Reorganise a little to let the PV inverter be defined outside

the Reconstruct class.

This lets the multiple choices for PV inversion be composed without
changing the routine and no if/else case enumeration.

Implemented SchurDiagMooee PV inversion (red black) and Unprec PV inversion.
Red black cuts from 190 iterations to 90 iterations at 10^-12 on 8^4 test system

Will revisit multiple Schur options and add a Fourier based multishift PV inverse, similar
to the one Rudy Arthur did in BFM

.github/ISSUE_TEMPLATE/bug-report.yml

@@ -1,54 +0,0 @@
-name: Bug report
-description: Report a bug.
-title: "<insert title>"
-labels: [bug]
-
-body:
-  - type: markdown
-    attributes:
-      value: >
-        Thank you for taking the time to file a bug report.
-        Please check that the code is pointing to the HEAD of develop
-        or any commit in master which is tagged with a version number.
-
-  - type: textarea
-    attributes:
-      label: "Describe the issue:"
-      description: >
-        Describe the issue and any previous attempt to solve it.
-    validations:
-      required: true
-
-  - type: textarea
-    attributes:
-      label: "Code example:"
-      description: >
-        If relevant, show how to reproduce the issue using a minimal working
-        example.
-      placeholder: |
-        << your code here >>
-      render: shell
-    validations:
-      required: false
-
-  - type: textarea
-    attributes:
-      label: "Target platform:"
-      description: >
-        Give a description of the target platform (CPU, network, compiler).
-        Please give the full CPU part description, using for example
-        `cat /proc/cpuinfo | grep 'model name' | uniq` (Linux)
-        or `sysctl machdep.cpu.brand_string` (macOS) and the full output
-        the `--version` option of your compiler.
-    validations:
-      required: true
-
-  - type: textarea
-    attributes:
-      label: "Configure options:"
-      description: >
-        Please give the exact configure command used and attach
-        `config.log`, `grid.config.summary` and the output of `make V=1`.
-      render: shell
-    validations:
-      required: true

.gitignore

@@ -1,7 +1,3 @@
-# Doxygen stuff
-html/*
-latex/*
-
 # Compiled Object files #
 #########################
 *.slo
@@ -92,7 +88,6 @@ Thumbs.db
 # build directory #
 ###################
 build*/*
-Documentation/_build
 
 # IDE related files #
 #####################
@@ -119,4 +114,3 @@ gh-pages/
 #####################
 Grid/qcd/spin/gamma-gen/*.h
 Grid/qcd/spin/gamma-gen/*.cc
-Grid/util/Version.h

.travis.yml

@@ -0,0 +1,61 @@
+language: cpp
+
+cache:
+  directories:
+    - clang
+
+matrix:
+  include:
+    - os:        osx
+      osx_image: xcode8.3
+      compiler: clang
+      env: PREC=single
+    - os:        osx
+      osx_image: xcode8.3
+      compiler: clang
+      env: PREC=double
+      
+before_install:
+    - export GRIDDIR=`pwd`
+    - if [[ "$TRAVIS_OS_NAME" == "linux" ]] && [[ "$CC" == "clang" ]] && [ ! -e clang/bin ]; then wget $CLANG_LINK; tar -xf `basename $CLANG_LINK`; mkdir clang; mv clang+*/* clang/; fi
+    - if [[ "$TRAVIS_OS_NAME" == "linux" ]] && [[ "$CC" == "clang" ]]; then export PATH="${GRIDDIR}/clang/bin:${PATH}"; fi
+    - if [[ "$TRAVIS_OS_NAME" == "linux" ]] && [[ "$CC" == "clang" ]]; then export LD_LIBRARY_PATH="${GRIDDIR}/clang/lib:${LD_LIBRARY_PATH}"; fi
+    - if [[ "$TRAVIS_OS_NAME" == "osx" ]]; then brew update; fi
+    - if [[ "$TRAVIS_OS_NAME" == "osx" ]]; then brew install libmpc openssl; fi
+    
+install:
+    - export CWD=`pwd`
+    - echo $CWD
+    - export CC=$CC$VERSION
+    - export CXX=$CXX$VERSION
+    - echo $PATH
+    - which autoconf
+    - autoconf  --version
+    - which automake
+    - automake  --version
+    - which $CC
+    - $CC  --version
+    - which $CXX
+    - $CXX --version
+    - if [[ "$TRAVIS_OS_NAME" == "osx" ]]; then export LDFLAGS='-L/usr/local/lib'; fi
+    - if [[ "$TRAVIS_OS_NAME" == "osx" ]]; then export EXTRACONF='--with-openssl=/usr/local/opt/openssl'; fi
+    
+script:
+    - ./bootstrap.sh
+    - mkdir build
+    - cd build
+    - mkdir lime
+    - cd lime
+    - mkdir build
+    - cd build
+    - wget http://usqcd-software.github.io/downloads/c-lime/lime-1.3.2.tar.gz
+    - tar xf lime-1.3.2.tar.gz
+    - cd lime-1.3.2
+    - ./configure --prefix=$CWD/build/lime/install
+    - make -j4
+    - make install
+    - cd $CWD/build
+    - ../configure --enable-precision=$PREC --enable-simd=SSE4 --enable-comms=none --with-lime=$CWD/build/lime/install ${EXTRACONF}
+    - make -j4 
+    - ./benchmarks/Benchmark_dwf --threads 1 --debug-signals
+    - make check

BLAS_benchmark/compile-command

@@ -1,2 +0,0 @@
-
-mpicxx -qmkl=parallel -fsycl BatchBlasBench.cc -o BatchBlasBench -DGRID_SYCL

BLAS_benchmark/compile-command-frontier

@@ -1,5 +0,0 @@
-CXX=hipcc
-MPICXX=mpicxx 
-CXXFLAGS="-fPIC -I{$ROCM_PATH}/include/ -I${MPICH_DIR}/include -L/lib64 -I/opt/cray/pe/mpich/8.1.28/ofi/gnu/12.3/include -DGRID_HIP"
-LDFLAGS="-L/lib64 -L${MPICH_DIR}/lib -lmpi -L${CRAY_MPICH_ROOTDIR}/gtl/lib -lmpi_gtl_hsa -lamdhip64 -lhipblas -lrocblas -lmpi_gnu_123"
-hipcc $CXXFLAGS $LDFLAGS BatchBlasBench.cc -o BatchBlasBench

BLAS_benchmark/compile-command-sunspot

@@ -1,2 +0,0 @@
-
-mpicxx -qmkl=parallel -fsycl BatchBlasBench.cc -o BatchBlasBench -DGRID_SYCL

CLAUDE.md

@@ -1,185 +0,0 @@
-# CLAUDE.md
-
-This file provides guidance to Claude Code (claude.ai/code) when working with code in this repository.
-
-## What This Is
-
-Grid is a data-parallel C++ library for lattice QCD. It provides SIMD-vectorised lattice containers, MPI-based domain decomposition, GPU acceleration (CUDA/HIP/SYCL), and a full suite of QCD algorithms including HMC.
-
-## Build
-
-Uses GNU Autotools. The bootstrap step only needs to run once (or after `configure.ac` changes).
-
-```bash
-./bootstrap.sh                    # downloads Eigen 3.4.0, generates configure
-mkdir build && cd build
-../configure [options]
-make -j$(nproc)
-make check                        # run root-level tests
-make install
-```
-
-Key configure options:
-
-| Option | Common values |
-|--------|---------------|
-| `--enable-simd=` | `AVX2`, `AVX512`, `KNL`, `A64FX`, `NEONv8`, `GPU` |
-| `--enable-comms=` | `mpi-auto`, `mpi3-auto`, `none` |
-| `--enable-accelerator=` | `cuda`, `hip`, `sycl` |
-| `--enable-shm=` | `shmopen`, `hugetlbfs`, `nvlink` |
-| `--enable-Nc=` | `3` (default), `2`, `4`, `5` |
-| `--with-gmp=`, `--with-mpfr=`, `--with-fftw=`, `--with-lime=` | paths to libs |
-| `--enable-hdf5`, `--enable-mkl`, `--enable-lapack` | optional features |
-
-GPU builds additionally need `--enable-gen-simd-width=64` (sets 512-bit SIMD width for GPU warp/wavefront sizing) and `--enable-unified=no --enable-shm=nvlink` for multi-GPU runs.
-
-To speed up compilation, `--disable-fermion-reps --disable-gparity` skips instantiating G-parity and higher-representation fermion operators.
-
-Platform recipes from `README.md`:
-- **KNL**: `--enable-simd=KNL --enable-comms=mpi3-auto --enable-mkl`
-- **Skylake/Haswell**: `--enable-simd=AVX512` or `AVX2` + `--enable-comms=mpi3-auto`
-- **AMD EPYC**: `--enable-simd=AVX2 --enable-comms=mpi3`
-- **A64FX (Fugaku)**: `--enable-simd=A64FX --enable-comms=mpi3 --enable-shm=shmget` (see `SVE_README.txt`)
-
-Complete, working `configure` invocations for specific HPC systems (Frontier/ROCm, Perlmutter/CUDA, Summit, SDCC-A100, etc.) live in `systems/<platform>/config-command`. These are the canonical references for production builds.
-
-Required external libs: GMP, MPFR, OpenSSL, zlib.
-
-### Use `systems/` for real machines
-
-`systems/<machine>/` holds the known-good build for each production platform (`Frontier`, `Aurora`, `Perlmutter`, `Summit`, `Tursa`, `Lumi`, `Booster`, `Crusher`, `SDCC-*`, `mac-arm`, …). Each contains a `config-command` (the exact `../../configure` invocation) and a `sourceme.sh` (module loads and env). **Prefer copying/adapting these over hand-rolling configure flags** — they encode compiler workarounds, `LDFLAGS`, and shared-memory settings that are easy to get wrong. `systems/WorkArounds.txt` records known vendor bugs.
-
-Note the GPU builds use `--enable-simd=GPU --enable-gen-simd-width=64`, so `Nsimd` is *not* 1 on device (it is `64/sizeof(scalar)`).
-
-### Regenerating `Make.inc` — required after adding or deleting source files
-
-`Make.inc` files are generated, not tracked in git (`.gitignore`d). `scripts/filelist` walks `Grid/`, `tests/*`, `benchmarks/`, `examples/`, and `HMC/` and writes the file lists and per-test `bin_PROGRAMS` rules. Every new `.cc`/`.h` in `Grid/`, and every new `Test_*.cc` / `Benchmark_*.cc` / `Example_*.cc`, is invisible to the build until you run:
-
-```bash
-./scripts/filelist    # from the source root, then re-run configure/make
-```
-
-`bootstrap.sh` runs it for you on the first setup.
-
-## Running Tests and Benchmarks
-
-```bash
-# From build directory
-make check                          # root-level tests (Test_simd, Test_cshift, etc.)
-make -C tests/<subdir> tests        # build tests in a subdirectory
-make tests                          # build all tests across all subdirectories
-./tests/core/Test_simd              # run a single test binary directly
-mpirun -n 4 ./tests/core/Test_cshift --grid 16.16.16.16 --mpi 1.1.1.4
-```
-
-`make check` is a thin smoke test — building a subdirectory with `make -C tests/<subdir> tests` and running the relevant binaries directly is the normal development loop. Test binaries take Grid's standard command-line arguments (`--grid`, `--mpi`, `--accelerator-threads`, `--threads`, `--debug-signals`, `--log`); see `Grid/util/Init.cc`.
-
-Test subdirectories and their focus: `core` (SIMD, stencil, comms), `solver` (CG, GMRES, eigensolvers), `hmc` (MD integrators), `forces` (fermion forces), `lanczos`, `IO`, `smearing`, `sp2n`, `debug`.
-
-Tests and benchmarks that need optional fermion representations are guarded by `disable_tests_without_instantiations.h` / `disable_benchmarks_without_instantiations.h`, so a `--disable-fermion-reps --disable-gparity` build silently compiles them to no-ops.
-
-## Architecture
-
-### Layer stack (bottom to top)
-
-1. **SIMD layer** (`Grid/simd/`) — platform-specific intrinsics wrapped into `vRealF`, `vComplexD`, etc. The SIMD width and layout are compile-time constants controlled by `--enable-simd`.
-
-2. **Tensor layer** (`Grid/tensors/`) — Lorentz/colour/spin tensor algebra built on top of SIMD types. `iMatrix`, `iVector`, `iScalar` templates compose into QCD types like `ColourMatrix`, `SpinColourVector`.
-
-3. **Lattice layer** (`Grid/lattice/`) — `Lattice<T>` container: a site-local tensor replicated across a distributed Cartesian grid. All arithmetic is site-parallel and expression-template-fused.
-
-4. **Cartesian/comms layer** (`Grid/cartesian/`, `Grid/communicator/`) — `GridCartesian` holds the MPI topology and local/global geometry. `Grid/cshift/` implements nearest-neighbour halo exchange; `Grid/stencil/` is the optimised multi-hop stencil used by Dirac operators.
-
-5. **Algorithm layer** (`Grid/algorithms/`) — iterative solvers (CG, GMRES, BiCGSTAB, mixed-precision), eigensolvers (Lanczos, LAPACK), FFT, smearing, and multigrid.
-
-6. **QCD layer** (`Grid/qcd/`) — gauge and fermion actions, HMC integrators, observables.
-
-### QCD subsystem (`Grid/qcd/`)
-
-- `action/fermion/` — Wilson, Clover, DWF (Mobius), Staggered, twisted-mass, G-parity variants
-- `action/gauge/` — Wilson gauge, Symanzik, Iwasaki, DBW2, plaquette+rect
-- `representations/` — Fundamental, Adjoint, Two-index, Sp(2n)
-- `hmc/` — Leapfrog, OMF2/OMF4 integrators; pseudofermion refreshment; Metropolis accept/reject
-- `smearing/` — APE, Stout, HEX, gradient flow
-- `observables/` — Polyakov loop, plaquette, topological charge
-
-### GPU acceleration and the view/memory-manager discipline
-### Multigrid (`Grid/algorithms/multigrid/`)
-
-Aggregation-based algebraic multigrid for Wilson-type fermions. Key files: `CoarsenedMatrix.h` (coarse operator), `GeneralCoarsenedMatrix.h` and `GeneralCoarsenedMatrixMultiRHS.h` (general coarsening supporting multi-RHS solves), `Aggregates.h` (near-null vector construction), `Geometry.h` (coarse-grid geometry). `MultiGrid.h` is the top-level include.
-
-### GPU acceleration
-
-GPU support is injected via macros in `Grid/threads/Accelerator.h` — `accelerator_for(i, n, nsimd, {...})`, `accelerator_forNB` (non-blocking, must be followed by `accelerator_barrier()`), `accelerator_for2dNB`, and `accelerator_inline`. On a CPU build these degrade to `thread_for` (OpenMP). Unified virtual memory is on by default (`--enable-unified=yes`); device-aware MPI (`--enable-accelerator-aware-mpi`) avoids device→host copies on transfers.
-
-Lattice data is **not** directly addressable inside a kernel. You must open a view with the correct access mode so `Grid/allocator/MemoryManager.h` can move/mark the data:
-
-```cpp
-autoView(out_v, out, AcceleratorWriteDiscard);   // RAII; closes at end of scope
-autoView(in_v,  in,  AcceleratorRead);
-accelerator_for(ss, grid->oSites(), Nsimd, {
-    coalescedWrite(out_v[ss], coalescedRead(in_v[ss]));
-});
-```
-
-Modes are `AcceleratorRead/Write/WriteDiscard` and `CpuRead/Write/WriteDiscard`. Getting the mode wrong (e.g. `AcceleratorRead` on a field you write) produces stale-data bugs that only appear on GPU builds. Inside kernels use `coalescedRead`/`coalescedWrite` rather than raw `operator[]` — they map the SIMD lane onto `threadIdx.x` so accesses stay coalesced.
-
-### Repo-local debugging skills (`skills/`)
-
-`skills/` contains hard-won, Grid-specific playbooks written as invocable skill files. Consult them before debugging in these areas rather than reasoning from first principles:
-
-| File | Covers |
-|---|---|
-| `gpu-memory-performance.md` | `acceleratorThreads()`, LambdaApply thread mapping, `coalescedRead` idiom, fused vs staged HBM access |
-| `gpu-runtime-correctness.md` | GPU runtime returning early from sync, silent wrong answers |
-| `communication-overlap.md` | 7-phase halo pipeline, per-packet events, host-staging vs GPU-direct RDMA |
-| `mpi-heterogeneous.md` | `MPI_Sendrecv` device-buffer aliasing, deterministic reductions |
-| `compiler-validation.md` | Isolating GPU compiler codegen bugs, minimal reproducers |
-| `correctness-verification.md` | Double-run fingerprinting, per-packet checksums, flight recorder |
-| `hang-diagnosis.md` | Diagnosing MPI/accelerator hangs |
-
-The key loop macros (defined in `Grid/threads/Accelerator.h`) are:
-- `accelerator_for(iter, num, nsimd, {...})` — maps to CUDA/HIP kernel or OpenMP loop; `nsimd` is the innermost SIMD lane count
-- `accelerator_forNB(...)` — non-blocking variant (no implicit barrier)
-- `accelerator_for2dNB(iter1, num1, iter2, num2, nsimd, {...})` — 2D kernel launch
-- `thread_for(iter, num, {...})` — CPU OpenMP loop (never dispatches to GPU)
-
-On CPU builds, `accelerator_for` aliases to `thread_for`.
-
-### Solver patterns
-
-`SchurRedBlack` (`Grid/algorithms/iterative/SchurRedBlack.h`) implements red-black (even/odd) preconditioning for fermion operators. Most production fermion solves use `SchurRedBlackDiagMooeeSolve` or similar wrappers that internally call a `ConjugateGradient` on the Schur complement.
-
-Mixed-precision solvers (`ConjugateGradientMixedPrec`, `BiCGSTABMixedPrec`) drive a double-precision outer loop with single-precision inner solves.
-
-### Memory and I/O
-
-- `Grid/allocator/` — aligned/NUMA-aware allocators; caching allocator via `--enable-alloc-cache`
-- `Grid/parallelIO/` — distributed parallel reader/writer for ILDG (via LIME), SciDAC, and native binary formats
-- `Grid/serialisation/` — text, binary, HDF5, XML/JSON serialisation of arbitrary Grid objects
-
-### Executables
-
-- `HMC/` — production HMC driver programmes (e.g. `Mobius2p1f.cc`, `DWF_plus_DSDR_nf2plus1_Shamir_Gparity.cc`)
-- `benchmarks/` — `Benchmark_dwf`, `Benchmark_ITT`, `Benchmark_comms`, `Benchmark_memory_bandwidth`, … used to qualify a new machine
-- `examples/` — small, readable programmes (`Example_plaquette.cc`, `Example_Mobius_spectrum.cc`) that are the best starting point for learning the API
-
-Each of these directories auto-builds every top-level `.cc` as its own binary via `scripts/filelist`.
-
-Every programme is wrapped in `Grid_init(&argc, &argv)` / `Grid_finalize()` (`Grid/util/Init.h`).
-
-## Key Conventions
-
-- **C++17** is required throughout.
-- Template structure: most classes are templated on `<_FImpl>` (fermion impl) or `<Gimpl>` (gauge impl), which encode the representation and precision. Instantiation is controlled by `--enable-fermion-instantiations`.
-- **Tensor indices are positional, not labelled.** The `Grid/tensors/` arithmetic recurses structurally over the `iScalar`/`iVector`/`iMatrix` nest: each level defines only the {scalar,vector,matrix}² products at its own level, with element types resolved by automatic type deduction, so every colour/spin/lorentz combination composes from ~200 lines (versus the pre-C++11 QDP++/PETE approach of machine-generating every case). An index's meaning derives entirely from its nesting depth counted from the outside; `iScalar` is the identity/broadcast case at every level. Never insert or remove a nesting level casually — the multiplication tables contract by position.
-- **Multigrid coarsening deepens the tensor nest by one level.** A coarse site vector is `iVector<CComplex,nbasis>`, and `innerProduct` on it returns `iScalar<CComplex>` — one level deeper than the fine block scalar. So the block-inner-product scalar type gains one `iScalar` wrapper per MG level (fine: `vTComplex`; level 2: `iScalar<vTComplex>`; see `examples/Example_pvdagm_3level.cc`). When calling `blockInnerProduct`/`blockZAXPY`/`blockOrthogonalise` on coarse fields, the coarse scalar type must match `decltype(innerProduct(siteVector(),siteVector()))` exactly; a wrong depth fails to compile (no viable `operator=` deep in the instantiation chain) rather than mis-contracting.
-- **Grids are borrowed, never owned.** `conformable` is pointer identity, so every object that interoperates must hold the *same* `GridCartesian *`; a class that minted its own grid internally could never conform with anything else. Ownership is therefore not available, and lifetime is managed by scope discipline instead of reference counting: whoever creates a grid retains it beyond every object it handed a reference to. Anything *derived* from a grid inherits this — `~PaddedCell` dereferences its `unpadded_grid`, so a `PaddedCell` cannot even be **destroyed** after its parent grid, only used. Where a consumer must let go early, it offers an explicit hand-back (`MultiGeneralCoarsenedOperatorV2::ReleaseGrid()`) to be called *before* the grid is destroyed.
-
-- The `RealD`/`RealF`/`ComplexD`/`ComplexF` typedefs are used everywhere; avoid raw `double`/`float`.
-- Use `GRID_ASSERT(cond)` (defined in `Grid/GridStd.h`), not bare `assert` — it prints a Grid-formatted message and aborts cleanly under MPI.
-- Logging is stream-based, not macro-based: `std::cout << GridLogMessage << ... << std::endl;`. Channels declared in `Grid/log/Log.h` include `GridLogError`, `GridLogWarning`, `GridLogDebug`, `GridLogPerformance`, `GridLogIterative`, `GridLogSolver`, `GridLogHMC`, `GridLogComms`, `GridLogMemory`, `GridLogDslash`, `GridLogIRL`, `GridLogMG`. A subset is switched on at runtime with e.g. `--log Error,Warning,Message,Performance,Iterative,Integrator,Debug,Colours` (names given without the `GridLog` prefix).
-- Performance-critical paths use `GRID_TRACE(name)` from `Grid/perfmon/Tracing.h` (compiled out unless `--enable-tracing` selects a backend) and the `GridStopWatch` timers in `Grid/perfmon/Timer.h`.
-- Reductions across MPI ranks go through `GridBase::GlobalSum` / `GlobalMax`; never reduce with bare MPI calls inside library code.
-- Everything lives in `NAMESPACE_BEGIN(Grid)` / `NAMESPACE_END(Grid)` macros; follow the surrounding file rather than writing `namespace Grid { }`.
-- British spelling is used in identifiers and comments (`colour`, `neighbour`, `serialisation`).

ChangeLog

@@ -1,5 +0,0 @@
-Version : 0.8.0
-
-- Clang 3.5 and above, ICPC v16 and above, GCC 6.3 and above recommended
-- MPI and MPI3 comms optimisations for KNL and OPA finished
-- Half precision comms

Grid/DisableWarnings.h

@@ -30,46 +30,8 @@ directory
 #ifndef DISABLE_WARNINGS_H
 #define DISABLE_WARNINGS_H
 
-
-
-#if defined __GNUC__ && __GNUC__>=6
-#pragma GCC diagnostic ignored "-Wignored-attributes"
-#endif
-
  //disables and intel compiler specific warning (in json.hpp)
-#ifdef __ICC
 #pragma warning disable 488  
-#endif
 
-#ifdef __NVCC__
- //disables nvcc specific warning in json.hpp
-#pragma clang diagnostic ignored "-Wdeprecated-register"
-
-#ifdef __NVCC_DIAG_PRAGMA_SUPPORT__
- //disables nvcc specific warning in json.hpp
-#pragma nv_diag_suppress unsigned_compare_with_zero
-#pragma nv_diag_suppress cast_to_qualified_type
- //disables nvcc specific warning in many files
-#pragma nv_diag_suppress esa_on_defaulted_function_ignored
-#pragma nv_diag_suppress declared_but_not_referenced
-#pragma nv_diag_suppress extra_semicolon
-#else
- //disables nvcc specific warning in json.hpp
-#pragma diag_suppress unsigned_compare_with_zero
-#pragma diag_suppress cast_to_qualified_type
-#pragma diag_suppress declared_but_not_referenced
- //disables nvcc specific warning in many files
-#pragma diag_suppress esa_on_defaulted_function_ignored
-#pragma diag_suppress extra_semicolon
-#endif
-#endif
-
-// Disable vectorisation in Eigen on the Power8/9 and PowerPC
-#ifdef  __ALTIVEC__
-#define  EIGEN_DONT_VECTORIZE
-#endif
-#ifdef  __VSX__
-#define  EIGEN_DONT_VECTORIZE
-#endif
 
 #endif

Grid/Grid.h

@@ -42,7 +42,6 @@ Author: paboyle <paboyle@ph.ed.ac.uk>
 #include <Grid/GridQCDcore.h>
 #include <Grid/qcd/action/Action.h>
 #include <Grid/qcd/utils/GaugeFix.h>
-#include <Grid/qcd/utils/CovariantSmearing.h>
 #include <Grid/qcd/smearing/Smearing.h>
 #include <Grid/parallelIO/MetaData.h>
 #include <Grid/qcd/hmc/HMC_aggregate.h>

Grid/GridCore.h

@@ -38,31 +38,24 @@ Author: paboyle <paboyle@ph.ed.ac.uk>
 #ifndef GRID_BASE_H
 #define GRID_BASE_H
 
-
-#include <Grid/DisableWarnings.h>
-#include <Grid/Namespace.h>
 #include <Grid/GridStd.h>
-#include <Grid/threads/Pragmas.h>
+
 #include <Grid/perfmon/Timer.h>
-//#include <Grid/perfmon/PerfCount.h>
+#include <Grid/perfmon/PerfCount.h>
-#include <Grid/util/Util.h>
 #include <Grid/log/Log.h>
-#include <Grid/perfmon/Tracing.h>
+#include <Grid/allocator/AlignedAllocator.h>
-#include <Grid/allocator/Allocator.h>
 #include <Grid/simd/Simd.h>
-#include <Grid/threads/ThreadReduction.h>
 #include <Grid/serialisation/Serialisation.h>
+#include <Grid/threads/Threads.h>
+#include <Grid/util/Util.h>
 #include <Grid/util/Sha.h>
 #include <Grid/communicator/Communicator.h> 
-#include <Grid/communicator/RingAllReduce.h>
 #include <Grid/cartesian/Cartesian.h>    
 #include <Grid/tensors/Tensors.h>      
 #include <Grid/lattice/Lattice.h>      
 #include <Grid/cshift/Cshift.h>       
 #include <Grid/stencil/Stencil.h>      
-#include <Grid/stencil/GeneralLocalStencil.h>      
 #include <Grid/parallelIO/BinaryIO.h>
 #include <Grid/algorithms/Algorithms.h>   
-NAMESPACE_CHECK(GridCore)
 
 #endif

Grid/GridQCDcore.h

@@ -36,9 +36,7 @@ Author: paboyle <paboyle@ph.ed.ac.uk>
 #include <Grid/GridCore.h>
 #include <Grid/qcd/QCD.h>
 #include <Grid/qcd/spin/Spin.h>
-#include <Grid/qcd/gparity/Gparity.h>
 #include <Grid/qcd/utils/Utils.h>
 #include <Grid/qcd/representations/Representations.h>
-NAMESPACE_CHECK(GridQCDCore);
 
 #endif

Grid/GridStd.h

@@ -1,70 +1,29 @@
 #ifndef GRID_STD_H
 #define GRID_STD_H
 
-///////////////////
-// Grid config
-///////////////////
-#include "Config.h"
-
 ///////////////////
 // Std C++ dependencies
 ///////////////////
-#define _NBACKTRACE (256)
-extern void * Grid_backtrace_buffer[_NBACKTRACE];
-
 #include <cassert>
 #include <complex>
-#include <memory>
 #include <vector>
-#include <array>
 #include <string>
 #include <iostream>
 #include <iomanip>
 #include <random>
 #include <functional>
 #include <stdio.h>
-#include <string.h>
 #include <stdlib.h>
-#include <unistd.h>
-#include <strings.h>
 #include <stdio.h>
 #include <signal.h>
 #include <ctime>
 #include <sys/time.h>
 #include <chrono>
 #include <zlib.h>
-#ifdef HAVE_EXECINFO_H
-#include <execinfo.h>
-#endif
 
-void GridAbort(void);
+///////////////////
+// Grid config
+///////////////////
+#include "Config.h"
 
-#define ASSLOG(A) ::write(STDERR_FILENO,A,::strlen(A));
-#ifdef HAVE_EXECINFO_H
-#define GRID_ASSERT(b) if(!(b)) {					\
-    fflush(stdout); \
-    ASSLOG(" GRID_ASSERT failure: ");					\
-    ASSLOG(__FILE__);							\
-    ASSLOG(" : ");							\
-    ASSLOG(#b);								\
-    ASSLOG(" : ");							\
-    int symbols = backtrace(Grid_backtrace_buffer,_NBACKTRACE);		\
-    backtrace_symbols_fd(Grid_backtrace_buffer,symbols,STDERR_FILENO);	\
-    GridAbort();							\
-  };
-#else
-#define GRID_ASSERT(b) if(!(b)) {					\
-    ASSLOG(" GRID_ASSERT failure: ");					\
-    ASSLOG(__FILE__);							\
-    ASSLOG(" : ");							\
-    ASSLOG(#b);								\
-    ASSLOG(" : ");							\
-    GridAbort();							\
-  };
-#endif
-
-
-#ifdef TOFU
-#undef GRID_COMMS_THREADS
-#endif
 #endif /* GRID_STD_H */

Grid/Grid_Eigen_Dense.h

@@ -1,75 +1,14 @@
-#include <Grid/GridCore.h>
 #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"
 #endif
-
-/* NVCC save and restore compile environment*/
-#ifdef __NVCC__
-#pragma push
-#ifdef __NVCC_DIAG_PRAGMA_SUPPORT__
-#pragma nv_diag_suppress code_is_unreachable
-#else
-#pragma diag_suppress code_is_unreachable
-#endif
-#pragma push_macro("__CUDA_ARCH__")
-#pragma push_macro("__NVCC__")
-#pragma push_macro("__CUDACC__")
-#undef __CUDA_ARCH__
-#undef __NVCC__
-#undef __CUDACC__
-#define __NVCC__REDEFINE__
-#endif 
-
-/* SYCL save and restore compile environment*/
-#ifdef GRID_SYCL
-#pragma push
-#pragma push_macro("__SYCL_DEVICE_ONLY__")
-#undef __SYCL_DEVICE_ONLY__
-#define EIGEN_DONT_VECTORIZE
-#undef EIGEN_USE_SYCL
-#define __SYCL__REDEFINE__
-#endif
-
-/* HIP save and restore compile environment*/
-#ifdef GRID_HIP
-#pragma push
-#pragma push_macro("__HIP_DEVICE_COMPILE__")
-#endif
-#define EIGEN_NO_HIP
-
 #include <Grid/Eigen/Dense>
-#include <Grid/Eigen/unsupported/CXX11/Tensor>
-
-/* NVCC restore */
-#ifdef __NVCC__REDEFINE__
-#pragma pop_macro("__CUDACC__")
-#pragma pop_macro("__NVCC__")
-#pragma pop_macro("__CUDA_ARCH__")
-#pragma pop
-#endif
-
-/*SYCL restore*/
-#ifdef __SYCL__REDEFINE__
-#pragma pop_macro("__SYCL_DEVICE_ONLY__")
-#pragma pop
-#endif
-
-/*HIP restore*/
-#ifdef __HIP__REDEFINE__
-#pragma pop_macro("__HIP_DEVICE_COMPILE__")
-#pragma pop
-#endif
-
 #if defined __GNUC__
 #pragma GCC diagnostic pop
 #endif
-
-

Grid/Grid_Eigen_Tensor.h

@@ -1 +0,0 @@
-#include <Grid/Grid_Eigen_Dense.h>

Grid/Makefile.am

@@ -21,8 +21,7 @@ if BUILD_HDF5
   extra_headers+=serialisation/Hdf5Type.h
 endif
 
-
+all: version-cache
-all: version-cache Version.h
 
 version-cache:
 	@if [ `git status --porcelain | grep -v '??' | wc -l` -gt 0 ]; then\
@@ -43,7 +42,7 @@ version-cache:
 	fi;\
 	rm -f vertmp
 
-Version.h: version-cache
+Version.h:
 	cp version-cache Version.h
 
 .PHONY: version-cache
@@ -54,27 +53,6 @@ Version.h: version-cache
 include Make.inc
 include Eigen.inc
 
-if BUILD_FERMION_INSTANTIATIONS
-  extra_sources+=$(WILS_FERMION_FILES)
-  extra_sources+=$(STAG_FERMION_FILES)
-if BUILD_ZMOBIUS
-    extra_sources+=$(ZWILS_FERMION_FILES)
-endif
-if BUILD_GPARITY
-    extra_sources+=$(GP_FERMION_FILES)
-endif
-if BUILD_FERMION_REPS
-    extra_sources+=$(ADJ_FERMION_FILES)
-    extra_sources+=$(TWOIND_FERMION_FILES)
-endif
-if BUILD_SP
-    extra_sources+=$(SP_FERMION_FILES)
-if BUILD_FERMION_REPS
-      extra_sources+=$(SP_TWOIND_FERMION_FILES)
-endif
-endif
-endif
-
 lib_LIBRARIES = libGrid.a
 
 CCFILES += $(extra_sources)

Grid/Namespace.h

@@ -1,43 +0,0 @@
-/*************************************************************************************
-
-Grid physics library, www.github.com/paboyle/Grid
-
-Source file: ./lib/Namespace.h
-
-Copyright (C) 2016
-
-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 */
-#pragma once
-
-#include <type_traits>
-#include <exception>
-#include <cassert>
-
-#define NAMESPACE_BEGIN(A) namespace A {
-#define NAMESPACE_END(A)   }
-#define GRID_NAMESPACE_BEGIN NAMESPACE_BEGIN(Grid)
-#define GRID_NAMESPACE_END   NAMESPACE_END(Grid)
-#define NAMESPACE_CHECK(x) struct namespaceTEST##x {};  static_assert(std::is_same<namespaceTEST##x, ::namespaceTEST##x>::value,"Not in :: at"  ); 
-
-#define EXCEPTION_CHECK_BEGIN(A) try {
-#define EXCEPTION_CHECK_END(A)   } catch ( std::exception e ) { BACKTRACEFP(stderr); std::cerr << __PRETTY_FUNCTION__ << " : " <<__LINE__<< " Caught exception "<<e.what()<<std::endl; throw; }
-

Grid/algorithms/Algorithms.h

@@ -29,58 +29,34 @@ Author: Peter Boyle <paboyle@ph.ed.ac.uk>
 #ifndef GRID_ALGORITHMS_H
 #define GRID_ALGORITHMS_H
 
-NAMESPACE_CHECK(blas);
-#include <Grid/algorithms/blas/BatchedBlas.h>
-
-NAMESPACE_CHECK(algorithms);
 #include <Grid/algorithms/SparseMatrix.h>
 #include <Grid/algorithms/LinearOperator.h>
 #include <Grid/algorithms/Preconditioner.h>
-NAMESPACE_CHECK(SparseMatrix);
 
 #include <Grid/algorithms/approx/Zolotarev.h>
 #include <Grid/algorithms/approx/Chebyshev.h>
-#include <Grid/algorithms/approx/JacobiPolynomial.h>
 #include <Grid/algorithms/approx/Remez.h>
 #include <Grid/algorithms/approx/MultiShiftFunction.h>
 #include <Grid/algorithms/approx/Forecast.h>
-#include <Grid/algorithms/approx/RemezGeneral.h>
+
-#include <Grid/algorithms/approx/ZMobius.h>
+#include <Grid/algorithms/iterative/Deflation.h>
-NAMESPACE_CHECK(approx);
-#include <Grid/algorithms/deflation/Deflation.h>
-#include <Grid/algorithms/deflation/MultiRHSBlockProject.h>
-#include <Grid/algorithms/deflation/MultiRHSDeflation.h>
-#include <Grid/algorithms/deflation/MultiRHSBlockCGLinalg.h>
-// Not really deflation, but useful
-#include <Grid/algorithms/blas/MomentumProject.h>
-NAMESPACE_CHECK(deflation);
 #include <Grid/algorithms/iterative/ConjugateGradient.h>
-NAMESPACE_CHECK(ConjGrad);
-#include <Grid/algorithms/iterative/BiCGSTAB.h>
-NAMESPACE_CHECK(BiCGSTAB);
 #include <Grid/algorithms/iterative/ConjugateResidual.h>
 #include <Grid/algorithms/iterative/NormalEquations.h>
 #include <Grid/algorithms/iterative/SchurRedBlack.h>
 #include <Grid/algorithms/iterative/ConjugateGradientMultiShift.h>
 #include <Grid/algorithms/iterative/ConjugateGradientMixedPrec.h>
-#include <Grid/algorithms/iterative/ConjugateGradientMultiShiftMixedPrec.h>
-#include <Grid/algorithms/iterative/ConjugateGradientMixedPrecBatched.h>
-#include <Grid/algorithms/iterative/BiCGSTABMixedPrec.h>
 #include <Grid/algorithms/iterative/BlockConjugateGradient.h>
 #include <Grid/algorithms/iterative/ConjugateGradientReliableUpdate.h>
-#include <Grid/algorithms/iterative/MinimalResidual.h>
-#include <Grid/algorithms/iterative/GeneralisedMinimalResidual.h>
-#include <Grid/algorithms/iterative/CommunicationAvoidingGeneralisedMinimalResidual.h>
-#include <Grid/algorithms/iterative/FlexibleGeneralisedMinimalResidual.h>
-#include <Grid/algorithms/iterative/FlexibleCommunicationAvoidingGeneralisedMinimalResidual.h>
-#include <Grid/algorithms/iterative/MixedPrecisionFlexibleGeneralisedMinimalResidual.h>
 #include <Grid/algorithms/iterative/ImplicitlyRestartedLanczos.h>
-#include <Grid/algorithms/iterative/PowerMethod.h>
+#include <Grid/algorithms/CoarsenedMatrix.h>
-#include <Grid/algorithms/iterative/AdefGeneric.h>
-#include <Grid/algorithms/iterative/AdefMrhs.h>
-NAMESPACE_CHECK(PowerMethod);
-#include <Grid/algorithms/multigrid/MultiGrid.h>
-NAMESPACE_CHECK(multigrid);
 #include <Grid/algorithms/FFT.h>
 
+
+// EigCg
+// Pcg
+// Hdcg
+// GCR
+// etc..
+
 #endif

Grid/algorithms/CoarsenedMatrix.h

@@ -0,0 +1,480 @@
+    /*************************************************************************************
+
+    Grid physics library, www.github.com/paboyle/Grid 
+
+    Source file: ./lib/algorithms/CoarsenedMatrix.h
+
+    Copyright (C) 2015
+
+Author: Azusa Yamaguchi <ayamaguc@staffmail.ed.ac.uk>
+Author: Peter Boyle <paboyle@ph.ed.ac.uk>
+Author: Peter Boyle <peterboyle@Peters-MacBook-Pro-2.local>
+Author: paboyle <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  GRID_ALGORITHM_COARSENED_MATRIX_H
+#define  GRID_ALGORITHM_COARSENED_MATRIX_H
+
+
+namespace Grid {
+
+  class Geometry {
+    //    int dimension;
+  public:
+    int npoint;
+    std::vector<int> directions   ;
+    std::vector<int> displacements;
+
+  Geometry(int _d)  {
+  
+      int base = (_d==5) ? 1:0;
+
+      // make coarse grid stencil for 4d , not 5d
+      if ( _d==5 ) _d=4;
+
+      npoint = 2*_d+1;
+      directions.resize(npoint);
+      displacements.resize(npoint);
+      for(int d=0;d<_d;d++){
+	directions[2*d  ] = d+base;
+	directions[2*d+1] = d+base;
+	displacements[2*d  ] = +1;
+	displacements[2*d+1] = -1;
+      }
+      directions   [2*_d]=0;
+      displacements[2*_d]=0;
+      
+      //// report back
+      std::cout<<GridLogMessage<<"directions    :";
+      for(int d=0;d<npoint;d++) std::cout<< directions[d]<< " ";
+      std::cout <<std::endl;
+      std::cout<<GridLogMessage<<"displacements :";
+      for(int d=0;d<npoint;d++) std::cout<< displacements[d]<< " ";
+      std::cout<<std::endl;
+    }
+  
+    /*
+      // Original cleaner code
+    Geometry(int _d) : dimension(_d), npoint(2*_d+1), directions(npoint), displacements(npoint) {
+      for(int d=0;d<dimension;d++){
+	directions[2*d  ] = d;
+	directions[2*d+1] = d;
+	displacements[2*d  ] = +1;
+	displacements[2*d+1] = -1;
+      }
+      directions   [2*dimension]=0;
+      displacements[2*dimension]=0;
+    }
+    std::vector<int> GetDelta(int point) {
+      std::vector<int> delta(dimension,0);
+      delta[directions[point]] = displacements[point];
+      return delta;
+    };
+    */    
+
+  };
+  
+  template<class Fobj,class CComplex,int nbasis>
+  class Aggregation   {
+  public:
+    typedef iVector<CComplex,nbasis >             siteVector;
+    typedef Lattice<siteVector>                 CoarseVector;
+    typedef Lattice<iMatrix<CComplex,nbasis > > CoarseMatrix;
+
+    typedef Lattice< CComplex >   CoarseScalar; // used for inner products on fine field
+    typedef Lattice<Fobj >        FineField;
+
+    GridBase *CoarseGrid;
+    GridBase *FineGrid;
+    std::vector<Lattice<Fobj> > subspace;
+    int checkerboard;
+
+  Aggregation(GridBase *_CoarseGrid,GridBase *_FineGrid,int _checkerboard) : 
+    CoarseGrid(_CoarseGrid),
+      FineGrid(_FineGrid),
+      subspace(nbasis,_FineGrid),
+      checkerboard(_checkerboard)
+	{
+	};
+  
+    void Orthogonalise(void){
+      CoarseScalar InnerProd(CoarseGrid); 
+      std::cout << GridLogMessage <<" Gramm-Schmidt pass 1"<<std::endl;
+      blockOrthogonalise(InnerProd,subspace);
+      std::cout << GridLogMessage <<" Gramm-Schmidt pass 2"<<std::endl;
+      blockOrthogonalise(InnerProd,subspace);
+      //      std::cout << GridLogMessage <<" Gramm-Schmidt checking orthogonality"<<std::endl;
+      //      CheckOrthogonal();
+    } 
+    void CheckOrthogonal(void){
+      CoarseVector iProj(CoarseGrid); 
+      CoarseVector eProj(CoarseGrid); 
+      for(int i=0;i<nbasis;i++){
+	blockProject(iProj,subspace[i],subspace);
+	eProj=zero; 
+	parallel_for(int ss=0;ss<CoarseGrid->oSites();ss++){
+	  eProj._odata[ss](i)=CComplex(1.0);
+	}
+	eProj=eProj - iProj;
+	std::cout<<GridLogMessage<<"Orthog check error "<<i<<" " << norm2(eProj)<<std::endl;
+      }
+      std::cout<<GridLogMessage <<"CheckOrthog done"<<std::endl;
+    }
+    void ProjectToSubspace(CoarseVector &CoarseVec,const FineField &FineVec){
+      blockProject(CoarseVec,FineVec,subspace);
+    }
+    void PromoteFromSubspace(const CoarseVector &CoarseVec,FineField &FineVec){
+      FineVec.checkerboard = subspace[0].checkerboard;
+      blockPromote(CoarseVec,FineVec,subspace);
+    }
+    void CreateSubspaceRandom(GridParallelRNG &RNG){
+      for(int i=0;i<nbasis;i++){
+	random(RNG,subspace[i]);
+	std::cout<<GridLogMessage<<" norm subspace["<<i<<"] "<<norm2(subspace[i])<<std::endl;
+      }
+      Orthogonalise();
+    }
+
+    /*
+    virtual void CreateSubspaceLanczos(GridParallelRNG  &RNG,LinearOperatorBase<FineField> &hermop,int nn=nbasis) 
+    {
+      // Run a Lanczos with sloppy convergence
+	const int Nstop = nn;
+	const int Nk = nn+20;
+	const int Np = nn+20;
+	const int Nm = Nk+Np;
+	const int MaxIt= 10000;
+	RealD resid = 1.0e-3;
+
+	Chebyshev<FineField> Cheb(0.5,64.0,21);
+	ImplicitlyRestartedLanczos<FineField> IRL(hermop,Cheb,Nstop,Nk,Nm,resid,MaxIt);
+	//	IRL.lock = 1;
+
+	FineField noise(FineGrid); gaussian(RNG,noise);
+	FineField tmp(FineGrid); 
+	std::vector<RealD>     eval(Nm);
+	std::vector<FineField> evec(Nm,FineGrid);
+
+	int Nconv;
+	IRL.calc(eval,evec,
+		 noise,
+		 Nconv);
+
+    	// pull back nn vectors
+	for(int b=0;b<nn;b++){
+
+	  subspace[b]   = evec[b];
+
+	  std::cout << GridLogMessage <<"subspace["<<b<<"] = "<<norm2(subspace[b])<<std::endl;
+
+	  hermop.Op(subspace[b],tmp); 
+	  std::cout<<GridLogMessage << "filtered["<<b<<"] <f|MdagM|f> "<<norm2(tmp)<<std::endl;
+
+	  noise = tmp -  sqrt(eval[b])*subspace[b] ;
+
+	  std::cout<<GridLogMessage << " lambda_"<<b<<" = "<< eval[b] <<"  ;  [ M - Lambda ]_"<<b<<" vec_"<<b<<"  = " <<norm2(noise)<<std::endl;
+
+	  noise = tmp +  eval[b]*subspace[b] ;
+
+	  std::cout<<GridLogMessage << " lambda_"<<b<<" = "<< eval[b] <<"  ;  [ M - Lambda ]_"<<b<<" vec_"<<b<<"  = " <<norm2(noise)<<std::endl;
+
+	}
+	Orthogonalise();
+	for(int b=0;b<nn;b++){
+	  std::cout << GridLogMessage <<"subspace["<<b<<"] = "<<norm2(subspace[b])<<std::endl;
+	}
+    }
+    */
+    virtual void CreateSubspace(GridParallelRNG  &RNG,LinearOperatorBase<FineField> &hermop,int nn=nbasis) {
+
+      RealD scale;
+
+      ConjugateGradient<FineField> CG(1.0e-2,10000);
+      FineField noise(FineGrid);
+      FineField Mn(FineGrid);
+
+      for(int b=0;b<nn;b++){
+	
+	gaussian(RNG,noise);
+	scale = std::pow(norm2(noise),-0.5); 
+	noise=noise*scale;
+
+	hermop.Op(noise,Mn); std::cout<<GridLogMessage << "noise   ["<<b<<"] <n|MdagM|n> "<<norm2(Mn)<<std::endl;
+
+	for(int i=0;i<1;i++){
+
+	  CG(hermop,noise,subspace[b]);
+
+	  noise = subspace[b];
+	  scale = std::pow(norm2(noise),-0.5); 
+	  noise=noise*scale;
+
+	}
+
+	hermop.Op(noise,Mn); std::cout<<GridLogMessage << "filtered["<<b<<"] <f|MdagM|f> "<<norm2(Mn)<<std::endl;
+	subspace[b]   = noise;
+
+      }
+
+      Orthogonalise();
+
+    }
+  };
+  // Fine Object == (per site) type of fine field
+  // nbasis      == number of deflation vectors
+  template<class Fobj,class CComplex,int nbasis>
+  class CoarsenedMatrix : public SparseMatrixBase<Lattice<iVector<CComplex,nbasis > > >  {
+  public:
+    
+    typedef iVector<CComplex,nbasis >             siteVector;
+    typedef Lattice<siteVector>                 CoarseVector;
+    typedef Lattice<iMatrix<CComplex,nbasis > > CoarseMatrix;
+
+    typedef Lattice< CComplex >   CoarseScalar; // used for inner products on fine field
+    typedef Lattice<Fobj >        FineField;
+
+    ////////////////////
+    // Data members
+    ////////////////////
+    Geometry         geom;
+    GridBase *       _grid; 
+    CartesianStencil<siteVector,siteVector> Stencil; 
+
+    std::vector<CoarseMatrix> A;
+
+      
+    ///////////////////////
+    // Interface
+    ///////////////////////
+    GridBase * Grid(void)         { return _grid; };   // this is all the linalg routines need to know
+
+    RealD M (const CoarseVector &in, CoarseVector &out){
+
+      conformable(_grid,in._grid);
+      conformable(in._grid,out._grid);
+
+      SimpleCompressor<siteVector> compressor;
+      Stencil.HaloExchange(in,compressor);
+
+      parallel_for(int ss=0;ss<Grid()->oSites();ss++){
+        siteVector res = zero;
+	siteVector nbr;
+	int ptype;
+	StencilEntry *SE;
+	for(int point=0;point<geom.npoint;point++){
+
+	  SE=Stencil.GetEntry(ptype,point,ss);
+	  
+	  if(SE->_is_local&&SE->_permute) { 
+	    permute(nbr,in._odata[SE->_offset],ptype);
+	  } else if(SE->_is_local) { 
+	    nbr = in._odata[SE->_offset];
+	  } else {
+	    nbr = Stencil.CommBuf()[SE->_offset];
+	  }
+	  res = res + A[point]._odata[ss]*nbr;
+	}
+	vstream(out._odata[ss],res);
+      }
+      return norm2(out);
+    };
+
+    RealD Mdag (const CoarseVector &in, CoarseVector &out){ 
+      return M(in,out);
+    };
+
+    // Defer support for further coarsening for now
+    void Mdiag    (const CoarseVector &in,  CoarseVector &out){};
+    void Mdir     (const CoarseVector &in,  CoarseVector &out,int dir, int disp){};
+
+    CoarsenedMatrix(GridCartesian &CoarseGrid) 	: 
+
+      _grid(&CoarseGrid),
+      geom(CoarseGrid._ndimension),
+      Stencil(&CoarseGrid,geom.npoint,Even,geom.directions,geom.displacements),
+      A(geom.npoint,&CoarseGrid)
+    {
+    };
+
+    void CoarsenOperator(GridBase *FineGrid,LinearOperatorBase<Lattice<Fobj> > &linop,
+			 Aggregation<Fobj,CComplex,nbasis> & Subspace){
+
+      FineField iblock(FineGrid); // contributions from within this block
+      FineField oblock(FineGrid); // contributions from outwith this block
+
+      FineField     phi(FineGrid);
+      FineField     tmp(FineGrid);
+      FineField     zz(FineGrid); zz=zero;
+      FineField    Mphi(FineGrid);
+
+      Lattice<iScalar<vInteger> > coor(FineGrid);
+
+      CoarseVector iProj(Grid()); 
+      CoarseVector oProj(Grid()); 
+      CoarseScalar InnerProd(Grid()); 
+
+      // Orthogonalise the subblocks over the basis
+      blockOrthogonalise(InnerProd,Subspace.subspace);
+
+      // Compute the matrix elements of linop between this orthonormal
+      // set of vectors.
+      int self_stencil=-1;
+      for(int p=0;p<geom.npoint;p++){ 
+	A[p]=zero;
+	if( geom.displacements[p]==0){
+	  self_stencil=p;
+	}
+      }
+      assert(self_stencil!=-1);
+
+      for(int i=0;i<nbasis;i++){
+	phi=Subspace.subspace[i];
+	
+	std::cout<<GridLogMessage<<"("<<i<<").."<<std::endl;
+
+	for(int p=0;p<geom.npoint;p++){ 
+
+	  int dir   = geom.directions[p];
+	  int disp  = geom.displacements[p];
+
+	  Integer block=(FineGrid->_rdimensions[dir])/(Grid()->_rdimensions[dir]);
+
+	  LatticeCoordinate(coor,dir);
+
+	  if ( disp==0 ){
+	    linop.OpDiag(phi,Mphi);
+	  }
+	  else  {
+	    linop.OpDir(phi,Mphi,dir,disp); 
+	  }
+
+	  ////////////////////////////////////////////////////////////////////////
+	  // Pick out contributions coming from this cell and neighbour cell
+	  ////////////////////////////////////////////////////////////////////////
+	  if ( disp==0 ) {
+	    iblock = Mphi;
+	    oblock = zero;
+	  } else if ( disp==1 ) {
+	    oblock = where(mod(coor,block)==(block-1),Mphi,zz);
+	    iblock = where(mod(coor,block)!=(block-1),Mphi,zz);
+	  } else if ( disp==-1 ) {
+	    oblock = where(mod(coor,block)==(Integer)0,Mphi,zz);
+	    iblock = where(mod(coor,block)!=(Integer)0,Mphi,zz);
+	  } else {
+	    assert(0);
+	  }
+
+	  Subspace.ProjectToSubspace(iProj,iblock);
+	  Subspace.ProjectToSubspace(oProj,oblock);
+	  //	  blockProject(iProj,iblock,Subspace.subspace);
+	  //	  blockProject(oProj,oblock,Subspace.subspace);
+	  parallel_for(int ss=0;ss<Grid()->oSites();ss++){
+	    for(int j=0;j<nbasis;j++){
+	      if( disp!= 0 ) {
+		A[p]._odata[ss](j,i) = oProj._odata[ss](j);
+	      }
+	      A[self_stencil]._odata[ss](j,i) =	A[self_stencil]._odata[ss](j,i) + iProj._odata[ss](j);
+	    }
+	  }
+	}
+      }
+
+#if 0
+      ///////////////////////////
+      // test code worth preserving in if block
+      ///////////////////////////
+      std::cout<<GridLogMessage<< " Computed matrix elements "<< self_stencil <<std::endl;
+      for(int p=0;p<geom.npoint;p++){
+	std::cout<<GridLogMessage<< "A["<<p<<"]" << std::endl;
+	std::cout<<GridLogMessage<< A[p] << std::endl;
+      }
+      std::cout<<GridLogMessage<< " picking by block0 "<< self_stencil <<std::endl;
+
+      phi=Subspace.subspace[0];
+      std::vector<int> bc(FineGrid->_ndimension,0);
+
+      blockPick(Grid(),phi,tmp,bc);      // Pick out a block
+      linop.Op(tmp,Mphi);                // Apply big dop
+      blockProject(iProj,Mphi,Subspace.subspace); // project it and print it
+      std::cout<<GridLogMessage<< " Computed matrix elements from block zero only "<<std::endl;
+      std::cout<<GridLogMessage<< iProj <<std::endl;
+      std::cout<<GridLogMessage<<"Computed Coarse Operator"<<std::endl;
+#endif
+      //      ForceHermitian();
+      AssertHermitian();
+      // ForceDiagonal();
+    }
+    void ForceDiagonal(void) {
+
+
+      std::cout<<GridLogMessage<<"**************************************************"<<std::endl;
+      std::cout<<GridLogMessage<<"****   Forcing coarse operator to be diagonal ****"<<std::endl;
+      std::cout<<GridLogMessage<<"**************************************************"<<std::endl;
+      for(int p=0;p<8;p++){
+	A[p]=zero;
+      }
+
+      GridParallelRNG  RNG(Grid()); RNG.SeedFixedIntegers(std::vector<int>({55,72,19,17,34}));
+      Lattice<iScalar<CComplex> > val(Grid()); random(RNG,val);
+
+      Complex one(1.0);
+
+      iMatrix<CComplex,nbasis> ident;  ident=one;
+
+      val = val*adj(val);
+      val = val + 1.0;
+
+      A[8] = val*ident;
+
+      //      for(int s=0;s<Grid()->oSites();s++) {
+      //	A[8]._odata[s]=val._odata[s];
+      //      }
+    }
+    void ForceHermitian(void) {
+      for(int d=0;d<4;d++){
+	int dd=d+1;
+	A[2*d] = adj(Cshift(A[2*d+1],dd,1));
+      }
+      //      A[8] = 0.5*(A[8] + adj(A[8]));
+    }
+    void AssertHermitian(void) {
+      CoarseMatrix AA    (Grid());
+      CoarseMatrix AAc   (Grid());
+      CoarseMatrix Diff  (Grid());
+      for(int d=0;d<4;d++){
+	
+	int dd=d+1;
+	AAc = Cshift(A[2*d+1],dd,1);
+	AA  = A[2*d];
+	
+	Diff = AA - adj(AAc);
+
+	std::cout<<GridLogMessage<<"Norm diff dim "<<d<<" "<< norm2(Diff)<<std::endl;
+	std::cout<<GridLogMessage<<"Norm dim "<<d<<" "<< norm2(AA)<<std::endl;
+	  
+      }
+      Diff = A[8] - adj(A[8]);
+      std::cout<<GridLogMessage<<"Norm diff local "<< norm2(Diff)<<std::endl;
+      std::cout<<GridLogMessage<<"Norm local "<< norm2(A[8])<<std::endl;
+    }
+    
+  };
+
+}
+#endif

Grid/algorithms/FFT.h

@@ -1,4 +1,5 @@
-/*************************************************************************************
+
+    /*************************************************************************************
 
     Grid physics library, www.github.com/paboyle/Grid 
 
@@ -23,473 +24,283 @@ Author: Peter Boyle <paboyle@ph.ed.ac.uk>
     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 */
+    /*  END LEGAL */
 #ifndef _GRID_FFT_H_
 #define _GRID_FFT_H_
 
-#ifdef GRID_CUDA
-#include <cufft.h>
-#endif
-
-#ifdef GRID_HIP
-#include <hipfft/hipfft.h>
-#endif
-
-#if !defined(GRID_CUDA) && !defined(GRID_HIP)
 #ifdef HAVE_FFTW
-#if defined(USE_MKL) || defined(GRID_SYCL)
+#ifdef USE_MKL
 #include <fftw/fftw3.h>
 #else
 #include <fftw3.h>
 #endif
 #endif
-#endif
 
-NAMESPACE_BEGIN(Grid);
+
+namespace Grid {
+
+  template<class scalar> struct FFTW { };
+
+#ifdef HAVE_FFTW	
+  template<> struct FFTW<ComplexD> {
+  public:
+
+    typedef fftw_complex FFTW_scalar;
+    typedef fftw_plan    FFTW_plan;
+
+    static FFTW_plan fftw_plan_many_dft(int rank, const int *n,int howmany,
+					FFTW_scalar *in, const int *inembed,		
+					int istride, int idist,		
+					FFTW_scalar *out, const int *onembed,		
+					int ostride, int odist,		
+					int sign, unsigned flags) {
+      return ::fftw_plan_many_dft(rank,n,howmany,in,inembed,istride,idist,out,onembed,ostride,odist,sign,flags);
+    }	  
+    
+    static void fftw_flops(const FFTW_plan p,double *add, double *mul, double *fmas){
+      ::fftw_flops(p,add,mul,fmas);
+    }
+
+    inline static void fftw_execute_dft(const FFTW_plan p,FFTW_scalar *in,FFTW_scalar *out) {
+      ::fftw_execute_dft(p,in,out);
+    }
+    inline static void fftw_destroy_plan(const FFTW_plan p) {
+      ::fftw_destroy_plan(p);
+    }
+  };
+
+  template<> struct FFTW<ComplexF> {
+  public:
+
+    typedef fftwf_complex FFTW_scalar;
+    typedef fftwf_plan    FFTW_plan;
+
+    static FFTW_plan fftw_plan_many_dft(int rank, const int *n,int howmany,
+					FFTW_scalar *in, const int *inembed,		
+					int istride, int idist,		
+					FFTW_scalar *out, const int *onembed,		
+					int ostride, int odist,		
+					int sign, unsigned flags) {
+      return ::fftwf_plan_many_dft(rank,n,howmany,in,inembed,istride,idist,out,onembed,ostride,odist,sign,flags);
+    }	  
+    
+    static void fftw_flops(const FFTW_plan p,double *add, double *mul, double *fmas){
+      ::fftwf_flops(p,add,mul,fmas);
+    }
+
+    inline static void fftw_execute_dft(const FFTW_plan p,FFTW_scalar *in,FFTW_scalar *out) {
+      ::fftwf_execute_dft(p,in,out);
+    }
+    inline static void fftw_destroy_plan(const FFTW_plan p) {
+      ::fftwf_destroy_plan(p);
+    }
+  };
+
+#endif
 
 #ifndef FFTW_FORWARD
 #define FFTW_FORWARD (-1)
 #define FFTW_BACKWARD (+1)
-#define FFTW_ESTIMATE (0)
 #endif
 
-template<class scalar> struct FFTW {
+  class FFT {
-};
+  private:
     
-#ifdef GRID_HIP
+    GridCartesian *vgrid;
-template<> struct FFTW<ComplexD> {
+    GridCartesian *sgrid;
-public:
-  static const int forward=FFTW_FORWARD;
-  static const int backward=FFTW_BACKWARD;
-  typedef hipfftDoubleComplex FFTW_scalar;
-  typedef hipfftHandle        FFTW_plan;
-  static FFTW_plan fftw_plan_many_dft(int rank, int *n,int howmany,
-				      FFTW_scalar *in, int *inembed,
-				      int istride, int idist,
-				      FFTW_scalar *out, int *onembed,
-				      int ostride, int odist,
-				      int sign, unsigned flags) {
-    FFTW_plan p;
-    auto rv = hipfftPlanMany(&p,rank,n,n,istride,idist,n,ostride,odist,HIPFFT_Z2Z,howmany);
-    GRID_ASSERT(rv==HIPFFT_SUCCESS);
-    return p;
-  }
-  inline static void fftw_execute_dft(const FFTW_plan p,FFTW_scalar *in,FFTW_scalar *out, int sign) {
-    hipfftResult rv;
-    if ( sign == forward ) rv =hipfftExecZ2Z(p,in,out,HIPFFT_FORWARD);
-    else                   rv =hipfftExecZ2Z(p,in,out,HIPFFT_BACKWARD);
-    accelerator_barrier();
-    GRID_ASSERT(rv==HIPFFT_SUCCESS);
-  }
-  inline static void fftw_destroy_plan(const FFTW_plan p) { hipfftDestroy(p); }
-};
-template<> struct FFTW<ComplexF> {
-public:
-  static const int forward=FFTW_FORWARD;
-  static const int backward=FFTW_BACKWARD;
-  typedef hipfftComplex FFTW_scalar;
-  typedef hipfftHandle  FFTW_plan;
-  static FFTW_plan fftw_plan_many_dft(int rank, int *n,int howmany,
-				      FFTW_scalar *in, int *inembed,
-				      int istride, int idist,
-				      FFTW_scalar *out, int *onembed,
-				      int ostride, int odist,
-				      int sign, unsigned flags) {
-    FFTW_plan p;
-    auto rv = hipfftPlanMany(&p,rank,n,n,istride,idist,n,ostride,odist,HIPFFT_C2C,howmany);
-    GRID_ASSERT(rv==HIPFFT_SUCCESS);
-    return p;
-  }
-  inline static void fftw_execute_dft(const FFTW_plan p,FFTW_scalar *in,FFTW_scalar *out, int sign) {
-    hipfftResult rv;
-    if ( sign == forward ) rv =hipfftExecC2C(p,in,out,HIPFFT_FORWARD);
-    else                   rv =hipfftExecC2C(p,in,out,HIPFFT_BACKWARD);
-    accelerator_barrier();
-    GRID_ASSERT(rv==HIPFFT_SUCCESS);
-  }
-  inline static void fftw_destroy_plan(const FFTW_plan p) { hipfftDestroy(p); }
-};
-#endif
     
-#ifdef GRID_CUDA
+    int Nd;
-template<> struct FFTW<ComplexD> {
+    double flops;
-public:
+    double flops_call;
-  static const int forward=FFTW_FORWARD;
+    uint64_t usec;
-  static const int backward=FFTW_BACKWARD;
-  typedef cufftDoubleComplex FFTW_scalar;
-  typedef cufftHandle        FFTW_plan;
-  static FFTW_plan fftw_plan_many_dft(int rank, int *n,int howmany,
-				      FFTW_scalar *in, int *inembed,
-				      int istride, int idist,
-				      FFTW_scalar *out, int *onembed,
-				      int ostride, int odist,
-				      int sign, unsigned flags) {
-    FFTW_plan p;
-    cufftPlanMany(&p,rank,n,n,istride,idist,n,ostride,odist,CUFFT_Z2Z,howmany);
-    return p;
-  }
-  inline static void fftw_execute_dft(const FFTW_plan p,FFTW_scalar *in,FFTW_scalar *out, int sign) {
-    if ( sign == forward ) cufftExecZ2Z(p,in,out,CUFFT_FORWARD);
-    else                   cufftExecZ2Z(p,in,out,CUFFT_INVERSE);
-    accelerator_barrier();
-  }
-  inline static void fftw_destroy_plan(const FFTW_plan p) { cufftDestroy(p); }
-};
-template<> struct FFTW<ComplexF> {
-public:
-  static const int forward=FFTW_FORWARD;
-  static const int backward=FFTW_BACKWARD;
-  typedef cufftComplex FFTW_scalar;
-  typedef cufftHandle  FFTW_plan;
-  static FFTW_plan fftw_plan_many_dft(int rank, int *n,int howmany,
-				      FFTW_scalar *in, int *inembed,
-				      int istride, int idist,
-				      FFTW_scalar *out, int *onembed,
-				      int ostride, int odist,
-				      int sign, unsigned flags) {
-    FFTW_plan p;
-    cufftPlanMany(&p,rank,n,n,istride,idist,n,ostride,odist,CUFFT_C2C,howmany);
-    return p;
-  }
-  inline static void fftw_execute_dft(const FFTW_plan p,FFTW_scalar *in,FFTW_scalar *out, int sign) {
-    if ( sign == forward ) cufftExecC2C(p,in,out,CUFFT_FORWARD);
-    else                   cufftExecC2C(p,in,out,CUFFT_INVERSE);
-    accelerator_barrier();
-  }
-  inline static void fftw_destroy_plan(const FFTW_plan p) { cufftDestroy(p); }
-};
-#endif
     
-#if !defined(GRID_CUDA) && !defined(GRID_HIP)
+    std::vector<int> dimensions;
-#ifdef HAVE_FFTW
+    std::vector<int> processors;
-template<> struct FFTW<ComplexD> {
+    std::vector<int> processor_coor;
-public:
-  typedef fftw_complex FFTW_scalar;
-  typedef fftw_plan    FFTW_plan;
-  static FFTW_plan fftw_plan_many_dft(int rank, int *n,int howmany,
-				      FFTW_scalar *in, int *inembed,
-				      int istride, int idist,
-				      FFTW_scalar *out, int *onembed,
-				      int ostride, int odist,
-				      int sign, unsigned flags) {
-    return ::fftw_plan_many_dft(rank,n,howmany,in,inembed,istride,idist,out,onembed,ostride,odist,sign,flags);
-  }
-  inline static void fftw_execute_dft(const FFTW_plan p,FFTW_scalar *in,FFTW_scalar *out, int sign) {
-    ::fftw_execute_dft(p,in,out);
-  }
-  inline static void fftw_destroy_plan(const FFTW_plan p) { ::fftw_destroy_plan(p); }
-};
-template<> struct FFTW<ComplexF> {
-public:
-  typedef fftwf_complex FFTW_scalar;
-  typedef fftwf_plan    FFTW_plan;
-  static FFTW_plan fftw_plan_many_dft(int rank, int *n,int howmany,
-				      FFTW_scalar *in, int *inembed,
-				      int istride, int idist,
-				      FFTW_scalar *out, int *onembed,
-				      int ostride, int odist,
-				      int sign, unsigned flags) {
-    return ::fftwf_plan_many_dft(rank,n,howmany,in,inembed,istride,idist,out,onembed,ostride,odist,sign,flags);
-  }
-  inline static void fftw_execute_dft(const FFTW_plan p,FFTW_scalar *in,FFTW_scalar *out, int sign) {
-    ::fftwf_execute_dft(p,in,out);
-  }
-  inline static void fftw_destroy_plan(const FFTW_plan p) { ::fftwf_destroy_plan(p); }
-};
-#endif
-#endif
     
-struct FFTbase {
+  public:
-  double        flops;
-  double        flops_call;
-  uint64_t      usec;
-  GridCartesian *_grid;
     
-  static const int forward  = FFTW_FORWARD;
+    static const int forward=FFTW_FORWARD;
-  static const int backward = FFTW_BACKWARD;
+    static const int backward=FFTW_BACKWARD;
     
-  double Flops(void)  { return flops; }
+    double Flops(void) {return flops;}
-  double MFlops(void) { return flops / usec; }
+    double MFlops(void) {return flops/usec;}
-  double USec(void)   { return (double)usec; }
+    double USec(void)   {return (double)usec;}    
 
-  FFTbase(GridCartesian *grid) : _grid(grid), flops(0), flops_call(0), usec(0) {}
+    FFT ( GridCartesian * grid ) :
-};
+    vgrid(grid),
-
+    Nd(grid->_ndimension),
-// Barrel-shift gather, FFT execute, and insert. Called by both FFT and PlannedFFT.
+    dimensions(grid->_fdimensions),
-// The caller is responsible for plan acquisition and destruction.
+    processors(grid->_processors),
-template<class vobj>
+    processor_coor(grid->_processor_coor)
-static void FFT_dim_execute(
-    Lattice<vobj>       &result,
-    const Lattice<vobj> &source,
-    int dim, int sign,
-    typename FFTW<typename vobj::scalar_type>::FFTW_plan p,
-    GridCartesian *grid,
-    double &flops, double &flops_call, uint64_t &usec)
-{
-  typedef typename vobj::scalar_type   scalar;
-  typedef typename vobj::scalar_object sobj;
-  typedef typename vobj::scalar_type   scalar_type;
-  typedef typename vobj::vector_type   vector_type;
-  typedef typename FFTW<scalar>::FFTW_scalar FFTW_scalar;
-
-  const int Ndim = grid->Nd();
-  int L = grid->_ldimensions[dim];
-  int G = grid->_fdimensions[dim];
-  int Ncomp = sizeof(sobj) / sizeof(scalar);
-  int64_t Nlow = 1, Nhigh = 1;
-  for (int d = 0; d < dim;      d++) Nlow  *= grid->_ldimensions[d];
-  for (int d = dim+1; d < Ndim; d++) Nhigh *= grid->_ldimensions[d];
-  int64_t Nperp = Nlow * Nhigh;
-
-  deviceVector<scalar> pgbuf(Nperp * Ncomp * G);
-  scalar *pgbuf_v = &pgbuf[0];
-  int howmany = Ncomp * Nperp;
-
-  scalar div;
-  if      (sign == FFTW_BACKWARD) div = 1.0 / G;
-  else if (sign == FFTW_FORWARD)  div = 1.0;
-  else GRID_ASSERT(0);
-
-  double t_pencil = 0, t_fft = 0, t_copy = 0, t_shift = 0;
-  double t_total  = -usecond();
-
-  result = source;
-  int pc = grid->_processor_coor[dim];
-
-  const Coordinate ldims      = grid->_ldimensions;
-  const Coordinate rdims      = grid->_rdimensions;
-  const Coordinate sdims      = grid->_simd_layout;
-  const Coordinate processors = grid->_processors;
-
-  Coordinate pgdims(Ndim);
-  pgdims[0] = G;
-  for (int d = 0, dd = 1; d < Ndim; d++)
-    if (d != dim) pgdims[dd++] = ldims[d];
-  int64_t pgvol = 1;
-  for (int d = 0; d < Ndim; d++) pgvol *= pgdims[d];
-
-  const int Nsimd = vobj::Nsimd();
-  t_pencil = -usecond();
-  for (int p_idx = 0; p_idx < processors[dim]; p_idx++) {
-    t_copy -= usecond();
-    autoView(r_v, result, AcceleratorRead);
-    accelerator_for(idx, grid->oSites(), vobj::Nsimd(), {
-#ifdef GRID_SIMT
     {
-      int lane = acceleratorSIMTlane(Nsimd);
+      flops=0;
-#else
+      usec =0;
-    for (int lane = 0; lane < Nsimd; lane++) {
+      std::vector<int> layout(Nd,1);
-#endif
+      sgrid = new GridCartesian(dimensions,layout,processors);
-      Coordinate icoor, ocoor, pgcoor;
+    };
-      Lexicographic::CoorFromIndex(icoor, lane, sdims);
+    
-      Lexicographic::CoorFromIndex(ocoor, idx,  rdims);
+    ~FFT ( void)  {
-      pgcoor[0] = ocoor[dim] + icoor[dim]*rdims[dim] + ((pc+p_idx)%processors[dim])*L;
+      delete sgrid;
-      for (int d = 0, dd = 1; d < Ndim; d++)
+    }
-        if (d != dim) { pgcoor[dd] = ocoor[d] + icoor[d]*rdims[d]; dd++; }
+    
-      int64_t pgidx;
+    template<class vobj>
-      Lexicographic::IndexFromCoor(pgcoor, pgidx, pgdims);
+    void FFT_dim_mask(Lattice<vobj> &result,const Lattice<vobj> &source,std::vector<int> mask,int sign){
-      vector_type *from = (vector_type *)&r_v[idx];
+
-      scalar_type  stmp;
+      conformable(result._grid,vgrid);
-      for (int w = 0; w < Ncomp; w++) {
+      conformable(source._grid,vgrid);
-        stmp = getlane(from[w], lane);
+      Lattice<vobj> tmp(vgrid);
-        pgbuf_v[pgidx + w*pgvol] = stmp;
+      tmp = source;
+      for(int d=0;d<Nd;d++){
+	if( mask[d] ) {
+	  FFT_dim(result,tmp,d,sign);
+	  tmp=result;
+	}
       }
-#ifdef GRID_SIMT
     }
+
+    template<class vobj>
+    void FFT_all_dim(Lattice<vobj> &result,const Lattice<vobj> &source,int sign){
+      std::vector<int> mask(Nd,1);
+      FFT_dim_mask(result,source,mask,sign);
+    }
+
+
+    template<class vobj>
+    void FFT_dim(Lattice<vobj> &result,const Lattice<vobj> &source,int dim, int sign){
+#ifndef HAVE_FFTW
+      assert(0);
 #else
-    }
+      conformable(result._grid,vgrid);
-#endif
+      conformable(source._grid,vgrid);
-    });
-    t_copy += usecond();
-    if (p_idx != processors[dim] - 1) {
-      Lattice<vobj> temp(grid);
-      t_shift -= usecond();
-      temp = Cshift(result, dim, L); result = temp;
-      t_shift += usecond();
-    }
-  }
-  t_pencil += usecond();
 
-  FFTW_scalar *in  = (FFTW_scalar *)pgbuf_v;
+      int L = vgrid->_ldimensions[dim];
-  FFTW_scalar *out = (FFTW_scalar *)pgbuf_v;
+      int G = vgrid->_fdimensions[dim];
-  t_fft = -usecond();
-  FFTW<scalar>::fftw_execute_dft(p, in, out, sign);
-  t_fft += usecond();
       
-  flops_call = 5.0 * howmany * G * log2(G);
+      std::vector<int> layout(Nd,1);
-  usec  = t_fft;
+      std::vector<int> pencil_gd(vgrid->_fdimensions);
-  flops = flops_call;
       
-  result = Zero();
+      pencil_gd[dim] = G*processors[dim];
-  double t_insert = -usecond();
+      
-  {
+      // Pencil global vol LxLxGxLxL per node
-    autoView(r_v, result, AcceleratorWrite);
+      GridCartesian pencil_g(pencil_gd,layout,processors);
-    accelerator_for(idx, grid->oSites(), Nsimd, {
+      
-#ifdef GRID_SIMT
+      // Construct pencils
-    {
+      typedef typename vobj::scalar_object sobj;
-      int lane = acceleratorSIMTlane(Nsimd);
+      typedef typename sobj::scalar_type   scalar;
-#else
+      
-    for (int lane = 0; lane < Nsimd; lane++) {
+      Lattice<sobj> pgbuf(&pencil_g);
-#endif
+      
-      Coordinate icoor(Ndim), ocoor(Ndim), pgcoor(Ndim);
+
-      Lexicographic::CoorFromIndex(icoor, lane, sdims);
+      typedef typename FFTW<scalar>::FFTW_scalar FFTW_scalar;
-      Lexicographic::CoorFromIndex(ocoor, idx,  rdims);
+      typedef typename FFTW<scalar>::FFTW_plan   FFTW_plan;
-      pgcoor[0] = ocoor[dim] + icoor[dim]*rdims[dim] + pc*L;
+      
-      for (int d = 0, dd = 1; d < Ndim; d++)
+      int Ncomp = sizeof(sobj)/sizeof(scalar);
-        if (d != dim) { pgcoor[dd] = ocoor[d] + icoor[d]*rdims[d]; dd++; }
+      int Nlow  = 1;
-      int64_t pgidx;
+      for(int d=0;d<dim;d++){
-      Lexicographic::IndexFromCoor(pgcoor, pgidx, pgdims);
+        Nlow*=vgrid->_ldimensions[d];
-      vector_type *to  = (vector_type *)&r_v[idx];
-      scalar_type  stmp;
-      for (int w = 0; w < Ncomp; w++) {
-        stmp = pgbuf_v[pgidx + w*pgvol];
-        putlane(to[w], stmp, lane);
       }
-#ifdef GRID_SIMT
-    }
-#else
-    }
-#endif
-    });
-  }
-  result = result * div;
-  t_insert += usecond();
-  t_total  += usecond();
       
-  std::cout << GridLogPerformance << " FFT took   " << t_total/1.0e6  << " s" << std::endl;
+      int rank = 1;  /* 1d transforms */
-  std::cout << GridLogPerformance << " FFT pencil " << t_pencil/1.0e6 << " s" << std::endl;
+      int n[] = {G}; /* 1d transforms of length G */
-  std::cout << GridLogPerformance << "  of which copy " << t_copy/1.0e6  << " s" << std::endl;
+      int howmany = Ncomp;
-  std::cout << GridLogPerformance << "  of which shift" << t_shift/1.0e6 << " s" << std::endl;
+      int odist,idist,istride,ostride;
-  std::cout << GridLogPerformance << " FFT kernels " << t_fft/1.0e6    << " s" << std::endl;
+      idist   = odist   = 1;          /* Distance between consecutive FT's */
-  std::cout << GridLogPerformance << " FFT insert  " << t_insert/1.0e6 << " s" << std::endl;
+      istride = ostride = Ncomp*Nlow; /* distance between two elements in the same FT */
+      int *inembed = n, *onembed = n;
+      
+      scalar div;
+	  if ( sign == backward ) div = 1.0/G;
+	  else if ( sign == forward ) div = 1.0;
+	  else assert(0);
+      
+      FFTW_plan p;
+      {
+        FFTW_scalar *in = (FFTW_scalar *)&pgbuf._odata[0];
+        FFTW_scalar *out= (FFTW_scalar *)&pgbuf._odata[0];
+        p = FFTW<scalar>::fftw_plan_many_dft(rank,n,howmany,
+                                             in,inembed,
+                                             istride,idist,
+                                             out,onembed,
+                                             ostride, odist,
+                                             sign,FFTW_ESTIMATE);
+      }
+      
+      // Barrel shift and collect global pencil
+      std::vector<int> lcoor(Nd), gcoor(Nd);
+      result = source;
+      int pc = processor_coor[dim];
+      for(int p=0;p<processors[dim];p++) {
+        PARALLEL_REGION
+        {
+          std::vector<int> cbuf(Nd);
+          sobj s;
+          
+          PARALLEL_FOR_LOOP_INTERN
+          for(int idx=0;idx<sgrid->lSites();idx++) {
+            sgrid->LocalIndexToLocalCoor(idx,cbuf);
+            peekLocalSite(s,result,cbuf);
+	    cbuf[dim]+=((pc+p) % processors[dim])*L;
+	    //            cbuf[dim]+=p*L;
+            pokeLocalSite(s,pgbuf,cbuf);
+          }
+        }
+        if (p != processors[dim] - 1)
+        {
+          result = Cshift(result,dim,L);
+        }
+      }
+      
+      // Loop over orthog coords
+      int NN=pencil_g.lSites();
+      GridStopWatch timer;
+      timer.Start();
+      PARALLEL_REGION
+      {
+        std::vector<int> cbuf(Nd);
+        
+        PARALLEL_FOR_LOOP_INTERN
+        for(int idx=0;idx<NN;idx++) {
+          pencil_g.LocalIndexToLocalCoor(idx, cbuf);
+          if ( cbuf[dim] == 0 ) {  // restricts loop to plane at lcoor[dim]==0
+            FFTW_scalar *in = (FFTW_scalar *)&pgbuf._odata[idx];
+            FFTW_scalar *out= (FFTW_scalar *)&pgbuf._odata[idx];
+            FFTW<scalar>::fftw_execute_dft(p,in,out);
+          }
+        }
+      }
+      timer.Stop();
+      
+      // performance counting
+      double add,mul,fma;
+      FFTW<scalar>::fftw_flops(p,&add,&mul,&fma);
+      flops_call = add+mul+2.0*fma;
+      usec += timer.useconds();
+      flops+= flops_call*NN;
+      
+      // writing out result
+      PARALLEL_REGION
+      {
+        std::vector<int> clbuf(Nd), cgbuf(Nd);
+        sobj s;
+        
+        PARALLEL_FOR_LOOP_INTERN
+        for(int idx=0;idx<sgrid->lSites();idx++) {
+          sgrid->LocalIndexToLocalCoor(idx,clbuf);
+          cgbuf = clbuf;
+          cgbuf[dim] = clbuf[dim]+L*pc;
+          peekLocalSite(s,pgbuf,cgbuf);
+          pokeLocalSite(s,result,clbuf);
+        }
+      }
+      result = result*div;
+      
+      // destroying plan
+      FFTW<scalar>::fftw_destroy_plan(p);
+#endif
+    }
+  };
 }
 
-class FFT : public FFTbase {
-public:
-  FFT(GridCartesian *grid) : FFTbase(grid) {}
-  ~FFT() {}
-
-  template<class vobj>
-  void FFT_dim_mask(Lattice<vobj> &result, const Lattice<vobj> &source, Coordinate mask, int sign) {
-    const int Ndim = _grid->Nd();
-    Lattice<vobj> tmp = source;
-    for (int d = 0; d < Ndim; d++) {
-      if (mask[d]) {
-        FFT_dim(result, tmp, d, sign);
-        tmp = result;
-      }
-    }
-  }
-
-  template<class vobj>
-  void FFT_all_dim(Lattice<vobj> &result, const Lattice<vobj> &source, int sign) {
-    Coordinate mask(_grid->Nd(), 1);
-    FFT_dim_mask(result, source, mask, sign);
-  }
-
-  template<class vobj>
-  void FFT_dim(Lattice<vobj> &result, const Lattice<vobj> &source, int dim, int sign) {
-    GRID_ASSERT(source.Grid() == _grid);
-    GRID_ASSERT(result.Grid() == _grid);
-    conformable(result.Grid(), source.Grid());
-
-    typedef typename vobj::scalar_type   scalar;
-    typedef typename vobj::scalar_object sobj;
-    typedef typename FFTW<scalar>::FFTW_scalar FFTW_scalar;
-    typedef typename FFTW<scalar>::FFTW_plan   FFTW_plan;
-
-    const int Ndim = _grid->Nd();
-    int G     = _grid->_fdimensions[dim];
-    int Ncomp = sizeof(sobj) / sizeof(scalar);
-    int64_t Nperp = 1;
-    for (int d = 0; d < Ndim; d++)
-      if (d != dim) Nperp *= _grid->_ldimensions[d];
-    int n[]     = {G};
-    int howmany = Ncomp * Nperp;
-
-    deviceVector<scalar> dummy(2);
-    FFTW_scalar *buf = (FFTW_scalar *)&dummy[0];
-    FFTW_plan p = FFTW<scalar>::fftw_plan_many_dft(1, n, howmany,
-                                                    buf, n, 1, G,
-                                                    buf, n, 1, G,
-                                                    sign, FFTW_ESTIMATE);
-    FFT_dim_execute(result, source, dim, sign, p, _grid, flops, flops_call, usec);
-    FFTW<scalar>::fftw_destroy_plan(p);
-  }
-};
-
-template<class vobj>
-class PlannedFFT : public FFTbase {
-private:
-  typedef typename vobj::scalar_type   scalar;
-  typedef typename vobj::scalar_object sobj;
-  typedef typename vobj::vector_type   vector_type;
-  typedef typename FFTW<scalar>::FFTW_scalar FFTW_scalar;
-  typedef typename FFTW<scalar>::FFTW_plan   FFTW_plan;
-
-  std::vector<FFTW_plan> forward_plans;
-  std::vector<FFTW_plan> backward_plans;
-
-  void PlanCreate() {
-    const int Ndim = _grid->Nd();
-    forward_plans.resize(Ndim);
-    backward_plans.resize(Ndim);
-
-    for (int d = 0; d < Ndim; d++) {
-      int G       = _grid->_fdimensions[d];
-      int Ncomp   = sizeof(sobj) / sizeof(scalar);
-      int64_t Nperp = 1;
-      for (int dd = 0; dd < Ndim; dd++)
-        if (dd != d) Nperp *= _grid->_ldimensions[dd];
-      int howmany = Ncomp * (int)Nperp;
-      int n[]     = {G};
-
-      deviceVector<scalar> dummy(2);
-      FFTW_scalar *buf = (FFTW_scalar *)&dummy[0];
-
-      forward_plans[d]  = FFTW<scalar>::fftw_plan_many_dft(1, n, howmany, buf, n, 1, G, buf, n, 1, G, FFTW_FORWARD,  FFTW_ESTIMATE);
-      backward_plans[d] = FFTW<scalar>::fftw_plan_many_dft(1, n, howmany, buf, n, 1, G, buf, n, 1, G, FFTW_BACKWARD, FFTW_ESTIMATE);
-    }
-  }
-
-  void PlanDestroy() {
-    for (auto p : forward_plans)  FFTW<scalar>::fftw_destroy_plan(p);
-    for (auto p : backward_plans) FFTW<scalar>::fftw_destroy_plan(p);
-    forward_plans.clear();
-    backward_plans.clear();
-  }
-
-public:
-  PlannedFFT(GridCartesian *grid) : FFTbase(grid) { PlanCreate(); }
-  ~PlannedFFT() { PlanDestroy(); }
-
-  void FFT_dim_mask(Lattice<vobj> &result, const Lattice<vobj> &source, Coordinate mask, int sign) {
-    const int Ndim = _grid->Nd();
-    Lattice<vobj> tmp = source;
-    for (int d = 0; d < Ndim; d++) {
-      if (mask[d]) {
-        FFT_dim(result, tmp, d, sign);
-        tmp = result;
-      }
-    }
-  }
-
-  void FFT_all_dim(Lattice<vobj> &result, const Lattice<vobj> &source, int sign) {
-    Coordinate mask(_grid->Nd(), 1);
-    FFT_dim_mask(result, source, mask, sign);
-  }
-
-  void FFT_dim(Lattice<vobj> &result, const Lattice<vobj> &source, int dim, int sign) {
-    GRID_ASSERT(source.Grid() == _grid);
-    GRID_ASSERT(result.Grid() == _grid);
-    GRID_ASSERT((int)forward_plans.size() == _grid->Nd());
-    conformable(result.Grid(), source.Grid());
-    FFTW_plan p = (sign == forward ? forward_plans : backward_plans)[dim];
-    FFT_dim_execute(result, source, dim, sign, p, _grid, flops, flops_call, usec);
-  }
-};
-
-NAMESPACE_END(Grid);
-
 #endif

Grid/algorithms/Preconditioner.h

@@ -1,4 +1,4 @@
-/*************************************************************************************
+    /*************************************************************************************
 
     Grid physics library, www.github.com/paboyle/Grid 
 
@@ -23,30 +23,24 @@ Author: Azusa Yamaguchi <ayamaguc@staffmail.ed.ac.uk>
     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 */
+    /*  END LEGAL */
 #ifndef GRID_PRECONDITIONER_H
 #define GRID_PRECONDITIONER_H
 
-NAMESPACE_BEGIN(Grid);
+namespace Grid {
 
-template<class Field> using Preconditioner =  LinearFunction<Field> ;
+  template<class Field> class Preconditioner :  public LinearFunction<Field> { 
+    virtual void operator()(const Field &src, Field & psi)=0;
+  };
 
-/*
+  template<class Field> class TrivialPrecon :  public Preconditioner<Field> { 
-template<class Field> class Preconditioner :  public LinearFunction<Field> {
+  public:
-  using LinearFunction<Field>::operator();
+    void operator()(const Field &src, Field & psi){
-  virtual void operator()(const Field &src, Field & psi)=0;
+      psi = src;
-};
+    }
-*/
+    TrivialPrecon(void){};
+  };
 
-template<class Field> class TrivialPrecon :  public Preconditioner<Field> { 
+}
-public:
-  using Preconditioner<Field>::operator();
-  virtual void operator()(const Field &src, Field & psi){
-    psi = src;
-  }
-  TrivialPrecon(void){};
-};
-
-NAMESPACE_END(Grid);
 #endif

Grid/algorithms/SparseMatrix.h

@@ -1,4 +1,4 @@
-/*************************************************************************************
+    /*************************************************************************************
 
     Grid physics library, www.github.com/paboyle/Grid 
 
@@ -23,64 +23,49 @@ Author: Peter Boyle <paboyle@ph.ed.ac.uk>
     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 */
+    /*  END LEGAL */
 #ifndef  GRID_ALGORITHM_SPARSE_MATRIX_H
 #define  GRID_ALGORITHM_SPARSE_MATRIX_H
 
 
-NAMESPACE_BEGIN(Grid);
+namespace Grid {
 
-/////////////////////////////////////////////////////////////////////////////////////////////
+  /////////////////////////////////////////////////////////////////////////////////////////////
-// Interface defining what I expect of a general sparse matrix, such as a Fermion action
+  // Interface defining what I expect of a general sparse matrix, such as a Fermion action
-/////////////////////////////////////////////////////////////////////////////////////////////
+  /////////////////////////////////////////////////////////////////////////////////////////////
-template<class Field> class SparseMatrixBase {
+    template<class Field> class SparseMatrixBase {
-public:
+    public:
-  virtual GridBase *Grid(void) =0;
+      virtual GridBase *Grid(void) =0;
-  // Full checkerboar operations
+      // Full checkerboar operations
-  virtual void  M    (const Field &in, Field &out)=0;
+      virtual RealD M    (const Field &in, Field &out)=0;
-  virtual void  Mdag (const Field &in, Field &out)=0;
+      virtual RealD Mdag (const Field &in, Field &out)=0;
-  virtual void  MdagM(const Field &in, Field &out) {
+      virtual void  MdagM(const Field &in, Field &out,RealD &ni,RealD &no) {
-    Field tmp (in.Grid());
+	Field tmp (in._grid);
-    M(in,tmp);
+	ni=M(in,tmp);
-    Mdag(tmp,out);
+	no=Mdag(tmp,out);
-  }
+      }
-  virtual void  MMdag(const Field &in, Field &out) {
+      virtual  void Mdiag    (const Field &in, Field &out)=0;
-    Field tmp (in.Grid());
+      virtual  void Mdir     (const Field &in, Field &out,int dir, int disp)=0;
-    Mdag(in,tmp);
+    };
-    M(tmp,out);
-  }
-  virtual  void Mdiag    (const Field &in, Field &out)=0;
-  virtual  void Mdir     (const Field &in, Field &out,int dir, int disp)=0;
-  virtual  void MdirAll  (const Field &in, std::vector<Field> &out)=0;
-  virtual ~SparseMatrixBase() {};
-};
 
-/////////////////////////////////////////////////////////////////////////////////////////////
+  /////////////////////////////////////////////////////////////////////////////////////////////
-// Interface augmented by a red black sparse matrix, such as a Fermion action
+  // Interface augmented by a red black sparse matrix, such as a Fermion action
-/////////////////////////////////////////////////////////////////////////////////////////////
+  /////////////////////////////////////////////////////////////////////////////////////////////
-template<class Field> class CheckerBoardedSparseMatrixBase : public SparseMatrixBase<Field> {
+    template<class Field> class CheckerBoardedSparseMatrixBase : public SparseMatrixBase<Field> {
-public:
+    public:
-  virtual GridBase *RedBlackGrid(void)=0;
+      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;
-  // Query the even even properties to make algorithmic decisions
+      virtual  void MooeeDag    (const Field &in, Field &out)=0;
-  //////////////////////////////////////////////////////////////////////
+      virtual  void MooeeInvDag (const Field &in, Field &out)=0;
-  virtual RealD  Mass(void)        { return 0.0; };
-  virtual int    ConstEE(void)     { return 1; }; // Disable assumptions unless overridden
-  virtual int    isTrivialEE(void) { return 0; }; // by a derived class that knows better
 
-  // 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;
-  virtual ~CheckerBoardedSparseMatrixBase() {};
-};
-
-NAMESPACE_END(Grid);
 
 #endif

Grid/algorithms/approx/Chebyshev.h

@@ -1,4 +1,4 @@
-/*************************************************************************************
+    /*************************************************************************************
 
     Grid physics library, www.github.com/paboyle/Grid 
 
@@ -25,14 +25,14 @@ Author: Christoph Lehner <clehner@bnl.gov>
     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 */
+    /*  END LEGAL */
 #ifndef GRID_CHEBYSHEV_H
 #define GRID_CHEBYSHEV_H
 
 #include <Grid/algorithms/LinearOperator.h>
 
-NAMESPACE_BEGIN(Grid);
+namespace Grid {
 
 struct ChebyParams : Serializable {
   GRID_SERIALIZABLE_CLASS_MEMBERS(ChebyParams,
@@ -41,376 +41,337 @@ struct ChebyParams : Serializable {
 				  int, Npoly);
 };
 
-////////////////////////////////////////////////////////////////////////////////////////////
+  ////////////////////////////////////////////////////////////////////////////////////////////
-// Generic Chebyshev approximations
+  // Generic Chebyshev approximations
-////////////////////////////////////////////////////////////////////////////////////////////
+  ////////////////////////////////////////////////////////////////////////////////////////////
-template<class Field>
+  template<class Field>
-class Chebyshev : public OperatorFunction<Field> {
+  class Chebyshev : public OperatorFunction<Field> {
-private:
+  private:
-  using OperatorFunction<Field>::operator();
+    std::vector<RealD> Coeffs;
+    int order;
+    RealD hi;
+    RealD lo;
 
-  std::vector<RealD> Coeffs;
+  public:
-  int order;
+    void csv(std::ostream &out){
-  RealD hi;
+      RealD diff = hi-lo;
-  RealD lo;
+      RealD delta = (hi-lo)*1.0e-9;
-
+      for (RealD x=lo; x<hi; x+=delta) {
-public:
+	delta*=1.1;
-  void csv(std::ostream &out){
+	RealD f = approx(x);
-    RealD diff = hi-lo;
+	out<< x<<" "<<f<<std::endl;
-    RealD delta = diff*1.0e-9;
-    for (RealD x=lo; x<hi; x+=delta) {
-      delta*=1.02;
-      RealD f = approx(x);
-      out<< x<<" "<<f<<std::endl;
-    }
-    return;
-  }
-
-  // Convenience for plotting the approximation
-  void   PlotApprox(std::ostream &out) {
-    out<<"Polynomial approx ["<<lo<<","<<hi<<"]"<<std::endl;
-    for(RealD x=lo;x<hi;x+=(hi-lo)/50.0){
-      out <<x<<"\t"<<approx(x)<<std::endl;
-    }
-  };
-
-  Chebyshev(){};
-  Chebyshev(ChebyParams p){ Init(p.alpha,p.beta,p.Npoly);};
-  Chebyshev(RealD _lo,RealD _hi,int _order, RealD (* func)(RealD) ) {Init(_lo,_hi,_order,func);};
-  Chebyshev(RealD _lo,RealD _hi,int _order) {Init(_lo,_hi,_order);};
-
-  ////////////////////////////////////////////////////////////////////////////////////////////////////
-  // c.f. numerical recipes "chebft"/"chebev". This is sec 5.8 "Chebyshev approximation".
-  ////////////////////////////////////////////////////////////////////////////////////////////////////
-  // CJ: the one we need for Lanczos
-  void Init(RealD _lo,RealD _hi,int _order)
-  {
-    lo=_lo;
-    hi=_hi;
-    order=_order;
-      
-    if(order < 2) exit(-1);
-    Coeffs.resize(order,0.0);
-    Coeffs[order-1] = 1.0;
-  };
-  
-  // PB - more efficient low pass drops high modes above the low as 1/x uses all Chebyshev's.
-  // Similar kick effect below the threshold as Lanczos filter approach
-  void InitLowPass(RealD _lo,RealD _hi,int _order)
-  {
-    lo=_lo;
-    hi=_hi;
-    order=_order;
-      
-    if(order < 2) exit(-1);
-    Coeffs.resize(order);
-    for(int j=0;j<order;j++){
-      RealD k=(order-1.0);
-      RealD s=std::cos( j*M_PI*(k+0.5)/order );
-      Coeffs[j] = s * 2.0/order;
-    }
-    
-  };
-
-  void Init(RealD _lo,RealD _hi,int _order, RealD (* func)(RealD))
-  {
-    lo=_lo;
-    hi=_hi;
-    order=_order;
-      
-    if(order < 2) exit(-1);
-    Coeffs.resize(order);
-    for(int j=0;j<order;j++){
-      RealD s=0;
-      for(int k=0;k<order;k++){
-	RealD y=std::cos(M_PI*(k+0.5)/order);
-	RealD x=0.5*(y*(hi-lo)+(hi+lo));
-	RealD f=func(x);
-	s=s+f*std::cos( j*M_PI*(k+0.5)/order );
       }
-      Coeffs[j] = s * 2.0/order;
+      return;
     }
-  };
-  template<class functor>
-  void Init(RealD _lo,RealD _hi,int _order, functor & func)
-  {
-    lo=_lo;
-    hi=_hi;
-    order=_order;
 
-    if(order < 2) exit(-1);
+    // Convenience for plotting the approximation
-    Coeffs.resize(order);
+    void   PlotApprox(std::ostream &out) {
-    for(int j=0;j<order;j++){
+      out<<"Polynomial approx ["<<lo<<","<<hi<<"]"<<std::endl;
-      RealD s=0;
+      for(RealD x=lo;x<hi;x+=(hi-lo)/50.0){
-      for(int k=0;k<order;k++){
+	out <<x<<"\t"<<approx(x)<<std::endl;
-	RealD y=std::cos(M_PI*(k+0.5)/order);
-	RealD x=0.5*(y*(hi-lo)+(hi+lo));
-	RealD f=func(x);
-	s=s+f*std::cos( j*M_PI*(k+0.5)/order );
       }
-      Coeffs[j] = s * 2.0/order;
+    };
-    }
+
-  };
+    Chebyshev(){};
+    Chebyshev(ChebyParams p){ Init(p.alpha,p.beta,p.Npoly);};
+    Chebyshev(RealD _lo,RealD _hi,int _order, RealD (* func)(RealD) ) {Init(_lo,_hi,_order,func);};
+    Chebyshev(RealD _lo,RealD _hi,int _order) {Init(_lo,_hi,_order);};
+
+    ////////////////////////////////////////////////////////////////////////////////////////////////////
+    // c.f. numerical recipes "chebft"/"chebev". This is sec 5.8 "Chebyshev approximation".
+    ////////////////////////////////////////////////////////////////////////////////////////////////////
+// CJ: the one we need for Lanczos
+    void Init(RealD _lo,RealD _hi,int _order)
+    {
+      lo=_lo;
+      hi=_hi;
+      order=_order;
+      
+      if(order < 2) exit(-1);
+      Coeffs.resize(order);
+      Coeffs.assign(0.,order);
+      Coeffs[order-1] = 1.;
+    };
+
+    void Init(RealD _lo,RealD _hi,int _order, RealD (* func)(RealD))
+    {
+      lo=_lo;
+      hi=_hi;
+      order=_order;
+      
+      if(order < 2) exit(-1);
+      Coeffs.resize(order);
+      for(int j=0;j<order;j++){
+	RealD s=0;
+	for(int k=0;k<order;k++){
+	  RealD y=std::cos(M_PI*(k+0.5)/order);
+	  RealD x=0.5*(y*(hi-lo)+(hi+lo));
+	  RealD f=func(x);
+	  s=s+f*std::cos( j*M_PI*(k+0.5)/order );
+	}
+	Coeffs[j] = s * 2.0/order;
+      }
+    };
 
     
-  void JacksonSmooth(void){
+    void JacksonSmooth(void){
-    RealD M=order;
+      RealD M=order;
-    RealD alpha = M_PI/(M+2);
+      RealD alpha = M_PI/(M+2);
-    RealD lmax = std::cos(alpha);
+      RealD lmax = std::cos(alpha);
-    RealD sumUsq =0;
+      RealD sumUsq =0;
-    std::vector<RealD> U(M);
+      std::vector<RealD> U(M);
-    std::vector<RealD> a(M);
+      std::vector<RealD> a(M);
-    std::vector<RealD> g(M);
+      std::vector<RealD> g(M);
-    for(int n=0;n<=M;n++){
+      for(int n=0;n<=M;n++){
-      U[n] = std::sin((n+1)*std::acos(lmax))/std::sin(std::acos(lmax));
+	U[n] = std::sin((n+1)*std::acos(lmax))/std::sin(std::acos(lmax));
-      sumUsq += U[n]*U[n];
+	sumUsq += U[n]*U[n];
-    }      
+      }      
-    sumUsq = std::sqrt(sumUsq);
+      sumUsq = std::sqrt(sumUsq);
 
-    for(int i=1;i<=M;i++){
+      for(int i=1;i<=M;i++){
-      a[i] = U[i]/sumUsq;
+	a[i] = U[i]/sumUsq;
-    }
+      }
-    g[0] = 1.0;
+      g[0] = 1.0;
-    for(int m=1;m<=M;m++){
+      for(int m=1;m<=M;m++){
-      g[m] = 0;
+	g[m] = 0;
-      for(int i=0;i<=M-m;i++){
+	for(int i=0;i<=M-m;i++){
-	g[m]+= a[i]*a[m+i];
+	  g[m]+= a[i]*a[m+i];
+	}
+      }
+      for(int m=1;m<=M;m++){
+	Coeffs[m]*=g[m];
       }
     }
-    for(int m=1;m<=M;m++){
+    RealD approx(RealD x) // Convenience for plotting the approximation
-      Coeffs[m]*=g[m];
+    {
-    }
+      RealD Tn;
-  }
+      RealD Tnm;
-  RealD approx(RealD x) // Convenience for plotting the approximation
+      RealD Tnp;
-  {
-    RealD Tn;
-    RealD Tnm;
-    RealD Tnp;
       
-    RealD y=( x-0.5*(hi+lo))/(0.5*(hi-lo));
+      RealD y=( x-0.5*(hi+lo))/(0.5*(hi-lo));
       
-    RealD T0=1;
+      RealD T0=1;
-    RealD T1=y;
+      RealD T1=y;
       
-    RealD sum;
+      RealD sum;
-    sum = 0.5*Coeffs[0]*T0;
+      sum = 0.5*Coeffs[0]*T0;
-    sum+= Coeffs[1]*T1;
+      sum+= Coeffs[1]*T1;
       
