From 76fc06a5dcca9ceb7766afb90120f684d01066d5 Mon Sep 17 00:00:00 2001
From: paboyle <paboyle@ph.ed.ac.uk>
Date: Thu, 20 Sep 2018 18:50:11 +0100
Subject: [PATCH 01/39] Updates with todo from Carleton

---
 documentation/manual.rst | 136 +++++++++++++++++++++++++++++++++++----
 1 file changed, 123 insertions(+), 13 deletions(-)

diff --git a/documentation/manual.rst b/documentation/manual.rst
index 5ab3dff9..26a99064 100644
--- a/documentation/manual.rst
+++ b/documentation/manual.rst
@@ -12,6 +12,8 @@ Welcome to Grid's documentation!
 Preliminaries
 ====================================
 
+.. attention:: manual version 1 (CD)
+   
 Grid is primarily an *application* *development* *interface* (API) for structured Cartesian grid codes and written in C++11.
 In particular it is aimed at Lattice Field Theory simulations in general gauge theories, but
 with a particular emphasis on supporting SU(3) and U(1) gauge theories relevant to hadronic physics.
@@ -221,6 +223,7 @@ If you want to build all the tests just use `make tests`.
 
 Detailed build configuration options
 ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
+.. todo:: CD: The double dash here gets turned into a pdf long dash. Not good.
 
 ========================================  ==============================================================================================================================
   Option                                     usage
@@ -242,6 +245,9 @@ Detailed build configuration options
  `--enable-doxygen-doc`                   enable the Doxygen documentation generation (build with `make doxygen-doc`)
 ========================================  ==============================================================================================================================
 
+.. todo:: CD: Somewhere, please provide more explanation of the --enable--gen-simd-width value
+.. todo:: CD: Are there really two --enable-precision lines?
+
 
 Possible communication interfaces
 ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
@@ -258,6 +264,9 @@ The following options can be use with the `--enable-comms=` option to target dif
 
 For the MPI interfaces the optional `-auto` suffix instructs the `configure` scripts to determine all the necessary compilation and linking flags. This is done by extracting the informations from the MPI wrapper specified in the environment variable `MPICXX` (if not specified `configure` will scan though a list of default names). The `-auto` suffix is not supported by the Cray environment wrapper scripts. Use the standard wrappers ( `CXX=CC` ) set up by Cray `PrgEnv` modules instead.  
 
+.. todo:: CD: Later below, there is an "mpi3". Should it be listed and
+          explained here?  Is there an "mpit"?
+
 
 Possible SIMD types
 ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
@@ -288,6 +297,7 @@ Alternatively, some CPU codenames can be directly used:
   `BGQ`         Blue Gene/Q                             
 ============    =====================================================================================================================
 
+
 Notes
 ^^^^^^^
 * We currently support AVX512 for the Intel compiler and GCC (KNL and SKL target). Support for clang will appear in future 
@@ -439,6 +449,8 @@ shared memory to communicate within this node::
 
   mpirun -np 8 ./omp_bind.sh ./Benchmark_dwf --mpi 2.2.2.1 --dslash-unroll --threads 8 --grid 16.16.16.16 --cacheblocking 4.4.4.4 
 
+.. todo:: CD: Maybe need bash highlighting, not cpp below - Generates warning
+	  
 Where omp_bind.sh does the following::
 
   #!/bin/bash
@@ -550,7 +562,9 @@ scalar matrix and vector classes::
 
     template<class vobj      > class iScalar { private: vobj _internal ; } 
     template<class vobj,int N> class iVector { private: vobj _internal[N] ; } 
-    template<class vobj,int N> class iMatrix { private: vobj _internal[N] ; } 
+    template<class vobj,int N> class iMatrix { private: vobj _internal[N] ; }
+
+.. todo:: CD: Why is iMatrix only [N] and not [N][N]?
 
 These are template classes and can be passed a fundamental scalar or vector type, or
 nested to form arbitrarily complicated tensor products of indices. All mathematical expressions
@@ -572,6 +586,11 @@ For Lattice field theory, we define types according to the following tensor
 product structure ordering. The suffix "D" indicates either double types, and
 replacing with "F" gives the corresponding single precision type.
 
+.. todo:: CD: The test cases have R, which takes the compiled default.
+	  Do we want to expose that and say something here?
+.. todo:: CD: What is "Lattice" here?  This section is about "iXXX" types.
+	  Maybe say a few more introductory words.
+
 =======   =======    ======  ======  ===========  =======================
 Lattice   Lorentz    Spin    Colour  scalar_type   Field
 =======   =======    ======  ======  ===========  =======================
@@ -586,6 +605,10 @@ Scalar    Scalar     Matrix  Matrix  ComplexD      SpinColourMatrixD
 
 The types are implemented via a recursive tensor nesting system.
 
+.. todo:: CD: What choices are available for vtype?  Is the "v" for "variable"?
+.. todo:: CD: Should we say iLorentzColourMatrix is a Grid-provided typename?
+	  Is there a list of similar convenience types?
+	  
 **Example** we declare::
 
   template<typename vtype> 
@@ -675,6 +698,12 @@ General code can access any specific index by number with a peek/poke semantic::
    template<int Level,class vtype>  
    void pokeIndex (vtype &pokeme,arg,int i,int j) 
 
+.. todo:: CD: The are the choices for "vtype"?
+	  
+.. todo:: CD: The example below does not use the template pair shown
+	  above.  It is good, but perhaps, also show the pair form of
+	  the same example if there is one.
+   
 **Example**::
 
     for (int mu = 0; mu < Nd; mu++) {
@@ -777,6 +806,8 @@ The traceless anti-Hermitian part is taken with::
 
 Reunitarisation (or reorthogonalisation) is enabled by::
 
+.. todo:: CD: U(3) or SU(3) projection?
+  
     template<class vtype,int N> iMatrix<vtype,N> 
     ProjectOnGroup(const iMatrix<vtype,N> &arg)
 
@@ -946,12 +977,18 @@ Internally, Grid defines a portable abstraction SIMD vectorisation, via the foll
 
 * vComplexD
 
+.. todo:: CD: Maybe say something about how SIMD vectorization works
+	  here.  Does a vRealF collect values for several SIMD lanes
+	  at once?
+  
 These have the usual range of arithmetic operators and functions acting upon them. They do not form
 part of the API, but are mentioned to (partially) explain the need for controlling the
-layout transformation in lattice objects. 
+layout transformation in lattice objects.
 
 They are documented further in the Internals chapter.
 
+.. todo:: CD: Might they be needed for interfacing with external code?
+
 Coordinates
 ------------
 
@@ -979,6 +1016,16 @@ This enables the coordinates to be manipulated without heap allocation or thread
 and avoids introducing STL functions into GPU code, but does so at the expense of introducing
 a maximum dimensionality. This limit is easy to change (lib/util/Coordinate.h).
 
+.. todo:: CD: It would be very useful to explain how the communicator
+	  works.  That would include how the processor grid is
+	  organized, how the lattice is subdivided across MPI ranks,
+	  why Grid prefers to renumber the MPI ranks, what coordinates
+	  go with what ranks?  Ordinarily, this is hidden from the
+	  user, but it is important for interfacing with external
+	  code. Some methods and members of the communicator class
+	  need to be "exposed" to make that possible. This might be a
+	  good place for such a subsection?
+
 Grids
 -------------
 
@@ -991,6 +1038,9 @@ We use a partial vectorisation transformation, must select
 which space-time dimensions participate in SIMD vectorisation.
 The Lattice containers are defined to have opaque internal layout, hiding this layout transformation.
 
+.. todo:: CD: The constructor simply defines the layout parameters.
+          It doesn't allocate space, right?  Might be good to say.
+	  
 We define GridCartesian and GridRedBlackCartesian which both inherit from GridBase::
 
     class GridCartesian        : public GridBase 
@@ -1021,6 +1071,11 @@ The Grid object provides much `internal` functionality to map a lattice site to
 a node and lexicographic index. These are not needed by code interfacing
 to the data parallel layer.
 
+.. todo:: CD: What is specified with "split_rank" above?
+.. todo:: CD: Maybe list the exposed Grid options within the "SpaceTimeGrid"
+          class.
+
+
 **Example** (tests/solver/Test_split_grid.cc)::
 
   const int Ls=8;
@@ -1094,6 +1149,10 @@ Vector   Scalar     Matrix  Matrix  ComplexD      LatticeSpinColourMatrixD
 Additional single precison variants are defined with the suffix "F".
 Other lattice objects can be defined using the sort of typedef's shown above if needed.
 
+.. todo:: CD: Are there others to expose, such as LatticeInteger,
+          LatticeFermionD, LatticeGaugeFieldD, LatticePropagatorD,
+          etc?  If so, could this list be made complete?
+
 Opaque containers
 ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
 
@@ -1108,6 +1167,8 @@ are provided (lib/lattice/Lattice_transfer.h)::
     unvectorizeToLexOrdArray(std::vector<sobj> &out, const Lattice<vobj> &in);
     vectorizeFromLexOrdArray(std::vector<sobj> &in , Lattice<vobj> &out);
 
+.. todo:: CD: Explain the choices for sobj and vobj.
+	  
 The Lexicographic order of data in the external vector fields is defined by (lib/util/Lexicographic.h)::
 
     Lexicographic::IndexFromCoor(const Coordinate &lcoor, int &lex,Coordinate *local_dims);
@@ -1115,7 +1176,7 @@ The Lexicographic order of data in the external vector fields is defined by (lib
 This ordering is :math:`x + L_x * y + L_x*L_y*z + L_x*L_y*L_z *t`
 
 Peek and poke routines are provided to perform single site operations. These operations are
-extremely low performance and are not intended for algorithm development or performance critical code.
+extremely low performance and are not intended for algorithm development or performance-critical code.
 
 The following are `collective` operations and involve communication between nodes. All nodes receive the same
 result by broadcast from the owning node::
@@ -1143,9 +1204,16 @@ peeking and poking specific indices in a data parallel manner::
     template<int Index,class vobj>   // Matrix poke
     void PokeIndex(Lattice<vobj> &lhs,const Lattice<> & rhs,int i,int j)
 
+.. todo:: CD: Maybe mention that these match operations with scalar
+          objects, as listed above under "Internal index manipulation."
+  
 The inconsistent capitalisation on the letter P is due to an obscure bug in g++ that has not to
 our knowledge been fixed in any version. The bug was reported in 2016.
 
+.. todo:: CD: Do you want to mention/expose PropToFerm and FermToProp?
+	  Are there other such convenience routines to make part of the API?
+
+
 Global Reduction operations
 ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
 
@@ -1310,7 +1378,7 @@ the iftrue and iffalse argument::
 
 This plays the data parallel analogue of the C++ ternary operator::
 
-     a = b ? c : d;
+     a == b ? c : d;
 
 In order to create the predicate in a coordinate dependent fashion it is often useful
 to use the lattice coordinates. 
@@ -1319,19 +1387,21 @@ The LatticeCoordinate function::
 
     template<class iobj> LatticeCoordinate(Lattice<iobj> &coor,int dir);
 
-fills an Integer field with the coordinate in the N-th dimension.
+fills an Integer field with the coordinate in the direction specified by "dir".
 A usage example is given
 
 **Example**::
 
-        int dir  =3;
-        int block=4;
+        int dir = 3;
+        int block = 4;
         LatticeInteger coor(FineGrid);
 
 	LatticeCoordinate(coor,dir);
 	
 	result = where(mod(coor,block)==(block-1),x,z);
 
+.. todo:: CD: A few words motivating this example?
+	  
 (Other usage cases of LatticeCoordinate include the generation of plane wave momentum phases.)
 
 Site local fused operations
@@ -1398,7 +1468,10 @@ The first parallel primitive is the thread_loop
 accelerator_loops
 ^^^^^^^^^^^^^^^^^^^^^^^^^^^^
 
-The second parallel primitive is an accelerated_loop
+The second parallel primitive is the "accelerator_loop".
+
+.. todo:: CD: What is the difference between these two loops?
+
 
 **Example**::
 
@@ -1462,7 +1535,7 @@ lattice site :math:`x_\mu = 1` in the rhs to :math:`x_\mu = 0` in the result.
 CovariantCshift 
 ^^^^^^^^^^^^^^^^^^^^
 
-Covariant Cshift operations are provided for common cases of boundary condition. These may be further optimised
+Covariant Cshift operations are provided for common cases of the boundary condition. These may be further optimised
 in future::
 
   template<class covariant,class gauge> 
@@ -1473,7 +1546,6 @@ in future::
   Lattice<covariant> CovShiftBackward(const Lattice<gauge> &Link, int mu,
 			              const Lattice<covariant> &field);
 
-
 Boundary conditions
 ^^^^^^^^^^^^^^^^^^^^
 
@@ -1502,6 +1574,10 @@ treating the boundary.
 			   Gimpl::CovShiftIdentityBackward(U[nu], nu))));
   }
 
+.. todo:: CD: This example uses Gimpl instead of Impl.  What is the
+          difference, and what are the exposed choices for Impl?
+
+
 Inter-grid transfer operations
 -----------------------------------------------------
 
@@ -2071,6 +2147,8 @@ MooeeInvDag
 
 All Fermion operators will derive from this base class.
 
+.. todo:: CD: Descriptions needed.
+
 Linear Operators
 -------------------
 
@@ -2082,6 +2160,8 @@ between RB and non-RB variants. Sparse matrix is like the fermion action def, an
 the wrappers implement the specialisation of "Op" and "AdjOp" to the cases minimising
 replication of code.
 
+.. todo:: CD: Descriptions needed below.
+
 **Abstract base**::
 
   template<class Field> class LinearOperatorBase {
@@ -2097,7 +2177,6 @@ replication of code.
     virtual void HermOp(const Field &in, Field &out)=0;
   };
 
-
 ==============           ==============================================
 Member                       Description
 ==============           ==============================================
@@ -2109,8 +2188,9 @@ HermOpAndNorm
 HermOp
 ==============           ==============================================
 
-MdagMLinearOperator
-^^^^^^^^^^^^^^^^^^^^
+
+	  MdagMLinearOperator
+^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
 
 This Linear operator takes a SparseMatrix (Fermion operator) and implements the unpreconditioned
 MdagM operator with the above interface::
@@ -2202,6 +2282,8 @@ SchurDiagOneRH
 SchurStaggeredOperator
 =======================       ======================================================================================
 
+.. todo:: CD: Descriptions needed.
+	  
 Operator Functions
 ===================
 
@@ -2250,6 +2332,8 @@ Audit this::
 Algorithms
 =========================================
 
+.. todo:: CD: The whole section needs to be completed, of course
+
 Approximation
 --------------
 
@@ -2319,6 +2403,12 @@ Schur decomposition
 Lattice Gauge theory utilities
 =========================================
 
+.. todo:: CD: The whole section needs to be completed, of course
+
+.. todo:: CD: Gamma matrices?
+	  Spin projection, reconstruction?
+	  Lie Algebra?
+
 Types
 --------------
 
@@ -2342,6 +2432,8 @@ Wilson loops
 Lattice actions
 =========================================
 
+.. todo:: CD: The whole section needs to be completed, of course
+	  
 Gauge
 --------
 
@@ -2354,10 +2446,13 @@ Pseudofermion
 HMC
 =========================================
 
+.. todo:: CD: The whole section needs to be completed, of course
 
 Development of the internals
 ========================================
 
+.. todo:: CD: The whole section needs to be completed, of course
+	  
 The interfaces used in this chapter of the manual are subject 
 to change without notice as new architectures are addressed.
 
@@ -2382,6 +2477,21 @@ Optimised fermion operators
 Optimised communications
 ---------------------------------------------
 
+Interfacing with external software
+========================================
+.. todo:: CD: Such a section should be very useful
+
+.. todo:: CD: The whole section needs to be completed, of course
+	  
+MPI initialization and coordination
+-----------------------------------
+
+Creating Grid fields
+--------------------
+
+Mapping fields between Grid and user layouts
+--------------------------------------------
+
 .. image:: logo.png
    :width: 200px
    :align: center

From 8bab544c2f53be04d258f887f086717dd00d59b3 Mon Sep 17 00:00:00 2001
From: paboyle <paboyle@ph.ed.ac.uk>
Date: Thu, 20 Sep 2018 18:51:11 +0100
Subject: [PATCH 02/39] Updated manual pdf

---
 documentation/_build/latex/Grid.pdf | Bin 492015 -> 498657 bytes
 1 file changed, 0 insertions(+), 0 deletions(-)

diff --git a/documentation/_build/latex/Grid.pdf b/documentation/_build/latex/Grid.pdf
index 03c37bd9c4052bca5915ecb869077bbb22d393cd..921e48ecdaa39997093a0a78d3ca7f65adc94cc5 100644
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E01k5MMgRZ+


From c012899ed5c01dec7e84949ae111619ceef721d7 Mon Sep 17 00:00:00 2001
From: Antonin Portelli <antonin.portelli@me.com>
Date: Fri, 21 Sep 2018 18:15:18 +0100
Subject: [PATCH 03/39] Hadrons: big update after templating of get/createGrid

---
 Hadrons/Environment.cc                        | 10 +---
 Hadrons/Environment.hpp                       |  1 -
 Hadrons/Global.hpp                            | 25 ++++-----
 Hadrons/Module.hpp                            | 18 ++++---
 Hadrons/Modules/MAction/DWF.hpp               |  2 +-
 Hadrons/Modules/MAction/MobiusDWF.hpp         |  2 +-
 Hadrons/Modules/MAction/ScaledDWF.hpp         |  2 +-
 Hadrons/Modules/MAction/Wilson.hpp            |  2 +-
 Hadrons/Modules/MAction/WilsonClover.hpp      |  2 +-
 Hadrons/Modules/MAction/ZMobiusDWF.hpp        |  2 +-
 Hadrons/Modules/MContraction/Meson.hpp        |  2 +-
 Hadrons/Modules/MFermion/FreeProp.hpp         |  2 +-
 Hadrons/Modules/MFermion/GaugeProp.hpp        |  2 +-
 Hadrons/Modules/MGauge/Random.cc              | 39 +-------------
 Hadrons/Modules/MGauge/Random.hpp             | 48 ++++++++++++++++-
 Hadrons/Modules/MGauge/StoutSmearing.hpp      |  2 +-
 Hadrons/Modules/MGauge/Unit.cc                | 37 +------------
 Hadrons/Modules/MGauge/Unit.hpp               | 46 +++++++++++++++-
 Hadrons/Modules/MIO/LoadNersc.cc              | 42 +--------------
 Hadrons/Modules/MIO/LoadNersc.hpp             | 52 ++++++++++++++++++-
 Hadrons/Modules/MScalar/ChargedProp.hpp       |  2 +-
 Hadrons/Modules/MScalar/FreeProp.hpp          |  2 +-
 Hadrons/Modules/MScalar/ScalarVP.hpp          |  2 +-
 Hadrons/Modules/MScalar/VPCounterTerms.hpp    |  2 +-
 Hadrons/Modules/MSink/Point.hpp               |  2 +-
 .../MSolver/MixedPrecisionRBPrecCG.hpp        |  4 +-
 Hadrons/Modules/MSolver/RBPrecCG.hpp          |  2 +-
 Hadrons/Modules/MSource/Point.hpp             |  2 +-
 Hadrons/Modules/MSource/SeqGamma.hpp          |  4 +-
 Hadrons/Modules/MSource/Z2.hpp                |  4 +-
 Hadrons/Modules/MUtilities/RandomVectors.hpp  | 11 +++-
 31 files changed, 203 insertions(+), 172 deletions(-)

diff --git a/Hadrons/Environment.cc b/Hadrons/Environment.cc
index ab5b4de9..d184ac0b 100644
--- a/Hadrons/Environment.cc
+++ b/Hadrons/Environment.cc
@@ -45,19 +45,13 @@ Environment::Environment(void)
 {
     dim_         = GridDefaultLatt();
     nd_          = dim_.size();
-    defaultGrid_ = {typeHash<vComplex>(), 1};
-    grid4d_[defaultGrid_].reset(
-        SpaceTimeGrid::makeFourDimGrid(dim_, 
-                                       GridDefaultSimd(nd_, vComplex::Nsimd()),
-                                       GridDefaultMpi()));
-    gridRb4d_[defaultGrid_].reset(
-        SpaceTimeGrid::makeFourDimRedBlackGrid(grid4d_[defaultGrid_].get()));
+    createGrid<vComplex>(1);
     vol_ = 1.;
     for (auto d: dim_)
     {
         vol_ *= d;
     }
-    rng4d_.reset(new GridParallelRNG(grid4d_[defaultGrid_].get()));
+    rng4d_.reset(new GridParallelRNG(getGrid()));
 }
 
 // grids ///////////////////////////////////////////////////////////////////////
diff --git a/Hadrons/Environment.hpp b/Hadrons/Environment.hpp
index 3cacd28b..8498cf81 100644
--- a/Hadrons/Environment.hpp
+++ b/Hadrons/Environment.hpp
@@ -174,7 +174,6 @@ private:
     bool                                protect_{true};
     // grids
     std::vector<int>                    dim_;
-    FineGridKey                         defaultGrid_;
     std::map<FineGridKey, GridPt>       grid4d_;
     std::map<FineGridKey, GridPt>       grid5d_;
     std::map<FineGridKey, GridRbPt>     gridRb4d_;
diff --git a/Hadrons/Global.hpp b/Hadrons/Global.hpp
index 61eb11c2..222990f6 100644
--- a/Hadrons/Global.hpp
+++ b/Hadrons/Global.hpp
@@ -96,19 +96,20 @@ using Grid::operator>>;
 BEGIN_HADRONS_NAMESPACE
 
 // type aliases
-#define FERM_TYPE_ALIASES(FImpl, suffix)\
-typedef FermionOperator<FImpl>                        FMat##suffix;            \
-typedef typename FImpl::FermionField                  FermionField##suffix;    \
-typedef typename FImpl::PropagatorField               PropagatorField##suffix; \
-typedef typename FImpl::SitePropagator::scalar_object SitePropagator##suffix;  \
-typedef std::vector<SitePropagator##suffix>           SlicedPropagator##suffix;
+#define BASIC_TYPE_ALIASES(Impl, suffix)\
+typedef typename Impl::Field                         ScalarField##suffix;\
+typedef typename Impl::PropagatorField               PropagatorField##suffix;\
+typedef typename Impl::SitePropagator::scalar_object SitePropagator##suffix;\
+typedef std::vector<SitePropagator##suffix>          SlicedPropagator##suffix;
 
-#define GAUGE_TYPE_ALIASES(FImpl, suffix)\
+#define FERM_TYPE_ALIASES(FImpl, suffix)\
+BASIC_TYPE_ALIASES(FImpl, suffix);\
+typedef FermionOperator<FImpl>            FMat##suffix;\
+typedef typename FImpl::FermionField      FermionField##suffix;\
 typedef typename FImpl::DoubledGaugeField DoubledGaugeField##suffix;
 
-#define SCALAR_TYPE_ALIASES(SImpl, suffix)\
-typedef typename SImpl::Field ScalarField##suffix;\
-typedef typename SImpl::Field PropagatorField##suffix;
+#define GAUGE_TYPE_ALIASES(GImpl, suffix)\
+typedef typename GImpl::GaugeField GaugeField##suffix;
 
 #define SOLVER_TYPE_ALIASES(FImpl, suffix)\
 typedef Solver<FImpl> Solver##suffix;
@@ -117,10 +118,6 @@ typedef Solver<FImpl> Solver##suffix;
 typedef std::function<SlicedPropagator##suffix\
                       (const PropagatorField##suffix &)> SinkFn##suffix;
 
-#define FG_TYPE_ALIASES(FImpl, suffix)\
-FERM_TYPE_ALIASES(FImpl, suffix)\
-GAUGE_TYPE_ALIASES(FImpl, suffix)
-
 // logger
 class HadronsLogger: public Logger
 {
diff --git a/Hadrons/Module.hpp b/Hadrons/Module.hpp
index f16c38e8..e9c1c449 100644
--- a/Hadrons/Module.hpp
+++ b/Hadrons/Module.hpp
@@ -67,6 +67,12 @@ MODULE_REGISTER(mod, ARG(base), ns);
 #define ARG(...) __VA_ARGS__
 #define MACRO_REDIRECT(arg1, arg2, arg3, macro, ...) macro
 
+#define envCreateGrid(latticeType, Ls)\
+env().template createGrid<typename latticeType::vector_type>(Ls)
+
+#define envGetGrid(latticeType, Ls)\
+env().template getGrid<typename latticeType::vector_type>(Ls)
+
 #define envGet(type, name)\
 *env().template getObject<type>(name)
 
@@ -86,10 +92,10 @@ env().template createObject<type>(name, Environment::Storage::object, Ls, __VA_A
 env().template createDerivedObject<base, type>(name, Environment::Storage::object, Ls, __VA_ARGS__)
 
 #define envCreateLat4(type, name)\
-envCreate(type, name, 1, env().getGrid())
+envCreate(type, name, 1, env().template getGrid<typename type::vector_type>())
 
 #define envCreateLat5(type, name, Ls)\
-envCreate(type, name, Ls, env().getGrid(Ls))
+envCreate(type, name, Ls, env().template getGrid<typename type::vector_type>(Ls))
 
 #define envCreateLat(...)\
 MACRO_REDIRECT(__VA_ARGS__, envCreateLat5, envCreateLat4)(__VA_ARGS__)
@@ -98,10 +104,10 @@ MACRO_REDIRECT(__VA_ARGS__, envCreateLat5, envCreateLat4)(__VA_ARGS__)
 env().template createObject<type>(name, Environment::Storage::cache, Ls, __VA_ARGS__)
 
 #define envCacheLat4(type, name)\
-envCache(type, name, 1, env().getGrid())
+envCache(type, name, 1, env().template getGrid<typename type::vector_type>())
 
 #define envCacheLat5(type, name, Ls)\
-envCache(type, name, Ls, env().getGrid(Ls))
+envCache(type, name, Ls, env().template getGrid<typename type::vector_type>(Ls))
 
 #define envCacheLat(...)\
 MACRO_REDIRECT(__VA_ARGS__, envCacheLat5, envCacheLat4)(__VA_ARGS__)
@@ -111,10 +117,10 @@ env().template createObject<type>(getName() + "_tmp_" + name,         \
                                   Environment::Storage::temporary, Ls, __VA_ARGS__)
 
 #define envTmpLat4(type, name)\
-envTmp(type, name, 1, env().getGrid())
+envTmp(type, name, 1, env().template getGrid<typename type::vector_type>())
 
 #define envTmpLat5(type, name, Ls)\
-envTmp(type, name, Ls, env().getGrid(Ls))
+envTmp(type, name, Ls, env().template getGrid<typename type::vector_type>(Ls))
 
 #define envTmpLat(...)\
 MACRO_REDIRECT(__VA_ARGS__, envTmpLat5, envTmpLat4)(__VA_ARGS__)
diff --git a/Hadrons/Modules/MAction/DWF.hpp b/Hadrons/Modules/MAction/DWF.hpp
index 88ceed75..714bccc3 100644
--- a/Hadrons/Modules/MAction/DWF.hpp
+++ b/Hadrons/Modules/MAction/DWF.hpp
@@ -56,7 +56,7 @@ template <typename FImpl>
 class TDWF: public Module<DWFPar>
 {
 public:
-    FG_TYPE_ALIASES(FImpl,);
+    FERM_TYPE_ALIASES(FImpl,);
 public:
     // constructor
     TDWF(const std::string name);
diff --git a/Hadrons/Modules/MAction/MobiusDWF.hpp b/Hadrons/Modules/MAction/MobiusDWF.hpp
index 47e72ab8..4db2ebb6 100644
--- a/Hadrons/Modules/MAction/MobiusDWF.hpp
+++ b/Hadrons/Modules/MAction/MobiusDWF.hpp
@@ -56,7 +56,7 @@ template <typename FImpl>
 class TMobiusDWF: public Module<MobiusDWFPar>
 {
 public:
-    FG_TYPE_ALIASES(FImpl,);
+    FERM_TYPE_ALIASES(FImpl,);
 public:
     // constructor
     TMobiusDWF(const std::string name);
diff --git a/Hadrons/Modules/MAction/ScaledDWF.hpp b/Hadrons/Modules/MAction/ScaledDWF.hpp
index f4f38810..850a8662 100644
--- a/Hadrons/Modules/MAction/ScaledDWF.hpp
+++ b/Hadrons/Modules/MAction/ScaledDWF.hpp
@@ -55,7 +55,7 @@ template <typename FImpl>
 class TScaledDWF: public Module<ScaledDWFPar>
 {
 public:
-    FG_TYPE_ALIASES(FImpl,);
+    FERM_TYPE_ALIASES(FImpl,);
 public:
     // constructor
     TScaledDWF(const std::string name);
diff --git a/Hadrons/Modules/MAction/Wilson.hpp b/Hadrons/Modules/MAction/Wilson.hpp
index 6fbded7c..cccd648f 100644
--- a/Hadrons/Modules/MAction/Wilson.hpp
+++ b/Hadrons/Modules/MAction/Wilson.hpp
@@ -54,7 +54,7 @@ template <typename FImpl>
 class TWilson: public Module<WilsonPar>
 {
 public:
-    FG_TYPE_ALIASES(FImpl,);
+    FERM_TYPE_ALIASES(FImpl,);
 public:
     // constructor
     TWilson(const std::string name);
diff --git a/Hadrons/Modules/MAction/WilsonClover.hpp b/Hadrons/Modules/MAction/WilsonClover.hpp
index 241bc6f9..48f4f44e 100644
--- a/Hadrons/Modules/MAction/WilsonClover.hpp
+++ b/Hadrons/Modules/MAction/WilsonClover.hpp
@@ -59,7 +59,7 @@ template <typename FImpl>
 class TWilsonClover: public Module<WilsonCloverPar>
 {
 public:
-    FG_TYPE_ALIASES(FImpl,);
+    FERM_TYPE_ALIASES(FImpl,);
 public:
     // constructor
     TWilsonClover(const std::string name);
diff --git a/Hadrons/Modules/MAction/ZMobiusDWF.hpp b/Hadrons/Modules/MAction/ZMobiusDWF.hpp
index 13aaddd6..6a02a1ec 100644
--- a/Hadrons/Modules/MAction/ZMobiusDWF.hpp
+++ b/Hadrons/Modules/MAction/ZMobiusDWF.hpp
@@ -57,7 +57,7 @@ template <typename FImpl>
 class TZMobiusDWF: public Module<ZMobiusDWFPar>
 {
 public:
-    FG_TYPE_ALIASES(FImpl,);
+    FERM_TYPE_ALIASES(FImpl,);
 public:
     // constructor
     TZMobiusDWF(const std::string name);
diff --git a/Hadrons/Modules/MContraction/Meson.hpp b/Hadrons/Modules/MContraction/Meson.hpp
index a5806d97..514a6bb9 100644
--- a/Hadrons/Modules/MContraction/Meson.hpp
+++ b/Hadrons/Modules/MContraction/Meson.hpp
@@ -77,7 +77,7 @@ class TMeson: public Module<MesonPar>
 public:
     FERM_TYPE_ALIASES(FImpl1, 1);
     FERM_TYPE_ALIASES(FImpl2, 2);
-    FERM_TYPE_ALIASES(ScalarImplCR, Scalar);
+    BASIC_TYPE_ALIASES(ScalarImplCR, Scalar);
     SINK_TYPE_ALIASES(Scalar);
     class Result: Serializable
     {
diff --git a/Hadrons/Modules/MFermion/FreeProp.hpp b/Hadrons/Modules/MFermion/FreeProp.hpp
index 000c2ea1..b5d7b1a3 100644
--- a/Hadrons/Modules/MFermion/FreeProp.hpp
+++ b/Hadrons/Modules/MFermion/FreeProp.hpp
@@ -56,7 +56,7 @@ template <typename FImpl>
 class TFreeProp: public Module<FreePropPar>
 {
 public:
-    FG_TYPE_ALIASES(FImpl,);
+    FERM_TYPE_ALIASES(FImpl,);
 public:
     // constructor
     TFreeProp(const std::string name);
diff --git a/Hadrons/Modules/MFermion/GaugeProp.hpp b/Hadrons/Modules/MFermion/GaugeProp.hpp
index e6408a6d..e779ae68 100644
--- a/Hadrons/Modules/MFermion/GaugeProp.hpp
+++ b/Hadrons/Modules/MFermion/GaugeProp.hpp
@@ -56,7 +56,7 @@ template <typename FImpl>
 class TGaugeProp: public Module<GaugePropPar>
 {
 public:
-    FG_TYPE_ALIASES(FImpl,);
+    FERM_TYPE_ALIASES(FImpl,);
     SOLVER_TYPE_ALIASES(FImpl,);
 public:
     // constructor
diff --git a/Hadrons/Modules/MGauge/Random.cc b/Hadrons/Modules/MGauge/Random.cc
index 2c5ae761..040cd91a 100644
--- a/Hadrons/Modules/MGauge/Random.cc
+++ b/Hadrons/Modules/MGauge/Random.cc
@@ -25,47 +25,10 @@ with this program; if not, write to the Free Software Foundation, Inc.,
 See the full license in the file "LICENSE" in the top level distribution directory
 *************************************************************************************/
 /*  END LEGAL */
-
 #include <Hadrons/Modules/MGauge/Random.hpp>
 
 using namespace Grid;
 using namespace Hadrons;
 using namespace MGauge;
 
-/******************************************************************************
-*                           TRandom implementation                            *
-******************************************************************************/
-// constructor /////////////////////////////////////////////////////////////////
-TRandom::TRandom(const std::string name)
-: Module<NoPar>(name)
-{}
-
-// dependencies/products ///////////////////////////////////////////////////////
-std::vector<std::string> TRandom::getInput(void)
-{
-    std::vector<std::string> in;
-    
-    return in;
-}
-
-std::vector<std::string> TRandom::getOutput(void)
-{
-    std::vector<std::string> out = {getName()};
-    
-    return out;
-}
-
-// setup ///////////////////////////////////////////////////////////////////////
-void TRandom::setup(void)
-{
-    envCreateLat(LatticeGaugeField, getName());
-}
-
-// execution ///////////////////////////////////////////////////////////////////
-void TRandom::execute(void)
-{
-    LOG(Message) << "Generating random gauge configuration" << std::endl;
-    
-    auto &U = envGet(LatticeGaugeField, getName());
-    SU3::HotConfiguration(rng4d(), U);
-}
+template class Grid::Hadrons::MGauge::TRandom<GIMPL>;
diff --git a/Hadrons/Modules/MGauge/Random.hpp b/Hadrons/Modules/MGauge/Random.hpp
index 6a9c3592..84b8dba0 100644
--- a/Hadrons/Modules/MGauge/Random.hpp
+++ b/Hadrons/Modules/MGauge/Random.hpp
@@ -40,8 +40,11 @@ BEGIN_HADRONS_NAMESPACE
  ******************************************************************************/
 BEGIN_MODULE_NAMESPACE(MGauge)
 
+template <typename GImpl>
 class TRandom: public Module<NoPar>
 {
+public:
+    GAUGE_TYPE_ALIASES(GImpl,);
 public:
     // constructor
     TRandom(const std::string name);
@@ -57,7 +60,50 @@ protected:
     virtual void execute(void);
 };
 
-MODULE_REGISTER(Random, TRandom, MGauge);
+MODULE_REGISTER_TMP(Random, TRandom<GIMPL>, MGauge);
+
+/******************************************************************************
+*                           TRandom implementation                            *
+******************************************************************************/
+// constructor /////////////////////////////////////////////////////////////////
+template <typename GImpl>
+TRandom<GImpl>::TRandom(const std::string name)
+: Module<NoPar>(name)
+{}
+
+// dependencies/products ///////////////////////////////////////////////////////
+template <typename GImpl>
+std::vector<std::string> TRandom<GImpl>::getInput(void)
+{
+    std::vector<std::string> in;
+    
+    return in;
+}
+
+template <typename GImpl>
+std::vector<std::string> TRandom<GImpl>::getOutput(void)
+{
+    std::vector<std::string> out = {getName()};
+    
+    return out;
+}
+
+// setup ///////////////////////////////////////////////////////////////////////
+template <typename GImpl>
+void TRandom<GImpl>::setup(void)
+{
+    envCreateLat(GaugeField, getName());
+}
+
+// execution ///////////////////////////////////////////////////////////////////
+template <typename GImpl>
+void TRandom<GImpl>::execute(void)
+{
+    LOG(Message) << "Generating random gauge configuration" << std::endl;
+    
+    auto &U = envGet(GaugeField, getName());
+    GImpl::HotConfiguration(rng4d(), U);
+}
 
 END_MODULE_NAMESPACE
 
diff --git a/Hadrons/Modules/MGauge/StoutSmearing.hpp b/Hadrons/Modules/MGauge/StoutSmearing.hpp
index e859dde5..973ac38d 100644
--- a/Hadrons/Modules/MGauge/StoutSmearing.hpp
+++ b/Hadrons/Modules/MGauge/StoutSmearing.hpp
@@ -52,7 +52,7 @@ template <typename GImpl>
 class TStoutSmearing: public Module<StoutSmearingPar>
 {
 public:
-    typedef typename GImpl::Field GaugeField;
+    GAUGE_TYPE_ALIASES(GImpl,);
 public:
     // constructor
     TStoutSmearing(const std::string name);
diff --git a/Hadrons/Modules/MGauge/Unit.cc b/Hadrons/Modules/MGauge/Unit.cc
index f273a187..02ad7c0b 100644
--- a/Hadrons/Modules/MGauge/Unit.cc
+++ b/Hadrons/Modules/MGauge/Unit.cc
@@ -25,45 +25,10 @@ with this program; if not, write to the Free Software Foundation, Inc.,
 See the full license in the file "LICENSE" in the top level distribution directory
 *************************************************************************************/
 /*  END LEGAL */
-
 #include <Hadrons/Modules/MGauge/Unit.hpp>
 
 using namespace Grid;
 using namespace Hadrons;
 using namespace MGauge;
 
-/******************************************************************************
-*                            TUnit implementation                             *
-******************************************************************************/
-// constructor /////////////////////////////////////////////////////////////////
-TUnit::TUnit(const std::string name)
-: Module<NoPar>(name)
-{}
-
-// dependencies/products ///////////////////////////////////////////////////////
-std::vector<std::string> TUnit::getInput(void)
-{
-    return std::vector<std::string>();
-}
-
-std::vector<std::string> TUnit::getOutput(void)
-{
-    std::vector<std::string> out = {getName()};
-    
-    return out;
-}
-
-// setup ///////////////////////////////////////////////////////////////////////
-void TUnit::setup(void)
-{
-    envCreateLat(LatticeGaugeField, getName());
-}
-
-// execution ///////////////////////////////////////////////////////////////////
-void TUnit::execute(void)
-{
-    LOG(Message) << "Creating unit gauge configuration" << std::endl;
-    
-    auto &U = envGet(LatticeGaugeField, getName());
-    SU3::ColdConfiguration(rng4d(), U);
-}
+template class Grid::Hadrons::MGauge::TUnit<GIMPL>;
diff --git a/Hadrons/Modules/MGauge/Unit.hpp b/Hadrons/Modules/MGauge/Unit.hpp
index f0af186f..f123f25b 100644
--- a/Hadrons/Modules/MGauge/Unit.hpp
+++ b/Hadrons/Modules/MGauge/Unit.hpp
@@ -40,8 +40,11 @@ BEGIN_HADRONS_NAMESPACE
  ******************************************************************************/
 BEGIN_MODULE_NAMESPACE(MGauge)
 
+template <typename GImpl>
 class TUnit: public Module<NoPar>
 {
+public:
+    GAUGE_TYPE_ALIASES(GImpl,);
 public:
     // constructor
     TUnit(const std::string name);
@@ -57,7 +60,48 @@ protected:
     virtual void execute(void);
 };
 
-MODULE_REGISTER(Unit, TUnit, MGauge);
+MODULE_REGISTER_TMP(Unit, TUnit<GIMPL>, MGauge);
+
+/******************************************************************************
+*                            TUnit implementation                             *
+******************************************************************************/
+// constructor /////////////////////////////////////////////////////////////////
+template <typename GImpl>
+TUnit<GImpl>::TUnit(const std::string name)
+: Module<NoPar>(name)
+{}
+
+// dependencies/products ///////////////////////////////////////////////////////
+template <typename GImpl>
+std::vector<std::string> TUnit<GImpl>::getInput(void)
+{
+    return std::vector<std::string>();
+}
+
+template <typename GImpl>
+std::vector<std::string> TUnit<GImpl>::getOutput(void)
+{
+    std::vector<std::string> out = {getName()};
+    
+    return out;
+}
+
+// setup ///////////////////////////////////////////////////////////////////////
+template <typename GImpl>
+void TUnit<GImpl>::setup(void)
+{
+    envCreateLat(GaugeField, getName());
+}
+
+// execution ///////////////////////////////////////////////////////////////////
+template <typename GImpl>
+void TUnit<GImpl>::execute(void)
+{
+    LOG(Message) << "Creating unit gauge configuration" << std::endl;
+    
+    auto &U = envGet(GaugeField, getName());
+    GImpl::ColdConfiguration(rng4d(), U);
+}
 
 END_MODULE_NAMESPACE
 
diff --git a/Hadrons/Modules/MIO/LoadNersc.cc b/Hadrons/Modules/MIO/LoadNersc.cc
index 6d26c2a8..ce7276f9 100644
--- a/Hadrons/Modules/MIO/LoadNersc.cc
+++ b/Hadrons/Modules/MIO/LoadNersc.cc
@@ -31,44 +31,4 @@ using namespace Grid;
 using namespace Hadrons;
 using namespace MIO;
 
-/******************************************************************************
-*                       TLoadNersc implementation                             *
-******************************************************************************/
-// constructor /////////////////////////////////////////////////////////////////
-TLoadNersc::TLoadNersc(const std::string name)
-: Module<LoadNerscPar>(name)
-{}
-
-// dependencies/products ///////////////////////////////////////////////////////
-std::vector<std::string> TLoadNersc::getInput(void)
-{
-    std::vector<std::string> in;
-    
-    return in;
-}
-
-std::vector<std::string> TLoadNersc::getOutput(void)
-{
-    std::vector<std::string> out = {getName()};
-    
-    return out;
-}
-
-// setup ///////////////////////////////////////////////////////////////////////
-void TLoadNersc::setup(void)
-{
-    envCreateLat(LatticeGaugeField, getName());
-}
-
-// execution ///////////////////////////////////////////////////////////////////
-void TLoadNersc::execute(void)
-{
-    FieldMetaData header;
-    std::string   fileName = par().file + "."
-                             + std::to_string(vm().getTrajectory());
-    LOG(Message) << "Loading NERSC configuration from file '" << fileName
-                 << "'" << std::endl;
-
-    auto &U = envGet(LatticeGaugeField, getName());
-    NerscIO::readConfiguration(U, header, fileName);
-}
+template class Grid::Hadrons::MIO::TLoadNersc<GIMPL>;
diff --git a/Hadrons/Modules/MIO/LoadNersc.hpp b/Hadrons/Modules/MIO/LoadNersc.hpp
index 231b2f47..c0e69511 100644
--- a/Hadrons/Modules/MIO/LoadNersc.hpp
+++ b/Hadrons/Modules/MIO/LoadNersc.hpp
@@ -46,8 +46,11 @@ public:
                                     std::string, file);
 };
 
+template <typename GImpl>
 class TLoadNersc: public Module<LoadNerscPar>
 {
+public:
+    GAUGE_TYPE_ALIASES(GImpl,);
 public:
     // constructor
     TLoadNersc(const std::string name);
@@ -62,7 +65,54 @@ public:
     virtual void execute(void);
 };
 
-MODULE_REGISTER(LoadNersc, TLoadNersc, MIO);
+MODULE_REGISTER_TMP(LoadNersc,  TLoadNersc<GIMPL>,  MIO);
+
+/******************************************************************************
+*                       TLoadNersc implementation                             *
+******************************************************************************/
+// constructor /////////////////////////////////////////////////////////////////
+template <typename GImpl>
+TLoadNersc<GImpl>::TLoadNersc(const std::string name)
+: Module<LoadNerscPar>(name)
+{}
+
+// dependencies/products ///////////////////////////////////////////////////////
+template <typename GImpl>
+std::vector<std::string> TLoadNersc<GImpl>::getInput(void)
+{
+    std::vector<std::string> in;
+    
+    return in;
+}
+
+template <typename GImpl>
+std::vector<std::string> TLoadNersc<GImpl>::getOutput(void)
+{
+    std::vector<std::string> out = {getName()};
+    
+    return out;
+}
+
+// setup ///////////////////////////////////////////////////////////////////////
+template <typename GImpl>
+void TLoadNersc<GImpl>::setup(void)
+{
+    envCreateLat(GaugeField, getName());
+}
+
+// execution ///////////////////////////////////////////////////////////////////
+template <typename GImpl>
+void TLoadNersc<GImpl>::execute(void)
+{
+    FieldMetaData header;
+    std::string   fileName = par().file + "."
+                             + std::to_string(vm().getTrajectory());
+    LOG(Message) << "Loading NERSC configuration from file '" << fileName
+                 << "'" << std::endl;
+
+    auto &U = envGet(GaugeField, getName());
+    NerscIO::readConfiguration(U, header, fileName);
+}
 
 END_MODULE_NAMESPACE
 
diff --git a/Hadrons/Modules/MScalar/ChargedProp.hpp b/Hadrons/Modules/MScalar/ChargedProp.hpp
index bf098cd1..443c38a6 100644
--- a/Hadrons/Modules/MScalar/ChargedProp.hpp
+++ b/Hadrons/Modules/MScalar/ChargedProp.hpp
@@ -55,7 +55,7 @@ public:
 class TChargedProp: public Module<ChargedPropPar>
 {
 public:
-    SCALAR_TYPE_ALIASES(SIMPL,);
+    BASIC_TYPE_ALIASES(SIMPL,);
     typedef PhotonR::GaugeField     EmField;
     typedef PhotonR::GaugeLinkField EmComp;
     class Result: Serializable
diff --git a/Hadrons/Modules/MScalar/FreeProp.hpp b/Hadrons/Modules/MScalar/FreeProp.hpp
index 25f5f709..5ed6756d 100644
--- a/Hadrons/Modules/MScalar/FreeProp.hpp
+++ b/Hadrons/Modules/MScalar/FreeProp.hpp
@@ -51,7 +51,7 @@ public:
 class TFreeProp: public Module<FreePropPar>
 {
 public:
-    SCALAR_TYPE_ALIASES(SIMPL,);
+    BASIC_TYPE_ALIASES(SIMPL,);
 public:
     // constructor
     TFreeProp(const std::string name);
diff --git a/Hadrons/Modules/MScalar/ScalarVP.hpp b/Hadrons/Modules/MScalar/ScalarVP.hpp
index b7b2431f..3cd01249 100644
--- a/Hadrons/Modules/MScalar/ScalarVP.hpp
+++ b/Hadrons/Modules/MScalar/ScalarVP.hpp
@@ -53,7 +53,7 @@ public:
 class TScalarVP: public Module<ScalarVPPar>
 {
 public:
-    SCALAR_TYPE_ALIASES(SIMPL,);
+    BASIC_TYPE_ALIASES(SIMPL,);
     typedef PhotonR::GaugeField     EmField;
     typedef PhotonR::GaugeLinkField EmComp;
     class Result: Serializable
diff --git a/Hadrons/Modules/MScalar/VPCounterTerms.hpp b/Hadrons/Modules/MScalar/VPCounterTerms.hpp
index e7335694..8bbc3e20 100644
--- a/Hadrons/Modules/MScalar/VPCounterTerms.hpp
+++ b/Hadrons/Modules/MScalar/VPCounterTerms.hpp
@@ -53,7 +53,7 @@ public:
 class TVPCounterTerms: public Module<VPCounterTermsPar>
 {
 public:
-    SCALAR_TYPE_ALIASES(SIMPL,);
+    BASIC_TYPE_ALIASES(SIMPL,);
     class Result: Serializable
     {
     public:
diff --git a/Hadrons/Modules/MSink/Point.hpp b/Hadrons/Modules/MSink/Point.hpp
index ea164ced..f7970346 100644
--- a/Hadrons/Modules/MSink/Point.hpp
+++ b/Hadrons/Modules/MSink/Point.hpp
@@ -53,7 +53,7 @@ template <typename FImpl>
 class TPoint: public Module<PointPar>
 {
 public:
-    FERM_TYPE_ALIASES(FImpl,);
+    BASIC_TYPE_ALIASES(FImpl,);
     SINK_TYPE_ALIASES();
 public:
     // constructor
diff --git a/Hadrons/Modules/MSolver/MixedPrecisionRBPrecCG.hpp b/Hadrons/Modules/MSolver/MixedPrecisionRBPrecCG.hpp
index 5ada4e69..5be1e3ce 100644
--- a/Hadrons/Modules/MSolver/MixedPrecisionRBPrecCG.hpp
+++ b/Hadrons/Modules/MSolver/MixedPrecisionRBPrecCG.hpp
@@ -58,8 +58,8 @@ template <typename FImplInner, typename FImplOuter, int nBasis>
 class TMixedPrecisionRBPrecCG: public Module<MixedPrecisionRBPrecCGPar>
 {
 public:
-    FG_TYPE_ALIASES(FImplInner, Inner);
-    FG_TYPE_ALIASES(FImplOuter, Outer);
+    FERM_TYPE_ALIASES(FImplInner, Inner);
+    FERM_TYPE_ALIASES(FImplOuter, Outer);
     SOLVER_TYPE_ALIASES(FImplOuter,);
     typedef HADRONS_DEFAULT_SCHUR_OP<FMatInner, FermionFieldInner> SchurFMatInner;
     typedef HADRONS_DEFAULT_SCHUR_OP<FMatOuter, FermionFieldOuter> SchurFMatOuter;
diff --git a/Hadrons/Modules/MSolver/RBPrecCG.hpp b/Hadrons/Modules/MSolver/RBPrecCG.hpp
index 09779b3a..8c83c6a1 100644
--- a/Hadrons/Modules/MSolver/RBPrecCG.hpp
+++ b/Hadrons/Modules/MSolver/RBPrecCG.hpp
@@ -58,7 +58,7 @@ template <typename FImpl, int nBasis>
 class TRBPrecCG: public Module<RBPrecCGPar>
 {
 public:
-    FG_TYPE_ALIASES(FImpl,);
+    FERM_TYPE_ALIASES(FImpl,);
     SOLVER_TYPE_ALIASES(FImpl,);
 public:
     // constructor
diff --git a/Hadrons/Modules/MSource/Point.hpp b/Hadrons/Modules/MSource/Point.hpp
index 076a078d..082c04e8 100644
--- a/Hadrons/Modules/MSource/Point.hpp
+++ b/Hadrons/Modules/MSource/Point.hpp
@@ -63,7 +63,7 @@ template <typename FImpl>
 class TPoint: public Module<PointPar>
 {
 public:
-    FERM_TYPE_ALIASES(FImpl,);
+    BASIC_TYPE_ALIASES(FImpl,);
 public:
     // constructor
     TPoint(const std::string name);
diff --git a/Hadrons/Modules/MSource/SeqGamma.hpp b/Hadrons/Modules/MSource/SeqGamma.hpp
index 59776e80..59fdb7ae 100644
--- a/Hadrons/Modules/MSource/SeqGamma.hpp
+++ b/Hadrons/Modules/MSource/SeqGamma.hpp
@@ -71,7 +71,7 @@ template <typename FImpl>
 class TSeqGamma: public Module<SeqGammaPar>
 {
 public:
-    FG_TYPE_ALIASES(FImpl,);
+    FERM_TYPE_ALIASES(FImpl,);
 public:
     // constructor
     TSeqGamma(const std::string name);
@@ -125,7 +125,7 @@ template <typename FImpl>
 void TSeqGamma<FImpl>::setup(void)
 {
     envCreateLat(PropagatorField, getName());
-    envCacheLat(Lattice<iScalar<vInteger>>, tName_);
+    envCache(Lattice<iScalar<vInteger>>, tName_, 1, env().getGrid());
     envCacheLat(LatticeComplex, momphName_);
     envTmpLat(LatticeComplex, "coor");
 }
diff --git a/Hadrons/Modules/MSource/Z2.hpp b/Hadrons/Modules/MSource/Z2.hpp
index f2ca50be..ec57fbd4 100644
--- a/Hadrons/Modules/MSource/Z2.hpp
+++ b/Hadrons/Modules/MSource/Z2.hpp
@@ -66,7 +66,7 @@ template <typename FImpl>
 class TZ2: public Module<Z2Par>
 {
 public:
-    FERM_TYPE_ALIASES(FImpl,);
+    BASIC_TYPE_ALIASES(FImpl,);
 public:
     // constructor
     TZ2(const std::string name);
@@ -120,7 +120,7 @@ template <typename FImpl>
 void TZ2<FImpl>::setup(void)
 {
     envCreateLat(PropagatorField, getName());
-    envCacheLat(Lattice<iScalar<vInteger>>, tName_);
+    envCache(Lattice<iScalar<vInteger>>, tName_, 1, env().getGrid());
     envTmpLat(LatticeComplex, "eta");
 }
 
diff --git a/Hadrons/Modules/MUtilities/RandomVectors.hpp b/Hadrons/Modules/MUtilities/RandomVectors.hpp
index 570198d4..2444b850 100644
--- a/Hadrons/Modules/MUtilities/RandomVectors.hpp
+++ b/Hadrons/Modules/MUtilities/RandomVectors.hpp
@@ -96,8 +96,15 @@ std::vector<std::string> TRandomVectors<Field>::getOutput(void)
 template <typename Field>
 void TRandomVectors<Field>::setup(void)
 {
-    envCreate(std::vector<Field>, getName(), par().Ls, par().size, 
-              env().getGrid(par().Ls));
+    if (par().Ls > 1)
+    {
+        envCreate(std::vector<Field>, getName(), par().Ls, par().size, 
+                  env().getGrid(par().Ls));
+    }
+    else
+    {
+        envCreate(std::vector<Field>, getName(), 1, par().size, env().getGrid());
+    }
 }
 
 // execution ///////////////////////////////////////////////////////////////////

From c632455129bceaedeef906fadffdc359b253ff06 Mon Sep 17 00:00:00 2001
From: Antonin Portelli <antonin.portelli@me.com>
Date: Fri, 21 Sep 2018 18:16:01 +0100
Subject: [PATCH 04/39] Hadrons: meson field IO fix

---
 Hadrons/A2AMatrix.hpp                         | 26 +++++++-------
 .../Modules/MContraction/A2AMesonField.hpp    | 36 +++++++++++--------
 2 files changed, 36 insertions(+), 26 deletions(-)

diff --git a/Hadrons/A2AMatrix.hpp b/Hadrons/A2AMatrix.hpp
index bcae395a..22eeddd1 100644
--- a/Hadrons/A2AMatrix.hpp
+++ b/Hadrons/A2AMatrix.hpp
@@ -39,13 +39,14 @@ public:
     A2AMatrixIo(void) = default;
     A2AMatrixIo(std::string filename, std::string dataname, 
                 const unsigned int nt, const unsigned int ni,
-                const unsigned int nj, const unsigned int blockSize);
+                const unsigned int nj);
     ~A2AMatrixIo(void) = default;
-    void initFile(const MetadataType &d);
-    void saveBlock(const T *data, const unsigned int i, const unsigned int j);
+    void initFile(const MetadataType &d, const unsigned int chunkSize);
+    void saveBlock(const T *data, const unsigned int i, const unsigned int j,
+                   const unsigned int blockSizei, const unsigned int blockSizej);
 private:
     std::string  filename_, dataname_;
-    unsigned int nt_, ni_, nj_, blockSize_;
+    unsigned int nt_, ni_, nj_;
 };
 
 template <typename T, typename MetadataType>
@@ -53,22 +54,21 @@ A2AMatrixIo<T, MetadataType>::A2AMatrixIo(std::string filename,
                                           std::string dataname, 
                                           const unsigned int nt, 
                                           const unsigned int ni,
-                                          const unsigned int nj,
-                                          const unsigned int blockSize)
+                                          const unsigned int nj)
 : filename_(filename), dataname_(dataname)
-, nt_(nt), ni_(ni), nj_(nj), blockSize_(blockSize)
+, nt_(nt), ni_(ni), nj_(nj)
 {}
 
 template <typename T, typename MetadataType>
-void A2AMatrixIo<T, MetadataType>::initFile(const MetadataType &d)
+void A2AMatrixIo<T, MetadataType>::initFile(const MetadataType &d, const unsigned int chunkSize)
 {
 #ifdef HAVE_HDF5
     std::vector<hsize_t>    dim = {static_cast<hsize_t>(nt_), 
                                    static_cast<hsize_t>(ni_), 
                                    static_cast<hsize_t>(nj_)},
                             chunk = {static_cast<hsize_t>(nt_), 
-                                     static_cast<hsize_t>(blockSize_), 
-                                     static_cast<hsize_t>(blockSize_)};
+                                     static_cast<hsize_t>(chunkSize), 
+                                     static_cast<hsize_t>(chunkSize)};
     H5NS::DataSpace         dataspace(dim.size(), dim.data());
     H5NS::DataSet           dataset;
     H5NS::DSetCreatPropList plist;
@@ -94,11 +94,13 @@ void A2AMatrixIo<T, MetadataType>::initFile(const MetadataType &d)
 template <typename T, typename MetadataType>
 void A2AMatrixIo<T, MetadataType>::saveBlock(const T *data, 
                                              const unsigned int i, 
-                                             const unsigned int j)
+                                             const unsigned int j,
+                                             const unsigned int blockSizei,
+                                             const unsigned int blockSizej)
 {
 #ifdef HAVE_HDF5
     Hdf5Reader           reader(filename_);
-    std::vector<hsize_t> count = {nt_, blockSize_, blockSize_},
+    std::vector<hsize_t> count = {nt_, blockSizei, blockSizej},
                          offset = {0, static_cast<hsize_t>(i),
                                    static_cast<hsize_t>(j)},
                          stride = {1, 1, 1},
diff --git a/Hadrons/Modules/MContraction/A2AMesonField.hpp b/Hadrons/Modules/MContraction/A2AMesonField.hpp
index 0f93a5b9..1a922b49 100644
--- a/Hadrons/Modules/MContraction/A2AMesonField.hpp
+++ b/Hadrons/Modules/MContraction/A2AMesonField.hpp
@@ -85,6 +85,7 @@ public:
         MatrixIo              io;
         A2AMesonFieldMetadata metadata;
         size_t                offset;
+        unsigned int          i, j, blockSizei, blockSizej;
     };
 public:
     // constructor
@@ -100,9 +101,9 @@ public:
     virtual void execute(void);
 private:
     // IO
-    std::string ioname(unsigned int m, unsigned int g) const;
-    std::string filename(unsigned int m, unsigned int g) const;
-    void saveBlock(const MF_IO_TYPE *data, IoHelper &h, unsigned int i, unsigned int j);
+    std::string ioname(const unsigned int m, const unsigned int g) const;
+    std::string filename(const unsigned int m, const unsigned int g) const;
+    void saveBlock(const MF_IO_TYPE *data, IoHelper &h);
 private:
     bool                                               hasPhase_{false};
     std::string                                        momphName_;
@@ -350,19 +351,23 @@ void TA2AMesonField<FImpl>::execute(void)
                 const unsigned int    m = f/ngamma, g = f % ngamma;
                 IoHelper              h;
 
-                h.io = MatrixIo(filename(m, g), ioname(m, g), nt, N_i, N_j, block);
+                h.io = MatrixIo(filename(m, g), ioname(m, g), nt, N_i, N_j);
                 for (auto pmu: mom_[m])
                 {
                     h.metadata.momentum.push_back(pmu);
                 }
                 h.metadata.gamma = gamma_[g];
-                h.offset         = (m*ngamma + g)*nt*block*block;
+                h.i              = i;
+                h.j              = j;
+                h.blockSizei     = mfBlock.dimension(3);
+                h.blockSizej     = mfBlock.dimension(4);
+                h.offset         = (m*ngamma + g)*nt*h.blockSizei*h.blockSizej;
                 nodeIo_.push_back(h);
             }
             // parallel IO
             for (auto &h: nodeIo_)
             {
-                saveBlock(mfBlock.data(), h, i, j);
+                saveBlock(mfBlock.data(), h);
             }
             env().getGrid()->Barrier();
 #else
@@ -372,14 +377,18 @@ void TA2AMesonField<FImpl>::execute(void)
             {
                 IoHelper h;
 
-                h.io = MatrixIo(filename(m, g), ioname(m, g), nt, N_i, N_j, block);
+                h.io = MatrixIo(filename(m, g), ioname(m, g), nt, N_i, N_j);
                 for (auto pmu: mom_[m])
                 {
                     h.metadata.momentum.push_back(pmu);
                 }
                 h.metadata.gamma = gamma_[g];
-                h.offset         = (m*ngamma + g)*nt*block*block;
-                saveBlock(mfBlock.data(), h, i, j);
+                h.i              = i;
+                h.j              = j;
+                h.blockSizei     = mfBlock.dimension(3);
+                h.blockSizej     = mfBlock.dimension(4);
+                h.offset         = (m*ngamma + g)*nt*h.blockSizei*h.blockSizej;
+                saveBlock(mfBlock.data(), h);
             }
 #endif
             stopTimer("IO: total");
@@ -416,17 +425,16 @@ std::string TA2AMesonField<FImpl>::filename(unsigned int m, unsigned int g) cons
 }
 
 template <typename FImpl>
-void TA2AMesonField<FImpl>::saveBlock(const MF_IO_TYPE *data, IoHelper &h, 
-                                      unsigned int i, unsigned int j)
+void TA2AMesonField<FImpl>::saveBlock(const MF_IO_TYPE *data, IoHelper &h)
 {
-    if ((i == 0) and (j == 0))
+    if ((h.i == 0) and (h.j == 0))
     {
         startTimer("IO: file creation");
-        h.io.initFile(h.metadata);
+        h.io.initFile(h.metadata, par().block);
         stopTimer("IO: file creation");
     }
     startTimer("IO: write block");
-    h.io.saveBlock(data + h.offset, i, j);
+    h.io.saveBlock(data + h.offset, h.i, h.j, h.blockSizei, h.blockSizej);
     stopTimer("IO: write block");
 }
 

From beed527ea37c90fd5e19b82d326eb8adc8eba5ff Mon Sep 17 00:00:00 2001
From: Peter Boyle <peterboyle@c000207.wlan.net.ed.ac.uk>
Date: Mon, 24 Sep 2018 15:09:51 +0100
Subject: [PATCH 05/39] Carletons chapter

---
 documentation/interfacing.rst | 197 ++++++++++++++++++++++++++++++++++
 1 file changed, 197 insertions(+)
 create mode 100644 documentation/interfacing.rst

diff --git a/documentation/interfacing.rst b/documentation/interfacing.rst
new file mode 100644
index 00000000..3fd0c8a3
--- /dev/null
+++ b/documentation/interfacing.rst
@@ -0,0 +1,197 @@
+Interfacing with external software
+========================================
+
+Grid provides a number of important modules, such as solvers and
+eigensolvers, that are highly optimized for complex vector/SIMD
+architectures, such as the Intel Xeon Phi KNL and Skylake processors.
+This growing library, with appropriate interfacing, can be accessed
+from existing code. Here we describe interfacing issues and provide
+examples.
+
+	  
+MPI initialization
+------------------
+
+Grid supports threaded MPI sends and receives and, if running with
+more than one thread, requires the MPI_THREAD_MULTIPLE mode of message
+passing. If the user initializes MPI before starting Grid, the
+appropriate initialization call is::
+
+  MPI_Init_thread(argc, argv, MPI_THREAD_MULTIPLE, &provided);
+  assert(MPI_THREAD_MULTIPLE == provided);
+
+Grid Initialization
+-------------------
+
+Grid itself is initialized with a call::
+
+  Grid_init(&argc, &argv);
+
+.. todo:: CD: Where are the command-line arguments explained above?
+	  
+where `argc` and `argv` are constructed to simulate the command-line
+options described above.  At a minimum one must provide the `--grid`
+and `--mpi` parameters.  The latter specifies the grid of processors
+(MPI ranks).
+
+The following Grid procedures are useful for verifying that Grid is
+properly initialized.
+
+=============================================================   ===========================================================================================================
+  Grid procedure                                                returns 
+=============================================================   ===========================================================================================================
+  std::vector<int> GridDefaultLatt();                           lattice size
+  std::vector<int> GridDefaultSimd(int Nd,vComplex::Nsimd());   SIMD layout
+  std::vector<int> GridDefaultMpi();                            MPI layout
+  int Grid::GridThread::GetThreads();                           number of threads
+
+MPI coordination
+----------------
+
+Grid wants to use its own numbering of MPI ranks and its own
+assignment of the lattice coordinates with each rank.  Obviously, the
+calling program and Grid must agree on these conventions.  It is
+convenient to use Grid's Cartesian communicator class to discover the
+processor assignments. For a four-dimensional processor grid one can
+define::
+
+  static Grid::CartesianCommunicator *grid_cart = NULL;
+  grid_cart = new Grid::CartesianCommunicator(processors);
+
+where `processors` is of type `std::vector<int>`, with values matching
+the MPI processor-layout dimensions specified with the `--mpi`
+argument in the `Grid_Init` call.  Then each MPI rank can obtain its
+processor coordinate using the Cartesian communicator instantiated
+above.  For example, in four dimensions::
+
+  std::vector<int> pePos(4);    
+  for(int i=0; i<4; i++)
+     pePos[i] = grid_cart->_processor_coor[i];
+
+and each MPI process can get its world rank from its processor
+coordinates using::
+
+  int peRank = grid_cart->RankFromProcessorCoor(pePos)
+	  
+Conversely, each MPI process can get its processor coordinates from
+its world rank using::
+
+  grid_cart->ProcessorCoorFromRank(peRank, pePos);
+
+If the calling program initialized MPI before initializing Grid, it is
+then important for each MPI process in the calling program to reset
+its rank number so it agrees with Grid::
+
+   MPI_Comm comm;
+   MPI_Comm_split(MPI_COMM_THISJOB,jobid,peRank,&comm);
+   MPI_COMM_THISJOB = comm;
+
+where `MPI_COMM_THISJOB` is initially a copy of `MPI_COMM_WORLD` (with
+`jobid = 0`), or it is a split communicator with `jobid` equal to the
+index number of the subcommunicator.  Once this is done,::
+
+  MPI_Comm_rank(MPI_COMM_THISJOB, &myrank);
+
+returns a rank that agrees with Grid's `peRank`.
+
+  
+Mapping fields between Grid and user layouts
+-------------------------------------------
+
+In order to map data between layouts, it is important to know
+how the lattice sites are distributed across the processor grid.  A
+lattice site with coordinates `r[mu]` is assigned to the processor with
+processor coordinates `pePos[mu]` according to the rule::
+
+  pePos[mu] = r[mu]/dim[mu]
+
+where `dim[mu]` is the lattice dimension in the `mu` direction.  For
+performance reasons, it is important that the external data layout
+follow the same rule.  Then data mapping can be done without
+requiring costly communication between ranks.  We assume this is the
+case here.
+
+When mapping data to and from Grid, one must choose a lattice object
+defined on the appropriate grid, whether it be a full lattice (4D
+`GridCartesian`), one of the checkerboards (4D
+`GridRedBlackCartesian`), a five-dimensional full grid (5D
+`GridCartesian`), or a five-dimensional checkerboard (5D
+`GridRedBlackCartesian`).  For example, an improved staggered fermion
+color-vector field `cv` on a single checkerboard would be constructed
+using
+
+**Example**::
+
+  std::vector<int> latt_size   = GridDefaultLatt();
+  std::vector<int> simd_layout = GridDefaultSimd(Nd,vComplex::Nsimd());
+  std::vector<int> mpi_layout  = GridDefaultMpi();
+
+  GridCartesian               Grid(latt_size,simd_layout,mpi_layout);
+  GridRedBlackCartesian       RBGrid(&Grid);
+
+  typename ImprovedStaggeredFermion::FermionField  cv(RBGrid);
+
+To map data within an MPI rank, the external code must iterate over
+the sites belonging to that rank (full or checkerboard as
+appropriate).  To import data into Grid, the external data on a single
+site with coordinates `r` is first copied into the appropriate Grid
+scalar object `s`.  Then it is copied into the Grid lattice field `l`
+with `pokeLocalSite`::
+
+  pokeLocalSite(const sobj &s, Lattice<vobj> &l, Coordinate &r);
+
+To export data from Grid, the reverse operation starts with::
+
+  peekLocalSite(const sobj &s, Lattice<vobj> &l, Coordinate &r);
+
+and then copies the single-site data from `s` into the corresponding
+external type.
+
+Here is an example that maps a single site's worth of data in a MILC
+color-vector field to a Grid scalar ColourVector object `cVec` and from
+there to the lattice colour-vector field `cv`, as defined above.
+
+**Example**::
+
+  indexToCoords(idx,r);
+  ColourVector cVec;
+  for(int col=0; col<Nc; col++)
+      cVec._internal._internal._internal[col] = 
+          Complex(src[idx].c[col].real, src[idx].c[col].imag);
+
+  pokeLocalSite(cVec, cv, r);
+
+Here the `indexToCoords()` function is a MILC mapping of the MILC site
+index `idx` to the 4D lattice coordinate `r`.
+
+Grid provides block- and multiple-rhs conjugate-gradient solvers. For
+this purpose it uses a 5D lattice. To map data to and from Grid data
+types, the index for the right-hand-side vector becomes the zeroth
+coordinate of a five-dimensional vector `r5`.  The remaining
+components of `r5` contain the 4D space-time coordinates.  The
+`pokeLocalSite/peekLocalSite` operations then accept the coordinate
+`r5`, provided the destination/source lattice object is also 5D.  In
+the example below data from a single site specified by `idx`,
+belonging to a set of `Ls` MILC color-vector fields, are copied into a
+Grid 5D fermion field `cv5`.
+
+**Example**::
+
+  GridCartesian * UGrid = SpaceTimeGrid::makeFourDimGrid(GridDefaultLatt();
+  GridRedBlackCartesian * FrbGrid = SpaceTimeGrid::makeFiveDimRedBlackGrid(Ls,UGrid)  typename ImprovedStaggeredFermion5D::FermionField  cv5(FrbGrid);
+
+  std::vector<int> r(4);
+  indexToCoords(idx,r);
+  std::vector<int> r5(1,0);
+  for( int d = 0; d < 4; d++ ) r5.push_back(r[d]);
+
+  for( int j = 0; j < Ls; j++ ){
+      r5[0] = j;
+      ColourVector cVec;
+      for(int col=0; col<Nc; col++){
+	  cVec._internal._internal._internal[col] = 
+	      Complex(src[j][idx].c[col].real, src[j][idx].c[col].imag);
+      }
+      pokeLocalSite(cVec, *(out->cv), r5);
+  }
+

From a55c6f34f37318fe848177fc2ad24f677187f1ce Mon Sep 17 00:00:00 2001
From: Peter Boyle <peterboyle@c000207.wlan.net.ed.ac.uk>
Date: Mon, 24 Sep 2018 15:44:35 +0100
Subject: [PATCH 06/39] Updated docs

---
 documentation/_build/latex/Grid.pdf | Bin 498657 -> 534819 bytes
 documentation/conf.py               |   3 +-
 documentation/manual.rst            | 680 +++++++++++++++++++++-------
 3 files changed, 515 insertions(+), 168 deletions(-)

diff --git a/documentation/_build/latex/Grid.pdf b/documentation/_build/latex/Grid.pdf
index 921e48ecdaa39997093a0a78d3ca7f65adc94cc5..8b9af1861b7d8cc94f24b407b8eca1efa3ed611f 100644
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diff --git a/documentation/conf.py b/documentation/conf.py
index 3915e259..dc055c4f 100644
--- a/documentation/conf.py
+++ b/documentation/conf.py
@@ -80,7 +80,8 @@ primary_domain = 'cpp'
 # a list of builtin themes.
 #
 html_theme = 'alabaster'
-
+html_use_smartypants = False
+smart_quotes = False
 # Theme options are theme-specific and customize the look and feel of a theme
 # further.  For a list of options available for each theme, see the
 # documentation.
diff --git a/documentation/manual.rst b/documentation/manual.rst
index 26a99064..7d8765a8 100644
--- a/documentation/manual.rst
+++ b/documentation/manual.rst
@@ -1,5 +1,4 @@
 .. Grid documentation 
-
 .. highlight:: cpp
 
 Welcome to Grid's documentation!
@@ -223,36 +222,32 @@ If you want to build all the tests just use `make tests`.
 
 Detailed build configuration options
 ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
-.. todo:: CD: The double dash here gets turned into a pdf long dash. Not good.
 
 ========================================  ==============================================================================================================================
-  Option                                     usage
+ Option                                     usage
 ========================================  ==============================================================================================================================
- `--prefix=<path>`                        installation prefix for Grid.
- `--with-gmp=<path>`                      look for GMP in the UNIX prefix `<path>`
- `--with-mpfr=<path>`                     look for MPFR in the UNIX prefix `<path>`
- `--with-fftw=<path>`                     look for FFTW in the UNIX prefix `<path>`
- `--with-lime=<path>`                     look for c-lime in the UNIX prefix `<path>`
- `--enable-lapack[=<path>]`               enable LAPACK support in Lanczos eigensolver. A UNIX prefix containing the library can be specified (optional).
- `--enable-mkl[=<path>]`                  use Intel MKL for FFT (and LAPACK if enabled) routines. A UNIX prefix containing the library can be specified (optional).
- `--enable-simd=<code>`                   setup Grid for the SIMD target `<code>` (default: `GEN`). A list of possible SIMD targets is detailed in a section below.
- `--enable-gen-simd-width=<size>`         select the size (in bytes) of the generic SIMD vector type (default: 32 bytes).
- `--enable-precision={single|double}`     set the default precision (default: `double`).
- `--enable-precision=<comm>`              use `<comm>` for message passing (default: `none`). A list of possible SIMD targets is detailed in a section below.
- `--enable-rng={sitmo|ranlux48|mt19937}`  choose the RNG (default: `sitmo`).
- `--disable-timers`                       disable system dependent high-resolution timers.
- `--enable-chroma`                        enable Chroma regression tests.
- `--enable-doxygen-doc`                   enable the Doxygen documentation generation (build with `make doxygen-doc`)
+  ``--prefix=path``                           installation prefix for Grid.
+  ``--with-gmp=path``                         look for GMP in the UNIX prefix `<path>`
+ ``--with-mpfr=path``                        look for MPFR in the UNIX prefix `<path>`
+ ``--with-fftw=path``                        look for FFTW in the UNIX prefix `<path>`
+ ``--with-lime=path``                       look for c-lime in the UNIX prefix `<path>`
+ ``--enable-lapack[=path]``                  enable LAPACK support in Lanczos eigensolver. A UNIX prefix containing the library can be specified (optional).
+  --enable-mkl[=path]                     use Intel MKL for FFT (and LAPACK if enabled) routines. A UNIX prefix containing the library can be specified (optional).
+  --enable-simd=code                      setup Grid for the SIMD target `<code>`(default: `GEN`). A list of possible SIMD targets is detailed in a section below.
+  --enable-gen-simd-width=size            select the size (in bytes) of the generic SIMD vector type (default: 32 bytes). E.g. SSE 128 bit corresponds to 16 bytes.
+  --enable-precision=single|double        set the default precision (default: `double`).
+  --enable-comms=mpi|none                 use `<comm>` for message passing (default: `none`).
+  --enable-rng=sitmo|ranlux48|mt19937     choose the RNG (default: `sitmo`).
+  --disable-timers                        disable system dependent high-resolution timers.
+  --enable-chroma                         enable Chroma regression tests.
+  --enable-doxygen-doc                    enable the Doxygen documentation generation (build with `make doxygen-doc`)
 ========================================  ==============================================================================================================================
 
-.. todo:: CD: Somewhere, please provide more explanation of the --enable--gen-simd-width value
-.. todo:: CD: Are there really two --enable-precision lines?
-
 
 Possible communication interfaces
 ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
 
-The following options can be use with the `--enable-comms=` option to target different communication interfaces:
+The following options can be use with the `-\\-enable-comms=` option to target different communication interfaces:
 
 ===============    ==========================================================================================
  <comm>            Description            
@@ -264,14 +259,11 @@ The following options can be use with the `--enable-comms=` option to target dif
 
 For the MPI interfaces the optional `-auto` suffix instructs the `configure` scripts to determine all the necessary compilation and linking flags. This is done by extracting the informations from the MPI wrapper specified in the environment variable `MPICXX` (if not specified `configure` will scan though a list of default names). The `-auto` suffix is not supported by the Cray environment wrapper scripts. Use the standard wrappers ( `CXX=CC` ) set up by Cray `PrgEnv` modules instead.  
 
-.. todo:: CD: Later below, there is an "mpi3". Should it be listed and
-          explained here?  Is there an "mpit"?
-
 
 Possible SIMD types
 ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
 
-The following options can be use with the `--enable-simd=` option to target different SIMD instruction sets:
+The following options can be use with the `-\\-enable-simd=` option to target different SIMD instruction sets:
 
 ============    =====================================================================================================================
   `<simd>`      Description                             
@@ -304,7 +296,7 @@ Notes
   versions of Grid when the AVX512 support in the compiler is more advanced.
 * For BG/Q only [bgclang](http://trac.alcf.anl.gov/projects/llvm-bgq) is supported. We do not presently plan to support more compilers for this platform.
 * BG/Q performances are currently rather poor. This is being investigated for future versions.
-* The vector size for the `GEN` target can be specified with the `configure` script option `--enable-gen-simd-width`.
+* The vector size for the `GEN` target can be specified with the `configure` script option `-\\-enable-gen-simd-width`.
 
 Build setup for Intel Knights Landing platform
 ---------------------------------------------------------------------------------------
@@ -336,12 +328,12 @@ where `<path>` is the UNIX prefix where GMP and MPFR are installed.
 
 Knight's Landing with Intel Omnipath adapters with two adapters per node 
 presently performs better with use of more than one rank per node, using shared memory 
-for interior communication. This is the mpi3 communications implementation. 
+for interior communication.
 We recommend four ranks per node for best performance, but optimum is local volume dependent. ::
 
    ../configure --enable-precision=double\
              --enable-simd=KNL        \
-             --enable-comms=mpi3-auto \
+             --enable-comms=mpi-auto \
              --enable-mkl             \
              CC=icpc MPICXX=mpiicpc 
 
@@ -352,7 +344,7 @@ The following configuration is recommended for the Intel Haswell platform::
 
   ../configure --enable-precision=double\
              --enable-simd=AVX2       \
-             --enable-comms=mpi3-auto \
+             --enable-comms=mpi-auto \
              --enable-mkl             \
              CXX=icpc MPICXX=mpiicpc
 
@@ -369,7 +361,7 @@ If you are working on a Cray machine that does not use the `mpiicpc` wrapper, pl
 
   ../configure --enable-precision=double\
              --enable-simd=AVX2       \
-             --enable-comms=mpi3      \
+             --enable-comms=mpi      \
              --enable-mkl             \
              CXX=CC CC=cc
 
@@ -388,7 +380,7 @@ The following configuration is recommended for the Intel Skylake platform::
 
   ../configure --enable-precision=double\
              --enable-simd=AVX512     \
-             --enable-comms=mpi3      \
+             --enable-comms=mpi      \
              --enable-mkl             \
              CXX=mpiicpc
 
@@ -405,7 +397,7 @@ If you are working on a Cray machine that does not use the `mpiicpc` wrapper, pl
 
   ../configure --enable-precision=double\
              --enable-simd=AVX512     \
-             --enable-comms=mpi3      \
+             --enable-comms=mpi      \
              --enable-mkl             \
              CXX=CC CC=cc
 
@@ -431,7 +423,7 @@ The following configuration is recommended for the AMD EPYC platform::
 
   ../configure --enable-precision=double\
              --enable-simd=AVX2       \
-             --enable-comms=mpi3 \
+             --enable-comms=mpi \
              CXX=mpicxx 
 
 If gmp and mpfr are NOT in standard places (/usr/) these flags may be needed::
@@ -444,12 +436,13 @@ where `<path>` is the UNIX prefix where GMP and MPFR are installed.
 Using MPICH and g++ v4.9.2, best performance can be obtained using explicit GOMP_CPU_AFFINITY flags for each MPI rank.
 This can be done by invoking MPI on a wrapper script omp_bind.sh to handle this. 
 
-It is recommended to run 8 MPI ranks on a single dual socket AMD EPYC, with 8 threads per rank using MPI3 and
-shared memory to communicate within this node::
+It is recommended to run 8 MPI ranks on a single dual socket AMD EPYC, with 8 threads per rank using MPI and
+shared memory to communicate within this 
+
+.. describe::  command line
 
   mpirun -np 8 ./omp_bind.sh ./Benchmark_dwf --mpi 2.2.2.1 --dslash-unroll --threads 8 --grid 16.16.16.16 --cacheblocking 4.4.4.4 
 
-.. todo:: CD: Maybe need bash highlighting, not cpp below - Generates warning
 	  
 Where omp_bind.sh does the following::
 
@@ -562,9 +555,8 @@ scalar matrix and vector classes::
 
     template<class vobj      > class iScalar { private: vobj _internal ; } 
     template<class vobj,int N> class iVector { private: vobj _internal[N] ; } 
-    template<class vobj,int N> class iMatrix { private: vobj _internal[N] ; }
+    template<class vobj,int N> class iMatrix { private: vobj _internal[N][N] ; }
 
-.. todo:: CD: Why is iMatrix only [N] and not [N][N]?
 
 These are template classes and can be passed a fundamental scalar or vector type, or
 nested to form arbitrarily complicated tensor products of indices. All mathematical expressions
@@ -586,10 +578,27 @@ For Lattice field theory, we define types according to the following tensor
 product structure ordering. The suffix "D" indicates either double types, and
 replacing with "F" gives the corresponding single precision type.
 
-.. todo:: CD: The test cases have R, which takes the compiled default.
-	  Do we want to expose that and say something here?
-.. todo:: CD: What is "Lattice" here?  This section is about "iXXX" types.
-	  Maybe say a few more introductory words.
+The test cases have R, which takes the compiled default precision (either F or D).
+This is for convenience only and may be deprecated in future forcing code external
+to Grid to choose the specific word size.
+
+Type definitions are provided in qcd/QCD.h to give the internal index structures
+of QCD codes. For example::
+
+    template<typename vtype> using iSinglet                   = iScalar<iScalar<iScalar<vtype> > >;
+    template<typename vtype> using iSpinMatrix                = iScalar<iMatrix<iScalar<vtype>, Ns> >;
+    template<typename vtype> using iColourMatrix              = iScalar<iScalar<iMatrix<vtype, Nc> > > ;
+    template<typename vtype> using iSpinColourMatrix          = iScalar<iMatrix<iMatrix<vtype, Nc>, Ns> >;
+    template<typename vtype> using iLorentzColourMatrix       = iVector<iScalar<iMatrix<vtype, Nc> >, Nd > ;
+    template<typename vtype> using iDoubleStoredColourMatrix  = iVector<iScalar<iMatrix<vtype, Nc> >, Nds > ;
+    template<typename vtype> using iSpinVector                = iScalar<iVector<iScalar<vtype>, Ns> >;
+    template<typename vtype> using iColourVector              = iScalar<iScalar<iVector<vtype, Nc> > >;
+    template<typename vtype> using iSpinColourVector          = iScalar<iVector<iVector<vtype, Nc>, Ns> >;
+    template<typename vtype> using iHalfSpinVector            = iScalar<iVector<iScalar<vtype>, Nhs> >;
+    template<typename vtype> using iHalfSpinColourVector      = iScalar<iVector<iVector<vtype, Nc>, Nhs> >;
+
+
+Giving the type table:
 
 =======   =======    ======  ======  ===========  =======================
 Lattice   Lorentz    Spin    Colour  scalar_type   Field
@@ -605,16 +614,22 @@ Scalar    Scalar     Matrix  Matrix  ComplexD      SpinColourMatrixD
 
 The types are implemented via a recursive tensor nesting system.
 
-.. todo:: CD: What choices are available for vtype?  Is the "v" for "variable"?
-.. todo:: CD: Should we say iLorentzColourMatrix is a Grid-provided typename?
-	  Is there a list of similar convenience types?
-	  
-**Example** we declare::
+**Example** 
 
-  template<typename vtype> 
-  using iLorentzColourMatrix = iVector<iScalar<iMatrix<vtype, Nc> >, Nd > ;
+Here, the prefix "i" indicates for internal use, preserving the template nature of the class. 
+Final types are declared with vtype selected to be both scalar and vector, appropriate to a
+single datum, or stored in a partial SoA transformed lattice object::
+
+
+    // LorentzColour
+    typedef iLorentzColourMatrix<Complex  > LorentzColourMatrix;
+    typedef iLorentzColourMatrix<ComplexF > LorentzColourMatrixF;
+    typedef iLorentzColourMatrix<ComplexD > LorentzColourMatrixD;
+
+    typedef iLorentzColourMatrix<vComplex > vLorentzColourMatrix;
+    typedef iLorentzColourMatrix<vComplexF> vLorentzColourMatrixF;
+    typedef iLorentzColourMatrix<vComplexD> vLorentzColourMatrixD;
 
-  typedef iLorentzColourMatrix<ComplexD > LorentzColourMatrixD;
 
 Arbitrarily deep tensor nests may be formed. Grid uses a positional and numerical rule to associate indices for contraction
 in the Einstein summation sense.
@@ -697,12 +712,6 @@ General code can access any specific index by number with a peek/poke semantic::
    // poke index number "Level" of a matrix index
    template<int Level,class vtype>  
    void pokeIndex (vtype &pokeme,arg,int i,int j) 
-
-.. todo:: CD: The are the choices for "vtype"?
-	  
-.. todo:: CD: The example below does not use the template pair shown
-	  above.  It is good, but perhaps, also show the pair form of
-	  the same example if there is one.
    
 **Example**::
 
@@ -804,9 +813,7 @@ The traceless anti-Hermitian part is taken with::
     template<class vtype,int N> iMatrix<vtype,N> 
     Ta(const iMatrix<vtype,N> &arg)
 
-Reunitarisation (or reorthogonalisation) is enabled by::
-
-.. todo:: CD: U(3) or SU(3) projection?
+SU(N) Reunitarisation (or reorthogonalisation) is enabled by::
   
     template<class vtype,int N> iMatrix<vtype,N> 
     ProjectOnGroup(const iMatrix<vtype,N> &arg)
@@ -977,18 +984,16 @@ Internally, Grid defines a portable abstraction SIMD vectorisation, via the foll
 
 * vComplexD
 
-.. todo:: CD: Maybe say something about how SIMD vectorization works
-	  here.  Does a vRealF collect values for several SIMD lanes
-	  at once?
-  
 These have the usual range of arithmetic operators and functions acting upon them. They do not form
 part of the API, but are mentioned to (partially) explain the need for controlling the
-layout transformation in lattice objects.
+layout transformation in lattice objects. They contain a number consecutive elements of the appropriate
+Real/Complex type, where number is architecture depemendent. The number may be queried at runtime using::
 
+	     vComplexF::Nsimd();
+
+The layout transformations in indexing functions in the Grid objects as completely parameterised by this Nsimd().
 They are documented further in the Internals chapter.
 
-.. todo:: CD: Might they be needed for interfacing with external code?
-
 Coordinates
 ------------
 
@@ -1016,15 +1021,26 @@ This enables the coordinates to be manipulated without heap allocation or thread
 and avoids introducing STL functions into GPU code, but does so at the expense of introducing
 a maximum dimensionality. This limit is easy to change (lib/util/Coordinate.h).
 
-.. todo:: CD: It would be very useful to explain how the communicator
-	  works.  That would include how the processor grid is
-	  organized, how the lattice is subdivided across MPI ranks,
-	  why Grid prefers to renumber the MPI ranks, what coordinates
-	  go with what ranks?  Ordinarily, this is hidden from the
-	  user, but it is important for interfacing with external
-	  code. Some methods and members of the communicator class
-	  need to be "exposed" to make that possible. This might be a
-	  good place for such a subsection?
+**Internals**
+
+The processor Grid is defined by data values in the Communicator object::
+
+  int              _Nprocessors;     // How many in all
+  std::vector<int> _processors;      // Which dimensions get relayed out over processors lanes.
+  int              _processor;       // linear processor rank
+  std::vector<int> _processor_coor;  // linear processor coordinate
+  unsigned long    _ndimension;
+  Grid_MPI_Comm    communicator;
+
+The final of these is potentially an MPI Cartesian communicator, mapping some total number of processors
+to an N-dimensional coordinate system. This is used by Grid to geometrically decompose the subvolumes of a
+lattice field across processing elements. Grid is aware of multiple ranks per node and attempts to ensure
+that the geometrical decomposition keeps as many neigbours as possible on the same node. This is done
+by reordering the ranks in the constructor of a Communicator object once the topology requested has
+been indicated, via an internal call to the method OptimalCommunicator(). The reordering is chosen
+by Grid to trick MPI, which makes a simple lexicographic assignment of ranks to coordinate, to ensure
+that the simple lexicographic assignment of the reordered ranks is the optimal choice. MPI does not do this
+by default and substantial improvements arise from this design choice.
 
 Grids
 -------------
@@ -1037,9 +1053,6 @@ are decomposed across MPI tasks and SIMD lanes of the vector length.
 We use a partial vectorisation transformation, must select
 which space-time dimensions participate in SIMD vectorisation.
 The Lattice containers are defined to have opaque internal layout, hiding this layout transformation.
-
-.. todo:: CD: The constructor simply defines the layout parameters.
-          It doesn't allocate space, right?  Might be good to say.
 	  
 We define GridCartesian and GridRedBlackCartesian which both inherit from GridBase::
 
@@ -1071,10 +1084,16 @@ The Grid object provides much `internal` functionality to map a lattice site to
 a node and lexicographic index. These are not needed by code interfacing
 to the data parallel layer.
 
-.. todo:: CD: What is specified with "split_rank" above?
-.. todo:: CD: Maybe list the exposed Grid options within the "SpaceTimeGrid"
-          class.
+When the requested processor grid is smaller than the parent's processor grid, multiple copies of the
+same geometry communicator are created, indexed by spli_rank. This can be convenient to split
+a job into multiple independent sub jobs (a long present feature of MPI). It can be particularly
+effective in valence analysis, where for example, many inversions are performed on a single configuration.
+These can be made on smaller communicators in parallel and communications overheads minimised. Routines::
 
+      Grid_split
+      Grid_unsplit
+
+are provided to communicate fields between different communicators (e.g. between inversion and contraction phases).
 
 **Example** (tests/solver/Test_split_grid.cc)::
 
@@ -1110,6 +1129,12 @@ to the data parallel layer.
   GridRedBlackCartesian * SrbGrid  = SpaceTimeGrid::makeFourDimRedBlackGrid(SGrid);
   GridRedBlackCartesian * SFrbGrid = SpaceTimeGrid::makeFiveDimRedBlackGrid(Ls,SGrid);
 
+  ///////////////////////////////////////////////////////////////
+  // split the source out using MPI instead of I/O
+  ///////////////////////////////////////////////////////////////
+  Grid_split  (Umu,s_Umu);
+  Grid_split  (src,s_src);
+
 
 Lattice containers
 -----------------------------------------
@@ -1137,6 +1162,7 @@ The full range of QCD relevant lattice objects is given below.
 =======  =======    ======  ======  ===========  =============================   =====================
 Lattice  Lorentz    Spin    Colour  scalar_type   Field                            Synonym
 =======  =======    ======  ======  ===========  =============================   =====================
+Vector   Scalar     Scalar  Scalar  Integer       LatticeInteger                 N/A
 Vector   Scalar     Scalar  Scalar  RealD         LatticeRealD                   N/A
 Vector   Scalar     Scalar  Scalar  ComplexD      LatticeComplexD                N/A
 Vector   Scalar     Scalar  Matrix  ComplexD      LatticeColourMatrixD           LatticeGaugeLink
@@ -1148,10 +1174,7 @@ Vector   Scalar     Matrix  Matrix  ComplexD      LatticeSpinColourMatrixD
 
 Additional single precison variants are defined with the suffix "F".
 Other lattice objects can be defined using the sort of typedef's shown above if needed.
-
-.. todo:: CD: Are there others to expose, such as LatticeInteger,
-          LatticeFermionD, LatticeGaugeFieldD, LatticePropagatorD,
-          etc?  If so, could this list be made complete?
+LatticeInteger is typically only used in the form of predicate fields for where statements.
 
 Opaque containers
 ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
@@ -1167,7 +1190,8 @@ are provided (lib/lattice/Lattice_transfer.h)::
     unvectorizeToLexOrdArray(std::vector<sobj> &out, const Lattice<vobj> &in);
     vectorizeFromLexOrdArray(std::vector<sobj> &in , Lattice<vobj> &out);
 
-.. todo:: CD: Explain the choices for sobj and vobj.
+sobj and vobj should be a matching pair of scalar and vector objects of the same internal structure.
+The compiler will let you know with a long and verbose complaint if they are not.
 	  
 The Lexicographic order of data in the external vector fields is defined by (lib/util/Lexicographic.h)::
 
@@ -1203,9 +1227,6 @@ peeking and poking specific indices in a data parallel manner::
 
     template<int Index,class vobj>   // Matrix poke
     void PokeIndex(Lattice<vobj> &lhs,const Lattice<> & rhs,int i,int j)
-
-.. todo:: CD: Maybe mention that these match operations with scalar
-          objects, as listed above under "Internal index manipulation."
   
 The inconsistent capitalisation on the letter P is due to an obscure bug in g++ that has not to
 our knowledge been fixed in any version. The bug was reported in 2016.
@@ -1363,7 +1384,7 @@ Logical are defined on LatticeInteger types::
   operator||
 
 
-Ternary operator, logical operatons and where
+Ternary operator, logical operations and where
 ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
 
 Within the data parallel level of the API the only way to perform operations
@@ -1400,9 +1421,12 @@ A usage example is given
 	
 	result = where(mod(coor,block)==(block-1),x,z);
 
-.. todo:: CD: A few words motivating this example?
+This example takes result to be either "x" or "z" in a coordinate dependent way. 
+When third (z) lattice coordinate lies at the boundaries of a block size (periodic arithmetic).
+This example is lifted and paraphrased from code that (data parallel) evaluates matrix elements
+for a coarse representation of the Dirac operator in multigrid.
 	  
-(Other usage cases of LatticeCoordinate include the generation of plane wave momentum phases.)
+Other usage cases of LatticeCoordinate include the generation of plane wave momentum phases.
 
 Site local fused operations
 ------------------------------------------
@@ -1470,7 +1494,16 @@ accelerator_loops
 
 The second parallel primitive is the "accelerator_loop".
 
-.. todo:: CD: What is the difference between these two loops?
+The thread loop runs on host processor cores only. If the enabled architecture is 
+VGPU, if Grid is configured with 
+
+	 --enable-simd=VGPU, 
+
+the acccelerator_loop may run on a GPU if present. On non-accelerated architectures,
+the accelerator_loop will simply run as a an OpenMP thread_loop.
+
+It is planned to support multiple forms of acccelerator in future, including OpenMP 5.0 offload,
+and possibly SyCL based offload.
 
 
 **Example**::
@@ -1574,8 +1607,20 @@ treating the boundary.
 			   Gimpl::CovShiftIdentityBackward(U[nu], nu))));
   }
 
-.. todo:: CD: This example uses Gimpl instead of Impl.  What is the
-          difference, and what are the exposed choices for Impl?
+Currently provided predefined implementations are (qcd/action/gauge/GaugeImplementations.h)::
+
+	  typedef PeriodicGaugeImpl<GimplTypesR> PeriodicGimplR; // Real.. whichever prec
+	  typedef PeriodicGaugeImpl<GimplTypesF> PeriodicGimplF; // Float
+	  typedef PeriodicGaugeImpl<GimplTypesD> PeriodicGimplD; // Double
+
+	  typedef PeriodicGaugeImpl<GimplAdjointTypesR> PeriodicGimplAdjR; // Real.. whichever prec
+	  typedef PeriodicGaugeImpl<GimplAdjointTypesF> PeriodicGimplAdjF; // Float
+	  typedef PeriodicGaugeImpl<GimplAdjointTypesD> PeriodicGimplAdjD; // Double
+
+	  typedef ConjugateGaugeImpl<GimplTypesR> ConjugateGimplR; // Real.. whichever prec
+	  typedef ConjugateGaugeImpl<GimplTypesF> ConjugateGimplF; // Float
+	  typedef ConjugateGaugeImpl<GimplTypesD> ConjugateGimplD; // Double
+
 
 
 Inter-grid transfer operations
@@ -1982,7 +2027,7 @@ The routines in this section rely on the c-lime library being enabled in the Gri
 (http://usqcd-software.github.io/c-lime/). The configure script searches for `lime`,
 but the location can be indicated with the 
 
-  `--with-lime=prefix` 
+  `-\\-with-lime=prefix` 
 
 flag. 
 
@@ -2129,25 +2174,28 @@ And a derived class adding methods suitable to red black preconditioning::
     virtual  void MooeeInvDag (const Field &in, Field &out)=0;
   };
 
-=============       ==============================================
+A checkerboard is defined as a parity :math:`(x+y+z+t)|2`, and half checker board operations supported
+for red black preconditioning.
+
+
+=============       ====================================================================
 Member                  Description
-=============       ==============================================
-M 
-Mdag
-MdagM
-Mdiag
-Mdir
-Meooe
-Mooee
-MooeInv
-MeooeDag
-MooeeDag
-MooeeInvDag
-=============       ==============================================
+=============       ====================================================================
+M                    Apply matrix
+Mdag                 Apply matrix adjoint
+MdagM                Apply Matrix then adjoin matrix
+Mdiag                Apply site diagonal part of matrix
+Mdir                 Apply terms involving hopping one direction
+Meooe                Apply even/odd matrix. ResultCB determined by InputCB
+Mooee                Apply site diagonal terms to a CB field
+MooeInv              Apply inverse of site diagonal terms to a CB field
+MeooeDag             Apply adjoint of Meooe
+MooeeDag             Apply adjoint of Mooee
+MooeeInvDag          Apply adjoint inverse of Mooee
+=============       ====================================================================
 
 All Fermion operators will derive from this base class.
 
-.. todo:: CD: Descriptions needed.
 
 Linear Operators
 -------------------
@@ -2160,7 +2208,6 @@ between RB and non-RB variants. Sparse matrix is like the fermion action def, an
 the wrappers implement the specialisation of "Op" and "AdjOp" to the cases minimising
 replication of code.
 
-.. todo:: CD: Descriptions needed below.
 
 **Abstract base**::
 
@@ -2177,20 +2224,20 @@ replication of code.
     virtual void HermOp(const Field &in, Field &out)=0;
   };
 
-==============           ==============================================
+==============           ==========================================================================
 Member                       Description
-==============           ==============================================
-OpDiag
-OpDir
-Op
-AdjOp
-HermOpAndNorm
-HermOp
-==============           ==============================================
+==============           ==========================================================================
+OpDiag                    Diagonal term
+OpDir                     Terms involving hopping in one direction
+Op                        Full operator
+AdjOp                     Full operator adjoint
+HermOp                    A hermitian version of operator (possibly squared)
+HermOpAndNorm             A hermitian version of operator (possibly squared) returns norm result
+==============           ==========================================================================
 
 
-	  MdagMLinearOperator
-^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
+MdagMLinearOperator
+^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
 
 This Linear operator takes a SparseMatrix (Fermion operator) and implements the unpreconditioned
 MdagM operator with the above interface::
@@ -2276,13 +2323,12 @@ The meaning of these different operators is
 =======================       ======================================================================================
 Operator                           Description
 =======================       ======================================================================================
-SchurDiagMooeeeOperator
-SchurDiagOneLH
-SchurDiagOneRH
+SchurDiagMooeeeOperator        :math:`M_{oo} + M_{oe} M_ee^{-1} M_{eo}`
+SchurDiagOneLH                 :math:`1 + M_{oo}^{-1}M_{oe} M_ee^{-1} M_{eo}`
+SchurDiagOneRH                 :math:`1 + M_{oe} M_ee^{-1} M_{eo}M_{oo}^{-1}`
 SchurStaggeredOperator
 =======================       ======================================================================================
 
-.. todo:: CD: Descriptions needed.
 	  
 Operator Functions
 ===================
@@ -2332,89 +2378,398 @@ Audit this::
 Algorithms
 =========================================
 
-.. todo:: CD: The whole section needs to be completed, of course
+In this section we describe a number of algorithmic areas present in the core Grid library.
+
+* Approximation: Chebyshev and Rational
+* Krylov solvers: Conjugate Gradient
+* Eigensolver: Chebyshev preconditioned	Lanczos
+* FFT: multidimensional	 FFT of arbitrary lattice fields
 
 Approximation
 --------------
 
+Both Chebyshev and Rational approximation codes are included.
+
+
 Polynomial
 ^^^^^^^^^^^^^
 
 
 A polynomial of an operator with a given set of coefficients can be applied::
 
-  template<class Field>
-  class Polynomial : public OperatorFunction<Field> {
-    Polynomial(std::vector<RealD> &_Coeffs) ;
-  };
-
+     template<class Field>                    
+     class Polynomial : public OperatorFunction<Field> { 
+         Polynomial(std::vector<RealD> &_Coeffs) ;       
+     };
 
 Chebyshev
 ^^^^^^^^^^^
 
+Class::
+
+    template<class Field> class Chebyshev : public OperatorFunction<Field> 
+	
+Defines  constructors::
+
+    Chebyshev(ChebyParams p);
+    Chebyshev(RealD _lo,RealD _hi,int _order, RealD (* func)(RealD) );
+    Chebyshev(RealD _lo,RealD _hi,int _order) ;
+
+and methods::
+
+    RealD approx(RealD x);
+
+    void operator() (LinearOperatorBase<Field> &Linop, const Field &in, Field &out) ;
+
+This will apply the appropriate polynomial of the LinearOperator Linop to the type Field.
+The coefficient for the standard Chebyshev approximation to an arbitrary function, over tha range
+[hi,lo] can be set up with the appropriate constructor call.
+
 Remez
 ^^^^^^^^^^^
 
+We adopt the Remez class written by Kate Clark with minimal modifications for compatibility
+
+Class::
+
+   class AlgRemez
+
+
 Iterative
 ------------
 
+We document a number of iterative algorithms of topical relevance to Lattice Gauge theory.
+These are written for application to arbitrary fields and arbitrary operators using type
+templating, by implementating them as arbitrary OperatorFunctions.
+
 Conjugate Gradient 
 ^^^^^^^^^^^^^^^^^^^
 
+algorithms/iterative/ConjugateGradient.h
+
+Class::
+
+	   template <class Field>  class ConjugateGradient : public OperatorFunction<Field> 
+
+with methods::
+
+	   ConjugateGradient(RealD tol, Integer maxit, bool err_on_no_conv = true);
+
+           void operator()(LinearOperatorBase<Field> &Linop, const Field &src, Field &psi) ;
+
 Multishift Conjugate Gradient 
 ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
 
-MultiRHS Conjugate Gradient 
-^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
+algorithms/iterative/ConjugateGradientMultiShift.h
+
+Class::  template<class Field> class ConjugateGradientMultiShift : public OperatorMultiFunction<Field>, public OperatorFunction<Field>
+
+with methods::
+
+       ConjugateGradient(RealD tol, Integer maxit, bool err_on_no_conv = true);
+
+       void operator()(LinearOperatorBase<Field> &Linop, const Field &src, Field &psi) ;
+
 
 Block Conjugate Gradient 
 ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
 
+algorithms/iterative/BlockConjugateGradient.h
+
+Class::
+
+	 template <class Field> class BlockConjugateGradient : public OperatorFunction<Field> 
+
+Several options are possible. The behaviour is controlled by an enumeration.
+
+Enum:: 
+
+         enum BlockCGtype { BlockCG, BlockCGrQ, CGmultiRHS };
+
+Constructor::
+
+	 BlockConjugateGradient(BlockCGtype cgtype,int _Orthog,RealD tol, Integer maxit, bool err_on_no_conv = true)
+
+With operator::
+
+        void operator()(LinearOperatorBase<Field> &Linop, const Field &Src, Field &Psi) 
+
+
+* CGmultiRHS
+
+
+This applies conjugate gradient to multiple right hand sides concurrently making
+use of a separate Krylov space for each. There is no cross coupling and
+the routine is equivalent to running each of these independently one after the other
+in term of iteration count.
+
+*  BlockCGrQ
+
+This applies block conjugate gradient to multiple right hand sides concurrently making
+use of a shared Krylov space for each. The cross coupling may in some cases lead to
+acceleration of convergence and reduced matrix multiplies for multiple solves.
+
 Mixed precision Conjugate Gradient 
 ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
 
-Conjugate Gradient Reliable Update
-^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
+Class::
+
+    template<class FieldD,class FieldF>  class MixedPrecisionConjugateGradient : public LinearFunction<FieldD> 
+
+
+Applies an inner outer mixed precision Conjagate Gradient. It has constructor::
+
+    MixedPrecisionConjugateGradient(RealD tol, Integer maxinnerit, Integer maxouterit, GridBase* _sp_grid, LinearOperatorBase<FieldF> &_Linop_f, LinearOperatorBase<FieldD> &_Linop_d) :
+
+
+Where the linear operators are for the single precision and double precision operators respectively.
+The operator to apply the inversion is::
+
+    void operator() (const FieldD &src_d_in, FieldD &sol_d){
 
-Adef Generic
-^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
 
-Preconditioned Conjugate Gradient
-^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
 
 Preconditioned Conjugate Residual
 ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
 
-Preconditioned Generalised Conjugate Residual
-^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
+Class::
+
+    template<class Field> class PrecConjugateResidual : public OperatorFunction<Field> 
+
+Constructor::
+
+    PrecConjugateResidual(RealD tol,Integer maxit,LinearFunction<Field> &Prec)
+
+
+Solve method::
+
+    void operator() (LinearOperatorBase<Field> &Linop,const Field &src, Field &psi)
+
 
 Implicitly restarted Lanczos
 ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
 
-Helpers and wrappers
-----------------------
+Class::
 
-Normal Equations
+      template<class Field> class ImplicitlyRestartedLanczos 
+
+Solve method::
+
+      void calc(std::vector<RealD>& eval, std::vector<Field>& evec,  const Field& src, int& Nconv, bool reverse=false)
+
+
+Linear operators
 ^^^^^^^^^^^^^^^^^
 
+By sharing the class for Sparse Matrix across multiple operator wrappers, we can share code
+between RB and non-RB variants. Sparse matrix is an abstract fermion action def, and then
+the LinearOperator wrappers implement the specialisation of "Op" and "AdjOp" to the cases minimising
+replication of code.
+
+algorithms/LinearOperator.h
+
+Class::
+
+    template<class Field> class LinearOperatorBase {
+    public:
+
+      // Support for coarsening to a multigrid
+      virtual void OpDiag (const Field &in, Field &out) = 0; // Abstract base
+      virtual void OpDir  (const Field &in, Field &out,int dir,int disp) = 0; // Abstract base
+
+      virtual void Op     (const Field &in, Field &out) = 0; // Abstract base
+      virtual void AdjOp  (const Field &in, Field &out) = 0; // Abstract base
+      virtual void HermOpAndNorm(const Field &in, Field &out,RealD &n1,RealD &n2) = 0;
+      virtual void HermOp(const Field &in, Field &out)=0;
+    };
+
+The specific operators are:
+
+    template<class Matrix,class Field>  class MdagMLinearOperator : public LinearOperatorBase<Field> 
+    template<class Matrix,class Field>  class ShiftedMdagMLinearOperator : public LinearOperatorBase<Field> 
+    template<class Matrix,class Field>  class HermitianLinearOperator : public LinearOperatorBase<Field> 
+    template<class Field>               class SchurOperatorBase :  public LinearOperatorBase<Field> 
+    template<class Matrix,class Field>  class SchurDiagOneRH :  public SchurOperatorBase<Field> 
+    template<class Matrix,class Field>  class SchurDiagOneLH :  public SchurOperatorBase<Field> 
+    template<class Matrix,class Field>  class SchurStaggeredOperator :  public SchurOperatorBase<Field> 
+
 Schur decomposition
 ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
 
+=======================       ======================================================================================
+Operator                           Description
+=======================       ======================================================================================
+SchurDiagMooeeeOperator        :math:`M_{oo} + M_{oe} M_ee^{-1} M_{eo}`
+SchurDiagOneLH                 :math:`1 + M_{oo}^{-1}M_{oe} M_ee^{-1} M_{eo}`
+SchurDiagOneRH                 :math:`1 + M_{oe} M_ee^{-1} M_{eo}M_{oo}^{-1}`
+SchurStaggeredOperator         :math:`m^2 - M_{oe} M_{eo}`
+=======================       ======================================================================================
+
+Associated with these operators are convenience wrappers for Schur 
+decomposed solution of the full system are provided (red-black preconditioning, algorithms/iterative/SchurRedBlack.h):
+
+Class:: 
+
+	  template<class Field> class SchurRedBlackStaggeredSolve 
+	  template<class Field> class SchurRedBlackDiagMooeeSolve
+	  template<class Field> class SchurRedBlackDiagOneLHSolve
+	  template<class Field> class SchurRedBlackDiagOneRHSolve
+
+Constructors::
+
+	  SchurRedBlackStaggeredSolve(OperatorFunction<Field> &HermitianRBSolver);
+          SchurRedBlackDiagMooeeSolve(OperatorFunction<Field> &HermitianRBSolver,int cb=0);
+          SchurRedBlackDiagOneLHSolve(OperatorFunction<Field> &HermitianRBSolver,int cb=0);
+          SchurRedBlackDiagOneRHSolve(OperatorFunction<Field> &HermitianRBSolver,int cb=0);
+
+The cb parameter specifies which checkerboard the SchurDecomposition factorises around, and the
+HermitianRBSolver parameter is an algorithm class, such as conjugate gradients, for solving the
+system of equations on a single checkerboard.
+
+
+All have the operator method, returning both checkerboard solutions::
+
+        template<class Matrix> void operator() (Matrix & _Matrix,const Field &in, Field &out)
+
+In order to allow for deflation of the preconditioned system, and external guess constructor is possible::
+
+	template<class Matrix, class Guesser> void operator() (Matrix & _Matrix,const Field &in, Field &out,Guesser &guess){
+
 Lattice Gauge theory utilities
 =========================================
 
-.. todo:: CD: The whole section needs to be completed, of course
-
-.. todo:: CD: Gamma matrices?
-	  Spin projection, reconstruction?
-	  Lie Algebra?
-
-Types
---------------
 
 Spin
 --------
 
+See, for example, tests/core/Test_gamma.cc for a complete self test of the 
+Grid Dirac algebra, spin projectors, and Gamma multiplication table.
+
+The spin basis is:
+
+* :math:`\gamma_x` 
+==== == == ==
+ ( 0  0  0  i)
+ ( 0  0  i  0)
+ ( 0 -i  0  0)
+ (-i  0  0  0)
+==== == == ==
+ 
+* :math:`\gamma_y` 
+==== == == ==
+ ( 0  0  0 -1)
+ ( 0  0  1  0)
+ ( 0  1  0  0)
+ (-1  0  0  0)
+==== == == ==
+ 
+* :math:`\gamma_z` 
+==== == == ==
+ ( 0  0  i  0)
+ ( 0  0  0 -i)
+ (-i  0  0  0)
+ ( 0  i  0  0)
+==== == == ==
+
+* :math:`\gamma_t` 
+==== == == ==
+ ( 0  0  1  0)
+ ( 0  0  0  1)
+ ( 1  0  0  0)
+ ( 0  1  0  0)
+==== == == ==
+
+These can be accessed via a strongly typed enumeration to avoid multiplication by zeros.
+The values are considered opaque, and symbolic names must be used.
+These are signed (prefixes like MinusIdentity also work)::
+
+      Gamma::Algebra::Identity
+      Gamma::Algebra::Gamma5
+      Gamma::Algebra::GammaT
+      Gamma::Algebra::GammaTGamma5
+      Gamma::Algebra::GammaX
+      Gamma::Algebra::GammaXGamma5
+      Gamma::Algebra::GammaY
+      Gamma::Algebra::GammaYGamma5
+      Gamma::Algebra::GammaZ
+      Gamma::Algebra::GammaZGamma5
+      Gamma::Algebra::SigmaXT
+      Gamma::Algebra::SigmaXZ
+      Gamma::Algebra::SigmaXY
+      Gamma::Algebra::SigmaYT
+      Gamma::Algebra::SigmaYZ
+      Gamma::Algebra::SigmaZT
+
+** Example ** 
+
+They can be used, for example (benchmarks/Benchmark_wilson.cc)::
+
+  Gamma::Algebra Gmu [] = {
+    Gamma::Algebra::GammaX,
+    Gamma::Algebra::GammaY,
+    Gamma::Algebra::GammaZ,
+    Gamma::Algebra::GammaT
+  };
+
+  { // Naive wilson implementation
+    ref = zero;
+    for(int mu=0;mu<Nd;mu++){
+
+      tmp = U[mu]*Cshift(src,mu,1);
+      for(int i=0;i<ref._odata.size();i++){
+	ref._odata[i]+= tmp._odata[i] - Gamma(Gmu[mu])*tmp._odata[i]; ;
+      }
+
+      tmp =adj(U[mu])*src;
+      tmp =Cshift(tmp,mu,-1);
+      for(int i=0;i<ref._odata.size();i++){
+	ref._odata[i]+= tmp._odata[i] + Gamma(Gmu[mu])*tmp._odata[i]; ;
+      }
+    }
+  }
+  ref = -0.5*ref;
+  RealD mass=0.1;
+
+Two spin projection is also possible on non-lattice fields, and used to build high performance routines
+such as the Wilson kernel::
+
+  template<class vtype> strong_inline void spProjXp (iVector<vtype,Nhs> &hspin,const iVector<vtype,Ns> &fspin)
+  template<class vtype> strong_inline void spProjYp (iVector<vtype,Nhs> &hspin,const iVector<vtype,Ns> &fspin)
+  template<class vtype> strong_inline void spProjZp (iVector<vtype,Nhs> &hspin,const iVector<vtype,Ns> &fspin)
+  template<class vtype> strong_inline void spProjTp (iVector<vtype,Nhs> &hspin,const iVector<vtype,Ns> &fspin)
+  template<class vtype> strong_inline void spProj5p (iVector<vtype,Nhs> &hspin,const iVector<vtype,Ns> &fspin)
+  template<class vtype> strong_inline void spProjXm (iVector<vtype,Nhs> &hspin,const iVector<vtype,Ns> &fspin)
+  template<class vtype> strong_inline void spProjYm (iVector<vtype,Nhs> &hspin,const iVector<vtype,Ns> &fspin)
+  template<class vtype> strong_inline void spProjZm (iVector<vtype,Nhs> &hspin,const iVector<vtype,Ns> &fspin)
+  template<class vtype> strong_inline void spProjTm (iVector<vtype,Nhs> &hspin,const iVector<vtype,Ns> &fspin)
+  template<class vtype> strong_inline void spProj5m (iVector<vtype,Nhs> &hspin,const iVector<vtype,Ns> &fspin)
+
+and there are associated reconstruction routines for assembling four spinors from these two spinors::
+
+  template<class vtype> strong_inline void spReconXp (iVector<vtype,Ns> &fspin,const iVector<vtype,Nhs> &hspin)
+  template<class vtype> strong_inline void spReconYp (iVector<vtype,Ns> &fspin,const iVector<vtype,Nhs> &hspin)
+  template<class vtype> strong_inline void spReconZp (iVector<vtype,Ns> &fspin,const iVector<vtype,Nhs> &hspin)
+  template<class vtype> strong_inline void spReconTp (iVector<vtype,Ns> &fspin,const iVector<vtype,Nhs> &hspin)
+  template<class vtype> strong_inline void spRecon5p (iVector<vtype,Ns> &fspin,const iVector<vtype,Nhs> &hspin)
+  template<class vtype> strong_inline void spReconXm (iVector<vtype,Ns> &fspin,const iVector<vtype,Nhs> &hspin)
+  template<class vtype> strong_inline void spReconYm (iVector<vtype,Ns> &fspin,const iVector<vtype,Nhs> &hspin)
+  template<class vtype> strong_inline void spReconZm (iVector<vtype,Ns> &fspin,const iVector<vtype,Nhs> &hspin)
+  template<class vtype> strong_inline void spReconTm (iVector<vtype,Ns> &fspin,const iVector<vtype,Nhs> &hspin)
+  template<class vtype> strong_inline void spRecon5m (iVector<vtype,Ns> &fspin,const iVector<vtype,Nhs> &hspin)
+
+  template<class vtype> strong_inline void accumReconXp (iVector<vtype,Ns> &fspin,const iVector<vtype,Nhs> &hspin)
+  template<class vtype> strong_inline void accumReconYp (iVector<vtype,Ns> &fspin,const iVector<vtype,Nhs> &hspin)
+  template<class vtype> strong_inline void accumReconZp (iVector<vtype,Ns> &fspin,const iVector<vtype,Nhs> &hspin)
+  template<class vtype> strong_inline void accumReconTp (iVector<vtype,Ns> &fspin,const iVector<vtype,Nhs> &hspin)
+  template<class vtype> strong_inline void accumRecon5p (iVector<vtype,Ns> &fspin,const iVector<vtype,Nhs> &hspin)
+  template<class vtype> strong_inline void accumReconXm (iVector<vtype,Ns> &fspin,const iVector<vtype,Nhs> &hspin)
+  template<class vtype> strong_inline void accumReconYm (iVector<vtype,Ns> &fspin,const iVector<vtype,Nhs> &hspin)
+  template<class vtype> strong_inline void accumReconZm (iVector<vtype,Ns> &fspin,const iVector<vtype,Nhs> &hspin)
+  template<class vtype> strong_inline void accumReconTm (iVector<vtype,Ns> &fspin,const iVector<vtype,Nhs> &hspin)
+  template<class vtype> strong_inline void accumRecon5m (iVector<vtype,Ns> &fspin,const iVector<vtype,Nhs> &hspin)
+
+
+
 SU(N)
 --------
 
@@ -2433,6 +2788,8 @@ Lattice actions
 =========================================
 
 .. todo:: CD: The whole section needs to be completed, of course
+
+  WilsonCloverFermionR Dwc(Umu, Grid, RBGrid, mass, csw_r, csw_t, anis, params);
 	  
 Gauge
 --------
@@ -2477,20 +2834,9 @@ Optimised fermion operators
 Optimised communications
 ---------------------------------------------
 
-Interfacing with external software
-========================================
-.. todo:: CD: Such a section should be very useful
 
-.. todo:: CD: The whole section needs to be completed, of course
+.. include:: interfacing.rst
 	  
-MPI initialization and coordination
------------------------------------
-
-Creating Grid fields
---------------------
-
-Mapping fields between Grid and user layouts
---------------------------------------------
 
 .. image:: logo.png
    :width: 200px

From b1c4e9638258d5f45144d7fd364b2daa3173de5a Mon Sep 17 00:00:00 2001
From: Peter Boyle <peterboyle@Peters-MacBook-Pro.local>
Date: Mon, 24 Sep 2018 22:10:30 +0100
Subject: [PATCH 07/39] Updates to actions etc..

---
 Grid/qcd/action/fermion/WilsonFermion.h |   2 +-
 documentation/_build/latex/Grid.pdf     | Bin 534819 -> 563934 bytes
 documentation/interfacing.rst           |  34 +-
 documentation/manual.rst                | 804 ++++++++++++++++++------
 4 files changed, 614 insertions(+), 226 deletions(-)

diff --git a/Grid/qcd/action/fermion/WilsonFermion.h b/Grid/qcd/action/fermion/WilsonFermion.h
index b7afc43a..8bfe6c1a 100644
--- a/Grid/qcd/action/fermion/WilsonFermion.h
+++ b/Grid/qcd/action/fermion/WilsonFermion.h
@@ -141,7 +141,7 @@ class WilsonFermion : public WilsonKernels<Impl>, public WilsonFermionStatic {
                 GridRedBlackCartesian &Hgrid, RealD _mass, 
                 const ImplParams &p = ImplParams(), 
                 const WilsonAnisotropyCoefficients &anis = WilsonAnisotropyCoefficients() );
-
+  
   // DoubleStore impl dependent
   void ImportGauge(const GaugeField &_Umu);
 
diff --git a/documentation/_build/latex/Grid.pdf b/documentation/_build/latex/Grid.pdf
index 8b9af1861b7d8cc94f24b407b8eca1efa3ed611f..17cdf6c236f1ea05b1dad3f680c8a1b49a04dd8f 100644
GIT binary patch
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z7F6SFyH_GaBjBI|rwZAE)}^iH44{Zv+g_7zw*b$i8Po-%r+K0dYlzOa0**-akX__S
zi>I;M2oizr(=luuw#_pRbVT#tbu;QG{<4f(nKgrY;Q4e9!DXB@b{aQd%Dd&k4t<5x
zG$#|VG!299;O$hI%0scys2Uqzi)R#wed&JSP8M`e|C_uZ{Lj$Q#0JLI&Dh1w%f;LR
ThMkp#gM$NxoLpQ{0_Oh!LJzoM

diff --git a/documentation/interfacing.rst b/documentation/interfacing.rst
index 3fd0c8a3..5eddf059 100644
--- a/documentation/interfacing.rst
+++ b/documentation/interfacing.rst
@@ -10,7 +10,7 @@ examples.
 
 	  
 MPI initialization
-------------------
+--------------------
 
 Grid supports threaded MPI sends and receives and, if running with
 more than one thread, requires the MPI_THREAD_MULTIPLE mode of message
@@ -21,7 +21,7 @@ appropriate initialization call is::
   assert(MPI_THREAD_MULTIPLE == provided);
 
 Grid Initialization
--------------------
+---------------------
 
 Grid itself is initialized with a call::
 
@@ -38,12 +38,14 @@ The following Grid procedures are useful for verifying that Grid is
 properly initialized.
 
 =============================================================   ===========================================================================================================
-  Grid procedure                                                returns 
+  Grid procedure                                                  returns 
 =============================================================   ===========================================================================================================
-  std::vector<int> GridDefaultLatt();                           lattice size
-  std::vector<int> GridDefaultSimd(int Nd,vComplex::Nsimd());   SIMD layout
-  std::vector<int> GridDefaultMpi();                            MPI layout
-  int Grid::GridThread::GetThreads();                           number of threads
+  std::vector<int> GridDefaultLatt();                            lattice size
+  std::vector<int> GridDefaultSimd(int Nd,vComplex::Nsimd());    SIMD layout
+  std::vector<int> GridDefaultMpi();                             MPI layout
+  int Grid::GridThread::GetThreads();                            number of threads
+=============================================================   ===========================================================================================================
+
 
 MPI coordination
 ----------------
@@ -96,7 +98,7 @@ returns a rank that agrees with Grid's `peRank`.
 
   
 Mapping fields between Grid and user layouts
--------------------------------------------
+---------------------------------------------
 
 In order to map data between layouts, it is important to know
 how the lattice sites are distributed across the processor grid.  A
@@ -177,15 +179,15 @@ Grid 5D fermion field `cv5`.
 
 **Example**::
 
-  GridCartesian * UGrid = SpaceTimeGrid::makeFourDimGrid(GridDefaultLatt();
-  GridRedBlackCartesian * FrbGrid = SpaceTimeGrid::makeFiveDimRedBlackGrid(Ls,UGrid)  typename ImprovedStaggeredFermion5D::FermionField  cv5(FrbGrid);
+    GridCartesian * UGrid = SpaceTimeGrid::makeFourDimGrid(GridDefaultLatt();
+    GridRedBlackCartesian * FrbGrid = SpaceTimeGrid::makeFiveDimRedBlackGrid(Ls,UGrid)  typename ImprovedStaggeredFermion5D::FermionField  cv5(FrbGrid);
 
-  std::vector<int> r(4);
-  indexToCoords(idx,r);
-  std::vector<int> r5(1,0);
-  for( int d = 0; d < 4; d++ ) r5.push_back(r[d]);
+    std::vector<int> r(4);
+    indexToCoords(idx,r);
+    std::vector<int> r5(1,0);
+    for( int d = 0; d < 4; d++ ) r5.push_back(r[d]);
 
-  for( int j = 0; j < Ls; j++ ){
+    for( int j = 0; j < Ls; j++ ){
       r5[0] = j;
       ColourVector cVec;
       for(int col=0; col<Nc; col++){
@@ -193,5 +195,5 @@ Grid 5D fermion field `cv5`.
 	      Complex(src[j][idx].c[col].real, src[j][idx].c[col].imag);
       }
       pokeLocalSite(cVec, *(out->cv), r5);
-  }
+    }
 
diff --git a/documentation/manual.rst b/documentation/manual.rst
index 7d8765a8..8e0e79d7 100644
--- a/documentation/manual.rst
+++ b/documentation/manual.rst
@@ -69,7 +69,7 @@ a programme is simply written as a series of statements, addressing entire latti
 
 Implementation details may be provided to explain how the code works, but are not strictly part of the API.
 
-**Example** 
+**Example**
 
    For example, as an implementation detail, in a single programme multiple data (SPMD) message passing supercomputer the main programme is trivially replicated on each computing node. The data parallel operations are called *collectively* by all nodes. Any scalar values returned by the various reduction routines are the same on each node, resulting in (for example) the same decision being made by all nodes to terminate an iterative solver on the same iteration. 
 
@@ -90,7 +90,8 @@ or any codes directly interacting with the
 
 * Stencil 
 
-will make use of facilities provided by to assist the creation of high performance code. The internal data layout complexities
+will make use of facilities provided by to assist the creation of high performance code. 
+The internal data layout complexities
 will be exposed to some degree and the interfaces are subject to change without notice as HPC architectures change.
 