-    Tn =T1;
+      Tn =T1;
-    Tnm=T0;
+      Tnm=T0;
-    for(int i=2;i<order;i++){
+      for(int i=2;i<order;i++){
-      Tnp=2*y*Tn-Tnm;
+	Tnp=2*y*Tn-Tnm;
-      Tnm=Tn;
+	Tnm=Tn;
-      Tn =Tnp;
+	Tn =Tnp;
-      sum+= Tn*Coeffs[i];
+	sum+= Tn*Coeffs[i];
-    }
+      }
-    return sum;
+      return sum;
-  };
+    };
 
-  RealD approxD(RealD x)
+    RealD approxD(RealD x)
-  {
+    {
-    RealD Un;
+      RealD Un;
-    RealD Unm;
+      RealD Unm;
-    RealD Unp;
+      RealD Unp;
       
-    RealD y=( x-0.5*(hi+lo))/(0.5*(hi-lo));
+      RealD y=( x-0.5*(hi+lo))/(0.5*(hi-lo));
       
-    RealD U0=1;
+      RealD U0=1;
-    RealD U1=2*y;
+      RealD U1=2*y;
       
-    RealD sum;
+      RealD sum;
-    sum = Coeffs[1]*U0;
+      sum = Coeffs[1]*U0;
-    sum+= Coeffs[2]*U1*2.0;
+      sum+= Coeffs[2]*U1*2.0;
       
-    Un =U1;
+      Un =U1;
-    Unm=U0;
+      Unm=U0;
-    for(int i=2;i<order-1;i++){
+      for(int i=2;i<order-1;i++){
-      Unp=2*y*Un-Unm;
+	Unp=2*y*Un-Unm;
-      Unm=Un;
+	Unm=Un;
-      Un =Unp;
+	Un =Unp;
-      sum+= Un*Coeffs[i+1]*(i+1.0);
+	sum+= Un*Coeffs[i+1]*(i+1.0);
-    }
+      }
-    return sum/(0.5*(hi-lo));
+      return sum/(0.5*(hi-lo));
-  };
+    };
     
-  RealD approxInv(RealD z, RealD x0, int maxiter, RealD resid) {
+    RealD approxInv(RealD z, RealD x0, int maxiter, RealD resid) {
-    RealD x = x0;
+      RealD x = x0;
-    RealD eps;
+      RealD eps;
       
-    int i;
+      int i;
-    for (i=0;i<maxiter;i++) {
+      for (i=0;i<maxiter;i++) {
-      eps = approx(x) - z;
+	eps = approx(x) - z;
-      if (fabs(eps / z) < resid)
+	if (fabs(eps / z) < resid)
-	return x;
+	  return x;
-      x = x - eps / approxD(x);
+	x = x - eps / approxD(x);
-    }
-      
-    return std::numeric_limits<double>::quiet_NaN();
-  }
-    
-  // Implement the required interface
-  void operator() (LinearOperatorBase<Field> &Linop, const Field &in, Field &out) {
-
-    GridBase *grid=in.Grid();
-
-    int vol=grid->gSites();
-    typedef typename Field::vector_type vector_type;
-
-    Field T0(grid); T0 = in;  
-    Field T1(grid); 
-    Field T2(grid);
-    Field y(grid);
-      
-    Field *Tnm = &T0;
-    Field *Tn  = &T1;
-    Field *Tnp = &T2;
-
-    // Tn=T1 = (xscale M + mscale)in
-    RealD xscale = 2.0/(hi-lo);
-    RealD mscale = -(hi+lo)/(hi-lo);
-    Linop.HermOp(T0,y);
-    grid->Barrier();
-    axpby(T1,xscale,mscale,y,in);
-    grid->Barrier();
-
-    // sum = .5 c[0] T0 + c[1] T1
-    //    out = ()*T0 + Coeffs[1]*T1;
-    axpby(out,0.5*Coeffs[0],Coeffs[1],T0,T1);
-    for(int n=2;n<order;n++){
-
-      Linop.HermOp(*Tn,y);
-      axpby(y,xscale,mscale,y,(*Tn));
-      axpby(*Tnp,2.0,-1.0,y,(*Tnm));
-      if ( Coeffs[n] != 0.0) {
-	axpy(out,Coeffs[n],*Tnp,out);
       }
       
-      // Cycle pointers to avoid copies
+      return std::numeric_limits<double>::quiet_NaN();
-      Field *swizzle = Tnm;
-      Tnm    =Tn;
-      Tn     =Tnp;
-      Tnp    =swizzle;
-	  
     }
-  }
+    
-};
+    // Implement the required interface
+    void operator() (LinearOperatorBase<Field> &Linop, const Field &in, Field &out) {
+
+      GridBase *grid=in._grid;
+
+      // std::cout << "Chevyshef(): in._grid="<<in._grid<<std::endl;
+      //std::cout <<" Linop.Grid()="<<Linop.Grid()<<"Linop.RedBlackGrid()="<<Linop.RedBlackGrid()<<std::endl;
+
+      int vol=grid->gSites();
+
+      Field T0(grid); T0 = in;  
+      Field T1(grid); 
+      Field T2(grid);
+      Field y(grid);
+      
+      Field *Tnm = &T0;
+      Field *Tn  = &T1;
+      Field *Tnp = &T2;
+
+      // Tn=T1 = (xscale M + mscale)in
+      RealD xscale = 2.0/(hi-lo);
+      RealD mscale = -(hi+lo)/(hi-lo);
+      Linop.HermOp(T0,y);
+      T1=y*xscale+in*mscale;
+
+      // sum = .5 c[0] T0 + c[1] T1
+      out = (0.5*Coeffs[0])*T0 + Coeffs[1]*T1;
+      for(int n=2;n<order;n++){
+	
+	Linop.HermOp(*Tn,y);
+
+	y=xscale*y+mscale*(*Tn);
+
+	*Tnp=2.0*y-(*Tnm);
+
+	out=out+Coeffs[n]* (*Tnp);
+
+	// Cycle pointers to avoid copies
+	Field *swizzle = Tnm;
+	Tnm    =Tn;
+	Tn     =Tnp;
+	Tnp    =swizzle;
+	  
+      }
+    }
+  };
 
 
-template<class Field>
+  template<class Field>
-class ChebyshevLanczos : public Chebyshev<Field> {
+  class ChebyshevLanczos : public Chebyshev<Field> {
-private:
+  private:
-  std::vector<RealD> Coeffs;
+    std::vector<RealD> Coeffs;
-  int order;
+    int order;
-  RealD alpha;
+    RealD alpha;
-  RealD beta;
+    RealD beta;
-  RealD mu;
+    RealD mu;
 
-public:
+  public:
-  ChebyshevLanczos(RealD _alpha,RealD _beta,RealD _mu,int _order) :
+    ChebyshevLanczos(RealD _alpha,RealD _beta,RealD _mu,int _order) :
     alpha(_alpha),
-    beta(_beta),
+      beta(_beta),
-    mu(_mu)
+          mu(_mu)
-  {
+    {
-    order=_order;
+      order=_order;
-    Coeffs.resize(order);
+      Coeffs.resize(order);
-    for(int i=0;i<_order;i++){
+      for(int i=0;i<_order;i++){
-      Coeffs[i] = 0.0;
+	Coeffs[i] = 0.0;
+      }
+      Coeffs[order-1]=1.0;
+    };
+
+    void csv(std::ostream &out){
+      for (RealD x=-1.2*alpha; x<1.2*alpha; x+=(2.0*alpha)/10000) {
+	RealD f = approx(x);
+	out<< x<<" "<<f<<std::endl;
+      }
+      return;
+    }
+
+    RealD approx(RealD xx) // Convenience for plotting the approximation
+    {
+      RealD Tn;
+      RealD Tnm;
+      RealD Tnp;
+      Real aa = alpha * alpha;
+      Real bb = beta  *  beta;
+      
+      RealD x = ( 2.0 * (xx-mu)*(xx-mu) - (aa+bb) ) / (aa-bb);
+
+      RealD y= x;
+      
+      RealD T0=1;
+      RealD T1=y;
+      
+      RealD sum;
+      sum = 0.5*Coeffs[0]*T0;
+      sum+= Coeffs[1]*T1;
+      
+      Tn =T1;
+      Tnm=T0;
+      for(int i=2;i<order;i++){
+	Tnp=2*y*Tn-Tnm;
+	Tnm=Tn;
+	Tn =Tnp;
+	sum+= Tn*Coeffs[i];
+      }
+      return sum;
+    };
+
+    // shift_Multiply in Rudy's code
+    void AminusMuSq(LinearOperatorBase<Field> &Linop, const Field &in, Field &out) 
+    {
+      GridBase *grid=in._grid;
+      Field tmp(grid);
+
+      RealD aa= alpha*alpha;
+      RealD bb= beta * beta;
+
+      Linop.HermOp(in,out);
+      out = out - mu*in;
+
+      Linop.HermOp(out,tmp);
+      tmp = tmp - mu * out;
+
+      out = (2.0/ (aa-bb) ) * tmp -  ((aa+bb)/(aa-bb))*in;
+    };
+    // Implement the required interface
+    void operator() (LinearOperatorBase<Field> &Linop, const Field &in, Field &out) {
+
+      GridBase *grid=in._grid;
+
+      int vol=grid->gSites();
+
+      Field T0(grid); T0 = in;  
+      Field T1(grid); 
+      Field T2(grid);
+      Field  y(grid);
+      
+      Field *Tnm = &T0;
+      Field *Tn  = &T1;
+      Field *Tnp = &T2;
+
+      // Tn=T1 = (xscale M )*in
+      AminusMuSq(Linop,T0,T1);
+
+      // sum = .5 c[0] T0 + c[1] T1
+      out = (0.5*Coeffs[0])*T0 + Coeffs[1]*T1;
+      for(int n=2;n<order;n++){
+	
+	AminusMuSq(Linop,*Tn,y);
+
+	*Tnp=2.0*y-(*Tnm);
+
+	out=out+Coeffs[n]* (*Tnp);
+
+	// Cycle pointers to avoid copies
+	Field *swizzle = Tnm;
+	Tnm    =Tn;
+	Tn     =Tnp;
+	Tnp    =swizzle;
+	  
+      }
     }
-    Coeffs[order-1]=1.0;
   };
-
+}
-  void csv(std::ostream &out){
-    for (RealD x=-1.2*alpha; x<1.2*alpha; x+=(2.0*alpha)/10000) {
-      RealD f = approx(x);
-      out<< x<<" "<<f<<std::endl;
-    }
-    return;
-  }
-
-  RealD approx(RealD xx) // Convenience for plotting the approximation
-  {
-    RealD Tn;
-    RealD Tnm;
-    RealD Tnp;
-    Real aa = alpha * alpha;
-    Real bb = beta  *  beta;
-      
-    RealD x = ( 2.0 * (xx-mu)*(xx-mu) - (aa+bb) ) / (aa-bb);
-
-    RealD y= x;
-      
-    RealD T0=1;
-    RealD T1=y;
-      
-    RealD sum;
-    sum = 0.5*Coeffs[0]*T0;
-    sum+= Coeffs[1]*T1;
-      
-    Tn =T1;
-    Tnm=T0;
-    for(int i=2;i<order;i++){
-      Tnp=2*y*Tn-Tnm;
-      Tnm=Tn;
-      Tn =Tnp;
-      sum+= Tn*Coeffs[i];
-    }
-    return sum;
-  };
-
-  // shift_Multiply in Rudy's code
-  void AminusMuSq(LinearOperatorBase<Field> &Linop, const Field &in, Field &out) 
-  {
-    GridBase *grid=in.Grid();
-    Field tmp(grid);
-
-    RealD aa= alpha*alpha;
-    RealD bb= beta * beta;
-
-    Linop.HermOp(in,out);
-    out = out - mu*in;
-
-    Linop.HermOp(out,tmp);
-    tmp = tmp - mu * out;
-
-    out = (2.0/ (aa-bb) ) * tmp -  ((aa+bb)/(aa-bb))*in;
-  };
-  // Implement the required interface
-  void operator() (LinearOperatorBase<Field> &Linop, const Field &in, Field &out) {
-
-    GridBase *grid=in.Grid();
-
-    int vol=grid->gSites();
-
-    Field T0(grid); T0 = in;  
-    Field T1(grid); 
-    Field T2(grid);
-    Field  y(grid);
-      
-    Field *Tnm = &T0;
-    Field *Tn  = &T1;
-    Field *Tnp = &T2;
-
-    // Tn=T1 = (xscale M )*in
-    AminusMuSq(Linop,T0,T1);
-
-    // sum = .5 c[0] T0 + c[1] T1
-    out = (0.5*Coeffs[0])*T0 + Coeffs[1]*T1;
-    for(int n=2;n<order;n++){
-	
-      AminusMuSq(Linop,*Tn,y);
-
-      *Tnp=2.0*y-(*Tnm);
-
-      out=out+Coeffs[n]* (*Tnp);
-
-      // Cycle pointers to avoid copies
-      Field *swizzle = Tnm;
-      Tnm    =Tn;
-      Tn     =Tnp;
-      Tnp    =swizzle;
-	  
-    }
-  }
-};
-NAMESPACE_END(Grid);
 #endif

Grid/algorithms/approx/Forecast.h

@@ -26,127 +26,127 @@ 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 */
+/*  END LEGAL */
 
 #ifndef INCLUDED_FORECAST_H
 #define INCLUDED_FORECAST_H
 
-NAMESPACE_BEGIN(Grid);
+namespace Grid {
 
-// Abstract base class.
+  // Abstract base class.
-// Takes a matrix (Mat), a source (phi), and a vector of Fields (chi)
+  // Takes a matrix (Mat), a source (phi), and a vector of Fields (chi)
-// and returns a forecasted solution to the system D*psi = phi (psi).
+  // and returns a forecasted solution to the system D*psi = phi (psi).
-template<class Matrix, class Field>
+  template<class Matrix, class Field>
-class Forecast
+  class Forecast
-{
-public:
-  virtual Field operator()(Matrix &Mat, const Field& phi, const std::vector<Field>& chi) = 0;
-};
-
-// Implementation of Brower et al.'s chronological inverter (arXiv:hep-lat/9509012),
-// used to forecast solutions across poles of the EOFA heatbath.
-//
-// Modified from CPS (cps_pp/src/util/dirac_op/d_op_base/comsrc/minresext.C)
-template<class Matrix, class Field>
-class ChronoForecast : public Forecast<Matrix,Field>
-{
-public:
-  Field operator()(Matrix &Mat, const Field& phi, const std::vector<Field>& prev_solns)
   {
-    int degree = prev_solns.size();
+    public:
-    Field chi(phi); // forecasted solution
+      virtual Field operator()(Matrix &Mat, const Field& phi, const std::vector<Field>& chi) = 0;
-
-    // Trivial cases
-    if(degree == 0){ chi = Zero(); return chi; }
-    else if(degree == 1){ return prev_solns[0]; }
-
-    //    RealD dot;
-    ComplexD xp;
-    Field r(phi); // residual
-    Field Mv(phi);
-    std::vector<Field> v(prev_solns); // orthonormalized previous solutions
-    std::vector<Field> MdagMv(degree,phi);
-
-    // Array to hold the matrix elements
-    std::vector<std::vector<ComplexD>> G(degree, std::vector<ComplexD>(degree));
-
-    // Solution and source vectors
-    std::vector<ComplexD> a(degree);
-    std::vector<ComplexD> b(degree);
-
-    // Orthonormalize the vector basis
-    for(int i=0; i<degree; i++){
-      v[i] *= 1.0/std::sqrt(norm2(v[i]));
-      for(int j=i+1; j<degree; j++){ v[j] -= innerProduct(v[i],v[j]) * v[i]; }
-    }
-
-    // Perform sparse matrix multiplication and construct rhs
-    for(int i=0; i<degree; i++){
-      b[i] = innerProduct(v[i],phi);
-      Mat.M(v[i],Mv);
-      Mat.Mdag(Mv,MdagMv[i]);
-      G[i][i] = innerProduct(v[i],MdagMv[i]);
-    }
-
-    // Construct the matrix
-    for(int j=0; j<degree; j++){
-      for(int k=j+1; k<degree; k++){
-	G[j][k] = innerProduct(v[j],MdagMv[k]);
-	G[k][j] = conjugate(G[j][k]);
-      }}
-
-    // Gauss-Jordan elimination with partial pivoting
-    for(int i=0; i<degree; i++){
-
-      // Perform partial pivoting
-      int k = i;
-      for(int j=i+1; j<degree; j++){ if(abs(G[j][j]) > abs(G[k][k])){ k = j; } }
-      if(k != i){
-	xp = b[k];
-	b[k] = b[i];
-	b[i] = xp;
-	for(int j=0; j<degree; j++){
-	  xp = G[k][j];
-	  G[k][j] = G[i][j];
-	  G[i][j] = xp;
-	}
-      }
-
-      // Convert matrix to upper triangular form
-      for(int j=i+1; j<degree; j++){
-	xp = G[j][i]/G[i][i];
-	b[j] -= xp * b[i];
-	for(int k=0; k<degree; k++){ G[j][k] -= xp*G[i][k]; }
-      }
-    }
-
-    // Use Gaussian elimination to solve equations and calculate initial guess
-    chi = Zero();
-    r = phi;
-    for(int i=degree-1; i>=0; i--){
-      a[i] = 0.0;
-      for(int j=i+1; j<degree; j++){ a[i] += G[i][j] * a[j]; }
-      a[i] = (b[i]-a[i])/G[i][i];
-      chi += a[i]*v[i];
-      r -= a[i]*MdagMv[i];
-    }
-
-    RealD true_r(0.0);
-    ComplexD tmp;
-    for(int i=0; i<degree; i++){
-      tmp = -b[i];
-      for(int j=0; j<degree; j++){ tmp += G[i][j]*a[j]; }
-      tmp = conjugate(tmp)*tmp;
-      true_r += std::sqrt(tmp.real());
-    }
-
-    RealD error = std::sqrt(norm2(r)/norm2(phi));
-    std::cout << GridLogMessage << "ChronoForecast: |res|/|src| = " << error << std::endl;
-
-    return chi;
   };
-};
 
-NAMESPACE_END(Grid);
+  // Implementation of Brower et al.'s chronological inverter (arXiv:hep-lat/9509012),
+  // used to forecast solutions across poles of the EOFA heatbath.
+  //
+  // Modified from CPS (cps_pp/src/util/dirac_op/d_op_base/comsrc/minresext.C)
+  template<class Matrix, class Field>
+  class ChronoForecast : public Forecast<Matrix,Field>
+  {
+    public:
+      Field operator()(Matrix &Mat, const Field& phi, const std::vector<Field>& prev_solns)
+      {
+        int degree = prev_solns.size();
+        Field chi(phi); // forecasted solution
+
+        // Trivial cases
+        if(degree == 0){ chi = zero; return chi; }
+        else if(degree == 1){ return prev_solns[0]; }
+
+        RealD dot;
+        ComplexD xp;
+        Field r(phi); // residual
+        Field Mv(phi);
+        std::vector<Field> v(prev_solns); // orthonormalized previous solutions
+        std::vector<Field> MdagMv(degree,phi);
+
+        // Array to hold the matrix elements
+        std::vector<std::vector<ComplexD>> G(degree, std::vector<ComplexD>(degree));
+
+        // Solution and source vectors
+        std::vector<ComplexD> a(degree);
+        std::vector<ComplexD> b(degree);
+
+        // Orthonormalize the vector basis
+        for(int i=0; i<degree; i++){
+          v[i] *= 1.0/std::sqrt(norm2(v[i]));
+          for(int j=i+1; j<degree; j++){ v[j] -= innerProduct(v[i],v[j]) * v[i]; }
+        }
+
+        // Perform sparse matrix multiplication and construct rhs
+        for(int i=0; i<degree; i++){
+          b[i] = innerProduct(v[i],phi);
+          Mat.M(v[i],Mv);
+          Mat.Mdag(Mv,MdagMv[i]);
+          G[i][i] = innerProduct(v[i],MdagMv[i]);
+        }
+
+        // Construct the matrix
+        for(int j=0; j<degree; j++){
+        for(int k=j+1; k<degree; k++){
+          G[j][k] = innerProduct(v[j],MdagMv[k]);
+          G[k][j] = std::conj(G[j][k]);
+        }}
+
+        // Gauss-Jordan elimination with partial pivoting
+        for(int i=0; i<degree; i++){
+
+          // Perform partial pivoting
+          int k = i;
+          for(int j=i+1; j<degree; j++){ if(std::abs(G[j][j]) > std::abs(G[k][k])){ k = j; } }
+          if(k != i){
+            xp = b[k];
+            b[k] = b[i];
+            b[i] = xp;
+            for(int j=0; j<degree; j++){
+              xp = G[k][j];
+              G[k][j] = G[i][j];
+              G[i][j] = xp;
+            }
+          }
+
+          // Convert matrix to upper triangular form
+          for(int j=i+1; j<degree; j++){
+            xp = G[j][i]/G[i][i];
+            b[j] -= xp * b[i];
+            for(int k=0; k<degree; k++){ G[j][k] -= xp*G[i][k]; }
+          }
+        }
+
+        // Use Gaussian elimination to solve equations and calculate initial guess
+        chi = zero;
+        r = phi;
+        for(int i=degree-1; i>=0; i--){
+          a[i] = 0.0;
+          for(int j=i+1; j<degree; j++){ a[i] += G[i][j] * a[j]; }
+          a[i] = (b[i]-a[i])/G[i][i];
+          chi += a[i]*v[i];
+          r -= a[i]*MdagMv[i];
+        }
+
+        RealD true_r(0.0);
+        ComplexD tmp;
+        for(int i=0; i<degree; i++){
+          tmp = -b[i];
+          for(int j=0; j<degree; j++){ tmp += G[i][j]*a[j]; }
+          tmp = std::conj(tmp)*tmp;
+          true_r += std::sqrt(tmp.real());
+        }
+
+        RealD error = std::sqrt(norm2(r)/norm2(phi));
+        std::cout << GridLogMessage << "ChronoForecast: |res|/|src| = " << error << std::endl;
+
+        return chi;
+      };
+  };
+
+}
 
 #endif

Grid/algorithms/approx/JacobiPolynomial.h

@@ -1,129 +0,0 @@
-#ifndef GRID_JACOBIPOLYNOMIAL_H
-#define GRID_JACOBIPOLYNOMIAL_H
-
-#include <Grid/algorithms/LinearOperator.h>
-
-NAMESPACE_BEGIN(Grid);
-
-template<class Field>
-class JacobiPolynomial : public OperatorFunction<Field> {
- private:
-  using OperatorFunction<Field>::operator();
-
-  int order;
-  RealD hi;
-  RealD lo;
-  RealD alpha;
-  RealD beta;
-
- public:
-  void csv(std::ostream &out){
-    csv(out,lo,hi);
-  }
-  void csv(std::ostream &out,RealD llo,RealD hhi){
-    RealD diff = hhi-llo;
-    RealD delta = diff*1.0e-5;
-    for (RealD x=llo-delta; x<=hhi; x+=delta) {
-      RealD f = approx(x);
-      out<< x<<" "<<f <<std::endl;
-    }
-    return;
-  }
-
-  JacobiPolynomial(){};
-  JacobiPolynomial(RealD _lo,RealD _hi,int _order,RealD _alpha, RealD _beta)
-  {
-      lo=_lo;
-      hi=_hi;
-      alpha=_alpha;
-      beta=_beta;
-      order=_order;
-  };
-
-  RealD approx(RealD x) // Convenience for plotting the approximation                                                       
-  {
-    RealD Tn;
-    RealD Tnm;
-    RealD Tnp;
-
-    RealD y=( x-0.5*(hi+lo))/(0.5*(hi-lo));
-
-    RealD T0=1.0;
-    RealD T1=(alpha-beta)*0.5+(alpha+beta+2.0)*0.5*y;
-
-    Tn =T1;
-    Tnm=T0;
-    for(int n=2;n<=order;n++){
-      RealD cnp = 2.0*n*(n+alpha+beta)*(2.0*n-2.0+alpha+beta);
-      RealD cny = (2.0*n-2.0+alpha+beta)*(2.0*n-1.0+alpha+beta)*(2.0*n+alpha+beta);
-      RealD cn1 = (2.0*n+alpha+beta-1.0)*(alpha*alpha-beta*beta);
-      RealD cnm = - 2.0*(n+alpha-1.0)*(n+beta-1.0)*(2.0*n+alpha+beta);
-      Tnp= ( cny * y *Tn + cn1 * Tn + cnm * Tnm )/ cnp;
-      Tnm=Tn;
-      Tn =Tnp;
-    }
-    return Tnp;
-  };
-
-  // Implement the required interface                                                                                       
-  void operator() (LinearOperatorBase<Field> &Linop, const Field &in, Field &out) {
-    GridBase *grid=in.Grid();
-
-    int vol=grid->gSites();
-
-    Field T0(grid);
-    Field T1(grid);
-    Field T2(grid);
-    Field y(grid);
-
-
-    Field *Tnm = &T0;
-    Field *Tn  = &T1;
-    Field *Tnp = &T2;
-
-    //    RealD T0=1.0;                                                                                                     
-    T0=in;
-
-    //    RealD y=( x-0.5*(hi+lo))/(0.5*(hi-lo));                                                                           
-    //           = x * 2/(hi-lo) - (hi+lo)/(hi-lo)                                                                          
-    Linop.HermOp(T0,y);
-    RealD xscale = 2.0/(hi-lo);
-    RealD mscale = -(hi+lo)/(hi-lo);
-    Linop.HermOp(T0,y);
-    y=y*xscale+in*mscale;
-
-    // RealD T1=(alpha-beta)*0.5+(alpha+beta+2.0)*0.5*y;
-    RealD halfAmB  = (alpha-beta)*0.5;
-    RealD halfApBp2= (alpha+beta+2.0)*0.5;
-    T1 = halfAmB * in + halfApBp2*y;
-
-    for(int n=2;n<=order;n++){
-
-      Linop.HermOp(*Tn,y);
-      y=xscale*y+mscale*(*Tn);
-
-      RealD cnp = 2.0*n*(n+alpha+beta)*(2.0*n-2.0+alpha+beta);
-      RealD cny = (2.0*n-2.0+alpha+beta)*(2.0*n-1.0+alpha+beta)*(2.0*n+alpha+beta);
-      RealD cn1 = (2.0*n+alpha+beta-1.0)*(alpha*alpha-beta*beta);
-      RealD cnm = - 2.0*(n+alpha-1.0)*(n+beta-1.0)*(2.0*n+alpha+beta);
-
-      //      Tnp= ( cny * y *Tn + cn1 * Tn + cnm * Tnm )/ cnp;                                                             
-      cny=cny/cnp;
-      cn1=cn1/cnp;
-      cn1=cn1/cnp;
-      cnm=cnm/cnp;
-
-      *Tnp=cny*y + cn1 *(*Tn) + cnm * (*Tnm);
-
-      // Cycle pointers to avoid copies                                                                                     
-      Field *swizzle = Tnm;
-      Tnm    =Tn;
-      Tn     =Tnp;
-      Tnp    =swizzle;
-    }
-    out=*Tnp;
-
-  }
-};
-NAMESPACE_END(Grid);
-#endif

Grid/algorithms/approx/MultiShiftFunction.cc

@@ -27,8 +27,7 @@ Author: Azusa Yamaguchi <ayamaguc@staffmail.ed.ac.uk>
     /*  END LEGAL */
 #include <Grid/GridCore.h>
 
-NAMESPACE_BEGIN(Grid);
+namespace Grid {
-
 double MultiShiftFunction::approx(double x)
 {
   double a = norm;
@@ -54,4 +53,4 @@ void MultiShiftFunction::csv(std::ostream &out)
   }
   return;
 }
-NAMESPACE_END(Grid);
+}

Grid/algorithms/approx/MultiShiftFunction.h

@@ -29,7 +29,7 @@ Author: Peter Boyle <paboyle@ph.ed.ac.uk>
 #ifndef MULTI_SHIFT_FUNCTION
 #define MULTI_SHIFT_FUNCTION
 
-NAMESPACE_BEGIN(Grid);
+namespace Grid {
 
 class MultiShiftFunction {
 public:
@@ -40,7 +40,7 @@ public:
   RealD norm;
   RealD lo,hi;
 
-  MultiShiftFunction(int n,RealD _lo,RealD _hi): poles(n), residues(n), tolerances(n), lo(_lo), hi(_hi) {;};
+  MultiShiftFunction(int n,RealD _lo,RealD _hi): poles(n), residues(n), lo(_lo), hi(_hi) {;};
   RealD approx(RealD x);
   void csv(std::ostream &out);
   void gnuplot(std::ostream &out);
@@ -63,5 +63,5 @@ public:
   }
 
 };
-NAMESPACE_END(Grid);
+}
 #endif

Grid/algorithms/approx/Remez.cc

@@ -121,7 +121,7 @@ double AlgRemez::generateApprox(int num_degree, int den_degree,
   // Reallocate arrays, since degree has changed
   if (num_degree != n || den_degree != d) allocate(num_degree,den_degree);
 
-  GRID_ASSERT(a_len<=SUM_MAX);
+  assert(a_len<=SUM_MAX);
 
   step = new bigfloat[num_degree+den_degree+2];
 
@@ -151,9 +151,9 @@ double AlgRemez::generateApprox(int num_degree, int den_degree,
     equations();
     if (delta < tolerance) {
       std::cout<<"Delta too small, try increasing precision\n";
-      GRID_ASSERT(0);
+      assert(0);
     };    
-    GRID_ASSERT( delta>= tolerance);
+    assert( delta>= tolerance);
 
     search(step);
   }
@@ -298,7 +298,7 @@ void AlgRemez::stpini(bigfloat *step) {
 // Search for error maxima and minima
 void AlgRemez::search(bigfloat *step) {
   bigfloat a, q, xm, ym, xn, yn, xx0, xx1;
-  int i, meq, emsign, ensign, steps;
+  int i, j, meq, emsign, ensign, steps;
 
   meq = neq + 1;
   bigfloat *yy = new bigfloat[meq];
@@ -306,6 +306,7 @@ void AlgRemez::search(bigfloat *step) {
   bigfloat eclose = 1.0e30;
   bigfloat farther = 0l;
 
+  j = 1;
   xx0 = apstrt;
 
   for (i = 0; i < meq; i++) {

Grid/algorithms/approx/Remez.h

@@ -134,7 +134,7 @@ class AlgRemez
   virtual ~AlgRemez();
 
   int getDegree(void){ 
-    GRID_ASSERT(n==d);
+    assert(n==d);
     return n;
   }
   // Reset the bounds of the approximation

Grid/algorithms/approx/RemezGeneral.cc

@@ -1,473 +0,0 @@
-#include<math.h>
-#include<stdio.h>
-#include<stdlib.h>
-#include<string>
-#include<iostream>
-#include<iomanip>
-#include<cassert>
-
-#include<Grid/algorithms/approx/RemezGeneral.h>
-
-
-// Constructor
-AlgRemezGeneral::AlgRemezGeneral(double lower, double upper, long precision,
-				 bigfloat (*f)(bigfloat x, void *data), void *data): f(f), 
-										     data(data), 
-										     prec(precision),
-										     apstrt(lower), apend(upper), apwidt(upper - lower),
-										     n(0), d(0), pow_n(0), pow_d(0)
-{
-  bigfloat::setDefaultPrecision(prec);
-
-  std::cout<<"Approximation bounds are ["<<apstrt<<","<<apend<<"]\n";
-  std::cout<<"Precision of arithmetic is "<<precision<<std::endl;
-}
-
-//Determine the properties of the numerator and denominator polynomials
-void AlgRemezGeneral::setupPolyProperties(int num_degree, int den_degree, PolyType num_type_in, PolyType den_type_in){
-  pow_n = num_degree;
-  pow_d = den_degree;
-
-  if(pow_n % 2 == 0 && num_type_in == PolyType::Odd) GRID_ASSERT(0);
-  if(pow_n % 2 == 1 && num_type_in == PolyType::Even) GRID_ASSERT(0);
-
-  if(pow_d % 2 == 0 && den_type_in == PolyType::Odd) GRID_ASSERT(0);
-  if(pow_d % 2 == 1 && den_type_in == PolyType::Even) GRID_ASSERT(0);
-
-  num_type = num_type_in;
-  den_type = den_type_in;
-
-  num_pows.resize(pow_n+1);
-  den_pows.resize(pow_d+1);
-
-  int n_in = 0;
-  bool odd = num_type == PolyType::Full || num_type == PolyType::Odd;
-  bool even = num_type == PolyType::Full || num_type == PolyType::Even;
-  for(int i=0;i<=pow_n;i++){
-    num_pows[i] = -1;
-    if(i % 2 == 0 && even) num_pows[i] = n_in++;
-    if(i % 2 == 1 && odd) num_pows[i] = n_in++;
-  }
-
-  std::cout << n_in << " terms in numerator" << std::endl;
-  --n_in; //power is 1 less than the number of terms, eg  pow=1   a x^1  + b x^0
-
-  int d_in = 0;
-  odd = den_type == PolyType::Full || den_type == PolyType::Odd;
-  even = den_type == PolyType::Full || den_type == PolyType::Even;
-  for(int i=0;i<=pow_d;i++){
-    den_pows[i] = -1;
-    if(i % 2 == 0 && even) den_pows[i] = d_in++;
-    if(i % 2 == 1 && odd) den_pows[i] = d_in++;
-  }
-
-  std::cout << d_in << " terms in denominator" << std::endl;
-  --d_in;
-
-  n = n_in;
-  d = d_in;
-}
-
-//Setup algorithm
-void AlgRemezGeneral::reinitializeAlgorithm(){
-  spread = 1.0e37;
-  iter = 0;
-
-  neq = n + d + 1; //not +2 because highest-power term in denominator is fixed to 1
-
-  param.resize(neq);
-  yy.resize(neq+1);
-
-  //Initialize linear equation temporaries
-  A.resize(neq*neq);
-  B.resize(neq);
-  IPS.resize(neq);
-
-  //Initialize maximum and minimum errors
-  xx.resize(neq+2);
-  mm.resize(neq+1);
-  initialGuess();
-
-  //Initialize search steps
-  step.resize(neq+1);
-  stpini();
-}
-
-double AlgRemezGeneral::generateApprox(const int num_degree, const int den_degree, 
-				       const PolyType num_type_in, const PolyType den_type_in, 
-				       const double _tolerance, const int report_freq){
-  //Setup the properties of the polynomial
-  setupPolyProperties(num_degree, den_degree, num_type_in, den_type_in);
-
-  //Setup the algorithm
-  reinitializeAlgorithm();
-
-  bigfloat tolerance = _tolerance;
-
-  //Iterate until convergance
-  while (spread > tolerance) { 
-    if (iter++ % report_freq==0)
-      std::cout<<"Iteration " <<iter-1<<" spread "<<(double)spread<<" delta "<<(double)delta << std::endl; 
-
-    equations();
-    if (delta < tolerance) {
-      std::cout<<"Iteration " << iter-1 << " delta too small (" << delta << "<" << tolerance << "), try increasing precision\n";
-      GRID_ASSERT(0);
-    };    
-    GRID_ASSERT( delta>= tolerance );
-
-    search();
-  }
-
-  int sign;
-  double error = (double)getErr(mm[0],&sign);
-  std::cout<<"Converged at "<<iter<<" iterations; error = "<<error<<std::endl;
-
-  // Return the maximum error in the approximation
-  return error;
-}
-
-
-// Initial values of maximal and minimal errors
-void AlgRemezGeneral::initialGuess(){
-  // Supply initial guesses for solution points
-  long ncheb = neq;			// Degree of Chebyshev error estimate
-
-  // Find ncheb+1 extrema of Chebyshev polynomial
-  bigfloat a = ncheb;
-  bigfloat r;
-
-  mm[0] = apstrt;
-  for (long i = 1; i < ncheb; i++) {
-    r = 0.5 * (1 - cos((M_PI * i)/(double) a));
-    //r *= sqrt_bf(r);
-    r = (exp((double)r)-1.0)/(exp(1.0)-1.0);
-    mm[i] = apstrt + r * apwidt;
-  }
-  mm[ncheb] = apend;
-
-  a = 2.0 * ncheb;
-  for (long i = 0; i <= ncheb; i++) {
-    r = 0.5 * (1 - cos(M_PI * (2*i+1)/(double) a));
-    //r *= sqrt_bf(r); // Squeeze to low end of interval
-    r = (exp((double)r)-1.0)/(exp(1.0)-1.0);
-    xx[i] = apstrt + r * apwidt;
-  }
-}
-
-// Initialise step sizes
-void AlgRemezGeneral::stpini(){
-  xx[neq+1] = apend;
-  delta = 0.25;
-  step[0] = xx[0] - apstrt;
-  for (int i = 1; i < neq; i++) step[i] = xx[i] - xx[i-1];
-  step[neq] = step[neq-1];
-}
-
-// Search for error maxima and minima
-void AlgRemezGeneral::search(){
-  bigfloat a, q, xm, ym, xn, yn, xx1;
-  int emsign, ensign, steps;
-
-  int meq = neq + 1;
-
-  bigfloat eclose = 1.0e30;
-  bigfloat farther = 0l;
-
-  bigfloat xx0 = apstrt;
-
-  for (int i = 0; i < meq; i++) {
-    steps = 0;
-    xx1 = xx[i]; // Next zero
-    if (i == meq-1) xx1 = apend;
-    xm = mm[i];
-    ym = getErr(xm,&emsign);
-    q = step[i];
-    xn = xm + q;
-    if (xn < xx0 || xn >= xx1) {	// Cannot skip over adjacent boundaries
-      q = -q;
-      xn = xm;
-      yn = ym;
-      ensign = emsign;
-    } else {
-      yn = getErr(xn,&ensign);
-      if (yn < ym) {
-	q = -q;
-	xn = xm;
-	yn = ym;
-	ensign = emsign;
-      }
-    }
-  
-    while(yn >= ym) {		// March until error becomes smaller.
-      if (++steps > 10)
-      	break;
-      
-      ym = yn;
-      xm = xn;
-      emsign = ensign;
-      a = xm + q;
-      if (a == xm || a <= xx0 || a >= xx1)
-	break;// Must not skip over the zeros either side.      
-
-      xn = a;
-      yn = getErr(xn,&ensign);
-    }
-
-    mm[i] = xm;			// Position of maximum
-    yy[i] = ym;			// Value of maximum
-
-    if (eclose > ym) eclose = ym;
-    if (farther < ym) farther = ym;
-
-    xx0 = xx1; // Walk to next zero.
-  } // end of search loop
-
-  q = (farther - eclose);	// Decrease step size if error spread increased
-
-  if (eclose != 0.0) q /= eclose; // Relative error spread
-
-  if (q >= spread)
-    delta *= 0.5; // Spread is increasing; decrease step size
-  
-  spread = q;
-
-  for (int i = 0; i < neq; i++) {
-    q = yy[i+1];
-    if (q != 0.0) q = yy[i] / q  - (bigfloat)1l;
-    else q = 0.0625;
-    if (q > (bigfloat)0.25) q = 0.25;
-    q *= mm[i+1] - mm[i];
-    step[i] = q * delta;
-  }
-  step[neq] = step[neq-1];
-  
-  for (int i = 0; i < neq; i++) {	// Insert new locations for the zeros.
-    xm = xx[i] - step[i];
-
-    if (xm <= apstrt)
-      continue;
-
-    if (xm >= apend)
-      continue;
-
-    if (xm <= mm[i])
-      xm = (bigfloat)0.5 * (mm[i] + xx[i]);    
-
-    if (xm >= mm[i+1])
-      xm = (bigfloat)0.5 * (mm[i+1] + xx[i]);
-    
-    xx[i] = xm;
-  }
-}
-
-// Solve the equations
-void AlgRemezGeneral::equations(){
-  bigfloat x, y, z;
-  bigfloat *aa;
-  
-  for (int i = 0; i < neq; i++) {	// set up the equations for solution by simq()
-    int ip = neq * i;		// offset to 1st element of this row of matrix
-    x = xx[i];			// the guess for this row
-    y = func(x);		// right-hand-side vector
-
-    z = (bigfloat)1l;
-    aa = A.data()+ip;
-    int t = 0;
-    for (int j = 0; j <= pow_n; j++) {
-      if(num_pows[j] != -1){ *aa++ = z; t++; }
-      z *= x;
-    }
-    GRID_ASSERT(t == n+1);
-
-    z = (bigfloat)1l;
-    t = 0;
-    for (int j = 0; j < pow_d; j++) {
-      if(den_pows[j] != -1){ *aa++ = -y * z; t++; }
-      z *= x;
-    }
-    GRID_ASSERT(t == d);
-
-    B[i] = y * z;		// Right hand side vector
-  }
-
-  // Solve the simultaneous linear equations.
-  if (simq()){
-    std::cout<<"simq failed\n";
-    exit(0);
-  }
-}
-
-
-// Evaluate the rational form P(x)/Q(x) using coefficients
-// from the solution vector param
-bigfloat AlgRemezGeneral::approx(const bigfloat x) const{
-  // Work backwards toward the constant term.
-  int c = n;
-  bigfloat yn = param[c--];		// Highest order numerator coefficient
-  for (int i = pow_n-1; i >= 0; i--) yn = x * yn  +  (num_pows[i] != -1 ? param[c--] : bigfloat(0l));  
-
-  c = n+d;
-  bigfloat yd = 1l; //Highest degree coefficient is 1.0
-  for (int i = pow_d-1; i >= 0; i--) yd = x * yd  +  (den_pows[i] != -1 ? param[c--] : bigfloat(0l)); 
-
-  return(yn/yd);
-}
-
-// Compute size and sign of the approximation error at x
-bigfloat AlgRemezGeneral::getErr(bigfloat x, int *sign) const{
-  bigfloat f = func(x);
-  bigfloat e = approx(x) - f;
-  if (f != 0) e /= f;
-  if (e < (bigfloat)0.0) {
-    *sign = -1;
-    e = -e;
-  }
-  else *sign = 1;
-  
-  return(e);
-}
-
-// Solve the system AX=B
-int AlgRemezGeneral::simq(){
-
-  int ip, ipj, ipk, ipn;
-  int idxpiv;
-  int kp, kp1, kpk, kpn;
-  int nip, nkp;
-  bigfloat em, q, rownrm, big, size, pivot, sum;
-  bigfloat *aa;
-  bigfloat *X = param.data();
-
-  int n = neq;
-  int nm1 = n - 1;
-  // Initialize IPS and X
-  
-  int ij = 0;
-  for (int i = 0; i < n; i++) {
-    IPS[i] = i;
-    rownrm = 0.0;
-    for(int j = 0; j < n; j++) {
-      q = abs_bf(A[ij]);
-      if(rownrm < q) rownrm = q;
-      ++ij;
-    }
-    if (rownrm == (bigfloat)0l) {
-      std::cout<<"simq rownrm=0\n";
-      return(1);
-    }
-    X[i] = (bigfloat)1.0 / rownrm;
-  }
-  
-  for (int k = 0; k < nm1; k++) {
-    big = 0.0;
-    idxpiv = 0;
-    
-    for (int i = k; i < n; i++) {
-      ip = IPS[i];
-      ipk = n*ip + k;
-      size = abs_bf(A[ipk]) * X[ip];
-      if (size > big) {
-	big = size;
-	idxpiv = i;
-      }
-    }
-    
-    if (big == (bigfloat)0l) {
-      std::cout<<"simq big=0\n";
-      return(2);
-    }
-    if (idxpiv != k) {
-      int j = IPS[k];
-      IPS[k] = IPS[idxpiv];
-      IPS[idxpiv] = j;
-    }
-    kp = IPS[k];
-    kpk = n*kp + k;
-    pivot = A[kpk];
-    kp1 = k+1;
-    for (int i = kp1; i < n; i++) {
-      ip = IPS[i];
-      ipk = n*ip + k;
-      em = -A[ipk] / pivot;
-      A[ipk] = -em;
-      nip = n*ip;
-      nkp = n*kp;
-      aa = A.data()+nkp+kp1;
-      for (int j = kp1; j < n; j++) {
-	ipj = nip + j;
-	A[ipj] = A[ipj] + em * *aa++;
-      }
-    }
-  }
-  kpn = n * IPS[n-1] + n - 1;	// last element of IPS[n] th row
-  if (A[kpn] == (bigfloat)0l) {
-    std::cout<<"simq A[kpn]=0\n";
-    return(3);
-  }
-
-  
-  ip = IPS[0];
-  X[0] = B[ip];
-  for (int i = 1; i < n; i++) {
-    ip = IPS[i];
-    ipj = n * ip;
-    sum = 0.0;
-    for (int j = 0; j < i; j++) {
-      sum += A[ipj] * X[j];
-      ++ipj;
-    }
-    X[i] = B[ip] - sum;
-  }
-  
-  ipn = n * IPS[n-1] + n - 1;
-  X[n-1] = X[n-1] / A[ipn];
-  
-  for (int iback = 1; iback < n; iback++) {
-    //i goes (n-1),...,1
-    int i = nm1 - iback;
-    ip = IPS[i];
-    nip = n*ip;
-    sum = 0.0;
-    aa = A.data()+nip+i+1;
-    for (int j= i + 1; j < n; j++) 
-      sum += *aa++ * X[j];
-    X[i] = (X[i] - sum) / A[nip+i];
-  }
-  
-  return(0);
-}
-
-void AlgRemezGeneral::csv(std::ostream & os) const{
-  os << "Numerator" << std::endl;
-  for(int i=0;i<=pow_n;i++){
-    os << getCoeffNum(i) << "*x^" << i;
-    if(i!=pow_n) os << " + ";
-  }
-  os << std::endl;
-
-  os << "Denominator" << std::endl;
-  for(int i=0;i<=pow_d;i++){
-    os << getCoeffDen(i) << "*x^" << i;
-    if(i!=pow_d) os << " + ";
-  }
-  os << std::endl;
-
-  //For a true minimax solution the errors should all be equal and the signs should oscillate +-+-+- etc
-  int sign;
-  os << "Errors at maxima: coordinate, error, (sign)" << std::endl;
-  for(int i=0;i<neq+1;i++){ 
-    os << mm[i] << " " << getErr(mm[i],&sign) << " (" << sign << ")" << std::endl;
-  }
-
-  os << "Scan over range:" << std::endl;
-  int npt = 60;
-  bigfloat dlt = (apend - apstrt)/bigfloat(npt-1);
-
-  for (bigfloat x=apstrt; x<=apend; x = x + dlt) {
-    double f = evaluateFunc(x);
-    double r = evaluateApprox(x);
-    os<< x<<","<<r<<","<<f<<","<<r-f<<std::endl;
-  }
-  return;
-}

Grid/algorithms/approx/RemezGeneral.h

@@ -1,170 +0,0 @@
-/*
-  C.Kelly Jan 2020 based on implementation by M. Clark May 2005
-
-  AlgRemezGeneral is an implementation of the Remez algorithm for approximating an arbitrary function by a rational polynomial 
-  It includes optional restriction to odd/even polynomials for the numerator and/or denominator
-*/
-
-#ifndef INCLUDED_ALG_REMEZ_GENERAL_H
-#define INCLUDED_ALG_REMEZ_GENERAL_H
-
-#include <stddef.h>
-#include <Grid/GridStd.h>
-
-#ifdef HAVE_LIBGMP
-#include "bigfloat.h"
-#else
-#include "bigfloat_double.h"
-#endif
-
-
-class AlgRemezGeneral{
- public:
-  enum PolyType { Even, Odd, Full };
-
- private:
-
-  // In GSL-style, pass the function as a function pointer. Any data required to evaluate the function is passed in as a void pointer
-  bigfloat (*f)(bigfloat x, void *data);
-  void *data;
-
-  // The approximation parameters
-  std::vector<bigfloat> param;
-  bigfloat norm;
-
-  // The number of non-zero terms in the numerator and denominator
-  int n, d;
-  // The numerator and denominator degree (i.e.  the largest power)
-  int pow_n, pow_d;
-  
-  // Specify if the numerator and/or denominator are odd/even polynomials
-  PolyType num_type;
-  PolyType den_type;
-  std::vector<int> num_pows; //contains the mapping, with -1 if not present
-  std::vector<int> den_pows;
-
-  // The bounds of the approximation
-  bigfloat apstrt, apwidt, apend;
-
-  // Variables used to calculate the approximation
-  int nd1, iter;
-  std::vector<bigfloat> xx;
-  std::vector<bigfloat> mm;
-  std::vector<bigfloat> step;
-
-  bigfloat delta, spread;
-  
-  // Variables used in search
-  std::vector<bigfloat> yy;
-
-  // Variables used in solving linear equations
-  std::vector<bigfloat> A;
-  std::vector<bigfloat> B;
-  std::vector<int> IPS;
-
-  // The number of equations we must solve at each iteration (n+d+1)
-  int neq;
-
-  // The precision of the GNU MP library
-  long prec;
-
-  // Initialize member variables associated with the polynomial's properties
-  void setupPolyProperties(int num_degree, int den_degree, PolyType num_type_in, PolyType den_type_in);
-
-  // Initial values of maximal and minmal errors
-  void initialGuess();
-
-  // Initialise step sizes
-  void stpini();
-
-  // Initialize the algorithm
-  void reinitializeAlgorithm();
-
-  // Solve the equations
-  void equations();
-
-  // Search for error maxima and minima
-  void search(); 
-
-  // Calculate function required for the approximation
-  inline bigfloat func(bigfloat x) const{
-    return f(x, data);
-  }
-
-  // Compute size and sign of the approximation error at x
-  bigfloat getErr(bigfloat x, int *sign) const;
-
-  // Solve the system AX=B   where X = param
-  int simq();
-
-  // Evaluate the rational form P(x)/Q(x) using coefficients from the solution vector param
-  bigfloat approx(bigfloat x) const;
-
- public:
-  
-  AlgRemezGeneral(double lower, double upper, long prec,
-		  bigfloat (*f)(bigfloat x, void *data), void *data);
-
-  inline int getDegree(void) const{ 
-    GRID_ASSERT(n==d);
-    return n;
-  }
-  // Reset the bounds of the approximation
-  inline void setBounds(double lower, double upper) {
-    apstrt = lower;
-    apend = upper;
-    apwidt = apend - apstrt;
-  }
-
-  // Get the bounds of the approximation
-  inline void getBounds(double &lower, double &upper) const{ 
-    lower=(double)apstrt;
-    upper=(double)apend;
-  }
-
-  // Run the algorithm to generate the rational approximation
-  double generateApprox(int num_degree, int den_degree, 
-			PolyType num_type, PolyType den_type,
-			const double tolerance = 1e-15, const int report_freq = 1000);
-  
-  inline double generateApprox(int num_degree, int den_degree, 
-			       const double tolerance = 1e-15, const int report_freq = 1000){
-    return generateApprox(num_degree, den_degree, Full, Full, tolerance, report_freq);
-  }
-  
-  // Evaluate the rational form P(x)/Q(x) using coefficients from the
-  // solution vector param
-  inline double evaluateApprox(double x) const{
-    return (double)approx((bigfloat)x);
-  }
-
-  // Evaluate the rational form Q(x)/P(x) using coefficients from the solution vector param
-  inline double evaluateInverseApprox(double x) const{
-    return 1.0/(double)approx((bigfloat)x);
-  }  
-
-  // Calculate function required for the approximation
-  inline double evaluateFunc(double x) const{
-    return (double)func((bigfloat)x);
-  }
-
-  // Calculate inverse function required for the approximation
-  inline double evaluateInverseFunc(double x) const{
-    return 1.0/(double)func((bigfloat)x);
-  }
-
-  // Dump csv of function, approx and error
-  void csv(std::ostream &os = std::cout) const;
-
-  // Get the coefficient of the term x^i in the numerator
-  inline double getCoeffNum(const int i) const{    
-    return num_pows[i] == -1 ? 0. : double(param[num_pows[i]]);
-  }
-  // Get the coefficient of the term x^i in the denominator
-  inline double getCoeffDen(const int i) const{ 
-    if(i == pow_d) return 1.0;
-    else return den_pows[i] == -1 ? 0. : double(param[den_pows[i]+n+1]); 
-  }
-};
-
-#endif

Grid/algorithms/approx/ZMobius.cc

@@ -1,183 +0,0 @@
-/*************************************************************************************
-
-    Grid physics library, www.github.com/paboyle/Grid 
-
-    Source file: ./lib/algorithms/approx/ZMobius.cc
-
-    Copyright (C) 2015
-
-Author: Christopher Kelly <ckelly@phys.columbia.edu>
-
-    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 <Grid/algorithms/approx/ZMobius.h>
-#include <Grid/algorithms/approx/RemezGeneral.h>
-
-NAMESPACE_BEGIN(Grid);
-NAMESPACE_BEGIN(Approx);
-
-//Compute the tanh approximation
-inline double epsilonMobius(const double x, const std::vector<ComplexD> &w){
-  int Ls = w.size();
-
-  ComplexD fxp = 1., fmp = 1.;
-  for(int i=0;i<Ls;i++){
-    fxp = fxp * ( w[i] + x );
-    fmp = fmp * ( w[i] - x );
-  }
-  return ((fxp - fmp)/(fxp + fmp)).real();
-}
-inline double epsilonMobius(const double x, const std::vector<RealD> &w){
-  int Ls = w.size();
-
-  double fxp = 1., fmp = 1.;
-  for(int i=0;i<Ls;i++){
-    fxp = fxp * ( w[i] + x );
-    fmp = fmp * ( w[i] - x );
-  }
-  return (fxp - fmp)/(fxp + fmp);
-}
-
-
-
-//Compute the tanh approximation in a form suitable for the Remez
-bigfloat epsilonMobius(bigfloat x, void* data){
-  const std::vector<RealD> &omega = *( (std::vector<RealD> const*)data );
-  bigfloat fxp(1.0);
-  bigfloat fmp(1.0);
-
-  for(int i=0;i<omega.size();i++){
-    fxp = fxp * ( bigfloat(omega[i]) + x);
-    fmp = fmp * ( bigfloat(omega[i]) - x);
-  }
-  return (fxp - fmp)/(fxp + fmp);
-}
-
-//Compute the Zmobius Omega parameters suitable for eigenvalue range   -lambda_bound <= lambda <= lambda_bound
-//Note omega_i = 1/(b_i + c_i)   where b_i and c_i are the Mobius parameters
-void computeZmobiusOmega(std::vector<ComplexD> &omega_out, const int Ls_out,
-			 const std::vector<RealD> &omega_in, const int Ls_in,
-			 const RealD lambda_bound){
-  GRID_ASSERT(omega_in.size() == Ls_in);
-  omega_out.resize(Ls_out);
-
-  //Use the Remez algorithm to generate the appropriate rational polynomial
-  //For odd polynomial, to satisfy Haar condition must take either positive or negative half of range (cf https://arxiv.org/pdf/0803.0439.pdf page 6)  
-  AlgRemezGeneral remez(0, lambda_bound, 64, &epsilonMobius, (void*)&omega_in); 
-  remez.generateApprox(Ls_out-1, Ls_out,AlgRemezGeneral::Odd, AlgRemezGeneral::Even, 1e-15, 100);
-  remez.csv(std::cout);
-
-  //The rational approximation has the form  [ f(x) - f(-x) ] / [ f(x) + f(-x) ]  where  f(x) = \Prod_{i=0}^{L_s-1} ( \omega_i + x )
-  //cf https://academiccommons.columbia.edu/doi/10.7916/D8T72HD7  pg 102
-  //omega_i are therefore the negative of the complex roots of f(x)
-
-  //We can find the roots by recognizing that the eigenvalues of a matrix A are the roots of the characteristic polynomial
-  // \rho(\lambda) = det( A - \lambda I )    where I is the unit matrix
-  //The matrix whose characteristic polynomial is an arbitrary monic polynomial a0 + a1 x + a2 x^2 + ... x^n   is the companion matrix 
-  // A = | 0    1   0    0 0 .... 0 |
-  //     | 0    0   1    0 0 .... 0 |
-  //     | :    :   :    : :      : |
-  //     | 0    0   0    0 0      1
-  //     | -a0 -a1 -a2  ...  ... -an|
-
-
-  //Note the Remez defines the largest power to have unit coefficient
-  std::vector<RealD> coeffs(Ls_out+1);
-  for(int i=0;i<Ls_out+1;i+=2) coeffs[i] = coeffs[i] = remez.getCoeffDen(i); //even powers
-  for(int i=1;i<Ls_out+1;i+=2) coeffs[i] = coeffs[i] = remez.getCoeffNum(i); //odd powers
-
-  std::vector<std::complex<RealD> > roots(Ls_out);
-
-  //Form the companion matrix
-  Eigen::MatrixXd compn(Ls_out,Ls_out);
-  for(int i=0;i<Ls_out-1;i++) compn(i,0) = 0.;
-  compn(Ls_out - 1, 0) = -coeffs[0];
-  
-  for(int j=1;j<Ls_out;j++){
-    for(int i=0;i<Ls_out-1;i++) compn(i,j) = i == j-1 ? 1. : 0.;
-    compn(Ls_out - 1, j) = -coeffs[j];
-  }
-
-  //Eigensolve
-  Eigen::EigenSolver<Eigen::MatrixXd> slv(compn, false);
-
-  const auto & ev = slv.eigenvalues();
-  for(int i=0;i<Ls_out;i++)
-    omega_out[i] = -ev(i);
-
-  //Sort ascending (smallest at start of vector!)
-  std::sort(omega_out.begin(), omega_out.end(), 
-	    [&](const ComplexD &a, const ComplexD &b){ return a.real() < b.real() || (a.real() == b.real() && a.imag() < b.imag()); });
-
-  //McGlynn thesis pg 122 suggest improved iteration counts if magnitude of omega diminishes towards the center of the 5th dimension
-  std::vector<ComplexD> omega_tmp = omega_out;
-  int s_low=0, s_high=Ls_out-1, ss=0;
-  for(int s_from = Ls_out-1; s_from >= 0; s_from--){ //loop from largest omega
-    int s_to;
-    if(ss % 2 == 0){
-      s_to = s_low++;
-    }else{
-      s_to = s_high--;
-    }
-    omega_out[s_to] = omega_tmp[s_from];
-    ++ss;
-  }
-  
-  std::cout << "Resulting omega_i:" << std::endl;  
-  for(int i=0;i<Ls_out;i++)
-    std::cout << omega_out[i] << std::endl;
-
-  std::cout << "Test result matches the approximate polynomial found by the Remez" << std::endl;
-  std::cout << "<x> <remez approx> <poly approx> <diff poly approx remez approx> <exact> <diff poly approx exact>\n";
-  
-  int npt = 60;
-  double dlt = lambda_bound/double(npt-1);
-
-  for (int i =0; i<npt; i++){
-    double x = i*dlt;
-    double r = remez.evaluateApprox(x);
-    double p = epsilonMobius(x, omega_out);
-    double e = epsilonMobius(x, omega_in);
-
-    std::cout << x<< " " << r << " " << p <<" " <<r-p << " " << e << " " << e-p << std::endl;
-  }
-
-}
-  
-//mobius_param = b+c   with b-c=1
-void computeZmobiusOmega(std::vector<ComplexD> &omega_out, const int Ls_out, const RealD mobius_param, const int Ls_in, const RealD lambda_bound){
-  std::vector<RealD> omega_in(Ls_in, 1./mobius_param);
-  computeZmobiusOmega(omega_out, Ls_out, omega_in, Ls_in, lambda_bound);
-}
-
-//ZMobius class takes  gamma_i = (b+c) omega_i as its input, where b, c are factored out
-void computeZmobiusGamma(std::vector<ComplexD> &gamma_out, 
-			 const RealD mobius_param_out, const int Ls_out, 
-			 const RealD mobius_param_in, const int Ls_in,
-			 const RealD lambda_bound){
-  computeZmobiusOmega(gamma_out, Ls_out, mobius_param_in, Ls_in, lambda_bound);
-  for(int i=0;i<Ls_out;i++) gamma_out[i] = gamma_out[i] * mobius_param_out;
-}
-//Assumes mobius_param_out == mobius_param_in
-void computeZmobiusGamma(std::vector<ComplexD> &gamma_out, const int Ls_out, const RealD mobius_param, const int Ls_in, const RealD lambda_bound){
-  computeZmobiusGamma(gamma_out, mobius_param, Ls_out, mobius_param, Ls_in, lambda_bound);
-}
-
-NAMESPACE_END(Approx);
-NAMESPACE_END(Grid);

Grid/algorithms/approx/ZMobius.h

@@ -1,57 +0,0 @@
-/*************************************************************************************
-
-    Grid physics library, www.github.com/paboyle/Grid 
-
-    Source file: ./lib/algorithms/approx/ZMobius.h
-
-    Copyright (C) 2015
-
-Author: Christopher Kelly <ckelly@phys.columbia.edu>
-
-    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 GRID_ZMOBIUS_APPROX_H
-#define GRID_ZMOBIUS_APPROX_H
-
-#include <Grid/GridCore.h>
-
-NAMESPACE_BEGIN(Grid);
-NAMESPACE_BEGIN(Approx);
-
-//Compute the Zmobius Omega parameters suitable for eigenvalue range   -lambda_bound <= lambda <= lambda_bound
-//Note omega_i = 1/(b_i + c_i)   where b_i and c_i are the Mobius parameters
-void computeZmobiusOmega(std::vector<ComplexD> &omega_out, const int Ls_out,
-			 const std::vector<RealD> &omega_in, const int Ls_in,
-			 const RealD lambda_bound);
-  
-//mobius_param = b+c   with b-c=1
-void computeZmobiusOmega(std::vector<ComplexD> &omega_out, const int Ls_out, const RealD mobius_param, const int Ls_in, const RealD lambda_bound);
-
-//ZMobius class takes  gamma_i = (b+c) omega_i as its input, where b, c are factored out
-void computeZmobiusGamma(std::vector<ComplexD> &gamma_out, 
-			 const RealD mobius_param_out, const int Ls_out, 
-			 const RealD mobius_param_in, const int Ls_in,
-			 const RealD lambda_bound);
-
-//Assumes mobius_param_out == mobius_param_in
-void computeZmobiusGamma(std::vector<ComplexD> &gamma_out, const int Ls_out, const RealD mobius_param, const int Ls_in, const RealD lambda_bound);
-
-NAMESPACE_END(Approx);
-NAMESPACE_END(Grid);
-
-#endif

Grid/algorithms/approx/Zolotarev.cc

@@ -58,8 +58,8 @@
 
 /* Compute the partial fraction expansion coefficients (alpha) from the
  * factored form */
-NAMESPACE_BEGIN(Grid);
+namespace Grid {
-NAMESPACE_BEGIN(Approx);
+namespace Approx {
 
 static void construct_partfrac(izd *z) {
   int dn = z -> dn, dd = z -> dd, type = z -> type;
@@ -293,7 +293,7 @@ static void sncndnFK(INTERNAL_PRECISION u, INTERNAL_PRECISION k,
  * Set type = 0 for the Zolotarev approximation, which is zero at x = 0, and
  * type = 1 for the approximation which is infinite at x = 0. */
 
-zolotarev_data* zolotarev(ZOLO_PRECISION epsilon, int n, int type) {
+zolotarev_data* zolotarev(PRECISION epsilon, int n, int type) {
   INTERNAL_PRECISION A, c, cp, kp, ksq, sn, cn, dn, Kp, Kj, z, z0, t, M, F,
     l, invlambda, xi, xisq, *tv, s, opl;
   int m, czero, ts;
@@ -375,12 +375,12 @@ zolotarev_data* zolotarev(ZOLO_PRECISION epsilon, int n, int type) {
   construct_partfrac(d);
   construct_contfrac(d);
 
-  /* Converting everything to ZOLO_PRECISION for external use only */
+  /* Converting everything to PRECISION for external use only */
 
   zd = (zolotarev_data*) malloc(sizeof(zolotarev_data));
-  zd -> A = (ZOLO_PRECISION) d -> A;
+  zd -> A = (PRECISION) d -> A;
-  zd -> Delta = (ZOLO_PRECISION) d -> Delta;
+  zd -> Delta = (PRECISION) d -> Delta;
-  zd -> epsilon = (ZOLO_PRECISION) d -> epsilon;
+  zd -> epsilon = (PRECISION) d -> epsilon;
   zd -> n = d -> n;
   zd -> type = d -> type;
   zd -> dn = d -> dn;
@@ -390,24 +390,24 @@ zolotarev_data* zolotarev(ZOLO_PRECISION epsilon, int n, int type) {
   zd -> deg_num = d -> deg_num;
   zd -> deg_denom = d -> deg_denom;
 
-  zd -> a = (ZOLO_PRECISION*) malloc(zd -> dn * sizeof(ZOLO_PRECISION));
+  zd -> a = (PRECISION*) malloc(zd -> dn * sizeof(PRECISION));
-  for (m = 0; m < zd -> dn; m++) zd -> a[m] = (ZOLO_PRECISION) d -> a[m];
+  for (m = 0; m < zd -> dn; m++) zd -> a[m] = (PRECISION) d -> a[m];
   free(d -> a);
 
-  zd -> ap = (ZOLO_PRECISION*) malloc(zd -> dd * sizeof(ZOLO_PRECISION));
+  zd -> ap = (PRECISION*) malloc(zd -> dd * sizeof(PRECISION));
-  for (m = 0; m < zd -> dd; m++) zd -> ap[m] = (ZOLO_PRECISION) d -> ap[m];
+  for (m = 0; m < zd -> dd; m++) zd -> ap[m] = (PRECISION) d -> ap[m];
   free(d -> ap);
 
-  zd -> alpha = (ZOLO_PRECISION*) malloc(zd -> da * sizeof(ZOLO_PRECISION));
+  zd -> alpha = (PRECISION*) malloc(zd -> da * sizeof(PRECISION));
-  for (m = 0; m < zd -> da; m++) zd -> alpha[m] = (ZOLO_PRECISION) d -> alpha[m];
+  for (m = 0; m < zd -> da; m++) zd -> alpha[m] = (PRECISION) d -> alpha[m];
   free(d -> alpha);
 
-  zd -> beta = (ZOLO_PRECISION*) malloc(zd -> db * sizeof(ZOLO_PRECISION));
+  zd -> beta = (PRECISION*) malloc(zd -> db * sizeof(PRECISION));
-  for (m = 0; m < zd -> db; m++) zd -> beta[m] = (ZOLO_PRECISION) d -> beta[m];
+  for (m = 0; m < zd -> db; m++) zd -> beta[m] = (PRECISION) d -> beta[m];
   free(d -> beta);
 
-  zd -> gamma = (ZOLO_PRECISION*) malloc(zd -> n * sizeof(ZOLO_PRECISION));
+  zd -> gamma = (PRECISION*) malloc(zd -> n * sizeof(PRECISION));
-  for (m = 0; m < zd -> n; m++) zd -> gamma[m] = (ZOLO_PRECISION) d -> gamma[m];
+  for (m = 0; m < zd -> n; m++) zd -> gamma[m] = (PRECISION) d -> gamma[m];
   free(d -> gamma);
 
   free(d);
@@ -426,7 +426,7 @@ void zolotarev_free(zolotarev_data *zdata)
 }
 
 
-zolotarev_data* higham(ZOLO_PRECISION epsilon, int n) {
+zolotarev_data* higham(PRECISION epsilon, int n) {
   INTERNAL_PRECISION A, M, c, cp, z, z0, t, epssq;
   int m, czero;
   zolotarev_data *zd;
@@ -481,9 +481,9 @@ zolotarev_data* higham(ZOLO_PRECISION epsilon, int n) {
   /* Converting everything to PRECISION for external use only */
 
   zd = (zolotarev_data*) malloc(sizeof(zolotarev_data));
-  zd -> A = (ZOLO_PRECISION) d -> A;
+  zd -> A = (PRECISION) d -> A;
-  zd -> Delta = (ZOLO_PRECISION) d -> Delta;
+  zd -> Delta = (PRECISION) d -> Delta;
-  zd -> epsilon = (ZOLO_PRECISION) d -> epsilon;
+  zd -> epsilon = (PRECISION) d -> epsilon;
   zd -> n = d -> n;
   zd -> type = d -> type;
   zd -> dn = d -> dn;
@@ -493,47 +493,45 @@ zolotarev_data* higham(ZOLO_PRECISION epsilon, int n) {
   zd -> deg_num = d -> deg_num;
   zd -> deg_denom = d -> deg_denom;
 
-  zd -> a = (ZOLO_PRECISION*) malloc(zd -> dn * sizeof(ZOLO_PRECISION));
+  zd -> a = (PRECISION*) malloc(zd -> dn * sizeof(PRECISION));
-  for (m = 0; m < zd -> dn; m++) zd -> a[m] = (ZOLO_PRECISION) d -> a[m];
+  for (m = 0; m < zd -> dn; m++) zd -> a[m] = (PRECISION) d -> a[m];
   free(d -> a);
 
-  zd -> ap = (ZOLO_PRECISION*) malloc(zd -> dd * sizeof(ZOLO_PRECISION));
+  zd -> ap = (PRECISION*) malloc(zd -> dd * sizeof(PRECISION));
-  for (m = 0; m < zd -> dd; m++) zd -> ap[m] = (ZOLO_PRECISION) d -> ap[m];
+  for (m = 0; m < zd -> dd; m++) zd -> ap[m] = (PRECISION) d -> ap[m];
   free(d -> ap);
 
-  zd -> alpha = (ZOLO_PRECISION*) malloc(zd -> da * sizeof(ZOLO_PRECISION));
+  zd -> alpha = (PRECISION*) malloc(zd -> da * sizeof(PRECISION));
-  for (m = 0; m < zd -> da; m++) zd -> alpha[m] = (ZOLO_PRECISION) d -> alpha[m];
+  for (m = 0; m < zd -> da; m++) zd -> alpha[m] = (PRECISION) d -> alpha[m];
   free(d -> alpha);
 
-  zd -> beta = (ZOLO_PRECISION*) malloc(zd -> db * sizeof(ZOLO_PRECISION));
+  zd -> beta = (PRECISION*) malloc(zd -> db * sizeof(PRECISION));
-  for (m = 0; m < zd -> db; m++) zd -> beta[m] = (ZOLO_PRECISION) d -> beta[m];
+  for (m = 0; m < zd -> db; m++) zd -> beta[m] = (PRECISION) d -> beta[m];
   free(d -> beta);
 
-  zd -> gamma = (ZOLO_PRECISION*) malloc(zd -> n * sizeof(ZOLO_PRECISION));
+  zd -> gamma = (PRECISION*) malloc(zd -> n * sizeof(PRECISION));
-  for (m = 0; m < zd -> n; m++) zd -> gamma[m] = (ZOLO_PRECISION) d -> gamma[m];
+  for (m = 0; m < zd -> n; m++) zd -> gamma[m] = (PRECISION) d -> gamma[m];
   free(d -> gamma);
 
   free(d);
   return zd;
 }
-
+}}
-NAMESPACE_END(Approx);
-NAMESPACE_END(Grid);
 
 #ifdef TEST
 
 #undef ZERO
-#define ZERO ((ZOLO_PRECISION) 0)
+#define ZERO ((PRECISION) 0)
 #undef ONE
-#define ONE ((ZOLO_PRECISION) 1)
+#define ONE ((PRECISION) 1)
 #undef TWO
-#define TWO ((ZOLO_PRECISION) 2)
+#define TWO ((PRECISION) 2)
 
 /* Evaluate the rational approximation R(x) using the factored form */
 
-static ZOLO_PRECISION zolotarev_eval(ZOLO_PRECISION x, zolotarev_data* rdata) {
+static PRECISION zolotarev_eval(PRECISION x, zolotarev_data* rdata) {
   int m;
-  ZOLO_PRECISION R;
+  PRECISION R;
 
   if (rdata -> type == 0) {
     R = rdata -> A * x;
@@ -551,9 +549,9 @@ static ZOLO_PRECISION zolotarev_eval(ZOLO_PRECISION x, zolotarev_data* rdata) {
 
 /* Evaluate the rational approximation R(x) using the partial fraction form */
 
-static ZOLO_PRECISION zolotarev_partfrac_eval(ZOLO_PRECISION x, zolotarev_data* rdata) {
+static PRECISION zolotarev_partfrac_eval(PRECISION x, zolotarev_data* rdata) {
   int m;
-  ZOLO_PRECISION R = rdata -> alpha[rdata -> da - 1];
+  PRECISION R = rdata -> alpha[rdata -> da - 1];
   for (m = 0; m < rdata -> dd; m++)
     R += rdata -> alpha[m] / (x * x - rdata -> ap[m]);
   if (rdata -> type == 1) R += rdata -> alpha[rdata -> dd] / (x * x);
@@ -568,18 +566,18 @@ static ZOLO_PRECISION zolotarev_partfrac_eval(ZOLO_PRECISION x, zolotarev_data*
  * non-signalling overflow this will work correctly since 1/(1/0) = 1/INF = 0,
  * but with signalling overflow you will get an error message. */
 
-static ZOLO_PRECISION zolotarev_contfrac_eval(ZOLO_PRECISION x, zolotarev_data* rdata) {
+static PRECISION zolotarev_contfrac_eval(PRECISION x, zolotarev_data* rdata) {
   int m;
-  ZOLO_PRECISION R = rdata -> beta[0] * x;
+  PRECISION R = rdata -> beta[0] * x;
   for (m = 1; m < rdata -> db; m++) R = rdata -> beta[m] * x + ONE / R;
   return R;
 }    
 
 /* Evaluate the rational approximation R(x) using Cayley form */
 
-static ZOLO_PRECISION zolotarev_cayley_eval(ZOLO_PRECISION x, zolotarev_data* rdata) {
+static PRECISION zolotarev_cayley_eval(PRECISION x, zolotarev_data* rdata) {
   int m;
-  ZOLO_PRECISION T;
+  PRECISION T;
 
   T = rdata -> type == 0 ? ONE : -ONE;
   for (m = 0; m < rdata -> n; m++)
@@ -587,7 +585,6 @@ static ZOLO_PRECISION zolotarev_cayley_eval(ZOLO_PRECISION x, zolotarev_data* rd
   return (ONE - T) / (ONE + T);
 }
 
-
 /* Test program. Apart from printing out the parameters for R(x) it produces
  * the following data files for plotting (unless NPLOT is defined):
  *
@@ -607,7 +604,7 @@ int main(int argc, char** argv) {
   int m, n, plotpts = 5000, type = 0;
   float eps, x, ypferr, ycferr, ycaylerr, maxypferr, maxycferr, maxycaylerr;
   zolotarev_data *rdata;
-  ZOLO_PRECISION y;
+  PRECISION y;
   FILE *plot_function, *plot_error, 
     *plot_partfrac, *plot_contfrac, *plot_cayley;
 
@@ -626,13 +623,13 @@ int main(int argc, char** argv) {
   }
 
   rdata = type == 2 
-    ? higham((ZOLO_PRECISION) eps, n) 
+    ? higham((PRECISION) eps, n) 
-    : zolotarev((ZOLO_PRECISION) eps, n, type);
+    : zolotarev((PRECISION) eps, n, type);
 
   printf("Zolotarev Test: R(epsilon = %g, n = %d, type = %d)\n\t" 
 	 STRINGIFY(VERSION) "\n\t" STRINGIFY(HVERSION)
 	 "\n\tINTERNAL_PRECISION = " STRINGIFY(INTERNAL_PRECISION)
-	 "\tZOLO_PRECISION = " STRINGIFY(ZOLO_PRECISION)
+	 "\tPRECISION = " STRINGIFY(PRECISION)
 	 "\n\n\tRational approximation of degree (%d,%d), %s at x = 0\n"
 	 "\tDelta = %g (maximum error)\n\n"
 	 "\tA = %g (overall factor)\n",
@@ -681,15 +678,15 @@ int main(int argc, char** argv) {
     x = 2.4 * (float) m / plotpts - 1.2;
     if (rdata -> type == 0 || fabs(x) * (float) plotpts > 1.0) {
       /* skip x = 0 for type 1, as R(0) is singular */
-      y = zolotarev_eval((ZOLO_PRECISION) x, rdata);
+      y = zolotarev_eval((PRECISION) x, rdata);
       fprintf(plot_function, "%g %g\n", x, (float) y);
       fprintf(plot_error, "%g %g\n",
 	      x, (float)((y - ((x > 0.0 ? ONE : -ONE))) / rdata -> Delta));
-      ypferr = (float)((zolotarev_partfrac_eval((ZOLO_PRECISION) x, rdata) - y)
+      ypferr = (float)((zolotarev_partfrac_eval((PRECISION) x, rdata) - y)
 		       / rdata -> Delta);
-      ycferr = (float)((zolotarev_contfrac_eval((ZOLO_PRECISION) x, rdata) - y)
+      ycferr = (float)((zolotarev_contfrac_eval((PRECISION) x, rdata) - y)
 		       / rdata -> Delta);
-      ycaylerr = (float)((zolotarev_cayley_eval((ZOLO_PRECISION) x, rdata) - y)
+      ycaylerr = (float)((zolotarev_cayley_eval((PRECISION) x, rdata) - y)
 		       / rdata -> Delta);
       if (fabs(x) < 1.0 && fabs(x) > rdata -> epsilon) {
 	maxypferr = MAX(maxypferr, fabs(ypferr));
@@ -726,5 +723,5 @@ int main(int argc, char** argv) {
   return EXIT_SUCCESS;
 }
 
-#endif /* TEST */
 
+#endif /* TEST */

Grid/algorithms/approx/Zolotarev.h

@@ -1,18 +1,18 @@
 /* -*- Mode: C; comment-column: 22; fill-column: 79; -*- */
 
 #ifdef __cplusplus
-#include <Grid/Namespace.h>
+namespace Grid {
-NAMESPACE_BEGIN(Grid);
+namespace Approx {
-NAMESPACE_BEGIN(Approx);
 #endif
 
 #define HVERSION Header Time-stamp: <14-OCT-2004 09:26:51.00 adk@MISSCONTRARY>
 
+
 #ifndef ZOLOTAREV_INTERNAL
-#ifndef ZOLO_PRECISION
+#ifndef PRECISION
-#define ZOLO_PRECISION double
+#define PRECISION double
 #endif
-#define ZPRECISION ZOLO_PRECISION
+#define ZPRECISION PRECISION
 #define ZOLOTAREV_DATA zolotarev_data
 #endif
 
@@ -77,13 +77,11 @@ typedef struct {
  * zolotarev_data structure. The arguments must satisfy the constraints that
  * epsilon > 0, n > 0, and type = 0 or 1. */
 
-ZOLOTAREV_DATA* higham(ZOLO_PRECISION epsilon, int n) ;
+ZOLOTAREV_DATA* higham(PRECISION epsilon, int n) ;
-ZOLOTAREV_DATA* zolotarev(ZOLO_PRECISION epsilon, int n, int type);
+ZOLOTAREV_DATA* zolotarev(PRECISION epsilon, int n, int type);
 void zolotarev_free(zolotarev_data *zdata);
 #endif
 
 #ifdef __cplusplus
-NAMESPACE_END(Approx);
+}}
-NAMESPACE_END(Grid);
 #endif
-

Grid/algorithms/approx/bigfloat.h

@@ -10,12 +10,10 @@
 #ifndef INCLUDED_BIGFLOAT_H
 #define INCLUDED_BIGFLOAT_H
 
-#define __GMP_WITHIN_CONFIGURE
+
 #include <gmp.h>
 #include <mpf2mpfr.h>
 #include <mpfr.h>
-#undef  __GMP_WITHIN_CONFIGURE
-
 class bigfloat {
 
 private:

Grid/algorithms/approx/bigfloat_double.h

@@ -25,10 +25,6 @@ Author: Peter Boyle <paboyle@ph.ed.ac.uk>
     See the full license in the file "LICENSE" in the top level distribution directory
     *************************************************************************************/
     /*  END LEGAL */
-
-#ifndef INCLUDED_BIGFLOAT_DOUBLE_H
-#define INCLUDED_BIGFLOAT_DOUBLE_H
-
 #include <math.h>
 
 typedef double mfloat; 
@@ -190,6 +186,4 @@ public:
   //  friend bigfloat& random(void);
 };
 
-#endif
-
 

Grid/algorithms/blas/BatchedBlas.cc

@@ -1,34 +0,0 @@
-/*************************************************************************************
-
-    Grid physics library, www.github.com/paboyle/Grid 
-
-    Source file: BatchedBlas.h
-
-    Copyright (C) 2023
-
-Author: Peter Boyle <pboyle@bnl.gov>
-
-    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 <Grid/GridCore.h>
-#include <Grid/algorithms/blas/BatchedBlas.h>
-NAMESPACE_BEGIN(Grid);
-gridblasHandle_t GridBLAS::gridblasHandle;
-int              GridBLAS::gridblasInit;
-NAMESPACE_END(Grid);
-

Grid/algorithms/blas/BatchedInverse.h

@@ -1,282 +0,0 @@
-/*************************************************************************************
-
-    Grid physics library, www.github.com/paboyle/Grid
-
-    Source file: BatchedInverse.h
-
-    Copyright (C) 2026
-
-Author: Peter Boyle <pboyle@bnl.gov>
-
-    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 */
-#pragma once
-
-#include <Grid/algorithms/blas/BatchedBlas.h>
-
-#ifdef GRID_HIP
-#include <rocsolver/rocsolver.h>
-#endif
-// GRID_CUDA: batched LU inversion lives in cuBLAS (getrfBatched/getriBatched);
-//            cublas_v2.h already included via BatchedBlas.h.
-// GRID_SYCL: oneapi/mkl.hpp already included via BatchedBlas.h (lapack::getrf/getri).
-
-NAMESPACE_BEGIN(Grid);
-
-///////////////////////////////////////////////////////////////////////////////
-// GridBLASInverse: cross-platform batched dense matrix inversion.
-//
-// HIGH LEVEL contract (deliberately NOT a getrf/getrs interface): invert a
-// batch of dense N x N matrices IN PLACE,
-//
-//     A[i] <- A[i]^{-1}       i = 0 .. batchCount-1
-//
-// Layout: column major, lda = N, contiguous per batch element; pointer list
-// exactly as GridBLAS::gemmBatched (deviceVector<T*> of device pointers).
-// Each backend chooses HOW:
-//   HIP  : rocSOLVER getrf_batched + getri_batched
-//   CUDA : cuBLAS getrfBatched + getriBatched (out-of-place getri; workspace
-//          hidden here, result copied back so the surface stays in-place)
-//   SYCL : oneMKL LAPACK getrf + getri per batch element (USM, in-order queue)
-//   CPU  : Eigen PartialPivLU (the correctness oracle for all of the above)
-//
-// The int32 vendor-batched entry points bound N < 2^31 (asserted); the huge
-// single-matrix ILP64 path (getrf_64 + blocked identity-getrs harvest, proven
-// in the dense coarse-coarse setup at N=69120) migrates here as a batch==1
-// large-N dispatch in a follow-up -- the recursive Schur leaves are the
-// batched consumers this surface is shaped for.
-//
-// NB GPU-backend call signatures are written to vendor documentation but the
-// air-gapped development loop compiles only the CPU/Eigen path; verify the
-// rocSOLVER/cuBLAS/oneMKL calls against headers on first device compile.
-// Semantics are locked by the CPU unit test (Test_batched_blas).
-///////////////////////////////////////////////////////////////////////////////
-class GridBLASInverse {
-public:
-
-#ifdef GRID_HIP
-  // rocSOLVER runs on a rocblas_handle (distinct type from hipblasHandle_t)
-  static rocblas_handle & Handle(void) {
-    static rocblas_handle h;
-    static int init = 0;
-    if ( !init ) {
-      auto st = rocblas_create_handle(&h);
-      GRID_ASSERT(st == rocblas_status_success);
-      init = 1;
-    }
-    return h;
-  }
-#endif
-#ifdef GRID_CUDA
-  // cuBLAS batched LU shares the GridBLAS handle
-  static cublasHandle_t & Handle(void) {
-    GridBLAS::Init();
-    return GridBLAS::gridblasHandle;
-  }
-#endif
-#ifdef GRID_SYCL
-  static sycl::queue * & Handle(void) {
-    GridBLAS::Init();
-    return GridBLAS::gridblasHandle;
-  }
-#endif
-
-  GridBLASInverse() {};
-  ~GridBLASInverse() {};
-
-  void inverseBatched(int64_t N, deviceVector<ComplexF*> &Amat)
-  {
-    int32_t batchCount = Amat.size();
-    GRID_ASSERT(batchCount > 0);
-
-#ifdef GRID_HIP
-    GRID_ASSERT( N < 2147483647L );
-    rocblas_int n   = (rocblas_int)N;
-    rocblas_int lda = (rocblas_int)N;
-
-    deviceVector<rocblas_int> ipiv((uint64_t)batchCount*N);
-    deviceVector<rocblas_int> info(batchCount);
-
-    auto st1 = rocsolver_cgetrf_batched(Handle(), n, n,
-					(rocblas_float_complex *const *)&Amat[0], lda,
-					&ipiv[0], (rocblas_stride)N,
-					&info[0], batchCount);
-    GRID_ASSERT(st1 == rocblas_status_success);
-    auto st2 = rocsolver_cgetri_batched(Handle(), n,
-					(rocblas_float_complex *const *)&Amat[0], lda,
-					&ipiv[0], (rocblas_stride)N,
-					&info[0], batchCount);
-    GRID_ASSERT(st2 == rocblas_status_success);
-    accelerator_barrier();
-    std::vector<rocblas_int> info_h(batchCount);
-    acceleratorCopyFromDevice(&info[0],&info_h[0],batchCount*sizeof(rocblas_int));
-    for(int i=0;i<batchCount;i++) GRID_ASSERT(info_h[i]==0); // singular pivot => abort loudly
-#endif
-#ifdef GRID_CUDA
-    GRID_ASSERT( N < 2147483647L );
-    int n = (int)N;
-
-    deviceVector<int> ipiv((uint64_t)batchCount*N);
-    deviceVector<int> info(batchCount);
-
-    auto st1 = cublasCgetrfBatched(Handle(), n,
-				   (cuComplex **)&Amat[0], n,
-				   &ipiv[0], &info[0], batchCount);
-    GRID_ASSERT(st1 == CUBLAS_STATUS_SUCCESS);
-
-    // getri is OUT of place: hidden workspace keeps the surface in-place
-    deviceVector<ComplexF>  work((uint64_t)batchCount*N*N);
-    deviceVector<ComplexF*> Cptr(batchCount);
-    std::vector<ComplexF*>  Cptr_h(batchCount);
-    std::vector<ComplexF*>  Aptr_h(batchCount);
-    for(int i=0;i<batchCount;i++) Cptr_h[i] = &work[(uint64_t)i*N*N];
-    acceleratorCopyToDevice(&Cptr_h[0],&Cptr[0],batchCount*sizeof(ComplexF*));
-    acceleratorCopyFromDevice(&Amat[0],&Aptr_h[0],batchCount*sizeof(ComplexF*));
-
-    auto st2 = cublasCgetriBatched(Handle(), n,
-				   (const cuComplex *const *)&Amat[0], n,
-				   &ipiv[0],
-				   (cuComplex **)&Cptr[0], n,
-				   &info[0], batchCount);
-    GRID_ASSERT(st2 == CUBLAS_STATUS_SUCCESS);
-    accelerator_barrier();
-    std::vector<int> info_h(batchCount);
-    acceleratorCopyFromDevice(&info[0],&info_h[0],batchCount*sizeof(int));
-    for(int i=0;i<batchCount;i++) GRID_ASSERT(info_h[i]==0);
-    for(int i=0;i<batchCount;i++)
-      acceleratorCopyDeviceToDevice(Cptr_h[i],Aptr_h[i],(uint64_t)N*N*sizeof(ComplexF));
-#endif
-#ifdef GRID_SYCL
-    // Per-element oneMKL LAPACK on the in-order queue; group API optimisation later.
-    sycl::queue *q = Handle();
-    std::vector<ComplexF*> Aptr_h(batchCount);
-    acceleratorCopyFromDevice(&Amat[0],&Aptr_h[0],batchCount*sizeof(ComplexF*));
-
-    int64_t lwf = oneapi::mkl::lapack::getrf_scratchpad_size<std::complex<float> >(*q,N,N,N);
-    int64_t lwi = oneapi::mkl::lapack::getri_scratchpad_size<std::complex<float> >(*q,N,N);
-    deviceVector<ComplexF> scratchf(lwf);
-    deviceVector<ComplexF> scratchi(lwi);
-    deviceVector<int64_t>  ipiv(N);
-    for(int i=0;i<batchCount;i++){
-      oneapi::mkl::lapack::getrf(*q,N,N,(std::complex<float>*)Aptr_h[i],N,&ipiv[0],
-				 (std::complex<float>*)&scratchf[0],lwf);
-      oneapi::mkl::lapack::getri(*q,N,  (std::complex<float>*)Aptr_h[i],N,&ipiv[0],
-				 (std::complex<float>*)&scratchi[0],lwi);
-    }
-    q->wait();
-#endif
-#if !defined(GRID_SYCL) && !defined(GRID_CUDA) && !defined(GRID_HIP)
-    // Reference implementation; the oracle the unit test locks semantics with.
-    thread_for (p, batchCount, {
-      Eigen::Map<Eigen::MatrixXcf> eA(Amat[p],N,N);
-      Eigen::PartialPivLU<Eigen::MatrixXcf> lu(eA);
-      eA = lu.inverse();
-      });
-#endif
-  }
-
-  void inverseBatched(int64_t N, deviceVector<ComplexD*> &Amat)
-  {
-    int32_t batchCount = Amat.size();
-    GRID_ASSERT(batchCount > 0);
-
-#ifdef GRID_HIP
-    GRID_ASSERT( N < 2147483647L );
-    rocblas_int n   = (rocblas_int)N;
-    rocblas_int lda = (rocblas_int)N;
-
-    deviceVector<rocblas_int> ipiv((uint64_t)batchCount*N);
-    deviceVector<rocblas_int> info(batchCount);
-
-    auto st1 = rocsolver_zgetrf_batched(Handle(), n, n,
-					(rocblas_double_complex *const *)&Amat[0], lda,
-					&ipiv[0], (rocblas_stride)N,
-					&info[0], batchCount);
-    GRID_ASSERT(st1 == rocblas_status_success);
-    auto st2 = rocsolver_zgetri_batched(Handle(), n,
-					(rocblas_double_complex *const *)&Amat[0], lda,
-					&ipiv[0], (rocblas_stride)N,
-					&info[0], batchCount);
-    GRID_ASSERT(st2 == rocblas_status_success);
-    accelerator_barrier();
-    std::vector<rocblas_int> info_h(batchCount);
-    acceleratorCopyFromDevice(&info[0],&info_h[0],batchCount*sizeof(rocblas_int));
-    for(int i=0;i<batchCount;i++) GRID_ASSERT(info_h[i]==0);
-#endif
-#ifdef GRID_CUDA
-    GRID_ASSERT( N < 2147483647L );
-    int n = (int)N;
-
-    deviceVector<int> ipiv((uint64_t)batchCount*N);
-    deviceVector<int> info(batchCount);
-
-    auto st1 = cublasZgetrfBatched(Handle(), n,
-				   (cuDoubleComplex **)&Amat[0], n,
-				   &ipiv[0], &info[0], batchCount);
-    GRID_ASSERT(st1 == CUBLAS_STATUS_SUCCESS);
-
-    deviceVector<ComplexD>  work((uint64_t)batchCount*N*N);
-    deviceVector<ComplexD*> Cptr(batchCount);
-    std::vector<ComplexD*>  Cptr_h(batchCount);
-    std::vector<ComplexD*>  Aptr_h(batchCount);
-    for(int i=0;i<batchCount;i++) Cptr_h[i] = &work[(uint64_t)i*N*N];
-    acceleratorCopyToDevice(&Cptr_h[0],&Cptr[0],batchCount*sizeof(ComplexD*));
-    acceleratorCopyFromDevice(&Amat[0],&Aptr_h[0],batchCount*sizeof(ComplexD*));
-
-    auto st2 = cublasZgetriBatched(Handle(), n,
-				   (const cuDoubleComplex *const *)&Amat[0], n,
-				   &ipiv[0],
-				   (cuDoubleComplex **)&Cptr[0], n,
-				   &info[0], batchCount);
-    GRID_ASSERT(st2 == CUBLAS_STATUS_SUCCESS);
-    accelerator_barrier();
-    std::vector<int> info_h(batchCount);
-    acceleratorCopyFromDevice(&info[0],&info_h[0],batchCount*sizeof(int));
-    for(int i=0;i<batchCount;i++) GRID_ASSERT(info_h[i]==0);
-    for(int i=0;i<batchCount;i++)
-      acceleratorCopyDeviceToDevice(Cptr_h[i],Aptr_h[i],(uint64_t)N*N*sizeof(ComplexD));
-#endif
-#ifdef GRID_SYCL
-    sycl::queue *q = Handle();
-    std::vector<ComplexD*> Aptr_h(batchCount);
-    acceleratorCopyFromDevice(&Amat[0],&Aptr_h[0],batchCount*sizeof(ComplexD*));
-
-    int64_t lwf = oneapi::mkl::lapack::getrf_scratchpad_size<std::complex<double> >(*q,N,N,N);
-    int64_t lwi = oneapi::mkl::lapack::getri_scratchpad_size<std::complex<double> >(*q,N,N);
-    deviceVector<ComplexD> scratchf(lwf);
-    deviceVector<ComplexD> scratchi(lwi);
-    deviceVector<int64_t>  ipiv(N);
-    for(int i=0;i<batchCount;i++){
-      oneapi::mkl::lapack::getrf(*q,N,N,(std::complex<double>*)Aptr_h[i],N,&ipiv[0],
-				 (std::complex<double>*)&scratchf[0],lwf);
-      oneapi::mkl::lapack::getri(*q,N,  (std::complex<double>*)Aptr_h[i],N,&ipiv[0],
-				 (std::complex<double>*)&scratchi[0],lwi);
-    }
-    q->wait();
-#endif
-#if !defined(GRID_SYCL) && !defined(GRID_CUDA) && !defined(GRID_HIP)
-    thread_for (p, batchCount, {
-      Eigen::Map<Eigen::MatrixXcd> eA(Amat[p],N,N);
-      Eigen::PartialPivLU<Eigen::MatrixXcd> lu(eA);
-      eA = lu.inverse();
-      });
-#endif
-  }
-};
-
-NAMESPACE_END(Grid);

Grid/algorithms/blas/MomentumProject.h

@@ -1,300 +0,0 @@
-/*************************************************************************************
-
-    Grid physics library, www.github.com/paboyle/Grid 
-
-    Source file: MomentumProject.h
-
-    Copyright (C) 2025
-
-Author: Peter Boyle <pboyle@bnl.gov>
-
-    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 */
-#pragma once
-
-NAMESPACE_BEGIN(Grid);
-/* 
-   MultiMomProject
-
-   Import vectors -> nxyz x (ncomponent x nt)
-   Import complex phases -> nmom x nxy
-
-   apply = via (possibly batched) GEMM
-*/
-template<class Field, class ComplexField>
-class MomentumProject
-{
-public:
-
-  typedef typename Field::scalar_type   scalar;
-  typedef typename Field::scalar_object scalar_object;
-
-  GridBase *grid;
-  uint64_t nmom;
-  uint64_t nxyz;
-  uint64_t nt;
-  uint64_t nbtw;
-  uint64_t words;
-
-  deviceVector<scalar> BLAS_V;      // 
-  deviceVector<scalar> BLAS_M;      // 
-  deviceVector<scalar> BLAS_P;      // 
-  
-  MomentumProject(){};
- ~MomentumProject(){ Deallocate(); };
-  
-  void Deallocate(void)
-  {
-    grid=nullptr;
-    nmom=0;
-    nxyz=0;
-    nt=0;
-    nbtw=0;
-    words=0;
-    BLAS_V.resize(0);
-    BLAS_M.resize(0);
-    BLAS_P.resize(0);
-  }
-  void Allocate(int _nmom,GridBase *_grid)
-  {
-    grid=_grid;
-    Coordinate ldims = grid->LocalDimensions();
-
-    nmom=_nmom;
-    nt   = ldims[grid->Nd()-1];
-    nxyz = grid->lSites()/nt;
-    words = sizeof(scalar_object)/sizeof(scalar);
-    nbtw = nt * words;
-
-    BLAS_V.resize (nxyz * nt * words );
-    BLAS_M.resize (nmom * nxyz       );
-    BLAS_P.resize (nmom * nt * words );
-  }
-  void ImportMomenta(const std::vector <ComplexField> &momenta)
-  {
-    GRID_ASSERT(momenta.size()==nmom);
-    //    might as well just make the momenta here
-    typedef typename Field::vector_object vobj;
-
-    int nd = grid->_ndimension;
-
-    uint64_t sz = BLAS_M.size();
-
-    GRID_ASSERT(momenta.size()==nmom)
-    GRID_ASSERT(momenta[0].Grid()==grid);
-    GRID_ASSERT(sz = nxyz * nmom);
-    
-    Coordinate rdimensions = grid->_rdimensions;
-    Coordinate ldims       = grid->LocalDimensions();
-    int64_t osites         = grid->oSites();
-    Coordinate simd        = grid->_simd_layout;
-    const int Nsimd        = vobj::Nsimd();
-    uint64_t lwords        = words; // local variable for copy in to GPU
-    int64_t Nxyz = nxyz;
-    auto blasData_p  = &BLAS_M[0];
-    for(int m=0;m<momenta.size();m++){
-
-      autoView( Data   , momenta[m], AcceleratorRead);
-      auto Data_p  = &Data[0];
-
-      accelerator_for(xyz,nxyz,1,{
-	  //////////////////////////////////////////
-	  // isite -- map lane within buffer to lane within lattice
-	  ////////////////////////////////////////////
-	    Coordinate lcoor(nd,0);
-	    Lexicographic::CoorFromIndex(lcoor,xyz,ldims);
-	    
-	    Coordinate icoor(nd);
-	    Coordinate ocoor(nd);
-	    for (int d = 0; d < nd; d++) {
-	      icoor[d] = lcoor[d]/rdimensions[d];
-	      ocoor[d] = lcoor[d]%rdimensions[d];
-	    }
-	    int64_t osite;
-	    int64_t isite;
-	    Lexicographic::IndexFromCoor(ocoor,osite,rdimensions);
-	    Lexicographic::IndexFromCoor(icoor,isite,simd);
-	    
-	    // BLAS_M[nmom][slice_vol]
-	    // Fortran Column major BLAS layout is M_xyz,mom
-	    scalar data = extractLane(isite,Data[osite]);
-	    uint64_t idx = xyz+m*Nxyz;
-	    blasData_p[idx] = data;
-	});
-    }
-  }
-  void ImportVector(Field &vec)
-  {
-    typedef typename Field::vector_object vobj;
-
-    int nd = grid->_ndimension;
-
-    uint64_t sz = BLAS_V.size();
-
-    GRID_ASSERT(sz = nxyz * words * nt);
-    
-    Coordinate rdimensions = grid->_rdimensions;
-    Coordinate ldims= grid->LocalDimensions();
-    int64_t osites = grid->oSites();
-    Coordinate simd = grid->_simd_layout;
-    const int Nsimd = vobj::Nsimd();
-    uint64_t lwords= words; // local variable for copy in to GPU
-
-    auto blasData_p  = &BLAS_V[0];
-    autoView( Data   , vec, AcceleratorRead);
-    auto Data_p  = &Data[0];
-
-    int64_t nwords = words;// for capture
-    int64_t Nt     = nt;// for capture
-    
-    accelerator_for(sf,osites,Nsimd,{
-#ifdef GRID_SIMT
-        {
-	  int lane=acceleratorSIMTlane(Nsimd); // buffer lane
-#else
-	  for(int lane=0;lane<Nsimd;lane++) {
-#endif
-	  //////////////////////////////////////////
-	  // isite -- map lane within buffer to lane within lattice
-	  ////////////////////////////////////////////
-	    Coordinate lcoor(nd,0);
-	    Coordinate icoor(nd);
-	    Coordinate ocoor(nd);
-	    
-	    Lexicographic::CoorFromIndex(icoor,lane,simd);
-	    Lexicographic::CoorFromIndex(ocoor,sf,rdimensions);
-
-	  
-	    int64_t l_xyz = 0;
-	    for (int d = 0; d < nd; d++) {
-	      lcoor[d] = rdimensions[d]*icoor[d] + ocoor[d];
-	    }
-	    uint64_t l_t   = lcoor[nd-1];
-
-	    Coordinate xyz_coor = lcoor;
-	    xyz_coor[nd-1] =0;
-	    Lexicographic::IndexFromCoor(xyz_coor,l_xyz,ldims);
-
-	    
-	    scalar_object data = extractLane(lane,Data[sf]);
-	    scalar *data_words = (scalar *) &data;
-	    for(int w = 0 ; w < nwords; w++) {
-	      // BLAS_V[slice_vol][nt][words]
-	      // Fortran Column major BLAS layout is V_(t,w)_xyz
-	      uint64_t idx = w+l_t*nwords + l_xyz * nwords * Nt;
-	      blasData_p[idx] = data_words[w];
-	    }
-#ifdef GRID_SIMT
-	}
-#else
-	}
-#endif
-	});
-  }
-  void ExportMomentumProjection(std::vector<typename Field::scalar_object> &projection)
-  {
-    projection.resize(nmom*nt);
-    acceleratorCopyFromDevice(&BLAS_P[0],(scalar *)&projection[0],BLAS_P.size()*sizeof(scalar));
-    // Could decide on a layout late?
-  }
-
-  // Row major layout "C" order:
-  // BLAS_V[slice_vol][nt][words]
-  // BLAS_M[nmom][slice_vol]
-  // BLAS_P[nmom][nt][words]
-  //
-  // Fortran Column major BLAS layout is V_(w,t)_xyz
-  // Fortran Column major BLAS layout is M_xyz,mom
-  // Fortran Column major BLAS layout is P_(w,t),mom
-  //
-  // Projected
-  //
-  // P = (V * M)_(w,t),mom
-  //
-  void Project(Field &data,std::vector< typename Field::scalar_object > & projected_gdata)
-  {
-    double t_import=0;
-    double t_export=0;
-    double t_gemm  =0;
-    double t_allreduce=0;
-    t_import-=usecond();
-    this->ImportVector(data);
-
-    std::vector< typename Field::scalar_object > projected_planes;
-
-    deviceVector<scalar *> Vd(1);
-    deviceVector<scalar *> Md(1);
-    deviceVector<scalar *> Pd(1);
-
-    scalar * Vh = & BLAS_V[0];
-    scalar * Mh = & BLAS_M[0];
-    scalar * Ph = & BLAS_P[0];
-
-    acceleratorPut(Vd[0],Vh);
-    acceleratorPut(Md[0],Mh);
-    acceleratorPut(Pd[0],Ph);
-    t_import+=usecond();
-
-    GridBLAS BLAS;
-
-    /////////////////////////////////////////
-    // P_im = VMmx . Vxi
-    /////////////////////////////////////////
-    t_gemm-=usecond();
-    BLAS.gemmBatched(GridBLAS_OP_N,GridBLAS_OP_N, 
-    		     words*nt,nmom,nxyz,
-		     scalar(1.0),
-		     Vd,
-		     Md,
-		     scalar(0.0),  // wipe out result
-		     Pd);
-    BLAS.synchronise();
-    t_gemm+=usecond();
-
-    t_export-=usecond();
-    ExportMomentumProjection(projected_planes); // resizes
-    t_export+=usecond();
-
-    /////////////////////////////////
-    // Reduce across MPI ranks
-    /////////////////////////////////
-    int nd = grid->Nd();
-    int gt = grid->GlobalDimensions()[nd-1];
-    int lt = grid->LocalDimensions()[nd-1];
-    projected_gdata.resize(gt*nmom);
-    for(int t=0;t<gt*nmom;t++){ // global Nt array with zeroes for stuff not on this node
-      projected_gdata[t]=Zero();
-    }
-    for(int t=0;t<lt;t++){
-    for(int m=0;m<nmom;m++){
-      int st = grid->LocalStarts()[nd-1];
-      projected_gdata[t+st + gt*m] = projected_planes[t+lt*m];
-    }}
-    t_allreduce-=usecond();
-    grid->GlobalSumVector((scalar *)&projected_gdata[0],gt*nmom*words);
-    t_allreduce+=usecond();
-
-    std::cout << GridLogPerformance<<" MomentumProject t_import  "<<t_import<<"us"<<std::endl;
-    std::cout << GridLogPerformance<<" MomentumProject t_export  "<<t_export<<"us"<<std::endl;
-    std::cout << GridLogPerformance<<" MomentumProject t_gemm    "<<t_gemm<<"us"<<std::endl;
-    std::cout << GridLogPerformance<<" MomentumProject t_reduce  "<<t_allreduce<<"us"<<std::endl;
-
-  }
-};
-
-NAMESPACE_END(Grid);