 Since some of the internal implementation details are needed to explain the design strategy of grid these will be 
@@ -585,18 +586,18 @@ to Grid to choose the specific word size.
 Type definitions are provided in qcd/QCD.h to give the internal index structures
 of QCD codes. For example::
 
-    template<typename vtype> using iSinglet                   = iScalar<iScalar<iScalar<vtype> > >;
-    template<typename vtype> using iSpinMatrix                = iScalar<iMatrix<iScalar<vtype>, Ns> >;
-    template<typename vtype> using iColourMatrix              = iScalar<iScalar<iMatrix<vtype, Nc> > > ;
-    template<typename vtype> using iSpinColourMatrix          = iScalar<iMatrix<iMatrix<vtype, Nc>, Ns> >;
-    template<typename vtype> using iLorentzColourMatrix       = iVector<iScalar<iMatrix<vtype, Nc> >, Nd > ;
-    template<typename vtype> using iDoubleStoredColourMatrix  = iVector<iScalar<iMatrix<vtype, Nc> >, Nds > ;
-    template<typename vtype> using iSpinVector                = iScalar<iVector<iScalar<vtype>, Ns> >;
-    template<typename vtype> using iColourVector              = iScalar<iScalar<iVector<vtype, Nc> > >;
-    template<typename vtype> using iSpinColourVector          = iScalar<iVector<iVector<vtype, Nc>, Ns> >;
-    template<typename vtype> using iHalfSpinVector            = iScalar<iVector<iScalar<vtype>, Nhs> >;
-    template<typename vtype> using iHalfSpinColourVector      = iScalar<iVector<iVector<vtype, Nc>, Nhs> >;
-
+    template<typename vtype> 
+    using iSinglet                   = iScalar<iScalar<iScalar<vtype> > >;
+    using iSpinMatrix                = iScalar<iMatrix<iScalar<vtype>, Ns> >;
+    using iColourMatrix              = iScalar<iScalar<iMatrix<vtype, Nc> > > ;
+    using iSpinColourMatrix          = iScalar<iMatrix<iMatrix<vtype, Nc>, Ns> >;
+    using iLorentzColourMatrix       = iVector<iScalar<iMatrix<vtype, Nc> >, Nd > ;
+    using iDoubleStoredColourMatrix  = iVector<iScalar<iMatrix<vtype, Nc> >, Nds > ;
+    using iSpinVector                = iScalar<iVector<iScalar<vtype>, Ns> >;
+    using iColourVector              = iScalar<iScalar<iVector<vtype, Nc> > >;
+    using iSpinColourVector          = iScalar<iVector<iVector<vtype, Nc>, Ns> >;
+    using iHalfSpinVector            = iScalar<iVector<iScalar<vtype>, Nhs> >;
+    using iHalfSpinColourVector      = iScalar<iVector<iVector<vtype, Nc>, Nhs> >;
 
 Giving the type table:
 
@@ -614,7 +615,7 @@ Scalar    Scalar     Matrix  Matrix  ComplexD      SpinColourMatrixD
 
 The types are implemented via a recursive tensor nesting system.
 
-**Example** 
+**Example**
 
 Here, the prefix "i" indicates for internal use, preserving the template nature of the class. 
 Final types are declared with vtype selected to be both scalar and vector, appropriate to a
@@ -1021,26 +1022,6 @@ This enables the coordinates to be manipulated without heap allocation or thread
 and avoids introducing STL functions into GPU code, but does so at the expense of introducing
 a maximum dimensionality. This limit is easy to change (lib/util/Coordinate.h).
 
-**Internals**
-
-The processor Grid is defined by data values in the Communicator object::
-
-  int              _Nprocessors;     // How many in all
-  std::vector<int> _processors;      // Which dimensions get relayed out over processors lanes.
-  int              _processor;       // linear processor rank
-  std::vector<int> _processor_coor;  // linear processor coordinate
-  unsigned long    _ndimension;
-  Grid_MPI_Comm    communicator;
-
-The final of these is potentially an MPI Cartesian communicator, mapping some total number of processors
-to an N-dimensional coordinate system. This is used by Grid to geometrically decompose the subvolumes of a
-lattice field across processing elements. Grid is aware of multiple ranks per node and attempts to ensure
-that the geometrical decomposition keeps as many neigbours as possible on the same node. This is done
-by reordering the ranks in the constructor of a Communicator object once the topology requested has
-been indicated, via an internal call to the method OptimalCommunicator(). The reordering is chosen
-by Grid to trick MPI, which makes a simple lexicographic assignment of ranks to coordinate, to ensure
-that the simple lexicographic assignment of the reordered ranks is the optimal choice. MPI does not do this
-by default and substantial improvements arise from this design choice.
 
 Grids
 -------------
@@ -1135,6 +1116,26 @@ are provided to communicate fields between different communicators (e.g. between
   Grid_split  (Umu,s_Umu);
   Grid_split  (src,s_src);
 
+**Internals**
+
+The processor Grid is defined by data values in the Communicator object::
+
+  int              _Nprocessors;     // How many in all
+  std::vector<int> _processors;      // Which dimensions get relayed out over processors lanes.
+  int              _processor;       // linear processor rank
+  std::vector<int> _processor_coor;  // linear processor coordinate
+  unsigned long    _ndimension;
+  Grid_MPI_Comm    communicator;
+
+The final of these is potentially an MPI Cartesian communicator, mapping some total number of processors
+to an N-dimensional coordinate system. This is used by Grid to geometrically decompose the subvolumes of a
+lattice field across processing elements. Grid is aware of multiple ranks per node and attempts to ensure
+that the geometrical decomposition keeps as many neigbours as possible on the same node. This is done
+by reordering the ranks in the constructor of a Communicator object once the topology requested has
+been indicated, via an internal call to the method OptimalCommunicator(). The reordering is chosen
+by Grid to trick MPI, which makes a simple lexicographic assignment of ranks to coordinate, to ensure
+that the simple lexicographic assignment of the reordered ranks is the optimal choice. MPI does not do this
+by default and substantial improvements arise from this design choice.
 
 Lattice containers
 -----------------------------------------
@@ -1565,62 +1566,6 @@ lattice site :math:`x_\mu = 1` in the rhs to :math:`x_\mu = 0` in the result.
   }
 
 
-CovariantCshift 
-^^^^^^^^^^^^^^^^^^^^
-
-Covariant Cshift operations are provided for common cases of the boundary condition. These may be further optimised
-in future::
-
-  template<class covariant,class gauge> 
-  Lattice<covariant> CovShiftForward(const Lattice<gauge> &Link, int mu,
-			   	     const Lattice<covariant> &field);
-
-  template<class covariant,class gauge> 
-  Lattice<covariant> CovShiftBackward(const Lattice<gauge> &Link, int mu,
-			              const Lattice<covariant> &field);
-
-Boundary conditions
-^^^^^^^^^^^^^^^^^^^^
-
-The covariant shift routines occur in namespaces PeriodicBC and ConjugateBC. The correct covariant shift
-for the boundary condition is passed into the gauge actions and wilson loops via an
-"Impl" template policy class.
-
-The relevant staples, plaquettes, and loops are formed by using the provided method::
-
-    Impl::CovShiftForward
-    Impl::CovShiftBackward
-
-etc... This makes physics code transform appropriately with externally supplied rules about
-treating the boundary.
-
-**Example** (lib/qcd/util/WilsonLoops.h)::
-
-  static void dirPlaquette(GaugeMat &plaq, const std::vector<GaugeMat> &U,
-                           const int mu, const int nu) {
-    // ___
-    //|   |
-    //|<__|
-    plaq = Gimpl::CovShiftForward(U[mu],mu,
-                    Gimpl::CovShiftForward(U[nu],nu,
-			Gimpl::CovShiftBackward(U[mu],mu,
-			   Gimpl::CovShiftIdentityBackward(U[nu], nu))));
-  }
-
-Currently provided predefined implementations are (qcd/action/gauge/GaugeImplementations.h)::
-
-	  typedef PeriodicGaugeImpl<GimplTypesR> PeriodicGimplR; // Real.. whichever prec
-	  typedef PeriodicGaugeImpl<GimplTypesF> PeriodicGimplF; // Float
-	  typedef PeriodicGaugeImpl<GimplTypesD> PeriodicGimplD; // Double
-
-	  typedef PeriodicGaugeImpl<GimplAdjointTypesR> PeriodicGimplAdjR; // Real.. whichever prec
-	  typedef PeriodicGaugeImpl<GimplAdjointTypesF> PeriodicGimplAdjF; // Float
-	  typedef PeriodicGaugeImpl<GimplAdjointTypesD> PeriodicGimplAdjD; // Double
-
-	  typedef ConjugateGaugeImpl<GimplTypesR> ConjugateGimplR; // Real.. whichever prec
-	  typedef ConjugateGaugeImpl<GimplTypesF> ConjugateGimplF; // Float
-	  typedef ConjugateGaugeImpl<GimplTypesD> ConjugateGimplD; // Double
-
 
 
 Inter-grid transfer operations
@@ -1694,11 +1639,6 @@ Growing a lattice by a multiple factor, with periodic replication::
 That latter is useful to, for example, pre-thermalise a smaller volume and then grow the volume in HMC.
 It was written while debugging G-parity boundary conditions.
 
-Input/Output facilities
----------------------------------------------
-
-
-
 
 Random number generators
 =========================================
@@ -1732,18 +1672,32 @@ The interface is as follows::
   class GridSerialRNG { 
     GridSerialRNG();
     void SeedFixedIntegers(const std::vector<int> &seeds);
+    void SeedUniqueString(const std::string &s);
   }
 
   class GridParallelRNG {
     GridParallelRNG(GridBase *grid);
     void SeedFixedIntegers(const std::vector<int> &seeds);
+    void SeedUniqueString(const std::string &s);
   }
 
-  template <class vobj> void random(GridParallelRNG &rng,Lattice<vobj> &l)   { rng.fill(l,rng._uniform);  }
-  template <class vobj> void gaussian(GridParallelRNG &rng,Lattice<vobj> &l) { rng.fill(l,rng._gaussian); }
+* Seeding 
 
-  template <class sobj> void random(GridSerialRNG &rng,sobj &l)   { rng.fill(l,rng._uniform  ); }
-  template <class sobj> void gaussian(GridSerialRNG &rng,sobj &l) { rng.fill(l,rng._gaussian ); }
+The SeedUniqueString uses a 256bit SHA from the OpenSSL library to construct integer seeds.
+The reason for this is to enable reproducible seeding in the measurement sector of physics codes.
+For example, labelling a random drawn by a string representation the physics information, and the
+appending trajectory number will give a unique set of seeds for each measurement on each trajectory.
+This string based functionality is probably not expected to be used in a lattice evolution, except for
+possibly the initial state. Subsequent evolution should checkpoint and restore lattice RNG state using
+the interfaces below.
+
+These may be drawn as follows::
+
+  void random(GridParallelRNG &rng,Lattice<vobj> &l)   { rng.fill(l,rng._uniform);  }
+  void gaussian(GridParallelRNG &rng,Lattice<vobj> &l) { rng.fill(l,rng._gaussian); }
+
+  void random(GridSerialRNG &rng,sobj &l)   { rng.fill(l,rng._uniform  ); }
+  void gaussian(GridSerialRNG &rng,sobj &l) { rng.fill(l,rng._gaussian ); }
 
 * Serial RNG's are used to assign scalar fields. 
 
@@ -2435,13 +2389,52 @@ Class::
    class AlgRemez
 
 
-Iterative
-------------
+Iterative solvers and algorithms
+-----------------------------------
 
 We document a number of iterative algorithms of topical relevance to Lattice Gauge theory.
 These are written for application to arbitrary fields and arbitrary operators using type
 templating, by implementating them as arbitrary OperatorFunctions.
 
+Most of these algorithms these algorithms operate on a generic matrix class, which
+derives from LinearOperatorBase.
+
+Linear operators
+^^^^^^^^^^^^^^^^^
+
+By sharing the class for Sparse Matrix across multiple operator wrappers, we can share code
+between RB and non-RB variants. Sparse matrix is an abstract fermion action def, and then
+the LinearOperator wrappers implement the specialisation of "Op" and "AdjOp" to the cases minimising
+replication of code.
+
+algorithms/LinearOperator.h
+
+Class::
+
+    template<class Field> class LinearOperatorBase {
+    public:
+
+      // Support for coarsening to a multigrid
+      virtual void OpDiag (const Field &in, Field &out) = 0; // Abstract base
+      virtual void OpDir  (const Field &in, Field &out,int dir,int disp) = 0; // Abstract base
+
+      virtual void Op     (const Field &in, Field &out) = 0; // Abstract base
+      virtual void AdjOp  (const Field &in, Field &out) = 0; // Abstract base
+      virtual void HermOpAndNorm(const Field &in, Field &out,RealD &n1,RealD &n2) = 0;
+      virtual void HermOp(const Field &in, Field &out)=0;
+    };
+
+The specific operators are:
+
+    template<class Matrix,class Field>  class MdagMLinearOperator : public LinearOperatorBase<Field> 
+    template<class Matrix,class Field>  class ShiftedMdagMLinearOperator : public LinearOperatorBase<Field> 
+    template<class Matrix,class Field>  class HermitianLinearOperator : public LinearOperatorBase<Field> 
+    template<class Field>               class SchurOperatorBase :  public LinearOperatorBase<Field> 
+    template<class Matrix,class Field>  class SchurDiagOneRH :  public SchurOperatorBase<Field> 
+    template<class Matrix,class Field>  class SchurDiagOneLH :  public SchurOperatorBase<Field> 
+    template<class Matrix,class Field>  class SchurStaggeredOperator :  public SchurOperatorBase<Field> 
+
+
 Conjugate Gradient 
 ^^^^^^^^^^^^^^^^^^^
 
@@ -2558,41 +2551,6 @@ Solve method::
       void calc(std::vector<RealD>& eval, std::vector<Field>& evec,  const Field& src, int& Nconv, bool reverse=false)
 
 
-Linear operators
-^^^^^^^^^^^^^^^^^
-
-By sharing the class for Sparse Matrix across multiple operator wrappers, we can share code
-between RB and non-RB variants. Sparse matrix is an abstract fermion action def, and then
-the LinearOperator wrappers implement the specialisation of "Op" and "AdjOp" to the cases minimising
-replication of code.
-
-algorithms/LinearOperator.h
-
-Class::
-
-    template<class Field> class LinearOperatorBase {
-    public:
-
-      // Support for coarsening to a multigrid
-      virtual void OpDiag (const Field &in, Field &out) = 0; // Abstract base
-      virtual void OpDir  (const Field &in, Field &out,int dir,int disp) = 0; // Abstract base
-
-      virtual void Op     (const Field &in, Field &out) = 0; // Abstract base
-      virtual void AdjOp  (const Field &in, Field &out) = 0; // Abstract base
-      virtual void HermOpAndNorm(const Field &in, Field &out,RealD &n1,RealD &n2) = 0;
-      virtual void HermOp(const Field &in, Field &out)=0;
-    };
-
-The specific operators are:
-
-    template<class Matrix,class Field>  class MdagMLinearOperator : public LinearOperatorBase<Field> 
-    template<class Matrix,class Field>  class ShiftedMdagMLinearOperator : public LinearOperatorBase<Field> 
-    template<class Matrix,class Field>  class HermitianLinearOperator : public LinearOperatorBase<Field> 
-    template<class Field>               class SchurOperatorBase :  public LinearOperatorBase<Field> 
-    template<class Matrix,class Field>  class SchurDiagOneRH :  public SchurOperatorBase<Field> 
-    template<class Matrix,class Field>  class SchurDiagOneLH :  public SchurOperatorBase<Field> 
-    template<class Matrix,class Field>  class SchurStaggeredOperator :  public SchurOperatorBase<Field> 
-
 Schur decomposition
 ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^
 
@@ -2647,37 +2605,15 @@ Grid Dirac algebra, spin projectors, and Gamma multiplication table.
 
 The spin basis is:
 
-* :math:`\gamma_x` 
-==== == == ==
- ( 0  0  0  i)
- ( 0  0  i  0)
- ( 0 -i  0  0)
- (-i  0  0  0)
-==== == == ==
- 
-* :math:`\gamma_y` 
-==== == == ==
- ( 0  0  0 -1)
- ( 0  0  1  0)
- ( 0  1  0  0)
- (-1  0  0  0)
-==== == == ==
- 
-* :math:`\gamma_z` 
-==== == == ==
- ( 0  0  i  0)
- ( 0  0  0 -i)
- (-i  0  0  0)
- ( 0  i  0  0)
-==== == == ==
+.. math:: \gamma_x= \left(\begin{array}{cccc}    0& 0& 0& i\\  0& 0& i& 0\\  0&-i& 0& 0\\ -i& 0& 0& 0 \end{array}\right)
 
-* :math:`\gamma_t` 
-==== == == ==
- ( 0  0  1  0)
- ( 0  0  0  1)
- ( 1  0  0  0)
- ( 0  1  0  0)
-==== == == ==
+.. math:: \gamma_y= \left(\begin{array}{cccc}    0& 0& 0&-1\\  0& 0& 1& 0\\  0& 1& 0& 0\\ -1& 0& 0& 0 \end{array}\right)
+
+.. math:: \gamma_z= \left(\begin{array}{cccc}    0& 0& i& 0\\  0& 0& 0&-i\\ -i& 0& 0& 0\\  0& i& 0& 0 \end{array}\right)
+
+.. math:: \gamma_t= \left(\begin{array}{cccc}    0& 0& 1& 0\\  0& 0& 0& 1\\  1& 0& 0& 0\\  0& 1& 0& 0 \end{array}\right)
+
+.. math:: \gamma_5= \left(\begin{array}{cccc}    1& 0& 0& 0\\  0& 1& 0& 0\\  0& 0&-1 &0\\  0& 0& 0&-1 \end{array}\right)
 
 These can be accessed via a strongly typed enumeration to avoid multiplication by zeros.
 The values are considered opaque, and symbolic names must be used.
@@ -2700,7 +2636,7 @@ These are signed (prefixes like MinusIdentity also work)::
       Gamma::Algebra::SigmaYZ
       Gamma::Algebra::SigmaZT
 
-** Example ** 
+**Example** 
 
 They can be used, for example (benchmarks/Benchmark_wilson.cc)::
 
@@ -2733,73 +2669,523 @@ They can be used, for example (benchmarks/Benchmark_wilson.cc)::
 Two spin projection is also possible on non-lattice fields, and used to build high performance routines
 such as the Wilson kernel::
 
-  template<class vtype> strong_inline void spProjXp (iVector<vtype,Nhs> &hspin,const iVector<vtype,Ns> &fspin)
-  template<class vtype> strong_inline void spProjYp (iVector<vtype,Nhs> &hspin,const iVector<vtype,Ns> &fspin)
-  template<class vtype> strong_inline void spProjZp (iVector<vtype,Nhs> &hspin,const iVector<vtype,Ns> &fspin)
-  template<class vtype> strong_inline void spProjTp (iVector<vtype,Nhs> &hspin,const iVector<vtype,Ns> &fspin)
-  template<class vtype> strong_inline void spProj5p (iVector<vtype,Nhs> &hspin,const iVector<vtype,Ns> &fspin)
-  template<class vtype> strong_inline void spProjXm (iVector<vtype,Nhs> &hspin,const iVector<vtype,Ns> &fspin)
-  template<class vtype> strong_inline void spProjYm (iVector<vtype,Nhs> &hspin,const iVector<vtype,Ns> &fspin)
-  template<class vtype> strong_inline void spProjZm (iVector<vtype,Nhs> &hspin,const iVector<vtype,Ns> &fspin)
-  template<class vtype> strong_inline void spProjTm (iVector<vtype,Nhs> &hspin,const iVector<vtype,Ns> &fspin)
-  template<class vtype> strong_inline void spProj5m (iVector<vtype,Nhs> &hspin,const iVector<vtype,Ns> &fspin)
+  template<class vtype>  void spProjXp (iVector<vtype,Nhs> &hspin,const iVector<vtype,Ns> &fspin)
+  template<class vtype>  void spProjYp (iVector<vtype,Nhs> &hspin,const iVector<vtype,Ns> &fspin)
+  template<class vtype>  void spProjZp (iVector<vtype,Nhs> &hspin,const iVector<vtype,Ns> &fspin)
+  template<class vtype>  void spProjTp (iVector<vtype,Nhs> &hspin,const iVector<vtype,Ns> &fspin)
+  template<class vtype>  void spProj5p (iVector<vtype,Nhs> &hspin,const iVector<vtype,Ns> &fspin)
+  template<class vtype>  void spProjXm (iVector<vtype,Nhs> &hspin,const iVector<vtype,Ns> &fspin)
+  template<class vtype>  void spProjYm (iVector<vtype,Nhs> &hspin,const iVector<vtype,Ns> &fspin)
+  template<class vtype>  void spProjZm (iVector<vtype,Nhs> &hspin,const iVector<vtype,Ns> &fspin)
+  template<class vtype>  void spProjTm (iVector<vtype,Nhs> &hspin,const iVector<vtype,Ns> &fspin)
+  template<class vtype>  void spProj5m (iVector<vtype,Nhs> &hspin,const iVector<vtype,Ns> &fspin)
 
 and there are associated reconstruction routines for assembling four spinors from these two spinors::
 
-  template<class vtype> strong_inline void spReconXp (iVector<vtype,Ns> &fspin,const iVector<vtype,Nhs> &hspin)
-  template<class vtype> strong_inline void spReconYp (iVector<vtype,Ns> &fspin,const iVector<vtype,Nhs> &hspin)
-  template<class vtype> strong_inline void spReconZp (iVector<vtype,Ns> &fspin,const iVector<vtype,Nhs> &hspin)
-  template<class vtype> strong_inline void spReconTp (iVector<vtype,Ns> &fspin,const iVector<vtype,Nhs> &hspin)
-  template<class vtype> strong_inline void spRecon5p (iVector<vtype,Ns> &fspin,const iVector<vtype,Nhs> &hspin)
-  template<class vtype> strong_inline void spReconXm (iVector<vtype,Ns> &fspin,const iVector<vtype,Nhs> &hspin)
-  template<class vtype> strong_inline void spReconYm (iVector<vtype,Ns> &fspin,const iVector<vtype,Nhs> &hspin)
-  template<class vtype> strong_inline void spReconZm (iVector<vtype,Ns> &fspin,const iVector<vtype,Nhs> &hspin)
-  template<class vtype> strong_inline void spReconTm (iVector<vtype,Ns> &fspin,const iVector<vtype,Nhs> &hspin)
-  template<class vtype> strong_inline void spRecon5m (iVector<vtype,Ns> &fspin,const iVector<vtype,Nhs> &hspin)
+  template<class vtype>  void spReconXp (iVector<vtype,Ns> &fspin,const iVector<vtype,Nhs> &hspin)
+  template<class vtype>  void spReconYp (iVector<vtype,Ns> &fspin,const iVector<vtype,Nhs> &hspin)
+  template<class vtype>  void spReconZp (iVector<vtype,Ns> &fspin,const iVector<vtype,Nhs> &hspin)
+  template<class vtype>  void spReconTp (iVector<vtype,Ns> &fspin,const iVector<vtype,Nhs> &hspin)
+  template<class vtype>  void spRecon5p (iVector<vtype,Ns> &fspin,const iVector<vtype,Nhs> &hspin)
+  template<class vtype>  void spReconXm (iVector<vtype,Ns> &fspin,const iVector<vtype,Nhs> &hspin)
+  template<class vtype>  void spReconYm (iVector<vtype,Ns> &fspin,const iVector<vtype,Nhs> &hspin)
+  template<class vtype>  void spReconZm (iVector<vtype,Ns> &fspin,const iVector<vtype,Nhs> &hspin)
+  template<class vtype>  void spReconTm (iVector<vtype,Ns> &fspin,const iVector<vtype,Nhs> &hspin)
+  template<class vtype>  void spRecon5m (iVector<vtype,Ns> &fspin,const iVector<vtype,Nhs> &hspin)
 
-  template<class vtype> strong_inline void accumReconXp (iVector<vtype,Ns> &fspin,const iVector<vtype,Nhs> &hspin)
-  template<class vtype> strong_inline void accumReconYp (iVector<vtype,Ns> &fspin,const iVector<vtype,Nhs> &hspin)
-  template<class vtype> strong_inline void accumReconZp (iVector<vtype,Ns> &fspin,const iVector<vtype,Nhs> &hspin)
-  template<class vtype> strong_inline void accumReconTp (iVector<vtype,Ns> &fspin,const iVector<vtype,Nhs> &hspin)
-  template<class vtype> strong_inline void accumRecon5p (iVector<vtype,Ns> &fspin,const iVector<vtype,Nhs> &hspin)
-  template<class vtype> strong_inline void accumReconXm (iVector<vtype,Ns> &fspin,const iVector<vtype,Nhs> &hspin)
-  template<class vtype> strong_inline void accumReconYm (iVector<vtype,Ns> &fspin,const iVector<vtype,Nhs> &hspin)
-  template<class vtype> strong_inline void accumReconZm (iVector<vtype,Ns> &fspin,const iVector<vtype,Nhs> &hspin)
-  template<class vtype> strong_inline void accumReconTm (iVector<vtype,Ns> &fspin,const iVector<vtype,Nhs> &hspin)
-  template<class vtype> strong_inline void accumRecon5m (iVector<vtype,Ns> &fspin,const iVector<vtype,Nhs> &hspin)
+  template<class vtype>  void accumReconXp (iVector<vtype,Ns> &fspin,const iVector<vtype,Nhs> &hspin)
+  template<class vtype>  void accumReconYp (iVector<vtype,Ns> &fspin,const iVector<vtype,Nhs> &hspin)
+  template<class vtype>  void accumReconZp (iVector<vtype,Ns> &fspin,const iVector<vtype,Nhs> &hspin)
+  template<class vtype>  void accumReconTp (iVector<vtype,Ns> &fspin,const iVector<vtype,Nhs> &hspin)
+  template<class vtype>  void accumRecon5p (iVector<vtype,Ns> &fspin,const iVector<vtype,Nhs> &hspin)
+  template<class vtype>  void accumReconXm (iVector<vtype,Ns> &fspin,const iVector<vtype,Nhs> &hspin)
+  template<class vtype>  void accumReconYm (iVector<vtype,Ns> &fspin,const iVector<vtype,Nhs> &hspin)
+  template<class vtype>  void accumReconZm (iVector<vtype,Ns> &fspin,const iVector<vtype,Nhs> &hspin)
+  template<class vtype>  void accumReconTm (iVector<vtype,Ns> &fspin,const iVector<vtype,Nhs> &hspin)
+  template<class vtype>  void accumRecon5m (iVector<vtype,Ns> &fspin,const iVector<vtype,Nhs> &hspin)
 
+These ca
 
 
 SU(N)
 --------
 
+A generic Nc qcd/utils/SUn.h is provided. This defines a template class::
+
+  template <int ncolour> class SU ;
+
+The most important external methods are::
+
+  static void printGenerators(void) ;
+  template <class cplx>  static void generator(int lieIndex, iSUnMatrix<cplx> &ta) ;
+
+  static void SubGroupHeatBath(GridSerialRNG &sRNG, GridParallelRNG &pRNG, RealD beta,  // coeff multiplying staple in action (with no 1/Nc)
+                               LatticeMatrix &link,
+			       const LatticeMatrix &barestaple,  // multiplied by action coeffs so th
+			       int su2_subgroup, int nheatbath, LatticeInteger &wheremask);
+
+  static void GaussianFundamentalLieAlgebraMatrix(GridParallelRNG &pRNG,
+                                                  LatticeMatrix &out,
+                                                  Real scale = 1.0) ;
+  static void GaugeTransform( GaugeField &Umu, GaugeMat &g)
+  static void RandomGaugeTransform(GridParallelRNG &pRNG, GaugeField &Umu, GaugeMat &g);
+
+  static void HotConfiguration(GridParallelRNG &pRNG, GaugeField &out) ;
+  static void TepidConfiguration(GridParallelRNG &pRNG,GaugeField &out);
+  static void ColdConfiguration(GaugeField &out);
+
+  static void taProj( const LatticeMatrixType &in,  LatticeMatrixType &out);
+  static void taExp(const LatticeMatrixType &x, LatticeMatrixType &ex) ;
+
+  static int su2subgroups(void) ; // returns how many subgroups
+
+
+Specific instantiations are defined::
+
+	 typedef SU<2> SU2;
+	 typedef SU<3> SU3;
+	 typedef SU<4> SU4;
+	 typedef SU<5> SU5;
+
+For example, Quenched QCD updating may be run as (tests/core/Test_quenched_update.cc)::
+
+  for(int sweep=0;sweep<1000;sweep++){
+
+    RealD plaq = ColourWilsonLoops::avgPlaquette(Umu);
+
+    std::cout<<GridLogMessage<<"sweep "<<sweep<<" PLAQUETTE "<<plaq<<std::endl;
+
+    for( int cb=0;cb<2;cb++ ) {
+
+      one.checkerboard=subsets[cb];
+      mask= zero;
+      setCheckerboard(mask,one);
+
+      //      std::cout<<GridLogMessage<<mask<<std::endl;
+      for(int mu=0;mu<Nd;mu++){
+	
+	// Get Link and Staple term in action; must contain Beta and 
+	// any other coeffs
+	ColourWilsonLoops::Staple(staple,Umu,mu);
+
+	link = PeekIndex<LorentzIndex>(Umu,mu);
+
+	for( int subgroup=0;subgroup<SU3::su2subgroups();subgroup++ ) {
+
+	  // update Even checkerboard
+	  SU3::SubGroupHeatBath(sRNG,pRNG,beta,link,staple,subgroup,20,mask);
+
+	}
+
+	PokeIndex<LorentzIndex>(Umu,link,mu);
+	
+	//reunitarise link;
+	ProjectOnGroup(Umu);
+      }
+    }
+  }
+
+
 Space time grids
 ----------------
 
-Random configurations and random gauge transforms
----------------------------------------------------
-
-
-Wilson loops
---------------
 
 
 Lattice actions
 =========================================
 
-.. todo:: CD: The whole section needs to be completed, of course
+We discuss in some detail the implementation of the lattice actions.
+The action is a sum of terms, each of which must inherit from and provide the following interface.
+
+lib/qcd/action/ActionBase.h::
+
+  class Action 
+  {
+
+   public:
+    bool is_smeared = false;
+    // Heatbath?
+    virtual void refresh(const GaugeField& U, GridParallelRNG& pRNG) = 0; // refresh pseudofermions
+    virtual RealD S(const GaugeField& U) = 0;                             // evaluate the action
+    virtual void deriv(const GaugeField& U, GaugeField& dSdU) = 0;        // evaluate the action derivative
+    virtual std::string action_name()    = 0;                             // return the action name
+    virtual std::string LogParameters()  = 0;                             // prints action parameters
+    virtual ~Action(){}
+  };
+
+Fermion Lattice actions are defined in the qcd/action/fermion subdirectory and  in the
+qcd/action/gauge subdirectories. For Hybrid Monte Carlo and derivative sampling algorithm
+Pseudofermoin actions are defined in the qcd/action/pseudofermion subdirectory.
+
+The simplest lattice action is the Wilson plaquette action, and we start by considering the Wilson loops
+facilities as this is illustrative of the implementation policy design approach.
+
+Wilson loops
+--------------
+
+Wilson loops are common objects in Lattice Gauge Theory.
+A utility class is provided to assist assembling these as they occur both in common observable construction but
+also in actions such as the Wilson plaquette and the rectangle actions. 
+
+Since derivatives with respect to gauge links are required for evolution codes, non-closed staples of 
+various types are also provided. The gauge actions are all assembled consistently from the Wilson loops
+class.
+
+**Implementation policies**
+
+The Wilson loops class is templated to take a implementation policy class parameter. The covarian Cshift is inherity from
+the policy and implements boundary conditions, such as period, anti-period or charge conjugate. In this
+way the Wilson loop code can automatically transform with the boundary condition and give the right plaquette,
+force terms etc... for the boundary conditions passed in external to the class. 
+
+
+This implementation policy class is called an "impl", and a class that bundles together all the required
+rules to assemble a gauge action is called a Gimpl.
+
+There are several facilities provided by a Gimpl.
+
+These include Boundary conditions and consequently a CovariantCshift.
+
+CovariantCshift 
+^^^^^^^^^^^^^^^^^^
+
+Covariant Cshift operations are provided for common cases of the boundary condition. These may be further optimised
+in future::
+
+  template<class covariant,class gauge> 
+  Lattice<covariant> CovShiftForward(const Lattice<gauge> &Link, int mu,
+			   	     const Lattice<covariant> &field);
+
+  template<class covariant,class gauge> 
+  Lattice<covariant> CovShiftBackward(const Lattice<gauge> &Link, int mu,
+			              const Lattice<covariant> &field);
+
+Boundary conditions
+^^^^^^^^^^^^^^^^^^^^^^^^
+
+The covariant shift routines occur in namespaces PeriodicBC and ConjugateBC. The correct covariant shift
+for the boundary condition is passed into the gauge actions and wilson loops via an
+"Impl" template policy class.
+
+The relevant staples, plaquettes, and loops are formed by using the provided method::
+
+    Impl::CovShiftForward
+    Impl::CovShiftBackward
+
+etc... This makes physics code transform appropriately with externally supplied rules about
+treating the boundary.
+
+**Example** (lib/qcd/util/WilsonLoops.h)::
+
+  static void dirPlaquette(GaugeMat &plaq, const std::vector<GaugeMat> &U,
+                           const int mu, const int nu) {
+    // ___
+    //|   |
+    //|<__|
+    plaq = Gimpl::CovShiftForward(U[mu],mu,
+                    Gimpl::CovShiftForward(U[nu],nu,
+			Gimpl::CovShiftBackward(U[mu],mu,
+			   Gimpl::CovShiftIdentityBackward(U[nu], nu))));
+  }
+
+Currently provided predefined implementations are (qcd/action/gauge/GaugeImplementations.h)::
+
+	  typedef PeriodicGaugeImpl<GimplTypesR> PeriodicGimplR; // Real.. whichever prec
+	  typedef PeriodicGaugeImpl<GimplTypesF> PeriodicGimplF; // Float
+	  typedef PeriodicGaugeImpl<GimplTypesD> PeriodicGimplD; // Double
+
+	  typedef PeriodicGaugeImpl<GimplAdjointTypesR> PeriodicGimplAdjR; // Real.. whichever prec
+	  typedef PeriodicGaugeImpl<GimplAdjointTypesF> PeriodicGimplAdjF; // Float
+	  typedef PeriodicGaugeImpl<GimplAdjointTypesD> PeriodicGimplAdjD; // Double
+
+	  typedef ConjugateGaugeImpl<GimplTypesR> ConjugateGimplR; // Real.. whichever prec
+	  typedef ConjugateGaugeImpl<GimplTypesF> ConjugateGimplF; // Float
+	  typedef ConjugateGaugeImpl<GimplTypesD> ConjugateGimplD; // Double
+
+Gauge Actions
+---------------
+
+lib/qcd/action/gauge/Photon.h defines the U(1) field::
+
+     class Photon
+
+using Fourier techniques.
+
+lib/qcd/action/gauge/WilsonGaugeAction.h defines the standard plaquette action::
+
+  template <class Gimpl>
+  class WilsonGaugeAction : public Action<typename Gimpl::GaugeField> ;
+
+This action is suitable to use in a Hybrid Monte Carlo evolution as an action term and has constructor::
+
+   WilsonGaugeAction(RealD beta_);
+
+lib/qcd/action/gauge/PlaqPlusRectangleAction.h defines the standard plaquette plus rectangle class of action::
+
+  template<class Gimpl>
+  class PlaqPlusRectangleAction : public Action<typename Gimpl::GaugeField> ;
+
+The constructor is::
+
+   PlaqPlusRectangleAction(RealD b,RealD c);
+
+Due to varying conventions, convenience wrappers are provided::
+
+    template<class Gimpl>    class RBCGaugeAction : public PlaqPlusRectangleAction<Gimpl>;
+    template<class Gimpl>    class IwasakiGaugeAction : public RBCGaugeAction<Gimpl> ;
+    template<class Gimpl>    class SymanzikGaugeAction : public RBCGaugeAction<Gimpl> ;
+    template<class Gimpl>    class DBW2GaugeAction : public RBCGaugeAction<Gimpl> ;
+
+With convenience constructors to set the rectangle coefficient automatically to popular values::
+
+      SymanzikGaugeAction(RealD beta) : RBCGaugeAction<Gimpl>(beta,-1.0/12.0) {};
+      IwasakiGaugeAction(RealD beta) : RBCGaugeAction<Gimpl>(beta,-0.331) {};
+      DBW2GaugeAction(RealD beta) : RBCGaugeAction<Gimpl>(beta,-1.4067) {};
 
-  WilsonCloverFermionR Dwc(Umu, Grid, RBGrid, mass, csw_r, csw_t, anis, params);
-	  
-Gauge
---------
 
 Fermion
 --------
 
+These classes all make use of a Fermion Implementation (Fimpl) policy class to provide
+things like boundary conditions, covariant transportation rules etc.
+
+All Fermion operators actions inherit from a common base class, 
+
+that conforms to the CheckerBoardedSparseMatrix interface and constrains these objects to conform to the
+interface expected by general algorithms in Grid::
+
+    /////////////////////////////////////////////////////////////////////////////////////////////
+    // Interface defining what I expect of a general sparse matrix, such as a Fermion action
+    /////////////////////////////////////////////////////////////////////////////////////////////
+    template<class Field> class SparseMatrixBase {
+    public:
+      virtual GridBase *Grid(void) =0;
+      // Full checkerboar operations
+      virtual RealD M    (const Field &in, Field &out)=0;
+      virtual RealD Mdag (const Field &in, Field &out)=0;
+      virtual void  MdagM(const Field &in, Field &out,RealD &ni,RealD &no) {
+        Field tmp (in._grid);
+        ni=M(in,tmp);
+        no=Mdag(tmp,out);
+      }
+      virtual  void Mdiag    (const Field &in, Field &out)=0;
+      virtual  void Mdir     (const Field &in, Field &out,int dir, int disp)=0;
+    };
+
+    /////////////////////////////////////////////////////////////////////////////////////////////
+    // Interface augmented by a red black sparse matrix, such as a Fermion action
+    /////////////////////////////////////////////////////////////////////////////////////////////
+    template<class Field> class CheckerBoardedSparseMatrixBase : public SparseMatrixBase<Field> {
+    public:
+      virtual GridBase *RedBlackGrid(void)=0;
+      // half checkerboard operaions
+      virtual  void Meooe    (const Field &in, Field &out)=0;
+      virtual  void Mooee    (const Field &in, Field &out)=0;
+      virtual  void MooeeInv (const Field &in, Field &out)=0;
+
+      virtual  void MeooeDag    (const Field &in, Field &out)=0;
+      virtual  void MooeeDag    (const Field &in, Field &out)=0;
+      virtual  void MooeeInvDag (const Field &in, Field &out)=0;
+
+    };
+
+The base class for Fermion Operators inherits frmo these::
+
+    template<class Impl>
+    class FermionOperator : public CheckerBoardedSparseMatrixBase<typename Impl::FermionField>, public Impl
+
+These all make use of an implementation template class, and the possible implementations include::
+
+  typedef WilsonImpl<vComplexF, FundamentalRepresentation, CoeffReal > WilsonImplF;  // Float
+  typedef WilsonImpl<vComplexD, FundamentalRepresentation, CoeffReal > WilsonImplD;  // Double
+
+Staggered fermions make us of a spin index free field via the StaggeredImpl::
+
+  typedef StaggeredImpl<vComplexF, FundamentalRepresentation > StaggeredImplF;  // Float
+  typedef StaggeredImpl<vComplexD, FundamentalRepresentation > StaggeredImplD;  // Double
+
+A number of alternate, non-fundamental Fermion representations are supported. Note that the Fermion
+action code is common to each of these, demonstrating the utility of the template Fimpl classes for separating
+the code that varies from the invariant sections::
+
+  typedef WilsonImpl<vComplexF, AdjointRepresentation, CoeffReal > WilsonAdjImplF;  // Float
+  typedef WilsonImpl<vComplexD, AdjointRepresentation, CoeffReal > WilsonAdjImplD;  // Double
+
+  typedef WilsonImpl<vComplexF, TwoIndexSymmetricRepresentation, CoeffReal > WilsonTwoIndexSymmetricImplF;  // Float
+  typedef WilsonImpl<vComplexD, TwoIndexSymmetricRepresentation, CoeffReal > WilsonTwoIndexSymmetricImplD;  // Double
+ 
+  typedef WilsonImpl<vComplexF, TwoIndexAntiSymmetricRepresentation, CoeffReal > WilsonTwoIndexAntiSymmetricImplF;  // Float
+  typedef WilsonImpl<vComplexD, TwoIndexAntiSymmetricRepresentation, CoeffReal > WilsonTwoIndexAntiSymmetricImplD;  // Double
+
+G-parity boundary conditions are supported, and an additional flavour index inserted on the Fermion field via the Gparity implementation::
+
+  typedef GparityWilsonImpl<vComplexF, FundamentalRepresentation,CoeffReal> GparityWilsonImplF;  // Float
+  typedef GparityWilsonImpl<vComplexD, FundamentalRepresentation,CoeffReal> GparityWilsonImplD;  // Double
+  
+ZMobius Fermions use complex rather than real action coefficients and are supported via an alternate implementation::
+
+  typedef WilsonImpl<vComplexF, FundamentalRepresentation, CoeffComplex > ZWilsonImplF; // Float
+  typedef WilsonImpl<vComplexD, FundamentalRepresentation, CoeffComplex > ZWilsonImplD; // Double
+
+
+Some example constructor calls are given below for Wilson and Clover fermions::
+
+    template <class Impl> class WilsonFermion;
+
+With constructor::
+
+    WilsonFermion(GaugeField &_Umu, GridCartesian &Fgrid,
+                  GridRedBlackCartesian &Hgrid, RealD _mass, 
+		  const ImplParams &p = ImplParams(), 
+                  const WilsonAnisotropyCoefficients &anis = WilsonAnisotropyCoefficients() );
+
+and::
+
+    template <class Impl> class WilsonCloverFermion : public WilsonFermion<Impl>;
+
+with constructor::
+
+    WilsonCloverFermion(GaugeField &_Umu, GridCartesian &Fgrid,
+                        GridRedBlackCartesian &Hgrid,
+                        const RealD _mass,
+                        const RealD _csw_r = 0.0,
+                        const RealD _csw_t = 0.0,
+                        const WilsonAnisotropyCoefficients &clover_anisotropy = WilsonAnisotropyCoefficients(),
+                        const ImplParams &impl_p = ImplParams());
+
+Additional paramters allow for anisotropic versions to be created, which take default values for
+the isotropic case.
+
+The constuctor signatures can be found in the header files in qcd/action/fermion/
+A complete list of the 4D ultralocal Fermion types is::
+
+    WilsonFermion<WilsonImplF>                            WilsonFermionF;
+    WilsonFermion<WilsonAdjImplF>                         WilsonAdjFermionF;
+    WilsonFermion<WilsonTwoIndexSymmetricImplF>           WilsonTwoIndexSymmetricFermionF;
+    WilsonFermion<WilsonTwoIndexAntiSymmetricImplF>       WilsonTwoIndexAntiSymmetricFermionF;
+    WilsonTMFermion<WilsonImplF>                          WilsonTMFermionF;
+    WilsonCloverFermion<WilsonImplF>                      WilsonCloverFermionF;
+    WilsonCloverFermion<WilsonAdjImplF>                   WilsonCloverAdjFermionF;
+    WilsonCloverFermion<WilsonTwoIndexSymmetricImplF>     WilsonCloverTwoIndexSymmetricFermionF;
+    WilsonCloverFermion<WilsonTwoIndexAntiSymmetricImplF> WilsonCloverTwoIndexAntiSymmetricFermionF;
+    ImprovedStaggeredFermion<StaggeredImplF>              ImprovedStaggeredFermionF;
+
+Cayley form chiral fermions (incl. domain wall)::
+
+    DomainWallFermion<WilsonImplF>                   DomainWallFermionF;
+    DomainWallEOFAFermion<WilsonImplF>               DomainWallEOFAFermionF;
+    MobiusFermion<WilsonImplF>                       MobiusFermionF;
+    MobiusEOFAFermion<WilsonImplF>                   MobiusEOFAFermionF;
+    ZMobiusFermion<ZWilsonImplF>                     ZMobiusFermionF;
+    ScaledShamirFermion<WilsonImplF>                 ScaledShamirFermionF;
+    MobiusZolotarevFermion<WilsonImplF>              MobiusZolotarevFermionF;
+    ShamirZolotarevFermion<WilsonImplF>              ShamirZolotarevFermionF;
+    OverlapWilsonCayleyTanhFermion<WilsonImplF>      OverlapWilsonCayleyTanhFermionF;
+    OverlapWilsonCayleyZolotarevFermion<WilsonImplF> OverlapWilsonCayleyZolotarevFermionF;
+
+Continued fraction overlap::
+
+    OverlapWilsonContFracTanhFermion<WilsonImplF>      OverlapWilsonContFracTanhFermionF;
+    OverlapWilsonContFracZolotarevFermion<WilsonImplF> OverlapWilsonContFracZolotarevFermionF;
+
+ Partial fraction overlap::
+
+    OverlapWilsonPartialFractionTanhFermion<WilsonImplF> OverlapWilsonPartialFractionTanhFermionF;
+    OverlapWilsonPartialFractionZolotarevFermion<WilsonImplF> OverlapWilsonPartialFractionZolotarevFermionF;
+
+  Gparity cases; a partial list is defined until tested::
+
+    WilsonFermion<GparityWilsonImplF>         GparityWilsonFermionF;
+    DomainWallFermion<GparityWilsonImplF>     GparityDomainWallFermionF;
+    DomainWallEOFAFermion<GparityWilsonImplF> GparityDomainWallEOFAFermionF;
+
+    WilsonTMFermion<GparityWilsonImplF>       GparityWilsonTMFermionF;
+    MobiusFermion<GparityWilsonImplF>         GparityMobiusFermionF;
+    MobiusEOFAFermion<GparityWilsonImplF>     GparityMobiusEOFAFermionF;
+
+For each action, the suffix "F" can be replaced with "D" to obtain a double precision version. More generally,
+it is possible to perform communications with a different precision from computation.
+The number of combinations is rather large to list, but in the above listing the substitution is the
+obvious one.
+
+==========   ================  ==================
+Suffix        Computation       Communication
+==========   ================  ==================
+F                fp32               fp32
+D                fp64               fp64
+R                default            default
+FH               fp32               fp16
+DF               fp64               fp32
+RL               default            lower 
+==========   ================  ==================
+
+
 Pseudofermion
 ---------------
 
+Pseudofermion actions are defined in  qcd/action/pseudofermion/ .
+These action terms are built from template classes::
+
+    // Base even odd HMC on the normal Mee based schur decomposition.
+    //
+    //     M = (Mee Meo) =  (1             0 )   (Mee   0               )  (1 Mee^{-1} Meo)
+    //         (Moe Moo)    (Moe Mee^-1    1 )   (0   Moo-Moe Mee^-1 Meo)  (0   1         )
+    //
+    // Determinant is det of middle factor. This assumes Mee is indept of U.
+    template<class Impl> class SchurDifferentiableOperator ;
+
+    // S = phi^dag (Mdag M)^-1 phi
+    template <class Impl>  class TwoFlavourPseudoFermionAction ;
+
+    // S = phi^dag V (Mdag M)^-1 Vdag phi
+    template<class Impl>   class TwoFlavourRatioPseudoFermionAction ;
+
+    // S = phi^dag (Mdag M)^-1 phi  (odd)
+    //   + phi^dag (Mdag M)^-1 phi  (even)
+    template <class Impl>  class TwoFlavourEvenOddPseudoFermionAction;
+
+    // S = phi^dag V (Mdag M)^-1 Vdag phi
+    template <class Impl>  class TwoFlavourEvenOddRatioPseudoFermionAction ;
+
+
+Rational HMC pseudofermion terms::
+
+    // S_f = chi^dag *  N(M^dag*M)/D(M^dag*M) * chi
+    //
+    // Here, M is some operator 
+    // N and D makeup the rat. poly 
+    template<class Impl> class OneFlavourRationalPseudoFermionAction;
+
+    // S_f = chi^dag* P(V^dag*V)/Q(V^dag*V)* N(M^dag*M)/D(M^dag*M)* P(V^dag*V)/Q(V^dag*V)* chi       
+    //
+    // Here P/Q \sim R_{1/4}  ~ (V^dagV)^{1/4}  
+    // Here N/D \sim R_{-1/2} ~ (M^dagM)^{-1/2}  
+    template<class Impl> class OneFlavourRatioRationalPseudoFermionAction;
+
+
+    // S = phi^dag (Mdag M)^-1/2 phi
+    template <class Impl> class OneFlavourEvenOddRationalPseudoFermionAction;
+
+    // S_f = chi^dag* P(V^dag*V)/Q(V^dag*V)* N(M^dag*M)/D(M^dag*M)* P(V^dag*V)/Q(V^dag*V)* chi       
+    //
+    // Here P/Q \sim R_{1/4}  ~ (V^dagV)^{1/4}  
+    // Here N/D \sim R_{-1/2} ~ (M^dagM)^{-1/2}  
+    template<class Impl> class OneFlavourEvenOddRatioRationalPseudoFermionAction;
+
+The relevant Fermion operators are constructed externally,
+and references are passed in to these object constructors. Thus, they work for any Fermion operator and the code
+can be shared. For example, one of the constructors is given as::
+
+      TwoFlavourEvenOddRatioPseudoFermionAction(FermionOperator<Impl>  &_NumOp, 
+                                                FermionOperator<Impl>  &_DenOp, 
+                                                OperatorFunction<FermionField> & DS,
+                                                OperatorFunction<FermionField> & AS) :
+
+
+The exact one flavour algorithm for Domain Wall Fermions is present but is not documented here::
+
+      #include <Grid/qcd/action/pseudofermion/ExactOneFlavourRatio.h>
+
 HMC
 =========================================
 

From 2c162577b528c913be25cd06aa75703ad3406665 Mon Sep 17 00:00:00 2001
From: Peter Boyle <peterboyle@Peters-MacBook-Pro.local>
Date: Tue, 25 Sep 2018 23:28:17 +0100
Subject: [PATCH 08/39] HMC documentation

---
 documentation/_build/latex/Grid.pdf | Bin 563934 -> 568974 bytes
 documentation/manual.rst            | 122 +++++++++++++++++++++++++++-
 tests/hmc/Test_hmc_EODWFRatio.cc    |   6 --
 3 files changed, 121 insertions(+), 7 deletions(-)

diff --git a/documentation/_build/latex/Grid.pdf b/documentation/_build/latex/Grid.pdf
index 17cdf6c236f1ea05b1dad3f680c8a1b49a04dd8f..8b9f2be13ef2079b1c009726e04d7e6dcdd6cab0 100644
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RlZA_e9iECxLP-+-{{q9~lcE3s

diff --git a/documentation/manual.rst b/documentation/manual.rst
index 8e0e79d7..1596de5e 100644
--- a/documentation/manual.rst
+++ b/documentation/manual.rst
@@ -3189,7 +3189,127 @@ The exact one flavour algorithm for Domain Wall Fermions is present but is not d
 HMC
 =========================================
 
-.. todo:: CD: The whole section needs to be completed, of course
+There are a large number of examples under tests/hmc/
+
+The most important data structure associated with (R)HMC describes the action
+and integration scheme.
+
+The action is a sum of terms, possibly with nested timesteps.
+
+This is assembled in an ActionSet object (qcd/action/ActionSet.h).
+The timesteps are managed by Levels. The ActionSet object maintains a list
+of ActionLevel objects::
+
+  // Define the ActionSet
+  template <class GaugeField, class R>
+  using ActionSet = std::vector<ActionLevel<GaugeField, R> >;
+
+Each ActionLevel is associated with each level of the
+nested integration scheme, schematically::
+
+  template <class Field>
+  struct ActionLevel {
+  public:
+    unsigned int multiplier;
+    // Fundamental repr actions separated because of the smearing
+    typedef Action<Field>* ActPtr;
+    std::vector<ActPtr>& actions;
+  }
+
+The outer loop, running MD trajectories, Metropolis steps, saving and restoring configurations
+is generic and managed by a "Runner" class..
+
+There are a number of possible integrators: LeapFrog, MinimumNorm2, ForceGradient
+
+These are a template parameter to the HMCRunner class. We will take as an example Test_hmc_EODWFRatio.cc::
+
+  typedef GenericHMCRunner<MinimumNorm2> HMCWrapper;  // Uses the default minimum norm
+
+The test defines the Fermion action and Gauge action
+
+  typedef WilsonImplR FermionImplPolicy;
+  typedef DomainWallFermionR FermionAction;
+  typedef typename FermionAction::FermionField FermionField;
+  HMCWrapper TheHMC;
+
+The HMC runner is given the Grid information (lifted from standard Grid --grid Lx.Ly.Lz.Lt command line)::
+
+  TheHMC.Resources.AddFourDimGrid("gauge");
+
+The checkpointing strategy is defined::
+
+  // Checkpointer definition
+  CheckpointerParameters CPparams;  
+  CPparams.config_prefix = "ckpoint_EODWF_lat";
+  CPparams.rng_prefix = "ckpoint_EODWF_rng";
+  CPparams.saveInterval = 5;
+  CPparams.format = "IEEE64BIG";
+  
+  TheHMC.Resources.LoadNerscCheckpointer(CPparams);
+
+.. todo::  HOW TO resume from saved RNGs. Guido changed this.
+
+Random number generators are seeded::
+
+  RNGModuleParameters RNGpar;
+  RNGpar.serial_seeds = "1 2 3 4 5";
+  RNGpar.parallel_seeds = "6 7 8 9 10";
+  TheHMC.Resources.SetRNGSeeds(RNGpar);
+
+Observables measured at the end of the trajectory can be registered::
+
+  // Construct observables
+  // here there is too much indirection 
+  typedef PlaquetteMod<HMCWrapper::ImplPolicy> PlaqObs;
+  TheHMC.Resources.AddObservable<PlaqObs>();
+
+The action must be defined::
+
+  RealD beta = 5.6 ;
+  WilsonGaugeActionR Waction(beta);
+
+  const int Ls = 8;
+  auto GridPtr   = TheHMC.Resources.GetCartesian();
+  auto GridRBPtr = TheHMC.Resources.GetRBCartesian();
+  auto FGrid     = SpaceTimeGrid::makeFiveDimGrid(Ls,GridPtr);
+  auto FrbGrid   = SpaceTimeGrid::makeFiveDimRedBlackGrid(Ls,GridPtr);
+
+  LatticeGaugeField U(GridPtr);
+
+  Real mass = 0.04;
+  Real pv   = 1.0;
+  RealD M5  = 1.5;
+
+  FermionAction DenOp(U,*FGrid,*FrbGrid,*GridPtr,*GridRBPtr,mass,M5);
+  FermionAction NumOp(U,*FGrid,*FrbGrid,*GridPtr,*GridRBPtr,pv,  M5);
+
+  double StoppingCondition = 1.0e-8;
+  double MaxCGIterations = 10000;
+  ConjugateGradient<FermionField>  CG(StoppingCondition,MaxCGIterations);
+  TwoFlavourEvenOddRatioPseudoFermionAction<FermionImplPolicy> Nf2(NumOp, DenOp,CG,CG);
+
+    // Set smearing (true/false), default: false
+  Nf2.is_smeared = false;
+
+  // Collect actions
+  ActionLevel<HMCWrapper::Field> Level1(1);
+  Level1.push_back(&Nf2);
+
+  ActionLevel<HMCWrapper::Field> Level2(4);
+  Level2.push_back(&Waction);
+
+  TheHMC.TheAction.push_back(Level1);
+  TheHMC.TheAction.push_back(Level2);
+
+And the HMC can be setup and run::
+
+  TheHMC.Parameters.MD.MDsteps = 20;
+  TheHMC.Parameters.MD.trajL   = 1.0;
+  TheHMC.ReadCommandLine(argc, argv); // these can be parameters from file
+
+  TheHMC.Run();  // no smearing
+
+This puts together the pieces of the previous sections (actions, Fermion operators, solver algorithms etc...) into a full application.
 
 Development of the internals
 ========================================
diff --git a/tests/hmc/Test_hmc_EODWFRatio.cc b/tests/hmc/Test_hmc_EODWFRatio.cc
index dc903f4d..9a755dd5 100644
--- a/tests/hmc/Test_hmc_EODWFRatio.cc
+++ b/tests/hmc/Test_hmc_EODWFRatio.cc
@@ -146,13 +146,7 @@ int main(int argc, char **argv) {
   std::cout << GridLogMessage << "Denominator report, Dw(m) term (includes CG) : " << std::endl;
   DenOp.Report();
 
-
-
-
   Grid_finalize();
 
-
-
-
 } // main
 

From 083af92ac28eff0bd666fce0430fda83b336868d Mon Sep 17 00:00:00 2001
From: Peter Boyle <peterboyle@Peters-MacBook-Pro.local>
Date: Thu, 27 Sep 2018 06:30:40 +0100
Subject: [PATCH 09/39] Update from chulwoo ; high level link for Grid.pdf in
 documentation

---
 documentation/Grid.pdf        |  1 +
 documentation/interfacing.rst | 79 +++++++++++++++++++++++++----------
 2 files changed, 57 insertions(+), 23 deletions(-)
 create mode 120000 documentation/Grid.pdf

diff --git a/documentation/Grid.pdf b/documentation/Grid.pdf
new file mode 120000
index 00000000..8e46564e
--- /dev/null
+++ b/documentation/Grid.pdf
@@ -0,0 +1 @@
+_build/latex/Grid.pdf
\ No newline at end of file
diff --git a/documentation/interfacing.rst b/documentation/interfacing.rst
index 5eddf059..0c303d26 100644
--- a/documentation/interfacing.rst
+++ b/documentation/interfacing.rst
@@ -27,15 +27,21 @@ Grid itself is initialized with a call::
 
   Grid_init(&argc, &argv);
 
-.. todo:: CD: Where are the command-line arguments explained above?
-	  
-where `argc` and `argv` are constructed to simulate the command-line
-options described above.  At a minimum one must provide the `--grid`
-and `--mpi` parameters.  The latter specifies the grid of processors
-(MPI ranks).
+Command line options include::
 
-The following Grid procedures are useful for verifying that Grid is
-properly initialized.
+  --mpi n.n.n.n   : default MPI decomposition
+  --threads n     : default number of OMP threads
+  --grid n.n.n.n  : default Grid size
+  
+where `argc` and `argv` are constructed to simulate the command-line
+options described above.  At a minimum one usually provides the
+`--grid` and `--mpi` parameters.  The former specifies the lattice
+dimensions and the latter specifies the grid of processors (MPI
+ranks).  If these parameters are not specified with the `Grid_init`
+call, they need to be supplied later when creating Grid fields.
+
+The following Grid procedures are useful for verifying that Grid
+"default" values are properly initialized.
 
 =============================================================   ===========================================================================================================
   Grid procedure                                                  returns 
@@ -52,10 +58,9 @@ MPI coordination
 
 Grid wants to use its own numbering of MPI ranks and its own
 assignment of the lattice coordinates with each rank.  Obviously, the
-calling program and Grid must agree on these conventions.  It is
-convenient to use Grid's Cartesian communicator class to discover the
-processor assignments. For a four-dimensional processor grid one can
-define::
+calling program and Grid must agree on these conventions.  One should
+use Grid's Cartesian communicator class to discover the processor
+assignments. For a four-dimensional processor grid one can define::
 
   static Grid::CartesianCommunicator *grid_cart = NULL;
   grid_cart = new Grid::CartesianCommunicator(processors);
@@ -96,14 +101,38 @@ index number of the subcommunicator.  Once this is done,::
 
 returns a rank that agrees with Grid's `peRank`.
 
+QMP coordination
+----------------
+
+If the calling program uses the SciDAC QMP message-passing package, a
+call to QMP_comm_split() instead can be used to reassign the ranks.
+In the example below, `peGrid` gives the processor-grid dimensions,
+usually set on the command line with `-qmp-geom`.
+
+**Example**::
+  
+  int NDIM = QMP_get_allocated_number_of_dimensions();
+  Grid::Grid_init(argc,argv);
+  FgridBase::grid_initted=true;
+  std::vector<int> processors;
+  for(int i=0;i<NDIM;i++) processors.push_back(peGrid[i]);
+  Grid::CartesianCommunicator grid_cart(processors);
+  std::vector<int> pePos(NDIM);
+  for(int i=NDIM-1;i>=0;i--)
+     pePos[i] = grid_cart._processor_coor[i];
+  int peRank = grid_cart->RankFromProcessorCoor(pePos);
+  QMP_comm_split(QMP_comm_get_default(),0,peRank,&qmp_comm);
+  QMP_comm_set_default(qmp_comm);
+
   
 Mapping fields between Grid and user layouts
 ---------------------------------------------
 
-In order to map data between layouts, it is important to know
-how the lattice sites are distributed across the processor grid.  A
-lattice site with coordinates `r[mu]` is assigned to the processor with
-processor coordinates `pePos[mu]` according to the rule::
+In order to map data between calling-program and Grid layouts, it is
+important to know how the lattice sites are distributed across the
+processor grid.  A lattice site with coordinates `r[mu]` is assigned
+to the processor with processor coordinates `pePos[mu]` according to
+the rule::
 
   pePos[mu] = r[mu]/dim[mu]
 
@@ -118,7 +147,7 @@ defined on the appropriate grid, whether it be a full lattice (4D
 `GridCartesian`), one of the checkerboards (4D
 `GridRedBlackCartesian`), a five-dimensional full grid (5D
 `GridCartesian`), or a five-dimensional checkerboard (5D
-`GridRedBlackCartesian`).  For example, an improved staggered fermion
+`GridRedBlackCartesian`).  For example, an improved staggered-fermion
 color-vector field `cv` on a single checkerboard would be constructed
 using
 
@@ -133,12 +162,16 @@ using
 
   typename ImprovedStaggeredFermion::FermionField  cv(RBGrid);
 
-To map data within an MPI rank, the external code must iterate over
-the sites belonging to that rank (full or checkerboard as
-appropriate).  To import data into Grid, the external data on a single
-site with coordinates `r` is first copied into the appropriate Grid
-scalar object `s`.  Then it is copied into the Grid lattice field `l`
-with `pokeLocalSite`::
+The example above assumes that the grid default values were set in the
+`Grid_init` call.  If not, they can be set at this point and passed
+when `GridCartesian` is instantiated here.  To map data within an MPI
+rank, the external code must iterate over the sites belonging to that
+rank (full or checkerboard as appropriate).  Note that the site
+coordinates are specified relative to the origin of the lattice
+subvolume on that rank. To import data into Grid, the external data on
+a single site with coordinates `r` is first copied into the
+appropriate Grid scalar object `s`.  Then it is copied into the Grid
+lattice field `l` with `pokeLocalSite`::
 
   pokeLocalSite(const sobj &s, Lattice<vobj> &l, Coordinate &r);
 

From 21b269d0f915644c465f464a2b3ab79e90357d57 Mon Sep 17 00:00:00 2001
From: Peter Boyle <peterboyle@Peters-MacBook-Pro.local>
Date: Thu, 27 Sep 2018 06:36:25 +0100
Subject: [PATCH 10/39]  Move the Grid.pdf out of a deep directory

---
 documentation/Grid.pdf              | Bin 21 -> 568974 bytes
 documentation/_build/latex/Grid.pdf | Bin 568974 -> 0 bytes
 2 files changed, 0 insertions(+), 0 deletions(-)
 mode change 120000 => 100644 documentation/Grid.pdf
 delete mode 100644 documentation/_build/latex/Grid.pdf

diff --git a/documentation/Grid.pdf b/documentation/Grid.pdf
deleted file mode 120000
index 8e46564e..00000000
--- a/documentation/Grid.pdf
+++ /dev/null
@@ -1 +0,0 @@
-_build/latex/Grid.pdf
\ No newline at end of file
diff --git a/documentation/Grid.pdf b/documentation/Grid.pdf
new file mode 100644
index 0000000000000000000000000000000000000000..8b9f2be13ef2079b1c009726e04d7e6dcdd6cab0
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A{Qv*}


From 7458c6174b536e2347354e23d6eea1302b0a4eeb Mon Sep 17 00:00:00 2001
From: Peter Boyle <peterboyle@Peters-MacBook-Pro.local>
Date: Thu, 27 Sep 2018 06:42:02 +0100
Subject: [PATCH 11/39] Use operator() for indexing internal indices

---
 documentation/interfacing.rst | 4 ++--
 1 file changed, 2 insertions(+), 2 deletions(-)

diff --git a/documentation/interfacing.rst b/documentation/interfacing.rst
index 0c303d26..79e44881 100644
--- a/documentation/interfacing.rst
+++ b/documentation/interfacing.rst
@@ -191,7 +191,7 @@ there to the lattice colour-vector field `cv`, as defined above.
   indexToCoords(idx,r);
   ColourVector cVec;
   for(int col=0; col<Nc; col++)
-      cVec._internal._internal._internal[col] = 
+      cVec()()(col) = 
           Complex(src[idx].c[col].real, src[idx].c[col].imag);
 
   pokeLocalSite(cVec, cv, r);
@@ -224,7 +224,7 @@ Grid 5D fermion field `cv5`.
       r5[0] = j;
       ColourVector cVec;
       for(int col=0; col<Nc; col++){
-	  cVec._internal._internal._internal[col] = 
+	  cVec()()(col) = 
 	      Complex(src[j][idx].c[col].real, src[j][idx].c[col].imag);
       }
       pokeLocalSite(cVec, *(out->cv), r5);

From f4116571181cf76379357b39be2b138710c855ea Mon Sep 17 00:00:00 2001
From: Antonin Portelli <antonin.portelli@me.com>
Date: Sat, 29 Sep 2018 15:48:05 +0100
Subject: [PATCH 12/39] JSON update

---
 Grid/json/json.hpp | 10960 +++++++++++++++++++++++++++++--------------
 1 file changed, 7565 insertions(+), 3395 deletions(-)

diff --git a/Grid/json/json.hpp b/Grid/json/json.hpp
index 9d589120..c8b0cc9e 100644
--- a/Grid/json/json.hpp
+++ b/Grid/json/json.hpp
@@ -1,11 +1,12 @@
 /*
     __ _____ _____ _____
  __|  |   __|     |   | |  JSON for Modern C++
-|  |  |__   |  |  | | | |  version 2.1.1
+|  |  |__   |  |  | | | |  version 3.2.0
 |_____|_____|_____|_|___|  https://github.com/nlohmann/json
 
 Licensed under the MIT License <http://opensource.org/licenses/MIT>.
-Copyright (c) 2013-2017 Niels Lohmann <http://nlohmann.me>.
+SPDX-License-Identifier: MIT
+Copyright (c) 2013-2018 Niels Lohmann <http://nlohmann.me>.
 
 Permission is hereby  granted, free of charge, to any  person obtaining a copy
 of this software and associated  documentation files (the "Software"), to deal
@@ -29,42 +30,104 @@ SOFTWARE.
 #ifndef NLOHMANN_JSON_HPP
 #define NLOHMANN_JSON_HPP
 
-#include <algorithm> // all_of, copy, fill, find, for_each, generate_n, none_of, remove, reverse, transform
-#include <array> // array
+#define NLOHMANN_JSON_VERSION_MAJOR 3
+#define NLOHMANN_JSON_VERSION_MINOR 2
+#define NLOHMANN_JSON_VERSION_PATCH 0
+
+#include <algorithm> // all_of, find, for_each
 #include <cassert> // assert
 #include <ciso646> // and, not, or
-#include <clocale> // lconv, localeconv
-#include <cmath> // isfinite, labs, ldexp, signbit
 #include <cstddef> // nullptr_t, ptrdiff_t, size_t
-#include <cstdint> // int64_t, uint64_t
-#include <cstdlib> // abort, strtod, strtof, strtold, strtoul, strtoll, strtoull
-#include <cstring> // memcpy, strlen
-#include <forward_list> // forward_list
-#include <functional> // function, hash, less
+#include <functional> // hash, less
 #include <initializer_list> // initializer_list
-#include <iomanip> // hex
-#include <iosfwd>   // istream, ostream
-#include <iterator> // advance, begin, back_inserter, bidirectional_iterator_tag, distance, end, inserter, iterator, iterator_traits, next, random_access_iterator_tag, reverse_iterator
-#include <limits> // numeric_limits
-#include <locale> // locale
-#include <map> // map
-#include <memory> // addressof, allocator, allocator_traits, unique_ptr
+#include <iosfwd> // istream, ostream
+#include <iterator> // iterator_traits, random_access_iterator_tag
 #include <numeric> // accumulate
-#include <sstream> // stringstream
-#include <string> // getline, stoi, string, to_string
-#include <type_traits> // add_pointer, conditional, decay, enable_if, false_type, integral_constant, is_arithmetic, is_base_of, is_const, is_constructible, is_convertible, is_default_constructible, is_enum, is_floating_point, is_integral, is_nothrow_move_assignable, is_nothrow_move_constructible, is_pointer, is_reference, is_same, is_scalar, is_signed, remove_const, remove_cv, remove_pointer, remove_reference, true_type, underlying_type
-#include <utility> // declval, forward, make_pair, move, pair, swap
-#include <valarray> // valarray
+#include <string> // string, stoi, to_string
+#include <utility> // declval, forward, move, pair, swap
+
+// #include <nlohmann/json_fwd.hpp>
+#ifndef NLOHMANN_JSON_FWD_HPP
+#define NLOHMANN_JSON_FWD_HPP
+
+#include <cstdint> // int64_t, uint64_t
+#include <map> // map
+#include <memory> // allocator
+#include <string> // string
 #include <vector> // vector
 
+/*!
+@brief namespace for Niels Lohmann
+@see https://github.com/nlohmann
+@since version 1.0.0
+*/
+namespace nlohmann
+{
+/*!
+@brief default JSONSerializer template argument
+
+This serializer ignores the template arguments and uses ADL
+([argument-dependent lookup](https://en.cppreference.com/w/cpp/language/adl))
+for serialization.
+*/
+template<typename T = void, typename SFINAE = void>
+struct adl_serializer;
+
+template<template<typename U, typename V, typename... Args> class ObjectType =
+         std::map,
+         template<typename U, typename... Args> class ArrayType = std::vector,
+         class StringType = std::string, class BooleanType = bool,
+         class NumberIntegerType = std::int64_t,
+         class NumberUnsignedType = std::uint64_t,
+         class NumberFloatType = double,
+         template<typename U> class AllocatorType = std::allocator,
+         template<typename T, typename SFINAE = void> class JSONSerializer =
+         adl_serializer>
+class basic_json;
+
+/*!
+@brief JSON Pointer
+
+A JSON pointer defines a string syntax for identifying a specific value
+within a JSON document. It can be used with functions `at` and
+`operator[]`. Furthermore, JSON pointers are the base for JSON patches.
+
+@sa [RFC 6901](https://tools.ietf.org/html/rfc6901)
+
+@since version 2.0.0
+*/
+template<typename BasicJsonType>
+class json_pointer;
+
+/*!
+@brief default JSON class
+
+This type is the default specialization of the @ref basic_json class which
+uses the standard template types.
+
+@since version 1.0.0
+*/
+using json = basic_json<>;
+}
+
+#endif
+
+// #include <nlohmann/detail/macro_scope.hpp>
+
+
+// This file contains all internal macro definitions
+// You MUST include macro_unscope.hpp at the end of json.hpp to undef all of them
+
 // exclude unsupported compilers
-#if defined(__clang__)
-    #if (__clang_major__ * 10000 + __clang_minor__ * 100 + __clang_patchlevel__) < 30400
-        #error "unsupported Clang version - see https://github.com/nlohmann/json#supported-compilers"
-    #endif
-#elif defined(__GNUC__)
-    #if (__GNUC__ * 10000 + __GNUC_MINOR__ * 100 + __GNUC_PATCHLEVEL__) < 40805
-        #error "unsupported GCC version - see https://github.com/nlohmann/json#supported-compilers"
+#if !defined(JSON_SKIP_UNSUPPORTED_COMPILER_CHECK)
+    #if defined(__clang__)
+        #if (__clang_major__ * 10000 + __clang_minor__ * 100 + __clang_patchlevel__) < 30400
+            #error "unsupported Clang version - see https://github.com/nlohmann/json#supported-compilers"
+        #endif
+    #elif defined(__GNUC__) && !(defined(__ICC) || defined(__INTEL_COMPILER))
+        #if (__GNUC__ * 10000 + __GNUC_MINOR__ * 100 + __GNUC_PATCHLEVEL__) < 40800
+            #error "unsupported GCC version - see https://github.com/nlohmann/json#supported-compilers"
+        #endif
     #endif
 #endif
 
@@ -90,14 +153,36 @@ SOFTWARE.
 #endif
 
 // allow to disable exceptions
-#if (defined(__cpp_exceptions) || defined(__EXCEPTIONS) || defined(_CPPUNWIND)) && not defined(JSON_NOEXCEPTION)
+#if (defined(__cpp_exceptions) || defined(__EXCEPTIONS) || defined(_CPPUNWIND)) && !defined(JSON_NOEXCEPTION)
     #define JSON_THROW(exception) throw exception
     #define JSON_TRY try
     #define JSON_CATCH(exception) catch(exception)
+    #define JSON_INTERNAL_CATCH(exception) catch(exception)
 #else
     #define JSON_THROW(exception) std::abort()
     #define JSON_TRY if(true)
     #define JSON_CATCH(exception) if(false)
+    #define JSON_INTERNAL_CATCH(exception) if(false)
+#endif
+
+// override exception macros
+#if defined(JSON_THROW_USER)
+    #undef JSON_THROW
+    #define JSON_THROW JSON_THROW_USER
+#endif
+#if defined(JSON_TRY_USER)
+    #undef JSON_TRY
+    #define JSON_TRY JSON_TRY_USER
+#endif
+#if defined(JSON_CATCH_USER)
+    #undef JSON_CATCH
+    #define JSON_CATCH JSON_CATCH_USER
+    #undef JSON_INTERNAL_CATCH
+    #define JSON_INTERNAL_CATCH JSON_CATCH_USER
+#endif
+#if defined(JSON_INTERNAL_CATCH_USER)
+    #undef JSON_INTERNAL_CATCH
+    #define JSON_INTERNAL_CATCH JSON_INTERNAL_CATCH_USER
 #endif
 
 // manual branch prediction
@@ -109,31 +194,16 @@ SOFTWARE.
     #define JSON_UNLIKELY(x)    x
 #endif
 
-/*!
-@brief namespace for Niels Lohmann
-@see https://github.com/nlohmann
-@since version 1.0.0
-*/
-namespace nlohmann
-{
-template<typename = void, typename = void>
-struct adl_serializer;
+// C++ language standard detection
+#if (defined(__cplusplus) && __cplusplus >= 201703L) || (defined(_HAS_CXX17) && _HAS_CXX17 == 1) // fix for issue #464
+    #define JSON_HAS_CPP_17
+    #define JSON_HAS_CPP_14
+#elif (defined(__cplusplus) && __cplusplus >= 201402L) || (defined(_HAS_CXX14) && _HAS_CXX14 == 1)
+    #define JSON_HAS_CPP_14
+#endif
 
-// forward declaration of basic_json (required to split the class)
-template<template<typename U, typename V, typename... Args> class ObjectType =
-         std::map,
-         template<typename U, typename... Args> class ArrayType = std::vector,
-         class StringType = std::string, class BooleanType = bool,
-         class NumberIntegerType = std::int64_t,
-         class NumberUnsignedType = std::uint64_t,
-         class NumberFloatType = double,
-         template<typename U> class AllocatorType = std::allocator,
-         template<typename T, typename SFINAE = void> class JSONSerializer =
-         adl_serializer>
-class basic_json;
-
-// Ugly macros to avoid uglier copy-paste when specializing basic_json
-// This is only temporary and will be removed in 3.0
+// Ugly macros to avoid uglier copy-paste when specializing basic_json. They
+// may be removed in the future once the class is split.
 
 #define NLOHMANN_BASIC_JSON_TPL_DECLARATION                                \
     template<template<typename, typename, typename...> class ObjectType,   \
@@ -148,17 +218,409 @@ class basic_json;
     NumberIntegerType, NumberUnsignedType, NumberFloatType,                \
     AllocatorType, JSONSerializer>
 
+// #include <nlohmann/detail/meta/cpp_future.hpp>
 
+
+#include <ciso646> // not
+#include <cstddef> // size_t
+#include <type_traits> // conditional, enable_if, false_type, integral_constant, is_constructible, is_integral, is_same, remove_cv, remove_reference, true_type
+
+namespace nlohmann
+{
+namespace detail
+{
+// alias templates to reduce boilerplate
+template<bool B, typename T = void>
+using enable_if_t = typename std::enable_if<B, T>::type;
+
+template<typename T>
+using uncvref_t = typename std::remove_cv<typename std::remove_reference<T>::type>::type;
+
+// implementation of C++14 index_sequence and affiliates
+// source: https://stackoverflow.com/a/32223343
+template<std::size_t... Ints>
+struct index_sequence
+{
+    using type = index_sequence;
+    using value_type = std::size_t;
+    static constexpr std::size_t size() noexcept
+    {
+        return sizeof...(Ints);
+    }
+};
+
+template<class Sequence1, class Sequence2>
+struct merge_and_renumber;
+
+template<std::size_t... I1, std::size_t... I2>
+struct merge_and_renumber<index_sequence<I1...>, index_sequence<I2...>>
+        : index_sequence < I1..., (sizeof...(I1) + I2)... > {};
+
+template<std::size_t N>
+struct make_index_sequence
+    : merge_and_renumber < typename make_index_sequence < N / 2 >::type,
+      typename make_index_sequence < N - N / 2 >::type > {};
+
+template<> struct make_index_sequence<0> : index_sequence<> {};
+template<> struct make_index_sequence<1> : index_sequence<0> {};
+
+template<typename... Ts>
+using index_sequence_for = make_index_sequence<sizeof...(Ts)>;
+
+// dispatch utility (taken from ranges-v3)
+template<unsigned N> struct priority_tag : priority_tag < N - 1 > {};
+template<> struct priority_tag<0> {};
+
+// taken from ranges-v3
+template<typename T>
+struct static_const
+{
+    static constexpr T value{};
+};
+
+template<typename T>
+constexpr T static_const<T>::value;
+}
+}
+
+// #include <nlohmann/detail/meta/type_traits.hpp>
+
+
+#include <ciso646> // not
+#include <limits> // numeric_limits
+#include <type_traits> // false_type, is_constructible, is_integral, is_same, true_type
+#include <utility> // declval
+
+// #include <nlohmann/json_fwd.hpp>
+
+// #include <nlohmann/detail/meta/cpp_future.hpp>
+
+// #include <nlohmann/detail/meta/detected.hpp>
+
+
+#include <type_traits>
+
+// #include <nlohmann/detail/meta/void_t.hpp>
+
+
+namespace nlohmann
+{
+namespace detail
+{
+template <typename ...Ts> struct make_void
+{
+    using type = void;
+};
+template <typename ...Ts> using void_t = typename make_void<Ts...>::type;
+}
+}
+
+
+// http://en.cppreference.com/w/cpp/experimental/is_detected
+namespace nlohmann
+{
+namespace detail
+{
+struct nonesuch
+{
+    nonesuch() = delete;
+    ~nonesuch() = delete;
+    nonesuch(nonesuch const&) = delete;
+    void operator=(nonesuch const&) = delete;
+};
+
+template <class Default,
+          class AlwaysVoid,
+          template <class...> class Op,
+          class... Args>
+struct detector
+{
+    using value_t = std::false_type;
+    using type = Default;
+};
+
+template <class Default, template <class...> class Op, class... Args>
+struct detector<Default, void_t<Op<Args...>>, Op, Args...>
+{
+    using value_t = std::true_type;
+    using type = Op<Args...>;
+};
+
+template <template <class...> class Op, class... Args>
+using is_detected = typename detector<nonesuch, void, Op, Args...>::value_t;
+
+template <template <class...> class Op, class... Args>
+using detected_t = typename detector<nonesuch, void, Op, Args...>::type;
+
+template <class Default, template <class...> class Op, class... Args>
+using detected_or = detector<Default, void, Op, Args...>;
+
+template <class Default, template <class...> class Op, class... Args>
+using detected_or_t = typename detected_or<Default, Op, Args...>::type;
+
+template <class Expected, template <class...> class Op, class... Args>
+using is_detected_exact = std::is_same<Expected, detected_t<Op, Args...>>;
+
+template <class To, template <class...> class Op, class... Args>
+using is_detected_convertible =
+    std::is_convertible<detected_t<Op, Args...>, To>;
+}
+}
+
+// #include <nlohmann/detail/macro_scope.hpp>
+
+
+namespace nlohmann
+{
 /*!
-@brief unnamed namespace with internal helper functions
+@brief detail namespace with internal helper functions
 
-This namespace collects some functions that could not be defined inside the
-@ref basic_json class.
+This namespace collects functions that should not be exposed,
+implementations of some @ref basic_json methods, and meta-programming helpers.
 
 @since version 2.1.0
 */
 namespace detail
 {
+/////////////
+// helpers //
+/////////////
+
+template<typename> struct is_basic_json : std::false_type {};
+
+NLOHMANN_BASIC_JSON_TPL_DECLARATION
+struct is_basic_json<NLOHMANN_BASIC_JSON_TPL> : std::true_type {};
+
+//////////////////////////
+// aliases for detected //
+//////////////////////////
+
+template <typename T>
+using mapped_type_t = typename T::mapped_type;
+
+template <typename T>
+using key_type_t = typename T::key_type;
+
+template <typename T>
+using value_type_t = typename T::value_type;
+
+template <typename T>
+using difference_type_t = typename T::difference_type;
+
+template <typename T>
+using pointer_t = typename T::pointer;
+
+template <typename T>
+using reference_t = typename T::reference;
+
+template <typename T>
+using iterator_category_t = typename T::iterator_category;
+
+template <typename T>
+using iterator_t = typename T::iterator;
+
+template <typename T, typename... Args>
+using to_json_function = decltype(T::to_json(std::declval<Args>()...));
+
+template <typename T, typename... Args>
+using from_json_function = decltype(T::from_json(std::declval<Args>()...));
+
+template <typename T, typename U>
+using get_template_function = decltype(std::declval<T>().template get<U>());
+
+///////////////////
+// is_ functions //
+///////////////////
+
+template <typename T, typename = void>
+struct is_iterator_traits : std::false_type {};
+
+template <typename T>
+struct is_iterator_traits<std::iterator_traits<T>>
+{
+  private:
+    using traits = std::iterator_traits<T>;
+
+  public:
+    static constexpr auto value =
+        is_detected<value_type_t, traits>::value &&
+        is_detected<difference_type_t, traits>::value &&
+        is_detected<pointer_t, traits>::value &&
+        is_detected<iterator_category_t, traits>::value &&
+        is_detected<reference_t, traits>::value;
+};
+
+// source: https://stackoverflow.com/a/37193089/4116453
+
+template <typename T, typename = void>
+struct is_complete_type : std::false_type {};
+
+template <typename T>
+struct is_complete_type<T, decltype(void(sizeof(T)))> : std::true_type {};
+
+template <typename BasicJsonType, typename CompatibleObjectType,
+          typename = void>
+struct is_compatible_object_type_impl : std::false_type {};
+
+template <typename BasicJsonType, typename CompatibleObjectType>
+struct is_compatible_object_type_impl <
+    BasicJsonType, CompatibleObjectType,
+    enable_if_t<is_detected<mapped_type_t, CompatibleObjectType>::value and
+    is_detected<key_type_t, CompatibleObjectType>::value >>
+{
+
+    using object_t = typename BasicJsonType::object_t;
+
+    // macOS's is_constructible does not play well with nonesuch...
+    static constexpr bool value =
+        std::is_constructible<typename object_t::key_type,
+        typename CompatibleObjectType::key_type>::value and
+        std::is_constructible<typename object_t::mapped_type,
+        typename CompatibleObjectType::mapped_type>::value;
+};
+
+template <typename BasicJsonType, typename CompatibleObjectType>
+struct is_compatible_object_type
+    : is_compatible_object_type_impl<BasicJsonType, CompatibleObjectType> {};
+
+template <typename BasicJsonType, typename CompatibleStringType,
+          typename = void>
+struct is_compatible_string_type_impl : std::false_type {};
+
+template <typename BasicJsonType, typename CompatibleStringType>
+struct is_compatible_string_type_impl <
+    BasicJsonType, CompatibleStringType,
+    enable_if_t<is_detected_exact<typename BasicJsonType::string_t::value_type,
+    value_type_t, CompatibleStringType>::value >>
+{
+    static constexpr auto value =
+        std::is_constructible<typename BasicJsonType::string_t, CompatibleStringType>::value;
+};
+
+template <typename BasicJsonType, typename CompatibleStringType>
+struct is_compatible_string_type
+    : is_compatible_string_type_impl<BasicJsonType, CompatibleStringType> {};
+
+template <typename BasicJsonType, typename CompatibleArrayType, typename = void>
+struct is_compatible_array_type_impl : std::false_type {};
+
+template <typename BasicJsonType, typename CompatibleArrayType>
+struct is_compatible_array_type_impl <
+    BasicJsonType, CompatibleArrayType,
+    enable_if_t<is_detected<value_type_t, CompatibleArrayType>::value and
+    is_detected<iterator_t, CompatibleArrayType>::value >>
+{
+    // This is needed because json_reverse_iterator has a ::iterator type...
+    // Therefore it is detected as a CompatibleArrayType.
+    // The real fix would be to have an Iterable concept.
+    static constexpr bool value = not is_iterator_traits<std::iterator_traits<CompatibleArrayType>>::value;
+};
+
+template <typename BasicJsonType, typename CompatibleArrayType>
+struct is_compatible_array_type
+    : is_compatible_array_type_impl<BasicJsonType, CompatibleArrayType> {};
+
+template <typename RealIntegerType, typename CompatibleNumberIntegerType,
+          typename = void>
+struct is_compatible_integer_type_impl : std::false_type {};
+
+template <typename RealIntegerType, typename CompatibleNumberIntegerType>
+struct is_compatible_integer_type_impl <
+    RealIntegerType, CompatibleNumberIntegerType,
+    enable_if_t<std::is_integral<RealIntegerType>::value and
+    std::is_integral<CompatibleNumberIntegerType>::value and
+    not std::is_same<bool, CompatibleNumberIntegerType>::value >>
+{
+    // is there an assert somewhere on overflows?
+    using RealLimits = std::numeric_limits<RealIntegerType>;
+    using CompatibleLimits = std::numeric_limits<CompatibleNumberIntegerType>;
+
+    static constexpr auto value =
+        std::is_constructible<RealIntegerType,
+        CompatibleNumberIntegerType>::value and
+        CompatibleLimits::is_integer and
+        RealLimits::is_signed == CompatibleLimits::is_signed;
+};
+
+template <typename RealIntegerType, typename CompatibleNumberIntegerType>
+struct is_compatible_integer_type
+    : is_compatible_integer_type_impl<RealIntegerType,
+      CompatibleNumberIntegerType> {};
+
+// trait checking if JSONSerializer<T>::from_json(json const&, udt&) exists
+template <typename BasicJsonType, typename T, typename = void>
+struct has_from_json : std::false_type {};
+
+template <typename BasicJsonType, typename T>
+struct has_from_json<BasicJsonType, T,
+           enable_if_t<not is_basic_json<T>::value>>
+{
+    using serializer = typename BasicJsonType::template json_serializer<T, void>;
+
+    static constexpr bool value =
+        is_detected_exact<void, from_json_function, serializer,
+        const BasicJsonType&, T&>::value;
+};
+
+// This trait checks if JSONSerializer<T>::from_json(json const&) exists
+// this overload is used for non-default-constructible user-defined-types
+template <typename BasicJsonType, typename T, typename = void>
+struct has_non_default_from_json : std::false_type {};
+
+template<typename BasicJsonType, typename T>
+struct has_non_default_from_json<BasicJsonType, T, enable_if_t<not is_basic_json<T>::value>>
+{
+    using serializer = typename BasicJsonType::template json_serializer<T, void>;
+
+    static constexpr bool value =
+        is_detected_exact<T, from_json_function, serializer,
+        const BasicJsonType&>::value;
+};
+
+// This trait checks if BasicJsonType::json_serializer<T>::to_json exists
+// Do not evaluate the trait when T is a basic_json type, to avoid template instantiation infinite recursion.
+template <typename BasicJsonType, typename T, typename = void>
+struct has_to_json : std::false_type {};
+
+template <typename BasicJsonType, typename T>
+struct has_to_json<BasicJsonType, T, enable_if_t<not is_basic_json<T>::value>>
+{
+    using serializer = typename BasicJsonType::template json_serializer<T, void>;
+
+    static constexpr bool value =
+        is_detected_exact<void, to_json_function, serializer, BasicJsonType&,
+        T>::value;
+};
+
+template <typename BasicJsonType, typename CompatibleType, typename = void>
+struct is_compatible_type_impl: std::false_type {};
+
+template <typename BasicJsonType, typename CompatibleType>
+struct is_compatible_type_impl <
+    BasicJsonType, CompatibleType,
+    enable_if_t<is_complete_type<CompatibleType>::value >>
+{
+    static constexpr bool value =
+        has_to_json<BasicJsonType, CompatibleType>::value;
+};
+
+template <typename BasicJsonType, typename CompatibleType>
+struct is_compatible_type
+    : is_compatible_type_impl<BasicJsonType, CompatibleType> {};
+}
+}
+
+// #include <nlohmann/detail/exceptions.hpp>
+
+
+#include <exception> // exception
+#include <stdexcept> // runtime_error
+#include <string> // to_string
+
+namespace nlohmann
+{
+namespace detail
+{
 ////////////////
 // exceptions //
 ////////////////
@@ -206,9 +668,9 @@ class exception : public std::exception
   protected:
     exception(int id_, const char* what_arg) : id(id_), m(what_arg) {}
 
-    static std::string name(const std::string& ename, int id)
+    static std::string name(const std::string& ename, int id_)
     {
-        return "[json.exception." + ename + "." + std::to_string(id) + "] ";
+        return "[json.exception." + ename + "." + std::to_string(id_) + "] ";
     }
 
   private:
@@ -219,7 +681,7 @@ class exception : public std::exception
 /*!
 @brief exception indicating a parse error
 
-This excpetion is thrown by the library when a parse error occurs. Parse errors
+This exception is thrown by the library when a parse error occurs. Parse errors
 can occur during the deserialization of JSON text, CBOR, MessagePack, as well
 as when using JSON Patch.
 
@@ -235,12 +697,12 @@ json.exception.parse_error.102 | parse error at 14: missing or wrong low surroga
 json.exception.parse_error.103 | parse error: code points above 0x10FFFF are invalid | Unicode supports code points up to 0x10FFFF. Code points above 0x10FFFF are invalid.
 json.exception.parse_error.104 | parse error: JSON patch must be an array of objects | [RFC 6902](https://tools.ietf.org/html/rfc6902) requires a JSON Patch document to be a JSON document that represents an array of objects.
 json.exception.parse_error.105 | parse error: operation must have string member 'op' | An operation of a JSON Patch document must contain exactly one "op" member, whose value indicates the operation to perform. Its value must be one of "add", "remove", "replace", "move", "copy", or "test"; other values are errors.
-json.exception.parse_error.106 | parse error: array index '01' must not begin with '0' | An array index in a JSON Pointer ([RFC 6901](https://tools.ietf.org/html/rfc6901)) may be `0` or any number wihtout a leading `0`.
+json.exception.parse_error.106 | parse error: array index '01' must not begin with '0' | An array index in a JSON Pointer ([RFC 6901](https://tools.ietf.org/html/rfc6901)) may be `0` or any number without a leading `0`.
 json.exception.parse_error.107 | parse error: JSON pointer must be empty or begin with '/' - was: 'foo' | A JSON Pointer must be a Unicode string containing a sequence of zero or more reference tokens, each prefixed by a `/` character.
 json.exception.parse_error.108 | parse error: escape character '~' must be followed with '0' or '1' | In a JSON Pointer, only `~0` and `~1` are valid escape sequences.
 json.exception.parse_error.109 | parse error: array index 'one' is not a number | A JSON Pointer array index must be a number.
 json.exception.parse_error.110 | parse error at 1: cannot read 2 bytes from vector | When parsing CBOR or MessagePack, the byte vector ends before the complete value has been read.
-json.exception.parse_error.112 | parse error at 1: error reading CBOR; last byte: 0xf8 | Not all types of CBOR or MessagePack are supported. This exception occurs if an unsupported byte was read.
+json.exception.parse_error.112 | parse error at 1: error reading CBOR; last byte: 0xF8 | Not all types of CBOR or MessagePack are supported. This exception occurs if an unsupported byte was read.
 json.exception.parse_error.113 | parse error at 2: expected a CBOR string; last byte: 0x98 | While parsing a map key, a value that is not a string has been read.
 
 @note For an input with n bytes, 1 is the index of the first character and n+1
@@ -264,18 +726,18 @@ class parse_error : public exception
   public:
     /*!
     @brief create a parse error exception
-    @param[in] id        the id of the exception
+    @param[in] id_       the id of the exception
     @param[in] byte_     the byte index where the error occurred (or 0 if the
                          position cannot be determined)
     @param[in] what_arg  the explanatory string
     @return parse_error object
     */
-    static parse_error create(int id, std::size_t byte_, const std::string& what_arg)
+    static parse_error create(int id_, std::size_t byte_, const std::string& what_arg)
     {
-        std::string w = exception::name("parse_error", id) + "parse error" +
+        std::string w = exception::name("parse_error", id_) + "parse error" +
                         (byte_ != 0 ? (" at " + std::to_string(byte_)) : "") +
                         ": " + what_arg;
-        return parse_error(id, byte_, w.c_str());
+        return parse_error(id_, byte_, w.c_str());
     }
 
     /*!
@@ -334,10 +796,10 @@ caught.,invalid_iterator}
 class invalid_iterator : public exception
 {
   public:
-    static invalid_iterator create(int id, const std::string& what_arg)
+    static invalid_iterator create(int id_, const std::string& what_arg)
     {
-        std::string w = exception::name("invalid_iterator", id) + what_arg;
-        return invalid_iterator(id, w.c_str());
+        std::string w = exception::name("invalid_iterator", id_) + what_arg;
+        return invalid_iterator(id_, w.c_str());
     }
 
   private:
@@ -370,6 +832,7 @@ json.exception.type_error.312 | cannot use update() with string | The @ref updat
 json.exception.type_error.313 | invalid value to unflatten | The @ref unflatten function converts an object whose keys are JSON Pointers back into an arbitrary nested JSON value. The JSON Pointers must not overlap, because then the resulting value would not be well defined.
 json.exception.type_error.314 | only objects can be unflattened | The @ref unflatten function only works for an object whose keys are JSON Pointers.
 json.exception.type_error.315 | values in object must be primitive | The @ref unflatten function only works for an object whose keys are JSON Pointers and whose values are primitive.
+json.exception.type_error.316 | invalid UTF-8 byte at index 10: 0x7E | The @ref dump function only works with UTF-8 encoded strings; that is, if you assign a `std::string` to a JSON value, make sure it is UTF-8 encoded. |
 
 @liveexample{The following code shows how a `type_error` exception can be
 caught.,type_error}
@@ -385,10 +848,10 @@ caught.,type_error}
 class type_error : public exception
 {
   public:
-    static type_error create(int id, const std::string& what_arg)
+    static type_error create(int id_, const std::string& what_arg)
     {
-        std::string w = exception::name("type_error", id) + what_arg;
-        return type_error(id, w.c_str());
+        std::string w = exception::name("type_error", id_) + what_arg;
+        return type_error(id_, w.c_str());
     }
 
   private:
@@ -412,6 +875,8 @@ json.exception.out_of_range.403 | key 'foo' not found | The provided key was not
 json.exception.out_of_range.404 | unresolved reference token 'foo' | A reference token in a JSON Pointer could not be resolved.
 json.exception.out_of_range.405 | JSON pointer has no parent | The JSON Patch operations 'remove' and 'add' can not be applied to the root element of the JSON value.
 json.exception.out_of_range.406 | number overflow parsing '10E1000' | A parsed number could not be stored as without changing it to NaN or INF.
+json.exception.out_of_range.407 | number overflow serializing '9223372036854775808' | UBJSON only supports integers numbers up to 9223372036854775807. |
+json.exception.out_of_range.408 | excessive array size: 8658170730974374167 | The size (following `#`) of an UBJSON array or object exceeds the maximal capacity. |
 
 @liveexample{The following code shows how an `out_of_range` exception can be
 caught.,out_of_range}
@@ -428,10 +893,10 @@ caught.,out_of_range}
 class out_of_range : public exception
 {
   public:
-    static out_of_range create(int id, const std::string& what_arg)
+    static out_of_range create(int id_, const std::string& what_arg)
     {
-        std::string w = exception::name("out_of_range", id) + what_arg;
-        return out_of_range(id, w.c_str());
+        std::string w = exception::name("out_of_range", id_) + what_arg;
+        return out_of_range(id_, w.c_str());
     }
 
   private:
@@ -449,7 +914,6 @@ Exceptions have ids 5xx.
 name / id                      | example message | description
 ------------------------------ | --------------- | -------------------------
 json.exception.other_error.501 | unsuccessful: {"op":"test","path":"/baz", "value":"bar"} | A JSON Patch operation 'test' failed. The unsuccessful operation is also printed.
-json.exception.other_error.502 | invalid object size for conversion | Some conversions to user-defined types impose constraints on the object size (e.g. std::pair)
 
 @sa @ref exception for the base class of the library exceptions
 @sa @ref parse_error for exceptions indicating a parse error
@@ -466,18 +930,30 @@ caught.,other_error}
 class other_error : public exception
 {
   public:
-    static other_error create(int id, const std::string& what_arg)
+    static other_error create(int id_, const std::string& what_arg)
     {
-        std::string w = exception::name("other_error", id) + what_arg;
-        return other_error(id, w.c_str());
+        std::string w = exception::name("other_error", id_) + what_arg;
+        return other_error(id_, w.c_str());
     }
 
   private:
     other_error(int id_, const char* what_arg) : exception(id_, what_arg) {}
 };
+}
+}
+
+// #include <nlohmann/detail/value_t.hpp>
 
 
+#include <array> // array
+#include <ciso646> // and
+#include <cstddef> // size_t
+#include <cstdint> // uint8_t
 
+namespace nlohmann
+{
+namespace detail
+{
 ///////////////////////////
 // JSON type enumeration //
 ///////////////////////////
@@ -506,7 +982,7 @@ value with the default value for a given type
 
 @since version 1.0.0
 */
-enum class value_t : uint8_t
+enum class value_t : std::uint8_t
 {
     null,             ///< null value
     object,           ///< object (unordered set of name/value pairs)
@@ -525,562 +1001,70 @@ enum class value_t : uint8_t
 Returns an ordering that is similar to Python:
 - order: null < boolean < number < object < array < string
 - furthermore, each type is not smaller than itself
+- discarded values are not comparable
 
 @since version 1.0.0
 */
 inline bool operator<(const value_t lhs, const value_t rhs) noexcept
 {
-    static constexpr std::array<uint8_t, 8> order = {{
-            0, // null
-            3, // object
-            4, // array
-            5, // string
-            1, // boolean
-            2, // integer
-            2, // unsigned
-            2, // float
+    static constexpr std::array<std::uint8_t, 8> order = {{
+            0 /* null */, 3 /* object */, 4 /* array */, 5 /* string */,
+            1 /* boolean */, 2 /* integer */, 2 /* unsigned */, 2 /* float */
         }
     };
 
-    // discarded values are not comparable
-    return lhs != value_t::discarded and rhs != value_t::discarded and
-           order[static_cast<std::size_t>(lhs)] < order[static_cast<std::size_t>(rhs)];
+    const auto l_index = static_cast<std::size_t>(lhs);
+    const auto r_index = static_cast<std::size_t>(rhs);
+    return l_index < order.size() and r_index < order.size() and order[l_index] < order[r_index];
+}
+}
 }
 
+// #include <nlohmann/detail/conversions/from_json.hpp>
 
-/////////////
-// helpers //
-/////////////
 
-template<typename> struct is_basic_json : std::false_type {};
+#include <algorithm> // transform
+#include <array> // array
+#include <ciso646> // and, not
+#include <forward_list> // forward_list
+#include <iterator> // inserter, front_inserter, end
+#include <map> // map
+#include <string> // string
+#include <tuple> // tuple, make_tuple
+#include <type_traits> // is_arithmetic, is_same, is_enum, underlying_type, is_convertible
+#include <unordered_map> // unordered_map
+#include <utility> // pair, declval
+#include <valarray> // valarray
 
-NLOHMANN_BASIC_JSON_TPL_DECLARATION
-struct is_basic_json<NLOHMANN_BASIC_JSON_TPL> : std::true_type {};
+// #include <nlohmann/detail/exceptions.hpp>
 
-// alias templates to reduce boilerplate
-template<bool B, typename T = void>
-using enable_if_t = typename std::enable_if<B, T>::type;
+// #include <nlohmann/detail/macro_scope.hpp>
 
-template<typename T>
-using uncvref_t = typename std::remove_cv<typename std::remove_reference<T>::type>::type;
+// #include <nlohmann/detail/meta/cpp_future.hpp>
 
-// implementation of C++14 index_sequence and affiliates
-// source: https://stackoverflow.com/a/32223343
-template<std::size_t... Ints>
-struct index_sequence
+// #include <nlohmann/detail/meta/type_traits.hpp>
+
+// #include <nlohmann/detail/value_t.hpp>
+
+
+namespace nlohmann
 {
-    using type = index_sequence;
-    using value_type = std::size_t;
-    static constexpr std::size_t size() noexcept
-    {
-        return sizeof...(Ints);
-    }
-};
-
-template<class Sequence1, class Sequence2>
-struct merge_and_renumber;
-
-template<std::size_t... I1, std::size_t... I2>
-struct merge_and_renumber<index_sequence<I1...>, index_sequence<I2...>>
-        : index_sequence < I1..., (sizeof...(I1) + I2)... >
-          {};
-
-template<std::size_t N>
-struct make_index_sequence
-    : merge_and_renumber < typename make_index_sequence < N / 2 >::type,
-      typename make_index_sequence < N - N / 2 >::type >
-{};
-
-template<> struct make_index_sequence<0> : index_sequence<> { };
-template<> struct make_index_sequence<1> : index_sequence<0> { };
-
-template<typename... Ts>
-using index_sequence_for = make_index_sequence<sizeof...(Ts)>;
-
-/*
-Implementation of two C++17 constructs: conjunction, negation. This is needed
-to avoid evaluating all the traits in a condition
-
-For example: not std::is_same<void, T>::value and has_value_type<T>::value
-will not compile when T = void (on MSVC at least). Whereas
-conjunction<negation<std::is_same<void, T>>, has_value_type<T>>::value will
-stop evaluating if negation<...>::value == false
-
-Please note that those constructs must be used with caution, since symbols can
-become very long quickly (which can slow down compilation and cause MSVC
-internal compiler errors). Only use it when you have to (see example ahead).
-*/
-template<class...> struct conjunction : std::true_type {};
-template<class B1> struct conjunction<B1> : B1 {};
-template<class B1, class... Bn>
-struct conjunction<B1, Bn...> : std::conditional<bool(B1::value), conjunction<Bn...>, B1>::type {};
-
-template<class B> struct negation : std::integral_constant < bool, !B::value > {};
-
-// dispatch utility (taken from ranges-v3)
-template<unsigned N> struct priority_tag : priority_tag < N - 1 > {};
-template<> struct priority_tag<0> {};
-
-
-//////////////////
-// constructors //
-//////////////////
-
-template<value_t> struct external_constructor;
-
-template<>
-struct external_constructor<value_t::boolean>
+namespace detail
 {
-    template<typename BasicJsonType>
-    static void construct(BasicJsonType& j, typename BasicJsonType::boolean_t b) noexcept
-    {
-        j.m_type = value_t::boolean;
-        j.m_value = b;
-        j.assert_invariant();
-    }
-};
-
-template<>
-struct external_constructor<value_t::string>
-{
-    template<typename BasicJsonType>
-    static void construct(BasicJsonType& j, const typename BasicJsonType::string_t& s)
-    {
-        j.m_type = value_t::string;
-        j.m_value = s;
-        j.assert_invariant();
-    }
-
-    template<typename BasicJsonType>
-    static void construct(BasicJsonType& j, typename BasicJsonType::string_t&& s)
-    {
-        j.m_type = value_t::string;
-        j.m_value = std::move(s);
-        j.assert_invariant();
-    }
-};
-
-template<>
-struct external_constructor<value_t::number_float>
-{
-    template<typename BasicJsonType>
-    static void construct(BasicJsonType& j, typename BasicJsonType::number_float_t val) noexcept
-    {
-        j.m_type = value_t::number_float;
-        j.m_value = val;
-        j.assert_invariant();
-    }
-};
-
-template<>
-struct external_constructor<value_t::number_unsigned>
-{
-    template<typename BasicJsonType>
-    static void construct(BasicJsonType& j, typename BasicJsonType::number_unsigned_t val) noexcept
-    {
-        j.m_type = value_t::number_unsigned;
-        j.m_value = val;
-        j.assert_invariant();
-    }
-};
-
-template<>
-struct external_constructor<value_t::number_integer>
-{
-    template<typename BasicJsonType>
-    static void construct(BasicJsonType& j, typename BasicJsonType::number_integer_t val) noexcept
-    {
-        j.m_type = value_t::number_integer;
-        j.m_value = val;
-        j.assert_invariant();
-    }
-};
-
-template<>
-struct external_constructor<value_t::array>
-{
-    template<typename BasicJsonType>
-    static void construct(BasicJsonType& j, const typename BasicJsonType::array_t& arr)
-    {
-        j.m_type = value_t::array;
-        j.m_value = arr;
-        j.assert_invariant();
-    }
-
-    template<typename BasicJsonType>
-    static void construct(BasicJsonType& j, typename BasicJsonType::array_t&& arr)
-    {
-        j.m_type = value_t::array;
-        j.m_value = std::move(arr);
-        j.assert_invariant();
-    }
-
-    template<typename BasicJsonType, typename CompatibleArrayType,
-             enable_if_t<not std::is_same<CompatibleArrayType,
-                                          typename BasicJsonType::array_t>::value,
-                         int> = 0>
-    static void construct(BasicJsonType& j, const CompatibleArrayType& arr)
-    {
-        using std::begin;
-        using std::end;
-        j.m_type = value_t::array;
-        j.m_value.array = j.template create<typename BasicJsonType::array_t>(begin(arr), end(arr));
-        j.assert_invariant();
-    }
-
-    template<typename BasicJsonType>
-    static void construct(BasicJsonType& j, const std::vector<bool>& arr)
-    {
-        j.m_type = value_t::array;
-        j.m_value = value_t::array;
-        j.m_value.array->reserve(arr.size());
-        for (bool x : arr)
-        {
-            j.m_value.array->push_back(x);
-        }
-        j.assert_invariant();
-    }
-
-    template<typename BasicJsonType, typename T,
-             enable_if_t<std::is_convertible<T, BasicJsonType>::value, int> = 0>
-    static void construct(BasicJsonType& j, const std::valarray<T>& arr)
-    {
-        using std::begin;
-        using std::end;
-        j.m_type = value_t::array;
-        j.m_value = value_t::array;
-        j.m_value.array = j.template create<typename BasicJsonType::array_t>(begin(arr), end(arr));
-        j.assert_invariant();
-    }
-};
-
-template<>
-struct external_constructor<value_t::object>
-{
-    template<typename BasicJsonType>
-    static void construct(BasicJsonType& j, const typename BasicJsonType::object_t& obj)
-    {
-        j.m_type = value_t::object;
-        j.m_value = obj;
-        j.assert_invariant();
-    }
-
-    template<typename BasicJsonType>
-    static void construct(BasicJsonType& j, typename BasicJsonType::object_t&& obj)
-    {
-        j.m_type = value_t::object;
-        j.m_value = std::move(obj);
-        j.assert_invariant();
-    }
-
-    template<typename BasicJsonType, typename CompatibleObjectType,
-             enable_if_t<not std::is_same<CompatibleObjectType,
-                                          typename BasicJsonType::object_t>::value, int> = 0>
-    static void construct(BasicJsonType& j, const CompatibleObjectType& obj)
-    {
-        using std::begin;
-        using std::end;
-
-        j.m_type = value_t::object;
-        j.m_value.object = j.template create<typename BasicJsonType::object_t>(begin(obj), end(obj));
-        j.assert_invariant();
-    }
-};
-
-
-////////////////////////
-// has_/is_ functions //
-////////////////////////
-
-/*!
-@brief Helper to determine whether there's a key_type for T.
-
-This helper is used to tell associative containers apart from other containers
-such as sequence containers. For instance, `std::map` passes the test as it
-contains a `mapped_type`, whereas `std::vector` fails the test.
-
-@sa http://stackoverflow.com/a/7728728/266378
-@since version 1.0.0, overworked in version 2.0.6
-*/
-#define NLOHMANN_JSON_HAS_HELPER(type)                                        \
-    template<typename T> struct has_##type {                                  \
-    private:                                                                  \
-        template<typename U, typename = typename U::type>                     \
-        static int detect(U &&);                                              \
-        static void detect(...);                                              \
-    public:                                                                   \
-        static constexpr bool value =                                         \
-                std::is_integral<decltype(detect(std::declval<T>()))>::value; \
-    }
-
-NLOHMANN_JSON_HAS_HELPER(mapped_type);
-NLOHMANN_JSON_HAS_HELPER(key_type);
-NLOHMANN_JSON_HAS_HELPER(value_type);
-NLOHMANN_JSON_HAS_HELPER(iterator);
-
-#undef NLOHMANN_JSON_HAS_HELPER
-
-
-template<bool B, class RealType, class CompatibleObjectType>
-struct is_compatible_object_type_impl : std::false_type {};
-
-template<class RealType, class CompatibleObjectType>
-struct is_compatible_object_type_impl<true, RealType, CompatibleObjectType>
-{
-    static constexpr auto value =
-        std::is_constructible<typename RealType::key_type, typename CompatibleObjectType::key_type>::value and
-        std::is_constructible<typename RealType::mapped_type, typename CompatibleObjectType::mapped_type>::value;
-};
-
-template<class BasicJsonType, class CompatibleObjectType>
-struct is_compatible_object_type
-{
-    static auto constexpr value = is_compatible_object_type_impl <
-                                  conjunction<negation<std::is_same<void, CompatibleObjectType>>,
-                                  has_mapped_type<CompatibleObjectType>,
-                                  has_key_type<CompatibleObjectType>>::value,
-                                  typename BasicJsonType::object_t, CompatibleObjectType >::value;
-};
-
-template<typename BasicJsonType, typename T>
-struct is_basic_json_nested_type
-{
-    static auto constexpr value = std::is_same<T, typename BasicJsonType::iterator>::value or
-                                  std::is_same<T, typename BasicJsonType::const_iterator>::value or
-                                  std::is_same<T, typename BasicJsonType::reverse_iterator>::value or
-                                  std::is_same<T, typename BasicJsonType::const_reverse_iterator>::value;
-};
-
-template<class BasicJsonType, class CompatibleArrayType>
-struct is_compatible_array_type
-{
-    static auto constexpr value =
-        conjunction<negation<std::is_same<void, CompatibleArrayType>>,
-        negation<is_compatible_object_type<
-        BasicJsonType, CompatibleArrayType>>,
-        negation<std::is_constructible<typename BasicJsonType::string_t,
-        CompatibleArrayType>>,
-        negation<is_basic_json_nested_type<BasicJsonType, CompatibleArrayType>>,
-        has_value_type<CompatibleArrayType>,
-        has_iterator<CompatibleArrayType>>::value;
-};
-
-template<bool, typename, typename>
-struct is_compatible_integer_type_impl : std::false_type {};
-
-template<typename RealIntegerType, typename CompatibleNumberIntegerType>
-struct is_compatible_integer_type_impl<true, RealIntegerType, CompatibleNumberIntegerType>
-{
-    // is there an assert somewhere on overflows?
-    using RealLimits = std::numeric_limits<RealIntegerType>;
-    using CompatibleLimits = std::numeric_limits<CompatibleNumberIntegerType>;
-
-    static constexpr auto value =
-        std::is_constructible<RealIntegerType, CompatibleNumberIntegerType>::value and
-        CompatibleLimits::is_integer and
-        RealLimits::is_signed == CompatibleLimits::is_signed;
-};
-
-template<typename RealIntegerType, typename CompatibleNumberIntegerType>
-struct is_compatible_integer_type
-{
-    static constexpr auto value =
-        is_compatible_integer_type_impl <
-        std::is_integral<CompatibleNumberIntegerType>::value and
-        not std::is_same<bool, CompatibleNumberIntegerType>::value,
-        RealIntegerType, CompatibleNumberIntegerType > ::value;
-};
-
-
-// trait checking if JSONSerializer<T>::from_json(json const&, udt&) exists
-template<typename BasicJsonType, typename T>
-struct has_from_json
-{
-  private:
-    // also check the return type of from_json
-    template<typename U, typename = enable_if_t<std::is_same<void, decltype(uncvref_t<U>::from_json(
-                 std::declval<BasicJsonType>(), std::declval<T&>()))>::value>>
-    static int detect(U&&);
-    static void detect(...);
-
-  public:
-    static constexpr bool value = std::is_integral<decltype(
-                                      detect(std::declval<typename BasicJsonType::template json_serializer<T, void>>()))>::value;
-};
-
-// This trait checks if JSONSerializer<T>::from_json(json const&) exists
-// this overload is used for non-default-constructible user-defined-types
-template<typename BasicJsonType, typename T>
-struct has_non_default_from_json
-{
-  private:
-    template <
-        typename U,
-        typename = enable_if_t<std::is_same<
-                                   T, decltype(uncvref_t<U>::from_json(std::declval<BasicJsonType>()))>::value >>
-    static int detect(U&&);
-    static void detect(...);
-
-  public:
-    static constexpr bool value = std::is_integral<decltype(detect(
-                                      std::declval<typename BasicJsonType::template json_serializer<T, void>>()))>::value;
-};
-
-// This trait checks if BasicJsonType::json_serializer<T>::to_json exists
-template<typename BasicJsonType, typename T>
-struct has_to_json
-{
-  private:
-    template<typename U, typename = decltype(uncvref_t<U>::to_json(
-                 std::declval<BasicJsonType&>(), std::declval<T>()))>
-    static int detect(U&&);
-    static void detect(...);
-
-  public:
-    static constexpr bool value = std::is_integral<decltype(detect(
-                                      std::declval<typename BasicJsonType::template json_serializer<T, void>>()))>::value;
-};
-
-
-/////////////
-// to_json //
-/////////////
-
-template<typename BasicJsonType, typename T, enable_if_t<
-             std::is_same<T, typename BasicJsonType::boolean_t>::value, int> = 0>
-void to_json(BasicJsonType& j, T b) noexcept
-{
-    external_constructor<value_t::boolean>::construct(j, b);
-}
-
-template<typename BasicJsonType, typename CompatibleString,
-         enable_if_t<std::is_constructible<typename BasicJsonType::string_t,
-                     CompatibleString>::value, int> = 0>
-void to_json(BasicJsonType& j, const CompatibleString& s)
-{
-    external_constructor<value_t::string>::construct(j, s);
-}
-
-template <typename BasicJsonType>
-void to_json(BasicJsonType& j, typename BasicJsonType::string_t&& s)
-{
-    external_constructor<value_t::string>::construct(j, std::move(s));
-}
-
-template<typename BasicJsonType, typename FloatType,
-         enable_if_t<std::is_floating_point<FloatType>::value, int> = 0>
-void to_json(BasicJsonType& j, FloatType val) noexcept
-{
-    external_constructor<value_t::number_float>::construct(j, static_cast<typename BasicJsonType::number_float_t>(val));
-}
-
-template <
-    typename BasicJsonType, typename CompatibleNumberUnsignedType,
-    enable_if_t<is_compatible_integer_type<typename BasicJsonType::number_unsigned_t,
-                CompatibleNumberUnsignedType>::value, int> = 0 >
-void to_json(BasicJsonType& j, CompatibleNumberUnsignedType val) noexcept
-{
-    external_constructor<value_t::number_unsigned>::construct(j, static_cast<typename BasicJsonType::number_unsigned_t>(val));
-}
-
-template <
-    typename BasicJsonType, typename CompatibleNumberIntegerType,
-    enable_if_t<is_compatible_integer_type<typename BasicJsonType::number_integer_t,
-                CompatibleNumberIntegerType>::value, int> = 0 >
-void to_json(BasicJsonType& j, CompatibleNumberIntegerType val) noexcept
-{
-    external_constructor<value_t::number_integer>::construct(j, static_cast<typename BasicJsonType::number_integer_t>(val));
-}
-
-template<typename BasicJsonType, typename EnumType,
-         enable_if_t<std::is_enum<EnumType>::value, int> = 0>
-void to_json(BasicJsonType& j, EnumType e) noexcept
-{
-    using underlying_type = typename std::underlying_type<EnumType>::type;
-    external_constructor<value_t::number_integer>::construct(j, static_cast<underlying_type>(e));
-}
-
 template<typename BasicJsonType>
-void to_json(BasicJsonType& j, const std::vector<bool>& e)
+void from_json(const BasicJsonType& j, typename std::nullptr_t& n)
 {
-    external_constructor<value_t::array>::construct(j, e);
+    if (JSON_UNLIKELY(not j.is_null()))
+    {
+        JSON_THROW(type_error::create(302, "type must be null, but is " + std::string(j.type_name())));
+    }
+    n = nullptr;
 }
 
-template <
-    typename BasicJsonType, typename CompatibleArrayType,
-    enable_if_t <
-        is_compatible_array_type<BasicJsonType, CompatibleArrayType>::value or
-        std::is_same<typename BasicJsonType::array_t, CompatibleArrayType>::value,
-        int > = 0 >
-void to_json(BasicJsonType& j, const CompatibleArrayType& arr)
-{
-    external_constructor<value_t::array>::construct(j, arr);
-}
-
-template <typename BasicJsonType, typename T,
-          enable_if_t<std::is_convertible<T, BasicJsonType>::value, int> = 0>
-void to_json(BasicJsonType& j, std::valarray<T> arr)
-{
-    external_constructor<value_t::array>::construct(j, std::move(arr));
-}
-
-template <typename BasicJsonType>
-void to_json(BasicJsonType& j, typename BasicJsonType::array_t&& arr)
-{
-    external_constructor<value_t::array>::construct(j, std::move(arr));
-}
-
-template <
-    typename BasicJsonType, typename CompatibleObjectType,
-    enable_if_t<is_compatible_object_type<BasicJsonType, CompatibleObjectType>::value,
-                int> = 0 >
-void to_json(BasicJsonType& j, const CompatibleObjectType& obj)
-{
-    external_constructor<value_t::object>::construct(j, obj);
-}
-
-template <typename BasicJsonType>
-void to_json(BasicJsonType& j, typename BasicJsonType::object_t&& obj)
-{
-    external_constructor<value_t::object>::construct(j, std::move(obj));
-}
-
-template<typename BasicJsonType, typename T, std::size_t N,
-         enable_if_t<not std::is_constructible<
-                         typename BasicJsonType::string_t, T (&)[N]>::value,
-                     int> = 0>
-void to_json(BasicJsonType& j, T (&arr)[N])
-{
-    external_constructor<value_t::array>::construct(j, arr);
-}
-
-template<typename BasicJsonType, typename... Args>
-void to_json(BasicJsonType& j, const std::pair<Args...>& p)
-{
-    j = {p.first, p.second};
-}
-
-template<typename BasicJsonType, typename Tuple, std::size_t... Idx>
-void to_json_tuple_impl(BasicJsonType& j, const Tuple& t, index_sequence<Idx...>)
-{
-    j = {std::get<Idx>(t)...};
-}
-
-template<typename BasicJsonType, typename... Args>
-void to_json(BasicJsonType& j, const std::tuple<Args...>& t)
-{
-    to_json_tuple_impl(j, t, index_sequence_for<Args...> {});
-}
-
-///////////////
-// from_json //
-///////////////
-
 // overloads for basic_json template parameters
 template<typename BasicJsonType, typename ArithmeticType,
          enable_if_t<std::is_arithmetic<ArithmeticType>::value and
-                     not std::is_same<ArithmeticType,
-                                      typename BasicJsonType::boolean_t>::value,
+                     not std::is_same<ArithmeticType, typename BasicJsonType::boolean_t>::value,
                      int> = 0>
 void get_arithmetic_value(const BasicJsonType& j, ArithmeticType& val)
 {
@@ -1127,6 +1111,23 @@ void from_json(const BasicJsonType& j, typename BasicJsonType::string_t& s)
     s = *j.template get_ptr<const typename BasicJsonType::string_t*>();
 }
 
+template <
+    typename BasicJsonType, typename CompatibleStringType,
+    enable_if_t <
+        is_compatible_string_type<BasicJsonType, CompatibleStringType>::value and
+        not std::is_same<typename BasicJsonType::string_t,
+                         CompatibleStringType>::value,
+        int > = 0 >
+void from_json(const BasicJsonType& j, CompatibleStringType& s)
+{
+    if (JSON_UNLIKELY(not j.is_string()))
+    {
+        JSON_THROW(type_error::create(302, "type must be string, but is " + std::string(j.type_name())));
+    }
+
+    s = *j.template get_ptr<const typename BasicJsonType::string_t*>();
+}
+
 template<typename BasicJsonType>
 void from_json(const BasicJsonType& j, typename BasicJsonType::number_float_t& val)
 {
@@ -1154,16 +1155,6 @@ void from_json(const BasicJsonType& j, EnumType& e)
     e = static_cast<EnumType>(val);
 }
 
-template<typename BasicJsonType>
-void from_json(const BasicJsonType& j, typename BasicJsonType::array_t& arr)
-{
-    if (JSON_UNLIKELY(not j.is_array()))
-    {
-        JSON_THROW(type_error::create(302, "type must be array, but is " + std::string(j.type_name())));
-    }
-    arr = *j.template get_ptr<const typename BasicJsonType::array_t*>();
-}
-
 // forward_list doesn't have an insert method
 template<typename BasicJsonType, typename T, typename Allocator,
          enable_if_t<std::is_convertible<BasicJsonType, T>::value, int> = 0>
@@ -1190,30 +1181,31 @@ void from_json(const BasicJsonType& j, std::valarray<T>& l)
         JSON_THROW(type_error::create(302, "type must be array, but is " + std::string(j.type_name())));
     }
     l.resize(j.size());
-    for (size_t i = 0; i < j.size(); ++i)
-    {
-        l[i] = j[i];
-    }
+    std::copy(j.m_value.array->begin(), j.m_value.array->end(), std::begin(l));
 }
 
-template<typename BasicJsonType, typename CompatibleArrayType>
-void from_json_array_impl(const BasicJsonType& j, CompatibleArrayType& arr, priority_tag<0> /*unused*/)
+template<typename BasicJsonType>
+void from_json_array_impl(const BasicJsonType& j, typename BasicJsonType::array_t& arr, priority_tag<3> /*unused*/)
 {
-    using std::end;
+    arr = *j.template get_ptr<const typename BasicJsonType::array_t*>();
+}
 
-    std::transform(j.begin(), j.end(),
-                   std::inserter(arr, end(arr)), [](const BasicJsonType & i)
+template <typename BasicJsonType, typename T, std::size_t N>
+auto from_json_array_impl(const BasicJsonType& j, std::array<T, N>& arr,
+                          priority_tag<2> /*unused*/)
+-> decltype(j.template get<T>(), void())
+{
+    for (std::size_t i = 0; i < N; ++i)
     {
-        // get<BasicJsonType>() returns *this, this won't call a from_json
-        // method when value_type is BasicJsonType
-        return i.template get<typename CompatibleArrayType::value_type>();
-    });
+        arr[i] = j.at(i).template get<T>();
+    }
 }
 
 template<typename BasicJsonType, typename CompatibleArrayType>
 auto from_json_array_impl(const BasicJsonType& j, CompatibleArrayType& arr, priority_tag<1> /*unused*/)
 -> decltype(
     arr.reserve(std::declval<typename CompatibleArrayType::size_type>()),
+    j.template get<typename CompatibleArrayType::value_type>(),
     void())
 {
     using std::end;
@@ -1228,27 +1220,42 @@ auto from_json_array_impl(const BasicJsonType& j, CompatibleArrayType& arr, prio
     });
 }
 
-template<typename BasicJsonType, typename T, std::size_t N>
-void from_json_array_impl(const BasicJsonType& j, std::array<T, N>& arr, priority_tag<2> /*unused*/)
+template <typename BasicJsonType, typename CompatibleArrayType>
+void from_json_array_impl(const BasicJsonType& j, CompatibleArrayType& arr,
+                          priority_tag<0> /*unused*/)
 {
-    for (std::size_t i = 0; i < N; ++i)
+    using std::end;
+
+    std::transform(
+        j.begin(), j.end(), std::inserter(arr, end(arr)),
+        [](const BasicJsonType & i)
     {
-        arr[i] = j.at(i).template get<T>();
-    }
+        // get<BasicJsonType>() returns *this, this won't call a from_json
+        // method when value_type is BasicJsonType
+        return i.template get<typename CompatibleArrayType::value_type>();
+    });
 }
 
-template<typename BasicJsonType, typename CompatibleArrayType,
-         enable_if_t<is_compatible_array_type<BasicJsonType, CompatibleArrayType>::value and
-                     std::is_convertible<BasicJsonType, typename CompatibleArrayType::value_type>::value and
-                     not std::is_same<typename BasicJsonType::array_t, CompatibleArrayType>::value, int> = 0>
-void from_json(const BasicJsonType& j, CompatibleArrayType& arr)
+template <typename BasicJsonType, typename CompatibleArrayType,
+          enable_if_t <
+              is_compatible_array_type<BasicJsonType, CompatibleArrayType>::value and
+              not is_compatible_object_type<BasicJsonType, CompatibleArrayType>::value and
+              not is_compatible_string_type<BasicJsonType, CompatibleArrayType>::value and
+              not is_basic_json<CompatibleArrayType>::value,
+              int > = 0 >
+
+auto from_json(const BasicJsonType& j, CompatibleArrayType& arr)
+-> decltype(from_json_array_impl(j, arr, priority_tag<3> {}),
+j.template get<typename CompatibleArrayType::value_type>(),
+void())
 {
     if (JSON_UNLIKELY(not j.is_array()))
     {
-        JSON_THROW(type_error::create(302, "type must be array, but is " + std::string(j.type_name())));
+        JSON_THROW(type_error::create(302, "type must be array, but is " +
+                                      std::string(j.type_name())));
     }
 
-    from_json_array_impl(j, arr, priority_tag<2> {});
+    from_json_array_impl(j, arr, priority_tag<3> {});
 }
 
 template<typename BasicJsonType, typename CompatibleObjectType,
@@ -1331,190 +1338,630 @@ void from_json(const BasicJsonType& j, std::tuple<Args...>& t)
     from_json_tuple_impl(j, t, index_sequence_for<Args...> {});
 }
 
-struct to_json_fn
+template <typename BasicJsonType, typename Key, typename Value, typename Compare, typename Allocator,
+          typename = enable_if_t<not std::is_constructible<
+                                     typename BasicJsonType::string_t, Key>::value>>
+void from_json(const BasicJsonType& j, std::map<Key, Value, Compare, Allocator>& m)
 {
-  private:
-    template<typename BasicJsonType, typename T>
-    auto call(BasicJsonType& j, T&& val, priority_tag<1> /*unused*/) const noexcept(noexcept(to_json(j, std::forward<T>(val))))
-    -> decltype(to_json(j, std::forward<T>(val)), void())
+    if (JSON_UNLIKELY(not j.is_array()))
     {
-        return to_json(j, std::forward<T>(val));
+        JSON_THROW(type_error::create(302, "type must be array, but is " + std::string(j.type_name())));
     }
+    for (const auto& p : j)
+    {
+        if (JSON_UNLIKELY(not p.is_array()))
+        {
+            JSON_THROW(type_error::create(302, "type must be array, but is " + std::string(p.type_name())));
+        }
+        m.emplace(p.at(0).template get<Key>(), p.at(1).template get<Value>());
+    }
+}
 
-    template<typename BasicJsonType, typename T>
-    void call(BasicJsonType& /*unused*/, T&& /*unused*/, priority_tag<0> /*unused*/) const noexcept
+template <typename BasicJsonType, typename Key, typename Value, typename Hash, typename KeyEqual, typename Allocator,
+          typename = enable_if_t<not std::is_constructible<
+                                     typename BasicJsonType::string_t, Key>::value>>
+void from_json(const BasicJsonType& j, std::unordered_map<Key, Value, Hash, KeyEqual, Allocator>& m)
+{
+    if (JSON_UNLIKELY(not j.is_array()))
     {
-        static_assert(sizeof(BasicJsonType) == 0,
-                      "could not find to_json() method in T's namespace");
+        JSON_THROW(type_error::create(302, "type must be array, but is " + std::string(j.type_name())));
     }
-
-  public:
-    template<typename BasicJsonType, typename T>
-    void operator()(BasicJsonType& j, T&& val) const
-    noexcept(noexcept(std::declval<to_json_fn>().call(j, std::forward<T>(val), priority_tag<1> {})))
+    for (const auto& p : j)
     {
-        return call(j, std::forward<T>(val), priority_tag<1> {});
+        if (JSON_UNLIKELY(not p.is_array()))
+        {
+            JSON_THROW(type_error::create(302, "type must be array, but is " + std::string(p.type_name())));
+        }
+        m.emplace(p.at(0).template get<Key>(), p.at(1).template get<Value>());
     }
-};
+}
 
 struct from_json_fn
 {
-  private:
     template<typename BasicJsonType, typename T>
-    auto call(const BasicJsonType& j, T& val, priority_tag<1> /*unused*/) const
+    auto operator()(const BasicJsonType& j, T& val) const
     noexcept(noexcept(from_json(j, val)))
     -> decltype(from_json(j, val), void())
     {
         return from_json(j, val);
     }
+};
+}
 
-    template<typename BasicJsonType, typename T>
-    void call(const BasicJsonType& /*unused*/, T& /*unused*/, priority_tag<0> /*unused*/) const noexcept
+/// namespace to hold default `from_json` function
+/// to see why this is required:
+/// http://www.open-std.org/jtc1/sc22/wg21/docs/papers/2015/n4381.html
+namespace
+{
+constexpr const auto& from_json = detail::static_const<detail::from_json_fn>::value;
+}
+}
+
+// #include <nlohmann/detail/conversions/to_json.hpp>
+
+
+#include <ciso646> // or, and, not
+#include <iterator> // begin, end
+#include <tuple> // tuple, get
+#include <type_traits> // is_same, is_constructible, is_floating_point, is_enum, underlying_type
+#include <utility> // move, forward, declval, pair
+#include <valarray> // valarray
+#include <vector> // vector
+
+// #include <nlohmann/detail/meta/cpp_future.hpp>
+
+// #include <nlohmann/detail/meta/type_traits.hpp>
+
+// #include <nlohmann/detail/value_t.hpp>
+
+// #include <nlohmann/detail/iterators/iteration_proxy.hpp>
+
+
+#include <cstddef> // size_t
+#include <string> // string, to_string
+#include <iterator> // input_iterator_tag
+
+// #include <nlohmann/detail/value_t.hpp>
+
+
+namespace nlohmann
+{
+namespace detail
+{
+/// proxy class for the items() function
+template<typename IteratorType> class iteration_proxy
+{
+  private:
+    /// helper class for iteration
+    class iteration_proxy_internal
     {
-        static_assert(sizeof(BasicJsonType) == 0,
-                      "could not find from_json() method in T's namespace");
-    }
+      public:
+        using difference_type = std::ptrdiff_t;
+        using value_type = iteration_proxy_internal;
+        using pointer = iteration_proxy_internal*;
+        using reference = iteration_proxy_internal&;
+        using iterator_category = std::input_iterator_tag;
+
+      private:
+        /// the iterator
+        IteratorType anchor;
+        /// an index for arrays (used to create key names)
+        std::size_t array_index = 0;
+        /// last stringified array index
+        mutable std::size_t array_index_last = 0;
+        /// a string representation of the array index
+        mutable std::string array_index_str = "0";
+        /// an empty string (to return a reference for primitive values)
+        const std::string empty_str = "";
+
+      public:
+        explicit iteration_proxy_internal(IteratorType it) noexcept : anchor(it) {}
+
+        iteration_proxy_internal(const iteration_proxy_internal&) = default;
+        iteration_proxy_internal& operator=(const iteration_proxy_internal&) = default;
+
+        /// dereference operator (needed for range-based for)
+        iteration_proxy_internal& operator*()
+        {
+            return *this;
+        }
+
+        /// increment operator (needed for range-based for)
+        iteration_proxy_internal& operator++()
+        {
+            ++anchor;
+            ++array_index;
+
+            return *this;
+        }
+
+        /// equality operator (needed for InputIterator)
+        bool operator==(const iteration_proxy_internal& o) const noexcept
+        {
+            return anchor == o.anchor;
+        }
+
+        /// inequality operator (needed for range-based for)
+        bool operator!=(const iteration_proxy_internal& o) const noexcept
+        {
+            return anchor != o.anchor;
+        }
+
+        /// return key of the iterator
+        const std::string& key() const
+        {
+            assert(anchor.m_object != nullptr);
+
+            switch (anchor.m_object->type())
+            {
+                // use integer array index as key
+                case value_t::array:
+                {
+                    if (array_index != array_index_last)
+                    {
+                        array_index_str = std::to_string(array_index);
+                        array_index_last = array_index;
+                    }
+                    return array_index_str;
+                }
+
+                // use key from the object
+                case value_t::object:
+                    return anchor.key();
+
+                // use an empty key for all primitive types
+                default:
+                    return empty_str;
+            }
+        }
+
+        /// return value of the iterator
+        typename IteratorType::reference value() const
+        {
+            return anchor.value();
+        }
+    };
+
+    /// the container to iterate
+    typename IteratorType::reference container;
 
   public:
-    template<typename BasicJsonType, typename T>
-    void operator()(const BasicJsonType& j, T& val) const
-    noexcept(noexcept(std::declval<from_json_fn>().call(j, val, priority_tag<1> {})))
+    /// construct iteration proxy from a container
+    explicit iteration_proxy(typename IteratorType::reference cont) noexcept
+        : container(cont) {}
+
+    /// return iterator begin (needed for range-based for)
+    iteration_proxy_internal begin() noexcept
     {
-        return call(j, val, priority_tag<1> {});
+        return iteration_proxy_internal(container.begin());
+    }
+
+    /// return iterator end (needed for range-based for)
+    iteration_proxy_internal end() noexcept
+    {
+        return iteration_proxy_internal(container.end());
+    }
+};
+}
+}
+
+
+namespace nlohmann
+{
+namespace detail
+{
+//////////////////
+// constructors //
+//////////////////
+
+template<value_t> struct external_constructor;
+
+template<>
+struct external_constructor<value_t::boolean>
+{
+    template<typename BasicJsonType>
+    static void construct(BasicJsonType& j, typename BasicJsonType::boolean_t b) noexcept
+    {
+        j.m_type = value_t::boolean;
+        j.m_value = b;
+        j.assert_invariant();
     }
 };
 
-// taken from ranges-v3
-template<typename T>
-struct static_const
+template<>
+struct external_constructor<value_t::string>
 {
-    static constexpr T value{};
+    template<typename BasicJsonType>
+    static void construct(BasicJsonType& j, const typename BasicJsonType::string_t& s)
+    {
+        j.m_type = value_t::string;
+        j.m_value = s;
+        j.assert_invariant();
+    }
+
+    template<typename BasicJsonType>
+    static void construct(BasicJsonType& j, typename BasicJsonType::string_t&& s)
+    {
+        j.m_type = value_t::string;
+        j.m_value = std::move(s);
+        j.assert_invariant();
+    }
+
+    template<typename BasicJsonType, typename CompatibleStringType,
+             enable_if_t<not std::is_same<CompatibleStringType, typename BasicJsonType::string_t>::value,
+                         int> = 0>
+    static void construct(BasicJsonType& j, const CompatibleStringType& str)
+    {
+        j.m_type = value_t::string;
+        j.m_value.string = j.template create<typename BasicJsonType::string_t>(str);
+        j.assert_invariant();
+    }
 };
 
-template<typename T>
-constexpr T static_const<T>::value;
+template<>
+struct external_constructor<value_t::number_float>
+{
+    template<typename BasicJsonType>
+    static void construct(BasicJsonType& j, typename BasicJsonType::number_float_t val) noexcept
+    {
+        j.m_type = value_t::number_float;
+        j.m_value = val;
+        j.assert_invariant();
+    }
+};
+
+template<>
+struct external_constructor<value_t::number_unsigned>
+{
+    template<typename BasicJsonType>
+    static void construct(BasicJsonType& j, typename BasicJsonType::number_unsigned_t val) noexcept
+    {
+        j.m_type = value_t::number_unsigned;
+        j.m_value = val;
+        j.assert_invariant();
+    }
+};
+
+template<>
+struct external_constructor<value_t::number_integer>
+{
+    template<typename BasicJsonType>
+    static void construct(BasicJsonType& j, typename BasicJsonType::number_integer_t val) noexcept
+    {
+        j.m_type = value_t::number_integer;
+        j.m_value = val;
+        j.assert_invariant();
+    }
+};
+
+template<>
+struct external_constructor<value_t::array>
+{
+    template<typename BasicJsonType>
+    static void construct(BasicJsonType& j, const typename BasicJsonType::array_t& arr)
+    {
+        j.m_type = value_t::array;
+        j.m_value = arr;
+        j.assert_invariant();
+    }
+
+    template<typename BasicJsonType>
+    static void construct(BasicJsonType& j, typename BasicJsonType::array_t&& arr)
+    {
+        j.m_type = value_t::array;
+        j.m_value = std::move(arr);
+        j.assert_invariant();
+    }
+
+    template<typename BasicJsonType, typename CompatibleArrayType,
+             enable_if_t<not std::is_same<CompatibleArrayType, typename BasicJsonType::array_t>::value,
+                         int> = 0>
+    static void construct(BasicJsonType& j, const CompatibleArrayType& arr)
+    {
+        using std::begin;
+        using std::end;
+        j.m_type = value_t::array;
+        j.m_value.array = j.template create<typename BasicJsonType::array_t>(begin(arr), end(arr));
+        j.assert_invariant();
+    }
+
+    template<typename BasicJsonType>
+    static void construct(BasicJsonType& j, const std::vector<bool>& arr)
+    {
+        j.m_type = value_t::array;
+        j.m_value = value_t::array;
+        j.m_value.array->reserve(arr.size());
+        for (const bool x : arr)
+        {
+            j.m_value.array->push_back(x);
+        }
+        j.assert_invariant();
+    }
+
+    template<typename BasicJsonType, typename T,
+             enable_if_t<std::is_convertible<T, BasicJsonType>::value, int> = 0>
+    static void construct(BasicJsonType& j, const std::valarray<T>& arr)
+    {
+        j.m_type = value_t::array;
+        j.m_value = value_t::array;
+        j.m_value.array->resize(arr.size());
+        std::copy(std::begin(arr), std::end(arr), j.m_value.array->begin());
+        j.assert_invariant();
+    }
+};
+
+template<>
+struct external_constructor<value_t::object>
+{
+    template<typename BasicJsonType>
+    static void construct(BasicJsonType& j, const typename BasicJsonType::object_t& obj)
+    {
+        j.m_type = value_t::object;
+        j.m_value = obj;
+        j.assert_invariant();
+    }
+
+    template<typename BasicJsonType>
+    static void construct(BasicJsonType& j, typename BasicJsonType::object_t&& obj)
+    {
+        j.m_type = value_t::object;
+        j.m_value = std::move(obj);
+        j.assert_invariant();
+    }
+
+    template<typename BasicJsonType, typename CompatibleObjectType,
+             enable_if_t<not std::is_same<CompatibleObjectType, typename BasicJsonType::object_t>::value, int> = 0>
+    static void construct(BasicJsonType& j, const CompatibleObjectType& obj)
+    {
+        using std::begin;
+        using std::end;
+
+        j.m_type = value_t::object;
+        j.m_value.object = j.template create<typename BasicJsonType::object_t>(begin(obj), end(obj));
+        j.assert_invariant();
+    }
+};
+
+/////////////
+// to_json //
+/////////////
+
+template<typename BasicJsonType, typename T,
+         enable_if_t<std::is_same<T, typename BasicJsonType::boolean_t>::value, int> = 0>
+void to_json(BasicJsonType& j, T b) noexcept
+{
+    external_constructor<value_t::boolean>::construct(j, b);
+}
+
+template<typename BasicJsonType, typename CompatibleString,
+         enable_if_t<std::is_constructible<typename BasicJsonType::string_t, CompatibleString>::value, int> = 0>
+void to_json(BasicJsonType& j, const CompatibleString& s)
+{
+    external_constructor<value_t::string>::construct(j, s);
+}
+
+template<typename BasicJsonType>
+void to_json(BasicJsonType& j, typename BasicJsonType::string_t&& s)
+{
+    external_constructor<value_t::string>::construct(j, std::move(s));
+}
+
+template<typename BasicJsonType, typename FloatType,
+         enable_if_t<std::is_floating_point<FloatType>::value, int> = 0>
+void to_json(BasicJsonType& j, FloatType val) noexcept
+{
+    external_constructor<value_t::number_float>::construct(j, static_cast<typename BasicJsonType::number_float_t>(val));
+}
+
+template<typename BasicJsonType, typename CompatibleNumberUnsignedType,
+         enable_if_t<is_compatible_integer_type<typename BasicJsonType::number_unsigned_t, CompatibleNumberUnsignedType>::value, int> = 0>
+void to_json(BasicJsonType& j, CompatibleNumberUnsignedType val) noexcept
+{
+    external_constructor<value_t::number_unsigned>::construct(j, static_cast<typename BasicJsonType::number_unsigned_t>(val));
+}
+
+template<typename BasicJsonType, typename CompatibleNumberIntegerType,
+         enable_if_t<is_compatible_integer_type<typename BasicJsonType::number_integer_t, CompatibleNumberIntegerType>::value, int> = 0>
+void to_json(BasicJsonType& j, CompatibleNumberIntegerType val) noexcept
+{
+    external_constructor<value_t::number_integer>::construct(j, static_cast<typename BasicJsonType::number_integer_t>(val));
+}
+
+template<typename BasicJsonType, typename EnumType,
+         enable_if_t<std::is_enum<EnumType>::value, int> = 0>
+void to_json(BasicJsonType& j, EnumType e) noexcept
+{
+    using underlying_type = typename std::underlying_type<EnumType>::type;
+    external_constructor<value_t::number_integer>::construct(j, static_cast<underlying_type>(e));
+}
+
+template<typename BasicJsonType>
+void to_json(BasicJsonType& j, const std::vector<bool>& e)
+{
+    external_constructor<value_t::array>::construct(j, e);
+}
+
+template <typename BasicJsonType, typename CompatibleArrayType,
+          enable_if_t<is_compatible_array_type<BasicJsonType,
+                      CompatibleArrayType>::value and
+                      not is_compatible_object_type<
+                          BasicJsonType, CompatibleArrayType>::value and
+                      not is_compatible_string_type<BasicJsonType, CompatibleArrayType>::value and
+                      not is_basic_json<CompatibleArrayType>::value,
+                      int> = 0>
+void to_json(BasicJsonType& j, const CompatibleArrayType& arr)
+{
+    external_constructor<value_t::array>::construct(j, arr);
+}
+
+template<typename BasicJsonType, typename T,
+         enable_if_t<std::is_convertible<T, BasicJsonType>::value, int> = 0>
+void to_json(BasicJsonType& j, const std::valarray<T>& arr)
+{
+    external_constructor<value_t::array>::construct(j, std::move(arr));
+}
+
+template<typename BasicJsonType>
+void to_json(BasicJsonType& j, typename BasicJsonType::array_t&& arr)
+{
+    external_constructor<value_t::array>::construct(j, std::move(arr));
+}
+
+template<typename BasicJsonType, typename CompatibleObjectType,
+         enable_if_t<is_compatible_object_type<BasicJsonType, CompatibleObjectType>::value and not is_basic_json<CompatibleObjectType>::value, int> = 0>
+void to_json(BasicJsonType& j, const CompatibleObjectType& obj)
+{
+    external_constructor<value_t::object>::construct(j, obj);
+}
+
+template<typename BasicJsonType>
+void to_json(BasicJsonType& j, typename BasicJsonType::object_t&& obj)
+{
+    external_constructor<value_t::object>::construct(j, std::move(obj));
+}
+
+template <
+    typename BasicJsonType, typename T, std::size_t N,
+    enable_if_t<not std::is_constructible<typename BasicJsonType::string_t,
+                const T (&)[N]>::value,
+                int> = 0 >
+void to_json(BasicJsonType& j, const T (&arr)[N])
+{
+    external_constructor<value_t::array>::construct(j, arr);
+}
+
+template<typename BasicJsonType, typename... Args>
+void to_json(BasicJsonType& j, const std::pair<Args...>& p)
+{
+    j = {p.first, p.second};
+}
+
+// for https://github.com/nlohmann/json/pull/1134
+template<typename BasicJsonType, typename T,
+         enable_if_t<std::is_same<T, typename iteration_proxy<typename BasicJsonType::iterator>::iteration_proxy_internal>::value, int> = 0>
+void to_json(BasicJsonType& j, T b) noexcept
+{
+    j = {{b.key(), b.value()}};
+}
+
+template<typename BasicJsonType, typename Tuple, std::size_t... Idx>
+void to_json_tuple_impl(BasicJsonType& j, const Tuple& t, index_sequence<Idx...>)
+{
+    j = {std::get<Idx>(t)...};
+}
+
+template<typename BasicJsonType, typename... Args>
+void to_json(BasicJsonType& j, const std::tuple<Args...>& t)
+{
+    to_json_tuple_impl(j, t, index_sequence_for<Args...> {});
+}
+
+struct to_json_fn
+{
+    template<typename BasicJsonType, typename T>
+    auto operator()(BasicJsonType& j, T&& val) const noexcept(noexcept(to_json(j, std::forward<T>(val))))
+    -> decltype(to_json(j, std::forward<T>(val)), void())
+    {
+        return to_json(j, std::forward<T>(val));
+    }
+};
+}
+
+/// namespace to hold default `to_json` function
+namespace
+{
+constexpr const auto& to_json = detail::static_const<detail::to_json_fn>::value;
+}
+}
+
+// #include <nlohmann/detail/input/input_adapters.hpp>
+
+
+#include <cassert> // assert
+#include <cstddef> // size_t
+#include <cstring> // strlen
+#include <istream> // istream
+#include <iterator> // begin, end, iterator_traits, random_access_iterator_tag, distance, next
+#include <memory> // shared_ptr, make_shared, addressof
+#include <numeric> // accumulate
+#include <string> // string, char_traits
+#include <type_traits> // enable_if, is_base_of, is_pointer, is_integral, remove_pointer
+#include <utility> // pair, declval
+
+// #include <nlohmann/detail/macro_scope.hpp>
+
+
+namespace nlohmann
+{
+namespace detail
+{
+/// the supported input formats
+enum class input_format_t { json, cbor, msgpack, ubjson };
 
 ////////////////////
 // input adapters //
 ////////////////////
 
-/// abstract input adapter interface
+/*!
+@brief abstract input adapter interface
+
+Produces a stream of std::char_traits<char>::int_type characters from a
+std::istream, a buffer, or some other input type. Accepts the return of
+exactly one non-EOF character for future input. The int_type characters
+returned consist of all valid char values as positive values (typically
+unsigned char), plus an EOF value outside that range, specified by the value
+of the function std::char_traits<char>::eof(). This value is typically -1, but
+could be any arbitrary value which is not a valid char value.
+*/
 struct input_adapter_protocol
 {
-    virtual int get_character() = 0;
-    virtual std::string read(std::size_t offset, std::size_t length) = 0;
+    /// get a character [0,255] or std::char_traits<char>::eof().
+    virtual std::char_traits<char>::int_type get_character() = 0;
     virtual ~input_adapter_protocol() = default;
 };
 
 /// a type to simplify interfaces
 using input_adapter_t = std::shared_ptr<input_adapter_protocol>;
 
-/// input adapter for cached stream input
-template<std::size_t BufferSize>
-class cached_input_stream_adapter : public input_adapter_protocol
+/*!
+Input adapter for a (caching) istream. Ignores a UFT Byte Order Mark at
+beginning of input. Does not support changing the underlying std::streambuf
+in mid-input. Maintains underlying std::istream and std::streambuf to support
+subsequent use of standard std::istream operations to process any input
+characters following those used in parsing the JSON input.  Clears the
+std::istream flags; any input errors (e.g., EOF) will be detected by the first
+subsequent call for input from the std::istream.
+*/
+class input_stream_adapter : public input_adapter_protocol
 {
   public:
-    explicit cached_input_stream_adapter(std::istream& i)
-        : is(i), start_position(is.tellg())
+    ~input_stream_adapter() override
     {
-        fill_buffer();
-
-        // skip byte order mark
-        if (fill_size >= 3 and buffer[0] == '\xEF' and buffer[1] == '\xBB' and buffer[2] == '\xBF')
-        {
-            buffer_pos += 3;
-            processed_chars += 3;
-        }
-    }
-
-    ~cached_input_stream_adapter() override
-    {
-        // clear stream flags
-        is.clear();
-        // We initially read a lot of characters into the buffer, and we may
-        // not have processed all of them. Therefore, we need to "rewind" the
-        // stream after the last processed char.
-        is.seekg(start_position);
-        is.ignore(static_cast<std::streamsize>(processed_chars));
-        // clear stream flags
+        // clear stream flags; we use underlying streambuf I/O, do not
+        // maintain ifstream flags
         is.clear();
     }
 
-    int get_character() override
+    explicit input_stream_adapter(std::istream& i)
+        : is(i), sb(*i.rdbuf())
+    {}
+
+    // delete because of pointer members
+    input_stream_adapter(const input_stream_adapter&) = delete;
+    input_stream_adapter& operator=(input_stream_adapter&) = delete;
+
+    // std::istream/std::streambuf use std::char_traits<char>::to_int_type, to
+    // ensure that std::char_traits<char>::eof() and the character 0xFF do not
+    // end up as the same value, eg. 0xFFFFFFFF.
+    std::char_traits<char>::int_type get_character() override
     {
-        // check if refilling is necessary and possible
-        if (buffer_pos == fill_size and not eof)
-        {
-            fill_buffer();
-
-            // check and remember that filling did not yield new input
-            if (fill_size == 0)
-            {
-                eof = true;
-                return std::char_traits<char>::eof();
-            }
-
-            // the buffer is ready
-            buffer_pos = 0;
-        }
-
-        ++processed_chars;
-        assert(buffer_pos < buffer.size());
-        return buffer[buffer_pos++] & 0xFF;
-    }
-
-    std::string read(std::size_t offset, std::size_t length) override
-    {
-        // create buffer
-        std::string result(length, '\0');
-
-        // save stream position
-        const auto current_pos = is.tellg();
-        // save stream flags
-        const auto flags = is.rdstate();
-
-        // clear stream flags
-        is.clear();
-        // set stream position
-        is.seekg(static_cast<std::streamoff>(offset));
-        // read bytes
-        is.read(&result[0], static_cast<std::streamsize>(length));
-
-        // reset stream position
-        is.seekg(current_pos);
-        // reset stream flags
-        is.setstate(flags);
-
-        return result;
+        return sb.sbumpc();
     }
 
   private:
-    void fill_buffer()
-    {
-        // fill
-        is.read(buffer.data(), static_cast<std::streamsize>(buffer.size()));
-        // store number of bytes in the buffer
-        fill_size = static_cast<size_t>(is.gcount());
-    }
-
     /// the associated input stream
     std::istream& is;
-
-    /// chars returned via get_character()
-    std::size_t processed_chars = 0;
-    /// chars processed in the current buffer
-    std::size_t buffer_pos = 0;
-
-    /// whether stream reached eof
-    bool eof = false;
-    /// how many chars have been copied to the buffer by last (re)fill
-    std::size_t fill_size = 0;
-
-    /// position of the stream when we started
-    const std::streampos start_position;
-
-    /// internal buffer
-    std::array<char, BufferSize> buffer{{}};
+    std::streambuf& sb;
 };
 
 /// input adapter for buffer input
@@ -1522,43 +1969,181 @@ class input_buffer_adapter : public input_adapter_protocol
 {
   public:
     input_buffer_adapter(const char* b, const std::size_t l)
-        : cursor(b), limit(b + l), start(b)
-    {
-        // skip byte order mark
-        if (l >= 3 and b[0] == '\xEF' and b[1] == '\xBB' and b[2] == '\xBF')
-        {
-            cursor += 3;
-        }
-    }
+        : cursor(b), limit(b + l)
+    {}
 
     // delete because of pointer members
     input_buffer_adapter(const input_buffer_adapter&) = delete;
     input_buffer_adapter& operator=(input_buffer_adapter&) = delete;
 
-    int get_character() noexcept override
+    std::char_traits<char>::int_type get_character() noexcept override
     {
         if (JSON_LIKELY(cursor < limit))
         {
-            return *(cursor++) & 0xFF;
+            return std::char_traits<char>::to_int_type(*(cursor++));
         }
 
         return std::char_traits<char>::eof();
     }
 
-    std::string read(std::size_t offset, std::size_t length) override
-    {
-        // avoid reading too many characters
-        const auto max_length = static_cast<size_t>(limit - start);
-        return std::string(start + offset, (std::min)(length, max_length - offset));
-    }
-
   private:
     /// pointer to the current character
     const char* cursor;
     /// pointer past the last character
-    const char* limit;
-    /// pointer to the first character
-    const char* start;
+    const char* const limit;
+};
+
+template<typename WideStringType>
+class wide_string_input_adapter : public input_adapter_protocol
+{
+  public:
+    explicit wide_string_input_adapter(const WideStringType& w) : str(w) {}
+
+    std::char_traits<char>::int_type get_character() noexcept override
+    {
+        // check if buffer needs to be filled
+        if (utf8_bytes_index == utf8_bytes_filled)
+        {
+            if (sizeof(typename WideStringType::value_type) == 2)
+            {
+                fill_buffer_utf16();
+            }
+            else
+            {
+                fill_buffer_utf32();
+            }
+
+            assert(utf8_bytes_filled > 0);
+            assert(utf8_bytes_index == 0);
+        }
+
+        // use buffer
+        assert(utf8_bytes_filled > 0);
+        assert(utf8_bytes_index < utf8_bytes_filled);
+        return utf8_bytes[utf8_bytes_index++];
+    }
+
+  private:
+    void fill_buffer_utf16()
+    {
+        utf8_bytes_index = 0;
+
+        if (current_wchar == str.size())
+        {
+            utf8_bytes[0] = std::char_traits<char>::eof();
+            utf8_bytes_filled = 1;
+        }
+        else
+        {
+            // get the current character
+            const int wc = static_cast<int>(str[current_wchar++]);
+
+            // UTF-16 to UTF-8 encoding
+            if (wc < 0x80)
+            {
+                utf8_bytes[0] = wc;
+                utf8_bytes_filled = 1;
+            }
+            else if (wc <= 0x7FF)
+            {
+                utf8_bytes[0] = 0xC0 | ((wc >> 6));
+                utf8_bytes[1] = 0x80 | (wc & 0x3F);
+                utf8_bytes_filled = 2;
+            }
+            else if (0xD800 > wc or wc >= 0xE000)
+            {
+                utf8_bytes[0] = 0xE0 | ((wc >> 12));
+                utf8_bytes[1] = 0x80 | ((wc >> 6) & 0x3F);
+                utf8_bytes[2] = 0x80 | (wc & 0x3F);
+                utf8_bytes_filled = 3;
+            }
+            else
+            {
+                if (current_wchar < str.size())
+                {
+                    const int wc2 = static_cast<int>(str[current_wchar++]);
+                    const int charcode = 0x10000 + (((wc & 0x3FF) << 10) | (wc2 & 0x3FF));
+                    utf8_bytes[0] = 0xf0 | (charcode >> 18);
+                    utf8_bytes[1] = 0x80 | ((charcode >> 12) & 0x3F);
+                    utf8_bytes[2] = 0x80 | ((charcode >> 6) & 0x3F);
+                    utf8_bytes[3] = 0x80 | (charcode & 0x3F);
+                    utf8_bytes_filled = 4;
+                }
+                else
+                {
+                    // unknown character
+                    ++current_wchar;
+                    utf8_bytes[0] = wc;
+                    utf8_bytes_filled = 1;
+                }
+            }
+        }
+    }
+
+    void fill_buffer_utf32()
+    {
+        utf8_bytes_index = 0;
+
+        if (current_wchar == str.size())
+        {
+            utf8_bytes[0] = std::char_traits<char>::eof();
+            utf8_bytes_filled = 1;
+        }
+        else
+        {
+            // get the current character
+            const int wc = static_cast<int>(str[current_wchar++]);
+
+            // UTF-32 to UTF-8 encoding
+            if (wc < 0x80)
+            {
+                utf8_bytes[0] = wc;
+                utf8_bytes_filled = 1;
+            }
+            else if (wc <= 0x7FF)
+            {
+                utf8_bytes[0] = 0xC0 | ((wc >> 6) & 0x1F);
+                utf8_bytes[1] = 0x80 | (wc & 0x3F);
+                utf8_bytes_filled = 2;
+            }
+            else if (wc <= 0xFFFF)
+            {
+                utf8_bytes[0] = 0xE0 | ((wc >> 12) & 0x0F);
+                utf8_bytes[1] = 0x80 | ((wc >> 6) & 0x3F);
+                utf8_bytes[2] = 0x80 | (wc & 0x3F);
+                utf8_bytes_filled = 3;
+            }
+            else if (wc <= 0x10FFFF)
+            {
+                utf8_bytes[0] = 0xF0 | ((wc >> 18 ) & 0x07);
+                utf8_bytes[1] = 0x80 | ((wc >> 12) & 0x3F);
+                utf8_bytes[2] = 0x80 | ((wc >> 6) & 0x3F);
+                utf8_bytes[3] = 0x80 | (wc & 0x3F);
+                utf8_bytes_filled = 4;
+            }
+            else
+            {
+                // unknown character
+                utf8_bytes[0] = wc;
+                utf8_bytes_filled = 1;
+            }
+        }
+    }
+
+  private:
+    /// the wstring to process
+    const WideStringType& str;
+
+    /// index of the current wchar in str
+    std::size_t current_wchar = 0;
+
+    /// a buffer for UTF-8 bytes
+    std::array<std::char_traits<char>::int_type, 4> utf8_bytes = {{0, 0, 0, 0}};
+
+    /// index to the utf8_codes array for the next valid byte
+    std::size_t utf8_bytes_index = 0;
+    /// number of valid bytes in the utf8_codes array
+    std::size_t utf8_bytes_filled = 0;
 };
 
 class input_adapter
@@ -1568,18 +2153,26 @@ class input_adapter
 
     /// input adapter for input stream
     input_adapter(std::istream& i)
-        : ia(std::make_shared<cached_input_stream_adapter<16384>>(i)) {}
+        : ia(std::make_shared<input_stream_adapter>(i)) {}
 
     /// input adapter for input stream
     input_adapter(std::istream&& i)
-        : ia(std::make_shared<cached_input_stream_adapter<16384>>(i)) {}
+        : ia(std::make_shared<input_stream_adapter>(i)) {}
+
+    input_adapter(const std::wstring& ws)
+        : ia(std::make_shared<wide_string_input_adapter<std::wstring>>(ws)) {}
+
+    input_adapter(const std::u16string& ws)
+        : ia(std::make_shared<wide_string_input_adapter<std::u16string>>(ws)) {}
+
+    input_adapter(const std::u32string& ws)
+        : ia(std::make_shared<wide_string_input_adapter<std::u32string>>(ws)) {}
 
     /// input adapter for buffer
     template<typename CharT,
              typename std::enable_if<
                  std::is_pointer<CharT>::value and
-                 std::is_integral<
-                     typename std::remove_pointer<CharT>::type>::value and
+                 std::is_integral<typename std::remove_pointer<CharT>::type>::value and
                  sizeof(typename std::remove_pointer<CharT>::type) == 1,
                  int>::type = 0>
     input_adapter(CharT b, std::size_t l)
@@ -1591,8 +2184,7 @@ class input_adapter
     template<typename CharT,
              typename std::enable_if<
                  std::is_pointer<CharT>::value and
-                 std::is_integral<
-                     typename std::remove_pointer<CharT>::type>::value and
+                 std::is_integral<typename std::remove_pointer<CharT>::type>::value and
                  sizeof(typename std::remove_pointer<CharT>::type) == 1,
                  int>::type = 0>
     input_adapter(CharT b)
@@ -1602,20 +2194,22 @@ class input_adapter
     /// input adapter for iterator range with contiguous storage
     template<class IteratorType,
              typename std::enable_if<
-                 std::is_same<typename std::iterator_traits<IteratorType>::iterator_category,
-                              std::random_access_iterator_tag>::value,
+                 std::is_same<typename std::iterator_traits<IteratorType>::iterator_category, std::random_access_iterator_tag>::value,
                  int>::type = 0>
     input_adapter(IteratorType first, IteratorType last)
     {
+#ifndef NDEBUG
         // assertion to check that the iterator range is indeed contiguous,
         // see http://stackoverflow.com/a/35008842/266378 for more discussion
-        assert(std::accumulate(
-                   first, last, std::pair<bool, int>(true, 0),
-                   [&first](std::pair<bool, int> res, decltype(*first) val)
+        const auto is_contiguous = std::accumulate(
+                                       first, last, std::pair<bool, int>(true, 0),
+                                       [&first](std::pair<bool, int> res, decltype(*first) val)
         {
             res.first &= (val == *(std::next(std::addressof(*first), res.second++)));
             return res;
-        }).first);
+        }).first;
+        assert(is_contiguous);
+#endif
 
         // assertion to check that each element is 1 byte long
         static_assert(
@@ -1641,13 +2235,10 @@ class input_adapter
         : input_adapter(std::begin(array), std::end(array)) {}
 
     /// input adapter for contiguous container
-    template <
-        class ContiguousContainer,
-        typename std::enable_if <
-            not std::is_pointer<ContiguousContainer>::value and
-            std::is_base_of<std::random_access_iterator_tag,
-                            typename std::iterator_traits<decltype(std::begin(std::declval<ContiguousContainer const>()))>::iterator_category>::value,
-            int >::type = 0 >
+    template<class ContiguousContainer, typename
+             std::enable_if<not std::is_pointer<ContiguousContainer>::value and
+                            std::is_base_of<std::random_access_iterator_tag, typename std::iterator_traits<decltype(std::begin(std::declval<ContiguousContainer const>()))>::iterator_category>::value,
+                            int>::type = 0>
     input_adapter(const ContiguousContainer& c)
         : input_adapter(std::begin(c), std::end(c)) {}
 
@@ -1660,10 +2251,32 @@ class input_adapter
     /// the actual adapter
     input_adapter_t ia = nullptr;
 };
+}
+}
 
-//////////////////////
-// lexer and parser //
-//////////////////////
+// #include <nlohmann/detail/input/lexer.hpp>
+
+
+#include <clocale> // localeconv
+#include <cstddef> // size_t
+#include <cstdlib> // strtof, strtod, strtold, strtoll, strtoull
+#include <cstdio> // snprintf
+#include <initializer_list> // initializer_list
+#include <string> // char_traits, string
+#include <vector> // vector
+
+// #include <nlohmann/detail/macro_scope.hpp>
+
+// #include <nlohmann/detail/input/input_adapters.hpp>
+
+
+namespace nlohmann
+{
+namespace detail
+{
+///////////
+// lexer //
+///////////
 
 /*!
 @brief lexical analysis
@@ -1676,6 +2289,7 @@ class lexer
     using number_integer_t = typename BasicJsonType::number_integer_t;
     using number_unsigned_t = typename BasicJsonType::number_unsigned_t;
     using number_float_t = typename BasicJsonType::number_float_t;
+    using string_t = typename BasicJsonType::string_t;
 
   public:
     /// token types for the parser
@@ -1737,12 +2351,14 @@ class lexer
                 return "end of input";
             case token_type::literal_or_value:
                 return "'[', '{', or a literal";
+            // LCOV_EXCL_START
             default: // catch non-enum values
-                return "unknown token"; // LCOV_EXCL_LINE
+                return "unknown token";
+                // LCOV_EXCL_STOP
         }
     }
 
-    explicit lexer(detail::input_adapter_t adapter)
+    explicit lexer(detail::input_adapter_t&& adapter)
         : ia(std::move(adapter)), decimal_point_char(get_decimal_point()) {}
 
     // delete because of pointer members
@@ -1759,7 +2375,7 @@ class lexer
     {
         const auto loc = localeconv();
         assert(loc != nullptr);
-        return (loc->decimal_point == nullptr) ? '.' : loc->decimal_point[0];
+        return (loc->decimal_point == nullptr) ? '.' : *(loc->decimal_point);
     }
 
     /////////////////////
@@ -1821,6 +2437,12 @@ class lexer
     checks if it is inside the range. If a violation was detected, set up an
     error message and return false. Otherwise, return true.
 
+    @param[in] ranges  list of integers; interpreted as list of pairs of
+                       inclusive lower and upper bound, respectively
+
+    @pre The passed list @a ranges must have 2, 4, or 6 elements; that is,
+         1, 2, or 3 pairs. This precondition is enforced by an assertion.
+
     @return true if and only if no range violation was detected
     */
     bool next_byte_in_range(std::initializer_list<int> ranges)
@@ -1849,9 +2471,10 @@ class lexer
     @brief scan a string literal
 
     This function scans a string according to Sect. 7 of RFC 7159. While
-    scanning, bytes are escaped and copied into buffer yytext. Then the
-    function returns successfully, yytext is null-terminated and yylen
-    contains the number of bytes in the string.
+    scanning, bytes are escaped and copied into buffer token_buffer. Then the
+    function returns successfully, token_buffer is *not* null-terminated (as it
+    may contain \0 bytes), and token_buffer.size() is the number of bytes in the
+    string.
 
     @return token_type::value_string if string could be successfully scanned,
             token_type::parse_error otherwise
@@ -1861,7 +2484,7 @@ class lexer
     */
     token_type scan_string()
     {
-        // reset yytext (ignore opening quote)
+        // reset token_buffer (ignore opening quote)
         reset();
 
         // we entered the function by reading an open quote
@@ -1882,9 +2505,6 @@ class lexer
                 // closing quote
                 case '\"':
                 {
-                    // terminate yytext
-                    add('\0');
-                    --yylen;
                     return token_type::value_string;
                 }
 
@@ -1929,8 +2549,8 @@ class lexer
                         // unicode escapes
                         case 'u':
                         {
-                            int codepoint;
                             const int codepoint1 = get_codepoint();
+                            int codepoint = codepoint1; // start with codepoint1
 
                             if (JSON_UNLIKELY(codepoint1 == -1))
                             {
@@ -1955,6 +2575,7 @@ class lexer
                                     // check if codepoint2 is a low surrogate
                                     if (JSON_LIKELY(0xDC00 <= codepoint2 and codepoint2 <= 0xDFFF))
                                     {
+                                        // overwrite codepoint
                                         codepoint =
                                             // high surrogate occupies the most significant 22 bits
                                             (codepoint1 << 10)
@@ -1984,27 +2605,24 @@ class lexer
                                     error_message = "invalid string: surrogate U+DC00..U+DFFF must follow U+D800..U+DBFF";
                                     return token_type::parse_error;
                                 }
-
-                                // only work with first code point
-                                codepoint = codepoint1;
                             }
 
                             // result of the above calculation yields a proper codepoint
                             assert(0x00 <= codepoint and codepoint <= 0x10FFFF);
 
-                            // translate code point to bytes
+                            // translate codepoint into bytes
                             if (codepoint < 0x80)
                             {
                                 // 1-byte characters: 0xxxxxxx (ASCII)
                                 add(codepoint);
                             }
-                            else if (codepoint <= 0x7ff)
+                            else if (codepoint <= 0x7FF)
                             {
                                 // 2-byte characters: 110xxxxx 10xxxxxx
                                 add(0xC0 | (codepoint >> 6));
                                 add(0x80 | (codepoint & 0x3F));
                             }
-                            else if (codepoint <= 0xffff)
+                            else if (codepoint <= 0xFFFF)
                             {
                                 // 3-byte characters: 1110xxxx 10xxxxxx 10xxxxxx
                                 add(0xE0 | (codepoint >> 12));
@@ -2043,12 +2661,12 @@ class lexer
                 case 0x07:
                 case 0x08:
                 case 0x09:
-                case 0x0a:
-                case 0x0b:
-                case 0x0c:
-                case 0x0d:
-                case 0x0e:
-                case 0x0f:
+                case 0x0A:
+                case 0x0B:
+                case 0x0C:
+                case 0x0D:
+                case 0x0E:
+                case 0x0F:
                 case 0x10:
                 case 0x11:
                 case 0x12:
@@ -2059,12 +2677,12 @@ class lexer
                 case 0x17:
                 case 0x18:
                 case 0x19:
-                case 0x1a:
-                case 0x1b:
-                case 0x1c:
-                case 0x1d:
-                case 0x1e:
-                case 0x1f:
+                case 0x1A:
+                case 0x1B:
+                case 0x1C:
+                case 0x1D:
+                case 0x1E:
+                case 0x1F:
                 {
                     error_message = "invalid string: control character must be escaped";
                     return token_type::parse_error;
@@ -2080,12 +2698,12 @@ class lexer
                 case 0x27:
                 case 0x28:
                 case 0x29:
-                case 0x2a:
-                case 0x2b:
-                case 0x2c:
-                case 0x2d:
-                case 0x2e:
-                case 0x2f:
+                case 0x2A:
+                case 0x2B:
+                case 0x2C:
+                case 0x2D:
+                case 0x2E:
+                case 0x2F:
                 case 0x30:
                 case 0x31:
                 case 0x32:
@@ -2096,12 +2714,12 @@ class lexer
                 case 0x37:
                 case 0x38:
                 case 0x39:
-                case 0x3a:
-                case 0x3b:
-                case 0x3c:
-                case 0x3d:
-                case 0x3e:
-                case 0x3f:
+                case 0x3A:
+                case 0x3B:
+                case 0x3C:
+                case 0x3D:
+                case 0x3E:
+                case 0x3F:
                 case 0x40:
                 case 0x41:
                 case 0x42:
@@ -2112,12 +2730,12 @@ class lexer
                 case 0x47:
                 case 0x48:
                 case 0x49:
-                case 0x4a:
-                case 0x4b:
-                case 0x4c:
-                case 0x4d:
-                case 0x4e:
-                case 0x4f:
+                case 0x4A:
+                case 0x4B:
+                case 0x4C:
+                case 0x4D:
+                case 0x4E:
+                case 0x4F:
                 case 0x50:
                 case 0x51:
                 case 0x52:
@@ -2128,11 +2746,11 @@ class lexer
                 case 0x57:
                 case 0x58:
                 case 0x59:
-                case 0x5a:
-                case 0x5b:
-                case 0x5d:
-                case 0x5e:
-                case 0x5f:
+                case 0x5A:
+                case 0x5B:
+                case 0x5D:
+                case 0x5E:
+                case 0x5F:
                 case 0x60:
                 case 0x61:
                 case 0x62:
@@ -2143,12 +2761,12 @@ class lexer
                 case 0x67:
                 case 0x68:
                 case 0x69:
-                case 0x6a:
-                case 0x6b:
-                case 0x6c:
-                case 0x6d:
-                case 0x6e:
-                case 0x6f:
+                case 0x6A:
+                case 0x6B:
+                case 0x6C:
+                case 0x6D:
+                case 0x6E:
+                case 0x6F:
                 case 0x70:
                 case 0x71:
                 case 0x72:
@@ -2159,48 +2777,48 @@ class lexer
                 case 0x77:
                 case 0x78:
                 case 0x79:
-                case 0x7a:
-                case 0x7b:
-                case 0x7c:
-                case 0x7d:
-                case 0x7e:
-                case 0x7f:
+                case 0x7A:
+                case 0x7B:
+                case 0x7C:
+                case 0x7D:
+                case 0x7E:
+                case 0x7F:
                 {
                     add(current);
                     break;
                 }
 
                 // U+0080..U+07FF: bytes C2..DF 80..BF
-                case 0xc2:
-                case 0xc3:
-                case 0xc4:
-                case 0xc5:
-                case 0xc6:
-                case 0xc7:
-                case 0xc8:
-                case 0xc9:
-                case 0xca:
-                case 0xcb:
-                case 0xcc:
-                case 0xcd:
-                case 0xce:
-                case 0xcf:
-                case 0xd0:
-                case 0xd1:
-                case 0xd2:
-                case 0xd3:
-                case 0xd4:
-                case 0xd5:
-                case 0xd6:
-                case 0xd7:
-                case 0xd8:
-                case 0xd9:
-                case 0xda:
-                case 0xdb:
-                case 0xdc:
-                case 0xdd:
-                case 0xde:
-                case 0xdf:
+                case 0xC2:
+                case 0xC3:
+                case 0xC4:
+                case 0xC5:
+                case 0xC6:
+                case 0xC7:
+                case 0xC8:
+                case 0xC9:
+                case 0xCA:
+                case 0xCB:
+                case 0xCC:
+                case 0xCD:
+                case 0xCE:
+                case 0xCF:
+                case 0xD0:
+                case 0xD1:
+                case 0xD2:
+                case 0xD3:
+                case 0xD4:
+                case 0xD5:
+                case 0xD6:
+                case 0xD7:
+                case 0xD8:
+                case 0xD9:
+                case 0xDA:
+                case 0xDB:
+                case 0xDC:
+                case 0xDD:
+                case 0xDE:
+                case 0xDF:
                 {
                     if (JSON_UNLIKELY(not next_byte_in_range({0x80, 0xBF})))
                     {
@@ -2210,7 +2828,7 @@ class lexer
                 }
 
                 // U+0800..U+0FFF: bytes E0 A0..BF 80..BF
-                case 0xe0:
+                case 0xE0:
                 {
                     if (JSON_UNLIKELY(not (next_byte_in_range({0xA0, 0xBF, 0x80, 0xBF}))))
                     {
@@ -2221,20 +2839,20 @@ class lexer
 
                 // U+1000..U+CFFF: bytes E1..EC 80..BF 80..BF
                 // U+E000..U+FFFF: bytes EE..EF 80..BF 80..BF
-                case 0xe1:
-                case 0xe2:
-                case 0xe3:
-                case 0xe4:
-                case 0xe5:
-                case 0xe6:
-                case 0xe7:
-                case 0xe8:
-                case 0xe9:
-                case 0xea:
-                case 0xeb:
-                case 0xec:
-                case 0xee:
-                case 0xef:
+                case 0xE1:
+                case 0xE2:
+                case 0xE3:
+                case 0xE4:
+                case 0xE5:
+                case 0xE6:
+                case 0xE7:
+                case 0xE8:
+                case 0xE9:
+                case 0xEA:
+                case 0xEB:
+                case 0xEC:
+                case 0xEE:
+                case 0xEF:
                 {
                     if (JSON_UNLIKELY(not (next_byte_in_range({0x80, 0xBF, 0x80, 0xBF}))))
                     {
@@ -2244,7 +2862,7 @@ class lexer
                 }
 
                 // U+D000..U+D7FF: bytes ED 80..9F 80..BF
-                case 0xed:
+                case 0xED:
                 {
                     if (JSON_UNLIKELY(not (next_byte_in_range({0x80, 0x9F, 0x80, 0xBF}))))
                     {
@@ -2254,7 +2872,7 @@ class lexer
                 }
 
                 // U+10000..U+3FFFF F0 90..BF 80..BF 80..BF
-                case 0xf0:
+                case 0xF0:
                 {
                     if (JSON_UNLIKELY(not (next_byte_in_range({0x90, 0xBF, 0x80, 0xBF, 0x80, 0xBF}))))
                     {
@@ -2264,9 +2882,9 @@ class lexer
                 }
 
                 // U+40000..U+FFFFF F1..F3 80..BF 80..BF 80..BF
-                case 0xf1:
-                case 0xf2:
-                case 0xf3:
+                case 0xF1:
+                case 0xF2:
+                case 0xF3:
                 {
                     if (JSON_UNLIKELY(not (next_byte_in_range({0x80, 0xBF, 0x80, 0xBF, 0x80, 0xBF}))))
                     {
@@ -2276,7 +2894,7 @@ class lexer
                 }
 
                 // U+100000..U+10FFFF F4 80..8F 80..BF 80..BF
-                case 0xf4:
+                case 0xF4:
                 {
                     if (JSON_UNLIKELY(not (next_byte_in_range({0x80, 0x8F, 0x80, 0xBF, 0x80, 0xBF}))))
                     {
@@ -2338,7 +2956,7 @@ class lexer
     contains cycles, but any cycle can be left when EOF is read. Therefore,
     the function is guaranteed to terminate.
 
-    During scanning, the read bytes are stored in yytext. This string is
+    During scanning, the read bytes are stored in token_buffer. This string is
     then converted to a signed integer, an unsigned integer, or a
     floating-point number.
 
@@ -2352,7 +2970,7 @@ class lexer
     */
     token_type scan_number()
     {
-        // reset yytext to store the number's bytes
+        // reset token_buffer to store the number's bytes
         reset();
 
         // the type of the parsed number; initially set to unsigned; will be
@@ -2388,11 +3006,13 @@ class lexer
                 goto scan_number_any1;
             }
 
+            // LCOV_EXCL_START
             default:
             {
                 // all other characters are rejected outside scan_number()
-                assert(false); // LCOV_EXCL_LINE
+                assert(false);
             }
+                // LCOV_EXCL_STOP
         }
 
 scan_number_minus:
@@ -2628,12 +3248,7 @@ scan_number_any2:
 scan_number_done:
         // unget the character after the number (we only read it to know that
         // we are done scanning a number)
-        --chars_read;
-        next_unget = true;
-
-        // terminate token
-        add('\0');
-        --yylen;
+        unget();
 
         char* endptr = nullptr;
         errno = 0;
@@ -2641,10 +3256,10 @@ scan_number_done:
         // try to parse integers first and fall back to floats
         if (number_type == token_type::value_unsigned)
         {
-            const auto x = std::strtoull(yytext.data(), &endptr, 10);
+            const auto x = std::strtoull(token_buffer.data(), &endptr, 10);
 
             // we checked the number format before
-            assert(endptr == yytext.data() + yylen);
+            assert(endptr == token_buffer.data() + token_buffer.size());
 
             if (errno == 0)
             {
@@ -2657,10 +3272,10 @@ scan_number_done:
         }
         else if (number_type == token_type::value_integer)
         {
-            const auto x = std::strtoll(yytext.data(), &endptr, 10);
+            const auto x = std::strtoll(token_buffer.data(), &endptr, 10);
 
             // we checked the number format before
-            assert(endptr == yytext.data() + yylen);
+            assert(endptr == token_buffer.data() + token_buffer.size());
 
             if (errno == 0)
             {
@@ -2674,10 +3289,10 @@ scan_number_done:
 
         // this code is reached if we parse a floating-point number or if an
         // integer conversion above failed
-        strtof(value_float, yytext.data(), &endptr);
+        strtof(value_float, token_buffer.data(), &endptr);
 
         // we checked the number format before
-        assert(endptr == yytext.data() + yylen);
+        assert(endptr == token_buffer.data() + token_buffer.size());
 
         return token_type::value_float;
     }
@@ -2706,32 +3321,67 @@ scan_number_done:
     // input management
     /////////////////////
 
-    /// reset yytext
+    /// reset token_buffer; current character is beginning of token
     void reset() noexcept
     {
-        yylen = 0;
-        start_pos = chars_read - 1;
+        token_buffer.clear();
+        token_string.clear();
+        token_string.push_back(std::char_traits<char>::to_char_type(current));
     }
 
-    /// get a character from the input
-    int get()
+    /*
+    @brief get next character from the input
+
+    This function provides the interface to the used input adapter. It does
+    not throw in case the input reached EOF, but returns a
+    `std::char_traits<char>::eof()` in that case.  Stores the scanned characters
+    for use in error messages.
+
+    @return character read from the input
+    */
+    std::char_traits<char>::int_type get()
     {
         ++chars_read;
-        return next_unget ? (next_unget = false, current)
-               : (current = ia->get_character());
+        if (next_unget)
+        {
+            // just reset the next_unget variable and work with current
+            next_unget = false;
+        }
+        else
+        {
+            current = ia->get_character();
+        }
+
+        if (JSON_LIKELY(current != std::char_traits<char>::eof()))
+        {
+            token_string.push_back(std::char_traits<char>::to_char_type(current));
+        }
+        return current;
     }
 
-    /// add a character to yytext
+    /*!
+    @brief unget current character (read it again on next get)
+
+    We implement unget by setting variable next_unget to true. The input is not
+    changed - we just simulate ungetting by modifying chars_read and
+    token_string. The next call to get() will behave as if the unget character
+    is read again.
+    */
+    void unget()
+    {
+        next_unget = true;
+        --chars_read;
+        if (JSON_LIKELY(current != std::char_traits<char>::eof()))
+        {
+            assert(token_string.size() != 0);
+            token_string.pop_back();
+        }
+    }
+
+    /// add a character to token_buffer
     void add(int c)
     {
-        // resize yytext if necessary; this condition is deemed unlikely,
-        // because we start with a 1024-byte buffer
-        if (JSON_UNLIKELY((yylen + 1 > yytext.capacity())))
-        {
-            yytext.resize(2 * yytext.capacity(), '\0');
-        }
-        assert(yylen < yytext.size());
-        yytext[yylen++] = static_cast<char>(c);
+        token_buffer.push_back(std::char_traits<char>::to_char_type(c));
     }
 
   public:
@@ -2757,12 +3407,10 @@ scan_number_done:
         return value_float;
     }
 
-    /// return string value
-    const std::string get_string()
+    /// return current string value (implicitly resets the token; useful only once)
+    string_t& get_string()
     {
-        // yytext cannot be returned as char*, because it may contain a null
-        // byte (parsed as "\u0000")
-        return std::string(yytext.data(), yylen);
+        return token_buffer;
     }
 
     /////////////////////
@@ -2775,28 +3423,21 @@ scan_number_done:
         return chars_read;
     }
 
-    /// return the last read token (for errors only)
+    /// return the last read token (for errors only).  Will never contain EOF
+    /// (an arbitrary value that is not a valid char value, often -1), because
+    /// 255 may legitimately occur.  May contain NUL, which should be escaped.
     std::string get_token_string() const
     {
-        // get the raw byte sequence of the last token
-        std::string s = ia->read(start_pos, chars_read - start_pos);
-
         // escape control characters
         std::string result;
-        for (auto c : s)
+        for (const auto c : token_string)
         {
-            if (c == '\0' or c == std::char_traits<char>::eof())
-            {
-                // ignore EOF
-                continue;
-            }
-            else if ('\x00' <= c and c <= '\x1f')
+            if ('\x00' <= c and c <= '\x1F')
             {
                 // escape control characters
-                std::stringstream ss;
-                ss << "<U+" << std::setw(4) << std::uppercase << std::setfill('0')
-                   << std::hex << static_cast<int>(c) << ">";
-                result += ss.str();
+                char cs[9];
+                snprintf(cs, 9, "<U+%.4X>", static_cast<unsigned char>(c));
+                result += cs;
             }
             else
             {
@@ -2818,8 +3459,43 @@ scan_number_done:
     // actual scanner
     /////////////////////
 
+    /*!
+    @brief skip the UTF-8 byte order mark
+    @return true iff there is no BOM or the correct BOM has been skipped
+    */
+    bool skip_bom()
+    {
+        if (get() == 0xEF)
+        {
+            if (get() == 0xBB and get() == 0xBF)
+            {
+                // we completely parsed the BOM
+                return true;
+            }
+            else
+            {
+                // after reading 0xEF, an unexpected character followed
+                return false;
+            }
+        }
+        else
+        {
+            // the first character is not the beginning of the BOM; unget it to
+            // process is later
+            unget();
+            return true;
+        }
+    }
+
     token_type scan()
     {
+        // initially, skip the BOM
+        if (chars_read == 0 and not skip_bom())
+        {
+            error_message = "invalid BOM; must be 0xEF 0xBB 0xBF if given";
+            return token_type::parse_error;
+        }
+
         // read next character and ignore whitespace
         do
         {
@@ -2887,20 +3563,19 @@ scan_number_done:
     detail::input_adapter_t ia = nullptr;
 
     /// the current character
-    int current = std::char_traits<char>::eof();
+    std::char_traits<char>::int_type current = std::char_traits<char>::eof();
 
-    /// whether get() should return the last character again
+    /// whether the next get() call should just return current
     bool next_unget = false;
 
     /// the number of characters read
     std::size_t chars_read = 0;
-    /// the start position of the current token
-    std::size_t start_pos = 0;
+
+    /// raw input token string (for error messages)
+    std::vector<char> token_string {};
 
     /// buffer for variable-length tokens (numbers, strings)
-    std::vector<char> yytext = std::vector<char>(1024, '\0');
-    /// current index in yytext
-    std::size_t yylen = 0;
+    string_t token_buffer {};
 
     /// a description of occurred lexer errors
     const char* error_message = "";
@@ -2913,6 +3588,888 @@ scan_number_done:
     /// the decimal point
     const char decimal_point_char = '.';
 };
+}
+}
+
+// #include <nlohmann/detail/input/parser.hpp>
+
+
+#include <cassert> // assert
+#include <cmath> // isfinite
+#include <cstdint> // uint8_t
+#include <functional> // function
+#include <string> // string
+#include <utility> // move
+
+// #include <nlohmann/detail/exceptions.hpp>
+
+// #include <nlohmann/detail/macro_scope.hpp>
+
+// #include <nlohmann/detail/meta/is_sax.hpp>
+
+
+#include <cstdint> // size_t
+#include <utility> // declval
+
+// #include <nlohmann/detail/meta/detected.hpp>
+
+// #include <nlohmann/detail/meta/type_traits.hpp>
+
+
+namespace nlohmann
+{
+namespace detail
+{
+template <typename T>
+using null_function_t = decltype(std::declval<T&>().null());
+
+template <typename T>
+using boolean_function_t =
+    decltype(std::declval<T&>().boolean(std::declval<bool>()));
+
+template <typename T, typename Integer>
+using number_integer_function_t =
+    decltype(std::declval<T&>().number_integer(std::declval<Integer>()));
+
+template <typename T, typename Unsigned>
+using number_unsigned_function_t =
+    decltype(std::declval<T&>().number_unsigned(std::declval<Unsigned>()));
+
+template <typename T, typename Float, typename String>
+using number_float_function_t = decltype(std::declval<T&>().number_float(
+                                    std::declval<Float>(), std::declval<const String&>()));
+
+template <typename T, typename String>
+using string_function_t =
+    decltype(std::declval<T&>().string(std::declval<String&>()));
+
+template <typename T>
+using start_object_function_t =
+    decltype(std::declval<T&>().start_object(std::declval<std::size_t>()));
+
+template <typename T, typename String>
+using key_function_t =
+    decltype(std::declval<T&>().key(std::declval<String&>()));
+
+template <typename T>
+using end_object_function_t = decltype(std::declval<T&>().end_object());
+
+template <typename T>
+using start_array_function_t =
+    decltype(std::declval<T&>().start_array(std::declval<std::size_t>()));
+
+template <typename T>
+using end_array_function_t = decltype(std::declval<T&>().end_array());
+
+template <typename T, typename Exception>
+using parse_error_function_t = decltype(std::declval<T&>().parse_error(
+        std::declval<std::size_t>(), std::declval<const std::string&>(),
+        std::declval<const Exception&>()));
+
+template <typename SAX, typename BasicJsonType>
+struct is_sax
+{
+  private:
+    static_assert(is_basic_json<BasicJsonType>::value,
+                  "BasicJsonType must be of type basic_json<...>");
+
+    using number_integer_t = typename BasicJsonType::number_integer_t;
+    using number_unsigned_t = typename BasicJsonType::number_unsigned_t;
+    using number_float_t = typename BasicJsonType::number_float_t;
+    using string_t = typename BasicJsonType::string_t;
+    using exception_t = typename BasicJsonType::exception;
+
+  public:
+    static constexpr bool value =
+        is_detected_exact<bool, null_function_t, SAX>::value &&
+        is_detected_exact<bool, boolean_function_t, SAX>::value &&
+        is_detected_exact<bool, number_integer_function_t, SAX,
+        number_integer_t>::value &&
+        is_detected_exact<bool, number_unsigned_function_t, SAX,
+        number_unsigned_t>::value &&
+        is_detected_exact<bool, number_float_function_t, SAX, number_float_t,
+        string_t>::value &&
+        is_detected_exact<bool, string_function_t, SAX, string_t>::value &&
+        is_detected_exact<bool, start_object_function_t, SAX>::value &&
+        is_detected_exact<bool, key_function_t, SAX, string_t>::value &&
+        is_detected_exact<bool, end_object_function_t, SAX>::value &&
+        is_detected_exact<bool, start_array_function_t, SAX>::value &&
+        is_detected_exact<bool, end_array_function_t, SAX>::value &&
+        is_detected_exact<bool, parse_error_function_t, SAX, exception_t>::value;
+};
+
+template <typename SAX, typename BasicJsonType>
+struct is_sax_static_asserts
+{
+  private:
+    static_assert(is_basic_json<BasicJsonType>::value,
+                  "BasicJsonType must be of type basic_json<...>");
+
+    using number_integer_t = typename BasicJsonType::number_integer_t;
+    using number_unsigned_t = typename BasicJsonType::number_unsigned_t;
+    using number_float_t = typename BasicJsonType::number_float_t;
+    using string_t = typename BasicJsonType::string_t;
+    using exception_t = typename BasicJsonType::exception;
+
+  public:
+    static_assert(is_detected_exact<bool, null_function_t, SAX>::value,
+                  "Missing/invalid function: bool null()");
+    static_assert(is_detected_exact<bool, boolean_function_t, SAX>::value,
+                  "Missing/invalid function: bool boolean(bool)");
+    static_assert(is_detected_exact<bool, boolean_function_t, SAX>::value,
+                  "Missing/invalid function: bool boolean(bool)");
+    static_assert(
+        is_detected_exact<bool, number_integer_function_t, SAX,
+        number_integer_t>::value,
+        "Missing/invalid function: bool number_integer(number_integer_t)");
+    static_assert(
+        is_detected_exact<bool, number_unsigned_function_t, SAX,
+        number_unsigned_t>::value,
+        "Missing/invalid function: bool number_unsigned(number_unsigned_t)");
+    static_assert(is_detected_exact<bool, number_float_function_t, SAX,
+                  number_float_t, string_t>::value,
+                  "Missing/invalid function: bool number_float(number_float_t, const string_t&)");
+    static_assert(
+        is_detected_exact<bool, string_function_t, SAX, string_t>::value,
+        "Missing/invalid function: bool string(string_t&)");
+    static_assert(is_detected_exact<bool, start_object_function_t, SAX>::value,
+                  "Missing/invalid function: bool start_object(std::size_t)");
+    static_assert(is_detected_exact<bool, key_function_t, SAX, string_t>::value,
+                  "Missing/invalid function: bool key(string_t&)");
+    static_assert(is_detected_exact<bool, end_object_function_t, SAX>::value,
+                  "Missing/invalid function: bool end_object()");
+    static_assert(is_detected_exact<bool, start_array_function_t, SAX>::value,
+                  "Missing/invalid function: bool start_array(std::size_t)");
+    static_assert(is_detected_exact<bool, end_array_function_t, SAX>::value,
+                  "Missing/invalid function: bool end_array()");
+    static_assert(
+        is_detected_exact<bool, parse_error_function_t, SAX, exception_t>::value,
+        "Missing/invalid function: bool parse_error(std::size_t, const "
+        "std::string&, const exception&)");
+};
+}
+}
+
+// #include <nlohmann/detail/input/input_adapters.hpp>
+
+// #include <nlohmann/detail/input/json_sax.hpp>
+
+
+#include <cstddef>
+#include <string>
+#include <vector>
+
+// #include <nlohmann/detail/input/parser.hpp>
+
+// #include <nlohmann/detail/exceptions.hpp>
+
+
+namespace nlohmann
+{
+
+/*!
+@brief SAX interface
+
+This class describes the SAX interface used by @ref nlohmann::json::sax_parse.
+Each function is called in different situations while the input is parsed. The
+boolean return value informs the parser whether to continue processing the
+input.
+*/
+template<typename BasicJsonType>
+struct json_sax
+{
+    /// type for (signed) integers
+    using number_integer_t = typename BasicJsonType::number_integer_t;
+    /// type for unsigned integers
+    using number_unsigned_t = typename BasicJsonType::number_unsigned_t;
+    /// type for floating-point numbers
+    using number_float_t = typename BasicJsonType::number_float_t;
+    /// type for strings
+    using string_t = typename BasicJsonType::string_t;
+
+    /*!
+    @brief a null value was read
+    @return whether parsing should proceed
+    */
+    virtual bool null() = 0;
+
+    /*!
+    @brief a boolean value was read
+    @param[in] val  boolean value
+    @return whether parsing should proceed
+    */
+    virtual bool boolean(bool val) = 0;
+
+    /*!
+    @brief an integer number was read
+    @param[in] val  integer value
+    @return whether parsing should proceed
+    */
+    virtual bool number_integer(number_integer_t val) = 0;
+
+    /*!
+    @brief an unsigned integer number was read
+    @param[in] val  unsigned integer value
+    @return whether parsing should proceed
+    */
+    virtual bool number_unsigned(number_unsigned_t val) = 0;
+
+    /*!
+    @brief an floating-point number was read
+    @param[in] val  floating-point value
+    @param[in] s    raw token value
+    @return whether parsing should proceed
+    */
+    virtual bool number_float(number_float_t val, const string_t& s) = 0;
+
+    /*!
+    @brief a string was read
+    @param[in] val  string value
+    @return whether parsing should proceed
+    @note It is safe to move the passed string.
+    */
+    virtual bool string(string_t& val) = 0;
+
+    /*!
+    @brief the beginning of an object was read
+    @param[in] elements  number of object elements or -1 if unknown
+    @return whether parsing should proceed
+    @note binary formats may report the number of elements
+    */
+    virtual bool start_object(std::size_t elements) = 0;
+
+    /*!
+    @brief an object key was read
+    @param[in] val  object key
+    @return whether parsing should proceed
+    @note It is safe to move the passed string.
+    */
+    virtual bool key(string_t& val) = 0;
+
+    /*!
+    @brief the end of an object was read
+    @return whether parsing should proceed
+    */
+    virtual bool end_object() = 0;
+
+    /*!
+    @brief the beginning of an array was read
+    @param[in] elements  number of array elements or -1 if unknown
+    @return whether parsing should proceed
+    @note binary formats may report the number of elements
+    */
+    virtual bool start_array(std::size_t elements) = 0;
+
+    /*!
+    @brief the end of an array was read
+    @return whether parsing should proceed
+    */
+    virtual bool end_array() = 0;
+
+    /*!
+    @brief a parse error occurred
+    @param[in] position    the position in the input where the error occurs
+    @param[in] last_token  the last read token
+    @param[in] error_msg   a detailed error message
+    @return whether parsing should proceed (must return false)
+    */
+    virtual bool parse_error(std::size_t position,
+                             const std::string& last_token,
+                             const detail::exception& ex) = 0;
+
+    virtual ~json_sax() = default;
+};
+
+
+namespace detail
+{
+/*!
+@brief SAX implementation to create a JSON value from SAX events
+
+This class implements the @ref json_sax interface and processes the SAX events
+to create a JSON value which makes it basically a DOM parser. The structure or
+hierarchy of the JSON value is managed by the stack `ref_stack` which contains
+a pointer to the respective array or object for each recursion depth.
+
+After successful parsing, the value that is passed by reference to the
+constructor contains the parsed value.
+
+@tparam BasicJsonType  the JSON type
+*/
+template<typename BasicJsonType>
+class json_sax_dom_parser
+{
+  public:
+    using number_integer_t = typename BasicJsonType::number_integer_t;
+    using number_unsigned_t = typename BasicJsonType::number_unsigned_t;
+    using number_float_t = typename BasicJsonType::number_float_t;
+    using string_t = typename BasicJsonType::string_t;
+
+    /*!
+    @param[in, out] r  reference to a JSON value that is manipulated while
+                       parsing
+    @param[in] allow_exceptions_  whether parse errors yield exceptions
+    */
+    explicit json_sax_dom_parser(BasicJsonType& r, const bool allow_exceptions_ = true)
+        : root(r), allow_exceptions(allow_exceptions_)
+    {}
+
+    bool null()
+    {
+        handle_value(nullptr);
+        return true;
+    }
+
+    bool boolean(bool val)
+    {
+        handle_value(val);
+        return true;
+    }
+
+    bool number_integer(number_integer_t val)
+    {
+        handle_value(val);
+        return true;
+    }
+
+    bool number_unsigned(number_unsigned_t val)
+    {
+        handle_value(val);
+        return true;
+    }
+
+    bool number_float(number_float_t val, const string_t&)
+    {
+        handle_value(val);
+        return true;
+    }
+
+    bool string(string_t& val)
+    {
+        handle_value(val);
+        return true;
+    }
+
+    bool start_object(std::size_t len)
+    {
+        ref_stack.push_back(handle_value(BasicJsonType::value_t::object));
+
+        if (JSON_UNLIKELY(len != std::size_t(-1) and len > ref_stack.back()->max_size()))
+        {
+            JSON_THROW(out_of_range::create(408,
+                                            "excessive object size: " + std::to_string(len)));
+        }
+
+        return true;
+    }
+
+    bool key(string_t& val)
+    {
+        // add null at given key and store the reference for later
+        object_element = &(ref_stack.back()->m_value.object->operator[](val));
+        return true;
+    }
+
+    bool end_object()
+    {
+        ref_stack.pop_back();
+        return true;
+    }
+
+    bool start_array(std::size_t len)
+    {
+        ref_stack.push_back(handle_value(BasicJsonType::value_t::array));
+
+        if (JSON_UNLIKELY(len != std::size_t(-1) and len > ref_stack.back()->max_size()))
+        {
+            JSON_THROW(out_of_range::create(408,
+                                            "excessive array size: " + std::to_string(len)));
+        }
+
+        return true;
+    }
+
+    bool end_array()
+    {
+        ref_stack.pop_back();
+        return true;
+    }
+
+    bool parse_error(std::size_t, const std::string&,
+                     const detail::exception& ex)
+    {
+        errored = true;
+        if (allow_exceptions)
+        {
+            // determine the proper exception type from the id
+            switch ((ex.id / 100) % 100)
+            {
+                case 1:
+                    JSON_THROW(*reinterpret_cast<const detail::parse_error*>(&ex));
+                case 4:
+                    JSON_THROW(*reinterpret_cast<const detail::out_of_range*>(&ex));
+                // LCOV_EXCL_START
+                case 2:
+                    JSON_THROW(*reinterpret_cast<const detail::invalid_iterator*>(&ex));
+                case 3:
+                    JSON_THROW(*reinterpret_cast<const detail::type_error*>(&ex));
+                case 5:
+                    JSON_THROW(*reinterpret_cast<const detail::other_error*>(&ex));
+                default:
+                    assert(false);
+                    // LCOV_EXCL_STOP
+            }
+        }
+        return false;
+    }
+
+    constexpr bool is_errored() const
+    {
+        return errored;
+    }
+
+  private:
+    /*!
+    @invariant If the ref stack is empty, then the passed value will be the new
+               root.
+    @invariant If the ref stack contains a value, then it is an array or an
+               object to which we can add elements
+    */
+    template<typename Value>
+    BasicJsonType* handle_value(Value&& v)
+    {
+        if (ref_stack.empty())
+        {
+            root = BasicJsonType(std::forward<Value>(v));
+            return &root;
+        }
+        else
+        {
+            assert(ref_stack.back()->is_array() or ref_stack.back()->is_object());
+            if (ref_stack.back()->is_array())
+            {
+                ref_stack.back()->m_value.array->emplace_back(std::forward<Value>(v));
+                return &(ref_stack.back()->m_value.array->back());
+            }
+            else
+            {
+                assert(object_element);
+                *object_element = BasicJsonType(std::forward<Value>(v));
+                return object_element;
+            }
+        }
+    }
+
+    /// the parsed JSON value
+    BasicJsonType& root;
+    /// stack to model hierarchy of values
+    std::vector<BasicJsonType*> ref_stack;
+    /// helper to hold the reference for the next object element
+    BasicJsonType* object_element = nullptr;
+    /// whether a syntax error occurred
+    bool errored = false;
+    /// whether to throw exceptions in case of errors
+    const bool allow_exceptions = true;
+};
+
+template<typename BasicJsonType>
+class json_sax_dom_callback_parser
+{
+  public:
+    using number_integer_t = typename BasicJsonType::number_integer_t;
+    using number_unsigned_t = typename BasicJsonType::number_unsigned_t;
+    using number_float_t = typename BasicJsonType::number_float_t;
+    using string_t = typename BasicJsonType::string_t;
+    using parser_callback_t = typename BasicJsonType::parser_callback_t;
+    using parse_event_t = typename BasicJsonType::parse_event_t;
+
+    json_sax_dom_callback_parser(BasicJsonType& r,
+                                 const parser_callback_t cb,
+                                 const bool allow_exceptions_ = true)
+        : root(r), callback(cb), allow_exceptions(allow_exceptions_)
+    {
+        keep_stack.push_back(true);
+    }
+
+    bool null()
+    {
+        handle_value(nullptr);
+        return true;
+    }
+
+    bool boolean(bool val)
+    {
+        handle_value(val);
+        return true;
+    }
+
+    bool number_integer(number_integer_t val)
+    {
+        handle_value(val);
+        return true;
+    }
+
+    bool number_unsigned(number_unsigned_t val)
+    {
+        handle_value(val);
+        return true;
+    }
+
+    bool number_float(number_float_t val, const string_t&)
+    {
+        handle_value(val);
+        return true;
+    }
+
+    bool string(string_t& val)
+    {
+        handle_value(val);
+        return true;
+    }
+
+    bool start_object(std::size_t len)
+    {
+        // check callback for object start
+        const bool keep = callback(static_cast<int>(ref_stack.size()), parse_event_t::object_start, discarded);
+        keep_stack.push_back(keep);
+
+        auto val = handle_value(BasicJsonType::value_t::object, true);
+        ref_stack.push_back(val.second);
+
+        // check object limit
+        if (ref_stack.back())
+        {
+            if (JSON_UNLIKELY(len != std::size_t(-1) and len > ref_stack.back()->max_size()))
+            {
+                JSON_THROW(out_of_range::create(408,
+                                                "excessive object size: " + std::to_string(len)));
+            }
+        }
+
+        return true;
+    }
+
+    bool key(string_t& val)
+    {
+        BasicJsonType k = BasicJsonType(val);
+
+        // check callback for key
+        const bool keep = callback(static_cast<int>(ref_stack.size()), parse_event_t::key, k);
+        key_keep_stack.push_back(keep);
+
+        // add discarded value at given key and store the reference for later
+        if (keep and ref_stack.back())
+        {
+            object_element = &(ref_stack.back()->m_value.object->operator[](val) = discarded);
+        }
+
+        return true;
+    }
+
+    bool end_object()
+    {
+        if (ref_stack.back())
+        {
+            if (not callback(static_cast<int>(ref_stack.size()) - 1, parse_event_t::object_end, *ref_stack.back()))
+            {
+                // discard object
+                *ref_stack.back() = discarded;
+            }
+        }
+
+        assert(not ref_stack.empty());
+        assert(not keep_stack.empty());
+        ref_stack.pop_back();
+        keep_stack.pop_back();
+
+        if (not ref_stack.empty() and ref_stack.back())
+        {
+            // remove discarded value
+            if (ref_stack.back()->is_object())
+            {
+                for (auto it = ref_stack.back()->begin(); it != ref_stack.back()->end(); ++it)
+                {
+                    if (it->is_discarded())
+                    {
+                        ref_stack.back()->erase(it);
+                        break;
+                    }
+                }
+            }
+        }
+
+        return true;
+    }
+
+    bool start_array(std::size_t len)
+    {
+        const bool keep = callback(static_cast<int>(ref_stack.size()), parse_event_t::array_start, discarded);
+        keep_stack.push_back(keep);
+
+        auto val = handle_value(BasicJsonType::value_t::array, true);
+        ref_stack.push_back(val.second);
+
+        // check array limit
+        if (ref_stack.back())
+        {
+            if (JSON_UNLIKELY(len != std::size_t(-1) and len > ref_stack.back()->max_size()))
+            {
+                JSON_THROW(out_of_range::create(408,
+                                                "excessive array size: " + std::to_string(len)));
+            }
+        }
+
+        return true;
+    }
+
+    bool end_array()
+    {
+        bool keep = true;
+
+        if (ref_stack.back())
+        {
+            keep = callback(static_cast<int>(ref_stack.size()) - 1, parse_event_t::array_end, *ref_stack.back());
+            if (not keep)
+            {
+                // discard array
+                *ref_stack.back() = discarded;
+            }
+        }
+
+        assert(not ref_stack.empty());
+        assert(not keep_stack.empty());
+        ref_stack.pop_back();
+        keep_stack.pop_back();
+
+        // remove discarded value
+        if (not keep and not ref_stack.empty())
+        {
+            if (ref_stack.back()->is_array())
+            {
+                ref_stack.back()->m_value.array->pop_back();
+            }
+        }
+
+        return true;
+    }
+
+    bool parse_error(std::size_t, const std::string&,
+                     const detail::exception& ex)
+    {
+        errored = true;
+        if (allow_exceptions)
+        {
+            // determine the proper exception type from the id
+            switch ((ex.id / 100) % 100)
+            {
+                case 1:
+                    JSON_THROW(*reinterpret_cast<const detail::parse_error*>(&ex));
+                case 4:
+                    JSON_THROW(*reinterpret_cast<const detail::out_of_range*>(&ex));
+                // LCOV_EXCL_START
+                case 2:
+                    JSON_THROW(*reinterpret_cast<const detail::invalid_iterator*>(&ex));
+                case 3:
+                    JSON_THROW(*reinterpret_cast<const detail::type_error*>(&ex));
+                case 5:
+                    JSON_THROW(*reinterpret_cast<const detail::other_error*>(&ex));
+                default:
+                    assert(false);
+                    // LCOV_EXCL_STOP
+            }
+        }
+        return false;
+    }
+
+    constexpr bool is_errored() const
+    {
+        return errored;
+    }
+
+  private:
+    /*!
+    @param[in] v  value to add to the JSON value we build during parsing
+    @param[in] skip_callback  whether we should skip calling the callback
+               function; this is required after start_array() and
+               start_object() SAX events, because otherwise we would call the
+               callback function with an empty array or object, respectively.
+
+    @invariant If the ref stack is empty, then the passed value will be the new
+               root.
+    @invariant If the ref stack contains a value, then it is an array or an
+               object to which we can add elements
+
+    @return pair of boolean (whether value should be kept) and pointer (to the
+            passed value in the ref_stack hierarchy; nullptr if not kept)
+    */
+    template<typename Value>
+    std::pair<bool, BasicJsonType*> handle_value(Value&& v, const bool skip_callback = false)
+    {
+        assert(not keep_stack.empty());
+
+        // do not handle this value if we know it would be added to a discarded
+        // container
+        if (not keep_stack.back())
+        {
+            return {false, nullptr};
+        }
+
+        // create value
+        auto value = BasicJsonType(std::forward<Value>(v));
+
+        // check callback
+        const bool keep = skip_callback or callback(static_cast<int>(ref_stack.size()), parse_event_t::value, value);
+
+        // do not handle this value if we just learnt it shall be discarded
+        if (not keep)
+        {
+            return {false, nullptr};
+        }
+
+        if (ref_stack.empty())
+        {
+            root = std::move(value);
+            return {true, &root};
+        }
+        else
+        {
+            // skip this value if we already decided to skip the parent
+            // (https://github.com/nlohmann/json/issues/971#issuecomment-413678360)
+            if (not ref_stack.back())
+            {
+                return {false, nullptr};
+            }
+
+            assert(ref_stack.back()->is_array() or ref_stack.back()->is_object());
+            if (ref_stack.back()->is_array())
+            {
+                ref_stack.back()->m_value.array->push_back(std::move(value));
+                return {true, &(ref_stack.back()->m_value.array->back())};
+            }
+            else
+            {
+                // check if we should store an element for the current key
+                assert(not key_keep_stack.empty());
+                const bool store_element = key_keep_stack.back();
+                key_keep_stack.pop_back();
+
+                if (not store_element)
+                {
+                    return {false, nullptr};
+                }
+
+                assert(object_element);
+                *object_element = std::move(value);
+                return {true, object_element};
+            }
+        }
+    }
+
+    /// the parsed JSON value
+    BasicJsonType& root;
+    /// stack to model hierarchy of values
+    std::vector<BasicJsonType*> ref_stack;
+    /// stack to manage which values to keep
+    std::vector<bool> keep_stack;
+    /// stack to manage which object keys to keep
+    std::vector<bool> key_keep_stack;
+    /// helper to hold the reference for the next object element
+    BasicJsonType* object_element = nullptr;
+    /// whether a syntax error occurred
+    bool errored = false;
+    /// callback function
+    const parser_callback_t callback = nullptr;
+    /// whether to throw exceptions in case of errors
+    const bool allow_exceptions = true;
+    /// a discarded value for the callback
+    BasicJsonType discarded = BasicJsonType::value_t::discarded;
+};
+
+template<typename BasicJsonType>
+class json_sax_acceptor
+{
+  public:
+    using number_integer_t = typename BasicJsonType::number_integer_t;
+    using number_unsigned_t = typename BasicJsonType::number_unsigned_t;
+    using number_float_t = typename BasicJsonType::number_float_t;
+    using string_t = typename BasicJsonType::string_t;
+
+    bool null()
+    {
+        return true;
+    }
+
+    bool boolean(bool)
+    {
+        return true;
+    }
+
+    bool number_integer(number_integer_t)
+    {
+        return true;
+    }
+
+    bool number_unsigned(number_unsigned_t)
+    {
+        return true;
+    }
+
+    bool number_float(number_float_t, const string_t&)
+    {
+        return true;
+    }
+
+    bool string(string_t&)
+    {
+        return true;
+    }
+
+    bool start_object(std::size_t = std::size_t(-1))
+    {
+        return true;
+    }
+
+    bool key(string_t&)
+    {
+        return true;
+    }
+
+    bool end_object()
+    {
+        return true;
+    }
+
+    bool start_array(std::size_t = std::size_t(-1))
+    {
+        return true;
+    }
+
+    bool end_array()
+    {
+        return true;
+    }
+
+    bool parse_error(std::size_t, const std::string&, const detail::exception&)
+    {
+        return false;
+    }
+};
+}
+
+}
+
+// #include <nlohmann/detail/input/lexer.hpp>
+
+// #include <nlohmann/detail/value_t.hpp>
+
+
+namespace nlohmann
+{
+namespace detail
+{
+////////////
+// parser //
+////////////
 
 /*!
 @brief syntax analysis
@@ -2925,6 +4482,7 @@ class parser
     using number_integer_t = typename BasicJsonType::number_integer_t;
     using number_unsigned_t = typename BasicJsonType::number_unsigned_t;
     using number_float_t = typename BasicJsonType::number_float_t;
+    using string_t = typename BasicJsonType::string_t;
     using lexer_t = lexer<BasicJsonType>;
     using token_type = typename lexer_t::token_type;
 
@@ -2949,11 +4507,14 @@ class parser
         std::function<bool(int depth, parse_event_t event, BasicJsonType& parsed)>;
 
     /// a parser reading from an input adapter
-    explicit parser(detail::input_adapter_t adapter,
+    explicit parser(detail::input_adapter_t&& adapter,
                     const parser_callback_t cb = nullptr,
                     const bool allow_exceptions_ = true)
-        : callback(cb), m_lexer(adapter), allow_exceptions(allow_exceptions_)
-    {}
+        : callback(cb), m_lexer(std::move(adapter)), allow_exceptions(allow_exceptions_)
+    {
+        // read first token
+        get_token();
+    }
 
     /*!
     @brief public parser interface
@@ -2967,31 +4528,54 @@ class parser
     */
     void parse(const bool strict, BasicJsonType& result)
     {
-        // read first token
-        get_token();
-
-        parse_internal(true, result);
-        result.assert_invariant();
-
-        // in strict mode, input must be completely read
-        if (strict)
+        if (callback)
         {
-            get_token();
-            expect(token_type::end_of_input);
+            json_sax_dom_callback_parser<BasicJsonType> sdp(result, callback, allow_exceptions);
+            sax_parse_internal(&sdp);
+            result.assert_invariant();
+
+            // in strict mode, input must be completely read
+            if (strict and (get_token() != token_type::end_of_input))
+            {
+                sdp.parse_error(m_lexer.get_position(),
+                                m_lexer.get_token_string(),
+                                parse_error::create(101, m_lexer.get_position(), exception_message(token_type::end_of_input)));
+            }
+
+            // in case of an error, return discarded value
+            if (sdp.is_errored())
+            {
+                result = value_t::discarded;
+                return;
+            }
+
+            // set top-level value to null if it was discarded by the callback
+            // function
+            if (result.is_discarded())
+            {
+                result = nullptr;
+            }
         }
-
-        // in case of an error, return discarded value
-        if (errored)
+        else
         {
-            result = value_t::discarded;
-            return;
-        }
+            json_sax_dom_parser<BasicJsonType> sdp(result, allow_exceptions);
+            sax_parse_internal(&sdp);
+            result.assert_invariant();
 
-        // set top-level value to null if it was discarded by the callback
-        // function
-        if (result.is_discarded())
-        {
-            result = nullptr;
+            // in strict mode, input must be completely read
+            if (strict and (get_token() != token_type::end_of_input))
+            {
+                sdp.parse_error(m_lexer.get_position(),
+                                m_lexer.get_token_string(),
+                                parse_error::create(101, m_lexer.get_position(), exception_message(token_type::end_of_input)));
+            }
+
+            // in case of an error, return discarded value
+            if (sdp.is_errored())
+            {
+                result = value_t::discarded;
+                return;
+            }
         }
     }
 
@@ -3003,397 +4587,311 @@ class parser
     */
     bool accept(const bool strict = true)
     {
-        // read first token
-        get_token();
+        json_sax_acceptor<BasicJsonType> sax_acceptor;
+        return sax_parse(&sax_acceptor, strict);
+    }
 
-        if (not accept_internal())
+    template <typename SAX>
+    bool sax_parse(SAX* sax, const bool strict = true)
+    {
+        (void)detail::is_sax_static_asserts<SAX, BasicJsonType> {};
+        const bool result = sax_parse_internal(sax);
+
+        // strict mode: next byte must be EOF
+        if (result and strict and (get_token() != token_type::end_of_input))
         {
-            return false;
+            return sax->parse_error(m_lexer.get_position(),
+                                    m_lexer.get_token_string(),
+                                    parse_error::create(101, m_lexer.get_position(), exception_message(token_type::end_of_input)));
         }
 
-        // strict => last token must be EOF
-        return not strict or (get_token() == token_type::end_of_input);
+        return result;
     }
 
   private:
-    /*!
-    @brief the actual parser
-    @throw parse_error.101 in case of an unexpected token
-    @throw parse_error.102 if to_unicode fails or surrogate error
-    @throw parse_error.103 if to_unicode fails
-    */
-    void parse_internal(bool keep, BasicJsonType& result)
+    template <typename SAX>
+    bool sax_parse_internal(SAX* sax)
     {
-        // never parse after a parse error was detected
-        assert(not errored);
+        // stack to remember the hieararchy of structured values we are parsing
+        // true = array; false = object
+        std::vector<bool> states;
+        // value to avoid a goto (see comment where set to true)
+        bool skip_to_state_evaluation = false;
 
-        // start with a discarded value
-        if (not result.is_discarded())
+        while (true)
         {
-            result.m_value.destroy(result.m_type);
-            result.m_type = value_t::discarded;
-        }
-
-        switch (last_token)
-        {
-            case token_type::begin_object:
+            if (not skip_to_state_evaluation)
             {
-                if (keep and (not callback or ((keep = callback(depth++, parse_event_t::object_start, result)))))
+                // invariant: get_token() was called before each iteration
+                switch (last_token)
                 {
-                    // explicitly set result to object to cope with {}
-                    result.m_type = value_t::object;
-                    result.m_value = value_t::object;
-                }
-
-                // read next token
-                get_token();
-
-                // closing } -> we are done
-                if (last_token == token_type::end_object)
-                {
-                    if (keep and callback and not callback(--depth, parse_event_t::object_end, result))
+                    case token_type::begin_object:
                     {
-                        result.m_value.destroy(result.m_type);
-                        result.m_type = value_t::discarded;
-                    }
-                    break;
-                }
-
-                // parse values
-                std::string key;
-                BasicJsonType value;
-                while (true)
-                {
-                    // store key
-                    if (not expect(token_type::value_string))
-                    {
-                        return;
-                    }
-                    key = m_lexer.get_string();
-
-                    bool keep_tag = false;
-                    if (keep)
-                    {
-                        if (callback)
+                        if (JSON_UNLIKELY(not sax->start_object(std::size_t(-1))))
                         {
-                            BasicJsonType k(key);
-                            keep_tag = callback(depth, parse_event_t::key, k);
+                            return false;
+                        }
+
+                        // closing } -> we are done
+                        if (get_token() == token_type::end_object)
+                        {
+                            if (JSON_UNLIKELY(not sax->end_object()))
+                            {
+                                return false;
+                            }
+                            break;
+                        }
+
+                        // parse key
+                        if (JSON_UNLIKELY(last_token != token_type::value_string))
+                        {
+                            return sax->parse_error(m_lexer.get_position(),
+                                                    m_lexer.get_token_string(),
+                                                    parse_error::create(101, m_lexer.get_position(), exception_message(token_type::value_string)));
                         }
                         else
                         {
-                            keep_tag = true;
+                            if (JSON_UNLIKELY(not sax->key(m_lexer.get_string())))
+                            {
+                                return false;
+                            }
+                        }
+
+                        // parse separator (:)
+                        if (JSON_UNLIKELY(get_token() != token_type::name_separator))
+                        {
+                            return sax->parse_error(m_lexer.get_position(),
+                                                    m_lexer.get_token_string(),
+                                                    parse_error::create(101, m_lexer.get_position(), exception_message(token_type::name_separator)));
+                        }
+
+                        // remember we are now inside an object
+                        states.push_back(false);
+
+                        // parse values
+                        get_token();
+                        continue;
+                    }
+
+                    case token_type::begin_array:
+                    {
+                        if (JSON_UNLIKELY(not sax->start_array(std::size_t(-1))))
+                        {
+                            return false;
+                        }
+
+                        // closing ] -> we are done
+                        if (get_token() == token_type::end_array)
+                        {
+                            if (JSON_UNLIKELY(not sax->end_array()))
+                            {
+                                return false;
+                            }
+                            break;
+                        }
+
+                        // remember we are now inside an array
+                        states.push_back(true);
+
+                        // parse values (no need to call get_token)
+                        continue;
+                    }
+
+                    case token_type::value_float:
+                    {
+                        const auto res = m_lexer.get_number_float();
+
+                        if (JSON_UNLIKELY(not std::isfinite(res)))
+                        {
+                            return sax->parse_error(m_lexer.get_position(),
+                                                    m_lexer.get_token_string(),
+                                                    out_of_range::create(406, "number overflow parsing '" + m_lexer.get_token_string() + "'"));
+                        }
+                        else
+                        {
+                            if (JSON_UNLIKELY(not sax->number_float(res, m_lexer.get_string())))
+                            {
+                                return false;
+                            }
+                            break;
                         }
                     }
 
-                    // parse separator (:)
-                    get_token();
-                    if (not expect(token_type::name_separator))
+                    case token_type::literal_false:
                     {
-                        return;
+                        if (JSON_UNLIKELY(not sax->boolean(false)))
+                        {
+                            return false;
+                        }
+                        break;
                     }
 
-                    // parse and add value
-                    get_token();
-                    value.m_value.destroy(value.m_type);
-                    value.m_type = value_t::discarded;
-                    parse_internal(keep, value);
-
-                    if (JSON_UNLIKELY(errored))
+                    case token_type::literal_null:
                     {
-                        return;
+                        if (JSON_UNLIKELY(not sax->null()))
+                        {
+                            return false;
+                        }
+                        break;
                     }
 
-                    if (keep and keep_tag and not value.is_discarded())
+                    case token_type::literal_true:
                     {
-                        result.m_value.object->emplace(std::move(key), std::move(value));
+                        if (JSON_UNLIKELY(not sax->boolean(true)))
+                        {
+                            return false;
+                        }
+                        break;
                     }
 
-                    // comma -> next value
-                    get_token();
-                    if (last_token == token_type::value_separator)
+                    case token_type::value_integer:
                     {
-                        get_token();
-                        continue;
+                        if (JSON_UNLIKELY(not sax->number_integer(m_lexer.get_number_integer())))
+                        {
+                            return false;
+                        }
+                        break;
                     }
 
-                    // closing }
-                    if (not expect(token_type::end_object))
+                    case token_type::value_string:
                     {
-                        return;
-                    }
-                    break;
-                }
-
-                if (keep and callback and not callback(--depth, parse_event_t::object_end, result))
-                {
-                    result.m_value.destroy(result.m_type);
-                    result.m_type = value_t::discarded;
-                }
-                break;
-            }
-
-            case token_type::begin_array:
-            {
-                if (keep and (not callback or ((keep = callback(depth++, parse_event_t::array_start, result)))))
-                {
-                    // explicitly set result to object to cope with []
-                    result.m_type = value_t::array;
-                    result.m_value = value_t::array;
-                }
-
-                // read next token
-                get_token();
-
-                // closing ] -> we are done
-                if (last_token == token_type::end_array)
-                {
-                    if (callback and not callback(--depth, parse_event_t::array_end, result))
-                    {
-                        result.m_value.destroy(result.m_type);
-                        result.m_type = value_t::discarded;
-                    }
-                    break;
-                }
-
-                // parse values
-                BasicJsonType value;
-                while (true)
-                {
-                    // parse value
-                    value.m_value.destroy(value.m_type);
-                    value.m_type = value_t::discarded;
-                    parse_internal(keep, value);
-
-                    if (JSON_UNLIKELY(errored))
-                    {
-                        return;
+                        if (JSON_UNLIKELY(not sax->string(m_lexer.get_string())))
+                        {
+                            return false;
+                        }
+                        break;
                     }
 
-                    if (keep and not value.is_discarded())
+                    case token_type::value_unsigned:
                     {
-                        result.m_value.array->push_back(std::move(value));
+                        if (JSON_UNLIKELY(not sax->number_unsigned(m_lexer.get_number_unsigned())))
+                        {
+                            return false;
+                        }
+                        break;
                     }
 
-                    // comma -> next value
-                    get_token();
-                    if (last_token == token_type::value_separator)
+                    case token_type::parse_error:
                     {
-                        get_token();
-                        continue;
+                        // using "uninitialized" to avoid "expected" message
+                        return sax->parse_error(m_lexer.get_position(),
+                                                m_lexer.get_token_string(),
+                                                parse_error::create(101, m_lexer.get_position(), exception_message(token_type::uninitialized)));
                     }
 
-                    // closing ]
-                    if (not expect(token_type::end_array))
+                    default: // the last token was unexpected
                     {
-                        return;
+                        return sax->parse_error(m_lexer.get_position(),
+                                                m_lexer.get_token_string(),
+                                                parse_error::create(101, m_lexer.get_position(), exception_message(token_type::literal_or_value)));
                     }
-                    break;
-                }
-
-                if (keep and callback and not callback(--depth, parse_event_t::array_end, result))
-                {
-                    result.m_value.destroy(result.m_type);
-                    result.m_type = value_t::discarded;
-                }
-                break;
-            }
-
-            case token_type::literal_null:
-            {
-                result.m_type = value_t::null;
-                break;
-            }
-
-            case token_type::value_string:
-            {
-                result.m_type = value_t::string;
-                result.m_value = m_lexer.get_string();
-                break;
-            }
-
-            case token_type::literal_true:
-            {
-                result.m_type = value_t::boolean;
-                result.m_value = true;
-                break;
-            }
-
-            case token_type::literal_false:
-            {
-                result.m_type = value_t::boolean;
-                result.m_value = false;
-                break;
-            }
-
-            case token_type::value_unsigned:
-            {
-                result.m_type = value_t::number_unsigned;
-                result.m_value = m_lexer.get_number_unsigned();
-                break;
-            }
-
-            case token_type::value_integer:
-            {
-                result.m_type = value_t::number_integer;
-                result.m_value = m_lexer.get_number_integer();
-                break;
-            }
-
-            case token_type::value_float:
-            {
-                result.m_type = value_t::number_float;
-                result.m_value = m_lexer.get_number_float();
-
-                // throw in case of infinity or NAN
-                if (JSON_UNLIKELY(not std::isfinite(result.m_value.number_float)))
-                {
-                    if (allow_exceptions)
-                    {
-                        JSON_THROW(out_of_range::create(406, "number overflow parsing '" +
-                                                        m_lexer.get_token_string() + "'"));
-                    }
-                    expect(token_type::uninitialized);
-                }
-                break;
-            }
-
-            case token_type::parse_error:
-            {
-                // using "uninitialized" to avoid "expected" message
-                if (not expect(token_type::uninitialized))
-                {
-                    return;
-                }
-                break; // LCOV_EXCL_LINE
-            }
-
-            default:
-            {
-                // the last token was unexpected; we expected a value
-                if (not expect(token_type::literal_or_value))
-                {
-                    return;
-                }
-                break; // LCOV_EXCL_LINE
-            }
-        }
-
-        if (keep and callback and not callback(depth, parse_event_t::value, result))
-        {
-            result.m_type = value_t::discarded;
-        }
-    }
-
-    /*!
-    @brief the acutal acceptor
-
-    @invariant 1. The last token is not yet processed. Therefore, the caller
-                  of this function must make sure a token has been read.
-               2. When this function returns, the last token is processed.
-                  That is, the last read character was already considered.
-
-    This invariant makes sure that no token needs to be "unput".
-    */
-    bool accept_internal()
-    {
-        switch (last_token)
-        {
-            case token_type::begin_object:
-            {
-                // read next token
-                get_token();
-
-                // closing } -> we are done
-                if (last_token == token_type::end_object)
-                {
-                    return true;
-                }
-
-                // parse values
-                while (true)
-                {
-                    // parse key
-                    if (last_token != token_type::value_string)
-                    {
-                        return false;
-                    }
-
-                    // parse separator (:)
-                    get_token();
-                    if (last_token != token_type::name_separator)
-                    {
-                        return false;
-                    }
-
-                    // parse value
-                    get_token();
-                    if (not accept_internal())
-                    {
-                        return false;
-                    }
-
-                    // comma -> next value
-                    get_token();
-                    if (last_token == token_type::value_separator)
-                    {
-                        get_token();
-                        continue;
-                    }
-
-                    // closing }
-                    return (last_token == token_type::end_object);
                 }
             }
-
-            case token_type::begin_array:
+            else
             {
-                // read next token
-                get_token();
-
-                // closing ] -> we are done
-                if (last_token == token_type::end_array)
-                {
-                    return true;
-                }
-
-                // parse values
-                while (true)
-                {
-                    // parse value
-                    if (not accept_internal())
-                    {
-                        return false;
-                    }
-
-                    // comma -> next value
-                    get_token();
-                    if (last_token == token_type::value_separator)
-                    {
-                        get_token();
-                        continue;
-                    }
-
-                    // closing ]
-                    return (last_token == token_type::end_array);
-                }
+                skip_to_state_evaluation = false;
             }
 
-            case token_type::value_float:
+            // we reached this line after we successfully parsed a value
+            if (states.empty())
             {
-                // reject infinity or NAN
-                return std::isfinite(m_lexer.get_number_float());
-            }
-
-            case token_type::literal_false:
-            case token_type::literal_null:
-            case token_type::literal_true:
-            case token_type::value_integer:
-            case token_type::value_string:
-            case token_type::value_unsigned:
+                // empty stack: we reached the end of the hieararchy: done
                 return true;
+            }
+            else
+            {
+                if (states.back())  // array
+                {
+                    // comma -> next value
+                    if (get_token() == token_type::value_separator)
+                    {
+                        // parse a new value
+                        get_token();
+                        continue;
+                    }
 
-            default: // the last token was unexpected
-                return false;
+                    // closing ]
+                    if (JSON_LIKELY(last_token == token_type::end_array))
+                    {
+                        if (JSON_UNLIKELY(not sax->end_array()))
+                        {
+                            return false;
+                        }
+
+                        // We are done with this array. Before we can parse a
+                        // new value, we need to evaluate the new state first.
+                        // By setting skip_to_state_evaluation to false, we
+                        // are effectively jumping to the beginning of this if.
+                        assert(not states.empty());
+                        states.pop_back();
+                        skip_to_state_evaluation = true;
+                        continue;
+                    }
+                    else
+                    {
+                        return sax->parse_error(m_lexer.get_position(),
+                                                m_lexer.get_token_string(),
+                                                parse_error::create(101, m_lexer.get_position(), exception_message(token_type::end_array)));
+                    }
+                }
+                else  // object
+                {
+                    // comma -> next value
+                    if (get_token() == token_type::value_separator)
+                    {
+                        // parse key
+                        if (JSON_UNLIKELY(get_token() != token_type::value_string))
+                        {
+                            return sax->parse_error(m_lexer.get_position(),
+                                                    m_lexer.get_token_string(),
+                                                    parse_error::create(101, m_lexer.get_position(), exception_message(token_type::value_string)));
+                        }
+                        else
+                        {
+                            if (JSON_UNLIKELY(not sax->key(m_lexer.get_string())))
+                            {
+                                return false;
+                            }
+                        }
+
+                        // parse separator (:)
+                        if (JSON_UNLIKELY(get_token() != token_type::name_separator))
+                        {
+                            return sax->parse_error(m_lexer.get_position(),
+                                                    m_lexer.get_token_string(),
+                                                    parse_error::create(101, m_lexer.get_position(), exception_message(token_type::name_separator)));
+                        }
+
+                        // parse values
+                        get_token();
+                        continue;
+                    }
+
+                    // closing }
+                    if (JSON_LIKELY(last_token == token_type::end_object))
+                    {
+                        if (JSON_UNLIKELY(not sax->end_object()))
+                        {
+                            return false;
+                        }
+
+                        // We are done with this object. Before we can parse a
+                        // new value, we need to evaluate the new state first.
+                        // By setting skip_to_state_evaluation to false, we
+                        // are effectively jumping to the beginning of this if.
+                        assert(not states.empty());
+                        states.pop_back();
+                        skip_to_state_evaluation = true;
+                        continue;
+                    }
+                    else
+                    {
+                        return sax->parse_error(m_lexer.get_position(),
+                                                m_lexer.get_token_string(),
+                                                parse_error::create(101, m_lexer.get_position(), exception_message(token_type::end_object)));
+                    }
+                }
+            }
         }
     }
 
@@ -3403,29 +4901,7 @@ class parser
         return (last_token = m_lexer.scan());
     }
 
-    /*!
-    @throw parse_error.101 if expected token did not occur
-    */
-    bool expect(token_type t)
-    {
-        if (JSON_UNLIKELY(t != last_token))
-        {
-            errored = true;
-            expected = t;
-            if (allow_exceptions)
-            {
-                throw_exception();
-            }
-            else
-            {
-                return false;
-            }
-        }
-
-        return true;
-    }
-
-    [[noreturn]] void throw_exception() const
+    std::string exception_message(const token_type expected)
     {
         std::string error_msg = "syntax error - ";
         if (last_token == token_type::parse_error)
@@ -3443,31 +4919,33 @@ class parser
             error_msg += "; expected " + std::string(lexer_t::token_type_name(expected));
         }
 
-        JSON_THROW(parse_error::create(101, m_lexer.get_position(), error_msg));
+        return error_msg;
     }
 
   private:
-    /// current level of recursion
-    int depth = 0;
     /// callback function
     const parser_callback_t callback = nullptr;
     /// the type of the last read token
     token_type last_token = token_type::uninitialized;
     /// the lexer
     lexer_t m_lexer;
-    /// whether a syntax error occurred
-    bool errored = false;
-    /// possible reason for the syntax error
-    token_type expected = token_type::uninitialized;
     /// whether to throw exceptions in case of errors
     const bool allow_exceptions = true;
 };
+}
+}
 
-///////////////
-// iterators //
-///////////////
+// #include <nlohmann/detail/iterators/primitive_iterator.hpp>
 
-/*!
+
+#include <cstddef> // ptrdiff_t
+#include <limits>  // numeric_limits
+
+namespace nlohmann
+{
+namespace detail
+{
+/*
 @brief an iterator for primitive JSON types
 
 This class models an iterator for primitive JSON types (boolean, number,
@@ -3478,9 +4956,15 @@ end_value (`1`) models past the end.
 */
 class primitive_iterator_t
 {
-  public:
+  private:
     using difference_type = std::ptrdiff_t;
+    static constexpr difference_type begin_value = 0;
+    static constexpr difference_type end_value = begin_value + 1;
 
+    /// iterator as signed integer type
+    difference_type m_it = (std::numeric_limits<std::ptrdiff_t>::min)();
+
+  public:
     constexpr difference_type get_value() const noexcept
     {
         return m_it;
@@ -3501,23 +4985,18 @@ class primitive_iterator_t
     /// return whether the iterator can be dereferenced
     constexpr bool is_begin() const noexcept
     {
-        return (m_it == begin_value);
+        return m_it == begin_value;
     }
 
     /// return whether the iterator is at end
     constexpr bool is_end() const noexcept
     {
-        return (m_it == end_value);
+        return m_it == end_value;
     }
 
     friend constexpr bool operator==(primitive_iterator_t lhs, primitive_iterator_t rhs) noexcept
     {
-        return (lhs.m_it == rhs.m_it);
-    }
-
-    friend constexpr bool operator!=(primitive_iterator_t lhs, primitive_iterator_t rhs) noexcept
-    {
-        return not(lhs == rhs);
+        return lhs.m_it == rhs.m_it;
     }
 
     friend constexpr bool operator<(primitive_iterator_t lhs, primitive_iterator_t rhs) noexcept
@@ -3525,25 +5004,10 @@ class primitive_iterator_t
         return lhs.m_it < rhs.m_it;
     }
 
-    friend constexpr bool operator<=(primitive_iterator_t lhs, primitive_iterator_t rhs) noexcept
-    {
-        return lhs.m_it <= rhs.m_it;
-    }
-
-    friend constexpr bool operator>(primitive_iterator_t lhs, primitive_iterator_t rhs) noexcept
-    {
-        return lhs.m_it > rhs.m_it;
-    }
-
-    friend constexpr bool operator>=(primitive_iterator_t lhs, primitive_iterator_t rhs) noexcept
-    {
-        return lhs.m_it >= rhs.m_it;
-    }
-
-    primitive_iterator_t operator+(difference_type i)
+    primitive_iterator_t operator+(difference_type n) noexcept
     {
         auto result = *this;
-        result += i;
+        result += n;
         return result;
     }
 
@@ -3552,57 +5016,57 @@ class primitive_iterator_t
         return lhs.m_it - rhs.m_it;
     }
 
-    friend std::ostream& operator<<(std::ostream& os, primitive_iterator_t it)
-    {
-        return os << it.m_it;
-    }
-
-    primitive_iterator_t& operator++()
+    primitive_iterator_t& operator++() noexcept
     {
         ++m_it;
         return *this;
     }
 
-    primitive_iterator_t operator++(int)
+    primitive_iterator_t const operator++(int) noexcept
     {
         auto result = *this;
-        m_it++;
+        ++m_it;
         return result;
     }
 
-    primitive_iterator_t& operator--()
+    primitive_iterator_t& operator--() noexcept
     {
         --m_it;
         return *this;
     }
 
-    primitive_iterator_t operator--(int)
+    primitive_iterator_t const operator--(int) noexcept
     {
         auto result = *this;
-        m_it--;
+        --m_it;
         return result;
     }
 
-    primitive_iterator_t& operator+=(difference_type n)
+    primitive_iterator_t& operator+=(difference_type n) noexcept
     {
         m_it += n;
         return *this;
     }
 
-    primitive_iterator_t& operator-=(difference_type n)
+    primitive_iterator_t& operator-=(difference_type n) noexcept
     {
         m_it -= n;
         return *this;
     }
-
-  private:
-    static constexpr difference_type begin_value = 0;
-    static constexpr difference_type end_value = begin_value + 1;
-
-    /// iterator as signed integer type
-    difference_type m_it = std::numeric_limits<std::ptrdiff_t>::denorm_min();
 };
+}
+}
 
+// #include <nlohmann/detail/iterators/internal_iterator.hpp>
+
+
+// #include <nlohmann/detail/iterators/primitive_iterator.hpp>
+
+
+namespace nlohmann
+{
+namespace detail
+{
 /*!
 @brief an iterator value
 
@@ -3618,11 +5082,38 @@ template<typename BasicJsonType> struct internal_iterator
     /// generic iterator for all other types
     primitive_iterator_t primitive_iterator {};
 };
+}
+}
 
+// #include <nlohmann/detail/iterators/iter_impl.hpp>
+
+
+#include <ciso646> // not
+#include <iterator> // iterator, random_access_iterator_tag, bidirectional_iterator_tag, advance, next
+#include <type_traits> // conditional, is_const, remove_const
+
+// #include <nlohmann/detail/exceptions.hpp>
+
+// #include <nlohmann/detail/iterators/internal_iterator.hpp>
+
+// #include <nlohmann/detail/iterators/primitive_iterator.hpp>
+
+// #include <nlohmann/detail/macro_scope.hpp>
+
+// #include <nlohmann/detail/meta/cpp_future.hpp>
+
+// #include <nlohmann/detail/value_t.hpp>
+
+
+namespace nlohmann
+{
+namespace detail
+{
+// forward declare, to be able to friend it later on
 template<typename IteratorType> class iteration_proxy;
 
 /*!
-@brief a template for a random access iterator for the @ref basic_json class
+@brief a template for a bidirectional iterator for the @ref basic_json class
 
 This class implements a both iterators (iterator and const_iterator) for the
 @ref basic_json class.
@@ -3634,14 +5125,15 @@ This class implements a both iterators (iterator and const_iterator) for the
 
 @requirement The class satisfies the following concept requirements:
 -
-[RandomAccessIterator](http://en.cppreference.com/w/cpp/concept/RandomAccessIterator):
-  The iterator that can be moved to point (forward and backward) to any
-  element in constant time.
+[BidirectionalIterator](https://en.cppreference.com/w/cpp/named_req/BidirectionalIterator):
+  The iterator that can be moved can be moved in both directions (i.e.
+  incremented and decremented).
 
-@since version 1.0.0, simplified in version 2.0.9
+@since version 1.0.0, simplified in version 2.0.9, change to bidirectional
+       iterators in version 3.0.0 (see https://github.com/nlohmann/json/issues/593)
 */
 template<typename BasicJsonType>
-class iter_impl : public std::iterator<std::random_access_iterator_tag, BasicJsonType>
+class iter_impl
 {
     /// allow basic_json to access private members
     friend iter_impl<typename std::conditional<std::is_const<BasicJsonType>::value, typename std::remove_const<BasicJsonType>::type, const BasicJsonType>::type>;
@@ -3655,6 +5147,14 @@ class iter_impl : public std::iterator<std::random_access_iterator_tag, BasicJso
                   "iter_impl only accepts (const) basic_json");
 
   public:
+
+    /// The std::iterator class template (used as a base class to provide typedefs) is deprecated in C++17.
+    /// The C++ Standard has never required user-defined iterators to derive from std::iterator.
+    /// A user-defined iterator should provide publicly accessible typedefs named
+    /// iterator_category, value_type, difference_type, pointer, and reference.
+    /// Note that value_type is required to be non-const, even for constant iterators.
+    using iterator_category = std::bidirectional_iterator_tag;
+
     /// the type of the values when the iterator is dereferenced
     using value_type = typename BasicJsonType::value_type;
     /// a type to represent differences between iterators
@@ -3668,8 +5168,6 @@ class iter_impl : public std::iterator<std::random_access_iterator_tag, BasicJso
         typename std::conditional<std::is_const<BasicJsonType>::value,
         typename BasicJsonType::const_reference,
         typename BasicJsonType::reference>::type;
-    /// the category of the iterator
-    using iterator_category = std::bidirectional_iterator_tag;
 
     /// default constructor
     iter_impl() = default;
@@ -3880,7 +5378,7 @@ class iter_impl : public std::iterator<std::random_access_iterator_tag, BasicJso
     @brief post-increment (it++)
     @pre The iterator is initialized; i.e. `m_object != nullptr`.
     */
-    iter_impl operator++(int)
+    iter_impl const operator++(int)
     {
         auto result = *this;
         ++(*this);
@@ -3923,7 +5421,7 @@ class iter_impl : public std::iterator<std::random_access_iterator_tag, BasicJso
     @brief post-decrement (it--)
     @pre The iterator is initialized; i.e. `m_object != nullptr`.
     */
-    iter_impl operator--(int)
+    iter_impl const operator--(int)
     {
         auto result = *this;
         --(*this);
@@ -4179,7 +5677,7 @@ class iter_impl : public std::iterator<std::random_access_iterator_tag, BasicJso
     @brief  return the key of an object iterator
     @pre The iterator is initialized; i.e. `m_object != nullptr`.
     */
-    typename object_t::key_type key() const
+    const typename object_t::key_type& key() const
     {
         assert(m_object != nullptr);
 
@@ -4204,94 +5702,27 @@ class iter_impl : public std::iterator<std::random_access_iterator_tag, BasicJso
     /// associated JSON instance
     pointer m_object = nullptr;
     /// the actual iterator of the associated instance
-    internal_iterator<typename std::remove_const<BasicJsonType>::type> m_it = {};
+    internal_iterator<typename std::remove_const<BasicJsonType>::type> m_it;
 };
+}
+}
 
-/// proxy class for the iterator_wrapper functions
-template<typename IteratorType> class iteration_proxy
+// #include <nlohmann/detail/iterators/iteration_proxy.hpp>
+
+// #include <nlohmann/detail/iterators/json_reverse_iterator.hpp>
+
+
+#include <cstddef> // ptrdiff_t
+#include <iterator> // reverse_iterator
+#include <utility> // declval
+
+namespace nlohmann
 {
-  private:
-    /// helper class for iteration
-    class iteration_proxy_internal
-    {
-      private:
-        /// the iterator
-        IteratorType anchor;
-        /// an index for arrays (used to create key names)
-        std::size_t array_index = 0;
-
-      public:
-        explicit iteration_proxy_internal(IteratorType it) noexcept : anchor(it) {}
-
-        /// dereference operator (needed for range-based for)
-        iteration_proxy_internal& operator*()
-        {
-            return *this;
-        }
-
-        /// increment operator (needed for range-based for)
-        iteration_proxy_internal& operator++()
-        {
-            ++anchor;
-            ++array_index;
-
-            return *this;
-        }
-
-        /// inequality operator (needed for range-based for)
-        bool operator!=(const iteration_proxy_internal& o) const noexcept
-        {
-            return anchor != o.anchor;
-        }
-
-        /// return key of the iterator
-        std::string key() const
-        {
-            assert(anchor.m_object != nullptr);
-
-            switch (anchor.m_object->type())
-            {
-                // use integer array index as key
-                case value_t::array:
-                    return std::to_string(array_index);
-
-                // use key from the object
-                case value_t::object:
-                    return anchor.key();
-
-                // use an empty key for all primitive types
-                default:
-                    return "";
-            }
-        }
-
-        /// return value of the iterator
-        typename IteratorType::reference value() const
-        {
-            return anchor.value();
-        }
-    };
-
-    /// the container to iterate
-    typename IteratorType::reference container;
-
-  public:
-    /// construct iteration proxy from a container
-    explicit iteration_proxy(typename IteratorType::reference cont)
-        : container(cont) {}
-
-    /// return iterator begin (needed for range-based for)
-    iteration_proxy_internal begin() noexcept
-    {
-        return iteration_proxy_internal(container.begin());
-    }
-
-    /// return iterator end (needed for range-based for)
-    iteration_proxy_internal end() noexcept
-    {
-        return iteration_proxy_internal(container.end());
-    }
-};
+namespace detail
+{
+//////////////////////
+// reverse_iterator //
+//////////////////////
 
 /*!
 @brief a template for a reverse iterator class
@@ -4302,10 +5733,10 @@ create @ref const_reverse_iterator).
 
 @requirement The class satisfies the following concept requirements:
 -
-[RandomAccessIterator](http://en.cppreference.com/w/cpp/concept/RandomAccessIterator):
-  The iterator that can be moved to point (forward and backward) to any
-  element in constant time.
-- [OutputIterator](http://en.cppreference.com/w/cpp/concept/OutputIterator):
+[BidirectionalIterator](https://en.cppreference.com/w/cpp/named_req/BidirectionalIterator):
+  The iterator that can be moved can be moved in both directions (i.e.
+  incremented and decremented).
+- [OutputIterator](https://en.cppreference.com/w/cpp/named_req/OutputIterator):
   It is possible to write to the pointed-to element (only if @a Base is
   @ref iterator).
 