Grid/algorithms/deflation/MultiRHSBlockCGLinalg.h

@@ -1,376 +0,0 @@
-/*************************************************************************************
-
-    Grid physics library, www.github.com/paboyle/Grid 
-
-    Source file: MultiRHSBlockCGLinalg.h
-
-    Copyright (C) 2024
-
-Author: Peter Boyle <pboyle@bnl.gov>
-
-    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 */
-#pragma once
-
-NAMESPACE_BEGIN(Grid);
-
-
-/* Need helper object for BLAS accelerated mrhs blockCG */
-template<class Field>
-class MultiRHSBlockCGLinalg
-{
-public:
-
-  typedef typename Field::scalar_type   scalar;
-  typedef typename Field::scalar_object scalar_object;
-  typedef typename Field::vector_object vector_object;
-
-  deviceVector<scalar> BLAS_X;      // nrhs x vol -- the sources
-  deviceVector<scalar> BLAS_Y;      // nrhs x vol -- the result
-  deviceVector<scalar> BLAS_C;      // nrhs x nrhs -- the coefficients 
-  deviceVector<scalar> BLAS_Cred;   // nrhs x nrhs x oSites -- reduction buffer
-  deviceVector<scalar *> Xdip;
-  deviceVector<scalar *> Ydip;
-  deviceVector<scalar *> Cdip;
-  
-  MultiRHSBlockCGLinalg() {};
-  ~MultiRHSBlockCGLinalg(){ Deallocate(); };
-  
-  void Deallocate(void)
-  {
-    Xdip.resize(0);
-    Ydip.resize(0);
-    Cdip.resize(0);
-    BLAS_Cred.resize(0);
-    BLAS_C.resize(0);
-    BLAS_X.resize(0);
-    BLAS_Y.resize(0);
-  }
-  void MaddMatrix(std::vector<Field> &AP, Eigen::MatrixXcd &m , const std::vector<Field> &X,const std::vector<Field> &Y,RealD scale=1.0)
-  {
-    std::vector<Field> Y_copy(AP.size(),AP[0].Grid());
-    for(int r=0;r<AP.size();r++){
-      Y_copy[r] = Y[r];
-    }
-    MulMatrix(AP,m,X);
-    for(int r=0;r<AP.size();r++){
-      AP[r] = scale*AP[r]+Y_copy[r];
-    }
-  }
-  void MulMatrix(std::vector<Field> &Y, Eigen::MatrixXcd &m , const std::vector<Field> &X)
-  {
-    typedef typename Field::scalar_type scomplex;
-    GridBase *grid;
-    uint64_t vol;
-    uint64_t words;
-
-    int nrhs = Y.size();
-    grid  = X[0].Grid();
-    vol   = grid->lSites();
-    words = sizeof(scalar_object)/sizeof(scalar);
-    int64_t vw = vol * words;
-
-    RealD t0 = usecond();
-    BLAS_X.resize(nrhs * vw); // cost free if size doesn't change
-    BLAS_Y.resize(nrhs * vw); // cost free if size doesn't change
-    BLAS_C.resize(nrhs * nrhs);// cost free if size doesn't change
-    RealD t1 = usecond();
-
-    /////////////////////////////////////////////
-    // Copy in the multi-rhs sources
-    /////////////////////////////////////////////
-    for(int r=0;r<nrhs;r++){
-      int64_t offset = r*vw;
-      autoView(x_v,X[r],AcceleratorRead);
-      acceleratorCopyDeviceToDevice(&x_v[0],&BLAS_X[offset],sizeof(scalar_object)*vol);
-    }
-
-    // Assumes Eigen storage contiguous
-    acceleratorCopyToDevice(&m(0,0),&BLAS_C[0],BLAS_C.size()*sizeof(scalar));
-    
-  /*
-   * in Fortran column major notation (cuBlas order)
-   *
-   * Xxr = [X1(x)][..][Xn(x)]
-   * Yxr = [Y1(x)][..][Ym(x)]
-   * Y = X . C
-   */
-    deviceVector<scalar *> Xd(1);
-    deviceVector<scalar *> Yd(1);
-    deviceVector<scalar *> Cd(1);
-
-    scalar * Xh = & BLAS_X[0];
-    scalar * Yh = & BLAS_Y[0];
-    scalar * Ch = & BLAS_C[0];
-
-    acceleratorPut(Xd[0],Xh);
-    acceleratorPut(Yd[0],Yh);
-    acceleratorPut(Cd[0],Ch);
-
-    RealD t2 = usecond();
-    GridBLAS BLAS;
-    /////////////////////////////////////////
-    // Y = X*C (transpose?)
-    /////////////////////////////////////////
-    BLAS.gemmBatched(GridBLAS_OP_N,GridBLAS_OP_N, 
-    		     vw,nrhs,nrhs,
-		     scalar(1.0),
-		     Xd,
-		     Cd,
-		     scalar(0.0),  // wipe out Y
-		     Yd);
-    BLAS.synchronise();
-    RealD t3 = usecond();
-
-    // Copy back Y = m X 
-    for(int r=0;r<nrhs;r++){
-      int64_t offset = r*vw;
-      autoView(y_v,Y[r],AcceleratorWrite);
-      acceleratorCopyDeviceToDevice(&BLAS_Y[offset],&y_v[0],sizeof(scalar_object)*vol);
-    }    
-    RealD t4 = usecond();
-    std::cout <<GridLogPerformance << "MulMatrix alloc    took "<< t1-t0<<" us"<<std::endl;
-    std::cout <<GridLogPerformance<< "MulMatrix preamble took "<< t2-t1<<" us"<<std::endl;
-    std::cout <<GridLogPerformance<< "MulMatrix blas     took "<< t3-t2<<" us"<<std::endl;
-    std::cout <<GridLogPerformance<< "MulMatrix copy     took "<< t4-t3<<" us"<<std::endl;
-    std::cout <<GridLogPerformance<< "MulMatrix total "<< t4-t0<<" us"<<std::endl;
-  }
-  
-  void InnerProductMatrix(Eigen::MatrixXcd &m , const std::vector<Field> &X, const std::vector<Field> &Y)
-  {
-#if 0    
-    int nrhs;
-    GridBase *grid;
-    uint64_t vol;
-    uint64_t words;
-
-    nrhs = X.size();
-    GRID_ASSERT(X.size()==Y.size());
-    conformable(X[0],Y[0]);
-
-    grid  = X[0].Grid();
-    vol   = grid->lSites();
-    words = sizeof(scalar_object)/sizeof(scalar);
-    int64_t vw = vol * words;
-
-    RealD t0 = usecond();
-    BLAS_X.resize(nrhs * vw); // cost free if size doesn't change
-    BLAS_Y.resize(nrhs * vw); // cost free if size doesn't change
-    BLAS_C.resize(nrhs * nrhs);// cost free if size doesn't change
-    RealD t1 = usecond();
-
-    /////////////////////////////////////////////
-    // Copy in the multi-rhs sources
-    /////////////////////////////////////////////
-    for(int r=0;r<nrhs;r++){
-      int64_t offset = r*vw;
-      autoView(x_v,X[r],AcceleratorRead);
-      acceleratorCopyDeviceToDevice(&x_v[0],&BLAS_X[offset],sizeof(scalar_object)*vol);
-      autoView(y_v,Y[r],AcceleratorRead);
-      acceleratorCopyDeviceToDevice(&y_v[0],&BLAS_Y[offset],sizeof(scalar_object)*vol);
-    }
-    RealD t2 = usecond();
-
-  /*
-   * in Fortran column major notation (cuBlas order)
-   *
-   * Xxr = [X1(x)][..][Xn(x)]
-   *
-   * Yxr = [Y1(x)][..][Ym(x)]
-   *
-   * C_rs = X^dag Y
-   */
-    deviceVector<scalar *> Xd(1);
-    deviceVector<scalar *> Yd(1);
-    deviceVector<scalar *> Cd(1);
-
-    scalar * Xh = & BLAS_X[0];
-    scalar * Yh = & BLAS_Y[0];
-    scalar * Ch = & BLAS_C[0];
-
-    acceleratorPut(Xd[0],Xh);
-    acceleratorPut(Yd[0],Yh);
-    acceleratorPut(Cd[0],Ch);
-
-    GridBLAS BLAS;
-
-    RealD t3 = usecond();
-    /////////////////////////////////////////
-    // C_rs = X^dag Y
-    /////////////////////////////////////////
-    BLAS.gemmBatched(GridBLAS_OP_C,GridBLAS_OP_N, 
-    		     nrhs,nrhs,vw,
-		     ComplexD(1.0),
-		     Xd,
-		     Yd,
-		     ComplexD(0.0),  // wipe out C
-		     Cd);
-    BLAS.synchronise();
-    RealD t4 = usecond();
-
-    std::vector<scalar> HOST_C(BLAS_C.size());      // nrhs . nrhs -- the coefficients 
-    acceleratorCopyFromDevice(&BLAS_C[0],&HOST_C[0],BLAS_C.size()*sizeof(scalar));
-    grid->GlobalSumVector(&HOST_C[0],nrhs*nrhs);
-
-    RealD t5 = usecond();
-    for(int rr=0;rr<nrhs;rr++){
-      for(int r=0;r<nrhs;r++){
-	int off = r+nrhs*rr;
-	m(r,rr)=HOST_C[off];
-      }
-    }
-    RealD t6 = usecond();
-    uint64_t M=nrhs;
-    uint64_t N=nrhs;
-    uint64_t K=vw;
-    RealD bytes = 1.0*sizeof(ComplexD)*(M*N*2+N*K+M*K);
-    RealD flops = 8.0*M*N*K;
-    flops = flops/(t4-t3)/1.e3;
-    bytes = bytes/(t4-t3)/1.e3;
-    std::cout <<GridLogPerformance<< "InnerProductMatrix m,n,k "<< M<<","<<N<<","<<K<<std::endl;
-    std::cout <<GridLogPerformance<< "InnerProductMatrix alloc t1 "<< t1-t0<<" us"<<std::endl;
-    std::cout <<GridLogPerformance<< "InnerProductMatrix cp    t2 "<< t2-t1<<" us"<<std::endl;
-    std::cout <<GridLogPerformance<< "InnerProductMatrix setup t3 "<< t3-t2<<" us"<<std::endl;
-    std::cout <<GridLogPerformance<< "InnerProductMatrix blas t4 "<< t4-t3<<" us"<<std::endl;
-    std::cout <<GridLogPerformance<< "InnerProductMatrix blas    "<< flops<<" GF/s"<<std::endl;
-    std::cout <<GridLogPerformance<< "InnerProductMatrix blas    "<< bytes<<" GB/s"<<std::endl;
-    std::cout <<GridLogPerformance<< "InnerProductMatrix gsum t5 "<< t5-t4<<" us"<<std::endl;
-    std::cout <<GridLogPerformance<< "InnerProductMatrix cp   t6 "<< t6-t5<<" us"<<std::endl;
-    std::cout <<GridLogPerformance<< "InnerProductMatrix took "<< t6-t0<<" us"<<std::endl;
-#else
-    int nrhs;
-    GridBase *grid;
-    uint64_t vol;
-    uint64_t words;
-
-    nrhs = X.size();
-    GRID_ASSERT(X.size()==Y.size());
-    conformable(X[0],Y[0]);
-
-    grid  = X[0].Grid();
-    int rd0 =  grid->_rdimensions[0] * grid->_rdimensions[1];
-    vol   = grid->oSites()/rd0;
-    words = rd0*sizeof(vector_object)/sizeof(scalar);
-    int64_t vw = vol * words;
-    GRID_ASSERT(vw == grid->lSites()*sizeof(scalar_object)/sizeof(scalar));
-
-    RealD t0 = usecond();
-    BLAS_X.resize(nrhs * vw); // cost free if size doesn't change
-    BLAS_Y.resize(nrhs * vw); // cost free if size doesn't change
-    BLAS_Cred.resize(nrhs * nrhs * vol);// cost free if size doesn't change
-    RealD t1 = usecond();
-
-    /////////////////////////////////////////////
-    // Copy in the multi-rhs sources -- layout batched BLAS ready
-    /////////////////////////////////////////////
-    for(int r=0;r<nrhs;r++){
-      autoView(x_v,X[r],AcceleratorRead);
-      autoView(y_v,Y[r],AcceleratorRead);
-      scalar *from_x=(scalar *)&x_v[0];
-      scalar *from_y=(scalar *)&y_v[0];
-      scalar *BX = &BLAS_X[0];
-      scalar *BY = &BLAS_Y[0];
-      accelerator_for(ssw,vw,1,{
-	  uint64_t ss=ssw/words;
-	  uint64_t  w=ssw%words;
-	  uint64_t offset = w+r*words+ss*nrhs*words; // [ss][rhs][words]
-	  BX[offset] = from_x[ssw];
-	  BY[offset] = from_y[ssw];
-	});
-    }
-    RealD t2 = usecond();
-
-  /*
-   * in Fortran column major notation (cuBlas order)
-   *
-   * Xxr = [X1(x)][..][Xn(x)]
-   *
-   * Yxr = [Y1(x)][..][Ym(x)]
-   *
-   * C_rs = X^dag Y
-   */
-    Xdip.resize(vol);
-    Ydip.resize(vol);
-    Cdip.resize(vol);
-    std::vector<scalar *> Xh(vol);
-    std::vector<scalar *> Yh(vol);
-    std::vector<scalar *> Ch(vol);
-    for(uint64_t ss=0;ss<vol;ss++){
-
-      Xh[ss] = & BLAS_X[ss*nrhs*words];
-      Yh[ss] = & BLAS_Y[ss*nrhs*words];
-      Ch[ss] = & BLAS_Cred[ss*nrhs*nrhs];
-
-    }
-    acceleratorCopyToDevice(&Xh[0],&Xdip[0],vol*sizeof(scalar *));
-    acceleratorCopyToDevice(&Yh[0],&Ydip[0],vol*sizeof(scalar *));
-    acceleratorCopyToDevice(&Ch[0],&Cdip[0],vol*sizeof(scalar *));
-    
-    GridBLAS BLAS;
-
-    RealD t3 = usecond();
-    /////////////////////////////////////////
-    // C_rs = X^dag Y
-    /////////////////////////////////////////
-    BLAS.gemmBatched(GridBLAS_OP_C,GridBLAS_OP_N, 
-    		     nrhs,nrhs,words,
-		     ComplexD(1.0),
-		     Xdip,
-		     Ydip,
-		     ComplexD(0.0),  // wipe out C
-		     Cdip);
-    BLAS.synchronise();
-    RealD t4 = usecond();
-
-    std::vector<scalar> HOST_C(BLAS_Cred.size());      // nrhs . nrhs -- the coefficients 
-    acceleratorCopyFromDevice(&BLAS_Cred[0],&HOST_C[0],BLAS_Cred.size()*sizeof(scalar));
-
-    RealD t5 = usecond();
-    m = Eigen::MatrixXcd::Zero(nrhs,nrhs);
-    for(int ss=0;ss<vol;ss++){
-      Eigen::Map<Eigen::MatrixXcd> eC((std::complex<double> *)&HOST_C[ss*nrhs*nrhs],nrhs,nrhs);
-      m = m + eC;
-    }
-    RealD t6l = usecond();
-    grid->GlobalSumVector((scalar *) &m(0,0),nrhs*nrhs);
-    RealD t6 = usecond();
-    uint64_t M=nrhs;
-    uint64_t N=nrhs;
-    uint64_t K=vw;
-    RealD xybytes = grid->lSites()*sizeof(scalar_object);
-    RealD bytes = 1.0*sizeof(ComplexD)*(M*N*2+N*K+M*K);
-    RealD flops = 8.0*M*N*K;
-    flops = flops/(t4-t3)/1.e3;
-    bytes = bytes/(t4-t3)/1.e3;
-    xybytes = 4*xybytes/(t2-t1)/1.e3;
-    std::cout <<GridLogPerformance<< "InnerProductMatrix m,n,k "<< M<<","<<N<<","<<K<<std::endl;
-    std::cout <<GridLogPerformance<< "InnerProductMatrix alloc t1 "<< t1-t0<<" us"<<std::endl;
-    std::cout <<GridLogPerformance<< "InnerProductMatrix cp    t2 "<< t2-t1<<" us "<<xybytes<<" GB/s"<<std::endl;
-    std::cout <<GridLogPerformance<< "InnerProductMatrix setup t3 "<< t3-t2<<" us"<<std::endl;
-    std::cout <<GridLogPerformance<< "InnerProductMatrix blas t4 "<< t4-t3<<" us"<<std::endl;
-    std::cout <<GridLogPerformance<< "InnerProductMatrix blas    "<< flops<<" GF/s"<<std::endl;
-    std::cout <<GridLogPerformance<< "InnerProductMatrix blas    "<< bytes<<" GB/s"<<std::endl;
-    std::cout <<GridLogPerformance<< "InnerProductMatrix cp     t5 "<< t5-t4<<" us"<<std::endl;
-    std::cout <<GridLogPerformance<< "InnerProductMatrix lsum   t6l "<< t6l-t5<<" us"<<std::endl;
-    std::cout <<GridLogPerformance<< "InnerProductMatrix gsum   t6 "<< t6-t6l<<" us"<<std::endl;
-    std::cout <<GridLogPerformance<< "InnerProductMatrix took "<< t6-t0<<" us"<<std::endl;
-#endif
-  }
-};
-
-NAMESPACE_END(Grid);

Grid/algorithms/deflation/MultiRHSDeflation.h

@@ -1,233 +0,0 @@
-/*************************************************************************************
-
-    Grid physics library, www.github.com/paboyle/Grid 
-
-    Source file: MultiRHSDeflation.h
-
-    Copyright (C) 2023
-
-Author: Peter Boyle <pboyle@bnl.gov>
-
-    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 */
-#pragma once
-
-NAMESPACE_BEGIN(Grid);
-
-
-/* Need helper object for BLAS accelerated mrhs projection
-
-   i) MultiRHS Deflation
-
-   Import Evecs -> nev x vol x internal 
-   Import vector of Lattice objects -> nrhs x vol x internal
-   => Cij (nrhs x Nev) via GEMM.
-   => Guess  (nrhs x vol x internal)  = C x evecs (via GEMM)
-   Export
-
-   
-   ii) MultiRHS block projection
-
-   Import basis -> nblock x nbasis x  (block x internal) 
-   Import vector of fine lattice objects -> nblock x nrhs x (block x internal) 
-
-   => coarse_(nrhs x nbasis )^block = via batched GEMM
-
-   iii)   Alternate interface: 
-   Import higher dim Lattice object-> vol x nrhs layout
-   
-*/
-template<class Field>
-class MultiRHSDeflation
-{
-public:
-
-  typedef typename Field::scalar_type   scalar;
-  typedef typename Field::scalar_object scalar_object;
-
-  int nev;
-  std::vector<RealD> eval;
-  GridBase *grid;
-  uint64_t vol;
-  uint64_t words;
-  
-  deviceVector<scalar> BLAS_E;      //  nev x vol -- the eigenbasis   (up to a 1/sqrt(lambda))
-  deviceVector<scalar> BLAS_R;      // nrhs x vol -- the sources
-  deviceVector<scalar> BLAS_G;      // nrhs x vol -- the guess
-  deviceVector<scalar> BLAS_C;      // nrhs x nev -- the coefficients 
-  
-  MultiRHSDeflation(){};
-  ~MultiRHSDeflation(){ Deallocate(); };
-  
-  void Deallocate(void)
-  {
-    nev=0;
-    grid=nullptr;
-    vol=0;
-    words=0;
-    BLAS_E.resize(0);
-    BLAS_R.resize(0);
-    BLAS_C.resize(0);
-    BLAS_G.resize(0);
-  }
-  void Allocate(int _nev,GridBase *_grid)
-  {
-    nev=_nev;
-    grid=_grid;
-    vol   = grid->lSites();
-    words = sizeof(scalar_object)/sizeof(scalar);
-    eval.resize(nev);
-    BLAS_E.resize (vol * words * nev );
-    std::cout << GridLogMessage << " Allocate for "<<nev<<" eigenvectors and volume "<<vol<<std::endl;
-  }
-  void ImportEigenVector(Field &evec,RealD &_eval, int ev)
-  {
-    //    std::cout << " ev " <<ev<<" eval "<<_eval<< std::endl;
-    GRID_ASSERT(ev<eval.size());
-    eval[ev] = _eval;
-
-    int64_t offset = ev*vol*words;
-    autoView(v,evec,AcceleratorRead);
-    acceleratorCopyDeviceToDevice(&v[0],&BLAS_E[offset],sizeof(scalar_object)*vol);
-
-  }
-  void ImportEigenBasis(std::vector<Field> &evec,std::vector<RealD> &_eval)
-  {
-    ImportEigenBasis(evec,_eval,0,evec.size());
-  }
-  // Could use to import a batch of eigenvectors
-  void ImportEigenBasis(std::vector<Field> &evec,std::vector<RealD> &_eval, int _ev0, int _nev)
-  {
-    GRID_ASSERT(_ev0+_nev<=evec.size());
-
-    Allocate(_nev,evec[0].Grid());
-    
-    // Imports a sub-batch of eigenvectors, _ev0, ..., _ev0+_nev-1
-    for(int e=0;e<nev;e++){
-      std::cout << "Importing eigenvector "<<e<<" evalue "<<_eval[_ev0+e]<<std::endl;
-      ImportEigenVector(evec[_ev0+e],_eval[_ev0+e],e);
-    }
-  }
-  void DeflateSources(std::vector<Field> &source,std::vector<Field> & guess)
-  {
-    int nrhs = source.size();
-    GRID_ASSERT(source.size()==guess.size());
-    GRID_ASSERT(grid == guess[0].Grid());
-    conformable(guess[0],source[0]);
-
-    int64_t vw = vol * words;
-
-    RealD t0 = usecond();
-    BLAS_R.resize(nrhs * vw); // cost free if size doesn't change
-    BLAS_G.resize(nrhs * vw); // cost free if size doesn't change
-    BLAS_C.resize(nev * nrhs);// cost free if size doesn't change
-
-    /////////////////////////////////////////////
-    // Copy in the multi-rhs sources
-    /////////////////////////////////////////////
-    //    for(int r=0;r<nrhs;r++){
-    //      std::cout << " source["<<r<<"] = "<<norm2(source[r])<<std::endl;
-    //    }
-    for(int r=0;r<nrhs;r++){
-      int64_t offset = r*vw;
-      autoView(v,source[r],AcceleratorRead);
-      acceleratorCopyDeviceToDevice(&v[0],&BLAS_R[offset],sizeof(scalar_object)*vol);
-    }
-
-  /*
-   * in Fortran column major notation (cuBlas order)
-   *
-   * Exe = [e1(x)][..][en(x)]
-   *
-   * Rxr = [r1(x)][..][rm(x)]
-   *
-   * C_er = E^dag R
-   * C_er = C_er / lambda_e 
-   * G_xr = Exe Cer
-   */
-    deviceVector<scalar *> Ed(1);
-    deviceVector<scalar *> Rd(1);
-    deviceVector<scalar *> Cd(1);
-    deviceVector<scalar *> Gd(1);
-
-    scalar * Eh = & BLAS_E[0];
-    scalar * Rh = & BLAS_R[0];
-    scalar * Ch = & BLAS_C[0];
-    scalar * Gh = & BLAS_G[0];
-
-    acceleratorPut(Ed[0],Eh);
-    acceleratorPut(Rd[0],Rh);
-    acceleratorPut(Cd[0],Ch);
-    acceleratorPut(Gd[0],Gh);
-
-    GridBLAS BLAS;
-
-    /////////////////////////////////////////
-    // C_er = E^dag R
-    /////////////////////////////////////////
-    BLAS.gemmBatched(GridBLAS_OP_C,GridBLAS_OP_N, 
-    		     nev,nrhs,vw,
-		     scalar(1.0),
-		     Ed,
-		     Rd,
-		     scalar(0.0),  // wipe out C
-		     Cd);
-    BLAS.synchronise();
-
-    GRID_ASSERT(BLAS_C.size()==nev*nrhs);
-
-    std::vector<scalar> HOST_C(BLAS_C.size());      // nrhs . nev -- the coefficients 
-    acceleratorCopyFromDevice(&BLAS_C[0],&HOST_C[0],BLAS_C.size()*sizeof(scalar));
-    grid->GlobalSumVector(&HOST_C[0],nev*nrhs);
-    for(int e=0;e<nev;e++){
-      RealD lam(1.0/eval[e]);
-      for(int r=0;r<nrhs;r++){
-	int off = e+nev*r;
-	HOST_C[off]=HOST_C[off] * lam;
-	//	std::cout << "C["<<e<<"]["<<r<<"] ="<<HOST_C[off]<< " eval[e] "<<eval[e] <<std::endl;
-      }
-    }
-    acceleratorCopyToDevice(&HOST_C[0],&BLAS_C[0],BLAS_C.size()*sizeof(scalar));
-
-    
-    /////////////////////////////////////////
-    // Guess G_xr = Exe Cer
-    /////////////////////////////////////////
-    BLAS.gemmBatched(GridBLAS_OP_N,GridBLAS_OP_N, 
-		     vw,nrhs,nev,
-		     scalar(1.0),
-		     Ed, // x . nev
-		     Cd, // nev . nrhs
-		     scalar(0.0),
-		     Gd);
-    BLAS.synchronise();
-
-    ///////////////////////////////////////
-    // Copy out the multirhs
-    ///////////////////////////////////////
-    for(int r=0;r<nrhs;r++){
-      int64_t offset = r*vw;
-      autoView(v,guess[r],AcceleratorWrite);
-      acceleratorCopyDeviceToDevice(&BLAS_G[offset],&v[0],sizeof(scalar_object)*vol);
-    }
-    RealD t1 = usecond();
-    std::cout << GridLogMessage << "MultiRHSDeflation for "<<nrhs<<" sources with "<<nev<<" eigenvectors took " << (t1-t0)/1e3 <<" ms"<<std::endl;
-  }
-};
-
-NAMESPACE_END(Grid);

Grid/algorithms/iterative/AdefGeneric.h

@@ -33,134 +33,109 @@ Author: Peter Boyle <paboyle@ph.ed.ac.uk>
    * Script A = SolverMatrix 
    * Script P = Preconditioner
    *
+   * Deflation methods considered
+   *      -- Solve P A x = P b        [ like Luscher ]
+   * DEF-1        M P A x = M P b     [i.e. left precon]
+   * DEF-2        P^T M A x = P^T M b
+   * ADEF-1       Preconditioner = M P + Q      [ Q + M + M A Q]
+   * ADEF-2       Preconditioner = P^T M + Q
+   * BNN          Preconditioner = P^T M P + Q
+   * BNN2         Preconditioner = M P + P^TM +Q - M P A M 
+   * 
    * Implement ADEF-2
    *
    * Vstart = P^Tx + Qb
    * M1 = P^TM + Q
    * M2=M3=1
+   * Vout = x
    */
-NAMESPACE_BEGIN(Grid);
 
-
+// abstract base
-template<class Field>
+template<class Field, class CoarseField>
-class TwoLevelCG : public LinearFunction<Field>
+class TwoLevelFlexiblePcg : public LinearFunction<Field>
 {
  public:
+  int verbose;
   RealD   Tolerance;
   Integer MaxIterations;
+  const int mmax = 5;
   GridBase *grid;
+  GridBase *coarsegrid;
 
-  // Fine operator, Smoother, CoarseSolver
+  LinearOperatorBase<Field>   *_Linop
-  LinearOperatorBase<Field>   &_FineLinop;
+  OperatorFunction<Field>     *_Smoother,
-  LinearFunction<Field>   &_Smoother;
+  LinearFunction<CoarseField> *_CoarseSolver;
 
-  GridStopWatch ProjectTimer;
+  // Need somthing that knows how to get from Coarse to fine and back again
-  GridStopWatch PromoteTimer;
-  GridStopWatch CoarseTimer;
-  GridStopWatch SmoothTimer;
-  GridStopWatch MatrixTimer;
-  GridStopWatch M3Timer;
-  GridStopWatch LinalgTimer;
-
-  int64_t M3Calls;
-  int64_t SmoothCalls;
-  int64_t MatrixCalls;
-  int64_t ProjectCalls;
-  int64_t CoarseCalls;
-  int64_t PromoteCalls;
   
   // more most opertor functions
-  TwoLevelCG(RealD tol,
+  TwoLevelFlexiblePcg(RealD tol,
-	     Integer maxit,
+		     Integer maxit,
-	     LinearOperatorBase<Field>   &FineLinop,
+		     LinearOperatorBase<Field> *Linop,
-	     LinearFunction<Field>       &Smoother,
+		     LinearOperatorBase<Field> *SmootherLinop,
-	     GridBase *fine) : 
+		     OperatorFunction<Field>   *Smoother,
+		     OperatorFunction<CoarseField>  CoarseLinop
+		     ) : 
       Tolerance(tol), 
       MaxIterations(maxit),
-      _FineLinop(FineLinop),
+      _Linop(Linop),
-      _Smoother(Smoother)
+      _PreconditionerLinop(PrecLinop),
+      _Preconditioner(Preconditioner)
   { 
-    grid       = fine;
+    verbose=0;
   };
 
-  virtual void operator() (const Field &src, Field &x)
+  // The Pcg routine is common to all, but the various matrices differ from derived 
-  {
+  // implementation to derived implmentation
-    std::cout << GridLogMessage<<"HDCG: fPcg starting single RHS"<<std::endl;
+  void operator() (const Field &src, Field &psi){
+  void operator() (const Field &src, Field &psi){
+
+    psi.checkerboard = src.checkerboard;
+    grid             = src._grid;
+
     RealD f;
     RealD rtzp,rtz,a,d,b;
     RealD rptzp;
+    RealD tn;
+    RealD guess = norm2(psi);
+    RealD ssq   = norm2(src);
+    RealD rsq   = ssq*Tolerance*Tolerance;
     
     /////////////////////////////
     // Set up history vectors
     /////////////////////////////
-    int mmax = 5;
+    std::vector<Field> p  (mmax,grid);
-    std::cout << GridLogMessage<<"HDCG: fPcg allocating"<<std::endl;
-    std::vector<Field> p(mmax,grid);
     std::vector<Field> mmp(mmax,grid);
     std::vector<RealD> pAp(mmax);
-    Field z(grid);
+
+    Field x  (grid); x = psi;
+    Field z  (grid);
     Field tmp(grid);
-    Field  mp (grid);
+    Field r  (grid);
-    Field  r  (grid);
+    Field mu (grid);
-    Field  mu (grid);
   
-    std::cout << GridLogMessage<<"HDCG: fPcg allocated"<<std::endl;
-    //Initial residual computation & set up
-    RealD guess   = norm2(x);
-    std::cout << GridLogMessage<<"HDCG: fPcg guess nrm "<<guess<<std::endl;
-    RealD src_nrm = norm2(src);
-    std::cout << GridLogMessage<<"HDCG: fPcg src nrm "<<src_nrm<<std::endl;
-    
-    if ( src_nrm == 0.0 ) {
-      std::cout << GridLogMessage<<"HDCG: fPcg given trivial source norm "<<src_nrm<<std::endl;
-      x=Zero();
-    }
-    RealD tn;
-    
-    GridStopWatch HDCGTimer;
-    ProjectTimer.Reset();
-    PromoteTimer.Reset();
-    CoarseTimer.Reset();
-    SmoothTimer.Reset();
-    MatrixTimer.Reset();
-    M3Timer.Reset();
-    LinalgTimer.Reset();
-    M3Calls = SmoothCalls = MatrixCalls = ProjectCalls = CoarseCalls = PromoteCalls = 0;
-    HDCGTimer.Start();
     //////////////////////////
     // x0 = Vstart -- possibly modify guess
     //////////////////////////
+    x=src;
     Vstart(x,src);
 
     // r0 = b -A x0
-    _FineLinop.HermOp(x,mmp[0]);
+    HermOp(x,mmp); // Shouldn't this be something else?
     axpy (r, -1.0,mmp[0], src);    // Recomputes r=src-Ax0
-    {
-      double n1 = norm2(x);
-      double n2 = norm2(mmp[0]);
-      double n3 = norm2(r);
-      std::cout<<GridLogMessage<<"x,vstart,r = "<<n1<<" "<<n2<<" "<<n3<<std::endl;
-    }
 
     //////////////////////////////////
     // Compute z = M1 x
     //////////////////////////////////
-    PcgM1(r,z);
+    M1(r,z,tmp,mp,SmootherMirs);
     rtzp =real(innerProduct(r,z));
 
     ///////////////////////////////////////
     // Solve for Mss mu = P A z and set p = z-mu
-    // Def2 p = 1 - Q Az = Pright z
+    // Def2: p = 1 - Q Az = Pright z 
     // Other algos M2 is trivial
     ///////////////////////////////////////
-    PcgM2(z,p[0]);
+    M2(z,p[0]);
-
-    RealD ssq =  norm2(src);
-    RealD rsq =  ssq*Tolerance*Tolerance;
-
-    std::cout << GridLogMessage<<"HDCG: k=0 residual "<<rtzp<<" rsq "<<rsq<<"\n";
-
-    Field pp(grid);
 
     for (int k=0;k<=MaxIterations;k++){
     
@@ -168,53 +143,31 @@ class TwoLevelCG : public LinearFunction<Field>
       int peri_kp = (k+1) % mmax;
 
       rtz=rtzp;
-      M3Timer.Start();
+      d= M3(p[peri_k],mp,mmp[peri_k],tmp);
-      d= PcgM3(p[peri_k],mmp[peri_k]);
-      M3Timer.Stop();
-      M3Calls++;
       a = rtz/d;
     
       // Memorise this
       pAp[peri_k] = d;
 
-      LinalgTimer.Start();
       axpy(x,a,p[peri_k],x);
       RealD rn = axpy_norm(r,-a,mmp[peri_k],r);
-      LinalgTimer.Stop();
 
       // Compute z = M x
-      PcgM1(r,z);
+      M1(r,z,tmp,mp);
 
-      {
-	RealD n1,n2;
-	n1=norm2(r);
-	n2=norm2(z);
-	std::cout << GridLogMessage<<"HDCG::fPcg iteration "<<k<<" : vector r,z "<<n1<<" "<<n2<<"\n";
-      }
-      LinalgTimer.Start();
       rtzp =real(innerProduct(r,z));
-      LinalgTimer.Stop();
-      std::cout << GridLogMessage<<"HDCG::fPcg iteration "<<k<<" : inner rtzp "<<rtzp<<"\n";
 
-      //    PcgM2(z,p[0]);
+      M2(z,mu); // ADEF-2 this is identity. Axpy possible to eliminate
-      PcgM2(z,mu); // ADEF-2 this is identity. Axpy possible to eliminate
 
-      p[peri_kp]=mu;
+      p[peri_kp]=p[peri_k];
 
-      // Standard search direction  p -> z + b p
+      // Standard search direction  p -> z + b p    ; b = 
       b = (rtzp)/rtz;
 
       int northog;
-      // k=zero  <=> peri_kp=1;        northog = 1
-      // k=1     <=> peri_kp=2;        northog = 2
-      // ...               ...                  ...
-      // k=mmax-2<=> peri_kp=mmax-1;   northog = mmax-1
-      // k=mmax-1<=> peri_kp=0;        northog = 1
-
       //    northog     = (peri_kp==0)?1:peri_kp; // This is the fCG(mmax) algorithm
       northog     = (k>mmax-1)?(mmax-1):k;        // This is the fCG-Tr(mmax-1) algorithm
     
-      std::cout<<GridLogMessage<<"HDCG::fPcg iteration "<<k<<" : orthogonalising to last "<<northog<<" vectors\n";
       for(int back=0; back < northog; back++){
 	int peri_back = (k-back)%mmax;
 	RealD pbApk= real(innerProduct(mmp[peri_back],p[peri_kp]));
@@ -223,335 +176,75 @@ class TwoLevelCG : public LinearFunction<Field>
       }
 
       RealD rrn=sqrt(rn/ssq);
-      RealD rtn=sqrt(rtz/ssq);
+      std::cout<<GridLogMessage<<"TwoLevelfPcg: k= "<<k<<" residual = "<<rrn<<std::endl;
-      RealD rtnp=sqrt(rtzp/ssq);
-
-      std::cout<<GridLogMessage<<"HDCG: fPcg k= "<<k<<" residual = "<<rrn<<"\n";
 
       // Stopping condition
       if ( rn <= rsq ) { 
 
-	HDCGTimer.Stop();
+	HermOp(x,mmp); // Shouldn't this be something else?
-	std::cout<<GridLogMessage<<"HDCG: fPcg converged in "<<k<<" iterations and "<<HDCGTimer.Elapsed()<<std::endl;
-	std::cout<<GridLogMessage<<"HDCG: fPcg breakdown"<<std::endl;
-	auto mspc = [](GridStopWatch &sw, int64_t n) -> double {
-	  return (n > 0) ? sw.useconds() * 1e-3 / n : 0.0;
-	};
-	std::cout<<GridLogMessage<<"HDCG: fPcg M3 (fine MVM)  "<<M3Timer.Elapsed()
-		 <<"  "<<M3Calls<<" calls  "<<mspc(M3Timer,M3Calls)<<" ms/call"<<std::endl;
-	std::cout<<GridLogMessage<<"HDCG: fPcg linalg         "<<LinalgTimer.Elapsed()<<std::endl;
-	std::cout<<GridLogMessage<<"HDCG: fPcg smoother       "<<SmoothTimer.Elapsed()
-		 <<"  "<<SmoothCalls<<" calls  "<<mspc(SmoothTimer,SmoothCalls)<<" ms/call"<<std::endl;
-	std::cout<<GridLogMessage<<"HDCG: fPcg matrix (in M1) "<<MatrixTimer.Elapsed()
-		 <<"  "<<MatrixCalls<<" calls  "<<mspc(MatrixTimer,MatrixCalls)<<" ms/call"<<std::endl;
-	std::cout<<GridLogMessage<<"HDCG: fPcg project        "<<ProjectTimer.Elapsed()
-		 <<"  "<<ProjectCalls<<" calls  "<<mspc(ProjectTimer,ProjectCalls)<<" ms/call"<<std::endl;
-	std::cout<<GridLogMessage<<"HDCG: fPcg coarse         "<<CoarseTimer.Elapsed()
-		 <<"  "<<CoarseCalls<<" calls  "<<mspc(CoarseTimer,CoarseCalls)<<" ms/call"<<std::endl;
-	std::cout<<GridLogMessage<<"HDCG: fPcg promote        "<<PromoteTimer.Elapsed()
-		 <<"  "<<PromoteCalls<<" calls  "<<mspc(PromoteTimer,PromoteCalls)<<" ms/call"<<std::endl;
-
-	_FineLinop.HermOp(x,mmp[0]);			  
 	axpy(tmp,-1.0,src,mmp[0]);
 	
-	RealD  mmpnorm = sqrt(norm2(mmp[0]));
+	RealD psinorm = sqrt(norm2(x));
-	RealD  xnorm   = sqrt(norm2(x));
+	RealD srcnorm = sqrt(norm2(src));
-	RealD  srcnorm = sqrt(norm2(src));
+	RealD tmpnorm = sqrt(norm2(tmp));
-	RealD  tmpnorm = sqrt(norm2(tmp));
+	RealD true_residual = tmpnorm/srcnorm;
-	RealD  true_residual = tmpnorm/srcnorm;
+	std::cout<<GridLogMessage<<"TwoLevelfPcg:   true residual is "<<true_residual<<std::endl;
-	std::cout<<GridLogMessage
+	std::cout<<GridLogMessage<<"TwoLevelfPcg: target residual was"<<Tolerance<<std::endl;
-	       <<"HDCG: true residual is "<<true_residual
+	return k;
-	       <<" solution "<<xnorm
-	       <<" source "<<srcnorm
-	       <<" mmp "<<mmpnorm	  
-	       <<std::endl;
-      
-	return;
       }
-
     }
-    HDCGTimer.Stop();
+    // Non-convergence
-    std::cout<<GridLogMessage<<"HDCG: not converged "<<HDCGTimer.Elapsed()<<std::endl;
+    assert(0);
-    RealD  xnorm   = sqrt(norm2(x));
-    RealD  srcnorm = sqrt(norm2(src));
-    std::cout<<GridLogMessage<<"HDCG: non-converged solution "<<xnorm<<" source "<<srcnorm<<std::endl;
   }
 
-
-
-  virtual void operator() (std::vector<Field> &src, std::vector<Field> &x)
-  {
-    std::cout << GridLogMessage<<"HDCG: mrhs fPcg starting"<<std::endl;
-    src[0].Grid()->Barrier();
-    int nrhs = src.size();
-    std::vector<RealD> f(nrhs);
-    std::vector<RealD> rtzp(nrhs);
-    std::vector<RealD> rtz(nrhs);
-    std::vector<RealD> a(nrhs);
-    std::vector<RealD> d(nrhs);
-    std::vector<RealD> b(nrhs);
-    std::vector<RealD> rptzp(nrhs);
-    /////////////////////////////
-    // Set up history vectors
-    /////////////////////////////
-    int mmax = 3;
-    std::cout << GridLogMessage<<"HDCG: fPcg allocating"<<std::endl;
-    src[0].Grid()->Barrier();
-    std::vector<std::vector<Field> > p(nrhs);   for(int r=0;r<nrhs;r++)  p[r].resize(mmax,grid);
-    std::cout << GridLogMessage<<"HDCG: fPcg allocated p"<<std::endl;
-    src[0].Grid()->Barrier();
-    std::vector<std::vector<Field> > mmp(nrhs); for(int r=0;r<nrhs;r++) mmp[r].resize(mmax,grid);
-    std::cout << GridLogMessage<<"HDCG: fPcg allocated mmp"<<std::endl;
-    src[0].Grid()->Barrier();
-    std::vector<std::vector<RealD> > pAp(nrhs); for(int r=0;r<nrhs;r++) pAp[r].resize(mmax);
-    std::cout << GridLogMessage<<"HDCG: fPcg allocated pAp"<<std::endl;
-    src[0].Grid()->Barrier();
-    std::vector<Field> z(nrhs,grid);
-    std::vector<Field>  mp (nrhs,grid);
-    std::vector<Field>  r  (nrhs,grid);
-    std::vector<Field>  mu (nrhs,grid);
-    std::cout << GridLogMessage<<"HDCG: fPcg allocated z,mp,r,mu"<<std::endl;
-    src[0].Grid()->Barrier();
-
-    //Initial residual computation & set up
-    std::vector<RealD> src_nrm(nrhs);
-    for(int rhs=0;rhs<nrhs;rhs++) {
-      src_nrm[rhs]=norm2(src[rhs]);
-      GRID_ASSERT(src_nrm[rhs]!=0.0);
-    }
-    std::vector<RealD> tn(nrhs);
-
-    GridStopWatch HDCGTimer;
-    HDCGTimer.Start();
-    //////////////////////////
-    // x0 = Vstart -- possibly modify guess
-    //////////////////////////
-    Vstart(x,src);
-
-    for(int rhs=0;rhs<nrhs;rhs++){
-      // r0 = b -A x0
-      _FineLinop.HermOp(x[rhs],mmp[rhs][0]);
-      axpy (r[rhs], -1.0,mmp[rhs][0], src[rhs]);    // Recomputes r=src-Ax0
-    }
-
-    //////////////////////////////////
-    // Compute z = M1 x
-    //////////////////////////////////
-    // This needs a multiRHS version for acceleration
-    PcgM1(r,z);
-
-    std::vector<RealD> ssq(nrhs);
-    std::vector<RealD> rsq(nrhs);
-    std::vector<Field> pp(nrhs,grid);
-
-    for(int rhs=0;rhs<nrhs;rhs++){
-      rtzp[rhs] =real(innerProduct(r[rhs],z[rhs]));
-      p[rhs][0]=z[rhs];
-      ssq[rhs]=norm2(src[rhs]);
-      rsq[rhs]=  ssq[rhs]*Tolerance*Tolerance;
-      std::cout << GridLogMessage<<"mrhs HDCG: "<<rhs<<" k=0 residual "<<rtzp[rhs]<<" rsq "<<rsq[rhs]<<"\n";
-    }
-
-    std::vector<RealD> rn(nrhs);
-    for (int k=0;k<=MaxIterations;k++){
-    
-      int peri_k  = k % mmax;
-      int peri_kp = (k+1) % mmax;
-
-      for(int rhs=0;rhs<nrhs;rhs++){
-	rtz[rhs]=rtzp[rhs];
-	d[rhs]= PcgM3(p[rhs][peri_k],mmp[rhs][peri_k]);
-	a[rhs] = rtz[rhs]/d[rhs];
-    
-	// Memorise this
-	pAp[rhs][peri_k] = d[rhs];
-
-	axpy(x[rhs],a[rhs],p[rhs][peri_k],x[rhs]);
-	rn[rhs] = axpy_norm(r[rhs],-a[rhs],mmp[rhs][peri_k],r[rhs]);
-      }
-
-      // Compute z = M x (for *all* RHS)
-      PcgM1(r,z);
-      std::cout << GridLogMessage<<"HDCG::fPcg M1 complete"<<std::endl;
-      grid->Barrier();
-      
-      RealD max_rn=0.0;
-      for(int rhs=0;rhs<nrhs;rhs++){
-
-	rtzp[rhs] =real(innerProduct(r[rhs],z[rhs]));
-
-	std::cout << GridLogMessage<<"HDCG::fPcg rhs"<<rhs<<" iteration "<<k<<" : inner rtzp "<<rtzp[rhs]<<"\n";
-	
-	mu[rhs]=z[rhs];
-
-	p[rhs][peri_kp]=mu[rhs];
-
-	// Standard search direction p == z + b p 
-	b[rhs] = (rtzp[rhs])/rtz[rhs];
-
-	int northog = (k>mmax-1)?(mmax-1):k;        // This is the fCG-Tr(mmax-1) algorithm
-	std::cout<<GridLogMessage<<"HDCG::fPcg iteration "<<k<<" : orthogonalising to last "<<northog<<" vectors\n";
-	for(int back=0; back < northog; back++){
-	  int peri_back = (k-back)%mmax;
-	  RealD pbApk= real(innerProduct(mmp[rhs][peri_back],p[rhs][peri_kp]));
-	  RealD beta = -pbApk/pAp[rhs][peri_back];
-	  axpy(p[rhs][peri_kp],beta,p[rhs][peri_back],p[rhs][peri_kp]);
-	}
-
-	RealD rrn=sqrt(rn[rhs]/ssq[rhs]);
-	RealD rtn=sqrt(rtz[rhs]/ssq[rhs]);
-	RealD rtnp=sqrt(rtzp[rhs]/ssq[rhs]);
-	
-	std::cout<<GridLogMessage<<"HDCG: rhs "<<rhs<<"fPcg k= "<<k<<" residual = "<<rrn<<"\n";
-	if ( rrn > max_rn ) max_rn = rrn;
-      }
-
-      // Stopping condition based on worst case
-      if ( max_rn <= Tolerance ) { 
-
-	HDCGTimer.Stop();
-	std::cout<<GridLogMessage<<"HDCG: mrhs fPcg converged in "<<k<<" iterations and "<<HDCGTimer.Elapsed()<<std::endl;;
-
-	for(int rhs=0;rhs<nrhs;rhs++){
-	  _FineLinop.HermOp(x[rhs],mmp[rhs][0]);			  
-	  Field tmp(grid);
-	  axpy(tmp,-1.0,src[rhs],mmp[rhs][0]);
-      
-	  RealD  mmpnorm = sqrt(norm2(mmp[rhs][0]));
-	  RealD  xnorm   = sqrt(norm2(x[rhs]));
-	  RealD  srcnorm = sqrt(norm2(src[rhs]));
-	  RealD  tmpnorm = sqrt(norm2(tmp));
-	  RealD  true_residual = tmpnorm/srcnorm;
-	  std::cout<<GridLogMessage
-		   <<"HDCG: true residual ["<<rhs<<"] is "<<true_residual
-		   <<" solution "<<xnorm
-		   <<" source "<<srcnorm
-		   <<" mmp "<<mmpnorm	  
-		   <<std::endl;
-	}
-	return;
-      }
-      
-    }
-    HDCGTimer.Stop();
-    std::cout<<GridLogMessage<<"HDCG: not converged "<<HDCGTimer.Elapsed()<<std::endl;
-    for(int rhs=0;rhs<nrhs;rhs++){
-      RealD  xnorm   = sqrt(norm2(x[rhs]));
-      RealD  srcnorm = sqrt(norm2(src[rhs]));
-      std::cout<<GridLogMessage<<"HDCG: non-converged solution "<<xnorm<<" source "<<srcnorm<<std::endl;
-    }
-  }
-  
-
  public:
 
-  virtual void PcgM1(std::vector<Field> & in,std::vector<Field> & out)
+  virtual void M(Field & in,Field & out,Field & tmp) {
-  {
-    std::cout << "PcgM1 default (cheat) mrhs version"<<std::endl;
-    for(int rhs=0;rhs<in.size();rhs++){
-      this->PcgM1(in[rhs],out[rhs]);
-    }
-  }
-  virtual void PcgM1(Field & in, Field & out)     =0;
-  virtual void Vstart(std::vector<Field> & x,std::vector<Field> & src)
-  {
-    std::cout << "Vstart default (cheat) mrhs version"<<std::endl;
-    for(int rhs=0;rhs<x.size();rhs++){
-      this->Vstart(x[rhs],src[rhs]);
-    }
-  }
-  virtual void Vstart(Field & x,const Field & src)=0;
 
-  virtual void PcgM2(const Field & in, Field & out) {
-    out=in;
   }
 
-  virtual RealD PcgM3(const Field & p, Field & mmp){
+  virtual void M1(Field & in, Field & out) {// the smoother
-    RealD dd;
-    _FineLinop.HermOp(p,mmp);
-    ComplexD dot = innerProduct(p,mmp);
-    dd=real(dot);
-    return dd;
-  }
 
-  /////////////////////////////////////////////////////////////////////
-  // Only Def1 has non-trivial Vout.
-  /////////////////////////////////////////////////////////////////////
-
-};
-  
-template<class Field, class CoarseField, class Aggregation>
-class TwoLevelADEF2 : public TwoLevelCG<Field>
-{
- public:
-  ///////////////////////////////////////////////////////////////////////////////////
-  // Need something that knows how to get from Coarse to fine and back again
-  //  void ProjectToSubspace(CoarseVector &CoarseVec,const FineField &FineVec){
-  //  void PromoteFromSubspace(const CoarseVector &CoarseVec,FineField &FineVec){
-  ///////////////////////////////////////////////////////////////////////////////////
-  GridBase *coarsegrid;
-  Aggregation &_Aggregates;                    
-  LinearFunction<CoarseField> &_CoarseSolver;
-  LinearFunction<CoarseField> &_CoarseSolverPrecise;
-  ///////////////////////////////////////////////////////////////////////////////////
-  
-  // more most opertor functions
-  TwoLevelADEF2(RealD tol,
-		Integer maxit,
-		LinearOperatorBase<Field>    &FineLinop,
-		LinearFunction<Field>        &Smoother,
-		LinearFunction<CoarseField>  &CoarseSolver,
-		LinearFunction<CoarseField>  &CoarseSolverPrecise,
-		Aggregation &Aggregates
-		) :
-      TwoLevelCG<Field>(tol,maxit,FineLinop,Smoother,Aggregates.FineGrid),
-      _CoarseSolver(CoarseSolver),
-      _CoarseSolverPrecise(CoarseSolverPrecise),
-      _Aggregates(Aggregates)
-  {
-    coarsegrid = Aggregates.CoarseGrid;
-  };
-
-  virtual void PcgM1(Field & in, Field & out)
-  {
-    GRID_TRACE("MultiGridPreconditioner ");
     // [PTM+Q] in = [1 - Q A] M in + Q in = Min + Q [ in -A Min]
+    Field tmp(grid);
+    Field Min(grid);
 
-    Field tmp(this->grid);
+    PcgM(in,Min); // Smoother call
-    Field Min(this->grid);
-    CoarseField PleftProj(this->coarsegrid);
-    CoarseField PleftMss_proj(this->coarsegrid);
 
-    this->SmoothTimer.Start();
+    HermOp(Min,out);
-    this->_Smoother(in,Min);
-    this->SmoothTimer.Stop();
-    this->SmoothCalls++;
-
-    this->MatrixTimer.Start();
-    this->_FineLinop.HermOp(Min,out);
-    this->MatrixTimer.Stop();
-    this->MatrixCalls++;
     axpy(tmp,-1.0,out,in);          // tmp  = in - A Min
 
-    this->ProjectTimer.Start();
+    ProjectToSubspace(tmp,PleftProj);     
-    this->_Aggregates.ProjectToSubspace(PleftProj,tmp);
+    ApplyInverse(PleftProj,PleftMss_proj); // Ass^{-1} [in - A Min]_s
-    this->ProjectTimer.Stop();
+    PromoteFromSubspace(PleftMss_proj,tmp);// tmp = Q[in - A Min]  
-    this->ProjectCalls++;
-    this->CoarseTimer.Start();
-    this->_CoarseSolver(PleftProj,PleftMss_proj); // Ass^{-1} [in - A Min]_s
-    this->CoarseTimer.Stop();
-    this->CoarseCalls++;
-    this->PromoteTimer.Start();
-    this->_Aggregates.PromoteFromSubspace(PleftMss_proj,tmp);// tmp = Q[in - A Min]
-    this->PromoteTimer.Stop();
-    this->PromoteCalls++;
-
     axpy(out,1.0,Min,tmp); // Min+tmp
   }
 
-  virtual void Vstart(Field & x,const Field & src)
+  virtual void M2(const Field & in, Field & out) {
-  {
+    out=in;
-    std::cout << GridLogMessage<<"HDCG: fPcg Vstart "<<std::endl;
+    // Must override for Def2 only
+    //  case PcgDef2:
+    //    Pright(in,out);
+    //    break;
+  }
+
+  virtual RealD M3(const Field & p, Field & mmp){
+    double d,dd;
+    HermOpAndNorm(p,mmp,d,dd);
+    return dd;
+    // Must override for Def1 only
+    //  case PcgDef1:
+    //    d=linop_d->Mprec(p,mmp,tmp,0,1);// Dag no
+    //      linop_d->Mprec(mmp,mp,tmp,1);// Dag yes
+    //    Pleft(mp,mmp);
+    //    d=real(linop_d->inner(p,mmp));
+  }
+
+  virtual void VstartDef2(Field & xconst Field & src){
+    //case PcgDef2:
+    //case PcgAdef2: 
+    //case PcgAdef2f:
+    //case PcgV11f:
     ///////////////////////////////////
     // Choose x_0 such that 
     // x_0 = guess +  (A_ss^inv) r_s = guess + Ass_inv [src -Aguess]
@@ -563,78 +256,142 @@ class TwoLevelADEF2 : public TwoLevelCG<Field>
     //                   = src_s - (A guess)_s - src_s  + (A guess)_s 
     //                   = 0 
     ///////////////////////////////////
-    Field r(this->grid);
+    Field r(grid);
-    Field mmp(this->grid);
+    Field mmp(grid);
-    CoarseField PleftProj(this->coarsegrid);
-    CoarseField PleftMss_proj(this->coarsegrid);
     
-    std::cout << GridLogMessage<<"HDCG: fPcg Vstart projecting "<<std::endl;
+    HermOp(x,mmp);
-    this->_Aggregates.ProjectToSubspace(PleftProj,src);     
+    axpy (r, -1.0, mmp, src);        // r_{-1} = src - A x
-    std::cout << GridLogMessage<<"HDCG: fPcg Vstart coarse solve "<<std::endl;
+    ProjectToSubspace(r,PleftProj);     
-    this->_CoarseSolverPrecise(PleftProj,PleftMss_proj); // Ass^{-1} r_s
+    ApplyInverseCG(PleftProj,PleftMss_proj); // Ass^{-1} r_s
-    std::cout << GridLogMessage<<"HDCG: fPcg Vstart promote "<<std::endl;
+    PromoteFromSubspace(PleftMss_proj,mmp);  
-    this->_Aggregates.PromoteFromSubspace(PleftMss_proj,x);  
+    x=x+mmp;
 
   }
 
-};
+  virtual void Vstart(Field & x,const Field & src){
+    return;
+  }
 
+  /////////////////////////////////////////////////////////////////////
+  // Only Def1 has non-trivial Vout. Override in Def1
+  /////////////////////////////////////////////////////////////////////
+  virtual void   Vout  (Field & in, Field & out,Field & src){
+    out = in;
+    //case PcgDef1:
+    //    //Qb + PT x
+    //    ProjectToSubspace(src,PleftProj);     
+    //    ApplyInverse(PleftProj,PleftMss_proj); // Ass^{-1} r_s
+    //    PromoteFromSubspace(PleftMss_proj,tmp);  
+    //    
+    //    Pright(in,out);
+    //    
+    //    linop_d->axpy(out,tmp,out,1.0);
+    //    break;
+  }
+
+  ////////////////////////////////////////////////////////////////////////////////////////////////
+  // Pright and Pleft are common to all implementations
+  ////////////////////////////////////////////////////////////////////////////////////////////////
+  virtual void Pright(Field & in,Field & out){
+    // P_R  = [ 1              0 ] 
+    //        [ -Mss^-1 Msb    0 ] 
+    Field in_sbar(grid);
+
+    ProjectToSubspace(in,PleftProj);     
+    PromoteFromSubspace(PleftProj,out);  
+    axpy(in_sbar,-1.0,out,in);       // in_sbar = in - in_s 
+
+    HermOp(in_sbar,out);
+    ProjectToSubspace(out,PleftProj);           // Mssbar in_sbar  (project)
+
+    ApplyInverse     (PleftProj,PleftMss_proj); // Mss^{-1} Mssbar 
+    PromoteFromSubspace(PleftMss_proj,out);     // 
+
+    axpy(out,-1.0,out,in_sbar);     // in_sbar - Mss^{-1} Mssbar in_sbar
+  }
+  virtual void Pleft (Field & in,Field & out){
+    // P_L  = [ 1  -Mbs Mss^-1] 
+    //        [ 0   0         ] 
+    Field in_sbar(grid);
+    Field    tmp2(grid);
+    Field    Mtmp(grid);
+
+    ProjectToSubspace(in,PleftProj);     
+    PromoteFromSubspace(PleftProj,out);  
+    axpy(in_sbar,-1.0,out,in);      // in_sbar = in - in_s
+
+    ApplyInverse(PleftProj,PleftMss_proj); // Mss^{-1} in_s
+    PromoteFromSubspace(PleftMss_proj,out);
+
+    HermOp(out,Mtmp);
+
+    ProjectToSubspace(Mtmp,PleftProj);      // Msbar s Mss^{-1}
+    PromoteFromSubspace(PleftProj,tmp2);
+
+    axpy(out,-1.0,tmp2,Mtmp);
+    axpy(out,-1.0,out,in_sbar);     // in_sbar - Msbars Mss^{-1} in_s
+  }
+}
 
 template<class Field>
-class TwoLevelADEF1defl : public TwoLevelCG<Field>
+class TwoLevelFlexiblePcgADef2 : public TwoLevelFlexiblePcg<Field> {
-{
+ public:
-public:
+  virtual void M(Field & in,Field & out,Field & tmp){
-  const std::vector<Field> &evec;
-  const std::vector<RealD> &eval;
 
-  TwoLevelADEF1defl(RealD tol,
-		   Integer maxit,
-		   LinearOperatorBase<Field>   &FineLinop,
-		   LinearFunction<Field>   &Smoother,
-		   std::vector<Field> &_evec,
-		   std::vector<RealD> &_eval) : 
-    TwoLevelCG<Field>(tol,maxit,FineLinop,Smoother,_evec[0].Grid()),
-    evec(_evec),
-    eval(_eval)
-  {};
-
-  // Can just inherit existing M2
-  // Can just inherit existing M3
-
-  // Simple vstart - do nothing
-  virtual void Vstart(Field & x,const Field & src){
-    x=src; // Could apply Q
-  };
-
-  // Override PcgM1
-  virtual void PcgM1(Field & in, Field & out)
-  {
-    GRID_TRACE("EvecPreconditioner ");
-    int N=evec.size();
-    Field Pin(this->grid);
-    Field Qin(this->grid);
-
-    //MP  + Q = M(1-AQ) + Q = M
-    // // If we are eigenvector deflating in coarse space
-    // // Q   = Sum_i |phi_i> 1/lambda_i <phi_i|
-    // // A Q = Sum_i |phi_i> <phi_i|
-    // // M(1-AQ) = M(1-proj) + Q
-    Qin.Checkerboard()=in.Checkerboard();
-    Qin = Zero();
-    Pin = in;
-    for (int i=0;i<N;i++) {
-      const Field& tmp = evec[i];
-      auto ip = TensorRemove(innerProduct(tmp,in));
-      axpy(Qin, ip / eval[i],tmp,Qin);
-      axpy(Pin, -ip ,tmp,Pin);
-    }
-
-    this->_Smoother(Pin,out);
-
-    out = out + Qin;
   } 
-};
+  virtual void M1(Field & in, Field & out,Field & tmp,Field & mp){
 
-NAMESPACE_END(Grid);
+  }
+  virtual void M2(Field & in, Field & out){
 
+  }
+  virtual RealD M3(Field & p, Field & mp,Field & mmp, Field & tmp){
+
+  }
+  virtual void Vstart(Field & in, Field & src, Field & r, Field & mp, Field & mmp, Field & tmp){
+
+  }
+}
+/*
+template<class Field>
+class TwoLevelFlexiblePcgAD : public TwoLevelFlexiblePcg<Field> {
+ public:
+  virtual void M(Field & in,Field & out,Field & tmp); 
+  virtual void M1(Field & in, Field & out,Field & tmp,Field & mp);
+  virtual void M2(Field & in, Field & out);
+  virtual RealD M3(Field & p, Field & mp,Field & mmp, Field & tmp);
+  virtual void Vstart(Field & in, Field & src, Field & r, Field & mp, Field & mmp, Field & tmp);
+}
+
+template<class Field>
+class TwoLevelFlexiblePcgDef1 : public TwoLevelFlexiblePcg<Field> {
+ public:
+  virtual void M(Field & in,Field & out,Field & tmp); 
+  virtual void M1(Field & in, Field & out,Field & tmp,Field & mp);
+  virtual void M2(Field & in, Field & out);
+  virtual RealD M3(Field & p, Field & mp,Field & mmp, Field & tmp);
+  virtual void Vstart(Field & in, Field & src, Field & r, Field & mp, Field & mmp, Field & tmp);
+  virtual void   Vout  (Field & in, Field & out,Field & src,Field & tmp);
+}
+
+template<class Field>
+class TwoLevelFlexiblePcgDef2 : public TwoLevelFlexiblePcg<Field> {
+ public:
+  virtual void M(Field & in,Field & out,Field & tmp); 
+  virtual void M1(Field & in, Field & out,Field & tmp,Field & mp);
+  virtual void M2(Field & in, Field & out);
+  virtual RealD M3(Field & p, Field & mp,Field & mmp, Field & tmp);
+  virtual void Vstart(Field & in, Field & src, Field & r, Field & mp, Field & mmp, Field & tmp);
+}
+
+template<class Field>
+class TwoLevelFlexiblePcgV11: public TwoLevelFlexiblePcg<Field> {
+ public:
+  virtual void M(Field & in,Field & out,Field & tmp); 
+  virtual void M1(Field & in, Field & out,Field & tmp,Field & mp);
+  virtual void M2(Field & in, Field & out);
+  virtual RealD M3(Field & p, Field & mp,Field & mmp, Field & tmp);
+  virtual void Vstart(Field & in, Field & src, Field & r, Field & mp, Field & mmp, Field & tmp);
+}
+*/
 #endif

Grid/algorithms/iterative/AdefMrhs.h

@@ -1,734 +0,0 @@
-    /*************************************************************************************
-
-    Grid physics library, www.github.com/paboyle/Grid 
-
-    Source file: ./lib/algorithms/iterative/AdefGeneric.h
-
-    Copyright (C) 2015
-
-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 */
-#pragma once
-
-
-  /*
-   * Compared to Tang-2009:  P=Pleft. P^T = PRight Q=MssInv. 
-   * Script A = SolverMatrix 
-   * Script P = Preconditioner
-   *
-   * Implement ADEF-2
-   *
-   * Vstart = P^Tx + Qb
-   * M1 = P^TM + Q
-   * M2=M3=1
-   */
-NAMESPACE_BEGIN(Grid);
-
-
-template<class Field>
-class TwoLevelCGmrhs
-{
- public:
-  RealD   Tolerance;
-  Integer MaxIterations;
-  GridBase *grid;
-
-  // Fine operator, Smoother, CoarseSolver
-  LinearOperatorBase<Field>   &_FineLinop;
-  LinearFunction<Field>   &_Smoother;
-  MultiRHSBlockCGLinalg<Field> _BlockCGLinalg;
-
-  GridStopWatch ProjectTimer;
-  GridStopWatch PromoteTimer;
-  GridStopWatch DeflateTimer;
-  GridStopWatch CoarseTimer;
-  GridStopWatch FineTimer;
-  GridStopWatch SmoothTimer;
-  GridStopWatch InsertTimer;
-
-  /*
-    Field rrr;
-  Field sss;
-  Field qqq;
-  Field zzz;
-  */  
-  // more most opertor functions
-  TwoLevelCGmrhs(RealD tol,
-		 Integer maxit,
-		 LinearOperatorBase<Field>   &FineLinop,
-		 LinearFunction<Field>       &Smoother,
-		 GridBase *fine) : 
-    Tolerance(tol), 
-    MaxIterations(maxit),
-    _FineLinop(FineLinop),
-    _Smoother(Smoother)
-    /*
-    rrr(fine),
-    sss(fine),
-    qqq(fine),
-    zzz(fine)
-*/
-  {
-    grid       = fine;
-  };
-  
-  // Vector case
-  virtual void operator() (std::vector<Field> &src, std::vector<Field> &x)
-  {
-    SolveSingleSystem(src,x);
-	// SolvePrecBlockCG(src,x);
-  }
-
-////////////////////////////////////////////////////////////////////////////////////////////////////
-// Thin QR factorisation (google it)
-////////////////////////////////////////////////////////////////////////////////////////////////////
-  ////////////////////////////////////////////////////////////////////////////////////////////////////
-  //Dimensions
-  // R_{ferm x Nblock} =  Q_{ferm x Nblock} x  C_{Nblock x Nblock} -> ferm x Nblock
-  //
-  // Rdag R = m_rr = Herm = L L^dag        <-- Cholesky decomposition (LLT routine in Eigen)
-  //
-  //   Q  C = R => Q = R C^{-1}
-  //
-  // Want  Ident = Q^dag Q = C^{-dag} R^dag R C^{-1} = C^{-dag} L L^dag C^{-1} = 1_{Nblock x Nblock} 
-  //
-  // Set C = L^{dag}, and then Q^dag Q = ident 
-  //
-  // Checks:
-  // Cdag C = Rdag R ; passes.
-  // QdagQ  = 1      ; passes
-  ////////////////////////////////////////////////////////////////////////////////////////////////////
-  void ThinQRfact (Eigen::MatrixXcd &m_zz,
-		   Eigen::MatrixXcd &C,
-		   Eigen::MatrixXcd &Cinv,
-		   std::vector<Field> &  Q,
-		   std::vector<Field> & MQ,
-		   const std::vector<Field> & Z,
-		   const std::vector<Field> & MZ)
-  {
-    RealD t0=usecond();
-    _BlockCGLinalg.InnerProductMatrix(m_zz,MZ,Z);
-    RealD t1=usecond();
-
-    m_zz = 0.5*(m_zz+m_zz.adjoint());
-    
-    Eigen::MatrixXcd L    = m_zz.llt().matrixL(); 
-    
-    C    = L.adjoint();
-    Cinv = C.inverse();
-    
-    RealD t3=usecond();
-    _BlockCGLinalg.MulMatrix( Q,Cinv,Z);
-    _BlockCGLinalg.MulMatrix(MQ,Cinv,MZ);
-    RealD t4=usecond();
-    std::cout << " ThinQRfact IP    :"<< t1-t0<<" us"<<std::endl;
-    std::cout << " ThinQRfact Eigen :"<< t3-t1<<" us"<<std::endl;
-    std::cout << " ThinQRfact MulMat:"<< t4-t3<<" us"<<std::endl;
-  }
-
-  virtual void SolvePrecBlockCG (std::vector<Field> &src, std::vector<Field> &X)
-  {
-    std::cout << GridLogMessage<<"HDCG: mrhs fPrecBlockcg starting"<<std::endl;
-    src[0].Grid()->Barrier();
-    int nrhs = src.size();
-    //    std::vector<RealD> f(nrhs);
-    //    std::vector<RealD> rtzp(nrhs);
-    //    std::vector<RealD> rtz(nrhs);
-    //    std::vector<RealD> a(nrhs);
-    //    std::vector<RealD> d(nrhs);
-    //    std::vector<RealD> b(nrhs);
-    //    std::vector<RealD> rptzp(nrhs);
-
-    ////////////////////////////////////////////
-    //Initial residual computation & set up
-    ////////////////////////////////////////////
-    std::vector<RealD> ssq(nrhs);
-    for(int rhs=0;rhs<nrhs;rhs++){
-      ssq[rhs]=norm2(src[rhs]); GRID_ASSERT(ssq[rhs]!=0.0);
-    }      
-
-    ///////////////////////////
-    // Fields -- eliminate duplicates between fPcg and block cg
-    ///////////////////////////
-    std::vector<Field> Mtmp(nrhs,grid);
-    std::vector<Field> tmp(nrhs,grid);
-    std::vector<Field>   Z(nrhs,grid); // Rename Z to R
-    std::vector<Field>  MZ(nrhs,grid); // Rename MZ to Z
-    std::vector<Field>   Q(nrhs,grid); // 
-    std::vector<Field>  MQ(nrhs,grid); // Rename to P
-    std::vector<Field>   D(nrhs,grid);
-    std::vector<Field>  AD(nrhs,grid);
-    
-    /************************************************************************
-     * Preconditioned Block conjugate gradient rQ
-     * Generalise Sebastien Birk Thesis, after Dubrulle 2001.
-     * Introduce preconditioning following Saad Ch9
-     ************************************************************************
-     * Dimensions:
-     *
-     *   X,B etc... ==(Nferm x nrhs)
-     *  Matrix A==(Nferm x Nferm)
-     *  
-     * Nferm = Nspin x Ncolour x Ncomplex x Nlattice_site
-     * QC => Thin QR factorisation (google it)
-     *
-     * R = B-AX
-     * Z = Mi R
-     * QC = Z
-     * D = Q 
-     * for k: 
-     *   R  = AD
-     *   Z  = Mi R
-     *   M  = [D^dag R]^{-1}
-     *   X  = X + D M C
-     *   QS = Q - Z.M
-     *   D  = Q + D S^dag
-     *   C  = S C
-     */
-    Eigen::MatrixXcd m_DZ     = Eigen::MatrixXcd::Identity(nrhs,nrhs);
-    Eigen::MatrixXcd m_M      = Eigen::MatrixXcd::Identity(nrhs,nrhs);
-    Eigen::MatrixXcd m_zz     = Eigen::MatrixXcd::Zero(nrhs,nrhs);
-    Eigen::MatrixXcd m_rr     = Eigen::MatrixXcd::Zero(nrhs,nrhs);
-    
-    Eigen::MatrixXcd m_C      = Eigen::MatrixXcd::Zero(nrhs,nrhs);
-    Eigen::MatrixXcd m_Cinv   = Eigen::MatrixXcd::Zero(nrhs,nrhs);
-    Eigen::MatrixXcd m_S      = Eigen::MatrixXcd::Zero(nrhs,nrhs);
-    Eigen::MatrixXcd m_Sinv   = Eigen::MatrixXcd::Zero(nrhs,nrhs);
-    
-    Eigen::MatrixXcd m_tmp    = Eigen::MatrixXcd::Identity(nrhs,nrhs);
-    Eigen::MatrixXcd m_tmp1   = Eigen::MatrixXcd::Identity(nrhs,nrhs);
-
-    GridStopWatch HDCGTimer;
-
-    //////////////////////////
-    // x0 = Vstart -- possibly modify guess
-    //////////////////////////
-    Vstart(X,src);
-
-    //////////////////////////
-    // R = B-AX
-    //////////////////////////
-    for(int rhs=0;rhs<nrhs;rhs++){
-      // r0 = b -A x0
-      _FineLinop.HermOp(X[rhs],tmp[rhs]);
-      axpy (Z[rhs], -1.0,tmp[rhs], src[rhs]);    // Computes R=Z=src - A X0
-    }
-
-    //////////////////////////////////
-    // Compute MZ = M1 Z = M1 B - M1 A x0
-    //////////////////////////////////
-    PcgM1(Z,MZ);  
-
-    //////////////////////////////////
-    // QC = Z
-    //////////////////////////////////
-    ThinQRfact (m_zz, m_C, m_Cinv, Q, MQ, Z, MZ);
-
-    //////////////////////////////////
-    // D=MQ
-    //////////////////////////////////
-    for(int b=0;b<nrhs;b++) D[b]=MQ[b]; // LLT rotation of the MZ basis of search dirs
-
-    std::cout << GridLogMessage<<"PrecBlockCGrQ vec computed initial residual and QR fact " <<std::endl;
-
-    ProjectTimer.Reset();
-    PromoteTimer.Reset();
-    DeflateTimer.Reset();
-    CoarseTimer.Reset();
-    SmoothTimer.Reset();
-    FineTimer.Reset();
-    InsertTimer.Reset();
-
-    GridStopWatch M1Timer;
-    GridStopWatch M2Timer;
-    GridStopWatch M3Timer;
-    GridStopWatch LinalgTimer;
-    GridStopWatch InnerProdTimer;
-
-    HDCGTimer.Start();
-
-    std::vector<RealD> rn(nrhs);
-    for (int k=0;k<=MaxIterations;k++){
-
-      ////////////////////
-      // Z  = AD
-      ////////////////////
-      M3Timer.Start();
-      for(int b=0;b<nrhs;b++) _FineLinop.HermOp(D[b], Z[b]);      
-      M3Timer.Stop();
-
-      ////////////////////
-      // MZ  = M1 Z <==== the Multigrid preconditioner
-      ////////////////////
-      M1Timer.Start();
-      PcgM1(Z,MZ);
-      M1Timer.Stop();
-
-      FineTimer.Start();
-      ////////////////////
-      // M  = [D^dag Z]^{-1} = (<Ddag MZ>_M)^{-1} inner prod, generalising Saad derivation of Precon CG
-      ////////////////////
-      InnerProdTimer.Start();
-      _BlockCGLinalg.InnerProductMatrix(m_DZ,D,Z);
-      InnerProdTimer.Stop();
-      m_M       = m_DZ.inverse();
-
-      ///////////////////////////
-      // X  = X + D MC
-      ///////////////////////////
-      m_tmp     = m_M * m_C;
-      LinalgTimer.Start();
-      _BlockCGLinalg.MaddMatrix(X,m_tmp, D,X);     // D are the search directions and X takes the updates 
-      LinalgTimer.Stop();
-
-      ///////////////////////////
-      // QS = Q - M Z
-      // (MQ) S = MQ - M (M1Z)
-      ///////////////////////////
-      LinalgTimer.Start();
-      _BlockCGLinalg.MaddMatrix(tmp ,m_M, Z, Q,-1.0);
-      _BlockCGLinalg.MaddMatrix(Mtmp,m_M,MZ,MQ,-1.0);
-      ThinQRfact (m_zz, m_S, m_Sinv, Q, MQ, tmp, Mtmp);
-      LinalgTimer.Stop();
-
-      ////////////////////////////
-      // D  = MQ + D S^dag
-      ////////////////////////////
-      m_tmp = m_S.adjoint();
-      LinalgTimer.Start();
-      _BlockCGLinalg.MaddMatrix(D,m_tmp,D,MQ);
-      LinalgTimer.Stop();
-
-      ////////////////////////////
-      // C  = S C
-      ////////////////////////////
-      m_C = m_S*m_C;
-      
-      ////////////////////////////
-      // convergence monitor
-      ////////////////////////////
-      m_rr = m_C.adjoint() * m_C;
-      
-      FineTimer.Stop();
-
-      RealD max_resid=0;
-      RealD rrsum=0;
-      RealD sssum=0;
-      RealD rr;
-
-      for(int b=0;b<nrhs;b++) {
-	rrsum+=real(m_rr(b,b));
-	sssum+=ssq[b];
-	rr = real(m_rr(b,b))/ssq[b];
-	if ( rr > max_resid ) max_resid = rr;
-      }
-      std::cout << GridLogMessage <<
-	  "\t Prec BlockCGrQ Iteration "<<k<<" ave resid "<< std::sqrt(rrsum/sssum) << " max "<< std::sqrt(max_resid) <<std::endl;
-
-
-      if ( max_resid < Tolerance*Tolerance ) { 
-
-	HDCGTimer.Stop();
-	std::cout<<GridLogMessage<<"HDCG: mrhs PrecBlockCGrQ converged in "<<k<<" iterations and "<<HDCGTimer.Elapsed()<<std::endl;;
-	std::cout<<GridLogMessage<<"HDCG: mrhs PrecBlockCGrQ : Linalg  "<<LinalgTimer.Elapsed()<<std::endl;;
-	std::cout<<GridLogMessage<<"HDCG: mrhs PrecBlockCGrQ : fine H  "<<M3Timer.Elapsed()<<std::endl;;
-	std::cout<<GridLogMessage<<"HDCG: mrhs PrecBlockCGrQ : prec M1 "<<M1Timer.Elapsed()<<std::endl;;
-	std::cout<<GridLogMessage<<"**** M1 breakdown:"<<std::endl;
-	std::cout<<GridLogMessage<<"HDCG: mrhs PrecBlockCGrQ : Project "<<ProjectTimer.Elapsed()<<std::endl;;
-	std::cout<<GridLogMessage<<"HDCG: mrhs PrecBlockCGrQ : Promote "<<PromoteTimer.Elapsed()<<std::endl;;
-	std::cout<<GridLogMessage<<"HDCG: mrhs PrecBlockCGrQ : Deflate "<<DeflateTimer.Elapsed()<<std::endl;;
-	std::cout<<GridLogMessage<<"HDCG: mrhs PrecBlockCGrQ : Coarse  "<<CoarseTimer.Elapsed()<<std::endl;;
-	std::cout<<GridLogMessage<<"HDCG: mrhs PrecBlockCGrQ : Fine    "<<FineTimer.Elapsed()<<std::endl;;
-	std::cout<<GridLogMessage<<"HDCG: mrhs PrecBlockCGrQ : Smooth  "<<SmoothTimer.Elapsed()<<std::endl;;
-	std::cout<<GridLogMessage<<"HDCG: mrhs PrecBlockCGrQ : Insert  "<<InsertTimer.Elapsed()<<std::endl;;
-
-	for(int rhs=0;rhs<nrhs;rhs++){
-
-	  _FineLinop.HermOp(X[rhs],tmp[rhs]);			  
-
-	  Field mytmp(grid);
-	  axpy(mytmp,-1.0,src[rhs],tmp[rhs]);
-      
-	  RealD  xnorm   = sqrt(norm2(X[rhs]));
-	  RealD  srcnorm = sqrt(norm2(src[rhs]));
-	  RealD  tmpnorm = sqrt(norm2(mytmp));
-	  RealD  true_residual = tmpnorm/srcnorm;
-	  std::cout<<GridLogMessage
-		   <<"HDCG: true residual ["<<rhs<<"] is "<<true_residual
-		   <<" solution "<<xnorm
-		   <<" source "<<srcnorm
-		   <<std::endl;
-	}
-	return;
-      }
-      
-    }
-    HDCGTimer.Stop();
-    std::cout<<GridLogMessage<<"HDCG: PrecBlockCGrQ not converged "<<HDCGTimer.Elapsed()<<std::endl;
-    GRID_ASSERT(0);
-  }
-
-  virtual void SolveSingleSystem (std::vector<Field> &src, std::vector<Field> &x)
-  {
-    std::cout << GridLogMessage<<"HDCG: mrhs fPcg starting"<<std::endl;
-    src[0].Grid()->Barrier();
-    int nrhs = src.size();
-    std::vector<RealD> f(nrhs);
-    std::vector<RealD> rtzp(nrhs);
-    std::vector<RealD> rtz(nrhs);
-    std::vector<RealD> a(nrhs);
-    std::vector<RealD> d(nrhs);
-    std::vector<RealD> b(nrhs);
-    std::vector<RealD> rptzp(nrhs);
-    /////////////////////////////
-    // Set up history vectors
-    /////////////////////////////
-    int mmax = 3;
-
-    std::vector<std::vector<Field> > p(nrhs);   for(int r=0;r<nrhs;r++)  p[r].resize(mmax,grid);
-    std::vector<std::vector<Field> > mmp(nrhs); for(int r=0;r<nrhs;r++) mmp[r].resize(mmax,grid);
-    std::vector<std::vector<RealD> > pAp(nrhs); for(int r=0;r<nrhs;r++) pAp[r].resize(mmax);
-
-    std::vector<Field> z(nrhs,grid);
-    std::vector<Field>  mp (nrhs,grid);
-    std::vector<Field>  r  (nrhs,grid);
-    std::vector<Field>  mu (nrhs,grid);
-
-    //Initial residual computation & set up
-    std::vector<RealD> src_nrm(nrhs);
-    for(int rhs=0;rhs<nrhs;rhs++) {
-      src_nrm[rhs]=norm2(src[rhs]);
-      GRID_ASSERT(src_nrm[rhs]!=0.0);
-    }
-    std::vector<RealD> tn(nrhs);
-
-    GridStopWatch HDCGTimer;
-    //////////////////////////
-    // x0 = Vstart -- possibly modify guess
-    //////////////////////////
-    Vstart(x,src);
-
-    for(int rhs=0;rhs<nrhs;rhs++){
-      // r0 = b -A x0
-      _FineLinop.HermOp(x[rhs],mmp[rhs][0]);
-      axpy (r[rhs], -1.0,mmp[rhs][0], src[rhs]);    // Recomputes r=src-Ax0
-    }
-
-    //////////////////////////////////
-    // Compute z = M1 x
-    //////////////////////////////////
-    // This needs a multiRHS version for acceleration
-    PcgM1(r,z);
-
-    std::vector<RealD> ssq(nrhs);
-    std::vector<RealD> rsq(nrhs);
-    std::vector<Field> pp(nrhs,grid);
-
-    for(int rhs=0;rhs<nrhs;rhs++){
-      rtzp[rhs] =real(innerProduct(r[rhs],z[rhs]));
-      p[rhs][0]=z[rhs];
-      ssq[rhs]=norm2(src[rhs]);
-      rsq[rhs]=  ssq[rhs]*Tolerance*Tolerance;
-      //      std::cout << GridLogMessage<<"mrhs HDCG: "<<rhs<<" k=0 residual "<<rtzp[rhs]<<" rsq "<<rsq[rhs]<<"\n";
-    }
-
-    ProjectTimer.Reset();
-    PromoteTimer.Reset();
-    DeflateTimer.Reset();
-    CoarseTimer.Reset();
-    SmoothTimer.Reset();
-    FineTimer.Reset();
-    InsertTimer.Reset();
-
-    GridStopWatch M1Timer;
-    GridStopWatch M2Timer;
-    GridStopWatch M3Timer;
-    GridStopWatch LinalgTimer;
-
-    HDCGTimer.Start();
-
-    std::vector<RealD> rn(nrhs);
-    for (int k=0;k<=MaxIterations;k++){
-    
-      int peri_k  = k % mmax;
-      int peri_kp = (k+1) % mmax;
-
-      for(int rhs=0;rhs<nrhs;rhs++){
-	rtz[rhs]=rtzp[rhs];
-	M3Timer.Start();
-	d[rhs]= PcgM3(p[rhs][peri_k],mmp[rhs][peri_k]);
-	M3Timer.Stop();
-	a[rhs] = rtz[rhs]/d[rhs];
-
-	LinalgTimer.Start();
-	// Memorise this
-	pAp[rhs][peri_k] = d[rhs];
-
-	axpy(x[rhs],a[rhs],p[rhs][peri_k],x[rhs]);
-	rn[rhs] = axpy_norm(r[rhs],-a[rhs],mmp[rhs][peri_k],r[rhs]);
-	LinalgTimer.Stop();
-      }
-
-      // Compute z = M x (for *all* RHS)
-      M1Timer.Start();
-      PcgM1(r,z);
-      M1Timer.Stop();
-      
-      RealD max_rn=0.0;
-      LinalgTimer.Start();
-      for(int rhs=0;rhs<nrhs;rhs++){
-
-	rtzp[rhs] =real(innerProduct(r[rhs],z[rhs]));
-
-	//	std::cout << GridLogMessage<<"HDCG::fPcg rhs"<<rhs<<" iteration "<<k<<" : inner rtzp "<<rtzp[rhs]<<"\n";
-	mu[rhs]=z[rhs];
-
-	p[rhs][peri_kp]=mu[rhs];
-
-	// Standard search direction p == z + b p 
-	b[rhs] = (rtzp[rhs])/rtz[rhs];
-
-	int northog = (k>mmax-1)?(mmax-1):k;        // This is the fCG-Tr(mmax-1) algorithm
-	for(int back=0; back < northog; back++){
-	  int peri_back = (k-back)%mmax;
-	  RealD pbApk= real(innerProduct(mmp[rhs][peri_back],p[rhs][peri_kp]));
-	  RealD beta = -pbApk/pAp[rhs][peri_back];
-	  axpy(p[rhs][peri_kp],beta,p[rhs][peri_back],p[rhs][peri_kp]);
-	}
-
-	RealD rrn=sqrt(rn[rhs]/ssq[rhs]);
-	RealD rtn=sqrt(rtz[rhs]/ssq[rhs]);
-	RealD rtnp=sqrt(rtzp[rhs]/ssq[rhs]);
-	
-	std::cout<<GridLogMessage<<"HDCG:fPcg rhs "<<rhs<<" k= "<<k<<" residual = "<<rrn<<"\n";
-	if ( rrn > max_rn ) max_rn = rrn;
-      }
-      LinalgTimer.Stop();
-
-      // Stopping condition based on worst case
-      if ( max_rn <= Tolerance ) { 
-
-	HDCGTimer.Stop();
-	std::cout<<GridLogMessage<<"HDCG: mrhs fPcg converged in "<<k<<" iterations and "<<HDCGTimer.Elapsed()<<std::endl;;
-	std::cout<<GridLogMessage<<"HDCG: mrhs fPcg : Linalg  "<<LinalgTimer.Elapsed()<<std::endl;;
-	std::cout<<GridLogMessage<<"HDCG: mrhs fPcg : fine M3 "<<M3Timer.Elapsed()<<std::endl;;
-	std::cout<<GridLogMessage<<"HDCG: mrhs fPcg : prec M1 "<<M1Timer.Elapsed()<<std::endl;;
-	std::cout<<GridLogMessage<<"**** M1 breakdown:"<<std::endl;
-	std::cout<<GridLogMessage<<"HDCG: mrhs fPcg : Project "<<ProjectTimer.Elapsed()<<std::endl;;
-	std::cout<<GridLogMessage<<"HDCG: mrhs fPcg : Promote "<<PromoteTimer.Elapsed()<<std::endl;;
-	std::cout<<GridLogMessage<<"HDCG: mrhs fPcg : Deflate "<<DeflateTimer.Elapsed()<<std::endl;;
-	std::cout<<GridLogMessage<<"HDCG: mrhs fPcg : Coarse  "<<CoarseTimer.Elapsed()<<std::endl;;
-	std::cout<<GridLogMessage<<"HDCG: mrhs fPcg : Fine    "<<FineTimer.Elapsed()<<std::endl;;
-	std::cout<<GridLogMessage<<"HDCG: mrhs fPcg : Smooth  "<<SmoothTimer.Elapsed()<<std::endl;;
-	std::cout<<GridLogMessage<<"HDCG: mrhs fPcg : Insert  "<<InsertTimer.Elapsed()<<std::endl;;
-
-	for(int rhs=0;rhs<nrhs;rhs++){
-	  _FineLinop.HermOp(x[rhs],mmp[rhs][0]);			  
-	  Field tmp(grid);
-	  axpy(tmp,-1.0,src[rhs],mmp[rhs][0]);
-      
-	  RealD  mmpnorm = sqrt(norm2(mmp[rhs][0]));
-	  RealD  xnorm   = sqrt(norm2(x[rhs]));
-	  RealD  srcnorm = sqrt(norm2(src[rhs]));
-	  RealD  tmpnorm = sqrt(norm2(tmp));
-	  RealD  true_residual = tmpnorm/srcnorm;
-	  std::cout<<GridLogMessage
-		   <<"HDCG: true residual ["<<rhs<<"] is "<<true_residual
-		   <<" solution "<<xnorm
-		   <<" source "<<srcnorm
-		   <<" mmp "<<mmpnorm	  
-		   <<std::endl;
-	}
-	return;
-      }
-      
-    }
-    HDCGTimer.Stop();
-    std::cout<<GridLogMessage<<"HDCG: not converged "<<HDCGTimer.Elapsed()<<std::endl;
-    for(int rhs=0;rhs<nrhs;rhs++){
-      RealD  xnorm   = sqrt(norm2(x[rhs]));
-      RealD  srcnorm = sqrt(norm2(src[rhs]));
-      std::cout<<GridLogMessage<<"HDCG: non-converged solution "<<xnorm<<" source "<<srcnorm<<std::endl;
-    }
-  }
-  
-
- public:
-
-  virtual void PcgM1(std::vector<Field> & in,std::vector<Field> & out) = 0;
-  virtual void Vstart(std::vector<Field> & x,std::vector<Field> & src) = 0;
-  virtual void PcgM2(const Field & in, Field & out) {
-    out=in;
-  }
-
-  virtual RealD PcgM3(const Field & p, Field & mmp){
-    RealD dd;
-    _FineLinop.HermOp(p,mmp);
-    ComplexD dot = innerProduct(p,mmp);
-    dd=real(dot);
-    return dd;
-  }
-
-};
-
-template<class Field, class CoarseField>
-class TwoLevelADEF2mrhs : public TwoLevelCGmrhs<Field>
-{
-public:
-  GridBase *coarsegrid;
-  GridBase *coarsegridmrhs;
-  LinearFunction<CoarseField> &_CoarseSolverMrhs;
-  LinearFunction<CoarseField> &_CoarseSolverPreciseMrhs;
-  MultiRHSBlockProject<Field>    &_Projector;
-  MultiRHSDeflation<CoarseField> &_Deflator;
-
-  
-  TwoLevelADEF2mrhs(RealD tol,
-		    Integer maxit,
-		    LinearOperatorBase<Field>    &FineLinop,
-		    LinearFunction<Field>        &Smoother,
-		    LinearFunction<CoarseField>  &CoarseSolverMrhs,
-		    LinearFunction<CoarseField>  &CoarseSolverPreciseMrhs,
-		    MultiRHSBlockProject<Field>    &Projector,
-		    MultiRHSDeflation<CoarseField> &Deflator,
-		    GridBase *_coarsemrhsgrid) :
-    TwoLevelCGmrhs<Field>(tol, maxit,FineLinop,Smoother,Projector.fine_grid),
-    _CoarseSolverMrhs(CoarseSolverMrhs),
-    _CoarseSolverPreciseMrhs(CoarseSolverPreciseMrhs),
-    _Projector(Projector),
-    _Deflator(Deflator)
-  {
-    coarsegrid = Projector.coarse_grid;
-    coarsegridmrhs = _coarsemrhsgrid;// Thi could be in projector
-  };
-
-  // Override Vstart
-  virtual void Vstart(std::vector<Field> & x,std::vector<Field> & src)
-  {
-    int nrhs=x.size();
-    ///////////////////////////////////
-    // Choose x_0 such that 
-    // x_0 = guess +  (A_ss^inv) r_s = guess + Ass_inv [src -Aguess]
-    //                               = [1 - Ass_inv A] Guess + Assinv src
-    //                               = P^T guess + Assinv src 
-    //                               = Vstart  [Tang notation]
-    // This gives:
-    // W^T (src - A x_0) = src_s - A guess_s - r_s
-    //                   = src_s - (A guess)_s - src_s  + (A guess)_s 
-    //                   = 0 
-    ///////////////////////////////////
-    std::vector<CoarseField> PleftProj(nrhs,this->coarsegrid);
-    std::vector<CoarseField> PleftMss_proj(nrhs,this->coarsegrid);
-    CoarseField PleftProjMrhs(this->coarsegridmrhs);
-    CoarseField PleftMss_projMrhs(this->coarsegridmrhs);
-
-    this->_Projector.blockProject(src,PleftProj);
-    this->_Deflator.DeflateSources(PleftProj,PleftMss_proj);
-    for(int rhs=0;rhs<nrhs;rhs++) {
-      InsertSliceFast(PleftProj[rhs],PleftProjMrhs,rhs,0);
-      InsertSliceFast(PleftMss_proj[rhs],PleftMss_projMrhs,rhs,0); // the guess
-    }
-    
-    this->_CoarseSolverPreciseMrhs(PleftProjMrhs,PleftMss_projMrhs); // Ass^{-1} r_s
-
-    for(int rhs=0;rhs<nrhs;rhs++) {
-      ExtractSliceFast(PleftMss_proj[rhs],PleftMss_projMrhs,rhs,0);
-    }
-    this->_Projector.blockPromote(x,PleftMss_proj);
-  }
-
-  virtual void PcgM1(std::vector<Field> & in,std::vector<Field> & out){
-
-    int nrhs=in.size();
-
-    // [PTM+Q] in = [1 - Q A] M in + Q in = Min + Q [ in -A Min]
-    std::vector<Field> tmp(nrhs,this->grid);
-    std::vector<Field> Min(nrhs,this->grid);
-
-    std::vector<CoarseField> PleftProj(nrhs,this->coarsegrid);
-    std::vector<CoarseField> PleftMss_proj(nrhs,this->coarsegrid);
-
-    CoarseField PleftProjMrhs(this->coarsegridmrhs);
-    CoarseField PleftMss_projMrhs(this->coarsegridmrhs);
-
-    //    this->rrr=in[0];
-
-#undef SMOOTHER_BLOCK_SOLVE
-#if SMOOTHER_BLOCK_SOLVE
-    this->SmoothTimer.Start();
-    this->_Smoother(in,Min);
-    this->SmoothTimer.Stop();
-#else
-    for(int rhs=0;rhs<nrhs;rhs++) {
-      this->SmoothTimer.Start();
-      this->_Smoother(in[rhs],Min[rhs]);
-      this->SmoothTimer.Stop();
-    }
-#endif
-    //    this->sss=Min[0];
-    
-    for(int rhs=0;rhs<nrhs;rhs++) {
-      
-      this->FineTimer.Start();
-      this->_FineLinop.HermOp(Min[rhs],out[rhs]);
-      axpy(tmp[rhs],-1.0,out[rhs],in[rhs]);          // resid  = in - A Min
-      this->FineTimer.Stop();
-
-    }
-
-    this->ProjectTimer.Start();
-    this->_Projector.blockProject(tmp,PleftProj);
-    this->ProjectTimer.Stop();
-    this->DeflateTimer.Start();
-    this->_Deflator.DeflateSources(PleftProj,PleftMss_proj);
-    this->DeflateTimer.Stop();
-    this->InsertTimer.Start();
-    for(int rhs=0;rhs<nrhs;rhs++) {
-      InsertSliceFast(PleftProj[rhs],PleftProjMrhs,rhs,0);
-      InsertSliceFast(PleftMss_proj[rhs],PleftMss_projMrhs,rhs,0); // the guess
-    }
-    this->InsertTimer.Stop();
-
-    this->CoarseTimer.Start();
-    this->_CoarseSolverMrhs(PleftProjMrhs,PleftMss_projMrhs); // Ass^{-1} [in - A Min]_s
-    this->CoarseTimer.Stop();
-
-    this->InsertTimer.Start();
-    for(int rhs=0;rhs<nrhs;rhs++) {
-      ExtractSliceFast(PleftMss_proj[rhs],PleftMss_projMrhs,rhs,0);
-    }
-    this->InsertTimer.Stop();
-    this->PromoteTimer.Start();
-    this->_Projector.blockPromote(tmp,PleftMss_proj);// tmp= Q[in - A Min]  
-    this->PromoteTimer.Stop();
-    this->FineTimer.Start();
-    //    this->qqq=tmp[0];
-    for(int rhs=0;rhs<nrhs;rhs++) {
-      axpy(out[rhs],1.0,Min[rhs],tmp[rhs]); // Min+tmp
-    }
-    //    this->zzz=out[0];
-    this->FineTimer.Stop();
-  }
-};
-
-
-NAMESPACE_END(Grid);
-
-

Grid/algorithms/iterative/BiCGSTAB.h

@@ -1,234 +0,0 @@
-/*************************************************************************************
-
-Grid physics library, www.github.com/paboyle/Grid
-
-Source file: ./lib/algorithms/iterative/BiCGSTAB.h
-
-Copyright (C) 2015
-
-Author: Azusa Yamaguchi <ayamaguc@staffmail.ed.ac.uk>
-Author: Peter Boyle <paboyle@ph.ed.ac.uk>
-Author: paboyle <paboyle@ph.ed.ac.uk>
-Author: juettner <juettner@soton.ac.uk>
-Author: David Murphy <djmurphy@mit.edu>
-
-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 GRID_BICGSTAB_H
-#define GRID_BICGSTAB_H
-
-NAMESPACE_BEGIN(Grid);
-
-/////////////////////////////////////////////////////////////
-// Base classes for iterative processes based on operators
-// single input vec, single output vec.
-/////////////////////////////////////////////////////////////
-
-template <class Field>
-class BiCGSTAB : public OperatorFunction<Field> 
-{
-  public:
-    using OperatorFunction<Field>::operator();
-    
-    bool ErrorOnNoConverge;  // throw an GRID_ASSERT when the CG fails to converge.
-                             // Defaults true.
-    RealD Tolerance;
-    Integer MaxIterations;
-    Integer IterationsToComplete; //Number of iterations the CG took to finish. Filled in upon completion
-  
-    BiCGSTAB(RealD tol, Integer maxit, bool err_on_no_conv = true) : 
-      Tolerance(tol), MaxIterations(maxit), ErrorOnNoConverge(err_on_no_conv){};
-
-    void operator()(LinearOperatorBase<Field>& Linop, const Field& src, Field& psi) 
-    {
-      psi.Checkerboard() = src.Checkerboard();
-      conformable(psi, src);
-
-      RealD cp(0), rho(1), rho_prev(0), alpha(1), beta(0), omega(1);
-      RealD a(0), bo(0), b(0), ssq(0);
-
-      Field p(src);
-      Field r(src);
-      Field rhat(src);
-      Field v(src);
-      Field s(src);
-      Field t(src);
-      Field h(src);
-
-      v = Zero();
-      p = Zero();
-
-      // Initial residual computation & set up
-      RealD guess = norm2(psi);
-      GRID_ASSERT(std::isnan(guess) == 0);
-    
-      Linop.Op(psi, v);
-      b = norm2(v);
-
-      r = src - v;
-      rhat = r;
-      a = norm2(r);
-      ssq = norm2(src);
-
-      std::cout << GridLogIterative << std::setprecision(8) << "BiCGSTAB: guess " << guess << std::endl;
-      std::cout << GridLogIterative << std::setprecision(8) << "BiCGSTAB:   src " << ssq << std::endl;
-      std::cout << GridLogIterative << std::setprecision(8) << "BiCGSTAB:    mp " << b << std::endl;
-      std::cout << GridLogIterative << std::setprecision(8) << "BiCGSTAB:     r " << a << std::endl;
-
-      RealD rsq = Tolerance * Tolerance * ssq;
-
-      // Check if guess is really REALLY good :)
-      if(a <= rsq){ return; }
-
-      std::cout << GridLogIterative << std::setprecision(8) << "BiCGSTAB: k=0 residual " << a << " target " << rsq << std::endl;
-
-      GridStopWatch LinalgTimer;
-      GridStopWatch InnerTimer;
-      GridStopWatch AxpyNormTimer;
-      GridStopWatch LinearCombTimer;
-      GridStopWatch MatrixTimer;
-      GridStopWatch SolverTimer;
-
-      SolverTimer.Start();
-      int k;
-      for (k = 1; k <= MaxIterations; k++) 
-      {
-        rho_prev = rho;
-
-        LinalgTimer.Start();
-        InnerTimer.Start();
-        ComplexD Crho  = innerProduct(rhat,r);
-        InnerTimer.Stop();
-        rho = Crho.real();
-
-        beta = (rho / rho_prev) * (alpha / omega);
-
-        LinearCombTimer.Start();
-        bo = beta * omega;
-	{
-	  autoView( p_v , p, AcceleratorWrite);
-	  autoView( r_v , r, AcceleratorRead);
-	  autoView( v_v , v, AcceleratorRead);
-	  accelerator_for(ss, p_v.size(), Field::vector_object::Nsimd(),{
-	      coalescedWrite(p_v[ss], beta*p_v(ss) - bo*v_v(ss) + r_v(ss));
-	    });
-	}
-        LinearCombTimer.Stop();
-        LinalgTimer.Stop();
-
-        MatrixTimer.Start();
-        Linop.Op(p,v);
-        MatrixTimer.Stop();
-
-        LinalgTimer.Start();
-        InnerTimer.Start();
-        ComplexD Calpha = innerProduct(rhat,v);
-        InnerTimer.Stop();
-        alpha = rho / Calpha.real();
-
-        LinearCombTimer.Start();
-	{
-	  autoView( p_v , p, AcceleratorRead);
-	  autoView( r_v , r, AcceleratorRead);
-	  autoView( v_v , v, AcceleratorRead);
-	  autoView( psi_v,psi, AcceleratorRead);
-	  autoView( h_v  ,  h, AcceleratorWrite);
-	  autoView( s_v  ,  s, AcceleratorWrite);
-	  accelerator_for(ss, h_v.size(), Field::vector_object::Nsimd(),{
-	      coalescedWrite(h_v[ss], alpha*p_v(ss) + psi_v(ss));
-	    });
-	  accelerator_for(ss, s_v.size(), Field::vector_object::Nsimd(),{
-	      coalescedWrite(s_v[ss], -alpha*v_v(ss) + r_v(ss));
- 	  });
-        }
-        LinearCombTimer.Stop();
-        LinalgTimer.Stop();
-
-        MatrixTimer.Start();
-        Linop.Op(s,t);
-        MatrixTimer.Stop();
-
-        LinalgTimer.Start();
-        InnerTimer.Start();
-        ComplexD Comega = innerProduct(t,s);
-        InnerTimer.Stop();
-        omega = Comega.real() / norm2(t);
-
-        LinearCombTimer.Start();
-	{
-	  autoView( psi_v,psi, AcceleratorWrite);
-	  autoView( r_v , r, AcceleratorWrite);
-	  autoView( h_v , h, AcceleratorRead);
-	  autoView( s_v , s, AcceleratorRead);
-	  autoView( t_v , t, AcceleratorRead);
-	  accelerator_for(ss, psi_v.size(), Field::vector_object::Nsimd(),{
-	      coalescedWrite(psi_v[ss], h_v(ss) + omega * s_v(ss));
-	      coalescedWrite(r_v[ss], -omega * t_v(ss) + s_v(ss));
-	    });
-	}
-        LinearCombTimer.Stop();
-	
-        cp = norm2(r);
-        LinalgTimer.Stop();
-
-        std::cout << GridLogIterative << "BiCGSTAB: Iteration " << k << " residual " << sqrt(cp/ssq) << " target " << Tolerance << std::endl;
-
-        // Stopping condition
-        if(cp <= rsq) 
-        {
-          SolverTimer.Stop();
-          Linop.Op(psi, v);
-          p = v - src;
-
-          RealD srcnorm = sqrt(norm2(src));
-          RealD resnorm = sqrt(norm2(p));
-          RealD true_residual = resnorm / srcnorm;
-
-          std::cout << GridLogMessage << "BiCGSTAB Converged on iteration " << k << std::endl;
-          std::cout << GridLogMessage << "\tComputed residual " << sqrt(cp/ssq) << std::endl;
-          std::cout << GridLogMessage << "\tTrue residual " << true_residual << std::endl;
-          std::cout << GridLogMessage << "\tTarget " << Tolerance << std::endl;
-
-          std::cout << GridLogMessage << "Time breakdown " << std::endl;
-          std::cout << GridLogMessage << "\tElapsed    " << SolverTimer.Elapsed() << std::endl;
-          std::cout << GridLogMessage << "\tMatrix     " << MatrixTimer.Elapsed() << std::endl;
-          std::cout << GridLogMessage << "\tLinalg     " << LinalgTimer.Elapsed() << std::endl;
-          std::cout << GridLogMessage << "\tInner      " << InnerTimer.Elapsed() << std::endl;
-          std::cout << GridLogMessage << "\tAxpyNorm   " << AxpyNormTimer.Elapsed() << std::endl;
-          std::cout << GridLogMessage << "\tLinearComb " << LinearCombTimer.Elapsed() << std::endl;
-
-          if(ErrorOnNoConverge){ GRID_ASSERT(true_residual / Tolerance < 10000.0); }
-
-          IterationsToComplete = k;	
-
-          return;
-        }
-      }
-      
-      std::cout << GridLogMessage << "BiCGSTAB did NOT converge" << std::endl;
-
-      if(ErrorOnNoConverge){ GRID_ASSERT(0); }
-      IterationsToComplete = k;
-    }
-};
-
-NAMESPACE_END(Grid);
-
-#endif