@@ -4316,20 +5747,20 @@ class json_reverse_iterator : public std::reverse_iterator<Base>
 {
   public:
     using difference_type = std::ptrdiff_t;
-    /// shortcut to the reverse iterator adaptor
+    /// shortcut to the reverse iterator adapter
     using base_iterator = std::reverse_iterator<Base>;
     /// the reference type for the pointed-to element
     using reference = typename Base::reference;
 
     /// create reverse iterator from iterator
-    json_reverse_iterator(const typename base_iterator::iterator_type& it) noexcept
+    explicit json_reverse_iterator(const typename base_iterator::iterator_type& it) noexcept
         : base_iterator(it) {}
 
     /// create reverse iterator from base class
-    json_reverse_iterator(const base_iterator& it) noexcept : base_iterator(it) {}
+    explicit json_reverse_iterator(const base_iterator& it) noexcept : base_iterator(it) {}
 
     /// post-increment (it++)
-    json_reverse_iterator operator++(int)
+    json_reverse_iterator const operator++(int)
     {
         return static_cast<json_reverse_iterator>(base_iterator::operator++(1));
     }
@@ -4341,7 +5772,7 @@ class json_reverse_iterator : public std::reverse_iterator<Base>
     }
 
     /// post-decrement (it--)
-    json_reverse_iterator operator--(int)
+    json_reverse_iterator const operator--(int)
     {
         return static_cast<json_reverse_iterator>(base_iterator::operator--(1));
     }
@@ -4396,11 +5827,25 @@ class json_reverse_iterator : public std::reverse_iterator<Base>
         return it.operator * ();
     }
 };
+}
+}
 
-/////////////////////
-// output adapters //
-/////////////////////
+// #include <nlohmann/detail/output/output_adapters.hpp>
 
+
+#include <algorithm> // copy
+#include <cstddef> // size_t
+#include <ios> // streamsize
+#include <iterator> // back_inserter
+#include <memory> // shared_ptr, make_shared
+#include <ostream> // basic_ostream
+#include <string> // basic_string
+#include <vector> // vector
+
+namespace nlohmann
+{
+namespace detail
+{
 /// abstract output adapter interface
 template<typename CharType> struct output_adapter_protocol
 {
@@ -4456,11 +5901,11 @@ class output_stream_adapter : public output_adapter_protocol<CharType>
 };
 
 /// output adapter for basic_string
-template<typename CharType>
+template<typename CharType, typename StringType = std::basic_string<CharType>>
 class output_string_adapter : public output_adapter_protocol<CharType>
 {
   public:
-    explicit output_string_adapter(std::basic_string<CharType>& s) : str(s) {}
+    explicit output_string_adapter(StringType& s) : str(s) {}
 
     void write_character(CharType c) override
     {
@@ -4473,10 +5918,10 @@ class output_string_adapter : public output_adapter_protocol<CharType>
     }
 
   private:
-    std::basic_string<CharType>& str;
+    StringType& str;
 };
 
-template<typename CharType>
+template<typename CharType, typename StringType = std::basic_string<CharType>>
 class output_adapter
 {
   public:
@@ -4486,8 +5931,8 @@ class output_adapter
     output_adapter(std::basic_ostream<CharType>& s)
         : oa(std::make_shared<output_stream_adapter<CharType>>(s)) {}
 
-    output_adapter(std::basic_string<CharType>& s)
-        : oa(std::make_shared<output_string_adapter<CharType>>(s)) {}
+    output_adapter(StringType& s)
+        : oa(std::make_shared<output_string_adapter<CharType, StringType>>(s)) {}
 
     operator output_adapter_t<CharType>()
     {
@@ -4497,19 +5942,57 @@ class output_adapter
   private:
     output_adapter_t<CharType> oa = nullptr;
 };
+}
+}
 
-//////////////////////////////
-// binary reader and writer //
-//////////////////////////////
+// #include <nlohmann/detail/input/binary_reader.hpp>
+
+
+#include <algorithm> // generate_n
+#include <array> // array
+#include <cassert> // assert
+#include <cmath> // ldexp
+#include <cstddef> // size_t
+#include <cstdint> // uint8_t, uint16_t, uint32_t, uint64_t
+#include <cstdio> // snprintf
+#include <cstring> // memcpy
+#include <iterator> // back_inserter
+#include <limits> // numeric_limits
+#include <string> // char_traits, string
+#include <utility> // make_pair, move
+
+// #include <nlohmann/detail/input/input_adapters.hpp>
+
+// #include <nlohmann/detail/input/json_sax.hpp>
+
+// #include <nlohmann/detail/exceptions.hpp>
+
+// #include <nlohmann/detail/macro_scope.hpp>
+
+// #include <nlohmann/detail/meta/is_sax.hpp>
+
+// #include <nlohmann/detail/value_t.hpp>
+
+
+namespace nlohmann
+{
+namespace detail
+{
+///////////////////
+// binary reader //
+///////////////////
 
 /*!
-@brief deserialization of CBOR and MessagePack values
+@brief deserialization of CBOR, MessagePack, and UBJSON values
 */
-template<typename BasicJsonType>
+template<typename BasicJsonType, typename SAX = json_sax_dom_parser<BasicJsonType>>
 class binary_reader
 {
     using number_integer_t = typename BasicJsonType::number_integer_t;
     using number_unsigned_t = typename BasicJsonType::number_unsigned_t;
+    using number_float_t = typename BasicJsonType::number_float_t;
+    using string_t = typename BasicJsonType::string_t;
+    using json_sax_t = SAX;
 
   public:
     /*!
@@ -4519,49 +6002,63 @@ class binary_reader
     */
     explicit binary_reader(input_adapter_t adapter) : ia(std::move(adapter))
     {
+        (void)detail::is_sax_static_asserts<SAX, BasicJsonType> {};
         assert(ia);
     }
 
     /*!
-    @brief create a JSON value from CBOR input
-
+    @param[in] format  the binary format to parse
+    @param[in] sax_    a SAX event processor
     @param[in] strict  whether to expect the input to be consumed completed
-    @return JSON value created from CBOR input
 
-    @throw parse_error.110 if input ended unexpectedly or the end of file was
-                           not reached when @a strict was set to true
-    @throw parse_error.112 if unsupported byte was read
+    @return
     */
-    BasicJsonType parse_cbor(const bool strict)
+    bool sax_parse(const input_format_t format,
+                   json_sax_t* sax_,
+                   const bool strict = true)
     {
-        const auto res = parse_cbor_internal();
-        if (strict)
+        sax = sax_;
+        bool result = false;
+
+        switch (format)
         {
-            get();
-            check_eof(true);
+            case input_format_t::cbor:
+                result = parse_cbor_internal();
+                break;
+
+            case input_format_t::msgpack:
+                result = parse_msgpack_internal();
+                break;
+
+            case input_format_t::ubjson:
+                result = parse_ubjson_internal();
+                break;
+
+            // LCOV_EXCL_START
+            default:
+                assert(false);
+                // LCOV_EXCL_STOP
         }
-        return res;
-    }
 
-    /*!
-    @brief create a JSON value from MessagePack input
-
-    @param[in] strict  whether to expect the input to be consumed completed
-    @return JSON value created from MessagePack input
-
-    @throw parse_error.110 if input ended unexpectedly or the end of file was
-                           not reached when @a strict was set to true
-    @throw parse_error.112 if unsupported byte was read
-    */
-    BasicJsonType parse_msgpack(const bool strict)
-    {
-        const auto res = parse_msgpack_internal();
-        if (strict)
+        // strict mode: next byte must be EOF
+        if (result and strict)
         {
-            get();
-            check_eof(true);
+            if (format == input_format_t::ubjson)
+            {
+                get_ignore_noop();
+            }
+            else
+            {
+                get();
+            }
+
+            if (JSON_UNLIKELY(current != std::char_traits<char>::eof()))
+            {
+                return sax->parse_error(chars_read, get_token_string(), parse_error::create(110, chars_read, "expected end of input"));
+            }
         }
-        return res;
+
+        return result;
     }
 
     /*!
@@ -4581,14 +6078,16 @@ class binary_reader
     @param[in] get_char  whether a new character should be retrieved from the
                          input (true, default) or whether the last read
                          character should be considered instead
+
+    @return whether a valid CBOR value was passed to the SAX parser
     */
-    BasicJsonType parse_cbor_internal(const bool get_char = true)
+    bool parse_cbor_internal(const bool get_char = true)
     {
         switch (get_char ? get() : current)
         {
             // EOF
             case std::char_traits<char>::eof():
-                JSON_THROW(parse_error::create(110, chars_read, "unexpected end of input"));
+                return unexpect_eof();
 
             // Integer 0x00..0x17 (0..23)
             case 0x00:
@@ -4601,12 +6100,12 @@ class binary_reader
             case 0x07:
             case 0x08:
             case 0x09:
-            case 0x0a:
-            case 0x0b:
-            case 0x0c:
-            case 0x0d:
-            case 0x0e:
-            case 0x0f:
+            case 0x0A:
+            case 0x0B:
+            case 0x0C:
+            case 0x0D:
+            case 0x0E:
+            case 0x0F:
             case 0x10:
             case 0x11:
             case 0x12:
@@ -4615,19 +6114,31 @@ class binary_reader
             case 0x15:
             case 0x16:
             case 0x17:
-                return static_cast<number_unsigned_t>(current);
+                return sax->number_unsigned(static_cast<number_unsigned_t>(current));
 
             case 0x18: // Unsigned integer (one-byte uint8_t follows)
-                return get_number<uint8_t>();
+            {
+                uint8_t number;
+                return get_number(number) and sax->number_unsigned(number);
+            }
 
             case 0x19: // Unsigned integer (two-byte uint16_t follows)
-                return get_number<uint16_t>();
+            {
+                uint16_t number;
+                return get_number(number) and sax->number_unsigned(number);
+            }
 
-            case 0x1a: // Unsigned integer (four-byte uint32_t follows)
-                return get_number<uint32_t>();
+            case 0x1A: // Unsigned integer (four-byte uint32_t follows)
+            {
+                uint32_t number;
+                return get_number(number) and sax->number_unsigned(number);
+            }
 
-            case 0x1b: // Unsigned integer (eight-byte uint64_t follows)
-                return get_number<uint64_t>();
+            case 0x1B: // Unsigned integer (eight-byte uint64_t follows)
+            {
+                uint64_t number;
+                return get_number(number) and sax->number_unsigned(number);
+            }
 
             // Negative integer -1-0x00..-1-0x17 (-1..-24)
             case 0x20:
@@ -4640,12 +6151,12 @@ class binary_reader
             case 0x27:
             case 0x28:
             case 0x29:
-            case 0x2a:
-            case 0x2b:
-            case 0x2c:
-            case 0x2d:
-            case 0x2e:
-            case 0x2f:
+            case 0x2A:
+            case 0x2B:
+            case 0x2C:
+            case 0x2D:
+            case 0x2E:
+            case 0x2F:
             case 0x30:
             case 0x31:
             case 0x32:
@@ -4654,28 +6165,31 @@ class binary_reader
             case 0x35:
             case 0x36:
             case 0x37:
-                return static_cast<int8_t>(0x20 - 1 - current);
+                return sax->number_integer(static_cast<int8_t>(0x20 - 1 - current));
 
             case 0x38: // Negative integer (one-byte uint8_t follows)
             {
-                // must be uint8_t !
-                return static_cast<number_integer_t>(-1) - get_number<uint8_t>();
+                uint8_t number;
+                return get_number(number) and sax->number_integer(static_cast<number_integer_t>(-1) - number);
             }
 
             case 0x39: // Negative integer -1-n (two-byte uint16_t follows)
             {
-                return static_cast<number_integer_t>(-1) - get_number<uint16_t>();
+                uint16_t number;
+                return get_number(number) and sax->number_integer(static_cast<number_integer_t>(-1) - number);
             }
 
-            case 0x3a: // Negative integer -1-n (four-byte uint32_t follows)
+            case 0x3A: // Negative integer -1-n (four-byte uint32_t follows)
             {
-                return static_cast<number_integer_t>(-1) - get_number<uint32_t>();
+                uint32_t number;
+                return get_number(number) and sax->number_integer(static_cast<number_integer_t>(-1) - number);
             }
 
-            case 0x3b: // Negative integer -1-n (eight-byte uint64_t follows)
+            case 0x3B: // Negative integer -1-n (eight-byte uint64_t follows)
             {
-                return static_cast<number_integer_t>(-1) -
-                       static_cast<number_integer_t>(get_number<uint64_t>());
+                uint64_t number;
+                return get_number(number) and sax->number_integer(static_cast<number_integer_t>(-1)
+                        - static_cast<number_integer_t>(number));
             }
 
             // UTF-8 string (0x00..0x17 bytes follow)
@@ -4689,12 +6203,12 @@ class binary_reader
             case 0x67:
             case 0x68:
             case 0x69:
-            case 0x6a:
-            case 0x6b:
-            case 0x6c:
-            case 0x6d:
-            case 0x6e:
-            case 0x6f:
+            case 0x6A:
+            case 0x6B:
+            case 0x6C:
+            case 0x6D:
+            case 0x6E:
+            case 0x6F:
             case 0x70:
             case 0x71:
             case 0x72:
@@ -4705,11 +6219,12 @@ class binary_reader
             case 0x77:
             case 0x78: // UTF-8 string (one-byte uint8_t for n follows)
             case 0x79: // UTF-8 string (two-byte uint16_t for n follow)
-            case 0x7a: // UTF-8 string (four-byte uint32_t for n follow)
-            case 0x7b: // UTF-8 string (eight-byte uint64_t for n follow)
-            case 0x7f: // UTF-8 string (indefinite length)
+            case 0x7A: // UTF-8 string (four-byte uint32_t for n follow)
+            case 0x7B: // UTF-8 string (eight-byte uint64_t for n follow)
+            case 0x7F: // UTF-8 string (indefinite length)
             {
-                return get_cbor_string();
+                string_t s;
+                return get_cbor_string(s) and sax->string(s);
             }
 
             // array (0x00..0x17 data items follow)
@@ -4723,12 +6238,12 @@ class binary_reader
             case 0x87:
             case 0x88:
             case 0x89:
-            case 0x8a:
-            case 0x8b:
-            case 0x8c:
-            case 0x8d:
-            case 0x8e:
-            case 0x8f:
+            case 0x8A:
+            case 0x8B:
+            case 0x8C:
+            case 0x8D:
+            case 0x8E:
+            case 0x8F:
             case 0x90:
             case 0x91:
             case 0x92:
@@ -4737,121 +6252,110 @@ class binary_reader
             case 0x95:
             case 0x96:
             case 0x97:
-            {
-                return get_cbor_array(current & 0x1f);
-            }
+                return get_cbor_array(static_cast<std::size_t>(current & 0x1F));
 
             case 0x98: // array (one-byte uint8_t for n follows)
             {
-                return get_cbor_array(get_number<uint8_t>());
+                uint8_t len;
+                return get_number(len) and get_cbor_array(static_cast<std::size_t>(len));
             }
 
             case 0x99: // array (two-byte uint16_t for n follow)
             {
-                return get_cbor_array(get_number<uint16_t>());
+                uint16_t len;
+                return get_number(len) and get_cbor_array(static_cast<std::size_t>(len));
             }
 
-            case 0x9a: // array (four-byte uint32_t for n follow)
+            case 0x9A: // array (four-byte uint32_t for n follow)
             {
-                return get_cbor_array(get_number<uint32_t>());
+                uint32_t len;
+                return get_number(len) and get_cbor_array(static_cast<std::size_t>(len));
             }
 
-            case 0x9b: // array (eight-byte uint64_t for n follow)
+            case 0x9B: // array (eight-byte uint64_t for n follow)
             {
-                return get_cbor_array(get_number<uint64_t>());
+                uint64_t len;
+                return get_number(len) and get_cbor_array(static_cast<std::size_t>(len));
             }
 
-            case 0x9f: // array (indefinite length)
-            {
-                BasicJsonType result = value_t::array;
-                while (get() != 0xff)
-                {
-                    result.push_back(parse_cbor_internal(false));
-                }
-                return result;
-            }
+            case 0x9F: // array (indefinite length)
+                return get_cbor_array(std::size_t(-1));
 
             // map (0x00..0x17 pairs of data items follow)
-            case 0xa0:
-            case 0xa1:
-            case 0xa2:
-            case 0xa3:
-            case 0xa4:
-            case 0xa5:
-            case 0xa6:
-            case 0xa7:
-            case 0xa8:
-            case 0xa9:
-            case 0xaa:
-            case 0xab:
-            case 0xac:
-            case 0xad:
-            case 0xae:
-            case 0xaf:
-            case 0xb0:
-            case 0xb1:
-            case 0xb2:
-            case 0xb3:
-            case 0xb4:
-            case 0xb5:
-            case 0xb6:
-            case 0xb7:
+            case 0xA0:
+            case 0xA1:
+            case 0xA2:
+            case 0xA3:
+            case 0xA4:
+            case 0xA5:
+            case 0xA6:
+            case 0xA7:
+            case 0xA8:
+            case 0xA9:
+            case 0xAA:
+            case 0xAB:
+            case 0xAC:
+            case 0xAD:
+            case 0xAE:
+            case 0xAF:
+            case 0xB0:
+            case 0xB1:
+            case 0xB2:
+            case 0xB3:
+            case 0xB4:
+            case 0xB5:
+            case 0xB6:
+            case 0xB7:
+                return get_cbor_object(static_cast<std::size_t>(current & 0x1F));
+
+            case 0xB8: // map (one-byte uint8_t for n follows)
             {
-                return get_cbor_object(current & 0x1f);
+                uint8_t len;
+                return get_number(len) and get_cbor_object(static_cast<std::size_t>(len));
             }
 
-            case 0xb8: // map (one-byte uint8_t for n follows)
+            case 0xB9: // map (two-byte uint16_t for n follow)
             {
-                return get_cbor_object(get_number<uint8_t>());
+                uint16_t len;
+                return get_number(len) and get_cbor_object(static_cast<std::size_t>(len));
             }
 
-            case 0xb9: // map (two-byte uint16_t for n follow)
+            case 0xBA: // map (four-byte uint32_t for n follow)
             {
-                return get_cbor_object(get_number<uint16_t>());
+                uint32_t len;
+                return get_number(len) and get_cbor_object(static_cast<std::size_t>(len));
             }
 
-            case 0xba: // map (four-byte uint32_t for n follow)
+            case 0xBB: // map (eight-byte uint64_t for n follow)
             {
-                return get_cbor_object(get_number<uint32_t>());
+                uint64_t len;
+                return get_number(len) and get_cbor_object(static_cast<std::size_t>(len));
             }
 
-            case 0xbb: // map (eight-byte uint64_t for n follow)
-            {
-                return get_cbor_object(get_number<uint64_t>());
-            }
+            case 0xBF: // map (indefinite length)
+                return get_cbor_object(std::size_t(-1));
 
-            case 0xbf: // map (indefinite length)
-            {
-                BasicJsonType result = value_t::object;
-                while (get() != 0xff)
-                {
-                    auto key = get_cbor_string();
-                    result[key] = parse_cbor_internal();
-                }
-                return result;
-            }
+            case 0xF4: // false
+                return sax->boolean(false);
 
-            case 0xf4: // false
-            {
-                return false;
-            }
+            case 0xF5: // true
+                return sax->boolean(true);
 
-            case 0xf5: // true
-            {
-                return true;
-            }
+            case 0xF6: // null
+                return sax->null();
 
-            case 0xf6: // null
-            {
-                return value_t::null;
-            }
-
-            case 0xf9: // Half-Precision Float (two-byte IEEE 754)
+            case 0xF9: // Half-Precision Float (two-byte IEEE 754)
             {
                 const int byte1 = get();
-                check_eof();
+                if (JSON_UNLIKELY(not unexpect_eof()))
+                {
+                    return false;
+                }
                 const int byte2 = get();
-                check_eof();
+                if (JSON_UNLIKELY(not unexpect_eof()))
+                {
+                    return false;
+                }
 
                 // code from RFC 7049, Appendix D, Figure 3:
                 // As half-precision floating-point numbers were only added
@@ -4862,51 +6366,59 @@ class binary_reader
                 // half-precision floating-point numbers in the C language
                 // is shown in Fig. 3.
                 const int half = (byte1 << 8) + byte2;
-                const int exp = (half >> 10) & 0x1f;
-                const int mant = half & 0x3ff;
-                double val;
-                if (exp == 0)
+                const double val = [&half]
                 {
-                    val = std::ldexp(mant, -24);
-                }
-                else if (exp != 31)
-                {
-                    val = std::ldexp(mant + 1024, exp - 25);
-                }
-                else
-                {
-                    val = (mant == 0) ? std::numeric_limits<double>::infinity()
-                          : std::numeric_limits<double>::quiet_NaN();
-                }
-                return (half & 0x8000) != 0 ? -val : val;
+                    const int exp = (half >> 10) & 0x1F;
+                    const int mant = half & 0x3FF;
+                    assert(0 <= exp and exp <= 32);
+                    assert(0 <= mant and mant <= 1024);
+                    switch (exp)
+                    {
+                        case 0:
+                            return std::ldexp(mant, -24);
+                        case 31:
+                            return (mant == 0)
+                            ? std::numeric_limits<double>::infinity()
+                            : std::numeric_limits<double>::quiet_NaN();
+                        default:
+                            return std::ldexp(mant + 1024, exp - 25);
+                    }
+                }();
+                return sax->number_float((half & 0x8000) != 0
+                                         ? static_cast<number_float_t>(-val)
+                                         : static_cast<number_float_t>(val), "");
             }
 
-            case 0xfa: // Single-Precision Float (four-byte IEEE 754)
+            case 0xFA: // Single-Precision Float (four-byte IEEE 754)
             {
-                return get_number<float>();
+                float number;
+                return get_number(number) and sax->number_float(static_cast<number_float_t>(number), "");
             }
 
-            case 0xfb: // Double-Precision Float (eight-byte IEEE 754)
+            case 0xFB: // Double-Precision Float (eight-byte IEEE 754)
             {
-                return get_number<double>();
+                double number;
+                return get_number(number) and sax->number_float(static_cast<number_float_t>(number), "");
             }
 
             default: // anything else (0xFF is handled inside the other types)
             {
-                std::stringstream ss;
-                ss << std::setw(2) << std::setfill('0') << std::hex << current;
-                JSON_THROW(parse_error::create(112, chars_read, "error reading CBOR; last byte: 0x" + ss.str()));
+                auto last_token = get_token_string();
+                return sax->parse_error(chars_read, last_token, parse_error::create(112, chars_read, "error reading CBOR; last byte: 0x" + last_token));
             }
         }
     }
 
-    BasicJsonType parse_msgpack_internal()
+    /*!
+    @return whether a valid MessagePack value was passed to the SAX parser
+    */
+    bool parse_msgpack_internal()
     {
         switch (get())
         {
             // EOF
             case std::char_traits<char>::eof():
-                JSON_THROW(parse_error::create(110, chars_read, "unexpected end of input"));
+                return unexpect_eof();
 
             // positive fixint
             case 0x00:
@@ -4919,12 +6431,12 @@ class binary_reader
             case 0x07:
             case 0x08:
             case 0x09:
-            case 0x0a:
-            case 0x0b:
-            case 0x0c:
-            case 0x0d:
-            case 0x0e:
-            case 0x0f:
+            case 0x0A:
+            case 0x0B:
+            case 0x0C:
+            case 0x0D:
+            case 0x0E:
+            case 0x0F:
             case 0x10:
             case 0x11:
             case 0x12:
@@ -4935,12 +6447,12 @@ class binary_reader
             case 0x17:
             case 0x18:
             case 0x19:
-            case 0x1a:
-            case 0x1b:
-            case 0x1c:
-            case 0x1d:
-            case 0x1e:
-            case 0x1f:
+            case 0x1A:
+            case 0x1B:
+            case 0x1C:
+            case 0x1D:
+            case 0x1E:
+            case 0x1F:
             case 0x20:
             case 0x21:
             case 0x22:
@@ -4951,12 +6463,12 @@ class binary_reader
             case 0x27:
             case 0x28:
             case 0x29:
-            case 0x2a:
-            case 0x2b:
-            case 0x2c:
-            case 0x2d:
-            case 0x2e:
-            case 0x2f:
+            case 0x2A:
+            case 0x2B:
+            case 0x2C:
+            case 0x2D:
+            case 0x2E:
+            case 0x2F:
             case 0x30:
             case 0x31:
             case 0x32:
@@ -4967,12 +6479,12 @@ class binary_reader
             case 0x37:
             case 0x38:
             case 0x39:
-            case 0x3a:
-            case 0x3b:
-            case 0x3c:
-            case 0x3d:
-            case 0x3e:
-            case 0x3f:
+            case 0x3A:
+            case 0x3B:
+            case 0x3C:
+            case 0x3D:
+            case 0x3E:
+            case 0x3F:
             case 0x40:
             case 0x41:
             case 0x42:
@@ -4983,12 +6495,12 @@ class binary_reader
             case 0x47:
             case 0x48:
             case 0x49:
-            case 0x4a:
-            case 0x4b:
-            case 0x4c:
-            case 0x4d:
-            case 0x4e:
-            case 0x4f:
+            case 0x4A:
+            case 0x4B:
+            case 0x4C:
+            case 0x4D:
+            case 0x4E:
+            case 0x4F:
             case 0x50:
             case 0x51:
             case 0x52:
@@ -4999,12 +6511,12 @@ class binary_reader
             case 0x57:
             case 0x58:
             case 0x59:
-            case 0x5a:
-            case 0x5b:
-            case 0x5c:
-            case 0x5d:
-            case 0x5e:
-            case 0x5f:
+            case 0x5A:
+            case 0x5B:
+            case 0x5C:
+            case 0x5D:
+            case 0x5E:
+            case 0x5F:
             case 0x60:
             case 0x61:
             case 0x62:
@@ -5015,12 +6527,12 @@ class binary_reader
             case 0x67:
             case 0x68:
             case 0x69:
-            case 0x6a:
-            case 0x6b:
-            case 0x6c:
-            case 0x6d:
-            case 0x6e:
-            case 0x6f:
+            case 0x6A:
+            case 0x6B:
+            case 0x6C:
+            case 0x6D:
+            case 0x6E:
+            case 0x6F:
             case 0x70:
             case 0x71:
             case 0x72:
@@ -5031,13 +6543,13 @@ class binary_reader
             case 0x77:
             case 0x78:
             case 0x79:
-            case 0x7a:
-            case 0x7b:
-            case 0x7c:
-            case 0x7d:
-            case 0x7e:
-            case 0x7f:
-                return static_cast<number_unsigned_t>(current);
+            case 0x7A:
+            case 0x7B:
+            case 0x7C:
+            case 0x7D:
+            case 0x7E:
+            case 0x7F:
+                return sax->number_unsigned(static_cast<number_unsigned_t>(current));
 
             // fixmap
             case 0x80:
@@ -5050,15 +6562,13 @@ class binary_reader
             case 0x87:
             case 0x88:
             case 0x89:
-            case 0x8a:
-            case 0x8b:
-            case 0x8c:
-            case 0x8d:
-            case 0x8e:
-            case 0x8f:
-            {
-                return get_msgpack_object(current & 0x0f);
-            }
+            case 0x8A:
+            case 0x8B:
+            case 0x8C:
+            case 0x8D:
+            case 0x8E:
+            case 0x8F:
+                return get_msgpack_object(static_cast<std::size_t>(current & 0x0F));
 
             // fixarray
             case 0x90:
@@ -5071,165 +6581,213 @@ class binary_reader
             case 0x97:
             case 0x98:
             case 0x99:
-            case 0x9a:
-            case 0x9b:
-            case 0x9c:
-            case 0x9d:
-            case 0x9e:
-            case 0x9f:
-            {
-                return get_msgpack_array(current & 0x0f);
-            }
+            case 0x9A:
+            case 0x9B:
+            case 0x9C:
+            case 0x9D:
+            case 0x9E:
+            case 0x9F:
+                return get_msgpack_array(static_cast<std::size_t>(current & 0x0F));
 
             // fixstr
-            case 0xa0:
-            case 0xa1:
-            case 0xa2:
-            case 0xa3:
-            case 0xa4:
-            case 0xa5:
-            case 0xa6:
-            case 0xa7:
-            case 0xa8:
-            case 0xa9:
-            case 0xaa:
-            case 0xab:
-            case 0xac:
-            case 0xad:
-            case 0xae:
-            case 0xaf:
-            case 0xb0:
-            case 0xb1:
-            case 0xb2:
-            case 0xb3:
-            case 0xb4:
-            case 0xb5:
-            case 0xb6:
-            case 0xb7:
-            case 0xb8:
-            case 0xb9:
-            case 0xba:
-            case 0xbb:
-            case 0xbc:
-            case 0xbd:
-            case 0xbe:
-            case 0xbf:
-                return get_msgpack_string();
-
-            case 0xc0: // nil
-                return value_t::null;
-
-            case 0xc2: // false
-                return false;
-
-            case 0xc3: // true
-                return true;
-
-            case 0xca: // float 32
-                return get_number<float>();
-
-            case 0xcb: // float 64
-                return get_number<double>();
-
-            case 0xcc: // uint 8
-                return get_number<uint8_t>();
-
-            case 0xcd: // uint 16
-                return get_number<uint16_t>();
-
-            case 0xce: // uint 32
-                return get_number<uint32_t>();
-
-            case 0xcf: // uint 64
-                return get_number<uint64_t>();
-
-            case 0xd0: // int 8
-                return get_number<int8_t>();
-
-            case 0xd1: // int 16
-                return get_number<int16_t>();
-
-            case 0xd2: // int 32
-                return get_number<int32_t>();
-
-            case 0xd3: // int 64
-                return get_number<int64_t>();
-
-            case 0xd9: // str 8
-            case 0xda: // str 16
-            case 0xdb: // str 32
-                return get_msgpack_string();
-
-            case 0xdc: // array 16
+            case 0xA0:
+            case 0xA1:
+            case 0xA2:
+            case 0xA3:
+            case 0xA4:
+            case 0xA5:
+            case 0xA6:
+            case 0xA7:
+            case 0xA8:
+            case 0xA9:
+            case 0xAA:
+            case 0xAB:
+            case 0xAC:
+            case 0xAD:
+            case 0xAE:
+            case 0xAF:
+            case 0xB0:
+            case 0xB1:
+            case 0xB2:
+            case 0xB3:
+            case 0xB4:
+            case 0xB5:
+            case 0xB6:
+            case 0xB7:
+            case 0xB8:
+            case 0xB9:
+            case 0xBA:
+            case 0xBB:
+            case 0xBC:
+            case 0xBD:
+            case 0xBE:
+            case 0xBF:
             {
-                return get_msgpack_array(get_number<uint16_t>());
+                string_t s;
+                return get_msgpack_string(s) and sax->string(s);
             }
 
-            case 0xdd: // array 32
+            case 0xC0: // nil
+                return sax->null();
+
+            case 0xC2: // false
+                return sax->boolean(false);
+
+            case 0xC3: // true
+                return sax->boolean(true);
+
+            case 0xCA: // float 32
             {
-                return get_msgpack_array(get_number<uint32_t>());
+                float number;
+                return get_number(number) and sax->number_float(static_cast<number_float_t>(number), "");
             }
 
-            case 0xde: // map 16
+            case 0xCB: // float 64
             {
-                return get_msgpack_object(get_number<uint16_t>());
+                double number;
+                return get_number(number) and sax->number_float(static_cast<number_float_t>(number), "");
             }
 
-            case 0xdf: // map 32
+            case 0xCC: // uint 8
             {
-                return get_msgpack_object(get_number<uint32_t>());
+                uint8_t number;
+                return get_number(number) and sax->number_unsigned(number);
             }
 
-            // positive fixint
-            case 0xe0:
-            case 0xe1:
-            case 0xe2:
-            case 0xe3:
-            case 0xe4:
-            case 0xe5:
-            case 0xe6:
-            case 0xe7:
-            case 0xe8:
-            case 0xe9:
-            case 0xea:
-            case 0xeb:
-            case 0xec:
-            case 0xed:
-            case 0xee:
-            case 0xef:
-            case 0xf0:
-            case 0xf1:
-            case 0xf2:
-            case 0xf3:
-            case 0xf4:
-            case 0xf5:
-            case 0xf6:
-            case 0xf7:
-            case 0xf8:
-            case 0xf9:
-            case 0xfa:
-            case 0xfb:
-            case 0xfc:
-            case 0xfd:
-            case 0xfe:
-            case 0xff:
-                return static_cast<int8_t>(current);
+            case 0xCD: // uint 16
+            {
+                uint16_t number;
+                return get_number(number) and sax->number_unsigned(number);
+            }
+
+            case 0xCE: // uint 32
+            {
+                uint32_t number;
+                return get_number(number) and sax->number_unsigned(number);
+            }
+
+            case 0xCF: // uint 64
+            {
+                uint64_t number;
+                return get_number(number) and sax->number_unsigned(number);
+            }
+
+            case 0xD0: // int 8
+            {
+                int8_t number;
+                return get_number(number) and sax->number_integer(number);
+            }
+
+            case 0xD1: // int 16
+            {
+                int16_t number;
+                return get_number(number) and sax->number_integer(number);
+            }
+
+            case 0xD2: // int 32
+            {
+                int32_t number;
+                return get_number(number) and sax->number_integer(number);
+            }
+
+            case 0xD3: // int 64
+            {
+                int64_t number;
+                return get_number(number) and sax->number_integer(number);
+            }
+
+            case 0xD9: // str 8
+            case 0xDA: // str 16
+            case 0xDB: // str 32
+            {
+                string_t s;
+                return get_msgpack_string(s) and sax->string(s);
+            }
+
+            case 0xDC: // array 16
+            {
+                uint16_t len;
+                return get_number(len) and get_msgpack_array(static_cast<std::size_t>(len));
+            }
+
+            case 0xDD: // array 32
+            {
+                uint32_t len;
+                return get_number(len) and get_msgpack_array(static_cast<std::size_t>(len));
+            }
+
+            case 0xDE: // map 16
+            {
+                uint16_t len;
+                return get_number(len) and get_msgpack_object(static_cast<std::size_t>(len));
+            }
+
+            case 0xDF: // map 32
+            {
+                uint32_t len;
+                return get_number(len) and get_msgpack_object(static_cast<std::size_t>(len));
+            }
+
+            // negative fixint
+            case 0xE0:
+            case 0xE1:
+            case 0xE2:
+            case 0xE3:
+            case 0xE4:
+            case 0xE5:
+            case 0xE6:
+            case 0xE7:
+            case 0xE8:
+            case 0xE9:
+            case 0xEA:
+            case 0xEB:
+            case 0xEC:
+            case 0xED:
+            case 0xEE:
+            case 0xEF:
+            case 0xF0:
+            case 0xF1:
+            case 0xF2:
+            case 0xF3:
+            case 0xF4:
+            case 0xF5:
+            case 0xF6:
+            case 0xF7:
+            case 0xF8:
+            case 0xF9:
+            case 0xFA:
+            case 0xFB:
+            case 0xFC:
+            case 0xFD:
+            case 0xFE:
+            case 0xFF:
+                return sax->number_integer(static_cast<int8_t>(current));
 
             default: // anything else
             {
-                std::stringstream ss;
-                ss << std::setw(2) << std::setfill('0') << std::hex << current;
-                JSON_THROW(parse_error::create(112, chars_read,
-                                               "error reading MessagePack; last byte: 0x" + ss.str()));
+                auto last_token = get_token_string();
+                return sax->parse_error(chars_read, last_token, parse_error::create(112, chars_read, "error reading MessagePack; last byte: 0x" + last_token));
             }
         }
     }
 
+    /*!
+    @param[in] get_char  whether a new character should be retrieved from the
+                         input (true, default) or whether the last read
+                         character should be considered instead
+
+    @return whether a valid UBJSON value was passed to the SAX parser
+    */
+    bool parse_ubjson_internal(const bool get_char = true)
+    {
+        return get_ubjson_value(get_char ? get_ignore_noop() : current);
+    }
+
     /*!
     @brief get next character from the input
 
     This function provides the interface to the used input adapter. It does
-    not throw in case the input reached EOF, but returns
+    not throw in case the input reached EOF, but returns a -'ve valued
     `std::char_traits<char>::eof()` in that case.
 
     @return character read from the input
@@ -5240,27 +6798,44 @@ class binary_reader
         return (current = ia->get_character());
     }
 
+    /*!
+    @return character read from the input after ignoring all 'N' entries
+    */
+    int get_ignore_noop()
+    {
+        do
+        {
+            get();
+        }
+        while (current == 'N');
+
+        return current;
+    }
+
     /*
     @brief read a number from the input
 
     @tparam NumberType the type of the number
+    @param[out] result  number of type @a NumberType
 
-    @return number of type @a NumberType
+    @return whether conversion completed
 
     @note This function needs to respect the system's endianess, because
-          bytes in CBOR and MessagePack are stored in network order (big
-          endian) and therefore need reordering on little endian systems.
-
-    @throw parse_error.110 if input has less than `sizeof(NumberType)` bytes
+          bytes in CBOR, MessagePack, and UBJSON are stored in network order
+          (big endian) and therefore need reordering on little endian systems.
     */
-    template<typename NumberType> NumberType get_number()
+    template<typename NumberType>
+    bool get_number(NumberType& result)
     {
         // step 1: read input into array with system's byte order
         std::array<uint8_t, sizeof(NumberType)> vec;
         for (std::size_t i = 0; i < sizeof(NumberType); ++i)
         {
             get();
-            check_eof();
+            if (JSON_UNLIKELY(not unexpect_eof()))
+            {
+                return false;
+            }
 
             // reverse byte order prior to conversion if necessary
             if (is_little_endian)
@@ -5274,35 +6849,37 @@ class binary_reader
         }
 
         // step 2: convert array into number of type T and return
-        NumberType result;
         std::memcpy(&result, vec.data(), sizeof(NumberType));
-        return result;
+        return true;
     }
 
     /*!
     @brief create a string by reading characters from the input
 
-    @param[in] len number of bytes to read
+    @tparam NumberType the type of the number
+    @param[in] len number of characters to read
+    @param[out] string created by reading @a len bytes
+
+    @return whether string creation completed
 
     @note We can not reserve @a len bytes for the result, because @a len
-          may be too large. Usually, @ref check_eof() detects the end of
+          may be too large. Usually, @ref unexpect_eof() detects the end of
           the input before we run out of string memory.
-
-    @return string created by reading @a len bytes
-
-    @throw parse_error.110 if input has less than @a len bytes
     */
     template<typename NumberType>
-    std::string get_string(const NumberType len)
+    bool get_string(const NumberType len, string_t& result)
     {
-        std::string result;
-        std::generate_n(std::back_inserter(result), len, [this]()
+        bool success = true;
+        std::generate_n(std::back_inserter(result), len, [this, &success]()
         {
             get();
-            check_eof();
-            return current;
+            if (JSON_UNLIKELY(not unexpect_eof()))
+            {
+                success = false;
+            }
+            return static_cast<char>(current);
         });
-        return result;
+        return success;
     }
 
     /*!
@@ -5312,14 +6889,16 @@ class binary_reader
     string length and then copies this number of bytes into a string.
     Additionally, CBOR's strings with indefinite lengths are supported.
 
-    @return string
+    @param[out] result  created string
 
-    @throw parse_error.110 if input ended
-    @throw parse_error.113 if an unexpected byte is read
+    @return whether string creation completed
     */
-    std::string get_cbor_string()
+    bool get_cbor_string(string_t& result)
     {
-        check_eof();
+        if (JSON_UNLIKELY(not unexpect_eof()))
+        {
+            return false;
+        }
 
         switch (current)
         {
@@ -5334,12 +6913,12 @@ class binary_reader
             case 0x67:
             case 0x68:
             case 0x69:
-            case 0x6a:
-            case 0x6b:
-            case 0x6c:
-            case 0x6d:
-            case 0x6e:
-            case 0x6f:
+            case 0x6A:
+            case 0x6B:
+            case 0x6C:
+            case 0x6D:
+            case 0x6E:
+            case 0x6F:
             case 0x70:
             case 0x71:
             case 0x72:
@@ -5349,74 +6928,137 @@ class binary_reader
             case 0x76:
             case 0x77:
             {
-                return get_string(current & 0x1f);
+                return get_string(current & 0x1F, result);
             }
 
             case 0x78: // UTF-8 string (one-byte uint8_t for n follows)
             {
-                return get_string(get_number<uint8_t>());
+                uint8_t len;
+                return get_number(len) and get_string(len, result);
             }
 
             case 0x79: // UTF-8 string (two-byte uint16_t for n follow)
             {
-                return get_string(get_number<uint16_t>());
+                uint16_t len;
+                return get_number(len) and get_string(len, result);
             }
 
-            case 0x7a: // UTF-8 string (four-byte uint32_t for n follow)
+            case 0x7A: // UTF-8 string (four-byte uint32_t for n follow)
             {
-                return get_string(get_number<uint32_t>());
+                uint32_t len;
+                return get_number(len) and get_string(len, result);
             }
 
-            case 0x7b: // UTF-8 string (eight-byte uint64_t for n follow)
+            case 0x7B: // UTF-8 string (eight-byte uint64_t for n follow)
             {
-                return get_string(get_number<uint64_t>());
+                uint64_t len;
+                return get_number(len) and get_string(len, result);
             }
 
-            case 0x7f: // UTF-8 string (indefinite length)
+            case 0x7F: // UTF-8 string (indefinite length)
             {
-                std::string result;
-                while (get() != 0xff)
+                while (get() != 0xFF)
                 {
-                    check_eof();
-                    result.push_back(static_cast<char>(current));
+                    string_t chunk;
+                    if (not get_cbor_string(chunk))
+                    {
+                        return false;
+                    }
+                    result.append(chunk);
                 }
-                return result;
+                return true;
             }
 
             default:
             {
-                std::stringstream ss;
-                ss << std::setw(2) << std::setfill('0') << std::hex << current;
-                JSON_THROW(parse_error::create(113, chars_read, "expected a CBOR string; last byte: 0x" + ss.str()));
+                auto last_token = get_token_string();
+                return sax->parse_error(chars_read, last_token, parse_error::create(113, chars_read, "expected a CBOR string; last byte: 0x" + last_token));
             }
         }
     }
 
-    template<typename NumberType>
-    BasicJsonType get_cbor_array(const NumberType len)
+    /*!
+    @param[in] len  the length of the array or std::size_t(-1) for an
+                    array of indefinite size
+    @return whether array creation completed
+    */
+    bool get_cbor_array(const std::size_t len)
     {
-        BasicJsonType result = value_t::array;
-        std::generate_n(std::back_inserter(*result.m_value.array), len, [this]()
+        if (JSON_UNLIKELY(not sax->start_array(len)))
         {
-            return parse_cbor_internal();
-        });
-        return result;
+            return false;
+        }
+
+        if (len != std::size_t(-1))
+            for (std::size_t i = 0; i < len; ++i)
+            {
+                if (JSON_UNLIKELY(not parse_cbor_internal()))
+                {
+                    return false;
+                }
+            }
+        else
+        {
+            while (get() != 0xFF)
+            {
+                if (JSON_UNLIKELY(not parse_cbor_internal(false)))
+                {
+                    return false;
+                }
+            }
+        }
+
+        return sax->end_array();
     }
 
-    template<typename NumberType>
-    BasicJsonType get_cbor_object(const NumberType len)
+    /*!
+    @param[in] len  the length of the object or std::size_t(-1) for an
+                    object of indefinite size
+    @return whether object creation completed
+    */
+    bool get_cbor_object(const std::size_t len)
     {
-        BasicJsonType result = value_t::object;
-        std::generate_n(std::inserter(*result.m_value.object,
-                                      result.m_value.object->end()),
-                        len, [this]()
+        if (not JSON_UNLIKELY(sax->start_object(len)))
         {
-            get();
-            auto key = get_cbor_string();
-            auto val = parse_cbor_internal();
-            return std::make_pair(std::move(key), std::move(val));
-        });
-        return result;
+            return false;
+        }
+
+        string_t key;
+        if (len != std::size_t(-1))
+        {
+            for (std::size_t i = 0; i < len; ++i)
+            {
+                get();
+                if (JSON_UNLIKELY(not get_cbor_string(key) or not sax->key(key)))
+                {
+                    return false;
+                }
+
+                if (JSON_UNLIKELY(not parse_cbor_internal()))
+                {
+                    return false;
+                }
+                key.clear();
+            }
+        }
+        else
+        {
+            while (get() != 0xFF)
+            {
+                if (JSON_UNLIKELY(not get_cbor_string(key) or not sax->key(key)))
+                {
+                    return false;
+                }
+
+                if (JSON_UNLIKELY(not parse_cbor_internal()))
+                {
+                    return false;
+                }
+                key.clear();
+            }
+        }
+
+        return sax->end_object();
     }
 
     /*!
@@ -5425,126 +7067,568 @@ class binary_reader
     This function first reads starting bytes to determine the expected
     string length and then copies this number of bytes into a string.
 
-    @return string
+    @param[out] result  created string
 
-    @throw parse_error.110 if input ended
-    @throw parse_error.113 if an unexpected byte is read
+    @return whether string creation completed
     */
-    std::string get_msgpack_string()
+    bool get_msgpack_string(string_t& result)
     {
-        check_eof();
+        if (JSON_UNLIKELY(not unexpect_eof()))
+        {
+            return false;
+        }
 
         switch (current)
         {
             // fixstr
-            case 0xa0:
-            case 0xa1:
-            case 0xa2:
-            case 0xa3:
-            case 0xa4:
-            case 0xa5:
-            case 0xa6:
-            case 0xa7:
-            case 0xa8:
-            case 0xa9:
-            case 0xaa:
-            case 0xab:
-            case 0xac:
-            case 0xad:
-            case 0xae:
-            case 0xaf:
-            case 0xb0:
-            case 0xb1:
-            case 0xb2:
-            case 0xb3:
-            case 0xb4:
-            case 0xb5:
-            case 0xb6:
-            case 0xb7:
-            case 0xb8:
-            case 0xb9:
-            case 0xba:
-            case 0xbb:
-            case 0xbc:
-            case 0xbd:
-            case 0xbe:
-            case 0xbf:
+            case 0xA0:
+            case 0xA1:
+            case 0xA2:
+            case 0xA3:
+            case 0xA4:
+            case 0xA5:
+            case 0xA6:
+            case 0xA7:
+            case 0xA8:
+            case 0xA9:
+            case 0xAA:
+            case 0xAB:
+            case 0xAC:
+            case 0xAD:
+            case 0xAE:
+            case 0xAF:
+            case 0xB0:
+            case 0xB1:
+            case 0xB2:
+            case 0xB3:
+            case 0xB4:
+            case 0xB5:
+            case 0xB6:
+            case 0xB7:
+            case 0xB8:
+            case 0xB9:
+            case 0xBA:
+            case 0xBB:
+            case 0xBC:
+            case 0xBD:
+            case 0xBE:
+            case 0xBF:
             {
-                return get_string(current & 0x1f);
+                return get_string(current & 0x1F, result);
             }
 
-            case 0xd9: // str 8
+            case 0xD9: // str 8
             {
-                return get_string(get_number<uint8_t>());
+                uint8_t len;
+                return get_number(len) and get_string(len, result);
             }
 
-            case 0xda: // str 16
+            case 0xDA: // str 16
             {
-                return get_string(get_number<uint16_t>());
+                uint16_t len;
+                return get_number(len) and get_string(len, result);
             }
 
-            case 0xdb: // str 32
+            case 0xDB: // str 32
             {
-                return get_string(get_number<uint32_t>());
+                uint32_t len;
+                return get_number(len) and get_string(len, result);
             }
 
             default:
             {
-                std::stringstream ss;
-                ss << std::setw(2) << std::setfill('0') << std::hex << current;
-                JSON_THROW(parse_error::create(113, chars_read,
-                                               "expected a MessagePack string; last byte: 0x" + ss.str()));
+                auto last_token = get_token_string();
+                return sax->parse_error(chars_read, last_token, parse_error::create(113, chars_read, "expected a MessagePack string; last byte: 0x" + last_token));
             }
         }
     }
 
-    template<typename NumberType>
-    BasicJsonType get_msgpack_array(const NumberType len)
+    /*!
+    @param[in] len  the length of the array
+    @return whether array creation completed
+    */
+    bool get_msgpack_array(const std::size_t len)
     {
-        BasicJsonType result = value_t::array;
-        std::generate_n(std::back_inserter(*result.m_value.array), len, [this]()
+        if (JSON_UNLIKELY(not sax->start_array(len)))
         {
-            return parse_msgpack_internal();
-        });
-        return result;
-    }
+            return false;
+        }
 
-    template<typename NumberType>
-    BasicJsonType get_msgpack_object(const NumberType len)
-    {
-        BasicJsonType result = value_t::object;
-        std::generate_n(std::inserter(*result.m_value.object,
-                                      result.m_value.object->end()),
-                        len, [this]()
+        for (std::size_t i = 0; i < len; ++i)
         {
-            get();
-            auto key = get_msgpack_string();
-            auto val = parse_msgpack_internal();
-            return std::make_pair(std::move(key), std::move(val));
-        });
-        return result;
+            if (JSON_UNLIKELY(not parse_msgpack_internal()))
+            {
+                return false;
+            }
+        }
+
+        return sax->end_array();
     }
 
     /*!
-    @brief check if input ended
-    @throw parse_error.110 if input ended
+    @param[in] len  the length of the object
+    @return whether object creation completed
     */
-    void check_eof(const bool expect_eof = false) const
+    bool get_msgpack_object(const std::size_t len)
     {
-        if (expect_eof)
+        if (JSON_UNLIKELY(not sax->start_object(len)))
         {
-            if (JSON_UNLIKELY(current != std::char_traits<char>::eof()))
+            return false;
+        }
+
+        string_t key;
+        for (std::size_t i = 0; i < len; ++i)
+        {
+            get();
+            if (JSON_UNLIKELY(not get_msgpack_string(key) or not sax->key(key)))
             {
-                JSON_THROW(parse_error::create(110, chars_read, "expected end of input"));
+                return false;
+            }
+
+            if (JSON_UNLIKELY(not parse_msgpack_internal()))
+            {
+                return false;
+            }
+            key.clear();
+        }
+
+        return sax->end_object();
+    }
+
+    /*!
+    @brief reads a UBJSON string
+
+    This function is either called after reading the 'S' byte explicitly
+    indicating a string, or in case of an object key where the 'S' byte can be
+    left out.
+
+    @param[out] result   created string
+    @param[in] get_char  whether a new character should be retrieved from the
+                         input (true, default) or whether the last read
+                         character should be considered instead
+
+    @return whether string creation completed
+    */
+    bool get_ubjson_string(string_t& result, const bool get_char = true)
+    {
+        if (get_char)
+        {
+            get();  // TODO: may we ignore N here?
+        }
+
+        if (JSON_UNLIKELY(not unexpect_eof()))
+        {
+            return false;
+        }
+
+        switch (current)
+        {
+            case 'U':
+            {
+                uint8_t len;
+                return get_number(len) and get_string(len, result);
+            }
+
+            case 'i':
+            {
+                int8_t len;
+                return get_number(len) and get_string(len, result);
+            }
+
+            case 'I':
+            {
+                int16_t len;
+                return get_number(len) and get_string(len, result);
+            }
+
+            case 'l':
+            {
+                int32_t len;
+                return get_number(len) and get_string(len, result);
+            }
+
+            case 'L':
+            {
+                int64_t len;
+                return get_number(len) and get_string(len, result);
+            }
+
+            default:
+                auto last_token = get_token_string();
+                return sax->parse_error(chars_read, last_token, parse_error::create(113, chars_read, "expected a UBJSON string; last byte: 0x" + last_token));
+        }
+    }
+
+    /*!
+    @param[out] result  determined size
+    @return whether size determination completed
+    */
+    bool get_ubjson_size_value(std::size_t& result)
+    {
+        switch (get_ignore_noop())
+        {
+            case 'U':
+            {
+                uint8_t number;
+                if (JSON_UNLIKELY(not get_number(number)))
+                {
+                    return false;
+                }
+                result = static_cast<std::size_t>(number);
+                return true;
+            }
+
+            case 'i':
+            {
+                int8_t number;
+                if (JSON_UNLIKELY(not get_number(number)))
+                {
+                    return false;
+                }
+                result = static_cast<std::size_t>(number);
+                return true;
+            }
+
+            case 'I':
+            {
+                int16_t number;
+                if (JSON_UNLIKELY(not get_number(number)))
+                {
+                    return false;
+                }
+                result = static_cast<std::size_t>(number);
+                return true;
+            }
+
+            case 'l':
+            {
+                int32_t number;
+                if (JSON_UNLIKELY(not get_number(number)))
+                {
+                    return false;
+                }
+                result = static_cast<std::size_t>(number);
+                return true;
+            }
+
+            case 'L':
+            {
+                int64_t number;
+                if (JSON_UNLIKELY(not get_number(number)))
+                {
+                    return false;
+                }
+                result = static_cast<std::size_t>(number);
+                return true;
+            }
+
+            default:
+            {
+                auto last_token = get_token_string();
+                return sax->parse_error(chars_read, last_token, parse_error::create(113, chars_read, "byte after '#' must denote a number type; last byte: 0x" + last_token));
+            }
+        }
+    }
+
+    /*!
+    @brief determine the type and size for a container
+
+    In the optimized UBJSON format, a type and a size can be provided to allow
+    for a more compact representation.
+
+    @param[out] result  pair of the size and the type
+
+    @return whether pair creation completed
+    */
+    bool get_ubjson_size_type(std::pair<std::size_t, int>& result)
+    {
+        result.first = string_t::npos; // size
+        result.second = 0; // type
+
+        get_ignore_noop();
+
+        if (current == '$')
+        {
+            result.second = get();  // must not ignore 'N', because 'N' maybe the type
+            if (JSON_UNLIKELY(not unexpect_eof()))
+            {
+                return false;
+            }
+
+            get_ignore_noop();
+            if (JSON_UNLIKELY(current != '#'))
+            {
+                if (JSON_UNLIKELY(not unexpect_eof()))
+                {
+                    return false;
+                }
+                auto last_token = get_token_string();
+                return sax->parse_error(chars_read, last_token, parse_error::create(112, chars_read, "expected '#' after UBJSON type information; last byte: 0x" + last_token));
+            }
+
+            return get_ubjson_size_value(result.first);
+        }
+        else if (current == '#')
+        {
+            return get_ubjson_size_value(result.first);
+        }
+        return true;
+    }
+
+    /*!
+    @param prefix  the previously read or set type prefix
+    @return whether value creation completed
+    */
+    bool get_ubjson_value(const int prefix)
+    {
+        switch (prefix)
+        {
+            case std::char_traits<char>::eof():  // EOF
+                return unexpect_eof();
+
+            case 'T':  // true
+                return sax->boolean(true);
+            case 'F':  // false
+                return sax->boolean(false);
+
+            case 'Z':  // null
+                return sax->null();
+
+            case 'U':
+            {
+                uint8_t number;
+                return get_number(number) and sax->number_unsigned(number);
+            }
+
+            case 'i':
+            {
+                int8_t number;
+                return get_number(number) and sax->number_integer(number);
+            }
+
+            case 'I':
+            {
+                int16_t number;
+                return get_number(number) and sax->number_integer(number);
+            }
+
+            case 'l':
+            {
+                int32_t number;
+                return get_number(number) and sax->number_integer(number);
+            }
+
+            case 'L':
+            {
+                int64_t number;
+                return get_number(number) and sax->number_integer(number);
+            }
+
+            case 'd':
+            {
+                float number;
+                return get_number(number) and sax->number_float(static_cast<number_float_t>(number), "");
+            }
+
+            case 'D':
+            {
+                double number;
+                return get_number(number) and sax->number_float(static_cast<number_float_t>(number), "");
+            }
+
+            case 'C':  // char
+            {
+                get();
+                if (JSON_UNLIKELY(not unexpect_eof()))
+                {
+                    return false;
+                }
+                if (JSON_UNLIKELY(current > 127))
+                {
+                    auto last_token = get_token_string();
+                    return sax->parse_error(chars_read, last_token, parse_error::create(113, chars_read, "byte after 'C' must be in range 0x00..0x7F; last byte: 0x" + last_token));
+                }
+                string_t s(1, static_cast<char>(current));
+                return sax->string(s);
+            }
+
+            case 'S':  // string
+            {
+                string_t s;
+                return get_ubjson_string(s) and sax->string(s);
+            }
+
+            case '[':  // array
+                return get_ubjson_array();
+
+            case '{':  // object
+                return get_ubjson_object();
+
+            default: // anything else
+            {
+                auto last_token = get_token_string();
+                return sax->parse_error(chars_read, last_token, parse_error::create(112, chars_read, "error reading UBJSON; last byte: 0x" + last_token));
+            }
+        }
+    }
+
+    /*!
+    @return whether array creation completed
+    */
+    bool get_ubjson_array()
+    {
+        std::pair<std::size_t, int> size_and_type;
+        if (JSON_UNLIKELY(not get_ubjson_size_type(size_and_type)))
+        {
+            return false;
+        }
+
+        if (size_and_type.first != string_t::npos)
+        {
+            if (JSON_UNLIKELY(not sax->start_array(size_and_type.first)))
+            {
+                return false;
+            }
+
+            if (size_and_type.second != 0)
+            {
+                if (size_and_type.second != 'N')
+                {
+                    for (std::size_t i = 0; i < size_and_type.first; ++i)
+                    {
+                        if (JSON_UNLIKELY(not get_ubjson_value(size_and_type.second)))
+                        {
+                            return false;
+                        }
+                    }
+                }
+            }
+            else
+            {
+                for (std::size_t i = 0; i < size_and_type.first; ++i)
+                {
+                    if (JSON_UNLIKELY(not parse_ubjson_internal()))
+                    {
+                        return false;
+                    }
+                }
             }
         }
         else
         {
-            if (JSON_UNLIKELY(current == std::char_traits<char>::eof()))
+            if (JSON_UNLIKELY(not sax->start_array(std::size_t(-1))))
             {
-                JSON_THROW(parse_error::create(110, chars_read, "unexpected end of input"));
+                return false;
+            }
+
+            while (current != ']')
+            {
+                if (JSON_UNLIKELY(not parse_ubjson_internal(false)))
+                {
+                    return false;
+                }
+                get_ignore_noop();
             }
         }
+
+        return sax->end_array();
+    }
+
+    /*!
+    @return whether object creation completed
+    */
+    bool get_ubjson_object()
+    {
+        std::pair<std::size_t, int> size_and_type;
+        if (JSON_UNLIKELY(not get_ubjson_size_type(size_and_type)))
+        {
+            return false;
+        }
+
+        string_t key;
+        if (size_and_type.first != string_t::npos)
+        {
+            if (JSON_UNLIKELY(not sax->start_object(size_and_type.first)))
+            {
+                return false;
+            }
+
+            if (size_and_type.second != 0)
+            {
+                for (std::size_t i = 0; i < size_and_type.first; ++i)
+                {
+                    if (JSON_UNLIKELY(not get_ubjson_string(key) or not sax->key(key)))
+                    {
+                        return false;
+                    }
+                    if (JSON_UNLIKELY(not get_ubjson_value(size_and_type.second)))
+                    {
+                        return false;
+                    }
+                    key.clear();
+                }
+            }
+            else
+            {
+                for (std::size_t i = 0; i < size_and_type.first; ++i)
+                {
+                    if (JSON_UNLIKELY(not get_ubjson_string(key) or not sax->key(key)))
+                    {
+                        return false;
+                    }
+                    if (JSON_UNLIKELY(not parse_ubjson_internal()))
+                    {
+                        return false;
+                    }
+                    key.clear();
+                }
+            }
+        }
+        else
+        {
+            if (JSON_UNLIKELY(not sax->start_object(std::size_t(-1))))
+            {
+                return false;
+            }
+
+            while (current != '}')
+            {
+                if (JSON_UNLIKELY(not get_ubjson_string(key, false) or not sax->key(key)))
+                {
+                    return false;
+                }
+                if (JSON_UNLIKELY(not parse_ubjson_internal()))
+                {
+                    return false;
+                }
+                get_ignore_noop();
+                key.clear();
+            }
+        }
+
+        return sax->end_object();
+    }
+
+    /*!
+    @return whether the last read character is not EOF
+    */
+    bool unexpect_eof() const
+    {
+        if (JSON_UNLIKELY(current == std::char_traits<char>::eof()))
+        {
+            return sax->parse_error(chars_read, "<end of file>", parse_error::create(110, chars_read, "unexpected end of input"));
+        }
+        return true;
+    }
+
+    /*!
+    @return a string representation of the last read byte
+    */
+    std::string get_token_string() const
+    {
+        char cr[3];
+        snprintf(cr, 3, "%.2hhX", static_cast<unsigned char>(current));
+        return std::string{cr};
     }
 
   private:
@@ -5559,7 +7643,34 @@ class binary_reader
 
     /// whether we can assume little endianess
     const bool is_little_endian = little_endianess();
+
+    /// the SAX parser
+    json_sax_t* sax = nullptr;
 };
+}
+}
+
+// #include <nlohmann/detail/output/binary_writer.hpp>
+
+
+#include <algorithm> // reverse
+#include <array> // array
+#include <cstdint> // uint8_t, uint16_t, uint32_t, uint64_t
+#include <cstring> // memcpy
+#include <limits> // numeric_limits
+
+// #include <nlohmann/detail/input/binary_reader.hpp>
+
+// #include <nlohmann/detail/output/output_adapters.hpp>
+
+
+namespace nlohmann
+{
+namespace detail
+{
+///////////////////
+// binary writer //
+///////////////////
 
 /*!
 @brief serialization to CBOR and MessagePack values
@@ -5587,15 +7698,15 @@ class binary_writer
         {
             case value_t::null:
             {
-                oa->write_character(static_cast<CharType>(0xf6));
+                oa->write_character(static_cast<CharType>(0xF6));
                 break;
             }
 
             case value_t::boolean:
             {
                 oa->write_character(j.m_value.boolean
-                                    ? static_cast<CharType>(0xf5)
-                                    : static_cast<CharType>(0xf4));
+                                    ? static_cast<CharType>(0xF5)
+                                    : static_cast<CharType>(0xF4));
                 break;
             }
 
@@ -5622,12 +7733,12 @@ class binary_writer
                     }
                     else if (j.m_value.number_integer <= (std::numeric_limits<uint32_t>::max)())
                     {
-                        oa->write_character(static_cast<CharType>(0x1a));
+                        oa->write_character(static_cast<CharType>(0x1A));
                         write_number(static_cast<uint32_t>(j.m_value.number_integer));
                     }
                     else
                     {
-                        oa->write_character(static_cast<CharType>(0x1b));
+                        oa->write_character(static_cast<CharType>(0x1B));
                         write_number(static_cast<uint64_t>(j.m_value.number_integer));
                     }
                 }
@@ -5652,12 +7763,12 @@ class binary_writer
                     }
                     else if (positive_number <= (std::numeric_limits<uint32_t>::max)())
                     {
-                        oa->write_character(static_cast<CharType>(0x3a));
+                        oa->write_character(static_cast<CharType>(0x3A));
                         write_number(static_cast<uint32_t>(positive_number));
                     }
                     else
                     {
-                        oa->write_character(static_cast<CharType>(0x3b));
+                        oa->write_character(static_cast<CharType>(0x3B));
                         write_number(static_cast<uint64_t>(positive_number));
                     }
                 }
@@ -5682,20 +7793,20 @@ class binary_writer
                 }
                 else if (j.m_value.number_unsigned <= (std::numeric_limits<uint32_t>::max)())
                 {
-                    oa->write_character(static_cast<CharType>(0x1a));
+                    oa->write_character(static_cast<CharType>(0x1A));
                     write_number(static_cast<uint32_t>(j.m_value.number_unsigned));
                 }
                 else
                 {
-                    oa->write_character(static_cast<CharType>(0x1b));
+                    oa->write_character(static_cast<CharType>(0x1B));
                     write_number(static_cast<uint64_t>(j.m_value.number_unsigned));
                 }
                 break;
             }
 
-            case value_t::number_float: // Double-Precision Float
+            case value_t::number_float:
             {
-                oa->write_character(static_cast<CharType>(0xfb));
+                oa->write_character(get_cbor_float_prefix(j.m_value.number_float));
                 write_number(j.m_value.number_float);
                 break;
             }
@@ -5708,25 +7819,25 @@ class binary_writer
                 {
                     write_number(static_cast<uint8_t>(0x60 + N));
                 }
-                else if (N <= 0xff)
+                else if (N <= (std::numeric_limits<uint8_t>::max)())
                 {
                     oa->write_character(static_cast<CharType>(0x78));
                     write_number(static_cast<uint8_t>(N));
                 }
-                else if (N <= 0xffff)
+                else if (N <= (std::numeric_limits<uint16_t>::max)())
                 {
                     oa->write_character(static_cast<CharType>(0x79));
                     write_number(static_cast<uint16_t>(N));
                 }
-                else if (N <= 0xffffffff)
+                else if (N <= (std::numeric_limits<uint32_t>::max)())
                 {
-                    oa->write_character(static_cast<CharType>(0x7a));
+                    oa->write_character(static_cast<CharType>(0x7A));
                     write_number(static_cast<uint32_t>(N));
                 }
                 // LCOV_EXCL_START
-                else if (N <= 0xffffffffffffffff)
+                else if (N <= (std::numeric_limits<uint64_t>::max)())
                 {
-                    oa->write_character(static_cast<CharType>(0x7b));
+                    oa->write_character(static_cast<CharType>(0x7B));
                     write_number(static_cast<uint64_t>(N));
                 }
                 // LCOV_EXCL_STOP
@@ -5746,25 +7857,25 @@ class binary_writer
                 {
                     write_number(static_cast<uint8_t>(0x80 + N));
                 }
-                else if (N <= 0xff)
+                else if (N <= (std::numeric_limits<uint8_t>::max)())
                 {
                     oa->write_character(static_cast<CharType>(0x98));
                     write_number(static_cast<uint8_t>(N));
                 }
-                else if (N <= 0xffff)
+                else if (N <= (std::numeric_limits<uint16_t>::max)())
                 {
                     oa->write_character(static_cast<CharType>(0x99));
                     write_number(static_cast<uint16_t>(N));
                 }
-                else if (N <= 0xffffffff)
+                else if (N <= (std::numeric_limits<uint32_t>::max)())
                 {
-                    oa->write_character(static_cast<CharType>(0x9a));
+                    oa->write_character(static_cast<CharType>(0x9A));
                     write_number(static_cast<uint32_t>(N));
                 }
                 // LCOV_EXCL_START
-                else if (N <= 0xffffffffffffffff)
+                else if (N <= (std::numeric_limits<uint64_t>::max)())
                 {
-                    oa->write_character(static_cast<CharType>(0x9b));
+                    oa->write_character(static_cast<CharType>(0x9B));
                     write_number(static_cast<uint64_t>(N));
                 }
                 // LCOV_EXCL_STOP
@@ -5783,27 +7894,27 @@ class binary_writer
                 const auto N = j.m_value.object->size();
                 if (N <= 0x17)
                 {
-                    write_number(static_cast<uint8_t>(0xa0 + N));
+                    write_number(static_cast<uint8_t>(0xA0 + N));
                 }
-                else if (N <= 0xff)
+                else if (N <= (std::numeric_limits<uint8_t>::max)())
                 {
-                    oa->write_character(static_cast<CharType>(0xb8));
+                    oa->write_character(static_cast<CharType>(0xB8));
                     write_number(static_cast<uint8_t>(N));
                 }
-                else if (N <= 0xffff)
+                else if (N <= (std::numeric_limits<uint16_t>::max)())
                 {
-                    oa->write_character(static_cast<CharType>(0xb9));
+                    oa->write_character(static_cast<CharType>(0xB9));
                     write_number(static_cast<uint16_t>(N));
                 }
-                else if (N <= 0xffffffff)
+                else if (N <= (std::numeric_limits<uint32_t>::max)())
                 {
-                    oa->write_character(static_cast<CharType>(0xba));
+                    oa->write_character(static_cast<CharType>(0xBA));
                     write_number(static_cast<uint32_t>(N));
                 }
                 // LCOV_EXCL_START
-                else if (N <= 0xffffffffffffffff)
+                else if (N <= (std::numeric_limits<uint64_t>::max)())
                 {
-                    oa->write_character(static_cast<CharType>(0xbb));
+                    oa->write_character(static_cast<CharType>(0xBB));
                     write_number(static_cast<uint64_t>(N));
                 }
                 // LCOV_EXCL_STOP
@@ -5831,15 +7942,15 @@ class binary_writer
         {
             case value_t::null: // nil
             {
-                oa->write_character(static_cast<CharType>(0xc0));
+                oa->write_character(static_cast<CharType>(0xC0));
                 break;
             }
 
             case value_t::boolean: // true and false
             {
                 oa->write_character(j.m_value.boolean
-                                    ? static_cast<CharType>(0xc3)
-                                    : static_cast<CharType>(0xc2));
+                                    ? static_cast<CharType>(0xC3)
+                                    : static_cast<CharType>(0xC2));
                 break;
             }
 
@@ -5858,25 +7969,25 @@ class binary_writer
                     else if (j.m_value.number_unsigned <= (std::numeric_limits<uint8_t>::max)())
                     {
                         // uint 8
-                        oa->write_character(static_cast<CharType>(0xcc));
+                        oa->write_character(static_cast<CharType>(0xCC));
                         write_number(static_cast<uint8_t>(j.m_value.number_integer));
                     }
                     else if (j.m_value.number_unsigned <= (std::numeric_limits<uint16_t>::max)())
                     {
                         // uint 16
-                        oa->write_character(static_cast<CharType>(0xcd));
+                        oa->write_character(static_cast<CharType>(0xCD));
                         write_number(static_cast<uint16_t>(j.m_value.number_integer));
                     }
                     else if (j.m_value.number_unsigned <= (std::numeric_limits<uint32_t>::max)())
                     {
                         // uint 32
-                        oa->write_character(static_cast<CharType>(0xce));
+                        oa->write_character(static_cast<CharType>(0xCE));
                         write_number(static_cast<uint32_t>(j.m_value.number_integer));
                     }
                     else if (j.m_value.number_unsigned <= (std::numeric_limits<uint64_t>::max)())
                     {
                         // uint 64
-                        oa->write_character(static_cast<CharType>(0xcf));
+                        oa->write_character(static_cast<CharType>(0xCF));
                         write_number(static_cast<uint64_t>(j.m_value.number_integer));
                     }
                 }
@@ -5891,28 +8002,28 @@ class binary_writer
                              j.m_value.number_integer <= (std::numeric_limits<int8_t>::max)())
                     {
                         // int 8
-                        oa->write_character(static_cast<CharType>(0xd0));
+                        oa->write_character(static_cast<CharType>(0xD0));
                         write_number(static_cast<int8_t>(j.m_value.number_integer));
                     }
                     else if (j.m_value.number_integer >= (std::numeric_limits<int16_t>::min)() and
                              j.m_value.number_integer <= (std::numeric_limits<int16_t>::max)())
                     {
                         // int 16
-                        oa->write_character(static_cast<CharType>(0xd1));
+                        oa->write_character(static_cast<CharType>(0xD1));
                         write_number(static_cast<int16_t>(j.m_value.number_integer));
                     }
                     else if (j.m_value.number_integer >= (std::numeric_limits<int32_t>::min)() and
                              j.m_value.number_integer <= (std::numeric_limits<int32_t>::max)())
                     {
                         // int 32
-                        oa->write_character(static_cast<CharType>(0xd2));
+                        oa->write_character(static_cast<CharType>(0xD2));
                         write_number(static_cast<int32_t>(j.m_value.number_integer));
                     }
                     else if (j.m_value.number_integer >= (std::numeric_limits<int64_t>::min)() and
                              j.m_value.number_integer <= (std::numeric_limits<int64_t>::max)())
                     {
                         // int 64
-                        oa->write_character(static_cast<CharType>(0xd3));
+                        oa->write_character(static_cast<CharType>(0xD3));
                         write_number(static_cast<int64_t>(j.m_value.number_integer));
                     }
                 }
@@ -5929,33 +8040,33 @@ class binary_writer
                 else if (j.m_value.number_unsigned <= (std::numeric_limits<uint8_t>::max)())
                 {
                     // uint 8
-                    oa->write_character(static_cast<CharType>(0xcc));
+                    oa->write_character(static_cast<CharType>(0xCC));
                     write_number(static_cast<uint8_t>(j.m_value.number_integer));
                 }
                 else if (j.m_value.number_unsigned <= (std::numeric_limits<uint16_t>::max)())
                 {
                     // uint 16
-                    oa->write_character(static_cast<CharType>(0xcd));
+                    oa->write_character(static_cast<CharType>(0xCD));
                     write_number(static_cast<uint16_t>(j.m_value.number_integer));
                 }
                 else if (j.m_value.number_unsigned <= (std::numeric_limits<uint32_t>::max)())
                 {
                     // uint 32
-                    oa->write_character(static_cast<CharType>(0xce));
+                    oa->write_character(static_cast<CharType>(0xCE));
                     write_number(static_cast<uint32_t>(j.m_value.number_integer));
                 }
                 else if (j.m_value.number_unsigned <= (std::numeric_limits<uint64_t>::max)())
                 {
                     // uint 64
-                    oa->write_character(static_cast<CharType>(0xcf));
+                    oa->write_character(static_cast<CharType>(0xCF));
                     write_number(static_cast<uint64_t>(j.m_value.number_integer));
                 }
                 break;
             }
 
-            case value_t::number_float: // float 64
+            case value_t::number_float:
             {
-                oa->write_character(static_cast<CharType>(0xcb));
+                oa->write_character(get_msgpack_float_prefix(j.m_value.number_float));
                 write_number(j.m_value.number_float);
                 break;
             }
@@ -5967,24 +8078,24 @@ class binary_writer
                 if (N <= 31)
                 {
                     // fixstr
-                    write_number(static_cast<uint8_t>(0xa0 | N));
+                    write_number(static_cast<uint8_t>(0xA0 | N));
                 }
-                else if (N <= 255)
+                else if (N <= (std::numeric_limits<uint8_t>::max)())
                 {
                     // str 8
-                    oa->write_character(static_cast<CharType>(0xd9));
+                    oa->write_character(static_cast<CharType>(0xD9));
                     write_number(static_cast<uint8_t>(N));
                 }
-                else if (N <= 65535)
+                else if (N <= (std::numeric_limits<uint16_t>::max)())
                 {
                     // str 16
-                    oa->write_character(static_cast<CharType>(0xda));
+                    oa->write_character(static_cast<CharType>(0xDA));
                     write_number(static_cast<uint16_t>(N));
                 }
-                else if (N <= 4294967295)
+                else if (N <= (std::numeric_limits<uint32_t>::max)())
                 {
                     // str 32
-                    oa->write_character(static_cast<CharType>(0xdb));
+                    oa->write_character(static_cast<CharType>(0xDB));
                     write_number(static_cast<uint32_t>(N));
                 }
 
@@ -6004,16 +8115,16 @@ class binary_writer
                     // fixarray
                     write_number(static_cast<uint8_t>(0x90 | N));
                 }
-                else if (N <= 0xffff)
+                else if (N <= (std::numeric_limits<uint16_t>::max)())
                 {
                     // array 16
-                    oa->write_character(static_cast<CharType>(0xdc));
+                    oa->write_character(static_cast<CharType>(0xDC));
                     write_number(static_cast<uint16_t>(N));
                 }
-                else if (N <= 0xffffffff)
+                else if (N <= (std::numeric_limits<uint32_t>::max)())
                 {
                     // array 32
-                    oa->write_character(static_cast<CharType>(0xdd));
+                    oa->write_character(static_cast<CharType>(0xDD));
                     write_number(static_cast<uint32_t>(N));
                 }
 
@@ -6032,18 +8143,18 @@ class binary_writer
                 if (N <= 15)
                 {
                     // fixmap
-                    write_number(static_cast<uint8_t>(0x80 | (N & 0xf)));
+                    write_number(static_cast<uint8_t>(0x80 | (N & 0xF)));
                 }
-                else if (N <= 65535)
+                else if (N <= (std::numeric_limits<uint16_t>::max)())
                 {
                     // map 16
-                    oa->write_character(static_cast<CharType>(0xde));
+                    oa->write_character(static_cast<CharType>(0xDE));
                     write_number(static_cast<uint16_t>(N));
                 }
-                else if (N <= 4294967295)
+                else if (N <= (std::numeric_limits<uint32_t>::max)())
                 {
                     // map 32
-                    oa->write_character(static_cast<CharType>(0xdf));
+                    oa->write_character(static_cast<CharType>(0xDF));
                     write_number(static_cast<uint32_t>(N));
                 }
 
@@ -6061,6 +8172,165 @@ class binary_writer
         }
     }
 
+    /*!
+    @param[in] j  JSON value to serialize
+    @param[in] use_count   whether to use '#' prefixes (optimized format)
+    @param[in] use_type    whether to use '$' prefixes (optimized format)
+    @param[in] add_prefix  whether prefixes need to be used for this value
+    */
+    void write_ubjson(const BasicJsonType& j, const bool use_count,
+                      const bool use_type, const bool add_prefix = true)
+    {
+        switch (j.type())
+        {
+            case value_t::null:
+            {
+                if (add_prefix)
+                {
+                    oa->write_character(static_cast<CharType>('Z'));
+                }
+                break;
+            }
+
+            case value_t::boolean:
+            {
+                if (add_prefix)
+                    oa->write_character(j.m_value.boolean
+                                        ? static_cast<CharType>('T')
+                                        : static_cast<CharType>('F'));
+                break;
+            }
+
+            case value_t::number_integer:
+            {
+                write_number_with_ubjson_prefix(j.m_value.number_integer, add_prefix);
+                break;
+            }
+
+            case value_t::number_unsigned:
+            {
+                write_number_with_ubjson_prefix(j.m_value.number_unsigned, add_prefix);
+                break;
+            }
+
+            case value_t::number_float:
+            {
+                write_number_with_ubjson_prefix(j.m_value.number_float, add_prefix);
+                break;
+            }
+
+            case value_t::string:
+            {
+                if (add_prefix)
+                {
+                    oa->write_character(static_cast<CharType>('S'));
+                }
+                write_number_with_ubjson_prefix(j.m_value.string->size(), true);
+                oa->write_characters(
+                    reinterpret_cast<const CharType*>(j.m_value.string->c_str()),
+                    j.m_value.string->size());
+                break;
+            }
+
+            case value_t::array:
+            {
+                if (add_prefix)
+                {
+                    oa->write_character(static_cast<CharType>('['));
+                }
+
+                bool prefix_required = true;
+                if (use_type and not j.m_value.array->empty())
+                {
+                    assert(use_count);
+                    const CharType first_prefix = ubjson_prefix(j.front());
+                    const bool same_prefix = std::all_of(j.begin() + 1, j.end(),
+                                                         [this, first_prefix](const BasicJsonType & v)
+                    {
+                        return ubjson_prefix(v) == first_prefix;
+                    });
+
+                    if (same_prefix)
+                    {
+                        prefix_required = false;
+                        oa->write_character(static_cast<CharType>('$'));
+                        oa->write_character(first_prefix);
+                    }
+                }
+
+                if (use_count)
+                {
+                    oa->write_character(static_cast<CharType>('#'));
+                    write_number_with_ubjson_prefix(j.m_value.array->size(), true);
+                }
+
+                for (const auto& el : *j.m_value.array)
+                {
+                    write_ubjson(el, use_count, use_type, prefix_required);
+                }
+
+                if (not use_count)
+                {
+                    oa->write_character(static_cast<CharType>(']'));
+                }
+
+                break;
+            }
+
+            case value_t::object:
+            {
+                if (add_prefix)
+                {
+                    oa->write_character(static_cast<CharType>('{'));
+                }
+
+                bool prefix_required = true;
+                if (use_type and not j.m_value.object->empty())
+                {
+                    assert(use_count);
+                    const CharType first_prefix = ubjson_prefix(j.front());
+                    const bool same_prefix = std::all_of(j.begin(), j.end(),
+                                                         [this, first_prefix](const BasicJsonType & v)
+                    {
+                        return ubjson_prefix(v) == first_prefix;
+                    });
+
+                    if (same_prefix)
+                    {
+                        prefix_required = false;
+                        oa->write_character(static_cast<CharType>('$'));
+                        oa->write_character(first_prefix);
+                    }
+                }
+
+                if (use_count)
+                {
+                    oa->write_character(static_cast<CharType>('#'));
+                    write_number_with_ubjson_prefix(j.m_value.object->size(), true);
+                }
+
+                for (const auto& el : *j.m_value.object)
+                {
+                    write_number_with_ubjson_prefix(el.first.size(), true);
+                    oa->write_characters(
+                        reinterpret_cast<const CharType*>(el.first.c_str()),
+                        el.first.size());
+                    write_ubjson(el.second, use_count, use_type, prefix_required);
+                }
+
+                if (not use_count)
+                {
+                    oa->write_character(static_cast<CharType>('}'));
+                }
+
+                break;
+            }
+
+            default:
+                break;
+        }
+    }
+
   private:
     /*
     @brief write a number to output input
@@ -6069,10 +8339,11 @@ class binary_writer
     @tparam NumberType the type of the number
 
     @note This function needs to respect the system's endianess, because bytes
-          in CBOR and MessagePack are stored in network order (big endian) and
-          therefore need reordering on little endian systems.
+          in CBOR, MessagePack, and UBJSON are stored in network order (big
+          endian) and therefore need reordering on little endian systems.
     */
-    template<typename NumberType> void write_number(NumberType n)
+    template<typename NumberType>
+    void write_number(const NumberType n)
     {
         // step 1: write number to array of length NumberType
         std::array<CharType, sizeof(NumberType)> vec;
@@ -6088,6 +8359,240 @@ class binary_writer
         oa->write_characters(vec.data(), sizeof(NumberType));
     }
 
+    // UBJSON: write number (floating point)
+    template<typename NumberType, typename std::enable_if<
+                 std::is_floating_point<NumberType>::value, int>::type = 0>
+    void write_number_with_ubjson_prefix(const NumberType n,
+                                         const bool add_prefix)
+    {
+        if (add_prefix)
+        {
+            oa->write_character(get_ubjson_float_prefix(n));
+        }
+        write_number(n);
+    }
+
+    // UBJSON: write number (unsigned integer)
+    template<typename NumberType, typename std::enable_if<
+                 std::is_unsigned<NumberType>::value, int>::type = 0>
+    void write_number_with_ubjson_prefix(const NumberType n,
+                                         const bool add_prefix)
+    {
+        if (n <= static_cast<uint64_t>((std::numeric_limits<int8_t>::max)()))
+        {
+            if (add_prefix)
+            {
+                oa->write_character(static_cast<CharType>('i'));  // int8
+            }
+            write_number(static_cast<uint8_t>(n));
+        }
+        else if (n <= (std::numeric_limits<uint8_t>::max)())
+        {
+            if (add_prefix)
+            {
+                oa->write_character(static_cast<CharType>('U'));  // uint8
+            }
+            write_number(static_cast<uint8_t>(n));
+        }
+        else if (n <= static_cast<uint64_t>((std::numeric_limits<int16_t>::max)()))
+        {
+            if (add_prefix)
+            {
+                oa->write_character(static_cast<CharType>('I'));  // int16
+            }
+            write_number(static_cast<int16_t>(n));
+        }
+        else if (n <= static_cast<uint64_t>((std::numeric_limits<int32_t>::max)()))
+        {
+            if (add_prefix)
+            {
+                oa->write_character(static_cast<CharType>('l'));  // int32
+            }
+            write_number(static_cast<int32_t>(n));
+        }
+        else if (n <= static_cast<uint64_t>((std::numeric_limits<int64_t>::max)()))
+        {
+            if (add_prefix)
+            {
+                oa->write_character(static_cast<CharType>('L'));  // int64
+            }
+            write_number(static_cast<int64_t>(n));
+        }
+        else
+        {
+            JSON_THROW(out_of_range::create(407, "number overflow serializing " + std::to_string(n)));
+        }
+    }
+
+    // UBJSON: write number (signed integer)
+    template<typename NumberType, typename std::enable_if<
+                 std::is_signed<NumberType>::value and
+                 not std::is_floating_point<NumberType>::value, int>::type = 0>
+    void write_number_with_ubjson_prefix(const NumberType n,
+                                         const bool add_prefix)
+    {
+        if ((std::numeric_limits<int8_t>::min)() <= n and n <= (std::numeric_limits<int8_t>::max)())
+        {
+            if (add_prefix)
+            {
+                oa->write_character(static_cast<CharType>('i'));  // int8
+            }
+            write_number(static_cast<int8_t>(n));
+        }
+        else if (static_cast<int64_t>((std::numeric_limits<uint8_t>::min)()) <= n and n <= static_cast<int64_t>((std::numeric_limits<uint8_t>::max)()))
+        {
+            if (add_prefix)
+            {
+                oa->write_character(static_cast<CharType>('U'));  // uint8
+            }
+            write_number(static_cast<uint8_t>(n));
+        }
+        else if ((std::numeric_limits<int16_t>::min)() <= n and n <= (std::numeric_limits<int16_t>::max)())
+        {
+            if (add_prefix)
+            {
+                oa->write_character(static_cast<CharType>('I'));  // int16
+            }
+            write_number(static_cast<int16_t>(n));
+        }
+        else if ((std::numeric_limits<int32_t>::min)() <= n and n <= (std::numeric_limits<int32_t>::max)())
+        {
+            if (add_prefix)
+            {
+                oa->write_character(static_cast<CharType>('l'));  // int32
+            }
+            write_number(static_cast<int32_t>(n));
+        }
+        else if ((std::numeric_limits<int64_t>::min)() <= n and n <= (std::numeric_limits<int64_t>::max)())
+        {
+            if (add_prefix)
+            {
+                oa->write_character(static_cast<CharType>('L'));  // int64
+            }
+            write_number(static_cast<int64_t>(n));
+        }
+        // LCOV_EXCL_START
+        else
+        {
+            JSON_THROW(out_of_range::create(407, "number overflow serializing " + std::to_string(n)));
+        }
+        // LCOV_EXCL_STOP
+    }
+
+    /*!
+    @brief determine the type prefix of container values
+
+    @note This function does not need to be 100% accurate when it comes to
+          integer limits. In case a number exceeds the limits of int64_t,
+          this will be detected by a later call to function
+          write_number_with_ubjson_prefix. Therefore, we return 'L' for any
+          value that does not fit the previous limits.
+    */
+    CharType ubjson_prefix(const BasicJsonType& j) const noexcept
+    {
+        switch (j.type())
+        {
+            case value_t::null:
+                return 'Z';
+
+            case value_t::boolean:
+                return j.m_value.boolean ? 'T' : 'F';
+
+            case value_t::number_integer:
+            {
+                if ((std::numeric_limits<int8_t>::min)() <= j.m_value.number_integer and j.m_value.number_integer <= (std::numeric_limits<int8_t>::max)())
+                {
+                    return 'i';
+                }
+                else if ((std::numeric_limits<uint8_t>::min)() <= j.m_value.number_integer and j.m_value.number_integer <= (std::numeric_limits<uint8_t>::max)())
+                {
+                    return 'U';
+                }
+                else if ((std::numeric_limits<int16_t>::min)() <= j.m_value.number_integer and j.m_value.number_integer <= (std::numeric_limits<int16_t>::max)())
+                {
+                    return 'I';
+                }
+                else if ((std::numeric_limits<int32_t>::min)() <= j.m_value.number_integer and j.m_value.number_integer <= (std::numeric_limits<int32_t>::max)())
+                {
+                    return 'l';
+                }
+                else  // no check and assume int64_t (see note above)
+                {
+                    return 'L';
+                }
+            }
+
+            case value_t::number_unsigned:
+            {
+                if (j.m_value.number_unsigned <= (std::numeric_limits<int8_t>::max)())
+                {
+                    return 'i';
+                }
+                else if (j.m_value.number_unsigned <= (std::numeric_limits<uint8_t>::max)())
+                {
+                    return 'U';
+                }
+                else if (j.m_value.number_unsigned <= (std::numeric_limits<int16_t>::max)())
+                {
+                    return 'I';
+                }
+                else if (j.m_value.number_unsigned <= (std::numeric_limits<int32_t>::max)())
+                {
+                    return 'l';
+                }
+                else  // no check and assume int64_t (see note above)
+                {
+                    return 'L';
+                }
+            }
+
+            case value_t::number_float:
+                return get_ubjson_float_prefix(j.m_value.number_float);
+
+            case value_t::string:
+                return 'S';
+
+            case value_t::array:
+                return '[';
+
+            case value_t::object:
+                return '{';
+
+            default:  // discarded values
+                return 'N';
+        }
+    }
+
+    static constexpr CharType get_cbor_float_prefix(float)
+    {
+        return static_cast<CharType>(0xFA);  // Single-Precision Float
+    }
+
+    static constexpr CharType get_cbor_float_prefix(double)
+    {
+        return static_cast<CharType>(0xFB);  // Double-Precision Float
+    }
+
+    static constexpr CharType get_msgpack_float_prefix(float)
+    {
+        return static_cast<CharType>(0xCA);  // float 32
+    }
+
+    static constexpr CharType get_msgpack_float_prefix(double)
+    {
+        return static_cast<CharType>(0xCB);  // float 64
+    }
+
+    static constexpr CharType get_ubjson_float_prefix(float)
+    {
+        return 'd';  // float 32
+    }
+
+    static constexpr CharType get_ubjson_float_prefix(double)
+    {
+        return 'D';  // float 64
+    }
+
   private:
     /// whether we can assume little endianess
     const bool is_little_endian = binary_reader<BasicJsonType>::little_endianess();
@@ -6095,7 +8600,1137 @@ class binary_writer
     /// the output
     output_adapter_t<CharType> oa = nullptr;
 };
+}
+}
 
+// #include <nlohmann/detail/output/serializer.hpp>
+
+
+#include <algorithm> // reverse, remove, fill, find, none_of
+#include <array> // array
+#include <cassert> // assert
+#include <ciso646> // and, or
+#include <clocale> // localeconv, lconv
+#include <cmath> // labs, isfinite, isnan, signbit
+#include <cstddef> // size_t, ptrdiff_t
+#include <cstdint> // uint8_t
+#include <cstdio> // snprintf
+#include <limits> // numeric_limits
+#include <string> // string
+#include <type_traits> // is_same
+
+// #include <nlohmann/detail/exceptions.hpp>
+
+// #include <nlohmann/detail/conversions/to_chars.hpp>
+
+
+#include <cassert> // assert
+#include <ciso646> // or, and, not
+#include <cmath>   // signbit, isfinite
+#include <cstdint> // intN_t, uintN_t
+#include <cstring> // memcpy, memmove
+
+namespace nlohmann
+{
+namespace detail
+{
+
+/*!
+@brief implements the Grisu2 algorithm for binary to decimal floating-point
+conversion.
+
+This implementation is a slightly modified version of the reference
+implementation which may be obtained from
+http://florian.loitsch.com/publications (bench.tar.gz).
+
+The code is distributed under the MIT license, Copyright (c) 2009 Florian Loitsch.
+
+For a detailed description of the algorithm see:
+
+[1] Loitsch, "Printing Floating-Point Numbers Quickly and Accurately with
+    Integers", Proceedings of the ACM SIGPLAN 2010 Conference on Programming
+    Language Design and Implementation, PLDI 2010
+[2] Burger, Dybvig, "Printing Floating-Point Numbers Quickly and Accurately",
+    Proceedings of the ACM SIGPLAN 1996 Conference on Programming Language
+    Design and Implementation, PLDI 1996
+*/
+namespace dtoa_impl
+{
+
+template <typename Target, typename Source>
+Target reinterpret_bits(const Source source)
+{
+    static_assert(sizeof(Target) == sizeof(Source), "size mismatch");
+
+    Target target;
+    std::memcpy(&target, &source, sizeof(Source));
+    return target;
+}
+
+struct diyfp // f * 2^e
+{
+    static constexpr int kPrecision = 64; // = q
+
+    uint64_t f;
+    int e;
+
+    constexpr diyfp() noexcept : f(0), e(0) {}
+    constexpr diyfp(uint64_t f_, int e_) noexcept : f(f_), e(e_) {}
+
+    /*!
+    @brief returns x - y
+    @pre x.e == y.e and x.f >= y.f
+    */
+    static diyfp sub(const diyfp& x, const diyfp& y) noexcept
+    {
+        assert(x.e == y.e);
+        assert(x.f >= y.f);
+
+        return diyfp(x.f - y.f, x.e);
+    }
+
+    /*!
+    @brief returns x * y
+    @note The result is rounded. (Only the upper q bits are returned.)
+    */
+    static diyfp mul(const diyfp& x, const diyfp& y) noexcept
+    {
+        static_assert(kPrecision == 64, "internal error");
+
+        // Computes:
+        //  f = round((x.f * y.f) / 2^q)
+        //  e = x.e + y.e + q
+
+        // Emulate the 64-bit * 64-bit multiplication:
+        //
+        // p = u * v
+        //   = (u_lo + 2^32 u_hi) (v_lo + 2^32 v_hi)
+        //   = (u_lo v_lo         ) + 2^32 ((u_lo v_hi         ) + (u_hi v_lo         )) + 2^64 (u_hi v_hi         )
+        //   = (p0                ) + 2^32 ((p1                ) + (p2                )) + 2^64 (p3                )
+        //   = (p0_lo + 2^32 p0_hi) + 2^32 ((p1_lo + 2^32 p1_hi) + (p2_lo + 2^32 p2_hi)) + 2^64 (p3                )
+        //   = (p0_lo             ) + 2^32 (p0_hi + p1_lo + p2_lo                      ) + 2^64 (p1_hi + p2_hi + p3)
+        //   = (p0_lo             ) + 2^32 (Q                                          ) + 2^64 (H                 )
+        //   = (p0_lo             ) + 2^32 (Q_lo + 2^32 Q_hi                           ) + 2^64 (H                 )
+        //
+        // (Since Q might be larger than 2^32 - 1)
+        //
+        //   = (p0_lo + 2^32 Q_lo) + 2^64 (Q_hi + H)
+        //
+        // (Q_hi + H does not overflow a 64-bit int)
+        //
+        //   = p_lo + 2^64 p_hi
+
+        const uint64_t u_lo = x.f & 0xFFFFFFFF;
+        const uint64_t u_hi = x.f >> 32;
+        const uint64_t v_lo = y.f & 0xFFFFFFFF;
+        const uint64_t v_hi = y.f >> 32;
+
+        const uint64_t p0 = u_lo * v_lo;
+        const uint64_t p1 = u_lo * v_hi;
+        const uint64_t p2 = u_hi * v_lo;
+        const uint64_t p3 = u_hi * v_hi;
+
+        const uint64_t p0_hi = p0 >> 32;
+        const uint64_t p1_lo = p1 & 0xFFFFFFFF;
+        const uint64_t p1_hi = p1 >> 32;
+        const uint64_t p2_lo = p2 & 0xFFFFFFFF;
+        const uint64_t p2_hi = p2 >> 32;
+
+        uint64_t Q = p0_hi + p1_lo + p2_lo;
+
+        // The full product might now be computed as
+        //
+        // p_hi = p3 + p2_hi + p1_hi + (Q >> 32)
+        // p_lo = p0_lo + (Q << 32)
+        //
+        // But in this particular case here, the full p_lo is not required.
+        // Effectively we only need to add the highest bit in p_lo to p_hi (and
+        // Q_hi + 1 does not overflow).
+
+        Q += uint64_t{1} << (64 - 32 - 1); // round, ties up
+
+        const uint64_t h = p3 + p2_hi + p1_hi + (Q >> 32);
+
+        return diyfp(h, x.e + y.e + 64);
+    }
+
+    /*!
+    @brief normalize x such that the significand is >= 2^(q-1)
+    @pre x.f != 0
+    */
+    static diyfp normalize(diyfp x) noexcept
+    {
+        assert(x.f != 0);
+
+        while ((x.f >> 63) == 0)
+        {
+            x.f <<= 1;
+            x.e--;
+        }
+
+        return x;
+    }
+
+    /*!
+    @brief normalize x such that the result has the exponent E
+    @pre e >= x.e and the upper e - x.e bits of x.f must be zero.
+    */
+    static diyfp normalize_to(const diyfp& x, const int target_exponent) noexcept
+    {
+        const int delta = x.e - target_exponent;
+
+        assert(delta >= 0);
+        assert(((x.f << delta) >> delta) == x.f);
+
+        return diyfp(x.f << delta, target_exponent);
+    }
+};
+
+struct boundaries
+{
+    diyfp w;
+    diyfp minus;
+    diyfp plus;
+};
+
+/*!
+Compute the (normalized) diyfp representing the input number 'value' and its
+boundaries.
+
+@pre value must be finite and positive
+*/
+template <typename FloatType>
+boundaries compute_boundaries(FloatType value)
+{
+    assert(std::isfinite(value));
+    assert(value > 0);
+
+    // Convert the IEEE representation into a diyfp.
+    //
+    // If v is denormal:
+    //      value = 0.F * 2^(1 - bias) = (          F) * 2^(1 - bias - (p-1))
+    // If v is normalized:
+    //      value = 1.F * 2^(E - bias) = (2^(p-1) + F) * 2^(E - bias - (p-1))
+
+    static_assert(std::numeric_limits<FloatType>::is_iec559,
+                  "internal error: dtoa_short requires an IEEE-754 floating-point implementation");
+
+    constexpr int      kPrecision = std::numeric_limits<FloatType>::digits; // = p (includes the hidden bit)
+    constexpr int      kBias      = std::numeric_limits<FloatType>::max_exponent - 1 + (kPrecision - 1);
+    constexpr int      kMinExp    = 1 - kBias;
+    constexpr uint64_t kHiddenBit = uint64_t{1} << (kPrecision - 1); // = 2^(p-1)
+
+    using bits_type = typename std::conditional< kPrecision == 24, uint32_t, uint64_t >::type;
+
+    const uint64_t bits = reinterpret_bits<bits_type>(value);
+    const uint64_t E = bits >> (kPrecision - 1);
+    const uint64_t F = bits & (kHiddenBit - 1);
+
+    const bool is_denormal = (E == 0);
+    const diyfp v = is_denormal
+                    ? diyfp(F, kMinExp)
+                    : diyfp(F + kHiddenBit, static_cast<int>(E) - kBias);
+
+    // Compute the boundaries m- and m+ of the floating-point value
+    // v = f * 2^e.
+    //
+    // Determine v- and v+, the floating-point predecessor and successor if v,
+    // respectively.
+    //
+    //      v- = v - 2^e        if f != 2^(p-1) or e == e_min                (A)
+    //         = v - 2^(e-1)    if f == 2^(p-1) and e > e_min                (B)
+    //
+    //      v+ = v + 2^e
+    //
+    // Let m- = (v- + v) / 2 and m+ = (v + v+) / 2. All real numbers _strictly_
+    // between m- and m+ round to v, regardless of how the input rounding
+    // algorithm breaks ties.
+    //
+    //      ---+-------------+-------------+-------------+-------------+---  (A)
+    //         v-            m-            v             m+            v+
+    //
+    //      -----------------+------+------+-------------+-------------+---  (B)
+    //                       v-     m-     v             m+            v+
+
+    const bool lower_boundary_is_closer = (F == 0 and E > 1);
+    const diyfp m_plus = diyfp(2 * v.f + 1, v.e - 1);
+    const diyfp m_minus = lower_boundary_is_closer
+                          ? diyfp(4 * v.f - 1, v.e - 2)  // (B)
+                          : diyfp(2 * v.f - 1, v.e - 1); // (A)
+
+    // Determine the normalized w+ = m+.
+    const diyfp w_plus = diyfp::normalize(m_plus);
+
+    // Determine w- = m- such that e_(w-) = e_(w+).
+    const diyfp w_minus = diyfp::normalize_to(m_minus, w_plus.e);
+
+    return {diyfp::normalize(v), w_minus, w_plus};
+}
+
+// Given normalized diyfp w, Grisu needs to find a (normalized) cached
+// power-of-ten c, such that the exponent of the product c * w = f * 2^e lies
+// within a certain range [alpha, gamma] (Definition 3.2 from [1])
+//
+//      alpha <= e = e_c + e_w + q <= gamma
+//
+// or
+//
+//      f_c * f_w * 2^alpha <= f_c 2^(e_c) * f_w 2^(e_w) * 2^q
+//                          <= f_c * f_w * 2^gamma
+//
+// Since c and w are normalized, i.e. 2^(q-1) <= f < 2^q, this implies
+//
+//      2^(q-1) * 2^(q-1) * 2^alpha <= c * w * 2^q < 2^q * 2^q * 2^gamma
+//
+// or
+//
+//      2^(q - 2 + alpha) <= c * w < 2^(q + gamma)
+//
+// The choice of (alpha,gamma) determines the size of the table and the form of
+// the digit generation procedure. Using (alpha,gamma)=(-60,-32) works out well
+// in practice:
+//
+// The idea is to cut the number c * w = f * 2^e into two parts, which can be
+// processed independently: An integral part p1, and a fractional part p2:
+//
+//      f * 2^e = ( (f div 2^-e) * 2^-e + (f mod 2^-e) ) * 2^e
+//              = (f div 2^-e) + (f mod 2^-e) * 2^e
+//              = p1 + p2 * 2^e
+//
+// The conversion of p1 into decimal form requires a series of divisions and
+// modulos by (a power of) 10. These operations are faster for 32-bit than for
+// 64-bit integers, so p1 should ideally fit into a 32-bit integer. This can be
+// achieved by choosing
+//
+//      -e >= 32   or   e <= -32 := gamma
+//
+// In order to convert the fractional part
+//
+//      p2 * 2^e = p2 / 2^-e = d[-1] / 10^1 + d[-2] / 10^2 + ...
+//
+// into decimal form, the fraction is repeatedly multiplied by 10 and the digits
+// d[-i] are extracted in order:
+//
+//      (10 * p2) div 2^-e = d[-1]
+//      (10 * p2) mod 2^-e = d[-2] / 10^1 + ...
+//
+// The multiplication by 10 must not overflow. It is sufficient to choose
+//
+//      10 * p2 < 16 * p2 = 2^4 * p2 <= 2^64.
+//
+// Since p2 = f mod 2^-e < 2^-e,
+//
+//      -e <= 60   or   e >= -60 := alpha
+
+constexpr int kAlpha = -60;
+constexpr int kGamma = -32;
+
+struct cached_power // c = f * 2^e ~= 10^k
+{
+    uint64_t f;
+    int e;
+    int k;
+};
+
+/*!
+For a normalized diyfp w = f * 2^e, this function returns a (normalized) cached
+power-of-ten c = f_c * 2^e_c, such that the exponent of the product w * c
+satisfies (Definition 3.2 from [1])
+
+     alpha <= e_c + e + q <= gamma.
+*/
+inline cached_power get_cached_power_for_binary_exponent(int e)
+{
+    // Now
+    //
+    //      alpha <= e_c + e + q <= gamma                                    (1)
+    //      ==> f_c * 2^alpha <= c * 2^e * 2^q
+    //
+    // and since the c's are normalized, 2^(q-1) <= f_c,
+    //
+    //      ==> 2^(q - 1 + alpha) <= c * 2^(e + q)
+    //      ==> 2^(alpha - e - 1) <= c
+    //
+    // If c were an exakt power of ten, i.e. c = 10^k, one may determine k as
+    //
+    //      k = ceil( log_10( 2^(alpha - e - 1) ) )
+    //        = ceil( (alpha - e - 1) * log_10(2) )
+    //
+    // From the paper:
+    // "In theory the result of the procedure could be wrong since c is rounded,
+    //  and the computation itself is approximated [...]. In practice, however,
+    //  this simple function is sufficient."
+    //
+    // For IEEE double precision floating-point numbers converted into
+    // normalized diyfp's w = f * 2^e, with q = 64,
+    //
+    //      e >= -1022      (min IEEE exponent)
+    //           -52        (p - 1)
+    //           -52        (p - 1, possibly normalize denormal IEEE numbers)
+    //           -11        (normalize the diyfp)
+    //         = -1137
+    //
+    // and
+    //
+    //      e <= +1023      (max IEEE exponent)
+    //           -52        (p - 1)
+    //           -11        (normalize the diyfp)
+    //         = 960
+    //
+    // This binary exponent range [-1137,960] results in a decimal exponent
+    // range [-307,324]. One does not need to store a cached power for each
+    // k in this range. For each such k it suffices to find a cached power
+    // such that the exponent of the product lies in [alpha,gamma].
+    // This implies that the difference of the decimal exponents of adjacent
+    // table entries must be less than or equal to
+    //
+    //      floor( (gamma - alpha) * log_10(2) ) = 8.
+    //
+    // (A smaller distance gamma-alpha would require a larger table.)
+
+    // NB:
+    // Actually this function returns c, such that -60 <= e_c + e + 64 <= -34.
+
+    constexpr int kCachedPowersSize = 79;
+    constexpr int kCachedPowersMinDecExp = -300;
+    constexpr int kCachedPowersDecStep = 8;
+
+    static constexpr cached_power kCachedPowers[] =
+    {
+        { 0xAB70FE17C79AC6CA, -1060, -300 },
+        { 0xFF77B1FCBEBCDC4F, -1034, -292 },
+        { 0xBE5691EF416BD60C, -1007, -284 },
+        { 0x8DD01FAD907FFC3C,  -980, -276 },
+        { 0xD3515C2831559A83,  -954, -268 },
+        { 0x9D71AC8FADA6C9B5,  -927, -260 },
+        { 0xEA9C227723EE8BCB,  -901, -252 },
+        { 0xAECC49914078536D,  -874, -244 },
+        { 0x823C12795DB6CE57,  -847, -236 },
+        { 0xC21094364DFB5637,  -821, -228 },
+        { 0x9096EA6F3848984F,  -794, -220 },
+        { 0xD77485CB25823AC7,  -768, -212 },
+        { 0xA086CFCD97BF97F4,  -741, -204 },
+        { 0xEF340A98172AACE5,  -715, -196 },
+        { 0xB23867FB2A35B28E,  -688, -188 },
+        { 0x84C8D4DFD2C63F3B,  -661, -180 },
+        { 0xC5DD44271AD3CDBA,  -635, -172 },
+        { 0x936B9FCEBB25C996,  -608, -164 },
+        { 0xDBAC6C247D62A584,  -582, -156 },
+        { 0xA3AB66580D5FDAF6,  -555, -148 },
+        { 0xF3E2F893DEC3F126,  -529, -140 },
+        { 0xB5B5ADA8AAFF80B8,  -502, -132 },
+        { 0x87625F056C7C4A8B,  -475, -124 },
+        { 0xC9BCFF6034C13053,  -449, -116 },
+        { 0x964E858C91BA2655,  -422, -108 },
+        { 0xDFF9772470297EBD,  -396, -100 },
+        { 0xA6DFBD9FB8E5B88F,  -369,  -92 },
+        { 0xF8A95FCF88747D94,  -343,  -84 },
+        { 0xB94470938FA89BCF,  -316,  -76 },
+        { 0x8A08F0F8BF0F156B,  -289,  -68 },
+        { 0xCDB02555653131B6,  -263,  -60 },
+        { 0x993FE2C6D07B7FAC,  -236,  -52 },
+        { 0xE45C10C42A2B3B06,  -210,  -44 },
+        { 0xAA242499697392D3,  -183,  -36 },
+        { 0xFD87B5F28300CA0E,  -157,  -28 },
+        { 0xBCE5086492111AEB,  -130,  -20 },
+        { 0x8CBCCC096F5088CC,  -103,  -12 },
+        { 0xD1B71758E219652C,   -77,   -4 },
+        { 0x9C40000000000000,   -50,    4 },
+        { 0xE8D4A51000000000,   -24,   12 },
+        { 0xAD78EBC5AC620000,     3,   20 },
+        { 0x813F3978F8940984,    30,   28 },
+        { 0xC097CE7BC90715B3,    56,   36 },
+        { 0x8F7E32CE7BEA5C70,    83,   44 },
+        { 0xD5D238A4ABE98068,   109,   52 },
+        { 0x9F4F2726179A2245,   136,   60 },
+        { 0xED63A231D4C4FB27,   162,   68 },
+        { 0xB0DE65388CC8ADA8,   189,   76 },
+        { 0x83C7088E1AAB65DB,   216,   84 },
+        { 0xC45D1DF942711D9A,   242,   92 },
+        { 0x924D692CA61BE758,   269,  100 },
+        { 0xDA01EE641A708DEA,   295,  108 },
+        { 0xA26DA3999AEF774A,   322,  116 },
+        { 0xF209787BB47D6B85,   348,  124 },
+        { 0xB454E4A179DD1877,   375,  132 },
+        { 0x865B86925B9BC5C2,   402,  140 },
+        { 0xC83553C5C8965D3D,   428,  148 },
+        { 0x952AB45CFA97A0B3,   455,  156 },
+        { 0xDE469FBD99A05FE3,   481,  164 },
+        { 0xA59BC234DB398C25,   508,  172 },
+        { 0xF6C69A72A3989F5C,   534,  180 },
+        { 0xB7DCBF5354E9BECE,   561,  188 },
+        { 0x88FCF317F22241E2,   588,  196 },
+        { 0xCC20CE9BD35C78A5,   614,  204 },
+        { 0x98165AF37B2153DF,   641,  212 },
+        { 0xE2A0B5DC971F303A,   667,  220 },
+        { 0xA8D9D1535CE3B396,   694,  228 },
+        { 0xFB9B7CD9A4A7443C,   720,  236 },
+        { 0xBB764C4CA7A44410,   747,  244 },
+        { 0x8BAB8EEFB6409C1A,   774,  252 },
+        { 0xD01FEF10A657842C,   800,  260 },
+        { 0x9B10A4E5E9913129,   827,  268 },
+        { 0xE7109BFBA19C0C9D,   853,  276 },
+        { 0xAC2820D9623BF429,   880,  284 },
+        { 0x80444B5E7AA7CF85,   907,  292 },
+        { 0xBF21E44003ACDD2D,   933,  300 },
+        { 0x8E679C2F5E44FF8F,   960,  308 },
+        { 0xD433179D9C8CB841,   986,  316 },
+        { 0x9E19DB92B4E31BA9,  1013,  324 },
+    };
+
+    // This computation gives exactly the same results for k as
+    //      k = ceil((kAlpha - e - 1) * 0.30102999566398114)
+    // for |e| <= 1500, but doesn't require floating-point operations.
+    // NB: log_10(2) ~= 78913 / 2^18
+    assert(e >= -1500);
+    assert(e <=  1500);
+    const int f = kAlpha - e - 1;
+    const int k = (f * 78913) / (1 << 18) + (f > 0);
+
+    const int index = (-kCachedPowersMinDecExp + k + (kCachedPowersDecStep - 1)) / kCachedPowersDecStep;
+    assert(index >= 0);
+    assert(index < kCachedPowersSize);
+    static_cast<void>(kCachedPowersSize); // Fix warning.
+
+    const cached_power cached = kCachedPowers[index];
+    assert(kAlpha <= cached.e + e + 64);
+    assert(kGamma >= cached.e + e + 64);
+
+    return cached;
+}
+
+/*!
+For n != 0, returns k, such that pow10 := 10^(k-1) <= n < 10^k.
+For n == 0, returns 1 and sets pow10 := 1.
+*/
+inline int find_largest_pow10(const uint32_t n, uint32_t& pow10)
+{
+    // LCOV_EXCL_START
+    if (n >= 1000000000)
+    {
+        pow10 = 1000000000;
+        return 10;
+    }
+    // LCOV_EXCL_STOP
+    else if (n >= 100000000)
+    {
+        pow10 = 100000000;
+        return  9;
+    }
+    else if (n >= 10000000)
+    {
+        pow10 = 10000000;
+        return  8;
+    }
+    else if (n >= 1000000)
+    {
+        pow10 = 1000000;
+        return  7;
+    }
+    else if (n >= 100000)
+    {
+        pow10 = 100000;
+        return  6;
+    }
+    else if (n >= 10000)
+    {
+        pow10 = 10000;
+        return  5;
+    }
+    else if (n >= 1000)
+    {
+        pow10 = 1000;
+        return  4;
+    }
+    else if (n >= 100)
+    {
+        pow10 = 100;
+        return  3;
+    }
+    else if (n >= 10)
+    {
+        pow10 = 10;
+        return  2;
+    }
+    else
+    {
+        pow10 = 1;
+        return 1;
+    }
+}
+
+inline void grisu2_round(char* buf, int len, uint64_t dist, uint64_t delta,
+                         uint64_t rest, uint64_t ten_k)
+{
+    assert(len >= 1);
+    assert(dist <= delta);
+    assert(rest <= delta);
+    assert(ten_k > 0);
+
+    //               <--------------------------- delta ---->
+    //                                  <---- dist --------->
+    // --------------[------------------+-------------------]--------------
+    //               M-                 w                   M+
+    //
+    //                                  ten_k
+    //                                <------>
+    //                                       <---- rest ---->
+    // --------------[------------------+----+--------------]--------------
+    //                                  w    V
+    //                                       = buf * 10^k
+    //
+    // ten_k represents a unit-in-the-last-place in the decimal representation
+    // stored in buf.
+    // Decrement buf by ten_k while this takes buf closer to w.
+
+    // The tests are written in this order to avoid overflow in unsigned
+    // integer arithmetic.
+
+    while (rest < dist
+            and delta - rest >= ten_k
+            and (rest + ten_k < dist or dist - rest > rest + ten_k - dist))
+    {
+        assert(buf[len - 1] != '0');
+        buf[len - 1]--;
+        rest += ten_k;
+    }
+}
+
+/*!
+Generates V = buffer * 10^decimal_exponent, such that M- <= V <= M+.
+M- and M+ must be normalized and share the same exponent -60 <= e <= -32.
+*/
+inline void grisu2_digit_gen(char* buffer, int& length, int& decimal_exponent,
+                             diyfp M_minus, diyfp w, diyfp M_plus)
+{
+    static_assert(kAlpha >= -60, "internal error");
+    static_assert(kGamma <= -32, "internal error");
+
+    // Generates the digits (and the exponent) of a decimal floating-point
+    // number V = buffer * 10^decimal_exponent in the range [M-, M+]. The diyfp's
+    // w, M- and M+ share the same exponent e, which satisfies alpha <= e <= gamma.
+    //
+    //               <--------------------------- delta ---->
+    //                                  <---- dist --------->
+    // --------------[------------------+-------------------]--------------
+    //               M-                 w                   M+
+    //
+    // Grisu2 generates the digits of M+ from left to right and stops as soon as
+    // V is in [M-,M+].
+
+    assert(M_plus.e >= kAlpha);
+    assert(M_plus.e <= kGamma);
+
+    uint64_t delta = diyfp::sub(M_plus, M_minus).f; // (significand of (M+ - M-), implicit exponent is e)
+    uint64_t dist  = diyfp::sub(M_plus, w      ).f; // (significand of (M+ - w ), implicit exponent is e)
+
+    // Split M+ = f * 2^e into two parts p1 and p2 (note: e < 0):
+    //
+    //      M+ = f * 2^e
+    //         = ((f div 2^-e) * 2^-e + (f mod 2^-e)) * 2^e
+    //         = ((p1        ) * 2^-e + (p2        )) * 2^e
+    //         = p1 + p2 * 2^e
+
+    const diyfp one(uint64_t{1} << -M_plus.e, M_plus.e);
+
+    uint32_t p1 = static_cast<uint32_t>(M_plus.f >> -one.e); // p1 = f div 2^-e (Since -e >= 32, p1 fits into a 32-bit int.)
+    uint64_t p2 = M_plus.f & (one.f - 1);                    // p2 = f mod 2^-e
+
+    // 1)
+    //
+    // Generate the digits of the integral part p1 = d[n-1]...d[1]d[0]
+
+    assert(p1 > 0);
+
+    uint32_t pow10;
+    const int k = find_largest_pow10(p1, pow10);
+
+    //      10^(k-1) <= p1 < 10^k, pow10 = 10^(k-1)
+    //
+    //      p1 = (p1 div 10^(k-1)) * 10^(k-1) + (p1 mod 10^(k-1))
+    //         = (d[k-1]         ) * 10^(k-1) + (p1 mod 10^(k-1))
+    //
+    //      M+ = p1                                             + p2 * 2^e
+    //         = d[k-1] * 10^(k-1) + (p1 mod 10^(k-1))          + p2 * 2^e
+    //         = d[k-1] * 10^(k-1) + ((p1 mod 10^(k-1)) * 2^-e + p2) * 2^e
+    //         = d[k-1] * 10^(k-1) + (                         rest) * 2^e
+    //
+    // Now generate the digits d[n] of p1 from left to right (n = k-1,...,0)
+    //
+    //      p1 = d[k-1]...d[n] * 10^n + d[n-1]...d[0]
+    //
+    // but stop as soon as
+    //
+    //      rest * 2^e = (d[n-1]...d[0] * 2^-e + p2) * 2^e <= delta * 2^e
+
+    int n = k;
+    while (n > 0)
+    {
+        // Invariants:
+        //      M+ = buffer * 10^n + (p1 + p2 * 2^e)    (buffer = 0 for n = k)
+        //      pow10 = 10^(n-1) <= p1 < 10^n
+        //
+        const uint32_t d = p1 / pow10;  // d = p1 div 10^(n-1)
+        const uint32_t r = p1 % pow10;  // r = p1 mod 10^(n-1)
+        //
+        //      M+ = buffer * 10^n + (d * 10^(n-1) + r) + p2 * 2^e
+        //         = (buffer * 10 + d) * 10^(n-1) + (r + p2 * 2^e)
+        //
+        assert(d <= 9);
+        buffer[length++] = static_cast<char>('0' + d); // buffer := buffer * 10 + d
+        //
+        //      M+ = buffer * 10^(n-1) + (r + p2 * 2^e)
+        //
+        p1 = r;
+        n--;
+        //
+        //      M+ = buffer * 10^n + (p1 + p2 * 2^e)
+        //      pow10 = 10^n
+        //
+
+        // Now check if enough digits have been generated.
+        // Compute
+        //
+        //      p1 + p2 * 2^e = (p1 * 2^-e + p2) * 2^e = rest * 2^e
+        //
+        // Note:
+        // Since rest and delta share the same exponent e, it suffices to
+        // compare the significands.
+        const uint64_t rest = (uint64_t{p1} << -one.e) + p2;
+        if (rest <= delta)
+        {
+            // V = buffer * 10^n, with M- <= V <= M+.
+
+            decimal_exponent += n;
+
+            // We may now just stop. But instead look if the buffer could be
+            // decremented to bring V closer to w.
+            //
+            // pow10 = 10^n is now 1 ulp in the decimal representation V.
+            // The rounding procedure works with diyfp's with an implicit
+            // exponent of e.
+            //
+            //      10^n = (10^n * 2^-e) * 2^e = ulp * 2^e
+            //
+            const uint64_t ten_n = uint64_t{pow10} << -one.e;
+            grisu2_round(buffer, length, dist, delta, rest, ten_n);
+
+            return;
+        }
+
+        pow10 /= 10;
+        //
+        //      pow10 = 10^(n-1) <= p1 < 10^n
+        // Invariants restored.
+    }
+
+    // 2)
+    //
+    // The digits of the integral part have been generated:
+    //
+    //      M+ = d[k-1]...d[1]d[0] + p2 * 2^e
+    //         = buffer            + p2 * 2^e
+    //
+    // Now generate the digits of the fractional part p2 * 2^e.
+    //
+    // Note:
+    // No decimal point is generated: the exponent is adjusted instead.
+    //
+    // p2 actually represents the fraction
+    //
+    //      p2 * 2^e
+    //          = p2 / 2^-e
+    //          = d[-1] / 10^1 + d[-2] / 10^2 + ...
+    //
+    // Now generate the digits d[-m] of p1 from left to right (m = 1,2,...)
+    //
+    //      p2 * 2^e = d[-1]d[-2]...d[-m] * 10^-m
+    //                      + 10^-m * (d[-m-1] / 10^1 + d[-m-2] / 10^2 + ...)
+    //
+    // using
+    //
+    //      10^m * p2 = ((10^m * p2) div 2^-e) * 2^-e + ((10^m * p2) mod 2^-e)
+    //                = (                   d) * 2^-e + (                   r)
+    //
+    // or
+    //      10^m * p2 * 2^e = d + r * 2^e
+    //
+    // i.e.
+    //
+    //      M+ = buffer + p2 * 2^e
+    //         = buffer + 10^-m * (d + r * 2^e)
+    //         = (buffer * 10^m + d) * 10^-m + 10^-m * r * 2^e
+    //
+    // and stop as soon as 10^-m * r * 2^e <= delta * 2^e
+
+    assert(p2 > delta);
+
+    int m = 0;
+    for (;;)
+    {
+        // Invariant:
+        //      M+ = buffer * 10^-m + 10^-m * (d[-m-1] / 10 + d[-m-2] / 10^2 + ...) * 2^e
+        //         = buffer * 10^-m + 10^-m * (p2                                 ) * 2^e
+        //         = buffer * 10^-m + 10^-m * (1/10 * (10 * p2)                   ) * 2^e
+        //         = buffer * 10^-m + 10^-m * (1/10 * ((10*p2 div 2^-e) * 2^-e + (10*p2 mod 2^-e)) * 2^e
+        //
+        assert(p2 <= UINT64_MAX / 10);
+        p2 *= 10;
+        const uint64_t d = p2 >> -one.e;     // d = (10 * p2) div 2^-e
+        const uint64_t r = p2 & (one.f - 1); // r = (10 * p2) mod 2^-e
+        //
+        //      M+ = buffer * 10^-m + 10^-m * (1/10 * (d * 2^-e + r) * 2^e
+        //         = buffer * 10^-m + 10^-m * (1/10 * (d + r * 2^e))
+        //         = (buffer * 10 + d) * 10^(-m-1) + 10^(-m-1) * r * 2^e
+        //
+        assert(d <= 9);
+        buffer[length++] = static_cast<char>('0' + d); // buffer := buffer * 10 + d
+        //
+        //      M+ = buffer * 10^(-m-1) + 10^(-m-1) * r * 2^e
+        //
+        p2 = r;
+        m++;
+        //
+        //      M+ = buffer * 10^-m + 10^-m * p2 * 2^e
+        // Invariant restored.
+
+        // Check if enough digits have been generated.
+        //
+        //      10^-m * p2 * 2^e <= delta * 2^e
+        //              p2 * 2^e <= 10^m * delta * 2^e
+        //                    p2 <= 10^m * delta
+        delta *= 10;
+        dist  *= 10;
+        if (p2 <= delta)
+        {
+            break;
+        }
+    }
+
+    // V = buffer * 10^-m, with M- <= V <= M+.
+
+    decimal_exponent -= m;
+
+    // 1 ulp in the decimal representation is now 10^-m.
+    // Since delta and dist are now scaled by 10^m, we need to do the
+    // same with ulp in order to keep the units in sync.
+    //
+    //      10^m * 10^-m = 1 = 2^-e * 2^e = ten_m * 2^e
+    //
+    const uint64_t ten_m = one.f;
+    grisu2_round(buffer, length, dist, delta, p2, ten_m);
+
+    // By construction this algorithm generates the shortest possible decimal
+    // number (Loitsch, Theorem 6.2) which rounds back to w.
+    // For an input number of precision p, at least
+    //
+    //      N = 1 + ceil(p * log_10(2))
+    //
+    // decimal digits are sufficient to identify all binary floating-point
+    // numbers (Matula, "In-and-Out conversions").
+    // This implies that the algorithm does not produce more than N decimal
+    // digits.
+    //
+    //      N = 17 for p = 53 (IEEE double precision)
+    //      N = 9  for p = 24 (IEEE single precision)
+}
+
+/*!
+v = buf * 10^decimal_exponent
+len is the length of the buffer (number of decimal digits)
+The buffer must be large enough, i.e. >= max_digits10.
+*/
+inline void grisu2(char* buf, int& len, int& decimal_exponent,
+                   diyfp m_minus, diyfp v, diyfp m_plus)
+{
+    assert(m_plus.e == m_minus.e);
+    assert(m_plus.e == v.e);
+
+    //  --------(-----------------------+-----------------------)--------    (A)
+    //          m-                      v                       m+
+    //
+    //  --------------------(-----------+-----------------------)--------    (B)
+    //                      m-          v                       m+
+    //
+    // First scale v (and m- and m+) such that the exponent is in the range
+    // [alpha, gamma].
+
+    const cached_power cached = get_cached_power_for_binary_exponent(m_plus.e);
+
+    const diyfp c_minus_k(cached.f, cached.e); // = c ~= 10^-k
+
+    // The exponent of the products is = v.e + c_minus_k.e + q and is in the range [alpha,gamma]
+    const diyfp w       = diyfp::mul(v,       c_minus_k);
+    const diyfp w_minus = diyfp::mul(m_minus, c_minus_k);
+    const diyfp w_plus  = diyfp::mul(m_plus,  c_minus_k);
+
+    //  ----(---+---)---------------(---+---)---------------(---+---)----
+    //          w-                      w                       w+
+    //          = c*m-                  = c*v                   = c*m+
+    //
+    // diyfp::mul rounds its result and c_minus_k is approximated too. w, w- and
+    // w+ are now off by a small amount.
+    // In fact:
+    //
+    //      w - v * 10^k < 1 ulp
+    //
+    // To account for this inaccuracy, add resp. subtract 1 ulp.
+    //
+    //  --------+---[---------------(---+---)---------------]---+--------
+    //          w-  M-                  w                   M+  w+
+    //
+    // Now any number in [M-, M+] (bounds included) will round to w when input,
+    // regardless of how the input rounding algorithm breaks ties.
+    //
+    // And digit_gen generates the shortest possible such number in [M-, M+].
+    // Note that this does not mean that Grisu2 always generates the shortest
+    // possible number in the interval (m-, m+).
+    const diyfp M_minus(w_minus.f + 1, w_minus.e);
+    const diyfp M_plus (w_plus.f  - 1, w_plus.e );
+
+    decimal_exponent = -cached.k; // = -(-k) = k
+
+    grisu2_digit_gen(buf, len, decimal_exponent, M_minus, w, M_plus);
+}
+
+/*!
+v = buf * 10^decimal_exponent
+len is the length of the buffer (number of decimal digits)
+The buffer must be large enough, i.e. >= max_digits10.
+*/
+template <typename FloatType>
+void grisu2(char* buf, int& len, int& decimal_exponent, FloatType value)
+{
+    static_assert(diyfp::kPrecision >= std::numeric_limits<FloatType>::digits + 3,
+                  "internal error: not enough precision");
+
+    assert(std::isfinite(value));
+    assert(value > 0);
+
+    // If the neighbors (and boundaries) of 'value' are always computed for double-precision
+    // numbers, all float's can be recovered using strtod (and strtof). However, the resulting
+    // decimal representations are not exactly "short".
+    //
+    // The documentation for 'std::to_chars' (https://en.cppreference.com/w/cpp/utility/to_chars)
+    // says "value is converted to a string as if by std::sprintf in the default ("C") locale"
+    // and since sprintf promotes float's to double's, I think this is exactly what 'std::to_chars'
+    // does.
+    // On the other hand, the documentation for 'std::to_chars' requires that "parsing the
+    // representation using the corresponding std::from_chars function recovers value exactly". That
+    // indicates that single precision floating-point numbers should be recovered using
+    // 'std::strtof'.
+    //
+    // NB: If the neighbors are computed for single-precision numbers, there is a single float
+    //     (7.0385307e-26f) which can't be recovered using strtod. The resulting double precision
+    //     value is off by 1 ulp.
+#if 0
+    const boundaries w = compute_boundaries(static_cast<double>(value));
+#else
+    const boundaries w = compute_boundaries(value);
+#endif
+
+    grisu2(buf, len, decimal_exponent, w.minus, w.w, w.plus);
+}
+
+/*!
+@brief appends a decimal representation of e to buf
+@return a pointer to the element following the exponent.
+@pre -1000 < e < 1000
+*/
+inline char* append_exponent(char* buf, int e)
+{
+    assert(e > -1000);
+    assert(e <  1000);
+
+    if (e < 0)
+    {
+        e = -e;
+        *buf++ = '-';
+    }
+    else
+    {
+        *buf++ = '+';
+    }
+
+    uint32_t k = static_cast<uint32_t>(e);
+    if (k < 10)
+    {
+        // Always print at least two digits in the exponent.
+        // This is for compatibility with printf("%g").
+        *buf++ = '0';
+        *buf++ = static_cast<char>('0' + k);
+    }
+    else if (k < 100)
+    {
+        *buf++ = static_cast<char>('0' + k / 10);
+        k %= 10;
+        *buf++ = static_cast<char>('0' + k);
+    }
+    else
+    {
+        *buf++ = static_cast<char>('0' + k / 100);
+        k %= 100;
+        *buf++ = static_cast<char>('0' + k / 10);
+        k %= 10;
+        *buf++ = static_cast<char>('0' + k);
+    }
+
+    return buf;
+}
+
+/*!
+@brief prettify v = buf * 10^decimal_exponent
+
+If v is in the range [10^min_exp, 10^max_exp) it will be printed in fixed-point
+notation. Otherwise it will be printed in exponential notation.
+
+@pre min_exp < 0
+@pre max_exp > 0
+*/
+inline char* format_buffer(char* buf, int len, int decimal_exponent,
+                           int min_exp, int max_exp)
+{
+    assert(min_exp < 0);
+    assert(max_exp > 0);
+
+    const int k = len;
+    const int n = len + decimal_exponent;
+
+    // v = buf * 10^(n-k)
+    // k is the length of the buffer (number of decimal digits)
+    // n is the position of the decimal point relative to the start of the buffer.
+
+    if (k <= n and n <= max_exp)
+    {
+        // digits[000]
+        // len <= max_exp + 2
+
+        std::memset(buf + k, '0', static_cast<size_t>(n - k));
+        // Make it look like a floating-point number (#362, #378)
+        buf[n + 0] = '.';
+        buf[n + 1] = '0';
+        return buf + (n + 2);
+    }
+
+    if (0 < n and n <= max_exp)
+    {
+        // dig.its
+        // len <= max_digits10 + 1
+
+        assert(k > n);
+
+        std::memmove(buf + (n + 1), buf + n, static_cast<size_t>(k - n));
+        buf[n] = '.';
+        return buf + (k + 1);
+    }
+
+    if (min_exp < n and n <= 0)
+    {
+        // 0.[000]digits
+        // len <= 2 + (-min_exp - 1) + max_digits10
+
+        std::memmove(buf + (2 + -n), buf, static_cast<size_t>(k));
+        buf[0] = '0';
+        buf[1] = '.';
+        std::memset(buf + 2, '0', static_cast<size_t>(-n));
+        return buf + (2 + (-n) + k);
+    }
+
+    if (k == 1)
+    {
+        // dE+123
+        // len <= 1 + 5
+
+        buf += 1;
+    }
+    else
+    {
+        // d.igitsE+123
+        // len <= max_digits10 + 1 + 5
+
+        std::memmove(buf + 2, buf + 1, static_cast<size_t>(k - 1));
+        buf[1] = '.';
+        buf += 1 + k;
+    }
+
+    *buf++ = 'e';
+    return append_exponent(buf, n - 1);
+}
+
+} // namespace dtoa_impl
+
+/*!
+@brief generates a decimal representation of the floating-point number value in [first, last).
+
+The format of the resulting decimal representation is similar to printf's %g
+format. Returns an iterator pointing past-the-end of the decimal representation.
+
+@note The input number must be finite, i.e. NaN's and Inf's are not supported.
+@note The buffer must be large enough.
+@note The result is NOT null-terminated.
+*/
+template <typename FloatType>
+char* to_chars(char* first, char* last, FloatType value)
+{
+    static_cast<void>(last); // maybe unused - fix warning
+    assert(std::isfinite(value));
+
+    // Use signbit(value) instead of (value < 0) since signbit works for -0.
+    if (std::signbit(value))
+    {
+        value = -value;
+        *first++ = '-';
+    }
+
+    if (value == 0) // +-0
+    {
+        *first++ = '0';
+        // Make it look like a floating-point number (#362, #378)
+        *first++ = '.';
+        *first++ = '0';
+        return first;
+    }
+
+    assert(last - first >= std::numeric_limits<FloatType>::max_digits10);
+
+    // Compute v = buffer * 10^decimal_exponent.
+    // The decimal digits are stored in the buffer, which needs to be interpreted
+    // as an unsigned decimal integer.
+    // len is the length of the buffer, i.e. the number of decimal digits.
+    int len = 0;
+    int decimal_exponent = 0;
+    dtoa_impl::grisu2(first, len, decimal_exponent, value);
+
+    assert(len <= std::numeric_limits<FloatType>::max_digits10);
+
+    // Format the buffer like printf("%.*g", prec, value)
+    constexpr int kMinExp = -4;
+    // Use digits10 here to increase compatibility with version 2.
+    constexpr int kMaxExp = std::numeric_limits<FloatType>::digits10;
+
+    assert(last - first >= kMaxExp + 2);
+    assert(last - first >= 2 + (-kMinExp - 1) + std::numeric_limits<FloatType>::max_digits10);
+    assert(last - first >= std::numeric_limits<FloatType>::max_digits10 + 6);
+
+    return dtoa_impl::format_buffer(first, len, decimal_exponent, kMinExp, kMaxExp);
+}
+
+} // namespace detail
+} // namespace nlohmann
+
+// #include <nlohmann/detail/macro_scope.hpp>
+
+// #include <nlohmann/detail/meta/cpp_future.hpp>
+
+// #include <nlohmann/detail/output/output_adapters.hpp>
+
+// #include <nlohmann/detail/value_t.hpp>
+
+
+namespace nlohmann
+{
+namespace detail
+{
 ///////////////////
 // serialization //
 ///////////////////
@@ -6107,6 +9742,9 @@ class serializer
     using number_float_t = typename BasicJsonType::number_float_t;
     using number_integer_t = typename BasicJsonType::number_integer_t;
     using number_unsigned_t = typename BasicJsonType::number_unsigned_t;
+    static constexpr uint8_t UTF8_ACCEPT = 0;
+    static constexpr uint8_t UTF8_REJECT = 1;
+
   public:
     /*!
     @param[in] s  output stream to serialize to
@@ -6114,9 +9752,10 @@ class serializer
     */
     serializer(output_adapter_t<char> s, const char ichar)
         : o(std::move(s)), loc(std::localeconv()),
-          thousands_sep(loc->thousands_sep == nullptr ? '\0' : loc->thousands_sep[0]),
-          decimal_point(loc->decimal_point == nullptr ? '\0' : loc->decimal_point[0]),
-          indent_char(ichar), indent_string(512, indent_char) {}
+          thousands_sep(loc->thousands_sep == nullptr ? '\0' : * (loc->thousands_sep)),
+          decimal_point(loc->decimal_point == nullptr ? '\0' : * (loc->decimal_point)),
+          indent_char(ichar), indent_string(512, indent_char)
+    {}
 
     // delete because of pointer members
     serializer(const serializer&) = delete;
@@ -6332,175 +9971,6 @@ class serializer
     }
 
   private:
-    /*!
-    @brief returns the number of expected bytes following in UTF-8 string
-
-    @param[in]  u  the first byte of a UTF-8 string
-    @return  the number of expected bytes following
-    */
-    static constexpr std::size_t bytes_following(const uint8_t u)
-    {
-        return ((0 <= u and u <= 127) ? 0
-                : ((192 <= u and u <= 223) ? 1
-                   : ((224 <= u and u <= 239) ? 2
-                      : ((240 <= u and u <= 247) ? 3 : std::string::npos))));
-    }
-
-    /*!
-    @brief calculates the extra space to escape a JSON string
-
-    @param[in] s  the string to escape
-    @param[in] ensure_ascii  whether to escape non-ASCII characters with
-                             \uXXXX sequences
-    @return the number of characters required to escape string @a s
-
-    @complexity Linear in the length of string @a s.
-    */
-    static std::size_t extra_space(const string_t& s,
-                                   const bool ensure_ascii) noexcept
-    {
-        std::size_t res = 0;
-
-        for (std::size_t i = 0; i < s.size(); ++i)
-        {
-            switch (s[i])
-            {
-                // control characters that can be escaped with a backslash
-                case '"':
-                case '\\':
-                case '\b':
-                case '\f':
-                case '\n':
-                case '\r':
-                case '\t':
-                {
-                    // from c (1 byte) to \x (2 bytes)
-                    res += 1;
-                    break;
-                }
-
-                // control characters that need \uxxxx escaping
-                case 0x00:
-                case 0x01:
-                case 0x02:
-                case 0x03:
-                case 0x04:
-                case 0x05:
-                case 0x06:
-                case 0x07:
-                case 0x0b:
-                case 0x0e:
-                case 0x0f:
-                case 0x10:
-                case 0x11:
-                case 0x12:
-                case 0x13:
-                case 0x14:
-                case 0x15:
-                case 0x16:
-                case 0x17:
-                case 0x18:
-                case 0x19:
-                case 0x1a:
-                case 0x1b:
-                case 0x1c:
-                case 0x1d:
-                case 0x1e:
-                case 0x1f:
-                {
-                    // from c (1 byte) to \uxxxx (6 bytes)
-                    res += 5;
-                    break;
-                }
-
-                default:
-                {
-                    if (ensure_ascii and (s[i] & 0x80 or s[i] == 0x7F))
-                    {
-                        const auto bytes = bytes_following(static_cast<uint8_t>(s[i]));
-                        if (bytes == std::string::npos)
-                        {
-                            // invalid characters are treated as is, so no
-                            // additional space will be used
-                            break;
-                        }
-
-                        if (bytes == 3)
-                        {
-                            // codepoints that need 4 bytes (i.e., 3 additional
-                            // bytes) in UTF-8 need a surrogate pair when \u
-                            // escaping is used: from 4 bytes to \uxxxx\uxxxx
-                            // (12 bytes)
-                            res += (12 - bytes - 1);
-                        }
-                        else
-                        {
-                            // from x bytes to \uxxxx (6 bytes)
-                            res += (6 - bytes - 1);
-                        }
-
-                        // skip the additional bytes
-                        i += bytes;
-                    }
-                    break;
-                }
-            }
-        }
-
-        return res;
-    }
-
-    static void escape_codepoint(int codepoint, string_t& result, std::size_t& pos)
-    {
-        // expecting a proper codepoint
-        assert(0x00 <= codepoint and codepoint <= 0x10FFFF);
-
-        // the last written character was the backslash before the 'u'
-        assert(result[pos] == '\\');
-
-        // write the 'u'
-        result[++pos] = 'u';
-
-        // convert a number 0..15 to its hex representation (0..f)
-        static const std::array<char, 16> hexify =
-        {
-            {
-                '0', '1', '2', '3', '4', '5', '6', '7',
-                '8', '9', 'a', 'b', 'c', 'd', 'e', 'f'
-            }
-        };
-
-        if (codepoint < 0x10000)
-        {
-            // codepoints U+0000..U+FFFF can be represented as \uxxxx.
-            result[++pos] = hexify[(codepoint >> 12) & 0x0F];
-            result[++pos] = hexify[(codepoint >> 8) & 0x0F];
-            result[++pos] = hexify[(codepoint >> 4) & 0x0F];
-            result[++pos] = hexify[codepoint & 0x0F];
-        }
-        else
-        {
-            // codepoints U+10000..U+10FFFF need a surrogate pair to be
-            // represented as \uxxxx\uxxxx.
-            // http://www.unicode.org/faq/utf_bom.html#utf16-4
-            codepoint -= 0x10000;
-            const int high_surrogate = 0xD800 | ((codepoint >> 10) & 0x3FF);
-            const int low_surrogate = 0xDC00 | (codepoint & 0x3FF);
-            result[++pos] = hexify[(high_surrogate >> 12) & 0x0F];
-            result[++pos] = hexify[(high_surrogate >> 8) & 0x0F];
-            result[++pos] = hexify[(high_surrogate >> 4) & 0x0F];
-            result[++pos] = hexify[high_surrogate & 0x0F];
-            ++pos;  // backslash is already in output
-            result[++pos] = 'u';
-            result[++pos] = hexify[(low_surrogate >> 12) & 0x0F];
-            result[++pos] = hexify[(low_surrogate >> 8) & 0x0F];
-            result[++pos] = hexify[(low_surrogate >> 4) & 0x0F];
-            result[++pos] = hexify[low_surrogate & 0x0F];
-        }
-
-        ++pos;
-    }
-
     /*!
     @brief dump escaped string
 
@@ -6515,146 +9985,146 @@ class serializer
 
     @complexity Linear in the length of string @a s.
     */
-    void dump_escaped(const string_t& s, const bool ensure_ascii) const
+    void dump_escaped(const string_t& s, const bool ensure_ascii)
     {
-        const auto space = extra_space(s, ensure_ascii);
-        if (space == 0)
-        {
-            o->write_characters(s.c_str(), s.size());
-            return;
-        }
-
-        // create a result string of necessary size
-        string_t result(s.size() + space, '\\');
-        std::size_t pos = 0;
+        uint32_t codepoint;
+        uint8_t state = UTF8_ACCEPT;
+        std::size_t bytes = 0;  // number of bytes written to string_buffer
 
         for (std::size_t i = 0; i < s.size(); ++i)
         {
-            switch (s[i])
+            const auto byte = static_cast<uint8_t>(s[i]);
+
+            switch (decode(state, codepoint, byte))
             {
-                case '"': // quotation mark (0x22)
+                case UTF8_ACCEPT:  // decode found a new code point
                 {
-                    result[pos + 1] = '"';
-                    pos += 2;
-                    break;
-                }
-
-                case '\\': // reverse solidus (0x5c)
-                {
-                    // nothing to change
-                    pos += 2;
-                    break;
-                }
-
-                case '\b': // backspace (0x08)
-                {
-                    result[pos + 1] = 'b';
-                    pos += 2;
-                    break;
-                }
-
-                case '\f': // formfeed (0x0c)
-                {
-                    result[pos + 1] = 'f';
-                    pos += 2;
-                    break;
-                }
-
-                case '\n': // newline (0x0a)
-                {
-                    result[pos + 1] = 'n';
-                    pos += 2;
-                    break;
-                }
-
-                case '\r': // carriage return (0x0d)
-                {
-                    result[pos + 1] = 'r';
-                    pos += 2;
-                    break;
-                }
-
-                case '\t': // horizontal tab (0x09)
-                {
-                    result[pos + 1] = 't';
-                    pos += 2;
-                    break;
-                }
-
-                default:
-                {
-                    // escape control characters (0x00..0x1F) or, if
-                    // ensure_ascii parameter is used, non-ASCII characters
-                    if ((0x00 <= s[i] and s[i] <= 0x1F) or
-                            (ensure_ascii and (s[i] & 0x80 or s[i] == 0x7F)))
+                    switch (codepoint)
                     {
-                        const auto bytes = bytes_following(static_cast<uint8_t>(s[i]));
-                        if (bytes == std::string::npos)
+                        case 0x08: // backspace
                         {
-                            // copy invalid character as is
-                            result[pos++] = s[i];
+                            string_buffer[bytes++] = '\\';
+                            string_buffer[bytes++] = 'b';
                             break;
                         }
 
-                        // check that the additional bytes are present
-                        assert(i + bytes < s.size());
-
-                        // to use \uxxxx escaping, we first need to caluclate
-                        // the codepoint from the UTF-8 bytes
-                        int codepoint = 0;
-
-                        assert(0 <= bytes and bytes <= 3);
-                        switch (bytes)
+                        case 0x09: // horizontal tab
                         {
-                            case 0:
-                            {
-                                codepoint = s[i] & 0xFF;
-                                break;
-                            }
-
-                            case 1:
-                            {
-                                codepoint = ((s[i] & 0x3F) << 6)
-                                            + (s[i + 1] & 0x7F);
-                                break;
-                            }
-
-                            case 2:
-                            {
-                                codepoint = ((s[i] & 0x1F) << 12)
-                                            + ((s[i + 1] & 0x7F) << 6)
-                                            + (s[i + 2] & 0x7F);
-                                break;
-                            }
-
-                            case 3:
-                            {
-                                codepoint = ((s[i] & 0xF) << 18)
-                                            + ((s[i + 1] & 0x7F) << 12)
-                                            + ((s[i + 2] & 0x7F) << 6)
-                                            + (s[i + 3] & 0x7F);
-                                break;
-                            }
-
-                            default:
-                                break;  // LCOV_EXCL_LINE
+                            string_buffer[bytes++] = '\\';
+                            string_buffer[bytes++] = 't';
+                            break;
                         }
 
-                        escape_codepoint(codepoint, result, pos);
-                        i += bytes;
+                        case 0x0A: // newline
+                        {
+                            string_buffer[bytes++] = '\\';
+                            string_buffer[bytes++] = 'n';
+                            break;
+                        }
+
+                        case 0x0C: // formfeed
+                        {
+                            string_buffer[bytes++] = '\\';
+                            string_buffer[bytes++] = 'f';
+                            break;
+                        }
+
+                        case 0x0D: // carriage return
+                        {
+                            string_buffer[bytes++] = '\\';
+                            string_buffer[bytes++] = 'r';
+                            break;
+                        }
+
+                        case 0x22: // quotation mark
+                        {
+                            string_buffer[bytes++] = '\\';
+                            string_buffer[bytes++] = '\"';
+                            break;
+                        }
+
+                        case 0x5C: // reverse solidus
+                        {
+                            string_buffer[bytes++] = '\\';
+                            string_buffer[bytes++] = '\\';
+                            break;
+                        }
+
+                        default:
+                        {
+                            // escape control characters (0x00..0x1F) or, if
+                            // ensure_ascii parameter is used, non-ASCII characters
+                            if ((codepoint <= 0x1F) or (ensure_ascii and (codepoint >= 0x7F)))
+                            {
+                                if (codepoint <= 0xFFFF)
+                                {
+                                    std::snprintf(string_buffer.data() + bytes, 7, "\\u%04x",
+                                                  static_cast<uint16_t>(codepoint));
+                                    bytes += 6;
+                                }
+                                else
+                                {
+                                    std::snprintf(string_buffer.data() + bytes, 13, "\\u%04x\\u%04x",
+                                                  static_cast<uint16_t>(0xD7C0 + (codepoint >> 10)),
+                                                  static_cast<uint16_t>(0xDC00 + (codepoint & 0x3FF)));
+                                    bytes += 12;
+                                }
+                            }
+                            else
+                            {
+                                // copy byte to buffer (all previous bytes
+                                // been copied have in default case above)
+                                string_buffer[bytes++] = s[i];
+                            }
+                            break;
+                        }
                     }
-                    else
+
+                    // write buffer and reset index; there must be 13 bytes
+                    // left, as this is the maximal number of bytes to be
+                    // written ("\uxxxx\uxxxx\0") for one code point
+                    if (string_buffer.size() - bytes < 13)
                     {
-                        // all other characters are added as-is
-                        result[pos++] = s[i];
+                        o->write_characters(string_buffer.data(), bytes);
+                        bytes = 0;
+                    }
+                    break;
+                }
+
+                case UTF8_REJECT:  // decode found invalid UTF-8 byte
+                {
+                    std::string sn(3, '\0');
+                    snprintf(&sn[0], sn.size(), "%.2X", byte);
+                    JSON_THROW(type_error::create(316, "invalid UTF-8 byte at index " + std::to_string(i) + ": 0x" + sn));
+                }
+
+                default:  // decode found yet incomplete multi-byte code point
+                {
+                    if (not ensure_ascii)
+                    {
+                        // code point will not be escaped - copy byte to buffer
+                        string_buffer[bytes++] = s[i];
                     }
                     break;
                 }
             }
         }
 
-        assert(pos == result.size());
-        o->write_characters(result.c_str(), result.size());
+        if (JSON_LIKELY(state == UTF8_ACCEPT))
+        {
+            // write buffer
+            if (bytes > 0)
+            {
+                o->write_characters(string_buffer.data(), bytes);
+            }
+        }
+        else
+        {
+            // we finish reading, but do not accept: string was incomplete
+            std::string sn(3, '\0');
+            snprintf(&sn[0], sn.size(), "%.2X", static_cast<uint8_t>(s.back()));
+            JSON_THROW(type_error::create(316, "incomplete UTF-8 string; last byte: 0x" + sn));
+        }
     }
 
     /*!
@@ -6666,11 +10136,10 @@ class serializer
     @param[in] x  integer number (signed or unsigned) to dump
     @tparam NumberType either @a number_integer_t or @a number_unsigned_t
     */
-    template <
-        typename NumberType,
-        detail::enable_if_t<std::is_same<NumberType, number_unsigned_t>::value or
-                            std::is_same<NumberType, number_integer_t>::value,
-                            int> = 0 >
+    template<typename NumberType, detail::enable_if_t<
+                 std::is_same<NumberType, number_unsigned_t>::value or
+                 std::is_same<NumberType, number_integer_t>::value,
+                 int> = 0>
     void dump_integer(NumberType x)
     {
         // special case for "0"
@@ -6680,20 +10149,19 @@ class serializer
             return;
         }
 
-        const bool is_negative = x < 0;
+        const bool is_negative = not (x >= 0);  // see issue #755
         std::size_t i = 0;
 
-        // spare 1 byte for '\0'
-        while (x != 0 and i < number_buffer.size() - 1)
+        while (x != 0)
         {
+            // spare 1 byte for '\0'
+            assert(i < number_buffer.size() - 1);
+
             const auto digit = std::labs(static_cast<long>(x % 10));
             number_buffer[i++] = static_cast<char>('0' + digit);
             x /= 10;
         }
 
-        // make sure the number has been processed completely
-        assert(x == 0);
-
         if (is_negative)
         {
             // make sure there is capacity for the '-'
@@ -6716,28 +10184,36 @@ class serializer
     void dump_float(number_float_t x)
     {
         // NaN / inf
-        if (not std::isfinite(x) or std::isnan(x))
+        if (not std::isfinite(x))
         {
             o->write_characters("null", 4);
             return;
         }
 
-        // special case for 0.0 and -0.0
-        if (x == 0)
-        {
-            if (std::signbit(x))
-            {
-                o->write_characters("-0.0", 4);
-            }
-            else
-            {
-                o->write_characters("0.0", 3);
-            }
-            return;
-        }
+        // If number_float_t is an IEEE-754 single or double precision number,
+        // use the Grisu2 algorithm to produce short numbers which are
+        // guaranteed to round-trip, using strtof and strtod, resp.
+        //
+        // NB: The test below works if <long double> == <double>.
+        static constexpr bool is_ieee_single_or_double
+            = (std::numeric_limits<number_float_t>::is_iec559 and std::numeric_limits<number_float_t>::digits == 24 and std::numeric_limits<number_float_t>::max_exponent == 128) or
+              (std::numeric_limits<number_float_t>::is_iec559 and std::numeric_limits<number_float_t>::digits == 53 and std::numeric_limits<number_float_t>::max_exponent == 1024);
 
-        // get number of digits for a text -> float -> text round-trip
-        static constexpr auto d = std::numeric_limits<number_float_t>::digits10;
+        dump_float(x, std::integral_constant<bool, is_ieee_single_or_double>());
+    }
+
+    void dump_float(number_float_t x, std::true_type /*is_ieee_single_or_double*/)
+    {
+        char* begin = number_buffer.data();
+        char* end = ::nlohmann::detail::to_chars(begin, begin + number_buffer.size(), x);
+
+        o->write_characters(begin, static_cast<size_t>(end - begin));
+    }
+
+    void dump_float(number_float_t x, std::false_type /*is_ieee_single_or_double*/)
+    {
+        // get number of digits for a float -> text -> float round-trip
+        static constexpr auto d = std::numeric_limits<number_float_t>::max_digits10;
 
         // the actual conversion
         std::ptrdiff_t len = snprintf(number_buffer.data(), number_buffer.size(), "%.*g", d, x);
@@ -6783,6 +10259,59 @@ class serializer
         }
     }
 
+    /*!
+    @brief check whether a string is UTF-8 encoded
+
+    The function checks each byte of a string whether it is UTF-8 encoded. The
+    result of the check is stored in the @a state parameter. The function must
+    be called initially with state 0 (accept). State 1 means the string must
+    be rejected, because the current byte is not allowed. If the string is
+    completely processed, but the state is non-zero, the string ended
+    prematurely; that is, the last byte indicated more bytes should have
+    followed.
+
+    @param[in,out] state  the state of the decoding
+    @param[in,out] codep  codepoint (valid only if resulting state is UTF8_ACCEPT)
+    @param[in] byte       next byte to decode
+    @return               new state
+
+    @note The function has been edited: a std::array is used.
+
+    @copyright Copyright (c) 2008-2009 Bjoern Hoehrmann <bjoern@hoehrmann.de>
+    @sa http://bjoern.hoehrmann.de/utf-8/decoder/dfa/
+    */
+    static uint8_t decode(uint8_t& state, uint32_t& codep, const uint8_t byte) noexcept
+    {
+        static const std::array<uint8_t, 400> utf8d =
+        {
+            {
+                0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, // 00..1F
+                0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, // 20..3F
+                0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, // 40..5F
+                0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, // 60..7F
+                1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, // 80..9F
+                7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, // A0..BF
+                8, 8, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, // C0..DF
+                0xA, 0x3, 0x3, 0x3, 0x3, 0x3, 0x3, 0x3, 0x3, 0x3, 0x3, 0x3, 0x3, 0x4, 0x3, 0x3, // E0..EF
+                0xB, 0x6, 0x6, 0x6, 0x5, 0x8, 0x8, 0x8, 0x8, 0x8, 0x8, 0x8, 0x8, 0x8, 0x8, 0x8, // F0..FF
+                0x0, 0x1, 0x2, 0x3, 0x5, 0x8, 0x7, 0x1, 0x1, 0x1, 0x4, 0x6, 0x1, 0x1, 0x1, 0x1, // s0..s0
+                1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 1, 1, // s1..s2
+                1, 2, 1, 1, 1, 1, 1, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, // s3..s4
+                1, 2, 1, 1, 1, 1, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 3, 1, 1, 1, 1, 1, 1, // s5..s6
+                1, 3, 1, 1, 1, 1, 1, 3, 1, 3, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 // s7..s8
+            }
+        };
+
+        const uint8_t type = utf8d[byte];
+
+        codep = (state != UTF8_ACCEPT)
+                ? (byte & 0x3fu) | (codep << 6)
+                : static_cast<uint32_t>(0xff >> type) & (byte);
+
+        state = utf8d[256u + state * 16u + type];
+        return state;
+    }
+
   private:
     /// the output of the serializer
     output_adapter_t<char> o = nullptr;
@@ -6797,13 +10326,27 @@ class serializer
     /// the locale's decimal point character
     const char decimal_point = '\0';
 
+    /// string buffer
+    std::array<char, 512> string_buffer{{}};
+
     /// the indentation character
     const char indent_char;
-
     /// the indentation string
     string_t indent_string;
 };
+}
+}
 
+// #include <nlohmann/detail/json_ref.hpp>
+
+
+#include <initializer_list>
+#include <utility>
+
+namespace nlohmann
+{
+namespace detail
+{
 template<typename BasicJsonType>
 class json_ref
 {
@@ -6811,27 +10354,20 @@ class json_ref
     using value_type = BasicJsonType;
 
     json_ref(value_type&& value)
-        : owned_value(std::move(value)),
-          value_ref(&owned_value),
-          is_rvalue(true)
+        : owned_value(std::move(value)), value_ref(&owned_value), is_rvalue(true)
     {}
 
     json_ref(const value_type& value)
-        : value_ref(const_cast<value_type*>(&value)),
-          is_rvalue(false)
+        : value_ref(const_cast<value_type*>(&value)), is_rvalue(false)
     {}
 
     json_ref(std::initializer_list<json_ref> init)
-        : owned_value(init),
-          value_ref(&owned_value),
-          is_rvalue(true)
+        : owned_value(init), value_ref(&owned_value), is_rvalue(true)
     {}
 
-    template <class... Args>
-    json_ref(Args... args)
-        : owned_value(std::forward<Args>(args)...),
-          value_ref(&owned_value),
-          is_rvalue(true)
+    template<class... Args>
+    json_ref(Args&& ... args)
+        : owned_value(std::forward<Args>(args)...), value_ref(&owned_value), is_rvalue(true)
     {}
 
     // class should be movable only
@@ -6863,74 +10399,30 @@ class json_ref
     value_type* value_ref = nullptr;
     const bool is_rvalue;
 };
-
-} // namespace detail
-
-/// namespace to hold default `to_json` / `from_json` functions
-namespace
-{
-constexpr const auto& to_json = detail::static_const<detail::to_json_fn>::value;
-constexpr const auto& from_json = detail::static_const<detail::from_json_fn>::value;
+}
 }
 
+// #include <nlohmann/detail/json_pointer.hpp>
 
-/*!
-@brief default JSONSerializer template argument
 
-This serializer ignores the template arguments and uses ADL
-([argument-dependent lookup](http://en.cppreference.com/w/cpp/language/adl))
-for serialization.
-*/
-template<typename, typename>
-struct adl_serializer
+#include <cassert> // assert
+#include <numeric> // accumulate
+#include <string> // string
+#include <vector> // vector
+
+// #include <nlohmann/detail/macro_scope.hpp>
+
+// #include <nlohmann/detail/exceptions.hpp>
+
+// #include <nlohmann/detail/value_t.hpp>
+
+
+namespace nlohmann
 {
-    /*!
-    @brief convert a JSON value to any value type
-
-    This function is usually called by the `get()` function of the
-    @ref basic_json class (either explicit or via conversion operators).
-
-    @param[in] j         JSON value to read from
-    @param[in,out] val  value to write to
-    */
-    template<typename BasicJsonType, typename ValueType>
-    static void from_json(BasicJsonType&& j, ValueType& val) noexcept(
-        noexcept(::nlohmann::from_json(std::forward<BasicJsonType>(j), val)))
-    {
-        ::nlohmann::from_json(std::forward<BasicJsonType>(j), val);
-    }
-
-    /*!
-    @brief convert any value type to a JSON value
-
-    This function is usually called by the constructors of the @ref basic_json
-    class.
-
-    @param[in,out] j  JSON value to write to
-    @param[in] val     value to read from
-    */
-    template<typename BasicJsonType, typename ValueType>
-    static void to_json(BasicJsonType& j, ValueType&& val) noexcept(
-        noexcept(::nlohmann::to_json(j, std::forward<ValueType>(val))))
-    {
-        ::nlohmann::to_json(j, std::forward<ValueType>(val));
-    }
-};
-
-/*!
-@brief JSON Pointer
-
-A JSON pointer defines a string syntax for identifying a specific value
-within a JSON document. It can be used with functions `at` and
-`operator[]`. Furthermore, JSON pointers are the base for JSON patches.
-
-@sa [RFC 6901](https://tools.ietf.org/html/rfc6901)
-
-@since version 2.0.0
-*/
+template<typename BasicJsonType>
 class json_pointer
 {
-    /// allow basic_json to access private members
+    // allow basic_json to access private members
     NLOHMANN_BASIC_JSON_TPL_DECLARATION
     friend class basic_json;
 
@@ -6944,19 +10436,21 @@ class json_pointer
     @param[in] s  string representing the JSON pointer; if omitted, the empty
                   string is assumed which references the whole JSON value
 
-    @throw parse_error.107 if the given JSON pointer @a s is nonempty and
-    does not begin with a slash (`/`); see example below
+    @throw parse_error.107 if the given JSON pointer @a s is nonempty and does
+                           not begin with a slash (`/`); see example below
 
-    @throw parse_error.108 if a tilde (`~`) in the given JSON pointer @a s
-    is not followed by `0` (representing `~`) or `1` (representing `/`);
-    see example below
+    @throw parse_error.108 if a tilde (`~`) in the given JSON pointer @a s is
+    not followed by `0` (representing `~`) or `1` (representing `/`); see
+    example below
 
-    @liveexample{The example shows the construction several valid JSON
-    pointers as well as the exceptional behavior.,json_pointer}
+    @liveexample{The example shows the construction several valid JSON pointers
+    as well as the exceptional behavior.,json_pointer}
 
     @since version 2.0.0
     */
-    explicit json_pointer(const std::string& s = "") : reference_tokens(split(s)) {}
+    explicit json_pointer(const std::string& s = "")
+        : reference_tokens(split(s))
+    {}
 
     /*!
     @brief return a string representation of the JSON pointer
@@ -6989,6 +10483,27 @@ class json_pointer
         return to_string();
     }
 
+    /*!
+    @param[in] s  reference token to be converted into an array index
+
+    @return integer representation of @a s
+
+    @throw out_of_range.404 if string @a s could not be converted to an integer
+    */
+    static int array_index(const std::string& s)
+    {
+        std::size_t processed_chars = 0;
+        const int res = std::stoi(s, &processed_chars);
+
+        // check if the string was completely read
+        if (JSON_UNLIKELY(processed_chars != s.size()))
+        {
+            JSON_THROW(detail::out_of_range::create(404, "unresolved reference token '" + s + "'"));
+        }
+
+        return res;
+    }
+
   private:
     /*!
     @brief remove and return last reference pointer
@@ -7024,7 +10539,6 @@ class json_pointer
         return result;
     }
 
-
     /*!
     @brief create and return a reference to the pointed to value
 
@@ -7033,8 +10547,66 @@ class json_pointer
     @throw parse_error.109 if array index is not a number
     @throw type_error.313 if value cannot be unflattened
     */
-    NLOHMANN_BASIC_JSON_TPL_DECLARATION
-    NLOHMANN_BASIC_JSON_TPL& get_and_create(NLOHMANN_BASIC_JSON_TPL& j) const;
+    BasicJsonType& get_and_create(BasicJsonType& j) const
+    {
+        using size_type = typename BasicJsonType::size_type;
+        auto result = &j;
+
+        // in case no reference tokens exist, return a reference to the JSON value
+        // j which will be overwritten by a primitive value
+        for (const auto& reference_token : reference_tokens)
+        {
+            switch (result->m_type)
+            {
+                case detail::value_t::null:
+                {
+                    if (reference_token == "0")
+                    {
+                        // start a new array if reference token is 0
+                        result = &result->operator[](0);
+                    }
+                    else
+                    {
+                        // start a new object otherwise
+                        result = &result->operator[](reference_token);
+                    }
+                    break;
+                }
+
+                case detail::value_t::object:
+                {
+                    // create an entry in the object
+                    result = &result->operator[](reference_token);
+                    break;
+                }
+
+                case detail::value_t::array:
+                {
+                    // create an entry in the array
+                    JSON_TRY
+                    {
+                        result = &result->operator[](static_cast<size_type>(array_index(reference_token)));
+                    }
+                    JSON_CATCH(std::invalid_argument&)
+                    {
+                        JSON_THROW(detail::parse_error::create(109, 0, "array index '" + reference_token + "' is not a number"));
+                    }
+                    break;
+                }
+
+                /*
+                The following code is only reached if there exists a reference
+                token _and_ the current value is primitive. In this case, we have
+                an error situation, because primitive values may only occur as
+                single value; that is, with an empty list of reference tokens.
+                */
+                default:
+                    JSON_THROW(detail::type_error::create(313, "invalid value to unflatten"));
+            }
+        }
+
+        return *result;
+    }
 
     /*!
     @brief return a reference to the pointed to value
@@ -7055,8 +10627,75 @@ class json_pointer
     @throw parse_error.109   if an array index was not a number
     @throw out_of_range.404  if the JSON pointer can not be resolved
     */
-    NLOHMANN_BASIC_JSON_TPL_DECLARATION
-    NLOHMANN_BASIC_JSON_TPL& get_unchecked(NLOHMANN_BASIC_JSON_TPL* ptr) const;
+    BasicJsonType& get_unchecked(BasicJsonType* ptr) const
+    {
+        using size_type = typename BasicJsonType::size_type;
+        for (const auto& reference_token : reference_tokens)
+        {
+            // convert null values to arrays or objects before continuing
+            if (ptr->m_type == detail::value_t::null)
+            {
+                // check if reference token is a number
+                const bool nums =
+                    std::all_of(reference_token.begin(), reference_token.end(),
+                                [](const char x)
+                {
+                    return (x >= '0' and x <= '9');
+                });
+
+                // change value to array for numbers or "-" or to object otherwise
+                *ptr = (nums or reference_token == "-")
+                       ? detail::value_t::array
+                       : detail::value_t::object;
+            }
+
+            switch (ptr->m_type)
+            {
+                case detail::value_t::object:
+                {
+                    // use unchecked object access
+                    ptr = &ptr->operator[](reference_token);
+                    break;
+                }
+
+                case detail::value_t::array:
+                {
+                    // error condition (cf. RFC 6901, Sect. 4)
+                    if (JSON_UNLIKELY(reference_token.size() > 1 and reference_token[0] == '0'))
+                    {
+                        JSON_THROW(detail::parse_error::create(106, 0,
+                                                               "array index '" + reference_token +
+                                                               "' must not begin with '0'"));
+                    }
+
+                    if (reference_token == "-")
+                    {
+                        // explicitly treat "-" as index beyond the end
+                        ptr = &ptr->operator[](ptr->m_value.array->size());
+                    }
+                    else
+                    {
+                        // convert array index to number; unchecked access
+                        JSON_TRY
+                        {
+                            ptr = &ptr->operator[](
+                                static_cast<size_type>(array_index(reference_token)));
+                        }
+                        JSON_CATCH(std::invalid_argument&)
+                        {
+                            JSON_THROW(detail::parse_error::create(109, 0, "array index '" + reference_token + "' is not a number"));
+                        }
+                    }
+                    break;
+                }
+
+                default:
+                    JSON_THROW(detail::out_of_range::create(404, "unresolved reference token '" + reference_token + "'"));
+            }
+        }
+
+        return *ptr;
+    }
 
     /*!
     @throw parse_error.106   if an array index begins with '0'
@@ -7064,8 +10703,57 @@ class json_pointer
     @throw out_of_range.402  if the array index '-' is used
     @throw out_of_range.404  if the JSON pointer can not be resolved
     */
-    NLOHMANN_BASIC_JSON_TPL_DECLARATION
-    NLOHMANN_BASIC_JSON_TPL& get_checked(NLOHMANN_BASIC_JSON_TPL* ptr) const;
+    BasicJsonType& get_checked(BasicJsonType* ptr) const
+    {
+        using size_type = typename BasicJsonType::size_type;
+        for (const auto& reference_token : reference_tokens)
+        {
+            switch (ptr->m_type)
+            {
+                case detail::value_t::object:
+                {
+                    // note: at performs range check
+                    ptr = &ptr->at(reference_token);
+                    break;
+                }
+
+                case detail::value_t::array:
+                {
+                    if (JSON_UNLIKELY(reference_token == "-"))
+                    {
+                        // "-" always fails the range check
+                        JSON_THROW(detail::out_of_range::create(402,
+                                                                "array index '-' (" + std::to_string(ptr->m_value.array->size()) +
+                                                                ") is out of range"));
+                    }
+
+                    // error condition (cf. RFC 6901, Sect. 4)
+                    if (JSON_UNLIKELY(reference_token.size() > 1 and reference_token[0] == '0'))
+                    {
+                        JSON_THROW(detail::parse_error::create(106, 0,
+                                                               "array index '" + reference_token +
+                                                               "' must not begin with '0'"));
+                    }
+
+                    // note: at performs range check
+                    JSON_TRY
+                    {
+                        ptr = &ptr->at(static_cast<size_type>(array_index(reference_token)));
+                    }
+                    JSON_CATCH(std::invalid_argument&)
+                    {
+                        JSON_THROW(detail::parse_error::create(109, 0, "array index '" + reference_token + "' is not a number"));
+                    }
+                    break;
+                }
+
+                default:
+                    JSON_THROW(detail::out_of_range::create(404, "unresolved reference token '" + reference_token + "'"));
+            }
+        }
+
+        return *ptr;
+    }
 
     /*!
     @brief return a const reference to the pointed to value
@@ -7080,8 +10768,58 @@ class json_pointer
     @throw out_of_range.402  if the array index '-' is used
     @throw out_of_range.404  if the JSON pointer can not be resolved
     */
-    NLOHMANN_BASIC_JSON_TPL_DECLARATION
-    const NLOHMANN_BASIC_JSON_TPL& get_unchecked(const NLOHMANN_BASIC_JSON_TPL* ptr) const;
+    const BasicJsonType& get_unchecked(const BasicJsonType* ptr) const
+    {
+        using size_type = typename BasicJsonType::size_type;
+        for (const auto& reference_token : reference_tokens)
+        {
+            switch (ptr->m_type)
+            {
+                case detail::value_t::object:
+                {
+                    // use unchecked object access
+                    ptr = &ptr->operator[](reference_token);
+                    break;
+                }
+
+                case detail::value_t::array:
+                {
+                    if (JSON_UNLIKELY(reference_token == "-"))
+                    {
+                        // "-" cannot be used for const access
+                        JSON_THROW(detail::out_of_range::create(402,
+                                                                "array index '-' (" + std::to_string(ptr->m_value.array->size()) +
+                                                                ") is out of range"));
+                    }
+
+                    // error condition (cf. RFC 6901, Sect. 4)
+                    if (JSON_UNLIKELY(reference_token.size() > 1 and reference_token[0] == '0'))
+                    {
+                        JSON_THROW(detail::parse_error::create(106, 0,
+                                                               "array index '" + reference_token +
+                                                               "' must not begin with '0'"));
+                    }
+
+                    // use unchecked array access
+                    JSON_TRY
+                    {
+                        ptr = &ptr->operator[](
+                            static_cast<size_type>(array_index(reference_token)));
+                    }
+                    JSON_CATCH(std::invalid_argument&)
+                    {
+                        JSON_THROW(detail::parse_error::create(109, 0, "array index '" + reference_token + "' is not a number"));
+                    }
+                    break;
+                }
+
+                default:
+                    JSON_THROW(detail::out_of_range::create(404, "unresolved reference token '" + reference_token + "'"));
+            }
+        }
+
+        return *ptr;
+    }
 
     /*!
     @throw parse_error.106   if an array index begins with '0'
@@ -7089,8 +10827,57 @@ class json_pointer
     @throw out_of_range.402  if the array index '-' is used
     @throw out_of_range.404  if the JSON pointer can not be resolved
     */
-    NLOHMANN_BASIC_JSON_TPL_DECLARATION
-    const NLOHMANN_BASIC_JSON_TPL& get_checked(const NLOHMANN_BASIC_JSON_TPL* ptr) const;
+    const BasicJsonType& get_checked(const BasicJsonType* ptr) const
+    {
+        using size_type = typename BasicJsonType::size_type;
+        for (const auto& reference_token : reference_tokens)
+        {
+            switch (ptr->m_type)
+            {
+                case detail::value_t::object:
+                {
+                    // note: at performs range check
+                    ptr = &ptr->at(reference_token);
+                    break;
+                }
+
+                case detail::value_t::array:
+                {
+                    if (JSON_UNLIKELY(reference_token == "-"))
+                    {
+                        // "-" always fails the range check
+                        JSON_THROW(detail::out_of_range::create(402,
+                                                                "array index '-' (" + std::to_string(ptr->m_value.array->size()) +
+                                                                ") is out of range"));
+                    }
+
+                    // error condition (cf. RFC 6901, Sect. 4)
+                    if (JSON_UNLIKELY(reference_token.size() > 1 and reference_token[0] == '0'))
+                    {
+                        JSON_THROW(detail::parse_error::create(106, 0,
+                                                               "array index '" + reference_token +
+                                                               "' must not begin with '0'"));
+                    }
+
+                    // note: at performs range check
+                    JSON_TRY
+                    {
+                        ptr = &ptr->at(static_cast<size_type>(array_index(reference_token)));
+                    }
+                    JSON_CATCH(std::invalid_argument&)
+                    {
+                        JSON_THROW(detail::parse_error::create(109, 0, "array index '" + reference_token + "' is not a number"));
+                    }
+                    break;
+                }
+
+                default:
+                    JSON_THROW(detail::out_of_range::create(404, "unresolved reference token '" + reference_token + "'"));
+            }
+        }
+
+        return *ptr;
+    }
 
     /*!
     @brief split the string input to reference tokens
@@ -7209,10 +10996,57 @@ class json_pointer
 
     @note Empty objects or arrays are flattened to `null`.
     */
-    NLOHMANN_BASIC_JSON_TPL_DECLARATION
     static void flatten(const std::string& reference_string,
-                        const NLOHMANN_BASIC_JSON_TPL& value,
-                        NLOHMANN_BASIC_JSON_TPL& result);
+                        const BasicJsonType& value,
+                        BasicJsonType& result)
+    {
+        switch (value.m_type)
+        {
+            case detail::value_t::array:
+            {
+                if (value.m_value.array->empty())
+                {
+                    // flatten empty array as null
+                    result[reference_string] = nullptr;
+                }
+                else
+                {
+                    // iterate array and use index as reference string
+                    for (std::size_t i = 0; i < value.m_value.array->size(); ++i)
+                    {
+                        flatten(reference_string + "/" + std::to_string(i),
+                                value.m_value.array->operator[](i), result);
+                    }
+                }
+                break;
+            }
+
+            case detail::value_t::object:
+            {
+                if (value.m_value.object->empty())
+                {
+                    // flatten empty object as null
+                    result[reference_string] = nullptr;
+                }
+                else
+                {
+                    // iterate object and use keys as reference string
+                    for (const auto& element : *value.m_value.object)
+                    {
+                        flatten(reference_string + "/" + escape(element.first), element.second, result);
+                    }
+                }
+                break;
+            }
+
+            default:
+            {
+                // add primitive value with its reference string
+                result[reference_string] = value;
+                break;
+            }
+        }
+    }
 
     /*!
     @param[in] value  flattened JSON
@@ -7224,19 +11058,112 @@ class json_pointer
     @throw type_error.315  if object values are not primitive
     @throw type_error.313  if value cannot be unflattened
     */
-    NLOHMANN_BASIC_JSON_TPL_DECLARATION
-    static NLOHMANN_BASIC_JSON_TPL
-    unflatten(const NLOHMANN_BASIC_JSON_TPL& value);
+    static BasicJsonType
+    unflatten(const BasicJsonType& value)
+    {
+        if (JSON_UNLIKELY(not value.is_object()))
+        {
+            JSON_THROW(detail::type_error::create(314, "only objects can be unflattened"));
+        }
+
+        BasicJsonType result;
+
+        // iterate the JSON object values
+        for (const auto& element : *value.m_value.object)
+        {
+            if (JSON_UNLIKELY(not element.second.is_primitive()))
+            {
+                JSON_THROW(detail::type_error::create(315, "values in object must be primitive"));
+            }
+
+            // assign value to reference pointed to by JSON pointer; Note that if
+            // the JSON pointer is "" (i.e., points to the whole value), function
+            // get_and_create returns a reference to result itself. An assignment
+            // will then create a primitive value.
+            json_pointer(element.first).get_and_create(result) = element.second;
+        }
+
+        return result;
+    }
 
     friend bool operator==(json_pointer const& lhs,
-                           json_pointer const& rhs) noexcept;
+                           json_pointer const& rhs) noexcept
+    {
+        return (lhs.reference_tokens == rhs.reference_tokens);
+    }
 
     friend bool operator!=(json_pointer const& lhs,
-                           json_pointer const& rhs) noexcept;
+                           json_pointer const& rhs) noexcept
+    {
+        return not (lhs == rhs);
+    }
 
     /// the reference tokens
     std::vector<std::string> reference_tokens;
 };
+}
+
+// #include <nlohmann/adl_serializer.hpp>
+
+
+#include <utility>
+
+// #include <nlohmann/detail/conversions/from_json.hpp>
+
+// #include <nlohmann/detail/conversions/to_json.hpp>
+
+
+namespace nlohmann
+{
+template<typename, typename>
+struct adl_serializer
+{
+    /*!
+    @brief convert a JSON value to any value type
+
+    This function is usually called by the `get()` function of the
+    @ref basic_json class (either explicit or via conversion operators).
+
+    @param[in] j         JSON value to read from
+    @param[in,out] val  value to write to
+    */
+    template<typename BasicJsonType, typename ValueType>
+    static auto from_json(BasicJsonType&& j, ValueType& val) noexcept(
+        noexcept(::nlohmann::from_json(std::forward<BasicJsonType>(j), val))) -> decltype(
+            ::nlohmann::from_json(std::forward<BasicJsonType>(j), val), void()
+        )
+    {
+        ::nlohmann::from_json(std::forward<BasicJsonType>(j), val);
+    }
+
+    /*!
+    @brief convert any value type to a JSON value
+
+    This function is usually called by the constructors of the @ref basic_json
+    class.
+
+    @param[in,out] j  JSON value to write to
+    @param[in] val     value to read from
+    */
+    template <typename BasicJsonType, typename ValueType>
+    static auto to_json(BasicJsonType& j, ValueType&& val) noexcept(
+        noexcept(::nlohmann::to_json(j, std::forward<ValueType>(val))))
+    -> decltype(::nlohmann::to_json(j, std::forward<ValueType>(val)),
+                void())
+    {
+        ::nlohmann::to_json(j, std::forward<ValueType>(val));
+    }
+};
+}
+
+
+/*!
+@brief namespace for Niels Lohmann
+@see https://github.com/nlohmann
+@since version 1.0.0
+*/
+namespace nlohmann
+{
 
 /*!
 @brief a class to store JSON values
@@ -7262,42 +11189,42 @@ and `from_json()` (@ref adl_serializer by default)
 
 @requirement The class satisfies the following concept requirements:
 - Basic
- - [DefaultConstructible](http://en.cppreference.com/w/cpp/concept/DefaultConstructible):
+ - [DefaultConstructible](https://en.cppreference.com/w/cpp/named_req/DefaultConstructible):
    JSON values can be default constructed. The result will be a JSON null
    value.
- - [MoveConstructible](http://en.cppreference.com/w/cpp/concept/MoveConstructible):
+ - [MoveConstructible](https://en.cppreference.com/w/cpp/named_req/MoveConstructible):
    A JSON value can be constructed from an rvalue argument.
- - [CopyConstructible](http://en.cppreference.com/w/cpp/concept/CopyConstructible):
+ - [CopyConstructible](https://en.cppreference.com/w/cpp/named_req/CopyConstructible):
    A JSON value can be copy-constructed from an lvalue expression.
- - [MoveAssignable](http://en.cppreference.com/w/cpp/concept/MoveAssignable):
+ - [MoveAssignable](https://en.cppreference.com/w/cpp/named_req/MoveAssignable):
    A JSON value van be assigned from an rvalue argument.
- - [CopyAssignable](http://en.cppreference.com/w/cpp/concept/CopyAssignable):
+ - [CopyAssignable](https://en.cppreference.com/w/cpp/named_req/CopyAssignable):
    A JSON value can be copy-assigned from an lvalue expression.
- - [Destructible](http://en.cppreference.com/w/cpp/concept/Destructible):
+ - [Destructible](https://en.cppreference.com/w/cpp/named_req/Destructible):
    JSON values can be destructed.
 - Layout
- - [StandardLayoutType](http://en.cppreference.com/w/cpp/concept/StandardLayoutType):
+ - [StandardLayoutType](https://en.cppreference.com/w/cpp/named_req/StandardLayoutType):
    JSON values have
-   [standard layout](http://en.cppreference.com/w/cpp/language/data_members#Standard_layout):
+   [standard layout](https://en.cppreference.com/w/cpp/language/data_members#Standard_layout):
    All non-static data members are private and standard layout types, the
    class has no virtual functions or (virtual) base classes.
 - Library-wide
- - [EqualityComparable](http://en.cppreference.com/w/cpp/concept/EqualityComparable):
+ - [EqualityComparable](https://en.cppreference.com/w/cpp/named_req/EqualityComparable):
    JSON values can be compared with `==`, see @ref
    operator==(const_reference,const_reference).
- - [LessThanComparable](http://en.cppreference.com/w/cpp/concept/LessThanComparable):
+ - [LessThanComparable](https://en.cppreference.com/w/cpp/named_req/LessThanComparable):
    JSON values can be compared with `<`, see @ref
    operator<(const_reference,const_reference).
- - [Swappable](http://en.cppreference.com/w/cpp/concept/Swappable):
+ - [Swappable](https://en.cppreference.com/w/cpp/named_req/Swappable):
    Any JSON lvalue or rvalue of can be swapped with any lvalue or rvalue of
    other compatible types, using unqualified function call @ref swap().
- - [NullablePointer](http://en.cppreference.com/w/cpp/concept/NullablePointer):
+ - [NullablePointer](https://en.cppreference.com/w/cpp/named_req/NullablePointer):
    JSON values can be compared against `std::nullptr_t` objects which are used
    to model the `null` value.
 - Container
- - [Container](http://en.cppreference.com/w/cpp/concept/Container):
+ - [Container](https://en.cppreference.com/w/cpp/named_req/Container):
    JSON values can be used like STL containers and provide iterator access.
- - [ReversibleContainer](http://en.cppreference.com/w/cpp/concept/ReversibleContainer);
+ - [ReversibleContainer](https://en.cppreference.com/w/cpp/named_req/ReversibleContainer);
    JSON values can be used like STL containers and provide reverse iterator
    access.
 
@@ -7324,15 +11251,19 @@ class basic_json
 {
   private:
     template<detail::value_t> friend struct detail::external_constructor;
-    friend ::nlohmann::json_pointer;
+    friend ::nlohmann::json_pointer<basic_json>;
     friend ::nlohmann::detail::parser<basic_json>;
     friend ::nlohmann::detail::serializer<basic_json>;
     template<typename BasicJsonType>
     friend class ::nlohmann::detail::iter_impl;
     template<typename BasicJsonType, typename CharType>
     friend class ::nlohmann::detail::binary_writer;
-    template<typename BasicJsonType>
+    template<typename BasicJsonType, typename SAX>
     friend class ::nlohmann::detail::binary_reader;
+    template<typename BasicJsonType>
+    friend class ::nlohmann::detail::json_sax_dom_parser;
+    template<typename BasicJsonType>
+    friend class ::nlohmann::detail::json_sax_dom_callback_parser;
 
     /// workaround type for MSVC
     using basic_json_t = NLOHMANN_BASIC_JSON_TPL;
@@ -7360,13 +11291,17 @@ class basic_json
 
   public:
     using value_t = detail::value_t;
-    // forward declarations
-    using json_pointer = ::nlohmann::json_pointer;
+    /// JSON Pointer, see @ref nlohmann::json_pointer
+    using json_pointer = ::nlohmann::json_pointer<basic_json>;
     template<typename T, typename SFINAE>
     using json_serializer = JSONSerializer<T, SFINAE>;
-
+    /// helper type for initializer lists of basic_json values
     using initializer_list_t = std::initializer_list<detail::json_ref<basic_json>>;
 
+    using input_format_t = detail::input_format_t;
+    /// SAX interface type, see @ref nlohmann::json_sax
+    using json_sax_t = json_sax<basic_json>;
+
     ////////////////
     // exceptions //
     ////////////////
@@ -7474,10 +11409,13 @@ class basic_json
         result["copyright"] = "(C) 2013-2017 Niels Lohmann";
         result["name"] = "JSON for Modern C++";
         result["url"] = "https://github.com/nlohmann/json";
-        result["version"] =
-        {
-            {"string", "2.1.1"}, {"major", 2}, {"minor", 1}, {"patch", 1}
-        };
+        result["version"]["string"] =
+            std::to_string(NLOHMANN_JSON_VERSION_MAJOR) + "." +
+            std::to_string(NLOHMANN_JSON_VERSION_MINOR) + "." +
+            std::to_string(NLOHMANN_JSON_VERSION_PATCH);
+        result["version"]["major"] = NLOHMANN_JSON_VERSION_MAJOR;
+        result["version"]["minor"] = NLOHMANN_JSON_VERSION_MINOR;
+        result["version"]["patch"] = NLOHMANN_JSON_VERSION_PATCH;
 
 #ifdef _WIN32
         result["platform"] = "win32";
@@ -7529,6 +11467,14 @@ class basic_json
     /// the template arguments passed to class @ref basic_json.
     /// @{
 
+#if defined(JSON_HAS_CPP_14)
+    // Use transparent comparator if possible, combined with perfect forwarding
+    // on find() and count() calls prevents unnecessary string construction.
+    using object_comparator_t = std::less<>;
+#else
+    using object_comparator_t = std::less<StringType>;
+#endif
+
     /*!
     @brief a type for an object
 
@@ -7571,10 +11517,10 @@ class basic_json
     - When all names are unique, objects will be interoperable in the sense
       that all software implementations receiving that object will agree on
       the name-value mappings.
-    - When the names within an object are not unique, later stored name/value
-      pairs overwrite previously stored name/value pairs, leaving the used
-      names unique. For instance, `{"key": 1}` and `{"key": 2, "key": 1}` will
-      be treated as equal and both stored as `{"key": 1}`.
+    - When the names within an object are not unique, it is unspecified which
+      one of the values for a given key will be chosen. For instance,
+      `{"key": 2, "key": 1}` could be equal to either `{"key": 1}` or
+      `{"key": 2}`.
     - Internally, name/value pairs are stored in lexicographical order of the
       names. Objects will also be serialized (see @ref dump) in this order.
       For instance, `{"b": 1, "a": 2}` and `{"a": 2, "b": 1}` will be stored
@@ -7614,7 +11560,7 @@ class basic_json
     */
     using object_t = ObjectType<StringType,
           basic_json,
-          std::less<StringType>,
+          object_comparator_t,
           AllocatorType<std::pair<const StringType,
           basic_json>>>;
 
@@ -7963,12 +11909,14 @@ class basic_json
     static T* create(Args&& ... args)
     {
         AllocatorType<T> alloc;
+        using AllocatorTraits = std::allocator_traits<AllocatorType<T>>;
+
         auto deleter = [&](T * object)
         {
-            alloc.deallocate(object, 1);
+            AllocatorTraits::deallocate(alloc, object, 1);
         };
-        std::unique_ptr<T, decltype(deleter)> object(alloc.allocate(1), deleter);
-        alloc.construct(object.get(), std::forward<Args>(args)...);
+        std::unique_ptr<T, decltype(deleter)> object(AllocatorTraits::allocate(alloc, 1), deleter);
+        AllocatorTraits::construct(alloc, object.get(), std::forward<Args>(args)...);
         assert(object != nullptr);
         return object.release();
     }
@@ -8077,14 +12025,16 @@ class basic_json
 
                 case value_t::null:
                 {
+                    object = nullptr;  // silence warning, see #821
                     break;
                 }
 
                 default:
                 {
+                    object = nullptr;  // silence warning, see #821
                     if (JSON_UNLIKELY(t == value_t::null))
                     {
-                        JSON_THROW(other_error::create(500, "961c151d2e87f2686a955a9be24d316f1362bf21 2.1.1")); // LCOV_EXCL_LINE
+                        JSON_THROW(other_error::create(500, "961c151d2e87f2686a955a9be24d316f1362bf21 3.2.0")); // LCOV_EXCL_LINE
                     }
                     break;
                 }
@@ -8127,31 +12077,31 @@ class basic_json
             array = create<array_t>(std::move(value));
         }
 
-        void destroy(value_t t)
+        void destroy(value_t t) noexcept
         {
             switch (t)
             {
                 case value_t::object:
                 {
                     AllocatorType<object_t> alloc;
-                    alloc.destroy(object);
-                    alloc.deallocate(object, 1);
+                    std::allocator_traits<decltype(alloc)>::destroy(alloc, object);
+                    std::allocator_traits<decltype(alloc)>::deallocate(alloc, object, 1);
                     break;
                 }
 
                 case value_t::array:
                 {
                     AllocatorType<array_t> alloc;
-                    alloc.destroy(array);
-                    alloc.deallocate(array, 1);
+                    std::allocator_traits<decltype(alloc)>::destroy(alloc, array);
+                    std::allocator_traits<decltype(alloc)>::deallocate(alloc, array, 1);
                     break;
                 }
 
                 case value_t::string:
                 {
                     AllocatorType<string_t> alloc;
-                    alloc.destroy(string);
-                    alloc.deallocate(string, 1);
+                    std::allocator_traits<decltype(alloc)>::destroy(alloc, string);
+                    std::allocator_traits<decltype(alloc)>::deallocate(alloc, string, 1);
                     break;
                 }
 
@@ -8172,7 +12122,7 @@ class basic_json
     value is changed, because the invariant expresses a relationship between
     @a m_type and @a m_value.
     */
-    void assert_invariant() const
+    void assert_invariant() const noexcept
     {
         assert(m_type != value_t::object or m_value.object != nullptr);
         assert(m_type != value_t::array or m_value.array != nullptr);
@@ -8184,19 +12134,32 @@ class basic_json
     // JSON parser callback //
     //////////////////////////
 
+    /*!
+    @brief parser event types
+
+    The parser callback distinguishes the following events:
+    - `object_start`: the parser read `{` and started to process a JSON object
+    - `key`: the parser read a key of a value in an object
+    - `object_end`: the parser read `}` and finished processing a JSON object
+    - `array_start`: the parser read `[` and started to process a JSON array
+    - `array_end`: the parser read `]` and finished processing a JSON array
+    - `value`: the parser finished reading a JSON value
+
+    @image html callback_events.png "Example when certain parse events are triggered"
+
+    @sa @ref parser_callback_t for more information and examples
+    */
     using parse_event_t = typename parser::parse_event_t;
 
     /*!
     @brief per-element parser callback type
 
     With a parser callback function, the result of parsing a JSON text can be
-    influenced. When passed to @ref parse(std::istream&, const
-    parser_callback_t) or @ref parse(const CharT, const parser_callback_t),
-    it is called on certain events (passed as @ref parse_event_t via parameter
-    @a event) with a set recursion depth @a depth and context JSON value
-    @a parsed. The return value of the callback function is a boolean
-    indicating whether the element that emitted the callback shall be kept or
-    not.
+    influenced. When passed to @ref parse, it is called on certain events
+    (passed as @ref parse_event_t via parameter @a event) with a set recursion
+    depth @a depth and context JSON value @a parsed. The return value of the
+    callback function is a boolean indicating whether the element that emitted
+    the callback shall be kept or not.
 
     We distinguish six scenarios (determined by the event type) in which the
     callback function can be called. The following table describes the values
@@ -8233,14 +12196,12 @@ class basic_json
     should be kept (`true`) or not (`false`). In the latter case, it is either
     skipped completely or replaced by an empty discarded object.
 
-    @sa @ref parse(std::istream&, parser_callback_t) or
-    @ref parse(const CharT, const parser_callback_t) for examples
+    @sa @ref parse for examples
 
     @since version 1.0.0
     */
     using parser_callback_t = typename parser::parser_callback_t;
 
-
     //////////////////
     // constructors //
     //////////////////
@@ -8313,7 +12274,7 @@ class basic_json
     @brief create a JSON value
 
     This is a "catch all" constructor for all compatible JSON types; that is,
-    types for which a `to_json()` method exsits. The constructor forwards the
+    types for which a `to_json()` method exists. The constructor forwards the
     parameter @a val to that method (to `json_serializer<U>::to_json` method
     with `U = uncvref_t<CompatibleType>`, to be exact).
 
@@ -8342,6 +12303,7 @@ class basic_json
     - @a CompatibleType is not derived from `std::istream`,
     - @a CompatibleType is not @ref basic_json (to avoid hijacking copy/move
          constructors),
+    - @a CompatibleType is not a different @ref basic_json type (i.e. with different template arguments)
     - @a CompatibleType is not a @ref basic_json nested type (e.g.,
          @ref json_pointer, @ref iterator, etc ...)
     - @ref @ref json_serializer<U> has a
@@ -8365,20 +12327,90 @@ class basic_json
 
     @since version 2.1.0
     */
-    template<typename CompatibleType, typename U = detail::uncvref_t<CompatibleType>,
-             detail::enable_if_t<not std::is_base_of<std::istream, U>::value and
-                                 not std::is_same<U, basic_json_t>::value and
-                                 not detail::is_basic_json_nested_type<
-                                     basic_json_t, U>::value and
-                                 detail::has_to_json<basic_json, U>::value,
-                                 int> = 0>
-    basic_json(CompatibleType && val) noexcept(noexcept(JSONSerializer<U>::to_json(
-                std::declval<basic_json_t&>(), std::forward<CompatibleType>(val))))
+    template <typename CompatibleType,
+              typename U = detail::uncvref_t<CompatibleType>,
+              detail::enable_if_t<
+                  not detail::is_basic_json<U>::value and detail::is_compatible_type<basic_json_t, U>::value, int> = 0>
+    basic_json(CompatibleType && val) noexcept(noexcept(
+                JSONSerializer<U>::to_json(std::declval<basic_json_t&>(),
+                                           std::forward<CompatibleType>(val))))
     {
         JSONSerializer<U>::to_json(*this, std::forward<CompatibleType>(val));
         assert_invariant();
     }
 
+    /*!
+    @brief create a JSON value from an existing one
+
+    This is a constructor for existing @ref basic_json types.
+    It does not hijack copy/move constructors, since the parameter has different
+    template arguments than the current ones.
+
+    The constructor tries to convert the internal @ref m_value of the parameter.
+
+    @tparam BasicJsonType a type such that:
+    - @a BasicJsonType is a @ref basic_json type.
+    - @a BasicJsonType has different template arguments than @ref basic_json_t.
+
+    @param[in] val the @ref basic_json value to be converted.
+
+    @complexity Usually linear in the size of the passed @a val, also
+                depending on the implementation of the called `to_json()`
+                method.
+
+    @exceptionsafety Depends on the called constructor. For types directly
+    supported by the library (i.e., all types for which no `to_json()` function
+    was provided), strong guarantee holds: if an exception is thrown, there are
+    no changes to any JSON value.
+
+    @since version 3.2.0
+    */
+    template <typename BasicJsonType,
+              detail::enable_if_t<
+                  detail::is_basic_json<BasicJsonType>::value and not std::is_same<basic_json, BasicJsonType>::value, int> = 0>
+    basic_json(const BasicJsonType& val)
+    {
+        using other_boolean_t = typename BasicJsonType::boolean_t;
+        using other_number_float_t = typename BasicJsonType::number_float_t;
+        using other_number_integer_t = typename BasicJsonType::number_integer_t;
+        using other_number_unsigned_t = typename BasicJsonType::number_unsigned_t;
+        using other_string_t = typename BasicJsonType::string_t;
+        using other_object_t = typename BasicJsonType::object_t;
+        using other_array_t = typename BasicJsonType::array_t;
+
+        switch (val.type())
+        {
+            case value_t::boolean:
+                JSONSerializer<other_boolean_t>::to_json(*this, val.template get<other_boolean_t>());
+                break;
+            case value_t::number_float:
+                JSONSerializer<other_number_float_t>::to_json(*this, val.template get<other_number_float_t>());
+                break;
+            case value_t::number_integer:
+                JSONSerializer<other_number_integer_t>::to_json(*this, val.template get<other_number_integer_t>());
+                break;
+            case value_t::number_unsigned:
+                JSONSerializer<other_number_unsigned_t>::to_json(*this, val.template get<other_number_unsigned_t>());
+                break;
+            case value_t::string:
+                JSONSerializer<other_string_t>::to_json(*this, val.template get_ref<const other_string_t&>());
+                break;
+            case value_t::object:
+                JSONSerializer<other_object_t>::to_json(*this, val.template get_ref<const other_object_t&>());
+                break;
+            case value_t::array:
+                JSONSerializer<other_array_t>::to_json(*this, val.template get_ref<const other_array_t&>());
+                break;
+            case value_t::null:
+                *this = nullptr;
+                break;
+            case value_t::discarded:
+                m_type = value_t::discarded;
+                break;
+        }
+        assert_invariant();
+    }
+
     /*!
     @brief create a container (array or object) from an initializer list
 
@@ -8651,7 +12683,7 @@ class basic_json
     @warning A precondition is enforced with a runtime assertion that will
              result in calling `std::abort` if this precondition is not met.
              Assertions can be disabled by defining `NDEBUG` at compile time.
-             See http://en.cppreference.com/w/cpp/error/assert for more
+             See https://en.cppreference.com/w/cpp/error/assert for more
              information.
 
     @throw invalid_iterator.201 if iterators @a first and @a last are not
@@ -8791,7 +12823,7 @@ class basic_json
     changes to any JSON value.
 
     @requirement This function helps `basic_json` satisfying the
-    [Container](http://en.cppreference.com/w/cpp/concept/Container)
+    [Container](https://en.cppreference.com/w/cpp/named_req/Container)
     requirements:
     - The complexity is linear.
     - As postcondition, it holds: `other == basic_json(other)`.
@@ -8876,7 +12908,7 @@ class basic_json
     exceptions.
 
     @requirement This function helps `basic_json` satisfying the
-    [MoveConstructible](http://en.cppreference.com/w/cpp/concept/MoveConstructible)
+    [MoveConstructible](https://en.cppreference.com/w/cpp/named_req/MoveConstructible)
     requirements.
 
     @liveexample{The code below shows the move constructor explicitly called
@@ -8910,7 +12942,7 @@ class basic_json
     @complexity Linear.
 
     @requirement This function helps `basic_json` satisfying the
-    [Container](http://en.cppreference.com/w/cpp/concept/Container)
+    [Container](https://en.cppreference.com/w/cpp/named_req/Container)
     requirements:
     - The complexity is linear.
 
@@ -8947,14 +12979,14 @@ class basic_json
     @complexity Linear.
 
     @requirement This function helps `basic_json` satisfying the
-    [Container](http://en.cppreference.com/w/cpp/concept/Container)
+    [Container](https://en.cppreference.com/w/cpp/named_req/Container)
     requirements:
     - The complexity is linear.
     - All stored elements are destroyed and all memory is freed.
 
     @since version 1.0.0
     */
-    ~basic_json()
+    ~basic_json() noexcept
     {
         assert_invariant();
         m_value.destroy(m_type);
@@ -8985,11 +13017,14 @@ class basic_json
     @param[in] indent_char The character to use for indentation if @a indent is
     greater than `0`. The default is ` ` (space).
     @param[in] ensure_ascii If @a ensure_ascii is true, all non-ASCII characters
-    in the output are escaped with \uXXXX sequences, and the result consists
+    in the output are escaped with `\uXXXX` sequences, and the result consists
     of ASCII characters only.
 
     @return string containing the serialization of the JSON value
 
+    @throw type_error.316 if a string stored inside the JSON value is not
+                          UTF-8 encoded
+
     @complexity Linear.
 
     @exceptionsafety Strong guarantee: if an exception is thrown, there are no
@@ -9001,14 +13036,14 @@ class basic_json
 
     @see https://docs.python.org/2/library/json.html#json.dump
 
-    @since version 1.0.0; indentation character @a indent_char and option
-           @a ensure_ascii added in version 3.0.0
+    @since version 1.0.0; indentation character @a indent_char, option
+           @a ensure_ascii and exceptions added in version 3.0.0
     */
     string_t dump(const int indent = -1, const char indent_char = ' ',
                   const bool ensure_ascii = false) const
     {
         string_t result;
-        serializer s(detail::output_adapter<char>(result), indent_char);
+        serializer s(detail::output_adapter<char, string_t>(result), indent_char);
 
         if (indent >= 0)
         {
@@ -9036,7 +13071,7 @@ class basic_json
             string                    | value_t::string
             number (integer)          | value_t::number_integer
             number (unsigned integer) | value_t::number_unsigned
-            number (foating-point)    | value_t::number_float
+            number (floating-point)   | value_t::number_float
             object                    | value_t::object
             array                     | value_t::array
             discarded                 | value_t::discarded
@@ -9049,7 +13084,7 @@ class basic_json
     @liveexample{The following code exemplifies `type()` for all JSON
     types.,type}
 
-    @sa @ref operator value_t() -- return the type of the JSON value (implicit) 
+    @sa @ref operator value_t() -- return the type of the JSON value (implicit)
     @sa @ref type_name() -- return the type as string
 
     @since version 1.0.0
@@ -9540,22 +13575,43 @@ class basic_json
 
     @since version 2.1.0
     */
-    template <
-        typename BasicJsonType,
-        detail::enable_if_t<std::is_same<typename std::remove_const<BasicJsonType>::type,
-                                         basic_json_t>::value,
-                            int> = 0 >
+    template<typename BasicJsonType, detail::enable_if_t<
+                 std::is_same<typename std::remove_const<BasicJsonType>::type, basic_json_t>::value,
+                 int> = 0>
     basic_json get() const
     {
         return *this;
     }
 
+    /*!
+    @brief get special-case overload
+
+    This overloads converts the current @ref basic_json in a different
+    @ref basic_json type
+
+    @tparam BasicJsonType == @ref basic_json
+
+    @return a copy of *this, converted into @tparam BasicJsonType
+
+    @complexity Depending on the implementation of the called `from_json()`
+                method.
+
+    @since version 3.2.0
+    */
+    template<typename BasicJsonType, detail::enable_if_t<
+                 not std::is_same<BasicJsonType, basic_json>::value and
+                 detail::is_basic_json<BasicJsonType>::value, int> = 0>
+    BasicJsonType get() const
+    {
+        return *this;
+    }
+
     /*!
     @brief get a value (explicit)
 
     Explicit type conversion between the JSON value and a compatible value
-    which is [CopyConstructible](http://en.cppreference.com/w/cpp/concept/CopyConstructible)
-    and [DefaultConstructible](http://en.cppreference.com/w/cpp/concept/DefaultConstructible).
+    which is [CopyConstructible](https://en.cppreference.com/w/cpp/named_req/CopyConstructible)
+    and [DefaultConstructible](https://en.cppreference.com/w/cpp/named_req/DefaultConstructible).
     The value is converted by calling the @ref json_serializer<ValueType>
     `from_json()` method.
 
@@ -9589,14 +13645,12 @@ class basic_json
 
     @since version 2.1.0
     */
-    template <
-        typename ValueTypeCV,
-        typename ValueType = detail::uncvref_t<ValueTypeCV>,
-        detail::enable_if_t <
-            not std::is_same<basic_json_t, ValueType>::value and
-            detail::has_from_json<basic_json_t, ValueType>::value and
-            not detail::has_non_default_from_json<basic_json_t, ValueType>::value,
-            int > = 0 >
+    template<typename ValueTypeCV, typename ValueType = detail::uncvref_t<ValueTypeCV>,
+             detail::enable_if_t <
+                 not detail::is_basic_json<ValueType>::value and
+                 detail::has_from_json<basic_json_t, ValueType>::value and
+                 not detail::has_non_default_from_json<basic_json_t, ValueType>::value,
+                 int> = 0>
     ValueType get() const noexcept(noexcept(
                                        JSONSerializer<ValueType>::from_json(std::declval<const basic_json_t&>(), std::declval<ValueType&>())))
     {
@@ -9617,8 +13671,8 @@ class basic_json
     @brief get a value (explicit); special case
 
     Explicit type conversion between the JSON value and a compatible value
-    which is **not** [CopyConstructible](http://en.cppreference.com/w/cpp/concept/CopyConstructible)
-    and **not** [DefaultConstructible](http://en.cppreference.com/w/cpp/concept/DefaultConstructible).
+    which is **not** [CopyConstructible](https://en.cppreference.com/w/cpp/named_req/CopyConstructible)
+    and **not** [DefaultConstructible](https://en.cppreference.com/w/cpp/named_req/DefaultConstructible).
     The value is converted by calling the @ref json_serializer<ValueType>
     `from_json()` method.
 
@@ -9644,12 +13698,10 @@ class basic_json
 
     @since version 2.1.0
     */
-    template <
-        typename ValueTypeCV,
-        typename ValueType = detail::uncvref_t<ValueTypeCV>,
-        detail::enable_if_t<not std::is_same<basic_json_t, ValueType>::value and
-                            detail::has_non_default_from_json<basic_json_t,
-                                    ValueType>::value, int> = 0 >
+    template<typename ValueTypeCV, typename ValueType = detail::uncvref_t<ValueTypeCV>,
+             detail::enable_if_t<not std::is_same<basic_json_t, ValueType>::value and
+                                 detail::has_non_default_from_json<basic_json_t, ValueType>::value,
+                                 int> = 0>
     ValueType get() const noexcept(noexcept(
                                        JSONSerializer<ValueTypeCV>::from_json(std::declval<const basic_json_t&>())))
     {
@@ -9658,6 +13710,99 @@ class basic_json
         return JSONSerializer<ValueTypeCV>::from_json(*this);
     }
 
+    /*!
+    @brief get a value (explicit)
+
+    Explicit type conversion between the JSON value and a compatible value.
+    The value is filled into the input parameter by calling the @ref json_serializer<ValueType>
+    `from_json()` method.
+
+    The function is equivalent to executing
+    @code {.cpp}
+    ValueType v;
+    JSONSerializer<ValueType>::from_json(*this, v);
+    @endcode
+
+    This overloads is chosen if:
+    - @a ValueType is not @ref basic_json,
+    - @ref json_serializer<ValueType> has a `from_json()` method of the form
+      `void from_json(const basic_json&, ValueType&)`, and
+
+    @tparam ValueType the input parameter type.
+
+    @return the input parameter, allowing chaining calls.
+
+    @throw what @ref json_serializer<ValueType> `from_json()` method throws
+
+    @liveexample{The example below shows several conversions from JSON values
+    to other types. There a few things to note: (1) Floating-point numbers can
+    be converted to integers\, (2) A JSON array can be converted to a standard
+    `std::vector<short>`\, (3) A JSON object can be converted to C++
+    associative containers such as `std::unordered_map<std::string\,
+    json>`.,get_to}
+
+    @since version 3.3.0
+    */
+    template<typename ValueType,
+             detail::enable_if_t <
+                 not detail::is_basic_json<ValueType>::value and
+                 detail::has_from_json<basic_json_t, ValueType>::value,
+                 int> = 0>
+    ValueType & get_to(ValueType& v) const noexcept(noexcept(
+                JSONSerializer<ValueType>::from_json(std::declval<const basic_json_t&>(), v)))
+    {
+        JSONSerializer<ValueType>::from_json(*this, v);
+        return v;
+    }
+
+
+    /*!
+    @brief get a pointer value (implicit)
+
+    Implicit pointer access to the internally stored JSON value. No copies are
+    made.
+
+    @warning Writing data to the pointee of the result yields an undefined
+    state.
+
+    @tparam PointerType pointer type; must be a pointer to @ref array_t, @ref
+    object_t, @ref string_t, @ref boolean_t, @ref number_integer_t,
+    @ref number_unsigned_t, or @ref number_float_t. Enforced by a static
+    assertion.
+
+    @return pointer to the internally stored JSON value if the requested
+    pointer type @a PointerType fits to the JSON value; `nullptr` otherwise
+
+    @complexity Constant.
+
+    @liveexample{The example below shows how pointers to internal values of a
+    JSON value can be requested. Note that no type conversions are made and a
+    `nullptr` is returned if the value and the requested pointer type does not
+    match.,get_ptr}
+
+    @since version 1.0.0
+    */
+    template<typename PointerType, typename std::enable_if<
+                 std::is_pointer<PointerType>::value, int>::type = 0>
+    auto get_ptr() noexcept -> decltype(std::declval<basic_json_t&>().get_impl_ptr(std::declval<PointerType>()))
+    {
+        // delegate the call to get_impl_ptr<>()
+        return get_impl_ptr(static_cast<PointerType>(nullptr));
+    }
+
+    /*!
+    @brief get a pointer value (implicit)
+    @copydoc get_ptr()
+    */
+    template<typename PointerType, typename std::enable_if<
+                 std::is_pointer<PointerType>::value and
+                 std::is_const<typename std::remove_pointer<PointerType>::type>::value, int>::type = 0>
+    constexpr auto get_ptr() const noexcept -> decltype(std::declval<const basic_json_t&>().get_impl_ptr(std::declval<PointerType>()))
+    {
+        // delegate the call to get_impl_ptr<>() const
+        return get_impl_ptr(static_cast<PointerType>(nullptr));
+    }
+
     /*!
     @brief get a pointer value (explicit)
 
@@ -9687,7 +13832,7 @@ class basic_json
     */
     template<typename PointerType, typename std::enable_if<
                  std::is_pointer<PointerType>::value, int>::type = 0>
-    PointerType get() noexcept
+    auto get() noexcept -> decltype(std::declval<basic_json_t&>().template get_ptr<PointerType>())
     {
         // delegate the call to get_ptr
         return get_ptr<PointerType>();
@@ -9699,89 +13844,12 @@ class basic_json
     */
     template<typename PointerType, typename std::enable_if<
                  std::is_pointer<PointerType>::value, int>::type = 0>
-    constexpr const PointerType get() const noexcept
+    constexpr auto get() const noexcept -> decltype(std::declval<const basic_json_t&>().template get_ptr<PointerType>())
     {
         // delegate the call to get_ptr
         return get_ptr<PointerType>();
     }
 
-    /*!
-    @brief get a pointer value (implicit)
-
-    Implicit pointer access to the internally stored JSON value. No copies are
-    made.
-
-    @warning Writing data to the pointee of the result yields an undefined
-    state.
-
-    @tparam PointerType pointer type; must be a pointer to @ref array_t, @ref
-    object_t, @ref string_t, @ref boolean_t, @ref number_integer_t,
-    @ref number_unsigned_t, or @ref number_float_t. Enforced by a static
-    assertion.
-
-    @return pointer to the internally stored JSON value if the requested
-    pointer type @a PointerType fits to the JSON value; `nullptr` otherwise
-
-    @complexity Constant.
-
-    @liveexample{The example below shows how pointers to internal values of a
-    JSON value can be requested. Note that no type conversions are made and a
-    `nullptr` is returned if the value and the requested pointer type does not
-    match.,get_ptr}
-
-    @since version 1.0.0
-    */
-    template<typename PointerType, typename std::enable_if<
-                 std::is_pointer<PointerType>::value, int>::type = 0>
-    PointerType get_ptr() noexcept
-    {
-        // get the type of the PointerType (remove pointer and const)
-        using pointee_t = typename std::remove_const<typename
-                          std::remove_pointer<typename
-                          std::remove_const<PointerType>::type>::type>::type;
-        // make sure the type matches the allowed types
-        static_assert(
-            std::is_same<object_t, pointee_t>::value
-            or std::is_same<array_t, pointee_t>::value
-            or std::is_same<string_t, pointee_t>::value
-            or std::is_same<boolean_t, pointee_t>::value
-            or std::is_same<number_integer_t, pointee_t>::value
-            or std::is_same<number_unsigned_t, pointee_t>::value
-            or std::is_same<number_float_t, pointee_t>::value
-            , "incompatible pointer type");
-
-        // delegate the call to get_impl_ptr<>()
-        return get_impl_ptr(static_cast<PointerType>(nullptr));
-    }
-
-    /*!
-    @brief get a pointer value (implicit)
-    @copydoc get_ptr()
-    */
-    template<typename PointerType, typename std::enable_if<
-                 std::is_pointer<PointerType>::value and
-                 std::is_const<typename std::remove_pointer<PointerType>::type>::value, int>::type = 0>
-    constexpr const PointerType get_ptr() const noexcept
-    {
-        // get the type of the PointerType (remove pointer and const)
-        using pointee_t = typename std::remove_const<typename
-                          std::remove_pointer<typename
-                          std::remove_const<PointerType>::type>::type>::type;
-        // make sure the type matches the allowed types
-        static_assert(
-            std::is_same<object_t, pointee_t>::value
-            or std::is_same<array_t, pointee_t>::value
-            or std::is_same<string_t, pointee_t>::value
-            or std::is_same<boolean_t, pointee_t>::value
-            or std::is_same<number_integer_t, pointee_t>::value
-            or std::is_same<number_unsigned_t, pointee_t>::value
-            or std::is_same<number_float_t, pointee_t>::value
-            , "incompatible pointer type");
-
-        // delegate the call to get_impl_ptr<>() const
-        return get_impl_ptr(static_cast<const PointerType>(nullptr));
-    }
-
     /*!
     @brief get a reference value (implicit)
 
@@ -9861,13 +13929,16 @@ class basic_json
     template < typename ValueType, typename std::enable_if <
                    not std::is_pointer<ValueType>::value and
                    not std::is_same<ValueType, detail::json_ref<basic_json>>::value and
-                   not std::is_same<ValueType, typename string_t::value_type>::value
+                   not std::is_same<ValueType, typename string_t::value_type>::value and
+                   not detail::is_basic_json<ValueType>::value
+
 #ifndef _MSC_VER  // fix for issue #167 operator<< ambiguity under VS2015
                    and not std::is_same<ValueType, std::initializer_list<typename string_t::value_type>>::value
-#endif
-#if (defined(__cplusplus) && __cplusplus >= 201703L) || (defined(_MSC_VER) && _MSC_VER >1900 && defined(_HAS_CXX17) && _HAS_CXX17 == 1) // fix for issue #464
+#if defined(JSON_HAS_CPP_17) && defined(_MSC_VER) and _MSC_VER <= 1914
                    and not std::is_same<ValueType, typename std::string_view>::value
 #endif
+#endif
+                   and detail::is_detected<detail::get_template_function, const basic_json_t&, ValueType>::value
                    , int >::type = 0 >
     operator ValueType() const
     {
@@ -10131,7 +14202,7 @@ class basic_json
             return m_value.array->operator[](idx);
         }
 
-        JSON_THROW(type_error::create(305, "cannot use operator[] with " + std::string(type_name())));
+        JSON_THROW(type_error::create(305, "cannot use operator[] with a numeric argument with " + std::string(type_name())));
     }
 
     /*!
@@ -10143,7 +14214,7 @@ class basic_json
 
     @return const reference to the element at index @a idx
 
-    @throw type_error.305 if the JSON value is not an array; in that cases,
+    @throw type_error.305 if the JSON value is not an array; in that case,
     using the [] operator with an index makes no sense.
 
     @complexity Constant.
@@ -10161,7 +14232,7 @@ class basic_json
             return m_value.array->operator[](idx);
         }
 
-        JSON_THROW(type_error::create(305, "cannot use operator[] with " + std::string(type_name())));
+        JSON_THROW(type_error::create(305, "cannot use operator[] with a numeric argument with " + std::string(type_name())));
     }
 
     /*!
@@ -10207,7 +14278,7 @@ class basic_json
             return m_value.object->operator[](key);
         }
 
-        JSON_THROW(type_error::create(305, "cannot use operator[] with " + std::string(type_name())));
+        JSON_THROW(type_error::create(305, "cannot use operator[] with a string argument with " + std::string(type_name())));
     }
 
     /*!
@@ -10226,7 +14297,7 @@ class basic_json
     @pre The element with key @a key must exist. **This precondition is
          enforced with an assertion.**
 
-    @throw type_error.305 if the JSON value is not an object; in that cases,
+    @throw type_error.305 if the JSON value is not an object; in that case,
     using the [] operator with a key makes no sense.
 
     @complexity Logarithmic in the size of the container.
@@ -10249,7 +14320,7 @@ class basic_json
             return m_value.object->find(key)->second;
         }
 
-        JSON_THROW(type_error::create(305, "cannot use operator[] with " + std::string(type_name())));
+        JSON_THROW(type_error::create(305, "cannot use operator[] with a string argument with " + std::string(type_name())));
     }
 
     /*!
@@ -10296,7 +14367,7 @@ class basic_json
             return m_value.object->operator[](key);
         }
 
-        JSON_THROW(type_error::create(305, "cannot use operator[] with " + std::string(type_name())));
+        JSON_THROW(type_error::create(305, "cannot use operator[] with a string argument with " + std::string(type_name())));
     }
 
     /*!
@@ -10315,7 +14386,7 @@ class basic_json
     @pre The element with key @a key must exist. **This precondition is
          enforced with an assertion.**
 
-    @throw type_error.305 if the JSON value is not an object; in that cases,
+    @throw type_error.305 if the JSON value is not an object; in that case,
     using the [] operator with a key makes no sense.
 
     @complexity Logarithmic in the size of the container.
@@ -10339,7 +14410,7 @@ class basic_json
             return m_value.object->find(key)->second;
         }
 
-        JSON_THROW(type_error::create(305, "cannot use operator[] with " + std::string(type_name())));
+        JSON_THROW(type_error::create(305, "cannot use operator[] with a string argument with " + std::string(type_name())));
     }
 
     /*!
@@ -10375,7 +14446,7 @@ class basic_json
     @return copy of the element at key @a key or @a default_value if @a key
     is not found
 
-    @throw type_error.306 if the JSON value is not an objec; in that cases,
+    @throw type_error.306 if the JSON value is not an object; in that case,
     using `value()` with a key makes no sense.
 
     @complexity Logarithmic in the size of the container.
@@ -10448,7 +14519,7 @@ class basic_json
     @return copy of the element at key @a key or @a default_value if @a key
     is not found
 
-    @throw type_error.306 if the JSON value is not an objec; in that cases,
+    @throw type_error.306 if the JSON value is not an object; in that case,
     using `value()` with a key makes no sense.
 
     @complexity Logarithmic in the size of the container.
@@ -10472,7 +14543,7 @@ class basic_json
             {
                 return ptr.get_checked(this);
             }
-            JSON_CATCH (out_of_range&)
+            JSON_INTERNAL_CATCH (out_of_range&)
             {
                 return default_value;
             }
@@ -10652,8 +14723,8 @@ class basic_json
                 if (is_string())
                 {
                     AllocatorType<string_t> alloc;
-                    alloc.destroy(m_value.string);
-                    alloc.deallocate(m_value.string, 1);
+                    std::allocator_traits<decltype(alloc)>::destroy(alloc, m_value.string);
+                    std::allocator_traits<decltype(alloc)>::deallocate(alloc, m_value.string, 1);
                     m_value.string = nullptr;
                 }
 
@@ -10758,8 +14829,8 @@ class basic_json
                 if (is_string())
                 {
                     AllocatorType<string_t> alloc;
-                    alloc.destroy(m_value.string);
-                    alloc.deallocate(m_value.string, 1);
+                    std::allocator_traits<decltype(alloc)>::destroy(alloc, m_value.string);
+                    std::allocator_traits<decltype(alloc)>::deallocate(alloc, m_value.string, 1);
                     m_value.string = nullptr;
                 }
 
@@ -10891,7 +14962,7 @@ class basic_json
     @note This method always returns @ref end() when executed on a JSON type
           that is not an object.
 
-    @param[in] key key value of the element to search for
+    @param[in] key key value of the element to search for.
 
     @return Iterator to an element with key equivalent to @a key. If no such
     element is found or the JSON value is not an object, past-the-end (see
@@ -10903,13 +14974,14 @@ class basic_json
 
     @since version 1.0.0
     */
-    iterator find(typename object_t::key_type key)
+    template<typename KeyT>
+    iterator find(KeyT&& key)
     {
         auto result = end();
 
         if (is_object())
         {
-            result.m_it.object_iterator = m_value.object->find(key);
+            result.m_it.object_iterator = m_value.object->find(std::forward<KeyT>(key));
         }
 
         return result;
@@ -10917,15 +14989,16 @@ class basic_json
 
     /*!
     @brief find an element in a JSON object
-    @copydoc find(typename object_t::key_type)
+    @copydoc find(KeyT&&)
     */
-    const_iterator find(typename object_t::key_type key) const
+    template<typename KeyT>
+    const_iterator find(KeyT&& key) const
     {
         auto result = cend();
 
         if (is_object())
         {
-            result.m_it.object_iterator = m_value.object->find(key);
+            result.m_it.object_iterator = m_value.object->find(std::forward<KeyT>(key));
         }
 
         return result;
@@ -10952,10 +15025,11 @@ class basic_json
 
     @since version 1.0.0
     */
-    size_type count(typename object_t::key_type key) const
+    template<typename KeyT>
+    size_type count(KeyT&& key) const
     {
         // return 0 for all nonobject types
-        return is_object() ? m_value.object->count(key) : 0;
+        return is_object() ? m_value.object->count(std::forward<KeyT>(key)) : 0;
     }
 
     /// @}
@@ -10980,7 +15054,7 @@ class basic_json
     @complexity Constant.
 
     @requirement This function helps `basic_json` satisfying the
-    [Container](http://en.cppreference.com/w/cpp/concept/Container)
+    [Container](https://en.cppreference.com/w/cpp/named_req/Container)
     requirements:
     - The complexity is constant.
 
@@ -11019,7 +15093,7 @@ class basic_json
     @complexity Constant.
 
     @requirement This function helps `basic_json` satisfying the
-    [Container](http://en.cppreference.com/w/cpp/concept/Container)
+    [Container](https://en.cppreference.com/w/cpp/named_req/Container)
     requirements:
     - The complexity is constant.
     - Has the semantics of `const_cast<const basic_json&>(*this).begin()`.
@@ -11051,7 +15125,7 @@ class basic_json
     @complexity Constant.
 
     @requirement This function helps `basic_json` satisfying the
-    [Container](http://en.cppreference.com/w/cpp/concept/Container)
+    [Container](https://en.cppreference.com/w/cpp/named_req/Container)
     requirements:
     - The complexity is constant.
 
@@ -11090,7 +15164,7 @@ class basic_json
     @complexity Constant.
 
     @requirement This function helps `basic_json` satisfying the
-    [Container](http://en.cppreference.com/w/cpp/concept/Container)
+    [Container](https://en.cppreference.com/w/cpp/named_req/Container)
     requirements:
     - The complexity is constant.
     - Has the semantics of `const_cast<const basic_json&>(*this).end()`.
@@ -11120,7 +15194,7 @@ class basic_json
     @complexity Constant.
 
     @requirement This function helps `basic_json` satisfying the
-    [ReversibleContainer](http://en.cppreference.com/w/cpp/concept/ReversibleContainer)
+    [ReversibleContainer](https://en.cppreference.com/w/cpp/named_req/ReversibleContainer)
     requirements:
     - The complexity is constant.
     - Has the semantics of `reverse_iterator(end())`.
@@ -11157,7 +15231,7 @@ class basic_json
     @complexity Constant.
 
     @requirement This function helps `basic_json` satisfying the
-    [ReversibleContainer](http://en.cppreference.com/w/cpp/concept/ReversibleContainer)
+    [ReversibleContainer](https://en.cppreference.com/w/cpp/named_req/ReversibleContainer)
     requirements:
     - The complexity is constant.
     - Has the semantics of `reverse_iterator(begin())`.
@@ -11194,7 +15268,7 @@ class basic_json
     @complexity Constant.
 
     @requirement This function helps `basic_json` satisfying the
-    [ReversibleContainer](http://en.cppreference.com/w/cpp/concept/ReversibleContainer)
+    [ReversibleContainer](https://en.cppreference.com/w/cpp/named_req/ReversibleContainer)
     requirements:
     - The complexity is constant.
     - Has the semantics of `const_cast<const basic_json&>(*this).rbegin()`.
@@ -11223,7 +15297,7 @@ class basic_json
     @complexity Constant.
 
     @requirement This function helps `basic_json` satisfying the
-    [ReversibleContainer](http://en.cppreference.com/w/cpp/concept/ReversibleContainer)
+    [ReversibleContainer](https://en.cppreference.com/w/cpp/named_req/ReversibleContainer)
     requirements:
     - The complexity is constant.
     - Has the semantics of `const_cast<const basic_json&>(*this).rend()`.
@@ -11250,22 +15324,133 @@ class basic_json
     reference to the JSON values is returned, so there is no access to the
     underlying iterator.
 
+    For loop without iterator_wrapper:
+
+    @code{cpp}
+    for (auto it = j_object.begin(); it != j_object.end(); ++it)
+    {
+        std::cout << "key: " << it.key() << ", value:" << it.value() << '\n';
+    }
+    @endcode
+
+    Range-based for loop without iterator proxy:
+
+    @code{cpp}
+    for (auto it : j_object)
+    {
+        // "it" is of type json::reference and has no key() member
+        std::cout << "value: " << it << '\n';
+    }
+    @endcode
+
+    Range-based for loop with iterator proxy:
+
+    @code{cpp}
+    for (auto it : json::iterator_wrapper(j_object))
+    {
+        std::cout << "key: " << it.key() << ", value:" << it.value() << '\n';
+    }
+    @endcode
+
+    @note When iterating over an array, `key()` will return the index of the
+          element as string (see example).
+
+    @param[in] ref  reference to a JSON value
+    @return iteration proxy object wrapping @a ref with an interface to use in
+            range-based for loops
+
     @liveexample{The following code shows how the wrapper is used,iterator_wrapper}
 
+    @exceptionsafety Strong guarantee: if an exception is thrown, there are no
+    changes in the JSON value.
+
+    @complexity Constant.
+
     @note The name of this function is not yet final and may change in the
     future.
+
+    @deprecated This stream operator is deprecated and will be removed in
+                future 4.0.0 of the library. Please use @ref items() instead;
+                that is, replace `json::iterator_wrapper(j)` with `j.items()`.
     */
-    static iteration_proxy<iterator> iterator_wrapper(reference cont)
+    JSON_DEPRECATED
+    static iteration_proxy<iterator> iterator_wrapper(reference ref) noexcept
     {
-        return iteration_proxy<iterator>(cont);
+        return ref.items();
     }
 
     /*!
     @copydoc iterator_wrapper(reference)
     */
-    static iteration_proxy<const_iterator> iterator_wrapper(const_reference cont)
+    JSON_DEPRECATED
+    static iteration_proxy<const_iterator> iterator_wrapper(const_reference ref) noexcept
     {
-        return iteration_proxy<const_iterator>(cont);
+        return ref.items();
+    }
+
+    /*!
+    @brief helper to access iterator member functions in range-based for
+
+    This function allows to access @ref iterator::key() and @ref
+    iterator::value() during range-based for loops. In these loops, a
+    reference to the JSON values is returned, so there is no access to the
+    underlying iterator.
+
+    For loop without `items()` function:
+
+    @code{cpp}
+    for (auto it = j_object.begin(); it != j_object.end(); ++it)
+    {
+        std::cout << "key: " << it.key() << ", value:" << it.value() << '\n';
+    }
+    @endcode
+
+    Range-based for loop without `items()` function:
+
+    @code{cpp}
+    for (auto it : j_object)
+    {
+        // "it" is of type json::reference and has no key() member
+        std::cout << "value: " << it << '\n';
+    }
+    @endcode
+
+    Range-based for loop with `items()` function:
+
+    @code{cpp}
+    for (auto it : j_object.items())
+    {
+        std::cout << "key: " << it.key() << ", value:" << it.value() << '\n';
+    }
+    @endcode
+
+    @note When iterating over an array, `key()` will return the index of the
+          element as string (see example). For primitive types (e.g., numbers),
+          `key()` returns an empty string.
+
+    @return iteration proxy object wrapping @a ref with an interface to use in
+            range-based for loops
+
+    @liveexample{The following code shows how the function is used.,items}
+
+    @exceptionsafety Strong guarantee: if an exception is thrown, there are no
+    changes in the JSON value.
+
+    @complexity Constant.
+
+    @since version 3.1.0.
+    */
+    iteration_proxy<iterator> items() noexcept
+    {
+        return iteration_proxy<iterator>(*this);
+    }
+
+    /*!
+    @copydoc items()
+    */
+    iteration_proxy<const_iterator> items() const noexcept
+    {
+        return iteration_proxy<const_iterator>(*this);
     }
 
     /// @}
@@ -11310,7 +15495,7 @@ class basic_json
     false in the case of a string.
 
     @requirement This function helps `basic_json` satisfying the
-    [Container](http://en.cppreference.com/w/cpp/concept/Container)
+    [Container](https://en.cppreference.com/w/cpp/named_req/Container)
     requirements:
     - The complexity is constant.
     - Has the semantics of `begin() == end()`.
@@ -11381,7 +15566,7 @@ class basic_json
     the case of a string.
 
     @requirement This function helps `basic_json` satisfying the
-    [Container](http://en.cppreference.com/w/cpp/concept/Container)
+    [Container](https://en.cppreference.com/w/cpp/named_req/Container)
     requirements:
     - The complexity is constant.
     - Has the semantics of `std::distance(begin(), end())`.
@@ -11451,7 +15636,7 @@ class basic_json
     @exceptionsafety No-throw guarantee: this function never throws exceptions.
 
     @requirement This function helps `basic_json` satisfying the
-    [Container](http://en.cppreference.com/w/cpp/concept/Container)
+    [Container](https://en.cppreference.com/w/cpp/named_req/Container)
     requirements:
     - The complexity is constant.
     - Has the semantics of returning `b.size()` where `b` is the largest
@@ -11863,6 +16048,26 @@ class basic_json
         return {it, res.second};
     }
 
+    /// Helper for insertion of an iterator
+    /// @note: This uses std::distance to support GCC 4.8,
+    ///        see https://github.com/nlohmann/json/pull/1257
+    template<typename... Args>
+    iterator insert_iterator(const_iterator pos, Args&& ... args)
+    {
+        iterator result(this);
+        assert(m_value.array != nullptr);
+
+        auto insert_pos = std::distance(m_value.array->begin(), pos.m_it.array_iterator);
+        m_value.array->insert(pos.m_it.array_iterator, std::forward<Args>(args)...);
+        result.m_it.array_iterator = m_value.array->begin() + insert_pos;
+
+        // This could have been written as:
+        // result.m_it.array_iterator = m_value.array->insert(pos.m_it.array_iterator, cnt, val);
+        // but the return value of insert is missing in GCC 4.8, so it is written this way instead.
+
+        return result;
+    }
+
     /*!
     @brief inserts element
 
@@ -11897,9 +16102,7 @@ class basic_json
             }
 
             // insert to array and return iterator
-            iterator result(this);
-            result.m_it.array_iterator = m_value.array->insert(pos.m_it.array_iterator, val);
-            return result;
+            return insert_iterator(pos, val);
         }
 
         JSON_THROW(type_error::create(309, "cannot use insert() with " + std::string(type_name())));
@@ -11950,9 +16153,7 @@ class basic_json
             }
 
             // insert to array and return iterator
-            iterator result(this);
-            result.m_it.array_iterator = m_value.array->insert(pos.m_it.array_iterator, cnt, val);
-            return result;
+            return insert_iterator(pos, cnt, val);
         }
 
         JSON_THROW(type_error::create(309, "cannot use insert() with " + std::string(type_name())));
@@ -12008,18 +16209,13 @@ class basic_json
             JSON_THROW(invalid_iterator::create(210, "iterators do not fit"));
         }
 
-        if (JSON_UNLIKELY(first.m_object == this or last.m_object == this))
+        if (JSON_UNLIKELY(first.m_object == this))
         {
             JSON_THROW(invalid_iterator::create(211, "passed iterators may not belong to container"));
         }
 
         // insert to array and return iterator
-        iterator result(this);
-        result.m_it.array_iterator = m_value.array->insert(
-                                         pos.m_it.array_iterator,
-                                         first.m_it.array_iterator,
-                                         last.m_it.array_iterator);
-        return result;
+        return insert_iterator(pos, first.m_it.array_iterator, last.m_it.array_iterator);
     }
 
     /*!
@@ -12061,9 +16257,7 @@ class basic_json
         }
 
         // insert to array and return iterator
-        iterator result(this);
-        result.m_it.array_iterator = m_value.array->insert(pos.m_it.array_iterator, ilist.begin(), ilist.end());
-        return result;
+        return insert_iterator(pos, ilist.begin(), ilist.end());
     }
 
     /*!
@@ -12104,8 +16298,7 @@ class basic_json
         }
 
         // passed iterators must belong to objects
-        if (JSON_UNLIKELY(not first.m_object->is_object()
-                          or not last.m_object->is_object()))
+        if (JSON_UNLIKELY(not first.m_object->is_object()))
         {
             JSON_THROW(invalid_iterator::create(202, "iterators first and last must point to objects"));
         }
@@ -12151,7 +16344,7 @@ class basic_json
             JSON_THROW(type_error::create(312, "cannot use update() with " + std::string(j.type_name())));
         }
 
-        for (auto it = j.begin(); it != j.end(); ++it)
+        for (auto it = j.cbegin(); it != j.cend(); ++it)
         {
             m_value.object->operator[](it.key()) = it.value();
         }
@@ -12206,7 +16399,7 @@ class basic_json
 
         // passed iterators must belong to objects
         if (JSON_UNLIKELY(not first.m_object->is_object()
-                          or not first.m_object->is_object()))
+                          or not last.m_object->is_object()))
         {
             JSON_THROW(invalid_iterator::create(202, "iterators first and last must point to objects"));
         }
@@ -12372,7 +16565,7 @@ class basic_json
     [comparison function](https://github.com/mariokonrad/marnav/blob/master/src/marnav/math/floatingpoint.hpp#L34-#L39)
     could be used, for instance
     @code {.cpp}
-    template <typename T, typename = typename std::enable_if<std::is_floating_point<T>::value, T>::type>
+    template<typename T, typename = typename std::enable_if<std::is_floating_point<T>::value, T>::type>
     inline bool is_same(T a, T b, T epsilon = std::numeric_limits<T>::epsilon()) noexcept
     {
         return std::abs(a - b) <= epsilon;
@@ -12800,7 +16993,7 @@ class basic_json
       `std::setw(4)` on @a o sets the indentation level to `4` and the
       serialization result is the same as calling `dump(4)`.
 
-    - The indentation characrer can be controlled with the member variable
+    - The indentation character can be controlled with the member variable
       `fill` of the output stream @a o. For instance, the manipulator
       `std::setfill('\\t')` sets indentation to use a tab character rather than
       the default space character.
@@ -12810,12 +17003,15 @@ class basic_json
 
     @return the stream @a o
 
+    @throw type_error.316 if a string stored inside the JSON value is not
+                          UTF-8 encoded
+
     @complexity Linear.
 
     @liveexample{The example below shows the serialization with different
     parameters to `width` to adjust the indentation level.,operator_serialize}
 
-    @since version 1.0.0; indentaction character added in version 3.0.0
+    @since version 1.0.0; indentation character added in version 3.0.0
     */
     friend std::ostream& operator<<(std::ostream& o, const basic_json& j)
     {
@@ -12834,10 +17030,11 @@ class basic_json
 
     /*!
     @brief serialize to stream
-    @deprecated This stream operator is deprecated and will be removed in a
-                future version of the library. Please use
+    @deprecated This stream operator is deprecated and will be removed in
+                future 4.0.0 of the library. Please use
                 @ref operator<<(std::ostream&, const basic_json&)
                 instead; that is, replace calls like `j >> o;` with `o << j;`.
+    @since version 1.0.0; deprecated since version 3.0.0
     */
     JSON_DEPRECATED
     friend std::ostream& operator>>(const basic_json& j, std::ostream& o)
@@ -12917,7 +17114,7 @@ class basic_json
 
     @since version 2.0.3 (contiguous containers)
     */
-    static basic_json parse(detail::input_adapter i,
+    static basic_json parse(detail::input_adapter&& i,
                             const parser_callback_t cb = nullptr,
                             const bool allow_exceptions = true)
     {
@@ -12926,26 +17123,80 @@ class basic_json
         return result;
     }
 
+    static bool accept(detail::input_adapter&& i)
+    {
+        return parser(i).accept(true);
+    }
+
     /*!
-    @copydoc basic_json parse(detail::input_adapter, const parser_callback_t)
+    @brief generate SAX events
+
+    The SAX event lister must follow the interface of @ref json_sax.
+
+    This function reads from a compatible input. Examples are:
+    - an array of 1-byte values
+    - strings with character/literal type with size of 1 byte
+    - input streams
+    - container with contiguous storage of 1-byte values. Compatible container
+      types include `std::vector`, `std::string`, `std::array`,
+      `std::valarray`, and `std::initializer_list`. Furthermore, C-style
+      arrays can be used with `std::begin()`/`std::end()`. User-defined
+      containers can be used as long as they implement random-access iterators
+      and a contiguous storage.
+
+    @pre Each element of the container has a size of 1 byte. Violating this
+    precondition yields undefined behavior. **This precondition is enforced
+    with a static assertion.**
+
+    @pre The container storage is contiguous. Violating this precondition
+    yields undefined behavior. **This precondition is enforced with an
+    assertion.**
+    @pre Each element of the container has a size of 1 byte. Violating this
+    precondition yields undefined behavior. **This precondition is enforced
+    with a static assertion.**
+
+    @warning There is no way to enforce all preconditions at compile-time. If
+             the function is called with a noncompliant container and with
+             assertions switched off, the behavior is undefined and will most
+             likely yield segmentation violation.
+
+    @param[in] i  input to read from
+    @param[in,out] sax  SAX event listener
+    @param[in] format  the format to parse (JSON, CBOR, MessagePack, or UBJSON)
+    @param[in] strict  whether the input has to be consumed completely
+
+    @return return value of the last processed SAX event
+
+    @throw parse_error.101 if a parse error occurs; example: `""unexpected end
+    of input; expected string literal""`
+    @throw parse_error.102 if to_unicode fails or surrogate error
+    @throw parse_error.103 if to_unicode fails
+
+    @complexity Linear in the length of the input. The parser is a predictive
+    LL(1) parser. The complexity can be higher if the SAX consumer @a sax has
+    a super-linear complexity.
+
+    @note A UTF-8 byte order mark is silently ignored.
+
+    @liveexample{The example below demonstrates the `sax_parse()` function
+    reading from string and processing the events with a user-defined SAX
+    event consumer.,sax_parse}
+
+    @since version 3.2.0
     */
-    static basic_json parse(detail::input_adapter& i,
-                            const parser_callback_t cb = nullptr,
-                            const bool allow_exceptions = true)
+    template <typename SAX>
+    static bool sax_parse(detail::input_adapter&& i, SAX* sax,
+                          input_format_t format = input_format_t::json,
+                          const bool strict = true)
     {
-        basic_json result;
-        parser(i, cb, allow_exceptions).parse(true, result);
-        return result;
-    }
-
-    static bool accept(detail::input_adapter i)
-    {
-        return parser(i).accept(true);
-    }
-
-    static bool accept(detail::input_adapter& i)
-    {
-        return parser(i).accept(true);
+        assert(sax);
+        switch (format)
+        {
+            case input_format_t::json:
+                return parser(std::move(i)).sax_parse(sax, strict);
+            default:
+                return detail::binary_reader<basic_json, SAX>(std::move(i)).sax_parse(format, sax, strict);
+        }
     }
 
     /*!
@@ -12975,6 +17226,8 @@ class basic_json
     @param[in] cb  a parser callback function of type @ref parser_callback_t
     which is used to control the deserialization by filtering unwanted values
     (optional)
+    @param[in] allow_exceptions  whether to throw exceptions in case of a
+    parse error (optional, true by default)
 
     @return result of the deserialization
 
@@ -13015,12 +17268,22 @@ class basic_json
         return parser(detail::input_adapter(first, last)).accept(true);
     }
 
+    template<class IteratorType, class SAX, typename std::enable_if<
+                 std::is_base_of<
+                     std::random_access_iterator_tag,
+                     typename std::iterator_traits<IteratorType>::iterator_category>::value, int>::type = 0>
+    static bool sax_parse(IteratorType first, IteratorType last, SAX* sax)
+    {
+        return parser(detail::input_adapter(first, last)).sax_parse(sax);
+    }
+
     /*!
     @brief deserialize from stream
-    @deprecated This stream operator is deprecated and will be removed in a
-                future version of the library. Please use
+    @deprecated This stream operator is deprecated and will be removed in
+                version 4.0.0 of the library. Please use
                 @ref operator>>(std::istream&, basic_json&)
                 instead; that is, replace calls like `j << i;` with `i >> j;`.
+    @since version 1.0.0; deprecated since version 3.0.0
     */
     JSON_DEPRECATED
     friend std::istream& operator<<(basic_json& j, std::istream& i)
@@ -13090,7 +17353,7 @@ class basic_json
     types.,type_name}
 
     @sa @ref type() -- return the type of the JSON value
-    @sa @ref operator value_t() -- return the type of the JSON value (implicit) 
+    @sa @ref operator value_t() -- return the type of the JSON value (implicit)
 
     @since version 1.0.0, public since 2.1.0, `const char*` and `noexcept`
     since 3.0.0
@@ -13151,40 +17414,40 @@ class basic_json
 
     JSON value type | value/range                                | CBOR type                          | first byte
     --------------- | ------------------------------------------ | ---------------------------------- | ---------------
-    null            | `null`                                     | Null                               | 0xf6
-    boolean         | `true`                                     | True                               | 0xf5
-    boolean         | `false`                                    | False                              | 0xf4
-    number_integer  | -9223372036854775808..-2147483649          | Negative integer (8 bytes follow)  | 0x3b
-    number_integer  | -2147483648..-32769                        | Negative integer (4 bytes follow)  | 0x3a
+    null            | `null`                                     | Null                               | 0xF6
+    boolean         | `true`                                     | True                               | 0xF5
+    boolean         | `false`                                    | False                              | 0xF4
+    number_integer  | -9223372036854775808..-2147483649          | Negative integer (8 bytes follow)  | 0x3B
+    number_integer  | -2147483648..-32769                        | Negative integer (4 bytes follow)  | 0x3A
     number_integer  | -32768..-129                               | Negative integer (2 bytes follow)  | 0x39
     number_integer  | -128..-25                                  | Negative integer (1 byte follow)   | 0x38
     number_integer  | -24..-1                                    | Negative integer                   | 0x20..0x37
     number_integer  | 0..23                                      | Integer                            | 0x00..0x17
     number_integer  | 24..255                                    | Unsigned integer (1 byte follow)   | 0x18
     number_integer  | 256..65535                                 | Unsigned integer (2 bytes follow)  | 0x19
-    number_integer  | 65536..4294967295                          | Unsigned integer (4 bytes follow)  | 0x1a
-    number_integer  | 4294967296..18446744073709551615           | Unsigned integer (8 bytes follow)  | 0x1b
+    number_integer  | 65536..4294967295                          | Unsigned integer (4 bytes follow)  | 0x1A
+    number_integer  | 4294967296..18446744073709551615           | Unsigned integer (8 bytes follow)  | 0x1B
     number_unsigned | 0..23                                      | Integer                            | 0x00..0x17
     number_unsigned | 24..255                                    | Unsigned integer (1 byte follow)   | 0x18
     number_unsigned | 256..65535                                 | Unsigned integer (2 bytes follow)  | 0x19
-    number_unsigned | 65536..4294967295                          | Unsigned integer (4 bytes follow)  | 0x1a
-    number_unsigned | 4294967296..18446744073709551615           | Unsigned integer (8 bytes follow)  | 0x1b
-    number_float    | *any value*                                | Double-Precision Float             | 0xfb
+    number_unsigned | 65536..4294967295                          | Unsigned integer (4 bytes follow)  | 0x1A
+    number_unsigned | 4294967296..18446744073709551615           | Unsigned integer (8 bytes follow)  | 0x1B
+    number_float    | *any value*                                | Double-Precision Float             | 0xFB
     string          | *length*: 0..23                            | UTF-8 string                       | 0x60..0x77
     string          | *length*: 23..255                          | UTF-8 string (1 byte follow)       | 0x78
     string          | *length*: 256..65535                       | UTF-8 string (2 bytes follow)      | 0x79
-    string          | *length*: 65536..4294967295                | UTF-8 string (4 bytes follow)      | 0x7a
-    string          | *length*: 4294967296..18446744073709551615 | UTF-8 string (8 bytes follow)      | 0x7b
+    string          | *length*: 65536..4294967295                | UTF-8 string (4 bytes follow)      | 0x7A
+    string          | *length*: 4294967296..18446744073709551615 | UTF-8 string (8 bytes follow)      | 0x7B
     array           | *size*: 0..23                              | array                              | 0x80..0x97
     array           | *size*: 23..255                            | array (1 byte follow)              | 0x98
     array           | *size*: 256..65535                         | array (2 bytes follow)             | 0x99
-    array           | *size*: 65536..4294967295                  | array (4 bytes follow)             | 0x9a
-    array           | *size*: 4294967296..18446744073709551615   | array (8 bytes follow)             | 0x9b
-    object          | *size*: 0..23                              | map                                | 0xa0..0xb7
-    object          | *size*: 23..255                            | map (1 byte follow)                | 0xb8
-    object          | *size*: 256..65535                         | map (2 bytes follow)               | 0xb9
-    object          | *size*: 65536..4294967295                  | map (4 bytes follow)               | 0xba
-    object          | *size*: 4294967296..18446744073709551615   | map (8 bytes follow)               | 0xbb
+    array           | *size*: 65536..4294967295                  | array (4 bytes follow)             | 0x9A
+    array           | *size*: 4294967296..18446744073709551615   | array (8 bytes follow)             | 0x9B
+    object          | *size*: 0..23                              | map                                | 0xA0..0xB7
+    object          | *size*: 23..255                            | map (1 byte follow)                | 0xB8
+    object          | *size*: 256..65535                         | map (2 bytes follow)               | 0xB9
+    object          | *size*: 65536..4294967295                  | map (4 bytes follow)               | 0xBA
+    object          | *size*: 4294967296..18446744073709551615   | map (8 bytes follow)               | 0xBB
 
     @note The mapping is **complete** in the sense that any JSON value type
           can be converted to a CBOR value.
@@ -13194,20 +17457,20 @@ class basic_json
           function which serializes NaN or Infinity to `null`.
 
     @note The following CBOR types are not used in the conversion:
-          - byte strings (0x40..0x5f)
-          - UTF-8 strings terminated by "break" (0x7f)
-          - arrays terminated by "break" (0x9f)
-          - maps terminated by "break" (0xbf)
-          - date/time (0xc0..0xc1)
-          - bignum (0xc2..0xc3)
-          - decimal fraction (0xc4)
-          - bigfloat (0xc5)
-          - tagged items (0xc6..0xd4, 0xd8..0xdb)
-          - expected conversions (0xd5..0xd7)
-          - simple values (0xe0..0xf3, 0xf8)
-          - undefined (0xf7)
-          - half and single-precision floats (0xf9-0xfa)
-          - break (0xff)
+          - byte strings (0x40..0x5F)
+          - UTF-8 strings terminated by "break" (0x7F)
+          - arrays terminated by "break" (0x9F)
+          - maps terminated by "break" (0xBF)
+          - date/time (0xC0..0xC1)
+          - bignum (0xC2..0xC3)
+          - decimal fraction (0xC4)
+          - bigfloat (0xC5)
+          - tagged items (0xC6..0xD4, 0xD8..0xDB)
+          - expected conversions (0xD5..0xD7)
+          - simple values (0xE0..0xF3, 0xF8)
+          - undefined (0xF7)
+          - half and single-precision floats (0xF9-0xFA)
+          - break (0xFF)
 
     @param[in] j  JSON value to serialize
     @return MessagePack serialization as byte vector
@@ -13218,9 +17481,11 @@ class basic_json
     vector in CBOR format.,to_cbor}
 
     @sa http://cbor.io
-    @sa @ref from_cbor(const std::vector<uint8_t>&, const size_t) for the
+    @sa @ref from_cbor(detail::input_adapter, const bool strict) for the
         analogous deserialization
     @sa @ref to_msgpack(const basic_json&) for the related MessagePack format
+    @sa @ref to_ubjson(const basic_json&, const bool, const bool) for the
+             related UBJSON format
 
     @since version 2.0.9
     */
@@ -13253,35 +17518,35 @@ class basic_json
 
     JSON value type | value/range                       | MessagePack type | first byte
     --------------- | --------------------------------- | ---------------- | ----------
-    null            | `null`                            | nil              | 0xc0
-    boolean         | `true`                            | true             | 0xc3
-    boolean         | `false`                           | false            | 0xc2
-    number_integer  | -9223372036854775808..-2147483649 | int64            | 0xd3
-    number_integer  | -2147483648..-32769               | int32            | 0xd2
-    number_integer  | -32768..-129                      | int16            | 0xd1
-    number_integer  | -128..-33                         | int8             | 0xd0
-    number_integer  | -32..-1                           | negative fixint  | 0xe0..0xff
-    number_integer  | 0..127                            | positive fixint  | 0x00..0x7f
-    number_integer  | 128..255                          | uint 8           | 0xcc
-    number_integer  | 256..65535                        | uint 16          | 0xcd
-    number_integer  | 65536..4294967295                 | uint 32          | 0xce
-    number_integer  | 4294967296..18446744073709551615  | uint 64          | 0xcf
-    number_unsigned | 0..127                            | positive fixint  | 0x00..0x7f
-    number_unsigned | 128..255                          | uint 8           | 0xcc
-    number_unsigned | 256..65535                        | uint 16          | 0xcd
-    number_unsigned | 65536..4294967295                 | uint 32          | 0xce
-    number_unsigned | 4294967296..18446744073709551615  | uint 64          | 0xcf
-    number_float    | *any value*                       | float 64         | 0xcb
-    string          | *length*: 0..31                   | fixstr           | 0xa0..0xbf
-    string          | *length*: 32..255                 | str 8            | 0xd9
-    string          | *length*: 256..65535              | str 16           | 0xda
-    string          | *length*: 65536..4294967295       | str 32           | 0xdb
-    array           | *size*: 0..15                     | fixarray         | 0x90..0x9f
-    array           | *size*: 16..65535                 | array 16         | 0xdc
-    array           | *size*: 65536..4294967295         | array 32         | 0xdd
-    object          | *size*: 0..15                     | fix map          | 0x80..0x8f
-    object          | *size*: 16..65535                 | map 16           | 0xde
-    object          | *size*: 65536..4294967295         | map 32           | 0xdf
+    null            | `null`                            | nil              | 0xC0
+    boolean         | `true`                            | true             | 0xC3
+    boolean         | `false`                           | false            | 0xC2
+    number_integer  | -9223372036854775808..-2147483649 | int64            | 0xD3
+    number_integer  | -2147483648..-32769               | int32            | 0xD2
+    number_integer  | -32768..-129                      | int16            | 0xD1
+    number_integer  | -128..-33                         | int8             | 0xD0
+    number_integer  | -32..-1                           | negative fixint  | 0xE0..0xFF
+    number_integer  | 0..127                            | positive fixint  | 0x00..0x7F
+    number_integer  | 128..255                          | uint 8           | 0xCC
+    number_integer  | 256..65535                        | uint 16          | 0xCD
+    number_integer  | 65536..4294967295                 | uint 32          | 0xCE
+    number_integer  | 4294967296..18446744073709551615  | uint 64          | 0xCF
+    number_unsigned | 0..127                            | positive fixint  | 0x00..0x7F
+    number_unsigned | 128..255                          | uint 8           | 0xCC
+    number_unsigned | 256..65535                        | uint 16          | 0xCD
+    number_unsigned | 65536..4294967295                 | uint 32          | 0xCE
+    number_unsigned | 4294967296..18446744073709551615  | uint 64          | 0xCF
+    number_float    | *any value*                       | float 64         | 0xCB
+    string          | *length*: 0..31                   | fixstr           | 0xA0..0xBF
+    string          | *length*: 32..255                 | str 8            | 0xD9
+    string          | *length*: 256..65535              | str 16           | 0xDA
+    string          | *length*: 65536..4294967295       | str 32           | 0xDB
+    array           | *size*: 0..15                     | fixarray         | 0x90..0x9F
+    array           | *size*: 16..65535                 | array 16         | 0xDC
+    array           | *size*: 65536..4294967295         | array 32         | 0xDD
+    object          | *size*: 0..15                     | fix map          | 0x80..0x8F
+    object          | *size*: 16..65535                 | map 16           | 0xDE
+    object          | *size*: 65536..4294967295         | map 32           | 0xDF
 
     @note The mapping is **complete** in the sense that any JSON value type
           can be converted to a MessagePack value.
@@ -13292,10 +17557,10 @@ class basic_json
           - objects with more than 4294967295 elements
 
     @note The following MessagePack types are not used in the conversion:
-          - bin 8 - bin 32 (0xc4..0xc6)
-          - ext 8 - ext 32 (0xc7..0xc9)
-          - float 32 (0xca)
-          - fixext 1 - fixext 16 (0xd4..0xd8)
+          - bin 8 - bin 32 (0xC4..0xC6)
+          - ext 8 - ext 32 (0xC7..0xC9)
+          - float 32 (0xCA)
+          - fixext 1 - fixext 16 (0xD4..0xD8)
 
     @note Any MessagePack output created @ref to_msgpack can be successfully
           parsed by @ref from_msgpack.
@@ -13316,6 +17581,8 @@ class basic_json
     @sa @ref from_msgpack(const std::vector<uint8_t>&, const size_t) for the
         analogous deserialization
     @sa @ref to_cbor(const basic_json& for the related CBOR format
+    @sa @ref to_ubjson(const basic_json&, const bool, const bool) for the
+             related UBJSON format
 
     @since version 2.0.9
     */
@@ -13336,6 +17603,107 @@ class basic_json
         binary_writer<char>(o).write_msgpack(j);
     }
 
+    /*!
+    @brief create a UBJSON serialization of a given JSON value
+
+    Serializes a given JSON value @a j to a byte vector using the UBJSON
+    (Universal Binary JSON) serialization format. UBJSON aims to be more compact
+    than JSON itself, yet more efficient to parse.
+
+    The library uses the following mapping from JSON values types to
+    UBJSON types according to the UBJSON specification:
+
+    JSON value type | value/range                       | UBJSON type | marker
+    --------------- | --------------------------------- | ----------- | ------
+    null            | `null`                            | null        | `Z`
+    boolean         | `true`                            | true        | `T`
+    boolean         | `false`                           | false       | `F`
+    number_integer  | -9223372036854775808..-2147483649 | int64       | `L`
+    number_integer  | -2147483648..-32769               | int32       | `l`
+    number_integer  | -32768..-129                      | int16       | `I`
+    number_integer  | -128..127                         | int8        | `i`
+    number_integer  | 128..255                          | uint8       | `U`
+    number_integer  | 256..32767                        | int16       | `I`
+    number_integer  | 32768..2147483647                 | int32       | `l`
+    number_integer  | 2147483648..9223372036854775807   | int64       | `L`
+    number_unsigned | 0..127                            | int8        | `i`
+    number_unsigned | 128..255                          | uint8       | `U`
+    number_unsigned | 256..32767                        | int16       | `I`
+    number_unsigned | 32768..2147483647                 | int32       | `l`
+    number_unsigned | 2147483648..9223372036854775807   | int64       | `L`
+    number_float    | *any value*                       | float64     | `D`
+    string          | *with shortest length indicator*  | string      | `S`
+    array           | *see notes on optimized format*   | array       | `[`
+    object          | *see notes on optimized format*   | map         | `{`
+
+    @note The mapping is **complete** in the sense that any JSON value type
+          can be converted to a UBJSON value.
+
+    @note The following values can **not** be converted to a UBJSON value:
+          - strings with more than 9223372036854775807 bytes (theoretical)
+          - unsigned integer numbers above 9223372036854775807
+
+    @note The following markers are not used in the conversion:
+          - `Z`: no-op values are not created.
+          - `C`: single-byte strings are serialized with `S` markers.
+
+    @note Any UBJSON output created @ref to_ubjson can be successfully parsed
+          by @ref from_ubjson.
+
+    @note If NaN or Infinity are stored inside a JSON number, they are
+          serialized properly. This behavior differs from the @ref dump()
+          function which serializes NaN or Infinity to `null`.
+
+    @note The optimized formats for containers are supported: Parameter
+          @a use_size adds size information to the beginning of a container and
+          removes the closing marker. Parameter @a use_type further checks
+          whether all elements of a container have the same type and adds the
+          type marker to the beginning of the container. The @a use_type
+          parameter must only be used together with @a use_size = true. Note
+          that @a use_size = true alone may result in larger representations -
+          the benefit of this parameter is that the receiving side is
+          immediately informed on the number of elements of the container.
+
+    @param[in] j  JSON value to serialize
+    @param[in] use_size  whether to add size annotations to container types
+    @param[in] use_type  whether to add type annotations to container types
+                         (must be combined with @a use_size = true)
+    @return UBJSON serialization as byte vector
+
+    @complexity Linear in the size of the JSON value @a j.
+
+    @liveexample{The example shows the serialization of a JSON value to a byte
+    vector in UBJSON format.,to_ubjson}
+
+    @sa http://ubjson.org
+    @sa @ref from_ubjson(detail::input_adapter, const bool strict) for the
+        analogous deserialization
+    @sa @ref to_cbor(const basic_json& for the related CBOR format
+    @sa @ref to_msgpack(const basic_json&) for the related MessagePack format
+
+    @since version 3.1.0
+    */
+    static std::vector<uint8_t> to_ubjson(const basic_json& j,
+                                          const bool use_size = false,
+                                          const bool use_type = false)
+    {
+        std::vector<uint8_t> result;
+        to_ubjson(j, result, use_size, use_type);
+        return result;
+    }
+
+    static void to_ubjson(const basic_json& j, detail::output_adapter<uint8_t> o,
+                          const bool use_size = false, const bool use_type = false)
+    {
+        binary_writer<uint8_t>(o).write_ubjson(j, use_size, use_type);
+    }
+
+    static void to_ubjson(const basic_json& j, detail::output_adapter<char> o,
+                          const bool use_size = false, const bool use_type = false)
+    {
+        binary_writer<char>(o).write_ubjson(j, use_size, use_type);
+    }
+
     /*!
     @brief create a JSON value from an input in CBOR format
 
@@ -13349,51 +17717,51 @@ class basic_json
     Integer                | number_unsigned | 0x00..0x17
     Unsigned integer       | number_unsigned | 0x18
     Unsigned integer       | number_unsigned | 0x19
-    Unsigned integer       | number_unsigned | 0x1a
-    Unsigned integer       | number_unsigned | 0x1b
+    Unsigned integer       | number_unsigned | 0x1A
+    Unsigned integer       | number_unsigned | 0x1B
     Negative integer       | number_integer  | 0x20..0x37
     Negative integer       | number_integer  | 0x38
     Negative integer       | number_integer  | 0x39
-    Negative integer       | number_integer  | 0x3a
-    Negative integer       | number_integer  | 0x3b
+    Negative integer       | number_integer  | 0x3A
+    Negative integer       | number_integer  | 0x3B
     Negative integer       | number_integer  | 0x40..0x57
     UTF-8 string           | string          | 0x60..0x77
     UTF-8 string           | string          | 0x78
     UTF-8 string           | string          | 0x79
-    UTF-8 string           | string          | 0x7a
-    UTF-8 string           | string          | 0x7b
-    UTF-8 string           | string          | 0x7f
+    UTF-8 string           | string          | 0x7A
+    UTF-8 string           | string          | 0x7B
+    UTF-8 string           | string          | 0x7F
     array                  | array           | 0x80..0x97
     array                  | array           | 0x98
     array                  | array           | 0x99
-    array                  | array           | 0x9a
-    array                  | array           | 0x9b
-    array                  | array           | 0x9f
-    map                    | object          | 0xa0..0xb7
-    map                    | object          | 0xb8
-    map                    | object          | 0xb9
-    map                    | object          | 0xba
-    map                    | object          | 0xbb
-    map                    | object          | 0xbf
-    False                  | `false`         | 0xf4
-    True                   | `true`          | 0xf5
-    Nill                   | `null`          | 0xf6
-    Half-Precision Float   | number_float    | 0xf9
-    Single-Precision Float | number_float    | 0xfa
-    Double-Precision Float | number_float    | 0xfb
+    array                  | array           | 0x9A
+    array                  | array           | 0x9B
+    array                  | array           | 0x9F
+    map                    | object          | 0xA0..0xB7
+    map                    | object          | 0xB8
+    map                    | object          | 0xB9
+    map                    | object          | 0xBA
+    map                    | object          | 0xBB
+    map                    | object          | 0xBF
+    False                  | `false`         | 0xF4
+    True                   | `true`          | 0xF5
+    Nill                   | `null`          | 0xF6
+    Half-Precision Float   | number_float    | 0xF9
+    Single-Precision Float | number_float    | 0xFA
+    Double-Precision Float | number_float    | 0xFB
 
     @warning The mapping is **incomplete** in the sense that not all CBOR
              types can be converted to a JSON value. The following CBOR types
              are not supported and will yield parse errors (parse_error.112):
-             - byte strings (0x40..0x5f)
-             - date/time (0xc0..0xc1)
-             - bignum (0xc2..0xc3)
-             - decimal fraction (0xc4)
-             - bigfloat (0xc5)
-             - tagged items (0xc6..0xd4, 0xd8..0xdb)
-             - expected conversions (0xd5..0xd7)
-             - simple values (0xe0..0xf3, 0xf8)
-             - undefined (0xf7)
+             - byte strings (0x40..0x5F)
+             - date/time (0xC0..0xC1)
+             - bignum (0xC2..0xC3)
+             - decimal fraction (0xC4)
+             - bigfloat (0xC5)
+             - tagged items (0xC6..0xD4, 0xD8..0xDB)
+             - expected conversions (0xD5..0xD7)
+             - simple values (0xE0..0xF3, 0xF8)
+             - undefined (0xF7)
 
     @warning CBOR allows map keys of any type, whereas JSON only allows
              strings as keys in object values. Therefore, CBOR maps with keys
@@ -13405,6 +17773,9 @@ class basic_json
     @param[in] i  an input in CBOR format convertible to an input adapter
     @param[in] strict  whether to expect the input to be consumed until EOF
                        (true by default)
+    @param[in] allow_exceptions  whether to throw exceptions in case of a
+    parse error (optional, true by default)
+
     @return deserialized JSON value
 
     @throw parse_error.110 if the given input ends prematurely or the end of
@@ -13420,27 +17791,39 @@ class basic_json
 
     @sa http://cbor.io
     @sa @ref to_cbor(const basic_json&) for the analogous serialization
-    @sa @ref from_msgpack(detail::input_adapter, const bool) for the
+    @sa @ref from_msgpack(detail::input_adapter, const bool, const bool) for the
         related MessagePack format
+    @sa @ref from_ubjson(detail::input_adapter, const bool, const bool) for the
+        related UBJSON format
 
     @since version 2.0.9; parameter @a start_index since 2.1.1; changed to
            consume input adapters, removed start_index parameter, and added
-           @a strict parameter since 3.0.0
+           @a strict parameter since 3.0.0; added @allow_exceptions parameter
+           since 3.2.0
     */
-    static basic_json from_cbor(detail::input_adapter i,
-                                const bool strict = true)
+    static basic_json from_cbor(detail::input_adapter&& i,
+                                const bool strict = true,
+                                const bool allow_exceptions = true)
     {
-        return binary_reader(i).parse_cbor(strict);
+        basic_json result;
+        detail::json_sax_dom_parser<basic_json> sdp(result, allow_exceptions);
+        const bool res = binary_reader(detail::input_adapter(i)).sax_parse(input_format_t::cbor, &sdp, strict);
+        return res ? result : basic_json(value_t::discarded);
     }
 
     /*!
-    @copydoc from_cbor(detail::input_adapter, const bool)
+    @copydoc from_cbor(detail::input_adapter, const bool, const bool)
     */
     template<typename A1, typename A2,
              detail::enable_if_t<std::is_constructible<detail::input_adapter, A1, A2>::value, int> = 0>
-    static basic_json from_cbor(A1 && a1, A2 && a2, const bool strict = true)
+    static basic_json from_cbor(A1 && a1, A2 && a2,
+                                const bool strict = true,
+                                const bool allow_exceptions = true)
     {
-        return binary_reader(detail::input_adapter(std::forward<A1>(a1), std::forward<A2>(a2))).parse_cbor(strict);
+        basic_json result;
+        detail::json_sax_dom_parser<basic_json> sdp(result, allow_exceptions);
+        const bool res = binary_reader(detail::input_adapter(std::forward<A1>(a1), std::forward<A2>(a2))).sax_parse(input_format_t::cbor, &sdp, strict);
+        return res ? result : basic_json(value_t::discarded);
     }
 
     /*!
@@ -13453,38 +17836,38 @@ class basic_json
 
     MessagePack type | JSON value type | first byte
     ---------------- | --------------- | ----------
-    positive fixint  | number_unsigned | 0x00..0x7f
-    fixmap           | object          | 0x80..0x8f
-    fixarray         | array           | 0x90..0x9f
-    fixstr           | string          | 0xa0..0xbf
-    nil              | `null`          | 0xc0
-    false            | `false`         | 0xc2
-    true             | `true`          | 0xc3
-    float 32         | number_float    | 0xca
-    float 64         | number_float    | 0xcb
-    uint 8           | number_unsigned | 0xcc
-    uint 16          | number_unsigned | 0xcd
-    uint 32          | number_unsigned | 0xce
-    uint 64          | number_unsigned | 0xcf
-    int 8            | number_integer  | 0xd0
-    int 16           | number_integer  | 0xd1
-    int 32           | number_integer  | 0xd2
-    int 64           | number_integer  | 0xd3
-    str 8            | string          | 0xd9
-    str 16           | string          | 0xda
-    str 32           | string          | 0xdb
-    array 16         | array           | 0xdc
-    array 32         | array           | 0xdd
-    map 16           | object          | 0xde
-    map 32           | object          | 0xdf
-    negative fixint  | number_integer  | 0xe0-0xff
+    positive fixint  | number_unsigned | 0x00..0x7F
+    fixmap           | object          | 0x80..0x8F
+    fixarray         | array           | 0x90..0x9F
+    fixstr           | string          | 0xA0..0xBF
+    nil              | `null`          | 0xC0
+    false            | `false`         | 0xC2
+    true             | `true`          | 0xC3
+    float 32         | number_float    | 0xCA
+    float 64         | number_float    | 0xCB
+    uint 8           | number_unsigned | 0xCC
+    uint 16          | number_unsigned | 0xCD
+    uint 32          | number_unsigned | 0xCE
+    uint 64          | number_unsigned | 0xCF
+    int 8            | number_integer  | 0xD0
+    int 16           | number_integer  | 0xD1
+    int 32           | number_integer  | 0xD2
+    int 64           | number_integer  | 0xD3
+    str 8            | string          | 0xD9
+    str 16           | string          | 0xDA
+    str 32           | string          | 0xDB
+    array 16         | array           | 0xDC
+    array 32         | array           | 0xDD
+    map 16           | object          | 0xDE
+    map 32           | object          | 0xDF
+    negative fixint  | number_integer  | 0xE0-0xFF
 
     @warning The mapping is **incomplete** in the sense that not all
              MessagePack types can be converted to a JSON value. The following
              MessagePack types are not supported and will yield parse errors:
-              - bin 8 - bin 32 (0xc4..0xc6)
-              - ext 8 - ext 32 (0xc7..0xc9)
-              - fixext 1 - fixext 16 (0xd4..0xd8)
+              - bin 8 - bin 32 (0xC4..0xC6)
+              - ext 8 - ext 32 (0xC7..0xC9)
+              - fixext 1 - fixext 16 (0xD4..0xD8)
 
     @note Any MessagePack output created @ref to_msgpack can be successfully
           parsed by @ref from_msgpack.
@@ -13493,6 +17876,10 @@ class basic_json
                   adapter
     @param[in] strict  whether to expect the input to be consumed until EOF
                        (true by default)
+    @param[in] allow_exceptions  whether to throw exceptions in case of a
+    parse error (optional, true by default)
+
+    @return deserialized JSON value
 
     @throw parse_error.110 if the given input ends prematurely or the end of
     file was not reached when @a strict was set to true
@@ -13507,27 +17894,121 @@ class basic_json
 
     @sa http://msgpack.org
     @sa @ref to_msgpack(const basic_json&) for the analogous serialization
-    @sa @ref from_cbor(detail::input_adapter, const bool) for the related CBOR
-        format
+    @sa @ref from_cbor(detail::input_adapter, const bool, const bool) for the
+        related CBOR format
+    @sa @ref from_ubjson(detail::input_adapter, const bool, const bool) for
+        the related UBJSON format
 
     @since version 2.0.9; parameter @a start_index since 2.1.1; changed to
            consume input adapters, removed start_index parameter, and added
-           @a strict parameter since 3.0.0
+           @a strict parameter since 3.0.0; added @allow_exceptions parameter
+           since 3.2.0
     */
-    static basic_json from_msgpack(detail::input_adapter i,
-                                   const bool strict = true)
+    static basic_json from_msgpack(detail::input_adapter&& i,
+                                   const bool strict = true,
+                                   const bool allow_exceptions = true)
     {
-        return binary_reader(i).parse_msgpack(strict);
+        basic_json result;
+        detail::json_sax_dom_parser<basic_json> sdp(result, allow_exceptions);
+        const bool res = binary_reader(detail::input_adapter(i)).sax_parse(input_format_t::msgpack, &sdp, strict);
+        return res ? result : basic_json(value_t::discarded);
     }
 
     /*!
-    @copydoc from_msgpack(detail::input_adapter, const bool)
+    @copydoc from_msgpack(detail::input_adapter, const bool, const bool)
     */
     template<typename A1, typename A2,
              detail::enable_if_t<std::is_constructible<detail::input_adapter, A1, A2>::value, int> = 0>
-    static basic_json from_msgpack(A1 && a1, A2 && a2, const bool strict = true)
+    static basic_json from_msgpack(A1 && a1, A2 && a2,
+                                   const bool strict = true,
+                                   const bool allow_exceptions = true)
     {
-        return binary_reader(detail::input_adapter(std::forward<A1>(a1), std::forward<A2>(a2))).parse_msgpack(strict);
+        basic_json result;
+        detail::json_sax_dom_parser<basic_json> sdp(result, allow_exceptions);
+        const bool res = binary_reader(detail::input_adapter(std::forward<A1>(a1), std::forward<A2>(a2))).sax_parse(input_format_t::msgpack, &sdp, strict);
+        return res ? result : basic_json(value_t::discarded);
+    }
+
+    /*!
+    @brief create a JSON value from an input in UBJSON format
+
+    Deserializes a given input @a i to a JSON value using the UBJSON (Universal
+    Binary JSON) serialization format.
+
+    The library maps UBJSON types to JSON value types as follows:
+
+    UBJSON type | JSON value type                         | marker
+    ----------- | --------------------------------------- | ------
+    no-op       | *no value, next value is read*          | `N`
+    null        | `null`                                  | `Z`
+    false       | `false`                                 | `F`
+    true        | `true`                                  | `T`
+    float32     | number_float                            | `d`
+    float64     | number_float                            | `D`
+    uint8       | number_unsigned                         | `U`
+    int8        | number_integer                          | `i`
+    int16       | number_integer                          | `I`
+    int32       | number_integer                          | `l`
+    int64       | number_integer                          | `L`
+    string      | string                                  | `S`
+    char        | string                                  | `C`
+    array       | array (optimized values are supported)  | `[`
+    object      | object (optimized values are supported) | `{`
+
+    @note The mapping is **complete** in the sense that any UBJSON value can
+          be converted to a JSON value.
+
+    @param[in] i  an input in UBJSON format convertible to an input adapter
+    @param[in] strict  whether to expect the input to be consumed until EOF
+                       (true by default)
+    @param[in] allow_exceptions  whether to throw exceptions in case of a
+    parse error (optional, true by default)
+
+    @return deserialized JSON value
+
+    @throw parse_error.110 if the given input ends prematurely or the end of
+    file was not reached when @a strict was set to true
+    @throw parse_error.112 if a parse error occurs
+    @throw parse_error.113 if a string could not be parsed successfully
+
+    @complexity Linear in the size of the input @a i.
+
+    @liveexample{The example shows the deserialization of a byte vector in
+    UBJSON format to a JSON value.,from_ubjson}
+
+    @sa http://ubjson.org
+    @sa @ref to_ubjson(const basic_json&, const bool, const bool) for the
+             analogous serialization
+    @sa @ref from_cbor(detail::input_adapter, const bool, const bool) for the
+        related CBOR format
+    @sa @ref from_msgpack(detail::input_adapter, const bool, const bool) for
+        the related MessagePack format
+
+    @since version 3.1.0; added @allow_exceptions parameter since 3.2.0
+    */
+    static basic_json from_ubjson(detail::input_adapter&& i,
+                                  const bool strict = true,
+                                  const bool allow_exceptions = true)
+    {
+        basic_json result;
+        detail::json_sax_dom_parser<basic_json> sdp(result, allow_exceptions);
+        const bool res = binary_reader(detail::input_adapter(i)).sax_parse(input_format_t::ubjson, &sdp, strict);
+        return res ? result : basic_json(value_t::discarded);
+    }
+
+    /*!
+    @copydoc from_ubjson(detail::input_adapter, const bool, const bool)
+    */
+    template<typename A1, typename A2,
+             detail::enable_if_t<std::is_constructible<detail::input_adapter, A1, A2>::value, int> = 0>
+    static basic_json from_ubjson(A1 && a1, A2 && a2,
+                                  const bool strict = true,
+                                  const bool allow_exceptions = true)
+    {
+        basic_json result;
+        detail::json_sax_dom_parser<basic_json> sdp(result, allow_exceptions);
+        const bool res = binary_reader(detail::input_adapter(std::forward<A1>(a1), std::forward<A2>(a2))).sax_parse(input_format_t::ubjson, &sdp, strict);
+        return res ? result : basic_json(value_t::discarded);
     }
 
     /// @}
@@ -13628,6 +18109,9 @@ class basic_json
     pointer @a ptr. As `at` provides checked access (and no elements are
     implicitly inserted), the index '-' is always invalid. See example below.
 