Grid/algorithms/iterative/BiCGSTABMixedPrec.h

@@ -1,159 +0,0 @@
-/*************************************************************************************
-
-Grid physics library, www.github.com/paboyle/Grid 
-
-Source file: ./lib/algorithms/iterative/BiCGSTABMixedPrec.h
-
-Copyright (C) 2015
-
-Author: Christopher Kelly <ckelly@phys.columbia.edu>
-Author: David Murphy <djmurphy@mit.edu>
-
-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 GRID_BICGSTAB_MIXED_PREC_H
-#define GRID_BICGSTAB_MIXED_PREC_H
-
-NAMESPACE_BEGIN(Grid);
-
-// Mixed precision restarted defect correction BiCGSTAB
-template<class FieldD, class FieldF, typename std::enable_if< getPrecision<FieldD>::value == 2, int>::type = 0, typename std::enable_if< getPrecision<FieldF>::value == 1, int>::type = 0> 
-class MixedPrecisionBiCGSTAB : public LinearFunction<FieldD> 
-{
-  public:
-    using LinearFunction<FieldD>::operator();
-    RealD   Tolerance;
-    RealD   InnerTolerance; // Initial tolerance for inner CG. Defaults to Tolerance but can be changed
-    Integer MaxInnerIterations;
-    Integer MaxOuterIterations;
-    GridBase* SinglePrecGrid; // Grid for single-precision fields
-    RealD OuterLoopNormMult; // Stop the outer loop and move to a final double prec solve when the residual is OuterLoopNormMult * Tolerance
-    LinearOperatorBase<FieldF> &Linop_f;
-    LinearOperatorBase<FieldD> &Linop_d;
-
-    Integer TotalInnerIterations; //Number of inner CG iterations
-    Integer TotalOuterIterations; //Number of restarts
-    Integer TotalFinalStepIterations; //Number of CG iterations in final patch-up step
-
-    //Option to speed up *inner single precision* solves using a LinearFunction that produces a guess
-    LinearFunction<FieldF> *guesser;
-    
-    MixedPrecisionBiCGSTAB(RealD tol, Integer maxinnerit, Integer maxouterit, GridBase* _sp_grid, 
-        LinearOperatorBase<FieldF>& _Linop_f, LinearOperatorBase<FieldD>& _Linop_d) : 
-      Linop_f(_Linop_f), Linop_d(_Linop_d), Tolerance(tol), InnerTolerance(tol), MaxInnerIterations(maxinnerit), 
-      MaxOuterIterations(maxouterit), SinglePrecGrid(_sp_grid), OuterLoopNormMult(100.), guesser(NULL) {};
-
-    void useGuesser(LinearFunction<FieldF>& g){
-      guesser = &g;
-    }
-  
-    void operator() (const FieldD& src_d_in, FieldD& sol_d)
-    {
-      TotalInnerIterations = 0;
-    
-      GridStopWatch TotalTimer;
-      TotalTimer.Start();
-      
-      int cb = src_d_in.Checkerboard();
-      sol_d.Checkerboard() = cb;
-      
-      RealD src_norm = norm2(src_d_in);
-      RealD stop = src_norm * Tolerance*Tolerance;
-
-      GridBase* DoublePrecGrid = src_d_in.Grid();
-      FieldD tmp_d(DoublePrecGrid);
-      tmp_d.Checkerboard() = cb;
-      
-      FieldD tmp2_d(DoublePrecGrid);
-      tmp2_d.Checkerboard() = cb;
-      
-      FieldD src_d(DoublePrecGrid);
-      src_d = src_d_in; //source for next inner iteration, computed from residual during operation
-      
-      RealD inner_tol = InnerTolerance;
-      
-      FieldF src_f(SinglePrecGrid);
-      src_f.Checkerboard() = cb;
-      
-      FieldF sol_f(SinglePrecGrid);
-      sol_f.Checkerboard() = cb;
-      
-      BiCGSTAB<FieldF> CG_f(inner_tol, MaxInnerIterations);
-      CG_f.ErrorOnNoConverge = false;
-
-      GridStopWatch InnerCGtimer;
-
-      GridStopWatch PrecChangeTimer;
-      
-      Integer &outer_iter = TotalOuterIterations; //so it will be equal to the final iteration count
-        
-      for(outer_iter = 0; outer_iter < MaxOuterIterations; outer_iter++)
-      {
-        // Compute double precision rsd and also new RHS vector.
-        Linop_d.Op(sol_d, tmp_d);
-        RealD norm = axpy_norm(src_d, -1., tmp_d, src_d_in); //src_d is residual vector
-        
-        std::cout << GridLogMessage << "MixedPrecisionBiCGSTAB: Outer iteration " << outer_iter << " residual " << norm << " target " << stop << std::endl;
-
-        if(norm < OuterLoopNormMult * stop){
-          std::cout << GridLogMessage << "MixedPrecisionBiCGSTAB: Outer iteration converged on iteration " << outer_iter << std::endl;
-          break;
-        }
-        while(norm * inner_tol * inner_tol < stop){ inner_tol *= 2; } // inner_tol = sqrt(stop/norm) ??
-
-        PrecChangeTimer.Start();
-        precisionChange(src_f, src_d);
-        PrecChangeTimer.Stop();
-        
-        sol_f = Zero();
-
-        //Optionally improve inner solver guess (eg using known eigenvectors)
-        if(guesser != NULL){ (*guesser)(src_f, sol_f); }
-
-        //Inner CG
-        CG_f.Tolerance = inner_tol;
-        InnerCGtimer.Start();
-        CG_f(Linop_f, src_f, sol_f);
-        InnerCGtimer.Stop();
-        TotalInnerIterations += CG_f.IterationsToComplete;
-        
-        //Convert sol back to double and add to double prec solution
-        PrecChangeTimer.Start();
-        precisionChange(tmp_d, sol_f);
-        PrecChangeTimer.Stop();
-        
-        axpy(sol_d, 1.0, tmp_d, sol_d);
-      }
-      
-      //Final trial CG
-      std::cout << GridLogMessage << "MixedPrecisionBiCGSTAB: Starting final patch-up double-precision solve" << std::endl;
-      
-      BiCGSTAB<FieldD> CG_d(Tolerance, MaxInnerIterations);
-      CG_d(Linop_d, src_d_in, sol_d);
-      TotalFinalStepIterations = CG_d.IterationsToComplete;
-
-      TotalTimer.Stop();
-      std::cout << GridLogMessage << "MixedPrecisionBiCGSTAB: Inner CG iterations " << TotalInnerIterations << " Restarts " << TotalOuterIterations << " Final CG iterations " << TotalFinalStepIterations << std::endl;
-      std::cout << GridLogMessage << "MixedPrecisionBiCGSTAB: Total time " << TotalTimer.Elapsed() << " Precision change " << PrecChangeTimer.Elapsed() << " Inner CG total " << InnerCGtimer.Elapsed() << std::endl;
-  }
-};
-
-NAMESPACE_END(Grid);
-
-#endif

Grid/algorithms/iterative/BlockConjugateGradient.h

@@ -27,63 +27,13 @@ See the full license in the file "LICENSE" in the top level distribution
 directory
 *************************************************************************************/
 /*  END LEGAL */
-#pragma once
+#ifndef GRID_BLOCK_CONJUGATE_GRADIENT_H
-
+#define GRID_BLOCK_CONJUGATE_GRADIENT_H
-NAMESPACE_BEGIN(Grid);
-
-template<class Field>
-void InnerProductMatrix(Eigen::MatrixXcd &m , const std::vector<Field> &X, const std::vector<Field> &Y){
-  typedef typename Field::scalar_type scomplex;
-  int Nblock = X.size();
-  for(int b=0;b<Nblock;b++){
-  for(int bp=0;bp<Nblock;bp++) {
-    m(b,bp) = innerProduct(X[b],Y[bp]);  
-  }}
-}
-template<class Field>
-void MaddMatrix(std::vector<Field> &AP, Eigen::MatrixXcd &m , const std::vector<Field> &X,const std::vector<Field> &Y,RealD scale=1.0){
-  // Should make this cache friendly with site outermost, parallel_for
-  // Deal with case AP aliases with either Y or X
-  //
-  //Could pack "X" and "AP" into a Nblock x Volume dense array.
-  // AP(Nrhs x vol) = Y(Nrhs x vol) + scale * m(nrhs x nrhs) * X(nrhs*vol)
-  typedef typename Field::scalar_type scomplex;
-  int Nblock = AP.size();
-  std::vector<Field> tmp(Nblock,X[0]);
-  for(int b=0;b<Nblock;b++){
-    tmp[b]   = Y[b];
-    for(int bp=0;bp<Nblock;bp++) {
-      tmp[b] = tmp[b] +scomplex(scale*m(bp,b))*X[bp]; 
-    }
-  }
-  for(int b=0;b<Nblock;b++){
-    AP[b] = tmp[b];
-  }
-}
-template<class Field>
-void MulMatrix(std::vector<Field> &AP, Eigen::MatrixXcd &m , const std::vector<Field> &X){
-  // Should make this cache friendly with site outermost, parallel_for
-  typedef typename Field::scalar_type scomplex;
-  int Nblock = AP.size();
-  for(int b=0;b<Nblock;b++){
-    AP[b] = Zero();
-    for(int bp=0;bp<Nblock;bp++) {
-      AP[b] += scomplex(m(bp,b))*X[bp]; 
-    }
-  }
-}
-template<class Field>
-double normv(const std::vector<Field> &P){
-  int Nblock = P.size();
-  double nn = 0.0;
-  for(int b=0;b<Nblock;b++) {
-    nn+=norm2(P[b]);
-  }
-  return nn;
-}
 
 
-enum BlockCGtype { BlockCG, BlockCGrQ, CGmultiRHS, BlockCGVec, BlockCGrQVec };
+namespace Grid {
+
+enum BlockCGtype { BlockCG, BlockCGrQ, CGmultiRHS };
 
 //////////////////////////////////////////////////////////////////////////
 // Block conjugate gradient. Dimension zero should be the block direction
@@ -92,27 +42,33 @@ template <class Field>
 class BlockConjugateGradient : public OperatorFunction<Field> {
  public:
 
+
   typedef typename Field::scalar_type scomplex;
 
   int blockDim ;
   int Nblock;
 
   BlockCGtype CGtype;
-  bool ErrorOnNoConverge;  // throw an GRID_ASSERT when the CG fails to converge.
+  bool ErrorOnNoConverge;  // throw an assert when the CG fails to converge.
                            // Defaults true.
   RealD Tolerance;
   Integer MaxIterations;
   Integer IterationsToComplete; //Number of iterations the CG took to finish. Filled in upon completion
-  Integer PrintInterval; //GridLogMessages or Iterative
-  RealD TrueResidual;
   
   BlockConjugateGradient(BlockCGtype cgtype,int _Orthog,RealD tol, Integer maxit, bool err_on_no_conv = true)
-    : Tolerance(tol), CGtype(cgtype),   blockDim(_Orthog),  MaxIterations(maxit), ErrorOnNoConverge(err_on_no_conv),PrintInterval(100)
+    : Tolerance(tol), CGtype(cgtype),   blockDim(_Orthog),  MaxIterations(maxit), ErrorOnNoConverge(err_on_no_conv)
   {};
 
 ////////////////////////////////////////////////////////////////////////////////////////////////////
 // Thin QR factorisation (google it)
 ////////////////////////////////////////////////////////////////////////////////////////////////////
+void ThinQRfact (Eigen::MatrixXcd &m_rr,
+		 Eigen::MatrixXcd &C,
+		 Eigen::MatrixXcd &Cinv,
+		 Field & Q,
+		 const Field & R)
+{
+  int Orthog = blockDim; // First dimension is block dim; this is an assumption
   ////////////////////////////////////////////////////////////////////////////////////////////////////
   //Dimensions
   // R_{ferm x Nblock} =  Q_{ferm x Nblock} x  C_{Nblock x Nblock} -> ferm x Nblock
@@ -129,29 +85,22 @@ class BlockConjugateGradient : public OperatorFunction<Field> {
   // Cdag C = Rdag R ; passes.
   // QdagQ  = 1      ; passes
   ////////////////////////////////////////////////////////////////////////////////////////////////////
-void ThinQRfact (Eigen::MatrixXcd &m_rr,
-		 Eigen::MatrixXcd &C,
-		 Eigen::MatrixXcd &Cinv,
-		 Field & Q,
-		 const Field & R)
-{
-  int Orthog = blockDim; // First dimension is block dim; this is an assumption
   sliceInnerProductMatrix(m_rr,R,R,Orthog);
 
   // Force manifest hermitian to avoid rounding related
-  /*
-  int rank=m_rr.rows();
-  for(int r=0;r<rank;r++){
-  for(int s=0;s<rank;s++){
-    std::cout << "QR m_rr["<<r<<","<<s<<"] "<<m_rr(r,s)<<std::endl;
-  }}
-  */
   m_rr = 0.5*(m_rr+m_rr.adjoint());
 
-  Eigen::MatrixXcd L    = m_rr.llt().matrixL(); 
+#if 0
+  std::cout << " Calling Cholesky  ldlt on m_rr "  << m_rr <<std::endl;
+  Eigen::MatrixXcd L_ldlt = m_rr.ldlt().matrixL(); 
+  std::cout << " Called Cholesky  ldlt on m_rr "  << L_ldlt <<std::endl;
+  auto  D_ldlt = m_rr.ldlt().vectorD(); 
+  std::cout << " Called Cholesky  ldlt on m_rr "  << D_ldlt <<std::endl;
+#endif
 
-//  ComplexD det = L.determinant();
+  //  std::cout << " Calling Cholesky  llt on m_rr "  <<std::endl;
-//  std::cout << " Det m_rr "<<det<<std::endl;
+  Eigen::MatrixXcd L    = m_rr.llt().matrixL(); 
+  //  std::cout << " Called Cholesky  llt on m_rr "  << L <<std::endl;
   C    = L.adjoint();
   Cinv = C.inverse();
   ////////////////////////////////////////////////////////////////////////////////////////////////////
@@ -163,34 +112,6 @@ void ThinQRfact (Eigen::MatrixXcd &m_rr,
   ////////////////////////////////////////////////////////////////////////////////////////////////////
   sliceMulMatrix(Q,Cinv,R,Orthog);
 }
-// see comments above
-void ThinQRfact (Eigen::MatrixXcd &m_rr,
-		 Eigen::MatrixXcd &C,
-		 Eigen::MatrixXcd &Cinv,
-		 std::vector<Field> & Q,
-		 const std::vector<Field> & R)
-{
-  InnerProductMatrix(m_rr,R,R);
-  /*
-  int rank=m_rr.rows();
-  for(int r=0;r<rank;r++){
-  for(int s=0;s<rank;s++){
-    std::cout << "QRvec m_rr["<<r<<","<<s<<"] "<<m_rr(r,s)<<std::endl;
-  }}
-  */
-  m_rr = 0.5*(m_rr+m_rr.adjoint());
-
-  Eigen::MatrixXcd L    = m_rr.llt().matrixL(); 
-
-  //  ComplexD det = L.determinant();
-  //  std::cout << " Det m_rr "<<det<<std::endl;
-
-  C    = L.adjoint();
-  Cinv = C.inverse();
-
-  MulMatrix(Q,Cinv,R);
-}
-
 ////////////////////////////////////////////////////////////////////////////////////////////////////
 // Call one of several implementations
 ////////////////////////////////////////////////////////////////////////////////////////////////////
@@ -198,18 +119,12 @@ void operator()(LinearOperatorBase<Field> &Linop, const Field &Src, Field &Psi)
 {
   if ( CGtype == BlockCGrQ ) {
     BlockCGrQsolve(Linop,Src,Psi);
+  } else if (CGtype == BlockCG ) {
+    BlockCGsolve(Linop,Src,Psi);
   } else if (CGtype == CGmultiRHS ) {
     CGmultiRHSsolve(Linop,Src,Psi);
   } else {
-    GRID_ASSERT(0);
+    assert(0);
-  }
-}
-virtual void operator()(LinearOperatorBase<Field> &Linop, const std::vector<Field> &Src, std::vector<Field> &Psi) 
-{
-  if ( CGtype == BlockCGrQVec ) {
-    BlockCGrQsolveVec(Linop,Src,Psi);
-  } else {
-    GRID_ASSERT(0);
   }
 }
 
@@ -223,12 +138,11 @@ virtual void operator()(LinearOperatorBase<Field> &Linop, const std::vector<Fiel
 void BlockCGrQsolve(LinearOperatorBase<Field> &Linop, const Field &B, Field &X) 
 {
   int Orthog = blockDim; // First dimension is block dim; this is an assumption
-  Nblock = B.Grid()->_fdimensions[Orthog];
+  Nblock = B._grid->_fdimensions[Orthog];
-/* FAKE */
+
-  Nblock=8;
   std::cout<<GridLogMessage<<" Block Conjugate Gradient : Orthog "<<Orthog<<" Nblock "<<Nblock<<std::endl;
 
-  X.Checkerboard() = B.Checkerboard();
+  X.checkerboard = B.checkerboard;
   conformable(X, B);
 
   Field tmp(B);
@@ -256,13 +170,12 @@ void BlockCGrQsolve(LinearOperatorBase<Field> &Linop, const Field &B, Field &X)
   sliceNorm(ssq,B,Orthog);
   RealD sssum=0;
   for(int b=0;b<Nblock;b++) sssum+=ssq[b];
-  for(int b=0;b<Nblock;b++) std::cout << "src["<<b<<"]" << ssq[b] <<std::endl;
 
   sliceNorm(residuals,B,Orthog);
-  for(int b=0;b<Nblock;b++){ GRID_ASSERT(std::isnan(residuals[b])==0); }
+  for(int b=0;b<Nblock;b++){ assert(std::isnan(residuals[b])==0); }
 
   sliceNorm(residuals,X,Orthog);
-  for(int b=0;b<Nblock;b++){ GRID_ASSERT(std::isnan(residuals[b])==0); }
+  for(int b=0;b<Nblock;b++){ assert(std::isnan(residuals[b])==0); }
 
   /************************************************************************
    * Block conjugate gradient rQ (Sebastien Birk Thesis, after Dubrulle 2001)
@@ -289,13 +202,15 @@ void BlockCGrQsolve(LinearOperatorBase<Field> &Linop, const Field &B, Field &X)
   std::cout << GridLogMessage<<"BlockCGrQ algorithm initialisation " <<std::endl;
 
   //1.  QC = R = B-AX, D = Q     ; QC => Thin QR factorisation (google it)
+
   Linop.HermOp(X, AD);
   tmp = B - AD;  
-
+  //std::cout << GridLogMessage << " initial tmp " << norm2(tmp)<< std::endl;
-  sliceNorm(residuals,tmp,Orthog);
-  for(int b=0;b<Nblock;b++) std::cout << "res["<<b<<"]" << residuals[b] <<std::endl;
-  
   ThinQRfact (m_rr, m_C, m_Cinv, Q, tmp);
+  //std::cout << GridLogMessage << " initial Q " << norm2(Q)<< std::endl;
+  //std::cout << GridLogMessage << " m_rr " << m_rr<<std::endl;
+  //std::cout << GridLogMessage << " m_C " << m_C<<std::endl;
+  //std::cout << GridLogMessage << " m_Cinv " << m_Cinv<<std::endl;
   D=Q;
 
   std::cout << GridLogMessage<<"BlockCGrQ computed initial residual and QR fact " <<std::endl;
@@ -310,8 +225,6 @@ void BlockCGrQsolve(LinearOperatorBase<Field> &Linop, const Field &B, Field &X)
   GridStopWatch SolverTimer;
   SolverTimer.Start();
 
-  RealD max_resid=0;
-
   int k;
   for (k = 1; k <= MaxIterations; k++) {
 
@@ -319,12 +232,14 @@ void BlockCGrQsolve(LinearOperatorBase<Field> &Linop, const Field &B, Field &X)
     MatrixTimer.Start();
     Linop.HermOp(D, Z);      
     MatrixTimer.Stop();
+    //std::cout << GridLogMessage << " norm2 Z " <<norm2(Z)<<std::endl;
 
     //4. M  = [D^dag Z]^{-1}
     sliceInnerTimer.Start();
     sliceInnerProductMatrix(m_DZ,D,Z,Orthog);
     sliceInnerTimer.Stop();
     m_M       = m_DZ.inverse();
+    //std::cout << GridLogMessage << " m_DZ " <<m_DZ<<std::endl;
     
     //5. X  = X + D MC
     m_tmp     = m_M * m_C;
@@ -342,7 +257,6 @@ void BlockCGrQsolve(LinearOperatorBase<Field> &Linop, const Field &B, Field &X)
     
     //7. D  = Q + D S^dag
     m_tmp = m_S.adjoint();
-
     sliceMaddTimer.Start();
     sliceMaddMatrix(D,m_tmp,D,Q,Orthog);
     sliceMaddTimer.Stop();
@@ -356,7 +270,7 @@ void BlockCGrQsolve(LinearOperatorBase<Field> &Linop, const Field &B, Field &X)
      */
     m_rr = m_C.adjoint() * m_C;
 
-    max_resid=0;
+    RealD max_resid=0;
     RealD rrsum=0;
     RealD rr;
 
@@ -383,8 +297,7 @@ void BlockCGrQsolve(LinearOperatorBase<Field> &Linop, const Field &B, Field &X)
 
       Linop.HermOp(X, AD);
       AD = AD-B;
-      TrueResidual = std::sqrt(norm2(AD)/norm2(B));
+      std::cout << GridLogMessage <<"\t True residual is " << std::sqrt(norm2(AD)/norm2(B)) <<std::endl;
-      std::cout << GridLogMessage <<"\tTrue residual is " << TrueResidual <<std::endl;
 
       std::cout << GridLogMessage << "Time Breakdown "<<std::endl;
       std::cout << GridLogMessage << "\tElapsed    " << SolverTimer.Elapsed()     <<std::endl;
@@ -398,11 +311,155 @@ void BlockCGrQsolve(LinearOperatorBase<Field> &Linop, const Field &B, Field &X)
     }
 
   }
+  std::cout << GridLogMessage << "BlockConjugateGradient(rQ) did NOT converge" << std::endl;
 
-  std::cout << GridLogMessage << "BlockConjugateGradient(rQ) did NOT converge "<<k<<" / "<<MaxIterations
+  if (ErrorOnNoConverge) assert(0);
-	    <<" residual "<< std::sqrt(max_resid)<< std::endl;
+  IterationsToComplete = k;
+}
+//////////////////////////////////////////////////////////////////////////
+// Block conjugate gradient; Original O'Leary Dimension zero should be the block direction
+//////////////////////////////////////////////////////////////////////////
+void BlockCGsolve(LinearOperatorBase<Field> &Linop, const Field &Src, Field &Psi) 
+{
+  int Orthog = blockDim; // First dimension is block dim; this is an assumption
+  Nblock = Src._grid->_fdimensions[Orthog];
 
-  if (ErrorOnNoConverge) GRID_ASSERT(0);
+  std::cout<<GridLogMessage<<" Block Conjugate Gradient : Orthog "<<Orthog<<" Nblock "<<Nblock<<std::endl;
+
+  Psi.checkerboard = Src.checkerboard;
+  conformable(Psi, Src);
+
+  Field P(Src);
+  Field AP(Src);
+  Field R(Src);
+  
+  Eigen::MatrixXcd m_pAp    = Eigen::MatrixXcd::Identity(Nblock,Nblock);
+  Eigen::MatrixXcd m_pAp_inv= Eigen::MatrixXcd::Identity(Nblock,Nblock);
+  Eigen::MatrixXcd m_rr     = Eigen::MatrixXcd::Zero(Nblock,Nblock);
+  Eigen::MatrixXcd m_rr_inv = Eigen::MatrixXcd::Zero(Nblock,Nblock);
+
+  Eigen::MatrixXcd m_alpha      = Eigen::MatrixXcd::Zero(Nblock,Nblock);
+  Eigen::MatrixXcd m_beta   = Eigen::MatrixXcd::Zero(Nblock,Nblock);
+
+  // Initial residual computation & set up
+  std::vector<RealD> residuals(Nblock);
+  std::vector<RealD> ssq(Nblock);
+
+  sliceNorm(ssq,Src,Orthog);
+  RealD sssum=0;
+  for(int b=0;b<Nblock;b++) sssum+=ssq[b];
+
+  sliceNorm(residuals,Src,Orthog);
+  for(int b=0;b<Nblock;b++){ assert(std::isnan(residuals[b])==0); }
+
+  sliceNorm(residuals,Psi,Orthog);
+  for(int b=0;b<Nblock;b++){ assert(std::isnan(residuals[b])==0); }
+
+  // Initial search dir is guess
+  Linop.HermOp(Psi, AP);
+  
+
+  /************************************************************************
+   * Block conjugate gradient (Stephen Pickles, thesis 1995, pp 71, O Leary 1980)
+   ************************************************************************
+   * O'Leary : R = B - A X
+   * O'Leary : P = M R ; preconditioner M = 1
+   * O'Leary : alpha = PAP^{-1} RMR
+   * O'Leary : beta  = RMR^{-1}_old RMR_new
+   * O'Leary : X=X+Palpha
+   * O'Leary : R_new=R_old-AP alpha
+   * O'Leary : P=MR_new+P beta
+   */
+
+  R = Src - AP;  
+  P = R;
+  sliceInnerProductMatrix(m_rr,R,R,Orthog);
+
+  GridStopWatch sliceInnerTimer;
+  GridStopWatch sliceMaddTimer;
+  GridStopWatch MatrixTimer;
+  GridStopWatch SolverTimer;
+  SolverTimer.Start();
+
+  int k;
+  for (k = 1; k <= MaxIterations; k++) {
+
+    RealD rrsum=0;
+    for(int b=0;b<Nblock;b++) rrsum+=real(m_rr(b,b));
+
+    std::cout << GridLogIterative << "\titeration "<<k<<" rr_sum "<<rrsum<<" ssq_sum "<< sssum
+	      <<" / "<<std::sqrt(rrsum/sssum) <<std::endl;
+
+    MatrixTimer.Start();
+    Linop.HermOp(P, AP);
+    MatrixTimer.Stop();
+
+    // Alpha
+    sliceInnerTimer.Start();
+    sliceInnerProductMatrix(m_pAp,P,AP,Orthog);
+    sliceInnerTimer.Stop();
+    m_pAp_inv = m_pAp.inverse();
+    m_alpha   = m_pAp_inv * m_rr ;
+
+    // Psi, R update
+    sliceMaddTimer.Start();
+    sliceMaddMatrix(Psi,m_alpha, P,Psi,Orthog);     // add alpha *  P to psi
+    sliceMaddMatrix(R  ,m_alpha,AP,  R,Orthog,-1.0);// sub alpha * AP to resid
+    sliceMaddTimer.Stop();
+
+    // Beta
+    m_rr_inv = m_rr.inverse();
+    sliceInnerTimer.Start();
+    sliceInnerProductMatrix(m_rr,R,R,Orthog);
+    sliceInnerTimer.Stop();
+    m_beta = m_rr_inv *m_rr;
+
+    // Search update
+    sliceMaddTimer.Start();
+    sliceMaddMatrix(AP,m_beta,P,R,Orthog);
+    sliceMaddTimer.Stop();
+    P= AP;
+
+    /*********************
+     * convergence monitor
+     *********************
+     */
+    RealD max_resid=0;
+    RealD rr;
+    for(int b=0;b<Nblock;b++){
+      rr = real(m_rr(b,b))/ssq[b];
+      if ( rr > max_resid ) max_resid = rr;
+    }
+    
+    if ( max_resid < Tolerance*Tolerance ) { 
+
+      SolverTimer.Stop();
+
+      std::cout << GridLogMessage<<"BlockCG converged in "<<k<<" iterations"<<std::endl;
+      for(int b=0;b<Nblock;b++){
+	std::cout << GridLogMessage<< "\t\tblock "<<b<<" computed resid "
+		  << std::sqrt(real(m_rr(b,b))/ssq[b])<<std::endl;
+      }
+      std::cout << GridLogMessage<<"\tMax residual is "<<std::sqrt(max_resid)<<std::endl;
+
+      Linop.HermOp(Psi, AP);
+      AP = AP-Src;
+      std::cout << GridLogMessage <<"\t True residual is " << std::sqrt(norm2(AP)/norm2(Src)) <<std::endl;
+
+      std::cout << GridLogMessage << "Time Breakdown "<<std::endl;
+      std::cout << GridLogMessage << "\tElapsed    " << SolverTimer.Elapsed()     <<std::endl;
+      std::cout << GridLogMessage << "\tMatrix     " << MatrixTimer.Elapsed()     <<std::endl;
+      std::cout << GridLogMessage << "\tInnerProd  " << sliceInnerTimer.Elapsed() <<std::endl;
+      std::cout << GridLogMessage << "\tMaddMatrix " << sliceMaddTimer.Elapsed()  <<std::endl;
+	    
+      IterationsToComplete = k;
+      return;
+    }
+
+  }
+  std::cout << GridLogMessage << "BlockConjugateGradient did NOT converge" << std::endl;
+
+  if (ErrorOnNoConverge) assert(0);
   IterationsToComplete = k;
 }
 //////////////////////////////////////////////////////////////////////////
@@ -412,11 +469,11 @@ void BlockCGrQsolve(LinearOperatorBase<Field> &Linop, const Field &B, Field &X)
 void CGmultiRHSsolve(LinearOperatorBase<Field> &Linop, const Field &Src, Field &Psi) 
 {
   int Orthog = blockDim; // First dimension is block dim
-  Nblock = Src.Grid()->_fdimensions[Orthog];
+  Nblock = Src._grid->_fdimensions[Orthog];
 
   std::cout<<GridLogMessage<<"MultiRHS Conjugate Gradient : Orthog "<<Orthog<<" Nblock "<<Nblock<<std::endl;
 
-  Psi.Checkerboard() = Src.Checkerboard();
+  Psi.checkerboard = Src.checkerboard;
   conformable(Psi, Src);
 
   Field P(Src);
@@ -438,10 +495,10 @@ void CGmultiRHSsolve(LinearOperatorBase<Field> &Linop, const Field &Src, Field &
   for(int b=0;b<Nblock;b++) sssum+=ssq[b];
 
   sliceNorm(residuals,Src,Orthog);
-  for(int b=0;b<Nblock;b++){ GRID_ASSERT(std::isnan(residuals[b])==0); }
+  for(int b=0;b<Nblock;b++){ assert(std::isnan(residuals[b])==0); }
 
   sliceNorm(residuals,Psi,Orthog);
-  for(int b=0;b<Nblock;b++){ GRID_ASSERT(std::isnan(residuals[b])==0); }
+  for(int b=0;b<Nblock;b++){ assert(std::isnan(residuals[b])==0); }
 
   // Initial search dir is guess
   Linop.HermOp(Psi, AP);
@@ -522,8 +579,7 @@ void CGmultiRHSsolve(LinearOperatorBase<Field> &Linop, const Field &Src, Field &
 
       Linop.HermOp(Psi, AP);
       AP = AP-Src;
-      TrueResidual = std::sqrt(norm2(AP)/norm2(Src));
+      std::cout <<GridLogMessage << "\tTrue residual is " << std::sqrt(norm2(AP)/norm2(Src)) <<std::endl;
-      std::cout <<GridLogMessage << "\tTrue residual is " << TrueResidual <<std::endl;
 
       std::cout << GridLogMessage << "Time Breakdown "<<std::endl;
       std::cout << GridLogMessage << "\tElapsed    " << SolverTimer.Elapsed()     <<std::endl;
@@ -540,202 +596,11 @@ void CGmultiRHSsolve(LinearOperatorBase<Field> &Linop, const Field &Src, Field &
   }
   std::cout << GridLogMessage << "MultiRHSConjugateGradient did NOT converge" << std::endl;
 
-  if (ErrorOnNoConverge) GRID_ASSERT(0);
+  if (ErrorOnNoConverge) assert(0);
-  IterationsToComplete = k;
-}
-
-////////////////////////////////////////////////////////////////////////////
-// BlockCGrQvec implementation:
-//--------------------------
-// X is guess/Solution
-// B is RHS
-// Solve A X_i = B_i    ;        i refers to Nblock index
-////////////////////////////////////////////////////////////////////////////
-void BlockCGrQsolveVec(LinearOperatorBase<Field> &Linop, const std::vector<Field> &B, std::vector<Field> &X) 
-{
-  Nblock = B.size();
-  GRID_ASSERT(Nblock == X.size());
-
-  std::cout<<GridLogMessage<<" Block Conjugate Gradient Vec rQ : Nblock "<<Nblock<<std::endl;
-
-  for(int b=0;b<Nblock;b++){ 
-    X[b].Checkerboard() = B[b].Checkerboard();
-    conformable(X[b], B[b]);
-    conformable(X[b], X[0]); 
-  }
-
-  Field Fake(B[0]);
-
-  std::vector<Field> tmp(Nblock,Fake);
-  std::vector<Field>   Q(Nblock,Fake);
-  std::vector<Field>   D(Nblock,Fake);
-  std::vector<Field>   Z(Nblock,Fake);
-  std::vector<Field>  AD(Nblock,Fake);
-
-  Eigen::MatrixXcd m_DZ     = Eigen::MatrixXcd::Identity(Nblock,Nblock);
-  Eigen::MatrixXcd m_M      = Eigen::MatrixXcd::Identity(Nblock,Nblock);
-  Eigen::MatrixXcd m_rr     = Eigen::MatrixXcd::Zero(Nblock,Nblock);
-
-  Eigen::MatrixXcd m_C      = Eigen::MatrixXcd::Zero(Nblock,Nblock);
-  Eigen::MatrixXcd m_Cinv   = Eigen::MatrixXcd::Zero(Nblock,Nblock);
-  Eigen::MatrixXcd m_S      = Eigen::MatrixXcd::Zero(Nblock,Nblock);
-  Eigen::MatrixXcd m_Sinv   = Eigen::MatrixXcd::Zero(Nblock,Nblock);
-
-  Eigen::MatrixXcd m_tmp    = Eigen::MatrixXcd::Identity(Nblock,Nblock);
-  Eigen::MatrixXcd m_tmp1   = Eigen::MatrixXcd::Identity(Nblock,Nblock);
-
-  // Initial residual computation & set up
-  std::vector<RealD> residuals(Nblock);
-  std::vector<RealD> ssq(Nblock);
-
-  RealD sssum=0;
-  for(int b=0;b<Nblock;b++){ ssq[b] = norm2(B[b]);}
-  for(int b=0;b<Nblock;b++){ std::cout << "ssq["<<b<<"] "<<ssq[b]<<std::endl;}
-  for(int b=0;b<Nblock;b++) sssum+=ssq[b];
-
-  for(int b=0;b<Nblock;b++){ residuals[b] = norm2(B[b]);}
-  for(int b=0;b<Nblock;b++){ GRID_ASSERT(std::isnan(residuals[b])==0); }
-
-  for(int b=0;b<Nblock;b++){ residuals[b] = norm2(X[b]);}
-  for(int b=0;b<Nblock;b++){ GRID_ASSERT(std::isnan(residuals[b])==0); }
-
-  /************************************************************************
-   * Block conjugate gradient rQ (Sebastien Birk Thesis, after Dubrulle 2001)
-   ************************************************************************
-   * Dimensions:
-   *
-   *   X,B==(Nferm x Nblock)
-   *   A==(Nferm x Nferm)
-   *  
-   * Nferm = Nspin x Ncolour x Ncomplex x Nlattice_site
-   * 
-   * QC = R = B-AX, D = Q     ; QC => Thin QR factorisation (google it)
-   * for k: 
-   *   Z  = AD
-   *   M  = [D^dag Z]^{-1}
-   *   X  = X + D MC
-   *   QS = Q - ZM
-   *   D  = Q + D S^dag
-   *   C  = S C
-   */
-  ///////////////////////////////////////
-  // Initial block: initial search dir is guess
-  ///////////////////////////////////////
-  std::cout << GridLogMessage<<"BlockCGrQvec algorithm initialisation " <<std::endl;
-
-  //1.  QC = R = B-AX, D = Q     ; QC => Thin QR factorisation (google it)
-  for(int b=0;b<Nblock;b++) {
-    Linop.HermOp(X[b], AD[b]);
-    tmp[b] = B[b] - AD[b];  
-    std::cout << "r0["<<b<<"] "<<norm2(tmp[b])<<std::endl;
-  }
-
-  ThinQRfact (m_rr, m_C, m_Cinv, Q, tmp);
-
-  for(int b=0;b<Nblock;b++) D[b]=Q[b];
-
-  std::cout << GridLogMessage<<"BlockCGrQ vec computed initial residual and QR fact " <<std::endl;
-
-  ///////////////////////////////////////
-  // Timers
-  ///////////////////////////////////////
-  GridStopWatch sliceInnerTimer;
-  GridStopWatch sliceMaddTimer;
-  GridStopWatch QRTimer;
-  GridStopWatch MatrixTimer;
-  GridStopWatch SolverTimer;
-  SolverTimer.Start();
-
-  int k;
-  for (k = 1; k <= MaxIterations; k++) {
-
-    //3. Z  = AD
-    MatrixTimer.Start();
-    for(int b=0;b<Nblock;b++) Linop.HermOp(D[b], Z[b]);      
-    MatrixTimer.Stop();
-
-    //4. M  = [D^dag Z]^{-1}
-    sliceInnerTimer.Start();
-    InnerProductMatrix(m_DZ,D,Z);
-    sliceInnerTimer.Stop();
-    m_M       = m_DZ.inverse();
-    
-    //5. X  = X + D MC
-    m_tmp     = m_M * m_C;
-    sliceMaddTimer.Start();
-    MaddMatrix(X,m_tmp, D,X);     
-    sliceMaddTimer.Stop();
-
-    //6. QS = Q - ZM
-    sliceMaddTimer.Start();
-    MaddMatrix(tmp,m_M,Z,Q,-1.0);
-    sliceMaddTimer.Stop();
-    QRTimer.Start();
-    ThinQRfact (m_rr, m_S, m_Sinv, Q, tmp);
-    QRTimer.Stop();
-    
-    //7. D  = Q + D S^dag
-    m_tmp = m_S.adjoint();
-    sliceMaddTimer.Start();
-    MaddMatrix(D,m_tmp,D,Q);
-    sliceMaddTimer.Stop();
-
-    //8. C  = S C
-    m_C = m_S*m_C;
-    
-    /*********************
-     * convergence monitor
-     *********************
-     */
-    m_rr = m_C.adjoint() * m_C;
-
-    RealD max_resid=0;
-    RealD rrsum=0;
-    RealD rr;
-
-    for(int b=0;b<Nblock;b++) {
-      rrsum+=real(m_rr(b,b));
-      rr = real(m_rr(b,b))/ssq[b];
-      if ( rr > max_resid ) max_resid = rr;
-    }
-
-    std::cout << GridLogIterative << "\t Block Iteration "<<k<<" ave resid "<< std::sqrt(rrsum/sssum) << " max "<< std::sqrt(max_resid) <<std::endl;
-
-    if ( max_resid < Tolerance*Tolerance ) { 
-
-      SolverTimer.Stop();
-
-      std::cout << GridLogMessage<<"BlockCGrQ converged in "<<k<<" iterations"<<std::endl;
-
-      for(int b=0;b<Nblock;b++){
-	std::cout << GridLogMessage<< "\t\tblock "<<b<<" computed resid "<< std::sqrt(real(m_rr(b,b))/ssq[b])<<std::endl;
-      }
-      std::cout << GridLogMessage<<"\tMax residual is "<<std::sqrt(max_resid)<<std::endl;
-
-      for(int b=0;b<Nblock;b++) Linop.HermOp(X[b], AD[b]);
-      for(int b=0;b<Nblock;b++) AD[b] = AD[b]-B[b];
-      TrueResidual = std::sqrt(normv(AD)/normv(B));
-      std::cout << GridLogMessage << "\tTrue residual is " << TrueResidual <<std::endl;
-
-      std::cout << GridLogMessage << "Time Breakdown "<<std::endl;
-      std::cout << GridLogMessage << "\tElapsed    " << SolverTimer.Elapsed()     <<std::endl;
-      std::cout << GridLogMessage << "\tMatrix     " << MatrixTimer.Elapsed()     <<std::endl;
-      std::cout << GridLogMessage << "\tInnerProd  " << sliceInnerTimer.Elapsed() <<std::endl;
-      std::cout << GridLogMessage << "\tMaddMatrix " << sliceMaddTimer.Elapsed()  <<std::endl;
-      std::cout << GridLogMessage << "\tThinQRfact " << QRTimer.Elapsed()  <<std::endl;
-	    
-      IterationsToComplete = k;
-      return;
-    }
-
-  }
-  std::cout << GridLogMessage << "BlockConjugateGradient(rQ) did NOT converge" << std::endl;
-
-  if (ErrorOnNoConverge) GRID_ASSERT(0);
   IterationsToComplete = k;
 }
 
 };
 
-NAMESPACE_END(Grid);
+}
-
+#endif

Grid/algorithms/iterative/CommunicationAvoidingGeneralisedMinimalResidual.h

@@ -1,248 +0,0 @@
-/*************************************************************************************
-
-Grid physics library, www.github.com/paboyle/Grid
-
-Source file: ./lib/algorithms/iterative/CommunicationAvoidingGeneralisedMinimalResidual.h
-
-Copyright (C) 2015
-
-Author: Daniel Richtmann <daniel.richtmann@ur.de>
-
-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 GRID_COMMUNICATION_AVOIDING_GENERALISED_MINIMAL_RESIDUAL_H
-#define GRID_COMMUNICATION_AVOIDING_GENERALISED_MINIMAL_RESIDUAL_H
-
-namespace Grid {
-
-template<class Field>
-class CommunicationAvoidingGeneralisedMinimalResidual : public OperatorFunction<Field> {
- public:
-  using OperatorFunction<Field>::operator();
-
-  bool ErrorOnNoConverge; // Throw an GRID_ASSERT when CAGMRES fails to converge,
-                          // defaults to true
-
-  RealD   Tolerance;
-
-  Integer MaxIterations;
-  Integer RestartLength;
-  Integer MaxNumberOfRestarts;
-  Integer IterationCount; // Number of iterations the CAGMRES took to finish,
-                          // filled in upon completion
-
-  GridStopWatch MatrixTimer;
-  GridStopWatch LinalgTimer;
-  GridStopWatch QrTimer;
-  GridStopWatch CompSolutionTimer;
-
-  Eigen::MatrixXcd H;
-
-  std::vector<ComplexD> y;
-  std::vector<ComplexD> gamma;
-  std::vector<ComplexD> c;
-  std::vector<ComplexD> s;
-
-  CommunicationAvoidingGeneralisedMinimalResidual(RealD   tol,
-                                                  Integer maxit,
-                                                  Integer restart_length,
-                                                  bool    err_on_no_conv = true)
-      : Tolerance(tol)
-      , MaxIterations(maxit)
-      , RestartLength(restart_length)
-      , MaxNumberOfRestarts(MaxIterations/RestartLength + ((MaxIterations%RestartLength == 0) ? 0 : 1))
-      , ErrorOnNoConverge(err_on_no_conv)
-      , H(Eigen::MatrixXcd::Zero(RestartLength, RestartLength + 1)) // sizes taken from DD-αAMG code base
-      , y(RestartLength + 1, 0.)
-      , gamma(RestartLength + 1, 0.)
-      , c(RestartLength + 1, 0.)
-      , s(RestartLength + 1, 0.) {};
-
-  void operator()(LinearOperatorBase<Field> &LinOp, const Field &src, Field &psi) {
-
-    std::cout << GridLogWarning << "This algorithm currently doesn't differ from regular GMRES" << std::endl;
-
-    psi.Checkerboard() = src.Checkerboard();
-    conformable(psi, src);
-
-    RealD guess = norm2(psi);
-    GRID_ASSERT(std::isnan(guess) == 0);
-
-    RealD cp;
-    RealD ssq = norm2(src);
-    RealD rsq = Tolerance * Tolerance * ssq;
-
-    Field r(src.Grid());
-
-    std::cout << std::setprecision(4) << std::scientific;
-    std::cout << GridLogIterative << "CommunicationAvoidingGeneralisedMinimalResidual: guess " << guess << std::endl;
-    std::cout << GridLogIterative << "CommunicationAvoidingGeneralisedMinimalResidual:   src " << ssq   << std::endl;
-
-    MatrixTimer.Reset();
-    LinalgTimer.Reset();
-    QrTimer.Reset();
-    CompSolutionTimer.Reset();
-
-    GridStopWatch SolverTimer;
-    SolverTimer.Start();
-
-    IterationCount = 0;
-
-    for (int k=0; k<MaxNumberOfRestarts; k++) {
-
-      cp = outerLoopBody(LinOp, src, psi, rsq);
-
-      // Stopping condition
-      if (cp <= rsq) {
-
-        SolverTimer.Stop();
-
-        LinOp.Op(psi,r);
-        axpy(r,-1.0,src,r);
-
-        RealD srcnorm       = sqrt(ssq);
-        RealD resnorm       = sqrt(norm2(r));
-        RealD true_residual = resnorm / srcnorm;
-
-        std::cout << GridLogMessage        << "CommunicationAvoidingGeneralisedMinimalResidual: Converged on iteration " << IterationCount
-                  << " computed residual " << sqrt(cp / ssq)
-                  << " true residual "     << true_residual
-                  << " target "            << Tolerance << std::endl;
-
-        std::cout << GridLogMessage << "CAGMRES Time elapsed: Total   " <<       SolverTimer.Elapsed() << std::endl;
-        std::cout << GridLogMessage << "CAGMRES Time elapsed: Matrix  " <<       MatrixTimer.Elapsed() << std::endl;
-        std::cout << GridLogMessage << "CAGMRES Time elapsed: Linalg  " <<       LinalgTimer.Elapsed() << std::endl;
-        std::cout << GridLogMessage << "CAGMRES Time elapsed: QR      " <<           QrTimer.Elapsed() << std::endl;
-        std::cout << GridLogMessage << "CAGMRES Time elapsed: CompSol " << CompSolutionTimer.Elapsed() << std::endl;
-        return;
-      }
-    }
-
-    std::cout << GridLogMessage << "CommunicationAvoidingGeneralisedMinimalResidual did NOT converge" << std::endl;
-
-    if (ErrorOnNoConverge)
-      GRID_ASSERT(0);
-  }
-
-  RealD outerLoopBody(LinearOperatorBase<Field> &LinOp, const Field &src, Field &psi, RealD rsq) {
-
-    RealD cp = 0;
-
-    Field w(src.Grid());
-    Field r(src.Grid());
-
-    // this should probably be made a class member so that it is only allocated once, not in every restart
-    std::vector<Field> v(RestartLength + 1, src.Grid()); for (auto &elem : v) elem = Zero();
-
-    MatrixTimer.Start();
-    LinOp.Op(psi, w);
-    MatrixTimer.Stop();
-
-    LinalgTimer.Start();
-    r = src - w;
-
-    gamma[0] = sqrt(norm2(r));
-
-    ComplexD scale = 1.0/gamma[0];
-    v[0] = scale * r;
-
-    LinalgTimer.Stop();
-
-    for (int i=0; i<RestartLength; i++) {
-
-      IterationCount++;
-
-      arnoldiStep(LinOp, v, w, i);
-
-      qrUpdate(i);
-
-      cp = norm(gamma[i+1]);
-
-      std::cout << GridLogIterative << "CommunicationAvoidingGeneralisedMinimalResidual: Iteration " << IterationCount
-                << " residual " << cp << " target " << rsq << std::endl;
-
-      if ((i == RestartLength - 1) || (IterationCount == MaxIterations) || (cp <= rsq)) {
-
-        computeSolution(v, psi, i);
-
-        return cp;
-      }
-    }
-
-    GRID_ASSERT(0); // Never reached
-    return cp;
-  }
-
-  void arnoldiStep(LinearOperatorBase<Field> &LinOp, std::vector<Field> &v, Field &w, int iter) {
-
-    MatrixTimer.Start();
-    LinOp.Op(v[iter], w);
-    MatrixTimer.Stop();
-
-    LinalgTimer.Start();
-    for (int i = 0; i <= iter; ++i) {
-      H(iter, i) = innerProduct(v[i], w);
-      w = w - ComplexD(H(iter, i)) * v[i];
-    }
-
-    H(iter, iter + 1) = sqrt(norm2(w));
-    v[iter + 1] = ComplexD(1. / H(iter, iter + 1)) * w;
-    LinalgTimer.Stop();
-  }
-
-  void qrUpdate(int iter) {
-
-    QrTimer.Start();
-    for (int i = 0; i < iter ; ++i) {
-      auto tmp       = -s[i] * ComplexD(H(iter, i)) + c[i] * ComplexD(H(iter, i + 1));
-      H(iter, i)     = conjugate(c[i]) * ComplexD(H(iter, i)) + conjugate(s[i]) * ComplexD(H(iter, i + 1));
-      H(iter, i + 1) = tmp;
-    }
-
-    // Compute new Givens Rotation
-    auto nu     = sqrt(std::norm(H(iter, iter)) + std::norm(H(iter, iter + 1)));
-    c[iter]     = H(iter, iter) / nu;
-    s[iter]     = H(iter, iter + 1) / nu;
-
-    // Apply new Givens rotation
-    H(iter, iter)     = nu;
-    H(iter, iter + 1) = 0.;
-
-    gamma[iter + 1] = -s[iter] * gamma[iter];
-    gamma[iter]     = conjugate(c[iter]) * gamma[iter];
-    QrTimer.Stop();
-  }
-
-  void computeSolution(std::vector<Field> const &v, Field &psi, int iter) {
-
-    CompSolutionTimer.Start();
-    for (int i = iter; i >= 0; i--) {
-      y[i] = gamma[i];
-      for (int k = i + 1; k <= iter; k++)
-        y[i] = y[i] - ComplexD(H(k, i)) * y[k];
-      y[i] = y[i] / ComplexD(H(i, i));
-    }
-
-    for (int i = 0; i <= iter; i++)
-      psi = psi + v[i] * y[i];
-    CompSolutionTimer.Stop();
-  }
-};
-}
-#endif

Grid/algorithms/iterative/ConjugateGradient.h

@@ -27,95 +27,56 @@ 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 */
+/*  END LEGAL */
 #ifndef GRID_CONJUGATE_GRADIENT_H
 #define GRID_CONJUGATE_GRADIENT_H
 
-NAMESPACE_BEGIN(Grid);
+namespace Grid {
 
 /////////////////////////////////////////////////////////////
 // Base classes for iterative processes based on operators
 // single input vec, single output vec.
 /////////////////////////////////////////////////////////////
 
-
 template <class Field>
 class ConjugateGradient : public OperatorFunction<Field> {
-public:
+ public:
-
+  bool ErrorOnNoConverge;  // throw an assert when the CG fails to converge.
-  using OperatorFunction<Field>::operator();
-  
-  bool ErrorOnNoConverge;  // throw an GRID_ASSERT when the CG fails to converge.
                            // Defaults true.
   RealD Tolerance;
   Integer MaxIterations;
   Integer IterationsToComplete; //Number of iterations the CG took to finish. Filled in upon completion
-  RealD TrueResidual;
   
   ConjugateGradient(RealD tol, Integer maxit, bool err_on_no_conv = true)
-    : Tolerance(tol),
+      : Tolerance(tol),
-      MaxIterations(maxit),
+        MaxIterations(maxit),
-      ErrorOnNoConverge(err_on_no_conv)
+        ErrorOnNoConverge(err_on_no_conv){};
-  {};
 
-  virtual void LogIteration(int k,RealD a,RealD b){
+  void operator()(LinearOperatorBase<Field> &Linop, const Field &src, Field &psi) {
-    //    std::cout << "ConjugageGradient::LogIteration() "<<std::endl;
-  };
-  virtual void LogBegin(void){
-    std::cout << "ConjugageGradient::LogBegin() "<<std::endl;
-  };
 
-    void operator()(LinearOperatorBase<Field> &Linop, const Field &src, Field &psi) {
-
-      this->LogBegin();
-
-      GRID_TRACE("ConjugateGradient");
-    GridStopWatch PreambleTimer;
-    GridStopWatch ConstructTimer;
-    GridStopWatch NormTimer;
-    GridStopWatch AssignTimer;
-    PreambleTimer.Start();
-    psi.Checkerboard() = src.Checkerboard();
 
+    psi.checkerboard = src.checkerboard;
     conformable(psi, src);
 
-    RealD cp, c, a, d, b, ssq, qq;
+    RealD cp, c, a, d, b, ssq, qq, b_pred;
-    //RealD b_pred;
 
-    // Was doing copies
+    Field p(src);
-    ConstructTimer.Start();
+    Field mmp(src);
-    Field p  (src.Grid());
+    Field r(src);
-    Field mmp(src.Grid());
-    Field r  (src.Grid());
-    ConstructTimer.Stop();
 
     // Initial residual computation & set up
-    NormTimer.Start();
-    ssq = norm2(src);
     RealD guess = norm2(psi);
-    NormTimer.Stop();
+    assert(std::isnan(guess) == 0);
-    GRID_ASSERT(std::isnan(guess) == 0);
-    AssignTimer.Start();
-    if ( guess == 0.0 ) {
-      r = src;
-      p = r;
-      a = ssq;
-    } else { 
-      Linop.HermOpAndNorm(psi, mmp, d, b);
-      r = src - mmp;
-      p = r;
-      a = norm2(p);
-    }
-    cp = a;
-    AssignTimer.Stop();
 
-    // Handle trivial case of zero src
+    
-    if (ssq == 0.){
+    Linop.HermOpAndNorm(psi, mmp, d, b);
-      psi = Zero();
+
-      IterationsToComplete = 1;
+    r = src - mmp;
-      TrueResidual = 0.;
+    p = r;
-      return;
+
-    }
+    a = norm2(p);
+    cp = a;
+    ssq = norm2(src);
 
     std::cout << GridLogIterative << std::setprecision(8) << "ConjugateGradient: guess " << guess << std::endl;
     std::cout << GridLogIterative << std::setprecision(8) << "ConjugateGradient:   src " << ssq << std::endl;
@@ -128,16 +89,12 @@ public:
 
     // Check if guess is really REALLY good :)
     if (cp <= rsq) {
-      TrueResidual = std::sqrt(a/ssq);
-      std::cout << GridLogMessage << "ConjugateGradient guess is converged already " << std::endl;
-      IterationsToComplete = 0;	
       return;
     }
 
     std::cout << GridLogIterative << std::setprecision(8)
               << "ConjugateGradient: k=0 residual " << cp << " target " << rsq << std::endl;
 
-    PreambleTimer.Stop();
     GridStopWatch LinalgTimer;
     GridStopWatch InnerTimer;
     GridStopWatch AxpyNormTimer;
@@ -145,13 +102,9 @@ public:
     GridStopWatch MatrixTimer;
     GridStopWatch SolverTimer;
 
-    RealD usecs = -usecond();
     SolverTimer.Start();
     int k;
-    for (k = 1; k <= MaxIterations; k++) {
+    for (k = 1; k <= MaxIterations*1000; k++) {
-
-      GridStopWatch IterationTimer;
-      IterationTimer.Start();
       c = cp;
 
       MatrixTimer.Start();
@@ -172,206 +125,53 @@ public:
       b = cp / c;
 
       LinearCombTimer.Start();
-      {
+      parallel_for(int ss=0;ss<src._grid->oSites();ss++){
-	autoView( psi_v , psi, AcceleratorWrite);
+	vstream(psi[ss], a      *  p[ss] + psi[ss]);
-	autoView( p_v   , p,   AcceleratorWrite);
+	vstream(p  [ss], b      *  p[ss] + r[ss]);
-	autoView( r_v   , r,   AcceleratorWrite);
-	accelerator_for(ss,p_v.size(), Field::vector_object::Nsimd(),{
-	    coalescedWrite(psi_v[ss], a      *  p_v(ss) + psi_v(ss));
-	    coalescedWrite(p_v[ss]  , b      *  p_v(ss) + r_v  (ss));
-	});
       }
       LinearCombTimer.Stop();
       LinalgTimer.Stop();
-      LogIteration(k,a,b);
 
-      IterationTimer.Stop();
+      std::cout << GridLogIterative << "ConjugateGradient: Iteration " << k
-      if ( (k % 500) == 0 ) {
+                << " residual " << cp << " target " << rsq << std::endl;
-	std::cout << GridLogMessage << "ConjugateGradient: Iteration " << k
-                << " residual " << sqrt(cp/ssq) << " target " << Tolerance << std::endl;
-      } else { 
-	std::cout << GridLogIterative << "ConjugateGradient: Iteration " << k
-		  << " residual " << sqrt(cp/ssq) << " target " << Tolerance << " took " << IterationTimer.Elapsed() << std::endl;
-      }
 
       // Stopping condition
       if (cp <= rsq) {
-	usecs +=usecond();
         SolverTimer.Stop();
         Linop.HermOpAndNorm(psi, mmp, d, qq);
         p = mmp - src;
-	GridBase *grid = src.Grid();
-	RealD DwfFlops = (1452. )*grid->gSites()*4*k
-   	               + (8+4+8+4+4)*12*grid->gSites()*k; // CG linear algebra
-        RealD srcnorm = std::sqrt(norm2(src));
-        RealD resnorm = std::sqrt(norm2(p));
-        RealD true_residual = resnorm / srcnorm;
-        std::cout << GridLogMessage << "ConjugateGradient Converged on iteration " << k 
-		  << "\tComputed residual " << std::sqrt(cp / ssq)
-		  << "\tTrue residual " << true_residual
-		  << "\tTarget " << Tolerance << std::endl;
 
-	//	std::cout << GridLogMessage << "\tPreamble   " << PreambleTimer.Elapsed() <<std::endl;
+        RealD srcnorm = sqrt(norm2(src));
-	std::cout << GridLogMessage << "\tPreamble   " << PreambleTimer.Elapsed() <<std::endl;
+        RealD resnorm = sqrt(norm2(p));
-	std::cout << GridLogMessage << "\tConstruct  " << ConstructTimer.Elapsed() <<std::endl;
+        RealD true_residual = resnorm / srcnorm;
-	std::cout << GridLogMessage << "\tNorm       " << NormTimer.Elapsed() <<std::endl;
+
-	std::cout << GridLogMessage << "\tAssign     " << AssignTimer.Elapsed() <<std::endl;
+        std::cout << GridLogMessage << "ConjugateGradient Converged on iteration " << k << std::endl;
-	std::cout << GridLogMessage << "\tSolver     " << SolverTimer.Elapsed() <<std::endl;
+        std::cout << GridLogMessage << "\tComputed residual " << sqrt(cp / ssq)<<std::endl;
-	std::cout << GridLogMessage << "Solver breakdown "<<std::endl;
+	std::cout << GridLogMessage << "\tTrue residual " << true_residual<<std::endl;
+	std::cout << GridLogMessage << "\tTarget " << Tolerance << std::endl;
+
+        std::cout << GridLogMessage << "Time breakdown "<<std::endl;
+	std::cout << GridLogMessage << "\tElapsed    " << SolverTimer.Elapsed() <<std::endl;
 	std::cout << GridLogMessage << "\tMatrix     " << MatrixTimer.Elapsed() <<std::endl;
 	std::cout << GridLogMessage << "\tLinalg     " << LinalgTimer.Elapsed() <<std::endl;
-	std::cout << GridLogMessage << "\t\tInner      " << InnerTimer.Elapsed() <<std::endl;
+	std::cout << GridLogMessage << "\tInner      " << InnerTimer.Elapsed() <<std::endl;
-	std::cout << GridLogMessage << "\t\tAxpyNorm   " << AxpyNormTimer.Elapsed() <<std::endl;
+	std::cout << GridLogMessage << "\tAxpyNorm   " << AxpyNormTimer.Elapsed() <<std::endl;
-	std::cout << GridLogMessage << "\t\tLinearComb " << LinearCombTimer.Elapsed() <<std::endl;
+	std::cout << GridLogMessage << "\tLinearComb " << LinearCombTimer.Elapsed() <<std::endl;
 
-	std::cout << GridLogDebug << "\tMobius flop rate " << DwfFlops/ usecs<< " Gflops " <<std::endl;
+        if (ErrorOnNoConverge) assert(true_residual / Tolerance < 10000.0);
-
-        if (ErrorOnNoConverge) GRID_ASSERT(true_residual / Tolerance < 10000.0);
 
 	IterationsToComplete = k;	
-	TrueResidual = true_residual;
 
         return;
       }
     }
-    // Failed. Calculate true residual before giving up                                                         
+    std::cout << GridLogMessage << "ConjugateGradient did NOT converge"
-    // Linop.HermOpAndNorm(psi, mmp, d, qq);
+              << std::endl;
-    //    p = mmp - src;
-    //TrueResidual = sqrt(norm2(p)/ssq);
-    //    TrueResidual = 1;
 
-    std::cout << GridLogMessage << "ConjugateGradient did NOT converge "<<k<<" / "<< MaxIterations
+    if (ErrorOnNoConverge) assert(0);
-    	      <<" residual "<< std::sqrt(cp / ssq)<< std::endl;
-    SolverTimer.Stop();
-    std::cout << GridLogMessage << "\tPreamble   " << PreambleTimer.Elapsed() <<std::endl;
-    std::cout << GridLogMessage << "\tConstruct  " << ConstructTimer.Elapsed() <<std::endl;
-    std::cout << GridLogMessage << "\tNorm       " << NormTimer.Elapsed() <<std::endl;
-    std::cout << GridLogMessage << "\tAssign     " << AssignTimer.Elapsed() <<std::endl;
-    std::cout << GridLogMessage << "\tSolver     " << SolverTimer.Elapsed() <<std::endl;
-    std::cout << GridLogMessage << "Solver breakdown "<<std::endl;
-    std::cout << GridLogMessage << "\tMatrix     " << MatrixTimer.Elapsed() <<std::endl;
-    std::cout << GridLogMessage<< "\tLinalg     " << LinalgTimer.Elapsed() <<std::endl;
-    std::cout << GridLogPerformance << "\t\tInner      " << InnerTimer.Elapsed() <<std::endl;
-    std::cout << GridLogPerformance << "\t\tAxpyNorm   " << AxpyNormTimer.Elapsed() <<std::endl;
-    std::cout << GridLogPerformance << "\t\tLinearComb " << LinearCombTimer.Elapsed() <<std::endl;
-
-    if (ErrorOnNoConverge) GRID_ASSERT(0);
     IterationsToComplete = k;
 
   }
 };
-
+}
-
-template <class Field>
-class ConjugateGradientPolynomial : public ConjugateGradient<Field> {
-public:
-  // Optionally record the CG polynomial
-  std::vector<double> ak;
-  std::vector<double> bk;
-  std::vector<double> poly_p;
-  std::vector<double> poly_r;
-  std::vector<double> poly_Ap;
-  std::vector<double> polynomial;
-
-public:
-  ConjugateGradientPolynomial(RealD tol, Integer maxit, bool err_on_no_conv = true)
-    : ConjugateGradient<Field>(tol,maxit,err_on_no_conv)
-  { };
-  void PolyHermOp(LinearOperatorBase<Field> &Linop, const Field &src, Field &psi)
-  {
-    Field tmp(src.Grid());
-    Field AtoN(src.Grid());
-    AtoN = src;
-    psi=AtoN*polynomial[0];
-    for(int n=1;n<polynomial.size();n++){
-      tmp = AtoN;
-      Linop.HermOp(tmp,AtoN);
-      psi = psi + polynomial[n]*AtoN;
-    }
-  }
-  void CGsequenceHermOp(LinearOperatorBase<Field> &Linop, const Field &src, Field &x)
-  {
-    Field Ap(src.Grid());
-    Field r(src.Grid());
-    Field p(src.Grid());
-    p=src;
-    r=src;
-    x=Zero();
-    x.Checkerboard()=src.Checkerboard();
-    for(int k=0;k<ak.size();k++){
-      x = x + ak[k]*p;
-      Linop.HermOp(p,Ap);
-      r = r - ak[k] * Ap;
-      p = r + bk[k] * p;
-    }
-  }
-  void Solve(LinearOperatorBase<Field> &Linop, const Field &src, Field &psi)
-  {
-    psi=Zero();
-    this->operator ()(Linop,src,psi);
-  }
-  virtual void LogBegin(void)
-  {
-    std::cout << "ConjugageGradientPolynomial::LogBegin() "<<std::endl;
-    ak.resize(0);
-    bk.resize(0);
-    polynomial.resize(0);
-    poly_Ap.resize(0);
-    poly_Ap.resize(0);
-    poly_p.resize(1);
-    poly_r.resize(1);
-    poly_p[0]=1.0;
-    poly_r[0]=1.0;
-  };
-  virtual void LogIteration(int k,RealD a,RealD b)
-  {
-    // With zero guess,
-    // p = r = src
-    //
-    // iterate:
-    //   x =  x + a p
-    //   r =  r - a A p
-    //   p =  r + b p
-    //
-    // [0]
-    // r = x
-    // p = x
-    // Ap=0
-    //
-    // [1]
-    // Ap = A x + 0  ==> shift poly P right by 1 and add 0.
-    // x  = x + a p  ==> add polynomials term by term 
-    // r  = r - a A p  ==> add polynomials term by term
-    // p  = r + b p  ==> add polynomials term by term
-    //
-    std::cout << "ConjugageGradientPolynomial::LogIteration() "<<k<<std::endl;
-    ak.push_back(a);
-    bk.push_back(b);
-    //  Ap= right_shift(p)
-    poly_Ap.resize(k+1);
-    poly_Ap[0]=0.0;
-    for(int i=0;i<k;i++){
-      poly_Ap[i+1]=poly_p[i];
-    }
-
-    //  x = x + a p
-    polynomial.resize(k);
-    polynomial[k-1]=0.0;
-    for(int i=0;i<k;i++){
-      polynomial[i] = polynomial[i] + a * poly_p[i];
-    }
-    
-    //  r = r - a Ap
-    //  p = r + b p
-    poly_r.resize(k+1);
-    poly_p.resize(k+1);
-    poly_r[k] = poly_p[k] = 0.0;
-    for(int i=0;i<k+1;i++){
-      poly_r[i] = poly_r[i] - a * poly_Ap[i];
-      poly_p[i] = poly_r[i] + b * poly_p[i];
-    }
-  }
-};
-
-NAMESPACE_END(Grid);
 #endif

Grid/algorithms/iterative/ConjugateGradientMixedPrec.h

@@ -1,4 +1,4 @@
-/*************************************************************************************
+    /*************************************************************************************
 
     Grid physics library, www.github.com/paboyle/Grid 
 
@@ -23,20 +23,17 @@ Author: Christopher Kelly <ckelly@phys.columbia.edu>
     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 */
+    /*  END LEGAL */
 #ifndef GRID_CONJUGATE_GRADIENT_MIXED_PREC_H
 #define GRID_CONJUGATE_GRADIENT_MIXED_PREC_H
 
-NAMESPACE_BEGIN(Grid);
+namespace Grid {
 
   //Mixed precision restarted defect correction CG
-  template<class FieldD,class FieldF, 
+  template<class FieldD,class FieldF, typename std::enable_if< getPrecision<FieldD>::value == 2, int>::type = 0,typename std::enable_if< getPrecision<FieldF>::value == 1, int>::type = 0> 
-    typename std::enable_if< getPrecision<FieldD>::value == 2, int>::type = 0,
-    typename std::enable_if< getPrecision<FieldF>::value == 1, int>::type = 0> 
   class MixedPrecisionConjugateGradient : public LinearFunction<FieldD> {
   public:                                                
-    using LinearFunction<FieldD>::operator();
     RealD   Tolerance;
     RealD   InnerTolerance; //Initial tolerance for inner CG. Defaults to Tolerance but can be changed
     Integer MaxInnerIterations;
@@ -49,17 +46,11 @@ NAMESPACE_BEGIN(Grid);
     Integer TotalInnerIterations; //Number of inner CG iterations
     Integer TotalOuterIterations; //Number of restarts
     Integer TotalFinalStepIterations; //Number of CG iterations in final patch-up step
-    RealD TrueResidual;
 
     //Option to speed up *inner single precision* solves using a LinearFunction that produces a guess
     LinearFunction<FieldF> *guesser;
     
-    MixedPrecisionConjugateGradient(RealD tol, 
+    MixedPrecisionConjugateGradient(RealD tol, Integer maxinnerit, Integer maxouterit, GridBase* _sp_grid, LinearOperatorBase<FieldF> &_Linop_f, LinearOperatorBase<FieldD> &_Linop_d) :
-				    Integer maxinnerit, 
-				    Integer maxouterit, 
-				    GridBase* _sp_grid, 
-				    LinearOperatorBase<FieldF> &_Linop_f, 
-				    LinearOperatorBase<FieldD> &_Linop_d) :
       Linop_f(_Linop_f), Linop_d(_Linop_d),
       Tolerance(tol), InnerTolerance(tol), MaxInnerIterations(maxinnerit), MaxOuterIterations(maxouterit), SinglePrecGrid(_sp_grid),
       OuterLoopNormMult(100.), guesser(NULL){ };
@@ -68,103 +59,96 @@ NAMESPACE_BEGIN(Grid);
       guesser = &g;
     }
   
-  void operator() (const FieldD &src_d_in, FieldD &sol_d){
+    void operator() (const FieldD &src_d_in, FieldD &sol_d){
-    std::cout << GridLogMessage << "MixedPrecisionConjugateGradient: Starting mixed precision CG with outer tolerance " << Tolerance << " and inner tolerance " << InnerTolerance << std::endl;
+      TotalInnerIterations = 0;
-    TotalInnerIterations = 0;
 	
-    GridStopWatch TotalTimer;
+      GridStopWatch TotalTimer;
-    TotalTimer.Start();
+      TotalTimer.Start();
     
-    int cb = src_d_in.Checkerboard();
+      int cb = src_d_in.checkerboard;
-    sol_d.Checkerboard() = cb;
+      sol_d.checkerboard = cb;
     
-    RealD src_norm = norm2(src_d_in);
+      RealD src_norm = norm2(src_d_in);
-    RealD stop = src_norm * Tolerance*Tolerance;
+      RealD stop = src_norm * Tolerance*Tolerance;
 
-    GridBase* DoublePrecGrid = src_d_in.Grid();
+      GridBase* DoublePrecGrid = src_d_in._grid;
-    FieldD tmp_d(DoublePrecGrid);
+      FieldD tmp_d(DoublePrecGrid);
-    tmp_d.Checkerboard() = cb;
+      tmp_d.checkerboard = cb;
     
-    FieldD tmp2_d(DoublePrecGrid);
+      FieldD tmp2_d(DoublePrecGrid);
-    tmp2_d.Checkerboard() = cb;
+      tmp2_d.checkerboard = cb;
     
-    FieldD src_d(DoublePrecGrid);
+      FieldD src_d(DoublePrecGrid);
-    src_d = src_d_in; //source for next inner iteration, computed from residual during operation
+      src_d = src_d_in; //source for next inner iteration, computed from residual during operation
     
-    RealD inner_tol = InnerTolerance;
+      RealD inner_tol = InnerTolerance;
     
-    FieldF src_f(SinglePrecGrid);
+      FieldF src_f(SinglePrecGrid);
-    src_f.Checkerboard() = cb;
+      src_f.checkerboard = cb;
     
-    FieldF sol_f(SinglePrecGrid);
+      FieldF sol_f(SinglePrecGrid);
-    sol_f.Checkerboard() = cb;
+      sol_f.checkerboard = cb;
     
-    std::cout<<GridLogMessage<<"MixedPrecisionConjugateGradient: Starting initial inner CG with tolerance " << inner_tol << std::endl;
+      ConjugateGradient<FieldF> CG_f(inner_tol, MaxInnerIterations);
-    ConjugateGradient<FieldF> CG_f(inner_tol, MaxInnerIterations);
+      CG_f.ErrorOnNoConverge = false;
-    CG_f.ErrorOnNoConverge = false;
 
-    GridStopWatch InnerCGtimer;
+      GridStopWatch InnerCGtimer;
 
-    GridStopWatch PrecChangeTimer;
+      GridStopWatch PrecChangeTimer;
     
-    Integer &outer_iter = TotalOuterIterations; //so it will be equal to the final iteration count
+      Integer &outer_iter = TotalOuterIterations; //so it will be equal to the final iteration count
       
-    precisionChangeWorkspace pc_wk_sp_to_dp(DoublePrecGrid, SinglePrecGrid);
+      for(outer_iter = 0; outer_iter < MaxOuterIterations; outer_iter++){
-    precisionChangeWorkspace pc_wk_dp_to_sp(SinglePrecGrid, DoublePrecGrid);
+	//Compute double precision rsd and also new RHS vector.
+	Linop_d.HermOp(sol_d, tmp_d);
+	RealD norm = axpy_norm(src_d, -1., tmp_d, src_d_in); //src_d is residual vector
       
-    for(outer_iter = 0; outer_iter < MaxOuterIterations; outer_iter++){
+	std::cout<<GridLogMessage<<"MixedPrecisionConjugateGradient: Outer iteration " <<outer_iter<<" residual "<< norm<< " target "<< stop<<std::endl;
-      //Compute double precision rsd and also new RHS vector.
-      Linop_d.HermOp(sol_d, tmp_d);
-      RealD norm = axpy_norm(src_d, -1., tmp_d, src_d_in); //src_d is residual vector
-      std::cout<<GridLogMessage<<" rsd norm "<<norm<<std::endl;
-      std::cout<<GridLogMessage<<"MixedPrecisionConjugateGradient: Outer iteration " <<outer_iter<<" residual "<< norm<< " target "<< stop<<std::endl;
 
-      if(norm < OuterLoopNormMult * stop){
+	if(norm < OuterLoopNormMult * stop){
-	std::cout<<GridLogMessage<<"MixedPrecisionConjugateGradient: Outer iteration converged on iteration " <<outer_iter <<std::endl;
+	  std::cout<<GridLogMessage<<"MixedPrecisionConjugateGradient: Outer iteration converged on iteration " <<outer_iter <<std::endl;
-	break;
+	  break;
+	}
+	while(norm * inner_tol * inner_tol < stop) inner_tol *= 2;  // inner_tol = sqrt(stop/norm) ??
+
+	PrecChangeTimer.Start();
+	precisionChange(src_f, src_d);
+	PrecChangeTimer.Stop();
+      
+	zeroit(sol_f);
+
+	//Optionally improve inner solver guess (eg using known eigenvectors)
+	if(guesser != NULL)
+	  (*guesser)(src_f, sol_f);
+
+	//Inner CG
+	CG_f.Tolerance = inner_tol;
+	InnerCGtimer.Start();
+	CG_f(Linop_f, src_f, sol_f);
+	InnerCGtimer.Stop();
+	TotalInnerIterations += CG_f.IterationsToComplete;
+      
+	//Convert sol back to double and add to double prec solution
+	PrecChangeTimer.Start();
+	precisionChange(tmp_d, sol_f);
+	PrecChangeTimer.Stop();
+      
+	axpy(sol_d, 1.0, tmp_d, sol_d);
       }
-      while(norm * inner_tol * inner_tol < stop*1.01) inner_tol *= 2;  // inner_tol = sqrt(stop/norm) ??
     
-      PrecChangeTimer.Start();
+      //Final trial CG
-      precisionChange(src_f, src_d, pc_wk_dp_to_sp);
+      std::cout<<GridLogMessage<<"MixedPrecisionConjugateGradient: Starting final patch-up double-precision solve"<<std::endl;
-      PrecChangeTimer.Stop();
     
-      sol_f = Zero();
+      ConjugateGradient<FieldD> CG_d(Tolerance, MaxInnerIterations);
+      CG_d(Linop_d, src_d_in, sol_d);
+      TotalFinalStepIterations = CG_d.IterationsToComplete;
 
-      //Optionally improve inner solver guess (eg using known eigenvectors)
+      TotalTimer.Stop();
-      if(guesser != NULL)
+      std::cout<<GridLogMessage<<"MixedPrecisionConjugateGradient: Inner CG iterations " << TotalInnerIterations << " Restarts " << TotalOuterIterations << " Final CG iterations " << TotalFinalStepIterations << std::endl;
-	(*guesser)(src_f, sol_f);
+      std::cout<<GridLogMessage<<"MixedPrecisionConjugateGradient: Total time " << TotalTimer.Elapsed() << " Precision change " << PrecChangeTimer.Elapsed() << " Inner CG total " << InnerCGtimer.Elapsed() << std::endl;
-
-      //Inner CG
-      std::cout<<GridLogMessage<<"MixedPrecisionConjugateGradient: Outer iteration " << outer_iter << " starting inner CG with tolerance " << inner_tol << std::endl;
-      CG_f.Tolerance = inner_tol;
-      InnerCGtimer.Start();
-      CG_f(Linop_f, src_f, sol_f);
-      InnerCGtimer.Stop();
-      TotalInnerIterations += CG_f.IterationsToComplete;
-      
-      //Convert sol back to double and add to double prec solution
-      PrecChangeTimer.Start();
-      precisionChange(tmp_d, sol_f, pc_wk_sp_to_dp);
-      PrecChangeTimer.Stop();
-      
-      axpy(sol_d, 1.0, tmp_d, sol_d);
     }
+  };
 
-    //Final trial CG
+}
-    std::cout<<GridLogMessage<<"MixedPrecisionConjugateGradient: Starting final patch-up double-precision solve"<<std::endl;
-    
-    ConjugateGradient<FieldD> CG_d(Tolerance, MaxInnerIterations);
-    CG_d(Linop_d, src_d_in, sol_d);
-    TotalFinalStepIterations = CG_d.IterationsToComplete;
-    TrueResidual = CG_d.TrueResidual;
-
-    TotalTimer.Stop();
-    std::cout<<GridLogMessage<<"MixedPrecisionConjugateGradient: Inner CG iterations " << TotalInnerIterations << " Restarts " << TotalOuterIterations << " Final CG iterations " << TotalFinalStepIterations << std::endl;
-    std::cout<<GridLogMessage<<"MixedPrecisionConjugateGradient: Total time " << TotalTimer.Elapsed() << " Precision change " << PrecChangeTimer.Elapsed() << " Inner CG total " << InnerCGtimer.Elapsed() << std::endl;
-  }
-};
-
-NAMESPACE_END(Grid);
 
 #endif

Grid/algorithms/iterative/ConjugateGradientMixedPrecBatched.h

@@ -1,213 +0,0 @@
-/*************************************************************************************
-
-    Grid physics library, www.github.com/paboyle/Grid 
-
-    Source file: ./lib/algorithms/iterative/ConjugateGradientMixedPrecBatched.h
-
-    Copyright (C) 2015
-
-    Author: Raoul Hodgson <raoul.hodgson@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 GRID_CONJUGATE_GRADIENT_MIXED_PREC_BATCHED_H
-#define GRID_CONJUGATE_GRADIENT_MIXED_PREC_BATCHED_H
-
-NAMESPACE_BEGIN(Grid);
-
-//Mixed precision restarted defect correction CG
-template<class FieldD,class FieldF, 
-  typename std::enable_if< getPrecision<FieldD>::value == 2, int>::type = 0,
-  typename std::enable_if< getPrecision<FieldF>::value == 1, int>::type = 0> 
-class MixedPrecisionConjugateGradientBatched : public LinearFunction<FieldD> {
-public:
-  using LinearFunction<FieldD>::operator();
-  RealD   Tolerance;
-  RealD   InnerTolerance; //Initial tolerance for inner CG. Defaults to Tolerance but can be changed
-  Integer MaxInnerIterations;
-  Integer MaxOuterIterations;
-  Integer MaxPatchupIterations;
-  GridBase* SinglePrecGrid; //Grid for single-precision fields
-  RealD OuterLoopNormMult; //Stop the outer loop and move to a final double prec solve when the residual is OuterLoopNormMult * Tolerance
-  LinearOperatorBase<FieldF> &Linop_f;
-  LinearOperatorBase<FieldD> &Linop_d;
-
-  //Option to speed up *inner single precision* solves using a LinearFunction that produces a guess
-  LinearFunction<FieldF> *guesser;
-  bool updateResidual;
-  
-  MixedPrecisionConjugateGradientBatched(RealD tol, 
-          Integer maxinnerit, 
-          Integer maxouterit, 
-          Integer maxpatchit,
-          GridBase* _sp_grid, 
-          LinearOperatorBase<FieldF> &_Linop_f, 
-          LinearOperatorBase<FieldD> &_Linop_d,
-          bool _updateResidual=true) :
-    Linop_f(_Linop_f), Linop_d(_Linop_d),
-    Tolerance(tol), InnerTolerance(tol), MaxInnerIterations(maxinnerit), MaxOuterIterations(maxouterit), MaxPatchupIterations(maxpatchit), SinglePrecGrid(_sp_grid),
-    OuterLoopNormMult(100.), guesser(NULL), updateResidual(_updateResidual) { };
-
-  void useGuesser(LinearFunction<FieldF> &g){
-    guesser = &g;
-  }
-  
-  void operator() (const FieldD &src_d_in, FieldD &sol_d){
-    std::vector<FieldD> srcs_d_in{src_d_in};
-    std::vector<FieldD> sols_d{sol_d};
-
-    (*this)(srcs_d_in,sols_d);
-
-    sol_d = sols_d[0];
-  }
-
-  void operator() (const std::vector<FieldD> &src_d_in, std::vector<FieldD> &sol_d){
-    GRID_ASSERT(src_d_in.size() == sol_d.size());
-    int NBatch = src_d_in.size();
-
-    std::cout << GridLogMessage << "NBatch = " << NBatch << std::endl;
-
-    Integer TotalOuterIterations = 0; //Number of restarts
-    std::vector<Integer> TotalInnerIterations(NBatch,0);     //Number of inner CG iterations
-    std::vector<Integer> TotalFinalStepIterations(NBatch,0); //Number of CG iterations in final patch-up step
-  
-    GridStopWatch TotalTimer;
-    TotalTimer.Start();
-
-    GridStopWatch InnerCGtimer;
-    GridStopWatch PrecChangeTimer;
-    
-    int cb = src_d_in[0].Checkerboard();
-    
-    std::vector<RealD> src_norm;
-    std::vector<RealD> norm;
-    std::vector<RealD> stop;
-    
-    GridBase* DoublePrecGrid = src_d_in[0].Grid();
-    FieldD tmp_d(DoublePrecGrid);
-    tmp_d.Checkerboard() = cb;
-    
-    FieldD tmp2_d(DoublePrecGrid);
-    tmp2_d.Checkerboard() = cb;
-
-    std::vector<FieldD> src_d;
-    std::vector<FieldF> src_f;
-    std::vector<FieldF> sol_f;
-
-    for (int i=0; i<NBatch; i++) {
-      sol_d[i].Checkerboard() = cb;
-
-      src_norm.push_back(norm2(src_d_in[i]));
-      norm.push_back(0.);
-      stop.push_back(src_norm[i] * Tolerance*Tolerance);
-
-      src_d.push_back(src_d_in[i]); //source for next inner iteration, computed from residual during operation
-
-      src_f.push_back(SinglePrecGrid);
-      src_f[i].Checkerboard() = cb;
-
-      sol_f.push_back(SinglePrecGrid);
-      sol_f[i].Checkerboard() = cb;
-    }
-    
-    RealD inner_tol = InnerTolerance;
-    
-    ConjugateGradient<FieldF> CG_f(inner_tol, MaxInnerIterations);
-    CG_f.ErrorOnNoConverge = false;
-    
-    Integer &outer_iter = TotalOuterIterations; //so it will be equal to the final iteration count
-      
-    for(outer_iter = 0; outer_iter < MaxOuterIterations; outer_iter++){
-      std::cout << GridLogMessage << std::endl;
-      std::cout << GridLogMessage << "Outer iteration " << outer_iter << std::endl;
-      
-      bool allConverged = true;
-      
-      for (int i=0; i<NBatch; i++) {
-        //Compute double precision rsd and also new RHS vector.
-        Linop_d.HermOp(sol_d[i], tmp_d);
-        norm[i] = axpy_norm(src_d[i], -1., tmp_d, src_d_in[i]); //src_d is residual vector
-        
-        std::cout<<GridLogMessage<<"MixedPrecisionConjugateGradientBatched: Outer iteration " << outer_iter <<" solve " << i << " residual "<< norm[i] << " target "<< stop[i] <<std::endl;
-
-        PrecChangeTimer.Start();
-        precisionChange(src_f[i], src_d[i]);
-        PrecChangeTimer.Stop();
-        
-        sol_f[i] = Zero();
-      
-        if(norm[i] > OuterLoopNormMult * stop[i]) {
-          allConverged = false;
-        }
-      }
-      if (allConverged) break;
-
-      if (updateResidual) {
-        RealD normMax = *std::max_element(std::begin(norm), std::end(norm));
-        RealD stopMax = *std::max_element(std::begin(stop), std::end(stop));
-        while( normMax * inner_tol * inner_tol < stopMax) inner_tol *= 2;  // inner_tol = sqrt(stop/norm) ??
-        CG_f.Tolerance = inner_tol;
-      }
-
-      //Optionally improve inner solver guess (eg using known eigenvectors)
-      if(guesser != NULL) {
-        (*guesser)(src_f, sol_f);
-      }
-
-      for (int i=0; i<NBatch; i++) {
-        //Inner CG
-        InnerCGtimer.Start();
-        CG_f(Linop_f, src_f[i], sol_f[i]);
-        InnerCGtimer.Stop();
-        TotalInnerIterations[i] += CG_f.IterationsToComplete;
-        
-        //Convert sol back to double and add to double prec solution
-        PrecChangeTimer.Start();
-        precisionChange(tmp_d, sol_f[i]);
-        PrecChangeTimer.Stop();
-        
-        axpy(sol_d[i], 1.0, tmp_d, sol_d[i]);
-      }
-
-    }
-    
-    //Final trial CG
-    std::cout << GridLogMessage << std::endl;
-    std::cout<<GridLogMessage<<"MixedPrecisionConjugateGradientBatched: Starting final patch-up double-precision solve"<<std::endl;
-    
-    for (int i=0; i<NBatch; i++) {
-      ConjugateGradient<FieldD> CG_d(Tolerance, MaxPatchupIterations);
-      CG_d(Linop_d, src_d_in[i], sol_d[i]);
-      TotalFinalStepIterations[i] += CG_d.IterationsToComplete;
-    }
-
-    TotalTimer.Stop();
-
-    std::cout << GridLogMessage << std::endl;
-    for (int i=0; i<NBatch; i++) {
-      std::cout<<GridLogMessage<<"MixedPrecisionConjugateGradientBatched: solve " << i << " Inner CG iterations " << TotalInnerIterations[i] << " Restarts " << TotalOuterIterations << " Final CG iterations " << TotalFinalStepIterations[i] << std::endl;
-    }
-    std::cout << GridLogMessage << std::endl;
-    std::cout<<GridLogMessage<<"MixedPrecisionConjugateGradientBatched: Total time " << TotalTimer.Elapsed() << " Precision change " << PrecChangeTimer.Elapsed() << " Inner CG total " << InnerCGtimer.Elapsed() << std::endl;
-    
-  }
-};
-
-NAMESPACE_END(Grid);
-
-#endif

Grid/algorithms/iterative/ConjugateGradientMultiShift.h

@@ -1,4 +1,4 @@
-/*************************************************************************************
+    /*************************************************************************************
 
     Grid physics library, www.github.com/paboyle/Grid 
 
@@ -24,168 +24,146 @@ Author: Peter Boyle <paboyle@ph.ed.ac.uk>
     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 */
+    /*  END LEGAL */
 #ifndef GRID_CONJUGATE_MULTI_SHIFT_GRADIENT_H
 #define GRID_CONJUGATE_MULTI_SHIFT_GRADIENT_H
 
-NAMESPACE_BEGIN(Grid);
+namespace Grid {
 
-/////////////////////////////////////////////////////////////
+    /////////////////////////////////////////////////////////////
-// Base classes for iterative processes based on operators
+    // Base classes for iterative processes based on operators
-// single input vec, single output vec.
+    // single input vec, single output vec.
-/////////////////////////////////////////////////////////////
+    /////////////////////////////////////////////////////////////
 
-template<class Field> 
+  template<class Field> 
-class ConjugateGradientMultiShift : public OperatorMultiFunction<Field>,
+    class ConjugateGradientMultiShift : public OperatorMultiFunction<Field>,
-				    public OperatorFunction<Field>
+                                        public OperatorFunction<Field>
-{
+    {
 public:                                                
+    RealD   Tolerance;
+    Integer MaxIterations;
+    Integer IterationsToComplete; //Number of iterations the CG took to finish. Filled in upon completion
+    int verbose;
+    MultiShiftFunction shifts;
 
-  using OperatorFunction<Field>::operator();
+    ConjugateGradientMultiShift(Integer maxit,MultiShiftFunction &_shifts) : 
+	MaxIterations(maxit),
+	shifts(_shifts)
+    { 
+      verbose=1;
+    }
 
-  //  RealD   Tolerance;
+void operator() (LinearOperatorBase<Field> &Linop, const Field &src, Field &psi)
-  Integer MaxIterations;
+{
-  Integer IterationsToComplete; //Number of iterations the CG took to finish. Filled in upon completion
+  GridBase *grid = src._grid;
-  std::vector<int> IterationsToCompleteShift;  // Iterations for this shift
+  int nshift = shifts.order;
-  int verbose;
+  std::vector<Field> results(nshift,grid);
-  MultiShiftFunction shifts;
+  (*this)(Linop,src,results,psi);
-  std::vector<RealD> TrueResidualShift;
+}
+void operator() (LinearOperatorBase<Field> &Linop, const Field &src, std::vector<Field> &results, Field &psi)
+{
+  int nshift = shifts.order;
 
-  ConjugateGradientMultiShift(Integer maxit, const MultiShiftFunction &_shifts) : 
+  (*this)(Linop,src,results);
-    MaxIterations(maxit),
+  
-    shifts(_shifts)
+  psi = shifts.norm*src;
-  { 
+  for(int i=0;i<nshift;i++){
-    verbose=1;
+    psi = psi + shifts.residues[i]*results[i];
-    IterationsToCompleteShift.resize(_shifts.order);
-    TrueResidualShift.resize(_shifts.order);
   }
 
-  void operator() (LinearOperatorBase<Field> &Linop, const Field &src, Field &psi)
+  return;
-  {
+}
-    GridBase *grid = src.Grid();
-    int nshift = shifts.order;
-    std::vector<Field> results(nshift,grid);
-    (*this)(Linop,src,results,psi);
-  }
-  void operator() (LinearOperatorBase<Field> &Linop, const Field &src, std::vector<Field> &results, Field &psi)
-  {
-    int nshift = shifts.order;
 
-    (*this)(Linop,src,results);
+void operator() (LinearOperatorBase<Field> &Linop, const Field &src, std::vector<Field> &psi)
+{
   
-    psi = shifts.norm*src;
+  GridBase *grid = src._grid;
-    for(int i=0;i<nshift;i++){
-      psi = psi + shifts.residues[i]*results[i];
-    }
   
-    return;
+  ////////////////////////////////////////////////////////////////////////
+  // Convenience references to the info stored in "MultiShiftFunction"
+  ////////////////////////////////////////////////////////////////////////
+  int nshift = shifts.order;
+
+  std::vector<RealD> &mass(shifts.poles); // Make references to array in "shifts"
+  std::vector<RealD> &mresidual(shifts.tolerances);
+  std::vector<RealD> alpha(nshift,1.0);
+  std::vector<Field>   ps(nshift,grid);// Search directions
+
+  assert(psi.size()==nshift);
+  assert(mass.size()==nshift);
+  assert(mresidual.size()==nshift);
+  
+  // dynamic sized arrays on stack; 2d is a pain with vector
+  RealD  bs[nshift];
+  RealD  rsq[nshift];
+  RealD  z[nshift][2];
+  int     converged[nshift];
+  
+  const int       primary =0;
+  
+  //Primary shift fields CG iteration
+  RealD a,b,c,d;
+  RealD cp,bp,qq; //prev
+  
+  // Matrix mult fields
+  Field r(grid);
+  Field p(grid);
+  Field tmp(grid);
+  Field mmp(grid);
+  
+  // Check lightest mass
+  for(int s=0;s<nshift;s++){
+    assert( mass[s]>= mass[primary] );
+    converged[s]=0;
   }
   
-  void operator() (LinearOperatorBase<Field> &Linop, const Field &src, std::vector<Field> &psi)
+  // Wire guess to zero
-  {
+  // Residuals "r" are src
-    GRID_TRACE("ConjugateGradientMultiShift");
+  // First search direction "p" is also src
+  cp = norm2(src);
+  for(int s=0;s<nshift;s++){
+    rsq[s] = cp * mresidual[s] * mresidual[s];
+    std::cout<<GridLogMessage<<"ConjugateGradientMultiShift: shift "<<s
+	     <<" target resid "<<rsq[s]<<std::endl;
+    ps[s] = src;
+  }
+  // r and p for primary
+  r=src;
+  p=src;
   
-    GridBase *grid = src.Grid();
+  //MdagM+m[0]
+  Linop.HermOpAndNorm(p,mmp,d,qq);
+  axpy(mmp,mass[0],p,mmp);
+  RealD rn = norm2(p);
+  d += rn*mass[0];
   
-    ////////////////////////////////////////////////////////////////////////
+  // have verified that inner product of 
-    // Convenience references to the info stored in "MultiShiftFunction"
+  // p and mmp is equal to d after this since
-    ////////////////////////////////////////////////////////////////////////
+  // the d computation is tricky
-    int nshift = shifts.order;
+  //  qq = real(innerProduct(p,mmp));
+  //  std::cout<<GridLogMessage << "debug equal ?  qq "<<qq<<" d "<< d<<std::endl;
   
-    std::vector<RealD> &mass(shifts.poles); // Make references to array in "shifts"
+  b = -cp /d;
-    std::vector<RealD> &mresidual(shifts.tolerances);
-    std::vector<RealD> alpha(nshift,1.0);
-    std::vector<Field>   ps(nshift,grid);// Search directions
   
-    GRID_ASSERT(psi.size()==nshift);
+  // Set up the various shift variables
-    GRID_ASSERT(mass.size()==nshift);
+  int       iz=0;
-    GRID_ASSERT(mresidual.size()==nshift);
+  z[0][1-iz] = 1.0;
+  z[0][iz]   = 1.0;
+  bs[0]      = b;
+  for(int s=1;s<nshift;s++){
+    z[s][1-iz] = 1.0;
+    z[s][iz]   = 1.0/( 1.0 - b*(mass[s]-mass[0]));
+    bs[s]      = b*z[s][iz]; 
+  }
   
-    // remove dynamic sized arrays on stack; 2d is a pain with vector
+  // r += b[0] A.p[0]
-    std::vector<RealD>  bs(nshift);
+  // c= norm(r)
-    std::vector<RealD>  rsq(nshift);
+  c=axpy_norm(r,b,mmp,r);
-    std::vector<std::array<RealD,2> >  z(nshift);
-    std::vector<int>     converged(nshift);
-  
-    const int       primary =0;
-  
-    //Primary shift fields CG iteration
-    RealD a,b,c,d;
-    RealD cp,bp,qq; //prev
-  
-    // Matrix mult fields
-    Field r(grid);
-    Field p(grid);
-    Field tmp(grid);
-    Field mmp(grid);
-  
-    // Check lightest mass
-    for(int s=0;s<nshift;s++){
-      GRID_ASSERT( mass[s]>= mass[primary] );
-      converged[s]=0;
-    }
-  
-    // Wire guess to zero
-    // Residuals "r" are src
-    // First search direction "p" is also src
-    cp = norm2(src);
-
-    // Handle trivial case of zero src.
-    if( cp == 0. ){
-      for(int s=0;s<nshift;s++){
-	psi[s] = Zero();
-	IterationsToCompleteShift[s] = 1;
-	TrueResidualShift[s] = 0.;
-      }
-      return;
-    }
-
-    for(int s=0;s<nshift;s++){
-      rsq[s] = cp * mresidual[s] * mresidual[s];
-      std::cout<<GridLogMessage<<"ConjugateGradientMultiShift: shift "<<s
-	       <<" target resid^2 "<<rsq[s]<<std::endl;
-      ps[s] = src;
-    }
-    // r and p for primary
-    r=src;
-    p=src;
-  
-    //MdagM+m[0]
-    Linop.HermOpAndNorm(p,mmp,d,qq);
-    axpy(mmp,mass[0],p,mmp);
-    RealD rn = norm2(p);
-    d += rn*mass[0];
-  
-    // have verified that inner product of 
-    // p and mmp is equal to d after this since
-    // the d computation is tricky
-    //  qq = real(innerProduct(p,mmp));
-    //  std::cout<<GridLogMessage << "debug equal ?  qq "<<qq<<" d "<< d<<std::endl;
-  
-    b = -cp /d;
-  
-    // Set up the various shift variables
-    int       iz=0;
-    z[0][1-iz] = 1.0;
-    z[0][iz]   = 1.0;
-    bs[0]      = b;
-    for(int s=1;s<nshift;s++){
-      z[s][1-iz] = 1.0;
-      z[s][iz]   = 1.0/( 1.0 - b*(mass[s]-mass[0]));
-      bs[s]      = b*z[s][iz]; 
-    }
-  
-    // r += b[0] A.p[0]
-    // c= norm(r)
-    c=axpy_norm(r,b,mmp,r);
-  
-    for(int s=0;s<nshift;s++) {
-      axpby(psi[s],0.,-bs[s]*alpha[s],src,src);
-    }
-
-    std::cout << GridLogIterative << "ConjugateGradientMultiShift: initial rn (|src|^2) =" << rn << " qq (|MdagM src|^2) =" << qq << " d ( dot(src, [MdagM + m_0]src) ) =" << d << " c=" << c << std::endl;
   
+  for(int s=0;s<nshift;s++) {
+    axpby(psi[s],0.,-bs[s]*alpha[s],src,src);
+  }
  
   ///////////////////////////////////////
   // Timers
@@ -197,37 +175,37 @@ public:
   GridStopWatch SolverTimer;
   SolverTimer.Start();
   
-    // Iteration loop
+  // Iteration loop
-    int k;
+  int k;
   
-    for (k=1;k<=MaxIterations;k++){
+  for (k=1;k<=MaxIterations;k++){
     
-      a = c /cp;
+    a = c /cp;
     AXPYTimer.Start();
-      axpy(p,a,p,r);
+    axpy(p,a,p,r);
     AXPYTimer.Stop();
     
-      // Note to self - direction ps is iterated seperately
+    // Note to self - direction ps is iterated seperately
-      // for each shift. Does not appear to have any scope
+    // for each shift. Does not appear to have any scope
-      // for avoiding linear algebra in "single" case.
+    // for avoiding linear algebra in "single" case.
-      // 
+    // 
-      // However SAME r is used. Could load "r" and update
+    // However SAME r is used. Could load "r" and update
-      // ALL ps[s]. 2/3 Bandwidth saving
+    // ALL ps[s]. 2/3 Bandwidth saving
-      // New Kernel: Load r, vector of coeffs, vector of pointers ps
+    // New Kernel: Load r, vector of coeffs, vector of pointers ps
     AXPYTimer.Start();
-      for(int s=0;s<nshift;s++){
+    for(int s=0;s<nshift;s++){
-	if ( ! converged[s] ) { 
+      if ( ! converged[s] ) { 
-	  if (s==0){
+	if (s==0){
-	    axpy(ps[s],a,ps[s],r);
+	  axpy(ps[s],a,ps[s],r);
-	  } else{
+	} else{
-	    RealD as =a *z[s][iz]*bs[s] /(z[s][1-iz]*b);
+	  RealD as =a *z[s][iz]*bs[s] /(z[s][1-iz]*b);
-	    axpby(ps[s],z[s][iz],as,r,ps[s]);
+	  axpby(ps[s],z[s][iz],as,r,ps[s]);
-	  }
 	}
       }
+    }
     AXPYTimer.Stop();
     
-      cp=c;
+    cp=c;
     MatrixTimer.Start();  
     //Linop.HermOpAndNorm(p,mmp,d,qq); // d is used
     // The below is faster on KNL
@@ -237,110 +215,108 @@ public:
     MatrixTimer.Stop();  
 
     AXPYTimer.Start();
-      axpy(mmp,mass[0],p,mmp);
+    axpy(mmp,mass[0],p,mmp);
     AXPYTimer.Stop();
-      RealD rn = norm2(p);
+    RealD rn = norm2(p);
-      d += rn*mass[0];
+    d += rn*mass[0];
     
-      bp=b;
+    bp=b;
-      b=-cp/d;
+    b=-cp/d;
     
     AXPYTimer.Start();
-      c=axpy_norm(r,b,mmp,r);
+    c=axpy_norm(r,b,mmp,r);
     AXPYTimer.Stop();
 
-      // Toggle the recurrence history
+    // Toggle the recurrence history
-      bs[0] = b;
+    bs[0] = b;
-      iz = 1-iz;
+    iz = 1-iz;
     ShiftTimer.Start();
-      for(int s=1;s<nshift;s++){
+    for(int s=1;s<nshift;s++){
-	if((!converged[s])){
+      if((!converged[s])){
-	  RealD z0 = z[s][1-iz];
+	RealD z0 = z[s][1-iz];
-	  RealD z1 = z[s][iz];
+	RealD z1 = z[s][iz];
-	  z[s][iz] = z0*z1*bp
+	z[s][iz] = z0*z1*bp
-	    / (b*a*(z1-z0) + z1*bp*(1- (mass[s]-mass[0])*b)); 
+	  / (b*a*(z1-z0) + z1*bp*(1- (mass[s]-mass[0])*b)); 
-	  bs[s] = b*z[s][iz]/z0; // NB sign  rel to Mike
+	bs[s] = b*z[s][iz]/z0; // NB sign  rel to Mike
-	}
       }
+    }
     ShiftTimer.Stop();
     
-      for(int s=0;s<nshift;s++){
+    for(int s=0;s<nshift;s++){
-	int ss = s;
+      int ss = s;
-	// Scope for optimisation here in case of "single".
+      // Scope for optimisation here in case of "single".
-	// Could load psi[0] and pull all ps[s] in.
+      // Could load psi[0] and pull all ps[s] in.
-	//      if ( single ) ss=primary;
+      //      if ( single ) ss=primary;
-	// Bandwith saving in single case is Ls * 3 -> 2+Ls, so ~ 3x saving
+      // Bandwith saving in single case is Ls * 3 -> 2+Ls, so ~ 3x saving
-	// Pipelined CG gain:
+      // Pipelined CG gain:
-	//
+      //
-	// New Kernel: Load r, vector of coeffs, vector of pointers ps
+      // New Kernel: Load r, vector of coeffs, vector of pointers ps
-	// New Kernel: Load psi[0], vector of coeffs, vector of pointers ps
+      // New Kernel: Load psi[0], vector of coeffs, vector of pointers ps
-	// If can predict the coefficient bs then we can fuse these and avoid write reread cyce
+      // If can predict the coefficient bs then we can fuse these and avoid write reread cyce
-	//  on ps[s].
+      //  on ps[s].
-	// Before:  3 x npole  + 3 x npole
+      // Before:  3 x npole  + 3 x npole
-	// After :  2 x npole (ps[s])        => 3x speed up of multishift CG.
+      // After :  2 x npole (ps[s])        => 3x speed up of multishift CG.
       