+    @throw out_of_range.403 if the JSON pointer describes a key of an object
+    which cannot be found. See example below.
+
     @throw out_of_range.404 if the JSON pointer @a ptr can not be resolved.
     See example below.
 
@@ -13668,6 +18152,9 @@ class basic_json
     pointer @a ptr. As `at` provides checked access (and no elements are
     implicitly inserted), the index '-' is always invalid. See example below.
 
+    @throw out_of_range.403 if the JSON pointer describes a key of an object
+    which cannot be found. See example below.
+
     @throw out_of_range.404 if the JSON pointer @a ptr can not be resolved.
     See example below.
 
@@ -13883,7 +18370,7 @@ class basic_json
                         }
                         else
                         {
-                            const auto idx = std::stoi(last_path);
+                            const auto idx = json_pointer::array_index(last_path);
                             if (JSON_UNLIKELY(static_cast<size_type>(idx) > parent.size()))
                             {
                                 // avoid undefined behavior
@@ -13898,11 +18385,13 @@ class basic_json
                         break;
                     }
 
+                    // LCOV_EXCL_START
                     default:
                     {
                         // if there exists a parent it cannot be primitive
-                        assert(false);  // LCOV_EXCL_LINE
+                        assert(false);
                     }
+                        // LCOV_EXCL_STOP
                 }
             }
         };
@@ -13931,7 +18420,7 @@ class basic_json
             else if (parent.is_array())
             {
                 // note erase performs range check
-                parent.erase(static_cast<size_type>(std::stoi(last_path)));
+                parent.erase(static_cast<size_type>(json_pointer::array_index(last_path)));
             }
         };
 
@@ -13947,7 +18436,7 @@ class basic_json
             // wrapper to get a value for an operation
             const auto get_value = [&val](const std::string & op,
                                           const std::string & member,
-                                          bool string_type) -> basic_json&
+                                          bool string_type) -> basic_json &
             {
                 // find value
                 auto it = val.m_value.object->find(member);
@@ -14026,7 +18515,12 @@ class basic_json
                     const json_pointer from_ptr(from_path);
 
                     // the "from" location must exist - use at()
-                    result[ptr] = result.at(from_ptr);
+                    basic_json v = result.at(from_ptr);
+
+                    // The copy is functionally identical to an "add"
+                    // operation at the target location using the value
+                    // specified in the "from" member.
+                    operation_add(ptr, v);
                     break;
                 }
 
@@ -14039,7 +18533,7 @@ class basic_json
                         // the "path" location must exist - use at()
                         success = (result.at(ptr) == get_value("test", "value", false));
                     }
-                    JSON_CATCH (out_of_range&)
+                    JSON_INTERNAL_CATCH (out_of_range&)
                     {
                         // ignore out of range errors: success remains false
                     }
@@ -14092,6 +18586,7 @@ class basic_json
     diff for two JSON values.,diff}
 
     @sa @ref patch -- apply a JSON patch
+    @sa @ref merge_patch -- apply a JSON Merge Patch
 
     @sa [RFC 6902 (JSON Patch)](https://tools.ietf.org/html/rfc6902)
 
@@ -14168,7 +18663,7 @@ class basic_json
                 case value_t::object:
                 {
                     // first pass: traverse this object's elements
-                    for (auto it = source.begin(); it != source.end(); ++it)
+                    for (auto it = source.cbegin(); it != source.cend(); ++it)
                     {
                         // escape the key name to be used in a JSON patch
                         const auto key = json_pointer::escape(it.key());
@@ -14190,7 +18685,7 @@ class basic_json
                     }
 
                     // second pass: traverse other object's elements
-                    for (auto it = target.begin(); it != target.end(); ++it)
+                    for (auto it = target.cbegin(); it != target.cend(); ++it)
                     {
                         if (source.find(it.key()) == source.end())
                         {
@@ -14223,418 +18718,86 @@ class basic_json
     }
 
     /// @}
+
+    ////////////////////////////////
+    // JSON Merge Patch functions //
+    ////////////////////////////////
+
+    /// @name JSON Merge Patch functions
+    /// @{
+
+    /*!
+    @brief applies a JSON Merge Patch
+
+    The merge patch format is primarily intended for use with the HTTP PATCH
+    method as a means of describing a set of modifications to a target
+    resource's content. This function applies a merge patch to the current
+    JSON value.
+
+    The function implements the following algorithm from Section 2 of
+    [RFC 7396 (JSON Merge Patch)](https://tools.ietf.org/html/rfc7396):
+
+    ```
+    define MergePatch(Target, Patch):
+      if Patch is an Object:
+        if Target is not an Object:
+          Target = {} // Ignore the contents and set it to an empty Object
+        for each Name/Value pair in Patch:
+          if Value is null:
+            if Name exists in Target:
+              remove the Name/Value pair from Target
+          else:
+            Target[Name] = MergePatch(Target[Name], Value)
+        return Target
+      else:
+        return Patch
+    ```
+
+    Thereby, `Target` is the current object; that is, the patch is applied to
+    the current value.
+
+    @param[in] patch  the patch to apply
+
+    @complexity Linear in the lengths of @a patch.
+
+    @liveexample{The following code shows how a JSON Merge Patch is applied to
+    a JSON document.,merge_patch}
+
+    @sa @ref patch -- apply a JSON patch
+    @sa [RFC 7396 (JSON Merge Patch)](https://tools.ietf.org/html/rfc7396)
+
+    @since version 3.0.0
+    */
+    void merge_patch(const basic_json& patch)
+    {
+        if (patch.is_object())
+        {
+            if (not is_object())
+            {
+                *this = object();
+            }
+            for (auto it = patch.begin(); it != patch.end(); ++it)
+            {
+                if (it.value().is_null())
+                {
+                    erase(it.key());
+                }
+                else
+                {
+                    operator[](it.key()).merge_patch(it.value());
+                }
+            }
+        }
+        else
+        {
+            *this = patch;
+        }
+    }
+
+    /// @}
 };
-
-/////////////
-// presets //
-/////////////
-
-/*!
-@brief default JSON class
-
-This type is the default specialization of the @ref basic_json class which
-uses the standard template types.
-
-@since version 1.0.0
-*/
-using json = basic_json<>;
-
-//////////////////
-// json_pointer //
-//////////////////
-
-NLOHMANN_BASIC_JSON_TPL_DECLARATION
-NLOHMANN_BASIC_JSON_TPL&
-json_pointer::get_and_create(NLOHMANN_BASIC_JSON_TPL& j) const
-{
-    using size_type = typename NLOHMANN_BASIC_JSON_TPL::size_type;
-    auto result = &j;
-
-    // in case no reference tokens exist, return a reference to the JSON value
-    // j which will be overwritten by a primitive value
-    for (const auto& reference_token : reference_tokens)
-    {
-        switch (result->m_type)
-        {
-            case detail::value_t::null:
-            {
-                if (reference_token == "0")
-                {
-                    // start a new array if reference token is 0
-                    result = &result->operator[](0);
-                }
-                else
-                {
-                    // start a new object otherwise
-                    result = &result->operator[](reference_token);
-                }
-                break;
-            }
-
-            case detail::value_t::object:
-            {
-                // create an entry in the object
-                result = &result->operator[](reference_token);
-                break;
-            }
-
-            case detail::value_t::array:
-            {
-                // create an entry in the array
-                JSON_TRY
-                {
-                    result = &result->operator[](static_cast<size_type>(std::stoi(reference_token)));
-                }
-                JSON_CATCH(std::invalid_argument&)
-                {
-                    JSON_THROW(detail::parse_error::create(109, 0, "array index '" + reference_token + "' is not a number"));
-                }
-                break;
-            }
-
-            /*
-            The following code is only reached if there exists a reference
-            token _and_ the current value is primitive. In this case, we have
-            an error situation, because primitive values may only occur as
-            single value; that is, with an empty list of reference tokens.
-            */
-            default:
-                JSON_THROW(detail::type_error::create(313, "invalid value to unflatten"));
-        }
-    }
-
-    return *result;
-}
-
-NLOHMANN_BASIC_JSON_TPL_DECLARATION
-NLOHMANN_BASIC_JSON_TPL&
-json_pointer::get_unchecked(NLOHMANN_BASIC_JSON_TPL* ptr) const
-{
-    using size_type = typename NLOHMANN_BASIC_JSON_TPL::size_type;
-    for (const auto& reference_token : reference_tokens)
-    {
-        // convert null values to arrays or objects before continuing
-        if (ptr->m_type == detail::value_t::null)
-        {
-            // check if reference token is a number
-            const bool nums =
-                std::all_of(reference_token.begin(), reference_token.end(),
-                            [](const char x)
-            {
-                return (x >= '0' and x <= '9');
-            });
-
-            // change value to array for numbers or "-" or to object otherwise
-            *ptr = (nums or reference_token == "-")
-                   ? detail::value_t::array
-                   : detail::value_t::object;
-        }
-
-        switch (ptr->m_type)
-        {
-            case detail::value_t::object:
-            {
-                // use unchecked object access
-                ptr = &ptr->operator[](reference_token);
-                break;
-            }
-
-            case detail::value_t::array:
-            {
-                // error condition (cf. RFC 6901, Sect. 4)
-                if (JSON_UNLIKELY(reference_token.size() > 1 and reference_token[0] == '0'))
-                {
-                    JSON_THROW(detail::parse_error::create(106, 0,
-                                                           "array index '" + reference_token +
-                                                           "' must not begin with '0'"));
-                }
-
-                if (reference_token == "-")
-                {
-                    // explicitly treat "-" as index beyond the end
-                    ptr = &ptr->operator[](ptr->m_value.array->size());
-                }
-                else
-                {
-                    // convert array index to number; unchecked access
-                    JSON_TRY
-                    {
-                        ptr = &ptr->operator[](
-                            static_cast<size_type>(std::stoi(reference_token)));
-                    }
-                    JSON_CATCH(std::invalid_argument&)
-                    {
-                        JSON_THROW(detail::parse_error::create(109, 0, "array index '" + reference_token + "' is not a number"));
-                    }
-                }
-                break;
-            }
-
-            default:
-                JSON_THROW(detail::out_of_range::create(404, "unresolved reference token '" + reference_token + "'"));
-        }
-    }
-
-    return *ptr;
-}
-
-NLOHMANN_BASIC_JSON_TPL_DECLARATION
-NLOHMANN_BASIC_JSON_TPL&
-json_pointer::get_checked(NLOHMANN_BASIC_JSON_TPL* ptr) const
-{
-    using size_type = typename NLOHMANN_BASIC_JSON_TPL::size_type;
-    for (const auto& reference_token : reference_tokens)
-    {
-        switch (ptr->m_type)
-        {
-            case detail::value_t::object:
-            {
-                // note: at performs range check
-                ptr = &ptr->at(reference_token);
-                break;
-            }
-
-            case detail::value_t::array:
-            {
-                if (JSON_UNLIKELY(reference_token == "-"))
-                {
-                    // "-" always fails the range check
-                    JSON_THROW(detail::out_of_range::create(402,
-                                                            "array index '-' (" + std::to_string(ptr->m_value.array->size()) +
-                                                            ") is out of range"));
-                }
-
-                // error condition (cf. RFC 6901, Sect. 4)
-                if (JSON_UNLIKELY(reference_token.size() > 1 and reference_token[0] == '0'))
-                {
-                    JSON_THROW(detail::parse_error::create(106, 0,
-                                                           "array index '" + reference_token +
-                                                           "' must not begin with '0'"));
-                }
-
-                // note: at performs range check
-                JSON_TRY
-                {
-                    ptr = &ptr->at(static_cast<size_type>(std::stoi(reference_token)));
-                }
-                JSON_CATCH(std::invalid_argument&)
-                {
-                    JSON_THROW(detail::parse_error::create(109, 0, "array index '" + reference_token + "' is not a number"));
-                }
-                break;
-            }
-
-            default:
-                JSON_THROW(detail::out_of_range::create(404, "unresolved reference token '" + reference_token + "'"));
-        }
-    }
-
-    return *ptr;
-}
-
-NLOHMANN_BASIC_JSON_TPL_DECLARATION
-const NLOHMANN_BASIC_JSON_TPL&
-json_pointer::get_unchecked(const NLOHMANN_BASIC_JSON_TPL* ptr) const
-{
-    using size_type = typename NLOHMANN_BASIC_JSON_TPL::size_type;
-    for (const auto& reference_token : reference_tokens)
-    {
-        switch (ptr->m_type)
-        {
-            case detail::value_t::object:
-            {
-                // use unchecked object access
-                ptr = &ptr->operator[](reference_token);
-                break;
-            }
-
-            case detail::value_t::array:
-            {
-                if (JSON_UNLIKELY(reference_token == "-"))
-                {
-                    // "-" cannot be used for const access
-                    JSON_THROW(detail::out_of_range::create(402,
-                                                            "array index '-' (" + std::to_string(ptr->m_value.array->size()) +
-                                                            ") is out of range"));
-                }
-
-                // error condition (cf. RFC 6901, Sect. 4)
-                if (JSON_UNLIKELY(reference_token.size() > 1 and reference_token[0] == '0'))
-                {
-                    JSON_THROW(detail::parse_error::create(106, 0,
-                                                           "array index '" + reference_token +
-                                                           "' must not begin with '0'"));
-                }
-
-                // use unchecked array access
-                JSON_TRY
-                {
-                    ptr = &ptr->operator[](
-                        static_cast<size_type>(std::stoi(reference_token)));
-                }
-                JSON_CATCH(std::invalid_argument&)
-                {
-                    JSON_THROW(detail::parse_error::create(109, 0, "array index '" + reference_token + "' is not a number"));
-                }
-                break;
-            }
-
-            default:
-                JSON_THROW(detail::out_of_range::create(404, "unresolved reference token '" + reference_token + "'"));
-        }
-    }
-
-    return *ptr;
-}
-
-NLOHMANN_BASIC_JSON_TPL_DECLARATION
-const NLOHMANN_BASIC_JSON_TPL&
-json_pointer::get_checked(const NLOHMANN_BASIC_JSON_TPL* ptr) const
-{
-    using size_type = typename NLOHMANN_BASIC_JSON_TPL::size_type;
-    for (const auto& reference_token : reference_tokens)
-    {
-        switch (ptr->m_type)
-        {
-            case detail::value_t::object:
-            {
-                // note: at performs range check
-                ptr = &ptr->at(reference_token);
-                break;
-            }
-
-            case detail::value_t::array:
-            {
-                if (JSON_UNLIKELY(reference_token == "-"))
-                {
-                    // "-" always fails the range check
-                    JSON_THROW(detail::out_of_range::create(402,
-                                                            "array index '-' (" + std::to_string(ptr->m_value.array->size()) +
-                                                            ") is out of range"));
-                }
-
-                // error condition (cf. RFC 6901, Sect. 4)
-                if (JSON_UNLIKELY(reference_token.size() > 1 and reference_token[0] == '0'))
-                {
-                    JSON_THROW(detail::parse_error::create(106, 0,
-                                                           "array index '" + reference_token +
-                                                           "' must not begin with '0'"));
-                }
-
-                // note: at performs range check
-                JSON_TRY
-                {
-                    ptr = &ptr->at(static_cast<size_type>(std::stoi(reference_token)));
-                }
-                JSON_CATCH(std::invalid_argument&)
-                {
-                    JSON_THROW(detail::parse_error::create(109, 0, "array index '" + reference_token + "' is not a number"));
-                }
-                break;
-            }
-
-            default:
-                JSON_THROW(detail::out_of_range::create(404, "unresolved reference token '" + reference_token + "'"));
-        }
-    }
-
-    return *ptr;
-}
-
-NLOHMANN_BASIC_JSON_TPL_DECLARATION
-void json_pointer::flatten(const std::string& reference_string,
-                           const NLOHMANN_BASIC_JSON_TPL& value,
-                           NLOHMANN_BASIC_JSON_TPL& result)
-{
-    switch (value.m_type)
-    {
-        case detail::value_t::array:
-        {
-            if (value.m_value.array->empty())
-            {
-                // flatten empty array as null
-                result[reference_string] = nullptr;
-            }
-            else
-            {
-                // iterate array and use index as reference string
-                for (std::size_t i = 0; i < value.m_value.array->size(); ++i)
-                {
-                    flatten(reference_string + "/" + std::to_string(i),
-                            value.m_value.array->operator[](i), result);
-                }
-            }
-            break;
-        }
-
-        case detail::value_t::object:
-        {
-            if (value.m_value.object->empty())
-            {
-                // flatten empty object as null
-                result[reference_string] = nullptr;
-            }
-            else
-            {
-                // iterate object and use keys as reference string
-                for (const auto& element : *value.m_value.object)
-                {
-                    flatten(reference_string + "/" + escape(element.first), element.second, result);
-                }
-            }
-            break;
-        }
-
-        default:
-        {
-            // add primitive value with its reference string
-            result[reference_string] = value;
-            break;
-        }
-    }
-}
-
-NLOHMANN_BASIC_JSON_TPL_DECLARATION
-NLOHMANN_BASIC_JSON_TPL
-json_pointer::unflatten(const NLOHMANN_BASIC_JSON_TPL& value)
-{
-    if (JSON_UNLIKELY(not value.is_object()))
-    {
-        JSON_THROW(detail::type_error::create(314, "only objects can be unflattened"));
-    }
-
-    NLOHMANN_BASIC_JSON_TPL result;
-
-    // iterate the JSON object values
-    for (const auto& element : *value.m_value.object)
-    {
-        if (JSON_UNLIKELY(not element.second.is_primitive()))
-        {
-            JSON_THROW(detail::type_error::create(315, "values in object must be primitive"));
-        }
-
-        // assign value to reference pointed to by JSON pointer; Note that if
-        // the JSON pointer is "" (i.e., points to the whole value), function
-        // get_and_create returns a reference to result itself. An assignment
-        // will then create a primitive value.
-        json_pointer(element.first).get_and_create(result) = element.second;
-    }
-
-    return result;
-}
-
-inline bool operator==(json_pointer const& lhs, json_pointer const& rhs) noexcept
-{
-    return (lhs.reference_tokens == rhs.reference_tokens);
-}
-
-inline bool operator!=(json_pointer const& lhs, json_pointer const& rhs) noexcept
-{
-    return not (lhs == rhs);
-}
 } // namespace nlohmann
 
-
 ///////////////////////
 // nonmember support //
 ///////////////////////
@@ -14642,20 +18805,6 @@ inline bool operator!=(json_pointer const& lhs, json_pointer const& rhs) noexcep
 // specialization of std::swap, and std::hash
 namespace std
 {
-/*!
-@brief exchanges the values of two JSON objects
-
-@since version 1.0.0
-*/
-template<>
-inline void swap(nlohmann::json& j1,
-                 nlohmann::json& j2) noexcept(
-                     is_nothrow_move_constructible<nlohmann::json>::value and
-                     is_nothrow_move_assignable<nlohmann::json>::value
-                 )
-{
-    j1.swap(j2);
-}
 
 /// hash value for JSON objects
 template<>
@@ -14691,6 +18840,20 @@ struct less< ::nlohmann::detail::value_t>
     }
 };
 
+/*!
+@brief exchanges the values of two JSON objects
+
+@since version 1.0.0
+*/
+template<>
+inline void swap<nlohmann::json>(nlohmann::json& j1, nlohmann::json& j2) noexcept(
+    is_nothrow_move_constructible<nlohmann::json>::value and
+    is_nothrow_move_assignable<nlohmann::json>::value
+)
+{
+    j1.swap(j2);
+}
+
 } // namespace std
 
 /*!
@@ -14729,6 +18892,9 @@ inline nlohmann::json::json_pointer operator "" _json_pointer(const char* s, std
     return nlohmann::json::json_pointer(std::string(s, n));
 }
 
+// #include <nlohmann/detail/macro_unscope.hpp>
+
+
 // restore GCC/clang diagnostic settings
 #if defined(__clang__) || defined(__GNUC__) || defined(__GNUG__)
     #pragma GCC diagnostic pop
@@ -14738,13 +18904,17 @@ inline nlohmann::json::json_pointer operator "" _json_pointer(const char* s, std
 #endif
 
 // clean up
+#undef JSON_INTERNAL_CATCH
 #undef JSON_CATCH
 #undef JSON_THROW
 #undef JSON_TRY
 #undef JSON_LIKELY
 #undef JSON_UNLIKELY
 #undef JSON_DEPRECATED
+#undef JSON_HAS_CPP_14
+#undef JSON_HAS_CPP_17
 #undef NLOHMANN_BASIC_JSON_TPL_DECLARATION
 #undef NLOHMANN_BASIC_JSON_TPL
 
+
 #endif

From d0ca7c3fe6c4beec759ea26acca2f1332c3b0484 Mon Sep 17 00:00:00 2001
From: Antonin Portelli <antonin.portelli@me.com>
Date: Sat, 29 Sep 2018 17:55:19 +0100
Subject: [PATCH 13/39] Hadrons: big update for getGrid, grids are now created
 automatically

---
 Hadrons/Environment.hpp                       | 100 +++++++++++-------
 Hadrons/Global.hpp                            |   4 +-
 Hadrons/Module.hpp                            |  39 ++++---
 Hadrons/Modules/MAction/DWF.cc                |   2 +-
 Hadrons/Modules/MAction/DWF.hpp               |  12 +--
 Hadrons/Modules/MAction/MobiusDWF.cc          |   1 +
 Hadrons/Modules/MAction/MobiusDWF.hpp         |  12 +--
 Hadrons/Modules/MAction/ScaledDWF.cc          |   1 +
 Hadrons/Modules/MAction/ScaledDWF.hpp         |  12 +--
 Hadrons/Modules/MAction/Wilson.cc             |   2 +-
 Hadrons/Modules/MAction/Wilson.hpp            |   7 +-
 Hadrons/Modules/MAction/WilsonClover.cc       |   2 +-
 Hadrons/Modules/MAction/WilsonClover.hpp      |  17 ++-
 Hadrons/Modules/MAction/ZMobiusDWF.cc         |   2 +-
 Hadrons/Modules/MAction/ZMobiusDWF.hpp        |  11 +-
 .../Modules/MContraction/A2AMesonField.hpp    |  10 +-
 .../MNoise/TimeDilutedSpinColorDiagonal.hpp   |   4 +-
 Hadrons/Modules/MScalarSUN/StochFreeField.hpp |   7 +-
 Hadrons/Modules/MScalarSUN/TimeMomProbe.hpp   |   2 +-
 Hadrons/Modules/MScalarSUN/TrKinetic.hpp      |   2 +-
 Hadrons/Modules/MScalarSUN/TwoPoint.hpp       |   2 +-
 Hadrons/Modules/MScalarSUN/TwoPointNPR.hpp    |   2 +-
 Hadrons/Modules/MSink/Point.hpp               |   2 +-
 Hadrons/Modules/MSolver/A2AVectors.hpp        |   4 +-
 .../MSolver/MixedPrecisionRBPrecCG.hpp        |   2 +-
 Hadrons/Modules/MSource/SeqConserved.hpp      |   2 +-
 Hadrons/Modules/MSource/SeqGamma.hpp          |   4 +-
 Hadrons/Modules/MSource/Wall.hpp              |   2 +-
 Hadrons/Modules/MSource/Z2.hpp                |   2 +-
 Hadrons/Modules/MUtilities/RandomVectors.hpp  |   4 +-
 30 files changed, 159 insertions(+), 116 deletions(-)

diff --git a/Hadrons/Environment.hpp b/Hadrons/Environment.hpp
index 8498cf81..9841d665 100644
--- a/Hadrons/Environment.hpp
+++ b/Hadrons/Environment.hpp
@@ -94,20 +94,20 @@ public:
     void                    createGrid(const unsigned int Ls);
     template <typename VType = vComplex>
     void                    createCoarseGrid(const std::vector<int> &blockSize,
-                                             const unsigned int Ls = 1);
+                                             const unsigned int Ls);
     template <typename VType = vComplex>
-    GridCartesian *         getGrid(void) const;
+    GridCartesian *         getGrid(void);
     template <typename VType = vComplex>
-    GridRedBlackCartesian * getRbGrid(void) const;
+    GridRedBlackCartesian * getRbGrid(void);
     template <typename VType = vComplex>
-    GridCartesian *         getCoarseGrid(const std::vector<int> &blockSize) const;
+    GridCartesian *         getCoarseGrid(const std::vector<int> &blockSize);
     template <typename VType = vComplex>
-    GridCartesian *         getGrid(const unsigned int Ls) const;
+    GridCartesian *         getGrid(const unsigned int Ls);
     template <typename VType = vComplex>
-    GridRedBlackCartesian * getRbGrid(const unsigned int Ls) const;
+    GridRedBlackCartesian * getRbGrid(const unsigned int Ls);
     template <typename VType = vComplex>
     GridCartesian *         getCoarseGrid(const std::vector<int> &blockSize,
-                                          const unsigned int Ls) const;
+                                          const unsigned int Ls);
     std::vector<int>        getDim(void) const;
     int                     getDim(const unsigned int mu) const;
     unsigned int            getNd(void) const;
@@ -220,6 +220,14 @@ void Holder<T>::reset(T *pt)
  *                     Environment template implementation                    *
  ******************************************************************************/
 // grids ///////////////////////////////////////////////////////////////////////
+#define HADRONS_DUMP_GRID(...)\
+LOG(Debug) << "New grid " << (__VA_ARGS__) << std::endl;\
+LOG(Debug) << " - cb  : " << (__VA_ARGS__)->_isCheckerBoarded << std::endl;\
+LOG(Debug) << " - fdim: " << (__VA_ARGS__)->_fdimensions << std::endl;\
+LOG(Debug) << " - gdim: " << (__VA_ARGS__)->_gdimensions << std::endl;\
+LOG(Debug) << " - ldim: " << (__VA_ARGS__)->_ldimensions << std::endl;\
+LOG(Debug) << " - rdim: " << (__VA_ARGS__)->_rdimensions << std::endl;
+
 template <typename VType>
 void Environment::createGrid(const unsigned int Ls)
 {
@@ -231,15 +239,19 @@ void Environment::createGrid(const unsigned int Ls)
             SpaceTimeGrid::makeFourDimGrid(getDim(), 
                                         GridDefaultSimd(getNd(), VType::Nsimd()),
                                         GridDefaultMpi()));
+        HADRONS_DUMP_GRID(grid4d_[{hash, 1}].get());
         gridRb4d_[{hash, 1}].reset(
             SpaceTimeGrid::makeFourDimRedBlackGrid(grid4d_[{hash, 1}].get()));
+        HADRONS_DUMP_GRID(gridRb4d_[{hash, 1}].get());
     }
     if (grid5d_.find({hash, Ls}) == grid5d_.end())
     {
         auto g = grid4d_[{hash, 1}].get();
         
         grid5d_[{hash, Ls}].reset(SpaceTimeGrid::makeFiveDimGrid(Ls, g));
+        HADRONS_DUMP_GRID(grid5d_[{hash, Ls}].get());
         gridRb5d_[{hash, Ls}].reset(SpaceTimeGrid::makeFiveDimRedBlackGrid(Ls, g));
+        HADRONS_DUMP_GRID(gridRb5d_[{hash, Ls}].get());
     }
 }
 
@@ -289,18 +301,24 @@ void Environment::createCoarseGrid(const std::vector<int> &blockSize,
         gridCoarse4d_[hkey4d].reset(
             SpaceTimeGrid::makeFourDimGrid(coarseDim, 
                 GridDefaultSimd(nd, VType::Nsimd()), GridDefaultMpi()));
+        HADRONS_DUMP_GRID(gridCoarse4d_[hkey4d].get());
     }
     if (gridCoarse5d_.find(hkey5d) == gridCoarse5d_.end())
     {
         gridCoarse5d_[hkey5d].reset(
             SpaceTimeGrid::makeFiveDimGrid(cLs, gridCoarse4d_[hkey4d].get()));
+        HADRONS_DUMP_GRID(gridCoarse5d_[hkey5d].get());
     }
 }
 
+#undef HADRONS_DUMP_GRID
+
 template <typename VType>
-GridCartesian * Environment::getGrid(void) const
+GridCartesian * Environment::getGrid(void)
 {
-    auto it = grid4d_.find({typeHash<VType>(), 1});
+    FineGridKey key = {typeHash<VType>(), 1};
+
+    auto it = grid4d_.find(key);
 
     if (it != grid4d_.end())
     {
@@ -308,15 +326,17 @@ GridCartesian * Environment::getGrid(void) const
     }
     else
     {
-        HADRONS_ERROR(Definition, "no 4D grid for SIMD type '" 
-                                  + typeName<VType>() + "'");
+        createGrid<VType>(1);
+
+        return grid4d_.at(key).get();
     }
 }
 
 template <typename VType>
-GridRedBlackCartesian * Environment::getRbGrid(void) const
+GridRedBlackCartesian * Environment::getRbGrid(void)
 {
-    auto it = gridRb4d_.find({typeHash<VType>(), 1});
+    FineGridKey key = {typeHash<VType>(), 1};
+    auto        it  = gridRb4d_.find(key);
 
     if (it != gridRb4d_.end())
     {
@@ -324,34 +344,39 @@ GridRedBlackCartesian * Environment::getRbGrid(void) const
     }
     else
     {
-        HADRONS_ERROR(Definition, "no 4D red-black grid for SIMD type '" 
-                                  + typeName<VType>() + "'");
+        createGrid<VType>(1);
+
+        return gridRb4d_.at(key).get();
     }
 }
 
 template <typename VType>
-GridCartesian * Environment::getCoarseGrid(const std::vector<int> &blockSize) const
+GridCartesian * Environment::getCoarseGrid(const std::vector<int> &blockSize)
 {
     std::vector<int> s = blockSize;
 
     s.resize(getNd());
-    auto it = gridCoarse4d_.find({typeHash<VType>(), s});
+
+    CoarseGridKey key = {typeHash<VType>(), s};
+    auto          it  = gridCoarse4d_.find(key);
+
     if (it != gridCoarse4d_.end())
     {
         return it->second.get();
     }
     else
     {
-        HADRONS_ERROR(Definition, "no 4D coarse grid for SIMD type '" 
-                                  + typeName<VType>() + "' and block size "
-                                  + vecToStr(blockSize));
+        createCoarseGrid<VType>(blockSize, 1);
+        
+        return gridCoarse4d_.at(key).get();
     }
 }
 
 template <typename VType>
-GridCartesian * Environment::getGrid(const unsigned int Ls) const
+GridCartesian * Environment::getGrid(const unsigned int Ls)
 {
-    auto it = grid5d_.find({typeHash<VType>(), Ls});
+    FineGridKey key = {typeHash<VType>(), Ls};
+    auto        it  = grid5d_.find(key);
 
     if (it != grid5d_.end())
     {
@@ -359,16 +384,17 @@ GridCartesian * Environment::getGrid(const unsigned int Ls) const
     }
     else
     {
-        HADRONS_ERROR(Definition, "no 5D grid for SIMD type '" 
-                                  + typeName<VType>() + "' and Ls = "
-                                  + std::to_string(Ls));
+        createGrid<VType>(Ls);
+
+        return grid5d_.at(key).get();
     }
 }
 
 template <typename VType>
-GridRedBlackCartesian * Environment::getRbGrid(const unsigned int Ls) const
+GridRedBlackCartesian * Environment::getRbGrid(const unsigned int Ls)
 {
-    auto it = gridRb5d_.find({typeHash<VType>(), Ls});
+    FineGridKey key = {typeHash<VType>(), Ls};
+    auto        it  = gridRb5d_.find(key);
 
     if (it != gridRb5d_.end())
     {
@@ -376,30 +402,32 @@ GridRedBlackCartesian * Environment::getRbGrid(const unsigned int Ls) const
     }
     else
     {
-        HADRONS_ERROR(Definition, "no 5D red-black grid for SIMD type '" 
-                                  + typeName<VType>() + "' and Ls = "
-                                  + std::to_string(Ls));
+        createGrid<VType>(Ls);
+
+        return gridRb5d_.at(key).get();
     }
 }
 
 template <typename VType>
 GridCartesian * Environment::getCoarseGrid(const std::vector<int> &blockSize,
-                                           const unsigned int Ls) const
+                                           const unsigned int Ls)
 {
     std::vector<int> s = blockSize;
 
     s.push_back(Ls);
-    auto it = gridCoarse5d_.find({typeHash<VType>(), s});
+
+    CoarseGridKey key = {typeHash<VType>(), s};
+
+    auto it = gridCoarse5d_.find(key);
     if (it != gridCoarse5d_.end())
     {
         return it->second.get();
     }
     else
     {
-        HADRONS_ERROR(Definition, "no 5D coarse grid for SIMD type '" 
-                                  + typeName<VType>() + "', block size "
-                                  + vecToStr(blockSize)
-                                  + " and Ls = " + std::to_string(Ls));
+        createCoarseGrid<VType>(blockSize, Ls);
+
+        return gridCoarse5d_.at(key).get();
     }
 }
 
diff --git a/Hadrons/Global.hpp b/Hadrons/Global.hpp
index 222990f6..e4003e73 100644
--- a/Hadrons/Global.hpp
+++ b/Hadrons/Global.hpp
@@ -106,7 +106,9 @@ typedef std::vector<SitePropagator##suffix>          SlicedPropagator##suffix;
 BASIC_TYPE_ALIASES(FImpl, suffix);\
 typedef FermionOperator<FImpl>            FMat##suffix;\
 typedef typename FImpl::FermionField      FermionField##suffix;\
-typedef typename FImpl::DoubledGaugeField DoubledGaugeField##suffix;
+typedef typename FImpl::GaugeField        GaugeField##suffix;\
+typedef typename FImpl::DoubledGaugeField DoubledGaugeField##suffix;\
+typedef typename FImpl::ComplexField      ComplexField##suffix;
 
 #define GAUGE_TYPE_ALIASES(GImpl, suffix)\
 typedef typename GImpl::GaugeField GaugeField##suffix;
diff --git a/Hadrons/Module.hpp b/Hadrons/Module.hpp
index e9c1c449..083040ce 100644
--- a/Hadrons/Module.hpp
+++ b/Hadrons/Module.hpp
@@ -65,14 +65,27 @@ extern template class base;\
 MODULE_REGISTER(mod, ARG(base), ns);
 
 #define ARG(...) __VA_ARGS__
-#define MACRO_REDIRECT(arg1, arg2, arg3, macro, ...) macro
+#define HADRONS_MACRO_REDIRECT_12(arg1, arg2, macro, ...) macro
+#define HADRONS_MACRO_REDIRECT_23(arg1, arg2, arg3, macro, ...) macro
 
-#define envCreateGrid(latticeType, Ls)\
-env().template createGrid<typename latticeType::vector_type>(Ls)
+#define envGetGrid4(latticeType)\
+env().template getGrid<typename latticeType::vector_type>()
 
-#define envGetGrid(latticeType, Ls)\
+#define envGetGrid5(latticeType, Ls)\
 env().template getGrid<typename latticeType::vector_type>(Ls)
 
+#define envGetGrid(...)\
+HADRONS_MACRO_REDIRECT_12(__VA_ARGS__, envGetGrid5, envGetGrid4)(__VA_ARGS__)
+
+#define envGetRbGrid4(latticeType)\
+env().template getRbGrid<typename latticeType::vector_type>()
+
+#define envGetRbGrid5(latticeType, Ls)\
+env().template getRbGrid<typename latticeType::vector_type>(Ls)
+
+#define envGetRbGrid(...)\
+HADRONS_MACRO_REDIRECT_12(__VA_ARGS__, envGetRbGrid5, envGetRbGrid4)(__VA_ARGS__)
+
 #define envGet(type, name)\
 *env().template getObject<type>(name)
 
@@ -92,38 +105,38 @@ env().template createObject<type>(name, Environment::Storage::object, Ls, __VA_A
 env().template createDerivedObject<base, type>(name, Environment::Storage::object, Ls, __VA_ARGS__)
 
 #define envCreateLat4(type, name)\
-envCreate(type, name, 1, env().template getGrid<typename type::vector_type>())
+envCreate(type, name, 1, envGetGrid(type))
 
 #define envCreateLat5(type, name, Ls)\
-envCreate(type, name, Ls, env().template getGrid<typename type::vector_type>(Ls))
+envCreate(type, name, Ls, envGetGrid(type, Ls))
 
 #define envCreateLat(...)\
-MACRO_REDIRECT(__VA_ARGS__, envCreateLat5, envCreateLat4)(__VA_ARGS__)
+HADRONS_MACRO_REDIRECT_23(__VA_ARGS__, envCreateLat5, envCreateLat4)(__VA_ARGS__)
 
 #define envCache(type, name, Ls, ...)\
 env().template createObject<type>(name, Environment::Storage::cache, Ls, __VA_ARGS__)
 
 #define envCacheLat4(type, name)\
-envCache(type, name, 1, env().template getGrid<typename type::vector_type>())
+envCache(type, name, 1, envGetGrid(type))
 
 #define envCacheLat5(type, name, Ls)\
-envCache(type, name, Ls, env().template getGrid<typename type::vector_type>(Ls))
+envCache(type, name, Ls, envGetGrid(type, Ls))
 
 #define envCacheLat(...)\
-MACRO_REDIRECT(__VA_ARGS__, envCacheLat5, envCacheLat4)(__VA_ARGS__)
+HADRONS_MACRO_REDIRECT_23(__VA_ARGS__, envCacheLat5, envCacheLat4)(__VA_ARGS__)
 
 #define envTmp(type, name, Ls, ...)\
 env().template createObject<type>(getName() + "_tmp_" + name,         \
                                   Environment::Storage::temporary, Ls, __VA_ARGS__)
 
 #define envTmpLat4(type, name)\
-envTmp(type, name, 1, env().template getGrid<typename type::vector_type>())
+envTmp(type, name, 1, envGetGrid(type))
 
 #define envTmpLat5(type, name, Ls)\
-envTmp(type, name, Ls, env().template getGrid<typename type::vector_type>(Ls))
+envTmp(type, name, Ls, envGetGrid(type, Ls))
 
 #define envTmpLat(...)\
-MACRO_REDIRECT(__VA_ARGS__, envTmpLat5, envTmpLat4)(__VA_ARGS__)
+HADRONS_MACRO_REDIRECT_23(__VA_ARGS__, envTmpLat5, envTmpLat4)(__VA_ARGS__)
 
 #define saveResult(ioStem, name, result)\
 if (env().getGrid()->IsBoss() and !ioStem.empty())\
diff --git a/Hadrons/Modules/MAction/DWF.cc b/Hadrons/Modules/MAction/DWF.cc
index 35ff60ac..6cda84ac 100644
--- a/Hadrons/Modules/MAction/DWF.cc
+++ b/Hadrons/Modules/MAction/DWF.cc
@@ -32,4 +32,4 @@ using namespace Hadrons;
 using namespace MAction;
 
 template class Grid::Hadrons::MAction::TDWF<FIMPL>;
-
+template class Grid::Hadrons::MAction::TDWF<FIMPLF>;
diff --git a/Hadrons/Modules/MAction/DWF.hpp b/Hadrons/Modules/MAction/DWF.hpp
index 714bccc3..67cfeb1b 100644
--- a/Hadrons/Modules/MAction/DWF.hpp
+++ b/Hadrons/Modules/MAction/DWF.hpp
@@ -73,6 +73,7 @@ protected:
 };
 
 MODULE_REGISTER_TMP(DWF, TDWF<FIMPL>, MAction);
+MODULE_REGISTER_TMP(DWFF, TDWF<FIMPLF>, MAction);
 
 /******************************************************************************
  *                        DWF template implementation                         *
@@ -111,12 +112,11 @@ void TDWF<FImpl>::setup(void)
     LOG(Message) << "Fermion boundary conditions: " << par().boundary
                  << std::endl;
                  
-    env().createGrid(par().Ls);
-    auto &U    = envGet(LatticeGaugeField, par().gauge);
-    auto &g4   = *env().getGrid();
-    auto &grb4 = *env().getRbGrid();
-    auto &g5   = *env().getGrid(par().Ls);
-    auto &grb5 = *env().getRbGrid(par().Ls);
+    auto &U    = envGet(GaugeField, par().gauge);
+    auto &g4   = *envGetGrid(FermionField);
+    auto &grb4 = *envGetRbGrid(FermionField);
+    auto &g5   = *envGetGrid(FermionField, par().Ls);
+    auto &grb5 = *envGetRbGrid(FermionField, par().Ls);
     std::vector<Complex> boundary = strToVec<Complex>(par().boundary);
     typename DomainWallFermion<FImpl>::ImplParams implParams(boundary);
     envCreateDerived(FMat, DomainWallFermion<FImpl>, getName(), par().Ls, U, g5,
diff --git a/Hadrons/Modules/MAction/MobiusDWF.cc b/Hadrons/Modules/MAction/MobiusDWF.cc
index ba45462f..41683920 100644
--- a/Hadrons/Modules/MAction/MobiusDWF.cc
+++ b/Hadrons/Modules/MAction/MobiusDWF.cc
@@ -32,3 +32,4 @@ using namespace Hadrons;
 using namespace MAction;
 
 template class Grid::Hadrons::MAction::TMobiusDWF<FIMPL>;
+template class Grid::Hadrons::MAction::TMobiusDWF<FIMPLF>;
diff --git a/Hadrons/Modules/MAction/MobiusDWF.hpp b/Hadrons/Modules/MAction/MobiusDWF.hpp
index 4db2ebb6..22964c9a 100644
--- a/Hadrons/Modules/MAction/MobiusDWF.hpp
+++ b/Hadrons/Modules/MAction/MobiusDWF.hpp
@@ -72,6 +72,7 @@ public:
 };
 
 MODULE_REGISTER_TMP(MobiusDWF, TMobiusDWF<FIMPL>, MAction);
+MODULE_REGISTER_TMP(MobiusDWFF, TMobiusDWF<FIMPLF>, MAction);
 
 /******************************************************************************
  *                      TMobiusDWF implementation                             *
@@ -111,12 +112,11 @@ void TMobiusDWF<FImpl>::setup(void)
     LOG(Message) << "Fermion boundary conditions: " << par().boundary
                  << std::endl;
 
-    env().createGrid(par().Ls);
-    auto &U    = envGet(LatticeGaugeField, par().gauge);
-    auto &g4   = *env().getGrid();
-    auto &grb4 = *env().getRbGrid();
-    auto &g5   = *env().getGrid(par().Ls);
-    auto &grb5 = *env().getRbGrid(par().Ls);
+    auto &U    = envGet(GaugeField, par().gauge);
+    auto &g4   = *envGetGrid(FermionField);
+    auto &grb4 = *envGetRbGrid(FermionField);
+    auto &g5   = *envGetGrid(FermionField, par().Ls);
+    auto &grb5 = *envGetRbGrid(FermionField, par().Ls);
     std::vector<Complex> boundary = strToVec<Complex>(par().boundary);
     typename MobiusFermion<FImpl>::ImplParams implParams(boundary);
     envCreateDerived(FMat, MobiusFermion<FImpl>, getName(), par().Ls, U, g5,
diff --git a/Hadrons/Modules/MAction/ScaledDWF.cc b/Hadrons/Modules/MAction/ScaledDWF.cc
index b3f7acdb..70eafac5 100644
--- a/Hadrons/Modules/MAction/ScaledDWF.cc
+++ b/Hadrons/Modules/MAction/ScaledDWF.cc
@@ -32,3 +32,4 @@ using namespace Hadrons;
 using namespace MAction;
 
 template class Grid::Hadrons::MAction::TScaledDWF<FIMPL>;
+template class Grid::Hadrons::MAction::TScaledDWF<FIMPLF>;
diff --git a/Hadrons/Modules/MAction/ScaledDWF.hpp b/Hadrons/Modules/MAction/ScaledDWF.hpp
index 850a8662..c890f0e9 100644
--- a/Hadrons/Modules/MAction/ScaledDWF.hpp
+++ b/Hadrons/Modules/MAction/ScaledDWF.hpp
@@ -71,6 +71,7 @@ public:
 };
 
 MODULE_REGISTER_TMP(ScaledDWF, TScaledDWF<FIMPL>, MAction);
+MODULE_REGISTER_TMP(ScaledDWFF, TScaledDWF<FIMPLF>, MAction);
 
 /******************************************************************************
  *                      TScaledDWF implementation                             *
@@ -110,12 +111,11 @@ void TScaledDWF<FImpl>::setup(void)
     LOG(Message) << "Fermion boundary conditions: " << par().boundary
                  << std::endl;
 
-    env().createGrid(par().Ls);
-    auto &U    = envGet(LatticeGaugeField, par().gauge);
-    auto &g4   = *env().getGrid();
-    auto &grb4 = *env().getRbGrid();
-    auto &g5   = *env().getGrid(par().Ls);
-    auto &grb5 = *env().getRbGrid(par().Ls);
+    auto &U    = envGet(GaugeField, par().gauge);
+    auto &g4   = *envGetGrid(FermionField);
+    auto &grb4 = *envGetRbGrid(FermionField);
+    auto &g5   = *envGetGrid(FermionField, par().Ls);
+    auto &grb5 = *envGetRbGrid(FermionField, par().Ls);
     std::vector<Complex> boundary = strToVec<Complex>(par().boundary);
     typename MobiusFermion<FImpl>::ImplParams implParams(boundary);
     envCreateDerived(FMat, ScaledShamirFermion<FImpl>, getName(), par().Ls, U, g5,
diff --git a/Hadrons/Modules/MAction/Wilson.cc b/Hadrons/Modules/MAction/Wilson.cc
index faceb76e..4ce3e7ef 100644
--- a/Hadrons/Modules/MAction/Wilson.cc
+++ b/Hadrons/Modules/MAction/Wilson.cc
@@ -32,4 +32,4 @@ using namespace Hadrons;
 using namespace MAction;
 
 template class Grid::Hadrons::MAction::TWilson<FIMPL>;
-
+template class Grid::Hadrons::MAction::TWilson<FIMPLF>;
diff --git a/Hadrons/Modules/MAction/Wilson.hpp b/Hadrons/Modules/MAction/Wilson.hpp
index cccd648f..a9327c2f 100644
--- a/Hadrons/Modules/MAction/Wilson.hpp
+++ b/Hadrons/Modules/MAction/Wilson.hpp
@@ -71,6 +71,7 @@ protected:
 };
 
 MODULE_REGISTER_TMP(Wilson, TWilson<FIMPL>, MAction);
+MODULE_REGISTER_TMP(WilsonF, TWilson<FIMPLF>, MAction);
 
 /******************************************************************************
  *                     TWilson template implementation                        *
@@ -107,9 +108,9 @@ void TWilson<FImpl>::setup(void)
     LOG(Message) << "Fermion boundary conditions: " << par().boundary
                  << std::endl;
                  
-    auto &U      = envGet(LatticeGaugeField, par().gauge);
-    auto &grid   = *env().getGrid();
-    auto &gridRb = *env().getRbGrid();
+    auto &U      = envGet(GaugeField, par().gauge);
+    auto &grid   = *envGetGrid(FermionField);
+    auto &gridRb = *envGetRbGrid(FermionField);
     std::vector<Complex> boundary = strToVec<Complex>(par().boundary);
     typename WilsonFermion<FImpl>::ImplParams implParams(boundary);
     envCreateDerived(FMat, WilsonFermion<FImpl>, getName(), 1, U, grid, gridRb,
diff --git a/Hadrons/Modules/MAction/WilsonClover.cc b/Hadrons/Modules/MAction/WilsonClover.cc
index 601388aa..2c5c0e66 100644
--- a/Hadrons/Modules/MAction/WilsonClover.cc
+++ b/Hadrons/Modules/MAction/WilsonClover.cc
@@ -32,4 +32,4 @@ using namespace Hadrons;
 using namespace MAction;
 
 template class Grid::Hadrons::MAction::TWilsonClover<FIMPL>;
-
+template class Grid::Hadrons::MAction::TWilsonClover<FIMPLF>;
diff --git a/Hadrons/Modules/MAction/WilsonClover.hpp b/Hadrons/Modules/MAction/WilsonClover.hpp
index 48f4f44e..349abe84 100644
--- a/Hadrons/Modules/MAction/WilsonClover.hpp
+++ b/Hadrons/Modules/MAction/WilsonClover.hpp
@@ -75,9 +75,10 @@ public:
 };
 
 MODULE_REGISTER_TMP(WilsonClover, TWilsonClover<FIMPL>, MAction);
+MODULE_REGISTER_TMP(WilsonCloverF, TWilsonClover<FIMPLF>, MAction);
 
 /******************************************************************************
- *                     TWilsonClover template implementation                        *
+ *                    TWilsonClover template implementation                   *
  ******************************************************************************/
 // constructor /////////////////////////////////////////////////////////////////
 template <typename FImpl>
@@ -113,16 +114,14 @@ void TWilsonClover<FImpl>::setup(void)
     LOG(Message) << "Clover term csw_r: " << par().csw_r
                  << " csw_t: " << par().csw_t
                  << std::endl;
-    auto &U      = envGet(LatticeGaugeField, par().gauge);
-    auto &grid   = *env().getGrid();
-    auto &gridRb = *env().getRbGrid();
+    auto &U      = envGet(GaugeField, par().gauge);
+    auto &grid   = *envGetGrid(FermionField);
+    auto &gridRb = *envGetRbGrid(FermionField);
     std::vector<Complex> boundary = strToVec<Complex>(par().boundary);
     typename WilsonCloverFermion<FImpl>::ImplParams implParams(boundary);
-    envCreateDerived(FMat, WilsonCloverFermion<FImpl>, getName(), 1, U, grid, gridRb, par().mass,
-						  par().csw_r,
-						  par().csw_t,
-					      par().clover_anisotropy,
-						  implParams); 
+    envCreateDerived(FMat, WilsonCloverFermion<FImpl>, getName(), 1, U, grid,
+                     gridRb, par().mass, par().csw_r, par().csw_t, 
+                     par().clover_anisotropy, implParams); 
 }
 
 // execution ///////////////////////////////////////////////////////////////////
diff --git a/Hadrons/Modules/MAction/ZMobiusDWF.cc b/Hadrons/Modules/MAction/ZMobiusDWF.cc
index 0eb06130..ef8e4799 100644
--- a/Hadrons/Modules/MAction/ZMobiusDWF.cc
+++ b/Hadrons/Modules/MAction/ZMobiusDWF.cc
@@ -32,4 +32,4 @@ using namespace Hadrons;
 using namespace MAction;
 
 template class Grid::Hadrons::MAction::TZMobiusDWF<ZFIMPL>;
-
+template class Grid::Hadrons::MAction::TZMobiusDWF<ZFIMPLF>;
diff --git a/Hadrons/Modules/MAction/ZMobiusDWF.hpp b/Hadrons/Modules/MAction/ZMobiusDWF.hpp
index 6a02a1ec..f7959127 100644
--- a/Hadrons/Modules/MAction/ZMobiusDWF.hpp
+++ b/Hadrons/Modules/MAction/ZMobiusDWF.hpp
@@ -73,6 +73,7 @@ public:
 };
 
 MODULE_REGISTER_TMP(ZMobiusDWF, TZMobiusDWF<ZFIMPL>, MAction);
+MODULE_REGISTER_TMP(ZMobiusDWFF, TZMobiusDWF<ZFIMPLF>, MAction);
 
 /******************************************************************************
  *                     TZMobiusDWF implementation                             *
@@ -118,11 +119,11 @@ void TZMobiusDWF<FImpl>::setup(void)
                  << std::endl;
 
     env().createGrid(par().Ls);
-    auto &U    = envGet(LatticeGaugeField, par().gauge);
-    auto &g4   = *env().getGrid();
-    auto &grb4 = *env().getRbGrid();
-    auto &g5   = *env().getGrid(par().Ls);
-    auto &grb5 = *env().getRbGrid(par().Ls);
+    auto &U    = envGet(GaugeField, par().gauge);
+    auto &g4   = *envGetGrid(FermionField);
+    auto &grb4 = *envGetRbGrid(FermionField);
+    auto &g5   = *envGetGrid(FermionField, par().Ls);
+    auto &grb5 = *envGetRbGrid(FermionField, par().Ls);
     auto omega = par().omega;
     std::vector<Complex> boundary = strToVec<Complex>(par().boundary);
     typename ZMobiusFermion<FImpl>::ImplParams implParams(boundary);
diff --git a/Hadrons/Modules/MContraction/A2AMesonField.hpp b/Hadrons/Modules/MContraction/A2AMesonField.hpp
index 1a922b49..9e07ec6c 100644
--- a/Hadrons/Modules/MContraction/A2AMesonField.hpp
+++ b/Hadrons/Modules/MContraction/A2AMesonField.hpp
@@ -187,9 +187,9 @@ void TA2AMesonField<FImpl>::setup(void)
         mom_.push_back(p);
     }
     
-    envCache(std::vector<LatticeComplex>, momphName_, 1, 
-             par().mom.size(), env().getGrid());
-    envTmpLat(LatticeComplex, "coor");
+    envCache(std::vector<ComplexField>, momphName_, 1, 
+             par().mom.size(), envGetGrid(ComplexField));
+    envTmpLat(ComplexField, "coor");
     // preallocate memory for meson field block
     auto tgp = env().getDim().back()*gamma_.size()*mom_.size();
 
@@ -231,7 +231,7 @@ void TA2AMesonField<FImpl>::execute(void)
     ///////////////////////////////////////////////
     // Momentum setup
     ///////////////////////////////////////////////
-    auto &ph = envGet(std::vector<LatticeComplex>, momphName_);
+    auto &ph = envGet(std::vector<ComplexField>, momphName_);
 
     if (!hasPhase_)
     {
@@ -241,7 +241,7 @@ void TA2AMesonField<FImpl>::execute(void)
             Complex           i(0.0,1.0);
             std::vector<Real> p;
 
-            envGetTmp(LatticeComplex, coor);
+            envGetTmp(ComplexField, coor);
             ph[j] = zero;
             for(unsigned int mu = 0; mu < mom_[j].size(); mu++)
             {
diff --git a/Hadrons/Modules/MNoise/TimeDilutedSpinColorDiagonal.hpp b/Hadrons/Modules/MNoise/TimeDilutedSpinColorDiagonal.hpp
index 7decb142..da634d6c 100644
--- a/Hadrons/Modules/MNoise/TimeDilutedSpinColorDiagonal.hpp
+++ b/Hadrons/Modules/MNoise/TimeDilutedSpinColorDiagonal.hpp
@@ -43,6 +43,8 @@ BEGIN_MODULE_NAMESPACE(MNoise)
 template <typename FImpl>
 class TTimeDilutedSpinColorDiagonal: public Module<NoPar>
 {
+public:
+    FERM_TYPE_ALIASES(FImpl,);
 public:
     // constructor
     TTimeDilutedSpinColorDiagonal(const std::string name);
@@ -92,7 +94,7 @@ void TTimeDilutedSpinColorDiagonal<FImpl>::setup(void)
 {
     envCreateDerived(DilutedNoise<FImpl>, 
                      TimeDilutedSpinColorDiagonalNoise<FImpl>,
-                     getName(), 1, env().getGrid());
+                     getName(), 1, envGetGrid(FermionField));
 }
 
 // execution ///////////////////////////////////////////////////////////////////
diff --git a/Hadrons/Modules/MScalarSUN/StochFreeField.hpp b/Hadrons/Modules/MScalarSUN/StochFreeField.hpp
index 65b6bf21..141eeafd 100644
--- a/Hadrons/Modules/MScalarSUN/StochFreeField.hpp
+++ b/Hadrons/Modules/MScalarSUN/StochFreeField.hpp
@@ -132,7 +132,7 @@ void TStochFreeField<SImpl>::execute(void)
     auto    &w                = envGet(ComplexField, "_" + getName() + "_weight");
     auto    &rng              = rng4d();
     double  trphi2;
-    FFT     fft(env().getGrid());
+    FFT     fft(envGetGrid(Field));
     Integer vol;
 
     vol = 1;
@@ -169,11 +169,6 @@ void TStochFreeField<SImpl>::execute(void)
     phi = 0.5*(phi - adj(phi));
     trphi2 = -TensorRemove(sum(trace(phi*phi))).real()/vol;
     LOG(Message) << "tr(phi^2)= " << trphi2 << std::endl;
-
-    // ComplexField phi2(env().getGrid());
-
-    // phi2=trace(phi*phi);
-    // std::cout << phi2 << std::endl;
 }
 
 END_MODULE_NAMESPACE
diff --git a/Hadrons/Modules/MScalarSUN/TimeMomProbe.hpp b/Hadrons/Modules/MScalarSUN/TimeMomProbe.hpp
index 2b31fbe9..a73da8de 100644
--- a/Hadrons/Modules/MScalarSUN/TimeMomProbe.hpp
+++ b/Hadrons/Modules/MScalarSUN/TimeMomProbe.hpp
@@ -146,7 +146,7 @@ void TTimeMomProbe<SImpl>::execute(void)
     std::set<std::vector<int>>                   timeMomSet;
     std::vector<std::vector<std::vector<int>>>   timeMom;
     std::vector<std::vector<int>>                transferMom;
-    FFT                                          fft(env().getGrid());
+    FFT                                          fft(envGetGrid(Field));
     std::vector<int>                             dMask(nd, 1);
     std::vector<TimeMomProbeResult>              result;
     std::map<std::string, std::vector<SlicedOp>> slicedOp;
diff --git a/Hadrons/Modules/MScalarSUN/TrKinetic.hpp b/Hadrons/Modules/MScalarSUN/TrKinetic.hpp
index 0fd931d6..8c82075f 100644
--- a/Hadrons/Modules/MScalarSUN/TrKinetic.hpp
+++ b/Hadrons/Modules/MScalarSUN/TrKinetic.hpp
@@ -126,7 +126,7 @@ void TTrKinetic<SImpl>::setup(void)
         envCreateLat(ComplexField, varName(getName(), mu, nu));
     }
     envCreateLat(ComplexField, varName(getName(), "sum"));
-    envTmp(std::vector<Field>, "der", 1, env().getNd(), env().getGrid());
+    envTmp(std::vector<Field>, "der", 1, env().getNd(), envGetGrid(Field));
 }
 
 // execution ///////////////////////////////////////////////////////////////////
diff --git a/Hadrons/Modules/MScalarSUN/TwoPoint.hpp b/Hadrons/Modules/MScalarSUN/TwoPoint.hpp
index 5cb7e867..df0d2cba 100644
--- a/Hadrons/Modules/MScalarSUN/TwoPoint.hpp
+++ b/Hadrons/Modules/MScalarSUN/TwoPoint.hpp
@@ -168,7 +168,7 @@ void TTwoPoint<SImpl>::execute(void)
     std::set<std::string>                        ops;
     std::vector<TwoPointResult>                  result;
     std::map<std::string, std::vector<SlicedOp>> slicedOp;
-    FFT                                          fft(env().getGrid());
+    FFT                                          fft(envGetGrid(Field));
     TComplex                                     buf;
 
     envGetTmp(ComplexField, ftBuf);
diff --git a/Hadrons/Modules/MScalarSUN/TwoPointNPR.hpp b/Hadrons/Modules/MScalarSUN/TwoPointNPR.hpp
index e13ca8b4..6a18f6cb 100644
--- a/Hadrons/Modules/MScalarSUN/TwoPointNPR.hpp
+++ b/Hadrons/Modules/MScalarSUN/TwoPointNPR.hpp
@@ -136,7 +136,7 @@ void TTwoPointNPR<SImpl>::execute(void)
     const unsigned int             nd   = env().getNd();
     const unsigned int             nl   = env().getDim(0);
     const Real                     invV = 1./env().getVolume();
-    FFT                            fft(env().getGrid());
+    FFT                            fft(envGetGrid(Field));
     std::vector<TwoPointNPRResult> result;
     TwoPointNPRResult              twoPtp1, twoPtp2, twoPtDisc;
     auto                           &phi    = envGet(Field, par().field);
diff --git a/Hadrons/Modules/MSink/Point.hpp b/Hadrons/Modules/MSink/Point.hpp
index f7970346..02189296 100644
--- a/Hadrons/Modules/MSink/Point.hpp
+++ b/Hadrons/Modules/MSink/Point.hpp
@@ -132,7 +132,7 @@ void TPoint<FImpl>::execute(void)
         for(unsigned int mu = 0; mu < p.size(); mu++)
         {
             LatticeCoordinate(coor, mu);
-            ph = ph + (p[mu]/env().getGrid()->_fdimensions[mu])*coor;
+            ph = ph + (p[mu]/env().getDim(mu))*coor;
         }
         ph = exp((Real)(2*M_PI)*i*ph);
         hasPhase_ = true;
diff --git a/Hadrons/Modules/MSolver/A2AVectors.hpp b/Hadrons/Modules/MSolver/A2AVectors.hpp
index 1de00142..608e05b9 100644
--- a/Hadrons/Modules/MSolver/A2AVectors.hpp
+++ b/Hadrons/Modules/MSolver/A2AVectors.hpp
@@ -135,9 +135,9 @@ void TA2AVectors<FImpl, Pack>::setup(void)
         Nl_ = epack.evec.size();
     }
     envCreate(std::vector<FermionField>, getName() + "_v", 1, 
-              Nl_ + noise.size(), FermionField(env().getGrid()));
+              Nl_ + noise.size(), envGetGrid(FermionField));
     envCreate(std::vector<FermionField>, getName() + "_w", 1, 
-              Nl_ + noise.size(), FermionField(env().getGrid()));
+              Nl_ + noise.size(), envGetGrid(FermionField));
     if (Ls > 1)
     {
         envTmpLat(FermionField, "f5", Ls);
diff --git a/Hadrons/Modules/MSolver/MixedPrecisionRBPrecCG.hpp b/Hadrons/Modules/MSolver/MixedPrecisionRBPrecCG.hpp
index 5be1e3ce..67e1be19 100644
--- a/Hadrons/Modules/MSolver/MixedPrecisionRBPrecCG.hpp
+++ b/Hadrons/Modules/MSolver/MixedPrecisionRBPrecCG.hpp
@@ -170,7 +170,7 @@ void TMixedPrecisionRBPrecCG<FImplInner, FImplOuter, nBasis>
             MixedPrecisionConjugateGradient<FermionFieldOuter, FermionFieldInner> 
                 mpcg(par().residual, par().maxInnerIteration, 
                      par().maxOuterIteration, 
-                     env().template getGrid<VTypeInner>(Ls),
+                     env().template getRbGrid<VTypeInner>(Ls),
                      simat, somat);
             OperatorFunctionWrapper<FermionFieldOuter> wmpcg(mpcg);
             HADRONS_DEFAULT_SCHUR_SOLVE<FermionFieldOuter> schurSolver(wmpcg);
diff --git a/Hadrons/Modules/MSource/SeqConserved.hpp b/Hadrons/Modules/MSource/SeqConserved.hpp
index 48a811d2..d34e427e 100644
--- a/Hadrons/Modules/MSource/SeqConserved.hpp
+++ b/Hadrons/Modules/MSource/SeqConserved.hpp
@@ -187,7 +187,7 @@ void TSeqConserved<FImpl>::execute(void)
         for(unsigned int mu = 0; mu < env().getNd(); mu++)
         {
             LatticeCoordinate(coor, mu);
-            mom_phase = mom_phase + (mom[mu]/env().getGrid()->_fdimensions[mu])*coor;
+            mom_phase = mom_phase + (mom[mu]/env().getDim(mu))*coor;
         }
         mom_phase = exp((Real)(2*M_PI)*i*mom_phase);
         SeqhasPhase_ = true;
diff --git a/Hadrons/Modules/MSource/SeqGamma.hpp b/Hadrons/Modules/MSource/SeqGamma.hpp
index 59fdb7ae..b9fb9b1b 100644
--- a/Hadrons/Modules/MSource/SeqGamma.hpp
+++ b/Hadrons/Modules/MSource/SeqGamma.hpp
@@ -125,7 +125,7 @@ template <typename FImpl>
 void TSeqGamma<FImpl>::setup(void)
 {
     envCreateLat(PropagatorField, getName());
-    envCache(Lattice<iScalar<vInteger>>, tName_, 1, env().getGrid());
+    envCache(Lattice<iScalar<vInteger>>, tName_, 1, envGetGrid(LatticeComplex));
     envCacheLat(LatticeComplex, momphName_);
     envTmpLat(LatticeComplex, "coor");
 }
@@ -162,7 +162,7 @@ void TSeqGamma<FImpl>::execute(void)
         for(unsigned int mu = 0; mu < env().getNd(); mu++)
         {
             LatticeCoordinate(coor, mu);
-            ph = ph + (p[mu]/env().getGrid()->_fdimensions[mu])*coor;
+            ph = ph + (p[mu]/env().getDim(mu))*coor;
         }
         ph = exp((Real)(2*M_PI)*i*ph);
         LatticeCoordinate(t, Tp);
diff --git a/Hadrons/Modules/MSource/Wall.hpp b/Hadrons/Modules/MSource/Wall.hpp
index c4b99448..3dfbc199 100644
--- a/Hadrons/Modules/MSource/Wall.hpp
+++ b/Hadrons/Modules/MSource/Wall.hpp
@@ -143,7 +143,7 @@ void TWall<FImpl>::execute(void)
         for(unsigned int mu = 0; mu < env().getNd(); mu++)
         {
             LatticeCoordinate(coor, mu);
-            ph = ph + (p[mu]/env().getGrid()->_fdimensions[mu])*coor;
+            ph = ph + (p[mu]/env().getDim(mu))*coor;
         }
         ph = exp((Real)(2*M_PI)*i*ph);
         LatticeCoordinate(t, Tp);
diff --git a/Hadrons/Modules/MSource/Z2.hpp b/Hadrons/Modules/MSource/Z2.hpp
index ec57fbd4..e16114e0 100644
--- a/Hadrons/Modules/MSource/Z2.hpp
+++ b/Hadrons/Modules/MSource/Z2.hpp
@@ -120,7 +120,7 @@ template <typename FImpl>
 void TZ2<FImpl>::setup(void)
 {
     envCreateLat(PropagatorField, getName());
-    envCache(Lattice<iScalar<vInteger>>, tName_, 1, env().getGrid());
+    envCache(Lattice<iScalar<vInteger>>, tName_, 1, envGetGrid(LatticeComplex));
     envTmpLat(LatticeComplex, "eta");
 }
 
diff --git a/Hadrons/Modules/MUtilities/RandomVectors.hpp b/Hadrons/Modules/MUtilities/RandomVectors.hpp
index 2444b850..65126eb7 100644
--- a/Hadrons/Modules/MUtilities/RandomVectors.hpp
+++ b/Hadrons/Modules/MUtilities/RandomVectors.hpp
@@ -99,11 +99,11 @@ void TRandomVectors<Field>::setup(void)
     if (par().Ls > 1)
     {
         envCreate(std::vector<Field>, getName(), par().Ls, par().size, 
-                  env().getGrid(par().Ls));
+                  envGetGrid(Field, par().Ls));
     }
     else
     {
-        envCreate(std::vector<Field>, getName(), 1, par().size, env().getGrid());
+        envCreate(std::vector<Field>, getName(), 1, par().size, envGetGrid(Field));
     }
 }
 

From 2458a11d1da4c06254d242de4550a178287b4bb4 Mon Sep 17 00:00:00 2001
From: Antonin Portelli <antonin.portelli@me.com>
Date: Sat, 29 Sep 2018 17:59:09 +0100
Subject: [PATCH 14/39] Hadrons: precision cast module

---
 Hadrons/Modules.hpp                          |  28 +----
 Hadrons/Modules/MUtilities/PrecisionCast.cc  |  35 ++++++
 Hadrons/Modules/MUtilities/PrecisionCast.hpp | 124 +++++++++++++++++++
 Hadrons/modules.inc                          |   2 +
 4 files changed, 162 insertions(+), 27 deletions(-)
 create mode 100644 Hadrons/Modules/MUtilities/PrecisionCast.cc
 create mode 100644 Hadrons/Modules/MUtilities/PrecisionCast.hpp

diff --git a/Hadrons/Modules.hpp b/Hadrons/Modules.hpp
index bb3a9b87..5dcb2483 100644
--- a/Hadrons/Modules.hpp
+++ b/Hadrons/Modules.hpp
@@ -1,30 +1,3 @@
-/*************************************************************************************
-
-Grid physics library, www.github.com/paboyle/Grid 
-
-Source file: Hadrons/Modules.hpp
-
-Copyright (C) 2015-2018
-
-Author: Antonin Portelli <antonin.portelli@me.com>
-
-This program is free software; you can redistribute it and/or modify
-it under the terms of the GNU General Public License as published by
-the Free Software Foundation; either version 2 of the License, or
-(at your option) any later version.
-
-This program is distributed in the hope that it will be useful,
-but WITHOUT ANY WARRANTY; without even the implied warranty of
-MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
-GNU General Public License for more details.
-
-You should have received a copy of the GNU General Public License along
-with this program; if not, write to the Free Software Foundation, Inc.,
-51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
-
-See the full license in the file "LICENSE" in the top level distribution directory
-*************************************************************************************/
-/*  END LEGAL */
 #include <Hadrons/Modules/MContraction/Baryon.hpp>
 #include <Hadrons/Modules/MContraction/A2AMesonField.hpp>
 #include <Hadrons/Modules/MContraction/A2AMesonFieldKernels.hpp>
@@ -57,6 +30,7 @@ See the full license in the file "LICENSE" in the top level distribution directo
 #include <Hadrons/Modules/MGauge/FundtoHirep.hpp>
 #include <Hadrons/Modules/MGauge/StochEm.hpp>
 #include <Hadrons/Modules/MNoise/TimeDilutedSpinColorDiagonal.hpp>
+#include <Hadrons/Modules/MUtilities/PrecisionCast.hpp>
 #include <Hadrons/Modules/MUtilities/RandomVectors.hpp>
 #include <Hadrons/Modules/MUtilities/TestSeqGamma.hpp>
 #include <Hadrons/Modules/MUtilities/TestSeqConserved.hpp>
diff --git a/Hadrons/Modules/MUtilities/PrecisionCast.cc b/Hadrons/Modules/MUtilities/PrecisionCast.cc
new file mode 100644
index 00000000..556ededc
--- /dev/null
+++ b/Hadrons/Modules/MUtilities/PrecisionCast.cc
@@ -0,0 +1,35 @@
+/*************************************************************************************
+
+Grid physics library, www.github.com/paboyle/Grid 
+
+Source file: Hadrons/Modules/MUtilities/PrecisionCast.cc
+
+Copyright (C) 2015-2018
+
+Author: Antonin Portelli <antonin.portelli@me.com>
+
+This program is free software; you can redistribute it and/or modify
+it under the terms of the GNU General Public License as published by
+the Free Software Foundation; either version 2 of the License, or
+(at your option) any later version.
+
+This program is distributed in the hope that it will be useful,
+but WITHOUT ANY WARRANTY; without even the implied warranty of
+MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+GNU General Public License for more details.
+
+You should have received a copy of the GNU General Public License along
+with this program; if not, write to the Free Software Foundation, Inc.,
+51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
+
+See the full license in the file "LICENSE" in the top level distribution directory
+*************************************************************************************/
+/*  END LEGAL */
+#include <Hadrons/Modules/MUtilities/PrecisionCast.hpp>
+
+using namespace Grid;
+using namespace Hadrons;
+using namespace MUtilities;
+
+template class Grid::Hadrons::MUtilities::TPrecisionCast<GIMPLD::GaugeField, GIMPLF::GaugeField>;
+template class Grid::Hadrons::MUtilities::TPrecisionCast<FIMPLD::FermionField, FIMPLF::FermionField>;
diff --git a/Hadrons/Modules/MUtilities/PrecisionCast.hpp b/Hadrons/Modules/MUtilities/PrecisionCast.hpp
new file mode 100644
index 00000000..39a5ff73
--- /dev/null
+++ b/Hadrons/Modules/MUtilities/PrecisionCast.hpp
@@ -0,0 +1,124 @@
+/*************************************************************************************
+
+Grid physics library, www.github.com/paboyle/Grid 
+
+Source file: Hadrons/Modules/MUtilities/PrecisionCast.hpp
+
+Copyright (C) 2015-2018
+
+Author: Antonin Portelli <antonin.portelli@me.com>
+
+This program is free software; you can redistribute it and/or modify
+it under the terms of the GNU General Public License as published by
+the Free Software Foundation; either version 2 of the License, or
+(at your option) any later version.
+
+This program is distributed in the hope that it will be useful,
+but WITHOUT ANY WARRANTY; without even the implied warranty of
+MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+GNU General Public License for more details.
+
+You should have received a copy of the GNU General Public License along
+with this program; if not, write to the Free Software Foundation, Inc.,
+51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
+
+See the full license in the file "LICENSE" in the top level distribution directory
+*************************************************************************************/
+/*  END LEGAL */
+#ifndef Hadrons_MUtilities_PrecisionCast_hpp_
+#define Hadrons_MUtilities_PrecisionCast_hpp_
+
+#include <Hadrons/Global.hpp>
+#include <Hadrons/Module.hpp>
+#include <Hadrons/ModuleFactory.hpp>
+
+BEGIN_HADRONS_NAMESPACE
+
+/******************************************************************************
+ *                          Precision cast module                             *
+ ******************************************************************************/
+BEGIN_MODULE_NAMESPACE(MUtilities)
+
+class PrecisionCastPar: Serializable
+{
+public:
+    GRID_SERIALIZABLE_CLASS_MEMBERS(PrecisionCastPar,
+                                    std::string, field);
+};
+
+template <typename FieldIn, typename FieldOut>
+class TPrecisionCast: public Module<PrecisionCastPar>
+{
+public:
+    // constructor
+    TPrecisionCast(const std::string name);
+    // destructor
+    virtual ~TPrecisionCast(void) {};
+    // dependency relation
+    virtual std::vector<std::string> getInput(void);
+    virtual std::vector<std::string> getOutput(void);
+    // setup
+    virtual void setup(void);
+    // execution
+    virtual void execute(void);
+};
+
+MODULE_REGISTER_TMP(GaugeSinglePrecisionCast, 
+                    ARG(TPrecisionCast<GIMPLD::GaugeField, GIMPLF::GaugeField>),
+                    MUtilities);
+MODULE_REGISTER_TMP(FermionSinglePrecisionCast, 
+                    ARG(TPrecisionCast<FIMPLD::FermionField, FIMPLF::FermionField>),
+                    MUtilities);
+
+/******************************************************************************
+ *                     TPrecisionCast implementation                          *
+ ******************************************************************************/
+// constructor /////////////////////////////////////////////////////////////////
+template <typename FieldIn, typename FieldOut>
+TPrecisionCast<FieldIn, FieldOut>::TPrecisionCast(const std::string name)
+: Module<PrecisionCastPar>(name)
+{}
+
+// dependencies/products ///////////////////////////////////////////////////////
+template <typename FieldIn, typename FieldOut>
+std::vector<std::string> TPrecisionCast<FieldIn, FieldOut>::getInput(void)
+{
+    std::vector<std::string> in = {par().field};
+    
+    return in;
+}
+
+template <typename FieldIn, typename FieldOut>
+std::vector<std::string> TPrecisionCast<FieldIn, FieldOut>::getOutput(void)
+{
+    std::vector<std::string> out = {getName()};
+    
+    return out;
+}
+
+// setup ///////////////////////////////////////////////////////////////////////
+template <typename FieldIn, typename FieldOut>
+void TPrecisionCast<FieldIn, FieldOut>::setup(void)
+{
+    envCreateLat(FieldOut, getName());
+}
+
+// execution ///////////////////////////////////////////////////////////////////
+template <typename FieldIn, typename FieldOut>
+void TPrecisionCast<FieldIn, FieldOut>::execute(void)
+{
+    LOG(Message) << "Casting field '" << par().field << "'" << std::endl;
+    LOG(Message) << "In  type: " << typeName<FieldIn>() << std::endl;
+    LOG(Message) << "Out type: " << typeName<FieldOut>() << std::endl;
+
+    auto &in  = envGet(FieldIn,  par().field);
+    auto &out = envGet(FieldOut, getName());
+
+    precisionChange(out, in);
+}
+
+END_MODULE_NAMESPACE
+
+END_HADRONS_NAMESPACE
+
+#endif // Hadrons_MUtilities_PrecisionCast_hpp_
diff --git a/Hadrons/modules.inc b/Hadrons/modules.inc
index 7a7645f5..69637a68 100644
--- a/Hadrons/modules.inc
+++ b/Hadrons/modules.inc
@@ -30,6 +30,7 @@ modules_cc =\
   Modules/MNoise/TimeDilutedSpinColorDiagonal.cc \
   Modules/MUtilities/RandomVectors.cc \
   Modules/MUtilities/TestSeqGamma.cc \
+  Modules/MUtilities/PrecisionCast.cc \
   Modules/MUtilities/TestSeqConserved.cc \
   Modules/MLoop/NoiseLoop.cc \
   Modules/MScalar/FreeProp.cc \
@@ -93,6 +94,7 @@ modules_hpp =\
   Modules/MGauge/FundtoHirep.hpp \
   Modules/MGauge/StochEm.hpp \
   Modules/MNoise/TimeDilutedSpinColorDiagonal.hpp \
+  Modules/MUtilities/PrecisionCast.hpp \
   Modules/MUtilities/RandomVectors.hpp \
   Modules/MUtilities/TestSeqGamma.hpp \
   Modules/MUtilities/TestSeqConserved.hpp \

From 6448fe712196729e6ead92ea2ba88aeca34ddc46 Mon Sep 17 00:00:00 2001
From: Antonin Portelli <antonin.portelli@me.com>
Date: Mon, 1 Oct 2018 19:32:50 +0100
Subject: [PATCH 15/39] More flexible XML control in Lime files

---
 Grid/parallelIO/IldgIO.h    | 17 ++++++++++++-----
 Grid/serialisation/XmlIO.cc | 37 +++++++++++++++++++++++++++----------
 Grid/serialisation/XmlIO.h  |  6 ++++--
 3 files changed, 43 insertions(+), 17 deletions(-)

diff --git a/Grid/parallelIO/IldgIO.h b/Grid/parallelIO/IldgIO.h
index 3cfc1349..16951a26 100644
--- a/Grid/parallelIO/IldgIO.h
+++ b/Grid/parallelIO/IldgIO.h
@@ -250,8 +250,7 @@ class GridLimeReader : public BinaryIO {
   ////////////////////////////////////////////
   // Read a generic serialisable object
   ////////////////////////////////////////////
-  template<class serialisable_object>
-  void readLimeObject(serialisable_object &object,std::string object_name,std::string record_name)
+  void readLimeObject(std::string &xmlstring,std::string record_name)
   {
     // should this be a do while; can we miss a first record??
     while ( limeReaderNextRecord(LimeR) == LIME_SUCCESS ) { 
@@ -266,15 +265,23 @@ class GridLimeReader : public BinaryIO {
 	limeReaderReadData((void *)&xmlc[0], &nbytes, LimeR);    
 	//	std::cout << GridLogMessage<< " readLimeObject matches XML " << &xmlc[0] <<std::endl;
 
-  std::string xmlstring(&xmlc[0]);
-	XmlReader RD(xmlstring, true, "");
-	read(RD,object_name,object);
+   xmlstring = std::string(&xmlc[0]);
 	return;
       }
 
     }  
     assert(0);
   }
+
+  template<class serialisable_object>
+  void readLimeObject(serialisable_object &object,std::string object_name,std::string record_name)
+  {
+    std::string xmlstring;
+
+    readLimeObject(xmlstring, record_name);
+	  XmlReader RD(xmlstring, true, "");
+	  read(RD,object_name,object);
+  }
 };
 
 class GridLimeWriter : public BinaryIO 
diff --git a/Grid/serialisation/XmlIO.cc b/Grid/serialisation/XmlIO.cc
index e793c2f9..96f07f34 100644
--- a/Grid/serialisation/XmlIO.cc
+++ b/Grid/serialisation/XmlIO.cc
@@ -121,17 +121,26 @@ XmlReader::XmlReader(const std::string &s,  const bool isBuffer,
   }
 }
 
+#define XML_SAFE_NODE(expr)\
+if (expr)\
+{\
+  node_ = expr;\
+  return true;\
+}\
+else\
+{\
+  return false;\
+}
+
 bool XmlReader::push(const std::string &s)
 {
-  if (node_.child(s.c_str()))
+  if (s.empty())
   {
-    node_ = node_.child(s.c_str());
-
-    return true;
+    XML_SAFE_NODE(node_.first_child());
   }
   else
   {
-    return false;
+    XML_SAFE_NODE(node_.child(s.c_str()));
   }
 }
 
@@ -142,18 +151,26 @@ void XmlReader::pop(void)
 
 bool XmlReader::nextElement(const std::string &s)
 {
-  if (node_.next_sibling(s.c_str()))
+  if (s.empty())
   {
-    node_ = node_.next_sibling(s.c_str());
-    
-    return true;
+    XML_SAFE_NODE(node_.next_sibling());
   }
   else
   {
-    return false;
+    XML_SAFE_NODE(node_.next_sibling(s.c_str()));
   }
 }
 
+void XmlReader::readCurrentSubtree(std::string &s)
+{
+  std::ostringstream oss; 
+  pugi::xml_document doc;
+
+  doc.append_copy(node_);
+  doc.save(oss, indent_.c_str(), pugi::format_default | pugi::format_no_declaration);
+  s = oss.str();
+}
+
 template <>
 void XmlReader::readDefault(const std::string &s, std::string &output)
 {
diff --git a/Grid/serialisation/XmlIO.h b/Grid/serialisation/XmlIO.h
index 17ccb32e..a26a33c5 100644
--- a/Grid/serialisation/XmlIO.h
+++ b/Grid/serialisation/XmlIO.h
@@ -72,16 +72,18 @@ namespace Grid
     XmlReader(const std::string &fileName, const bool isBuffer = false, 
               std::string toplev = std::string("grid") );
     virtual ~XmlReader(void) = default;
-    bool push(const std::string &s);
+    bool push(const std::string &s = "");
     void pop(void);
-    bool nextElement(const std::string &s);
+    bool nextElement(const std::string &s = "");
     template <typename U>
     void readDefault(const std::string &s, U &output);
     template <typename U>
     void readDefault(const std::string &s, std::vector<U> &output);
+    void readCurrentSubtree(std::string &s);
   private:
     void checkParse(const pugi::xml_parse_result &result, const std::string name);
   private:
+    const std::string  indent_{"  "};
     pugi::xml_document doc_;
     pugi::xml_node     node_;
     std::string        fileName_;

From 21bba95909a320a9477452d761fbe58e1c894418 Mon Sep 17 00:00:00 2001
From: Antonin Portelli <antonin.portelli@me.com>
Date: Mon, 1 Oct 2018 19:33:45 +0100
Subject: [PATCH 16/39] Hadrons: eigenpack metadata is no ignored anymore when
 reading

---
 Hadrons/EigenPack.hpp | 18 +++++++++++++++---
 1 file changed, 15 insertions(+), 3 deletions(-)

diff --git a/Hadrons/EigenPack.hpp b/Hadrons/EigenPack.hpp
index 49fecc34..3e0a6fb4 100644
--- a/Hadrons/EigenPack.hpp
+++ b/Hadrons/EigenPack.hpp
@@ -122,10 +122,16 @@ protected:
     void basicRead(std::vector<T> &evec, std::vector<RealD> &eval,
                    const std::string filename, const unsigned int size)
     {
-        ScidacReader    binReader;
+        ScidacReader binReader;
+        std::string  recordXml;
 
         binReader.open(filename);
-        binReader.skipPastObjectRecord(SCIDAC_FILE_XML);
+        binReader.readLimeObject(recordXml, SCIDAC_FILE_XML);
+        XmlReader xmlReader(recordXml, true, "eigenPackPar");
+        xmlReader.push();
+        xmlReader.readCurrentSubtree(record.operatorXml);
+        xmlReader.nextElement();
+        xmlReader.readCurrentSubtree(record.solverXml);
         for(int k = 0; k < size; ++k) 
         {
             VecRecord vecRecord;
@@ -149,9 +155,15 @@ protected:
     {
         ScidacReader binReader;
         VecRecord    vecRecord;
+        std::string  recordXml;
 
         binReader.open(filename);
-        binReader.skipPastObjectRecord(SCIDAC_FILE_XML);
+        binReader.readLimeObject(recordXml, SCIDAC_FILE_XML);
+        XmlReader xmlReader(recordXml, true, "eigenPackPar");
+        xmlReader.push();
+        xmlReader.readCurrentSubtree(record.operatorXml);
+        xmlReader.nextElement();
+        xmlReader.readCurrentSubtree(record.solverXml);
         LOG(Message) << "Reading eigenvector " << index << std::endl;
         binReader.readScidacFieldRecord(evec, vecRecord);
         if (vecRecord.index != index)

From 8fbb27ce1383b5d0515c2754d8b54f4c6290290f Mon Sep 17 00:00:00 2001
From: Antonin Portelli <antonin.portelli@me.com>
Date: Mon, 1 Oct 2018 20:15:21 +0100
Subject: [PATCH 17/39] Hadrons: less code duplication in eigenpack IO

---
 Hadrons/EigenPack.hpp | 77 +++++++++++++++++++++++++++++--------------
 1 file changed, 53 insertions(+), 24 deletions(-)

diff --git a/Hadrons/EigenPack.hpp b/Hadrons/EigenPack.hpp
index 3e0a6fb4..44836ef3 100644
--- a/Hadrons/EigenPack.hpp
+++ b/Hadrons/EigenPack.hpp
@@ -39,6 +39,13 @@ BEGIN_HADRONS_NAMESPACE
 #define HADRONS_DEFAULT_LANCZOS_NBASIS 60
 #endif
 
+#define HADRONS_DUMP_EP_METADATA \
+LOG(Message) << "Eigenpack metadata:" << std::endl;\
+LOG(Message) << "* operator" << std::endl;\
+LOG(Message) << record.operatorXml << std::endl;\
+LOG(Message) << "* solver" << std::endl;\
+LOG(Message) << record.solverXml << std::endl;
+
 template <typename F>
 class EigenPack
 {
@@ -81,11 +88,16 @@ public:
             for(int k = 0; k < evec.size(); ++k)
             {
                 basicReadSingle(evec[k], eval[k], evecFilename(fileStem, k, traj), k);
+                if (k == 0)
+                {
+                    HADRONS_DUMP_EP_METADATA;
+                }
             }
         }
         else
         {
             basicRead(evec, eval, evecFilename(fileStem, -1, traj), evec.size());
+            HADRONS_DUMP_EP_METADATA;
         }
     }
 
@@ -118,26 +130,38 @@ protected:
         }
     }
 
-    template <typename T>
-    void basicRead(std::vector<T> &evec, std::vector<RealD> &eval,
-                   const std::string filename, const unsigned int size)
+    void readHeader(ScidacReader &binReader)
     {
-        ScidacReader binReader;
         std::string  recordXml;
 
-        binReader.open(filename);
         binReader.readLimeObject(recordXml, SCIDAC_FILE_XML);
         XmlReader xmlReader(recordXml, true, "eigenPackPar");
         xmlReader.push();
         xmlReader.readCurrentSubtree(record.operatorXml);
         xmlReader.nextElement();
         xmlReader.readCurrentSubtree(record.solverXml);
+    }
+
+    template <typename T>
+    void readElement(T &evec, VecRecord &vecRecord, ScidacReader &binReader)
+    {
+        binReader.readScidacFieldRecord(evec, vecRecord);
+    }
+
+    template <typename T>
+    void basicRead(std::vector<T> &evec, std::vector<RealD> &eval,
+                   const std::string filename, const unsigned int size)
+    {
+        ScidacReader binReader;
+
+        binReader.open(filename);
+        readHeader(binReader);
         for(int k = 0; k < size; ++k) 
         {
             VecRecord vecRecord;
 
             LOG(Message) << "Reading eigenvector " << k << std::endl;
-            binReader.readScidacFieldRecord(evec[k], vecRecord);
+            readElement(evec[k], vecRecord, binReader);
             if (vecRecord.index != k)
             {
                 HADRONS_ERROR(Io, "Eigenvector " + std::to_string(k) + " has a"
@@ -155,17 +179,11 @@ protected:
     {
         ScidacReader binReader;
         VecRecord    vecRecord;
-        std::string  recordXml;
 
         binReader.open(filename);
-        binReader.readLimeObject(recordXml, SCIDAC_FILE_XML);
-        XmlReader xmlReader(recordXml, true, "eigenPackPar");
-        xmlReader.push();
-        xmlReader.readCurrentSubtree(record.operatorXml);
-        xmlReader.nextElement();
-        xmlReader.readCurrentSubtree(record.solverXml);
+        readHeader(binReader);
         LOG(Message) << "Reading eigenvector " << index << std::endl;
-        binReader.readScidacFieldRecord(evec, vecRecord);
+        readElement(evec, vecRecord, binReader);
         if (vecRecord.index != index)
         {
             HADRONS_ERROR(Io, "Eigenvector " + std::to_string(index) + " has a"
@@ -176,18 +194,30 @@ protected:
         binReader.close();
     }
 
+    void writeHeader(ScidacWriter &binWriter)
+    {
+        XmlWriter    xmlWriter("", "eigenPackPar");
+
+        xmlWriter.pushXmlString(record.operatorXml);
+        xmlWriter.pushXmlString(record.solverXml);
+        binWriter.writeLimeObject(1, 1, xmlWriter, "parameters", SCIDAC_FILE_XML);
+    }
+
+    template <typename T>
+    void writeElement(ScidacWriter &binWriter, T &evec, VecRecord &vecRecord)
+    {
+        binWriter.writeScidacFieldRecord(evec, vecRecord, DEFAULT_ASCII_PREC);
+    }
+
     template <typename T>
     void basicWrite(const std::string filename, std::vector<T> &evec, 
                     const std::vector<RealD> &eval, const unsigned int size)
     {
         ScidacWriter binWriter(evec[0]._grid->IsBoss());
-        XmlWriter    xmlWriter("", "eigenPackPar");
 
         makeFileDir(filename, evec[0]._grid);
-        xmlWriter.pushXmlString(record.operatorXml);
-        xmlWriter.pushXmlString(record.solverXml);
         binWriter.open(filename);
-        binWriter.writeLimeObject(1, 1, xmlWriter, "parameters", SCIDAC_FILE_XML);
+        writeHeader(binWriter);
         for(int k = 0; k < size; ++k) 
         {
             VecRecord vecRecord;
@@ -195,7 +225,7 @@ protected:
             vecRecord.index = k;
             vecRecord.eval  = eval[k];
             LOG(Message) << "Writing eigenvector " << k << std::endl;
-            binWriter.writeScidacFieldRecord(evec[k], vecRecord, DEFAULT_ASCII_PREC);
+            writeElement(binWriter, evec[k], vecRecord);
         }
         binWriter.close();
     }
@@ -205,18 +235,15 @@ protected:
                           const RealD eval, const unsigned int index)
     {
         ScidacWriter binWriter(evec._grid->IsBoss());
-        XmlWriter    xmlWriter("", "eigenPackPar");
         VecRecord    vecRecord;
 
         makeFileDir(filename, evec._grid);
-        xmlWriter.pushXmlString(record.operatorXml);
-        xmlWriter.pushXmlString(record.solverXml);
         binWriter.open(filename);
-        binWriter.writeLimeObject(1, 1, xmlWriter, "parameters", SCIDAC_FILE_XML);
+        writeHeader(binWriter);
         vecRecord.index = index;
         vecRecord.eval  = eval;
         LOG(Message) << "Writing eigenvector " << index << std::endl;
-        binWriter.writeScidacFieldRecord(evec, vecRecord, DEFAULT_ASCII_PREC);
+        writeElement(binWriter, evec, vecRecord);
         binWriter.close();
     }
 };
@@ -330,6 +357,8 @@ using CoarseFermionEigenPack = CoarseEigenPack<
                                    typename FImpl::SiteComplex, 
                                    nBasis>::CoarseField>;
 
+#undef HADRONS_DUMP_EP_METADATA
+
 END_HADRONS_NAMESPACE
 
 #endif // Hadrons_EigenPack_hpp_

From aadd9f4468d0e13cc9fd06cdf18c7ecea4519e2b Mon Sep 17 00:00:00 2001
From: Antonin Portelli <antonin.portelli@me.com>
Date: Tue, 2 Oct 2018 00:02:34 +0100
Subject: [PATCH 18/39] Eigenpack converter, to be tested, HadronsXmlRun moved
 to Utilities directory

---
 Hadrons/EigenPack.hpp                    |  98 +++++++++---------
 Hadrons/Makefile.am                      |   6 +-
 Hadrons/Utilities/EigenPackCast.cc       | 123 +++++++++++++++++++++++
 Hadrons/{ => Utilities}/HadronsXmlRun.cc |   0
 Hadrons/Utilities/Makefile.am            |  10 ++
 configure.ac                             |   1 +
 6 files changed, 186 insertions(+), 52 deletions(-)
 create mode 100644 Hadrons/Utilities/EigenPackCast.cc
 rename Hadrons/{ => Utilities}/HadronsXmlRun.cc (100%)
 create mode 100644 Hadrons/Utilities/Makefile.am

diff --git a/Hadrons/EigenPack.hpp b/Hadrons/EigenPack.hpp
index 44836ef3..0be998b7 100644
--- a/Hadrons/EigenPack.hpp
+++ b/Hadrons/EigenPack.hpp
@@ -46,22 +46,24 @@ LOG(Message) << record.operatorXml << std::endl;\
 LOG(Message) << "* solver" << std::endl;\
 LOG(Message) << record.solverXml << std::endl;
 
+struct PackRecord
+{
+    std::string operatorXml, solverXml;
+};
+
+struct VecRecord: Serializable
+{
+    GRID_SERIALIZABLE_CLASS_MEMBERS(VecRecord,
+                                    unsigned int, index,
+                                    double,       eval);
+    VecRecord(void): index(0), eval(0.) {}
+};
+
 template <typename F>
 class EigenPack
 {
 public:
     typedef F Field;
-    struct PackRecord
-    {
-        std::string operatorXml, solverXml;
-    };
-    struct VecRecord: Serializable
-    {
-        GRID_SERIALIZABLE_CLASS_MEMBERS(VecRecord,
-                                        unsigned int, index,
-                                        double,       eval);
-        VecRecord(void): index(0), eval(0.) {}
-    };
 public:
     std::vector<RealD> eval;
     std::vector<F>     evec;
@@ -115,6 +117,39 @@ public:
             basicWrite(evecFilename(fileStem, -1, traj), evec, eval, evec.size());
         }
     }
+
+    static void readHeader(PackRecord &record, ScidacReader &binReader)
+    {
+        std::string recordXml;
+
+        binReader.readLimeObject(recordXml, SCIDAC_FILE_XML);
+        XmlReader xmlReader(recordXml, true, "eigenPackPar");
+        xmlReader.push();
+        xmlReader.readCurrentSubtree(record.operatorXml);
+        xmlReader.nextElement();
+        xmlReader.readCurrentSubtree(record.solverXml);
+    }
+
+    template <typename T>
+    static void readElement(T &evec, VecRecord &vecRecord, ScidacReader &binReader)
+    {
+        binReader.readScidacFieldRecord(evec, vecRecord);
+    }
+
+    static void writeHeader(ScidacWriter &binWriter, PackRecord &record)
+    {
+        XmlWriter xmlWriter("", "eigenPackPar");
+
+        xmlWriter.pushXmlString(record.operatorXml);
+        xmlWriter.pushXmlString(record.solverXml);
+        binWriter.writeLimeObject(1, 1, xmlWriter, "parameters", SCIDAC_FILE_XML);
+    }
+
+    template <typename T>
+    static void writeElement(ScidacWriter &binWriter, T &evec, VecRecord &vecRecord)
+    {
+        binWriter.writeScidacFieldRecord(evec, vecRecord, DEFAULT_ASCII_PREC);
+    }
 protected:
     std::string evecFilename(const std::string stem, const int vec, const int traj)
     {
@@ -130,24 +165,6 @@ protected:
         }
     }
 
-    void readHeader(ScidacReader &binReader)
-    {
-        std::string  recordXml;
-
-        binReader.readLimeObject(recordXml, SCIDAC_FILE_XML);
-        XmlReader xmlReader(recordXml, true, "eigenPackPar");
-        xmlReader.push();
-        xmlReader.readCurrentSubtree(record.operatorXml);
-        xmlReader.nextElement();
-        xmlReader.readCurrentSubtree(record.solverXml);
-    }
-
-    template <typename T>
-    void readElement(T &evec, VecRecord &vecRecord, ScidacReader &binReader)
-    {
-        binReader.readScidacFieldRecord(evec, vecRecord);
-    }
-
     template <typename T>
     void basicRead(std::vector<T> &evec, std::vector<RealD> &eval,
                    const std::string filename, const unsigned int size)
@@ -155,7 +172,7 @@ protected:
         ScidacReader binReader;
 
         binReader.open(filename);
-        readHeader(binReader);
+        readHeader(record, binReader);
         for(int k = 0; k < size; ++k) 
         {
             VecRecord vecRecord;
@@ -181,7 +198,7 @@ protected:
         VecRecord    vecRecord;
 
         binReader.open(filename);
-        readHeader(binReader);
+        readHeader(record, binReader);
         LOG(Message) << "Reading eigenvector " << index << std::endl;
         readElement(evec, vecRecord, binReader);
         if (vecRecord.index != index)
@@ -194,21 +211,6 @@ protected:
         binReader.close();
     }
 
-    void writeHeader(ScidacWriter &binWriter)
-    {
-        XmlWriter    xmlWriter("", "eigenPackPar");
-
-        xmlWriter.pushXmlString(record.operatorXml);
-        xmlWriter.pushXmlString(record.solverXml);
-        binWriter.writeLimeObject(1, 1, xmlWriter, "parameters", SCIDAC_FILE_XML);
-    }
-
-    template <typename T>
-    void writeElement(ScidacWriter &binWriter, T &evec, VecRecord &vecRecord)
-    {
-        binWriter.writeScidacFieldRecord(evec, vecRecord, DEFAULT_ASCII_PREC);
-    }
-
     template <typename T>
     void basicWrite(const std::string filename, std::vector<T> &evec, 
                     const std::vector<RealD> &eval, const unsigned int size)
@@ -217,7 +219,7 @@ protected:
 
         makeFileDir(filename, evec[0]._grid);
         binWriter.open(filename);
-        writeHeader(binWriter);
+        writeHeader(binWriter, record);
         for(int k = 0; k < size; ++k) 
         {
             VecRecord vecRecord;
@@ -239,7 +241,7 @@ protected:
 
         makeFileDir(filename, evec._grid);
         binWriter.open(filename);
-        writeHeader(binWriter);
+        writeHeader(binWriter, record);
         vecRecord.index = index;
         vecRecord.eval  = eval;
         LOG(Message) << "Writing eigenvector " << index << std::endl;
diff --git a/Hadrons/Makefile.am b/Hadrons/Makefile.am
index fe851aee..4ec45c03 100644
--- a/Hadrons/Makefile.am
+++ b/Hadrons/Makefile.am
@@ -1,5 +1,6 @@
+SUBDIRS = . Utilities
+
 lib_LIBRARIES = libHadrons.a
-bin_PROGRAMS  = HadronsXmlRun
 
 include modules.inc
 
@@ -31,6 +32,3 @@ nobase_libHadrons_a_HEADERS = \
 	ModuleFactory.hpp         \
 	Solver.hpp                \
 	VirtualMachine.hpp
-
-HadronsXmlRun_SOURCES = HadronsXmlRun.cc
-HadronsXmlRun_LDADD   = libHadrons.a -lGrid
diff --git a/Hadrons/Utilities/EigenPackCast.cc b/Hadrons/Utilities/EigenPackCast.cc
new file mode 100644
index 00000000..cf1480dc
--- /dev/null
+++ b/Hadrons/Utilities/EigenPackCast.cc
@@ -0,0 +1,123 @@
+#include <Hadrons/EigenPack.hpp>
+#include <Hadrons/Environment.hpp>
+
+using namespace Grid;
+using namespace QCD;
+using namespace Hadrons;
+
+template <typename FOut, typename FIn>
+void convert(const std::string outFilename, const std::string inFilename, 
+             const unsigned int size, const bool multiFile)
+{
+    assert(outFilename != inFilename);
+    
+    typedef EigenPack<FOut>            EPOut;
+    typedef EigenPack<FIn>             EPIn;
+    typedef typename FOut::vector_type VTypeOut;
+    typedef typename FIn::vector_type  VTypeIn;
+
+    std::shared_ptr<GridBase> gIn, gOut;
+    auto                      dim     = GridDefaultLatt();
+    unsigned int              nd      = dim.size();
+    auto                      simdOut = GridDefaultSimd(nd, VTypeOut::Nsimd());
+    auto                      simdIn  = GridDefaultSimd(nd, VTypeIn::Nsimd());
+
+    gOut.reset(SpaceTimeGrid::makeFourDimGrid(dim, simdOut, GridDefaultMpi()));
+    gIn.reset(SpaceTimeGrid::makeFourDimGrid(dim, simdIn, GridDefaultMpi()));
+
+    FOut bufOut(gOut.get());
+    FIn  bufIn(gIn.get());
+
+    if (multiFile)
+    {
+        for(unsigned int k = 0; k < size; ++k)
+        {
+            ScidacWriter binWriter(gOut->IsBoss());
+            ScidacReader binReader;
+            PackRecord   record;
+            VecRecord    vecRecord;
+            std::string  outV = outFilename + "/v" + std::to_string(k) + ".bin";
+            std::string  inV  = inFilename + "/v" + std::to_string(k) + ".bin";
+
+            makeFileDir(outV, gOut.get());
+            binWriter.open(outV);
+            binReader.open(inV);
+            EPIn::readHeader(record, binReader);
+            EPOut::writeHeader(binWriter, record);
+            EPIn::readElement(bufIn, vecRecord, binReader);
+            precisionChange(bufOut, bufIn);
+            EPOut::writeElement(binWriter, bufOut, vecRecord);
+            binWriter.close();
+            binReader.close();
+        }
+    }
+    else
+    {
+        ScidacWriter binWriter(gOut->IsBoss());
+        ScidacReader binReader;
+        PackRecord   record;
+
+        makeFileDir(outFilename, gOut.get());
+        binWriter.open(outFilename);
+        binReader.open(inFilename);
+        EPIn::readHeader(record, binReader);
+        EPOut::writeHeader(binWriter, record);
+        for(unsigned int k = 0; k < size; ++k)
+        {
+            VecRecord vecRecord;
+
+            EPIn::readElement(bufIn, vecRecord, binReader);
+            precisionChange(bufOut, bufIn);
+            EPOut::writeElement(binWriter, bufOut, vecRecord);
+        }
+        binWriter.close();
+        binReader.close();
+    }
+}
+
+#ifndef FOUT
+#warning "FOUT undefined (set to WilsonImplF::FermionField by default)"
+#define FOUT WilsonImplF::FermionField
+#endif
+#ifndef FIN
+#warning "FIN undefined (set to WilsonImplD::FermionField by default)"
+#define FIN WilsonImplD::FermionField
+#endif
+
+int main(int argc, char *argv[])
+{
+    // parse command line
+    std::string  outFilename, inFilename;
+    unsigned int size;
+    bool         multiFile;
+    
+    if (argc < 5)
+    {
+        std::cerr << "usage: " << argv[0] << " <out eigenpack> <in eigenpack> <size> <multifile (0|1)> [Grid options]";
+        std::cerr << std::endl;
+        std::exit(EXIT_FAILURE);
+    }
+    outFilename = argv[1];
+    inFilename  = argv[2];
+    size        = std::stoi(std::string(argv[3]));
+    multiFile   = (std::string(argv[4]) != "0");
+    
+    // initialization
+    Grid_init(&argc, &argv);
+
+    // execution
+    try
+    {
+        convert<FOUT, FIN>(outFilename, inFilename, size, multiFile);
+    }
+    catch (const std::exception& e)
+    {
+        Exceptions::abort(e);
+    }
+
+    // epilogue
+    LOG(Message) << "Grid is finalizing now" << std::endl;
+    Grid_finalize();
+    
+    return EXIT_SUCCESS;
+}
diff --git a/Hadrons/HadronsXmlRun.cc b/Hadrons/Utilities/HadronsXmlRun.cc
similarity index 100%
rename from Hadrons/HadronsXmlRun.cc
rename to Hadrons/Utilities/HadronsXmlRun.cc
diff --git a/Hadrons/Utilities/Makefile.am b/Hadrons/Utilities/Makefile.am
new file mode 100644
index 00000000..62c29ef9
--- /dev/null
+++ b/Hadrons/Utilities/Makefile.am
@@ -0,0 +1,10 @@
+AM_LDFLAGS += -L../../Hadrons
+
+bin_PROGRAMS = HadronsXmlRun FermionEigenPackCastToSingle
+
+HadronsXmlRun_SOURCES = HadronsXmlRun.cc
+HadronsXmlRun_LDADD   = -lHadrons -lGrid
+
+FermionEigenPackCastToSingle_SOURCES  = EigenPackCast.cc
+FermionEigenPackCastToSingle_CXXFLAGS = $(AM_CXXFLAGS) -DFIN=WilsonImplD::FermionField -DFOUT=WilsonImplF::FermionField
+FermionEigenPackCastToSingle_LDADD    = -lHadrons -lGrid
diff --git a/configure.ac b/configure.ac
index f57b00ad..d362ed5a 100644
--- a/configure.ac
+++ b/configure.ac
@@ -562,6 +562,7 @@ AC_CONFIG_FILES(tests/qdpxx/Makefile)
 AC_CONFIG_FILES(tests/testu01/Makefile)
 AC_CONFIG_FILES(benchmarks/Makefile)
 AC_CONFIG_FILES(Hadrons/Makefile)
+AC_CONFIG_FILES(Hadrons/Utilities/Makefile)
 AC_OUTPUT
 
 echo ""

From 4ab8cfbe2ab74141f1cc7bcb53ac0da8f39cc316 Mon Sep 17 00:00:00 2001
From: Antonin Portelli <antonin.portelli@me.com>
Date: Tue, 2 Oct 2018 12:24:45 +0100
Subject: [PATCH 19/39] Hadrons: more verbose eigenpack convert

---
 Hadrons/Utilities/EigenPackCast.cc | 18 +++++++++++++++++-
 1 file changed, 17 insertions(+), 1 deletion(-)

diff --git a/Hadrons/Utilities/EigenPackCast.cc b/Hadrons/Utilities/EigenPackCast.cc
index cf1480dc..3d74a3aa 100644
--- a/Hadrons/Utilities/EigenPackCast.cc
+++ b/Hadrons/Utilities/EigenPackCast.cc
@@ -26,8 +26,14 @@ void convert(const std::string outFilename, const std::string inFilename,
     gIn.reset(SpaceTimeGrid::makeFourDimGrid(dim, simdIn, GridDefaultMpi()));
 
     FOut bufOut(gOut.get());
-    FIn  bufIn(gIn.get());
+    FIn  bufIn(gIn.get()), testIn(gIn.get());
 
+    LOG(Message) << "==== EIGENPACK CONVERSION" << std::endl;
+    LOG(Message) << "In path  : " << inFilename  << std::endl;
+    LOG(Message) << "In type  : " << typeName<FIn>() << std::endl;
+    LOG(Message) << "Out path : " << outFilename << std::endl;
+    LOG(Message) << "Out type : " << typeName<FOut>() << std::endl;
+    LOG(Message) << "Multifile: " << (multiFile ? "yes" : "no") << std::endl;
     if (multiFile)
     {
         for(unsigned int k = 0; k < size; ++k)
@@ -39,6 +45,9 @@ void convert(const std::string outFilename, const std::string inFilename,
             std::string  outV = outFilename + "/v" + std::to_string(k) + ".bin";
             std::string  inV  = inFilename + "/v" + std::to_string(k) + ".bin";
 
+            LOG(Message) << "==== Converting vector " << k << std::endl;
+            LOG(Message) << "In : " << inV  << std::endl;
+            LOG(Message) << "Out: " << outV << std::endl;
             makeFileDir(outV, gOut.get());
             binWriter.open(outV);
             binReader.open(inV);
@@ -46,6 +55,9 @@ void convert(const std::string outFilename, const std::string inFilename,
             EPOut::writeHeader(binWriter, record);
             EPIn::readElement(bufIn, vecRecord, binReader);
             precisionChange(bufOut, bufIn);
+            precisionChange(testIn, bufOut);
+            testIn -= bufIn;
+            LOG(Message) << "Diff norm^2: " << norm2(testIn) << std::endl;
             EPOut::writeElement(binWriter, bufOut, vecRecord);
             binWriter.close();
             binReader.close();
@@ -66,8 +78,12 @@ void convert(const std::string outFilename, const std::string inFilename,
         {
             VecRecord vecRecord;
 
+            LOG(Message) << "==== Converting vector " << k << std::endl;
             EPIn::readElement(bufIn, vecRecord, binReader);
             precisionChange(bufOut, bufIn);
+            precisionChange(testIn, bufOut);
+            testIn -= bufIn;
+            LOG(Message) << "Diff norm^2: " << norm2(testIn) << std::endl;
             EPOut::writeElement(binWriter, bufOut, vecRecord);
         }
         binWriter.close();

From 84189867ef5257df5e93b6a0bce333609623f001 Mon Sep 17 00:00:00 2001
From: Antonin Portelli <antonin.portelli@me.com>
Date: Tue, 2 Oct 2018 13:05:05 +0100
Subject: [PATCH 20/39] Hadrons: eigenpack converter with RB grids (to be
 generalised)

---
 Hadrons/Utilities/EigenPackCast.cc | 10 ++++++----
 1 file changed, 6 insertions(+), 4 deletions(-)

diff --git a/Hadrons/Utilities/EigenPackCast.cc b/Hadrons/Utilities/EigenPackCast.cc
index 3d74a3aa..e9be2c15 100644
--- a/Hadrons/Utilities/EigenPackCast.cc
+++ b/Hadrons/Utilities/EigenPackCast.cc
@@ -16,15 +16,17 @@ void convert(const std::string outFilename, const std::string inFilename,
     typedef typename FOut::vector_type VTypeOut;
     typedef typename FIn::vector_type  VTypeIn;
 
-    std::shared_ptr<GridBase> gIn, gOut;
+    std::shared_ptr<GridBase> fgIn, fgOut, gIn, gOut;
     auto                      dim     = GridDefaultLatt();
     unsigned int              nd      = dim.size();
     auto                      simdOut = GridDefaultSimd(nd, VTypeOut::Nsimd());
     auto                      simdIn  = GridDefaultSimd(nd, VTypeIn::Nsimd());
 
-    gOut.reset(SpaceTimeGrid::makeFourDimGrid(dim, simdOut, GridDefaultMpi()));
-    gIn.reset(SpaceTimeGrid::makeFourDimGrid(dim, simdIn, GridDefaultMpi()));
-
+    fgOut.reset(SpaceTimeGrid::makeFourDimGrid(dim, simdOut, GridDefaultMpi()));
+    gOut.reset(SpaceTimeGrid::makeFourDimRedBlackGrid(fgOut.get()));
+    fgIn.reset(SpaceTimeGrid::makeFourDimGrid(dim, simdIn, GridDefaultMpi()));
+    gIn.reset(SpaceTimeGrid::makeFourDimRedBlackGrid(fgOut.get()));
+    
     FOut bufOut(gOut.get());
     FIn  bufIn(gIn.get()), testIn(gIn.get());
 

From 430b98b35474e67ee9a7743d930d69a62f5e9a9b Mon Sep 17 00:00:00 2001
From: Antonin Portelli <antonin.portelli@me.com>
Date: Tue, 2 Oct 2018 13:12:46 +0100
Subject: [PATCH 21/39] fix previous commit

---
 Hadrons/Utilities/EigenPackCast.cc | 8 +++++---
 1 file changed, 5 insertions(+), 3 deletions(-)

diff --git a/Hadrons/Utilities/EigenPackCast.cc b/Hadrons/Utilities/EigenPackCast.cc
index e9be2c15..c35a3321 100644
--- a/Hadrons/Utilities/EigenPackCast.cc
+++ b/Hadrons/Utilities/EigenPackCast.cc
@@ -16,7 +16,9 @@ void convert(const std::string outFilename, const std::string inFilename,
     typedef typename FOut::vector_type VTypeOut;
     typedef typename FIn::vector_type  VTypeIn;
 
-    std::shared_ptr<GridBase> fgIn, fgOut, gIn, gOut;
+    std::shared_ptr<GridCartesian>         fgIn, fgOut;
+    std::shared_ptr<GridRedBlackCartesian> gIn, gOut;
+
     auto                      dim     = GridDefaultLatt();
     unsigned int              nd      = dim.size();
     auto                      simdOut = GridDefaultSimd(nd, VTypeOut::Nsimd());
@@ -25,8 +27,8 @@ void convert(const std::string outFilename, const std::string inFilename,
     fgOut.reset(SpaceTimeGrid::makeFourDimGrid(dim, simdOut, GridDefaultMpi()));
     gOut.reset(SpaceTimeGrid::makeFourDimRedBlackGrid(fgOut.get()));
     fgIn.reset(SpaceTimeGrid::makeFourDimGrid(dim, simdIn, GridDefaultMpi()));
-    gIn.reset(SpaceTimeGrid::makeFourDimRedBlackGrid(fgOut.get()));
-    
+    gIn.reset(SpaceTimeGrid::makeFourDimRedBlackGrid(fgIn.get()));
+
     FOut bufOut(gOut.get());
     FIn  bufIn(gIn.get()), testIn(gIn.get());
 

From 9aafa8ee60a1830c5a630c8738c8ee1a6f14d3b0 Mon Sep 17 00:00:00 2001
From: Antonin Portelli <antonin.portelli@me.com>
Date: Tue, 2 Oct 2018 13:34:17 +0100
Subject: [PATCH 22/39] Hadrons: eigenpack converter generalised for RB/5d
 grids

---
 Hadrons/Utilities/EigenPackCast.cc | 89 +++++++++++++++++++++---------
 1 file changed, 62 insertions(+), 27 deletions(-)

diff --git a/Hadrons/Utilities/EigenPackCast.cc b/Hadrons/Utilities/EigenPackCast.cc
index c35a3321..07c37a7c 100644
--- a/Hadrons/Utilities/EigenPackCast.cc
+++ b/Hadrons/Utilities/EigenPackCast.cc
@@ -7,7 +7,8 @@ using namespace Hadrons;
 
 template <typename FOut, typename FIn>
 void convert(const std::string outFilename, const std::string inFilename, 
-             const unsigned int size, const bool multiFile)
+             const unsigned int Ls, const bool rb, const unsigned int size, 
+             const bool multiFile)
 {
     assert(outFilename != inFilename);
     
@@ -16,28 +17,60 @@ void convert(const std::string outFilename, const std::string inFilename,
     typedef typename FOut::vector_type VTypeOut;
     typedef typename FIn::vector_type  VTypeIn;
 
-    std::shared_ptr<GridCartesian>         fgIn, fgOut;
-    std::shared_ptr<GridRedBlackCartesian> gIn, gOut;
+    std::shared_ptr<GridCartesian>         gInBase, gOutBase, gIn5, gOut5;
+    std::shared_ptr<GridRedBlackCartesian> rbgIn, rbgOut;
+    GridBase                               *gIn, *gOut;
 
-    auto                      dim     = GridDefaultLatt();
-    unsigned int              nd      = dim.size();
-    auto                      simdOut = GridDefaultSimd(nd, VTypeOut::Nsimd());
-    auto                      simdIn  = GridDefaultSimd(nd, VTypeIn::Nsimd());
+    auto         dim     = GridDefaultLatt();
+    unsigned int nd      = dim.size();
+    auto         simdOut = GridDefaultSimd(nd, VTypeOut::Nsimd());
+    auto         simdIn  = GridDefaultSimd(nd, VTypeIn::Nsimd());
 
-    fgOut.reset(SpaceTimeGrid::makeFourDimGrid(dim, simdOut, GridDefaultMpi()));
-    gOut.reset(SpaceTimeGrid::makeFourDimRedBlackGrid(fgOut.get()));
-    fgIn.reset(SpaceTimeGrid::makeFourDimGrid(dim, simdIn, GridDefaultMpi()));
-    gIn.reset(SpaceTimeGrid::makeFourDimRedBlackGrid(fgIn.get()));
+    gOutBase.reset(SpaceTimeGrid::makeFourDimGrid(dim, simdOut, GridDefaultMpi()));
+    gInBase.reset(SpaceTimeGrid::makeFourDimGrid(dim, simdIn, GridDefaultMpi()));
+    if (rb)
+    {
+        if (Ls > 1)
+        {
+            rbgOut.reset(SpaceTimeGrid::makeFiveDimRedBlackGrid(Ls, gOutBase.get()));
+            rbgIn.reset(SpaceTimeGrid::makeFiveDimRedBlackGrid(Ls, gInBase.get()));
+        }
+        else
+        {
+            rbgOut.reset(SpaceTimeGrid::makeFourDimRedBlackGrid(gOutBase.get()));
+            rbgIn.reset(SpaceTimeGrid::makeFourDimRedBlackGrid(gInBase.get()));
+        }
+        gOut = rbgOut.get();
+        gIn  = rbgIn.get();
+    }
+    else
+    {
+        if (Ls > 1)
+        {
+            gOut5.reset(SpaceTimeGrid::makeFiveDimGrid(Ls, gOutBase.get()));
+            gIn5.reset(SpaceTimeGrid::makeFiveDimGrid(Ls, gInBase.get()));
+            gOut = gOut5.get();
+            gIn  = gIn5.get();
+        }
+        else
+        {
+            gOut = gOutBase.get();
+            gIn  = gInBase.get();
+        }
+    }
 
-    FOut bufOut(gOut.get());
-    FIn  bufIn(gIn.get()), testIn(gIn.get());
+    FOut bufOut(gOut);
+    FIn  bufIn(gIn), testIn(gIn);
 
     LOG(Message) << "==== EIGENPACK CONVERSION" << std::endl;
-    LOG(Message) << "In path  : " << inFilename  << std::endl;
-    LOG(Message) << "In type  : " << typeName<FIn>() << std::endl;
-    LOG(Message) << "Out path : " << outFilename << std::endl;
-    LOG(Message) << "Out type : " << typeName<FOut>() << std::endl;
-    LOG(Message) << "Multifile: " << (multiFile ? "yes" : "no") << std::endl;
+    LOG(Message) << "Lattice       : " << gIn->GlobalDimensions() << std::endl;
+    LOG(Message) << "Checkerboarded: " << (rb ? "yes" : "no") << std::endl;
+    LOG(Message) << "In path       : " << inFilename  << std::endl;
+    LOG(Message) << "In type       : " << typeName<FIn>() << std::endl;
+    LOG(Message) << "Out path      : " << outFilename << std::endl;
+    LOG(Message) << "Out type      : " << typeName<FOut>() << std::endl;
+    LOG(Message) << "#vectors      : " << size << std::endl;
+    LOG(Message) << "Multifile     : " << (multiFile ? "yes" : "no") << std::endl;
     if (multiFile)
     {
         for(unsigned int k = 0; k < size; ++k)
@@ -52,7 +85,7 @@ void convert(const std::string outFilename, const std::string inFilename,
             LOG(Message) << "==== Converting vector " << k << std::endl;
             LOG(Message) << "In : " << inV  << std::endl;
             LOG(Message) << "Out: " << outV << std::endl;
-            makeFileDir(outV, gOut.get());
+            makeFileDir(outV, gOut);
             binWriter.open(outV);
             binReader.open(inV);
             EPIn::readHeader(record, binReader);
@@ -73,7 +106,7 @@ void convert(const std::string outFilename, const std::string inFilename,
         ScidacReader binReader;
         PackRecord   record;
 
-        makeFileDir(outFilename, gOut.get());
+        makeFileDir(outFilename, gOut);
         binWriter.open(outFilename);
         binReader.open(inFilename);
         EPIn::readHeader(record, binReader);
@@ -108,19 +141,21 @@ int main(int argc, char *argv[])
 {
     // parse command line
     std::string  outFilename, inFilename;
-    unsigned int size;
-    bool         multiFile;
+    unsigned int size, Ls;
+    bool         rb, multiFile;
     
-    if (argc < 5)
+    if (argc < 7)
     {
-        std::cerr << "usage: " << argv[0] << " <out eigenpack> <in eigenpack> <size> <multifile (0|1)> [Grid options]";
+        std::cerr << "usage: " << argv[0] << " <out eigenpack> <in eigenpack> <Ls> <red-black (0|1)> <#vector> <multifile (0|1)> [Grid options]";
         std::cerr << std::endl;
         std::exit(EXIT_FAILURE);
     }
     outFilename = argv[1];
     inFilename  = argv[2];
-    size        = std::stoi(std::string(argv[3]));
-    multiFile   = (std::string(argv[4]) != "0");
+    Ls          = std::stoi(std::string(argv[3]));
+    rb          = (std::string(argv[4]) != "0");
+    size        = std::stoi(std::string(argv[5]));
+    multiFile   = (std::string(argv[6]) != "0");
     
     // initialization
     Grid_init(&argc, &argv);
@@ -128,7 +163,7 @@ int main(int argc, char *argv[])
     // execution
     try
     {
-        convert<FOUT, FIN>(outFilename, inFilename, size, multiFile);
+        convert<FOUT, FIN>(outFilename, inFilename, Ls, rb, size, multiFile);
     }
     catch (const std::exception& e)
     {

From 02aa4bd7622ee7f9408c8cfb59f5459a75dfe845 Mon Sep 17 00:00:00 2001
From: Antonin Portelli <antonin.portelli@me.com>
Date: Tue, 2 Oct 2018 13:43:25 +0100
Subject: [PATCH 23/39] Hadrons: cleaner eigenpack convert log

---
 Hadrons/Utilities/EigenPackCast.cc | 1 +
 1 file changed, 1 insertion(+)

diff --git a/Hadrons/Utilities/EigenPackCast.cc b/Hadrons/Utilities/EigenPackCast.cc
index 07c37a7c..cf35a550 100644
--- a/Hadrons/Utilities/EigenPackCast.cc
+++ b/Hadrons/Utilities/EigenPackCast.cc
@@ -159,6 +159,7 @@ int main(int argc, char *argv[])
     
     // initialization
     Grid_init(&argc, &argv);
+    initLogger();
 
     // execution
     try

From 888ebc3cf9befd91dae537f808df94b036dc6fcc Mon Sep 17 00:00:00 2001
From: Antonin Portelli <antonin.portelli@me.com>
Date: Tue, 2 Oct 2018 15:22:18 +0100
Subject: [PATCH 24/39] Hadrons: better name for the EP converter

---
 Hadrons/Utilities/Makefile.am | 8 ++++----
 1 file changed, 4 insertions(+), 4 deletions(-)

diff --git a/Hadrons/Utilities/Makefile.am b/Hadrons/Utilities/Makefile.am
index 62c29ef9..7655b2e2 100644
--- a/Hadrons/Utilities/Makefile.am
+++ b/Hadrons/Utilities/Makefile.am
@@ -1,10 +1,10 @@
 AM_LDFLAGS += -L../../Hadrons
 
-bin_PROGRAMS = HadronsXmlRun FermionEigenPackCastToSingle
+bin_PROGRAMS = HadronsXmlRun HadronsFermionEP64To32
 
 HadronsXmlRun_SOURCES = HadronsXmlRun.cc
 HadronsXmlRun_LDADD   = -lHadrons -lGrid
 
-FermionEigenPackCastToSingle_SOURCES  = EigenPackCast.cc
-FermionEigenPackCastToSingle_CXXFLAGS = $(AM_CXXFLAGS) -DFIN=WilsonImplD::FermionField -DFOUT=WilsonImplF::FermionField
-FermionEigenPackCastToSingle_LDADD    = -lHadrons -lGrid
+HadronsFermionEP64To32_SOURCES  = EigenPackCast.cc
+HadronsFermionEP64To32_CXXFLAGS = $(AM_CXXFLAGS) -DFIN=WilsonImplD::FermionField -DFOUT=WilsonImplF::FermionField
+HadronsFermionEP64To32_LDADD    = -lHadrons -lGrid

From 44de727cd2e6a19ab64c1a36a86f40cb1f4db099 Mon Sep 17 00:00:00 2001
From: Antonin Portelli <antonin.portelli@me.com>
Date: Tue, 2 Oct 2018 19:51:09 +0100
Subject: [PATCH 25/39] Hadrons: eigenpack support for multiprecision I/O

---
 Hadrons/EigenPack.hpp              | 441 +++++++++++++++--------------
 Hadrons/Utilities/EigenPackCast.cc |  43 +--
 2 files changed, 249 insertions(+), 235 deletions(-)

diff --git a/Hadrons/EigenPack.hpp b/Hadrons/EigenPack.hpp
index 0be998b7..0e6f95d7 100644
--- a/Hadrons/EigenPack.hpp
+++ b/Hadrons/EigenPack.hpp
@@ -39,12 +39,12 @@ BEGIN_HADRONS_NAMESPACE
 #define HADRONS_DEFAULT_LANCZOS_NBASIS 60
 #endif
 
-#define HADRONS_DUMP_EP_METADATA \
+#define HADRONS_DUMP_EP_METADATA(record) \
 LOG(Message) << "Eigenpack metadata:" << std::endl;\
 LOG(Message) << "* operator" << std::endl;\
-LOG(Message) << record.operatorXml << std::endl;\
+LOG(Message) << (record).operatorXml << std::endl;\
 LOG(Message) << "* solver" << std::endl;\
-LOG(Message) << record.solverXml << std::endl;
+LOG(Message) << (record).solverXml << std::endl;
 
 struct PackRecord
 {
@@ -59,7 +59,172 @@ struct VecRecord: Serializable
     VecRecord(void): index(0), eval(0.) {}
 };
 
-template <typename F>
+namespace EigenPackIo
+{
+    void readHeader(PackRecord &record, ScidacReader &binReader)
+    {
+        std::string recordXml;
+
+        binReader.readLimeObject(recordXml, SCIDAC_FILE_XML);
+        XmlReader xmlReader(recordXml, true, "eigenPackPar");
+        xmlReader.push();
+        xmlReader.readCurrentSubtree(record.operatorXml);
+        xmlReader.nextElement();
+        xmlReader.readCurrentSubtree(record.solverXml);
+    }
+
+    template <typename T, typename TIo = T>
+    void readElement(T &evec, RealD &eval, const unsigned int index,
+                     ScidacReader &binReader, TIo *ioBuf = nullptr)
+    {
+        VecRecord vecRecord;
+
+        LOG(Message) << "Reading eigenvector " << index << std::endl;
+        if (ioBuf == nullptr)
+        {
+            binReader.readScidacFieldRecord(evec, vecRecord);
+        }
+        else
+        {
+            binReader.readScidacFieldRecord(*ioBuf, vecRecord);
+            precisionChange(evec, *ioBuf);
+        }
+        if (vecRecord.index != index)
+        {
+            HADRONS_ERROR(Io, "Eigenvector " + std::to_string(index) + " has a"
+                            + " wrong index (expected " + std::to_string(vecRecord.index) 
+                            + ")");
+        }
+        eval = vecRecord.eval;
+    }
+
+    template <typename T, typename TIo = T>
+    static void readPack(std::vector<T> &evec, std::vector<RealD> &eval,
+                         PackRecord &record, const std::string filename, 
+                         const unsigned int size, bool multiFile, 
+                         GridBase *gridIo = nullptr)
+    {
+        std::unique_ptr<TIo> ioBuf{nullptr};
+        ScidacReader         binReader;
+
+        if (typeHash<T>() != typeHash<TIo>())
+        {
+            if (gridIo == nullptr)
+            {
+                HADRONS_ERROR(Definition, 
+                              "I/O type different from vector type but null I/O grid passed");
+            }
+            ioBuf.reset(new TIo(gridIo));
+        }
+        if (multiFile)
+        {
+            std::string fullFilename;
+
+            for(int k = 0; k < size; ++k) 
+            {
+                fullFilename = filename + "/v" + std::to_string(k) + ".bin";
+                binReader.open(fullFilename);
+                readHeader(record, binReader);
+                readElement(evec[k], eval[k], k, binReader, ioBuf.get());
+                binReader.close();
+            }
+        }
+        else
+        {
+            binReader.open(filename);
+            readHeader(record, binReader);
+            for(int k = 0; k < size; ++k) 
+            {
+                readElement(evec[k], eval[k], k, binReader, ioBuf.get());
+            }
+            binReader.close();
+        }
+    }
+
+    void writeHeader(ScidacWriter &binWriter, PackRecord &record)
+    {
+        XmlWriter xmlWriter("", "eigenPackPar");
+
+        xmlWriter.pushXmlString(record.operatorXml);
+        xmlWriter.pushXmlString(record.solverXml);
+        binWriter.writeLimeObject(1, 1, xmlWriter, "parameters", SCIDAC_FILE_XML);
+    }
+
+    template <typename T, typename TIo = T>
+    void writeElement(ScidacWriter &binWriter, T &evec, RealD &eval, 
+                      const unsigned int index, TIo *ioBuf, 
+                      T *testBuf = nullptr)
+    {
+        VecRecord vecRecord;
+
+        LOG(Message) << "Writing eigenvector " << index << std::endl;
+        vecRecord.eval  = eval;
+        vecRecord.index = index;
+        if ((ioBuf == nullptr) || (testBuf == nullptr))
+        {
+            binWriter.writeScidacFieldRecord(evec, vecRecord, DEFAULT_ASCII_PREC);
+        }
+        else
+        {
+            precisionChange(*ioBuf, evec);
+            precisionChange(*testBuf, *ioBuf);
+            *testBuf -= evec;
+            LOG(Message) << "Precision diff norm^2 " << norm2(*testBuf) << std::endl;
+            binWriter.writeScidacFieldRecord(*ioBuf, vecRecord, DEFAULT_ASCII_PREC);
+        }   
+    }
+    
+    template <typename T, typename TIo = T>
+    static void writePack(const std::string filename, std::vector<T> &evec, 
+                          std::vector<RealD> &eval, PackRecord &record, 
+                          const unsigned int size, bool multiFile, 
+                          GridBase *gridIo = nullptr)
+    {
+        GridBase             *grid = evec[0]._grid;
+        std::unique_ptr<TIo> ioBuf{nullptr}; 
+        std::unique_ptr<T>   testBuf{nullptr};
+        ScidacWriter         binWriter(grid->IsBoss());
+
+        if (typeHash<T>() != typeHash<TIo>())
+        {
+            if (gridIo == nullptr)
+            {
+                HADRONS_ERROR(Definition, 
+                              "I/O type different from vector type but null I/O grid passed");
+            }
+            ioBuf.reset(new TIo(gridIo));
+            testBuf.reset(new T(grid));
+        }
+        if (multiFile)
+        {
+            std::string fullFilename;
+
+            for(int k = 0; k < size; ++k) 
+            {
+                fullFilename = filename + "/v" + std::to_string(k) + ".bin";
+
+                makeFileDir(fullFilename, grid);
+                binWriter.open(fullFilename);
+                writeHeader(binWriter, record);
+                writeElement(binWriter, evec[k], eval[k], k, ioBuf.get(), testBuf.get());
+                binWriter.close();
+            }
+        }
+        else
+        {
+            makeFileDir(filename, grid);
+            binWriter.open(filename);
+            writeHeader(binWriter, record);
+            for(int k = 0; k < size; ++k) 
+            {
+                writeElement(binWriter, evec[k], eval[k], k, ioBuf.get(), testBuf.get());
+            }
+            binWriter.close();
+        }
+    }
+}
+
+template <typename F, typename FIo = F>
 class EigenPack
 {
 public:
@@ -72,8 +237,17 @@ public:
     EigenPack(void)          = default;
     virtual ~EigenPack(void) = default;
 
-    EigenPack(const size_t size, GridBase *grid)
+    EigenPack(const size_t size, GridBase *grid, GridBase *gridIo = nullptr)
     {
+        if (typeHash<F>() != typeHash<FIo>())
+        {
+            if (gridIo == nullptr)
+            {
+                HADRONS_ERROR(Definition, 
+                              "I/O type different from vector type but null I/O grid passed");
+            }
+        }
+        gridIo_ = gridIo;
         resize(size, grid);
     }
 
@@ -85,225 +259,92 @@ public:
 
     virtual void read(const std::string fileStem, const bool multiFile, const int traj = -1)
     {
-        if (multiFile)
-        {
-            for(int k = 0; k < evec.size(); ++k)
-            {
-                basicReadSingle(evec[k], eval[k], evecFilename(fileStem, k, traj), k);
-                if (k == 0)
-                {
-                    HADRONS_DUMP_EP_METADATA;
-                }
-            }
-        }
-        else
-        {
-            basicRead(evec, eval, evecFilename(fileStem, -1, traj), evec.size());
-            HADRONS_DUMP_EP_METADATA;
-        }
+        EigenPackIo::readPack<F, FIo>(evec, eval, record, evecFilename(fileStem, traj, multiFile), evec.size(), multiFile, gridIo_);
+        HADRONS_DUMP_EP_METADATA(record);
     }
 
     virtual void write(const std::string fileStem, const bool multiFile, const int traj = -1)
     {
-        if (multiFile)
-        {
-            for(int k = 0; k < evec.size(); ++k)
-            {
-                basicWriteSingle(evecFilename(fileStem, k, traj), evec[k], eval[k], k);
-            }
-        }
-        else
-        {
-            basicWrite(evecFilename(fileStem, -1, traj), evec, eval, evec.size());
-        }
-    }
-
-    static void readHeader(PackRecord &record, ScidacReader &binReader)
-    {
-        std::string recordXml;
-
-        binReader.readLimeObject(recordXml, SCIDAC_FILE_XML);
-        XmlReader xmlReader(recordXml, true, "eigenPackPar");
-        xmlReader.push();
-        xmlReader.readCurrentSubtree(record.operatorXml);
-        xmlReader.nextElement();
-        xmlReader.readCurrentSubtree(record.solverXml);
-    }
-
-    template <typename T>
-    static void readElement(T &evec, VecRecord &vecRecord, ScidacReader &binReader)
-    {
-        binReader.readScidacFieldRecord(evec, vecRecord);
-    }
-
-    static void writeHeader(ScidacWriter &binWriter, PackRecord &record)
-    {
-        XmlWriter xmlWriter("", "eigenPackPar");
-
-        xmlWriter.pushXmlString(record.operatorXml);
-        xmlWriter.pushXmlString(record.solverXml);
-        binWriter.writeLimeObject(1, 1, xmlWriter, "parameters", SCIDAC_FILE_XML);
-    }
-
-    template <typename T>
-    static void writeElement(ScidacWriter &binWriter, T &evec, VecRecord &vecRecord)
-    {
-        binWriter.writeScidacFieldRecord(evec, vecRecord, DEFAULT_ASCII_PREC);
+        EigenPackIo::writePack<F, FIo>(evecFilename(fileStem, traj, multiFile), evec, eval, record, evec.size(), multiFile, gridIo_);
     }
 protected:
-    std::string evecFilename(const std::string stem, const int vec, const int traj)
+    std::string evecFilename(const std::string stem, const int traj, const bool multiFile)
     {
         std::string t = (traj < 0) ? "" : ("." + std::to_string(traj));
 
-        if (vec == -1)
+        if (multiFile)
         {
-            return stem + t + ".bin";
+            return stem + t;
         }
         else
         {
-            return stem + t + "/v" + std::to_string(vec) + ".bin";
+            return stem + t + ".bin";
         }
     }
 
-    template <typename T>
-    void basicRead(std::vector<T> &evec, std::vector<RealD> &eval,
-                   const std::string filename, const unsigned int size)
-    {
-        ScidacReader binReader;
-
-        binReader.open(filename);
-        readHeader(record, binReader);
-        for(int k = 0; k < size; ++k) 
-        {
-            VecRecord vecRecord;
-
-            LOG(Message) << "Reading eigenvector " << k << std::endl;
-            readElement(evec[k], vecRecord, binReader);
-            if (vecRecord.index != k)
-            {
-                HADRONS_ERROR(Io, "Eigenvector " + std::to_string(k) + " has a"
-                              + " wrong index (expected " + std::to_string(vecRecord.index) 
-                              + ") in file '" + filename + "'");
-            }
-            eval[k] = vecRecord.eval;
-        }
-        binReader.close();
-    }
-
-    template <typename T>
-    void basicReadSingle(T &evec, RealD &eval, const std::string filename, 
-                         const unsigned int index)
-    {
-        ScidacReader binReader;
-        VecRecord    vecRecord;
-
-        binReader.open(filename);
-        readHeader(record, binReader);
-        LOG(Message) << "Reading eigenvector " << index << std::endl;
-        readElement(evec, vecRecord, binReader);
-        if (vecRecord.index != index)
-        {
-            HADRONS_ERROR(Io, "Eigenvector " + std::to_string(index) + " has a"
-                          + " wrong index (expected " + std::to_string(vecRecord.index) 
-                          + ") in file '" + filename + "'");
-        }
-        eval = vecRecord.eval;
-        binReader.close();
-    }
-
-    template <typename T>
-    void basicWrite(const std::string filename, std::vector<T> &evec, 
-                    const std::vector<RealD> &eval, const unsigned int size)
-    {
-        ScidacWriter binWriter(evec[0]._grid->IsBoss());
-
-        makeFileDir(filename, evec[0]._grid);
-        binWriter.open(filename);
-        writeHeader(binWriter, record);
-        for(int k = 0; k < size; ++k) 
-        {
-            VecRecord vecRecord;
-
-            vecRecord.index = k;
-            vecRecord.eval  = eval[k];
-            LOG(Message) << "Writing eigenvector " << k << std::endl;
-            writeElement(binWriter, evec[k], vecRecord);
-        }
-        binWriter.close();
-    }
-
-    template <typename T>
-    void basicWriteSingle(const std::string filename, T &evec, 
-                          const RealD eval, const unsigned int index)
-    {
-        ScidacWriter binWriter(evec._grid->IsBoss());
-        VecRecord    vecRecord;
-
-        makeFileDir(filename, evec._grid);
-        binWriter.open(filename);
-        writeHeader(binWriter, record);
-        vecRecord.index = index;
-        vecRecord.eval  = eval;
-        LOG(Message) << "Writing eigenvector " << index << std::endl;
-        writeElement(binWriter, evec, vecRecord);
-        binWriter.close();
-    }
+    
+protected:
+    GridBase *gridIo_;
 };
 
-template <typename FineF, typename CoarseF>
-class CoarseEigenPack: public EigenPack<FineF>
+template <typename FineF, typename CoarseF, 
+          typename FineFIo = FineF, typename CoarseFIo = CoarseF>
+class CoarseEigenPack: public EigenPack<FineF, FineFIo>
 {
 public:
-    typedef CoarseF CoarseField;
-public:
-    std::vector<RealD>   evalCoarse;
+    typedef CoarseF CoarseField;         
     std::vector<CoarseF> evecCoarse;
+    std::vector<RealD>   evalCoarse;
 public:
     CoarseEigenPack(void)          = default;
     virtual ~CoarseEigenPack(void) = default;
 
     CoarseEigenPack(const size_t sizeFine, const size_t sizeCoarse, 
-                    GridBase *gridFine, GridBase *gridCoarse)
+                    GridBase *gridFine, GridBase *gridCoarse,
+                    GridBase *gridFineIo = nullptr, 
+                    GridBase *gridCoarseIo = nullptr)
     {
+        if (typeHash<FineF>() != typeHash<FineFIo>())
+        {
+            if (gridFineIo == nullptr)
+            {
+                HADRONS_ERROR(Definition, 
+                              "Fine I/O type different from vector type but null fine I/O grid passed");
+            }
+        }
+        if (typeHash<CoarseF>() != typeHash<CoarseFIo>())
+        {
+            if (gridCoarseIo == nullptr)
+            {
+                HADRONS_ERROR(Definition, 
+                              "Coarse I/O type different from vector type but null coarse I/O grid passed");
+            }
+        }
+        this->gridIo_ = gridFineIo;
+        gridCoarseIo_ = gridCoarseIo;
         resize(sizeFine, sizeCoarse, gridFine, gridCoarse);
     }
 
     void resize(const size_t sizeFine, const size_t sizeCoarse, 
                 GridBase *gridFine, GridBase *gridCoarse)
     {
-        EigenPack<FineF>::resize(sizeFine, gridFine);
+        EigenPack<FineF, FineFIo>::resize(sizeFine, gridFine);
         evalCoarse.resize(sizeCoarse);
         evecCoarse.resize(sizeCoarse, gridCoarse);
     }
 
     void readFine(const std::string fileStem, const bool multiFile, const int traj = -1)
     {
-        if (multiFile)
-        {
-            for(int k = 0; k < this->evec.size(); ++k)
-            {
-                this->basicReadSingle(this->evec[k], this->eval[k], this->evecFilename(fileStem + "_fine", k, traj), k);
-            }
-        }
-        else
-        {
-            this->basicRead(this->evec, this->eval, this->evecFilename(fileStem + "_fine", -1, traj), this->evec.size());
-        }
+        EigenPack<FineF, FineFIo>::read(fileStem + "_fine", multiFile, traj);
     }
 
     void readCoarse(const std::string fileStem, const bool multiFile, const int traj = -1)
     {
-        if (multiFile)
-        {
-            for(int k = 0; k < evecCoarse.size(); ++k)
-            {
-                this->basicReadSingle(evecCoarse[k], evalCoarse[k], this->evecFilename(fileStem + "_coarse", k, traj), k);
-            }
-        }
-        else
-        {
-            this->basicRead(evecCoarse, evalCoarse, this->evecFilename(fileStem + "_coarse", -1, traj), evecCoarse.size());
-        }
+        PackRecord dummy;
+
+        EigenPackIo::readPack<CoarseF, CoarseFIo>(evecCoarse, evalCoarse, dummy, 
+                              this->evecFilename(fileStem + "_coarse", traj, multiFile), 
+                              evecCoarse.size(), multiFile, gridCoarseIo_);
     }
 
     virtual void read(const std::string fileStem, const bool multiFile, const int traj = -1)
@@ -314,32 +355,14 @@ public:
 
     void writeFine(const std::string fileStem, const bool multiFile, const int traj = -1)
     {
-        if (multiFile)
-        {
-            for(int k = 0; k < this->evec.size(); ++k)
-            {
-                this->basicWriteSingle(this->evecFilename(fileStem + "_fine", k, traj), this->evec[k], this->eval[k], k);
-            }
-        }
-        else
-        {
-            this->basicWrite(this->evecFilename(fileStem + "_fine", -1, traj), this->evec, this->eval, this->evec.size());
-        }
+        EigenPack<FineF, FineFIo>::write(fileStem + "_fine", multiFile, traj);
     }
 
     void writeCoarse(const std::string fileStem, const bool multiFile, const int traj = -1)
     {
-        if (multiFile)
-        {
-            for(int k = 0; k < evecCoarse.size(); ++k)
-            {
-                this->basicWriteSingle(this->evecFilename(fileStem + "_coarse", k, traj), evecCoarse[k], evalCoarse[k], k);
-            }
-        }
-        else
-        {
-            this->basicWrite(this->evecFilename(fileStem + "_coarse", -1, traj), evecCoarse, evalCoarse, evecCoarse.size());
-        }
+        EigenPackIo::writePack<CoarseF, CoarseFIo>(this->evecFilename(fileStem + "_coarse", traj, multiFile), 
+                                                   evecCoarse, evalCoarse, this->record, 
+                                                   evecCoarse.size(), multiFile, gridCoarseIo_);
     }
     
     virtual void write(const std::string fileStem, const bool multiFile, const int traj = -1)
@@ -347,16 +370,22 @@ public:
         writeFine(fileStem, multiFile, traj);
         writeCoarse(fileStem, multiFile, traj);
     }
+private:
+    GridBase *gridCoarseIo_;
 };
 
-template <typename FImpl>
-using FermionEigenPack = EigenPack<typename FImpl::FermionField>;
+template <typename FImpl, typename FImplIo = FImpl>
+using FermionEigenPack = EigenPack<typename FImpl::FermionField, typename FImplIo::FermionField>;
 
-template <typename FImpl, int nBasis>
+template <typename FImpl, int nBasis, typename FImplIo = FImpl>
 using CoarseFermionEigenPack = CoarseEigenPack<
     typename FImpl::FermionField,
     typename LocalCoherenceLanczos<typename FImpl::SiteSpinor, 
                                    typename FImpl::SiteComplex, 
+                                   nBasis>::CoarseField,
+    typename FImplIo::FermionField,
+    typename LocalCoherenceLanczos<typename FImplIo::SiteSpinor, 
+                                   typename FImplIo::SiteComplex, 
                                    nBasis>::CoarseField>;
 
 #undef HADRONS_DUMP_EP_METADATA
diff --git a/Hadrons/Utilities/EigenPackCast.cc b/Hadrons/Utilities/EigenPackCast.cc
index cf35a550..7247c92d 100644
--- a/Hadrons/Utilities/EigenPackCast.cc
+++ b/Hadrons/Utilities/EigenPackCast.cc
@@ -59,8 +59,12 @@ void convert(const std::string outFilename, const std::string inFilename,
         }
     }
 
-    FOut bufOut(gOut);
-    FIn  bufIn(gIn), testIn(gIn);
+    FOut         bufOut(gOut);
+    FIn          bufIn(gIn), testIn(gIn);
+    ScidacWriter binWriter(gOut->IsBoss());
+    ScidacReader binReader;
+    PackRecord   record;
+    RealD        eval;
 
     LOG(Message) << "==== EIGENPACK CONVERSION" << std::endl;
     LOG(Message) << "Lattice       : " << gIn->GlobalDimensions() << std::endl;
@@ -75,10 +79,6 @@ void convert(const std::string outFilename, const std::string inFilename,
     {
         for(unsigned int k = 0; k < size; ++k)
         {
-            ScidacWriter binWriter(gOut->IsBoss());
-            ScidacReader binReader;
-            PackRecord   record;
-            VecRecord    vecRecord;
             std::string  outV = outFilename + "/v" + std::to_string(k) + ".bin";
             std::string  inV  = inFilename + "/v" + std::to_string(k) + ".bin";
 
@@ -88,40 +88,25 @@ void convert(const std::string outFilename, const std::string inFilename,
             makeFileDir(outV, gOut);
             binWriter.open(outV);
             binReader.open(inV);
-            EPIn::readHeader(record, binReader);
-            EPOut::writeHeader(binWriter, record);
-            EPIn::readElement(bufIn, vecRecord, binReader);
-            precisionChange(bufOut, bufIn);
-            precisionChange(testIn, bufOut);
-            testIn -= bufIn;
-            LOG(Message) << "Diff norm^2: " << norm2(testIn) << std::endl;
-            EPOut::writeElement(binWriter, bufOut, vecRecord);
+            EigenPackIo::readHeader(record, binReader);
+            EigenPackIo::writeHeader(binWriter, record);
+            EigenPackIo::readElement<FIn>(bufIn, eval, k, binReader);
+            EigenPackIo::writeElement<FIn, FOut>(binWriter, bufIn, eval, k, &bufOut, &testIn);
             binWriter.close();
             binReader.close();
         }
     }
     else
     {
-        ScidacWriter binWriter(gOut->IsBoss());
-        ScidacReader binReader;
-        PackRecord   record;
-
         makeFileDir(outFilename, gOut);
         binWriter.open(outFilename);
         binReader.open(inFilename);
-        EPIn::readHeader(record, binReader);
-        EPOut::writeHeader(binWriter, record);
+        EigenPackIo::readHeader(record, binReader);
+        EigenPackIo::writeHeader(binWriter, record);
         for(unsigned int k = 0; k < size; ++k)
         {
-            VecRecord vecRecord;
-
-            LOG(Message) << "==== Converting vector " << k << std::endl;
-            EPIn::readElement(bufIn, vecRecord, binReader);
-            precisionChange(bufOut, bufIn);
-            precisionChange(testIn, bufOut);
-            testIn -= bufIn;
-            LOG(Message) << "Diff norm^2: " << norm2(testIn) << std::endl;
-            EPOut::writeElement(binWriter, bufOut, vecRecord);
+            EigenPackIo::readElement<FIn>(bufIn, eval, k, binReader);
+            EigenPackIo::writeElement<FIn, FOut>(binWriter, bufIn, eval, k, &bufOut, &testIn);
         }
         binWriter.close();
         binReader.close();

From 118cca4681a9f23f532d890266ec0a41fd16f032 Mon Sep 17 00:00:00 2001
From: Antonin Portelli <antonin.portelli@me.com>
Date: Tue, 2 Oct 2018 20:08:49 +0100
Subject: [PATCH 26/39] Hadrons: linking fix

---
 Hadrons/EigenPack.hpp | 4 ++--
 1 file changed, 2 insertions(+), 2 deletions(-)

diff --git a/Hadrons/EigenPack.hpp b/Hadrons/EigenPack.hpp
index 0e6f95d7..5388851d 100644
--- a/Hadrons/EigenPack.hpp
+++ b/Hadrons/EigenPack.hpp
@@ -61,7 +61,7 @@ struct VecRecord: Serializable
 
 namespace EigenPackIo
 {
-    void readHeader(PackRecord &record, ScidacReader &binReader)
+    inline void readHeader(PackRecord &record, ScidacReader &binReader)
     {
         std::string recordXml;
 
@@ -141,7 +141,7 @@ namespace EigenPackIo
         }
     }
 
-    void writeHeader(ScidacWriter &binWriter, PackRecord &record)
+    inline void writeHeader(ScidacWriter &binWriter, PackRecord &record)
     {
         XmlWriter xmlWriter("", "eigenPackPar");
 

From b351103c292542bebc49ff9b1ed928923b373223 Mon Sep 17 00:00:00 2001
From: Antonin Portelli <antonin.portelli@me.com>
Date: Tue, 2 Oct 2018 21:07:56 +0100
Subject: [PATCH 27/39] Hadrons: eigenpack load module with 32bit I/O

---
 Hadrons/EigenPack.hpp                 | 3 ++-
 Hadrons/Modules/MIO/LoadEigenPack.cc  | 2 +-
 Hadrons/Modules/MIO/LoadEigenPack.hpp | 3 ++-
 3 files changed, 5 insertions(+), 3 deletions(-)

diff --git a/Hadrons/EigenPack.hpp b/Hadrons/EigenPack.hpp
index 5388851d..4c122a37 100644
--- a/Hadrons/EigenPack.hpp
+++ b/Hadrons/EigenPack.hpp
@@ -228,7 +228,8 @@ template <typename F, typename FIo = F>
 class EigenPack
 {
 public:
-    typedef F Field;
+    typedef F   Field;
+    typedef FIo FieldIo;
 public:
     std::vector<RealD> eval;
     std::vector<F>     evec;
diff --git a/Hadrons/Modules/MIO/LoadEigenPack.cc b/Hadrons/Modules/MIO/LoadEigenPack.cc
index 7da4e14a..f0ae63c3 100644
--- a/Hadrons/Modules/MIO/LoadEigenPack.cc
+++ b/Hadrons/Modules/MIO/LoadEigenPack.cc
@@ -32,4 +32,4 @@ using namespace Hadrons;
 using namespace MIO;
 
 template class Grid::Hadrons::MIO::TLoadEigenPack<FermionEigenPack<FIMPL>>;
-
+template class Grid::Hadrons::MIO::TLoadEigenPack<FermionEigenPack<FIMPL, FIMPLF>>;
diff --git a/Hadrons/Modules/MIO/LoadEigenPack.hpp b/Hadrons/Modules/MIO/LoadEigenPack.hpp
index 83ef1d0c..330d35ad 100644
--- a/Hadrons/Modules/MIO/LoadEigenPack.hpp
+++ b/Hadrons/Modules/MIO/LoadEigenPack.hpp
@@ -54,7 +54,7 @@ template <typename Pack>
 class TLoadEigenPack: public Module<LoadEigenPackPar>
 {
 public:
-    typedef EigenPack<typename Pack::Field> BasePack;
+    typedef EigenPack<typename Pack::Field, typename Pack::FieldIo> BasePack;
 public:
     // constructor
     TLoadEigenPack(const std::string name);
@@ -70,6 +70,7 @@ public:
 };
 
 MODULE_REGISTER_TMP(LoadFermionEigenPack, TLoadEigenPack<FermionEigenPack<FIMPL>>, MIO);
+MODULE_REGISTER_TMP(LoadFermionEigenPackIo32, ARG(TLoadEigenPack<FermionEigenPack<FIMPL, FIMPLF>>), MIO);
 
 /******************************************************************************
  *                    TLoadEigenPack implementation                           *

From 52569d98d8d46d5b248eaff0d06c9df042d0c1fb Mon Sep 17 00:00:00 2001
From: Antonin Portelli <antonin.portelli@me.com>
Date: Wed, 3 Oct 2018 14:24:43 +0100
Subject: [PATCH 28/39] Hadrons: multiprec eigenpack I/O fix

---
 Hadrons/Modules/MIO/LoadEigenPack.hpp | 13 ++++++++++---
 1 file changed, 10 insertions(+), 3 deletions(-)

diff --git a/Hadrons/Modules/MIO/LoadEigenPack.hpp b/Hadrons/Modules/MIO/LoadEigenPack.hpp
index 330d35ad..99b6d866 100644
--- a/Hadrons/Modules/MIO/LoadEigenPack.hpp
+++ b/Hadrons/Modules/MIO/LoadEigenPack.hpp
@@ -54,7 +54,9 @@ template <typename Pack>
 class TLoadEigenPack: public Module<LoadEigenPackPar>
 {
 public:
-    typedef EigenPack<typename Pack::Field, typename Pack::FieldIo> BasePack;
+    typedef typename Pack::Field      Field;
+    typedef typename Pack::FieldIo    FieldIo;
+    typedef EigenPack<Field, FieldIo> BasePack;
 public:
     // constructor
     TLoadEigenPack(const std::string name);
@@ -102,9 +104,14 @@ std::vector<std::string> TLoadEigenPack<Pack>::getOutput(void)
 template <typename Pack>
 void TLoadEigenPack<Pack>::setup(void)
 {
-    env().createGrid(par().Ls);
+    GridBase *gridIo = nullptr;
+
+    if (typeHash<Field>() != typeHash<FieldIo>())
+    {
+        gridIo = envGetRbGrid(FieldIo, par().Ls);
+    }
     envCreateDerived(BasePack, Pack, getName(), par().Ls, par().size, 
-                     env().getRbGrid(par().Ls));
+                     envGetRbGrid(Field, par().Ls), gridIo);
 }
 
 // execution ///////////////////////////////////////////////////////////////////

From 5a3e83ff7b85f74a728c3b07960c6ac4445adc49 Mon Sep 17 00:00:00 2001
From: Antonin Portelli <antonin.portelli@me.com>
Date: Wed, 3 Oct 2018 14:45:01 +0100
Subject: [PATCH 29/39] Hadrons: new layer in eigenpacks class hierarchy

---
 Hadrons/EigenPack.hpp                         | 50 +++++++++++++------
 Hadrons/Modules/MIO/LoadEigenPack.hpp         |  6 +--
 Hadrons/Modules/MSolver/A2AVectors.cc         |  4 +-
 Hadrons/Modules/MSolver/A2AVectors.hpp        |  4 +-
 Hadrons/Modules/MSolver/Guesser.hpp           |  2 +-
 .../Modules/MSolver/LocalCoherenceLanczos.hpp |  2 +-
 6 files changed, 43 insertions(+), 25 deletions(-)

diff --git a/Hadrons/EigenPack.hpp b/Hadrons/EigenPack.hpp
index 4c122a37..44dd84ff 100644
--- a/Hadrons/EigenPack.hpp
+++ b/Hadrons/EigenPack.hpp
@@ -224,21 +224,41 @@ namespace EigenPackIo
     }
 }
 
-template <typename F, typename FIo = F>
-class EigenPack
+template <typename F>
+class BaseEigenPack
 {
 public:
-    typedef F   Field;
-    typedef FIo FieldIo;
+    typedef F Field;
 public:
     std::vector<RealD> eval;
     std::vector<F>     evec;
     PackRecord         record;
+public:
+    BaseEigenPack(void)          = default;
+    BaseEigenPack(const size_t size, GridBase *grid)
+    {
+        resize(size, grid);
+    }
+    virtual ~BaseEigenPack(void) = default;
+    void resize(const size_t size, GridBase *grid)
+    {
+        eval.resize(size);
+        evec.resize(size, grid);
+    }
+};
+
+template <typename F, typename FIo = F>
+class EigenPack: public BaseEigenPack<F>
+{
+public:
+    typedef F   Field;
+    typedef FIo FieldIo;
 public:
     EigenPack(void)          = default;
     virtual ~EigenPack(void) = default;
 
     EigenPack(const size_t size, GridBase *grid, GridBase *gridIo = nullptr)
+    : BaseEigenPack<F>(size, grid)
     {
         if (typeHash<F>() != typeHash<FIo>())
         {
@@ -249,24 +269,21 @@ public:
             }
         }
         gridIo_ = gridIo;
-        resize(size, grid);
-    }
-
-    void resize(const size_t size, GridBase *grid)
-    {
-        eval.resize(size);
-        evec.resize(size, grid);
     }
 
     virtual void read(const std::string fileStem, const bool multiFile, const int traj = -1)
     {
-        EigenPackIo::readPack<F, FIo>(evec, eval, record, evecFilename(fileStem, traj, multiFile), evec.size(), multiFile, gridIo_);
-        HADRONS_DUMP_EP_METADATA(record);
+        EigenPackIo::readPack<F, FIo>(this->evec, this->eval, this->record, 
+                                      evecFilename(fileStem, traj, multiFile), 
+                                      this->evec.size(), multiFile, gridIo_);
+        HADRONS_DUMP_EP_METADATA(this->record);
     }
 
     virtual void write(const std::string fileStem, const bool multiFile, const int traj = -1)
     {
-        EigenPackIo::writePack<F, FIo>(evecFilename(fileStem, traj, multiFile), evec, eval, record, evec.size(), multiFile, gridIo_);
+        EigenPackIo::writePack<F, FIo>(evecFilename(fileStem, traj, multiFile), 
+                                       this->evec, this->eval, this->record, 
+                                       this->evec.size(), multiFile, gridIo_);
     }
 protected:
     std::string evecFilename(const std::string stem, const int traj, const bool multiFile)
@@ -282,8 +299,6 @@ protected:
             return stem + t + ".bin";
         }
     }
-
-    
 protected:
     GridBase *gridIo_;
 };
@@ -375,6 +390,9 @@ private:
     GridBase *gridCoarseIo_;
 };
 
+template <typename FImpl>
+using BaseFermionEigenPack = BaseEigenPack<typename FImpl::FermionField>;
+
 template <typename FImpl, typename FImplIo = FImpl>
 using FermionEigenPack = EigenPack<typename FImpl::FermionField, typename FImplIo::FermionField>;
 
diff --git a/Hadrons/Modules/MIO/LoadEigenPack.hpp b/Hadrons/Modules/MIO/LoadEigenPack.hpp
index 99b6d866..2302b15d 100644
--- a/Hadrons/Modules/MIO/LoadEigenPack.hpp
+++ b/Hadrons/Modules/MIO/LoadEigenPack.hpp
@@ -54,9 +54,9 @@ template <typename Pack>
 class TLoadEigenPack: public Module<LoadEigenPackPar>
 {
 public:
-    typedef typename Pack::Field      Field;
-    typedef typename Pack::FieldIo    FieldIo;
-    typedef EigenPack<Field, FieldIo> BasePack;
+    typedef typename Pack::Field   Field;
+    typedef typename Pack::FieldIo FieldIo;
+    typedef BaseEigenPack<Field>   BasePack;
 public:
     // constructor
     TLoadEigenPack(const std::string name);
diff --git a/Hadrons/Modules/MSolver/A2AVectors.cc b/Hadrons/Modules/MSolver/A2AVectors.cc
index 808a49e8..f5e9fd6c 100644
--- a/Hadrons/Modules/MSolver/A2AVectors.cc
+++ b/Hadrons/Modules/MSolver/A2AVectors.cc
@@ -32,5 +32,5 @@ using namespace Grid;
 using namespace Hadrons;
 using namespace MSolver;
 
-template class Grid::Hadrons::MSolver::TA2AVectors<FIMPL, FermionEigenPack<FIMPL>>;
-template class Grid::Hadrons::MSolver::TA2AVectors<ZFIMPL, FermionEigenPack<ZFIMPL>>;
+template class Grid::Hadrons::MSolver::TA2AVectors<FIMPL, BaseFermionEigenPack<FIMPL>>;
+template class Grid::Hadrons::MSolver::TA2AVectors<ZFIMPL, BaseFermionEigenPack<ZFIMPL>>;
diff --git a/Hadrons/Modules/MSolver/A2AVectors.hpp b/Hadrons/Modules/MSolver/A2AVectors.hpp
index 608e05b9..ee7cfa30 100644
--- a/Hadrons/Modules/MSolver/A2AVectors.hpp
+++ b/Hadrons/Modules/MSolver/A2AVectors.hpp
@@ -79,9 +79,9 @@ private:
 };
 
 MODULE_REGISTER_TMP(A2AVectors, 
-    ARG(TA2AVectors<FIMPL, FermionEigenPack<FIMPL>>), MSolver);
+    ARG(TA2AVectors<FIMPL, BaseFermionEigenPack<FIMPL>>), MSolver);
 MODULE_REGISTER_TMP(ZA2AVectors, 
-    ARG(TA2AVectors<ZFIMPL, FermionEigenPack<ZFIMPL>>), MSolver);
+    ARG(TA2AVectors<ZFIMPL, BaseFermionEigenPack<ZFIMPL>>), MSolver);
 
 /******************************************************************************
  *                       TA2AVectors implementation                           *
diff --git a/Hadrons/Modules/MSolver/Guesser.hpp b/Hadrons/Modules/MSolver/Guesser.hpp
index 5b4582d6..7063198d 100644
--- a/Hadrons/Modules/MSolver/Guesser.hpp
+++ b/Hadrons/Modules/MSolver/Guesser.hpp
@@ -39,7 +39,7 @@ std::shared_ptr<LinearFunction<typename FImpl::FermionField>>
 makeGuesser(const std::string epackName)
 {
     typedef typename FImpl::FermionField                  FermionField;
-    typedef FermionEigenPack<FImpl>                       EPack;
+    typedef BaseFermionEigenPack<FImpl>                   EPack;
     typedef CoarseFermionEigenPack<FImpl, nBasis>         CoarseEPack;
     typedef DeflatedGuesser<FermionField>                 FineGuesser;
     typedef LocalCoherenceDeflatedGuesser<
diff --git a/Hadrons/Modules/MSolver/LocalCoherenceLanczos.hpp b/Hadrons/Modules/MSolver/LocalCoherenceLanczos.hpp
index 4d942e45..7242eaf9 100644
--- a/Hadrons/Modules/MSolver/LocalCoherenceLanczos.hpp
+++ b/Hadrons/Modules/MSolver/LocalCoherenceLanczos.hpp
@@ -63,7 +63,7 @@ public:
     typedef LocalCoherenceLanczos<typename FImpl::SiteSpinor, 
                                   typename FImpl::SiteComplex, 
                                   nBasis>                LCL;
-    typedef FermionEigenPack<FImpl>                      BasePack;
+    typedef BaseFermionEigenPack<FImpl>                  BasePack;
     typedef CoarseFermionEigenPack<FImpl, nBasis>        CoarsePack;
     typedef HADRONS_DEFAULT_SCHUR_OP<FMat, FermionField> SchurFMat;
 public:

From a1825d1f59de715337a736d81d28f98bfd8b8d53 Mon Sep 17 00:00:00 2001
From: Antonin Portelli <antonin.portelli@me.com>
Date: Thu, 4 Oct 2018 18:25:26 +0100
Subject: [PATCH 30/39] Hadrons: final fix for multiprec eigenpacks

---
 Hadrons/Modules/MSource/Point.hpp | 5 +++++
 Hadrons/Utilities/Makefile.am     | 6 ++----
 2 files changed, 7 insertions(+), 4 deletions(-)

diff --git a/Hadrons/Modules/MSource/Point.hpp b/Hadrons/Modules/MSource/Point.hpp
index 082c04e8..2cc1bcd1 100644
--- a/Hadrons/Modules/MSource/Point.hpp
+++ b/Hadrons/Modules/MSource/Point.hpp
@@ -126,6 +126,11 @@ void TPoint<FImpl>::execute(void)
     auto             &src     = envGet(PropagatorField, getName());
     SitePropagator   id;
     
+    if (position.size() != env().getNd())
+    {
+        HADRONS_ERROR(Size, "position has " + std::to_string(position.size())
+                      + " components (must have " + std::to_string(env().getNd()) + ")");
+    }
     id  = 1.;
     src = zero;
     pokeSite(id, src, position);
diff --git a/Hadrons/Utilities/Makefile.am b/Hadrons/Utilities/Makefile.am
index 7655b2e2..529def24 100644
--- a/Hadrons/Utilities/Makefile.am
+++ b/Hadrons/Utilities/Makefile.am
@@ -1,10 +1,8 @@
-AM_LDFLAGS += -L../../Hadrons
-
 bin_PROGRAMS = HadronsXmlRun HadronsFermionEP64To32
 
 HadronsXmlRun_SOURCES = HadronsXmlRun.cc
-HadronsXmlRun_LDADD   = -lHadrons -lGrid
+HadronsXmlRun_LDADD   = ../libHadrons.a ../../Grid/libGrid.a
 
 HadronsFermionEP64To32_SOURCES  = EigenPackCast.cc
 HadronsFermionEP64To32_CXXFLAGS = $(AM_CXXFLAGS) -DFIN=WilsonImplD::FermionField -DFOUT=WilsonImplF::FermionField
-HadronsFermionEP64To32_LDADD    = -lHadrons -lGrid
+HadronsFermionEP64To32_LDADD    = ../libHadrons.a ../../Grid/libGrid.a

From 7c57cac670675bd3a178fd333cfee6adaed5c63d Mon Sep 17 00:00:00 2001
From: Peter Boyle <peterboyle@Peters-MacBook-Pro.local>
Date: Thu, 4 Oct 2018 18:57:41 +0100
Subject: [PATCH 31/39] Adding A2A utils class for containing kernels.

---
 Grid/qcd/utils/A2Autils.h | 1185 +++++++++++++++++++++++++++++++++++++
 Grid/qcd/utils/Utils.h    |    6 +
 2 files changed, 1191 insertions(+)
 create mode 100644 Grid/qcd/utils/A2Autils.h

diff --git a/Grid/qcd/utils/A2Autils.h b/Grid/qcd/utils/A2Autils.h
new file mode 100644
index 00000000..c75f8a1c
--- /dev/null
+++ b/Grid/qcd/utils/A2Autils.h
@@ -0,0 +1,1185 @@
+#pragma once
+//#include <Grid/Hadrons/Global.hpp>
+#include <Grid/Eigen/unsupported/CXX11/Tensor>
+
+namespace Grid {
+namespace QCD {
+
+#undef DELTA_F_EQ_2
+
+template <typename FImpl>
+class A2Autils 
+{
+public:
+  typedef typename FImpl::ComplexField ComplexField;
+  typedef typename FImpl::FermionField FermionField;
+  typedef typename FImpl::PropagatorField PropagatorField;
+
+  typedef typename FImpl::SiteSpinor vobj;
+  typedef typename vobj::scalar_object sobj;
+  typedef typename vobj::scalar_type scalar_type;
+  typedef typename vobj::vector_type vector_type;
+
+  typedef iSpinMatrix<vector_type> SpinMatrix_v;
+  typedef iSpinMatrix<scalar_type> SpinMatrix_s;
+  typedef iSinglet<vector_type> Scalar_v;
+  typedef iSinglet<scalar_type> Scalar_s;
+
+  typedef iSpinColourMatrix<vector_type> SpinColourMatrix_v;
+
+  static void MesonField(Eigen::Tensor<ComplexD,5> &mat, 
+			 const FermionField *lhs_wi,
+			 const FermionField *rhs_vj,
+			 std::vector<Gamma::Algebra> gammas,
+			 const std::vector<ComplexField > &mom,
+			 int orthogdim);
+
+  static void PionFieldWVmom(Eigen::Tensor<ComplexD,4> &mat, 
+			     const FermionField *wi,
+			     const FermionField *vj,
+			     const std::vector<ComplexField > &mom,
+			     int orthogdim);
+
+  static void PionFieldXX(Eigen::Tensor<ComplexD,3> &mat, 
+			  const FermionField *wi,
+			  const FermionField *vj,
+			  int orthogdim,
+			  int g5);
+  
+  static void PionFieldWV(Eigen::Tensor<ComplexD,3> &mat, 
+			  const FermionField *wi,
+			  const FermionField *vj,
+			  int orthogdim);
+  static void PionFieldWW(Eigen::Tensor<ComplexD,3> &mat, 
+			  const FermionField *wi,
+			  const FermionField *wj,
+			  int orthogdim);
+  static void PionFieldVV(Eigen::Tensor<ComplexD,3> &mat, 
+			  const FermionField *vi,
+			  const FermionField *vj,
+			  int orthogdim);
+
+  static void ContractWWVV(std::vector<PropagatorField> &WWVV,
+			   const Eigen::Tensor<ComplexD,3> &WW_sd,
+			   const FermionField *vs,
+			   const FermionField *vd);
+
+  static void ContractFourQuarkColourDiagonal(const PropagatorField &WWVV0,
+					      const PropagatorField &WWVV1,
+					      const std::vector<Gamma> &gamma0,
+					      const std::vector<Gamma> &gamma1,
+					      ComplexField &O_trtr,
+					      ComplexField &O_fig8);
+
+  static void ContractFourQuarkColourMix(const PropagatorField &WWVV0,
+					 const PropagatorField &WWVV1,
+					 const std::vector<Gamma> &gamma0,
+					 const std::vector<Gamma> &gamma1,
+					 ComplexField &O_trtr,
+					 ComplexField &O_fig8);
+#ifdef DELTA_F_EQ_2
+  static void DeltaFeq2(int dt_min,int dt_max,
+			Eigen::Tensor<ComplexD,2> &dF2_fig8,
+			Eigen::Tensor<ComplexD,2> &dF2_trtr,
+			Eigen::Tensor<ComplexD,2> &dF2_fig8_mix,
+			Eigen::Tensor<ComplexD,2> &dF2_trtr_mix,
+			Eigen::Tensor<ComplexD,1> &denom_A0,
+			Eigen::Tensor<ComplexD,1> &denom_P,
+			Eigen::Tensor<ComplexD,3> &WW_sd, 
+			const FermionField *vs,
+			const FermionField *vd,
+			int orthogdim);
+#endif
+};
+
+template<class FImpl>
+void A2Autils<FImpl>::MesonField(Eigen::Tensor<ComplexD,5> &mat, 
+				 const FermionField *lhs_wi,
+				 const FermionField *rhs_vj,
+				 std::vector<Gamma::Algebra> gammas,
+				 const std::vector<ComplexField > &mom,
+				 int orthogdim) 
+{
+  typedef typename FImpl::SiteSpinor vobj;
+
+  typedef typename vobj::scalar_object sobj;
+  typedef typename vobj::scalar_type scalar_type;
+  typedef typename vobj::vector_type vector_type;
+
+  typedef iSpinMatrix<vector_type> SpinMatrix_v;
+  typedef iSpinMatrix<scalar_type> SpinMatrix_s;
+  
+  int Lblock = mat.dimension(3); 
+  int Rblock = mat.dimension(4);
+
+  GridBase *grid = lhs_wi[0]._grid;
+  
+  const int    Nd = grid->_ndimension;
+  const int Nsimd = grid->Nsimd();
+
+  int Nt     = grid->GlobalDimensions()[orthogdim];
+  int Ngamma = gammas.size();
+  int Nmom   = mom.size();
+
+  int fd=grid->_fdimensions[orthogdim];
+  int ld=grid->_ldimensions[orthogdim];
+  int rd=grid->_rdimensions[orthogdim];
+
+  // will locally sum vectors first
+  // sum across these down to scalars
+  // splitting the SIMD
+  int MFrvol = rd*Lblock*Rblock*Nmom;
+  int MFlvol = ld*Lblock*Rblock*Nmom;
+
+  Vector<SpinMatrix_v > lvSum(MFrvol);
+  parallel_for (int r = 0; r < MFrvol; r++){
+    lvSum[r] = zero;
+  }
+
+  Vector<SpinMatrix_s > lsSum(MFlvol);             
+  parallel_for (int r = 0; r < MFlvol; r++){
+    lsSum[r]=scalar_type(0.0);
+  }
+
+  int e1=    grid->_slice_nblock[orthogdim];
+  int e2=    grid->_slice_block [orthogdim];
+  int stride=grid->_slice_stride[orthogdim];
+
+  // potentially wasting cores here if local time extent too small
+  parallel_for(int r=0;r<rd;r++){
+
+    int so=r*grid->_ostride[orthogdim]; // base offset for start of plane 
+
+    for(int n=0;n<e1;n++){
+      for(int b=0;b<e2;b++){
+
+	int ss= so+n*stride+b;
+
+	for(int i=0;i<Lblock;i++){
+
+	  auto left = conjugate(lhs_wi[i]._odata[ss]);
+
+	  for(int j=0;j<Rblock;j++){
+
+	    SpinMatrix_v vv;
+	    auto right = rhs_vj[j]._odata[ss];
+	    for(int s1=0;s1<Ns;s1++){
+	    for(int s2=0;s2<Ns;s2++){
+	      vv()(s1,s2)() = left()(s2)(0) * right()(s1)(0)
+		+             left()(s2)(1) * right()(s1)(1)
+		+             left()(s2)(2) * right()(s1)(2);
+	    }}
+	    
+	    // After getting the sitewise product do the mom phase loop
+	    int base = Nmom*i+Nmom*Lblock*j+Nmom*Lblock*Rblock*r;
+	    for ( int m=0;m<Nmom;m++){
+	      int idx = m+base;
+	      auto phase = mom[m]._odata[ss];
+	      mac(&lvSum[idx],&vv,&phase);
+	    }
+	  
+	  }
+	}
+      }
+    }
+  }
+
+
+  // Sum across simd lanes in the plane, breaking out orthog dir.
+  parallel_for(int rt=0;rt<rd;rt++){
+
+    std::vector<int> icoor(Nd);
+    std::vector<SpinMatrix_s> extracted(Nsimd);               
+
+    for(int i=0;i<Lblock;i++){
+    for(int j=0;j<Rblock;j++){
+    for(int m=0;m<Nmom;m++){
+
+      int ij_rdx = m+Nmom*i+Nmom*Lblock*j+Nmom*Lblock*Rblock*rt;
+
+      extract(lvSum[ij_rdx],extracted);
+
+      for(int idx=0;idx<Nsimd;idx++){
+
+	grid->iCoorFromIindex(icoor,idx);
+
+	int ldx    = rt+icoor[orthogdim]*rd;
+
+	int ij_ldx = m+Nmom*i+Nmom*Lblock*j+Nmom*Lblock*Rblock*ldx;
+
+	lsSum[ij_ldx]=lsSum[ij_ldx]+extracted[idx];
+
+      }
+    }}}
+  }
+
+  assert(mat.dimension(0) == Nmom);
+  assert(mat.dimension(1) == Ngamma);
+  assert(mat.dimension(2) == Nt);
+
+  // ld loop and local only??
+  int pd = grid->_processors[orthogdim];
+  int pc = grid->_processor_coor[orthogdim];
+  parallel_for_nest2(int lt=0;lt<ld;lt++)
+  {
+    for(int pt=0;pt<pd;pt++){
+      int t = lt + pt*ld;
+      if (pt == pc){
+	for(int i=0;i<Lblock;i++){
+	  for(int j=0;j<Rblock;j++){
+	    for(int m=0;m<Nmom;m++){
+	      int ij_dx = m+Nmom*i + Nmom*Lblock * j + Nmom*Lblock * Rblock * lt;
+	      for(int mu=0;mu<Ngamma;mu++){
+		// this is a bit slow
+		mat(m,mu,t,i,j) = trace(lsSum[ij_dx]*Gamma(gammas[mu]));
+	      }
+	    }
+	  }
+	}
+      } else { 
+	const scalar_type zz(0.0);
+	for(int i=0;i<Lblock;i++){
+	  for(int j=0;j<Rblock;j++){
+	    for(int mu=0;mu<Ngamma;mu++){
+	      for(int m=0;m<Nmom;m++){
+		mat(m,mu,t,i,j) =zz;
+	      }
+	    }
+	  }
+	}
+      }
+    }
+  }
+
+  ////////////////////////////////////////////////////////////////////
+  // This global sum is taking as much as 50% of time on 16 nodes
+  // Vector size is 7 x 16 x 32 x 16 x 16 x sizeof(complex) = 2MB - 60MB depending on volume
+  // Healthy size that should suffice
+  ////////////////////////////////////////////////////////////////////
+
+  grid->GlobalSumVector(&mat(0,0,0,0,0),Nmom*Ngamma*Nt*Lblock*Rblock);
+
+}
+
+
+///////////////////////////////////////////////////////////////////
+//Meson 
+// Interested in
+//
+//      sum_x,y Trace[ G S(x,tx,y,ty) G S(y,ty,x,tx) ]
+//
+// Conventional meson field:
+//                 
+//    = sum_x,y Trace[ sum_j G |v_j(y,ty)> <w_j(x,tx)|  G sum_i |v_i(x,tx) ><w_i(y,ty)| ]
+//    = sum_ij sum_x,y < w_j(x,tx)| G |v_i(x,tx) > <w_i(y,ty) (x)|G| v_j(y,ty) >
+//    = sum_ij PI_ji(tx) PI_ij(ty)
+//
+// G5-Hermiticity
+//
+//      sum_x,y Trace[ G S(x,tx,y,ty) G S(y,ty,x,tx) ]
+//    = sum_x,y Trace[ G S(x,tx,y,ty) G g5 S^dag(x,tx,y,ty) g5 ]
+//    = sum_x,y Trace[ g5 G sum_j |v_j(y,ty)> <w_j(x,tx)|  G g5 sum_i   (|v_j(y,ty)> <w_i(x,tx)|)^dag ]      --  (*)
+//
+// NB:  Dag applies to internal indices spin,colour,complex
+//
+//    = sum_ij sum_x,y Trace[ g5 G |v_j(y,ty)> <w_j(x,tx)|  G g5  |w_i(x,tx)> <v_i(y,ty)| ]
+//    = sum_ij sum_x,y <v_i(y,ty)|g5 G |v_j(y,ty)> <w_j(x,tx)|  G g5 |w_i(x,tx)> 
+//    = sum_ij  PionVV(ty) PionWW(tx)
+//
+// (*) is only correct estimator if w_i and w_j come from distinct noise sets to preserve the kronecker
+//     expectation value. Otherwise biased.
+////////////////////////////////////////////////////////////////////
+
+template<class FImpl>
+void A2Autils<FImpl>::PionFieldXX(Eigen::Tensor<ComplexD,3> &mat, 
+				  const FermionField *wi,
+				  const FermionField *vj,
+				  int orthogdim,
+				  int g5) 
+{
+  int Lblock = mat.dimension(1); 
+  int Rblock = mat.dimension(2);
+
+  GridBase *grid = wi[0]._grid;
+  
+  const int    nd = grid->_ndimension;
+  const int Nsimd = grid->Nsimd();
+
+  int Nt     = grid->GlobalDimensions()[orthogdim];
+
+  int fd=grid->_fdimensions[orthogdim];
+  int ld=grid->_ldimensions[orthogdim];
+  int rd=grid->_rdimensions[orthogdim];
+
+  // will locally sum vectors first
+  // sum across these down to scalars
+  // splitting the SIMD
+  int MFrvol = rd*Lblock*Rblock;
+  int MFlvol = ld*Lblock*Rblock;
+
+  Vector<vector_type > lvSum(MFrvol);
+  parallel_for (int r = 0; r < MFrvol; r++){
+    lvSum[r] = zero;
+  }
+
+  Vector<scalar_type > lsSum(MFlvol);             
+  parallel_for (int r = 0; r < MFlvol; r++){
+    lsSum[r]=scalar_type(0.0);
+  }
+
+  int e1=    grid->_slice_nblock[orthogdim];
+  int e2=    grid->_slice_block [orthogdim];
+  int stride=grid->_slice_stride[orthogdim];
+
+  parallel_for(int r=0;r<rd;r++){
+
+    int so=r*grid->_ostride[orthogdim]; // base offset for start of plane 
+
+    for(int n=0;n<e1;n++){
+      for(int b=0;b<e2;b++){
+
+	int ss= so+n*stride+b;
+
+	for(int i=0;i<Lblock;i++){
+
+	  auto w = conjugate(wi[i]._odata[ss]);
+	  if (g5) {
+	    w()(2)(0) = - w()(2)(0);
+	    w()(2)(1) = - w()(2)(1);
+	    w()(2)(2) = - w()(2)(2);
+	    w()(3)(0) = - w()(3)(0);
+	    w()(3)(1) = - w()(3)(1);
+	    w()(3)(2) = - w()(3)(2);
+	  }
+	  for(int j=0;j<Rblock;j++){
+
+	    auto v = vj[j]._odata[ss];
+	    auto vv = v()(0)(0);
+
+	    vv =      w()(0)(0) * v()(0)(0)// Gamma5 Dirac basis explicitly written out
+	      +       w()(0)(1) * v()(0)(1)
+	      +       w()(0)(2) * v()(0)(2)
+	      +       w()(1)(0) * v()(1)(0)
+	      +       w()(1)(1) * v()(1)(1)
+	      +       w()(1)(2) * v()(1)(2)
+	      +       w()(2)(0) * v()(2)(0)
+	      +       w()(2)(1) * v()(2)(1)
+	      +       w()(2)(2) * v()(2)(2)
+	      +       w()(3)(0) * v()(3)(0)
+	      +       w()(3)(1) * v()(3)(1)
+	      +       w()(3)(2) * v()(3)(2);
+	    
+	    int idx = i+Lblock*j+Lblock*Rblock*r;
+	    lvSum[idx] = lvSum[idx]+vv;
+	  }
+	}
+      }
+    }
+  }
+
+  // Sum across simd lanes in the plane, breaking out orthog dir.
+  parallel_for(int rt=0;rt<rd;rt++){
+
+    std::vector<int> icoor(nd);
+    iScalar<vector_type> temp; 
+    std::vector<iScalar<scalar_type> > extracted(Nsimd);               
+
+    for(int i=0;i<Lblock;i++){
+    for(int j=0;j<Rblock;j++){
+
+      int ij_rdx = i+Lblock*j+Lblock*Rblock*rt;
+
+      temp._internal =lvSum[ij_rdx];
+      extract(temp,extracted);
+
+      for(int idx=0;idx<Nsimd;idx++){
+
+	grid->iCoorFromIindex(icoor,idx);
+
+	int ldx    = rt+icoor[orthogdim]*rd;
+
+	int ij_ldx =i+Lblock*j+Lblock*Rblock*ldx;
+
+	lsSum[ij_ldx]=lsSum[ij_ldx]+extracted[idx]._internal;
+
+      }
+    }}
+  }
+
+  assert(mat.dimension(0) == Nt);
+  // ld loop and local only??
+  int pd = grid->_processors[orthogdim];
+  int pc = grid->_processor_coor[orthogdim];
+  parallel_for_nest2(int lt=0;lt<ld;lt++)
+  {
+    for(int pt=0;pt<pd;pt++){
+      int t = lt + pt*ld;
+      if (pt == pc){
+	for(int i=0;i<Lblock;i++){
+	  for(int j=0;j<Rblock;j++){
+	    int ij_dx = i + Lblock * j + Lblock * Rblock * lt;
+	    mat(t,i,j) = lsSum[ij_dx];
+	  }
+	}
+      } else { 
+	const scalar_type zz(0.0);
+	for(int i=0;i<Lblock;i++){
+	  for(int j=0;j<Rblock;j++){
+	    mat(t,i,j) =zz;
+	  }
+	}
+      }
+    }
+  }
+
+  grid->GlobalSumVector(&mat(0,0,0),Nt*Lblock*Rblock);
+}
+
+template<class FImpl>
+void A2Autils<FImpl>::PionFieldWVmom(Eigen::Tensor<ComplexD,4> &mat, 
+				     const FermionField *wi,
+				     const FermionField *vj,
+				     const std::vector<ComplexField > &mom,
+				     int orthogdim) 
+{
+  int Lblock = mat.dimension(2); 
+  int Rblock = mat.dimension(3);
+
+  GridBase *grid = wi[0]._grid;
+  
+  const int    nd = grid->_ndimension;
+  const int Nsimd = grid->Nsimd();
+
+  int Nt     = grid->GlobalDimensions()[orthogdim];
+  int Nmom   = mom.size();
+
+  int fd=grid->_fdimensions[orthogdim];
+  int ld=grid->_ldimensions[orthogdim];
+  int rd=grid->_rdimensions[orthogdim];
+
+  // will locally sum vectors first
+  // sum across these down to scalars
+  // splitting the SIMD
+  int MFrvol = rd*Lblock*Rblock*Nmom;
+  int MFlvol = ld*Lblock*Rblock*Nmom;
+
+  Vector<vector_type > lvSum(MFrvol);
+  parallel_for (int r = 0; r < MFrvol; r++){
+    lvSum[r] = zero;
+  }
+
+  Vector<scalar_type > lsSum(MFlvol);             
+  parallel_for (int r = 0; r < MFlvol; r++){
+    lsSum[r]=scalar_type(0.0);
+  }
+
+  int e1=    grid->_slice_nblock[orthogdim];
+  int e2=    grid->_slice_block [orthogdim];
+  int stride=grid->_slice_stride[orthogdim];
+
+  parallel_for(int r=0;r<rd;r++){
+
+    int so=r*grid->_ostride[orthogdim]; // base offset for start of plane 
+
+    for(int n=0;n<e1;n++){
+      for(int b=0;b<e2;b++){
+
+	int ss= so+n*stride+b;
+
+	for(int i=0;i<Lblock;i++){
+
+	  auto w = conjugate(wi[i]._odata[ss]);
+
+	  for(int j=0;j<Rblock;j++){
+
+	    auto v = vj[j]._odata[ss];
+
+	    auto vv = w()(0)(0) * v()(0)(0)// Gamma5 Dirac basis explicitly written out
+	      +       w()(0)(1) * v()(0)(1)
+	      +       w()(0)(2) * v()(0)(2)
+	      +       w()(1)(0) * v()(1)(0)
+	      +       w()(1)(1) * v()(1)(1)
+	      +       w()(1)(2) * v()(1)(2)
+	      -       w()(2)(0) * v()(2)(0)
+	      -       w()(2)(1) * v()(2)(1)
+	      -       w()(2)(2) * v()(2)(2)
+	      -       w()(3)(0) * v()(3)(0)
+	      -       w()(3)(1) * v()(3)(1)
+	      -       w()(3)(2) * v()(3)(2);
+
+	    
+	    // After getting the sitewise product do the mom phase loop
+	    int base = Nmom*i+Nmom*Lblock*j+Nmom*Lblock*Rblock*r;
+	    for ( int m=0;m<Nmom;m++){
+	      int idx = m+base;
+	      auto phase = mom[m]._odata[ss];
+	      mac(&lvSum[idx],&vv,&phase()()());
+	    }
+	  }
+	}
+      }
+    }
+  }
+
+
+  // Sum across simd lanes in the plane, breaking out orthog dir.
+  parallel_for(int rt=0;rt<rd;rt++){
+
+    std::vector<int> icoor(nd);
+    iScalar<vector_type> temp; 
+    std::vector<iScalar<scalar_type> > extracted(Nsimd);               
+
+    for(int i=0;i<Lblock;i++){
+    for(int j=0;j<Rblock;j++){
+    for(int m=0;m<Nmom;m++){
+
+      int ij_rdx = m+Nmom*i+Nmom*Lblock*j+Nmom*Lblock*Rblock*rt;
+
+      temp._internal = lvSum[ij_rdx];
+      extract(temp,extracted);
+
+      for(int idx=0;idx<Nsimd;idx++){
+
+	grid->iCoorFromIindex(icoor,idx);
+
+	int ldx    = rt+icoor[orthogdim]*rd;
+
+	int ij_ldx = m+Nmom*i+Nmom*Lblock*j+Nmom*Lblock*Rblock*ldx;
+
+	lsSum[ij_ldx]=lsSum[ij_ldx]+extracted[idx]._internal;
+
+      }
+    }}}
+  }
+
+  assert(mat.dimension(0) == Nmom);
+  assert(mat.dimension(1) == Nt);
+
+  int pd = grid->_processors[orthogdim];
+  int pc = grid->_processor_coor[orthogdim];
+  parallel_for_nest2(int lt=0;lt<ld;lt++)
+  {
+    for(int pt=0;pt<pd;pt++){
+      int t = lt + pt*ld;
+      if (pt == pc){
+	for(int i=0;i<Lblock;i++){
+	  for(int j=0;j<Rblock;j++){
+	    for(int m=0;m<Nmom;m++){
+	      int ij_dx = m+Nmom*i + Nmom*Lblock * j + Nmom*Lblock * Rblock * lt;
+	      mat(m,t,i,j) = lsSum[ij_dx];
+	    }
+	  }
+	}
+      } else { 
+	const scalar_type zz(0.0);
+	for(int i=0;i<Lblock;i++){
+	  for(int j=0;j<Rblock;j++){
+	    for(int m=0;m<Nmom;m++){
+	      mat(m,t,i,j) =zz;
+	    }
+	  }
+	}
+      }
+    }
+  }
+
+  grid->GlobalSumVector(&mat(0,0,0,0),Nmom*Nt*Lblock*Rblock);
+}
+
+template<class FImpl>
+void A2Autils<FImpl>::PionFieldWV(Eigen::Tensor<ComplexD,3> &mat, 
+				  const FermionField *wi,
+				  const FermionField *vj,
+				  int orthogdim) 
+{
+  const int g5=1;
+  PionFieldXX(mat,wi,vj,orthogdim,g5);
+}
+template<class FImpl>
+void A2Autils<FImpl>::PionFieldWW(Eigen::Tensor<ComplexD,3> &mat, 
+				  const FermionField *wi,
+				  const FermionField *wj,
+				  int orthogdim) 
+{
+  const int nog5=0;
+  PionFieldXX(mat,wi,wj,orthogdim,nog5);
+}
+template<class FImpl>
+void A2Autils<FImpl>::PionFieldVV(Eigen::Tensor<ComplexD,3> &mat, 
+				  const FermionField *vi,
+				  const FermionField *vj,
+				  int orthogdim) 
+{
+  const int nog5=0;
+  PionFieldXX(mat,vi,vj,orthogdim,nog5);
+}
+
+
+////////////////////////////////////////////
+// Schematic thoughts about more generalised four quark insertion
+//
+// --  Pupil or fig8 type topology (depending on flavour structure) done below
+// --  Have  Bag style   --  WWVV  VVWW
+//            _  _      
+//           / \/ \
+//           \_/\_/   
+//                                                                                                                                                                       
+//  -   Kpipi style (two pion insertions) 
+//                                K     
+// *********
+// Type 1                    
+// *********
+//                x
+//            ___  _____ pi(b)  
+//        K  /   \/____/          
+//           \    \
+//            \____\pi(a)   
+//
+//                        
+//        W^W_sd V_s(x)  V^_d(xa) Wa(xa) Va^(x)    WW_bb' Vb Vb'(x)
+//
+//        (Kww.PIvw) VV ;   pi_ww.VV
+// 
+//  But Norman and Chris say g5 hermiticity not used, except on K
+//
+//        Kww    PIvw     PIvw       
+//
+//        (W^W_sd PIa_dd')   PIb_uu'  (v_s v_d' w_u v_u')(x)
+// 
+//  - Can form (Nmode^3)
+//
+//   (Kww . PIvw)_sd and then V_sV_d  tensor product contracting this
+// 
+//  - Can form 
+//
+//   (PIvw)_uu' W_uV_u'  tensor product.
+//
+// Both are lattice propagators.
+//
+// Contract with the same four quark type contraction as BK.
+//
+// *********
+// Type 2
+// *********
+//            _  _____ pi 
+//        K  / \/     |   
+//           \_/\_____|pi 
+//
+// Norman/Chris would say
+//
+//  (Kww VV)(x) . (PIwv Piwv) VW(x)
+//
+// Full four quark via g5 hermiticity
+//
+//  (Kww VV)(x) . (PIww Pivw) VV(x)
+//
+// *********
+// Type 3
+// *********
+//            ___  _____ pi 
+//        K  /   \/     |   
+//           \   /\     |
+//            \  \/     |
+//             \________|pi 
+// 
+// 
+//   (V(x) . Kww . pi_vw . pivw . V(x)). WV(x)
+//
+// No difference possible to Norman, Chris, Diaqian
+//
+// *********
+// Type 4
+// *********
+//            ___        pi 
+//        K  /   \/\     |\
+//           \___/\/     |/
+//                        pi
+//            
+//  (Kww VV ) WV        x   Tr(PIwv PIwv)
+//        
+// Could use alternate PI_ww PIvv for disco loop interesting comparison
+//
+// *********
+// Primitives / Utilities for assembly
+// *********
+// 
+// i)   Basic type for meson field - mode indexed object, whether WW, VW, VV etc..
+// ii)  Multiply two meson fields (modes^3) ; use BLAS MKL via Eigen
+// iii) Multiply and trace two meson fields ; use BLAS MKL via Eigen. The element wise product trick
+// iv)  Contract a meson field (whether WW,VW, VV WV) with W and V fields to form LatticePropagator
+// v)   L^3 sum a four quark contaction with two LatticePropagators.
+//
+// Use lambda functions to enable flexibility in v)
+// Use lambda functions to unify the pion field / meson field contraction codes.
+////////////////////////////////////////////
+
+
+
+////////////////////////////////////////////////////////////////////////
+// DeltaF=2 contraction ; use exernal WW field for Kaon, anti Kaon sink
+////////////////////////////////////////////////////////////////////////
+//
+// WW -- i vectors have adjoint, and j vectors not. 
+//    -- Think of "i" as the strange quark, forward prop from 0
+//    -- Think of "j" as the anti-down quark.
+//
+// WW_sd are w^dag_s w_d
+//
+// Hence VV vectors correspondingly are  v^dag_d,  v_s    from t=0
+//                                  and  v^dag_d,  v_s    from t=dT
+//
+// There is an implicit g5 associated with each v^dag_d from use of g5 Hermiticity.
+// The other gamma_5 lies in the WW external meson operator.
+//
+// From UKhadron wallbag.cc:
+//
+//   LatticePropagator anti_d0 =  adj( Gamma(G5) * Qd0 * Gamma(G5));
+//   LatticePropagator anti_d1 =  adj( Gamma(G5) * Qd1 * Gamma(G5));
+//
+//   PR1 = Qs0 * Gamma(G5) * anti_d0;
+//   PR2 = Qs1 * Gamma(G5) * anti_d1;
+//
+//   TR1 = trace( PR1 * G1 );
+//   TR2 = trace( PR2 * G2 );
+//   Wick1 = TR1 * TR2;
+//
+//   Wick2 = trace( PR1* G1 * PR2 * G2 );
+//   // was      Wick2 = trace( Qs0 * Gamma(G5) * anti_d0 * G1 * Qs1 * Gamma(G5) * anti_d1 * G2 );
+//
+// TR TR(tx) = Wick1 = sum_x WW[t0]_sd < v^_d |g5 G| v_s>   WW[t1]_s'd' < v^_d' |g5 G| v_s'> |_{x,tx)
+//           = sum_x [ Trace(WW[t0] VgV(t,x) )  x Trace( WW_[t1] VgV(t,x) ) ]
+//           
+//
+// Calc all Nt Trace(WW VV) products at once, take Nt^2 products of these.
+//
+// Fig8(tx)  = Wick2 = sum_x WW[t0]_sd WW[t1]_s'd'  < v^_d |g5 G| v_s'> < v^_d' |g5 G| v_s> |_{x,tx}
+//
+//                   = sum_x Trace( WW[t0] VV[t,x] WW[t1] VV[t,x] )
+// 
+///////////////////////////////////////////////////////////////////////////////
+//
+// WW is w_s^dag (x) w_d       (G5 implicitly absorbed)
+//
+// WWVV will have spin-col (x) spin-col tensor.
+//
+// Want this to look like a strange fwd prop, anti-d prop.
+// 
+// Take WW_sd v^dag_d (x) v_s
+// 
+
+template<class FImpl>
+void A2Autils<FImpl>::ContractWWVV(std::vector<PropagatorField> &WWVV,
+				   const Eigen::Tensor<ComplexD,3> &WW_sd,
+				   const FermionField *vs,
+				   const FermionField *vd)
+{
+  GridBase *grid = vs[0]._grid;
+
+  int nd    = grid->_ndimension;
+  int Nsimd = grid->Nsimd();
+  int N_t   = WW_sd.dimension(0);
+  int N_s = WW_sd.dimension(1); 
+  int N_d = WW_sd.dimension(2);
+
+  int d_unroll = 32;// Empirical optimisation
+
+  for(int t=0;t<N_t;t++){
+    WWVV[t] = zero;
+  }
+
+  parallel_for(int ss=0;ss<grid->oSites();ss++){
+    for(int d_o=0;d_o<N_d;d_o+=d_unroll){
+      for(int t=0;t<N_t;t++){
+      for(int s=0;s<N_s;s++){
+	auto tmp1 = vs[s]._odata[ss];
+	vobj tmp2 = zero;
+
+	for(int d=d_o;d<MIN(d_o+d_unroll,N_d);d++){
+	  Scalar_v coeff = WW_sd(t,s,d);
+	  mac(&tmp2 ,& coeff, & vd[d]._odata[ss]);
+	}
+
+	//////////////////////////
+	// Fast outer product of tmp1 with a sum of terms suppressed by d_unroll
+	//////////////////////////
+	tmp2 = conjugate(tmp2);
+	for(int s1=0;s1<Ns;s1++){
+	for(int s2=0;s2<Ns;s2++){
+	  WWVV[t]._odata[ss]()(s1,s2)(0,0) += tmp1()(s1)(0)*tmp2()(s2)(0);
+	  WWVV[t]._odata[ss]()(s1,s2)(0,1) += tmp1()(s1)(0)*tmp2()(s2)(1);
+	  WWVV[t]._odata[ss]()(s1,s2)(0,2) += tmp1()(s1)(0)*tmp2()(s2)(2);
+	  WWVV[t]._odata[ss]()(s1,s2)(1,0) += tmp1()(s1)(1)*tmp2()(s2)(0);
+	  WWVV[t]._odata[ss]()(s1,s2)(1,1) += tmp1()(s1)(1)*tmp2()(s2)(1);
+	  WWVV[t]._odata[ss]()(s1,s2)(1,2) += tmp1()(s1)(1)*tmp2()(s2)(2);
+	  WWVV[t]._odata[ss]()(s1,s2)(2,0) += tmp1()(s1)(2)*tmp2()(s2)(0);
+	  WWVV[t]._odata[ss]()(s1,s2)(2,1) += tmp1()(s1)(2)*tmp2()(s2)(1);
+	  WWVV[t]._odata[ss]()(s1,s2)(2,2) += tmp1()(s1)(2)*tmp2()(s2)(2);
+	}}
+
+      }}
+    }
+  }
+}
+
+
+template<class FImpl>
+void A2Autils<FImpl>::ContractFourQuarkColourDiagonal(const PropagatorField &WWVV0,
+						      const PropagatorField &WWVV1,
+						      const std::vector<Gamma> &gamma0,
+						      const std::vector<Gamma> &gamma1,
+						      ComplexField &O_trtr,
+						      ComplexField &O_fig8)
+{
+  assert(gamma0.size()==gamma1.size());
+  int Ng = gamma0.size();
+
+  GridBase *grid = WWVV0._grid;
+
+  parallel_for(int ss=0;ss<grid->oSites();ss++){
+
+    typedef typename ComplexField::vector_object vobj;
+
+    vobj v_trtr;
+    vobj v_fig8;
+
+    auto VV0 = WWVV0._odata[ss];
+    auto VV1 = WWVV1._odata[ss];
+    
+    for(int g=0;g<Ng;g++){
+
+      v_trtr = trace(VV0 * gamma0[g])* trace(VV1*gamma1[g]);
+      v_fig8 = trace(VV0 * gamma0[g] * VV1 * gamma1[g]);
+
+      if ( g==0 ) {
+	O_trtr._odata[ss] = v_trtr; 
+	O_fig8._odata[ss] = v_fig8;
+      } else { 
+	O_trtr._odata[ss]+= v_trtr; 
+	O_fig8._odata[ss]+= v_fig8;
+      }
+      
+    }
+  }
+}
+
+template<class FImpl>
+void A2Autils<FImpl>::ContractFourQuarkColourMix(const PropagatorField &WWVV0,
+						 const PropagatorField &WWVV1,
+						 const std::vector<Gamma> &gamma0,
+						 const std::vector<Gamma> &gamma1,
+						 ComplexField &O_trtr,
+						 ComplexField &O_fig8)
+{
+  assert(gamma0.size()==gamma1.size());
+  int Ng = gamma0.size();
+
+  GridBase *grid = WWVV0._grid;
+
+  parallel_for(int ss=0;ss<grid->oSites();ss++){
+
+    typedef typename ComplexField::vector_object vobj;
+
+    auto VV0 = WWVV0._odata[ss];
+    auto VV1 = WWVV1._odata[ss];
+    
+    for(int g=0;g<Ng;g++){
+
+      auto VV0G = VV0 * gamma0[g];  // Spin multiply
+      auto VV1G = VV1 * gamma1[g];
+
+      vobj v_trtr=zero;
+      vobj v_fig8=zero;
+
+      /////////////////////////////////////////
+      // Colour mixed
+      /////////////////////////////////////////
+      // _                 _
+      // s_sa G_st d_tb    s_s'b  G_s't' d_t'a
+      // 
+      //                                         
+      // Contracted with prop factor (VV0)_sd,ab (VV1)_s'd',ba
+      //
+      // Wick1 [ spin TR TR ]
+      //
+      //    (VV0*G0)_ss,ba .  (VV1*G1)_tt,ab
+       //
+      // Wick2 [ spin fig8 ]
+      //
+      //    (VV0*G0)_st,aa (VV1*G1)_ts,bb
+      // 
+      /////////////////////////////////////////
+
+      for(int a=0;a<Nc;a++){
+      for(int b=0;b<Nc;b++){
+      for(int s=0;s<Ns;s++){
+      for(int t=0;t<Ns;t++){
+	// Mixed traces
+	v_trtr()()() += VV0G()(s,s)(a,b)*VV1G()(t,t)(b,a); // Was the fig8 before Fierzing
+	v_fig8()()() += VV0G()(s,t)(a,a)*VV1G()(t,s)(b,b); // Was the trtr before Fierzing
+
+	/*
+	 * CHECKS -- use Fierz identities as a strong test, 4 Oct 2018.
+	 * 
+BagMix [8,0]  fig8 (21.5596,-3.83908e-17) trtr (0.064326,2.51001e-17) // Fierz        -1 0   0 0 0    
+BagMix [8,1]  fig8 (-1346.99,1.2481e-16) trtr (34.2501,-3.36935e-17)  //               0 0   2 0 0 
+BagMix [8,2]  fig8 (13.7536,-6.04625e-19) trtr (-215.542,3.24326e-17) //               0 1/2 0 0 0
+BagMix [8,3]  fig8 (555.878,-7.39942e-17) trtr (463.82,-4.73909e-17)  //               0 0   0 1/2 -1/2  
+BagMix [8,4]  fig8 (-1602.48,9.08511e-17) trtr (-936.302,1.14156e-16) //               0 0   0 -3/2 -1/2
+
+Bag [8,0]  fig8 (-0.064326,1.06281e-17) trtr (-21.5596,1.06051e-17)   
+Bag [8,2]  fig8 (17.125,-3.40959e-17) trtr (-673.493,7.68134e-17)   
+Bag [8,1]  fig8 (-431.084,2.76423e-17) trtr (27.5073,-5.76967e-18)    /////////// TR TR                           FIG8
+Bag [8,3]  fig8 (700.061,-1.14925e-16) trtr (1079.18,-1.35476e-16)    //    555.878 = 0.5(1079.18+32.5776) ;   463.82     =0.5(700.061+227.58)
+Bag [8,4]  fig8 (-227.58,3.58808e-17) trtr (-32.5776,1.83286e-17)     //  - 1602.48 = - 1.5*1079.18 + .5* 32.5776; 936.302=-1.5* 700+0.5*227
+	*/
+	
+	//Unmixed debug check consistency
+	//	v_trtr()()() += VV0G()(s,s)(a,a)*VV1G()(t,t)(b,b);
+	//	v_fig8()()() += VV0G()(s,t)(a,b)*VV1G()(t,s)(b,a);
+      }}}}
+
+      if ( g==0 ) {
+	O_trtr._odata[ss] = v_trtr; 
+	O_fig8._odata[ss] = v_fig8;
+      } else { 
+	O_trtr._odata[ss]+= v_trtr; 
+	O_fig8._odata[ss]+= v_fig8;
+      }
+      
+    }
+  }
+}
+
+#ifdef DELTA_F_EQ_2
+////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
+// Perhaps this should move out of the utils and into Hadrons module
+// Now makes use of the primitives above and doesn't touch inside 
+// the lattice structures.
+////////////////////////////////////////////////////////////////////////////////////////////////////////////////////
+template<class FImpl>
+void A2Autils<FImpl>::DeltaFeq2(int dt_min,int dt_max,
+				Eigen::Tensor<ComplexD,2> &dF2_fig8,
+				Eigen::Tensor<ComplexD,2> &dF2_trtr,
+				Eigen::Tensor<ComplexD,2> &dF2_fig8_mix,
+				Eigen::Tensor<ComplexD,2> &dF2_trtr_mix,
+				Eigen::Tensor<ComplexD,1> &denom_A0,
+				Eigen::Tensor<ComplexD,1> &denom_P,
+				Eigen::Tensor<ComplexD,3> &WW_sd, 
+				const FermionField *vs,
+				const FermionField *vd,
+				int orthogdim)
+{
+  GridBase *grid = vs[0]._grid;
+
+  LOG(Message) << "Computing A2A DeltaF=2 graph" << std::endl;
+
+  auto G5 = Gamma(Gamma::Algebra::Gamma5);
+  
+  double nodes = grid->NodeCount();
+  int nd    = grid->_ndimension;
+  int Nsimd = grid->Nsimd();
+  int N_t = WW_sd.dimension(0); 
+  int N_s = WW_sd.dimension(1); 
+  int N_d = WW_sd.dimension(2);
+
+  assert(grid->GlobalDimensions()[orthogdim] == N_t);
+  double vol         = 1.0;
+  for(int dim=0;dim<nd;dim++){
+    vol = vol * grid->GlobalDimensions()[dim];
+  }
+
+  double t_tot  = -usecond();
+  std::vector<PropagatorField> WWVV (N_t,grid);
+
+  double t_outer= -usecond();
+  ContractWWVV(WWVV,WW_sd,&vs[0],&vd[0]);
+  t_outer+=usecond();
+
+  //////////////////////////////
+  // Implicit gamma-5 
+  //////////////////////////////
+  for(int t=0;t<N_t;t++){
+    WWVV[t] = WWVV[t]* G5 ; 
+  }
+
+  ////////////////////////////////////////////////////////
+  // Contraction
+  ////////////////////////////////////////////////////////
+  int Ng=5;
+  dF2_trtr.resize(N_t,Ng);
+  dF2_fig8.resize(N_t,Ng);
+  dF2_trtr_mix.resize(N_t,Ng);
+  dF2_fig8_mix.resize(N_t,Ng);
+  denom_A0.resize(N_t);
+  denom_P.resize(N_t);
+  for(int t=0;t<N_t;t++){
+    for(int g=0;g<Ng;g++) dF2_trtr(t,g)= ComplexD(0.0);
+    for(int g=0;g<Ng;g++) dF2_fig8(t,g)= ComplexD(0.0);
+    for(int g=0;g<Ng;g++) dF2_trtr_mix(t,g)= ComplexD(0.0);
+    for(int g=0;g<Ng;g++) dF2_fig8_mix(t,g)= ComplexD(0.0);
+    denom_A0(t) =ComplexD(0.0);
+    denom_P(t) =ComplexD(0.0);
+  }
+
+  ComplexField D0(grid);   D0 = zero; // <P|A0> correlator from each wall
+  ComplexField D1(grid);   D1 = zero;
+
+  ComplexField O1_trtr(grid);  O1_trtr = zero;
+  ComplexField O2_trtr(grid);  O2_trtr = zero;
+  ComplexField O3_trtr(grid);  O3_trtr = zero;
+  ComplexField O4_trtr(grid);  O4_trtr = zero;
+  ComplexField O5_trtr(grid);  O5_trtr = zero;
+
+  ComplexField O1_fig8(grid);  O1_fig8 = zero;
+  ComplexField O2_fig8(grid);  O2_fig8 = zero;
+  ComplexField O3_fig8(grid);  O3_fig8 = zero;
+  ComplexField O4_fig8(grid);  O4_fig8 = zero;
+  ComplexField O5_fig8(grid);  O5_fig8 = zero;
+
+  ComplexField VV_trtr(grid);  VV_trtr = zero;
+  ComplexField AA_trtr(grid);  AA_trtr = zero;
+  ComplexField SS_trtr(grid);  SS_trtr = zero;
+  ComplexField PP_trtr(grid);  PP_trtr = zero;
+  ComplexField TT_trtr(grid);  TT_trtr = zero;
+
+  ComplexField VV_fig8(grid);  VV_fig8 = zero;
+  ComplexField AA_fig8(grid);  AA_fig8 = zero;
+  ComplexField SS_fig8(grid);  SS_fig8 = zero;
+  ComplexField PP_fig8(grid);  PP_fig8 = zero;
+  ComplexField TT_fig8(grid);  TT_fig8 = zero;
+
+  //////////////////////////////////////////////////
+  // Used to store appropriate correlation funcs
+  //////////////////////////////////////////////////
+  std::vector<TComplex>  C1;
+  std::vector<TComplex>  C2;
+  std::vector<TComplex>  C3;
+  std::vector<TComplex>  C4;
+  std::vector<TComplex>  C5;
+  
+  //////////////////////////////////////////////////////////
+  // Could do AA, VV, SS, PP, TT and form linear combinations later.
+  // Almost 2x. but for many modes, the above loop dominates.
+  //////////////////////////////////////////////////////////
+  double t_contr= -usecond();
+
+  // Tr Tr Wick contraction
+  auto VX = Gamma(Gamma::Algebra::GammaX);
+  auto VY = Gamma(Gamma::Algebra::GammaY);
+  auto VZ = Gamma(Gamma::Algebra::GammaZ);
+  auto VT = Gamma(Gamma::Algebra::GammaT);
+  
+  auto AX = Gamma(Gamma::Algebra::GammaXGamma5);
+  auto AY = Gamma(Gamma::Algebra::GammaYGamma5);
+  auto AZ = Gamma(Gamma::Algebra::GammaZGamma5);
+  auto AT = Gamma(Gamma::Algebra::GammaTGamma5);
+  
+  auto S  = Gamma(Gamma::Algebra::Identity);
+  auto P  = Gamma(Gamma::Algebra::Gamma5);
+  
+  auto T0 = Gamma(Gamma::Algebra::SigmaXY);
+  auto T1 = Gamma(Gamma::Algebra::SigmaXZ);
+  auto T2 = Gamma(Gamma::Algebra::SigmaXT);
+  auto T3 = Gamma(Gamma::Algebra::SigmaYZ);
+  auto T4 = Gamma(Gamma::Algebra::SigmaYT);
+  auto T5 = Gamma(Gamma::Algebra::SigmaZT);
+
+  std::cout <<GridLogMessage << " dt " <<dt_min<<"..." <<dt_max<<std::endl;
+
+  for(int t0=0;t0<N_t;t0++){
+    std::cout <<GridLogMessage << " t0 " <<t0<<std::endl;
+    //    for(int dt=dt_min;dt<dt_max;dt++){
+    {     
+      int dt  = dt_min;
+      int t1 = (t0+dt)%N_t;
+
+      std::cout <<GridLogMessage << " t1 " <<t1<<std::endl;
+      std::vector<Gamma> VV({VX,VY,VZ,VT});
+      std::vector<Gamma> AA({AX,AY,AZ,AT});
+      std::vector<Gamma> SS({S});
+      std::vector<Gamma> PP({P});
+      std::vector<Gamma> TT({T0,T1,T2,T3,T4,T5});
+      std::vector<Gamma> A0({AT});
+
+      ContractFourQuarkColourDiagonal(WWVV[t0],	WWVV[t1],VV,VV,VV_trtr,VV_fig8); // VV
+      ContractFourQuarkColourDiagonal(WWVV[t0],	WWVV[t1],AA,AA,AA_trtr,AA_fig8); // AA
+      ContractFourQuarkColourDiagonal(WWVV[t0],	WWVV[t1],SS,SS,SS_trtr,SS_fig8); // SS
+      ContractFourQuarkColourDiagonal(WWVV[t0],	WWVV[t1],PP,PP,PP_trtr,PP_fig8); // PP
+      ContractFourQuarkColourDiagonal(WWVV[t0],	WWVV[t1],TT,TT,TT_trtr,TT_fig8); // TT
+
+      O1_trtr = VV_trtr+AA_trtr;      O2_trtr = VV_trtr-AA_trtr;  // VV+AA,VV-AA
+      O1_fig8 = VV_fig8+AA_fig8;      O2_fig8 = VV_fig8-AA_fig8;  
+
+      O3_trtr = SS_trtr-PP_trtr;      O4_trtr = SS_trtr+PP_trtr;  // SS+PP,SS-PP
+      O3_fig8 = SS_fig8-PP_fig8;      O4_fig8 = SS_fig8+PP_fig8;  
+
+      O5_trtr = TT_trtr;
+      O5_fig8 = TT_fig8;
+
+      sliceSum(O1_trtr,C1, orthogdim); for(int t=0;t<N_t;t++) dF2_trtr(t,0)+= 2.0*C1[(t+t0)%N_t]()()()/vol;
+      sliceSum(O2_trtr,C1, orthogdim); for(int t=0;t<N_t;t++) dF2_trtr(t,1)+= 2.0*C1[(t+t0)%N_t]()()()/vol;
+      sliceSum(O3_trtr,C1, orthogdim); for(int t=0;t<N_t;t++) dF2_trtr(t,2)+= 2.0*C1[(t+t0)%N_t]()()()/vol;
+      sliceSum(O4_trtr,C1, orthogdim); for(int t=0;t<N_t;t++) dF2_trtr(t,3)+= 2.0*C1[(t+t0)%N_t]()()()/vol;
+      sliceSum(O5_trtr,C1, orthogdim); for(int t=0;t<N_t;t++) dF2_trtr(t,4)+= 2.0*C1[(t+t0)%N_t]()()()/vol;
+
+      sliceSum(O1_fig8,C1, orthogdim); for(int t=0;t<N_t;t++) dF2_fig8(t,0)+= 2.0*C1[(t+t0)%N_t]()()()/vol;
+      sliceSum(O2_fig8,C1, orthogdim); for(int t=0;t<N_t;t++) dF2_fig8(t,1)+= 2.0*C1[(t+t0)%N_t]()()()/vol;
+      sliceSum(O3_fig8,C1, orthogdim); for(int t=0;t<N_t;t++) dF2_fig8(t,2)+= 2.0*C1[(t+t0)%N_t]()()()/vol;
+      sliceSum(O4_fig8,C1, orthogdim); for(int t=0;t<N_t;t++) dF2_fig8(t,3)+= 2.0*C1[(t+t0)%N_t]()()()/vol;
+      sliceSum(O5_fig8,C1, orthogdim); for(int t=0;t<N_t;t++) dF2_fig8(t,4)+= 2.0*C1[(t+t0)%N_t]()()()/vol;
+
+      ContractFourQuarkColourDiagonal(WWVV[t0],	WWVV[t1],A0,A0,AA_trtr,AA_fig8); // A0 insertion
+
+      sliceSum(AA_trtr,C1, orthogdim);
+      sliceSum(PP_trtr,C2, orthogdim);
+
+      for(int t=0;t<N_t;t++){
+	denom_A0(t)+=C1[(t+t0)%N_t]()()()/vol;
+	denom_P(t) +=C2[(t+t0)%N_t]()()()/vol;
+      }
+
+      ///////////////////////////////////////////////////////////////////////////
+      // Colour mixed contractions
+      ///////////////////////////////////////////////////////////////////////////
+
+      ContractFourQuarkColourMix(WWVV[t0],	WWVV[t1],VV,VV,VV_trtr,VV_fig8); // VV
+      ContractFourQuarkColourMix(WWVV[t0],	WWVV[t1],AA,AA,AA_trtr,AA_fig8); // AA
+      ContractFourQuarkColourMix(WWVV[t0],	WWVV[t1],SS,SS,SS_trtr,SS_fig8); // SS
+      ContractFourQuarkColourMix(WWVV[t0],	WWVV[t1],PP,PP,PP_trtr,PP_fig8); // PP
+      ContractFourQuarkColourMix(WWVV[t0],	WWVV[t1],TT,TT,TT_trtr,TT_fig8); // TT
+
+      O1_trtr = VV_trtr+AA_trtr;      O2_trtr = VV_trtr-AA_trtr;  // VV+AA,VV-AA
+      O1_fig8 = VV_fig8+AA_fig8;      O2_fig8 = VV_fig8-AA_fig8;  
+
+      O3_trtr = SS_trtr-PP_trtr;      O4_trtr = SS_trtr+PP_trtr;  // SS+PP,SS-PP
+      O3_fig8 = SS_fig8-PP_fig8;      O4_fig8 = SS_fig8+PP_fig8;  
+
+      O5_trtr = TT_trtr;
+      O5_fig8 = TT_fig8;
+
+      sliceSum(O1_trtr,C1, orthogdim); for(int t=0;t<N_t;t++) dF2_trtr_mix(t,0)+= 2.0*C1[(t+t0)%N_t]()()()/vol;
+      sliceSum(O2_trtr,C1, orthogdim); for(int t=0;t<N_t;t++) dF2_trtr_mix(t,1)+= 2.0*C1[(t+t0)%N_t]()()()/vol;
+      sliceSum(O3_trtr,C1, orthogdim); for(int t=0;t<N_t;t++) dF2_trtr_mix(t,2)+= 2.0*C1[(t+t0)%N_t]()()()/vol;
+      sliceSum(O4_trtr,C1, orthogdim); for(int t=0;t<N_t;t++) dF2_trtr_mix(t,3)+= 2.0*C1[(t+t0)%N_t]()()()/vol;
+      sliceSum(O5_trtr,C1, orthogdim); for(int t=0;t<N_t;t++) dF2_trtr_mix(t,4)+= 2.0*C1[(t+t0)%N_t]()()()/vol;
+
+      sliceSum(O1_fig8,C1, orthogdim); for(int t=0;t<N_t;t++) dF2_fig8_mix(t,0)+= 2.0*C1[(t+t0)%N_t]()()()/vol;
+      sliceSum(O2_fig8,C1, orthogdim); for(int t=0;t<N_t;t++) dF2_fig8_mix(t,1)+= 2.0*C1[(t+t0)%N_t]()()()/vol;
+      sliceSum(O3_fig8,C1, orthogdim); for(int t=0;t<N_t;t++) dF2_fig8_mix(t,2)+= 2.0*C1[(t+t0)%N_t]()()()/vol;
+      sliceSum(O4_fig8,C1, orthogdim); for(int t=0;t<N_t;t++) dF2_fig8_mix(t,3)+= 2.0*C1[(t+t0)%N_t]()()()/vol;
+      sliceSum(O5_fig8,C1, orthogdim); for(int t=0;t<N_t;t++) dF2_fig8_mix(t,4)+= 2.0*C1[(t+t0)%N_t]()()()/vol;
+
+    }
+  }
+  t_contr +=usecond();
+  
+  t_tot+=usecond();
+  double million=1.0e6;
+  LOG(Message) << "Computing A2A DeltaF=2 graph t_tot      " << t_tot      /million << " s "<< std::endl;
+  LOG(Message) << "Computing A2A DeltaF=2 graph t_outer    " << t_outer    /million << " s "<< std::endl;
+  LOG(Message) << "Computing A2A DeltaF=2 graph t_contr    " << t_contr    /million << " s "<< std::endl;
+}
+#endif 
+
+}}
+
diff --git a/Grid/qcd/utils/Utils.h b/Grid/qcd/utils/Utils.h
index 1786db54..8ce3df37 100644
--- a/Grid/qcd/utils/Utils.h
+++ b/Grid/qcd/utils/Utils.h
@@ -12,4 +12,10 @@
 #include <Grid/qcd/utils/SUnAdjoint.h>
 #include <Grid/qcd/utils/SUnTwoIndex.h>
 
+// All-to-all contraction kernels that touch the 
+// internal lattice structure
+#include <Grid/qcd/utils/A2Autils.h>
+
+
+
 #endif

From 58567fc650fe36c27b38046e6b3afa394679df76 Mon Sep 17 00:00:00 2001
From: Antonin Portelli <antonin.portelli@me.com>
Date: Thu, 4 Oct 2018 20:01:49 +0100
Subject: [PATCH 32/39] Hadrons: big update abstracting the block meson field
 routine, tested & working, performance counters broken and code dirty

---
 Hadrons/A2AMatrix.hpp                         | 307 ++++++++++++++-
 Hadrons/Makefile.am                           |   2 +
 Hadrons/Module.cc                             |  95 -----
 Hadrons/Module.hpp                            |  13 +-
 Hadrons/Modules.hpp                           |   2 +-
 ...2AMesonFieldKernels.hpp => A2AKernels.hpp} | 207 +++++++++-
 .../Modules/MContraction/A2AMesonField.hpp    | 371 +++++++++++-------
 Hadrons/TimerArray.cc                         |  99 +++++
 Hadrons/TimerArray.hpp                        |  29 ++
 Hadrons/modules.inc                           |   2 +-
 10 files changed, 844 insertions(+), 283 deletions(-)
 rename Hadrons/Modules/MContraction/{A2AMesonFieldKernels.hpp => A2AKernels.hpp} (52%)
 create mode 100644 Hadrons/TimerArray.cc
 create mode 100644 Hadrons/TimerArray.hpp

diff --git a/Hadrons/A2AMatrix.hpp b/Hadrons/A2AMatrix.hpp
index 22eeddd1..e58ae71b 100644
--- a/Hadrons/A2AMatrix.hpp
+++ b/Hadrons/A2AMatrix.hpp
@@ -7,6 +7,7 @@ Source file: Hadrons/A2AMatrix.hpp
 Copyright (C) 2015-2018
 
 Author: Antonin Portelli <antonin.portelli@me.com>
+Author: Peter Boyle <paboyle@ph.ed.ac.uk>
 
 This program is free software; you can redistribute it and/or modify
 it under the terms of the GNU General Public License as published by
@@ -29,10 +30,28 @@ See the full license in the file "LICENSE" in the top level distribution directo
 #define A2A_Matrix_hpp_
 
 #include <Hadrons/Global.hpp>
+#include <Hadrons/TimerArray.hpp>
+#include <Grid/Eigen/unsupported/CXX11/Tensor>
+
+#ifndef HADRONS_A2AM_NAME 
+#define HADRONS_A2AM_NAME "a2aMatrix"
+#endif
+
+#define HADRONS_A2AM_PARALLEL_IO
 
 BEGIN_HADRONS_NAMESPACE
 
-template <typename T, typename MetadataType>
+// general A2A matrix set class based on Eigen tensors and Grid-allocated memory
+// Dimensions:
+//   0 - ext - external field (momentum, EM field, ...)
+//   1 - str - spin-color structure
+//   2 - t   - timeslice
+//   3 - i   - left  A2A mode index
+//   4 - j   - right A2A mode index
+template <typename T>
+using A2AMatrixSet = Eigen::TensorMap<Eigen::Tensor<T, 5, Eigen::RowMajor>>;
+
+template <typename T>
 class A2AMatrixIo
 {
 public:
@@ -41,26 +60,265 @@ public:
                 const unsigned int nt, const unsigned int ni,
                 const unsigned int nj);
     ~A2AMatrixIo(void) = default;
+    template <typename MetadataType>
     void initFile(const MetadataType &d, const unsigned int chunkSize);
     void saveBlock(const T *data, const unsigned int i, const unsigned int j,
                    const unsigned int blockSizei, const unsigned int blockSizej);
+    void saveBlock(const A2AMatrixSet<T> &m, const unsigned int ext, const unsigned int str,
+                   const unsigned int i, const unsigned int j);
 private:
     std::string  filename_, dataname_;
     unsigned int nt_, ni_, nj_;
 };
 
-template <typename T, typename MetadataType>
-A2AMatrixIo<T, MetadataType>::A2AMatrixIo(std::string filename, 
-                                          std::string dataname, 
-                                          const unsigned int nt, 
-                                          const unsigned int ni,
-                                          const unsigned int nj)
+template <typename T, typename Field>
+class A2AKernel
+{
+public:
+    A2AKernel(void) = default;
+    virtual ~A2AKernel(void) = default;
+    virtual void operator()(A2AMatrixSet<T> &m, const Field *left, const Field *right,
+                          const unsigned int orthogDim, double &time) = 0;
+    virtual double flops(const unsigned int blockSizei, const unsigned int blockSizej) = 0;
+    virtual double bytes(const unsigned int blockSizei, const unsigned int blockSizej) = 0;
+};
+
+template <typename T, typename Field, typename MetadataType, typename TIo = T>
+class A2AMatrixBlockComputation
+{
+private:
+    struct IoHelper
+    {
+        A2AMatrixIo<TIo> io;
+        MetadataType     md;
+        unsigned int     e, s, i, j;
+    };
+    typedef std::function<std::string(const unsigned int, const unsigned int)>  FilenameFn;
+    typedef std::function<MetadataType(const unsigned int, const unsigned int)> MetadataFn;
+public:
+    A2AMatrixBlockComputation(GridBase *grid,
+                              const unsigned int orthogDim,
+                              const unsigned int next,
+                              const unsigned int nstr,
+                              const unsigned int blockSize,
+                              const unsigned int cacheBlockSize,
+                              TimerArray *tArray = nullptr);
+    void execute(const std::vector<Field> &left, 
+                 const std::vector<Field> &right,
+                 A2AKernel<T, Field> &kernel,
+                 const FilenameFn &ionameFn,
+                 const FilenameFn &filenameFn,
+                 const MetadataFn &metadataFn);
+private:
+    void saveBlock(const A2AMatrixSet<TIo> &m, IoHelper &h);
+private:
+    TimerArray            *tArray_;
+    GridBase              *grid_;
+    unsigned int          orthogDim_, nt_, next_, nstr_, blockSize_, cacheBlockSize_;
+    Vector<T>             mCache_;
+    Vector<TIo>           mBuf_;
+    std::vector<IoHelper> nodeIo_;
+};
+
+template <typename T, typename Field, typename MetadataType, typename TIo>
+A2AMatrixBlockComputation<T, Field, MetadataType, TIo>
+::A2AMatrixBlockComputation(GridBase *grid,
+                            const unsigned int orthogDim,
+                            const unsigned int next, 
+                            const unsigned int nstr,
+                            const unsigned int blockSize, 
+                            const unsigned int cacheBlockSize,
+                            TimerArray *tArray)
+: grid_(grid), nt_(grid->GlobalDimensions()[orthogDim]), orthogDim_(orthogDim)
+, next_(next), nstr_(nstr), blockSize_(blockSize), cacheBlockSize_(cacheBlockSize)
+, tArray_(tArray)
+{
+    std::cout << nt_ << std::endl;
+    std::cout << next_ << std::endl;
+    std::cout << nstr_ << std::endl;
+    std::cout << cacheBlockSize_ << std::endl;
+    std::cout << blockSize_ << std::endl;
+    mCache_.resize(nt_*next_*nstr_*cacheBlockSize_*cacheBlockSize_);
+    mBuf_.resize(nt_*next_*nstr_*blockSize_*blockSize_);
+    std::cout << mCache_.size() << std::endl;
+    std::cout << mBuf_.size() << std::endl;
+    std::cout << blockSize << std::endl;
+    std::cout << cacheBlockSize << std::endl;
+}
+
+#define START_TIMER(name) if (tArray_) tArray_->startTimer(name)
+#define STOP_TIMER(name)  if (tArray_) tArray_->stopTimer(name)
+#define GET_TIMER(name)   (tArray_ != nullptr) ? tArray_->getDTimer(name) : 0.
+
+template <typename T, typename Field, typename MetadataType, typename TIo>
+void A2AMatrixBlockComputation<T, Field, MetadataType, TIo>
+::execute(const std::vector<Field> &left, const std::vector<Field> &right,
+          A2AKernel<T, Field> &kernel, const FilenameFn &ionameFn,
+          const FilenameFn &filenameFn, const MetadataFn &metadataFn)
+{
+    //////////////////////////////////////////////////////////////////////////
+    // i,j   is first  loop over SchurBlock factors reusing 5D matrices
+    // ii,jj is second loop over cacheBlock factors for high perf contractoin
+    // iii,jjj are loops within cacheBlock
+    // Total index is sum of these  i+ii+iii etc...
+    //////////////////////////////////////////////////////////////////////////
+    int N_i        = left.size();
+    int N_j        = right.size();
+    double flops;
+    double bytes;
+    double t_kernel = 0.;
+    double nodes    = grid_->NodeCount();
+    double tot_kernel;
+    
+    double t0    = usecond();
+    int NBlock_i = N_i/blockSize_ + (((N_i % blockSize_) != 0) ? 1 : 0);
+    int NBlock_j = N_j/blockSize_ + (((N_j % blockSize_) != 0) ? 1 : 0);
+
+    for(int i=0;i<N_i;i+=blockSize_)
+    for(int j=0;j<N_j;j+=blockSize_)
+    {
+        // Get the W and V vectors for this block^2 set of terms
+        int N_ii = MIN(N_i-i,blockSize_);
+        int N_jj = MIN(N_j-j,blockSize_);
+
+        LOG(Message) << "All-to-all matrix block " 
+                     << j/blockSize_ + NBlock_j*i/blockSize_ + 1 
+                     << "/" << NBlock_i*NBlock_j << " [" << i <<" .. " 
+                     << i+N_ii-1 << ", " << j <<" .. " << j+N_jj-1 << "]" 
+                     << std::endl;
+
+        A2AMatrixSet<TIo> mBlock(mBuf_.data(), next_, nstr_, nt_, N_ii, N_jj);
+
+        // Series of cache blocked chunks of the contractions within this block
+        flops = 0.0;
+        bytes = 0.0;
+        for(int ii=0;ii<N_ii;ii+=cacheBlockSize_)
+        for(int jj=0;jj<N_jj;jj+=cacheBlockSize_)
+        {
+            int N_iii = MIN(N_ii-ii,cacheBlockSize_);
+            int N_jjj = MIN(N_jj-jj,cacheBlockSize_);
+            A2AMatrixSet<T> mCacheBlock(mCache_.data(), next_, nstr_, nt_, N_iii, N_jjj);
+
+            // makeMesonFieldBlock(mfCacheBlock, &w[i+ii], &v[j+jj], gamma_, ph, 
+            //                     env().getNd() - 1, this);
+            START_TIMER("kernel");
+            kernel(mCacheBlock, &left[i+ii], &right[j+jj], orthogDim_, tot_kernel);
+            STOP_TIMER("kernel");
+
+            // flops for general N_c & N_s
+            // flops += vol * ( 2 * 8.0 + 6.0 + 8.0*nmom) * N_iii*N_jjj*ngamma;
+            // bytes += vol * (12.0 * sizeof(Complex) ) * N_iii*N_jjj
+            //          +  vol * ( 2.0 * sizeof(Complex) *nmom ) * N_iii*N_jjj* ngamma;
+            flops += kernel.flops(N_iii, N_jjj);
+            bytes += kernel.bytes(N_iii, N_jjj);
+
+            START_TIMER("cache copy");
+            parallel_for_nest5(int e =0;e<next_;e++)
+            for(int s =0;s< nstr_;s++)
+            for(int t =0;t< nt_;t++)
+            for(int iii=0;iii< N_iii;iii++)
+            for(int jjj=0;jjj< N_jjj;jjj++)
+            {
+                mBlock(e,s,t,ii+iii,jj+jjj) = mCacheBlock(e,s,t,iii,jjj);
+            }
+            STOP_TIMER("cache copy");
+        }
+
+        // perf
+        // tot_kernel = getDTimer("contraction: colour trace & mom.")
+        //              + getDTimer("contraction: local space sum");
+        t_kernel   = tot_kernel - t_kernel;
+        LOG(Message) << "Kernel perf " << flops/t_kernel/1.0e3/nodes 
+                     << " Gflop/s/node " << std::endl;
+        LOG(Message) << "Kernel perf " << bytes/t_kernel*1.0e6/1024/1024/1024/nodes 
+                     << " GB/s/node "  << std::endl;
+        t_kernel = tot_kernel;
+
+        // IO
+        double       blockSize, ioTime;
+        unsigned int myRank = grid_->ThisRank(),
+                        nRank  = grid_->RankCount();
+    
+        LOG(Message) << "Writing block to disk" << std::endl;
+        ioTime = -GET_TIMER("IO: write block");
+        START_TIMER("IO: total");
+        makeFileDir(filenameFn(0, 0), grid_);
+#ifdef HADRONS_A2AM_PARALLEL_IO
+        grid_->Barrier();
+        // make task list for current node
+        nodeIo_.clear();
+        for(int f = myRank; f < next_*nstr_; f += nRank)
+        {
+            IoHelper h;
+
+            h.i  = i;
+            h.j  = j;
+            h.e  = f/nstr_;
+            h.s  = f % nstr_;
+            h.io = A2AMatrixIo<TIo>(filenameFn(h.e, h.s), 
+                                    ionameFn(h.e, h.s), nt_, N_i, N_j);
+            h.md = metadataFn(h.e, h.s);
+            nodeIo_.push_back(h);
+        }
+        // parallel IO
+        for (auto &h: nodeIo_)
+        {
+            saveBlock(mBlock, h);
+        }
+        grid_->Barrier();
+#else
+        // serial IO, for testing purposes only
+        for(int e = 0; e < next_; e++)
+        for(int s = 0; s < nstr_; s++)
+        {
+            IoHelper h;
+
+            h.i  = i;
+            h.j  = j;
+            h.e  = e;
+            h.s  = s;
+            h.io = A2AMatrixIo<TIo>(filenameFn(h.e, h.s), 
+                                    ionameFn(h.e, h.s), nt_, N_i, N_j);
+            h.md = metadataFn(h.e, h.s);
+            saveBlock(mfBlock, h);
+        }
+#endif
+        STOP_TIMER("IO: total");
+        blockSize  = static_cast<double>(next_*nstr_*nt_*N_ii*N_jj*sizeof(TIo));
+        ioTime    += GET_TIMER("IO: write block");
+        LOG(Message) << "HDF5 IO done " << sizeString(blockSize) << " in "
+                     << ioTime  << " us (" 
+                     << blockSize/ioTime*1.0e6/1024/1024
+                     << " MB/s)" << std::endl;
+    }
+}
+
+template <typename T, typename Field, typename MetadataType, typename TIo>
+void A2AMatrixBlockComputation<T, Field, MetadataType, TIo>
+::saveBlock(const A2AMatrixSet<TIo> &m, IoHelper &h)
+{
+    if ((h.i == 0) and (h.j == 0))
+    {
+        START_TIMER("IO: file creation");
+        h.io.initFile(h.md, blockSize_);
+        STOP_TIMER("IO: file creation");
+    }
+    START_TIMER("IO: write block");
+    h.io.saveBlock(m, h.e, h.s, h.i, h.j);
+    STOP_TIMER("IO: write block");
+}
+
+template <typename T>
+A2AMatrixIo<T>::A2AMatrixIo(std::string filename, std::string dataname, 
+                            const unsigned int nt, const unsigned int ni,
+                            const unsigned int nj)
 : filename_(filename), dataname_(dataname)
 , nt_(nt), ni_(ni), nj_(nj)
 {}
 
-template <typename T, typename MetadataType>
-void A2AMatrixIo<T, MetadataType>::initFile(const MetadataType &d, const unsigned int chunkSize)
+template <typename T>
+template <typename MetadataType>
+void A2AMatrixIo<T>::initFile(const MetadataType &d, const unsigned int chunkSize)
 {
 #ifdef HAVE_HDF5
     std::vector<hsize_t>    dim = {static_cast<hsize_t>(nt_), 
@@ -85,18 +343,18 @@ void A2AMatrixIo<T, MetadataType>::initFile(const MetadataType &d, const unsigne
     push(reader, dataname_);
     auto &group = reader.getGroup();
     plist.setChunk(chunk.size(), chunk.data());
-    dataset = group.createDataSet("data", Hdf5Type<T>::type(), dataspace, plist);
+    dataset = group.createDataSet(HADRONS_A2AM_NAME, Hdf5Type<T>::type(), dataspace, plist);
 #else
     HADRONS_ERROR(Implementation, "all-to-all matrix I/O needs HDF5 library");
 #endif
 }
 
-template <typename T, typename MetadataType>
-void A2AMatrixIo<T, MetadataType>::saveBlock(const T *data, 
-                                             const unsigned int i, 
-                                             const unsigned int j,
-                                             const unsigned int blockSizei,
-                                             const unsigned int blockSizej)
+template <typename T>
+void A2AMatrixIo<T>::saveBlock(const T *data, 
+                               const unsigned int i, 
+                               const unsigned int j,
+                               const unsigned int blockSizei,
+                               const unsigned int blockSizej)
 {
 #ifdef HAVE_HDF5
     Hdf5Reader           reader(filename_);
@@ -111,7 +369,7 @@ void A2AMatrixIo<T, MetadataType>::saveBlock(const T *data,
 
     push(reader, dataname_);
     auto &group = reader.getGroup();
-    dataset     = group.openDataSet("data");
+    dataset     = group.openDataSet(HADRONS_A2AM_NAME);
     dataspace   = dataset.getSpace();
     dataspace.selectHyperslab(H5S_SELECT_SET, count.data(), offset.data(),
                               stride.data(), block.data());
@@ -121,6 +379,21 @@ void A2AMatrixIo<T, MetadataType>::saveBlock(const T *data,
 #endif
 }
 
+template <typename T>
+void A2AMatrixIo<T>::saveBlock(const A2AMatrixSet<T> &m,
+                               const unsigned int ext, const unsigned int str,
+                               const unsigned int i, const unsigned int j)
+{
+    unsigned int blockSizei = m.dimension(3);
+    unsigned int blockSizej = m.dimension(4);
+    unsigned int nstr       = m.dimension(1);
+    size_t       offset     = (ext*nstr + str)*nt_*blockSizei*blockSizej;
+
+    saveBlock(m.data() + offset, i, j, blockSizei, blockSizej);
+}
+
+
+
 END_HADRONS_NAMESPACE
 