-	if( (!converged[s]) ) { 
+      if( (!converged[s]) ) { 
-	  axpy(psi[ss],-bs[s]*alpha[s],ps[s],psi[ss]);
+	axpy(psi[ss],-bs[s]*alpha[s],ps[s],psi[ss]);
-	}
       }
+    }
     
-      // Convergence checks
+    // Convergence checks
-      int all_converged = 1;
+    int all_converged = 1;
-      for(int s=0;s<nshift;s++){
+    for(int s=0;s<nshift;s++){
       
-	if ( (!converged[s]) ){
+      if ( (!converged[s]) ){
-	  IterationsToCompleteShift[s] = k;
 	
-	  RealD css  = c * z[s][iz]* z[s][iz];
+	RealD css  = c * z[s][iz]* z[s][iz];
-	
-	  if(css<rsq[s]){
-	    if ( ! converged[s] )
-	      std::cout<<GridLogMessage<<"ConjugateGradientMultiShift k="<<k<<" Shift "<<s<<" has converged"<<std::endl;
-	    converged[s]=1;
-	  } else {
-	    all_converged=0;
-	  }
 	
+	if(css<rsq[s]){
+	  if ( ! converged[s] )
+	    std::cout<<GridLogMessage<<"ConjugateGradientMultiShift k="<<k<<" Shift "<<s<<" has converged"<<std::endl;
+	      converged[s]=1;
+	} else {
+	  all_converged=0;
 	}
-      }
 
-      if ( all_converged ){
+      }
+    }
+    
+    if ( all_converged ){
 
     SolverTimer.Stop();
 
 
-	std::cout<<GridLogMessage<< "CGMultiShift: All shifts have converged iteration "<<k<<std::endl;
+      std::cout<<GridLogMessage<< "CGMultiShift: All shifts have converged iteration "<<k<<std::endl;
-	std::cout<<GridLogMessage<< "CGMultiShift: Checking solutions"<<std::endl;
+      std::cout<<GridLogMessage<< "CGMultiShift: Checking solutions"<<std::endl;
       
-	// Check answers 
+      // Check answers 
-	for(int s=0; s < nshift; s++) { 
+      for(int s=0; s < nshift; s++) { 
-	  Linop.HermOpAndNorm(psi[s],mmp,d,qq);
+	Linop.HermOpAndNorm(psi[s],mmp,d,qq);
-	  axpy(tmp,mass[s],psi[s],mmp);
+	axpy(tmp,mass[s],psi[s],mmp);
-	  axpy(r,-alpha[s],src,tmp);
+	axpy(r,-alpha[s],src,tmp);
-	  RealD rn = norm2(r);
+	RealD rn = norm2(r);
-	  RealD cn = norm2(src);
+	RealD cn = norm2(src);
-	  TrueResidualShift[s] = std::sqrt(rn/cn);
+	std::cout<<GridLogMessage<<"CGMultiShift: shift["<<s<<"] true residual "<<std::sqrt(rn/cn)<<std::endl;
-	  std::cout<<GridLogMessage<<"CGMultiShift: shift["<<s<<"] true residual "<< TrueResidualShift[s] <<std::endl;
+      }
-	}
 
       std::cout << GridLogMessage << "Time Breakdown "<<std::endl;
       std::cout << GridLogMessage << "\tElapsed    " << SolverTimer.Elapsed()     <<std::endl;
-      std::cout << GridLogMessage << "\tAXPY     " << AXPYTimer.Elapsed()     <<std::endl;
+      std::cout << GridLogMessage << "\tAXPY    " << AXPYTimer.Elapsed()     <<std::endl;
-      std::cout << GridLogMessage << "\tMatrix   " << MatrixTimer.Elapsed()     <<std::endl;
+      std::cout << GridLogMessage << "\tMarix    " << MatrixTimer.Elapsed()     <<std::endl;
       std::cout << GridLogMessage << "\tShift    " << ShiftTimer.Elapsed()     <<std::endl;
 
       IterationsToComplete = k;	
 
-	return;
+      return;
-      }
-
-   
     }
-    // ugly hack
-    std::cout<<GridLogMessage<<"CG multi shift did not converge"<<std::endl;
-    //  GRID_ASSERT(0);
-  }
 
-};
+   
-NAMESPACE_END(Grid);
+  }
+  // ugly hack
+  std::cout<<GridLogMessage<<"CG multi shift did not converge"<<std::endl;
+//  assert(0);
+}
+
+  };
+}
 #endif

Grid/algorithms/iterative/ConjugateGradientMultiShiftCleanup.h

@@ -1,373 +0,0 @@
-/*************************************************************************************
-
-    Grid physics library, www.github.com/paboyle/Grid 
-
-    Source file: ./lib/algorithms/iterative/ConjugateGradientMultiShift.h
-
-    Copyright (C) 2015
-
-Author: Azusa Yamaguchi <ayamaguc@staffmail.ed.ac.uk>
-Author: Peter Boyle <paboyle@ph.ed.ac.uk>
-Author: Christopher Kelly <ckelly@bnl.gov>
-
-    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 */
-#pragma once
-
-NAMESPACE_BEGIN(Grid);
-
-//CK 2020: A variant of the multi-shift conjugate gradient with the matrix multiplication in single precision. 
-//The residual is stored in single precision, but the search directions and solution are stored in double precision. 
-//Every update_freq iterations the residual is corrected in double precision. 
-//For safety the a final regular CG is applied to clean up if necessary
-
-//PB Pure single, then double fixup
-
-template<class FieldD, class FieldF,
-	 typename std::enable_if< getPrecision<FieldD>::value == 2, int>::type = 0,
-	 typename std::enable_if< getPrecision<FieldF>::value == 1, int>::type = 0> 
-class ConjugateGradientMultiShiftMixedPrecCleanup : public OperatorMultiFunction<FieldD>,
-					     public OperatorFunction<FieldD>
-{
-public:                                                
-
-  using OperatorFunction<FieldD>::operator();
-
-  RealD   Tolerance;
-  Integer MaxIterationsMshift;
-  Integer MaxIterations;
-  Integer IterationsToComplete; //Number of iterations the CG took to finish. Filled in upon completion
-  std::vector<int> IterationsToCompleteShift;  // Iterations for this shift
-  int verbose;
-  MultiShiftFunction shifts;
-  std::vector<RealD> TrueResidualShift;
-
-  int ReliableUpdateFreq; //number of iterations between reliable updates
-
-  GridBase* SinglePrecGrid; //Grid for single-precision fields
-  LinearOperatorBase<FieldF> &Linop_f; //single precision
-
-  ConjugateGradientMultiShiftMixedPrecCleanup(Integer maxit, const MultiShiftFunction &_shifts,
-				       GridBase* _SinglePrecGrid, LinearOperatorBase<FieldF> &_Linop_f,
-				       int _ReliableUpdateFreq) : 
-    MaxIterationsMshift(maxit),  shifts(_shifts), SinglePrecGrid(_SinglePrecGrid), Linop_f(_Linop_f), ReliableUpdateFreq(_ReliableUpdateFreq),
-    MaxIterations(20000)
-  { 
-    verbose=1;
-    IterationsToCompleteShift.resize(_shifts.order);
-    TrueResidualShift.resize(_shifts.order);
-  }
-
-  void operator() (LinearOperatorBase<FieldD> &Linop, const FieldD &src, FieldD &psi)
-  {
-    GridBase *grid = src.Grid();
-    int nshift = shifts.order;
-    std::vector<FieldD> results(nshift,grid);
-    (*this)(Linop,src,results,psi);
-  }
-  void operator() (LinearOperatorBase<FieldD> &Linop, const FieldD &src, std::vector<FieldD> &results, FieldD &psi)
-  {
-    int nshift = shifts.order;
-
-    (*this)(Linop,src,results);
-  
-    psi = shifts.norm*src;
-    for(int i=0;i<nshift;i++){
-      psi = psi + shifts.residues[i]*results[i];
-    }
-
-    return;
-  }
-
-  void operator() (LinearOperatorBase<FieldD> &Linop_d, const FieldD &src_d, std::vector<FieldD> &psi_d)
-  { 
-    GRID_TRACE("ConjugateGradientMultiShiftMixedPrecCleanup");
-    GridBase *DoublePrecGrid = src_d.Grid();
-
-    ////////////////////////////////////////////////////////////////////////
-    // Convenience references to the info stored in "MultiShiftFunction"
-    ////////////////////////////////////////////////////////////////////////
-    int nshift = shifts.order;
-
-    std::vector<RealD> &mass(shifts.poles); // Make references to array in "shifts"
-    std::vector<RealD> &mresidual(shifts.tolerances);
-    std::vector<RealD> alpha(nshift,1.0);
-
-    //Double precision search directions
-    FieldD p_d(DoublePrecGrid);
-    std::vector<FieldF> ps_f (nshift, SinglePrecGrid);// Search directions (single precision)
-    std::vector<FieldF> psi_f(nshift, SinglePrecGrid);// solutions (single precision)
-
-    FieldD tmp_d(DoublePrecGrid);
-    FieldD r_d(DoublePrecGrid);
-    FieldF r_f(SinglePrecGrid);
-    FieldD mmp_d(DoublePrecGrid);
-
-    GRID_ASSERT(psi_d.size()==nshift);
-    GRID_ASSERT(mass.size()==nshift);
-    GRID_ASSERT(mresidual.size()==nshift);
-  
-    // dynamic sized arrays on stack; 2d is a pain with vector
-    std::vector<RealD>  bs(nshift);
-    std::vector<RealD>  rsq(nshift);
-    std::vector<RealD>  rsqf(nshift);
-    std::vector<std::array<RealD,2> >  z(nshift);
-    std::vector<int>     converged(nshift);
-  
-    const int       primary =0;
-  
-    //Primary shift fields CG iteration
-    RealD a,b,c,d;
-    RealD cp,bp,qq; //prev
-  
-    // Matrix mult fields
-    FieldF p_f(SinglePrecGrid);
-    FieldF mmp_f(SinglePrecGrid);
-
-    // Check lightest mass
-    for(int s=0;s<nshift;s++){
-      GRID_ASSERT( mass[s]>= mass[primary] );
-      converged[s]=0;
-    }
-  
-    // Wire guess to zero
-    // Residuals "r" are src
-    // First search direction "p" is also src
-    cp = norm2(src_d);
-
-    // Handle trivial case of zero src.
-    if( cp == 0. ){
-      for(int s=0;s<nshift;s++){
-	psi_d[s] = Zero();
-	psi_f[s] = Zero();
-	IterationsToCompleteShift[s] = 1;
-	TrueResidualShift[s] = 0.;
-      }
-      return;
-    }
-
-    for(int s=0;s<nshift;s++){
-      rsq[s] = cp * mresidual[s] * mresidual[s];
-      rsqf[s] =rsq[s];
-      std::cout<<GridLogMessage<<"ConjugateGradientMultiShiftMixedPrecCleanup: shift "<< s <<" target resid "<<rsq[s]<<std::endl;
-      //      ps_d[s] = src_d;
-      precisionChange(ps_f[s],src_d);
-    }
-    // r and p for primary
-    p_d = src_d; //primary copy --- make this a reference to ps_d to save axpys
-    r_d = p_d;
-    
-    //MdagM+m[0]
-    precisionChange(p_f,p_d);
-    Linop_f.HermOpAndNorm(p_f,mmp_f,d,qq); // mmp = MdagM p        d=real(dot(p, mmp)),  qq=norm2(mmp)
-    precisionChange(tmp_d,mmp_f);
-    Linop_d.HermOpAndNorm(p_d,mmp_d,d,qq); // mmp = MdagM p        d=real(dot(p, mmp)),  qq=norm2(mmp)
-    tmp_d = tmp_d - mmp_d;
-    std::cout << " Testing operators match "<<norm2(mmp_d)<<" f "<<norm2(mmp_f)<<" diff "<< norm2(tmp_d)<<std::endl;
-    //    GRID_ASSERT(norm2(tmp_d)< 1.0e-4);
-
-    axpy(mmp_d,mass[0],p_d,mmp_d);
-    RealD rn = norm2(p_d);
-    d += rn*mass[0];
-
-    b = -cp /d;
-  
-    // Set up the various shift variables
-    int       iz=0;
-    z[0][1-iz] = 1.0;
-    z[0][iz]   = 1.0;
-    bs[0]      = b;
-    for(int s=1;s<nshift;s++){
-      z[s][1-iz] = 1.0;
-      z[s][iz]   = 1.0/( 1.0 - b*(mass[s]-mass[0]));
-      bs[s]      = b*z[s][iz]; 
-    }
-  
-    // r += b[0] A.p[0]
-    // c= norm(r)
-    c=axpy_norm(r_d,b,mmp_d,r_d);
-  
-    for(int s=0;s<nshift;s++) {
-      axpby(psi_d[s],0.,-bs[s]*alpha[s],src_d,src_d);
-      precisionChange(psi_f[s],psi_d[s]);
-    }
-  
-    ///////////////////////////////////////
-    // Timers
-    ///////////////////////////////////////
-    GridStopWatch AXPYTimer, ShiftTimer, QRTimer, MatrixTimer, SolverTimer, PrecChangeTimer, CleanupTimer;
-
-    SolverTimer.Start();
-  
-    // Iteration loop
-    int k;
-  
-    for (k=1;k<=MaxIterationsMshift;k++){    
-
-      a = c /cp;
-      AXPYTimer.Start();
-      axpy(p_d,a,p_d,r_d); 
-      AXPYTimer.Stop();
-
-      PrecChangeTimer.Start();
-      precisionChange(r_f, r_d);
-      PrecChangeTimer.Stop();
-
-      AXPYTimer.Start();
-      for(int s=0;s<nshift;s++){
-	if ( ! converged[s] ) { 
-	  if (s==0){
-	    axpy(ps_f[s],a,ps_f[s],r_f);
-	  } else{
-	    RealD as =a *z[s][iz]*bs[s] /(z[s][1-iz]*b);
-	    axpby(ps_f[s],z[s][iz],as,r_f,ps_f[s]);
-	  }
-	}
-      }
-      AXPYTimer.Stop();
-
-      cp=c;
-      PrecChangeTimer.Start();
-      precisionChange(p_f, p_d); //get back single prec search direction for linop
-      PrecChangeTimer.Stop();
-      MatrixTimer.Start();  
-      Linop_f.HermOp(p_f,mmp_f);
-      MatrixTimer.Stop();  
-      PrecChangeTimer.Start();
-      precisionChange(mmp_d, mmp_f); // From Float to Double
-      PrecChangeTimer.Stop();
-
-      d=real(innerProduct(p_d,mmp_d));    
-      axpy(mmp_d,mass[0],p_d,mmp_d);
-      RealD rn = norm2(p_d);
-      d += rn*mass[0];
-    
-      bp=b;
-      b=-cp/d;
-
-      // Toggle the recurrence history
-      bs[0] = b;
-      iz = 1-iz;
-      ShiftTimer.Start();
-      for(int s=1;s<nshift;s++){
-	if((!converged[s])){
-	  RealD z0 = z[s][1-iz];
-	  RealD z1 = z[s][iz];
-	  z[s][iz] = z0*z1*bp
-	    / (b*a*(z1-z0) + z1*bp*(1- (mass[s]-mass[0])*b)); 
-	  bs[s] = b*z[s][iz]/z0; // NB sign  rel to Mike
-	}
-      }
-      ShiftTimer.Stop();
-
-      //Update single precision solutions
-      AXPYTimer.Start();
-      for(int s=0;s<nshift;s++){
-	int ss = s;
-	if( (!converged[s]) ) { 
-	  axpy(psi_f[ss],-bs[s]*alpha[s],ps_f[s],psi_f[ss]);
-	}
-      }
-      c = axpy_norm(r_d,b,mmp_d,r_d);
-      AXPYTimer.Stop();
-    
-      // Convergence checks
-      int all_converged = 1;
-      for(int s=0;s<nshift;s++){
-      
-	if ( (!converged[s]) ){
-	  IterationsToCompleteShift[s] = k;
-	
-	  RealD css  = c * z[s][iz]* z[s][iz];
-	
-	  if(css<rsqf[s]){
-	    if ( ! converged[s] )
-	      std::cout<<GridLogMessage<<"ConjugateGradientMultiShiftMixedPrecCleanup k="<<k<<" Shift "<<s<<" has converged"<<std::endl;
-	    converged[s]=1;
-	  } else {
-	    all_converged=0;
-	  }
-
-	}
-      }
-
-      if ( all_converged || k == MaxIterationsMshift-1){
-
-	SolverTimer.Stop();
-
-	for(int s=0;s<nshift;s++){
-	  precisionChange(psi_d[s],psi_f[s]);
-	}
-
-	
-	if ( all_converged ){
-	  std::cout<<GridLogMessage<< "ConjugateGradientMultiShiftMixedPrecCleanup: All shifts have converged iteration "<<k<<std::endl;
-	  std::cout<<GridLogMessage<< "ConjugateGradientMultiShiftMixedPrecCleanup: Checking solutions"<<std::endl;
-	} else {
-	  std::cout<<GridLogMessage<< "ConjugateGradientMultiShiftMixedPrecCleanup: Not all shifts have converged iteration "<<k<<std::endl;
-	}
-	
-	// Check answers 
-	for(int s=0; s < nshift; s++) { 
-	  Linop_d.HermOpAndNorm(psi_d[s],mmp_d,d,qq);
-	  axpy(tmp_d,mass[s],psi_d[s],mmp_d);
-	  axpy(r_d,-alpha[s],src_d,tmp_d);
-	  RealD rn = norm2(r_d);
-	  RealD cn = norm2(src_d);
-	  TrueResidualShift[s] = std::sqrt(rn/cn);
-	  std::cout<<GridLogMessage<<"ConjugateGradientMultiShiftMixedPrecCleanup: shift["<<s<<"] true residual "<< TrueResidualShift[s] << " target " << mresidual[s] << std::endl;
-
-	  //If we have not reached the desired tolerance, do a (mixed precision) CG cleanup
-	  if(rn >= rsq[s]){
-	    CleanupTimer.Start();
-	    std::cout<<GridLogMessage<<"ConjugateGradientMultiShiftMixedPrecCleanup: performing cleanup step for shift " << s << std::endl;
-
-	    //Setup linear operators for final cleanup
-	    ConjugateGradientMultiShiftMixedPrecSupport::ShiftedLinop<FieldD> Linop_shift_d(Linop_d, mass[s]);
-	    ConjugateGradientMultiShiftMixedPrecSupport::ShiftedLinop<FieldF> Linop_shift_f(Linop_f, mass[s]);
-					       
-	    MixedPrecisionConjugateGradient<FieldD,FieldF> cg(mresidual[s], MaxIterations, MaxIterations, SinglePrecGrid, Linop_shift_f, Linop_shift_d); 
-	    cg(src_d, psi_d[s]);
-	    
-	    TrueResidualShift[s] = cg.TrueResidual;
-	    CleanupTimer.Stop();
-	  }
-	}
-
-	std::cout << GridLogMessage << "ConjugateGradientMultiShiftMixedPrecCleanup: Time Breakdown for body"<<std::endl;
-	std::cout << GridLogMessage << "\tSolver    " << SolverTimer.Elapsed()     <<std::endl;
-	std::cout << GridLogMessage << "\t\tAXPY    " << AXPYTimer.Elapsed()     <<std::endl;
-	std::cout << GridLogMessage << "\t\tMatrix    " << MatrixTimer.Elapsed()     <<std::endl;
-	std::cout << GridLogMessage << "\t\tShift    " << ShiftTimer.Elapsed()     <<std::endl;
-	std::cout << GridLogMessage << "\t\tPrecision Change " << PrecChangeTimer.Elapsed()     <<std::endl;
-	std::cout << GridLogMessage << "\tFinal Cleanup " << CleanupTimer.Elapsed()     <<std::endl;
-	std::cout << GridLogMessage << "\tSolver+Cleanup " << SolverTimer.Elapsed() + CleanupTimer.Elapsed() << std::endl;
-
-	IterationsToComplete = k;	
-
-	return;
-      }
-   
-    }
-    std::cout<<GridLogMessage<<"CG multi shift did not converge"<<std::endl;
-    GRID_ASSERT(0);
-  }
-
-};
-NAMESPACE_END(Grid);
-

Grid/algorithms/iterative/ConjugateGradientMultiShiftMixedPrec.h

@@ -1,416 +0,0 @@
-/*************************************************************************************
-
-    Grid physics library, www.github.com/paboyle/Grid 
-
-    Source file: ./lib/algorithms/iterative/ConjugateGradientMultiShift.h
-
-    Copyright (C) 2015
-
-Author: Azusa Yamaguchi <ayamaguc@staffmail.ed.ac.uk>
-Author: Peter Boyle <paboyle@ph.ed.ac.uk>
-Author: Christopher Kelly <ckelly@bnl.gov>
-
-    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 GRID_CONJUGATE_GRADIENT_MULTI_SHIFT_MIXEDPREC_H
-#define GRID_CONJUGATE_GRADIENT_MULTI_SHIFT_MIXEDPREC_H
-
-NAMESPACE_BEGIN(Grid);
-
-//CK 2020: A variant of the multi-shift conjugate gradient with the matrix multiplication in single precision. 
-//The residual is stored in single precision, but the search directions and solution are stored in double precision. 
-//Every update_freq iterations the residual is corrected in double precision. 
-    
-//For safety the a final regular CG is applied to clean up if necessary
-
-//Linop to add shift to input linop, used in cleanup CG
-namespace ConjugateGradientMultiShiftMixedPrecSupport{
-template<typename Field>
-class ShiftedLinop: public LinearOperatorBase<Field>{
-public:
-  LinearOperatorBase<Field> &linop_base;
-  RealD shift;
-
-  ShiftedLinop(LinearOperatorBase<Field> &_linop_base, RealD _shift): linop_base(_linop_base), shift(_shift){}
-
-  void OpDiag (const Field &in, Field &out){ GRID_ASSERT(0); }
-  void OpDir  (const Field &in, Field &out,int dir,int disp){ GRID_ASSERT(0); }
-  void OpDirAll  (const Field &in, std::vector<Field> &out){ GRID_ASSERT(0); }
-  
-  void Op     (const Field &in, Field &out){ GRID_ASSERT(0); }
-  void AdjOp  (const Field &in, Field &out){ GRID_ASSERT(0); }
-
-  void HermOp(const Field &in, Field &out){
-    linop_base.HermOp(in, out);
-    axpy(out, shift, in, out);
-  }    
-
-  void HermOpAndNorm(const Field &in, Field &out,RealD &n1,RealD &n2){
-    HermOp(in,out);
-    ComplexD dot = innerProduct(in,out);
-    n1=real(dot);
-    n2=norm2(out);
-  }
-};
-};
-
-
-template<class FieldD, class FieldF,
-	 typename std::enable_if< getPrecision<FieldD>::value == 2, int>::type = 0,
-	 typename std::enable_if< getPrecision<FieldF>::value == 1, int>::type = 0> 
-class ConjugateGradientMultiShiftMixedPrec : public OperatorMultiFunction<FieldD>,
-					     public OperatorFunction<FieldD>
-{
-public:                                                
-
-  using OperatorFunction<FieldD>::operator();
-
-  RealD   Tolerance;
-  Integer MaxIterationsMshift;
-  Integer MaxIterations;
-  Integer IterationsToComplete; //Number of iterations the CG took to finish. Filled in upon completion
-  std::vector<int> IterationsToCompleteShift;  // Iterations for this shift
-  int verbose;
-  MultiShiftFunction shifts;
-  std::vector<RealD> TrueResidualShift;
-
-  int ReliableUpdateFreq; //number of iterations between reliable updates
-
-  GridBase* SinglePrecGrid; //Grid for single-precision fields
-  LinearOperatorBase<FieldF> &Linop_f; //single precision
-
-  ConjugateGradientMultiShiftMixedPrec(Integer maxit, const MultiShiftFunction &_shifts,
-				       GridBase* _SinglePrecGrid, LinearOperatorBase<FieldF> &_Linop_f,
-				       int _ReliableUpdateFreq) : 
-    MaxIterationsMshift(maxit),  shifts(_shifts), SinglePrecGrid(_SinglePrecGrid), Linop_f(_Linop_f), ReliableUpdateFreq(_ReliableUpdateFreq),
-    MaxIterations(20000)
-  { 
-    verbose=1;
-    IterationsToCompleteShift.resize(_shifts.order);
-    TrueResidualShift.resize(_shifts.order);
-  }
-
-  void operator() (LinearOperatorBase<FieldD> &Linop, const FieldD &src, FieldD &psi)
-  {
-    GridBase *grid = src.Grid();
-    int nshift = shifts.order;
-    std::vector<FieldD> results(nshift,grid);
-    (*this)(Linop,src,results,psi);
-  }
-  void operator() (LinearOperatorBase<FieldD> &Linop, const FieldD &src, std::vector<FieldD> &results, FieldD &psi)
-  {
-    int nshift = shifts.order;
-
-    (*this)(Linop,src,results);
-  
-    psi = shifts.norm*src;
-    for(int i=0;i<nshift;i++){
-      psi = psi + shifts.residues[i]*results[i];
-    }
-
-    return;
-  }
-
-  void operator() (LinearOperatorBase<FieldD> &Linop_d, const FieldD &src_d, std::vector<FieldD> &psi_d)
-  { 
-    GRID_TRACE("ConjugateGradientMultiShiftMixedPrec");
-    GridBase *DoublePrecGrid = src_d.Grid();
-
-    precisionChangeWorkspace pc_wk_s_to_d(DoublePrecGrid,SinglePrecGrid);
-    precisionChangeWorkspace pc_wk_d_to_s(SinglePrecGrid,DoublePrecGrid);
-    
-    ////////////////////////////////////////////////////////////////////////
-    // Convenience references to the info stored in "MultiShiftFunction"
-    ////////////////////////////////////////////////////////////////////////
-    int nshift = shifts.order;
-
-    std::vector<RealD> &mass(shifts.poles); // Make references to array in "shifts"
-    std::vector<RealD> &mresidual(shifts.tolerances);
-    std::vector<RealD> alpha(nshift,1.0);
-
-    //Double precision search directions
-    FieldD p_d(DoublePrecGrid);
-    std::vector<FieldD> ps_d(nshift, DoublePrecGrid);// Search directions (double precision)
-
-    FieldD tmp_d(DoublePrecGrid);
-    FieldD r_d(DoublePrecGrid);
-    FieldD mmp_d(DoublePrecGrid);
-
-    GRID_ASSERT(psi_d.size()==nshift);
-    GRID_ASSERT(mass.size()==nshift);
-    GRID_ASSERT(mresidual.size()==nshift);
-  
-    // dynamic sized arrays on stack; 2d is a pain with vector
-    std::vector<RealD>  bs(nshift);
-    std::vector<RealD>  rsq(nshift);
-    std::vector<RealD>  rsqf(nshift);
-    std::vector<std::array<RealD,2> >  z(nshift);
-    std::vector<int>     converged(nshift);
-  
-    const int       primary =0;
-  
-    //Primary shift fields CG iteration
-    RealD a,b,c,d;
-    RealD cp,bp,qq; //prev
-  
-    // Matrix mult fields
-    FieldF p_f(SinglePrecGrid);
-    FieldF mmp_f(SinglePrecGrid);
-
-    // Check lightest mass
-    for(int s=0;s<nshift;s++){
-      GRID_ASSERT( mass[s]>= mass[primary] );
-      converged[s]=0;
-    }
-  
-    // Wire guess to zero
-    // Residuals "r" are src
-    // First search direction "p" is also src
-    cp = norm2(src_d);
-
-    // Handle trivial case of zero src.
-    if( cp == 0. ){
-      for(int s=0;s<nshift;s++){
-	psi_d[s] = Zero();
-	IterationsToCompleteShift[s] = 1;
-	TrueResidualShift[s] = 0.;
-      }
-      return;
-    }
-
-    for(int s=0;s<nshift;s++){
-      rsq[s] = cp * mresidual[s] * mresidual[s];
-      rsqf[s] =rsq[s];
-      std::cout<<GridLogMessage<<"ConjugateGradientMultiShiftMixedPrec: shift "<< s <<" target resid "<<rsq[s]<<std::endl;
-      ps_d[s] = src_d;
-    }
-    // r and p for primary
-    p_d = src_d; //primary copy --- make this a reference to ps_d to save axpys
-    r_d = p_d;
-    
-    //MdagM+m[0]
-    precisionChange(p_f, p_d, pc_wk_d_to_s);
-
-    Linop_f.HermOpAndNorm(p_f,mmp_f,d,qq); // mmp = MdagM p        d=real(dot(p, mmp)),  qq=norm2(mmp)
-    precisionChange(tmp_d, mmp_f, pc_wk_s_to_d);
-    Linop_d.HermOpAndNorm(p_d,mmp_d,d,qq); // mmp = MdagM p        d=real(dot(p, mmp)),  qq=norm2(mmp)
-    tmp_d = tmp_d - mmp_d;
-    std::cout << " Testing operators match "<<norm2(mmp_d)<<" f "<<norm2(mmp_f)<<" diff "<< norm2(tmp_d)<<std::endl;
-    GRID_ASSERT(norm2(tmp_d)< 1.0);
-
-    axpy(mmp_d,mass[0],p_d,mmp_d);
-    RealD rn = norm2(p_d);
-    d += rn*mass[0];
-
-    b = -cp /d;
-  
-    // Set up the various shift variables
-    int       iz=0;
-    z[0][1-iz] = 1.0;
-    z[0][iz]   = 1.0;
-    bs[0]      = b;
-    for(int s=1;s<nshift;s++){
-      z[s][1-iz] = 1.0;
-      z[s][iz]   = 1.0/( 1.0 - b*(mass[s]-mass[0]));
-      bs[s]      = b*z[s][iz]; 
-    }
-  
-    // r += b[0] A.p[0]
-    // c= norm(r)
-    c=axpy_norm(r_d,b,mmp_d,r_d);
-  
-    for(int s=0;s<nshift;s++) {
-      axpby(psi_d[s],0.,-bs[s]*alpha[s],src_d,src_d);
-    }
-  
-    ///////////////////////////////////////
-    // Timers
-    ///////////////////////////////////////
-    GridStopWatch AXPYTimer, ShiftTimer, QRTimer, MatrixTimer, SolverTimer, PrecChangeTimer, CleanupTimer;
-
-    SolverTimer.Start();
-  
-    // Iteration loop
-    int k;
-  
-    for (k=1;k<=MaxIterationsMshift;k++){    
-
-      a = c /cp;
-      AXPYTimer.Start();
-      axpy(p_d,a,p_d,r_d); 
-
-      for(int s=0;s<nshift;s++){
-	if ( ! converged[s] ) { 
-	  if (s==0){
-	    axpy(ps_d[s],a,ps_d[s],r_d);
-	  } else{
-	    RealD as =a *z[s][iz]*bs[s] /(z[s][1-iz]*b);
-	    axpby(ps_d[s],z[s][iz],as,r_d,ps_d[s]);
-	  }
-	}
-      }
-      AXPYTimer.Stop();
-
-      PrecChangeTimer.Start();
-      precisionChange(p_f, p_d, pc_wk_d_to_s); //get back single prec search direction for linop
-      PrecChangeTimer.Stop();
-
-      cp=c;
-      MatrixTimer.Start();  
-      Linop_f.HermOp(p_f,mmp_f);
-      MatrixTimer.Stop();  
-
-      PrecChangeTimer.Start();
-      precisionChange(mmp_d, mmp_f, pc_wk_s_to_d); // From Float to Double
-      PrecChangeTimer.Stop();
-
-      AXPYTimer.Start();
-      d=real(innerProduct(p_d,mmp_d));    
-      axpy(mmp_d,mass[0],p_d,mmp_d);
-      AXPYTimer.Stop();
-      RealD rn = norm2(p_d);
-      d += rn*mass[0];
-    
-      bp=b;
-      b=-cp/d;
-
-      // Toggle the recurrence history
-      bs[0] = b;
-      iz = 1-iz;
-      ShiftTimer.Start();
-      for(int s=1;s<nshift;s++){
-	if((!converged[s])){
-	  RealD z0 = z[s][1-iz];
-	  RealD z1 = z[s][iz];
-	  z[s][iz] = z0*z1*bp
-	    / (b*a*(z1-z0) + z1*bp*(1- (mass[s]-mass[0])*b)); 
-	  bs[s] = b*z[s][iz]/z0; // NB sign  rel to Mike
-	}
-      }
-      ShiftTimer.Stop();
-
-      //Update double precision solutions
-      AXPYTimer.Start();
-      for(int s=0;s<nshift;s++){
-	int ss = s;
-	if( (!converged[s]) ) { 
-	  axpy(psi_d[ss],-bs[s]*alpha[s],ps_d[s],psi_d[ss]);
-	}
-      }
-
-      //Perform reliable update if necessary; otherwise update residual from single-prec mmp
-      c = axpy_norm(r_d,b,mmp_d,r_d);
-
-      AXPYTimer.Stop();
-
-      if(k % ReliableUpdateFreq == 0){
-	RealD c_old = c;
-	//Replace r with true residual
-	MatrixTimer.Start();  
-	Linop_d.HermOp(psi_d[0],mmp_d); 
-	MatrixTimer.Stop();  
-
-	AXPYTimer.Start();
-	axpy(mmp_d,mass[0],psi_d[0],mmp_d);
-
-	c = axpy_norm(r_d, -1.0, mmp_d, src_d);
-	AXPYTimer.Stop();
-
-	std::cout<<GridLogMessage<<"ConjugateGradientMultiShiftMixedPrec k="<<k<< ", replaced |r|^2 = "<<c_old <<" with |r|^2 = "<<c<<std::endl;
-      }
-    
-      // Convergence checks
-      int all_converged = 1;
-      for(int s=0;s<nshift;s++){
-      
-	if ( (!converged[s]) ){
-	  IterationsToCompleteShift[s] = k;
-	
-	  RealD css  = c * z[s][iz]* z[s][iz];
-	
-	  if(css<rsqf[s]){
-	    if ( ! converged[s] )
-	      std::cout<<GridLogMessage<<"ConjugateGradientMultiShiftMixedPrec k="<<k<<" Shift "<<s<<" has converged"<<std::endl;
-	    converged[s]=1;
-	  } else {
-	    all_converged=0;
-	  }
-
-	}
-      }
-
-      if ( all_converged || k == MaxIterationsMshift-1){
-
-	SolverTimer.Stop();
-
-	if ( all_converged ){
-	  std::cout<<GridLogMessage<< "ConjugateGradientMultiShiftMixedPrec: All shifts have converged iteration "<<k<<std::endl;
-	  std::cout<<GridLogMessage<< "ConjugateGradientMultiShiftMixedPrec: Checking solutions"<<std::endl;
-	} else {
-	  std::cout<<GridLogMessage<< "ConjugateGradientMultiShiftMixedPrec: Not all shifts have converged iteration "<<k<<std::endl;
-	}
-	
-	// Check answers 
-	for(int s=0; s < nshift; s++) { 
-	  Linop_d.HermOpAndNorm(psi_d[s],mmp_d,d,qq);
-	  axpy(tmp_d,mass[s],psi_d[s],mmp_d);
-	  axpy(r_d,-alpha[s],src_d,tmp_d);
-	  RealD rn = norm2(r_d);
-	  RealD cn = norm2(src_d);
-	  TrueResidualShift[s] = std::sqrt(rn/cn);
-	  std::cout<<GridLogMessage<<"ConjugateGradientMultiShiftMixedPrec: shift["<<s<<"] true residual "<< TrueResidualShift[s] << " target " << mresidual[s] << std::endl;
-
-	  //If we have not reached the desired tolerance, do a (mixed precision) CG cleanup
-	  if(rn >= rsq[s]){
-	    CleanupTimer.Start();
-	    std::cout<<GridLogMessage<<"ConjugateGradientMultiShiftMixedPrec: performing cleanup step for shift " << s << std::endl;
-
-	    //Setup linear operators for final cleanup
-	    ConjugateGradientMultiShiftMixedPrecSupport::ShiftedLinop<FieldD> Linop_shift_d(Linop_d, mass[s]);
-	    ConjugateGradientMultiShiftMixedPrecSupport::ShiftedLinop<FieldF> Linop_shift_f(Linop_f, mass[s]);
-					       
-	    MixedPrecisionConjugateGradient<FieldD,FieldF> cg(mresidual[s], MaxIterations, MaxIterations, SinglePrecGrid, Linop_shift_f, Linop_shift_d); 
-	    cg(src_d, psi_d[s]);
-	    
-	    TrueResidualShift[s] = cg.TrueResidual;
-	    CleanupTimer.Stop();
-	  }
-	}
-
-	std::cout << GridLogMessage << "ConjugateGradientMultiShiftMixedPrec: Time Breakdown for body"<<std::endl;
-	std::cout << GridLogMessage << "\tSolver    " << SolverTimer.Elapsed()     <<std::endl;
-	std::cout << GridLogMessage << "\t\tAXPY    " << AXPYTimer.Elapsed()     <<std::endl;
-	std::cout << GridLogMessage << "\t\tMatrix    " << MatrixTimer.Elapsed()     <<std::endl;
-	std::cout << GridLogMessage << "\t\tShift    " << ShiftTimer.Elapsed()     <<std::endl;
-	std::cout << GridLogMessage << "\t\tPrecision Change " << PrecChangeTimer.Elapsed()     <<std::endl;
-	std::cout << GridLogMessage << "\tFinal Cleanup " << CleanupTimer.Elapsed()     <<std::endl;
-	std::cout << GridLogMessage << "\tSolver+Cleanup " << SolverTimer.Elapsed() + CleanupTimer.Elapsed() << std::endl;
-
-	IterationsToComplete = k;	
-
-	return;
-      }
-   
-    }
-    std::cout<<GridLogMessage<<"CG multi shift did not converge"<<std::endl;
-    GRID_ASSERT(0);
-  }
-
-};
-NAMESPACE_END(Grid);
-#endif

Grid/algorithms/iterative/ConjugateGradientReliableUpdate.h

@@ -1,4 +1,4 @@
-/*************************************************************************************
+    /*************************************************************************************
 
     Grid physics library, www.github.com/paboyle/Grid 
 
@@ -23,255 +23,234 @@ Author: Christopher Kelly <ckelly@phys.columbia.edu>
     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 */
+    /*  END LEGAL */
 #ifndef GRID_CONJUGATE_GRADIENT_RELIABLE_UPDATE_H
 #define GRID_CONJUGATE_GRADIENT_RELIABLE_UPDATE_H
 
-NAMESPACE_BEGIN(Grid);
+namespace Grid {
 
-template<class FieldD,class FieldF, 
+  template<class FieldD,class FieldF, typename std::enable_if< getPrecision<FieldD>::value == 2, int>::type = 0,typename std::enable_if< getPrecision<FieldF>::value == 1, int>::type = 0> 
-	 typename std::enable_if< getPrecision<FieldD>::value == 2, int>::type = 0,
+  class ConjugateGradientReliableUpdate : public LinearFunction<FieldD> {
-	 typename std::enable_if< getPrecision<FieldF>::value == 1, int>::type = 0> 
+  public:
-class ConjugateGradientReliableUpdate : public LinearFunction<FieldD> {
+    bool ErrorOnNoConverge;  // throw an assert when the CG fails to converge.
-public:
+    // Defaults true.
-  bool ErrorOnNoConverge;  // throw an GRID_ASSERT when the CG fails to converge.
+    RealD Tolerance;
-  // Defaults true.
+    Integer MaxIterations;
-  RealD Tolerance;
+    Integer IterationsToComplete; //Number of iterations the CG took to finish. Filled in upon completion
-  Integer MaxIterations;
+    Integer ReliableUpdatesPerformed;
-  Integer IterationsToComplete; //Number of iterations the CG took to finish. Filled in upon completion
-  Integer ReliableUpdatesPerformed;
 
-  bool DoFinalCleanup; //Final DP cleanup, defaults to true
+    bool DoFinalCleanup; //Final DP cleanup, defaults to true
-  Integer IterationsToCleanup; //Final DP cleanup step iterations
+    Integer IterationsToCleanup; //Final DP cleanup step iterations
     
-  LinearOperatorBase<FieldF> &Linop_f;
+    LinearOperatorBase<FieldF> &Linop_f;
-  LinearOperatorBase<FieldD> &Linop_d;
+    LinearOperatorBase<FieldD> &Linop_d;
-  GridBase* SinglePrecGrid;
+    GridBase* SinglePrecGrid;
-  RealD Delta; //reliable update parameter. A reliable update is performed when the residual drops by a factor of Delta relative to its value at the last update
+    RealD Delta; //reliable update parameter
 
-  //Optional ability to switch to a different linear operator once the tolerance reaches a certain point. Useful for single/half -> single/single
+    //Optional ability to switch to a different linear operator once the tolerance reaches a certain point. Useful for single/half -> single/single
-  LinearOperatorBase<FieldF> *Linop_fallback;
+    LinearOperatorBase<FieldF> *Linop_fallback;
-  RealD fallback_transition_tol;
+    RealD fallback_transition_tol;
 
     
-  ConjugateGradientReliableUpdate(RealD tol, Integer maxit, RealD _delta, GridBase* _sp_grid, LinearOperatorBase<FieldF> &_Linop_f, LinearOperatorBase<FieldD> &_Linop_d, bool err_on_no_conv = true)
+    ConjugateGradientReliableUpdate(RealD tol, Integer maxit, RealD _delta, GridBase* _sp_grid, LinearOperatorBase<FieldF> &_Linop_f, LinearOperatorBase<FieldD> &_Linop_d, bool err_on_no_conv = true)
-    : Tolerance(tol),
+      : Tolerance(tol),
-      MaxIterations(maxit),
+        MaxIterations(maxit),
-      Delta(_delta),
+	Delta(_delta),
-      Linop_f(_Linop_f),
+	Linop_f(_Linop_f),
-      Linop_d(_Linop_d),
+	Linop_d(_Linop_d),
-      SinglePrecGrid(_sp_grid),
+	SinglePrecGrid(_sp_grid),
-      ErrorOnNoConverge(err_on_no_conv),
+        ErrorOnNoConverge(err_on_no_conv),
-      DoFinalCleanup(true),
+	DoFinalCleanup(true),
-      Linop_fallback(NULL)
+	Linop_fallback(NULL)
-  {
+    {};
-    GRID_ASSERT(Delta > 0. && Delta < 1. && "Expect  0 < Delta < 1");
-  };
 
-  void setFallbackLinop(LinearOperatorBase<FieldF> &_Linop_fallback, const RealD _fallback_transition_tol){
+    void setFallbackLinop(LinearOperatorBase<FieldF> &_Linop_fallback, const RealD _fallback_transition_tol){
-    Linop_fallback = &_Linop_fallback;
+      Linop_fallback = &_Linop_fallback;
-    fallback_transition_tol = _fallback_transition_tol;      
+      fallback_transition_tol = _fallback_transition_tol;      
-  }
-    
-  void operator()(const FieldD &src, FieldD &psi) {
-    GRID_TRACE("ConjugateGradientReliableUpdate");
-    LinearOperatorBase<FieldF> *Linop_f_use = &Linop_f;
-    bool using_fallback = false;
-      
-    psi.Checkerboard() = src.Checkerboard();
-    conformable(psi, src);
-
-    RealD cp, c, a, d, b, ssq, qq, b_pred;
-
-    FieldD p(src);
-    FieldD mmp(src);
-    FieldD r(src);
-
-    // Initial residual computation & set up
-    RealD guess = norm2(psi);
-    GRID_ASSERT(std::isnan(guess) == 0);
-    
-    Linop_d.HermOpAndNorm(psi, mmp, d, b);
-    
-    r = src - mmp;
-    p = r;
-
-    a = norm2(p);
-    cp = a;
-    ssq = norm2(src);
-
-    std::cout << GridLogIterative << std::setprecision(4) << "ConjugateGradientReliableUpdate: guess " << guess << std::endl;
-    std::cout << GridLogIterative << std::setprecision(4) << "ConjugateGradientReliableUpdate:   src " << ssq << std::endl;
-    std::cout << GridLogIterative << std::setprecision(4) << "ConjugateGradientReliableUpdate:    mp " << d << std::endl;
-    std::cout << GridLogIterative << std::setprecision(4) << "ConjugateGradientReliableUpdate:   mmp " << b << std::endl;
-    std::cout << GridLogIterative << std::setprecision(4) << "ConjugateGradientReliableUpdate:  cp,r " << cp << std::endl;
-    std::cout << GridLogIterative << std::setprecision(4) << "ConjugateGradientReliableUpdate:     p " << a << std::endl;
-
-    RealD rsq = Tolerance * Tolerance * ssq;
-
-    // Check if guess is really REALLY good :)
-    if (cp <= rsq) {
-      std::cout << GridLogMessage << "ConjugateGradientReliableUpdate guess was REALLY good\n";
-      std::cout << GridLogMessage << "\tComputed residual " << std::sqrt(cp / ssq)<<std::endl;
-      return;
     }
     
-    //Single prec initialization
+    void operator()(const FieldD &src, FieldD &psi) {
-    precisionChangeWorkspace pc_wk_sp_to_dp(src.Grid(), SinglePrecGrid);
+      LinearOperatorBase<FieldF> *Linop_f_use = &Linop_f;
-    precisionChangeWorkspace pc_wk_dp_to_sp(SinglePrecGrid, src.Grid());
+      bool using_fallback = false;
       
-    FieldF r_f(SinglePrecGrid);
+      psi.checkerboard = src.checkerboard;
-    r_f.Checkerboard() = r.Checkerboard();
+      conformable(psi, src);
-    precisionChange(r_f, r, pc_wk_dp_to_sp);
 
-    FieldF psi_f(r_f);
+      RealD cp, c, a, d, b, ssq, qq, b_pred;
-    psi_f = Zero();
 
-    FieldF p_f(r_f);
+      FieldD p(src);
-    FieldF mmp_f(r_f);
+      FieldD mmp(src);
+      FieldD r(src);
 
-    RealD MaxResidSinceLastRelUp = cp; //initial residual    
+      // Initial residual computation & set up
+      RealD guess = norm2(psi);
+      assert(std::isnan(guess) == 0);
     
-    std::cout << GridLogIterative << std::setprecision(4)
+      Linop_d.HermOpAndNorm(psi, mmp, d, b);
-	      << "ConjugateGradient: k=0 residual " << cp << " target " << rsq << std::endl;
     
-    GridStopWatch LinalgTimer;
+      r = src - mmp;
-    GridStopWatch MatrixTimer;
+      p = r;
-    GridStopWatch SolverTimer;
-    GridStopWatch PrecChangeTimer;
 
-    SolverTimer.Start();
+      a = norm2(p);
-    int k = 0;
+      cp = a;
-    int l = 0;
+      ssq = norm2(src);
 
-    for (k = 1; k <= MaxIterations; k++) {
+      std::cout << GridLogIterative << std::setprecision(4) << "ConjugateGradientReliableUpdate: guess " << guess << std::endl;
-      c = cp;
+      std::cout << GridLogIterative << std::setprecision(4) << "ConjugateGradientReliableUpdate:   src " << ssq << std::endl;
+      std::cout << GridLogIterative << std::setprecision(4) << "ConjugateGradientReliableUpdate:    mp " << d << std::endl;
+      std::cout << GridLogIterative << std::setprecision(4) << "ConjugateGradientReliableUpdate:   mmp " << b << std::endl;
+      std::cout << GridLogIterative << std::setprecision(4) << "ConjugateGradientReliableUpdate:  cp,r " << cp << std::endl;
+      std::cout << GridLogIterative << std::setprecision(4) << "ConjugateGradientReliableUpdate:     p " << a << std::endl;
 
-      MatrixTimer.Start();
+      RealD rsq = Tolerance * Tolerance * ssq;
-      Linop_f_use->HermOpAndNorm(p_f, mmp_f, d, qq);
-      MatrixTimer.Stop();
 
-      LinalgTimer.Start();
+      // Check if guess is really REALLY good :)
-
-      a = c / d;
-      b_pred = a * (a * qq - d) / c;
-
-      cp = axpy_norm(r_f, -a, mmp_f, r_f);
-      b = cp / c;
-
-      // Fuse these loops ; should be really easy
-      psi_f = a * p_f + psi_f;
-      //p_f = p_f * b + r_f;
-
-      LinalgTimer.Stop();
-
-      std::cout << GridLogIterative << "ConjugateGradientReliableUpdate: Iteration " << k
-		<< " residual " << cp << " target " << rsq << std::endl;
-      std::cout << GridLogDebug << "a = "<< a << " b_pred = "<< b_pred << "  b = "<< b << std::endl;
-      std::cout << GridLogDebug << "qq = "<< qq << " d = "<< d << "  c = "<< c << std::endl;
-
-      if(cp > MaxResidSinceLastRelUp){
-	std::cout << GridLogIterative << "ConjugateGradientReliableUpdate: updating MaxResidSinceLastRelUp : " << MaxResidSinceLastRelUp << " -> " << cp << std::endl;
-	MaxResidSinceLastRelUp = cp;
-      }
-	  
-      // Stopping condition
       if (cp <= rsq) {
-	//Although not written in the paper, I assume that I have to add on the final solution
+	std::cout << GridLogMessage << "ConjugateGradientReliableUpdate guess was REALLY good\n";
-	PrecChangeTimer.Start();
+	std::cout << GridLogMessage << "\tComputed residual " << sqrt(cp / ssq)<<std::endl;
-	precisionChange(mmp, psi_f, pc_wk_sp_to_dp);
-	PrecChangeTimer.Stop();
-	psi = psi + mmp;
-	
-	
-	SolverTimer.Stop();
-	Linop_d.HermOpAndNorm(psi, mmp, d, qq);
-	p = mmp - src;
-
-	RealD srcnorm = std::sqrt(norm2(src));
-	RealD resnorm = std::sqrt(norm2(p));
-	RealD true_residual = resnorm / srcnorm;
-
-	std::cout << GridLogMessage << "ConjugateGradientReliableUpdate Converged on iteration " << k << " after " << l << " reliable updates" << std::endl;
-	std::cout << GridLogMessage << "\tComputed residual " << std::sqrt(cp / ssq)<<std::endl;
-	std::cout << GridLogMessage << "\tTrue residual " << true_residual<<std::endl;
-	std::cout << GridLogMessage << "\tTarget " << Tolerance << std::endl;
-
-	std::cout << GridLogMessage << "Time breakdown "<<std::endl;
-	std::cout << GridLogMessage << "\tElapsed    " << SolverTimer.Elapsed() <<std::endl;
-	std::cout << GridLogMessage << "\tMatrix     " << MatrixTimer.Elapsed() <<std::endl;
-	std::cout << GridLogMessage << "\tLinalg     " << LinalgTimer.Elapsed() <<std::endl;
-	std::cout << GridLogMessage << "\tPrecChange " << PrecChangeTimer.Elapsed() <<std::endl;
-	std::cout << GridLogMessage << "\tPrecChange avg time " << PrecChangeTimer.Elapsed()/(2*l+1) <<std::endl;
-
-	
-	IterationsToComplete = k;	
-	ReliableUpdatesPerformed = l;
-	  
-	if(DoFinalCleanup){
-	  //Do a final CG to cleanup
-	  std::cout << GridLogMessage << "ConjugateGradientReliableUpdate performing final cleanup.\n";
-	  ConjugateGradient<FieldD> CG(Tolerance,MaxIterations);
-	  CG.ErrorOnNoConverge = ErrorOnNoConverge;
-	  CG(Linop_d,src,psi);
-	  IterationsToCleanup = CG.IterationsToComplete;
-	}
-	else if (ErrorOnNoConverge) GRID_ASSERT(true_residual / Tolerance < 10000.0);
-
-	std::cout << GridLogMessage << "ConjugateGradientReliableUpdate complete.\n";
 	return;
       }
-      else if(cp < Delta * MaxResidSinceLastRelUp) { //reliable update
+
-	std::cout << GridLogMessage << "ConjugateGradientReliableUpdate "
+      //Single prec initialization
-		  << cp << "(residual) < " << Delta << "(Delta) * " << MaxResidSinceLastRelUp << "(MaxResidSinceLastRelUp) on iteration " << k << " : performing reliable update\n";
+      FieldF r_f(SinglePrecGrid);
-	PrecChangeTimer.Start();
+      r_f.checkerboard = r.checkerboard;
-	precisionChange(mmp, psi_f, pc_wk_sp_to_dp);
+      precisionChange(r_f, r);
-	PrecChangeTimer.Stop();
+
-	psi = psi + mmp;
+      FieldF psi_f(r_f);
+      psi_f = zero;
+
+      FieldF p_f(r_f);
+      FieldF mmp_f(r_f);
+
+      RealD MaxResidSinceLastRelUp = cp; //initial residual    
+    
+      std::cout << GridLogIterative << std::setprecision(4)
+		<< "ConjugateGradient: k=0 residual " << cp << " target " << rsq << std::endl;
+
+      GridStopWatch LinalgTimer;
+      GridStopWatch MatrixTimer;
+      GridStopWatch SolverTimer;
+
+      SolverTimer.Start();
+      int k = 0;
+      int l = 0;
+    
+      for (k = 1; k <= MaxIterations; k++) {
+	c = cp;
 
 	MatrixTimer.Start();
-	Linop_d.HermOpAndNorm(psi, mmp, d, qq);
+	Linop_f_use->HermOpAndNorm(p_f, mmp_f, d, qq);
 	MatrixTimer.Stop();
 
-	r = src - mmp;
+	LinalgTimer.Start();
 
-	psi_f = Zero();
+	a = c / d;
-	PrecChangeTimer.Start();
+	b_pred = a * (a * qq - d) / c;
-	precisionChange(r_f, r, pc_wk_dp_to_sp);
-	PrecChangeTimer.Stop();
-	cp = norm2(r);
-	MaxResidSinceLastRelUp = cp;
 
-	b = cp/c;
+	cp = axpy_norm(r_f, -a, mmp_f, r_f);
+	b = cp / c;
+
+	// Fuse these loops ; should be really easy
+	psi_f = a * p_f + psi_f;
+	//p_f = p_f * b + r_f;
+
+	LinalgTimer.Stop();
+
+	std::cout << GridLogIterative << "ConjugateGradientReliableUpdate: Iteration " << k
+		  << " residual " << cp << " target " << rsq << std::endl;
+	std::cout << GridLogDebug << "a = "<< a << " b_pred = "<< b_pred << "  b = "<< b << std::endl;
+	std::cout << GridLogDebug << "qq = "<< qq << " d = "<< d << "  c = "<< c << std::endl;
+
+	if(cp > MaxResidSinceLastRelUp){
+	  std::cout << GridLogIterative << "ConjugateGradientReliableUpdate: updating MaxResidSinceLastRelUp : " << MaxResidSinceLastRelUp << " -> " << cp << std::endl;
+	  MaxResidSinceLastRelUp = cp;
+	}
+	  
+	// Stopping condition
+	if (cp <= rsq) {
+	  //Although not written in the paper, I assume that I have to add on the final solution
+	  precisionChange(mmp, psi_f);
+	  psi = psi + mmp;
+	
+	
+	  SolverTimer.Stop();
+	  Linop_d.HermOpAndNorm(psi, mmp, d, qq);
+	  p = mmp - src;
+
+	  RealD srcnorm = sqrt(norm2(src));
+	  RealD resnorm = sqrt(norm2(p));
+	  RealD true_residual = resnorm / srcnorm;
+
+	  std::cout << GridLogMessage << "ConjugateGradientReliableUpdate Converged on iteration " << k << " after " << l << " reliable updates" << std::endl;
+	  std::cout << GridLogMessage << "\tComputed residual " << sqrt(cp / ssq)<<std::endl;
+	  std::cout << GridLogMessage << "\tTrue residual " << true_residual<<std::endl;
+	  std::cout << GridLogMessage << "\tTarget " << Tolerance << std::endl;
+
+	  std::cout << GridLogMessage << "Time breakdown "<<std::endl;
+	  std::cout << GridLogMessage << "\tElapsed    " << SolverTimer.Elapsed() <<std::endl;
+	  std::cout << GridLogMessage << "\tMatrix     " << MatrixTimer.Elapsed() <<std::endl;
+	  std::cout << GridLogMessage << "\tLinalg     " << LinalgTimer.Elapsed() <<std::endl;
+
+	  IterationsToComplete = k;	
+	  ReliableUpdatesPerformed = l;
+	  
+	  if(DoFinalCleanup){
+	    //Do a final CG to cleanup
+	    std::cout << GridLogMessage << "ConjugateGradientReliableUpdate performing final cleanup.\n";
+	    ConjugateGradient<FieldD> CG(Tolerance,MaxIterations);
+	    CG.ErrorOnNoConverge = ErrorOnNoConverge;
+	    CG(Linop_d,src,psi);
+	    IterationsToCleanup = CG.IterationsToComplete;
+	  }
+	  else if (ErrorOnNoConverge) assert(true_residual / Tolerance < 10000.0);
+
+	  std::cout << GridLogMessage << "ConjugateGradientReliableUpdate complete.\n";
+	  return;
+	}
+	else if(cp < Delta * MaxResidSinceLastRelUp) { //reliable update
+	  std::cout << GridLogMessage << "ConjugateGradientReliableUpdate "
+		    << cp << "(residual) < " << Delta << "(Delta) * " << MaxResidSinceLastRelUp << "(MaxResidSinceLastRelUp) on iteration " << k << " : performing reliable update\n";
+	  precisionChange(mmp, psi_f);
+	  psi = psi + mmp;
+
+	  Linop_d.HermOpAndNorm(psi, mmp, d, qq);
+	  r = src - mmp;
+
+	  psi_f = zero;
+	  precisionChange(r_f, r);
+	  cp = norm2(r);
+	  MaxResidSinceLastRelUp = cp;
+
+	  b = cp/c;
+	  
+	  std::cout << GridLogMessage << "ConjugateGradientReliableUpdate new residual " << cp << std::endl;
+	  
+	  l = l+1;
+	}
+
+	p_f = p_f * b + r_f; //update search vector after reliable update appears to help convergence
+
+	if(!using_fallback && Linop_fallback != NULL && cp < fallback_transition_tol){
+	  std::cout << GridLogMessage << "ConjugateGradientReliableUpdate switching to fallback linear operator on iteration " << k << " at residual " << cp << std::endl;
+	  Linop_f_use = Linop_fallback;
+	  using_fallback = true;
+	}
 
-	std::cout << GridLogMessage << "ConjugateGradientReliableUpdate new residual " << cp << std::endl;
 	
-	l = l+1;
       }
+      std::cout << GridLogMessage << "ConjugateGradientReliableUpdate did NOT converge"
+		<< std::endl;
       
-      p_f = p_f * b + r_f; //update search vector after reliable update appears to help convergence
+      if (ErrorOnNoConverge) assert(0);
-
+      IterationsToComplete = k;
-      if(!using_fallback && Linop_fallback != NULL && cp < fallback_transition_tol){
+      ReliableUpdatesPerformed = l;      
-	std::cout << GridLogMessage << "ConjugateGradientReliableUpdate switching to fallback linear operator on iteration " << k << " at residual " << cp << std::endl;
-	Linop_f_use = Linop_fallback;
-	using_fallback = true;
-      }
-
-	
     }    
-    std::cout << GridLogMessage << "ConjugateGradientReliableUpdate did NOT converge"
+  };
-	      << std::endl;
+
 
-    if (ErrorOnNoConverge) GRID_ASSERT(0);
-    IterationsToComplete = k;
-    ReliableUpdatesPerformed = l;      
-  }    
 };
 
 
-NAMESPACE_END(Grid);
-
-
 
 #endif

Grid/algorithms/iterative/ConjugateResidual.h

@@ -1,4 +1,4 @@
-/*************************************************************************************
+    /*************************************************************************************
 
     Grid physics library, www.github.com/paboyle/Grid 
 
@@ -24,90 +24,88 @@ Author: Peter Boyle <paboyle@ph.ed.ac.uk>
     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 */
+    /*  END LEGAL */
 #ifndef GRID_CONJUGATE_RESIDUAL_H
 #define GRID_CONJUGATE_RESIDUAL_H
 
-NAMESPACE_BEGIN(Grid);
+namespace Grid {
 
-/////////////////////////////////////////////////////////////
+    /////////////////////////////////////////////////////////////
-// Base classes for iterative processes based on operators
+    // Base classes for iterative processes based on operators
-// single input vec, single output vec.
+    // single input vec, single output vec.
-/////////////////////////////////////////////////////////////
+    /////////////////////////////////////////////////////////////
 
-template<class Field> 
+  template<class Field> 
-class ConjugateResidual : public OperatorFunction<Field> {
+    class ConjugateResidual : public OperatorFunction<Field> {
-public:                                                
+  public:                                                
-  using OperatorFunction<Field>::operator();
+    RealD   Tolerance;
+    Integer MaxIterations;
+    int verbose;
 
-  RealD   Tolerance;
+    ConjugateResidual(RealD tol,Integer maxit) : Tolerance(tol), MaxIterations(maxit) { 
-  Integer MaxIterations;
+      verbose=0;
-  int verbose;
+    };
 
-  ConjugateResidual(RealD tol,Integer maxit) : Tolerance(tol), MaxIterations(maxit) { 
+    void operator() (LinearOperatorBase<Field> &Linop,const Field &src, Field &psi){
-    verbose=0;
-  };
 
-  void operator() (LinearOperatorBase<Field> &Linop,const Field &src, Field &psi){
+      RealD a, b, c, d;
+      RealD cp, ssq,rsq;
       
-    RealD a, b; // c, d;
+      RealD rAr, rAAr, rArp;
-    RealD cp, ssq,rsq;
+      RealD pAp, pAAp;
 
-    RealD rAr, rAAr, rArp;
+      GridBase *grid = src._grid;
-    RealD pAp, pAAp;
+      psi=zero;
+      Field r(grid),  p(grid), Ap(grid), Ar(grid);
       
-    GridBase *grid = src.Grid();
+      r=src;
-    psi=Zero();
+      p=src;
-    Field r(grid),  p(grid), Ap(grid), Ar(grid);
-      
-    r=src;
-    p=src;
-
-    Linop.HermOpAndNorm(p,Ap,pAp,pAAp);
-    Linop.HermOpAndNorm(r,Ar,rAr,rAAr);
-
-    cp =norm2(r);
-    ssq=norm2(src);
-    rsq=Tolerance*Tolerance*ssq;
-
-    if (verbose) std::cout<<GridLogMessage<<"ConjugateResidual: iteration " <<0<<" residual "<<cp<< " target"<< rsq<<std::endl;
-
-    for(int k=1;k<MaxIterations;k++){
-
-      a = rAr/pAAp;
-
-      axpy(psi,a,p,psi);
-
-      cp = axpy_norm(r,-a,Ap,r);
-
-      rArp=rAr;
 
+      Linop.HermOpAndNorm(p,Ap,pAp,pAAp);
       Linop.HermOpAndNorm(r,Ar,rAr,rAAr);
 
-      b   =rAr/rArp;
+      cp =norm2(r);
+      ssq=norm2(src);
+      rsq=Tolerance*Tolerance*ssq;
 
-      axpy(p,b,p,r);
+      if (verbose) std::cout<<GridLogMessage<<"ConjugateResidual: iteration " <<0<<" residual "<<cp<< " target"<< rsq<<std::endl;
-      pAAp=axpy_norm(Ap,b,Ap,Ar);
 
-      if(verbose) std::cout<<GridLogMessage<<"ConjugateResidual: iteration " <<k<<" residual "<<cp<< " target"<< rsq<<std::endl;
+      for(int k=1;k<MaxIterations;k++){
+
+	a = rAr/pAAp;
+
+	axpy(psi,a,p,psi);
+
+	cp = axpy_norm(r,-a,Ap,r);
+
+	rArp=rAr;
+
+	Linop.HermOpAndNorm(r,Ar,rAr,rAAr);
+
+	b   =rAr/rArp;
+ 
+	axpy(p,b,p,r);
+	pAAp=axpy_norm(Ap,b,Ap,Ar);
+	
+	if(verbose) std::cout<<GridLogMessage<<"ConjugateResidual: iteration " <<k<<" residual "<<cp<< " target"<< rsq<<std::endl;
+
+	if(cp<rsq) {
+	  Linop.HermOp(psi,Ap);
+	  axpy(r,-1.0,src,Ap);
+	  RealD true_resid = norm2(r)/ssq;
+	  std::cout<<GridLogMessage<<"ConjugateResidual: Converged on iteration " <<k
+		   << " computed residual "<<sqrt(cp/ssq)
+	           << " true residual "<<sqrt(true_resid)
+	           << " target "       <<Tolerance <<std::endl;
+	  return;
+	}
 
-      if(cp<rsq) {
-	Linop.HermOp(psi,Ap);
-	axpy(r,-1.0,src,Ap);
-	RealD true_resid = norm2(r)/ssq;
-	std::cout<<GridLogMessage<<"ConjugateResidual: Converged on iteration " <<k
-		 << " computed residual "<<std::sqrt(cp/ssq)
-		 << " true residual "<<std::sqrt(true_resid)
-		 << " target "       <<Tolerance <<std::endl;
-	return;
       }
 
+      std::cout<<GridLogMessage<<"ConjugateResidual did NOT converge"<<std::endl;
+      assert(0);
     }
-
+  };
-    std::cout<<GridLogMessage<<"ConjugateResidual did NOT converge"<<std::endl;
+}
-    GRID_ASSERT(0);
-  }
-};
-NAMESPACE_END(Grid);
 #endif

Grid/algorithms/iterative/Deflation.h

@@ -33,19 +33,12 @@ namespace Grid {
 template<class Field>
 class ZeroGuesser: public LinearFunction<Field> {
 public:
-  using LinearFunction<Field>::operator();
+  virtual void operator()(const Field &src, Field &guess) { guess = zero; };
-    virtual void operator()(const Field &src, Field &guess) { guess = Zero(); };
-};
-template<class Field>
-class DoNothingGuesser: public LinearFunction<Field> {
-public:
-  using LinearFunction<Field>::operator();
-  virtual void operator()(const Field &src, Field &guess) {  };
 };
+
 template<class Field>
 class SourceGuesser: public LinearFunction<Field> {
 public:
-  using LinearFunction<Field>::operator();
   virtual void operator()(const Field &src, Field &guess) { guess = src; };
 };
 
@@ -57,29 +50,20 @@ class DeflatedGuesser: public LinearFunction<Field> {
 private:
   const std::vector<Field> &evec;
   const std::vector<RealD> &eval;
-  const unsigned int       N;
 
 public:
-  using LinearFunction<Field>::operator();
 
-  DeflatedGuesser(const std::vector<Field> & _evec,const std::vector<RealD> & _eval)
+  DeflatedGuesser(const std::vector<Field> & _evec,const std::vector<RealD> & _eval) : evec(_evec), eval(_eval) {};
-  : DeflatedGuesser(_evec, _eval, _evec.size())
-  {}
-
-  DeflatedGuesser(const std::vector<Field> & _evec, const std::vector<RealD> & _eval, const unsigned int _N)
-  : evec(_evec), eval(_eval), N(_N)
-  {
-    GRID_ASSERT(evec.size()==eval.size());
-    GRID_ASSERT(N <= evec.size());
-  } 
 
   virtual void operator()(const Field &src,Field &guess) {
-    guess = Zero();
+    guess = zero;
+    assert(evec.size()==eval.size());
+    auto N = evec.size();
     for (int i=0;i<N;i++) {
       const Field& tmp = evec[i];
       axpy(guess,TensorRemove(innerProduct(tmp,src)) / eval[i],tmp,guess);
     }
-    guess.Checkerboard() = src.Checkerboard();
+    guess.checkerboard = src.checkerboard;
   }
 };
 
@@ -91,7 +75,6 @@ private:
   const std::vector<RealD>       &eval_coarse;
 public:
   
-  using LinearFunction<FineField>::operator();
   LocalCoherenceDeflatedGuesser(const std::vector<FineField>   &_subspace,
 				const std::vector<CoarseField> &_evec_coarse,
 				const std::vector<RealD>       &_eval_coarse)
@@ -103,52 +86,17 @@ public:
   
   void operator()(const FineField &src,FineField &guess) { 
     int N = (int)evec_coarse.size();
-    CoarseField src_coarse(evec_coarse[0].Grid());
+    CoarseField src_coarse(evec_coarse[0]._grid);
-    CoarseField guess_coarse(evec_coarse[0].Grid());    guess_coarse = Zero();
+    CoarseField guess_coarse(evec_coarse[0]._grid);    guess_coarse = zero;
     blockProject(src_coarse,src,subspace);    
     for (int i=0;i<N;i++) {
       const CoarseField & tmp = evec_coarse[i];
       axpy(guess_coarse,TensorRemove(innerProduct(tmp,src_coarse)) / eval_coarse[i],tmp,guess_coarse);
     }
     blockPromote(guess_coarse,guess,subspace);
-    guess.Checkerboard() = src.Checkerboard();
+    guess.checkerboard = src.checkerboard;
-  };
-
-  void operator()(const std::vector<FineField> &src,std::vector<FineField> &guess) {
-    int Nevec = (int)evec_coarse.size();
-    int Nsrc = (int)src.size();
-    // make temp variables
-    std::vector<CoarseField> src_coarse(Nsrc,evec_coarse[0].Grid());
-    std::vector<CoarseField> guess_coarse(Nsrc,evec_coarse[0].Grid());    
-    //Preporcessing
-    std::cout << GridLogMessage << "Start BlockProject for loop" << std::endl;
-    for (int j=0;j<Nsrc;j++)
-    {
-    guess_coarse[j] = Zero();
-    std::cout << GridLogMessage << "BlockProject iter: " << j << std::endl;
-    blockProject(src_coarse[j],src[j],subspace);
-    }
-    //deflation set up for eigen vector batchsize 1 and source batch size equal number of sources
-    std::cout << GridLogMessage << "Start ProjectAccum for loop" << std::endl;
-    for (int i=0;i<Nevec;i++)
-    {
-      std::cout << GridLogMessage << "ProjectAccum Nvec: " << i << std::endl;
-      const CoarseField & tmp = evec_coarse[i];
-      for (int j=0;j<Nsrc;j++)
-      {
-        axpy(guess_coarse[j],TensorRemove(innerProduct(tmp,src_coarse[j])) / eval_coarse[i],tmp,guess_coarse[j]);
-      }
-    }
-    //postprocessing
-    std::cout << GridLogMessage << "Start BlockPromote for loop" << std::endl;
-    for (int j=0;j<Nsrc;j++) {
-      std::cout << GridLogMessage << "BlockProject iter: " << j << std::endl;
-      blockPromote(guess_coarse[j],guess[j],subspace);
-      guess[j].Checkerboard() = src[j].Checkerboard();
-    }
-  };
-
   };
+};
 
 
 

Grid/algorithms/iterative/FlexibleCommunicationAvoidingGeneralisedMinimalResidual.h

@@ -1,258 +0,0 @@
-/*************************************************************************************
-
-Grid physics library, www.github.com/paboyle/Grid
-
-Source file: ./lib/algorithms/iterative/FlexibleCommunicationAvoidingGeneralisedMinimalResidual.h
-
-Copyright (C) 2015
-
-Author: Daniel Richtmann <daniel.richtmann@ur.de>
-
-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 GRID_FLEXIBLE_COMMUNICATION_AVOIDING_GENERALISED_MINIMAL_RESIDUAL_H
-#define GRID_FLEXIBLE_COMMUNICATION_AVOIDING_GENERALISED_MINIMAL_RESIDUAL_H
-
-namespace Grid {
-
-template<class Field>
-class FlexibleCommunicationAvoidingGeneralisedMinimalResidual : public OperatorFunction<Field> {
- public:
-  using OperatorFunction<Field>::operator();
-
-  bool ErrorOnNoConverge; // Throw an GRID_ASSERT when FCAGMRES fails to converge,
-                          // defaults to true
-
-  RealD   Tolerance;
-
-  Integer MaxIterations;
-  Integer RestartLength;
-  Integer MaxNumberOfRestarts;
-  Integer IterationCount; // Number of iterations the FCAGMRES took to finish,
-                          // filled in upon completion
-
-  GridStopWatch MatrixTimer;
-  GridStopWatch PrecTimer;
-  GridStopWatch LinalgTimer;
-  GridStopWatch QrTimer;
-  GridStopWatch CompSolutionTimer;
-
-  Eigen::MatrixXcd H;
-
-  std::vector<ComplexD> y;
-  std::vector<ComplexD> gamma;
-  std::vector<ComplexD> c;
-  std::vector<ComplexD> s;
-
-  LinearFunction<Field> &Preconditioner;
-
-  FlexibleCommunicationAvoidingGeneralisedMinimalResidual(RealD   tol,
-                                                          Integer maxit,
-                                                          LinearFunction<Field> &Prec,
-                                                          Integer restart_length,
-                                                          bool    err_on_no_conv = true)
-      : Tolerance(tol)
-      , MaxIterations(maxit)
-      , RestartLength(restart_length)
-      , MaxNumberOfRestarts(MaxIterations/RestartLength + ((MaxIterations%RestartLength == 0) ? 0 : 1))
-      , ErrorOnNoConverge(err_on_no_conv)
-      , H(Eigen::MatrixXcd::Zero(RestartLength, RestartLength + 1)) // sizes taken from DD-αAMG code base
-      , y(RestartLength + 1, 0.)
-      , gamma(RestartLength + 1, 0.)
-      , c(RestartLength + 1, 0.)
-      , s(RestartLength + 1, 0.)
-      , Preconditioner(Prec) {};
-
-  void operator()(LinearOperatorBase<Field> &LinOp, const Field &src, Field &psi) {
-
-    std::cout << GridLogWarning << "This algorithm currently doesn't differ from regular FGMRES" << std::endl;
-
-    psi.Checkerboard() = src.Checkerboard();
-    conformable(psi, src);
-
-    RealD guess = norm2(psi);
-    GRID_ASSERT(std::isnan(guess) == 0);
-
-    RealD cp;
-    RealD ssq = norm2(src);
-    RealD rsq = Tolerance * Tolerance * ssq;
-
-    Field r(src.Grid());
-
-    std::cout << std::setprecision(4) << std::scientific;
-    std::cout << GridLogIterative << "FlexibleCommunicationAvoidingGeneralisedMinimalResidual: guess " << guess << std::endl;
-    std::cout << GridLogIterative << "FlexibleCommunicationAvoidingGeneralisedMinimalResidual:   src " << ssq   << std::endl;
-
-    PrecTimer.Reset();
-    MatrixTimer.Reset();
-    LinalgTimer.Reset();
-    QrTimer.Reset();
-    CompSolutionTimer.Reset();
-
-    GridStopWatch SolverTimer;
-    SolverTimer.Start();
-
-    IterationCount = 0;
-
-    for (int k=0; k<MaxNumberOfRestarts; k++) {
-
-      cp = outerLoopBody(LinOp, src, psi, rsq);
-
-      // Stopping condition
-      if (cp <= rsq) {
-
-        SolverTimer.Stop();
-
-        LinOp.Op(psi,r);
-        axpy(r,-1.0,src,r);
-
-        RealD srcnorm       = sqrt(ssq);
-        RealD resnorm       = sqrt(norm2(r));
-        RealD true_residual = resnorm / srcnorm;
-
-        std::cout << GridLogMessage        << "FlexibleCommunicationAvoidingGeneralisedMinimalResidual: Converged on iteration " << IterationCount
-                  << " computed residual " << sqrt(cp / ssq)
-                  << " true residual "     << true_residual
-                  << " target "            << Tolerance << std::endl;
-
-        std::cout << GridLogMessage << "FCAGMRES Time elapsed: Total   " <<       SolverTimer.Elapsed() << std::endl;
-        std::cout << GridLogMessage << "FCAGMRES Time elapsed: Precon  " <<         PrecTimer.Elapsed() << std::endl;
-        std::cout << GridLogMessage << "FCAGMRES Time elapsed: Matrix  " <<       MatrixTimer.Elapsed() << std::endl;
-        std::cout << GridLogMessage << "FCAGMRES Time elapsed: Linalg  " <<       LinalgTimer.Elapsed() << std::endl;
-        std::cout << GridLogMessage << "FCAGMRES Time elapsed: QR      " <<           QrTimer.Elapsed() << std::endl;
-        std::cout << GridLogMessage << "FCAGMRES Time elapsed: CompSol " << CompSolutionTimer.Elapsed() << std::endl;
-        return;
-      }
-    }
-
-    std::cout << GridLogMessage << "FlexibleCommunicationAvoidingGeneralisedMinimalResidual did NOT converge" << std::endl;
-
-    if (ErrorOnNoConverge)
-      GRID_ASSERT(0);
-  }
-
-  RealD outerLoopBody(LinearOperatorBase<Field> &LinOp, const Field &src, Field &psi, RealD rsq) {
-
-    RealD cp = 0;
-
-    Field w(src.Grid());
-    Field r(src.Grid());
-
-    // these should probably be made class members so that they are only allocated once, not in every restart
-    std::vector<Field> v(RestartLength + 1, src.Grid()); for (auto &elem : v) elem = Zero();
-    std::vector<Field> z(RestartLength + 1, src.Grid()); for (auto &elem : z) elem = Zero();
-
-    MatrixTimer.Start();
-    LinOp.Op(psi, w);
-    MatrixTimer.Stop();
-
-    LinalgTimer.Start();
-    r = src - w;
-
-    gamma[0] = sqrt(norm2(r));
-
-    v[0] = (1. / gamma[0]) * r;
-    LinalgTimer.Stop();
-
-    for (int i=0; i<RestartLength; i++) {
-
-      IterationCount++;
-
-      arnoldiStep(LinOp, v, z, w, i);
-
-      qrUpdate(i);
-
-      cp = norm(gamma[i+1]);
-
-      std::cout << GridLogIterative << "FlexibleCommunicationAvoidingGeneralisedMinimalResidual: Iteration " << IterationCount
-                << " residual " << cp << " target " << rsq << std::endl;
-
-      if ((i == RestartLength - 1) || (IterationCount == MaxIterations) || (cp <= rsq)) {
-
-        computeSolution(z, psi, i);
-
-        return cp;
-      }
-    }
-
-    GRID_ASSERT(0); // Never reached
-    return cp;
-  }
-
-  void arnoldiStep(LinearOperatorBase<Field> &LinOp, std::vector<Field> &v, std::vector<Field> &z, Field &w, int iter) {
-
-    PrecTimer.Start();
-    Preconditioner(v[iter], z[iter]);
-    PrecTimer.Stop();
-
-    MatrixTimer.Start();
-    LinOp.Op(z[iter], w);
-    MatrixTimer.Stop();
-
-    LinalgTimer.Start();
-    for (int i = 0; i <= iter; ++i) {
-      H(iter, i) = innerProduct(v[i], w);
-      w = w - ComplexD(H(iter, i)) * v[i];
-    }
-
-    H(iter, iter + 1) = sqrt(norm2(w));
-    v[iter + 1] = ComplexD(1. / H(iter, iter + 1)) * w;
-    LinalgTimer.Stop();
-  }
-
-  void qrUpdate(int iter) {
-
-    QrTimer.Start();
-    for (int i = 0; i < iter ; ++i) {
-      auto tmp       = -s[i] * ComplexD(H(iter, i)) + c[i] * ComplexD(H(iter, i + 1));
-      H(iter, i)     = conjugate(c[i]) * ComplexD(H(iter, i)) + conjugate(s[i]) * ComplexD(H(iter, i + 1));
-      H(iter, i + 1) = tmp;
-    }
-
-    // Compute new Givens Rotation
-    auto nu = sqrt(std::norm(H(iter, iter)) + std::norm(H(iter, iter + 1)));
-    c[iter]     = H(iter, iter) / nu;
-    s[iter]     = H(iter, iter + 1) / nu;
-
-    // Apply new Givens rotation
-    H(iter, iter)     = nu;
-    H(iter, iter + 1) = 0.;
-
-    gamma[iter + 1] = -s[iter] * gamma[iter];
-    gamma[iter]     = conjugate(c[iter]) * gamma[iter];
-    QrTimer.Stop();
-  }
-
-  void computeSolution(std::vector<Field> const &z, Field &psi, int iter) {
-
-    CompSolutionTimer.Start();
-    for (int i = iter; i >= 0; i--) {
-      y[i] = gamma[i];
-      for (int k = i + 1; k <= iter; k++)
-        y[i] = y[i] - ComplexD(H(k, i)) * y[k];
-      y[i] = y[i] / ComplexD(H(i, i));
-    }
-
-    for (int i = 0; i <= iter; i++)
-      psi = psi + z[i] * y[i];
-    CompSolutionTimer.Stop();
-  }
-};
-}
-#endif

Grid/algorithms/iterative/FlexibleGeneralisedMinimalResidual.h

@@ -1,256 +0,0 @@
-/*************************************************************************************
-
-Grid physics library, www.github.com/paboyle/Grid
-
-Source file: ./lib/algorithms/iterative/FlexibleGeneralisedMinimalResidual.h
-
-Copyright (C) 2015
-
-Author: Daniel Richtmann <daniel.richtmann@ur.de>
-
-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 GRID_FLEXIBLE_GENERALISED_MINIMAL_RESIDUAL_H
-#define GRID_FLEXIBLE_GENERALISED_MINIMAL_RESIDUAL_H
-
-namespace Grid {
-
-template<class Field>
-class FlexibleGeneralisedMinimalResidual : public OperatorFunction<Field> {
- public:
-  using OperatorFunction<Field>::operator();
-
-  bool ErrorOnNoConverge; // Throw an GRID_ASSERT when FGMRES fails to converge,
-                          // defaults to true
-
-  RealD   Tolerance;
-
-  Integer MaxIterations;
-  Integer RestartLength;
-  Integer MaxNumberOfRestarts;
-  Integer IterationCount; // Number of iterations the FGMRES took to finish,
-                          // filled in upon completion
-
-  GridStopWatch MatrixTimer;
-  GridStopWatch PrecTimer;
-  GridStopWatch LinalgTimer;
-  GridStopWatch QrTimer;
-  GridStopWatch CompSolutionTimer;
-
-  Eigen::MatrixXcd H;
-
-  std::vector<ComplexD> y;
-  std::vector<ComplexD> gamma;
-  std::vector<ComplexD> c;
-  std::vector<ComplexD> s;
-
-  LinearFunction<Field> &Preconditioner;
-
-  FlexibleGeneralisedMinimalResidual(RealD   tol,
-                                     Integer maxit,
-                                     LinearFunction<Field> &Prec,
-                                     Integer restart_length,
-                                     bool    err_on_no_conv = true)
-      : Tolerance(tol)
-      , MaxIterations(maxit)
-      , RestartLength(restart_length)
-      , MaxNumberOfRestarts(MaxIterations/RestartLength + ((MaxIterations%RestartLength == 0) ? 0 : 1))
-      , ErrorOnNoConverge(err_on_no_conv)
-      , H(Eigen::MatrixXcd::Zero(RestartLength, RestartLength + 1)) // sizes taken from DD-αAMG code base
-      , y(RestartLength + 1, 0.)
-      , gamma(RestartLength + 1, 0.)
-      , c(RestartLength + 1, 0.)
-      , s(RestartLength + 1, 0.)
-      , Preconditioner(Prec) {};
-
-  void operator()(LinearOperatorBase<Field> &LinOp, const Field &src, Field &psi) {
-
-    psi.Checkerboard() = src.Checkerboard();
-    conformable(psi, src);
-
-    RealD guess = norm2(psi);
-    GRID_ASSERT(std::isnan(guess) == 0);
-
-    RealD cp;
-    RealD ssq = norm2(src);
-    RealD rsq = Tolerance * Tolerance * ssq;
-
-    Field r(src.Grid());
-
-    std::cout << std::setprecision(4) << std::scientific;
-    std::cout << GridLogIterative << "FlexibleGeneralisedMinimalResidual: guess " << guess << std::endl;
-    std::cout << GridLogIterative << "FlexibleGeneralisedMinimalResidual:   src " << ssq   << std::endl;
-
-    PrecTimer.Reset();
-    MatrixTimer.Reset();
-    LinalgTimer.Reset();
-    QrTimer.Reset();
-    CompSolutionTimer.Reset();
-
-    GridStopWatch SolverTimer;
-    SolverTimer.Start();
-
-    IterationCount = 0;
-
-    for (int k=0; k<MaxNumberOfRestarts; k++) {
-
-      cp = outerLoopBody(LinOp, src, psi, rsq);
-
-      // Stopping condition
-      if (cp <= rsq) {
-
-        SolverTimer.Stop();
-
-        LinOp.Op(psi,r);
-        axpy(r,-1.0,src,r);
-
-        RealD srcnorm       = sqrt(ssq);
-        RealD resnorm       = sqrt(norm2(r));
-        RealD true_residual = resnorm / srcnorm;
-
-        std::cout << GridLogMessage        << "FlexibleGeneralisedMinimalResidual: Converged on iteration " << IterationCount
-                  << " computed residual " << sqrt(cp / ssq)
-                  << " true residual "     << true_residual
-                  << " target "            << Tolerance << std::endl;
-
-        std::cout << GridLogMessage << "FGMRES Time elapsed: Total   " <<       SolverTimer.Elapsed() << std::endl;
-        std::cout << GridLogMessage << "FGMRES Time elapsed: Precon  " <<         PrecTimer.Elapsed() << std::endl;
-        std::cout << GridLogMessage << "FGMRES Time elapsed: Matrix  " <<       MatrixTimer.Elapsed() << std::endl;
-        std::cout << GridLogMessage << "FGMRES Time elapsed: Linalg  " <<       LinalgTimer.Elapsed() << std::endl;
-        std::cout << GridLogMessage << "FGMRES Time elapsed: QR      " <<           QrTimer.Elapsed() << std::endl;
-        std::cout << GridLogMessage << "FGMRES Time elapsed: CompSol " << CompSolutionTimer.Elapsed() << std::endl;
-        return;
-      }
-    }
-
-    std::cout << GridLogMessage << "FlexibleGeneralisedMinimalResidual did NOT converge" << std::endl;
-
-    if (ErrorOnNoConverge)
-      GRID_ASSERT(0);
-  }
-
-  RealD outerLoopBody(LinearOperatorBase<Field> &LinOp, const Field &src, Field &psi, RealD rsq) {
-
-    RealD cp = 0;
-
-    Field w(src.Grid());
-    Field r(src.Grid());
-
-    // these should probably be made class members so that they are only allocated once, not in every restart
-    std::vector<Field> v(RestartLength + 1, src.Grid()); for (auto &elem : v) elem = Zero();
-    std::vector<Field> z(RestartLength + 1, src.Grid()); for (auto &elem : z) elem = Zero();
-
-    MatrixTimer.Start();
-    LinOp.Op(psi, w);
-    MatrixTimer.Stop();
-
-    LinalgTimer.Start();
-    r = src - w;
-
-    gamma[0] = sqrt(norm2(r));
-
-    v[0] = (1. / gamma[0]) * r;
-    LinalgTimer.Stop();
-
-    for (int i=0; i<RestartLength; i++) {
-
-      IterationCount++;
-
-      arnoldiStep(LinOp, v, z, w, i);
-
-      qrUpdate(i);
-
-      cp = norm(gamma[i+1]);
-
-      std::cout << GridLogIterative << "FlexibleGeneralisedMinimalResidual: Iteration " << IterationCount
-                << " residual " << cp << " target " << rsq << std::endl;
-
-      if ((i == RestartLength - 1) || (IterationCount == MaxIterations) || (cp <= rsq)) {
-
-        computeSolution(z, psi, i);
-
-        return cp;
-      }
-    }
-
-    GRID_ASSERT(0); // Never reached
-    return cp;
-  }
-
-  void arnoldiStep(LinearOperatorBase<Field> &LinOp, std::vector<Field> &v, std::vector<Field> &z, Field &w, int iter) {
-
-    PrecTimer.Start();
-    Preconditioner(v[iter], z[iter]);
-    PrecTimer.Stop();
-
-    MatrixTimer.Start();
-    LinOp.Op(z[iter], w);
-    MatrixTimer.Stop();
-
-    LinalgTimer.Start();
-    for (int i = 0; i <= iter; ++i) {
-      H(iter, i) = innerProduct(v[i], w);
-      w = w - ComplexD(H(iter, i)) * v[i];
-    }
-
-    H(iter, iter + 1) = sqrt(norm2(w));
-    v[iter + 1] = ComplexD(1. / H(iter, iter + 1)) * w;
-    LinalgTimer.Stop();
-  }
-
-  void qrUpdate(int iter) {
-
-    QrTimer.Start();
-    for (int i = 0; i < iter ; ++i) {
-      auto tmp       = -s[i] * ComplexD(H(iter, i)) + c[i] * ComplexD(H(iter, i + 1));
-      H(iter, i)     = conjugate(c[i]) * ComplexD(H(iter, i)) + conjugate(s[i]) * ComplexD(H(iter, i + 1));
-      H(iter, i + 1) = tmp;
-    }
-
-    // Compute new Givens Rotation
-    auto nu = sqrt(std::norm(H(iter, iter)) + std::norm(H(iter, iter + 1)));
-    c[iter]     = H(iter, iter) / nu;
-    s[iter]     = H(iter, iter + 1) / nu;
-
-    // Apply new Givens rotation
-    H(iter, iter)     = nu;
-    H(iter, iter + 1) = 0.;
-
-    gamma[iter + 1] = -s[iter] * gamma[iter];
-    gamma[iter]     = conjugate(c[iter]) * gamma[iter];
-    QrTimer.Stop();
-  }
-
-  void computeSolution(std::vector<Field> const &z, Field &psi, int iter) {
-
-    CompSolutionTimer.Start();
-    for (int i = iter; i >= 0; i--) {
-      y[i] = gamma[i];
-      for (int k = i + 1; k <= iter; k++)
-        y[i] = y[i] - ComplexD(H(k, i)) * y[k];
-      y[i] = y[i] / ComplexD(H(i, i));
-    }
-
-    for (int i = 0; i <= iter; i++)
-      psi = psi + z[i] * y[i];
-    CompSolutionTimer.Stop();
-  }
-};
-}
-#endif

Grid/algorithms/iterative/GeneralisedMinimalResidual.h

@@ -1,244 +0,0 @@
-/*************************************************************************************
-
-Grid physics library, www.github.com/paboyle/Grid
-
-Source file: ./lib/algorithms/iterative/GeneralisedMinimalResidual.h
-
-Copyright (C) 2015
-
-Author: Daniel Richtmann <daniel.richtmann@ur.de>
-
-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 GRID_GENERALISED_MINIMAL_RESIDUAL_H
-#define GRID_GENERALISED_MINIMAL_RESIDUAL_H
-
-namespace Grid {
-
-template<class Field>
-class GeneralisedMinimalResidual : public OperatorFunction<Field> {
- public:
-  using OperatorFunction<Field>::operator();
-
-  bool ErrorOnNoConverge; // Throw an GRID_ASSERT when GMRES fails to converge,
-                          // defaults to true
-
-  RealD   Tolerance;
-
-  Integer MaxIterations;
-  Integer RestartLength;
-  Integer MaxNumberOfRestarts;
-  Integer IterationCount; // Number of iterations the GMRES took to finish,
-                          // filled in upon completion
-
-  GridStopWatch MatrixTimer;
-  GridStopWatch LinalgTimer;
-  GridStopWatch QrTimer;
-  GridStopWatch CompSolutionTimer;
-
-  Eigen::MatrixXcd H;
-
-  std::vector<ComplexD> y;
-  std::vector<ComplexD> gamma;
-  std::vector<ComplexD> c;
-  std::vector<ComplexD> s;
-
-  GeneralisedMinimalResidual(RealD   tol,
-                             Integer maxit,
-                             Integer restart_length,
-                             bool    err_on_no_conv = true)
-      : Tolerance(tol)
-      , MaxIterations(maxit)
-      , RestartLength(restart_length)
-      , MaxNumberOfRestarts(MaxIterations/RestartLength + ((MaxIterations%RestartLength == 0) ? 0 : 1))
-      , ErrorOnNoConverge(err_on_no_conv)
-      , H(Eigen::MatrixXcd::Zero(RestartLength, RestartLength + 1)) // sizes taken from DD-αAMG code base
-      , y(RestartLength + 1, 0.)
-      , gamma(RestartLength + 1, 0.)
-      , c(RestartLength + 1, 0.)
-      , s(RestartLength + 1, 0.) {};
-
-  void operator()(LinearOperatorBase<Field> &LinOp, const Field &src, Field &psi) {
-
-    psi.Checkerboard() = src.Checkerboard();
-    conformable(psi, src);
-
-    RealD guess = norm2(psi);
-    GRID_ASSERT(std::isnan(guess) == 0);
-
-    RealD cp;
-    RealD ssq = norm2(src);
-    RealD rsq = Tolerance * Tolerance * ssq;
-
-    Field r(src.Grid());
-
-    std::cout << std::setprecision(4) << std::scientific;
-    std::cout << GridLogIterative << "GeneralisedMinimalResidual: guess " << guess << std::endl;
-    std::cout << GridLogIterative << "GeneralisedMinimalResidual:   src " << ssq   << std::endl;
-
-    MatrixTimer.Reset();
-    LinalgTimer.Reset();
-    QrTimer.Reset();
-    CompSolutionTimer.Reset();
-
-    GridStopWatch SolverTimer;
-    SolverTimer.Start();
-
-    IterationCount = 0;
-
-    for (int k=0; k<MaxNumberOfRestarts; k++) {
-
-      cp = outerLoopBody(LinOp, src, psi, rsq);
-
-      // Stopping condition
-      if (cp <= rsq) {
-
-        SolverTimer.Stop();
-
-        LinOp.Op(psi,r);
-        axpy(r,-1.0,src,r);
-
-        RealD srcnorm       = sqrt(ssq);
-        RealD resnorm       = sqrt(norm2(r));
-        RealD true_residual = resnorm / srcnorm;
-
-        std::cout << GridLogMessage        << "GeneralisedMinimalResidual: Converged on iteration " << IterationCount
-                  << " computed residual " << sqrt(cp / ssq)
-                  << " true residual "     << true_residual
-                  << " target "            << Tolerance << std::endl;
-
-        std::cout << GridLogMessage << "GMRES Time elapsed: Total   " <<       SolverTimer.Elapsed() << std::endl;
-        std::cout << GridLogMessage << "GMRES Time elapsed: Matrix  " <<       MatrixTimer.Elapsed() << std::endl;
-        std::cout << GridLogMessage << "GMRES Time elapsed: Linalg  " <<       LinalgTimer.Elapsed() << std::endl;
-        std::cout << GridLogMessage << "GMRES Time elapsed: QR      " <<           QrTimer.Elapsed() << std::endl;
-        std::cout << GridLogMessage << "GMRES Time elapsed: CompSol " << CompSolutionTimer.Elapsed() << std::endl;
-        return;
-      }
-    }
-
-    std::cout << GridLogMessage << "GeneralisedMinimalResidual did NOT converge" << std::endl;
-
-    if (ErrorOnNoConverge)
-      GRID_ASSERT(0);
-  }
-
-  RealD outerLoopBody(LinearOperatorBase<Field> &LinOp, const Field &src, Field &psi, RealD rsq) {
-
-    RealD cp = 0;
-
-    Field w(src.Grid());
-    Field r(src.Grid());
-
-    // this should probably be made a class member so that it is only allocated once, not in every restart
-    std::vector<Field> v(RestartLength + 1, src.Grid()); for (auto &elem : v) elem = Zero();
-
-    MatrixTimer.Start();
-    LinOp.Op(psi, w);
-    MatrixTimer.Stop();
-
-    LinalgTimer.Start();
-    r = src - w;
-
-    gamma[0] = sqrt(norm2(r));
-
-    v[0] = (1. / gamma[0]) * r;
-    LinalgTimer.Stop();
-
-    for (int i=0; i<RestartLength; i++) {
-
-      IterationCount++;
-
-      arnoldiStep(LinOp, v, w, i);
-
-      qrUpdate(i);
-
-      cp = norm(gamma[i+1]);
-
-      std::cout << GridLogIterative << "GeneralisedMinimalResidual: Iteration " << IterationCount
-                << " residual " << cp << " target " << rsq << std::endl;
-
-      if ((i == RestartLength - 1) || (IterationCount == MaxIterations) || (cp <= rsq)) {
-
-        computeSolution(v, psi, i);
-
-        return cp;
-      }
-    }
-
-    GRID_ASSERT(0); // Never reached
-    return cp;
-  }
-
-  void arnoldiStep(LinearOperatorBase<Field> &LinOp, std::vector<Field> &v, Field &w, int iter) {
-
-    MatrixTimer.Start();
-    LinOp.Op(v[iter], w);
-    MatrixTimer.Stop();
-
-    LinalgTimer.Start();
-    for (int i = 0; i <= iter; ++i) {
-      H(iter, i) = innerProduct(v[i], w);
-      w = w - ComplexD(H(iter, i)) * v[i];
-    }
-
-    H(iter, iter + 1) = sqrt(norm2(w));
-    v[iter + 1] = ComplexD(1. / H(iter, iter + 1)) * w;
-    LinalgTimer.Stop();
-  }
-
-  void qrUpdate(int iter) {
-
-    QrTimer.Start();
-    for (int i = 0; i < iter ; ++i) {
-      auto tmp       = -s[i] * ComplexD(H(iter, i)) + c[i] * ComplexD(H(iter, i + 1));
-      H(iter, i)     = conjugate(c[i]) * ComplexD(H(iter, i)) + conjugate(s[i]) * ComplexD(H(iter, i + 1));
-      H(iter, i + 1) = tmp;
-    }
-
-    // Compute new Givens Rotation
-    auto nu = sqrt(std::norm(H(iter, iter)) + std::norm(H(iter, iter + 1)));
-    c[iter]     = H(iter, iter) / nu;
-    s[iter]     = H(iter, iter + 1) / nu;
-
-    // Apply new Givens rotation
-    H(iter, iter)     = nu;
-    H(iter, iter + 1) = 0.;
-
-    gamma[iter + 1] = -s[iter] * gamma[iter];
-    gamma[iter]     = conjugate(c[iter]) * gamma[iter];
-    QrTimer.Stop();
-  }
-
-  void computeSolution(std::vector<Field> const &v, Field &psi, int iter) {
-
-    CompSolutionTimer.Start();
-    for (int i = iter; i >= 0; i--) {
-      y[i] = gamma[i];
-      for (int k = i + 1; k <= iter; k++)
-        y[i] = y[i] - ComplexD(H(k, i)) * y[k];
-      y[i] = y[i] / ComplexD(H(i, i));
-    }
-
-    for (int i = 0; i <= iter; i++)
-      psi = psi + v[i] * y[i];
-    CompSolutionTimer.Stop();
-  }
-};
-}
-#endif

Grid/algorithms/iterative/ImplicitlyRestartedLanczos.h

@@ -35,7 +35,120 @@ Author: Christoph Lehner <clehner@bnl.gov>
 //#include <zlib.h>
 #include <sys/stat.h>
 