 #endif // A2A_Matrix_hpp_
diff --git a/Hadrons/Makefile.am b/Hadrons/Makefile.am
index 4ec45c03..206011f4 100644
--- a/Hadrons/Makefile.am
+++ b/Hadrons/Makefile.am
@@ -11,6 +11,7 @@ libHadrons_a_SOURCES = \
 	Exceptions.cc      \
     Global.cc          \
     Module.cc		   \
+	TimerArray.cc      \
 	VirtualMachine.cc
 libHadrons_adir = $(includedir)/Hadrons
 nobase_libHadrons_a_HEADERS = \
@@ -31,4 +32,5 @@ nobase_libHadrons_a_HEADERS = \
 	Modules.hpp               \
 	ModuleFactory.hpp         \
 	Solver.hpp                \
+	TimerArray.hpp            \
 	VirtualMachine.hpp
diff --git a/Hadrons/Module.cc b/Hadrons/Module.cc
index 3a610ae6..3d4e834a 100644
--- a/Hadrons/Module.cc
+++ b/Hadrons/Module.cc
@@ -66,101 +66,6 @@ void ModuleBase::operator()(void)
     stopAllTimers();
 }
 
-// timers //////////////////////////////////////////////////////////////////////
-void ModuleBase::startTimer(const std::string &name)
-{
-    if (!name.empty())
-    {
-        timer_[name].Start();
-    }
-}
-
-GridTime ModuleBase::getTimer(const std::string &name)
-{
-    GridTime t;
-    
-    if (!name.empty())
-    {
-        try
-        {
-            bool running = timer_.at(name).isRunning();
-
-            if (running) stopTimer(name);
-            t = timer_.at(name).Elapsed();
-            if (running) startTimer(name);
-        }
-        catch (std::out_of_range &)
-        {
-            t = GridTime::zero();
-        }
-    }
-    else
-    {
-        t = GridTime::zero();
-    }
-
-    return t;
-}
-
-double ModuleBase::getDTimer(const std::string &name)
-{
-    return static_cast<double>(getTimer(name).count());
-}
-
-void ModuleBase::startCurrentTimer(const std::string &name)
-{
-    if (!name.empty())
-    {
-        stopCurrentTimer();
-        startTimer(name);
-        currentTimer_ = name;
-    }
-}
-
-void ModuleBase::stopTimer(const std::string &name)
-{
-    if (timer_.at(name).isRunning())
-    {
-        timer_.at(name).Stop();
-    }
-}
-
-void ModuleBase::stopCurrentTimer(void)
-{
-    if (!currentTimer_.empty())
-    {
-        stopTimer(currentTimer_);
-        currentTimer_ = "";
-    }
-}
-
-void ModuleBase::stopAllTimers(void)
-{
-    for (auto &t: timer_)
-    {
-        stopTimer(t.first);
-    }
-    currentTimer_ = "";
-}
-
-void ModuleBase::resetTimers(void)
-{
-    timer_.clear();
-    currentTimer_ = "";
-}
-
-std::map<std::string, GridTime> ModuleBase::getTimings(void)
-{
-    std::map<std::string, GridTime> timing;
-
-    for (auto &t: timer_)
-    {
-        timing[t.first] = t.second.Elapsed();
-    }
-
-    return timing;
-}
-
 std::string ModuleBase::makeSeedString(void)
 {
     std::string seed;
diff --git a/Hadrons/Module.hpp b/Hadrons/Module.hpp
index 083040ce..752b821e 100644
--- a/Hadrons/Module.hpp
+++ b/Hadrons/Module.hpp
@@ -30,6 +30,7 @@ See the full license in the file "LICENSE" in the top level distribution directo
 #define Hadrons_Module_hpp_
 
 #include <Hadrons/Global.hpp>
+#include <Hadrons/TimerArray.hpp>
 #include <Hadrons/VirtualMachine.hpp>
 
 BEGIN_HADRONS_NAMESPACE
@@ -152,7 +153,7 @@ if (env().getGrid()->IsBoss() and !ioStem.empty())\
  *                            Module class                                    *
  ******************************************************************************/
 // base class
-class ModuleBase
+class ModuleBase: public TimerArray
 {
 public:
     // constructor
@@ -180,16 +181,6 @@ public:
     virtual void execute(void) = 0;
     // execution
     void operator()(void);
-    // timers
-    void                            startTimer(const std::string &name);
-    GridTime                        getTimer(const std::string &name);
-    double                          getDTimer(const std::string &name);
-    void                            startCurrentTimer(const std::string &name);
-    void                            stopTimer(const std::string &name);
-    void                            stopCurrentTimer(void);
-    void                            stopAllTimers(void);
-    void                            resetTimers(void);
-    std::map<std::string, GridTime> getTimings(void);
 protected:
     // environment shortcut
     DEFINE_ENV_ALIAS;
diff --git a/Hadrons/Modules.hpp b/Hadrons/Modules.hpp
index 5dcb2483..634d588d 100644
--- a/Hadrons/Modules.hpp
+++ b/Hadrons/Modules.hpp
@@ -1,6 +1,6 @@
 #include <Hadrons/Modules/MContraction/Baryon.hpp>
 #include <Hadrons/Modules/MContraction/A2AMesonField.hpp>
-#include <Hadrons/Modules/MContraction/A2AMesonFieldKernels.hpp>
+#include <Hadrons/Modules/MContraction/A2AKernels.hpp>
 #include <Hadrons/Modules/MContraction/Meson.hpp>
 #include <Hadrons/Modules/MContraction/WeakHamiltonian.hpp>
 #include <Hadrons/Modules/MContraction/WeakHamiltonianNonEye.hpp>
diff --git a/Hadrons/Modules/MContraction/A2AMesonFieldKernels.hpp b/Hadrons/Modules/MContraction/A2AKernels.hpp
similarity index 52%
rename from Hadrons/Modules/MContraction/A2AMesonFieldKernels.hpp
rename to Hadrons/Modules/MContraction/A2AKernels.hpp
index 76317ea0..44959142 100644
--- a/Hadrons/Modules/MContraction/A2AMesonFieldKernels.hpp
+++ b/Hadrons/Modules/MContraction/A2AKernels.hpp
@@ -31,7 +31,6 @@ See the full license in the file "LICENSE" in the top level distribution directo
 
 #include <Hadrons/Global.hpp>
 #include <Hadrons/Module.hpp>
-#include <Grid/Eigen/unsupported/CXX11/Tensor>
 
 BEGIN_HADRONS_NAMESPACE
 
@@ -45,10 +44,10 @@ template <typename Field, typename MesonField>
 void makeMesonFieldBlock(MesonField &mat, 
                          const Field *lhs_wi,
                          const Field *rhs_vj,
-                         std::vector<Gamma::Algebra> gamma,
+                         const std::vector<Gamma::Algebra> &gamma,
                          const std::vector<LatticeComplex> &mom,
                          int orthogdim,
-                         ModuleBase *caller = nullptr) 
+                         double &time) 
 {
     typedef typename Field::vector_object vobj;
     typedef typename vobj::scalar_object  sobj;
@@ -58,6 +57,8 @@ void makeMesonFieldBlock(MesonField &mat,
     typedef iSpinMatrix<vector_type> SpinMatrix_v;
     typedef iSpinMatrix<scalar_type> SpinMatrix_s;
     
+    TimerArray tArray;
+
     int Lblock = mat.dimension(3); 
     int Rblock = mat.dimension(4);
 
@@ -96,7 +97,7 @@ void makeMesonFieldBlock(MesonField &mat,
     int e2=    grid->_slice_block [orthogdim];
     int stride=grid->_slice_stride[orthogdim];
 
-    if (caller) caller->startTimer("contraction: colour trace & mom.");
+    tArray.startTimer("contraction: colour trace & mom.");
     // Nested parallelism would be ok
     // Wasting cores here. Test case r
     parallel_for(int r=0;r<rd;r++)
@@ -138,10 +139,10 @@ void makeMesonFieldBlock(MesonField &mat,
             }
         }
     }
-    if (caller) caller->stopTimer("contraction: colour trace & mom.");
+    tArray.stopTimer("contraction: colour trace & mom.");
 
     // Sum across simd lanes in the plane, breaking out orthog dir.
-    if (caller) caller->startTimer("contraction: local space sum");
+    tArray.startTimer("contraction: local space sum");
     parallel_for(int rt=0;rt<rd;rt++)
     {
         std::vector<int> icoor(Nd);
@@ -166,10 +167,12 @@ void makeMesonFieldBlock(MesonField &mat,
             }
         }
     }
-    if (caller) caller->stopTimer("contraction: local space sum");
+    tArray.stopTimer("contraction: local space sum");
+    time = tArray.getDTimer("contraction: colour trace & mom.")
+           + tArray.getDTimer("contraction: local space sum");
 
     // ld loop and local only??
-    if (caller) caller->startTimer("contraction: spin trace");
+    tArray.startTimer("contraction: spin trace");
     int pd = grid->_processors[orthogdim];
     int pc = grid->_processor_coor[orthogdim];
     parallel_for_nest2(int lt=0;lt<ld;lt++)
@@ -206,14 +209,198 @@ void makeMesonFieldBlock(MesonField &mat,
             }
         }
     }
-    if (caller) caller->stopTimer("contraction: spin trace");
+    tArray.stopTimer("contraction: spin trace");
     ////////////////////////////////////////////////////////////////////
     // This global sum is taking as much as 50% of time on 16 nodes
     // Vector size is 7 x 16 x 32 x 16 x 16 x sizeof(complex) = 2MB - 60MB depending on volume
     // Healthy size that should suffice
     ////////////////////////////////////////////////////////////////////
-    if (caller) caller->startTimer("contraction: global sum");
+    tArray.startTimer("contraction: global sum");
     grid->GlobalSumVector(&mat(0,0,0,0,0),Nmom*Ngamma*Nt*Lblock*Rblock);
+    tArray.stopTimer("contraction: global sum");
+}
+
+template <typename Field, typename AslashField>
+void makeAslashFieldBlock(AslashField &mat, 
+                          const Field *lhs_wi,
+                          const Field *rhs_vj,
+                          const std::vector<LatticeComplex> &emB0,
+                          const std::vector<LatticeComplex> &emB1,
+                          int orthogdim,
+                          ModuleBase *caller = nullptr) 
+{
+    typedef typename Field::vector_object vobj;
+    typedef typename vobj::scalar_object  sobj;
+    typedef typename vobj::scalar_type    scalar_type;
+    typedef typename vobj::vector_type    vector_type;
+
+    typedef iSpinMatrix<vector_type> SpinMatrix_v;
+    typedef iSpinMatrix<scalar_type> SpinMatrix_s;
+    
+    int Lblock = mat.dimension(2); 
+    int Rblock = mat.dimension(3);
+
+    GridBase *grid = lhs_wi[0]._grid;
+    
+    const int    Nd = grid->_ndimension;
+    const int Nsimd = grid->Nsimd();
+
+    int Nt  = grid->GlobalDimensions()[orthogdim];
+    int Nem = emB0.size();
+    assert(emB1.size() == Nem);
+
+    int fd=grid->_fdimensions[orthogdim];
+    int ld=grid->_ldimensions[orthogdim];
+    int rd=grid->_rdimensions[orthogdim];
+
+    // will locally sum vectors first
+    // sum across these down to scalars
+    // splitting the SIMD
+    int MFrvol = rd*Lblock*Rblock*Nem;
+    int MFlvol = ld*Lblock*Rblock*Nem;
+
+    Vector<vector_type> lvSum(MFrvol);
+    parallel_for (int r = 0; r < MFrvol; r++)
+    {
+        lvSum[r] = zero;
+    }
+
+    Vector<scalar_type> lsSum(MFlvol);             
+    parallel_for (int r = 0; r < MFlvol; r++)
+    {
+        lsSum[r] = scalar_type(0.0);
+    }
+
+    int e1=    grid->_slice_nblock[orthogdim];
+    int e2=    grid->_slice_block [orthogdim];
+    int stride=grid->_slice_stride[orthogdim];
+
+    if (caller) caller->startTimer("contraction: colour trace & Aslash mul");
+    // Nested parallelism would be ok
+    // Wasting cores here. Test case r
+    parallel_for(int r=0;r<rd;r++)
+    {
+        int so=r*grid->_ostride[orthogdim]; // base offset for start of plane 
+
+        for(int n=0;n<e1;n++)
+        for(int b=0;b<e2;b++)
+        {
+            int ss= so+n*stride+b;
+
+            for(int i=0;i<Lblock;i++)
+            {
+                auto left = conjugate(lhs_wi[i]._odata[ss]);
+
+                for(int j=0;j<Rblock;j++)
+                {
+                    SpinMatrix_v vv;
+                    auto right = rhs_vj[j]._odata[ss];
+
+                    for(int s1=0;s1<Ns;s1++)
+                    for(int s2=0;s2<Ns;s2++)
+                    {
+                        vv()(s1,s2)() = left()(s2)(0) * right()(s1)(0)
+                                        + left()(s2)(1) * right()(s1)(1)
+                                        + left()(s2)(2) * right()(s1)(2);
+                    }
+                    
+                    // After getting the sitewise product do the mom phase loop
+                    int base = Nem*i+Nem*Lblock*j+Nem*Lblock*Rblock*r;
+
+                    for ( int m=0;m<Nem;m++)
+                    {
+                        int idx  = m+base;
+                        auto b0  = emB0[m]._odata[ss];
+                        auto b1  = emB1[m]._odata[ss];
+                        auto cb0 = conjugate(b0);
+                        auto cb1 = conjugate(b1);
+
+                        // B_0 = A_1 + i A_0
+                        // B_1 = A_3 + i A_2
+                        // 
+                        // then in spin space
+                        // 
+                        //             ( 0          0         B_1 -conj(B_0) )
+                        // A_mu g_mu = ( 0          0         B_0  conj(B_1) )
+                        //             ( conj(B_1)  conj(B_0) 0    0         )
+                        //             ( -B_0       B_1       0    0         )
+
+                        lvSum[idx] +=   vv()(0,2)()*b1  - vv()(0,3)()*cb0
+                                        + vv()(1,2)()*b0  + vv()(1,3)()*cb1
+                                        + vv()(2,0)()*cb1 + vv()(2,1)()*cb0 
+                                        - vv()(3,0)()*b0  + vv()(3,1)()*b1;
+                    }
+                }
+            }
+        }
+    }
+    if (caller) caller->stopTimer("contraction: colour trace & Aslash mul");
+
+    // Sum across simd lanes in the plane, breaking out orthog dir.
+    if (caller) caller->startTimer("contraction: local space sum");
+    parallel_for(int rt=0;rt<rd;rt++)
+    {
+        std::vector<int> icoor(Nd);
+        std::vector<scalar_type> extracted(Nsimd);               
+
+        for(int i=0;i<Lblock;i++)
+        for(int j=0;j<Rblock;j++)
+        for(int m=0;m<Nem;m++)
+        {
+
+            int ij_rdx = m+Nem*i+Nem*Lblock*j+Nem*Lblock*Rblock*rt;
+
+            extract(lvSum[ij_rdx],extracted);
+            for(int idx=0;idx<Nsimd;idx++)
+            {
+                grid->iCoorFromIindex(icoor,idx);
+
+                int ldx    = rt+icoor[orthogdim]*rd;
+                int ij_ldx = m+Nem*i+Nem*Lblock*j+Nem*Lblock*Rblock*ldx;
+
+                lsSum[ij_ldx]=lsSum[ij_ldx]+extracted[idx];
+            }
+        }
+    }
+    if (caller) caller->stopTimer("contraction: local space sum");
+
+    // ld loop and local only??
+    if (caller) caller->startTimer("contraction: tensor store");
+    int pd = grid->_processors[orthogdim];
+    int pc = grid->_processor_coor[orthogdim];
+    parallel_for_nest2(int lt=0;lt<ld;lt++)
+    {
+        for(int pt=0;pt<pd;pt++)
+        {
+            int t = lt + pt*ld;
+            if (pt == pc)
+            {
+                for(int i=0;i<Lblock;i++)
+                for(int j=0;j<Rblock;j++)
+                for(int m=0;m<Nem;m++)
+                {
+                    int ij_dx = m+Nem*i + Nem*Lblock * j + Nem*Lblock * Rblock * lt;
+
+                    mat(m,t,i,j) = lsSum[ij_dx];
+                }
+            } 
+            else 
+            { 
+                const scalar_type zz(0.0);
+
+                for(int i=0;i<Lblock;i++)
+                for(int j=0;j<Rblock;j++)
+                for(int m=0;m<Nem;m++)
+                {
+                    mat(m,t,i,j) = zz;
+                }
+            }
+        }
+    }
+    if (caller) caller->stopTimer("contraction: tensor store");
+
+    if (caller) caller->startTimer("contraction: global sum");
+    grid->GlobalSumVector(&mat(0,0,0,0),Nem*Nt*Lblock*Rblock);
     if (caller) caller->stopTimer("contraction: global sum");
 }
 
diff --git a/Hadrons/Modules/MContraction/A2AMesonField.hpp b/Hadrons/Modules/MContraction/A2AMesonField.hpp
index 9e07ec6c..4d5f7ddd 100644
--- a/Hadrons/Modules/MContraction/A2AMesonField.hpp
+++ b/Hadrons/Modules/MContraction/A2AMesonField.hpp
@@ -36,7 +36,7 @@ See the full license in the file "LICENSE" in the top level distribution directo
 #include <Hadrons/A2AVectors.hpp>
 #include <Hadrons/A2AMatrix.hpp>
 #include <Hadrons/Modules/MSolver/A2AVectors.hpp>
-#include <Hadrons/Modules/MContraction/A2AMesonFieldKernels.hpp>
+#include <Hadrons/Modules/MContraction/A2AKernels.hpp>
 
 #define MF_PARALLEL_IO
 #ifndef MF_IO_TYPE
@@ -71,21 +71,62 @@ public:
                                     Gamma::Algebra, gamma);
 };
 
+template <typename T, typename Field>
+class MesonFieldKernel: public A2AKernel<T, Field>
+{
+public:
+    MesonFieldKernel(const std::vector<Gamma::Algebra> &gamma,
+                     const std::vector<LatticeComplex> &mom,
+                     GridBase *grid)
+    : gamma_(gamma), mom_(mom), grid_(grid)
+    {
+        vol_ = 1.;
+        for (auto &d: grid_->GlobalDimensions())
+        {
+            vol_ *= d;
+        }
+    }
+
+    virtual ~MesonFieldKernel(void) = default;
+    virtual void operator()(A2AMatrixSet<T> &m, const Field *left, const Field *right,
+                          const unsigned int orthogDim, double &time)
+    {
+        makeMesonFieldBlock(m, left, right, gamma_, mom_, orthogDim, time);
+    }
+
+    virtual double flops(const unsigned int blockSizei, const unsigned int blockSizej)
+    {
+        return vol_*(2*8.0+6.0+8.0*mom_.size())*blockSizei*blockSizej*gamma_.size();
+    }
+
+    virtual double bytes(const unsigned int blockSizei, const unsigned int blockSizej)
+    {
+        return vol_*(12.0*sizeof(T))*blockSizei*blockSizej
+               +  vol_*(2.0*sizeof(T)*mom_.size())*blockSizei*blockSizej*gamma_.size();
+    }
+private:
+    const std::vector<Gamma::Algebra> &gamma_;
+    const std::vector<LatticeComplex> &mom_;
+    GridBase                          *grid_;
+    double                            vol_;
+};
+
 template <typename FImpl>
 class TA2AMesonField : public Module<A2AMesonFieldPar>
 {
 public:
     FERM_TYPE_ALIASES(FImpl,);
     SOLVER_TYPE_ALIASES(FImpl,);
-    typedef Eigen::TensorMap<Eigen::Tensor<Complex, 5, Eigen::RowMajor>>    MesonField;
-    typedef Eigen::TensorMap<Eigen::Tensor<MF_IO_TYPE, 5, Eigen::RowMajor>> MesonFieldIo;
-    typedef A2AMatrixIo<MF_IO_TYPE, A2AMesonFieldMetadata>                  MatrixIo;
+    typedef A2AMatrixBlockComputation<Complex, 
+                                      FermionField, 
+                                      A2AMesonFieldMetadata, 
+                                      MF_IO_TYPE> Computation;
+    typedef MesonFieldKernel<Complex, FermionField> Kernel;
     struct IoHelper
     {
-        MatrixIo              io;
-        A2AMesonFieldMetadata metadata;
-        size_t                offset;
-        unsigned int          i, j, blockSizei, blockSizej;
+        A2AMatrixIo<MF_IO_TYPE> io;
+        A2AMesonFieldMetadata   md;
+        unsigned int            m, g, i, j;
     };
 public:
     // constructor
@@ -103,13 +144,13 @@ private:
     // IO
     std::string ioname(const unsigned int m, const unsigned int g) const;
     std::string filename(const unsigned int m, const unsigned int g) const;
-    void saveBlock(const MF_IO_TYPE *data, IoHelper &h);
+    void saveBlock(const A2AMatrixSet<MF_IO_TYPE> &mf, IoHelper &h);
 private:
-    bool                                               hasPhase_{false};
-    std::string                                        momphName_;
-    std::vector<Gamma::Algebra>                        gamma_;
-    std::vector<std::vector<Real>>                     mom_;
-    std::vector<IoHelper>                              nodeIo_;
+    bool                               hasPhase_{false};
+    std::string                        momphName_;
+    std::vector<Gamma::Algebra>        gamma_;
+    std::vector<std::vector<Real>>     mom_;
+    std::vector<IoHelper>              nodeIo_;
 };
 
 MODULE_REGISTER(A2AMesonField, ARG(TA2AMesonField<FIMPL>), MContraction);
@@ -190,11 +231,9 @@ void TA2AMesonField<FImpl>::setup(void)
     envCache(std::vector<ComplexField>, momphName_, 1, 
              par().mom.size(), envGetGrid(ComplexField));
     envTmpLat(ComplexField, "coor");
-    // preallocate memory for meson field block
-    auto tgp = env().getDim().back()*gamma_.size()*mom_.size();
-
-    envTmp(Vector<MF_IO_TYPE>, "mfBuf", 1, tgp*par().block*par().block);
-    envTmp(Vector<Complex>, "mfCache", 1, tgp*par().cacheBlock*par().cacheBlock);
+    envTmp(Computation, "computation", 1, envGetGrid(FermionField), 
+           env().getNd() - 1, mom_.size(), gamma_.size(), par().block, 
+           par().cacheBlock, this);
 }
 
 // execution ///////////////////////////////////////////////////////////////////
@@ -253,7 +292,43 @@ void TA2AMesonField<FImpl>::execute(void)
         hasPhase_ = true;
         stopTimer("Momentum phases");
     }
-    
+
+    auto ionameFn = [this](const unsigned int m, const unsigned int g)
+    {
+        std::stringstream ss;
+
+        ss << gamma_[g] << "_";
+        for (unsigned int mu = 0; mu < mom_[m].size(); ++mu)
+        {
+            ss << mom_[m][mu] << ((mu == mom_[m].size() - 1) ? "" : "_");
+        }
+
+        return ss.str();
+    };
+
+    auto filenameFn = [this, &ionameFn](const unsigned int m, const unsigned int g)
+    {
+        return par().output + "." + std::to_string(vm().getTrajectory()) 
+               + "/" + ioname(m, g) + ".h5";
+    };
+
+    auto metadataFn = [this](const unsigned int m, const unsigned int g)
+    {
+        A2AMesonFieldMetadata md;
+
+        for (auto pmu: mom_[m])
+        {
+            md.momentum.push_back(pmu);
+        }
+        md.gamma = gamma_[g];
+        
+        return md;
+    };
+
+    Kernel      kernel(gamma_, ph, envGetGrid(FermionField));
+
+    envGetTmp(Computation, computation);
+    computation.execute(w, v, kernel, ionameFn, filenameFn, metadataFn);
     //////////////////////////////////////////////////////////////////////////
     // i,j   is first  loop over SchurBlock factors reusing 5D matrices
     // ii,jj is second loop over cacheBlock factors for high perf contractoin
@@ -261,145 +336,145 @@ void TA2AMesonField<FImpl>::execute(void)
     // Total index is sum of these  i+ii+iii etc...
     //////////////////////////////////////////////////////////////////////////
     
-    double flops;
-    double bytes;
-    double vol      = env().getVolume();
-    double t_kernel = 0.0;
-    double nodes    = env().getGrid()->NodeCount();
-    double tot_kernel;
+//     double flops;
+//     double bytes;
+//     double vol      = env().getVolume();
+//     double t_kernel = 0.0;
+//     double nodes    = env().getGrid()->NodeCount();
+//     double tot_kernel;
 
-    envGetTmp(Vector<MF_IO_TYPE>, mfBuf);
-    envGetTmp(Vector<Complex>, mfCache);
+//     envGetTmp(Vector<MF_IO_TYPE>, mfBuf);
+//     envGetTmp(Vector<Complex>, mfCache);
     
-    double t0    = usecond();
-    int NBlock_i = N_i/block + (((N_i % block) != 0) ? 1 : 0);
-    int NBlock_j = N_j/block + (((N_j % block) != 0) ? 1 : 0);
+//     double t0    = usecond();
+//     int NBlock_i = N_i/block + (((N_i % block) != 0) ? 1 : 0);
+//     int NBlock_j = N_j/block + (((N_j % block) != 0) ? 1 : 0);
 
-    for(int i=0;i<N_i;i+=block)
-    for(int j=0;j<N_j;j+=block)
-    {
-        // Get the W and V vectors for this block^2 set of terms
-        int N_ii = MIN(N_i-i,block);
-        int N_jj = MIN(N_j-j,block);
+//     for(int i=0;i<N_i;i+=block)
+//     for(int j=0;j<N_j;j+=block)
+//     {
+//         // Get the W and V vectors for this block^2 set of terms
+//         int N_ii = MIN(N_i-i,block);
+//         int N_jj = MIN(N_j-j,block);
 
-        LOG(Message) << "Meson field block " 
-                    << j/block + NBlock_j*i/block + 1 
-                    << "/" << NBlock_i*NBlock_j << " [" << i <<" .. " 
-                    << i+N_ii-1 << ", " << j <<" .. " << j+N_jj-1 << "]" 
-                    << std::endl;
+//         LOG(Message) << "Meson field block " 
+//                     << j/block + NBlock_j*i/block + 1 
+//                     << "/" << NBlock_i*NBlock_j << " [" << i <<" .. " 
+//                     << i+N_ii-1 << ", " << j <<" .. " << j+N_jj-1 << "]" 
+//                     << std::endl;
 
-        MesonFieldIo mfBlock(mfBuf.data(),nmom,ngamma,nt,N_ii,N_jj);
+//         A2AMatrixSet<MF_IO_TYPE> mfBlock(mfBuf.data(),nmom,ngamma,nt,N_ii,N_jj);
 
-        // Series of cache blocked chunks of the contractions within this block
-        flops = 0.0;
-        bytes = 0.0;
-        for(int ii=0;ii<N_ii;ii+=cacheBlock)
-        for(int jj=0;jj<N_jj;jj+=cacheBlock)
-        {
-            int N_iii = MIN(N_ii-ii,cacheBlock);
-            int N_jjj = MIN(N_jj-jj,cacheBlock);
-            MesonField mfCacheBlock(mfCache.data(),nmom,ngamma,nt,N_iii,N_jjj);    
+//         // Series of cache blocked chunks of the contractions within this block
+//         flops = 0.0;
+//         bytes = 0.0;
+//         for(int ii=0;ii<N_ii;ii+=cacheBlock)
+//         for(int jj=0;jj<N_jj;jj+=cacheBlock)
+//         {
+//             int N_iii = MIN(N_ii-ii,cacheBlock);
+//             int N_jjj = MIN(N_jj-jj,cacheBlock);
+//             A2AMatrixSet<Complex> mfCacheBlock(mfCache.data(),nmom,ngamma,nt,N_iii,N_jjj);    
 
-            startTimer("contraction: total");
-            makeMesonFieldBlock(mfCacheBlock, &w[i+ii], &v[j+jj], gamma_, ph, 
-                                env().getNd() - 1, this);
-            stopTimer("contraction: total");
+//             startTimer("contraction: total");
+//             makeMesonFieldBlock(mfCacheBlock, &w[i+ii], &v[j+jj], gamma_, ph, 
+//                                 env().getNd() - 1, this);
+//             stopTimer("contraction: total");
             
-            // flops for general N_c & N_s
-            flops += vol * ( 2 * 8.0 + 6.0 + 8.0*nmom) * N_iii*N_jjj*ngamma;
-            bytes += vol * (12.0 * sizeof(Complex) ) * N_iii*N_jjj
-                     +  vol * ( 2.0 * sizeof(Complex) *nmom ) * N_iii*N_jjj* ngamma;
+//             // flops for general N_c & N_s
+//             flops += vol * ( 2 * 8.0 + 6.0 + 8.0*nmom) * N_iii*N_jjj*ngamma;
+//             bytes += vol * (12.0 * sizeof(Complex) ) * N_iii*N_jjj
+//                      +  vol * ( 2.0 * sizeof(Complex) *nmom ) * N_iii*N_jjj* ngamma;
 
-            startTimer("cache copy");
-            parallel_for_nest5(int m =0;m< nmom;m++)
-            for(int g =0;g< ngamma;g++)
-            for(int t =0;t< nt;t++)
-            for(int iii=0;iii< N_iii;iii++)
-            for(int jjj=0;jjj< N_jjj;jjj++)
-            {
-                mfBlock(m,g,t,ii+iii,jj+jjj) = mfCacheBlock(m,g,t,iii,jjj);
-            }
-            stopTimer("cache copy");
-        }
+//             startTimer("cache copy");
+//             parallel_for_nest5(int m =0;m< nmom;m++)
+//             for(int g =0;g< ngamma;g++)
+//             for(int t =0;t< nt;t++)
+//             for(int iii=0;iii< N_iii;iii++)
+//             for(int jjj=0;jjj< N_jjj;jjj++)
+//             {
+//                 mfBlock(m,g,t,ii+iii,jj+jjj) = mfCacheBlock(m,g,t,iii,jjj);
+//             }
+//             stopTimer("cache copy");
+//         }
 
-        // perf
-        tot_kernel = getDTimer("contraction: colour trace & mom.")
-                     + getDTimer("contraction: local space sum");
-        t_kernel   = tot_kernel - t_kernel;
-        LOG(Message) << "Kernel perf " << flops/t_kernel/1.0e3/nodes 
-                     << " Gflop/s/node " << std::endl;
-        LOG(Message) << "Kernel perf " << bytes/t_kernel*1.0e6/1024/1024/1024/nodes 
-                     << " GB/s/node "  << std::endl;
-        t_kernel = tot_kernel;
+//         // perf
+//         tot_kernel = getDTimer("contraction: colour trace & mom.")
+//                      + getDTimer("contraction: local space sum");
+//         t_kernel   = tot_kernel - t_kernel;
+//         LOG(Message) << "Kernel perf " << flops/t_kernel/1.0e3/nodes 
+//                      << " Gflop/s/node " << std::endl;
+//         LOG(Message) << "Kernel perf " << bytes/t_kernel*1.0e6/1024/1024/1024/nodes 
+//                      << " GB/s/node "  << std::endl;
+//         t_kernel = tot_kernel;
 
-        // IO
-        if (!par().output.empty())
-        {
-            double       blockSize, ioTime;
-            unsigned int myRank = env().getGrid()->ThisRank(),
-                         nRank  = env().getGrid()->RankCount();
+//         // IO
+//         if (!par().output.empty())
+//         {
+//             double       blockSize, ioTime;
+//             unsigned int myRank = env().getGrid()->ThisRank(),
+//                          nRank  = env().getGrid()->RankCount();
         
-            LOG(Message) << "Writing block to disk" << std::endl;
-            ioTime = -getDTimer("IO: write block");
-            startTimer("IO: total");
-            makeFileDir(filename(0, 0), env().getGrid());
-#ifdef MF_PARALLEL_IO
-            env().getGrid()->Barrier();
-            nodeIo_.clear();
-            for(int f = myRank; f < nmom*ngamma; f += nRank)
-            {
-                const unsigned int    m = f/ngamma, g = f % ngamma;
-                IoHelper              h;
+//             LOG(Message) << "Writing block to disk" << std::endl;
+//             ioTime = -getDTimer("IO: write block");
+//             startTimer("IO: total");
+//             makeFileDir(filename(0, 0), env().getGrid());
+// #ifdef MF_PARALLEL_IO
+//             env().getGrid()->Barrier();
+//             // make task list for current node
+//             nodeIo_.clear();
+//             for(int f = myRank; f < nmom*ngamma; f += nRank)
+//             {
+//                 IoHelper h;
 
-                h.io = MatrixIo(filename(m, g), ioname(m, g), nt, N_i, N_j);
-                for (auto pmu: mom_[m])
-                {
-                    h.metadata.momentum.push_back(pmu);
-                }
-                h.metadata.gamma = gamma_[g];
-                h.i              = i;
-                h.j              = j;
-                h.blockSizei     = mfBlock.dimension(3);
-                h.blockSizej     = mfBlock.dimension(4);
-                h.offset         = (m*ngamma + g)*nt*h.blockSizei*h.blockSizej;
-                nodeIo_.push_back(h);
-            }
-            // parallel IO
-            for (auto &h: nodeIo_)
-            {
-                saveBlock(mfBlock.data(), h);
-            }
-            env().getGrid()->Barrier();
-#else
-            // serial IO
-            for(int m = 0; m < nmom; m++)
-            for(int g = 0; g < ngamma; g++)
-            {
-                IoHelper h;
+//                 h.i  = i;
+//                 h.j  = j;
+//                 h.m  = f/ngamma;
+//                 h.g  = f % ngamma;
+//                 h.io = A2AMatrixIo<MF_IO_TYPE>(filename(h.m, h.g), 
+//                                                ioname(h.m, h.g), nt, N_i, N_j);
+//                 for (auto pmu: mom_[h.m])
+//                 {
+//                     h.md.momentum.push_back(pmu);
+//                 }
+//                 h.md.gamma = gamma_[h.g];
+//                 nodeIo_.push_back(h);
+//             }
+//             // parallel IO
+//             for (auto &h: nodeIo_)
+//             {
+//                 saveBlock(mfBlock, h);
+//             }
+//             env().getGrid()->Barrier();
+// #else
+//             // serial IO, for testing purposes only
+//             for(int m = 0; m < nmom; m++)
+//             for(int g = 0; g < ngamma; g++)
+//             {
+//                 IoHelper h;
 
-                h.io = MatrixIo(filename(m, g), ioname(m, g), nt, N_i, N_j);
-                for (auto pmu: mom_[m])
-                {
-                    h.metadata.momentum.push_back(pmu);
-                }
-                h.metadata.gamma = gamma_[g];
-                h.i              = i;
-                h.j              = j;
-                h.blockSizei     = mfBlock.dimension(3);
-                h.blockSizej     = mfBlock.dimension(4);
-                h.offset         = (m*ngamma + g)*nt*h.blockSizei*h.blockSizej;
-                saveBlock(mfBlock.data(), h);
-            }
-#endif
-            stopTimer("IO: total");
-            blockSize  = static_cast<double>(nmom*ngamma*nt*N_ii*N_jj*sizeof(MF_IO_TYPE));
-            ioTime    += getDTimer("IO: write block");
-            LOG(Message) << "HDF5 IO done " << sizeString(blockSize) << " in "
-                         << ioTime  << " us (" 
-                         << blockSize/ioTime*1.0e6/1024/1024
-                         << " MB/s)" << std::endl;
-        }
-    }
+//                 h.i  = i;
+//                 h.j  = j;
+//                 h.m  = m;
+//                 h.g  = g;
+//                 h.io = A2AMatrixIo<MF_IO_TYPE>(filename(h.m, h.g), 
+//                                                ioname(h.m, h.g), nt, N_i, N_j);
+//                 for (auto pmu: mom_[h.m])
+//                 {
+//                     h.md.momentum.push_back(pmu);
+//                 }
+//                 h.md.gamma = gamma_[h.g];
+//                 saveBlock(mfBlock, h);
+//             }
+// #endif
+//             stopTimer("IO: total");
+//             blockSize  = static_cast<double>(nmom*ngamma*nt*N_ii*N_jj*sizeof(MF_IO_TYPE));
+//             ioTime    += getDTimer("IO: write block");
+//             LOG(Message) << "HDF5 IO done " << sizeString(blockSize) << " in "
+//                          << ioTime  << " us (" 
+//                          << blockSize/ioTime*1.0e6/1024/1024
+//                          << " MB/s)" << std::endl;
+//         }
+//     }
 }
 
 // IO
@@ -425,16 +500,16 @@ std::string TA2AMesonField<FImpl>::filename(unsigned int m, unsigned int g) cons
 }
 
 template <typename FImpl>
-void TA2AMesonField<FImpl>::saveBlock(const MF_IO_TYPE *data, IoHelper &h)
+void TA2AMesonField<FImpl>::saveBlock(const A2AMatrixSet<MF_IO_TYPE> &mf, IoHelper &h)
 {
     if ((h.i == 0) and (h.j == 0))
     {
         startTimer("IO: file creation");
-        h.io.initFile(h.metadata, par().block);
+        h.io.initFile(h.md, par().block);
         stopTimer("IO: file creation");
     }
     startTimer("IO: write block");
-    h.io.saveBlock(data + h.offset, h.i, h.j, h.blockSizei, h.blockSizej);
+    h.io.saveBlock(mf, h.m, h.g, h.i, h.j);
     stopTimer("IO: write block");
 }
 
diff --git a/Hadrons/TimerArray.cc b/Hadrons/TimerArray.cc
new file mode 100644
index 00000000..c99ed41f
--- /dev/null
+++ b/Hadrons/TimerArray.cc
@@ -0,0 +1,99 @@
+#include <Hadrons/TimerArray.hpp>
+
+using namespace Grid;
+using namespace QCD;
+using namespace Hadrons;
+
+void TimerArray::startTimer(const std::string &name)
+{
+    if (!name.empty())
+    {
+        timer_[name].Start();
+    }
+}
+
+GridTime TimerArray::getTimer(const std::string &name)
+{
+    GridTime t;
+    
+    if (!name.empty())
+    {
+        try
+        {
+            bool running = timer_.at(name).isRunning();
+
+            if (running) stopTimer(name);
+            t = timer_.at(name).Elapsed();
+            if (running) startTimer(name);
+        }
+        catch (std::out_of_range &)
+        {
+            t = GridTime::zero();
+        }
+    }
+    else
+    {
+        t = GridTime::zero();
+    }
+
+    return t;
+}
+
+double TimerArray::getDTimer(const std::string &name)
+{
+    return static_cast<double>(getTimer(name).count());
+}
+
+void TimerArray::startCurrentTimer(const std::string &name)
+{
+    if (!name.empty())
+    {
+        stopCurrentTimer();
+        startTimer(name);
+        currentTimer_ = name;
+    }
+}
+
+void TimerArray::stopTimer(const std::string &name)
+{
+    if (timer_.at(name).isRunning())
+    {
+        timer_.at(name).Stop();
+    }
+}
+
+void TimerArray::stopCurrentTimer(void)
+{
+    if (!currentTimer_.empty())
+    {
+        stopTimer(currentTimer_);
+        currentTimer_ = "";
+    }
+}
+
+void TimerArray::stopAllTimers(void)
+{
+    for (auto &t: timer_)
+    {
+        stopTimer(t.first);
+    }
+    currentTimer_ = "";
+}
+
+void TimerArray::resetTimers(void)
+{
+    timer_.clear();
+    currentTimer_ = "";
+}
+
+std::map<std::string, GridTime> TimerArray::getTimings(void)
+{
+    std::map<std::string, GridTime> timing;
+
+    for (auto &t: timer_)
+    {
+        timing[t.first] = t.second.Elapsed();
+    }
+
+    return timing;
+}
diff --git a/Hadrons/TimerArray.hpp b/Hadrons/TimerArray.hpp
new file mode 100644
index 00000000..477f11cd
--- /dev/null
+++ b/Hadrons/TimerArray.hpp
@@ -0,0 +1,29 @@
+#ifndef Hadrons_TimerArray_hpp_
+#define Hadrons_TimerArray_hpp_
+
+#include <Hadrons/Global.hpp>
+
+BEGIN_HADRONS_NAMESPACE
+
+class TimerArray
+{
+public:
+    TimerArray(void) = default;
+    virtual ~TimerArray(void) = default;
+    void                            startTimer(const std::string &name);
+    GridTime                        getTimer(const std::string &name);
+    double                          getDTimer(const std::string &name);
+    void                            startCurrentTimer(const std::string &name);
+    void                            stopTimer(const std::string &name);
+    void                            stopCurrentTimer(void);
+    void                            stopAllTimers(void);
+    void                            resetTimers(void);
+    std::map<std::string, GridTime> getTimings(void);
+private:
+    std::string                          currentTimer_;
+    std::map<std::string, GridStopWatch> timer_; 
+};
+
+END_HADRONS_NAMESPACE
+
+#endif // Hadrons_TimerArray_hpp_
diff --git a/Hadrons/modules.inc b/Hadrons/modules.inc
index 69637a68..3ddc3aa8 100644
--- a/Hadrons/modules.inc
+++ b/Hadrons/modules.inc
@@ -64,7 +64,7 @@ modules_cc =\
 modules_hpp =\
   Modules/MContraction/Baryon.hpp \
   Modules/MContraction/A2AMesonField.hpp \
-  Modules/MContraction/A2AMesonFieldKernels.hpp \
+  Modules/MContraction/A2AKernels.hpp \
   Modules/MContraction/Meson.hpp \
   Modules/MContraction/WeakHamiltonian.hpp \
   Modules/MContraction/WeakHamiltonianNonEye.hpp \

From b46d31d4b642b6ab7397d6db7b8b4473b02b1827 Mon Sep 17 00:00:00 2001
From: Peter Boyle <peterboyle@c008150.wlan.net.ed.ac.uk>
Date: Fri, 5 Oct 2018 11:29:40 +0100
Subject: [PATCH 33/39] MKL enable on Eigen if Grid is configured to use MKL

---
 Grid/Grid_Eigen_Dense.h | 5 +++++
 1 file changed, 5 insertions(+)

diff --git a/Grid/Grid_Eigen_Dense.h b/Grid/Grid_Eigen_Dense.h
index 4fb5b831..dd330dd9 100644
--- a/Grid/Grid_Eigen_Dense.h
+++ b/Grid/Grid_Eigen_Dense.h
@@ -1,4 +1,9 @@
 #pragma once
+// Force Eigen to use MKL if Grid has been configured with --enable-mkl
+#ifdef USE_MKL
+#define EIGEN_USE_MKL_ALL
+#endif
+
 #if defined __GNUC__
 #pragma GCC diagnostic push
 #pragma GCC diagnostic ignored "-Wdeprecated-declarations"

From f6593dc8813ae9aa0686b0f931b2b93c997a999a Mon Sep 17 00:00:00 2001
From: Antonin Portelli <antonin.portelli@me.com>
Date: Fri, 5 Oct 2018 15:11:01 +0100
Subject: [PATCH 34/39] Hadrons: A2A block performance counter fix

---
 Hadrons/A2AMatrix.hpp | 14 +++++++-------
 1 file changed, 7 insertions(+), 7 deletions(-)

diff --git a/Hadrons/A2AMatrix.hpp b/Hadrons/A2AMatrix.hpp
index e58ae71b..42d7b0ca 100644
--- a/Hadrons/A2AMatrix.hpp
+++ b/Hadrons/A2AMatrix.hpp
@@ -148,7 +148,7 @@ A2AMatrixBlockComputation<T, Field, MetadataType, TIo>
 
 #define START_TIMER(name) if (tArray_) tArray_->startTimer(name)
 #define STOP_TIMER(name)  if (tArray_) tArray_->stopTimer(name)
-#define GET_TIMER(name)   (tArray_ != nullptr) ? tArray_->getDTimer(name) : 0.
+#define GET_TIMER(name)   ((tArray_ != nullptr) ? tArray_->getDTimer(name) : 0.)
 
 template <typename T, typename Field, typename MetadataType, typename TIo>
 void A2AMatrixBlockComputation<T, Field, MetadataType, TIo>
@@ -190,11 +190,13 @@ void A2AMatrixBlockComputation<T, Field, MetadataType, TIo>
         A2AMatrixSet<TIo> mBlock(mBuf_.data(), next_, nstr_, nt_, N_ii, N_jj);
 
         // Series of cache blocked chunks of the contractions within this block
-        flops = 0.0;
-        bytes = 0.0;
+        flops    = 0.0;
+        bytes    = 0.0;
+        t_kernel = 0.0;
         for(int ii=0;ii<N_ii;ii+=cacheBlockSize_)
         for(int jj=0;jj<N_jj;jj+=cacheBlockSize_)
         {
+            double t;
             int N_iii = MIN(N_ii-ii,cacheBlockSize_);
             int N_jjj = MIN(N_jj-jj,cacheBlockSize_);
             A2AMatrixSet<T> mCacheBlock(mCache_.data(), next_, nstr_, nt_, N_iii, N_jjj);
@@ -202,9 +204,9 @@ void A2AMatrixBlockComputation<T, Field, MetadataType, TIo>
             // makeMesonFieldBlock(mfCacheBlock, &w[i+ii], &v[j+jj], gamma_, ph, 
             //                     env().getNd() - 1, this);
             START_TIMER("kernel");
-            kernel(mCacheBlock, &left[i+ii], &right[j+jj], orthogDim_, tot_kernel);
+            kernel(mCacheBlock, &left[i+ii], &right[j+jj], orthogDim_, t);
             STOP_TIMER("kernel");
-
+            t_kernel += t;
             // flops for general N_c & N_s
             // flops += vol * ( 2 * 8.0 + 6.0 + 8.0*nmom) * N_iii*N_jjj*ngamma;
             // bytes += vol * (12.0 * sizeof(Complex) ) * N_iii*N_jjj
@@ -227,12 +229,10 @@ void A2AMatrixBlockComputation<T, Field, MetadataType, TIo>
         // perf
         // tot_kernel = getDTimer("contraction: colour trace & mom.")
         //              + getDTimer("contraction: local space sum");
-        t_kernel   = tot_kernel - t_kernel;
         LOG(Message) << "Kernel perf " << flops/t_kernel/1.0e3/nodes 
                      << " Gflop/s/node " << std::endl;
         LOG(Message) << "Kernel perf " << bytes/t_kernel*1.0e6/1024/1024/1024/nodes 
                      << " GB/s/node "  << std::endl;
-        t_kernel = tot_kernel;
 
         // IO
         double       blockSize, ioTime;

From 9f4f8a14a317261f3e2e3c648a9303019542eb6f Mon Sep 17 00:00:00 2001
From: Antonin Portelli <antonin.portelli@me.com>
Date: Fri, 5 Oct 2018 15:38:01 +0100
Subject: [PATCH 35/39] Hadrons: code cleaning

---
 Hadrons/A2AMatrix.hpp                         | 286 +++++++++---------
 .../Modules/MContraction/A2AMesonField.hpp    | 209 +------------
 2 files changed, 156 insertions(+), 339 deletions(-)

diff --git a/Hadrons/A2AMatrix.hpp b/Hadrons/A2AMatrix.hpp
index 42d7b0ca..95133f30 100644
--- a/Hadrons/A2AMatrix.hpp
+++ b/Hadrons/A2AMatrix.hpp
@@ -41,7 +41,7 @@ See the full license in the file "LICENSE" in the top level distribution directo
 
 BEGIN_HADRONS_NAMESPACE
 
-// general A2A matrix set class based on Eigen tensors and Grid-allocated memory
+// general A2A matrix set based on Eigen tensors and Grid-allocated memory
 // Dimensions:
 //   0 - ext - external field (momentum, EM field, ...)
 //   1 - str - spin-color structure
@@ -51,26 +51,9 @@ BEGIN_HADRONS_NAMESPACE
 template <typename T>
 using A2AMatrixSet = Eigen::TensorMap<Eigen::Tensor<T, 5, Eigen::RowMajor>>;
 
-template <typename T>
-class A2AMatrixIo
-{
-public:
-    A2AMatrixIo(void) = default;
-    A2AMatrixIo(std::string filename, std::string dataname, 
-                const unsigned int nt, const unsigned int ni,
-                const unsigned int nj);
-    ~A2AMatrixIo(void) = default;
-    template <typename MetadataType>
-    void initFile(const MetadataType &d, const unsigned int chunkSize);
-    void saveBlock(const T *data, const unsigned int i, const unsigned int j,
-                   const unsigned int blockSizei, const unsigned int blockSizej);
-    void saveBlock(const A2AMatrixSet<T> &m, const unsigned int ext, const unsigned int str,
-                   const unsigned int i, const unsigned int j);
-private:
-    std::string  filename_, dataname_;
-    unsigned int nt_, ni_, nj_;
-};
-
+/******************************************************************************
+ *                      Abstract class for A2A kernels                        *
+ ******************************************************************************/
 template <typename T, typename Field>
 class A2AKernel
 {
@@ -83,6 +66,36 @@ public:
     virtual double bytes(const unsigned int blockSizei, const unsigned int blockSizej) = 0;
 };
 
+/******************************************************************************
+ *                  Class to handle A2A matrix block HDF5 I/O                 *
+ ******************************************************************************/
+template <typename T>
+class A2AMatrixIo
+{
+public:
+    // constructors
+    A2AMatrixIo(void) = default;
+    A2AMatrixIo(std::string filename, std::string dataname, 
+                const unsigned int nt, const unsigned int ni,
+                const unsigned int nj);
+    // destructor
+    ~A2AMatrixIo(void) = default;
+    // file allocation
+    template <typename MetadataType>
+    void initFile(const MetadataType &d, const unsigned int chunkSize);
+    // block I/O
+    void saveBlock(const T *data, const unsigned int i, const unsigned int j,
+                   const unsigned int blockSizei, const unsigned int blockSizej);
+    void saveBlock(const A2AMatrixSet<T> &m, const unsigned int ext, const unsigned int str,
+                   const unsigned int i, const unsigned int j);
+private:
+    std::string  filename_, dataname_;
+    unsigned int nt_, ni_, nj_;
+};
+
+/******************************************************************************
+ *                  Wrapper for A2A matrix block computation                  *
+ ******************************************************************************/
 template <typename T, typename Field, typename MetadataType, typename TIo = T>
 class A2AMatrixBlockComputation
 {
@@ -96,6 +109,7 @@ private:
     typedef std::function<std::string(const unsigned int, const unsigned int)>  FilenameFn;
     typedef std::function<MetadataType(const unsigned int, const unsigned int)> MetadataFn;
 public:
+    // constructor
     A2AMatrixBlockComputation(GridBase *grid,
                               const unsigned int orthogDim,
                               const unsigned int next,
@@ -103,6 +117,7 @@ public:
                               const unsigned int blockSize,
                               const unsigned int cacheBlockSize,
                               TimerArray *tArray = nullptr);
+    // execution
     void execute(const std::vector<Field> &left, 
                  const std::vector<Field> &right,
                  A2AKernel<T, Field> &kernel,
@@ -110,6 +125,7 @@ public:
                  const FilenameFn &filenameFn,
                  const MetadataFn &metadataFn);
 private:
+    // I/O handler
     void saveBlock(const A2AMatrixSet<TIo> &m, IoHelper &h);
 private:
     TimerArray            *tArray_;
@@ -120,6 +136,100 @@ private:
     std::vector<IoHelper> nodeIo_;
 };
 
+/******************************************************************************
+ *                     A2AMatrixIo template implementation                    *
+ ******************************************************************************/
+// constructor /////////////////////////////////////////////////////////////////
+template <typename T>
+A2AMatrixIo<T>::A2AMatrixIo(std::string filename, std::string dataname, 
+                            const unsigned int nt, const unsigned int ni,
+                            const unsigned int nj)
+: filename_(filename), dataname_(dataname)
+, nt_(nt), ni_(ni), nj_(nj)
+{}
+
+// file allocation /////////////////////////////////////////////////////////////
+template <typename T>
+template <typename MetadataType>
+void A2AMatrixIo<T>::initFile(const MetadataType &d, const unsigned int chunkSize)
+{
+#ifdef HAVE_HDF5
+    std::vector<hsize_t>    dim = {static_cast<hsize_t>(nt_), 
+                                   static_cast<hsize_t>(ni_), 
+                                   static_cast<hsize_t>(nj_)},
+                            chunk = {static_cast<hsize_t>(nt_), 
+                                     static_cast<hsize_t>(chunkSize), 
+                                     static_cast<hsize_t>(chunkSize)};
+    H5NS::DataSpace         dataspace(dim.size(), dim.data());
+    H5NS::DataSet           dataset;
+    H5NS::DSetCreatPropList plist;
+    
+    // create empty file just with metadata
+    {
+        Hdf5Writer writer(filename_);
+        write(writer, dataname_, d);
+    }
+
+    // create the dataset
+    Hdf5Reader reader(filename_);
+
+    push(reader, dataname_);
+    auto &group = reader.getGroup();
+    plist.setChunk(chunk.size(), chunk.data());
+    dataset = group.createDataSet(HADRONS_A2AM_NAME, Hdf5Type<T>::type(), dataspace, plist);
+#else
+    HADRONS_ERROR(Implementation, "all-to-all matrix I/O needs HDF5 library");
+#endif
+}
+
+// block I/O ///////////////////////////////////////////////////////////////////
+template <typename T>
+void A2AMatrixIo<T>::saveBlock(const T *data, 
+                               const unsigned int i, 
+                               const unsigned int j,
+                               const unsigned int blockSizei,
+                               const unsigned int blockSizej)
+{
+#ifdef HAVE_HDF5
+    Hdf5Reader           reader(filename_);
+    std::vector<hsize_t> count = {nt_, blockSizei, blockSizej},
+                         offset = {0, static_cast<hsize_t>(i),
+                                   static_cast<hsize_t>(j)},
+                         stride = {1, 1, 1},
+                         block  = {1, 1, 1}; 
+    H5NS::DataSpace      memspace(count.size(), count.data()), dataspace;
+    H5NS::DataSet        dataset;
+    size_t               shift;
+
+    push(reader, dataname_);
+    auto &group = reader.getGroup();
+    dataset     = group.openDataSet(HADRONS_A2AM_NAME);
+    dataspace   = dataset.getSpace();
+    dataspace.selectHyperslab(H5S_SELECT_SET, count.data(), offset.data(),
+                              stride.data(), block.data());
+    dataset.write(data, Hdf5Type<T>::type(), memspace, dataspace);
+#else
+    HADRONS_ERROR(Implementation, "all-to-all matrix I/O needs HDF5 library");
+#endif
+}
+
+template <typename T>
+void A2AMatrixIo<T>::saveBlock(const A2AMatrixSet<T> &m,
+                               const unsigned int ext, const unsigned int str,
+                               const unsigned int i, const unsigned int j)
+{
+    unsigned int blockSizei = m.dimension(3);
+    unsigned int blockSizej = m.dimension(4);
+    unsigned int nstr       = m.dimension(1);
+    size_t       offset     = (ext*nstr + str)*nt_*blockSizei*blockSizej;
+
+    saveBlock(m.data() + offset, i, j, blockSizei, blockSizej);
+}
+
+/******************************************************************************
+ *               A2AMatrixBlockComputation template implementation            *
+ ******************************************************************************/
+// constructor /////////////////////////////////////////////////////////////////
 template <typename T, typename Field, typename MetadataType, typename TIo>
 A2AMatrixBlockComputation<T, Field, MetadataType, TIo>
 ::A2AMatrixBlockComputation(GridBase *grid,
@@ -133,23 +243,15 @@ A2AMatrixBlockComputation<T, Field, MetadataType, TIo>
 , next_(next), nstr_(nstr), blockSize_(blockSize), cacheBlockSize_(cacheBlockSize)
 , tArray_(tArray)
 {
-    std::cout << nt_ << std::endl;
-    std::cout << next_ << std::endl;
-    std::cout << nstr_ << std::endl;
-    std::cout << cacheBlockSize_ << std::endl;
-    std::cout << blockSize_ << std::endl;
     mCache_.resize(nt_*next_*nstr_*cacheBlockSize_*cacheBlockSize_);
     mBuf_.resize(nt_*next_*nstr_*blockSize_*blockSize_);
-    std::cout << mCache_.size() << std::endl;
-    std::cout << mBuf_.size() << std::endl;
-    std::cout << blockSize << std::endl;
-    std::cout << cacheBlockSize << std::endl;
 }
 
 #define START_TIMER(name) if (tArray_) tArray_->startTimer(name)
 #define STOP_TIMER(name)  if (tArray_) tArray_->stopTimer(name)
 #define GET_TIMER(name)   ((tArray_ != nullptr) ? tArray_->getDTimer(name) : 0.)
 
+// execution ///////////////////////////////////////////////////////////////////
 template <typename T, typename Field, typename MetadataType, typename TIo>
 void A2AMatrixBlockComputation<T, Field, MetadataType, TIo>
 ::execute(const std::vector<Field> &left, const std::vector<Field> &right,
@@ -157,20 +259,16 @@ void A2AMatrixBlockComputation<T, Field, MetadataType, TIo>
           const FilenameFn &filenameFn, const MetadataFn &metadataFn)
 {
     //////////////////////////////////////////////////////////////////////////
-    // i,j   is first  loop over SchurBlock factors reusing 5D matrices
-    // ii,jj is second loop over cacheBlock factors for high perf contractoin
+    // i,j   is first  loop over blockSize_ factors
+    // ii,jj is second loop over cacheBlockSize_ factors for high perf contractions
     // iii,jjj are loops within cacheBlock
     // Total index is sum of these  i+ii+iii etc...
     //////////////////////////////////////////////////////////////////////////
-    int N_i        = left.size();
-    int N_j        = right.size();
-    double flops;
-    double bytes;
-    double t_kernel = 0.;
-    double nodes    = grid_->NodeCount();
-    double tot_kernel;
+    int    N_i = left.size();
+    int    N_j = right.size();
+    double flops, bytes, t_kernel;
+    double nodes = grid_->NodeCount();
     
-    double t0    = usecond();
     int NBlock_i = N_i/blockSize_ + (((N_i % blockSize_) != 0) ? 1 : 0);
     int NBlock_j = N_j/blockSize_ + (((N_j % blockSize_) != 0) ? 1 : 0);
 
@@ -180,15 +278,13 @@ void A2AMatrixBlockComputation<T, Field, MetadataType, TIo>
         // Get the W and V vectors for this block^2 set of terms
         int N_ii = MIN(N_i-i,blockSize_);
         int N_jj = MIN(N_j-j,blockSize_);
+        A2AMatrixSet<TIo> mBlock(mBuf_.data(), next_, nstr_, nt_, N_ii, N_jj);
 
         LOG(Message) << "All-to-all matrix block " 
                      << j/blockSize_ + NBlock_j*i/blockSize_ + 1 
                      << "/" << NBlock_i*NBlock_j << " [" << i <<" .. " 
                      << i+N_ii-1 << ", " << j <<" .. " << j+N_jj-1 << "]" 
                      << std::endl;
-
-        A2AMatrixSet<TIo> mBlock(mBuf_.data(), next_, nstr_, nt_, N_ii, N_jj);
-
         // Series of cache blocked chunks of the contractions within this block
         flops    = 0.0;
         bytes    = 0.0;
@@ -201,18 +297,12 @@ void A2AMatrixBlockComputation<T, Field, MetadataType, TIo>
             int N_jjj = MIN(N_jj-jj,cacheBlockSize_);
             A2AMatrixSet<T> mCacheBlock(mCache_.data(), next_, nstr_, nt_, N_iii, N_jjj);
 
-            // makeMesonFieldBlock(mfCacheBlock, &w[i+ii], &v[j+jj], gamma_, ph, 
-            //                     env().getNd() - 1, this);
             START_TIMER("kernel");
             kernel(mCacheBlock, &left[i+ii], &right[j+jj], orthogDim_, t);
             STOP_TIMER("kernel");
             t_kernel += t;
-            // flops for general N_c & N_s
-            // flops += vol * ( 2 * 8.0 + 6.0 + 8.0*nmom) * N_iii*N_jjj*ngamma;
-            // bytes += vol * (12.0 * sizeof(Complex) ) * N_iii*N_jjj
-            //          +  vol * ( 2.0 * sizeof(Complex) *nmom ) * N_iii*N_jjj* ngamma;
-            flops += kernel.flops(N_iii, N_jjj);
-            bytes += kernel.bytes(N_iii, N_jjj);
+            flops    += kernel.flops(N_iii, N_jjj);
+            bytes    += kernel.bytes(N_iii, N_jjj);
 
             START_TIMER("cache copy");
             parallel_for_nest5(int e =0;e<next_;e++)
@@ -227,8 +317,6 @@ void A2AMatrixBlockComputation<T, Field, MetadataType, TIo>
         }
 
         // perf
-        // tot_kernel = getDTimer("contraction: colour trace & mom.")
-        //              + getDTimer("contraction: local space sum");
         LOG(Message) << "Kernel perf " << flops/t_kernel/1.0e3/nodes 
                      << " Gflop/s/node " << std::endl;
         LOG(Message) << "Kernel perf " << bytes/t_kernel*1.0e6/1024/1024/1024/nodes 
@@ -236,8 +324,7 @@ void A2AMatrixBlockComputation<T, Field, MetadataType, TIo>
 
         // IO
         double       blockSize, ioTime;
-        unsigned int myRank = grid_->ThisRank(),
-                        nRank  = grid_->RankCount();
+        unsigned int myRank = grid_->ThisRank(), nRank  = grid_->RankCount();
     
         LOG(Message) << "Writing block to disk" << std::endl;
         ioTime = -GET_TIMER("IO: write block");
@@ -293,6 +380,7 @@ void A2AMatrixBlockComputation<T, Field, MetadataType, TIo>
     }
 }
 
+// I/O handler /////////////////////////////////////////////////////////////////
 template <typename T, typename Field, typename MetadataType, typename TIo>
 void A2AMatrixBlockComputation<T, Field, MetadataType, TIo>
 ::saveBlock(const A2AMatrixSet<TIo> &m, IoHelper &h)
@@ -308,91 +396,9 @@ void A2AMatrixBlockComputation<T, Field, MetadataType, TIo>
     STOP_TIMER("IO: write block");
 }
 
-template <typename T>
-A2AMatrixIo<T>::A2AMatrixIo(std::string filename, std::string dataname, 
-                            const unsigned int nt, const unsigned int ni,
-                            const unsigned int nj)
-: filename_(filename), dataname_(dataname)
-, nt_(nt), ni_(ni), nj_(nj)
-{}
-
-template <typename T>
-template <typename MetadataType>
-void A2AMatrixIo<T>::initFile(const MetadataType &d, const unsigned int chunkSize)
-{
-#ifdef HAVE_HDF5
-    std::vector<hsize_t>    dim = {static_cast<hsize_t>(nt_), 
-                                   static_cast<hsize_t>(ni_), 
-                                   static_cast<hsize_t>(nj_)},
-                            chunk = {static_cast<hsize_t>(nt_), 
-                                     static_cast<hsize_t>(chunkSize), 
-                                     static_cast<hsize_t>(chunkSize)};
-    H5NS::DataSpace         dataspace(dim.size(), dim.data());
-    H5NS::DataSet           dataset;
-    H5NS::DSetCreatPropList plist;
-    
-    // create empty file just with metadata
-    {
-        Hdf5Writer writer(filename_);
-        write(writer, dataname_, d);
-    }
-
-    // create the dataset
-    Hdf5Reader reader(filename_);
-
-    push(reader, dataname_);
-    auto &group = reader.getGroup();
-    plist.setChunk(chunk.size(), chunk.data());
-    dataset = group.createDataSet(HADRONS_A2AM_NAME, Hdf5Type<T>::type(), dataspace, plist);
-#else
-    HADRONS_ERROR(Implementation, "all-to-all matrix I/O needs HDF5 library");
-#endif
-}
-
-template <typename T>
-void A2AMatrixIo<T>::saveBlock(const T *data, 
-                               const unsigned int i, 
-                               const unsigned int j,
-                               const unsigned int blockSizei,
-                               const unsigned int blockSizej)
-{
-#ifdef HAVE_HDF5
-    Hdf5Reader           reader(filename_);
-    std::vector<hsize_t> count = {nt_, blockSizei, blockSizej},
-                         offset = {0, static_cast<hsize_t>(i),
-                                   static_cast<hsize_t>(j)},
-                         stride = {1, 1, 1},
-                         block  = {1, 1, 1}; 
-    H5NS::DataSpace      memspace(count.size(), count.data()), dataspace;
-    H5NS::DataSet        dataset;
-    size_t               shift;
-
-    push(reader, dataname_);
-    auto &group = reader.getGroup();
-    dataset     = group.openDataSet(HADRONS_A2AM_NAME);
-    dataspace   = dataset.getSpace();
-    dataspace.selectHyperslab(H5S_SELECT_SET, count.data(), offset.data(),
-                              stride.data(), block.data());
-    dataset.write(data, Hdf5Type<T>::type(), memspace, dataspace);
-#else
-    HADRONS_ERROR(Implementation, "all-to-all matrix I/O needs HDF5 library");
-#endif
-}
-
-template <typename T>
-void A2AMatrixIo<T>::saveBlock(const A2AMatrixSet<T> &m,
-                               const unsigned int ext, const unsigned int str,
-                               const unsigned int i, const unsigned int j)
-{
-    unsigned int blockSizei = m.dimension(3);
-    unsigned int blockSizej = m.dimension(4);
-    unsigned int nstr       = m.dimension(1);
-    size_t       offset     = (ext*nstr + str)*nt_*blockSizei*blockSizej;
-
-    saveBlock(m.data() + offset, i, j, blockSizei, blockSizej);
-}
-
-
+#undef START_TIMER
+#undef STOP_TIMER
+#undef GET_TIMER
 
 END_HADRONS_NAMESPACE
 
diff --git a/Hadrons/Modules/MContraction/A2AMesonField.hpp b/Hadrons/Modules/MContraction/A2AMesonField.hpp
index 4d5f7ddd..f2c19507 100644
--- a/Hadrons/Modules/MContraction/A2AMesonField.hpp
+++ b/Hadrons/Modules/MContraction/A2AMesonField.hpp
@@ -56,8 +56,8 @@ public:
     GRID_SERIALIZABLE_CLASS_MEMBERS(A2AMesonFieldPar,
                                     int, cacheBlock,
                                     int, block,
-                                    std::string, v,
-                                    std::string, w,
+                                    std::string, left,
+                                    std::string, right,
                                     std::string, output,
                                     std::string, gammas,
                                     std::vector<std::string>, mom);
@@ -140,11 +140,6 @@ public:
     virtual void setup(void);
     // execution
     virtual void execute(void);
-private:
-    // IO
-    std::string ioname(const unsigned int m, const unsigned int g) const;
-    std::string filename(const unsigned int m, const unsigned int g) const;
-    void saveBlock(const A2AMatrixSet<MF_IO_TYPE> &mf, IoHelper &h);
 private:
     bool                               hasPhase_{false};
     std::string                        momphName_;
@@ -154,7 +149,6 @@ private:
 };
 
 MODULE_REGISTER(A2AMesonField, ARG(TA2AMesonField<FIMPL>), MContraction);
-MODULE_REGISTER(ZA2AMesonField, ARG(TA2AMesonField<ZFIMPL>), MContraction);
 
 /******************************************************************************
 *                  TA2AMesonField implementation                             *
@@ -171,7 +165,7 @@ TA2AMesonField<FImpl>::TA2AMesonField(const std::string name)
 template <typename FImpl>
 std::vector<std::string> TA2AMesonField<FImpl>::getInput(void)
 {
-    std::vector<std::string> in = {par().v, par().w};
+    std::vector<std::string> in = {par().left, par().right};
 
     return in;
 }
@@ -227,7 +221,6 @@ void TA2AMesonField<FImpl>::setup(void)
         }
         mom_.push_back(p);
     }
-    
     envCache(std::vector<ComplexField>, momphName_, 1, 
              par().mom.size(), envGetGrid(ComplexField));
     envTmpLat(ComplexField, "coor");
@@ -240,19 +233,19 @@ void TA2AMesonField<FImpl>::setup(void)
 template <typename FImpl>
 void TA2AMesonField<FImpl>::execute(void)
 {
-    auto &v = envGet(std::vector<FermionField>, par().v);
-    auto &w = envGet(std::vector<FermionField>, par().w);
+    auto &left  = envGet(std::vector<FermionField>, par().left);
+    auto &right = envGet(std::vector<FermionField>, par().right);
 
     int nt         = env().getDim().back();
-    int N_i        = w.size();
-    int N_j        = v.size();
+    int N_i        = left.size();
+    int N_j        = right.size();
     int ngamma     = gamma_.size();
     int nmom       = mom_.size();
     int block      = par().block;
     int cacheBlock = par().cacheBlock;
 
     LOG(Message) << "Computing all-to-all meson fields" << std::endl;
-    LOG(Message) << "W: '" << par().w << "' V: '" << par().v << "'" << std::endl;
+    LOG(Message) << "Left: '" << par().left << "' Right: '" << par().right << "'" << std::endl;
     LOG(Message) << "Momenta:" << std::endl;
     for (auto &p: mom_)
     {
@@ -309,7 +302,7 @@ void TA2AMesonField<FImpl>::execute(void)
     auto filenameFn = [this, &ionameFn](const unsigned int m, const unsigned int g)
     {
         return par().output + "." + std::to_string(vm().getTrajectory()) 
-               + "/" + ioname(m, g) + ".h5";
+               + "/" + ionameFn(m, g) + ".h5";
     };
 
     auto metadataFn = [this](const unsigned int m, const unsigned int g)
@@ -328,189 +321,7 @@ void TA2AMesonField<FImpl>::execute(void)
     Kernel      kernel(gamma_, ph, envGetGrid(FermionField));
 
     envGetTmp(Computation, computation);
-    computation.execute(w, v, kernel, ionameFn, filenameFn, metadataFn);
-    //////////////////////////////////////////////////////////////////////////
-    // i,j   is first  loop over SchurBlock factors reusing 5D matrices
-    // ii,jj is second loop over cacheBlock factors for high perf contractoin
-    // iii,jjj are loops within cacheBlock
-    // Total index is sum of these  i+ii+iii etc...
-    //////////////////////////////////////////////////////////////////////////
-    
-//     double flops;
-//     double bytes;
-//     double vol      = env().getVolume();
-//     double t_kernel = 0.0;
-//     double nodes    = env().getGrid()->NodeCount();
-//     double tot_kernel;
-
-//     envGetTmp(Vector<MF_IO_TYPE>, mfBuf);
-//     envGetTmp(Vector<Complex>, mfCache);
-    
-//     double t0    = usecond();
-//     int NBlock_i = N_i/block + (((N_i % block) != 0) ? 1 : 0);
-//     int NBlock_j = N_j/block + (((N_j % block) != 0) ? 1 : 0);
-
-//     for(int i=0;i<N_i;i+=block)
-//     for(int j=0;j<N_j;j+=block)
-//     {
-//         // Get the W and V vectors for this block^2 set of terms
-//         int N_ii = MIN(N_i-i,block);
-//         int N_jj = MIN(N_j-j,block);
-
-//         LOG(Message) << "Meson field block " 
-//                     << j/block + NBlock_j*i/block + 1 
-//                     << "/" << NBlock_i*NBlock_j << " [" << i <<" .. " 
-//                     << i+N_ii-1 << ", " << j <<" .. " << j+N_jj-1 << "]" 
-//                     << std::endl;
-
-//         A2AMatrixSet<MF_IO_TYPE> mfBlock(mfBuf.data(),nmom,ngamma,nt,N_ii,N_jj);
-
-//         // Series of cache blocked chunks of the contractions within this block
-//         flops = 0.0;
-//         bytes = 0.0;
-//         for(int ii=0;ii<N_ii;ii+=cacheBlock)
-//         for(int jj=0;jj<N_jj;jj+=cacheBlock)
-//         {
-//             int N_iii = MIN(N_ii-ii,cacheBlock);
-//             int N_jjj = MIN(N_jj-jj,cacheBlock);
-//             A2AMatrixSet<Complex> mfCacheBlock(mfCache.data(),nmom,ngamma,nt,N_iii,N_jjj);    
-
-//             startTimer("contraction: total");
-//             makeMesonFieldBlock(mfCacheBlock, &w[i+ii], &v[j+jj], gamma_, ph, 
-//                                 env().getNd() - 1, this);
-//             stopTimer("contraction: total");
-            
-//             // flops for general N_c & N_s
-//             flops += vol * ( 2 * 8.0 + 6.0 + 8.0*nmom) * N_iii*N_jjj*ngamma;
-//             bytes += vol * (12.0 * sizeof(Complex) ) * N_iii*N_jjj
-//                      +  vol * ( 2.0 * sizeof(Complex) *nmom ) * N_iii*N_jjj* ngamma;
-
-//             startTimer("cache copy");
-//             parallel_for_nest5(int m =0;m< nmom;m++)
-//             for(int g =0;g< ngamma;g++)
-//             for(int t =0;t< nt;t++)
-//             for(int iii=0;iii< N_iii;iii++)
-//             for(int jjj=0;jjj< N_jjj;jjj++)
-//             {
-//                 mfBlock(m,g,t,ii+iii,jj+jjj) = mfCacheBlock(m,g,t,iii,jjj);
-//             }
-//             stopTimer("cache copy");
-//         }
-
-//         // perf
-//         tot_kernel = getDTimer("contraction: colour trace & mom.")
-//                      + getDTimer("contraction: local space sum");
-//         t_kernel   = tot_kernel - t_kernel;
-//         LOG(Message) << "Kernel perf " << flops/t_kernel/1.0e3/nodes 
-//                      << " Gflop/s/node " << std::endl;
-//         LOG(Message) << "Kernel perf " << bytes/t_kernel*1.0e6/1024/1024/1024/nodes 
-//                      << " GB/s/node "  << std::endl;
-//         t_kernel = tot_kernel;
-
-//         // IO
-//         if (!par().output.empty())
-//         {
-//             double       blockSize, ioTime;
-//             unsigned int myRank = env().getGrid()->ThisRank(),
-//                          nRank  = env().getGrid()->RankCount();
-        
-//             LOG(Message) << "Writing block to disk" << std::endl;
-//             ioTime = -getDTimer("IO: write block");
-//             startTimer("IO: total");
-//             makeFileDir(filename(0, 0), env().getGrid());
-// #ifdef MF_PARALLEL_IO
-//             env().getGrid()->Barrier();
-//             // make task list for current node
-//             nodeIo_.clear();
-//             for(int f = myRank; f < nmom*ngamma; f += nRank)
-//             {
-//                 IoHelper h;
-
-//                 h.i  = i;
-//                 h.j  = j;
-//                 h.m  = f/ngamma;
-//                 h.g  = f % ngamma;
-//                 h.io = A2AMatrixIo<MF_IO_TYPE>(filename(h.m, h.g), 
-//                                                ioname(h.m, h.g), nt, N_i, N_j);
-//                 for (auto pmu: mom_[h.m])
-//                 {
-//                     h.md.momentum.push_back(pmu);
-//                 }
-//                 h.md.gamma = gamma_[h.g];
-//                 nodeIo_.push_back(h);
-//             }
-//             // parallel IO
-//             for (auto &h: nodeIo_)
-//             {
-//                 saveBlock(mfBlock, h);
-//             }
-//             env().getGrid()->Barrier();
-// #else
-//             // serial IO, for testing purposes only
-//             for(int m = 0; m < nmom; m++)
-//             for(int g = 0; g < ngamma; g++)
-//             {
-//                 IoHelper h;
-
-//                 h.i  = i;
-//                 h.j  = j;
-//                 h.m  = m;
-//                 h.g  = g;
-//                 h.io = A2AMatrixIo<MF_IO_TYPE>(filename(h.m, h.g), 
-//                                                ioname(h.m, h.g), nt, N_i, N_j);
-//                 for (auto pmu: mom_[h.m])
-//                 {
-//                     h.md.momentum.push_back(pmu);
-//                 }
-//                 h.md.gamma = gamma_[h.g];
-//                 saveBlock(mfBlock, h);
-//             }
-// #endif
-//             stopTimer("IO: total");
-//             blockSize  = static_cast<double>(nmom*ngamma*nt*N_ii*N_jj*sizeof(MF_IO_TYPE));
-//             ioTime    += getDTimer("IO: write block");
-//             LOG(Message) << "HDF5 IO done " << sizeString(blockSize) << " in "
-//                          << ioTime  << " us (" 
-//                          << blockSize/ioTime*1.0e6/1024/1024
-//                          << " MB/s)" << std::endl;
-//         }
-//     }
-}
-
-// IO
-template <typename FImpl>
-std::string TA2AMesonField<FImpl>::ioname(unsigned int m, unsigned int g) const
-{
-    std::stringstream ss;
-
-    ss << gamma_[g] << "_";
-    for (unsigned int mu = 0; mu < mom_[m].size(); ++mu)
-    {
-        ss << mom_[m][mu] << ((mu == mom_[m].size() - 1) ? "" : "_");
-    }
-
-    return ss.str();
-}
-
-template <typename FImpl>
-std::string TA2AMesonField<FImpl>::filename(unsigned int m, unsigned int g) const
-{
-    return par().output + "." + std::to_string(vm().getTrajectory()) 
-           + "/" + ioname(m, g) + ".h5";
-}
-
-template <typename FImpl>
-void TA2AMesonField<FImpl>::saveBlock(const A2AMatrixSet<MF_IO_TYPE> &mf, IoHelper &h)
-{
-    if ((h.i == 0) and (h.j == 0))
-    {
-        startTimer("IO: file creation");
-        h.io.initFile(h.md, par().block);
-        stopTimer("IO: file creation");
-    }
-    startTimer("IO: write block");
-    h.io.saveBlock(mf, h.m, h.g, h.i, h.j);
-    stopTimer("IO: write block");
+    computation.execute(left, right, kernel, ionameFn, filenameFn, metadataFn);
 }
 
 END_MODULE_NAMESPACE

From 866449c8046243996f4127a37637ed50cb299938 Mon Sep 17 00:00:00 2001
From: Antonin Portelli <antonin.portelli@me.com>
Date: Fri, 5 Oct 2018 16:42:44 +0100
Subject: [PATCH 36/39] Hadrons: integration of Peter's A2Autils

---
 Grid/qcd/utils/A2Autils.h                     |  19 +-
 Hadrons/Modules.hpp                           |   1 -
 Hadrons/Modules/MContraction/A2AKernels.hpp   | 411 ------------------
 .../Modules/MContraction/A2AMesonField.hpp    |  16 +-
 Hadrons/modules.inc                           |   1 -
 5 files changed, 20 insertions(+), 428 deletions(-)
 delete mode 100644 Hadrons/Modules/MContraction/A2AKernels.hpp

diff --git a/Grid/qcd/utils/A2Autils.h b/Grid/qcd/utils/A2Autils.h
index c75f8a1c..ccdbc7b9 100644
--- a/Grid/qcd/utils/A2Autils.h
+++ b/Grid/qcd/utils/A2Autils.h
@@ -27,12 +27,13 @@ public:
 
   typedef iSpinColourMatrix<vector_type> SpinColourMatrix_v;
 
-  static void MesonField(Eigen::Tensor<ComplexD,5> &mat, 
+  template <typename TensorType> // output: rank 5 tensor, e.g. Eigen::Tensor<ComplexD, 5>
+  static void MesonField(TensorType &mat, 
 			 const FermionField *lhs_wi,
 			 const FermionField *rhs_vj,
 			 std::vector<Gamma::Algebra> gammas,
 			 const std::vector<ComplexField > &mom,
-			 int orthogdim);
+			 int orthogdim, double *t_kernel = nullptr, double *t_gsum = nullptr);
 
   static void PionFieldWVmom(Eigen::Tensor<ComplexD,4> &mat, 
 			     const FermionField *wi,
@@ -92,13 +93,14 @@ public:
 #endif
 };
 
-template<class FImpl>
-void A2Autils<FImpl>::MesonField(Eigen::Tensor<ComplexD,5> &mat, 
+template <class FImpl>
+template <typename TensorType>
+void A2Autils<FImpl>::MesonField(TensorType &mat, 
 				 const FermionField *lhs_wi,
 				 const FermionField *rhs_vj,
 				 std::vector<Gamma::Algebra> gammas,
 				 const std::vector<ComplexField > &mom,
-				 int orthogdim) 
+				 int orthogdim, double *t_kernel, double *t_gsum) 
 {
   typedef typename FImpl::SiteSpinor vobj;
 
@@ -146,6 +148,7 @@ void A2Autils<FImpl>::MesonField(Eigen::Tensor<ComplexD,5> &mat,
   int stride=grid->_slice_stride[orthogdim];
 
   // potentially wasting cores here if local time extent too small
+  if (t_kernel) *t_kernel = -usecond();
   parallel_for(int r=0;r<rd;r++){
 
     int so=r*grid->_ostride[orthogdim]; // base offset for start of plane 
@@ -212,7 +215,7 @@ void A2Autils<FImpl>::MesonField(Eigen::Tensor<ComplexD,5> &mat,
       }
     }}}
   }
-
+  if (t_kernel) *t_kernel += usecond();
   assert(mat.dimension(0) == Nmom);
   assert(mat.dimension(1) == Ngamma);
   assert(mat.dimension(2) == Nt);
@@ -256,9 +259,9 @@ void A2Autils<FImpl>::MesonField(Eigen::Tensor<ComplexD,5> &mat,
   // Vector size is 7 x 16 x 32 x 16 x 16 x sizeof(complex) = 2MB - 60MB depending on volume
   // Healthy size that should suffice
   ////////////////////////////////////////////////////////////////////
-
+  if (t_gsum) *t_gsum = -usecond();
   grid->GlobalSumVector(&mat(0,0,0,0,0),Nmom*Ngamma*Nt*Lblock*Rblock);
-
+  if (t_gsum) *t_gsum += usecond();
 }
 
 
diff --git a/Hadrons/Modules.hpp b/Hadrons/Modules.hpp
index 634d588d..67ade797 100644
--- a/Hadrons/Modules.hpp
+++ b/Hadrons/Modules.hpp
@@ -1,6 +1,5 @@
 #include <Hadrons/Modules/MContraction/Baryon.hpp>
 #include <Hadrons/Modules/MContraction/A2AMesonField.hpp>
-#include <Hadrons/Modules/MContraction/A2AKernels.hpp>
 #include <Hadrons/Modules/MContraction/Meson.hpp>
 #include <Hadrons/Modules/MContraction/WeakHamiltonian.hpp>
 #include <Hadrons/Modules/MContraction/WeakHamiltonianNonEye.hpp>
diff --git a/Hadrons/Modules/MContraction/A2AKernels.hpp b/Hadrons/Modules/MContraction/A2AKernels.hpp
deleted file mode 100644
index 44959142..00000000
--- a/Hadrons/Modules/MContraction/A2AKernels.hpp
+++ /dev/null
@@ -1,411 +0,0 @@
-/*************************************************************************************
-
-Grid physics library, www.github.com/paboyle/Grid 
-
-Source file: Hadrons/Modules/MContraction/A2AMesonFieldKernels.hpp
-
-Copyright (C) 2015-2018
-
-Author: Antonin Portelli <antonin.portelli@me.com>
-Author: Peter Boyle <paboyle@ph.ed.ac.uk>
-
-This program is free software; you can redistribute it and/or modify
-it under the terms of the GNU General Public License as published by
-the Free Software Foundation; either version 2 of the License, or
-(at your option) any later version.
-
-This program is distributed in the hope that it will be useful,
-but WITHOUT ANY WARRANTY; without even the implied warranty of
-MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
-GNU General Public License for more details.
-
-You should have received a copy of the GNU General Public License along
-with this program; if not, write to the Free Software Foundation, Inc.,
-51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
-
-See the full license in the file "LICENSE" in the top level distribution directory
-*************************************************************************************/
-/*  END LEGAL */
-#ifndef Hadrons_MContraction_A2AMesonFieldKernels_hpp_
-#define Hadrons_MContraction_A2AMesonFieldKernels_hpp_
-
-#include <Hadrons/Global.hpp>
-#include <Hadrons/Module.hpp>
-
-BEGIN_HADRONS_NAMESPACE
-
-BEGIN_MODULE_NAMESPACE(MContraction)
-
-////////////////////////////////////////////////////////////////////////////////
-// Cache blocked arithmetic routine
-// Could move to Grid ???
-////////////////////////////////////////////////////////////////////////////////
-template <typename Field, typename MesonField>
-void makeMesonFieldBlock(MesonField &mat, 
-                         const Field *lhs_wi,
-                         const Field *rhs_vj,
-                         const std::vector<Gamma::Algebra> &gamma,
-                         const std::vector<LatticeComplex> &mom,
-                         int orthogdim,
-                         double &time) 
-{
-    typedef typename Field::vector_object vobj;
-    typedef typename vobj::scalar_object  sobj;
-    typedef typename vobj::scalar_type    scalar_type;
-    typedef typename vobj::vector_type    vector_type;
-
-    typedef iSpinMatrix<vector_type> SpinMatrix_v;
-    typedef iSpinMatrix<scalar_type> SpinMatrix_s;
-    
-    TimerArray tArray;
-
-    int Lblock = mat.dimension(3); 
-    int Rblock = mat.dimension(4);
-
-    GridBase *grid = lhs_wi[0]._grid;
-    
-    const int    Nd = grid->_ndimension;
-    const int Nsimd = grid->Nsimd();
-
-    int Nt     = grid->GlobalDimensions()[orthogdim];
-    int Ngamma = gamma.size();
-    int Nmom   = mom.size();
-
-    int fd=grid->_fdimensions[orthogdim];
-    int ld=grid->_ldimensions[orthogdim];
-    int rd=grid->_rdimensions[orthogdim];
-
-    // will locally sum vectors first
-    // sum across these down to scalars
-    // splitting the SIMD
-    int MFrvol = rd*Lblock*Rblock*Nmom;
-    int MFlvol = ld*Lblock*Rblock*Nmom;
-
-    Vector<SpinMatrix_v > lvSum(MFrvol);
-    parallel_for (int r = 0; r < MFrvol; r++)
-    {
-        lvSum[r] = zero;
-    }
-
-    Vector<SpinMatrix_s > lsSum(MFlvol);             
-    parallel_for (int r = 0; r < MFlvol; r++)
-    {
-        lsSum[r]=scalar_type(0.0);
-    }
-
-    int e1=    grid->_slice_nblock[orthogdim];
-    int e2=    grid->_slice_block [orthogdim];
-    int stride=grid->_slice_stride[orthogdim];
-
-    tArray.startTimer("contraction: colour trace & mom.");
-    // Nested parallelism would be ok
-    // Wasting cores here. Test case r
-    parallel_for(int r=0;r<rd;r++)
-    {
-        int so=r*grid->_ostride[orthogdim]; // base offset for start of plane 
-
-        for(int n=0;n<e1;n++)
-        for(int b=0;b<e2;b++)
-        {
-            int ss= so+n*stride+b;
-
-            for(int i=0;i<Lblock;i++)
-            {
-                auto left = conjugate(lhs_wi[i]._odata[ss]);
-
-                for(int j=0;j<Rblock;j++)
-                {
-                    SpinMatrix_v vv;
-                    auto right = rhs_vj[j]._odata[ss];
-
-                    for(int s1=0;s1<Ns;s1++)
-                    for(int s2=0;s2<Ns;s2++)
-                    {
-                        vv()(s1,s2)() = left()(s2)(0) * right()(s1)(0)
-                                        + left()(s2)(1) * right()(s1)(1)
-                                        + left()(s2)(2) * right()(s1)(2);
-                    }
-                    
-                    // After getting the sitewise product do the mom phase loop
-                    int base = Nmom*i+Nmom*Lblock*j+Nmom*Lblock*Rblock*r;
-
-                    for ( int m=0;m<Nmom;m++)
-                    {
-                        int idx = m+base;
-                        auto phase = mom[m]._odata[ss];
-                        mac(&lvSum[idx],&vv,&phase);
-                    }
-                }
-            }
-        }
-    }
-    tArray.stopTimer("contraction: colour trace & mom.");
-
-    // Sum across simd lanes in the plane, breaking out orthog dir.
-    tArray.startTimer("contraction: local space sum");
-    parallel_for(int rt=0;rt<rd;rt++)
-    {
-        std::vector<int> icoor(Nd);
-        std::vector<SpinMatrix_s> extracted(Nsimd);               
-
-        for(int i=0;i<Lblock;i++)
-        for(int j=0;j<Rblock;j++)
-        for(int m=0;m<Nmom;m++)
-        {
-
-            int ij_rdx = m+Nmom*i+Nmom*Lblock*j+Nmom*Lblock*Rblock*rt;
-
-            extract(lvSum[ij_rdx],extracted);
-            for(int idx=0;idx<Nsimd;idx++)
-            {
-                grid->iCoorFromIindex(icoor,idx);
-
-                int ldx    = rt+icoor[orthogdim]*rd;
-                int ij_ldx = m+Nmom*i+Nmom*Lblock*j+Nmom*Lblock*Rblock*ldx;
-
-                lsSum[ij_ldx]=lsSum[ij_ldx]+extracted[idx];
-            }
-        }
-    }
-    tArray.stopTimer("contraction: local space sum");
-    time = tArray.getDTimer("contraction: colour trace & mom.")
-           + tArray.getDTimer("contraction: local space sum");
-
-    // ld loop and local only??
-    tArray.startTimer("contraction: spin trace");
-    int pd = grid->_processors[orthogdim];
-    int pc = grid->_processor_coor[orthogdim];
-    parallel_for_nest2(int lt=0;lt<ld;lt++)
-    {
-        for(int pt=0;pt<pd;pt++)
-        {
-            int t = lt + pt*ld;
-            if (pt == pc)
-            {
-                for(int i=0;i<Lblock;i++)
-                for(int j=0;j<Rblock;j++)
-                for(int m=0;m<Nmom;m++)
-                {
-                    int ij_dx = m+Nmom*i + Nmom*Lblock * j + Nmom*Lblock * Rblock * lt;
-
-                    for(int mu=0;mu<Ngamma;mu++)
-                    {
-                        // this is a bit slow
-                        mat(m,mu,t,i,j) = trace(lsSum[ij_dx]*Gamma(gamma[mu]));
-                    }
-                }
-            } 
-            else 
-            { 
-                const scalar_type zz(0.0);
-
-                for(int i=0;i<Lblock;i++)
-                for(int j=0;j<Rblock;j++)
-                for(int mu=0;mu<Ngamma;mu++)
-                for(int m=0;m<Nmom;m++)
-                {
-                    mat(m,mu,t,i,j) =zz;
-                }
-            }
-        }
-    }
-    tArray.stopTimer("contraction: spin trace");
-    ////////////////////////////////////////////////////////////////////
-    // This global sum is taking as much as 50% of time on 16 nodes
-    // Vector size is 7 x 16 x 32 x 16 x 16 x sizeof(complex) = 2MB - 60MB depending on volume
-    // Healthy size that should suffice
-    ////////////////////////////////////////////////////////////////////
-    tArray.startTimer("contraction: global sum");
-    grid->GlobalSumVector(&mat(0,0,0,0,0),Nmom*Ngamma*Nt*Lblock*Rblock);
-    tArray.stopTimer("contraction: global sum");
-}
-
-template <typename Field, typename AslashField>
-void makeAslashFieldBlock(AslashField &mat, 
-                          const Field *lhs_wi,
-                          const Field *rhs_vj,
-                          const std::vector<LatticeComplex> &emB0,
-                          const std::vector<LatticeComplex> &emB1,
-                          int orthogdim,
-                          ModuleBase *caller = nullptr) 
-{
-    typedef typename Field::vector_object vobj;
-    typedef typename vobj::scalar_object  sobj;
-    typedef typename vobj::scalar_type    scalar_type;
-    typedef typename vobj::vector_type    vector_type;
-
-    typedef iSpinMatrix<vector_type> SpinMatrix_v;
-    typedef iSpinMatrix<scalar_type> SpinMatrix_s;
-    
-    int Lblock = mat.dimension(2); 
-    int Rblock = mat.dimension(3);
-
-    GridBase *grid = lhs_wi[0]._grid;
-    
-    const int    Nd = grid->_ndimension;
-    const int Nsimd = grid->Nsimd();
-
-    int Nt  = grid->GlobalDimensions()[orthogdim];
-    int Nem = emB0.size();
-    assert(emB1.size() == Nem);
-
-    int fd=grid->_fdimensions[orthogdim];
-    int ld=grid->_ldimensions[orthogdim];
-    int rd=grid->_rdimensions[orthogdim];
-
-    // will locally sum vectors first
-    // sum across these down to scalars
-    // splitting the SIMD
-    int MFrvol = rd*Lblock*Rblock*Nem;
-    int MFlvol = ld*Lblock*Rblock*Nem;
-
-    Vector<vector_type> lvSum(MFrvol);
-    parallel_for (int r = 0; r < MFrvol; r++)
-    {
-        lvSum[r] = zero;
-    }
-
-    Vector<scalar_type> lsSum(MFlvol);             
-    parallel_for (int r = 0; r < MFlvol; r++)
-    {
-        lsSum[r] = scalar_type(0.0);
-    }
-
-    int e1=    grid->_slice_nblock[orthogdim];
-    int e2=    grid->_slice_block [orthogdim];
-    int stride=grid->_slice_stride[orthogdim];
-
-    if (caller) caller->startTimer("contraction: colour trace & Aslash mul");
-    // Nested parallelism would be ok
-    // Wasting cores here. Test case r
-    parallel_for(int r=0;r<rd;r++)
-    {
-        int so=r*grid->_ostride[orthogdim]; // base offset for start of plane 
-
-        for(int n=0;n<e1;n++)
-        for(int b=0;b<e2;b++)
-        {
-            int ss= so+n*stride+b;
-
-            for(int i=0;i<Lblock;i++)
-            {
-                auto left = conjugate(lhs_wi[i]._odata[ss]);
-
-                for(int j=0;j<Rblock;j++)
-                {
-                    SpinMatrix_v vv;
-                    auto right = rhs_vj[j]._odata[ss];
-
-                    for(int s1=0;s1<Ns;s1++)
-                    for(int s2=0;s2<Ns;s2++)
-                    {
-                        vv()(s1,s2)() = left()(s2)(0) * right()(s1)(0)
-                                        + left()(s2)(1) * right()(s1)(1)
-                                        + left()(s2)(2) * right()(s1)(2);
-                    }
-                    
-                    // After getting the sitewise product do the mom phase loop
-                    int base = Nem*i+Nem*Lblock*j+Nem*Lblock*Rblock*r;
-
-                    for ( int m=0;m<Nem;m++)
-                    {
-                        int idx  = m+base;
-                        auto b0  = emB0[m]._odata[ss];
-                        auto b1  = emB1[m]._odata[ss];
-                        auto cb0 = conjugate(b0);
-                        auto cb1 = conjugate(b1);
-
-                        // B_0 = A_1 + i A_0
-                        // B_1 = A_3 + i A_2
-                        // 
-                        // then in spin space
-                        // 
-                        //             ( 0          0         B_1 -conj(B_0) )
-                        // A_mu g_mu = ( 0          0         B_0  conj(B_1) )
-                        //             ( conj(B_1)  conj(B_0) 0    0         )
-                        //             ( -B_0       B_1       0    0         )
-
-                        lvSum[idx] +=   vv()(0,2)()*b1  - vv()(0,3)()*cb0
-                                        + vv()(1,2)()*b0  + vv()(1,3)()*cb1
-                                        + vv()(2,0)()*cb1 + vv()(2,1)()*cb0 
-                                        - vv()(3,0)()*b0  + vv()(3,1)()*b1;
-                    }
-                }
-            }
-        }
-    }
-    if (caller) caller->stopTimer("contraction: colour trace & Aslash mul");
-
-    // Sum across simd lanes in the plane, breaking out orthog dir.
-    if (caller) caller->startTimer("contraction: local space sum");
-    parallel_for(int rt=0;rt<rd;rt++)
-    {
-        std::vector<int> icoor(Nd);
-        std::vector<scalar_type> extracted(Nsimd);               
-
-        for(int i=0;i<Lblock;i++)
-        for(int j=0;j<Rblock;j++)
-        for(int m=0;m<Nem;m++)
-        {
-
-            int ij_rdx = m+Nem*i+Nem*Lblock*j+Nem*Lblock*Rblock*rt;
-
-            extract(lvSum[ij_rdx],extracted);
-            for(int idx=0;idx<Nsimd;idx++)
-            {
-                grid->iCoorFromIindex(icoor,idx);
-
-                int ldx    = rt+icoor[orthogdim]*rd;
-                int ij_ldx = m+Nem*i+Nem*Lblock*j+Nem*Lblock*Rblock*ldx;
-
-                lsSum[ij_ldx]=lsSum[ij_ldx]+extracted[idx];
-            }
-        }
-    }
-    if (caller) caller->stopTimer("contraction: local space sum");
-
-    // ld loop and local only??
-    if (caller) caller->startTimer("contraction: tensor store");
-    int pd = grid->_processors[orthogdim];
-    int pc = grid->_processor_coor[orthogdim];
-    parallel_for_nest2(int lt=0;lt<ld;lt++)
-    {
-        for(int pt=0;pt<pd;pt++)
-        {
-            int t = lt + pt*ld;
-            if (pt == pc)
-            {
-                for(int i=0;i<Lblock;i++)
-                for(int j=0;j<Rblock;j++)
-                for(int m=0;m<Nem;m++)
-                {
-                    int ij_dx = m+Nem*i + Nem*Lblock * j + Nem*Lblock * Rblock * lt;
-
-                    mat(m,t,i,j) = lsSum[ij_dx];
-                }
-            } 
-            else 
-            { 
-                const scalar_type zz(0.0);
-
-                for(int i=0;i<Lblock;i++)
-                for(int j=0;j<Rblock;j++)
-                for(int m=0;m<Nem;m++)
-                {
-                    mat(m,t,i,j) = zz;
-                }
-            }
-        }
-    }
-    if (caller) caller->stopTimer("contraction: tensor store");
-
-    if (caller) caller->startTimer("contraction: global sum");
-    grid->GlobalSumVector(&mat(0,0,0,0),Nem*Nt*Lblock*Rblock);
-    if (caller) caller->stopTimer("contraction: global sum");
-}
-
-END_MODULE_NAMESPACE
-
-END_HADRONS_NAMESPACE
-
-#endif //Hadrons_MContraction_A2AMesonField_hpp_
diff --git a/Hadrons/Modules/MContraction/A2AMesonField.hpp b/Hadrons/Modules/MContraction/A2AMesonField.hpp
index f2c19507..c555fc41 100644
--- a/Hadrons/Modules/MContraction/A2AMesonField.hpp
+++ b/Hadrons/Modules/MContraction/A2AMesonField.hpp
@@ -36,7 +36,6 @@ See the full license in the file "LICENSE" in the top level distribution directo
 #include <Hadrons/A2AVectors.hpp>
 #include <Hadrons/A2AMatrix.hpp>
 #include <Hadrons/Modules/MSolver/A2AVectors.hpp>
-#include <Hadrons/Modules/MContraction/A2AKernels.hpp>
 
 #define MF_PARALLEL_IO
 #ifndef MF_IO_TYPE
@@ -71,9 +70,11 @@ public:
                                     Gamma::Algebra, gamma);
 };
 
-template <typename T, typename Field>
-class MesonFieldKernel: public A2AKernel<T, Field>
+template <typename T, typename FImpl>
+class MesonFieldKernel: public A2AKernel<T, typename FImpl::FermionField>
 {
+public:
+    typedef typename FImpl::FermionField FermionField;
 public:
     MesonFieldKernel(const std::vector<Gamma::Algebra> &gamma,
                      const std::vector<LatticeComplex> &mom,
@@ -88,10 +89,11 @@ public:
     }
 
     virtual ~MesonFieldKernel(void) = default;
-    virtual void operator()(A2AMatrixSet<T> &m, const Field *left, const Field *right,
-                          const unsigned int orthogDim, double &time)
+    virtual void operator()(A2AMatrixSet<T> &m, const FermionField *left, 
+                            const FermionField *right,
+                            const unsigned int orthogDim, double &t)
     {
-        makeMesonFieldBlock(m, left, right, gamma_, mom_, orthogDim, time);
+        A2Autils<FImpl>::MesonField(m, left, right, gamma_, mom_, orthogDim, &t);
     }
 
     virtual double flops(const unsigned int blockSizei, const unsigned int blockSizej)
@@ -121,7 +123,7 @@ public:
                                       FermionField, 
                                       A2AMesonFieldMetadata, 
                                       MF_IO_TYPE> Computation;
-    typedef MesonFieldKernel<Complex, FermionField> Kernel;
+    typedef MesonFieldKernel<Complex, FImpl> Kernel;
     struct IoHelper
     {
         A2AMatrixIo<MF_IO_TYPE> io;
diff --git a/Hadrons/modules.inc b/Hadrons/modules.inc
index 3ddc3aa8..0e6ef893 100644
--- a/Hadrons/modules.inc
+++ b/Hadrons/modules.inc
@@ -64,7 +64,6 @@ modules_cc =\
 modules_hpp =\
   Modules/MContraction/Baryon.hpp \
   Modules/MContraction/A2AMesonField.hpp \
-  Modules/MContraction/A2AKernels.hpp \
   Modules/MContraction/Meson.hpp \
   Modules/MContraction/WeakHamiltonian.hpp \
   Modules/MContraction/WeakHamiltonianNonEye.hpp \

From 78299daaac83d4915c7559ec94f2524c39f4311c Mon Sep 17 00:00:00 2001
From: Antonin Portelli <antonin.portelli@me.com>
Date: Fri, 5 Oct 2018 16:47:52 +0100
Subject: [PATCH 37/39] Hadrons: code cleaning

---
 Hadrons/Modules/MContraction/A2AMesonField.cc  | 1 -
 Hadrons/Modules/MContraction/A2AMesonField.hpp | 3 ---
 2 files changed, 4 deletions(-)

diff --git a/Hadrons/Modules/MContraction/A2AMesonField.cc b/Hadrons/Modules/MContraction/A2AMesonField.cc
index 2adadae2..c71f8ef2 100644
--- a/Hadrons/Modules/MContraction/A2AMesonField.cc
+++ b/Hadrons/Modules/MContraction/A2AMesonField.cc
@@ -33,4 +33,3 @@ using namespace Hadrons;
 using namespace MContraction;
 
 template class Grid::Hadrons::MContraction::TA2AMesonField<FIMPL>;
-template class Grid::Hadrons::MContraction::TA2AMesonField<ZFIMPL>;
diff --git a/Hadrons/Modules/MContraction/A2AMesonField.hpp b/Hadrons/Modules/MContraction/A2AMesonField.hpp
index c555fc41..70f66fef 100644
--- a/Hadrons/Modules/MContraction/A2AMesonField.hpp
+++ b/Hadrons/Modules/MContraction/A2AMesonField.hpp
@@ -33,9 +33,7 @@ See the full license in the file "LICENSE" in the top level distribution directo
 #include <Hadrons/Global.hpp>
 #include <Hadrons/Module.hpp>
 #include <Hadrons/ModuleFactory.hpp>
-#include <Hadrons/A2AVectors.hpp>
 #include <Hadrons/A2AMatrix.hpp>
-#include <Hadrons/Modules/MSolver/A2AVectors.hpp>
 
 #define MF_PARALLEL_IO
 #ifndef MF_IO_TYPE
@@ -118,7 +116,6 @@ class TA2AMesonField : public Module<A2AMesonFieldPar>
 {
 public:
     FERM_TYPE_ALIASES(FImpl,);
-    SOLVER_TYPE_ALIASES(FImpl,);
     typedef A2AMatrixBlockComputation<Complex, 
                                       FermionField, 
                                       A2AMesonFieldMetadata, 

From c073341a1049b86ae43a1ba9a4128f1e9f888648 Mon Sep 17 00:00:00 2001
From: Antonin Portelli <antonin.portelli@me.com>
Date: Fri, 5 Oct 2018 19:50:41 +0100
Subject: [PATCH 38/39] Hadrons: more cleaning

---
 Hadrons/Modules/MContraction/A2AMesonField.hpp | 11 -----------
 1 file changed, 11 deletions(-)

diff --git a/Hadrons/Modules/MContraction/A2AMesonField.hpp b/Hadrons/Modules/MContraction/A2AMesonField.hpp
index 70f66fef..28759b26 100644
--- a/Hadrons/Modules/MContraction/A2AMesonField.hpp
+++ b/Hadrons/Modules/MContraction/A2AMesonField.hpp
@@ -35,7 +35,6 @@ See the full license in the file "LICENSE" in the top level distribution directo
 #include <Hadrons/ModuleFactory.hpp>
 #include <Hadrons/A2AMatrix.hpp>
 
-#define MF_PARALLEL_IO
 #ifndef MF_IO_TYPE
 #define MF_IO_TYPE ComplexF
 #endif
@@ -121,12 +120,6 @@ public:
                                       A2AMesonFieldMetadata, 
                                       MF_IO_TYPE> Computation;
     typedef MesonFieldKernel<Complex, FImpl> Kernel;
-    struct IoHelper
-    {
-        A2AMatrixIo<MF_IO_TYPE> io;
-        A2AMesonFieldMetadata   md;
-        unsigned int            m, g, i, j;
-    };
 public:
     // constructor
     TA2AMesonField(const std::string name);
@@ -144,7 +137,6 @@ private:
     std::string                        momphName_;
     std::vector<Gamma::Algebra>        gamma_;
     std::vector<std::vector<Real>>     mom_;
-    std::vector<IoHelper>              nodeIo_;
 };
 
 MODULE_REGISTER(A2AMesonField, ARG(TA2AMesonField<FIMPL>), MContraction);
@@ -259,9 +251,6 @@ void TA2AMesonField<FImpl>::execute(void)
                  << " (filesize " << sizeString(nt*N_i*N_j*sizeof(MF_IO_TYPE)) 
                  << "/momentum/bilinear)" << std::endl;
 
-    ///////////////////////////////////////////////
-    // Momentum setup
-    ///////////////////////////////////////////////
     auto &ph = envGet(std::vector<ComplexField>, momphName_);
 
     if (!hasPhase_)

From 148fc052bd57696d210e061790fee80940bd2668 Mon Sep 17 00:00:00 2001
From: Antonin Portelli <antonin.portelli@me.com>
Date: Fri, 5 Oct 2018 21:04:10 +0100
Subject: [PATCH 39/39] Hadrons: Aslash field, tested

---
 Grid/qcd/utils/A2Autils.h                     | 191 +++++++++++++++
 Hadrons/Modules.hpp                           |   1 +
 .../Modules/MContraction/A2AAslashField.cc    |   7 +
 .../Modules/MContraction/A2AAslashField.hpp   | 223 ++++++++++++++++++
 Hadrons/modules.inc                           |   2 +
 5 files changed, 424 insertions(+)
 create mode 100644 Hadrons/Modules/MContraction/A2AAslashField.cc
 create mode 100644 Hadrons/Modules/MContraction/A2AAslashField.hpp

diff --git a/Grid/qcd/utils/A2Autils.h b/Grid/qcd/utils/A2Autils.h
index ccdbc7b9..89b4d4bd 100644
--- a/Grid/qcd/utils/A2Autils.h
+++ b/Grid/qcd/utils/A2Autils.h
@@ -60,6 +60,14 @@ public:
 			  const FermionField *vj,
 			  int orthogdim);
 
+  template <typename TensorType> // output: rank 5 tensor, e.g. Eigen::Tensor<ComplexD, 5>
+  static void AslashField(TensorType &mat, 
+        const FermionField *lhs_wi,
+        const FermionField *rhs_vj,
+        const std::vector<ComplexField> &emB0,
+        const std::vector<ComplexField> &emB1,
+        int orthogdim, double *t_kernel = nullptr, double *t_gsum = nullptr);
+
   static void ContractWWVV(std::vector<PropagatorField> &WWVV,
 			   const Eigen::Tensor<ComplexD,3> &WW_sd,
 			   const FermionField *vs,
@@ -617,6 +625,189 @@ void A2Autils<FImpl>::PionFieldVV(Eigen::Tensor<ComplexD,3> &mat,
   PionFieldXX(mat,vi,vj,orthogdim,nog5);
 }
 
+// "A-slash" field w_i(x)^dag * i * A_mu * gamma_mu * v_j(x)
+//
+// With:
+//
+// B_0 = A_0 + i A_1
+// B_1 = A_2 + i A_3
+// 
+// then in spin space
+// 
+//                 ( 0          0          -conj(B_1) -B_0 )
+// i * A_mu g_mu = ( 0          0          -conj(B_0)  B_1 )
+//                 ( B_1        B_0        0          0    )
+//                 ( conj(B_0)  -conj(B_1) 0          0    )
+template <class FImpl>
+template <typename TensorType>
+void A2Autils<FImpl>::AslashField(TensorType &mat, 
+          const FermionField *lhs_wi,
+          const FermionField *rhs_vj,
+          const std::vector<ComplexField> &emB0,
+          const std::vector<ComplexField> &emB1,
+          int orthogdim, double *t_kernel, double *t_gsum) 
+{
+    typedef typename FermionField::vector_object vobj;
+    typedef typename vobj::scalar_object         sobj;
+    typedef typename vobj::scalar_type           scalar_type;
+    typedef typename vobj::vector_type           vector_type;
+
+    typedef iSpinMatrix<vector_type> SpinMatrix_v;
+    typedef iSpinMatrix<scalar_type> SpinMatrix_s;
+    typedef iSinglet<vector_type>    Singlet_v;
+    typedef iSinglet<scalar_type>    Singlet_s;
+    
+    int Lblock = mat.dimension(3); 
+    int Rblock = mat.dimension(4);
+
+    GridBase *grid = lhs_wi[0]._grid;
+    
+    const int    Nd = grid->_ndimension;
+    const int Nsimd = grid->Nsimd();
+
+    int Nt  = grid->GlobalDimensions()[orthogdim];
+    int Nem = emB0.size();
+    assert(emB1.size() == Nem);
+
+    int fd=grid->_fdimensions[orthogdim];
+    int ld=grid->_ldimensions[orthogdim];
+    int rd=grid->_rdimensions[orthogdim];
+
+    // will locally sum vectors first
+    // sum across these down to scalars
+    // splitting the SIMD
+    int MFrvol = rd*Lblock*Rblock*Nem;
+    int MFlvol = ld*Lblock*Rblock*Nem;
+
+    Vector<vector_type> lvSum(MFrvol);
+    parallel_for (int r = 0; r < MFrvol; r++)
+    {
+        lvSum[r] = zero;
+    }
+
+    Vector<scalar_type> lsSum(MFlvol);             
+    parallel_for (int r = 0; r < MFlvol; r++)
+    {
+        lsSum[r] = scalar_type(0.0);
+    }
+
+    int e1=    grid->_slice_nblock[orthogdim];
+    int e2=    grid->_slice_block [orthogdim];
+    int stride=grid->_slice_stride[orthogdim];
+
+    // Nested parallelism would be ok
+    // Wasting cores here. Test case r
+    if (t_kernel) *t_kernel = -usecond();
+    parallel_for(int r=0;r<rd;r++)
+    {
+        int so=r*grid->_ostride[orthogdim]; // base offset for start of plane 
+
+        for(int n=0;n<e1;n++)
+        for(int b=0;b<e2;b++)
+        {
+            int ss= so+n*stride+b;
+
+            for(int i=0;i<Lblock;i++)
+            {
+                auto left = conjugate(lhs_wi[i]._odata[ss]);
+
+                for(int j=0;j<Rblock;j++)
+                {
+                    SpinMatrix_v vv;
+                    auto right = rhs_vj[j]._odata[ss];
+
+                    for(int s1=0;s1<Ns;s1++)
+                    for(int s2=0;s2<Ns;s2++)
+                    {
+                        vv()(s1,s2)() = left()(s2)(0) * right()(s1)(0)
+                                        + left()(s2)(1) * right()(s1)(1)
+                                        + left()(s2)(2) * right()(s1)(2);
+                    }
+                    
+                    // After getting the sitewise product do the mom phase loop
+                    int base = Nem*i+Nem*Lblock*j+Nem*Lblock*Rblock*r;
+
+                    for ( int m=0;m<Nem;m++)
+                    {
+                        int idx  = m+base;
+                        auto b0  = emB0[m]._odata[ss];
+                        auto b1  = emB1[m]._odata[ss];
+                        auto cb0 = conjugate(b0);
+                        auto cb1 = conjugate(b1);
+
+                        lvSum[idx] += - vv()(3,0)()*b0()()()  - vv()(2,0)()*cb1()()()
+                                      + vv()(3,1)()*b1()()()  - vv()(2,1)()*cb0()()()
+                                      + vv()(0,2)()*b1()()()  + vv()(1,2)()*b0()()()
+                                      + vv()(0,3)()*cb0()()() - vv()(1,3)()*cb1()()();
+                    }
+                }
+            }
+        }
+    }
+
+    // Sum across simd lanes in the plane, breaking out orthog dir.
+    parallel_for(int rt=0;rt<rd;rt++)
+    {
+        std::vector<int> icoor(Nd);
+        std::vector<scalar_type> extracted(Nsimd);               
+
+        for(int i=0;i<Lblock;i++)
+        for(int j=0;j<Rblock;j++)
+        for(int m=0;m<Nem;m++)
+        {
+
+            int ij_rdx = m+Nem*i+Nem*Lblock*j+Nem*Lblock*Rblock*rt;
+
+            extract<vector_type,scalar_type>(lvSum[ij_rdx],extracted);
+            for(int idx=0;idx<Nsimd;idx++)
+            {
+                grid->iCoorFromIindex(icoor,idx);
+
+                int ldx    = rt+icoor[orthogdim]*rd;
+                int ij_ldx = m+Nem*i+Nem*Lblock*j+Nem*Lblock*Rblock*ldx;
+
+                lsSum[ij_ldx]=lsSum[ij_ldx]+extracted[idx];
+            }
+        }
+    }
+    if (t_kernel) *t_kernel += usecond();
+
+    // ld loop and local only??
+    int pd = grid->_processors[orthogdim];
+    int pc = grid->_processor_coor[orthogdim];
+    parallel_for_nest2(int lt=0;lt<ld;lt++)
+    {
+        for(int pt=0;pt<pd;pt++)
+        {
+            int t = lt + pt*ld;
+            if (pt == pc)
+            {
+                for(int i=0;i<Lblock;i++)
+                for(int j=0;j<Rblock;j++)
+                for(int m=0;m<Nem;m++)
+                {
+                    int ij_dx = m+Nem*i + Nem*Lblock * j + Nem*Lblock * Rblock * lt;
+
+                    mat(m,0,t,i,j) = lsSum[ij_dx];
+                }
+            } 
+            else 
+            { 
+                const scalar_type zz(0.0);
+
+                for(int i=0;i<Lblock;i++)
+                for(int j=0;j<Rblock;j++)
+                for(int m=0;m<Nem;m++)
+                {
+                    mat(m,0,t,i,j) = zz;
+                }
+            }
+        }
+    }
+    if (t_gsum) *t_gsum = -usecond();
+    grid->GlobalSumVector(&mat(0,0,0,0,0),Nem*Nt*Lblock*Rblock);
+    if (t_gsum) *t_gsum += usecond();
+}
 
 ////////////////////////////////////////////
 // Schematic thoughts about more generalised four quark insertion
diff --git a/Hadrons/Modules.hpp b/Hadrons/Modules.hpp
index 67ade797..2859f0fc 100644
--- a/Hadrons/Modules.hpp
+++ b/Hadrons/Modules.hpp
@@ -1,4 +1,5 @@
 #include <Hadrons/Modules/MContraction/Baryon.hpp>
+#include <Hadrons/Modules/MContraction/A2AAslashField.hpp>
 #include <Hadrons/Modules/MContraction/A2AMesonField.hpp>
 #include <Hadrons/Modules/MContraction/Meson.hpp>
 #include <Hadrons/Modules/MContraction/WeakHamiltonian.hpp>
diff --git a/Hadrons/Modules/MContraction/A2AAslashField.cc b/Hadrons/Modules/MContraction/A2AAslashField.cc
new file mode 100644
index 00000000..eb76932e
--- /dev/null
+++ b/Hadrons/Modules/MContraction/A2AAslashField.cc
@@ -0,0 +1,7 @@
+#include <Hadrons/Modules/MContraction/A2AAslashField.hpp>
+
+using namespace Grid;
+using namespace Hadrons;
+using namespace MContraction;
+
+template class Grid::Hadrons::MContraction::TA2AAslashField<FIMPL, PhotonR>;
diff --git a/Hadrons/Modules/MContraction/A2AAslashField.hpp b/Hadrons/Modules/MContraction/A2AAslashField.hpp
new file mode 100644
index 00000000..792ff6ee
--- /dev/null
+++ b/Hadrons/Modules/MContraction/A2AAslashField.hpp
@@ -0,0 +1,223 @@
+#ifndef Hadrons_MContraction_A2AAslashField_hpp_
+#define Hadrons_MContraction_A2AAslashField_hpp_
+
+#include <Hadrons/Global.hpp>
+#include <Hadrons/Module.hpp>
+#include <Hadrons/ModuleFactory.hpp>
+#include <Hadrons/A2AMatrix.hpp>
+
+#ifndef ASF_IO_TYPE
+#define ASF_IO_TYPE ComplexF
+#endif
+
+BEGIN_HADRONS_NAMESPACE
+
+/******************************************************************************
+ *                         A2AAslashField                                 *
+ ******************************************************************************/
+BEGIN_MODULE_NAMESPACE(MContraction)
+
+class A2AAslashFieldPar: Serializable
+{
+public:
+    GRID_SERIALIZABLE_CLASS_MEMBERS(A2AAslashFieldPar,
+                                    int, cacheBlock,
+                                    int, block,
+                                    std::string, left,
+                                    std::string, right,
+                                    std::string, output,
+                                    std::vector<std::string>, emField);
+};
+
+class A2AAslashFieldMetadata: Serializable
+{
+public:
+    GRID_SERIALIZABLE_CLASS_MEMBERS(A2AAslashFieldMetadata,
+                                    std::string, emFieldName);
+};
+
+template <typename T, typename FImpl>
+class AslashFieldKernel: public A2AKernel<T, typename FImpl::FermionField>
+{
+public:
+    typedef typename FImpl::FermionField FermionField;
+public:
+    AslashFieldKernel(const std::vector<LatticeComplex> &emB0,
+                      const std::vector<LatticeComplex> &emB1,
+                      GridBase *grid)
+    : emB0_(emB0), emB1_(emB1), grid_(grid)
+    {
+        vol_ = 1.;
+        for (auto &d: grid_->GlobalDimensions())
+        {
+            vol_ *= d;
+        }
+    }
+
+    virtual ~AslashFieldKernel(void) = default;
+    virtual void operator()(A2AMatrixSet<T> &m, const FermionField *left, 
+                            const FermionField *right,
+                            const unsigned int orthogDim, double &t)
+    {
+        A2Autils<FImpl>::AslashField(m, left, right, emB0_, emB1_, orthogDim, &t);
+    }
+
+    virtual double flops(const unsigned int blockSizei, const unsigned int blockSizej)
+    {
+        return 0.;
+    }
+
+    virtual double bytes(const unsigned int blockSizei, const unsigned int blockSizej)
+    {
+        return 0.;
+    }
+private:
+    const std::vector<LatticeComplex> &emB0_, &emB1_;
+    GridBase                          *grid_;
+    double                            vol_;
+};
+
+template <typename FImpl, typename PhotonImpl>
+class TA2AAslashField: public Module<A2AAslashFieldPar>
+{
+public:
+    FERM_TYPE_ALIASES(FImpl,);
+    typedef typename PhotonImpl::GaugeField EmField;
+    typedef A2AMatrixBlockComputation<Complex, 
+                                      FermionField, 
+                                      A2AAslashFieldMetadata, 
+                                      ASF_IO_TYPE> Computation;
+    typedef AslashFieldKernel<Complex, FImpl> Kernel;
+public:
+    // constructor
+    TA2AAslashField(const std::string name);
+    // destructor
+    virtual ~TA2AAslashField(void) {};
+    // dependency relation
+    virtual std::vector<std::string> getInput(void);
+    virtual std::vector<std::string> getOutput(void);
+    // setup
+    virtual void setup(void);
+    // execution
+    virtual void execute(void);
+};
+
+MODULE_REGISTER_TMP(A2AAslashField, ARG(TA2AAslashField<FIMPL, PhotonR>), MContraction);
+
+/******************************************************************************
+ *                 TA2AAslashField implementation                             *
+ ******************************************************************************/
+// constructor /////////////////////////////////////////////////////////////////
+template <typename FImpl, typename PhotonImpl>
+TA2AAslashField<FImpl, PhotonImpl>::TA2AAslashField(const std::string name)
+: Module<A2AAslashFieldPar>(name)
+{}
+
+// dependencies/products ///////////////////////////////////////////////////////
+template <typename FImpl, typename PhotonImpl>
+std::vector<std::string> TA2AAslashField<FImpl, PhotonImpl>::getInput(void)
+{
+    std::vector<std::string> in = par().emField;
+    
+    in.push_back(par().left);
+    in.push_back(par().right);
+
+    return in;
+}
+
+template <typename FImpl, typename PhotonImpl>
+std::vector<std::string> TA2AAslashField<FImpl, PhotonImpl>::getOutput(void)
+{
+    std::vector<std::string> out = {};
+    
+    return out;
+}
+
+// setup ///////////////////////////////////////////////////////////////////////
+template <typename FImpl, typename PhotonImpl>
+void TA2AAslashField<FImpl, PhotonImpl>::setup(void)
+{
+    envTmp(Computation, "computation", 1, envGetGrid(FermionField), 
+           env().getNd() - 1, par().emField.size(), 1, par().block, 
+           par().cacheBlock, this);
+    envTmp(std::vector<ComplexField>, "B0", 1, 
+           par().emField.size(), envGetGrid(ComplexField));
+    envTmp(std::vector<ComplexField>, "B1", 1, 
+           par().emField.size(), envGetGrid(ComplexField));
+    envTmpLat(ComplexField, "Amu");
+}
+
+// execution ///////////////////////////////////////////////////////////////////
+template <typename FImpl, typename PhotonImpl>
+void TA2AAslashField<FImpl, PhotonImpl>::execute(void)
+{
+    auto &left  = envGet(std::vector<FermionField>, par().left);
+    auto &right = envGet(std::vector<FermionField>, par().right);
+
+    int nt         = env().getDim().back();
+    int N_i        = left.size();
+    int N_j        = right.size();
+    int nem        = par().emField.size();
+    int block      = par().block;
+    int cacheBlock = par().cacheBlock;
+
+    LOG(Message) << "Computing all-to-all A-slash fields" << std::endl;
+    LOG(Message) << "Left: '" << par().left << "' Right: '" << par().right << "'" << std::endl;
+    LOG(Message) << "EM fields:" << std::endl;
+    for (auto &name: par().emField)
+    {
+        LOG(Message) << "  " << name << std::endl;
+    }
+    LOG(Message) << "A-slash field size: " << nt << "*" << N_i << "*" << N_j 
+                 << " (filesize " << sizeString(nt*N_i*N_j*sizeof(ASF_IO_TYPE)) 
+                 << "/EM field)" << std::endl;
+    
+    // preparing "B" complexified fields
+    startTimer("Complexify EM fields");
+    envGetTmp(std::vector<ComplexField>, B0);
+    envGetTmp(std::vector<ComplexField>, B1);
+    for (unsigned int i = 0; i < par().emField.size(); ++i)
+    {
+        auto &A = envGet(EmField, par().emField[i]);
+        envGetTmp(ComplexField, Amu);
+
+        B0[i]  = peekLorentz(A, 0);
+        B0[i] += timesI(peekLorentz(A, 1));
+        B1[i]  = peekLorentz(A, 2);
+        B1[i] += timesI(peekLorentz(A, 3));
+    }
+    stopTimer("Complexify EM fields");
+
+    // I/O name & metadata lambdas
+    auto ionameFn = [this](const unsigned int em, const unsigned int dummy)
+    {
+        return par().emField[em];
+    };
+
+    auto filenameFn = [this, &ionameFn](const unsigned int em, const unsigned int dummy)
+    {
+        return par().output + "." + std::to_string(vm().getTrajectory()) 
+               + "/" + ionameFn(em, dummy) + ".h5";
+    };
+
+    auto metadataFn = [this](const unsigned int em, const unsigned int dummy)
+    {
+        A2AAslashFieldMetadata md;
+
+        md.emFieldName = par().emField[em];
+        
+        return md;
+    };
+
+    // executing computation
+    Kernel kernel(B0, B1, envGetGrid(FermionField));
+
+    envGetTmp(Computation, computation);
+    computation.execute(left, right, kernel, ionameFn, filenameFn, metadataFn);
+}
+
+END_MODULE_NAMESPACE
+
+END_HADRONS_NAMESPACE
+
+#endif // Hadrons_MContraction_A2AAslashField_hpp_
diff --git a/Hadrons/modules.inc b/Hadrons/modules.inc
index 0e6ef893..866dfd91 100644
--- a/Hadrons/modules.inc
+++ b/Hadrons/modules.inc
@@ -4,6 +4,7 @@ modules_cc =\
   Modules/MContraction/Meson.cc \
   Modules/MContraction/WeakNeutral4ptDisc.cc \
   Modules/MContraction/WeakHamiltonianNonEye.cc \
+  Modules/MContraction/A2AAslashField.cc \
   Modules/MContraction/WardIdentity.cc \
   Modules/MContraction/A2AMesonField.cc \
   Modules/MContraction/DiscLoop.cc \
@@ -63,6 +64,7 @@ modules_cc =\
 
 modules_hpp =\
   Modules/MContraction/Baryon.hpp \
+  Modules/MContraction/A2AAslashField.hpp \
   Modules/MContraction/A2AMesonField.hpp \
   Modules/MContraction/Meson.hpp \
   Modules/MContraction/WeakHamiltonian.hpp \