-NAMESPACE_BEGIN(Grid); 
+namespace Grid { 
+
+  ////////////////////////////////////////////////////////
+  // Move following 100 LOC to lattice/Lattice_basis.h
+  ////////////////////////////////////////////////////////
+template<class Field>
+void basisOrthogonalize(std::vector<Field> &basis,Field &w,int k) 
+{
+  for(int j=0; j<k; ++j){
+    auto ip = innerProduct(basis[j],w);
+    w = w - ip*basis[j];
+  }
+}
+
+template<class Field>
+void basisRotate(std::vector<Field> &basis,Eigen::MatrixXd& Qt,int j0, int j1, int k0,int k1,int Nm) 
+{
+  typedef typename Field::vector_object vobj;
+  GridBase* grid = basis[0]._grid;
+      
+  parallel_region
+  {
+
+    std::vector < vobj , commAllocator<vobj> > B(Nm); // Thread private
+       
+    parallel_for_internal(int ss=0;ss < grid->oSites();ss++){
+      for(int j=j0; j<j1; ++j) B[j]=0.;
+      
+      for(int j=j0; j<j1; ++j){
+	for(int k=k0; k<k1; ++k){
+	  B[j] +=Qt(j,k) * basis[k]._odata[ss];
+	}
+      }
+      for(int j=j0; j<j1; ++j){
+	  basis[j]._odata[ss] = B[j];
+      }
+    }
+  }
+}
+
+// Extract a single rotated vector
+template<class Field>
+void basisRotateJ(Field &result,std::vector<Field> &basis,Eigen::MatrixXd& Qt,int j, int k0,int k1,int Nm) 
+{
+  typedef typename Field::vector_object vobj;
+  GridBase* grid = basis[0]._grid;
+
+  result.checkerboard = basis[0].checkerboard;
+  parallel_for(int ss=0;ss < grid->oSites();ss++){
+    vobj B = zero;
+    for(int k=k0; k<k1; ++k){
+      B +=Qt(j,k) * basis[k]._odata[ss];
+    }
+    result._odata[ss] = B;
+  }
+}
+
+template<class Field>
+void basisReorderInPlace(std::vector<Field> &_v,std::vector<RealD>& sort_vals, std::vector<int>& idx) 
+{
+  int vlen = idx.size();
+
+  assert(vlen>=1);
+  assert(vlen<=sort_vals.size());
+  assert(vlen<=_v.size());
+
+  for (size_t i=0;i<vlen;i++) {
+
+    if (idx[i] != i) {
+
+      //////////////////////////////////////
+      // idx[i] is a table of desired sources giving a permutation.
+      // Swap v[i] with v[idx[i]].
+      // Find  j>i for which _vnew[j] = _vold[i],
+      // track the move idx[j] => idx[i]
+      // track the move idx[i] => i
+      //////////////////////////////////////
+      size_t j;
+      for (j=i;j<idx.size();j++)
+	if (idx[j]==i)
+	  break;
+
+      assert(idx[i] > i);     assert(j!=idx.size());      assert(idx[j]==i);
+
+      std::swap(_v[i]._odata,_v[idx[i]]._odata); // should use vector move constructor, no data copy
+      std::swap(sort_vals[i],sort_vals[idx[i]]);
+
+      idx[j] = idx[i];
+      idx[i] = i;
+    }
+  }
+}
+
+inline std::vector<int> basisSortGetIndex(std::vector<RealD>& sort_vals) 
+{
+  std::vector<int> idx(sort_vals.size());
+  std::iota(idx.begin(), idx.end(), 0);
+
+  // sort indexes based on comparing values in v
+  std::sort(idx.begin(), idx.end(), [&sort_vals](int i1, int i2) {
+    return ::fabs(sort_vals[i1]) < ::fabs(sort_vals[i2]);
+  });
+  return idx;
+}
+
+template<class Field>
+void basisSortInPlace(std::vector<Field> & _v,std::vector<RealD>& sort_vals, bool reverse) 
+{
+  std::vector<int> idx = basisSortGetIndex(sort_vals);
+  if (reverse)
+    std::reverse(idx.begin(), idx.end());
+  
+  basisReorderInPlace(_v,sort_vals,idx);
+}
 
 /////////////////////////////////////////////////////////////
 // Implicitly restarted lanczos
@@ -79,16 +192,14 @@ template<class Field> class ImplicitlyRestartedLanczosHermOpTester  : public Imp
     RealD vv = norm2(v) / ::pow(evalMaxApprox,2.0);
 
     std::cout.precision(13);
-
-    int conv=0;
-    if( (vv<eresid*eresid) ) conv = 1;
-
     std::cout<<GridLogIRL  << "[" << std::setw(3)<<j<<"] "
 	     <<"eval = "<<std::setw(25)<< eval << " (" << eval_poly << ")"
 	     <<" |H B[i] - eval[i]B[i]|^2 / evalMaxApprox^2 " << std::setw(25) << vv
-	     <<" target " << eresid*eresid << " conv " <<conv
 	     <<std::endl;
 
+    int conv=0;
+    if( (vv<eresid*eresid) ) conv = 1;
+
     return conv;
   }
 };
@@ -148,7 +259,7 @@ public:
 			    RealD _eresid, // resid in lmdue deficit 
 			    int _MaxIter, // Max iterations
 			    RealD _betastp=0.0, // if beta(k) < betastp: converged
-			    int _MinRestart=0, int _orth_period = 1,
+			    int _MinRestart=1, int _orth_period = 1,
 			    IRLdiagonalisation _diagonalisation= IRLdiagonaliseWithEigen) :
     SimpleTester(HermOp), _PolyOp(PolyOp),      _HermOp(HermOp), _Tester(Tester),
     Nstop(_Nstop)  ,      Nk(_Nk),      Nm(_Nm),
@@ -164,7 +275,7 @@ public:
 			       RealD _eresid, // resid in lmdue deficit 
 			       int _MaxIter, // Max iterations
 			       RealD _betastp=0.0, // if beta(k) < betastp: converged
-			       int _MinRestart=0, int _orth_period = 1,
+			       int _MinRestart=1, int _orth_period = 1,
 			       IRLdiagonalisation _diagonalisation= IRLdiagonaliseWithEigen) :
     SimpleTester(HermOp),  _PolyOp(PolyOp),      _HermOp(HermOp), _Tester(SimpleTester),
     Nstop(_Nstop)  ,      Nk(_Nk),      Nm(_Nm),
@@ -178,7 +289,7 @@ public:
   template<typename T>  static RealD normalise(T& v) 
   {
     RealD nn = norm2(v);
-    nn = std::sqrt(nn);
+    nn = sqrt(nn);
     v = v * (1.0/nn);
     return nn;
   }
@@ -210,10 +321,10 @@ until convergence
 */
   void calc(std::vector<RealD>& eval, std::vector<Field>& evec,  const Field& src, int& Nconv, bool reverse=false)
   {
-    GridBase *grid = src.Grid();
+    GridBase *grid = src._grid;
-    GRID_ASSERT(grid == evec[0].Grid());
+    assert(grid == evec[0]._grid);
     
-    //    GridLogIRL.TimingMode(1);
+    GridLogIRL.TimingMode(1);
     std::cout << GridLogIRL <<"**************************************************************************"<< std::endl;
     std::cout << GridLogIRL <<" ImplicitlyRestartedLanczos::calc() starting iteration 0 /  "<< MaxIter<< std::endl;
     std::cout << GridLogIRL <<"**************************************************************************"<< std::endl;
@@ -231,32 +342,27 @@ until convergence
     }
     std::cout << GridLogIRL <<"**************************************************************************"<< std::endl;
 	
-    GRID_ASSERT(Nm <= evec.size() && Nm <= eval.size());
+    assert(Nm <= evec.size() && Nm <= eval.size());
     
     // quickly get an idea of the largest eigenvalue to more properly normalize the residuum
     RealD evalMaxApprox = 0.0;
     {
       auto src_n = src;
       auto tmp = src;
-      std::cout << GridLogIRL << " IRL source norm " << norm2(src) << std::endl;
       const int _MAX_ITER_IRL_MEVAPP_ = 50;
       for (int i=0;i<_MAX_ITER_IRL_MEVAPP_;i++) {
 	normalise(src_n);
 	_HermOp(src_n,tmp);
-	//	std::cout << GridLogMessage<< tmp<<std::endl; exit(0);
+	RealD vnum = real(innerProduct(src_n,tmp)); // HermOp.
-	//	std::cout << GridLogIRL << " _HermOp " << norm2(tmp) << std::endl;
-//	RealD vnum = real(innerProduct(src_n,tmp)); // HermOp.
-	RealD vnum = real(innerProduct(tmp,tmp)); // HermOp^2.
 	RealD vden = norm2(src_n);
-	RealD na = std::sqrt(vnum/vden);
+	RealD na = vnum/vden;
-	if (fabs(evalMaxApprox/na - 1.0) < 0.0001)
+	if (fabs(evalMaxApprox/na - 1.0) < 0.05)
 	  i=_MAX_ITER_IRL_MEVAPP_;
 	evalMaxApprox = na;
 	std::cout << GridLogIRL << " Approximation of largest eigenvalue: " << evalMaxApprox << std::endl;
 	src_n = tmp;
       }
     }
-    std::cout << GridLogIRL << " Final evalMaxApprox  " << evalMaxApprox << std::endl;
 	
     std::vector<RealD> lme(Nm);  
     std::vector<RealD> lme2(Nm);
@@ -337,10 +443,10 @@ until convergence
       }
       std::cout<<GridLogIRL <<"QR decomposed "<<std::endl;
 
-      GRID_ASSERT(k2<Nm);      GRID_ASSERT(k2<Nm);      GRID_ASSERT(k1>0);
+      assert(k2<Nm);      assert(k2<Nm);      assert(k1>0);
 
       basisRotate(evec,Qt,k1-1,k2+1,0,Nm,Nm); /// big constraint on the basis
-      std::cout<<GridLogIRL <<"basisRotated  by Qt *"<<k1-1<<","<<k2+1<<")"<<std::endl;
+      std::cout<<GridLogIRL <<"basisRotated  by Qt"<<std::endl;
       
       ////////////////////////////////////////////////////
       // Compressed vector f and beta(k2)
@@ -348,7 +454,7 @@ until convergence
       f *= Qt(k2-1,Nm-1);
       f += lme[k2-1] * evec[k2];
       beta_k = norm2(f);
-      beta_k = std::sqrt(beta_k);
+      beta_k = sqrt(beta_k);
       std::cout<<GridLogIRL<<" beta(k) = "<<beta_k<<std::endl;
 	  
       RealD betar = 1.0/beta_k;
@@ -371,7 +477,7 @@ until convergence
 
 	std::cout << GridLogIRL << "Test convergence: rotate subset of vectors to test convergence " << std::endl;
 
-	Field B(grid); B.Checkerboard() = evec[0].Checkerboard();
+	Field B(grid); B.checkerboard = evec[0].checkerboard;
 
 	//  power of two search pattern;  not every evalue in eval2 is assessed.
 	int allconv =1;
@@ -409,7 +515,7 @@ until convergence
 	
   converged:
     {
-      Field B(grid); B.Checkerboard() = evec[0].Checkerboard();
+      Field B(grid); B.checkerboard = evec[0].checkerboard;
       basisRotate(evec,Qt,0,Nk,0,Nk,Nm);	    
       std::cout << GridLogIRL << " Rotated basis"<<std::endl;
       Nconv=0;
@@ -423,15 +529,14 @@ until convergence
 	}
       }
 
-      if ( Nconv < Nstop ) {
+      if ( Nconv < Nstop )
 	std::cout << GridLogIRL << "Nconv ("<<Nconv<<") < Nstop ("<<Nstop<<")"<<std::endl;
-	std::cout << GridLogIRL << "returning Nstop vectors, the last "<< Nstop-Nconv << "of which might meet convergence criterion only approximately" <<std::endl;
+
-      }
       eval=eval2;
       
       //Keep only converged
-      eval.resize(Nstop);// was Nconv
+      eval.resize(Nconv);// Nstop?
-      evec.resize(Nstop,grid);// was Nconv
+      evec.resize(Nconv,grid);// Nstop?
       basisSortInPlace(evec,eval,reverse);
       
     }
@@ -449,11 +554,11 @@ until convergence
 /* Saad PP. 195
 1. Choose an initial vector v1 of 2-norm unity. Set β1 ≡ 0, v0 ≡ 0
 2. For k = 1,2,...,m Do:
-3. wk:=Avk - b_k v_{k-1}      
+3. wk:=Avk−βkv_{k−1}      
-4. ak:=(wk,vk)       // 
+4. αk:=(wk,vk)       // 
-5. wk:=wk-akvk       // wk orthog vk 
+5. wk:=wk−αkvk       // wk orthog vk 
-6. bk+1 := ||wk||_2. If b_k+1 = 0 then Stop
+6. βk+1 := ∥wk∥2. If βk+1 = 0 then Stop
-7. vk+1 := wk/b_k+1
+7. vk+1 := wk/βk+1
 8. EndDo
  */
   void step(std::vector<RealD>& lmd,
@@ -461,41 +566,38 @@ until convergence
 	    std::vector<Field>& evec,
 	    Field& w,int Nm,int k)
   {
-    std::cout<<GridLogDebug << "Lanczos step " <<k<<std::endl;
     const RealD tiny = 1.0e-20;
-    GRID_ASSERT( k< Nm );
+    assert( k< Nm );
 
     GridStopWatch gsw_op,gsw_o;
 
     Field& evec_k = evec[k];
 
-    _PolyOp(evec_k,w);    std::cout<<GridLogDebug << "PolyOp" <<std::endl;
+    _PolyOp(evec_k,w);    std::cout<<GridLogIRL << "PolyOp" <<std::endl;
 
     if(k>0) w -= lme[k-1] * evec[k-1];
 
-    ComplexD zalph = innerProduct(evec_k,w);
+    ComplexD zalph = innerProduct(evec_k,w); // 4. αk:=(wk,vk)
     RealD     alph = real(zalph);
 
-    w = w - alph * evec_k;
+    w = w - alph * evec_k;// 5. wk:=wk−αkvk
 
-    RealD beta = normalise(w); 
+    RealD beta = normalise(w); // 6. βk+1 := ∥wk∥2. If βk+1 = 0 then Stop
+    // 7. vk+1 := wk/βk+1
 
     lmd[k] = alph;
     lme[k] = beta;
 
-    if ( (k>0) && ( (k % orth_period) == 0 )) {
+    if (k>0 && k % orth_period == 0) {
-      std::cout<<GridLogDebug << "Orthogonalising " <<k<<std::endl;
       orthogonalize(w,evec,k); // orthonormalise
-      std::cout<<GridLogDebug << "Orthogonalised " <<k<<std::endl;
+      std::cout<<GridLogIRL << "Orthogonalised " <<std::endl;
     }
 
     if(k < Nm-1) evec[k+1] = w;
 
-    std::cout<<GridLogIRL << "Lanczos step alpha[" << k << "] = " << zalph << " beta[" << k << "] = "<<beta<<std::endl;
+    std::cout<<GridLogIRL << "alpha[" << k << "] = " << zalph << " beta[" << k << "] = "<<beta<<std::endl;
     if ( beta < tiny ) 
       std::cout<<GridLogIRL << " beta is tiny "<<beta<<std::endl;
-
-    std::cout<<GridLogDebug << "Lanczos step complete " <<k<<std::endl;
   }
 
   void diagonalize_Eigen(std::vector<RealD>& lmd, std::vector<RealD>& lme, 
@@ -597,7 +699,7 @@ until convergence
     }  else if ( diagonalisation == IRLdiagonaliseWithEigen ) { 
       diagonalize_Eigen(lmd,lme,Nk,Nm,Qt,grid);
     } else { 
-      GRID_ASSERT(0);
+      assert(0);
     }
   }
 
@@ -687,7 +789,7 @@ void diagonalize_lapack(std::vector<RealD>& lmd,
     }
   }
 #else 
-  GRID_ASSERT(0);
+  assert(0);
 #endif
 }
 
@@ -705,7 +807,7 @@ void diagonalize_QR(std::vector<RealD>& lmd, std::vector<RealD>& lme,
     
     // determination of 2x2 leading submatrix
     RealD dsub = lmd[kmax-1]-lmd[kmax-2];
-    RealD dd = std::sqrt(dsub*dsub + 4.0*lme[kmax-2]*lme[kmax-2]);
+    RealD dd = sqrt(dsub*dsub + 4.0*lme[kmax-2]*lme[kmax-2]);
     RealD Dsh = 0.5*(lmd[kmax-2]+lmd[kmax-1] +dd*(dsub/fabs(dsub)));
     // (Dsh: shift)
     
@@ -736,6 +838,5 @@ void diagonalize_QR(std::vector<RealD>& lmd, std::vector<RealD>& lme,
   abort();
 }
 };
-
+}
-NAMESPACE_END(Grid);
 #endif

Grid/algorithms/iterative/LocalCoherenceLanczos.h

@@ -1,4 +1,4 @@
-/*************************************************************************************
+    /*************************************************************************************
 
     Grid physics library, www.github.com/paboyle/Grid 
 
@@ -24,15 +24,16 @@ Author: paboyle <paboyle@ph.ed.ac.uk>
     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 */
+    /*  END LEGAL */
 #ifndef GRID_LOCAL_COHERENCE_IRL_H
 #define GRID_LOCAL_COHERENCE_IRL_H
 
-NAMESPACE_BEGIN(Grid); 
+namespace Grid { 
+
 
 struct LanczosParams : Serializable {
-public:
+ public:
   GRID_SERIALIZABLE_CLASS_MEMBERS(LanczosParams,
 				  ChebyParams, Cheby,/*Chebyshev*/
 				  int, Nstop,    /*Vecs in Lanczos must converge Nstop < Nk < Nm*/
@@ -44,9 +45,8 @@ public:
 				  int, MinRes);    // Must restart
 };
 
-//This class is the input parameter class for some testing programs
 struct LocalCoherenceLanczosParams : Serializable {
-public:
+ public:
   GRID_SERIALIZABLE_CLASS_MEMBERS(LocalCoherenceLanczosParams,
 				  bool, saveEvecs,
 				  bool, doFine,
@@ -59,7 +59,7 @@ public:
 				  RealD        , coarse_relax_tol,
 				  std::vector<int>, blockSize,
 				  std::string, config,
-				  std::vector < ComplexD  >, omega,
+				  std::vector < std::complex<double>  >, omega,
 				  RealD, mass,
 				  RealD, M5);
 };
@@ -68,7 +68,6 @@ public:
 template<class Fobj,class CComplex,int nbasis>
 class ProjectedHermOp : public LinearFunction<Lattice<iVector<CComplex,nbasis > > > {
 public:
-  using LinearFunction<Lattice<iVector<CComplex,nbasis > > >::operator();
   typedef iVector<CComplex,nbasis >           CoarseSiteVector;
   typedef Lattice<CoarseSiteVector>           CoarseField;
   typedef Lattice<CComplex>   CoarseScalar; // used for inner products on fine field
@@ -80,18 +79,18 @@ public:
   ProjectedHermOp(LinearOperatorBase<FineField>& linop, std::vector<FineField> & _subspace) : 
     _Linop(linop), subspace(_subspace)
   {  
-    GRID_ASSERT(subspace.size() >0);
+    assert(subspace.size() >0);
   };
 
   void operator()(const CoarseField& in, CoarseField& out) {
-    GridBase *FineGrid = subspace[0].Grid();    
+    GridBase *FineGrid = subspace[0]._grid;    
-    int   checkerboard = subspace[0].Checkerboard();
+    int   checkerboard = subspace[0].checkerboard;
       
-    FineField fin (FineGrid);     fin.Checkerboard()= checkerboard;
+    FineField fin (FineGrid);     fin.checkerboard= checkerboard;
-    FineField fout(FineGrid);   fout.Checkerboard() = checkerboard;
+    FineField fout(FineGrid);   fout.checkerboard = checkerboard;
 
     blockPromote(in,fin,subspace);       std::cout<<GridLogIRL<<"ProjectedHermop : Promote to fine"<<std::endl;
-    _Linop.HermOp(fin,fout);                   std::cout<<GridLogIRL<<"ProjectedHermop : HermOp (fine) "<<std::endl;
+    _Linop.HermOp(fin,fout);             std::cout<<GridLogIRL<<"ProjectedHermop : HermOp (fine) "<<std::endl;
     blockProject(out,fout,subspace);     std::cout<<GridLogIRL<<"ProjectedHermop : Project to coarse "<<std::endl;
   }
 };
@@ -99,7 +98,6 @@ public:
 template<class Fobj,class CComplex,int nbasis>
 class ProjectedFunctionHermOp : public LinearFunction<Lattice<iVector<CComplex,nbasis > > > {
 public:
-  using LinearFunction<Lattice<iVector<CComplex,nbasis > > >::operator();
   typedef iVector<CComplex,nbasis >           CoarseSiteVector;
   typedef Lattice<CoarseSiteVector>           CoarseField;
   typedef Lattice<CComplex>   CoarseScalar; // used for inner products on fine field
@@ -120,11 +118,11 @@ public:
 
   void operator()(const CoarseField& in, CoarseField& out) {
     
-    GridBase *FineGrid = subspace[0].Grid();    
+    GridBase *FineGrid = subspace[0]._grid;    
-    int   checkerboard = subspace[0].Checkerboard();
+    int   checkerboard = subspace[0].checkerboard;
 
-    FineField fin (FineGrid); fin.Checkerboard() =checkerboard;
+    FineField fin (FineGrid); fin.checkerboard =checkerboard;
-    FineField fout(FineGrid);fout.Checkerboard() =checkerboard;
+    FineField fout(FineGrid);fout.checkerboard =checkerboard;
     
     blockPromote(in,fin,subspace);             std::cout<<GridLogIRL<<"ProjectedFunctionHermop : Promote to fine"<<std::endl;
     _poly(_Linop,fin,fout);                    std::cout<<GridLogIRL<<"ProjectedFunctionHermop : Poly "<<std::endl;
@@ -135,7 +133,7 @@ public:
 template<class Fobj,class CComplex,int nbasis>
 class ImplicitlyRestartedLanczosSmoothedTester  : public ImplicitlyRestartedLanczosTester<Lattice<iVector<CComplex,nbasis > > >
 {
-public:
+ public:
   typedef iVector<CComplex,nbasis >           CoarseSiteVector;
   typedef Lattice<CoarseSiteVector>           CoarseField;
   typedef Lattice<CComplex>   CoarseScalar; // used for inner products on fine field
@@ -144,26 +142,18 @@ public:
   LinearFunction<CoarseField> & _Poly;
   OperatorFunction<FineField>   & _smoother;
   LinearOperatorBase<FineField> &_Linop;
-  RealD                             _coarse_relax_tol;
+  RealD                          _coarse_relax_tol;
   std::vector<FineField>        &_subspace;
   
-  int _largestEvalIdxForReport; //The convergence of the LCL is based on the evals of the coarse grid operator, not those of the underlying fine grid operator
-                                //As a result we do not know what the eval range of the fine operator is until the very end, making tuning the Cheby bounds very difficult
-                                //To work around this issue, every restart we separately reconstruct the fine operator eval for the lowest and highest evec and print these
-                                //out alongside the evals of the coarse operator. To do so we need to know the index of the largest eval (i.e. Nstop-1)
-                                //NOTE: If largestEvalIdxForReport=-1 (default) then this is not performed
-  
   ImplicitlyRestartedLanczosSmoothedTester(LinearFunction<CoarseField>   &Poly,
 					   OperatorFunction<FineField>   &smoother,
 					   LinearOperatorBase<FineField> &Linop,
 					   std::vector<FineField>        &subspace,
-					   RealD coarse_relax_tol=5.0e3,
+					   RealD coarse_relax_tol=5.0e3) 
-					   int largestEvalIdxForReport=-1) 
     : _smoother(smoother), _Linop(Linop), _Poly(Poly), _subspace(subspace),
-      _coarse_relax_tol(coarse_relax_tol), _largestEvalIdxForReport(largestEvalIdxForReport)
+      _coarse_relax_tol(coarse_relax_tol)  
   {    };
 
-  //evalMaxApprox: approximation of largest eval of the fine Chebyshev operator (suitably wrapped by block projection)
   int TestConvergence(int j,RealD eresid,CoarseField &B, RealD &eval,RealD evalMaxApprox)
   {
     CoarseField v(B);
@@ -186,30 +176,16 @@ public:
 	     <<" |H B[i] - eval[i]B[i]|^2 / evalMaxApprox^2 " << std::setw(25) << vv
 	     <<std::endl;
 
-    if(_largestEvalIdxForReport != -1 && (j==0 || j==_largestEvalIdxForReport)){
-      std::cout<<GridLogIRL << "Estimating true eval of fine grid operator for eval idx " << j << std::endl;
-      RealD tmp_eval;
-      ReconstructEval(j,eresid,B,tmp_eval,1.0); //don't use evalMaxApprox of coarse operator! (cf below)
-    }
-    
     int conv=0;
     if( (vv<eresid*eresid) ) conv = 1;
     return conv;
   }
-
-  //This function is called at the end of the coarse grid Lanczos. It promotes the coarse eigenvector 'B' to the fine grid,
-  //applies a smoother to the result then computes the computes the *fine grid* eigenvalue (output as 'eval').
-
-  //evalMaxApprox should be the approximation of the largest eval of the fine Hermop. However when this function is called by IRL it actually passes the largest eval of the *Chebyshev* operator (as this is the max approx used for the TestConvergence above)
-  //As the largest eval of the Chebyshev is typically several orders of magnitude larger this makes the convergence test pass even when it should not.
-  //We therefore ignore evalMaxApprox here and use a value of 1.0 (note this value is already used by TestCoarse)
   int ReconstructEval(int j,RealD eresid,CoarseField &B, RealD &eval,RealD evalMaxApprox)
   {
-    evalMaxApprox = 1.0; //cf above
+    GridBase *FineGrid = _subspace[0]._grid;    
-    GridBase *FineGrid = _subspace[0].Grid();    
+    int checkerboard   = _subspace[0].checkerboard;
-    int checkerboard   = _subspace[0].Checkerboard();
+    FineField fB(FineGrid);fB.checkerboard =checkerboard;
-    FineField fB(FineGrid);fB.Checkerboard() =checkerboard;
+    FineField fv(FineGrid);fv.checkerboard =checkerboard;
-    FineField fv(FineGrid);fv.Checkerboard() =checkerboard;
 
     blockPromote(B,fv,_subspace);  
     
@@ -224,13 +200,13 @@ public:
     eval   = vnum/vden;
     fv -= eval*fB;
     RealD vv = norm2(fv) / ::pow(evalMaxApprox,2.0);
-    if ( j > nbasis ) eresid = eresid*_coarse_relax_tol;
 
     std::cout.precision(13);
     std::cout<<GridLogIRL  << "[" << std::setw(3)<<j<<"] "
 	     <<"eval = "<<std::setw(25)<< eval << " (" << eval_poly << ")"
-	     <<" |H B[i] - eval[i]B[i]|^2 / evalMaxApprox^2 " << std::setw(25) << vv << " target " << eresid*eresid
+	     <<" |H B[i] - eval[i]B[i]|^2 / evalMaxApprox^2 " << std::setw(25) << vv
 	     <<std::endl;
+    if ( j > nbasis ) eresid = eresid*_coarse_relax_tol;
     if( (vv<eresid*eresid) ) return 1;
     return 0;
   }
@@ -308,10 +284,6 @@ public:
     evals_coarse.resize(0);
   };
 
-  //The block inner product is the inner product on the fine grid locally summed over the blocks
-  //to give a Lattice<Scalar> on the coarse grid. This function orthnormalizes the fine-grid subspace
-  //vectors under the block inner product. This step must be performed after computing the fine grid
-  //eigenvectors and before computing the coarse grid eigenvectors.    
   void Orthogonalise(void ) {
     CoarseScalar InnerProd(_CoarseGrid);
     std::cout << GridLogMessage <<" Gramm-Schmidt pass 1"<<std::endl;
@@ -333,11 +305,11 @@ public:
     int Nk = nbasis;
     subspace.resize(Nk,_FineGrid);
     subspace[0]=1.0;
-    subspace[0].Checkerboard()=_checkerboard;
+    subspace[0].checkerboard=_checkerboard;
     normalise(subspace[0]);
     PlainHermOp<FineField>    Op(_FineOp);
     for(int k=1;k<Nk;k++){
-      subspace[k].Checkerboard()=_checkerboard;
+      subspace[k].checkerboard=_checkerboard;
       Op(subspace[k-1],subspace[k]);
       normalise(subspace[k]);
     }
@@ -346,21 +318,19 @@ public:
 
   void testFine(RealD resid) 
   {
-    GRID_ASSERT(evals_fine.size() == nbasis);
+    assert(evals_fine.size() == nbasis);
-    GRID_ASSERT(subspace.size() == nbasis);
+    assert(subspace.size() == nbasis);
     PlainHermOp<FineField>    Op(_FineOp);
     ImplicitlyRestartedLanczosHermOpTester<FineField> SimpleTester(Op);
     for(int k=0;k<nbasis;k++){
-      GRID_ASSERT(SimpleTester.ReconstructEval(k,resid,subspace[k],evals_fine[k],1.0)==1);
+      assert(SimpleTester.ReconstructEval(k,resid,subspace[k],evals_fine[k],1.0)==1);
     }
   }
 
-  //While this method serves to check the coarse eigenvectors, it also recomputes the eigenvalues from the smoothed reconstructed eigenvectors
-  //hence the smoother can be tuned after running the coarse Lanczos by using a different smoother here
   void testCoarse(RealD resid,ChebyParams cheby_smooth,RealD relax) 
   {
-    GRID_ASSERT(evals_fine.size() == nbasis);
+    assert(evals_fine.size() == nbasis);
-    GRID_ASSERT(subspace.size() == nbasis);
+    assert(subspace.size() == nbasis);
     //////////////////////////////////////////////////////////////////////////////////////////////////
     // create a smoother and see if we can get a cheap convergence test and smooth inside the IRL
     //////////////////////////////////////////////////////////////////////////////////////////////////
@@ -380,7 +350,7 @@ public:
   void calcFine(ChebyParams cheby_parms,int Nstop,int Nk,int Nm,RealD resid, 
 		RealD MaxIt, RealD betastp, int MinRes)
   {
-    GRID_ASSERT(nbasis<=Nm);
+    assert(nbasis<=Nm);
     Chebyshev<FineField>      Cheby(cheby_parms);
     FunctionHermOp<FineField> ChebyOp(Cheby,_FineOp);
     PlainHermOp<FineField>    Op(_FineOp);
@@ -390,65 +360,47 @@ public:
 
     ImplicitlyRestartedLanczos<FineField> IRL(ChebyOp,Op,Nstop,Nk,Nm,resid,MaxIt,betastp,MinRes);
 
-    FineField src(_FineGrid); 
+    FineField src(_FineGrid); src=1.0; src.checkerboard = _checkerboard;
-    typedef typename FineField::scalar_type Scalar;
-    // src=1.0; 
-    src=Scalar(1.0); 
-    src.Checkerboard() = _checkerboard;
 
     int Nconv;
     IRL.calc(evals_fine,subspace,src,Nconv,false);
     
     // Shrink down to number saved
-    GRID_ASSERT(Nstop>=nbasis);
+    assert(Nstop>=nbasis);
-    GRID_ASSERT(Nconv>=nbasis);
+    assert(Nconv>=nbasis);
     evals_fine.resize(nbasis);
     subspace.resize(nbasis,_FineGrid);
   }
-
-
-  //cheby_op: Parameters of the fine grid Chebyshev polynomial used for the Lanczos acceleration
-  //cheby_smooth: Parameters of a separate Chebyshev polynomial used after the Lanczos has completed to smooth out high frequency noise in the reconstructed fine grid eigenvectors prior to computing the eigenvalue
-  //relax: Reconstructed eigenvectors (post smoothing) are naturally not as precise as true eigenvectors. This factor acts as a multiplier on the stopping condition when determining whether the results satisfy the user provided stopping condition
   void calcCoarse(ChebyParams cheby_op,ChebyParams cheby_smooth,RealD relax,
 		  int Nstop, int Nk, int Nm,RealD resid, 
 		  RealD MaxIt, RealD betastp, int MinRes)
   {
-    Chebyshev<FineField>                          Cheby(cheby_op); //Chebyshev of fine operator on fine grid
+    Chebyshev<FineField>                          Cheby(cheby_op);
-    ProjectedHermOp<Fobj,CComplex,nbasis>         Op(_FineOp,subspace); //Fine operator on coarse grid with intermediate fine grid conversion
+    ProjectedHermOp<Fobj,CComplex,nbasis>         Op(_FineOp,subspace);
-    ProjectedFunctionHermOp<Fobj,CComplex,nbasis> ChebyOp (Cheby,_FineOp,subspace); //Chebyshev of fine operator on coarse grid with intermediate fine grid conversion
+    ProjectedFunctionHermOp<Fobj,CComplex,nbasis> ChebyOp (Cheby,_FineOp,subspace);
     //////////////////////////////////////////////////////////////////////////////////////////////////
     // create a smoother and see if we can get a cheap convergence test and smooth inside the IRL
     //////////////////////////////////////////////////////////////////////////////////////////////////
 
-    Chebyshev<FineField>                                           ChebySmooth(cheby_smooth); //lower order Chebyshev of fine operator on fine grid used to smooth regenerated eigenvectors
+    Chebyshev<FineField>                                           ChebySmooth(cheby_smooth);
-    ImplicitlyRestartedLanczosSmoothedTester<Fobj,CComplex,nbasis> ChebySmoothTester(ChebyOp,ChebySmooth,_FineOp,subspace,relax,Nstop-1); 
+    ImplicitlyRestartedLanczosSmoothedTester<Fobj,CComplex,nbasis> ChebySmoothTester(ChebyOp,ChebySmooth,_FineOp,subspace,relax);
 
     evals_coarse.resize(Nm);
     evec_coarse.resize(Nm,_CoarseGrid);
 
     CoarseField src(_CoarseGrid);     src=1.0; 
 
-    //Note the "tester" here is also responsible for generating the fine grid eigenvalues which are output into the "evals_coarse" array
     ImplicitlyRestartedLanczos<CoarseField> IRL(ChebyOp,ChebyOp,ChebySmoothTester,Nstop,Nk,Nm,resid,MaxIt,betastp,MinRes);
     int Nconv=0;
     IRL.calc(evals_coarse,evec_coarse,src,Nconv,false);
-    GRID_ASSERT(Nconv>=Nstop);
+    assert(Nconv>=Nstop);
     evals_coarse.resize(Nstop);
     evec_coarse.resize (Nstop,_CoarseGrid);
     for (int i=0;i<Nstop;i++){
       std::cout << i << " Coarse eval = " << evals_coarse[i]  << std::endl;
     }
   }
-
-  //Get the fine eigenvector 'i' by reconstruction
-  void getFineEvecEval(FineField &evec, RealD &eval, const int i) const{
-    blockPromote(evec_coarse[i],evec,subspace);  
-    eval = evals_coarse[i];
-  }
-    
-    
 };
 
-NAMESPACE_END(Grid);
+}
 #endif

Grid/algorithms/iterative/MinimalResidual.h

@@ -1,157 +0,0 @@
-/*************************************************************************************
-
-Grid physics library, www.github.com/paboyle/Grid
-
-Source file: ./lib/algorithms/iterative/MinimalResidual.h
-
-Copyright (C) 2015
-
-Author: Daniel Richtmann <daniel.richtmann@ur.de>
-
-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 GRID_MINIMAL_RESIDUAL_H
-#define GRID_MINIMAL_RESIDUAL_H
-
-namespace Grid {
-
-template<class Field> class MinimalResidual : public OperatorFunction<Field> {
- public:
-  using OperatorFunction<Field>::operator();
-
-  bool ErrorOnNoConverge; // throw an GRID_ASSERT when the MR fails to converge.
-                          // Defaults true.
-  RealD   Tolerance;
-  Integer MaxIterations;
-  RealD   overRelaxParam;
-  Integer IterationsToComplete; // Number of iterations the MR took to finish.
-                                // Filled in upon completion
-
-  MinimalResidual(RealD tol, Integer maxit, Real ovrelparam = 1.0, bool err_on_no_conv = true)
-    : Tolerance(tol), MaxIterations(maxit), overRelaxParam(ovrelparam), ErrorOnNoConverge(err_on_no_conv){};
-
-  void operator()(LinearOperatorBase<Field> &Linop, const Field &src, Field &psi) {
-
-    psi.Checkerboard() = src.Checkerboard();
-    conformable(psi, src);
-
-    ComplexD a, c;
-    RealD    d;
-
-    Field Mr(src);
-    Field r(src);
-
-    // Initial residual computation & set up
-    RealD guess = norm2(psi);
-    GRID_ASSERT(std::isnan(guess) == 0);
-
-    RealD ssq = norm2(src);
-    RealD rsq = Tolerance * Tolerance * ssq;
-
-    Linop.Op(psi, Mr);
-
-    r = src - Mr;
-
-    RealD cp = norm2(r);
-
-    std::cout << std::setprecision(4) << std::scientific;
-    std::cout << GridLogIterative << "MinimalResidual: guess " << guess << std::endl;
-    std::cout << GridLogIterative << "MinimalResidual:   src " << ssq << std::endl;
-    std::cout << GridLogIterative << "MinimalResidual:  cp,r " << cp << std::endl;
-
-    if (cp <= rsq) {
-      return;
-    }
-
-    std::cout << GridLogIterative << "MinimalResidual: k=0 residual " << cp << " target " << rsq << std::endl;
-
-    GridStopWatch LinalgTimer;
-    GridStopWatch MatrixTimer;
-    GridStopWatch SolverTimer;
-
-    SolverTimer.Start();
-    int k;
-    for (k = 1; k <= MaxIterations; k++) {
-
-      MatrixTimer.Start();
-      Linop.Op(r, Mr);
-      MatrixTimer.Stop();
-
-      LinalgTimer.Start();
-
-      c = innerProduct(Mr, r);
-
-      d = norm2(Mr);
-
-      a = c / d;
-
-      a = a * overRelaxParam;
-
-      psi = psi + r * a;
-
-      r = r - Mr * a;
-
-      cp = norm2(r);
-
-      LinalgTimer.Stop();
-
-      std::cout << GridLogIterative << "MinimalResidual: Iteration " << k
-                << " residual " << cp << " target " << rsq << std::endl;
-      std::cout << GridLogDebug << "a = " << a << " c = " << c << " d = " << d << std::endl;
-
-      // Stopping condition
-      if (cp <= rsq) {
-        SolverTimer.Stop();
-
-        Linop.Op(psi, Mr);
-        r = src - Mr;
-
-        RealD srcnorm       = sqrt(ssq);
-        RealD resnorm       = sqrt(norm2(r));
-        RealD true_residual = resnorm / srcnorm;
-
-        std::cout << GridLogMessage        << "MinimalResidual Converged on iteration " << k
-                  << " computed residual " << sqrt(cp / ssq)
-                  << " true residual "     << true_residual
-                  << " target "            << Tolerance << std::endl;
-
-        std::cout << GridLogMessage << "MR Time elapsed: Total   " << SolverTimer.Elapsed() << std::endl;
-        std::cout << GridLogMessage << "MR Time elapsed: Matrix  " << MatrixTimer.Elapsed() << std::endl;
-        std::cout << GridLogMessage << "MR Time elapsed: Linalg  " << LinalgTimer.Elapsed() << std::endl;
-
-        if (ErrorOnNoConverge)
-          GRID_ASSERT(true_residual / Tolerance < 10000.0);
-
-        IterationsToComplete = k;
-
-        return;
-      }
-    }
-
-    std::cout << GridLogMessage << "MinimalResidual did NOT converge"
-              << std::endl;
-
-    if (ErrorOnNoConverge)
-      GRID_ASSERT(0);
-
-    IterationsToComplete = k;
-  }
-};
-} // namespace Grid
-#endif

Grid/algorithms/iterative/MixedPrecisionFlexibleGeneralisedMinimalResidual.h

@@ -1,276 +0,0 @@
-/*************************************************************************************
-
-Grid physics library, www.github.com/paboyle/Grid
-
-Source file: ./lib/algorithms/iterative/MixedPrecisionFlexibleGeneralisedMinimalResidual.h
-
-Copyright (C) 2015
-
-Author: Daniel Richtmann <daniel.richtmann@ur.de>
-
-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 GRID_MIXED_PRECISION_FLEXIBLE_GENERALISED_MINIMAL_RESIDUAL_H
-#define GRID_MIXED_PRECISION_FLEXIBLE_GENERALISED_MINIMAL_RESIDUAL_H
-
-namespace Grid {
-
-template<class FieldD, class FieldF, typename std::enable_if<getPrecision<FieldD>::value == 2, int>::type = 0, typename std::enable_if< getPrecision<FieldF>::value == 1, int>::type = 0>
-class MixedPrecisionFlexibleGeneralisedMinimalResidual : public OperatorFunction<FieldD> {
- public:
-
-  using OperatorFunction<FieldD>::operator();
-
-  bool ErrorOnNoConverge; // Throw an GRID_ASSERT when MPFGMRES fails to converge,
-                          // defaults to true
-
-  RealD   Tolerance;
-
-  Integer MaxIterations;
-  Integer RestartLength;
-  Integer MaxNumberOfRestarts;
-  Integer IterationCount; // Number of iterations the MPFGMRES took to finish,
-                          // filled in upon completion
-
-  GridStopWatch MatrixTimer;
-  GridStopWatch PrecTimer;
-  GridStopWatch LinalgTimer;
-  GridStopWatch QrTimer;
-  GridStopWatch CompSolutionTimer;
-  GridStopWatch ChangePrecTimer;
-
-  Eigen::MatrixXcd H;
-
-  std::vector<ComplexD> y;
-  std::vector<ComplexD> gamma;
-  std::vector<ComplexD> c;
-  std::vector<ComplexD> s;
-
-  GridBase* SinglePrecGrid;
-
-  LinearFunction<FieldF> &Preconditioner;
-
-  MixedPrecisionFlexibleGeneralisedMinimalResidual(RealD   tol,
-                                                   Integer maxit,
-                                                   GridBase * sp_grid,
-                                                   LinearFunction<FieldF> &Prec,
-                                                   Integer restart_length,
-                                                   bool    err_on_no_conv = true)
-      : Tolerance(tol)
-      , MaxIterations(maxit)
-      , RestartLength(restart_length)
-      , MaxNumberOfRestarts(MaxIterations/RestartLength + ((MaxIterations%RestartLength == 0) ? 0 : 1))
-      , ErrorOnNoConverge(err_on_no_conv)
-      , H(Eigen::MatrixXcd::Zero(RestartLength, RestartLength + 1)) // sizes taken from DD-αAMG code base
-      , y(RestartLength + 1, 0.)
-      , gamma(RestartLength + 1, 0.)
-      , c(RestartLength + 1, 0.)
-      , s(RestartLength + 1, 0.)
-      , SinglePrecGrid(sp_grid)
-      , Preconditioner(Prec) {};
-
-  void operator()(LinearOperatorBase<FieldD> &LinOp, const FieldD &src, FieldD &psi) {
-
-    psi.Checkerboard() = src.Checkerboard();
-    conformable(psi, src);
-
-    RealD guess = norm2(psi);
-    GRID_ASSERT(std::isnan(guess) == 0);
-
-    RealD cp;
-    RealD ssq = norm2(src);
-    RealD rsq = Tolerance * Tolerance * ssq;
-
-    FieldD r(src.Grid());
-
-    std::cout << std::setprecision(4) << std::scientific;
-    std::cout << GridLogIterative << "MPFGMRES: guess " << guess << std::endl;
-    std::cout << GridLogIterative << "MPFGMRES:   src " << ssq   << std::endl;
-
-    PrecTimer.Reset();
-    MatrixTimer.Reset();
-    LinalgTimer.Reset();
-    QrTimer.Reset();
-    CompSolutionTimer.Reset();
-    ChangePrecTimer.Reset();
-
-    GridStopWatch SolverTimer;
-    SolverTimer.Start();
-
-    IterationCount = 0;
-
-    for (int k=0; k<MaxNumberOfRestarts; k++) {
-
-      cp = outerLoopBody(LinOp, src, psi, rsq);
-
-      // Stopping condition
-      if (cp <= rsq) {
-
-        SolverTimer.Stop();
-
-        LinOp.Op(psi,r);
-        axpy(r,-1.0,src,r);
-
-        RealD srcnorm       = sqrt(ssq);
-        RealD resnorm       = sqrt(norm2(r));
-        RealD true_residual = resnorm / srcnorm;
-
-        std::cout << GridLogMessage        << "MPFGMRES: Converged on iteration " << IterationCount
-                  << " computed residual " << sqrt(cp / ssq)
-                  << " true residual "     << true_residual
-                  << " target "            << Tolerance << std::endl;
-
-        std::cout << GridLogMessage << "MPFGMRES Time elapsed: Total      " <<       SolverTimer.Elapsed() << std::endl;
-        std::cout << GridLogMessage << "MPFGMRES Time elapsed: Precon     " <<         PrecTimer.Elapsed() << std::endl;
-        std::cout << GridLogMessage << "MPFGMRES Time elapsed: Matrix     " <<       MatrixTimer.Elapsed() << std::endl;
-        std::cout << GridLogMessage << "MPFGMRES Time elapsed: Linalg     " <<       LinalgTimer.Elapsed() << std::endl;
-        std::cout << GridLogMessage << "MPFGMRES Time elapsed: QR         " <<           QrTimer.Elapsed() << std::endl;
-        std::cout << GridLogMessage << "MPFGMRES Time elapsed: CompSol    " << CompSolutionTimer.Elapsed() << std::endl;
-        std::cout << GridLogMessage << "MPFGMRES Time elapsed: PrecChange " <<   ChangePrecTimer.Elapsed() << std::endl;
-        return;
-      }
-    }
-
-    std::cout << GridLogMessage << "MPFGMRES did NOT converge" << std::endl;
-
-    if (ErrorOnNoConverge)
-      GRID_ASSERT(0);
-  }
-
-  RealD outerLoopBody(LinearOperatorBase<FieldD> &LinOp, const FieldD &src, FieldD &psi, RealD rsq) {
-
-    RealD cp = 0;
-
-    FieldD w(src.Grid());
-    FieldD r(src.Grid());
-
-    // these should probably be made class members so that they are only allocated once, not in every restart
-    std::vector<FieldD> v(RestartLength + 1, src.Grid()); for (auto &elem : v) elem = Zero();
-    std::vector<FieldD> z(RestartLength + 1, src.Grid()); for (auto &elem : z) elem = Zero();
-
-    MatrixTimer.Start();
-    LinOp.Op(psi, w);
-    MatrixTimer.Stop();
-
-    LinalgTimer.Start();
-    r = src - w;
-
-    gamma[0] = sqrt(norm2(r));
-
-    v[0] = (1. / gamma[0]) * r;
-    LinalgTimer.Stop();
-
-    for (int i=0; i<RestartLength; i++) {
-
-      IterationCount++;
-
-      arnoldiStep(LinOp, v, z, w, i);
-
-      qrUpdate(i);
-
-      cp = norm(gamma[i+1]);
-
-      std::cout << GridLogIterative << "MPFGMRES: Iteration " << IterationCount
-                << " residual " << cp << " target " << rsq << std::endl;
-
-      if ((i == RestartLength - 1) || (IterationCount == MaxIterations) || (cp <= rsq)) {
-
-        computeSolution(z, psi, i);
-
-        return cp;
-      }
-    }
-
-    GRID_ASSERT(0); // Never reached
-    return cp;
-  }
-
-  void arnoldiStep(LinearOperatorBase<FieldD> &LinOp, std::vector<FieldD> &v, std::vector<FieldD> &z, FieldD &w, int iter) {
-
-    FieldF v_f(SinglePrecGrid);
-    FieldF z_f(SinglePrecGrid);
-
-    ChangePrecTimer.Start();
-    precisionChange(v_f, v[iter]);
-    precisionChange(z_f, z[iter]);
-    ChangePrecTimer.Stop();
-
-    PrecTimer.Start();
-    Preconditioner(v_f, z_f);
-    PrecTimer.Stop();
-
-    ChangePrecTimer.Start();
-    precisionChange(z[iter], z_f);
-    ChangePrecTimer.Stop();
-
-    MatrixTimer.Start();
-    LinOp.Op(z[iter], w);
-    MatrixTimer.Stop();
-
-    LinalgTimer.Start();
-    for (int i = 0; i <= iter; ++i) {
-      H(iter, i) = innerProduct(v[i], w);
-      w = w - ComplexD(H(iter, i)) * v[i];
-    }
-
-    H(iter, iter + 1) = sqrt(norm2(w));
-    v[iter + 1] = ComplexD(1. / H(iter, iter + 1)) * w;
-    LinalgTimer.Stop();
-  }
-
-  void qrUpdate(int iter) {
-
-    QrTimer.Start();
-    for (int i = 0; i < iter ; ++i) {
-      auto tmp       = -s[i] * ComplexD(H(iter, i)) + c[i] * ComplexD(H(iter, i + 1));
-      H(iter, i)     = conjugate(c[i]) * ComplexD(H(iter, i)) + conjugate(s[i]) * ComplexD(H(iter, i + 1));
-      H(iter, i + 1) = tmp;
-    }
-
-    // Compute new Givens Rotation
-    auto nu = sqrt(std::norm(H(iter, iter)) + std::norm(H(iter, iter + 1)));
-    c[iter]     = H(iter, iter) / nu;
-    s[iter]     = H(iter, iter + 1) / nu;
-
-    // Apply new Givens rotation
-    H(iter, iter)     = nu;
-    H(iter, iter + 1) = 0.;
-
-    gamma[iter + 1] = -s[iter] * gamma[iter];
-    gamma[iter]     = conjugate(c[iter]) * gamma[iter];
-    QrTimer.Stop();
-  }
-
-  void computeSolution(std::vector<FieldD> const &z, FieldD &psi, int iter) {
-
-    CompSolutionTimer.Start();
-    for (int i = iter; i >= 0; i--) {
-      y[i] = gamma[i];
-      for (int k = i + 1; k <= iter; k++)
-        y[i] = y[i] - ComplexD(H(k, i)) * y[k];
-      y[i] = y[i] / ComplexD(H(i, i));
-    }
-
-    for (int i = 0; i <= iter; i++)
-      psi = psi + z[i] * y[i];
-    CompSolutionTimer.Stop();
-  }
-};
-}
-#endif

Grid/algorithms/iterative/NormalEquations.h

@@ -1,4 +1,4 @@
-/*************************************************************************************
+    /*************************************************************************************
 
     Grid physics library, www.github.com/paboyle/Grid 
 
@@ -23,116 +23,38 @@ Author: Peter Boyle <paboyle@ph.ed.ac.uk>
     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 */
+    /*  END LEGAL */
 #ifndef GRID_NORMAL_EQUATIONS_H
 #define GRID_NORMAL_EQUATIONS_H
 
-NAMESPACE_BEGIN(Grid);
+namespace Grid {
 
-///////////////////////////////////////////////////////////////////////////////////////////////////////
+  ///////////////////////////////////////////////////////////////////////////////////////////////////////
-// Take a matrix and form an NE solver calling a Herm solver
+  // Take a matrix and form an NE solver calling a Herm solver
-///////////////////////////////////////////////////////////////////////////////////////////////////////
+  ///////////////////////////////////////////////////////////////////////////////////////////////////////
-template<class Field> class NormalEquations : public LinearFunction<Field>{
+  template<class Field> class NormalEquations : public OperatorFunction<Field>{
-private:
+  private:
-  SparseMatrixBase<Field> & _Matrix;
+    SparseMatrixBase<Field> & _Matrix;
-  OperatorFunction<Field> & _HermitianSolver;
+    OperatorFunction<Field> & _HermitianSolver;
-  LinearFunction<Field>   & _Guess;
-public:
 
-  /////////////////////////////////////////////////////
+  public:
-  // Wrap the usual normal equations trick
-  /////////////////////////////////////////////////////
- NormalEquations(SparseMatrixBase<Field> &Matrix, OperatorFunction<Field> &HermitianSolver,
-		 LinearFunction<Field> &Guess) 
-   :  _Matrix(Matrix), _HermitianSolver(HermitianSolver), _Guess(Guess) {}; 
 
-  void operator() (const Field &in, Field &out){
+    /////////////////////////////////////////////////////
+    // Wrap the usual normal equations trick
+    /////////////////////////////////////////////////////
+  NormalEquations(SparseMatrixBase<Field> &Matrix, OperatorFunction<Field> &HermitianSolver) 
+    :  _Matrix(Matrix), _HermitianSolver(HermitianSolver) {}; 
 
-    Field src(in.Grid());
+    void operator() (const Field &in, Field &out){
-    Field tmp(in.Grid());
  
-    MdagMLinearOperator<SparseMatrixBase<Field>,Field> MdagMOp(_Matrix);
+      Field src(in._grid);
-    _Matrix.Mdag(in,src);
-    _Guess(src,out);
-    _HermitianSolver(MdagMOp,src,out);  // Mdag M out = Mdag in
 
-  }     
+      _Matrix.Mdag(in,src);
-};
+      _HermitianSolver(src,out);  // Mdag M out = Mdag in
  
-template<class Field> class NormalResidual : public LinearFunction<Field>{
+    }     
-private:
+  };
-  SparseMatrixBase<Field> & _Matrix;
-  OperatorFunction<Field> & _HermitianSolver;
-  LinearFunction<Field>   & _Guess;
-public:
 
-  /////////////////////////////////////////////////////
+}
-  // Wrap the usual normal equations trick
-  /////////////////////////////////////////////////////
- NormalResidual(SparseMatrixBase<Field> &Matrix, OperatorFunction<Field> &HermitianSolver,
-		 LinearFunction<Field> &Guess) 
-   :  _Matrix(Matrix), _HermitianSolver(HermitianSolver), _Guess(Guess) {}; 
-
-  void operator() (const Field &in, Field &out){
- 
-    Field res(in.Grid());
-    Field tmp(in.Grid());
-
-    MMdagLinearOperator<SparseMatrixBase<Field>,Field> MMdagOp(_Matrix);
-    _Guess(in,res);
-    _HermitianSolver(MMdagOp,in,res);  // M Mdag res = in ;
-    _Matrix.Mdag(res,out);             // out = Mdag res
-  }     
-};
-
-template<class Field> class HPDSolver : public LinearFunction<Field> {
-private:
-  LinearOperatorBase<Field> & _Matrix;
-  OperatorFunction<Field> & _HermitianSolver;
-  LinearFunction<Field>   & _Guess;
-public:
-
-  /////////////////////////////////////////////////////
-  // Wrap the usual normal equations trick
-  /////////////////////////////////////////////////////
- HPDSolver(LinearOperatorBase<Field> &Matrix,
-	   OperatorFunction<Field> &HermitianSolver,
-	   LinearFunction<Field> &Guess) 
-   :  _Matrix(Matrix), _HermitianSolver(HermitianSolver), _Guess(Guess) {}; 
-
-  void operator() (const Field &in, Field &out){
- 
-    _Guess(in,out);
-    _HermitianSolver(_Matrix,in,out);  //M out = in
-
-  }     
-};
-
-
-template<class Field> class MdagMSolver : public LinearFunction<Field> {
-private:
-  SparseMatrixBase<Field> & _Matrix;
-  OperatorFunction<Field> & _HermitianSolver;
-  LinearFunction<Field>   & _Guess;
-public:
-
-  /////////////////////////////////////////////////////
-  // Wrap the usual normal equations trick
-  /////////////////////////////////////////////////////
- MdagMSolver(SparseMatrixBase<Field> &Matrix, OperatorFunction<Field> &HermitianSolver,
-	     LinearFunction<Field> &Guess) 
-   :  _Matrix(Matrix), _HermitianSolver(HermitianSolver), _Guess(Guess) {}; 
-
-  void operator() (const Field &in, Field &out){
- 
-    MdagMLinearOperator<SparseMatrixBase<Field>,Field> MdagMOp(_Matrix);
-    _Guess(in,out);
-
-    _HermitianSolver(MdagMOp,in,out);  // Mdag M out = Mdag in
-
-  }     
-};
-
-NAMESPACE_END(Grid);
 #endif

Grid/algorithms/iterative/PowerMethod.h

@@ -1,46 +0,0 @@
-#pragma once
-namespace Grid {
-template<class Field> class PowerMethod  
-{ 
- public: 
-
-  template<typename T>  static RealD normalise(T& v) 
-  {
-    RealD nn = norm2(v);
-    nn = sqrt(nn);
-    v = v * (1.0/nn);
-    return nn;
-  }
-
-  RealD operator()(LinearOperatorBase<Field> &HermOp, const Field &src) 
-  { 
-    GridBase *grid = src.Grid(); 
-    
-    // quickly get an idea of the largest eigenvalue to more properly normalize the residuum 
-    RealD evalMaxApprox = 0.0; 
-    auto src_n = src; 
-    auto tmp = src; 
-    const int _MAX_ITER_EST_ = 200; 
-
-    for (int i=0;i<_MAX_ITER_EST_;i++) { 
-      
-      normalise(src_n); 
-      HermOp.HermOp(src_n,tmp); 
-      RealD vnum = real(innerProduct(src_n,tmp)); // HermOp. 
-      RealD vden = norm2(src_n); 
-      RealD na = vnum/vden; 
-
-      std::cout << GridLogMessage << "PowerMethod: Current approximation of largest eigenvalue " << na << std::endl;
-      
-      //      if ( (fabs(evalMaxApprox/na - 1.0) < 0.0001) || (i==_MAX_ITER_EST_-1) ) { 
-	// 	evalMaxApprox = na; 
-	// 	return evalMaxApprox; 
-      //      } 
-      evalMaxApprox = na; 
-      src_n = tmp;
-    }
-    std::cout << GridLogMessage << " Approximation of largest eigenvalue: " << evalMaxApprox << std::endl;
-    return evalMaxApprox;
-  }
-};
-}

Grid/algorithms/iterative/PowerSpectrum.h

@@ -1,76 +0,0 @@
-#pragma once
-namespace Grid {
-
-class Band
-{
-  RealD lo, hi;
-public:
-  Band(RealD _lo,RealD _hi)
-  {
-    lo=_lo;
-    hi=_hi;
-  }
-  RealD operator() (RealD x){
-    if ( x>lo && x<hi ){
-      return 1.0;
-    } else {
-      return 0.0;
-    }
-  }
-};
-
-class PowerSpectrum
-{ 
- public: 
-
-  template<typename T>  static RealD normalise(T& v) 
-  {
-    RealD nn = norm2(v);
-    nn = sqrt(nn);
-    v = v * (1.0/nn);
-    return nn;
-  }
-
-  std::vector<RealD> ranges;
-  std::vector<int> order;
-  
-  PowerSpectrum(  std::vector<RealD> &bins, std::vector<int> &_order ) : ranges(bins), order(_order)  { };
-
-  template<class Field>
-  RealD operator()(LinearOperatorBase<Field> &HermOp, const Field &src) 
-  { 
-    GridBase *grid = src.Grid(); 
-    int N=ranges.size();
-    RealD hi = ranges[N-1];
-
-    RealD lo_band = 0.0;
-    RealD hi_band;
-    RealD nn=norm2(src);
-    RealD ss=0.0;
-
-    Field tmp = src;
-
-    for(int b=0;b<N;b++){
-      hi_band = ranges[b];
-      Band Notch(lo_band,hi_band);
-      
-      Chebyshev<Field> polynomial;
-      polynomial.Init(0.0,hi,order[b],Notch);
-      polynomial.JacksonSmooth();
-
-      polynomial(HermOp,src,tmp) ;
-
-      RealD p=norm2(tmp);
-      ss=ss+p;
-      std::cout << GridLogMessage << " PowerSpectrum Band["<<lo_band<<","<<hi_band<<"] power "<<norm2(tmp)/nn<<std::endl;
-      
-      lo_band=hi_band;
-    }
-    std::cout << GridLogMessage << " PowerSpectrum total power "<<ss/nn<<std::endl;
-    std::cout << GridLogMessage << " PowerSpectrum total power (unnormalised) "<<nn<<std::endl;
-
-    return 0;
-  };
-};
-  
-}

Grid/algorithms/iterative/PrecConjugateResidual.h

@@ -1,4 +1,4 @@
-/*************************************************************************************
+    /*************************************************************************************
 
     Grid physics library, www.github.com/paboyle/Grid 
 
@@ -23,97 +23,97 @@ Author: Peter Boyle <paboyle@ph.ed.ac.uk>
     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 */
+    /*  END LEGAL */
 #ifndef GRID_PREC_CONJUGATE_RESIDUAL_H
 #define GRID_PREC_CONJUGATE_RESIDUAL_H
 
-NAMESPACE_BEGIN(Grid);
+namespace Grid {
 
-/////////////////////////////////////////////////////////////
+    /////////////////////////////////////////////////////////////
-// Base classes for iterative processes based on operators
+    // Base classes for iterative processes based on operators
-// single input vec, single output vec.
+    // single input vec, single output vec.
-/////////////////////////////////////////////////////////////
+    /////////////////////////////////////////////////////////////
 
-template<class Field> 
+  template<class Field> 
-class PrecConjugateResidual : public OperatorFunction<Field> {
+    class PrecConjugateResidual : public OperatorFunction<Field> {
-public:                                                
+  public:                                                
-  RealD   Tolerance;
+    RealD   Tolerance;
-  Integer MaxIterations;
+    Integer MaxIterations;
-  int verbose;
+    int verbose;
-  LinearFunction<Field> &Preconditioner;
+    LinearFunction<Field> &Preconditioner;
 
-  PrecConjugateResidual(RealD tol,Integer maxit,LinearFunction<Field> &Prec) : Tolerance(tol), MaxIterations(maxit),      Preconditioner(Prec)
+    PrecConjugateResidual(RealD tol,Integer maxit,LinearFunction<Field> &Prec) : Tolerance(tol), MaxIterations(maxit),      Preconditioner(Prec)
-  { 
+    { 
-    verbose=1;
+      verbose=1;
-  };
+    };
 
-  void operator() (LinearOperatorBase<Field> &Linop,const Field &src, Field &psi){
+    void operator() (LinearOperatorBase<Field> &Linop,const Field &src, Field &psi){
 
-    RealD a, b, c, d;
+      RealD a, b, c, d;
-    RealD cp, ssq,rsq;
+      RealD cp, ssq,rsq;
       
-    RealD rAr, rAAr, rArp;
+      RealD rAr, rAAr, rArp;
-    RealD pAp, pAAp;
+      RealD pAp, pAAp;
 
-    GridBase *grid = src.Grid();
+      GridBase *grid = src._grid;
-    Field r(grid),  p(grid), Ap(grid), Ar(grid), z(grid);
+      Field r(grid),  p(grid), Ap(grid), Ar(grid), z(grid);
       
-    psi=zero;
+      psi=zero;
-    r  = src;
+      r  = src;
-    Preconditioner(r,p);
+      Preconditioner(r,p);
 
       
 
-    Linop.HermOpAndNorm(p,Ap,pAp,pAAp);
+      Linop.HermOpAndNorm(p,Ap,pAp,pAAp);
-    Ar=Ap;
+      Ar=Ap;
-    rAr=pAp;
+      rAr=pAp;
-    rAAr=pAAp;
+      rAAr=pAAp;
 
-    cp =norm2(r);
+      cp =norm2(r);
-    ssq=norm2(src);
+      ssq=norm2(src);
-    rsq=Tolerance*Tolerance*ssq;
+      rsq=Tolerance*Tolerance*ssq;
 
-    if (verbose) std::cout<<GridLogMessage<<"PrecConjugateResidual: iteration " <<0<<" residual "<<cp<< " target"<< rsq<<std::endl;
+      if (verbose) std::cout<<GridLogMessage<<"PrecConjugateResidual: iteration " <<0<<" residual "<<cp<< " target"<< rsq<<std::endl;
 
-    for(int k=0;k<MaxIterations;k++){
+      for(int k=0;k<MaxIterations;k++){
 
 
-      Preconditioner(Ap,z);
+	Preconditioner(Ap,z);
-      RealD rq= real(innerProduct(Ap,z)); 
+	RealD rq= real(innerProduct(Ap,z)); 
 
-      a = rAr/rq;
+	a = rAr/rq;
 
-      axpy(psi,a,p,psi);
+   	axpy(psi,a,p,psi);
-      cp = axpy_norm(r,-a,z,r);
+   cp = axpy_norm(r,-a,z,r);
 
-      rArp=rAr;
+	rArp=rAr;
 
-      Linop.HermOpAndNorm(r,Ar,rAr,rAAr);
+	Linop.HermOpAndNorm(r,Ar,rAr,rAAr);
 
-      b   =rAr/rArp;
+	b   =rAr/rArp;
  
-      axpy(p,b,p,r);
+	axpy(p,b,p,r);
-      pAAp=axpy_norm(Ap,b,Ap,Ar);
+	pAAp=axpy_norm(Ap,b,Ap,Ar);
 	
-      if(verbose) std::cout<<GridLogMessage<<"PrecConjugateResidual: iteration " <<k<<" residual "<<cp<< " target"<< rsq<<std::endl;
+	if(verbose) std::cout<<GridLogMessage<<"PrecConjugateResidual: iteration " <<k<<" residual "<<cp<< " target"<< rsq<<std::endl;
+
+	if(cp<rsq) {
+	  Linop.HermOp(psi,Ap);
+	  axpy(r,-1.0,src,Ap);
+	  RealD true_resid = norm2(r)/ssq;
+	  std::cout<<GridLogMessage<<"PrecConjugateResidual: Converged on iteration " <<k
+		   << " computed residual "<<sqrt(cp/ssq)
+	           << " true residual "<<sqrt(true_resid)
+	           << " target "       <<Tolerance <<std::endl;
+	  return;
+	}
 
-      if(cp<rsq) {
-	Linop.HermOp(psi,Ap);
-	axpy(r,-1.0,src,Ap);
-	RealD true_resid = norm2(r)/ssq;
-	std::cout<<GridLogMessage<<"PrecConjugateResidual: Converged on iteration " <<k
-		 << " computed residual "<<sqrt(cp/ssq)
-		 << " true residual "<<sqrt(true_resid)
-		 << " target "       <<Tolerance <<std::endl;
-	return;
       }
 
+      std::cout<<GridLogMessage<<"PrecConjugateResidual did NOT converge"<<std::endl;
+      assert(0);
     }
-
+  };
-    std::cout<<GridLogMessage<<"PrecConjugateResidual did NOT converge"<<std::endl;
+}
-    GRID_ASSERT(0);
-  }
-};
-NAMESPACE_END(Grid);
 #endif

Grid/algorithms/iterative/PrecGeneralisedConjugateResidual.h

@@ -1,4 +1,4 @@
-/*************************************************************************************
+    /*************************************************************************************
 
     Grid physics library, www.github.com/paboyle/Grid 
 
@@ -24,8 +24,8 @@ Author: Peter Boyle <paboyle@ph.ed.ac.uk>
     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 */
+    /*  END LEGAL */
 #ifndef GRID_PREC_GCR_H
 #define GRID_PREC_GCR_H
 
@@ -36,205 +36,195 @@ Author: Peter Boyle <paboyle@ph.ed.ac.uk>
 //NB. Likely not original reference since they are focussing on a preconditioner variant.
 //    but VPGCR was nicely written up in their paper
 ///////////////////////////////////////////////////////////////////////////////////////////////////////
-NAMESPACE_BEGIN(Grid);
+namespace Grid {
 
-#define GCRLogLevel std::cout << GridLogMessage <<std::string(level,'\t')<< " Level "<<level<<" " 
+  template<class Field>
+    class PrecGeneralisedConjugateResidual : public OperatorFunction<Field> {
+  public:                                                
+    RealD   Tolerance;
+    Integer MaxIterations;
+    int verbose;
+    int mmax;
+    int nstep;
+    int steps;
+    GridStopWatch PrecTimer;
+    GridStopWatch MatTimer;
+    GridStopWatch LinalgTimer;
 
-template<class Field>
+    LinearFunction<Field> &Preconditioner;
-class PrecGeneralisedConjugateResidual : public LinearFunction<Field> {
-public:                                                
-  using LinearFunction<Field>::operator();
-  RealD   Tolerance;
-  Integer MaxIterations;
-  int verbose;
-  int mmax;
-  int nstep;
-  int steps;
-  int level;
-  GridStopWatch PrecTimer;
-  GridStopWatch MatTimer;
-  GridStopWatch LinalgTimer;
 
-  LinearFunction<Field>     &Preconditioner;
+   PrecGeneralisedConjugateResidual(RealD tol,Integer maxit,LinearFunction<Field> &Prec,int _mmax,int _nstep) : 
-  LinearOperatorBase<Field> &Linop;
+      Tolerance(tol), 
+      MaxIterations(maxit),
+      Preconditioner(Prec),
+      mmax(_mmax),
+      nstep(_nstep)
+    { 
+      verbose=1;
+    };
 
-  void Level(int lv) { level=lv; };
+    void operator() (LinearOperatorBase<Field> &Linop,const Field &src, Field &psi){
 
-  PrecGeneralisedConjugateResidual(RealD tol,Integer maxit,LinearOperatorBase<Field> &_Linop,LinearFunction<Field> &Prec,int _mmax,int _nstep) : 
+      psi=zero;
-    Tolerance(tol), 
+      RealD cp, ssq,rsq;
-    MaxIterations(maxit),
+      ssq=norm2(src);
-    Linop(_Linop),
+      rsq=Tolerance*Tolerance*ssq;
-    Preconditioner(Prec),
-    mmax(_mmax),
-    nstep(_nstep)
-  { 
-    level=1;
-    verbose=1;
-  };
       
-  void operator() (const Field &src, Field &psi){
+      Field r(src._grid);
 
-    psi=Zero();
+        PrecTimer.Reset();
-    RealD cp, ssq,rsq;
+         MatTimer.Reset();
-    ssq=norm2(src);
+      LinalgTimer.Reset();
-    rsq=Tolerance*Tolerance*ssq;
 
-    Field r(src.Grid());
+      GridStopWatch SolverTimer;
+      SolverTimer.Start();
 
-    PrecTimer.Reset();
+      steps=0;
-    MatTimer.Reset();
+      for(int k=0;k<MaxIterations;k++){
-    LinalgTimer.Reset();
 
-    GridStopWatch SolverTimer;
+	cp=GCRnStep(Linop,src,psi,rsq);
-    SolverTimer.Start();
 
-    steps=0;
+	std::cout<<GridLogMessage<<"VPGCR("<<mmax<<","<<nstep<<") "<< steps <<" steps cp = "<<cp<<std::endl;
-    for(int k=0;k<MaxIterations;k++){
 
-      cp=GCRnStep(src,psi,rsq);
+	if(cp<rsq) {
 
-      GCRLogLevel <<"PGCR("<<mmax<<","<<nstep<<") "<< steps <<" steps cp = "<<cp<<" target "<<rsq <<std::endl;
+	  SolverTimer.Stop();
 
-      if(cp<rsq) {
+	  Linop.HermOp(psi,r);
+	  axpy(r,-1.0,src,r);
+	  RealD tr = norm2(r);
+	  std::cout<<GridLogMessage<<"PrecGeneralisedConjugateResidual: Converged on iteration " <<steps
+		   << " computed residual "<<sqrt(cp/ssq)
+	           << " true residual "    <<sqrt(tr/ssq)
+	           << " target "           <<Tolerance <<std::endl;
 
-	SolverTimer.Stop();
+	  std::cout<<GridLogMessage<<"VPGCR Time elapsed: Total  "<< SolverTimer.Elapsed() <<std::endl;
+	  std::cout<<GridLogMessage<<"VPGCR Time elapsed: Precon "<<   PrecTimer.Elapsed() <<std::endl;
+	  std::cout<<GridLogMessage<<"VPGCR Time elapsed: Matrix "<<    MatTimer.Elapsed() <<std::endl;
+	  std::cout<<GridLogMessage<<"VPGCR Time elapsed: Linalg "<< LinalgTimer.Elapsed() <<std::endl;
+	  return;
+	}
 
-	Linop.HermOp(psi,r);
-	axpy(r,-1.0,src,r);
-	RealD tr = norm2(r);
-	GCRLogLevel<<"PGCR: Converged on iteration " <<steps
-		 << " computed residual "<<sqrt(cp/ssq)
-		 << " true residual "    <<sqrt(tr/ssq)
-		 << " target "           <<Tolerance <<std::endl;
-
-	GCRLogLevel<<"PGCR Time elapsed: Total  "<< SolverTimer.Elapsed() <<std::endl;
-	/*
-	  GCRLogLevel<<"PGCR Time elapsed: Precon "<<   PrecTimer.Elapsed() <<std::endl;
-	  GCRLogLevel<<"PGCR Time elapsed: Matrix "<<    MatTimer.Elapsed() <<std::endl;
-	  GCRLogLevel<<"PGCR Time elapsed: Linalg "<< LinalgTimer.Elapsed() <<std::endl;
-	*/
-	return;
       }
-
+      std::cout<<GridLogMessage<<"Variable Preconditioned GCR did not converge"<<std::endl;
+      assert(0);
     }
-    GCRLogLevel<<"Variable Preconditioned GCR did not converge"<<std::endl;
-    //    GRID_ASSERT(0);
-  }
 
-  RealD GCRnStep(const Field &src, Field &psi,RealD rsq){
+    RealD GCRnStep(LinearOperatorBase<Field> &Linop,const Field &src, Field &psi,RealD rsq){
 
-    RealD cp;
+      RealD cp;
-    RealD a, b;
+      RealD a, b, c, d;
-    RealD zAz, zAAz;
+      RealD zAz, zAAz;
-    RealD rq;
+      RealD rAq, rq;
 
-    GridBase *grid = src.Grid();
+      GridBase *grid = src._grid;
 
-    Field r(grid);
+      Field r(grid);
-    Field z(grid);
+      Field z(grid);
-    Field tmp(grid);
+      Field tmp(grid);
-    Field ttmp(grid);
+      Field ttmp(grid);
-    Field Az(grid);
+      Field Az(grid);
 
-    ////////////////////////////////
+      ////////////////////////////////
-    // history for flexible orthog
+      // history for flexible orthog
-    ////////////////////////////////
+      ////////////////////////////////
-    std::vector<Field> q(mmax,grid);
+      std::vector<Field> q(mmax,grid);
-    std::vector<Field> p(mmax,grid);
+      std::vector<Field> p(mmax,grid);
-    std::vector<RealD> qq(mmax);
+      std::vector<RealD> qq(mmax);
-      
-    GCRLogLevel<< "PGCR nStep("<<nstep<<")"<<std::endl;
-
-    //////////////////////////////////
-    // initial guess x0 is taken as nonzero.
-    // r0=src-A x0 = src
-    //////////////////////////////////
-    MatTimer.Start();
-    Linop.HermOpAndNorm(psi,Az,zAz,zAAz); 
-    MatTimer.Stop();
-    
-
-    LinalgTimer.Start();
-    r=src-Az;
-    LinalgTimer.Stop();
-    GCRLogLevel<< "PGCR true residual r = src - A psi   "<<norm2(r) <<std::endl;
-    
-    /////////////////////
-    // p = Prec(r)
-    /////////////////////
-
-    PrecTimer.Start();
-    Preconditioner(r,z);
-    PrecTimer.Stop();
-
-    MatTimer.Start();
-    Linop.HermOpAndNorm(z,Az,zAz,zAAz); 
-    MatTimer.Stop();
-
-    LinalgTimer.Start();
-
-    //p[0],q[0],qq[0] 
-    p[0]= z;
-    q[0]= Az;
-    qq[0]= zAAz;
-    
-    cp =norm2(r);
-    LinalgTimer.Stop();
-
-    for(int k=0;k<nstep;k++){
-
-      steps++;
-
-      int kp     = k+1;
-      int peri_k = k %mmax;
-      int peri_kp= kp%mmax;
-
-      LinalgTimer.Start();
-      rq= real(innerProduct(r,q[peri_k])); // what if rAr not real?
-      a = rq/qq[peri_k];
-
-      axpy(psi,a,p[peri_k],psi);         
-
-      cp = axpy_norm(r,-a,q[peri_k],r);
-      LinalgTimer.Stop();
-
-      GCRLogLevel<< "PGCR step["<<steps<<"]  resid " << cp << " target " <<rsq<<std::endl; 
-
-      if((k==nstep-1)||(cp<rsq)){
-	return cp;
-      }
       
+      //////////////////////////////////
+      // initial guess x0 is taken as nonzero.
+      // r0=src-A x0 = src
+      //////////////////////////////////
+      MatTimer.Start();
+      Linop.HermOpAndNorm(psi,Az,zAz,zAAz); 
+      MatTimer.Stop();
+      r=src-Az;
       
+      /////////////////////
+      // p = Prec(r)
+      /////////////////////
       PrecTimer.Start();
-      Preconditioner(r,z);// solve Az = r
+      Preconditioner(r,z);
       PrecTimer.Stop();
 
+      MatTimer.Start();
+      Linop.HermOp(z,tmp); 
+      MatTimer.Stop();
+
+      ttmp=tmp;
+      tmp=tmp-r;
+
+      /*
+      std::cout<<GridLogMessage<<r<<std::endl;
+      std::cout<<GridLogMessage<<z<<std::endl;
+      std::cout<<GridLogMessage<<ttmp<<std::endl;
+      std::cout<<GridLogMessage<<tmp<<std::endl;
+      */
+
       MatTimer.Start();
       Linop.HermOpAndNorm(z,Az,zAz,zAAz); 
       MatTimer.Stop();
 
-      LinalgTimer.Start();
+      //p[0],q[0],qq[0] 
+      p[0]= z;
+      q[0]= Az;
+      qq[0]= zAAz;
 
-      q[peri_kp]=Az;
+      cp =norm2(r);
-      p[peri_kp]=z;
 
-      int northog = ((kp)>(mmax-1))?(mmax-1):(kp);  // if more than mmax done, we orthog all mmax history.
+      for(int k=0;k<nstep;k++){
-      for(int back=0;back<northog;back++){
 
-	int peri_back=(k-back)%mmax;   	  GRID_ASSERT((k-back)>=0);
+	steps++;
+
+	int kp     = k+1;
+	int peri_k = k %mmax;
+	int peri_kp= kp%mmax;
+
+	rq= real(innerProduct(r,q[peri_k])); // what if rAr not real?
+	a = rq/qq[peri_k];
+
+	axpy(psi,a,p[peri_k],psi);         
+
+	cp = axpy_norm(r,-a,q[peri_k],r);  
+
+	if((k==nstep-1)||(cp<rsq)){
+	  return cp;
+	}
+
+	std::cout<<GridLogMessage<< " VPGCR_step["<<steps<<"]  resid " <<sqrt(cp/rsq)<<std::endl; 
+
+	PrecTimer.Start();
+	Preconditioner(r,z);// solve Az = r
+	PrecTimer.Stop();
+
+	MatTimer.Start();
+	Linop.HermOpAndNorm(z,Az,zAz,zAAz);
+	Linop.HermOp(z,tmp);
+	MatTimer.Stop();
+        tmp=tmp-r;
+	std::cout<<GridLogMessage<< " Preconditioner resid " <<sqrt(norm2(tmp)/norm2(r))<<std::endl; 
+
+	q[peri_kp]=Az;
+	p[peri_kp]=z;
+
+	int northog = ((kp)>(mmax-1))?(mmax-1):(kp);  // if more than mmax done, we orthog all mmax history.
+	for(int back=0;back<northog;back++){
+
+	  int peri_back=(k-back)%mmax;   	  assert((k-back)>=0);
+
+	  b=-real(innerProduct(q[peri_back],Az))/qq[peri_back];
+	  p[peri_kp]=p[peri_kp]+b*p[peri_back];
+	  q[peri_kp]=q[peri_kp]+b*q[peri_back];
+
+	}
+	qq[peri_kp]=norm2(q[peri_kp]); // could use axpy_norm
 
-	b=-real(innerProduct(q[peri_back],Az))/qq[peri_back];
-	p[peri_kp]=p[peri_kp]+b*p[peri_back];
-	q[peri_kp]=q[peri_kp]+b*q[peri_back];
 
       }
-      qq[peri_kp]=norm2(q[peri_kp]); // could use axpy_norm
+      assert(0); // never reached
-      LinalgTimer.Stop();
+      return cp;
     }
-    GRID_ASSERT(0); // never reached
+  };
-    return cp;
+}
-  }
-};
-NAMESPACE_END(Grid);
-#undef GCRLogLevel
 #endif

Grid/algorithms/iterative/PrecGeneralisedConjugateResidualNonHermitian.h

@@ -1,296 +0,0 @@
-/*************************************************************************************
-
-    Grid physics library, www.github.com/paboyle/Grid 
-
-    Source file: ./lib/algorithms/iterative/PrecGeneralisedConjugateResidual.h
-
-    Copyright (C) 2015
-
-Author: Azusa Yamaguchi <ayamaguc@staffmail.ed.ac.uk>
-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 GRID_PREC_GCR_NON_HERM_H
-#define GRID_PREC_GCR_NON_HERM_H
-
-///////////////////////////////////////////////////////////////////////////////////////////////////////
-//VPGCR Abe and Zhang, 2005.
-//INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING
-//Computing and Information Volume 2, Number 2, Pages 147-161
-//NB. Likely not original reference since they are focussing on a preconditioner variant.
-//    but VPGCR was nicely written up in their paper
-///////////////////////////////////////////////////////////////////////////////////////////////////////
-NAMESPACE_BEGIN(Grid);
-
-#define GCRLogLevel std::cout << GridLogMessage <<std::string(level,'\t')<< name<<" "
-
-template<class Field>
-class PrecGeneralisedConjugateResidualNonHermitian : public LinearFunction<Field> {
-public:                                                
-  using LinearFunction<Field>::operator();
-  RealD   Tolerance;
-  RealD   SSQ;
-  Integer MaxIterations;
-  int verbose;
-  int mmax;
-  int nstep;
-  int steps;
-  int level;
-  GridStopWatch PrecTimer;
-  GridStopWatch MatTimer;
-  GridStopWatch LinalgTimer;
-  std::string name;
-  int ZeroGuess  = 0;  // caller contract: guess is always zero => first-cycle r0 = src, skip the apply
-  // persistent GCR history (see GCRnStep)
-  GridBase           *hist_grid = nullptr;
-  std::vector<Field>  q;
-  std::vector<Field>  p;
-  std::vector<RealD>  qq;
-  int FirstCycle = 0;
-
-  LinearFunction<Field>     &Preconditioner;
-  LinearOperatorBase<Field> &Linop;
-
-  void Name(std::string _name) { name = _name; };
-
-  void Level(int n) { Name("Level " + std::to_string(n)); level = n; }
-
-  void SetZeroGuess(int z) { ZeroGuess = z; };
-  // Coefficient logging: one line per step with the step length a_k and the
-  // orthogonalisation coefficients b_{k,j}.  These are the data from which a
-  // FIXED polynomial smoother can be harvested: if they are stable from call
-  // to call, the adaptive GCR can be replaced by a stationary p(A) with the
-  // same applies and no reductions.  Off by default; boss rank prints.
-  int  LogCoeffs = 0;
-  void LogCoefficients(int l) { LogCoeffs = l; };
-
-  PrecGeneralisedConjugateResidualNonHermitian(RealD tol,Integer maxit,LinearOperatorBase<Field> &_Linop,LinearFunction<Field> &Prec,int _mmax,int _nstep) : 
-    Tolerance(tol), 
-    MaxIterations(maxit),
-    Linop(_Linop),
-    Preconditioner(Prec),
-    mmax(_mmax),
-    nstep(_nstep)
-  {
-    Level(1);
-    verbose=1;
-  };
-
-  void operator() (const Field &src, Field &psi){
-
-    //    psi=Zero();
-    RealD cp, ssq,rsq;
-    ssq=norm2(src);
-    SSQ=ssq;
-    rsq=Tolerance*Tolerance*ssq;
-      
-    Field r(src.Grid());
-
-    PrecTimer.Reset();
-    MatTimer.Reset();
-    LinalgTimer.Reset();
-
-    GridStopWatch SolverTimer;
-    SolverTimer.Start();
-
-    steps=0;
-    FirstCycle=1;
-    for(int k=0;k<MaxIterations;k++){
-
-      cp=GCRnStep(src,psi,rsq);
-
-      GCRLogLevel <<"PGCR("<<mmax<<","<<nstep<<") "<< steps <<" steps cp = "<<sqrt(cp/ssq)<<" target "<<sqrt(rsq/ssq) <<std::endl;
-
-      if(cp<rsq) {
-
-	SolverTimer.Stop();
-
-	Linop.Op(psi,r);
-	axpy(r,-1.0,src,r);
-	RealD tr = norm2(r);
-	GCRLogLevel<<"PGCR: Converged on iteration " <<steps
-		 << " computed residual "<<sqrt(cp/ssq)
-		 << " true residual "    <<sqrt(tr/ssq)
-		 << " target "           <<Tolerance <<std::endl;
-
-	GCRLogLevel<<"PGCR Time elapsed: Total  "<< SolverTimer.Elapsed() <<std::endl;
-	return;
-      }
-
-    }
-    GCRLogLevel<<"Variable Preconditioned GCR did not converge"<<std::endl;
-    //    GRID_ASSERT(0);
-  }
-
-  RealD GCRnStep(const Field &src, Field &psi,RealD rsq){
-
-    RealD cp;
-    ComplexD a, b;
-    ComplexD rq;
-
-    GridBase *grid = src.Grid();
-
-    // Only r and one scratch for the restart residual; the new p/q directions
-    // are produced directly in their persistent history slots.
-    Field r(grid);
-    Field Az(grid);
-
-    ////////////////////////////////
-    // history for flexible orthog
-    ////////////////////////////////
-    // History arrays are PERSISTENT across calls (allocated once per grid,
-    // re-made only if the grid or mmax changes).  The per-call form
-    // std::vector<Field>(mmax,grid) built a temporary and copy-constructed it
-    // mmax times on every restart cycle -- measured ~5 ms per fine-smoother
-    // call.  Safe: every entry is written before it is read within a cycle
-    // (q[kp],p[kp] assigned before the northog loop can reach them), so no
-    // stale content is ever consumed.
-    if ( hist_grid != grid || (int)q.size() != mmax ) {
-      q.clear(); p.clear();
-      q.reserve(mmax); p.reserve(mmax);
-      for(int i=0;i<mmax;i++){ q.emplace_back(grid); p.emplace_back(grid); }
-      qq.assign(mmax, 0.0);
-      hist_grid = grid;
-    }
-      
-    GCRLogLevel<< "PGCR nStep("<<nstep<<")"<<std::endl;
-
-    //////////////////////////////////
-    // r0 = src - A x0.  ZeroGuess: on the first cycle x0==0 by caller
-    // contract (enforced here), so r0 = src exactly; skip the apply.
-    // Restart cycles (psi!=0) always do the full computation.
-    //////////////////////////////////
-    if (ZeroGuess && FirstCycle) {
-      psi = Zero();
-      LinalgTimer.Start();
-      r = src;
-      LinalgTimer.Stop();
-    } else {
-      MatTimer.Start();
-      Linop.Op(psi,Az);
-      MatTimer.Stop();
-      LinalgTimer.Start();
-      r=src-Az;
-      LinalgTimer.Stop();
-    }
-    FirstCycle=0;
-
-    /////////////////////
-    // p = Prec(r)
-    /////////////////////
-
-    // p[0] = Prec(r), q[0] = A p[0], written straight into the history slots
-    PrecTimer.Start();
-    Preconditioner(r,p[0]);
-    PrecTimer.Stop();
-
-    MatTimer.Start();
-    Linop.Op(p[0],q[0]);
-    MatTimer.Stop();
-
-    LinalgTimer.Start();
-
-    qq[0]= norm2(q[0]);
-
-    cp =norm2(r);
-    LinalgTimer.Stop();
-    GCRLogLevel<< "PGCR true residual "<< sqrt(cp/SSQ)     <<std::endl;
-
-    for(int k=0;k<nstep;k++){
-      GRID_TRACE("PGCR_step");
-      steps++;
-
-      int kp     = k+1;
-      int peri_k = k %mmax;
-      int peri_kp= kp%mmax;
-
-      LinalgTimer.Start();
-      rq= innerProduct(q[peri_k],r); // what if rAr not real?
-      a = rq/qq[peri_k];
-
-      axpy(psi,a,p[peri_k],psi);         
-
-      cp = axpy_norm(r,-a,q[peri_k],r);
-      LinalgTimer.Stop();
-      if ( LogCoeffs ) {
-        GCRLogLevel<<"coeff["<<k<<"] a=("<<real(a)<<","<<imag(a)<<")"
-                   <<" |r|/|r0|="<<sqrt(cp/SSQ)<<std::endl;
-      }
-
-      GCRLogLevel<< "PGCR step["<<steps<<"]  resid " << sqrt(cp/SSQ)<<std::endl;
-
-      if((k==nstep-1)||(cp<rsq)){
-	return cp;
-      }
-
-      // New direction written straight into its history slot: p = Prec(r), q = A p.
-      PrecTimer.Start();
-      Preconditioner(r,p[peri_kp]);
-      PrecTimer.Stop();
-
-      MatTimer.Start();
-      Linop.Op(p[peri_kp],q[peri_kp]);
-      MatTimer.Stop();
-
-      LinalgTimer.Start();
-
-      int northog = ((kp)>(mmax-1))?(mmax-1):(kp);  // if more than mmax done, we orthog all mmax history.
-      std::ostringstream bs;
-
-      // Classical Gram-Schmidt: every coefficient is taken against the
-      // UN-updated new q (so all northog inner products are independent and
-      // batchable), then the window is applied.  The coefficient is complex:
-      // for a non-Hermitian operator <q_j,Aq> is complex and keeping only the
-      // real part left the q's non-orthogonal.
-      // Batched: one fused kernel + one reduction for all coefficients,
-      // one fused pass per update (independent of mmax).
-      std::vector<const Field*> qwin(northog), pwin(northog);
-      for(int back=0;back<northog;back++){
-	int peri_back=(k-back)%mmax;   	  GRID_ASSERT((k-back)>=0);
-	GRID_ASSERT(peri_back!=peri_kp);
-	qwin[back] = &q[peri_back];
-	pwin[back] = &p[peri_back];
-      }
-      std::vector<ComplexD> bcoef;
-      innerProductMulti(bcoef,qwin,q[peri_kp]);
-      for(int back=0;back<northog;back++){
-	int peri_back=(k-back)%mmax;
-	bcoef[back] = -bcoef[back]/qq[peri_back];
-        if ( LogCoeffs ) bs<<" b["<<back<<"]="<<bcoef[back];
-      }
-      if ( northog ) {
-	axpyMulti(p[peri_kp],bcoef,pwin);
-	qq[peri_kp]=axpyMultiNorm(q[peri_kp],bcoef,qwin);
-      } else {
-	qq[peri_kp]=norm2(q[peri_kp]);
-      }
-      if ( LogCoeffs && northog ) {
-        GCRLogLevel<<"coeff["<<k<<"]"<<bs.str()<<std::endl;
-      }
-      qq[peri_kp]=norm2(q[peri_kp]); // could use axpy_norm
-      LinalgTimer.Stop();
-    }
-    GRID_ASSERT(0); // never reached
-    return cp;
-  }
-};
-NAMESPACE_END(Grid);
-
-#undef GCRLogLevel
-#endif

Grid/algorithms/iterative/QuasiMinimalResidual.h

@@ -1,371 +0,0 @@
-/*************************************************************************************
-
-Grid physics library, www.github.com/paboyle/Grid
-
-Source file: ./lib/algorithmsf/iterative/QuasiMinimalResidual.h
-
-Copyright (C) 2019
-
-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 */
-#pragma once
-
-NAMESPACE_BEGIN(Grid);
-
-template<class Field> 
-RealD innerG5ProductReal(Field &l, Field &r)
-{
-  Gamma G5(Gamma::Algebra::Gamma5);
-  Field tmp(l.Grid());
-  //  tmp = G5*r;
-  G5R5(tmp,r);
-  ComplexD ip =innerProduct(l,tmp);
-  std::cout << "innerProductRealG5R5 "<<ip<<std::endl;
-  return ip.real();
-}
-
-template<class Field>
-class QuasiMinimalResidual : public OperatorFunction<Field> {
- public:
-  using OperatorFunction<Field>::operator();
-
-  bool ErrorOnNoConverge; 
-  RealD   Tolerance;
-  Integer MaxIterations;
-  Integer IterationCount;
-
-  QuasiMinimalResidual(RealD   tol,
-		       Integer maxit,
-		       bool    err_on_no_conv = true)
-      : Tolerance(tol)
-      , MaxIterations(maxit)
-      , ErrorOnNoConverge(err_on_no_conv) 
-  {};
-
-#if 1
-  void operator()(LinearOperatorBase<Field> &LinOp, const Field &b, Field &x) 
-  {
-    RealD resid;
-    IterationCount=0;
-
-    RealD  rho, rho_1, xi, gamma, gamma_1, theta, theta_1;
-    RealD  eta, delta, ep, beta; 
-
-    GridBase *Grid = b.Grid();
-    Field r(Grid), d(Grid), s(Grid);
-    Field v(Grid), w(Grid), y(Grid),  z(Grid);
-    Field v_tld(Grid), w_tld(Grid), y_tld(Grid), z_tld(Grid);
-    Field p(Grid), q(Grid), p_tld(Grid);
-
-    Real normb = norm2(b);
-
-    LinOp.Op(x,r); r = b - r;
-
-    GRID_ASSERT(normb> 0.0);
-
-    resid = norm2(r)/normb;
-    if (resid <= Tolerance) {
-      return;
-    }
-
-    v_tld = r;
-    y = v_tld;
-    rho = norm2(y);
-
-    // Take Gamma5 conjugate
-    //    Gamma G5(Gamma::Algebra::Gamma5);
-    //    G5R5(w_tld,r);
-    //    w_tld = G5* v_tld;
-    w_tld=v_tld;
-    z = w_tld;
-    xi = norm2(z);
-
-    gamma = 1.0;
-    eta   = -1.0;
-    theta = 0.0;
-
-    for (int i = 1; i <= MaxIterations; i++) {
-
-      // Breakdown tests
-      GRID_ASSERT( rho != 0.0);
-      GRID_ASSERT( xi  != 0.0);
-
-      v = (1. / rho) * v_tld;
-      y = (1. / rho) * y;
-
-      w = (1. / xi) * w_tld;
-      z = (1. / xi) * z;
-
-      ComplexD Zdelta = innerProduct(z, y); // Complex?
-      std::cout << "Zdelta "<<Zdelta<<std::endl;
-      delta = Zdelta.real();
-
-      y_tld = y; 
-      z_tld = z;
-
-      if (i > 1) {
-	p = y_tld - (xi  * delta / ep) * p;
-	q = z_tld - (rho * delta / ep) * q;
-      } else {
-	p = y_tld;
-	q = z_tld;
-      }
-
-      LinOp.Op(p,p_tld);      //     p_tld = A * p;
-      ComplexD Zep = innerProduct(q, p_tld);
-      ep=Zep.real();
-      std::cout << "Zep "<<Zep <<std::endl;
-      // Complex Audit
-      GRID_ASSERT(abs(ep)>0);
-
-      beta = ep / delta;
-      GRID_ASSERT(abs(beta)>0);
-
-      v_tld = p_tld - beta * v;
-      y = v_tld;
-
-      rho_1 = rho;
-      rho   = norm2(y);
-      LinOp.AdjOp(q,w_tld);
-      w_tld = w_tld - beta * w;
-      z = w_tld;
-
-      xi = norm2(z);
-
-      gamma_1 = gamma;
-      theta_1 = theta;
-
-      theta   = rho / (gamma_1 * beta);
-      gamma   = 1.0 / sqrt(1.0 + theta * theta);
-      std::cout << "theta "<<theta<<std::endl;
-      std::cout << "gamma "<<gamma<<std::endl;
-
-      GRID_ASSERT(abs(gamma)> 0.0);
-
-      eta = -eta * rho_1 * gamma* gamma / (beta * gamma_1 * gamma_1);
-
-      if (i > 1) {
-	d = eta * p + (theta_1 * theta_1 * gamma * gamma) * d;
-	s = eta * p_tld + (theta_1 * theta_1 * gamma * gamma) * s;
-      } else {
-	d = eta * p;
-	s = eta * p_tld;
-      }
-
-      x =x+d;                            // update approximation vector
-      r =r-s;                            // compute residual
-
-      if ((resid = norm2(r) / normb) <= Tolerance) {
-	return;
-      }
-      std::cout << "Iteration "<<i<<" resid " << resid<<std::endl;
-    }
-    GRID_ASSERT(0);
-    return;                            // no convergence
-  }
-#else
-  // QMRg5 SMP thesis
-  void operator()(LinearOperatorBase<Field> &LinOp, const Field &b, Field &x) 
-  {
-    // Real scalars
-    GridBase *grid = b.Grid();
-
-    Field    r(grid);
-    Field    p_m(grid), p_m_minus_1(grid), p_m_minus_2(grid);
-    Field    v_m(grid), v_m_minus_1(grid), v_m_plus_1(grid);
-    Field    tmp(grid);
-
-    RealD    w;
-    RealD    z1, z2;
-    RealD    delta_m, delta_m_minus_1;
-    RealD    c_m_plus_1, c_m, c_m_minus_1;
-    RealD    s_m_plus_1, s_m, s_m_minus_1;
-    RealD    alpha, beta, gamma, epsilon;
-    RealD    mu, nu, rho, theta, xi, chi;
-    RealD    mod2r, mod2b;
-    RealD    tau2, target2;
-
-    mod2b=norm2(b);
-
-    /////////////////////////
-    // Initial residual
-    /////////////////////////
-    LinOp.Op(x,tmp);
-    r = b - tmp;
-
-    /////////////////////////
-    // \mu = \rho = |r_0|
-    /////////////////////////
-    mod2r = norm2(r);
-    rho = sqrt( mod2r);
-    mu=rho;
-    
-    std::cout << "QuasiMinimalResidual rho "<< rho<<std::endl;
-    /////////////////////////
-    // Zero negative history
-    /////////////////////////
-    v_m_plus_1  = Zero();
-    v_m_minus_1 = Zero();
-    p_m_minus_1 = Zero();
-    p_m_minus_2 = Zero();
-
-    // v0
-    v_m = (1.0/rho)*r;
-
-    /////////////////////////
-    // Initial coeffs
-    /////////////////////////
-    delta_m_minus_1 = 1.0;
-    c_m_minus_1     = 1.0;
-    c_m             = 1.0;
-    s_m_minus_1     = 0.0;
-    s_m             = 0.0;
-
-    /////////////////////////
-    // Set up convergence check
-    /////////////////////////
-    tau2    = mod2r;
-    target2 = mod2b * Tolerance*Tolerance;
- 
-    for(int iter = 0 ; iter < MaxIterations; iter++){
-
-      /////////////////////////
-      // \delta_m = (v_m, \gamma_5 v_m) 
-      /////////////////////////
-      delta_m = innerG5ProductReal(v_m,v_m);
-      std::cout << "QuasiMinimalResidual delta_m "<< delta_m<<std::endl;
-
-      /////////////////////////
-      // tmp = A v_m
-      /////////////////////////
-      LinOp.Op(v_m,tmp);
-
-      /////////////////////////
-      // \alpha = (v_m, \gamma_5 temp) / \delta_m 
-      /////////////////////////
-      alpha = innerG5ProductReal(v_m,tmp);
-      alpha = alpha/delta_m ;
-      std::cout << "QuasiMinimalResidual alpha "<< alpha<<std::endl;
-
-      /////////////////////////
-      // \beta = \rho \delta_m / \delta_{m-1}
-      /////////////////////////
-      beta = rho * delta_m / delta_m_minus_1;
-      std::cout << "QuasiMinimalResidual beta "<< beta<<std::endl;
-
-      /////////////////////////
-      // \tilde{v}_{m+1} = temp - \alpha v_m - \beta v_{m-1}
-      /////////////////////////
-      v_m_plus_1 = tmp - alpha*v_m - beta*v_m_minus_1;
-
-      ///////////////////////////////
-      // \rho = || \tilde{v}_{m+1} ||
-      ///////////////////////////////
-      rho = sqrt( norm2(v_m_plus_1) );
-      std::cout << "QuasiMinimalResidual rho "<< rho<<std::endl;
-
-      ///////////////////////////////
-      //      v_{m+1} = \tilde{v}_{m+1}
-      ///////////////////////////////
-      v_m_plus_1 = (1.0 / rho) * v_m_plus_1;
-
-      ////////////////////////////////
-      // QMR recurrence coefficients.
-      ////////////////////////////////
-      theta      = s_m_minus_1 * beta;
-      gamma      = c_m_minus_1 * beta;
-      epsilon    =  c_m * gamma + s_m * alpha;
-      xi         = -s_m * gamma + c_m * alpha;
-      nu         = sqrt( xi*xi + rho*rho );
-      c_m_plus_1 = fabs(xi) / nu;
-      if ( xi == 0.0 ) {
-	s_m_plus_1 = 1.0;
-      } else {
-	s_m_plus_1 = c_m_plus_1 * rho / xi;
-      }
-      chi = c_m_plus_1 * xi + s_m_plus_1 * rho;
-
-      std::cout << "QuasiMinimalResidual coeffs "<< theta <<" "<<gamma<<" "<< epsilon<<" "<< xi<<" "<< nu<<std::endl;
-      std::cout << "QuasiMinimalResidual coeffs "<< chi   <<std::endl;
-
-      ////////////////////////////////
-      //p_m=(v_m - \epsilon p_{m-1} - \theta p_{m-2}) / \chi
-      ////////////////////////////////
-      p_m = (1.0/chi) * v_m - (epsilon/chi) * p_m_minus_1 - (theta/chi) * p_m_minus_2;
-
-      ////////////////////////////////////////////////////////////////
-      //      \psi = \psi + c_{m+1} \mu p_m	
-      ////////////////////////////////////////////////////////////////
-      x = x + ( c_m_plus_1 * mu ) * p_m;
-
-      ////////////////////////////////////////
-      //
-      ////////////////////////////////////////
-      mu              = -s_m_plus_1 * mu;
-      delta_m_minus_1 = delta_m;
-      c_m_minus_1     = c_m;
-      c_m             = c_m_plus_1;
-      s_m_minus_1     = s_m;
-      s_m             = s_m_plus_1;
-
-      ////////////////////////////////////
-      // Could use pointer swizzle games.
-      ////////////////////////////////////
-      v_m_minus_1 = v_m;
-      v_m         = v_m_plus_1;
-      p_m_minus_2 = p_m_minus_1;
-      p_m_minus_1 = p_m;
-
-
-      /////////////////////////////////////
-      // Convergence checks
-      /////////////////////////////////////
-      z1 = RealD(iter+1.0);
-      z2 = z1 + 1.0;
-      tau2 = tau2 *( z2 / z1 ) * s_m * s_m;
-      std::cout << " QuasiMinimumResidual iteration "<< iter<<std::endl;
-      std::cout << " QuasiMinimumResidual tau bound "<< tau2<<std::endl;
-
-      // Compute true residual
-      mod2r = tau2;
-      if ( 1 || (tau2 < (100.0 * target2)) ) {
-	LinOp.Op(x,tmp);
-	r = b - tmp;
-	mod2r = norm2(r);
-	std::cout << " QuasiMinimumResidual true residual is "<< mod2r<<std::endl;
-      }
-
-
-      if ( mod2r < target2 ) { 
-
-	std::cout << " QuasiMinimumResidual has converged"<<std::endl;
-	return;
-
-      }
-
-    }
-
-
-  }
-#endif
-};
-
-NAMESPACE_END(Grid);

Grid/algorithms/iterative/Reconstruct5Dprop.h

@@ -27,7 +27,51 @@ Author: Peter Boyle <paboyle@ph.ed.ac.uk>
     /*  END LEGAL */
 #pragma once
 
-NAMESPACE_BEGIN(Grid);
+namespace Grid {
+namespace QCD {
+
+
+template<class Field>
+class PauliVillarsSolverUnprec
+{
+ public:
+  ConjugateGradient<Field> & CG;
+  PauliVillarsSolverUnprec(  ConjugateGradient<Field> &_CG) : CG(_CG){};
+
+  template<class Matrix>
+  void operator() (Matrix &_Matrix,const Field &src,Field &sol)
+  {
+    RealD m = _Matrix.Mass();
+    Field A  (_Matrix.FermionGrid());
+
+    MdagMLinearOperator<Matrix,Field> HermOp(_Matrix);
+
+    _Matrix.SetMass(1.0);
+    _Matrix.Mdag(src,A);
+    CG(HermOp,A,sol);
+    _Matrix.SetMass(m);
+  };
+};
+
+template<class Field>
+class PauliVillarsSolverRBprec
+{
+ public:
+  ConjugateGradient<Field> & CG;
+  PauliVillarsSolverRBprec(  ConjugateGradient<Field> &_CG) : CG(_CG){};
+
+  template<class Matrix>
+  void operator() (Matrix &_Matrix,const Field &src,Field &sol)
+  {
+    RealD m = _Matrix.Mass();
+    Field A  (_Matrix.FermionGrid());
+
+    _Matrix.SetMass(1.0);
+    SchurRedBlackDiagMooeeSolve<Field> SchurSolver(CG);
+    SchurSolver(_Matrix,src,sol);
+    _Matrix.SetMass(m);
+  };
+};
 
 template<class Field,class PVinverter> class Reconstruct5DfromPhysical {
  private:
@@ -41,12 +85,20 @@ template<class Field,class PVinverter> class Reconstruct5DfromPhysical {
  // of the Mobius exact AMA corrections.
  //
  // TODO : understand absence of contact term in eqns in Hantao's thesis
- //        sol4 is contact term subtracted, but thesis & Brower's paper suggests not.
+ //        sol4 is contact term subtracted.
  //
- // Step 1: Localise PV inverse in a routine. [DONE]
+ // Options
+ // a) Defect correction approach:
+ //    1) Compute defect from current soln (initially guess).
+ //       This is ...... outerToInner check !!!!
+ //    2) Deflated Zmobius solve to get 4d soln
+ //       Ensure deflation is working
+ //    3) Refine 5d Outer using the inner 4d delta soln
+ // 
+ // Step 1: localise PV inverse in a routine. [DONE]
  // Step 2: Schur based PV inverse            [DONE]
- // Step 3: Fourier accelerated PV inverse    [DONE]
+ // Step 3: Fourier accelerated PV inverse
- //
+ // Step 4: 
  /////////////////////////////////////////////////////
  
   Reconstruct5DfromPhysical(PVinverter &_PauliVillarsSolver) 
@@ -130,5 +182,5 @@ template<class Field,class PVinverter> class Reconstruct5DfromPhysical {
   }
 };
 
-NAMESPACE_END(Grid);
+}
-
+}

Grid/algorithms/iterative/SchurRedBlack.h

@@ -87,25 +87,228 @@ Author: Peter Boyle <paboyle@ph.ed.ac.uk>
 namespace Grid {
 
   ///////////////////////////////////////////////////////////////////////////////////////////////////////
-  // Use base class to share code
+  // Take a matrix and form a Red Black solver calling a Herm solver
+  // Use of RB info prevents making SchurRedBlackSolve conform to standard interface
   ///////////////////////////////////////////////////////////////////////////////////////////////////////
+  // Now make the norm reflect extra factor of Mee
+  template<class Field> class SchurRedBlackStaggeredSolve {
+  private:
+    OperatorFunction<Field> & _HermitianRBSolver;
+    int CBfactorise;
+    bool subGuess;
+  public:
+
+    /////////////////////////////////////////////////////
+    // Wrap the usual normal equations Schur trick
+    /////////////////////////////////////////////////////
+  SchurRedBlackStaggeredSolve(OperatorFunction<Field> &HermitianRBSolver, const bool initSubGuess = false)  :
+     _HermitianRBSolver(HermitianRBSolver) 
+    { 
+      CBfactorise=0;
+      subtractGuess(initSubGuess);
+    };
+    void subtractGuess(const bool initSubGuess)
+    {
+      subGuess = initSubGuess;
+    }
+    bool isSubtractGuess(void)
+    {
+      return subGuess;
+    }
+
+    template<class Matrix>
+    void operator() (Matrix & _Matrix,const Field &in, Field &out){
+      ZeroGuesser<Field> guess;
+      (*this)(_Matrix,in,out,guess);
+    }
+    template<class Matrix, class Guesser>
+    void operator() (Matrix & _Matrix,const Field &in, Field &out, Guesser &guess){
+
+      // FIXME CGdiagonalMee not implemented virtual function
+      // FIXME use CBfactorise to control schur decomp
+      GridBase *grid = _Matrix.RedBlackGrid();
+      GridBase *fgrid= _Matrix.Grid();
+
+      SchurStaggeredOperator<Matrix,Field> _HermOpEO(_Matrix);
+ 
+      Field src_e(grid);
+      Field src_o(grid);
+      Field sol_e(grid);
+      Field sol_o(grid);
+      Field   tmp(grid);
+      Field  Mtmp(grid);
+      Field resid(fgrid);
+      
+      std::cout << GridLogMessage << " SchurRedBlackStaggeredSolve " <<std::endl;
+      pickCheckerboard(Even,src_e,in);
+      pickCheckerboard(Odd ,src_o,in);
+      pickCheckerboard(Even,sol_e,out);
+      pickCheckerboard(Odd ,sol_o,out);
+      std::cout << GridLogMessage << " SchurRedBlackStaggeredSolve checkerboards picked" <<std::endl;
+    
+      /////////////////////////////////////////////////////
+      // src_o = (source_o - Moe MeeInv source_e)
+      /////////////////////////////////////////////////////
+      _Matrix.MooeeInv(src_e,tmp);     assert(  tmp.checkerboard ==Even);
+      _Matrix.Meooe   (tmp,Mtmp);      assert( Mtmp.checkerboard ==Odd);     
+      tmp=src_o-Mtmp;                  assert(  tmp.checkerboard ==Odd);     
+
+      //src_o = tmp;     assert(src_o.checkerboard ==Odd);
+      _Matrix.Mooee(tmp,src_o); // Extra factor of "m" in source from dumb choice of matrix norm.
+
+      //////////////////////////////////////////////////////////////
+      // Call the red-black solver
+      //////////////////////////////////////////////////////////////
+      std::cout<<GridLogMessage << "SchurRedBlackStaggeredSolver calling the Mpc solver" <<std::endl;
+      guess(src_o, sol_o);
+      Mtmp = sol_o;
+      _HermitianRBSolver(_HermOpEO,src_o,sol_o);  assert(sol_o.checkerboard==Odd);
+      std::cout<<GridLogMessage << "SchurRedBlackStaggeredSolver called  the Mpc solver" <<std::endl;
+      // Fionn A2A boolean behavioural control
+      if (subGuess)        sol_o = sol_o-Mtmp;
+
+      ///////////////////////////////////////////////////
+      // sol_e = M_ee^-1 * ( src_e - Meo sol_o )...
+      ///////////////////////////////////////////////////
+      _Matrix.Meooe(sol_o,tmp);        assert(  tmp.checkerboard   ==Even);
+      src_e = src_e-tmp;               assert(  src_e.checkerboard ==Even);
+      _Matrix.MooeeInv(src_e,sol_e);   assert(  sol_e.checkerboard ==Even);
+     
+      std::cout<<GridLogMessage << "SchurRedBlackStaggeredSolver reconstructed other CB" <<std::endl;
+      setCheckerboard(out,sol_e); assert(  sol_e.checkerboard ==Even);
+      setCheckerboard(out,sol_o); assert(  sol_o.checkerboard ==Odd );
+      std::cout<<GridLogMessage << "SchurRedBlackStaggeredSolver inserted solution" <<std::endl;
+
+      // Verify the unprec residual
+      if ( ! subGuess ) {
+        _Matrix.M(out,resid); 
+        resid = resid-in;
+        RealD ns = norm2(in);
+        RealD nr = norm2(resid);
+        std::cout<<GridLogMessage << "SchurRedBlackStaggered solver true unprec resid "<< std::sqrt(nr/ns) <<" nr "<< nr <<" ns "<<ns << std::endl;
+      } else {
+        std::cout << GridLogMessage << "Guess subtracted after solve." << std::endl;
+      }
+    }     
+  };
+  template<class Field> using SchurRedBlackStagSolve = SchurRedBlackStaggeredSolve<Field>;
+
   ///////////////////////////////////////////////////////////////////////////////////////////////////////
   // Take a matrix and form a Red Black solver calling a Herm solver
   // Use of RB info prevents making SchurRedBlackSolve conform to standard interface
   ///////////////////////////////////////////////////////////////////////////////////////////////////////
-  template<class Field> class SchurRedBlackBase {
+  template<class Field> class SchurRedBlackDiagMooeeSolve {
-  protected:
+  private:
-    typedef CheckerBoardedSparseMatrixBase<Field> Matrix;
     OperatorFunction<Field> & _HermitianRBSolver;
     int CBfactorise;
     bool subGuess;
-    bool useSolnAsInitGuess; // if true user-supplied solution vector is used as initial guess for solver
   public:
 
-    SchurRedBlackBase(OperatorFunction<Field> &HermitianRBSolver, const bool initSubGuess = false,
+    /////////////////////////////////////////////////////
-        const bool _solnAsInitGuess = false)  :
+    // Wrap the usual normal equations Schur trick
-    _HermitianRBSolver(HermitianRBSolver),
+    /////////////////////////////////////////////////////
-    useSolnAsInitGuess(_solnAsInitGuess)
+  SchurRedBlackDiagMooeeSolve(OperatorFunction<Field> &HermitianRBSolver,int cb=0, const bool initSubGuess = false)  :  _HermitianRBSolver(HermitianRBSolver) 
+  { 
+    CBfactorise=cb;
+    subtractGuess(initSubGuess);
+  };
+    void subtractGuess(const bool initSubGuess)
+    {
+      subGuess = initSubGuess;
+    }
+    bool isSubtractGuess(void)
+    {
+      return subGuess;
+    }
+    template<class Matrix>
+    void operator() (Matrix & _Matrix,const Field &in, Field &out){
+      ZeroGuesser<Field> guess;
+      (*this)(_Matrix,in,out,guess);
+    }
+    template<class Matrix, class Guesser>
+    void operator() (Matrix & _Matrix,const Field &in, Field &out,Guesser &guess){
+
+      // FIXME CGdiagonalMee not implemented virtual function
+      // FIXME use CBfactorise to control schur decomp
+      GridBase *grid = _Matrix.RedBlackGrid();
+      GridBase *fgrid= _Matrix.Grid();
+
+      SchurDiagMooeeOperator<Matrix,Field> _HermOpEO(_Matrix);
+ 
+      Field src_e(grid);
+      Field src_o(grid);
+      Field sol_e(grid);
+      Field sol_o(grid);
+      Field   tmp(grid);
+      Field  Mtmp(grid);
+      Field resid(fgrid);
+
+      pickCheckerboard(Even,src_e,in);
+      pickCheckerboard(Odd ,src_o,in);
+      pickCheckerboard(Even,sol_e,out);
+      pickCheckerboard(Odd ,sol_o,out);
+    
+      /////////////////////////////////////////////////////
+      // src_o = Mdag * (source_o - Moe MeeInv source_e)
+      /////////////////////////////////////////////////////
+      _Matrix.MooeeInv(src_e,tmp);     assert(  tmp.checkerboard ==Even);
+      _Matrix.Meooe   (tmp,Mtmp);      assert( Mtmp.checkerboard ==Odd);     
+      tmp=src_o-Mtmp;                  assert(  tmp.checkerboard ==Odd);     
+
+      // get the right MpcDag
+      _HermOpEO.MpcDag(tmp,src_o);     assert(src_o.checkerboard ==Odd);       
+
+      //////////////////////////////////////////////////////////////
+      // Call the red-black solver
+      //////////////////////////////////////////////////////////////
+      std::cout<<GridLogMessage << "SchurRedBlack solver calling the MpcDagMp solver" <<std::endl;
+      guess(src_o,sol_o);
+      Mtmp = sol_o;
+      _HermitianRBSolver(_HermOpEO,src_o,sol_o);  assert(sol_o.checkerboard==Odd);
+      // Fionn A2A boolean behavioural control
+      if (subGuess)        sol_o = sol_o-Mtmp;
+
+      ///////////////////////////////////////////////////
+      // sol_e = M_ee^-1 * ( src_e - Meo sol_o )...
+      ///////////////////////////////////////////////////
+      _Matrix.Meooe(sol_o,tmp);        assert(  tmp.checkerboard   ==Even);
+      src_e = src_e-tmp;               assert(  src_e.checkerboard ==Even);
+      _Matrix.MooeeInv(src_e,sol_e);   assert(  sol_e.checkerboard ==Even);
+     
+      setCheckerboard(out,sol_e); assert(  sol_e.checkerboard ==Even);
+      setCheckerboard(out,sol_o); assert(  sol_o.checkerboard ==Odd );
+
+      // Verify the unprec residual
+      if ( ! subGuess ) {
+        _Matrix.M(out,resid); 
+        resid = resid-in;
+        RealD ns = norm2(in);
+        RealD nr = norm2(resid);
+
+        std::cout<<GridLogMessage << "SchurRedBlackDiagMooee solver true unprec resid "<< std::sqrt(nr/ns) <<" nr "<< nr <<" ns "<<ns << std::endl;
+      } else {
+        std::cout << GridLogMessage << "Guess subtracted after solve." << std::endl;
+      }
+    }     
+  };
+
+
+  ///////////////////////////////////////////////////////////////////////////////////////////////////////
+  // Take a matrix and form a Red Black solver calling a Herm solver
+  // Use of RB info prevents making SchurRedBlackSolve conform to standard interface
+  ///////////////////////////////////////////////////////////////////////////////////////////////////////
+  template<class Field> class SchurRedBlackDiagTwoSolve {
+  private:
+    OperatorFunction<Field> & _HermitianRBSolver;
+    int CBfactorise;
+    bool subGuess;
+  public:
+
+    /////////////////////////////////////////////////////
+    // Wrap the usual normal equations Schur trick
+    /////////////////////////////////////////////////////
+  SchurRedBlackDiagTwoSolve(OperatorFunction<Field> &HermitianRBSolver, const bool initSubGuess = false)  :
+     _HermitianRBSolver(HermitianRBSolver) 
     { 
       CBfactorise = 0;
       subtractGuess(initSubGuess);
@@ -119,120 +322,12 @@ namespace Grid {
       return subGuess;
     }
 
-    /////////////////////////////////////////////////////////////
+    template<class Matrix>
-    // Shared code
-    /////////////////////////////////////////////////////////////
     void operator() (Matrix & _Matrix,const Field &in, Field &out){
       ZeroGuesser<Field> guess;
       (*this)(_Matrix,in,out,guess);
     }
-    void operator()(Matrix &_Matrix, const std::vector<Field> &in, std::vector<Field> &out) 
+    template<class Matrix,class Guesser>
-    {
-      ZeroGuesser<Field> guess;
-      (*this)(_Matrix,in,out,guess);
-    }
-
-    void RedBlackSource(Matrix &_Matrix, const std::vector<Field> &in, std::vector<Field> &src_o) 
-    {
-      GridBase *grid = _Matrix.RedBlackGrid();
-      Field tmp(grid);
-      int nblock = in.size();
-      for(int b=0;b<nblock;b++){
-	RedBlackSource(_Matrix,in[b],tmp,src_o[b]);
-      }
-    }
-    // James can write his own deflated guesser
-    // with optimised code for the inner products
-    //    RedBlackSolveSplitGrid();
-    //    RedBlackSolve(_Matrix,src_o,sol_o); 
-
-    void RedBlackSolution(Matrix &_Matrix, const std::vector<Field> &in, const std::vector<Field> &sol_o, std::vector<Field> &out)
-    {
-      GridBase *grid = _Matrix.RedBlackGrid();
-      Field tmp(grid);
-      int nblock = in.size();
-      for(int b=0;b<nblock;b++) {
-	pickCheckerboard(Even,tmp,in[b]);
-	RedBlackSolution(_Matrix,sol_o[b],tmp,out[b]);
-      }
-    }
-
-    template<class Guesser>
-    void operator()(Matrix &_Matrix, const std::vector<Field> &in, std::vector<Field> &out,Guesser &guess) 
-    {
-      GridBase *grid = _Matrix.RedBlackGrid();
-      GridBase *fgrid= _Matrix.Grid();
-      int nblock = in.size();
-
-      std::vector<Field> src_o(nblock,grid);
-      std::vector<Field> sol_o(nblock,grid);
-      
-      std::vector<Field> guess_save;
-
-      Field resid(fgrid);
-      Field tmp(grid);
-
-      ////////////////////////////////////////////////
-      // Prepare RedBlack source
-      ////////////////////////////////////////////////
-      RedBlackSource(_Matrix,in,src_o);
-	//      for(int b=0;b<nblock;b++){
-	//	RedBlackSource(_Matrix,in[b],tmp,src_o[b]);
-	//      }
-      
-      ////////////////////////////////////////////////
-      // Make the guesses
-      ////////////////////////////////////////////////
-      if ( subGuess ) guess_save.resize(nblock,grid);
-
-      
-      if(useSolnAsInitGuess) {
-        for(int b=0;b<nblock;b++){
-          pickCheckerboard(Odd, sol_o[b], out[b]);
-        }
-      } else {
-        guess(src_o, sol_o); 
-      }
-
-	    if ( subGuess ) { 
-        for(int b=0;b<nblock;b++){
-          guess_save[b] = sol_o[b];
-        }
-      }
-      //////////////////////////////////////////////////////////////
-      // Call the block solver
-      //////////////////////////////////////////////////////////////
-      std::cout<<GridLogMessage << "SchurRedBlackBase calling the solver for "<<nblock<<" RHS" <<std::endl;
-      RedBlackSolve(_Matrix,src_o,sol_o);
-
-      ////////////////////////////////////////////////
-      // A2A boolean behavioural control & reconstruct other checkerboard
-      ////////////////////////////////////////////////
-      for(int b=0;b<nblock;b++) {
-
-	if (subGuess)   sol_o[b] = sol_o[b] - guess_save[b];
-
-	///////// Needs even source //////////////
-	pickCheckerboard(Even,tmp,in[b]);
-	RedBlackSolution(_Matrix,sol_o[b],tmp,out[b]);
-
-	/////////////////////////////////////////////////
-	// Check unprec residual if possible
-	/////////////////////////////////////////////////
-	if ( ! subGuess ) {
-	  _Matrix.M(out[b],resid); 
-	  resid = resid-in[b];
-	  RealD ns = norm2(in[b]);
-	  RealD nr = norm2(resid);
-	
-	  std::cout<<GridLogMessage<< "SchurRedBlackBase solver true unprec resid["<<b<<"] "<<std::sqrt(nr/ns) << std::endl;
-	} else {
-	  std::cout<<GridLogMessage<< "SchurRedBlackBase Guess subtracted after solve["<<b<<"] " << std::endl;
-	}
-
-      }
-    }
-    template<class Guesser>
     void operator() (Matrix & _Matrix,const Field &in, Field &out,Guesser &guess){
 
       // FIXME CGdiagonalMee not implemented virtual function
@@ -240,42 +335,52 @@ namespace Grid {
       GridBase *grid = _Matrix.RedBlackGrid();
       GridBase *fgrid= _Matrix.Grid();
 
-      Field resid(fgrid);
+      SchurDiagTwoOperator<Matrix,Field> _HermOpEO(_Matrix);
-      Field src_o(grid);
+ 
       Field src_e(grid);
+      Field src_o(grid);
+      Field sol_e(grid);
       Field sol_o(grid);
+      Field   tmp(grid);
+      Field  Mtmp(grid);
+      Field resid(fgrid);
 
-      ////////////////////////////////////////////////
+      pickCheckerboard(Even,src_e,in);
-      // RedBlack source
+      pickCheckerboard(Odd ,src_o,in);
-      ////////////////////////////////////////////////
+      pickCheckerboard(Even,sol_e,out);
-      RedBlackSource(_Matrix,in,src_e,src_o);
+      pickCheckerboard(Odd ,sol_o,out);
     
-      ////////////////////////////////
+      /////////////////////////////////////////////////////
-      // Construct the guess
+      // src_o = Mdag * (source_o - Moe MeeInv source_e)
-      ////////////////////////////////
+      /////////////////////////////////////////////////////
-      if(useSolnAsInitGuess) {
+      _Matrix.MooeeInv(src_e,tmp);     assert(  tmp.checkerboard ==Even);
-        pickCheckerboard(Odd, sol_o, out);
+      _Matrix.Meooe   (tmp,Mtmp);      assert( Mtmp.checkerboard ==Odd);     
-      } else {
+      tmp=src_o-Mtmp;                  assert(  tmp.checkerboard ==Odd);     
-        guess(src_o,sol_o);
-      }
 
-      Field  guess_save(grid);
+      // get the right MpcDag
-      guess_save = sol_o;
+      _HermOpEO.MpcDag(tmp,src_o);     assert(src_o.checkerboard ==Odd);       
 
       //////////////////////////////////////////////////////////////
       // Call the red-black solver
       //////////////////////////////////////////////////////////////
-      RedBlackSolve(_Matrix,src_o,sol_o);
+      std::cout<<GridLogMessage << "SchurRedBlack solver calling the MpcDagMp solver" <<std::endl;
-
+//      _HermitianRBSolver(_HermOpEO,src_o,sol_o);  assert(sol_o.checkerboard==Odd);
-      ////////////////////////////////////////////////
+      guess(src_o,tmp);
+      Mtmp = tmp;
+      _HermitianRBSolver(_HermOpEO,src_o,tmp);  assert(tmp.checkerboard==Odd);
       // Fionn A2A boolean behavioural control
-      ////////////////////////////////////////////////
+      if (subGuess)      tmp = tmp-Mtmp;
-      if (subGuess)      sol_o= sol_o-guess_save;
+      _Matrix.MooeeInv(tmp,sol_o);       assert(  sol_o.checkerboard   ==Odd);
 
       ///////////////////////////////////////////////////
-      // RedBlack solution needs the even source
+      // sol_e = M_ee^-1 * ( src_e - Meo sol_o )...
       ///////////////////////////////////////////////////
-      RedBlackSolution(_Matrix,sol_o,src_e,out);
+      _Matrix.Meooe(sol_o,tmp);        assert(  tmp.checkerboard   ==Even);
+      src_e = src_e-tmp;               assert(  src_e.checkerboard ==Even);
+      _Matrix.MooeeInv(src_e,sol_e);   assert(  sol_e.checkerboard ==Even);
+     
+      setCheckerboard(out,sol_e); assert(  sol_e.checkerboard ==Even);
+      setCheckerboard(out,sol_o); assert(  sol_o.checkerboard ==Odd );
 
       // Verify the unprec residual
       if ( ! subGuess ) {
@@ -284,449 +389,115 @@ namespace Grid {
         RealD ns = norm2(in);
         RealD nr = norm2(resid);
 
-        std::cout<<GridLogMessage << "SchurRedBlackBase solver true unprec resid "<< std::sqrt(nr/ns) << std::endl;
+        std::cout<<GridLogMessage << "SchurRedBlackDiagTwo solver true unprec resid "<< std::sqrt(nr/ns) <<" nr "<< nr <<" ns "<<ns << std::endl;
       } else {
-        std::cout << GridLogMessage << "SchurRedBlackBase Guess subtracted after solve." << std::endl;
+        std::cout << GridLogMessage << "Guess subtracted after solve." << std::endl;
       }
     }     
-    
-    /////////////////////////////////////////////////////////////
-    // Override in derived. 
-    /////////////////////////////////////////////////////////////
-    virtual void RedBlackSource  (Matrix & _Matrix,const Field &src, Field &src_e,Field &src_o)                =0;
-    virtual void RedBlackSolution(Matrix & _Matrix,const Field &sol_o, const Field &src_e,Field &sol)          =0;
-    virtual void RedBlackSolve   (Matrix & _Matrix,const Field &src_o, Field &sol_o)                           =0;
-    virtual void RedBlackSolve   (Matrix & _Matrix,const std::vector<Field> &src_o,  std::vector<Field> &sol_o)=0;
-
   };
-
+  ///////////////////////////////////////////////////////////////////////////////////////////////////////
-  template<class Field> class SchurRedBlackStaggeredSolve : public SchurRedBlackBase<Field> {
+  // Take a matrix and form a Red Black solver calling a Herm solver
+  // Use of RB info prevents making SchurRedBlackSolve conform to standard interface
+  ///////////////////////////////////////////////////////////////////////////////////////////////////////
+  template<class Field> class SchurRedBlackDiagTwoMixed {
+  private:
+    LinearFunction<Field> & _HermitianRBSolver;
+    int CBfactorise;
+    bool subGuess;
   public:
-    typedef CheckerBoardedSparseMatrixBase<Field> Matrix;
-
-    SchurRedBlackStaggeredSolve(OperatorFunction<Field> &HermitianRBSolver, const bool initSubGuess = false,
-        const bool _solnAsInitGuess = false) 
-      :    SchurRedBlackBase<Field> (HermitianRBSolver,initSubGuess,_solnAsInitGuess) 
-    {
-    }
-
-    //////////////////////////////////////////////////////
-    // Override RedBlack specialisation
-    //////////////////////////////////////////////////////
-    virtual void RedBlackSource(Matrix & _Matrix,const Field &src, Field &src_e,Field &src_o)
-    {
-      GridBase *grid = _Matrix.RedBlackGrid();
-      GridBase *fgrid= _Matrix.Grid();
-
-      Field   tmp(grid);
-      Field  Mtmp(grid);
-
-      pickCheckerboard(Even,src_e,src);
-      pickCheckerboard(Odd ,src_o,src);
-
-      /////////////////////////////////////////////////////
-      // src_o = (source_o - Moe MeeInv source_e)
-      /////////////////////////////////////////////////////
-      _Matrix.MooeeInv(src_e,tmp);     GRID_ASSERT(  tmp.Checkerboard() ==Even);
-      _Matrix.Meooe   (tmp,Mtmp);      GRID_ASSERT( Mtmp.Checkerboard() ==Odd);     
-      tmp=src_o-Mtmp;                  GRID_ASSERT(  tmp.Checkerboard() ==Odd);     
-
-      _Matrix.Mooee(tmp,src_o); // Extra factor of "m" in source from dumb choice of matrix norm.
-    }
-    virtual void RedBlackSolution(Matrix & _Matrix,const Field &sol_o, const Field &src_e_c,Field &sol)
-    {
-      GridBase *grid = _Matrix.RedBlackGrid();
-      GridBase *fgrid= _Matrix.Grid();
-
-      Field   tmp(grid);
-      Field   sol_e(grid);
-      Field   src_e(grid);
-
-      src_e = src_e_c; // Const correctness
-
-      ///////////////////////////////////////////////////
-      // sol_e = M_ee^-1 * ( src_e - Meo sol_o )...
-      ///////////////////////////////////////////////////
-      _Matrix.Meooe(sol_o,tmp);        GRID_ASSERT(  tmp.Checkerboard()   ==Even);
-      src_e = src_e-tmp;               GRID_ASSERT(  src_e.Checkerboard() ==Even);
-      _Matrix.MooeeInv(src_e,sol_e);   GRID_ASSERT(  sol_e.Checkerboard() ==Even);
-     
-      setCheckerboard(sol,sol_e); GRID_ASSERT(  sol_e.Checkerboard() ==Even);
-      setCheckerboard(sol,sol_o); GRID_ASSERT(  sol_o.Checkerboard() ==Odd );
-    }
-    virtual void RedBlackSolve   (Matrix & _Matrix,const Field &src_o, Field &sol_o)
-    {
-      SchurStaggeredOperator<Matrix,Field> _HermOpEO(_Matrix);
-      this->_HermitianRBSolver(_HermOpEO,src_o,sol_o);  GRID_ASSERT(sol_o.Checkerboard()==Odd);
-    };
-    virtual void RedBlackSolve   (Matrix & _Matrix,const std::vector<Field> &src_o,  std::vector<Field> &sol_o)
-    {
-      SchurStaggeredOperator<Matrix,Field> _HermOpEO(_Matrix);
-      this->_HermitianRBSolver(_HermOpEO,src_o,sol_o); 
-    }
-  };
-  template<class Field> using SchurRedBlackStagSolve = SchurRedBlackStaggeredSolve<Field>;
-
-  ///////////////////////////////////////////////////////////////////////////////////////////////////////
-  // Site diagonal has Mooee on it.
-  ///////////////////////////////////////////////////////////////////////////////////////////////////////
-  template<class Field> class SchurRedBlackDiagMooeeSolve : public SchurRedBlackBase<Field> {
-  public:
-    typedef CheckerBoardedSparseMatrixBase<Field> Matrix;
-
-    SchurRedBlackDiagMooeeSolve(OperatorFunction<Field> &HermitianRBSolver, const bool initSubGuess = false,
-        const bool _solnAsInitGuess = false)  
-      : SchurRedBlackBase<Field> (HermitianRBSolver,initSubGuess,_solnAsInitGuess) {};
-
-
-    //////////////////////////////////////////////////////
-    // Override RedBlack specialisation
-    //////////////////////////////////////////////////////
-    virtual void RedBlackSource(Matrix & _Matrix,const Field &src, Field &src_e,Field &src_o)
-    {
-      GridBase *grid = _Matrix.RedBlackGrid();
-      GridBase *fgrid= _Matrix.Grid();
-
-      Field   tmp(grid);
-      Field  Mtmp(grid);
-
-      pickCheckerboard(Even,src_e,src);
-      pickCheckerboard(Odd ,src_o,src);
-
-      /////////////////////////////////////////////////////
-      // src_o = Mdag * (source_o - Moe MeeInv source_e)
-      /////////////////////////////////////////////////////
-      _Matrix.MooeeInv(src_e,tmp);     GRID_ASSERT(  tmp.Checkerboard() ==Even);
-      _Matrix.Meooe   (tmp,Mtmp);      GRID_ASSERT( Mtmp.Checkerboard() ==Odd);     
-      tmp=src_o-Mtmp;                  GRID_ASSERT(  tmp.Checkerboard() ==Odd);     
-
-      // get the right MpcDag
-      SchurDiagMooeeOperator<Matrix,Field> _HermOpEO(_Matrix);
-      _HermOpEO.MpcDag(tmp,src_o);     GRID_ASSERT(src_o.Checkerboard() ==Odd);       
-
-    }
-    virtual void RedBlackSolution(Matrix & _Matrix,const Field &sol_o, const Field &src_e,Field &sol)
-    {
-      GridBase *grid = _Matrix.RedBlackGrid();
-      GridBase *fgrid= _Matrix.Grid();
-
-      Field   tmp(grid);
-      Field  sol_e(grid);
-      Field  src_e_i(grid);
-      ///////////////////////////////////////////////////
-      // sol_e = M_ee^-1 * ( src_e - Meo sol_o )...
-      ///////////////////////////////////////////////////
-      _Matrix.Meooe(sol_o,tmp);          GRID_ASSERT(  tmp.Checkerboard()   ==Even);
-      src_e_i = src_e-tmp;               GRID_ASSERT(  src_e_i.Checkerboard() ==Even);
-      _Matrix.MooeeInv(src_e_i,sol_e);   GRID_ASSERT(  sol_e.Checkerboard() ==Even);
-     
-      setCheckerboard(sol,sol_e); GRID_ASSERT(  sol_e.Checkerboard() ==Even);
-      setCheckerboard(sol,sol_o); GRID_ASSERT(  sol_o.Checkerboard() ==Odd );
-    }
-    virtual void RedBlackSolve   (Matrix & _Matrix,const Field &src_o, Field &sol_o)
-    {
-      SchurDiagMooeeOperator<Matrix,Field> _HermOpEO(_Matrix);
-      this->_HermitianRBSolver(_HermOpEO,src_o,sol_o);  GRID_ASSERT(sol_o.Checkerboard()==Odd);
-    };
-    virtual void RedBlackSolve   (Matrix & _Matrix,const std::vector<Field> &src_o,  std::vector<Field> &sol_o)
-    {
-      SchurDiagMooeeOperator<Matrix,Field> _HermOpEO(_Matrix);
-      this->_HermitianRBSolver(_HermOpEO,src_o,sol_o); 
-    }
-  };
-
-  template<class Field> class NonHermitianSchurRedBlackDiagMooeeSolve : public SchurRedBlackBase<Field> 
-  {
-    public:
-      typedef CheckerBoardedSparseMatrixBase<Field> Matrix;
-
-      NonHermitianSchurRedBlackDiagMooeeSolve(OperatorFunction<Field>& RBSolver, const bool initSubGuess = false,
-          const bool _solnAsInitGuess = false)  
-      : SchurRedBlackBase<Field>(RBSolver, initSubGuess, _solnAsInitGuess) {};
-
-      //////////////////////////////////////////////////////
-      // Override RedBlack specialisation
-      //////////////////////////////////////////////////////
-      virtual void RedBlackSource(Matrix& _Matrix, const Field& src, Field& src_e, Field& src_o)
-      {
-        GridBase* grid  = _Matrix.RedBlackGrid();
-        GridBase* fgrid = _Matrix.Grid();
-
-        Field  tmp(grid);
-        Field Mtmp(grid);
-
-        pickCheckerboard(Even, src_e, src);
-        pickCheckerboard(Odd , src_o, src);
-
-        /////////////////////////////////////////////////////
-        // src_o = Mdag * (source_o - Moe MeeInv source_e)
-        /////////////////////////////////////////////////////
-        _Matrix.MooeeInv(src_e, tmp);   GRID_ASSERT(   tmp.Checkerboard() == Even );
-        _Matrix.Meooe   (tmp, Mtmp);    GRID_ASSERT(  Mtmp.Checkerboard() == Odd  );     
-        src_o -= Mtmp;                  GRID_ASSERT( src_o.Checkerboard() == Odd  );     
-      }
-      
-      virtual void RedBlackSolution(Matrix& _Matrix, const Field& sol_o, const Field& src_e, Field& sol)
-      {
-        GridBase* grid  = _Matrix.RedBlackGrid();
-        GridBase* fgrid = _Matrix.Grid();
-
-        Field     tmp(grid);
-        Field   sol_e(grid);
-        Field src_e_i(grid);
-        
-        ///////////////////////////////////////////////////
-        // sol_e = M_ee^-1 * ( src_e - Meo sol_o )...
-        ///////////////////////////////////////////////////
-        _Matrix.Meooe(sol_o, tmp);         GRID_ASSERT(     tmp.Checkerboard() == Even );
-        src_e_i = src_e - tmp;             GRID_ASSERT( src_e_i.Checkerboard() == Even );
-        _Matrix.MooeeInv(src_e_i, sol_e);  GRID_ASSERT(   sol_e.Checkerboard() == Even );
-       
-        setCheckerboard(sol, sol_e); GRID_ASSERT( sol_e.Checkerboard() == Even );
-        setCheckerboard(sol, sol_o); GRID_ASSERT( sol_o.Checkerboard() == Odd  );
-      }
-
-      virtual void RedBlackSolve(Matrix& _Matrix, const Field& src_o, Field& sol_o)
-      {
-        NonHermitianSchurDiagMooeeOperator<Matrix,Field> _OpEO(_Matrix);
-        this->_HermitianRBSolver(_OpEO, src_o, sol_o);  GRID_ASSERT(sol_o.Checkerboard() == Odd);
-      }
-
-      virtual void RedBlackSolve(Matrix& _Matrix, const std::vector<Field>& src_o, std::vector<Field>& sol_o)
-      {
-        NonHermitianSchurDiagMooeeOperator<Matrix,Field> _OpEO(_Matrix);
-        this->_HermitianRBSolver(_OpEO, src_o, sol_o); 
-      }
-  };
-
-  ///////////////////////////////////////////////////////////////////////////////////////////////////////
-  // Site diagonal is identity, left preconditioned by Mee^inv
-  // ( 1 - Mee^inv Meo Moo^inv Moe ) phi = Mee_inv ( Mee - Meo Moo^inv Moe Mee^inv  ) phi =  Mee_inv eta
-  //
-  // Solve:
-  // ( 1 - Mee^inv Meo Moo^inv Moe )^dag ( 1 - Mee^inv Meo Moo^inv Moe ) phi = ( 1 - Mee^inv Meo Moo^inv Moe )^dag  Mee_inv eta
-  //
-  // Old notation e<->o
-  //
-  // Left precon by Moo^-1
-  //  b) (Doo^{dag} M_oo^-dag) (Moo^-1 Doo) psi_o =  [ (D_oo)^dag M_oo^-dag ] Moo^-1 L^{-1}  eta_o
-  //                                   eta_o'     = (D_oo)^dag  M_oo^-dag Moo^-1 (eta_o - Moe Mee^{-1} eta_e)
-  ///////////////////////////////////////////////////////////////////////////////////////////////////////
-  template<class Field> class SchurRedBlackDiagOneSolve : public SchurRedBlackBase<Field> {
-  public:
-    typedef CheckerBoardedSparseMatrixBase<Field> Matrix;
 
     /////////////////////////////////////////////////////
     // Wrap the usual normal equations Schur trick
     /////////////////////////////////////////////////////
-  SchurRedBlackDiagOneSolve(OperatorFunction<Field> &HermitianRBSolver, const bool initSubGuess = false,
+  SchurRedBlackDiagTwoMixed(LinearFunction<Field> &HermitianRBSolver, const bool initSubGuess = false)  :
-      const bool _solnAsInitGuess = false)  
+     _HermitianRBSolver(HermitianRBSolver) 
-    : SchurRedBlackBase<Field>(HermitianRBSolver,initSubGuess,_solnAsInitGuess) {};
-
-    virtual void RedBlackSource(Matrix & _Matrix,const Field &src, Field &src_e,Field &src_o)
     { 
-      GridBase *grid = _Matrix.RedBlackGrid();
+      CBfactorise=0;
-      GridBase *fgrid= _Matrix.Grid();
+      subtractGuess(initSubGuess);
-
+    };
-      SchurDiagOneOperator<Matrix,Field> _HermOpEO(_Matrix);
+    void subtractGuess(const bool initSubGuess)
-      
+    {
-      Field   tmp(grid);
+      subGuess = initSubGuess;
-      Field  Mtmp(grid);
+    }
-
+    bool isSubtractGuess(void)
-      pickCheckerboard(Even,src_e,src);
+    {
-      pickCheckerboard(Odd ,src_o,src);
+      return subGuess;
-    
-      /////////////////////////////////////////////////////
-      // src_o = Mpcdag *MooeeInv * (source_o - Moe MeeInv source_e)
-      /////////////////////////////////////////////////////
-      _Matrix.MooeeInv(src_e,tmp);     GRID_ASSERT(  tmp.Checkerboard() ==Even);
-      _Matrix.Meooe   (tmp,Mtmp);      GRID_ASSERT( Mtmp.Checkerboard() ==Odd);     
-      Mtmp=src_o-Mtmp;                 
-      _Matrix.MooeeInv(Mtmp,tmp);      GRID_ASSERT( tmp.Checkerboard() ==Odd);     
-      
-      // get the right MpcDag
-      _HermOpEO.MpcDag(tmp,src_o);     GRID_ASSERT(src_o.Checkerboard() ==Odd);       
     }
 
-    virtual void RedBlackSolution(Matrix & _Matrix,const Field &sol_o, const Field &src_e,Field &sol)
+    template<class Matrix>
-    {
+    void operator() (Matrix & _Matrix,const Field &in, Field &out){
-      GridBase *grid = _Matrix.RedBlackGrid();
+      ZeroGuesser<Field> guess;
-      GridBase *fgrid= _Matrix.Grid();
+      (*this)(_Matrix,in,out,guess);
-
-      Field   tmp(grid);
-      Field   sol_e(grid);
-
-
-      ///////////////////////////////////////////////////
-      // sol_e = M_ee^-1 * ( src_e - Meo sol_o )...
-      ///////////////////////////////////////////////////
-      _Matrix.Meooe(sol_o,tmp);    GRID_ASSERT(  tmp.Checkerboard()   ==Even);
-      tmp = src_e-tmp;             GRID_ASSERT(  src_e.Checkerboard() ==Even);
-      _Matrix.MooeeInv(tmp,sol_e); GRID_ASSERT(  sol_e.Checkerboard() ==Even);
-     
-      setCheckerboard(sol,sol_e);  GRID_ASSERT(  sol_e.Checkerboard() ==Even);
-      setCheckerboard(sol,sol_o);  GRID_ASSERT(  sol_o.Checkerboard() ==Odd );
-    };
-
-    virtual void RedBlackSolve   (Matrix & _Matrix,const Field &src_o, Field &sol_o)
-    {
-      SchurDiagOneOperator<Matrix,Field> _HermOpEO(_Matrix);
-      this->_HermitianRBSolver(_HermOpEO,src_o,sol_o);
-    };
-    virtual void RedBlackSolve   (Matrix & _Matrix,const std::vector<Field> &src_o,  std::vector<Field> &sol_o)
-    {
-      SchurDiagOneOperator<Matrix,Field> _HermOpEO(_Matrix);
-      this->_HermitianRBSolver(_HermOpEO,src_o,sol_o); 
     }
-  };
+    template<class Matrix, class Guesser>
+    void operator() (Matrix & _Matrix,const Field &in, Field &out,Guesser &guess){
 
-  ///////////////////////////////////////////////////////////////////////////////////////////////////////
+      // FIXME CGdiagonalMee not implemented virtual function
-  // Site diagonal is identity, right preconditioned by Mee^inv
+      // FIXME use CBfactorise to control schur decomp
-  // ( 1 - Meo Moo^inv Moe Mee^inv  ) phi =( 1 - Meo Moo^inv Moe Mee^inv  ) Mee psi =  = eta  = eta
-  //=> psi = MeeInv phi
-  ///////////////////////////////////////////////////////////////////////////////////////////////////////
-  template<class Field> class SchurRedBlackDiagTwoSolve : public SchurRedBlackBase<Field> {
-  public:
-    typedef CheckerBoardedSparseMatrixBase<Field> Matrix;
-
-    /////////////////////////////////////////////////////
-    // Wrap the usual normal equations Schur trick
-    /////////////////////////////////////////////////////
-  SchurRedBlackDiagTwoSolve(OperatorFunction<Field> &HermitianRBSolver, const bool initSubGuess = false,
-      const bool _solnAsInitGuess = false)  
-    : SchurRedBlackBase<Field>(HermitianRBSolver,initSubGuess,_solnAsInitGuess) {};
-
-    virtual void RedBlackSource(Matrix & _Matrix,const Field &src, Field &src_e,Field &src_o)
-    {
       GridBase *grid = _Matrix.RedBlackGrid();
       GridBase *fgrid= _Matrix.Grid();
 
       SchurDiagTwoOperator<Matrix,Field> _HermOpEO(_Matrix);
  
+      Field src_e(grid);
+      Field src_o(grid);
+      Field sol_e(grid);
+      Field sol_o(grid);
       Field   tmp(grid);
       Field  Mtmp(grid);
+      Field resid(fgrid);
 
-      pickCheckerboard(Even,src_e,src);
+      pickCheckerboard(Even,src_e,in);
-      pickCheckerboard(Odd ,src_o,src);
+      pickCheckerboard(Odd ,src_o,in);
+      pickCheckerboard(Even,sol_e,out);
+      pickCheckerboard(Odd ,sol_o,out);
     
       /////////////////////////////////////////////////////
       // src_o = Mdag * (source_o - Moe MeeInv source_e)
       /////////////////////////////////////////////////////
-      _Matrix.MooeeInv(src_e,tmp);     GRID_ASSERT(  tmp.Checkerboard() ==Even);
+      _Matrix.MooeeInv(src_e,tmp);     assert(  tmp.checkerboard ==Even);
-      _Matrix.Meooe   (tmp,Mtmp);      GRID_ASSERT( Mtmp.Checkerboard() ==Odd);     
+      _Matrix.Meooe   (tmp,Mtmp);      assert( Mtmp.checkerboard ==Odd);     
-      tmp=src_o-Mtmp;                  GRID_ASSERT(  tmp.Checkerboard() ==Odd);     
+      tmp=src_o-Mtmp;                  assert(  tmp.checkerboard ==Odd);     
 
       // get the right MpcDag
-      _HermOpEO.MpcDag(tmp,src_o);     GRID_ASSERT(src_o.Checkerboard() ==Odd);       
+      _HermOpEO.MpcDag(tmp,src_o);     assert(src_o.checkerboard ==Odd);       
-    }
 
-    virtual void RedBlackSolution(Matrix & _Matrix,const Field &sol_o, const Field &src_e,Field &sol)
+      //////////////////////////////////////////////////////////////
-    {
+      // Call the red-black solver
-      GridBase *grid = _Matrix.RedBlackGrid();
+      //////////////////////////////////////////////////////////////
-      GridBase *fgrid= _Matrix.Grid();
+      std::cout<<GridLogMessage << "SchurRedBlack solver calling the MpcDagMp solver" <<std::endl;
-
+//      _HermitianRBSolver(_HermOpEO,src_o,sol_o);  assert(sol_o.checkerboard==Odd);
-      Field   sol_o_i(grid);
+//      _HermitianRBSolver(_HermOpEO,src_o,tmp);  assert(tmp.checkerboard==Odd);
-      Field   tmp(grid);
+      guess(src_o,tmp);
-      Field   sol_e(grid);
+      Mtmp = tmp;
-
+      _HermitianRBSolver(_HermOpEO,src_o,tmp);  assert(tmp.checkerboard==Odd);
-      ////////////////////////////////////////////////
+      // Fionn A2A boolean behavioural control
-      // MooeeInv due to pecond
+      if (subGuess)      tmp = tmp-Mtmp;
-      ////////////////////////////////////////////////
+      _Matrix.MooeeInv(tmp,sol_o);        assert(  sol_o.checkerboard   ==Odd);
-      _Matrix.MooeeInv(sol_o,tmp);
-      sol_o_i = tmp;
 
       ///////////////////////////////////////////////////
       // sol_e = M_ee^-1 * ( src_e - Meo sol_o )...
       ///////////////////////////////////////////////////
-      _Matrix.Meooe(sol_o_i,tmp);    GRID_ASSERT(  tmp.Checkerboard()   ==Even);
+      _Matrix.Meooe(sol_o,tmp);        assert(  tmp.checkerboard   ==Even);
-      tmp = src_e-tmp;               GRID_ASSERT(  src_e.Checkerboard() ==Even);
+      src_e = src_e-tmp;               assert(  src_e.checkerboard ==Even);
-      _Matrix.MooeeInv(tmp,sol_e);   GRID_ASSERT(  sol_e.Checkerboard() ==Even);
+      _Matrix.MooeeInv(src_e,sol_e);   assert(  sol_e.checkerboard ==Even);
      
-      setCheckerboard(sol,sol_e);    GRID_ASSERT(  sol_e.Checkerboard() ==Even);
+      setCheckerboard(out,sol_e); assert(  sol_e.checkerboard ==Even);
-      setCheckerboard(sol,sol_o_i);  GRID_ASSERT(  sol_o_i.Checkerboard() ==Odd );
+      setCheckerboard(out,sol_o); assert(  sol_o.checkerboard ==Odd );
-    };
 
-    virtual void RedBlackSolve   (Matrix & _Matrix,const Field &src_o, Field &sol_o)
+      // Verify the unprec residual
-    {
+      if ( ! subGuess ) {
-      SchurDiagTwoOperator<Matrix,Field> _HermOpEO(_Matrix);
+        _Matrix.M(out,resid); 
-      this->_HermitianRBSolver(_HermOpEO,src_o,sol_o);
+        resid = resid-in;
-    };
+        RealD ns = norm2(in);
-    virtual void RedBlackSolve   (Matrix & _Matrix,const std::vector<Field> &src_o,  std::vector<Field> &sol_o)
+        RealD nr = norm2(resid);
-    {
+
-      SchurDiagTwoOperator<Matrix,Field> _HermOpEO(_Matrix);
+        std::cout << GridLogMessage << "SchurRedBlackDiagTwo solver true unprec resid " << std::sqrt(nr / ns) << " nr " << nr << " ns " << ns << std::endl;
-      this->_HermitianRBSolver(_HermOpEO,src_o,sol_o); 
+      } else {
+        std::cout << GridLogMessage << "Guess subtracted after solve." << std::endl;
+      }
     }     
   };
 
-  template<class Field> class NonHermitianSchurRedBlackDiagTwoSolve : public SchurRedBlackBase<Field> 
-  {
-    public:
-      typedef CheckerBoardedSparseMatrixBase<Field> Matrix;
-
-      /////////////////////////////////////////////////////
-      // Wrap the usual normal equations Schur trick
-      /////////////////////////////////////////////////////
-      NonHermitianSchurRedBlackDiagTwoSolve(OperatorFunction<Field>& RBSolver, const bool initSubGuess = false,
-          const bool _solnAsInitGuess = false)  
-      : SchurRedBlackBase<Field>(RBSolver, initSubGuess, _solnAsInitGuess) {};
-
-      virtual void RedBlackSource(Matrix& _Matrix, const Field& src, Field& src_e, Field& src_o)
-      {
-        GridBase* grid  = _Matrix.RedBlackGrid();
-        GridBase* fgrid = _Matrix.Grid();
-
-        Field  tmp(grid);
-        Field Mtmp(grid);
-
-        pickCheckerboard(Even, src_e, src);
-        pickCheckerboard(Odd , src_o, src);
-      
-        /////////////////////////////////////////////////////
-        // src_o = Mdag * (source_o - Moe MeeInv source_e)
-        /////////////////////////////////////////////////////
-        _Matrix.MooeeInv(src_e, tmp);   GRID_ASSERT(   tmp.Checkerboard() == Even );
-        _Matrix.Meooe   (tmp, Mtmp);    GRID_ASSERT(  Mtmp.Checkerboard() == Odd  );     
-        src_o -= Mtmp;                  GRID_ASSERT( src_o.Checkerboard() == Odd  );     
-      }
-
-      virtual void RedBlackSolution(Matrix& _Matrix, const Field& sol_o, const Field& src_e, Field& sol)
-      {
-        GridBase* grid  = _Matrix.RedBlackGrid();
-        GridBase* fgrid = _Matrix.Grid();
-
-        Field sol_o_i(grid);
-        Field     tmp(grid);
-        Field   sol_e(grid);
-
-        ////////////////////////////////////////////////
-        // MooeeInv due to pecond
-        ////////////////////////////////////////////////
-        _Matrix.MooeeInv(sol_o, tmp);
-        sol_o_i = tmp;
-
-        ///////////////////////////////////////////////////
-        // sol_e = M_ee^-1 * ( src_e - Meo sol_o )...
-        ///////////////////////////////////////////////////
-        _Matrix.Meooe(sol_o_i, tmp);    GRID_ASSERT(   tmp.Checkerboard() == Even );
-        tmp = src_e - tmp;              GRID_ASSERT( src_e.Checkerboard() == Even );
-        _Matrix.MooeeInv(tmp, sol_e);   GRID_ASSERT( sol_e.Checkerboard() == Even );
-       
-        setCheckerboard(sol, sol_e);    GRID_ASSERT(   sol_e.Checkerboard() == Even );
-        setCheckerboard(sol, sol_o_i);  GRID_ASSERT( sol_o_i.Checkerboard() == Odd  );
-      };
-
-      virtual void RedBlackSolve(Matrix& _Matrix, const Field& src_o, Field& sol_o)
-      {
-        NonHermitianSchurDiagTwoOperator<Matrix,Field> _OpEO(_Matrix);
-        this->_HermitianRBSolver(_OpEO, src_o, sol_o);
-      };
-
-      virtual void RedBlackSolve(Matrix& _Matrix, const std::vector<Field>& src_o,  std::vector<Field>& sol_o)
-      {
-        NonHermitianSchurDiagTwoOperator<Matrix,Field> _OpEO(_Matrix);
-        this->_HermitianRBSolver(_OpEO, src_o, sol_o); 
-      }
-  };
 }
-
 #endif

Grid/algorithms/multigrid/Aggregates.h

@@ -1,631 +0,0 @@
-/*************************************************************************************
-
-    Grid physics library, www.github.com/paboyle/Grid 
-
-    Source file: ./lib/algorithms/Aggregates.h
-
-    Copyright (C) 2015
-
-Author: Azusa Yamaguchi <ayamaguc@staffmail.ed.ac.uk>
-Author: Peter Boyle <paboyle@ph.ed.ac.uk>
-Author: Peter Boyle <peterboyle@Peters-MacBook-Pro-2.local>
-Author: paboyle <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 */
-#pragma once
-
-#include <Grid/algorithms/iterative/PrecGeneralisedConjugateResidualNonHermitian.h>
-
-NAMESPACE_BEGIN(Grid);
-
-inline RealD AggregatePowerLaw(RealD x)
-{
-  //  return std::pow(x,-4);
-  //  return std::pow(x,-3);
-  return std::pow(x,-5);
-}
-
-template<class Fobj,class CComplex,int nbasis>
-class Aggregation {
-public:
-  constexpr int Nbasis(void) { return nbasis; };
-  
-  typedef iVector<CComplex,nbasis >             siteVector;
-  typedef Lattice<siteVector>                 CoarseVector;
-  typedef Lattice<iMatrix<CComplex,nbasis > > CoarseMatrix;
-
-  typedef Lattice< CComplex >   CoarseScalar; // used for inner products on fine field
-  typedef Lattice<Fobj >        FineField;
-
-  GridBase *CoarseGrid;
-  GridBase *FineGrid;
-  std::vector<Lattice<Fobj> > subspace;
-  int checkerboard;
-  int Checkerboard(void){return checkerboard;}
-  Aggregation(GridBase *_CoarseGrid,GridBase *_FineGrid,int _checkerboard) : 
-    CoarseGrid(_CoarseGrid),
-    FineGrid(_FineGrid),
-    subspace(nbasis,_FineGrid),
-    checkerboard(_checkerboard)
-  {
-  };
-  
-  void GlobalOrthonormalise(void)
-  {
-    // Normalise all vectors
-    for(int i=0;i<nbasis; i++){
-      RealD scale = std::pow(norm2(subspace[i]),-0.5); 
-      subspace[i] = subspace[i]*scale;
-    }
-    for(int i=0;i<nbasis; i++){
-      for(int j=0;j<i; j++){
-	basisOrthogonalize(subspace,subspace[i],j);
-      }
-      RealD scale = std::pow(norm2(subspace[i]),-0.5); 
-      subspace[i] = subspace[i]*scale;
-    }
-  }  
-  void Orthogonalise(void){
-    CoarseScalar InnerProd(CoarseGrid); 
-    //    std::cout << GridLogMessage <<" Block Gramm-Schmidt pass 1"<<std::endl;
-    blockOrthogonalise(InnerProd,subspace);
-  } 
-  void ProjectToSubspace(CoarseVector &CoarseVec,const FineField &FineVec){
-    blockProject(CoarseVec,FineVec,subspace);
-  }
-  void PromoteFromSubspace(const CoarseVector &CoarseVec,FineField &FineVec){
-    FineVec.Checkerboard() = subspace[0].Checkerboard();
-    blockPromote(CoarseVec,FineVec,subspace);
-  }
-
-  virtual void CreateSubspaceRandom(GridParallelRNG  &RNG) {
-    int nn=nbasis;
-    RealD scale;
-    FineField noise(FineGrid);
-    for(int b=0;b<nn;b++){
-      subspace[b] = Zero();
-      gaussian(RNG,noise);
-      scale = std::pow(norm2(noise),-0.5); 
-      noise=noise*scale;
-      subspace[b] = noise;
-    }
-  }
-  virtual void CreateSubspace(GridParallelRNG  &RNG,LinearOperatorBase<FineField> &hermop,int nn=nbasis)
-  {
-
-    RealD scale;
-
-    ConjugateGradient<FineField> CG(1.0e-4,2000,false);
-    FineField noise(FineGrid);
-    FineField Mn(FineGrid);
-
-    for(int b=0;b<nn;b++){
-      
-      subspace[b] = Zero();
-      gaussian(RNG,noise);
-      scale = std::pow(norm2(noise),-0.5); 
-      noise=noise*scale;
-      
-      hermop.Op(noise,Mn); std::cout<<GridLogMessage << "noise   ["<<b<<"] <n|MdagM|n> "<<norm2(Mn)<<std::endl;
-
-      for(int i=0;i<2;i++){
-
-	CG(hermop,noise,subspace[b]);
-
-	noise = subspace[b];
-	scale = std::pow(norm2(noise),-0.5); 
-	noise=noise*scale;
-	
-	hermop.Op(noise,Mn); std::cout<<GridLogMessage << "intermediate["<<i<<"] <i|MdagM|i> "<<norm2(Mn)<<std::endl;
-	
-      }
-
-      hermop.Op(noise,Mn); std::cout<<GridLogMessage << "filtered["<<b<<"] <f|MdagM|f> "<<norm2(Mn)<<std::endl;
-      subspace[b]   = noise;
-
-    }
-  }
-
-  virtual void CreateSubspaceGCR(GridParallelRNG  &RNG,LinearOperatorBase<FineField> &DiracOp,int nn=nbasis)
-  {
-    RealD scale;
-
-    TrivialPrecon<FineField> simple_fine;
-    //    PrecGeneralisedConjugateResidualNonHermitian<FineField> GCR(0.001,10,DiracOp,simple_fine,30,30);
-    //    PrecGeneralisedConjugateResidualNonHermitian<FineField> GCR(0.001,10,DiracOp,simple_fine,12,12);
-    //    PrecGeneralisedConjugateResidualNonHermitian<FineField> GCR(0.001,30,DiracOp,simple_fine,12,12);
-    //    PrecGeneralisedConjugateResidualNonHermitian<FineField> GCR(0.0005,30,DiracOp,simple_fine,20,20);
-    PrecGeneralisedConjugateResidualNonHermitian<FineField> GCR(0.0005,30,DiracOp,simple_fine,10,10);
-    FineField noise(FineGrid);
-    FineField src(FineGrid);
-    FineField guess(FineGrid);
-    FineField Mn(FineGrid);
-
-    for(int b=0;b<nn;b++){
-      
-      subspace[b] = Zero();
-      gaussian(RNG,noise);
-      scale = std::pow(norm2(noise),-0.5); 
-      noise=noise*scale;
-      
-      DiracOp.Op(noise,Mn); std::cout<<GridLogMessage << "noise   ["<<b<<"] <n|Op|n> "<<innerProduct(noise,Mn)<<std::endl;
-
-      for(int i=0;i<3;i++){
-	//  void operator() (const Field &src, Field &psi){
-#if 1
-	if (i==0)std::cout << GridLogMessage << " inverting on noise "<<std::endl;
-	src = noise;
-	guess=Zero();
-	GCR(src,guess);
-	subspace[b] = guess;
-#else
-	if (i==0)std::cout << GridLogMessage << " inverting on zero "<<std::endl;
-	src=Zero();
-	guess = noise;
-	GCR(src,guess);
-	subspace[b] = guess;
-#endif
-	noise = subspace[b];
-	scale = std::pow(norm2(noise),-0.5); 
-	noise=noise*scale;
-	
-	DiracOp.Op(noise,Mn); std::cout<<GridLogMessage << "intermediate["<<i<<"] <f|Op|f> "<<innerProduct(noise,Mn)<<" <f|OpDagOp|f>"<<norm2(Mn)<<std::endl;
-
-      }
-
-      DiracOp.Op(noise,Mn); std::cout<<GridLogMessage << "filtered["<<b<<"] <f|Op|f> "<<innerProduct(noise,Mn)<<" <f|OpDagOp|f>"<<norm2(Mn)<<std::endl;
-      subspace[b]   = noise;
-
-    }
-    GlobalOrthonormalise();
-  }
-
-  ////////////////////////////////////////////////////////////////////////////////////////////////
-  // World of possibilities here. But have tried quite a lot of experiments (250+ jobs run on Summit)
-  // and this is the best I found
-  ////////////////////////////////////////////////////////////////////////////////////////////////
-
-  virtual void CreateSubspaceChebyshev(GridParallelRNG  &RNG,LinearOperatorBase<FineField> &hermop,
-				       int nn,
-				       double hi,
-				       double lo,
-				       int orderfilter,
-				       int ordermin,
-				       int orderstep,
-				       double filterlo
-				       ) {
-
-    RealD scale;
-
-    FineField noise(FineGrid);
-    FineField Mn(FineGrid);
-    FineField tmp(FineGrid);
-
-    // New normalised noise
-    gaussian(RNG,noise);
-    scale = std::pow(norm2(noise),-0.5); 
-    noise=noise*scale;
-
-    std::cout << GridLogMessage<<" Chebyshev subspace pass-1 : ord "<<orderfilter<<" ["<<lo<<","<<hi<<"]"<<std::endl;
-    std::cout << GridLogMessage<<" Chebyshev subspace pass-2 : nbasis"<<nn<<" min "
-	      <<ordermin<<" step "<<orderstep
-	      <<" lo"<<filterlo<<std::endl;
-
-    // Initial matrix element
-    hermop.Op(noise,Mn); std::cout<<GridLogMessage << "noise <n|MdagM|n> "<<norm2(Mn)<<std::endl;
-
-    int b =0;
-    {
-      ComplexD ip;
-      // Filter
-      Chebyshev<FineField> Cheb(lo,hi,orderfilter);
-      Cheb(hermop,noise,Mn);
-      // normalise
-      scale = std::pow(norm2(Mn),-0.5); 	Mn=Mn*scale;
-      subspace[b]   = Mn;
-
-      hermop.Op(Mn,tmp);
-      ip= innerProduct(Mn,tmp); 
-      std::cout<<GridLogMessage << "filt ["<<b<<"] <n|Op|n> "<<norm2(tmp)<<" "<<ip<<std::endl;
-
-      hermop.AdjOp(Mn,tmp); 
-      ip = innerProduct(Mn,tmp); 
-      std::cout<<GridLogMessage << "filt ["<<b<<"] <n|AdjOp|n> "<<norm2(tmp)<<" "<<ip<<std::endl;
-      b++;
-    }
-
-    // Generate a full sequence of Chebyshevs
-    {
-      lo=filterlo;
-      noise=Mn;
-
-      FineField T0(FineGrid); T0 = noise;  
-      FineField T1(FineGrid); 
-      FineField T2(FineGrid);
-      FineField y(FineGrid);
-      
-      FineField *Tnm = &T0;
-      FineField *Tn  = &T1;
-      FineField *Tnp = &T2;
-
-      // Tn=T1 = (xscale M + mscale)in
-      RealD xscale = 2.0/(hi-lo);
-      RealD mscale = -(hi+lo)/(hi-lo);
-      hermop.HermOp(T0,y);
-      T1=y*xscale+noise*mscale;
-
-      for(int n=2;n<=ordermin+orderstep*(nn-2);n++){
-	
-	hermop.HermOp(*Tn,y);
-
-	autoView( y_v , y, AcceleratorWrite);
-	autoView( Tn_v , (*Tn), AcceleratorWrite);
-	autoView( Tnp_v , (*Tnp), AcceleratorWrite);
-	autoView( Tnm_v , (*Tnm), AcceleratorWrite);
-	const int Nsimd = CComplex::Nsimd();
-	accelerator_for(ss, FineGrid->oSites(), Nsimd, {
-	  coalescedWrite(y_v[ss],xscale*y_v(ss)+mscale*Tn_v(ss));
-	  coalescedWrite(Tnp_v[ss],2.0*y_v(ss)-Tnm_v(ss));
-        });
-
-	// Possible more fine grained control is needed than a linear sweep,
-	// but huge productivity gain if this is simple algorithm and not a tunable
-	int m =1;
-	if ( n>=ordermin ) m=n-ordermin;
-	if ( (m%orderstep)==0 ) { 
-	  Mn=*Tnp;
-	  scale = std::pow(norm2(Mn),-0.5);         Mn=Mn*scale;
-	  subspace[b] = Mn;
-
-
-	  ComplexD ip;
-
-	  hermop.Op(Mn,tmp);
-	  ip= innerProduct(Mn,tmp); 
-	  std::cout<<GridLogMessage << "filt ["<<b<<"] <n|Op|n> "<<norm2(tmp)<<" "<<ip<<std::endl;
-
-	  hermop.AdjOp(Mn,tmp); 
-	  ip = innerProduct(Mn,tmp); 
-	  std::cout<<GridLogMessage << "filt ["<<b<<"] <n|AdjOp|n> "<<norm2(tmp)<<" "<<ip<<std::endl;
-	  
-	  b++;
-	}
-
-	// Cycle pointers to avoid copies
-	FineField *swizzle = Tnm;
-	Tnm    =Tn;
-	Tn     =Tnp;
-	Tnp    =swizzle;
-	  
-      }
-    }
-    GRID_ASSERT(b==nn);
-  }
-
-
-  virtual void CreateSubspacePolyCheby(GridParallelRNG  &RNG,LinearOperatorBase<FineField> &hermop,
-				       int nn,
-				       double hi,
-				       double lo1,
-				       int orderfilter,
-				       double lo2,
-				       int orderstep)
-  {
-    RealD scale;
-
-    FineField noise(FineGrid);
-    FineField Mn(FineGrid);
-    FineField tmp(FineGrid);
-
-    // New normalised noise
-    gaussian(RNG,noise);
-    scale = std::pow(norm2(noise),-0.5); 
-    noise=noise*scale;
-
-    std::cout << GridLogMessage<<" CreateSubspacePolyCheby "<<std::endl;
-    // Initial matrix element
-    hermop.Op(noise,Mn);
-    std::cout<<GridLogMessage << "noise <n|MdagM|n> "<<norm2(Mn)<<std::endl;
-
-    int b =0;
-    {
-      // Filter
-      std::cout << GridLogMessage << "Cheby "<<lo1<<","<<hi<<" "<<orderstep<<std::endl;
-      Chebyshev<FineField> Cheb(lo1,hi,orderfilter);
-      Cheb(hermop,noise,Mn);
-      // normalise
-      scale = std::pow(norm2(Mn),-0.5); 	Mn=Mn*scale;
-      subspace[b]   = Mn;
-      hermop.Op(Mn,tmp); 
-      std::cout<<GridLogMessage << "filt ["<<b<<"] <n|MdagM|n> "<<norm2(tmp)<<std::endl;
-      std::cout<<GridLogMessage << "filt ["<<b<<"] <n|n> "<<norm2(Mn)<<std::endl;
-    }
-
-    // Generate a full sequence of Chebyshevs
-    for(int n=1;n<nn;n++){
-      std::cout << GridLogMessage << "Cheby "<<lo2<<","<<hi<<" "<<orderstep<<std::endl;
-      Chebyshev<FineField> Cheb(lo2,hi,orderstep);
-      Cheb(hermop,subspace[n-1],Mn);
-
-      for(int m=0;m<n;m++){
-	ComplexD c = innerProduct(subspace[m],Mn);
-	Mn = Mn - c*subspace[m];
-      }
-      
-      // normalise
-      scale = std::pow(norm2(Mn),-0.5);
-      Mn=Mn*scale;
-      
-      subspace[n]=Mn;
-      
-      hermop.Op(Mn,tmp); 
-      std::cout<<GridLogMessage << "filt ["<<n<<"] <n|MdagM|n> "<<norm2(tmp)<<std::endl;
-      std::cout<<GridLogMessage << "filt ["<<n<<"] <n|n> "<<norm2(Mn)<<std::endl;
-
-    }
-  }
-
-  virtual void CreateSubspaceChebyshev(GridParallelRNG  &RNG,LinearOperatorBase<FineField> &hermop,
-				       int nn,
-				       double hi,
-				       double lo,
-				       int orderfilter
-				       ) {
-
-    RealD scale;
-
-    FineField noise(FineGrid);
-    FineField Mn(FineGrid);
-    FineField tmp(FineGrid);
-
-    // New normalised noise
-    std::cout << GridLogMessage<<" Chebyshev subspace pure noise : ord "<<orderfilter<<" ["<<lo<<","<<hi<<"]"<<std::endl;
-    std::cout << GridLogMessage<<" Chebyshev subspace pure noise  : nbasis "<<nn<<std::endl;
-
-
-    for(int b =0;b<nbasis;b++)
-    {
-      gaussian(RNG,noise);
-      scale = std::pow(norm2(noise),-0.5); 
-      noise=noise*scale;
-
-      // Initial matrix element
-      hermop.Op(noise,Mn);
-      if(b==0) std::cout<<GridLogMessage << "noise <n|MdagM|n> "<<norm2(Mn)<<std::endl;
-
-      // Filter
-      Chebyshev<FineField> Cheb(lo,hi,orderfilter);
-      Cheb(hermop,noise,Mn);
-      scale = std::pow(norm2(Mn),-0.5); 	Mn=Mn*scale;
-
-      // Refine
-      Chebyshev<FineField> PowerLaw(lo,hi,1000,AggregatePowerLaw);
-      noise = Mn;
-      PowerLaw(hermop,noise,Mn);
-      scale = std::pow(norm2(Mn),-0.5); 	Mn=Mn*scale;
-
-      // normalise
-      subspace[b]   = Mn;
-      hermop.Op(Mn,tmp); 
-      std::cout<<GridLogMessage << "filt ["<<b<<"] <n|MdagM|n> "<<norm2(tmp)<<std::endl;
-    }
-
-  }
-
-  virtual void CreateSubspaceChebyshevPowerLaw(GridParallelRNG  &RNG,LinearOperatorBase<FineField> &hermop,
-					       int nn,
-					       double hi,
-					       int orderfilter
-					       ) {
-
-    RealD scale;
-
-    FineField noise(FineGrid);
-    FineField Mn(FineGrid);
-    FineField tmp(FineGrid);
-
-    // New normalised noise
-    std::cout << GridLogMessage<<" Chebyshev subspace pure noise : ord "<<orderfilter<<" [0,"<<hi<<"]"<<std::endl;
-    std::cout << GridLogMessage<<" Chebyshev subspace pure noise  : nbasis "<<nn<<std::endl;
-
-    for(int b =0;b<nbasis;b++)
-    {
-      gaussian(RNG,noise);
-      scale = std::pow(norm2(noise),-0.5); 
-      noise=noise*scale;
-
-      // Initial matrix element
-      hermop.Op(noise,Mn);
-      if(b==0) std::cout<<GridLogMessage << "noise <n|MdagM|n> "<<norm2(Mn)<<std::endl;
-      // Filter
-      Chebyshev<FineField> Cheb(0.0,hi,orderfilter,AggregatePowerLaw);
-      Cheb(hermop,noise,Mn);
-      // normalise
-      scale = std::pow(norm2(Mn),-0.5); 	Mn=Mn*scale;
-      subspace[b]   = Mn;
-      hermop.Op(Mn,tmp); 
-      std::cout<<GridLogMessage << "filt ["<<b<<"] <n|MdagM|n> "<<norm2(tmp)<<std::endl;
-    }
-
-  }
-  virtual void CreateSubspaceChebyshevNew(GridParallelRNG  &RNG,LinearOperatorBase<FineField> &hermop,
-					  double hi
-					  ) {
-
-    RealD scale;
-
-    FineField noise(FineGrid);
-    FineField Mn(FineGrid);
-    FineField tmp(FineGrid);
-
-    // New normalised noise
-    for(int b =0;b<nbasis;b++)
-    {
-      gaussian(RNG,noise);
-      scale = std::pow(norm2(noise),-0.5); 
-      noise=noise*scale;
-
-      // Initial matrix element
-      hermop.Op(noise,Mn);
-      if(b==0) std::cout<<GridLogMessage << "noise <n|MdagM|n> "<<norm2(Mn)<<std::endl;
-      // Filter
-      //#opt2(x) =  acheb(x,3,90,300)* acheb(x,1,90,50) * acheb(x,0.5,90,200) * acheb(x,0.05,90,400) * acheb(x,0.01,90,1500)
-      /*266
-      Chebyshev<FineField> Cheb1(3.0,hi,300);
-      Chebyshev<FineField> Cheb2(1.0,hi,50);
-      Chebyshev<FineField> Cheb3(0.5,hi,300);
-      Chebyshev<FineField> Cheb4(0.05,hi,500);
-      Chebyshev<FineField> Cheb5(0.01,hi,2000);
-      */
-      /* 242 */
-      /*
-      Chebyshev<FineField> Cheb3(0.1,hi,300);
-      Chebyshev<FineField> Cheb2(0.02,hi,1000);
-      Chebyshev<FineField> Cheb1(0.003,hi,2000);
-      8?
-      */
-      /* How many??
-      */
-      Chebyshev<FineField> Cheb2(0.001,hi,2500); // 169 iters on HDCG after refine
-      Chebyshev<FineField> Cheb1(0.02,hi,600);
-
-      //      Chebyshev<FineField> Cheb2(0.001,hi,1500);
-      //      Chebyshev<FineField> Cheb1(0.02,hi,600);
-      Cheb1(hermop,noise,Mn); scale = std::pow(norm2(Mn),-0.5); 	noise=Mn*scale;
-      hermop.Op(noise,tmp); std::cout<<GridLogMessage << "Cheb1 <n|MdagM|n> "<<norm2(tmp)<<std::endl;
-      Cheb2(hermop,noise,Mn); scale = std::pow(norm2(Mn),-0.5); 	noise=Mn*scale;
-      hermop.Op(noise,tmp); std::cout<<GridLogMessage << "Cheb2 <n|MdagM|n> "<<norm2(tmp)<<std::endl;
-      //      Cheb3(hermop,noise,Mn); scale = std::pow(norm2(Mn),-0.5); 	noise=Mn*scale;
-      //      hermop.Op(noise,tmp); std::cout<<GridLogMessage << "Cheb3 <n|MdagM|n> "<<norm2(tmp)<<std::endl;
-      //      Cheb4(hermop,noise,Mn); scale = std::pow(norm2(Mn),-0.5); 	noise=Mn*scale;
-      //      hermop.Op(noise,tmp); std::cout<<GridLogMessage << "Cheb4 <n|MdagM|n> "<<norm2(tmp)<<std::endl;
-      //      Cheb5(hermop,noise,Mn); scale = std::pow(norm2(Mn),-0.5); 	noise=Mn*scale;
-      //      hermop.Op(noise,tmp); std::cout<<GridLogMessage << "Cheb5 <n|MdagM|n> "<<norm2(tmp)<<std::endl;
-      subspace[b]   = noise;
-      hermop.Op(subspace[b],tmp); 
-      std::cout<<GridLogMessage << "filt ["<<b<<"] <n|MdagM|n> "<<norm2(tmp)<< " norm " << norm2(noise)<<std::endl;
-    }
-
-  }
-
-  virtual void CreateSubspaceMultishift(GridParallelRNG  &RNG,LinearOperatorBase<FineField> &hermop,
-					double Lo,double tol,int maxit)
-  {
-
-    RealD scale;
-
-    FineField noise(FineGrid);
-    FineField Mn(FineGrid);
-    FineField tmp(FineGrid);
-
-    // New normalised noise
-    std::cout << GridLogMessage<<" Multishift subspace : Lo "<<Lo<<std::endl;
-
-    // Filter
-    // [ 1/6(x+Lo)  - 1/2(x+2Lo) + 1/2(x+3Lo)  -1/6(x+4Lo) = Lo^3 /[ (x+1Lo)(x+2Lo)(x+3Lo)(x+4Lo) ]
-    //
-    // 1/(x+Lo)  - 1/(x+2 Lo)
-    double epsilon      = Lo/3;
-    std::vector<RealD> alpha({1.0/6.0,-1.0/2.0,1.0/2.0,-1.0/6.0});
-    std::vector<RealD> shifts({Lo,Lo+epsilon,Lo+2*epsilon,Lo+3*epsilon});
-    std::vector<RealD> tols({tol,tol,tol,tol});
-    std::cout << "sizes "<<alpha.size()<<" "<<shifts.size()<<" "<<tols.size()<<std::endl;
-
-    MultiShiftFunction msf(4,0.0,95.0);
-    std::cout << "msf constructed "<<std::endl;
-    msf.poles=shifts;
-    msf.residues=alpha;
-    msf.tolerances=tols;
-    msf.norm=0.0;
-    msf.order=alpha.size();
-    ConjugateGradientMultiShift<FineField> MSCG(maxit,msf);
-    
-    for(int b =0;b<nbasis;b++)
-    {
-      gaussian(RNG,noise);
-      scale = std::pow(norm2(noise),-0.5); 
-      noise=noise*scale;
-
-      // Initial matrix element
-      hermop.Op(noise,Mn);
-      if(b==0) std::cout<<GridLogMessage << "noise <n|MdagM|n> "<<norm2(Mn)<<std::endl;
-
-      MSCG(hermop,noise,Mn);
-      scale = std::pow(norm2(Mn),-0.5); 	Mn=Mn*scale;
-      subspace[b]   = Mn;
-      hermop.Op(Mn,tmp); 
-      std::cout<<GridLogMessage << "filt ["<<b<<"] <n|MdagM|n> "<<norm2(tmp)<<std::endl;
-
-    }
-
-  }
-  virtual void RefineSubspace(LinearOperatorBase<FineField> &hermop,
-			      double Lo,double tol,int maxit)
-  {
-    FineField tmp(FineGrid);
-    for(int b =0;b<nbasis;b++)
-    {
-      ConjugateGradient<FineField>  CGsloppy(tol,maxit,false);
-      ShiftedHermOpLinearOperator<FineField> ShiftedFineHermOp(hermop,Lo);
-      tmp=Zero();
-      CGsloppy(hermop,subspace[b],tmp);
-      RealD scale = std::pow(norm2(tmp),-0.5); 	tmp=tmp*scale;
-      subspace[b]=tmp;
-      hermop.Op(subspace[b],tmp);
-      std::cout<<GridLogMessage << "filt ["<<b<<"] <n|MdagM|n> "<<norm2(tmp)<<std::endl;
-    }
-  }
-  virtual void RefineSubspaceHDCG(LinearOperatorBase<FineField> &hermop,
-				  TwoLevelADEF2mrhs<FineField,CoarseVector> & theHDCG,
-				  int nrhs)
-  {
-    std::vector<FineField> src_mrhs(nrhs,FineGrid);
-    std::vector<FineField> res_mrhs(nrhs,FineGrid);
-    FineField tmp(FineGrid);
-    for(int b =0;b<nbasis;b+=nrhs)
-    {
-      tmp = subspace[b];
-      RealD scale = std::pow(norm2(tmp),-0.5); 	tmp=tmp*scale;
-      subspace[b] =tmp;
-      hermop.Op(subspace[b],tmp);
-      std::cout<<GridLogMessage << "before filt ["<<b<<"] <n|MdagM|n> "<<norm2(tmp)<<std::endl;
-
-      for(int r=0;r<MIN(nbasis-b,nrhs);r++){
-	src_mrhs[r] = subspace[b+r];
-      }
-      for(int r=0;r<nrhs;r++){
-	res_mrhs[r] = Zero();
-      }
-      theHDCG(src_mrhs,res_mrhs);
-
-      for(int r=0;r<MIN(nbasis-b,nrhs);r++){
-	tmp = res_mrhs[r];
-	RealD scale = std::pow(norm2(tmp),-0.5); tmp=tmp*scale;
-	subspace[b+r]=tmp;
-      }
-      hermop.Op(subspace[b],tmp);
-      std::cout<<GridLogMessage << "after filt ["<<b<<"] <n|MdagM|n> "<<norm2(tmp)<<std::endl;
-    }
-  }
-
-  
-  
-};
-NAMESPACE_END(Grid);
-

Grid/algorithms/multigrid/BlockCyclic.h

@@ -1,215 +0,0 @@
-/*************************************************************************************
-
-    Grid physics library, www.github.com/paboyle/Grid
-
-    Source file: ./Grid/algorithms/multigrid/BlockCyclic.h
-
-    Copyright (C) 2026
-
-Author: Peter Boyle <pboyle@bnl.gov>
-
-    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.
-
-    See the full license in the file "LICENSE" in the top level distribution
-    directory
-*************************************************************************************/
-/*  END LEGAL */
-#pragma once
-
-NAMESPACE_BEGIN(Grid);
-
-///////////////////////////////////////////////////////////////////////////////
-// BlockCyclicLayout: the index arithmetic of a 2D block-cyclic distribution
-// of an N x N matrix over a Pr x Pc logical process grid with block size nb.
-//
-// This is stage 1 of the 2D distributed dense inverse
-// (documentation/DistributedDenseInverse2D.tex).  It is deliberately
-// COMMUNICATOR-FREE: every mapping is a static pure function of
-// (N, nb, Pr, Pc), so the whole layout is exhaustively unit-testable on one
-// rank with no MPI in the loop (Test_blockcyclic).  A thin instance layer
-// binds a world rank to a grid coordinate and caches local extents.
-//
-// Conventions (fixed here, relied on by every later stage):
-//
-//  * Global block b of a dimension with Pg processes is owned by process
-//    coordinate  b % Pg  (ScaLAPACK csrc=0), and is that process's local
-//    block  b / Pg.
-//  * Rank <-> grid coordinate is ROW MAJOR over the process grid:
-//        rank = p*Pc + q ,  p = rank/Pc ,  q = rank%Pc .
-//    The eventual ring transport must construct its neighbour tables with
-//    the same convention.
-//  * Local storage is COLUMN MAJOR with ld = mloc, matching BlockRows:
-//    local element (i,j) lives at  data[i + j*mloc].
-//  * The trailing partial block (N % nb != 0) belongs to the owner of the
-//    last full-size block position; only that one block is short.
-//
-// Element (gi,gj) therefore lives on grid coordinate
-//    ( (gi/nb) % Pr , (gj/nb) % Pc )
-// at local coordinate
-//    ( ((gi/nb)/Pr)*nb + gi%nb , ((gj/nb)/Pc)*nb + gj%nb ).
-//
-// Everything here is host-side integer arithmetic; nothing allocates.
-///////////////////////////////////////////////////////////////////////////////
-
-class BlockCyclicLayout
-{
-public:
-  ///////////////////////////////////////////////////////////////////////////
-  // Closest-to-square factorisation Pr*Pc == P with Pr <= Pc.
-  // For fixed P the per-rank SUMMA volume  N^2 (1/Pr + 1/Pc)  is minimised
-  // at the most square grid.  P=288 -> 16 x 18.
-  ///////////////////////////////////////////////////////////////////////////
-  static void ChooseProcessGrid(int P, int &Pr, int &Pc)
-  {
-    GRID_ASSERT(P >= 1);
-    Pr = 1;
-    for(int r=1; (int64_t)r*r <= (int64_t)P; r++)
-      if ( P % r == 0 ) Pr = r;
-    Pc = P / Pr;
-  }
-
-  ///////////////////////////////////////////////////////////////////////////
-  // Number of rows (or columns) of a dimension of global extent N, block nb,
-  // owned by process coordinate p of Pg.  ScaLAPACK "numroc", csrc=0.
-  ///////////////////////////////////////////////////////////////////////////
-  static int64_t NumLocal(int64_t N, int64_t nb, int p, int Pg)
-  {
-    GRID_ASSERT(N  >= 0);
-    GRID_ASSERT(nb >= 1);
-    GRID_ASSERT(p  >= 0);
-    GRID_ASSERT(p  <  Pg);
-    int64_t nblocks = N / nb;            // full blocks
-    int64_t extra   = N % nb;            // trailing partial block
-    int64_t full    = nblocks / Pg;      // full blocks everyone owns
-    int64_t rem     = nblocks % Pg;      // coords [0,rem) own one more
-    int64_t n = full*nb;
-    if ( p <  (int)rem ) n += nb;        // an extra full block
-    if ( p == (int)rem ) n += extra;     // the partial block, if any
-    return n;
-  }
-
-  ///////////////////////////////////////////////////////////////////////////
-  // Global index -> (owner coordinate, local index) in one dimension.
-  ///////////////////////////////////////////////////////////////////////////
-  static void GlobalToLocal(int64_t g, int64_t nb, int Pg,
-                            int &owner, int64_t &loc)
-  {
-    GRID_ASSERT(g >= 0);
-    int64_t b = g / nb;                  // global block
-    owner = (int)(b % Pg);
-    loc   = (b / Pg)*nb + (g % nb);
-  }
-
-  ///////////////////////////////////////////////////////////////////////////
-  // (process coordinate, local index) -> global index in one dimension.
-  // Inverse of GlobalToLocal on the owned set.
-  ///////////////////////////////////////////////////////////////////////////
-  static int64_t LocalToGlobal(int64_t l, int64_t nb, int p, int Pg)
-  {
-    GRID_ASSERT(l >= 0);
-    int64_t lb = l / nb;                 // local block
-    int64_t b  = lb*Pg + p;              // global block
-    return b*nb + (l % nb);
-  }
-
-  ///////////////////////////////////////////////////////////////////////////
-  // Instance layer: bind a rank of a Pr x Pc grid.
-  ///////////////////////////////////////////////////////////////////////////
-  int64_t N;         // global matrix dimension (square)
-  int64_t nb;        // block size
-  int     Pr, Pc;    // process grid
-  int     me;        // world rank within the grid, row major
-  int     prow, pcol;// my grid coordinate
-  int64_t mloc,nloc; // my local extents; storage column major, ld = mloc
-
-  BlockCyclicLayout(int64_t N_, int64_t nb_, int Pr_, int Pc_, int me_)
-  {
-    N  = N_;
-    nb = nb_;
-    Pr = Pr_;
-    Pc = Pc_;
-    me = me_;
-    GRID_ASSERT( N  >= 0 );
-    GRID_ASSERT( nb >= 1 );
-    GRID_ASSERT( Pr >= 1 );
-    GRID_ASSERT( Pc >= 1 );
-    GRID_ASSERT( me >= 0 );
-    GRID_ASSERT( me <  Pr*Pc );
-    prow = me / Pc;                      // ROW MAJOR rank convention
-    pcol = me % Pc;
-    mloc = NumLocal(N, nb, prow, Pr);
-    nloc = NumLocal(N, nb, pcol, Pc);
-  }
-
-  // Owning rank of global element (gi,gj), row-major rank convention.
-  int OwnerRank(int64_t gi, int64_t gj) const
-  {
-    int pr,pc; int64_t li,lj;
-    GlobalToLocal(gi, nb, Pr, pr, li);
-    GlobalToLocal(gj, nb, Pc, pc, lj);
-    return pr*Pc + pc;
-  }
-
-  // My local storage offset of global element (gi,gj).
-  // The caller must know I own it; asserted, not assumed.
-  int64_t LocalOffset(int64_t gi, int64_t gj) const
-  {
-    int pr,pc; int64_t li,lj;
-    GlobalToLocal(gi, nb, Pr, pr, li);
-    GlobalToLocal(gj, nb, Pc, pc, lj);
-    GRID_ASSERT( pr == prow );
-    GRID_ASSERT( pc == pcol );
-    return li + lj*mloc;                 // column major, ld = mloc
-  }
-
-  // Do I own global element (gi,gj)?
-  int Owns(int64_t gi, int64_t gj) const
-  {
-    return OwnerRank(gi,gj) == me;
-  }
-
-  ///////////////////////////////////////////////////////////////////////////
-  // Block-aligned global range [g0,g1) -> my contiguous local range [l0,l1).
-  //
-  // For fixed owner p the local index is monotone in the global index, so a
-  // coordinate's owned elements of ANY global range are contiguous in local
-  // storage; and for a BLOCK-ALIGNED range the bounds are exactly
-  // NumLocal(g0) and NumLocal(g1), because NumLocal(g,...) counts the owned
-  // elements below g.  This is what lets a windowed product view the local
-  // sub-matrix of a global window as &data[l0 + c0*mloc] with the SAME ld --
-  // no gather, no copy.  Verified exhaustively in Test_blockcyclic T7.
-  //
-  // g0 must be a block multiple; g1 a block multiple or N itself.
-  ///////////////////////////////////////////////////////////////////////////
-  static void RangeToLocal(int64_t g0, int64_t g1,
-                           int64_t N, int64_t nb, int p, int Pg,
-                           int64_t &l0, int64_t &l1)
-  {
-    GRID_ASSERT( 0 <= g0 );
-    GRID_ASSERT( g0 <= g1 );
-    GRID_ASSERT( g1 <= N );
-    GRID_ASSERT( g0 % nb == 0 );
-    GRID_ASSERT( (g1 % nb == 0) || (g1 == N) );
-    l0 = NumLocal(g0, nb, p, Pg);
-    l1 = NumLocal(g1, nb, p, Pg);
-  }
-
-  // Instance forms, rows and columns of my own coordinate.
-  void RowRange(int64_t g0, int64_t g1, int64_t &l0, int64_t &l1) const
-  { RangeToLocal(g0,g1,N,nb,prow,Pr,l0,l1); }
-  void ColRange(int64_t g0, int64_t g1, int64_t &l0, int64_t &l1) const
-  { RangeToLocal(g0,g1,N,nb,pcol,Pc,l0,l1); }
-
-  // Size of global block b (the trailing block may be short).
-  int64_t BlockSize(int64_t b) const
-  {
-    int64_t lo = b*nb;
-    GRID_ASSERT( lo < N );
-    return std::min(N, lo+nb) - lo;
-  }
-};
-
-NAMESPACE_END(Grid);

Grid/algorithms/multigrid/BlockCyclicRedistribute.h

@@ -1,247 +0,0 @@
-/*************************************************************************************
-
-    Grid physics library, www.github.com/paboyle/Grid
-
-    Source file: ./Grid/algorithms/multigrid/BlockCyclicRedistribute.h
-
-    Copyright (C) 2026
-
-Author: Peter Boyle <pboyle@bnl.gov>
-
-    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.
-
-    See the full license in the file "LICENSE" in the top level distribution
-    directory
-*************************************************************************************/
-/*  END LEGAL */
-#pragma once
-
-#include <Grid/algorithms/multigrid/BlockCyclicSumma.h>
-
-NAMESPACE_BEGIN(Grid);
-
-///////////////////////////////////////////////////////////////////////////////
-// Stage 4 of the 2D distributed dense inverse: redistribution between the
-// 1D rank-major row layout (BlockRows: rank r owns contiguous global rows
-// [rowStart[r], rowStart[r+1]) of an N x N matrix, stored rows x N column
-// major with ld = rows) and the 2D block-cyclic layout.
-//
-// This is what lets the EXISTING stencil->dense import, its certificate,
-// the fp32 slab conversion and the apply path all remain byte-for-byte
-// untouched: the 2D inverse slots between them as
-//
-//    RowsToCyclic -> BlockCyclicSchurInverse::Invert -> CyclicToRows
-//
-// Volume is one matrix pass each way -- N^2/P elements per rank (~1 GB at
-// production), trivial against the inversion itself.
-//
-// Transport: PURE POINT-TO-POINT, like everything else in this stack.
-// Ranks exchange in a round-robin TOURNAMENT (the circle method, on an odd
-// modulus M so it covers every pair exactly once for any P, with byes):
-// at round r, ranks x and y are partners iff x+y == r (mod M).  Each
-// meeting handles both directed edges of the pair in ONE SendToRecvFrom,
-// padded to the larger of the two edge sizes -- SendToRecvFrom carries a
-// single byte count for both directions, and both endpoints compute the
-// same max from the shared descriptors, so there is no asymmetric-size
-// case and no zero-count shape.  Pairs with nothing to exchange skip the
-// round, decided identically at both ends.
-//
-// Element enumeration within an edge is canonical -- ascending global
-// column outer, ascending global row inner -- and each endpoint builds its
-// OWN local offset tables from the shared descriptors, so no index data is
-// ever transmitted.  The round trip is BITWISE exact (pure data movement,
-// no arithmetic): Test_schur2d_redist proves it.
-///////////////////////////////////////////////////////////////////////////////
-
-class BlockCyclicRedistribute
-{
-public:
-  /////////////////////////////////////////////////////////////////////////
-  // The directed edge (1D rank r1, 2D rank r2): global rows of r1's range
-  // whose row-block coordinate is r2's prow; ALL global columns whose
-  // column-block coordinate is r2's pcol.  Every rank can enumerate any
-  // edge from (rowStart, layout) alone.
-  /////////////////////////////////////////////////////////////////////////
-  static void EdgeRows(const std::vector<int64_t> &rowStart, int r1,
-                       const BlockCyclicLayout &L, int r2,
-                       std::vector<int64_t> &rows)
-  {
-    rows.clear();
-    int p = r2 / L.Pc;                       // row-major rank convention
-    for(int64_t i=rowStart[r1]; i<rowStart[r1+1]; i++)
-      if ( (int)((i/L.nb) % L.Pr) == p ) rows.push_back(i);
-  }
-  static void EdgeCols(const BlockCyclicLayout &L, int r2,
-                       std::vector<int64_t> &cols)
-  {
-    cols.clear();
-    int q = r2 % L.Pc;
-    for(int64_t b=0; b*L.nb<L.N; b++){
-      if ( (int)(b % L.Pc) != q ) continue;
-      int64_t g0=b*L.nb, g1=std::min(L.N,(b+1)*L.nb);
-      for(int64_t j=g0;j<g1;j++) cols.push_back(j);
-    }
-  }
-
-  /////////////////////////////////////////////////////////////////////////
-  // Gather/scatter one edge between a matrix (device, column major, ld)
-  // and a dense edge buffer, through device offset tables.
-  //   buffer(a,b) = elem(rows[a], cols[b]),  a fastest.
-  /////////////////////////////////////////////////////////////////////////
-  static void MoveEdge(int toBuffer,
-                       ComplexD *mat, int64_t ld,
-                       const std::vector<int64_t> &roff,  // per-row offset in mat
-                       const std::vector<int64_t> &coff,  // per-col offset in mat
-                       ComplexD *buf)
-  {
-    int64_t nr = roff.size();
-    int64_t nc = coff.size();
-    if ( !(nr && nc) ) return;
-    deviceVector<int64_t> dro(nr), dco(nc);
-    acceleratorCopyToDevice((void *)&roff[0], (void *)&dro[0], nr*sizeof(int64_t));
-    acceleratorCopyToDevice((void *)&coff[0], (void *)&dco[0], nc*sizeof(int64_t));
-    int64_t *ro = &dro[0];
-    int64_t *co = &dco[0];
-    if ( toBuffer ) {
-      accelerator_for(idx, (uint64_t)(nr*nc), 1, {
-        int64_t b = idx / nr;
-        int64_t a = idx - b*nr;
-        buf[a + b*nr] = mat[ ro[a] + co[b]*ld ];
-      });
-    } else {
-      accelerator_for(idx, (uint64_t)(nr*nc), 1, {
-        int64_t b = idx / nr;
-        int64_t a = idx - b*nr;
-        mat[ ro[a] + co[b]*ld ] = buf[a + b*nr];
-      });
-    }
-  }
-
-  /////////////////////////////////////////////////////////////////////////
-  // My offset tables for an edge, on whichever side I am.
-  /////////////////////////////////////////////////////////////////////////
-  static void Offsets1D(const std::vector<int64_t> &rows,
-                        const std::vector<int64_t> &cols,
-                        int64_t row0,
-                        std::vector<int64_t> &roff, std::vector<int64_t> &coff)
-  {
-    roff.resize(rows.size());  coff.resize(cols.size());
-    for(uint64_t a=0;a<rows.size();a++) roff[a] = rows[a]-row0;   // local row
-    for(uint64_t b=0;b<cols.size();b++) coff[b] = cols[b];        // global col
-  }
-  static void Offsets2D(const BlockCyclicLayout &L,
-                        const std::vector<int64_t> &rows,
-                        const std::vector<int64_t> &cols,
-                        std::vector<int64_t> &roff, std::vector<int64_t> &coff)
-  {
-    roff.resize(rows.size());  coff.resize(cols.size());
-    for(uint64_t a=0;a<rows.size();a++){
-      int p; int64_t l;
-      BlockCyclicLayout::GlobalToLocal(rows[a], L.nb, L.Pr, p, l);
-      GRID_ASSERT( p == L.prow );
-      roff[a] = l;
-    }
-    for(uint64_t b=0;b<cols.size();b++){
-      int q; int64_t l;
-      BlockCyclicLayout::GlobalToLocal(cols[b], L.nb, L.Pc, q, l);
-      GRID_ASSERT( q == L.pcol );
-      coff[b] = l;
-    }
-  }
-
-  /////////////////////////////////////////////////////////////////////////
-  // The worker.  dir=+1 : 1D rows -> block cyclic ;  dir=-1 : back.
-  /////////////////////////////////////////////////////////////////////////
-  static void Redistribute(int dir, GridBase *grid,
-                           const std::vector<int64_t> &rowStart,
-                           ComplexD *rows1d, int64_t myrows,
-                           BlockCyclicMatrix &A)
-  {
-    BlockCyclicLayout &L = A.layout;
-    int P  = grid->ProcessorCount();
-    int me = grid->ThisRank();
-    GRID_ASSERT( (int)rowStart.size() == P+1 );
-    GRID_ASSERT( rowStart[P] == L.N );
-    GRID_ASSERT( rowStart[me+1]-rowStart[me] == myrows );
-    int64_t row0 = rowStart[me];
-    int64_t ld1  = myrows ? myrows : 1;
-
-    std::vector<int64_t> rows, cols, roff, coff;
-    deviceVector<ComplexD> sbuf(1), rbuf(1);
-
-    ///////////////////////////////////////////////////////////////////////
-    // Self edge: purely local, via a bounce buffer (shares all the code).
-    ///////////////////////////////////////////////////////////////////////
-    EdgeRows(rowStart, me, L, me, rows);
-    EdgeCols(L, me, cols);
-    if ( rows.size() && cols.size() ){
-      uint64_t ne = rows.size()*cols.size();
-      if ( sbuf.size() < ne ) sbuf.resize(ne);
-      std::vector<int64_t> roff2, coff2;
-      Offsets1D(rows, cols, row0, roff, coff);
-      Offsets2D(L,  rows, cols, roff2, coff2);
-      if ( dir > 0 ) {
-        MoveEdge(1, rows1d,     ld1,     roff,  coff,  &sbuf[0]);
-        MoveEdge(0, &A.data[0], L.mloc,  roff2, coff2, &sbuf[0]);
-      } else {
-        MoveEdge(1, &A.data[0], L.mloc,  roff2, coff2, &sbuf[0]);
-        MoveEdge(0, rows1d,     ld1,     roff,  coff,  &sbuf[0]);
-      }
-    }
-
-    ///////////////////////////////////////////////////////////////////////
-    // Tournament over all pairs: odd modulus M, partner = (r - me) mod M.
-    // Every unordered pair meets exactly once; partner==me or >=P is a bye.
-    ///////////////////////////////////////////////////////////////////////
-    int M = (P%2) ? P : P+1;
-    for(int r=0;r<M;r++){
-      int partner = (int)(((int64_t)r - me + 2L*M) % M);
-      if ( partner == me || partner >= P ) continue;
-
-      // outbound edge: my (dir>0 ? 1D rows : 2D data) -> partner
-      // inbound  edge: partner -> my (dir>0 ? 2D data : 1D rows)
-      std::vector<int64_t> orow, ocol, irow, icol;
-      if ( dir > 0 ) { EdgeRows(rowStart, me,      L, partner, orow); EdgeCols(L, partner, ocol);
-                       EdgeRows(rowStart, partner, L, me,      irow); EdgeCols(L, me,      icol); }
-      else           { EdgeRows(rowStart, partner, L, me,      orow); EdgeCols(L, me,      ocol);
-                       EdgeRows(rowStart, me,      L, partner, irow); EdgeCols(L, partner, icol); }
-
-      uint64_t nout = orow.size()*ocol.size();
-      uint64_t nin  = irow.size()*icol.size();
-      if ( !(nout || nin) ) continue;              // both ends compute this identically
-
-      uint64_t nmax = std::max(nout,nin);          // symmetric padded transfer
-      if ( sbuf.size() < nmax ) sbuf.resize(nmax);
-      if ( rbuf.size() < nmax ) rbuf.resize(nmax);
-
-      if ( nout ){
-        if ( dir > 0 ) { Offsets1D(orow, ocol, row0, roff, coff);
-                         MoveEdge(1, rows1d, ld1, roff, coff, &sbuf[0]); }
-        else           { Offsets2D(L, orow, ocol, roff, coff);
-                         MoveEdge(1, &A.data[0], L.mloc, roff, coff, &sbuf[0]); }
-      }
-      grid->SendToRecvFrom((void *)&sbuf[0], partner,
-                           (void *)&rbuf[0], partner,
-                           nmax*sizeof(ComplexD));
-      if ( nin ){
-        if ( dir > 0 ) { Offsets2D(L, irow, icol, roff, coff);
-                         MoveEdge(0, &A.data[0], L.mloc, roff, coff, &rbuf[0]); }
-        else           { Offsets1D(irow, icol, row0, roff, coff);
-                         MoveEdge(0, rows1d, ld1, roff, coff, &rbuf[0]); }
-      }
-    }
-  }
-
-  static void RowsToCyclic(GridBase *grid, const std::vector<int64_t> &rowStart,
-                           ComplexD *rows1d, int64_t myrows, BlockCyclicMatrix &A)
-  { Redistribute(+1, grid, rowStart, rows1d, myrows, A); }
-
-  static void CyclicToRows(GridBase *grid, const std::vector<int64_t> &rowStart,
-                           BlockCyclicMatrix &A, ComplexD *rows1d, int64_t myrows)
-  { Redistribute(-1, grid, rowStart, rows1d, myrows, A); }
-};
-
-NAMESPACE_END(Grid);

Grid/algorithms/multigrid/BlockCyclicSchurInverse.h

@@ -1,291 +0,0 @@
-/*************************************************************************************
-
-    Grid physics library, www.github.com/paboyle/Grid
-
-    Source file: ./Grid/algorithms/multigrid/BlockCyclicSchurInverse.h
-
-    Copyright (C) 2026
-
-Author: Peter Boyle <pboyle@bnl.gov>
-
-    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.
-
-    See the full license in the file "LICENSE" in the top level distribution
-    directory
-*************************************************************************************/
-/*  END LEGAL */
-#pragma once
-
-#include <Grid/algorithms/blas/BatchedInverse.h>
-#include <Grid/algorithms/multigrid/BlockCyclicSumma.h>
-
-NAMESPACE_BEGIN(Grid);
-
-///////////////////////////////////////////////////////////////////////////////
-// Stage 3 of the 2D distributed dense inverse: the recursive Schur
-// complement on a block-cyclic matrix, in place.
-//
-// The nine-step algebra is IDENTICAL to RecursiveSchurInverse (1D); what
-// changes is the decomposition.  The recursion splits the GLOBAL INDEX
-// RANGE at the block boundary nearest the midpoint -- not the rank range --
-// so every rank owns part of every sub-block at every depth, and the
-// ownership gating (inI/inJ, dummy operands, zero-width rank ranges) of the
-// 1D scheme has no analogue here: it is simply gone.
-//
-//   I = [c0,m)   J = [m,c1)      (block-aligned, m the mid block boundary)
-//   1. recurse I  :  A11 -> A11inv                        (in place)
-//   2. Bt = A11inv . A12                                  (scratch, I x J)
-//   3. Ct = A21 . A11inv                                  (scratch, J x I)
-//   4. A22 -= A21 . Bt          == S                      (in place)
-//   5. recurse J  :  S -> Sinv                            (in place)
-//   6. Tt = Sinv . Ct                                     (scratch, J x I)
-//   7. Ut = Bt . Sinv                                     (scratch, I x J)
-//   8. A11 += Ut . Ct           == X11                    (in place)
-//   9. A12 = -Ut ,  A21 = -Tt                             (window copies)
-//
-// SCRATCH SHARING.  Four full-size block-cyclic scratch matrices (Bt, Ct,
-// Tt, Ut) serve the ENTIRE tree, used through windows.  This is safe at
-// every depth because of a window-disjointness invariant:
-//
-//   * every temporary of a node has its row range in one half of the
-//     node's window and its column range in the other (I x J or J x I);
-//   * everything any DESCENDANT touches -- its A windows and its own
-//     temporaries -- has BOTH ranges inside a single half (I x I during
-//     step 1, J x J during step 5).
-//
-// Hence a descendant window and a live ancestor temporary always differ in
-// at least one dimension by disjoint ranges.  Only Bt and Ct are live
-// across the step-5 recursion (Tt, Ut are written after it), and both are
-// covered by the invariant.
-//
-// LEAF.  A leaf is a single diagonal block, and block (b,b) of a
-// block-cyclic layout lives ENTIRELY on rank (b%Pr, b%Pc).  The leaf
-// inversion is therefore purely local -- pack the strided block dense,
-// GridBLASInverse, unpack -- with NO communication and no assembly.  The
-// leaf-assembly transport question of the 1D scheme does not arise.
-// Successive leaves cycle over ranks, so leaf work is naturally spread.
-//
-// COMMUNICATION.  Every transfer in the whole inversion is a
-// SendToRecvFrom inside BlockCyclicSumma's rings: pure point-to-point, no
-// collectives on the critical path, deterministic summation order (so
-// repeated inversions are bitwise identical).  ReportTelemetry() is the
-// one optional exception: it performs reductions, and is only ever called
-// explicitly by a caller who wants the numbers.
-//
-// NUMERICS.  No pivoting, exactly as the 1D scheme: every A11 and every
-// Schur complement met on the way down must be non-singular.  The growth
-// telemetry stands in for pivoting; note the recursion splits differently
-// from the 1D rank-range tree, so DIFFERENT sub-blocks are inverted and
-// telemetry values are NOT comparable with the 1D implementation's --
-// re-baseline, do not compare.
-///////////////////////////////////////////////////////////////////////////////
-
-class BlockCyclicSchurInverse
-{
-public:
-  BlockCyclicSumma        SUMMA;
-  GridBLASInverse         INV;
-
-  // Telemetry: accumulated LOCALLY, no comms unless ReportTelemetry().
-  double                  telLeafMaxInv;
-  uint64_t                nLeaf;
-  uint64_t                nNode;
-  double                  tLeaf;
-  double                  tGemm;      // wall in Multiply calls (comms+gemm)
-  double                  tCopy;
-
-  BlockCyclicSchurInverse()
-  {
-    telLeafMaxInv = 0.0;
-    nLeaf = nNode = 0;
-    tLeaf = tGemm = tCopy = 0.0;
-  }
-
-  ///////////////////////////////////////////////////////////////////////////
-  // Window copy-scale:  Dst[i0:i1, j0:j1] = alpha * Src[same window].
-  // Both share one layout, so the local bands coincide; pure local kernel.
-  ///////////////////////////////////////////////////////////////////////////
-  void WindowCopyScale(ComplexD alpha,
-                       BlockCyclicMatrix &Src, BlockCyclicMatrix &Dst,
-                       int64_t i0, int64_t i1, int64_t j0, int64_t j1)
-  {
-    BlockCyclicLayout &L = Dst.layout;
-    GRID_ASSERT( Src.layout.N==L.N && Src.layout.nb==L.nb );
-    GRID_ASSERT( Src.layout.Pr==L.Pr && Src.layout.Pc==L.Pc );
-    int64_t li0,li1, lj0,lj1;
-    L.RowRange(i0,i1, li0,li1);
-    L.ColRange(j0,j1, lj0,lj1);
-    int64_t m = li1-li0, n = lj1-lj0;
-    if ( !(m && n) ) return;
-    ComplexD *src = Src.LocalWindow(li0,lj0);
-    ComplexD *dst = Dst.LocalWindow(li0,lj0);
-    int64_t ldS = Src.layout.mloc;
-    int64_t ldD = L.mloc;
-    tCopy -= usecond();
-    accelerator_for(idx, (uint64_t)(m*n), 1, {
-      int64_t jj = idx / m;
-      int64_t ii = idx - jj*m;
-      dst[ii + jj*ldD] = alpha*src[ii + jj*ldS];
-    });
-    tCopy += usecond();
-  }
-
-  ///////////////////////////////////////////////////////////////////////////
-  // Leaf: single diagonal block (b,b), entirely on rank (b%Pr, b%Pc).
-  // Local pack -> dense inverse -> unpack; every other rank does nothing
-  // and needs no synchronisation: the next SUMMA's rings pair them up.
-  ///////////////////////////////////////////////////////////////////////////
-  void Leaf(BlockCyclicMatrix &A, int64_t b)
-  {
-    BlockCyclicLayout &L = A.layout;
-    nLeaf++;
-    if ( (int)(b % L.Pr) != L.prow ) return;
-    if ( (int)(b % L.Pc) != L.pcol ) return;
-
-    tLeaf -= usecond();
-    int64_t g0 = b*L.nb;
-    int64_t g1 = std::min(L.N, g0+L.nb);
-    int64_t w  = g1-g0;
-    int64_t lr0,lr1, lc0,lc1;
-    L.RowRange(g0,g1, lr0,lr1);
-    L.ColRange(g0,g1, lc0,lc1);
-    GRID_ASSERT( lr1-lr0 == w );
-    GRID_ASSERT( lc1-lc0 == w );
-
-    // Pack the strided block dense (inverseBatched assumes lda == w).
-    deviceVector<ComplexD> dense((uint64_t)w*w);
-    {
-      ComplexD *src = A.LocalWindow(lr0,lc0);
-      ComplexD *dst = &dense[0];
-      int64_t   ld  = L.mloc;
-      accelerator_for(idx, (uint64_t)(w*w), 1, {
-        int64_t jj = idx / w;
-        int64_t ii = idx - jj*w;
-        dst[ii + jj*w] = src[ii + jj*ld];
-      });
-    }
-    {
-      deviceVector<ComplexD*> bp(1);
-      std::vector<ComplexD*>  ptr(1);
-      ptr[0] = &dense[0];
-      acceleratorCopyToDevice(&ptr[0], &bp[0], sizeof(ComplexD*));
-      INV.inverseBatched(w, bp);
-    }
-    {
-      ComplexD *src = &dense[0];
-      ComplexD *dst = A.LocalWindow(lr0,lc0);
-      int64_t   ld  = L.mloc;
-      accelerator_for(idx, (uint64_t)(w*w), 1, {
-        int64_t jj = idx / w;
-        int64_t ii = idx - jj*w;
-        dst[ii + jj*ld] = src[ii + jj*w];
-      });
-    }
-    // Growth telemetry, local only.
-    {
-      std::vector<ComplexD> h((uint64_t)w*w);
-      acceleratorCopyFromDevice(&dense[0], &h[0], h.size()*sizeof(ComplexD));
-      double mx = 0.0;
-      for(auto &z : h){
-        double re=z.real(), im=z.imag();
-        mx = std::max(mx, re*re+im*im);
-      }
-      telLeafMaxInv = std::max(telLeafMaxInv, std::sqrt(mx));
-    }
-    tLeaf += usecond();
-  }
-
-  ///////////////////////////////////////////////////////////////////////////
-  // The recursion, on global BLOCK range [b0,b1).  SPMD: every rank calls
-  // with identical arguments; there is no ownership gating to get wrong.
-  ///////////////////////////////////////////////////////////////////////////
-  void SchurNode(BlockCyclicMatrix &A,
-                 BlockCyclicMatrix &Bt, BlockCyclicMatrix &Ct,
-                 BlockCyclicMatrix &Tt, BlockCyclicMatrix &Ut,
-                 int64_t b0, int64_t b1)
-  {
-    BlockCyclicLayout &L = A.layout;
-    int64_t span = b1-b0;
-    GRID_ASSERT( span >= 1 );
-    if ( span == 1 ) { Leaf(A, b0); return; }
-    nNode++;
-
-    int64_t bm = b0 + span/2;
-    int64_t c0 = b0*L.nb;
-    int64_t m  = bm*L.nb;
-    int64_t c1 = std::min(L.N, b1*L.nb);
-    ComplexD one (1.0,0.0), mone(-1.0,0.0), zero(0.0,0.0);
-
-    // 1. A11 -> A11inv
-    SchurNode(A,Bt,Ct,Tt,Ut, b0,bm);
-
-    tGemm -= usecond();
-    // 2. Bt[I,J] = A11inv . A12
-    SUMMA.Multiply(one,  A,  A,  zero, Bt, c0,m,  m,c1,  c0,m );
-    // 3. Ct[J,I] = A21 . A11inv
-    SUMMA.Multiply(one,  A,  A,  zero, Ct, m,c1,  c0,m,  c0,m );
-    // 4. A22 -= A21 . Bt   (the Schur complement, in place)
-    SUMMA.Multiply(mone, A,  Bt, one,  A,  m,c1,  m,c1,  c0,m );
-    tGemm += usecond();
-
-    // 5. S -> Sinv          (Bt, Ct live across this call: see invariant)
-    SchurNode(A,Bt,Ct,Tt,Ut, bm,b1);
-
-    tGemm -= usecond();
-    // 6. Tt[J,I] = Sinv . Ct
-    SUMMA.Multiply(one,  A,  Ct, zero, Tt, m,c1,  c0,m,  m,c1 );
-    // 7. Ut[I,J] = Bt . Sinv
-    SUMMA.Multiply(one,  Bt, A,  zero, Ut, c0,m,  m,c1,  m,c1 );
-    // 8. A11 += Ut . Ct
-    SUMMA.Multiply(one,  Ut, Ct, one,  A,  c0,m,  c0,m,  m,c1 );
-    tGemm += usecond();
-
-    // 9. Off-diagonal signs
-    WindowCopyScale(mone, Ut, A, c0,m,  m,c1);
-    WindowCopyScale(mone, Tt, A, m,c1,  c0,m);
-  }
-
-  ///////////////////////////////////////////////////////////////////////////
-  // PUBLIC ENTRY.  In-place inverse of the whole matrix.  Scratch (4x the
-  // matrix footprint) is allocated here and released on return.
-  ///////////////////////////////////////////////////////////////////////////
-  void Invert(BlockCyclicMatrix &A)
-  {
-    BlockCyclicLayout &L = A.layout;
-    GRID_ASSERT( L.N >= 1 );
-    int64_t nblocks = (L.N + L.nb - 1)/L.nb;
-
-    BlockCyclicMatrix Bt(A.grid, L.N, L.nb, L.Pr, L.Pc);
-    BlockCyclicMatrix Ct(A.grid, L.N, L.nb, L.Pr, L.Pc);
-    BlockCyclicMatrix Tt(A.grid, L.N, L.nb, L.Pr, L.Pc);
-    BlockCyclicMatrix Ut(A.grid, L.N, L.nb, L.Pr, L.Pc);
-
-    telLeafMaxInv = 0.0;
-    nLeaf = nNode = 0;
-    tLeaf = tGemm = tCopy = 0.0;
-
-    SchurNode(A, Bt,Ct,Tt,Ut, 0, nblocks);
-  }
-
-  ///////////////////////////////////////////////////////////////////////////
-  // Optional, and the ONLY place any reduction happens: call it if you
-  // want the numbers, never from Invert.
-  ///////////////////////////////////////////////////////////////////////////
-  void ReportTelemetry(GridBase *grid)
-  {
-    RealD mx = telLeafMaxInv;
-    grid->GlobalMax(mx);
-    std::cout << GridLogMessage << "BlockCyclicSchurInverse:"
-              << "  nodes " << nNode << "  leaves " << nLeaf
-              << "  max|leafinv| " << mx
-              << "  (boss secs: gemm+comms " << tGemm/1.0e6
-              << "  leaf " << tLeaf/1.0e6
-              << "  copy " << tCopy/1.0e6 << ")"
-              << std::endl;
-  }
-};
-
-NAMESPACE_END(Grid);

Grid/algorithms/multigrid/BlockCyclicSumma.h

@@ -1,299 +0,0 @@
-/*************************************************************************************
-
-    Grid physics library, www.github.com/paboyle/Grid
-
-    Source file: ./Grid/algorithms/multigrid/BlockCyclicSumma.h
-
-    Copyright (C) 2026
-
-Author: Peter Boyle <pboyle@bnl.gov>
-
-    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.
-
-    See the full license in the file "LICENSE" in the top level distribution
-    directory
-*************************************************************************************/
-/*  END LEGAL */
-#pragma once
-
-#include <Grid/algorithms/multigrid/BlockCyclic.h>
-
-NAMESPACE_BEGIN(Grid);
-
-///////////////////////////////////////////////////////////////////////////////
-// Stage 2 of the 2D distributed dense inverse: the windowed SUMMA product
-//
-//   C[i0:i1, j0:j1]  <-  beta C[i0:i1, j0:j1]
-//                      + alpha A[i0:i1, k0:k1] . B[k0:k1, j0:j1]
-//
-// on block-cyclic matrices sharing one BlockCyclicLayout.  All ranges are
-// BLOCK ALIGNED (multiples of nb, or N itself at the top end): stage 3's
-// recursion splits on block boundaries, so nothing else is ever needed, and
-// alignment makes every local window a contiguous band of local storage
-// (BlockCyclic.h RangeToLocal, Test_blockcyclic T7).
-//
-// Transport is PURE POINT-TO-POINT: SendToRecvFrom on explicit world ranks
-// computed from the row-major rank convention.  No collectives of any kind
-// -- no sub-communicators, no broadcast, no allgather -- by design: the
-// collective pathologies measured on this machine (MPI_Allgatherv at
-// ~0.18 MB/s with skewed counts, mpir_request.h:508 aborts, allreduce at
-// 39% of the P2P rate) motivated this implementation.  SendToRecvFrom is
-// the most exercised device-buffer path in Grid and the only one never
-// implicated.
-//
-// Algorithm: round-based ring allgather SUMMA.  The k range is processed in
-// rounds of Pc consecutive global blocks.  Within a round
-//
-//   * process column c owns at most one A panel  (blocks s with s%Pc == c);
-//     the Pc panels circulate around each process-ROW ring in Pc-1 steps;
-//   * process row r owns up to ceil(Pc/Pr) B panels (blocks s%Pr == r);
-//     they circulate around each process-COLUMN ring in Pr-1 steps;
-//   * every rank then accumulates  Cloc += alpha * Apanel_s . Bpanel_s
-//     for each block s of the round, in ascending s: a fixed summation
-//     order, so REPEATED RUNS ARE BITWISE IDENTICAL (no reduction, no
-//     order ambiguity -- the property the P2P doctrine buys).
-//
-// Ring chunks are PADDED to a fixed size (full nb panels, fixed
-// panels-per-origin): SendToRecvFrom carries one byte count for both
-// directions, so symmetric transfers eliminate every variable-size edge
-// case at a worst-case ~1/Pc extra volume on ragged rounds.  Padding is
-// never read: GEMMs address only the leading nb_s x width of each slot.
-//
-// Per-rank received volume: (k-extent) * (mloc_i + nloc_j) elements --
-// the N^2 (1/Pr + 1/Pc) SUMMA optimum, ~sqrt(P)/2 below the 1D scheme.
-///////////////////////////////////////////////////////////////////////////////
-
-class BlockCyclicMatrix
-{
-public:
-  GridBase              *grid;      // borrowed, never owned
-  BlockCyclicLayout      layout;
-  deviceVector<ComplexD> data;      // column major, ld = layout.mloc
-
-  BlockCyclicMatrix(GridBase *g, int64_t N, int64_t nb, int Pr, int Pc)
-    : grid(g),
-      layout(N, nb, Pr, Pc, g->ThisRank())
-  {
-    GRID_ASSERT( Pr*Pc == g->ProcessorCount() );
-    uint64_t sz = (uint64_t)layout.mloc*layout.nloc;
-    data.resize( sz ? sz : 1 );
-  }
-
-  ComplexD *LocalWindow(int64_t li, int64_t lj)
-  {
-    return &data[0] + li + lj*layout.mloc;
-  }
-
-  /////////////////////////////////////////////////////////////////////////
-  // TEST-SCALE import/export of a replicated global matrix (host, O(N^2)
-  // loops, one collective in Export).  For unit tests and the stage-3
-  // oracle only; production data enters through the direct block-cyclic
-  // import, never through these.
-  /////////////////////////////////////////////////////////////////////////
-  void ImportGlobal(const std::vector<ComplexD> &G)
-  {
-    int64_t N = layout.N;
-    GRID_ASSERT( (int64_t)G.size() == N*N );
-    std::vector<ComplexD> h((uint64_t)layout.mloc*layout.nloc, ComplexD(0.0,0.0));
-    for(int64_t j=0;j<N;j++){
-      for(int64_t i=0;i<N;i++){
-        if ( layout.Owns(i,j) ) h[layout.LocalOffset(i,j)] = G[i + j*N];
-      }
-    }
-    if ( h.size() )
-      acceleratorCopyToDevice(&h[0], &data[0], h.size()*sizeof(ComplexD));
-  }
-  void ExportGlobal(std::vector<ComplexD> &G)
-  {
-    int64_t N = layout.N;
-    G.assign((uint64_t)N*N, ComplexD(0.0,0.0));
-    std::vector<ComplexD> h((uint64_t)layout.mloc*layout.nloc);
-    if ( h.size() )
-      acceleratorCopyFromDevice(&data[0], &h[0], h.size()*sizeof(ComplexD));
-    for(int64_t j=0;j<N;j++){
-      for(int64_t i=0;i<N;i++){
-        if ( layout.Owns(i,j) ) G[i + j*N] = h[layout.LocalOffset(i,j)];
-      }
-    }
-    if ( N ) grid->GlobalSumVector((ComplexD *)&G[0], (int)(N*N)); // zero-fill: exact
-  }
-};
-
-class BlockCyclicSumma
-{
-public:
-  GridBLAS BLAS;
-
-  static int Overlap(int64_t a0,int64_t a1,int64_t b0,int64_t b1)
-  { return (a0 < b1) && (b0 < a1); }
-
-  void Multiply(ComplexD alpha,
-                BlockCyclicMatrix &A,
-                BlockCyclicMatrix &B,
-                ComplexD beta,
-                BlockCyclicMatrix &C,
-                int64_t i0, int64_t i1,
-                int64_t j0, int64_t j1,
-                int64_t k0, int64_t k1)
-  {
-    BlockCyclicLayout &L = C.layout;
-    GridBase *grid = C.grid;
-    const int64_t N  = L.N;
-    const int64_t nb = L.nb;
-    const int     Pr = L.Pr,   Pc   = L.Pc;
-    const int     prow = L.prow, pcol = L.pcol;
-
-    ///////////////////////////////////////////////////////////////////////
-    // Conformability: one layout, one communicator, aligned ranges.
-    ///////////////////////////////////////////////////////////////////////
-    auto same = [&](BlockCyclicLayout &X){
-      GRID_ASSERT( X.N==N ); GRID_ASSERT( X.nb==nb );
-      GRID_ASSERT( X.Pr==Pr ); GRID_ASSERT( X.Pc==Pc );
-      GRID_ASSERT( X.me==L.me );
-    };
-    same(A.layout); same(B.layout);
-    GRID_ASSERT( A.grid==grid ); GRID_ASSERT( B.grid==grid );
-    auto aligned = [&](int64_t g0,int64_t g1){
-      GRID_ASSERT( 0<=g0 ); GRID_ASSERT( g0<=g1 ); GRID_ASSERT( g1<=N );
-      GRID_ASSERT( g0%nb==0 ); GRID_ASSERT( (g1%nb==0)||(g1==N) );
-    };
-    aligned(i0,i1); aligned(j0,j1); aligned(k0,k1);
-    GRID_ASSERT( k1 > k0 );                    // pure scaling not supported here
-    // In-place windows are legal only if the written window is disjoint
-    // from anything read (stage 3 uses this; make violation loud).
-    if ( &C==&A ) GRID_ASSERT( !Overlap(j0,j1,k0,k1) );
-    if ( &C==&B ) GRID_ASSERT( !Overlap(i0,i1,k0,k1) );
-
-    ///////////////////////////////////////////////////////////////////////
-    // My local bands of the three windows (contiguous: T7).
-    ///////////////////////////////////////////////////////////////////////
-    int64_t li0,li1, lj0,lj1;
-    L.RowRange(i0,i1, li0,li1);
-    L.ColRange(j0,j1, lj0,lj1);
-    const int64_t mloc_i = li1-li0;            // my rows of the i window
-    const int64_t nloc_j = lj1-lj0;            // my cols of the j window
-
-    const int64_t kb0 = k0/nb;
-    const int64_t kb1 = (k1+nb-1)/nb;          // block-aligned or ==N: exact
-    const int64_t S   = (Pc + Pr - 1)/Pr;      // max B panels per origin row
-
-    ///////////////////////////////////////////////////////////////////////
-    // Round buffers, padded to fixed slot sizes (see header comment).
-    //   A: Pc slots of mloc_i x nb   (slot c = panel of the block owned by c)
-    //   B: Pr slots of S x (nb x nloc_j)
-    ///////////////////////////////////////////////////////////////////////
-    const uint64_t slotA  = (uint64_t)mloc_i*nb;
-    const uint64_t slotB1 = (uint64_t)nb*nloc_j;         // one panel
-    const uint64_t slotB  = (uint64_t)S*slotB1;
-    deviceVector<ComplexD> Abuf( slotA*Pc ? slotA*Pc : 1 );
-    deviceVector<ComplexD> Bbuf( slotB*Pr ? slotB*Pr : 1 );
-
-    deviceVector<ComplexD *> ap(1), bp(1), cp(1);
-    std::vector<ComplexD *>  ptr(1);
-
-    int firstblock = 1;
-    for(int64_t r0=kb0; r0<kb1; r0+=Pc){       // rounds of Pc k-blocks
-      int64_t r1 = std::min(kb1, r0+Pc);
-
-      /////////////////////////////////////////////////////////////////////
-      // Pack MY panels of this round into my origin slots.
-      /////////////////////////////////////////////////////////////////////
-      for(int64_t s=r0; s<r1; s++){
-        int64_t nb_s = L.BlockSize(s);
-        if ( (int)(s%Pc) == pcol && mloc_i ){  // my A panel: block-column s
-          int64_t lc0, lc1;
-          L.ColRange(s*nb, std::min(N,(s+1)*nb), lc0, lc1);
-          GRID_ASSERT( lc1-lc0 == nb_s );
-          ComplexD *src = A.LocalWindow(li0, lc0);
-          ComplexD *dst = &Abuf[0] + slotA*pcol;
-          int64_t   ld  = A.layout.mloc;
-          int64_t   m   = mloc_i;
-          accelerator_for(idx, (uint64_t)(m*nb_s), 1, {
-            int64_t jj = idx / m;
-            int64_t ii = idx - jj*m;
-            dst[ii + jj*m] = src[ii + jj*ld];
-          });
-        }
-        if ( (int)(s%Pr) == prow && nloc_j ){  // my B panel: block-row s
-          int64_t lr0, lr1;
-          L.RowRange(s*nb, std::min(N,(s+1)*nb), lr0, lr1);
-          GRID_ASSERT( lr1-lr0 == nb_s );
-          int64_t idxs = (s - r0 - ((prow - r0%Pr + Pr) % Pr)) / Pr; // my panel # in round
-          GRID_ASSERT( idxs >= 0 ); GRID_ASSERT( idxs < S );
-          ComplexD *src = B.LocalWindow(lr0, lj0);
-          ComplexD *dst = &Bbuf[0] + slotB*prow + slotB1*idxs;
-          int64_t   ld  = B.layout.mloc;
-          int64_t   nn  = nloc_j;
-          accelerator_for(idx, (uint64_t)(nb_s*nn), 1, {
-            int64_t jj = idx / nb_s;
-            int64_t ii = idx - jj*nb_s;
-            dst[ii + jj*nb_s] = src[ii + jj*ld];
-          });
-        }
-      }
-      accelerator_barrier();
-
-      /////////////////////////////////////////////////////////////////////
-      // Ring allgather along my process ROW: Pc-1 symmetric steps.  At
-      // step t send the slot of origin (pcol-t+1), receive origin (pcol-t).
-      /////////////////////////////////////////////////////////////////////
-      if ( Pc > 1 && slotA ){
-        int dest = prow*Pc + (pcol+1)%Pc;
-        int src  = prow*Pc + (pcol-1+Pc)%Pc;
-        for(int t=1;t<Pc;t++){
-          int cs = (pcol - t + 1 + Pc*Pc) % Pc;
-          int cr = (pcol - t     + Pc*Pc) % Pc;
-          grid->SendToRecvFrom((void *)(&Abuf[0]+slotA*cs), dest,
-                               (void *)(&Abuf[0]+slotA*cr), src,
-                               slotA*sizeof(ComplexD));
-        }
-      }
-      /////////////////////////////////////////////////////////////////////
-      // Ring allgather along my process COLUMN: Pr-1 symmetric steps.
-      /////////////////////////////////////////////////////////////////////
-      if ( Pr > 1 && slotB ){
-        int dest = ((prow+1)%Pr)*Pc + pcol;
-        int src  = ((prow-1+Pr)%Pr)*Pc + pcol;
-        for(int t=1;t<Pr;t++){
-          int rs = (prow - t + 1 + Pr*Pr) % Pr;
-          int rr = (prow - t     + Pr*Pr) % Pr;
-          grid->SendToRecvFrom((void *)(&Bbuf[0]+slotB*rs), dest,
-                               (void *)(&Bbuf[0]+slotB*rr), src,
-                               slotB*sizeof(ComplexD));
-        }
-      }
-
-      /////////////////////////////////////////////////////////////////////
-      // Local update, ascending s: fixed order, bitwise-reproducible.
-      /////////////////////////////////////////////////////////////////////
-      for(int64_t s=r0; s<r1; s++){
-        int64_t nb_s = L.BlockSize(s);
-        if ( !(mloc_i && nloc_j && nb_s) ) { firstblock = 0; continue; }
-        int cA = (int)(s%Pc);
-        int rB = (int)(s%Pr);
-        int64_t idxs = (s - r0 - ((rB - r0%Pr + Pr) % Pr)) / Pr;
-        ComplexD beta_use = firstblock ? beta : ComplexD(1.0,0.0);
-        firstblock = 0;
-
-        ptr[0] = &Abuf[0] + slotA*cA;
-        acceleratorCopyToDevice(&ptr[0], &ap[0], sizeof(ComplexD *));
-        ptr[0] = &Bbuf[0] + slotB*rB + slotB1*idxs;
-        acceleratorCopyToDevice(&ptr[0], &bp[0], sizeof(ComplexD *));
-        ptr[0] = C.LocalWindow(li0, lj0);
-        acceleratorCopyToDevice(&ptr[0], &cp[0], sizeof(ComplexD *));
-
-        BLAS.gemmBatched(GridBLAS_OP_N, GridBLAS_OP_N,
-                         (int)mloc_i, (int)nloc_j, (int)nb_s,
-                         alpha,    ap, (int)mloc_i,
-                                   bp, (int)nb_s,
-                         beta_use, cp, (int)C.layout.mloc);
-        BLAS.synchronise();
-      }
-    }
-  }
-};
-
-NAMESPACE_END(Grid);

Grid/algorithms/multigrid/CoarsenedMatrix.h

@@ -1,837 +0,0 @@
-/*************************************************************************************
-
-    Grid physics library, www.github.com/paboyle/Grid 
-
-    Source file: ./lib/algorithms/CoarsenedMatrix.h
-
-    Copyright (C) 2015
-
-Author: Azusa Yamaguchi <ayamaguc@staffmail.ed.ac.uk>
-Author: Peter Boyle <paboyle@ph.ed.ac.uk>
-Author: Peter Boyle <peterboyle@Peters-MacBook-Pro-2.local>
-Author: paboyle <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  GRID_ALGORITHM_COARSENED_MATRIX_H
-#define  GRID_ALGORITHM_COARSENED_MATRIX_H
-
-#include <Grid/qcd/QCD.h> // needed for Dagger(Yes|No), Inverse(Yes|No)
-
-NAMESPACE_BEGIN(Grid);
-
-template<class vobj,class CComplex>
-inline void blockMaskedInnerProduct(Lattice<CComplex> &CoarseInner,
-				    const Lattice<decltype(innerProduct(vobj(),vobj()))> &FineMask,
-				    const Lattice<vobj> &fineX,
-				    const Lattice<vobj> &fineY)
-{
-  typedef decltype(innerProduct(vobj(),vobj())) dotp;
-
-  GridBase *coarse(CoarseInner.Grid());
-  GridBase *fine  (fineX.Grid());
-
-  Lattice<dotp> fine_inner(fine); fine_inner.Checkerboard() = fineX.Checkerboard();
-  Lattice<dotp> fine_inner_msk(fine);
-
-  // Multiply could be fused with innerProduct
-  // Single block sum kernel could do both masks.
-  fine_inner = localInnerProduct(fineX,fineY);
-  mult(fine_inner_msk, fine_inner,FineMask);
-  blockSum(CoarseInner,fine_inner_msk);
-}
-
-// Fine Object == (per site) type of fine field
-// nbasis      == number of deflation vectors
-template<class Fobj,class CComplex,int nbasis>
-class CoarsenedMatrix : public CheckerBoardedSparseMatrixBase<Lattice<iVector<CComplex,nbasis > > >  {
-public:
-    
-  typedef iVector<CComplex,nbasis >           siteVector;
-  typedef Lattice<CComplex >                  CoarseComplexField;
-  typedef Lattice<siteVector>                 CoarseVector;
-  typedef Lattice<iMatrix<CComplex,nbasis > > CoarseMatrix;
-  typedef iMatrix<CComplex,nbasis >  Cobj;
-  typedef Lattice< CComplex >   CoarseScalar; // used for inner products on fine field
-  typedef Lattice<Fobj >        FineField;
-  typedef CoarseVector FermionField;
-
-  // enrich interface, use default implementation as in FermionOperator ///////
-  void Dminus(CoarseVector const& in, CoarseVector& out) { out = in; }
-  void DminusDag(CoarseVector const& in, CoarseVector& out) { out = in; }
-  void ImportPhysicalFermionSource(CoarseVector const& input, CoarseVector& imported) { imported = input; }
-  void ImportUnphysicalFermion(CoarseVector const& input, CoarseVector& imported) { imported = input; }
-  void ExportPhysicalFermionSolution(CoarseVector const& solution, CoarseVector& exported) { exported = solution; };
-  void ExportPhysicalFermionSource(CoarseVector const& solution, CoarseVector& exported) { exported = solution; };
-
-  ////////////////////
-  // Data members
-  ////////////////////
-  Geometry         geom;
-  GridBase *       _grid; 
-  GridBase*        _cbgrid;
-  int hermitian;
-
-  CartesianStencil<siteVector,siteVector,DefaultImplParams> Stencil; 
-  CartesianStencil<siteVector,siteVector,DefaultImplParams> StencilEven;
-  CartesianStencil<siteVector,siteVector,DefaultImplParams> StencilOdd;
-
-  std::vector<CoarseMatrix> A;
-  std::vector<CoarseMatrix> Aeven;
-  std::vector<CoarseMatrix> Aodd;
-
-  CoarseMatrix AselfInv;
-  CoarseMatrix AselfInvEven;
-  CoarseMatrix AselfInvOdd;
-
-  deviceVector<RealD> dag_factor;
-
-  ///////////////////////
-  // Interface
-  ///////////////////////
-  GridBase * Grid(void)         { return _grid; };   // this is all the linalg routines need to know
-  GridBase * RedBlackGrid()     { return _cbgrid; };
-
-  int ConstEE() { return 0; }
-
-  void M (const CoarseVector &in, CoarseVector &out)
-  {
-    conformable(_grid,in.Grid());
-    conformable(in.Grid(),out.Grid());
-    out.Checkerboard() = in.Checkerboard();
-
-    SimpleCompressor<siteVector> compressor;
-
-    Stencil.HaloExchange(in,compressor);
-    autoView( in_v , in, AcceleratorRead);
-    autoView( out_v , out, AcceleratorWrite);
-    autoView( Stencil_v  , Stencil, AcceleratorRead);
-    int npoint = geom.npoint;
-    typedef LatticeView<Cobj> Aview;
-      
-    deviceVector<Aview> AcceleratorViewContainer(geom.npoint);
-    hostVector<Aview>   hAcceleratorViewContainer(geom.npoint);
-  
-    for(int p=0;p<geom.npoint;p++) {
-      hAcceleratorViewContainer[p] = A[p].View(AcceleratorRead);
-      acceleratorPut(AcceleratorViewContainer[p],hAcceleratorViewContainer[p]);
-    }
-    Aview *Aview_p = & AcceleratorViewContainer[0];
-
-    const int Nsimd = CComplex::Nsimd();
-    typedef decltype(coalescedRead(in_v[0])) calcVector;
-    typedef decltype(coalescedRead(in_v[0](0))) calcComplex;
-
-    int osites=Grid()->oSites();
-
-    accelerator_for(sss, Grid()->oSites()*nbasis, Nsimd, {
-      int ss = sss/nbasis;
-      int b  = sss%nbasis;
-      calcComplex res = Zero();
-      calcVector nbr;
-      int ptype;
-      StencilEntry *SE;
-
-      for(int point=0;point<npoint;point++){
-
-	SE=Stencil_v.GetEntry(ptype,point,ss);
-	  
-	if(SE->_is_local) { 
-	  nbr = coalescedReadPermute(in_v[SE->_offset],ptype,SE->_permute);
-	} else {
-	  nbr = coalescedRead(Stencil_v.CommBuf()[SE->_offset]);
-	}
-	acceleratorSynchronise();
-
-	for(int bb=0;bb<nbasis;bb++) {
-	  res = res + coalescedRead(Aview_p[point][ss](b,bb))*nbr(bb);
-	}
-      }
-      coalescedWrite(out_v[ss](b),res);
-      });
-
-    for(int p=0;p<geom.npoint;p++) hAcceleratorViewContainer[p].ViewClose();
-  };
-
-  void Mdag (const CoarseVector &in, CoarseVector &out)
-  {
-    if(hermitian) {
-      // corresponds to Petrov-Galerkin coarsening
-      return M(in,out);
-    } else {
-      // corresponds to Galerkin coarsening
-      return MdagNonHermitian(in, out);
-    }
-  };
-
-  void MdagNonHermitian(const CoarseVector &in, CoarseVector &out)
-  {
-    conformable(_grid,in.Grid());
-    conformable(in.Grid(),out.Grid());
-    out.Checkerboard() = in.Checkerboard();
-
-    SimpleCompressor<siteVector> compressor;
-
-    Stencil.HaloExchange(in,compressor);
-    autoView( in_v , in, AcceleratorRead);
-    autoView( out_v , out, AcceleratorWrite);
-    autoView( Stencil_v  , Stencil, AcceleratorRead);
-    int npoint = geom.npoint;
-    typedef LatticeView<Cobj> Aview;
-
-
-    deviceVector<Aview> AcceleratorViewContainer(geom.npoint);
-    hostVector<Aview>   hAcceleratorViewContainer(geom.npoint);
-  
-    for(int p=0;p<geom.npoint;p++) {
-      hAcceleratorViewContainer[p] = A[p].View(AcceleratorRead);
-      acceleratorPut(AcceleratorViewContainer[p],hAcceleratorViewContainer[p]);
-    }
-    Aview *Aview_p = & AcceleratorViewContainer[0];
-
-    const int Nsimd = CComplex::Nsimd();
-    typedef decltype(coalescedRead(in_v[0])) calcVector;
-    typedef decltype(coalescedRead(in_v[0](0))) calcComplex;
-
-    int osites=Grid()->oSites();
-
-    deviceVector<int> points(geom.npoint);
-    for(int p=0; p<geom.npoint; p++) { 
-      acceleratorPut(points[p],geom.points_dagger[p]);
-    }
-    auto points_p = &points[0];
-
-    RealD* dag_factor_p = &dag_factor[0];
-
-    accelerator_for(sss, Grid()->oSites()*nbasis, Nsimd, {
-      int ss = sss/nbasis;
-      int b  = sss%nbasis;
-      calcComplex res = Zero();
-      calcVector nbr;
-      int ptype;
-      StencilEntry *SE;
-
-      for(int p=0;p<npoint;p++){
-        int point = points_p[p];
-
-	SE=Stencil_v.GetEntry(ptype,point,ss);
-
-	if(SE->_is_local) {
-	  nbr = coalescedReadPermute(in_v[SE->_offset],ptype,SE->_permute);
-	} else {
-	  nbr = coalescedRead(Stencil_v.CommBuf()[SE->_offset]);
-	}
-	acceleratorSynchronise();
-
-	for(int bb=0;bb<nbasis;bb++) {
-	  res = res + dag_factor_p[b*nbasis+bb]*coalescedRead(Aview_p[point][ss](b,bb))*nbr(bb);
-	}
-      }
-      coalescedWrite(out_v[ss](b),res);
-      });
-
-    for(int p=0;p<geom.npoint;p++) hAcceleratorViewContainer[p].ViewClose();
-  }
-
-  void MdirComms(const CoarseVector &in)
-  {
-    SimpleCompressor<siteVector> compressor;
-    Stencil.HaloExchange(in,compressor);
-  }
-  void MdirCalc(const CoarseVector &in, CoarseVector &out, int point)
-  {
-    conformable(_grid,in.Grid());
-    conformable(_grid,out.Grid());
-    out.Checkerboard() = in.Checkerboard();
-
-    typedef LatticeView<Cobj> Aview;
-
-    deviceVector<Aview> AcceleratorViewContainer(geom.npoint);
-    hostVector<Aview>   hAcceleratorViewContainer(geom.npoint);
-  
-    for(int p=0;p<geom.npoint;p++) {
-      hAcceleratorViewContainer[p] = A[p].View(AcceleratorRead);
-      acceleratorPut(AcceleratorViewContainer[p],hAcceleratorViewContainer[p]);
-    }
-    Aview *Aview_p = & AcceleratorViewContainer[0];
-
-    autoView( out_v , out, AcceleratorWrite);
-    autoView( in_v  , in, AcceleratorRead);
-    autoView( Stencil_v  , Stencil, AcceleratorRead);
-
-    const int Nsimd = CComplex::Nsimd();
-    typedef decltype(coalescedRead(in_v[0])) calcVector;
-    typedef decltype(coalescedRead(in_v[0](0))) calcComplex;
-
-    accelerator_for(sss, Grid()->oSites()*nbasis, Nsimd, {
-      int ss = sss/nbasis;
-      int b  = sss%nbasis;
-      calcComplex res = Zero();
-      calcVector nbr;
-      int ptype;
-      StencilEntry *SE;
-
-      SE=Stencil_v.GetEntry(ptype,point,ss);
-	  
-      if(SE->_is_local) { 
-	nbr = coalescedReadPermute(in_v[SE->_offset],ptype,SE->_permute);
-      } else {
-	nbr = coalescedRead(Stencil_v.CommBuf()[SE->_offset]);
-      }
-      acceleratorSynchronise();
-
-      for(int bb=0;bb<nbasis;bb++) {
-	res = res + coalescedRead(Aview_p[point][ss](b,bb))*nbr(bb);
-      }
-      coalescedWrite(out_v[ss](b),res);
-    });
-    for(int p=0;p<geom.npoint;p++) hAcceleratorViewContainer[p].ViewClose();
-  }
-  void MdirAll(const CoarseVector &in,std::vector<CoarseVector> &out)
-  {
-    this->MdirComms(in);
-    int ndir=geom.npoint-1;
-    if ((out.size()!=ndir)&&(out.size()!=ndir+1)) { 
-      std::cout <<"MdirAll out size "<< out.size()<<std::endl;
-      std::cout <<"MdirAll ndir "<< ndir<<std::endl;
-      GRID_ASSERT(0);
-    }
-    for(int p=0;p<ndir;p++){
-      MdirCalc(in,out[p],p);
-    }
-  };
-  void Mdir(const CoarseVector &in, CoarseVector &out, int dir, int disp){
-
-    this->MdirComms(in);
-
-    MdirCalc(in,out,geom.point(dir,disp));
-  };
-
-  void Mdiag(const CoarseVector &in, CoarseVector &out)
-  {
-    int point=geom.npoint-1;
-    MdirCalc(in, out, point); // No comms
-  };
-
-  void Mooee(const CoarseVector &in, CoarseVector &out) {
-    MooeeInternal(in, out, DaggerNo, InverseNo);
-  }
-
-  void MooeeInv(const CoarseVector &in, CoarseVector &out) {
-    MooeeInternal(in, out, DaggerNo, InverseYes);
-  }
-
-  void MooeeDag(const CoarseVector &in, CoarseVector &out) {
-    MooeeInternal(in, out, DaggerYes, InverseNo);
-  }
-
-  void MooeeInvDag(const CoarseVector &in, CoarseVector &out) {
-    MooeeInternal(in, out, DaggerYes, InverseYes);
-  }
-
-  void Meooe(const CoarseVector &in, CoarseVector &out) {
-    if(in.Checkerboard() == Odd) {
-      DhopEO(in, out, DaggerNo);
-    } else {
-      DhopOE(in, out, DaggerNo);
-    }
-  }
-
-  void MeooeDag(const CoarseVector &in, CoarseVector &out) {
-    if(in.Checkerboard() == Odd) {
-      DhopEO(in, out, DaggerYes);
-    } else {
-      DhopOE(in, out, DaggerYes);
-    }
-  }
-
-  void Dhop(const CoarseVector &in, CoarseVector &out, int dag) {
-    conformable(in.Grid(), _grid); // verifies full grid
-    conformable(in.Grid(), out.Grid());
-
-    out.Checkerboard() = in.Checkerboard();
-
-    DhopInternal(Stencil, A, in, out, dag);
-  }
-
-  void DhopOE(const CoarseVector &in, CoarseVector &out, int dag) {
-    conformable(in.Grid(), _cbgrid);    // verifies half grid
-    conformable(in.Grid(), out.Grid()); // drops the cb check
-
-    GRID_ASSERT(in.Checkerboard() == Even);
-    out.Checkerboard() = Odd;
-
-    DhopInternal(StencilEven, Aodd, in, out, dag);
-  }
-
-  void DhopEO(const CoarseVector &in, CoarseVector &out, int dag) {
-    conformable(in.Grid(), _cbgrid);    // verifies half grid
-    conformable(in.Grid(), out.Grid()); // drops the cb check
-
-    GRID_ASSERT(in.Checkerboard() == Odd);
-    out.Checkerboard() = Even;
-
-    DhopInternal(StencilOdd, Aeven, in, out, dag);
-  }
-
-  void MooeeInternal(const CoarseVector &in, CoarseVector &out, int dag, int inv) {
-    out.Checkerboard() = in.Checkerboard();
-    GRID_ASSERT(in.Checkerboard() == Odd || in.Checkerboard() == Even);
-
-    CoarseMatrix *Aself = nullptr;
-    if(in.Grid()->_isCheckerBoarded) {
-      if(in.Checkerboard() == Odd) {
-        Aself = (inv) ? &AselfInvOdd : &Aodd[geom.npoint-1];
-        DselfInternal(StencilOdd, *Aself, in, out, dag);
-      } else {
-        Aself = (inv) ? &AselfInvEven : &Aeven[geom.npoint-1];
-        DselfInternal(StencilEven, *Aself, in, out, dag);
-      }
-    } else {
-      Aself = (inv) ? &AselfInv : &A[geom.npoint-1];
-      DselfInternal(Stencil, *Aself, in, out, dag);
-    }
-    GRID_ASSERT(Aself != nullptr);
-  }
-
-  void DselfInternal(CartesianStencil<siteVector,siteVector,DefaultImplParams> &st, CoarseMatrix &a,
-                       const CoarseVector &in, CoarseVector &out, int dag) {
-    int point = geom.npoint-1;
-    autoView( out_v, out, AcceleratorWrite);
-    autoView( in_v,  in,  AcceleratorRead);
-    autoView( st_v,  st,  AcceleratorRead);
-    autoView( a_v,   a,   AcceleratorRead);
-
-    const int Nsimd = CComplex::Nsimd();
-    typedef decltype(coalescedRead(in_v[0])) calcVector;
-    typedef decltype(coalescedRead(in_v[0](0))) calcComplex;
-
-    RealD* dag_factor_p = &dag_factor[0];
-
-    if(dag) {
-      accelerator_for(sss, in.Grid()->oSites()*nbasis, Nsimd, {
-        int ss = sss/nbasis;
-        int b  = sss%nbasis;
-        calcComplex res = Zero();
-        calcVector nbr;
-        int ptype;
-        StencilEntry *SE;
-
-        SE=st_v.GetEntry(ptype,point,ss);
-
-        if(SE->_is_local) {
-          nbr = coalescedReadPermute(in_v[SE->_offset],ptype,SE->_permute);
-        } else {
-          nbr = coalescedRead(st_v.CommBuf()[SE->_offset]);
-        }
-        acceleratorSynchronise();
-
-        for(int bb=0;bb<nbasis;bb++) {
-          res = res + dag_factor_p[b*nbasis+bb]*coalescedRead(a_v[ss](b,bb))*nbr(bb);
-        }
-        coalescedWrite(out_v[ss](b),res);
-      });
-    } else {
-      accelerator_for(sss, in.Grid()->oSites()*nbasis, Nsimd, {
-        int ss = sss/nbasis;
-        int b  = sss%nbasis;
-        calcComplex res = Zero();
-        calcVector nbr;
-        int ptype;
-        StencilEntry *SE;
-
-        SE=st_v.GetEntry(ptype,point,ss);
-
-        if(SE->_is_local) {
-          nbr = coalescedReadPermute(in_v[SE->_offset],ptype,SE->_permute);
-        } else {
-          nbr = coalescedRead(st_v.CommBuf()[SE->_offset]);
-        }
-        acceleratorSynchronise();
-
-        for(int bb=0;bb<nbasis;bb++) {
-          res = res + coalescedRead(a_v[ss](b,bb))*nbr(bb);
-        }
-        coalescedWrite(out_v[ss](b),res);
-      });
-    }
-  }
-
-  void DhopInternal(CartesianStencil<siteVector,siteVector,DefaultImplParams> &st, std::vector<CoarseMatrix> &a,
-                    const CoarseVector &in, CoarseVector &out, int dag) {
-    SimpleCompressor<siteVector> compressor;
-
-    st.HaloExchange(in,compressor);
-    autoView( in_v,  in,  AcceleratorRead);
-    autoView( out_v, out, AcceleratorWrite);
-    autoView( st_v , st,  AcceleratorRead);
-    typedef LatticeView<Cobj> Aview;
-
-    // determine in what order we need the points
-    int npoint = geom.npoint-1;
-    deviceVector<int> points(npoint);
-    for(int p=0; p<npoint; p++) {
-      int val = (dag && !hermitian) ? geom.points_dagger[p] : p;
-      acceleratorPut(points[p], val);
-    }
-    auto points_p = &points[0];
-
-    deviceVector<Aview> AcceleratorViewContainer(geom.npoint);
-    hostVector<Aview>   hAcceleratorViewContainer(geom.npoint);
-  
-    for(int p=0;p<geom.npoint;p++) {
-      hAcceleratorViewContainer[p] = a[p].View(AcceleratorRead);
-      acceleratorPut(AcceleratorViewContainer[p],hAcceleratorViewContainer[p]);
-    }
-    Aview *Aview_p = & AcceleratorViewContainer[0];
-
-    const int Nsimd = CComplex::Nsimd();
-    typedef decltype(coalescedRead(in_v[0])) calcVector;
-    typedef decltype(coalescedRead(in_v[0](0))) calcComplex;
-
-    RealD* dag_factor_p = &dag_factor[0];
-
-    if(dag) {
-      accelerator_for(sss, in.Grid()->oSites()*nbasis, Nsimd, {
-        int ss = sss/nbasis;
-        int b  = sss%nbasis;
-        calcComplex res = Zero();
-        calcVector nbr;
-        int ptype;
-        StencilEntry *SE;
-
-        for(int p=0;p<npoint;p++){
-          int point = points_p[p];
-          SE=st_v.GetEntry(ptype,point,ss);
-
-          if(SE->_is_local) {
-            nbr = coalescedReadPermute(in_v[SE->_offset],ptype,SE->_permute);
-          } else {
-            nbr = coalescedRead(st_v.CommBuf()[SE->_offset]);
-          }
-          acceleratorSynchronise();
-
-          for(int bb=0;bb<nbasis;bb++) {
-            res = res + dag_factor_p[b*nbasis+bb]*coalescedRead(Aview_p[point][ss](b,bb))*nbr(bb);
-          }
-        }
-        coalescedWrite(out_v[ss](b),res);
-      });
-    } else {
-      accelerator_for(sss, in.Grid()->oSites()*nbasis, Nsimd, {
-        int ss = sss/nbasis;
-        int b  = sss%nbasis;
-        calcComplex res = Zero();
-        calcVector nbr;
-        int ptype;
-        StencilEntry *SE;
-
-        for(int p=0;p<npoint;p++){
-          int point = points_p[p];
-          SE=st_v.GetEntry(ptype,point,ss);
-
-          if(SE->_is_local) {
-            nbr = coalescedReadPermute(in_v[SE->_offset],ptype,SE->_permute);
-          } else {
-            nbr = coalescedRead(st_v.CommBuf()[SE->_offset]);
-          }
-          acceleratorSynchronise();
-
-          for(int bb=0;bb<nbasis;bb++) {
-            res = res + coalescedRead(Aview_p[point][ss](b,bb))*nbr(bb);
-          }
-        }
-        coalescedWrite(out_v[ss](b),res);
-      });
-    }
-
-    for(int p=0;p<npoint;p++) hAcceleratorViewContainer[p].ViewClose();
-  }
-  
-  CoarsenedMatrix(GridCartesian &CoarseGrid, int hermitian_=0) 	:
-    _grid(&CoarseGrid),
-    _cbgrid(new GridRedBlackCartesian(&CoarseGrid)),
-    geom(CoarseGrid._ndimension),
-    hermitian(hermitian_),
-    Stencil(&CoarseGrid,geom.npoint,Even,geom.directions,geom.displacements),
-    StencilEven(_cbgrid,geom.npoint,Even,geom.directions,geom.displacements),
-    StencilOdd(_cbgrid,geom.npoint,Odd,geom.directions,geom.displacements),
-    A(geom.npoint,&CoarseGrid),
-    Aeven(geom.npoint,_cbgrid),
-    Aodd(geom.npoint,_cbgrid),
-    AselfInv(&CoarseGrid),
-    AselfInvEven(_cbgrid),
-    AselfInvOdd(_cbgrid),
-    dag_factor(nbasis*nbasis)
-  {
-    fillFactor();
-  };
-
-  CoarsenedMatrix(GridCartesian &CoarseGrid, GridRedBlackCartesian &CoarseRBGrid, int hermitian_=0) 	:
-
-    _grid(&CoarseGrid),
-    _cbgrid(&CoarseRBGrid),
-    geom(CoarseGrid._ndimension),
-    hermitian(hermitian_),
-    Stencil(&CoarseGrid,geom.npoint,Even,geom.directions,geom.displacements),
-    StencilEven(&CoarseRBGrid,geom.npoint,Even,geom.directions,geom.displacements),
-    StencilOdd(&CoarseRBGrid,geom.npoint,Odd,geom.directions,geom.displacements),
-    A(geom.npoint,&CoarseGrid),
-    Aeven(geom.npoint,&CoarseRBGrid),
-    Aodd(geom.npoint,&CoarseRBGrid),
-    AselfInv(&CoarseGrid),
-    AselfInvEven(&CoarseRBGrid),
-    AselfInvOdd(&CoarseRBGrid),
-    dag_factor(nbasis*nbasis)
-  {
-    fillFactor();
-  };
-
-  void fillFactor() {
-    Eigen::MatrixXd dag_factor_eigen = Eigen::MatrixXd::Ones(nbasis, nbasis);
-    if(!hermitian) {
-      const int nb = nbasis/2;
-      dag_factor_eigen.block(0,nb,nb,nb) *= -1.0;
-      dag_factor_eigen.block(nb,0,nb,nb) *= -1.0;
-    }
-
-    // GPU readable prefactor
-    std::vector<RealD> h_dag_factor(nbasis*nbasis);
-    thread_for(i, nbasis*nbasis, {
-      int j = i/nbasis;
-      int k = i%nbasis;
-      h_dag_factor[i] = dag_factor_eigen(j, k);
-    });
-    acceleratorCopyToDevice(&h_dag_factor[0],&dag_factor[0],dag_factor.size()*sizeof(RealD));
-  }
-
-  void CoarsenOperator(GridBase *FineGrid,LinearOperatorBase<Lattice<Fobj> > &linop,
-		       Aggregation<Fobj,CComplex,nbasis> & Subspace)
-  {
-    typedef Lattice<typename Fobj::tensor_reduced> FineComplexField;
-    typedef typename Fobj::scalar_type scalar_type;
-
-    std::cout << GridLogMessage<< "CoarsenMatrix "<< std::endl;
-
-    FineComplexField one(FineGrid); one=scalar_type(1.0,0.0);
-    FineComplexField zero(FineGrid); zero=scalar_type(0.0,0.0);
-
-    std::vector<FineComplexField> masks(geom.npoint,FineGrid);
-    FineComplexField imask(FineGrid); // contributions from within this block
-    FineComplexField omask(FineGrid); // contributions from outwith this block
-
-    FineComplexField evenmask(FineGrid);
-    FineComplexField oddmask(FineGrid); 
-
-    FineField     phi(FineGrid);
-    FineField     tmp(FineGrid);
-    FineField     zz(FineGrid); zz=Zero();
-    FineField    Mphi(FineGrid);
-    FineField    Mphie(FineGrid);
-    FineField    Mphio(FineGrid);
-    std::vector<FineField>     Mphi_p(geom.npoint,FineGrid);
-
-    Lattice<iScalar<vInteger> > coor (FineGrid);
-    Lattice<iScalar<vInteger> > bcoor(FineGrid);
-    Lattice<iScalar<vInteger> > bcb  (FineGrid); bcb = Zero();
-
-    CoarseVector iProj(Grid()); 
-    CoarseVector oProj(Grid()); 
-    CoarseVector SelfProj(Grid()); 
-    CoarseComplexField iZProj(Grid()); 
-    CoarseComplexField oZProj(Grid()); 
-
-    CoarseScalar InnerProd(Grid()); 
-
-    std::cout << GridLogMessage<< "CoarsenMatrix Orthog "<< std::endl;
-    // Orthogonalise the subblocks over the basis
-    blockOrthogonalise(InnerProd,Subspace.subspace);
-
-    // Compute the matrix elements of linop between this orthonormal
-    // set of vectors.
-    std::cout << GridLogMessage<< "CoarsenMatrix masks "<< std::endl;
-    int self_stencil=-1;
-    for(int p=0;p<geom.npoint;p++)
-    { 
-      int dir   = geom.directions[p];
-      int disp  = geom.displacements[p];
-      A[p]=Zero();
-      if( geom.displacements[p]==0){
-	self_stencil=p;
-      }
-
-      Integer block=(FineGrid->_rdimensions[dir])/(Grid()->_rdimensions[dir]);
-
-      LatticeCoordinate(coor,dir);
-
-      ///////////////////////////////////////////////////////
-      // Work out even and odd block checkerboarding for fast diagonal term
-      ///////////////////////////////////////////////////////
-      if ( disp==1 ) {
-	bcb   = bcb + div(coor,block);
-      }
-	
-      if ( disp==0 ) {
-	  masks[p]= Zero();
-      } else if ( disp==1 ) {
-	masks[p] = where(mod(coor,block)==(block-1),one,zero);
-      } else if ( disp==-1 ) {
-	masks[p] = where(mod(coor,block)==(Integer)0,one,zero);
-      }
-    }
-    evenmask = where(mod(bcb,2)==(Integer)0,one,zero);
-    oddmask  = one-evenmask;
-
-    GRID_ASSERT(self_stencil!=-1);
-
-    for(int i=0;i<nbasis;i++){
-
-      phi=Subspace.subspace[i];
-
-      std::cout << GridLogMessage<< "CoarsenMatrix vector "<<i << std::endl;
-      linop.OpDirAll(phi,Mphi_p);
-      linop.OpDiag  (phi,Mphi_p[geom.npoint-1]);
-
-      for(int p=0;p<geom.npoint;p++){ 
-
-	Mphi = Mphi_p[p];
-
-	int dir   = geom.directions[p];
-	int disp  = geom.displacements[p];
-
-	if ( (disp==-1) || (!hermitian ) ) {
-
-	  ////////////////////////////////////////////////////////////////////////
-	  // Pick out contributions coming from this cell and neighbour cell
-	  ////////////////////////////////////////////////////////////////////////
-	  omask = masks[p];
-	  imask = one-omask;
-	
-	  for(int j=0;j<nbasis;j++){
-	    
-	    blockMaskedInnerProduct(oZProj,omask,Subspace.subspace[j],Mphi);
-	    
-	    autoView( iZProj_v , iZProj, AcceleratorRead) ;
-	    autoView( oZProj_v , oZProj, AcceleratorRead) ;
-	    autoView( A_p     ,  A[p], AcceleratorWrite);
-	    autoView( A_self  , A[self_stencil], AcceleratorWrite);
-
-	    accelerator_for(ss, Grid()->oSites(), Fobj::Nsimd(),{ coalescedWrite(A_p[ss](j,i),oZProj_v(ss)); });
-	    if ( hermitian && (disp==-1) ) {
-	      for(int pp=0;pp<geom.npoint;pp++){// Find the opposite link and set <j|A|i> = <i|A|j>*
-		int dirp   = geom.directions[pp];
-		int dispp  = geom.displacements[pp];
-		if ( (dirp==dir) && (dispp==1) ){
-		  auto sft = conjugate(Cshift(oZProj,dir,1));
-		  autoView( sft_v    ,  sft  , AcceleratorWrite);
-		  autoView( A_pp     ,  A[pp], AcceleratorWrite);
-		  accelerator_for(ss, Grid()->oSites(), Fobj::Nsimd(),{ coalescedWrite(A_pp[ss](i,j),sft_v(ss)); });
-		}
-	      }
-	    }
-
-	  }
-	}
-      }
-
-      ///////////////////////////////////////////
-      // Faster alternate self coupling.. use hermiticity to save 2x
-      ///////////////////////////////////////////
-      {
-	mult(tmp,phi,evenmask);  linop.Op(tmp,Mphie);
-	mult(tmp,phi,oddmask );  linop.Op(tmp,Mphio);
-
-	{
-	  autoView( tmp_      , tmp, AcceleratorWrite);
-	  autoView( evenmask_ , evenmask, AcceleratorRead);
-	  autoView( oddmask_  ,  oddmask, AcceleratorRead);
-	  autoView( Mphie_    ,  Mphie, AcceleratorRead);
-	  autoView( Mphio_    ,  Mphio, AcceleratorRead);
-	  accelerator_for(ss, FineGrid->oSites(), Fobj::Nsimd(),{ 
-	      coalescedWrite(tmp_[ss],evenmask_(ss)*Mphie_(ss) + oddmask_(ss)*Mphio_(ss));
-	    });
-	}
-
-	blockProject(SelfProj,tmp,Subspace.subspace);
-
-	autoView( SelfProj_ , SelfProj, AcceleratorRead);
-	autoView( A_self  , A[self_stencil], AcceleratorWrite);
-
-	accelerator_for(ss, Grid()->oSites(), Fobj::Nsimd(),{
-	  for(int j=0;j<nbasis;j++){
-	    coalescedWrite(A_self[ss](j,i), SelfProj_(ss)(j));
-	  }
-	});
-
-      }
-    }
-    if(hermitian) {
-      std::cout << GridLogMessage << " ForceHermitian, new code "<<std::endl;
-    }
-
-    InvertSelfStencilLink(); std::cout << GridLogMessage << "Coarse self link inverted" << std::endl;
-    FillHalfCbs(); std::cout << GridLogMessage << "Coarse half checkerboards filled" << std::endl;
-  }
-
-  void InvertSelfStencilLink() {
-    std::cout << GridLogDebug << "CoarsenedMatrix::InvertSelfStencilLink" << std::endl;
-    int localVolume = Grid()->lSites();
-
-    typedef typename Cobj::scalar_object scalar_object;
-
-    autoView(Aself_v,    A[geom.npoint-1], CpuRead);
-    autoView(AselfInv_v, AselfInv,         CpuWrite);
-    thread_for(site, localVolume, { // NOTE: Not able to bring this to GPU because of Eigen + peek/poke
-      Eigen::MatrixXcd selfLinkEigen    = Eigen::MatrixXcd::Zero(nbasis, nbasis);
-      Eigen::MatrixXcd selfLinkInvEigen = Eigen::MatrixXcd::Zero(nbasis, nbasis);
-
-      scalar_object selfLink    = Zero();
-      scalar_object selfLinkInv = Zero();
-
-      Coordinate lcoor;
-
-      Grid()->LocalIndexToLocalCoor(site, lcoor);
-      peekLocalSite(selfLink, Aself_v, lcoor);
-
-      for (int i = 0; i < nbasis; ++i)
-        for (int j = 0; j < nbasis; ++j)
-          selfLinkEigen(i, j) = static_cast<ComplexD>(TensorRemove(selfLink(i, j)));
-
-      selfLinkInvEigen = selfLinkEigen.inverse();
-
-      for(int i = 0; i < nbasis; ++i)
-        for(int j = 0; j < nbasis; ++j)
-          selfLinkInv(i, j) = selfLinkInvEigen(i, j);
-
-      pokeLocalSite(selfLinkInv, AselfInv_v, lcoor);
-    });
-  }
-
-  void FillHalfCbs() {
-    std::cout << GridLogDebug << "CoarsenedMatrix::FillHalfCbs" << std::endl;
-    for(int p = 0; p < geom.npoint; ++p) {
-      pickCheckerboard(Even, Aeven[p], A[p]);
-      pickCheckerboard(Odd, Aodd[p], A[p]);
-    }
-    pickCheckerboard(Even, AselfInvEven, AselfInv);
-    pickCheckerboard(Odd, AselfInvOdd, AselfInv);
-  }
-};
-
-NAMESPACE_END(Grid);
-#endif

Grid/algorithms/multigrid/GeneralCoarsenedMatrix.h

@@ -1,704 +0,0 @@
-/*************************************************************************************
-
-    Grid physics library, www.github.com/paboyle/Grid 
-
-    Source file: ./lib/algorithms/GeneralCoarsenedMatrix.h
-
-    Copyright (C) 2015
-
-Author: Peter Boyle <pboyle@bnl.gov>
-
-    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 */
-#pragma once
-
-#include <Grid/qcd/QCD.h> // needed for Dagger(Yes|No), Inverse(Yes|No)
-
-#include <Grid/lattice/PaddedCell.h>
-#include <Grid/stencil/GeneralLocalStencil.h>
-#include <Grid/algorithms/deflation/MultiRHSBlockProject.h>
-
-NAMESPACE_BEGIN(Grid);
-
-// Fine Object == (per site) type of fine field
-// nbasis      == number of deflation vectors
-template<class Fobj,class CComplex,int nbasis>
-class GeneralCoarsenedMatrix : public SparseMatrixBase<Lattice<iVector<CComplex,nbasis > > >  {
-public:
-
-  typedef GeneralCoarsenedMatrix<Fobj,CComplex,nbasis> GeneralCoarseOp;
-  typedef iVector<CComplex,nbasis >           siteVector;
-  typedef iMatrix<CComplex,nbasis >           siteMatrix;
-  typedef Lattice<iScalar<CComplex> >         CoarseComplexField;
-  typedef Lattice<siteVector>                 CoarseVector;
-  typedef Lattice<iMatrix<CComplex,nbasis > > CoarseMatrix;
-  typedef iMatrix<CComplex,nbasis >  Cobj;
-  typedef iVector<CComplex,nbasis >  Cvec;
-  typedef Lattice< CComplex >   CoarseScalar; // used for inner products on fine field
-  typedef Lattice<Fobj >        FineField;
-  typedef Lattice<CComplex >    FineComplexField;
-  typedef CoarseVector Field;
-  ////////////////////
-  // Data members
-  ////////////////////
-  int hermitian;
-  GridBase      *       _FineGrid; 
-  GridCartesian *       _CoarseGrid; 
-  NonLocalStencilGeometry &geom;
-  PaddedCell Cell;
-  GeneralLocalStencil Stencil;
-  
-  std::vector<CoarseMatrix> _A;
-  std::vector<CoarseMatrix> _Adag;
-  std::vector<CoarseVector> MultTemporaries;
-
-  int64_t MultCalls;
-  double  MultFlopsAccum;
-  double  MultUsecAccum;
-
-  ///////////////////////
-  // Interface
-  ///////////////////////
-  //////////////////////////////////////////////////////////////////////////
-  // Bilingual accessors: everything a consumer needs to read the operator
-  // without knowing which of the three coarse classes it holds. The D
-  // dimensional grid the elements live on, the geometry they are indexed by,
-  // and one unpadded point at a time (a whole npoint vector is too much
-  // memory at production nbasis).
-  //////////////////////////////////////////////////////////////////////////
-  GridCartesian * CoarseGridD(void)             { return _CoarseGrid; };
-  NonLocalStencilGeometry & Geometry(void)      { return geom; };
-  void ExtractMatrix(int p,CoarseMatrix &A)     { A = Cell.Extract(_A[p]); };
-
-  GridBase      * Grid(void)           { return _CoarseGrid; };   // this is all the linalg routines need to know
-  GridBase      * FineGrid(void)       { return _FineGrid; };   // this is all the linalg routines need to know
-  GridCartesian * CoarseGrid(void)     { return _CoarseGrid; };   // this is all the linalg routines need to know
-
-  /*  void ShiftMatrix(RealD shift)
-  {
-    int Nd=_FineGrid->Nd(); 
-    Coordinate zero_shift(Nd,0);
-    for(int p=0;p<geom.npoint;p++){
-      if ( zero_shift==geom.shifts[p] ) {
-	_A[p] = _A[p]+shift;
-	//	_Adag[p] = _Adag[p]+shift;
-      }
-    }    
-  }
-  void ProjectNearestNeighbour(RealD shift, GeneralCoarseOp &CopyMe)
-  {
-    int nfound=0;
-    std::cout << GridLogMessage <<"GeneralCoarsenedMatrix::ProjectNearestNeighbour "<< CopyMe._A[0].Grid()<<std::endl;
-    for(int p=0;p<geom.npoint;p++){
-      for(int pp=0;pp<CopyMe.geom.npoint;pp++){
- 	// Search for the same relative shift
-	// Avoids brutal handling of Grid pointers
-	if ( CopyMe.geom.shifts[pp]==geom.shifts[p] ) {
-	  _A[p] = CopyMe.Cell.Extract(CopyMe._A[pp]);
-	  //	  _Adag[p] = CopyMe.Cell.Extract(CopyMe._Adag[pp]);
-	  nfound++;
-	}
-      }
-    }
-    GRID_ASSERT(nfound==geom.npoint);
-    ExchangeCoarseLinks();
-  }
-  */
-  
-  GeneralCoarsenedMatrix(NonLocalStencilGeometry &_geom,GridBase *FineGrid, GridCartesian * CoarseGrid,int _herm=1)
-    : geom(_geom),
-      _FineGrid(FineGrid),
-      _CoarseGrid(CoarseGrid),
-      hermitian(_herm),
-      Cell(_geom.Depth(),_CoarseGrid),
-      Stencil(Cell.grids.back(),geom.shifts),
-      MultCalls(0), MultFlopsAccum(0.0), MultUsecAccum(0.0)
-  {
-    {
-      int npoint = _geom.npoint;
-    }
-    _A.resize(geom.npoint,CoarseGrid);
-    if ( !hermitian ) _Adag.resize(geom.npoint,CoarseGrid);
-  }
-  void M (const CoarseVector &in, CoarseVector &out)
-  {
-    Mult(_A,in,out);
-  }
-  void Mdag (const CoarseVector &in, CoarseVector &out)
-  {
-    if(hermitian)
-      Mult(_A,in,out);
-    else
-      Mult(_Adag,in,out);
-  }
-  void Mult (std::vector<CoarseMatrix> &A,const CoarseVector &in, CoarseVector &out)
-  {
-    RealD tviews=0;    RealD ttot=0;    RealD tmult=0;   RealD texch=0;    RealD text=0; RealD ttemps=0; RealD tcopy=0;
-    RealD tmult2=0;
-
-    ttot=-usecond();
-    conformable(CoarseGrid(),in.Grid());
-    conformable(in.Grid(),out.Grid());
-    out.Checkerboard() = in.Checkerboard();
-    CoarseVector tin=in;
-
-    texch-=usecond();
-    CoarseVector pin = Cell.ExchangePeriodic(tin);
-    texch+=usecond();
-
-    CoarseVector pout(pin.Grid());
-
-    int npoint = geom.npoint;
-    typedef LatticeView<Cobj> Aview;
-    typedef LatticeView<Cvec> Vview;
-      
-    const int Nsimd = CComplex::Nsimd();
-    
-    int64_t osites=pin.Grid()->oSites();
-
-    RealD flops = 1.0* npoint * nbasis * nbasis * 8.0 * osites * CComplex::Nsimd();
-    RealD bytes = 1.0*osites*sizeof(siteMatrix)*npoint
-                + 2.0*osites*sizeof(siteVector)*npoint;
-      
-    {
-      tviews-=usecond();
-      autoView( in_v , pin, AcceleratorRead);
-      autoView( out_v , pout, AcceleratorWriteDiscard);
-      autoView( Stencil_v  , Stencil, AcceleratorRead);
-      tviews+=usecond();
-
-      // Static and prereserve to keep UVM region live and not resized across multiple calls
-      ttemps-=usecond();
-      MultTemporaries.resize(npoint,pin.Grid());       
-      ttemps+=usecond();
-      std::vector<Aview> AcceleratorViewContainer_h;
-      std::vector<Vview> AcceleratorVecViewContainer_h; 
-
-      tviews-=usecond();
-      for(int p=0;p<npoint;p++) {
-	AcceleratorViewContainer_h.push_back(      A[p].View(AcceleratorRead));
-	AcceleratorVecViewContainer_h.push_back(MultTemporaries[p].View(AcceleratorWrite));
-      }
-      tviews+=usecond();
-
-      static deviceVector<Aview> AcceleratorViewContainer; AcceleratorViewContainer.resize(npoint);
-      static deviceVector<Vview> AcceleratorVecViewContainer; AcceleratorVecViewContainer.resize(npoint); 
-      
-      auto Aview_p = &AcceleratorViewContainer[0];
-      auto Vview_p = &AcceleratorVecViewContainer[0];
-      tcopy-=usecond();
-      acceleratorCopyToDevice(&AcceleratorViewContainer_h[0],&AcceleratorViewContainer[0],npoint *sizeof(Aview));
-      acceleratorCopyToDevice(&AcceleratorVecViewContainer_h[0],&AcceleratorVecViewContainer[0],npoint *sizeof(Vview));
-      tcopy+=usecond();
-
-      tmult-=usecond();
-      accelerator_for(spb, osites*nbasis*npoint, Nsimd, {
-	  typedef decltype(coalescedRead(in_v[0](0))) calcComplex;
-	  int32_t ss   = spb/(nbasis*npoint);
-	  int32_t bp   = spb%(nbasis*npoint);
-	  int32_t point= bp/nbasis;
-	  int32_t b    = bp%nbasis;
-	  auto SE  = Stencil_v.GetEntry(point,ss);
-	  auto nbr = coalescedReadGeneralPermute(in_v[SE->_offset],SE->_permute,Nd);
-	  auto res = coalescedRead(Aview_p[point][ss](0,b))*nbr(0);
-	  for(int bb=1;bb<nbasis;bb++) {
-	    res = res + coalescedRead(Aview_p[point][ss](bb,b))*nbr(bb);
-	  }
-	  coalescedWrite(Vview_p[point][ss](b),res);
-      });
-      tmult2-=usecond();
-      accelerator_for(sb, osites*nbasis, Nsimd, {
-	  int ss = sb/nbasis;
-	  int b  = sb%nbasis;
-	  auto res = coalescedRead(Vview_p[0][ss](b));
-	  for(int point=1;point<npoint;point++){
-	    res = res + coalescedRead(Vview_p[point][ss](b));
-	  }
-	  coalescedWrite(out_v[ss](b),res);
-      });
-      tmult2+=usecond();
-      tmult+=usecond();
-      for(int p=0;p<npoint;p++) {
-	AcceleratorViewContainer_h[p].ViewClose();
-	AcceleratorVecViewContainer_h[p].ViewClose();
-      }
-    }
-
-    text-=usecond();
-    out = Cell.Extract(pout);
-    text+=usecond();
-    ttot+=usecond();
-    
-    MultCalls++;
-    MultFlopsAccum += flops;
-    MultUsecAccum  += ttot;
-    std::cout << GridLogPerformance
-	      << "Coarse Mult call " << MultCalls
-	      << "  tot " << ttot << " us"
-	      << "  kernel " << tmult << " us"
-	      << "  kernel " << flops/tmult*1e-3 << " GFlop/s"
-	      << "  overall " << MultFlopsAccum/MultUsecAccum*1e-3 << " GFlop/s (cumul)"
-	      << "  bw " << bytes/tmult*1e-3 << " GB/s"
-	      << std::endl;
-
-  };
-  
-  void PopulateAdag(void)
-  {
-#if 0
-    // Serial global peek/poke reference implementation
-    for(int64_t bidx=0;bidx<CoarseGrid()->gSites() ;bidx++){
-      Coordinate bcoor;
-      CoarseGrid()->GlobalIndexToGlobalCoor(bidx,bcoor);
-
-      for(int p=0;p<geom.npoint;p++){
-	Coordinate scoor = bcoor;
-	for(int mu=0;mu<bcoor.size();mu++){
-	  int L = CoarseGrid()->GlobalDimensions()[mu];
-	  scoor[mu] = (bcoor[mu] - geom.shifts[p][mu] + L) % L; // Modulo arithmetic
-	}
-	// Flip to poke/peekLocalSite and not too bad
-	auto link = peekSite(_A[p],scoor);
-	int pp = geom.Reverse(p);
-	pokeSite(adj(link),_Adag[pp],bcoor);
-      }
-    }
-#else
-    // Parallel: _Adag[pp](x) = adj( _A[p](x + s_pp) ),  pp = Reverse(p), s_pp = -s_p.
-    // The neighbour fetch reuses the same padded-cell + stencil machinery as Mult,
-    // reading one matrix element per coalesced access so no whole site matrix
-    // (230KB at nbasis=60) ever lands on a GPU thread stack (HIP limit 128KB).
-    // Halo sites compute garbage neighbours; Cell.Extract discards them.
-    // Must run on the unpadded _A, i.e. before ExchangeCoarseLinks.
-    const int Nsimd = CComplex::Nsimd();
-    for(int p=0;p<geom.npoint;p++){
-      int pp = geom.Reverse(p);
-      CoarseMatrix Apad = Cell.ExchangePeriodic(_A[p]);
-      CoarseMatrix Dpad(Apad.Grid());
-      int64_t osites = Apad.Grid()->oSites();
-      {
-	autoView( Apad_v   , Apad, AcceleratorRead);
-	autoView( Dpad_v   , Dpad, AcceleratorWriteDiscard);
-	autoView( Stencil_v, Stencil, AcceleratorRead);
-	accelerator_for(sj, osites*nbasis, Nsimd, {
-	    int32_t ss = sj/nbasis;
-	    int32_t j  = sj%nbasis;
-	    auto SE = Stencil_v.GetEntry(pp,ss);
-	    for(int i=0;i<nbasis;i++){
-	      auto z = coalescedReadGeneralPermute(Apad_v[SE->_offset](i,j),SE->_permute,Nd);
-	      coalescedWrite(Dpad_v[ss](j,i),conjugate(z));
-	    }
-	});
-      }
-      _Adag[pp] = Cell.Extract(Dpad);
-    }
-#endif
-  }
-  /////////////////////////////////////////////////////////////
-  // 
-  // A) Only reduced flops option is to use a padded cell of depth 4
-  // and apply MpcDagMpc in the padded cell.
-  //
-  // Makes for ONE application of MpcDagMpc per vector instead of 30 or 80.
-  // With the effective cell size around (B+8)^4 perhaps 12^4/4^4 ratio
-  // Cost is 81x more, same as stencil size.
-  //
-  // But: can eliminate comms and do as local dirichlet.
-  //
-  // Local exchange gauge field once.
-  // Apply to all vectors, local only computation.
-  // Must exchange ghost subcells in reverse process of PaddedCell to take inner products
-  //
-  // B) Can reduce cost: pad by 1, apply Deo      (4^4+6^4+8^4+8^4 )/ (4x 4^4)
-  //                     pad by 2, apply Doe
-  //                     pad by 3, apply Deo
-  //                     then break out 8x directions; cost is ~10x MpcDagMpc per vector
-  //
-  // => almost factor of 10 in setup cost, excluding data rearrangement
-  //
-  // Intermediates -- ignore the corner terms, leave approximate and force Hermitian
-  // Intermediates -- pad by 2 and apply 1+8+24 = 33 times.
-  /////////////////////////////////////////////////////////////
-
-    //////////////////////////////////////////////////////////
-    // BFM HDCG style approach: Solve a system of equations to get Aij
-    //////////////////////////////////////////////////////////
-    /*
-     *     Here, k,l index which possible shift within the 3^Nd "ball" connected by MdagM.
-     *
-     *     conj(phases[block]) proj[k][ block*Nvec+j ] =  \sum_ball  e^{i q_k . delta} < phi_{block,j} | MdagM | phi_{(block+delta),i} > 
-     *                                                 =  \sum_ball e^{iqk.delta} A_ji
-     *
-     *     Must invert matrix M_k,l = e^[i q_k . delta_l]
-     *
-     *     Where q_k = delta_k . (2*M_PI/global_nb[mu])
-     */
-#if 0
-  void CoarsenOperator(LinearOperatorBase<Lattice<Fobj> > &linop,
-		       Aggregation<Fobj,CComplex,nbasis> & Subspace)
-  {
-    std::cout << GridLogMessage<< "GeneralCoarsenMatrix "<< std::endl;
-    GridBase *grid = FineGrid();
-
-    RealD tproj=0.0;
-    RealD teigen=0.0;
-    RealD tmat=0.0;
-    RealD tphase=0.0;
-    RealD tinv=0.0;
-
-    /////////////////////////////////////////////////////////////
-    // Orthogonalise the subblocks over the basis
-    /////////////////////////////////////////////////////////////
-    CoarseScalar InnerProd(CoarseGrid()); 
-    blockOrthogonalise(InnerProd,Subspace.subspace);
-
-    const int npoint = geom.npoint;
-      
-    Coordinate clatt = CoarseGrid()->GlobalDimensions();
-    int Nd = CoarseGrid()->Nd();
-
-      /*
-       *     Here, k,l index which possible momentum/shift within the N-points connected by MdagM.
-       *     Matrix index i is mapped to this shift via 
-       *               geom.shifts[i]
-       *
-       *     conj(pha[block]) proj[k (which mom)][j (basis vec cpt)][block] 
-       *       =  \sum_{l in ball}  e^{i q_k . delta_l} < phi_{block,j} | MdagM | phi_{(block+delta_l),i} > 
-       *       =  \sum_{l in ball} e^{iqk.delta_l} A_ji^{b.b+l}
-       *       = M_{kl} A_ji^{b.b+l}
-       *
-       *     Must assemble and invert matrix M_k,l = e^[i q_k . delta_l]
-       *  
-       *     Where q_k = delta_k . (2*M_PI/global_nb[mu])
-       *
-       *     Then A{ji}^{b,b+l} = M^{-1}_{lm} ComputeProj_{m,b,i,j}
-       */
-    teigen-=usecond();
-    Eigen::MatrixXcd Mkl    = Eigen::MatrixXcd::Zero(npoint,npoint);
-    Eigen::MatrixXcd invMkl = Eigen::MatrixXcd::Zero(npoint,npoint);
-    ComplexD ci(0.0,1.0);
-    for(int k=0;k<npoint;k++){ // Loop over momenta
-
-      for(int l=0;l<npoint;l++){ // Loop over nbr relative
-	ComplexD phase(0.0,0.0);
-	for(int mu=0;mu<Nd;mu++){
-	  RealD TwoPiL =  M_PI * 2.0/ clatt[mu];
-	  phase=phase+TwoPiL*geom.shifts[k][mu]*geom.shifts[l][mu];
-	}
-	phase=exp(phase*ci);
-	Mkl(k,l) = phase;
-      }
-    }
-    invMkl = Mkl.inverse();
-    teigen+=usecond();
-
-    ///////////////////////////////////////////////////////////////////////
-    // Now compute the matrix elements of linop between the orthonormal
-    // set of vectors.
-    ///////////////////////////////////////////////////////////////////////
-    FineField phaV(grid); // Phased block basis vector
-    FineField MphaV(grid);// Matrix applied
-    CoarseVector coarseInner(CoarseGrid());
-
-    std::vector<CoarseVector> ComputeProj(npoint,CoarseGrid());
-    std::vector<CoarseVector>          FT(npoint,CoarseGrid());
-    for(int i=0;i<nbasis;i++){// Loop over basis vectors
-      std::cout << GridLogMessage<< "CoarsenMatrixColoured vec "<<i<<"/"<<nbasis<< std::endl;
-      for(int p=0;p<npoint;p++){ // Loop over momenta in npoint
-	/////////////////////////////////////////////////////
-	// Stick a phase on every block
-	/////////////////////////////////////////////////////
-	tphase-=usecond();
-	CoarseComplexField coor(CoarseGrid());
-	CoarseComplexField pha(CoarseGrid());	pha=Zero();
-	for(int mu=0;mu<Nd;mu++){
-	  LatticeCoordinate(coor,mu);
-	  RealD TwoPiL =  M_PI * 2.0/ clatt[mu];
-	  pha = pha + (TwoPiL * geom.shifts[p][mu]) * coor;
-	}
-	pha  =exp(pha*ci);
-	phaV=Zero();
-	blockZAXPY(phaV,pha,Subspace.subspace[i],phaV);
-	tphase+=usecond();
-
-	/////////////////////////////////////////////////////////////////////
-	// Multiple phased subspace vector by matrix and project to subspace
-	// Remove local bulk phase to leave relative phases
-	/////////////////////////////////////////////////////////////////////
-	tmat-=usecond();
-	linop.Op(phaV,MphaV);
-	tmat+=usecond();
-
-	tproj-=usecond();
-	blockProject(coarseInner,MphaV,Subspace.subspace);
-	coarseInner = conjugate(pha) * coarseInner;
-
-	ComputeProj[p] = coarseInner;
-	tproj+=usecond();
-
-      }
-
-      tinv-=usecond();
-      for(int k=0;k<npoint;k++){
-	FT[k] = Zero();
-	for(int l=0;l<npoint;l++){
-	  FT[k]= FT[k]+ invMkl(l,k)*ComputeProj[l];
-	}
-      
-	int osites=CoarseGrid()->oSites();
-	autoView( A_v  , _A[k], AcceleratorWrite);
-	autoView( FT_v  , FT[k], AcceleratorRead);
-	accelerator_for(sss, osites, nbasis, {
-#ifdef GRID_SIMT
-	    int j = acceleratorSIMTlane(nbasis);
-	    A_v[sss](i,j) = FT_v[sss](j);
-#else
-	    // CPU build: acceleratorSIMTlane()==0 -- an un-looped SIMT tensor
-	    // index writes ONLY j=0 and silently drops the other nbasis-1
-	    // columns (caught by Test_schur_dense_coarse import certificate,
-	    // 2026-08-14).  Loop explicitly.
-	    for(int j=0;j<nbasis;j++){
-	      A_v[sss](i,j) = FT_v[sss](j);
-	    }
-#endif
-        });
-      }
-      tinv+=usecond();
-    }
-
-    // Only needed if nonhermitian
-    if ( ! hermitian ) {
-      std::cout << GridLogMessage<<"PopulateAdag  "<<std::endl;
-      PopulateAdag();
-    }
-
-    // Need to write something to populate Adag from A
-    ExchangeCoarseLinks();
-    std::cout << GridLogMessage<<"CoarsenOperator eigen  "<<teigen<<" us"<<std::endl;
-    std::cout << GridLogMessage<<"CoarsenOperator phase  "<<tphase<<" us"<<std::endl;
-    std::cout << GridLogMessage<<"CoarsenOperator mat    "<<tmat <<" us"<<std::endl;
-    std::cout << GridLogMessage<<"CoarsenOperator proj   "<<tproj<<" us"<<std::endl;
-    std::cout << GridLogMessage<<"CoarsenOperator inv    "<<tinv<<" us"<<std::endl;
-  }
-#else
-  //////////////////////////////////////////////////////////////////////
-  // Galerkin projection of matrix
-  //////////////////////////////////////////////////////////////////////
-  void CoarsenOperator(LinearOperatorBase<Lattice<Fobj> > &linop,
-		       Aggregation<Fobj,CComplex,nbasis> & Subspace)
-  {
-    CoarsenOperator(linop,Subspace,Subspace);
-  }
-  //////////////////////////////////////////////////////////////////////
-  // Petrov - Galerkin projection of matrix
-  //////////////////////////////////////////////////////////////////////
-  void CoarsenOperator(LinearOperatorBase<Lattice<Fobj> > &linop,
-		       Aggregation<Fobj,CComplex,nbasis> & U,
-		       Aggregation<Fobj,CComplex,nbasis> & V)
-  {
-    std::cout << GridLogMessage<< "GeneralCoarsenMatrix "<< std::endl;
-    GridBase *grid = FineGrid();
-
-    RealD tproj=0.0;
-    RealD teigen=0.0;
-    RealD tmat=0.0;
-    RealD tphase=0.0;
-    RealD tphaseBZ=0.0;
-    RealD tinv=0.0;
-
-    /////////////////////////////////////////////////////////////
-    // Orthogonalise the subblocks over the basis
-    /////////////////////////////////////////////////////////////
-    CoarseScalar InnerProd(CoarseGrid()); 
-    blockOrthogonalise(InnerProd,V.subspace);
-    blockOrthogonalise(InnerProd,U.subspace);
-
-    const int npoint = geom.npoint;
-      
-    Coordinate clatt = CoarseGrid()->GlobalDimensions();
-    int Nd = CoarseGrid()->Nd();
-
-      /*
-       *     Here, k,l index which possible momentum/shift within the N-points connected by MdagM.
-       *     Matrix index i is mapped to this shift via 
-       *               geom.shifts[i]
-       *
-       *     conj(pha[block]) proj[k (which mom)][j (basis vec cpt)][block] 
-       *       =  \sum_{l in ball}  e^{i q_k . delta_l} < phi_{block,j} | MdagM | phi_{(block+delta_l),i} > 
-       *       =  \sum_{l in ball} e^{iqk.delta_l} A_ji^{b.b+l}
-       *       = M_{kl} A_ji^{b.b+l}
-       *
-       *     Must assemble and invert matrix M_k,l = e^[i q_k . delta_l]
-       *  
-       *     Where q_k = delta_k . (2*M_PI/global_nb[mu])
-       *
-       *     Then A{ji}^{b,b+l} = M^{-1}_{lm} ComputeProj_{m,b,i,j}
-       */
-    teigen-=usecond();
-    Eigen::MatrixXcd Mkl    = Eigen::MatrixXcd::Zero(npoint,npoint);
-    Eigen::MatrixXcd invMkl = Eigen::MatrixXcd::Zero(npoint,npoint);
-    ComplexD ci(0.0,1.0);
-    for(int k=0;k<npoint;k++){ // Loop over momenta
-
-      for(int l=0;l<npoint;l++){ // Loop over nbr relative
-	ComplexD phase(0.0,0.0);
-	for(int mu=0;mu<Nd;mu++){
-	  RealD TwoPiL =  M_PI * 2.0/ clatt[mu];
-	  phase=phase+TwoPiL*geom.shifts[k][mu]*geom.shifts[l][mu];
-	}
-	phase=exp(phase*ci);
-	Mkl(k,l) = phase;
-      }
-    }
-    invMkl = Mkl.inverse();
-    teigen+=usecond();
-
-    ///////////////////////////////////////////////////////////////////////
-    // Now compute the matrix elements of linop between the orthonormal
-    // set of vectors.
-    ///////////////////////////////////////////////////////////////////////
-    std::vector<FineComplexField> phaF(npoint,grid);
-    std::vector<CoarseComplexField> pha(npoint,CoarseGrid());
-
-    typedef typename CComplex::scalar_type SComplex;
-    FineComplexField one(grid); one=SComplex(1.0);
-    FineComplexField zz(grid); zz = Zero();
-    tphase=-usecond();
-    for(int p=0;p<npoint;p++){ // Loop over momenta in npoint
-      /////////////////////////////////////////////////////
-      // Stick a phase on every block
-      /////////////////////////////////////////////////////
-      CoarseComplexField coor(CoarseGrid());
-      pha[p]=Zero();
-      for(int mu=0;mu<Nd;mu++){
-	LatticeCoordinate(coor,mu);
-	RealD TwoPiL =  M_PI * 2.0/ clatt[mu];
-	pha[p] = pha[p] + (TwoPiL * geom.shifts[p][mu]) * coor;
-      }
-      pha[p]  =exp(pha[p]*ci);
-
-      blockZAXPY(phaF[p],pha[p],one,zz);
-
-    }
-    tphase+=usecond();
-
-    // Import basis into BLAS layout once; blockProject then reads it once per
-    // basis vector rather than once per (i,p) as in scalar blockProject.
-    // Process all npoint in a single batch.
-    MultiRHSBlockProject<FineField> Projector;
-    Projector.Allocate(nbasis, grid, CoarseGrid());
-    Projector.ImportBasis(U.subspace);
-
-    std::vector<FineField>    phaV_batch(npoint, grid);
-    std::vector<FineField>    MphaV_batch(npoint, grid);
-    std::vector<CoarseVector> proj_batch(npoint, CoarseGrid());
-    std::vector<CoarseVector> ComputeProj(npoint, CoarseGrid());
-    std::vector<CoarseVector>          FT(npoint, CoarseGrid());
-
-    // Pre-allocate BLAS_F and BLAS_C to avoid repeated hipMalloc/hipFree of
-    // ~5.6 GB per blockProject call, which hangs on ROCm for large allocations.
-    Projector.BLAS_F.resize(Projector.fine_vol * Projector.words * npoint);
-    Projector.BLAS_C.resize(Projector.coarse_vol * nbasis * npoint);
-
-    for(int i=0;i<nbasis;i++){// Loop over basis vectors
-      accelerator_barrier(); // ensure prior iteration's async writes are retired
-      std::cout << GridLogMessage<< "CoarsenMatrixColoured vec "<<i<<"/"<<nbasis<< std::endl;
-
-      tphaseBZ-=usecond();
-      for(int p=0;p<npoint;p++)
-	phaV_batch[p] = phaF[p] * V.subspace[i];
-      tphaseBZ+=usecond();
-      std::cout << GridLogMessage<< "CoarsenMatrixColoured vec "<<i<<" phaseBZ done"<< std::endl;
-
-      tmat-=usecond();
-      for(int p=0;p<npoint;p++)
-	linop.Op(phaV_batch[p], MphaV_batch[p]);
-      tmat+=usecond();
-      std::cout << GridLogMessage<< "CoarsenMatrixColoured vec "<<i<<" mat done"<< std::endl;
-
-      // One batched GEMM reads BLAS_V once for all npoint vectors.
-      tproj-=usecond();
-      Projector.blockProject(MphaV_batch, proj_batch);
-      std::cout << GridLogMessage<< "CoarsenMatrixColoured vec "<<i<<" blockProject done"<< std::endl;
-      for(int p=0;p<npoint;p++)
-	ComputeProj[p] = conjugate(pha[p]) * proj_batch[p];
-      tproj+=usecond();
-      std::cout << GridLogMessage<< "CoarsenMatrixColoured vec "<<i<<" proj done"<< std::endl;
-
-      tinv-=usecond();
-      for(int k=0;k<npoint;k++){
-	FT[k] = Zero();
-	for(int l=0;l<npoint;l++){
-	  FT[k]= FT[k]+ invMkl(l,k)*ComputeProj[l];
-	}
-
-	int osites=CoarseGrid()->oSites();
-	autoView( A_v  , _A[k], AcceleratorWrite);
-	autoView( FT_v  , FT[k], AcceleratorRead);
-	accelerator_for(sss, osites, nbasis, {
-#ifdef GRID_SIMT
-	    int j = acceleratorSIMTlane(nbasis);
-	    A_v[sss](i,j) = FT_v[sss](j);
-#else
-	    // CPU build: acceleratorSIMTlane()==0 -- an un-looped SIMT tensor
-	    // index writes ONLY j=0 and silently drops the other nbasis-1
-	    // columns (caught by Test_schur_dense_coarse import certificate,
-	    // 2026-08-14).  Loop explicitly.
-	    for(int j=0;j<nbasis;j++){
-	      A_v[sss](i,j) = FT_v[sss](j);
-	    }
-#endif
-        });
-      }
-      tinv+=usecond();
-    }
-
-    // Only needed if nonhermitian
-    if ( ! hermitian ) {
-      std::cout << GridLogMessage<<"PopulateAdag  "<<std::endl;
-      PopulateAdag();
-    }
-
-    //    for(int p=0;p<geom.npoint;p++){
-    //      std::cout << " _A["<<p<<"] "<<norm2(_A[p])<<std::endl;
-    //    }
-
-    // Need to write something to populate Adag from A
-    ExchangeCoarseLinks();
-    std::cout << GridLogMessage<<"CoarsenOperator eigen  "<<teigen<<" us"<<std::endl;
-    std::cout << GridLogMessage<<"CoarsenOperator phase  "<<tphase<<" us"<<std::endl;
-    std::cout << GridLogMessage<<"CoarsenOperator phaseBZ "<<tphaseBZ<<" us"<<std::endl;
-    std::cout << GridLogMessage<<"CoarsenOperator mat    "<<tmat <<" us"<<std::endl;
-    std::cout << GridLogMessage<<"CoarsenOperator proj   "<<tproj<<" us"<<std::endl;
-    std::cout << GridLogMessage<<"CoarsenOperator inv    "<<tinv<<" us"<<std::endl;
-  }
-#endif  
-  void ExchangeCoarseLinks(void){
-    for(int p=0;p<geom.npoint;p++){
-      _A[p] = Cell.ExchangePeriodic(_A[p]);
-      if ( !hermitian ) _Adag[p]= Cell.ExchangePeriodic(_Adag[p]);
-    }
-  }
-  virtual  void Mdiag    (const Field &in, Field &out){ GRID_ASSERT(0);};
-  virtual  void Mdir     (const Field &in, Field &out,int dir, int disp){assert(0);};
-  virtual  void MdirAll  (const Field &in, std::vector<Field> &out){assert(0);};
-};
-
-
-  
-NAMESPACE_END(Grid);

Grid/algorithms/multigrid/GeneralCoarsenedMatrixMultiRHS.h

@@ -1,738 +0,0 @@
-/*************************************************************************************
-
-    Grid physics library, www.github.com/paboyle/Grid 
-
-    Source file: ./lib/algorithms/GeneralCoarsenedMatrixMultiRHS.h
-
-    Copyright (C) 2015
-
-Author: Peter Boyle <pboyle@bnl.gov>
-
-    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 */
-#pragma once
-
-
-NAMESPACE_BEGIN(Grid);
-
-
-// Fine Object == (per site) type of fine field
-// nbasis      == number of deflation vectors
-template<class Fobj,class CComplex,int nbasis>
-class MultiGeneralCoarsenedMatrix : public SparseMatrixBase<Lattice<iVector<CComplex,nbasis > > >  {
-public:
-  typedef typename CComplex::scalar_object SComplex;
-  typedef GeneralCoarsenedMatrix<Fobj,CComplex,nbasis> GeneralCoarseOp;
-  typedef MultiGeneralCoarsenedMatrix<Fobj,CComplex,nbasis> MultiGeneralCoarseOp;
-
-  typedef iVector<CComplex,nbasis >           siteVector;
-  typedef iMatrix<CComplex,nbasis >           siteMatrix;
-  typedef iVector<SComplex,nbasis >           calcVector;
-  typedef iMatrix<SComplex,nbasis >           calcMatrix;
-  typedef Lattice<iScalar<CComplex> >         CoarseComplexField;
-  typedef Lattice<siteVector>                 CoarseVector;
-  typedef Lattice<iMatrix<CComplex,nbasis > > CoarseMatrix;
-  typedef iMatrix<CComplex,nbasis >  Cobj;
-  typedef iVector<CComplex,nbasis >  Cvec;
-  typedef Lattice< CComplex >   CoarseScalar; // used for inner products on fine field
-  typedef Lattice<Fobj >        FineField;
-  typedef Lattice<CComplex >    FineComplexField;
-  typedef CoarseVector Field;
-
-  ////////////////////
-  // Data members
-  ////////////////////
-  GridCartesian *       _CoarseGridMulti; 
-  NonLocalStencilGeometry geom;
-  NonLocalStencilGeometry geom_srhs;
-  PaddedCell Cell;
-  GeneralLocalStencil Stencil;
-
-  deviceVector<calcVector> BLAS_B;
-  deviceVector<calcVector> BLAS_C;
-  std::vector<deviceVector<calcMatrix> > BLAS_A;
-
-  std::vector<deviceVector<ComplexD *> > BLAS_AP;
-  std::vector<deviceVector<ComplexD *> > BLAS_BP;
-  deviceVector<ComplexD *>               BLAS_CP;
-
-  ///////////////////////
-  // Interface
-  ///////////////////////
-  GridBase      * Grid(void)           { return _CoarseGridMulti; };   // this is all the linalg routines need to know
-  GridCartesian * CoarseGrid(void)     { return _CoarseGridMulti; };   // this is all the linalg routines need to know
-
-  //////////////////////////////////////////////////////////////////////////
-  // Bilingual accessors, matching GeneralCoarsenedMatrix. Grid() here is the
-  // D+1 multiRHS grid and this class never holds the D dimensional one, so
-  // ExtractMatrix writes into whatever grid the caller's lattice is on.
-  //////////////////////////////////////////////////////////////////////////
-  NonLocalStencilGeometry & Geometry(void)      { return geom_srhs; };
-  void ExtractMatrix(int p,CoarseMatrix &A)     { BLAStoGrid(A,BLAS_A[p]); };
-
-  // I/O on the operator matrices, via the BLAS layout array. The parameter is
-  // a vector over the geometry points; the body indexes A[p].
-  void SetMatrix (int p,std::vector<CoarseMatrix> & A)
-  {
-    GRID_ASSERT(A.size()==geom_srhs.npoint);
-    GridtoBLAS(A[p],BLAS_A[p]);
-  }
-  void GetMatrix (int p,std::vector<CoarseMatrix> & A)
-  {
-    GRID_ASSERT(A.size()==geom_srhs.npoint);
-    BLAStoGrid(A[p],BLAS_A[p]);
-  }
-  void CopyMatrix (GeneralCoarseOp &_Op)
-  {
-    for(int p=0;p<geom.npoint;p++){
-      auto Aup = _Op.Cell.Extract(_Op._A[p]);
-      //Unpadded
-      GridtoBLAS(Aup,BLAS_A[p]);
-    }
-  }
-  /*
-  void CheckMatrix (GeneralCoarseOp &_Op)
-  {
-    std::cout <<"************* Checking the little direc operator mRHS"<<std::endl;
-    for(int p=0;p<geom.npoint;p++){
-      //Unpadded
-      auto Aup = _Op.Cell.Extract(_Op._A[p]);
-      auto Ack = Aup;
-      BLAStoGrid(Ack,BLAS_A[p]);
-      std::cout << p<<" Ack "<<norm2(Ack)<<std::endl;
-      std::cout << p<<" Aup "<<norm2(Aup)<<std::endl;
-    }
-    std::cout <<"************* "<<std::endl;
-  }
-  */
-  
-  MultiGeneralCoarsenedMatrix(NonLocalStencilGeometry &_geom,GridCartesian *CoarseGridMulti) :
-    _CoarseGridMulti(CoarseGridMulti),
-    geom_srhs(_geom),
-    geom(_CoarseGridMulti,_geom.hops,_geom.skip+1),
-    Cell(geom.Depth(),_CoarseGridMulti),
-    Stencil(Cell.grids.back(),geom.shifts) // padded cell stencil
-  {
-    int32_t padded_sites   = Cell.grids.back()->lSites();
-    int32_t unpadded_sites = CoarseGridMulti->lSites();
-    
-    int32_t nrhs  = CoarseGridMulti->FullDimensions()[0];  // # RHS
-    int32_t orhs  = nrhs/CComplex::Nsimd();
-
-    padded_sites   = padded_sites/nrhs;
-    unpadded_sites = unpadded_sites/nrhs;
-    
-    /////////////////////////////////////////////////
-    // Device data vector storage
-    /////////////////////////////////////////////////
-    BLAS_A.resize(geom.npoint);
-    for(int p=0;p<geom.npoint;p++){
-      BLAS_A[p].resize (unpadded_sites); // no ghost zone, npoint elements
-    }
-    
-    BLAS_B.resize(nrhs *padded_sites);   // includes ghost zone
-    BLAS_C.resize(nrhs *unpadded_sites); // no ghost zone
-    BLAS_AP.resize(geom.npoint);
-    BLAS_BP.resize(geom.npoint);
-    for(int p=0;p<geom.npoint;p++){
-      BLAS_AP[p].resize(unpadded_sites);
-      BLAS_BP[p].resize(unpadded_sites);
-    }
-    BLAS_CP.resize(unpadded_sites);
-
-    /////////////////////////////////////////////////
-    // Pointers to data
-    /////////////////////////////////////////////////
-
-    // Site identity mapping for A
-    for(int p=0;p<geom.npoint;p++){
-      for(int ss=0;ss<unpadded_sites;ss++){
-	ComplexD *ptr = (ComplexD *)&BLAS_A[p][ss];
-	acceleratorPut(BLAS_AP[p][ss],ptr);
-      }
-    }
-    // Site identity mapping for C
-    for(int ss=0;ss<unpadded_sites;ss++){
-      ComplexD *ptr = (ComplexD *)&BLAS_C[ss*nrhs];
-      acceleratorPut(BLAS_CP[ss],ptr);
-    }
-
-    // Neighbour table is more complicated
-    int32_t j=0; // Interior point counter (unpadded)
-    for(int32_t s=0;s<padded_sites;s++){ // 4 volume, padded
-      int ghost_zone=0;
-      for(int32_t point = 0 ; point < geom.npoint; point++){
-	int i=s*orhs*geom.npoint+point;
-	if( Stencil._entries[i]._wrap ) { // stencil is indexed by the oSite of the CoarseGridMulti, hence orhs factor
-	  ghost_zone=1; // If general stencil wrapped in any direction, wrap=1
-	}
-      }
-
-      if( ghost_zone==0) {
-	for(int32_t point = 0 ; point < geom.npoint; point++){
-	  int i=s*orhs*geom.npoint+point;
- 	  int32_t nbr = Stencil._entries[i]._offset*CComplex::Nsimd(); // oSite -> lSite
-	  GRID_ASSERT(nbr<BLAS_B.size());
-	  ComplexD * ptr = (ComplexD *)&BLAS_B[nbr];
-	  acceleratorPut(BLAS_BP[point][j],ptr); // neighbour indexing in ghost zone volume
-	}
-	j++;
-      }
-    }
-    GRID_ASSERT(j==unpadded_sites);
-  }
-  template<class vobj> void GridtoBLAS(const Lattice<vobj> &from,deviceVector<typename vobj::scalar_object> &to)
-  {
-  typedef typename vobj::scalar_object sobj;
-  typedef typename vobj::scalar_type scalar_type;
-  typedef typename vobj::vector_type vector_type;
-
-  GridBase *Fg = from.Grid();
-  GRID_ASSERT(!Fg->_isCheckerBoarded);
-  int nd = Fg->_ndimension;
-
-  to.resize(Fg->lSites());
-
-  Coordinate LocalLatt = Fg->LocalDimensions();
-  size_t nsite = 1;
-  for(int i=0;i<nd;i++) nsite *= LocalLatt[i];
-
-  ////////////////////////////////////////////////////////////////////////////////////////////////
-  // do the index calc on the GPU
-  ////////////////////////////////////////////////////////////////////////////////////////////////
-  Coordinate f_ostride = Fg->_ostride;
-  Coordinate f_istride = Fg->_istride;
-  Coordinate f_rdimensions = Fg->_rdimensions;
-
-  autoView(from_v,from,AcceleratorRead);
-  auto to_v = &to[0];
-
-  const int words=sizeof(vobj)/sizeof(vector_type);
-  accelerator_for(idx,nsite,1,{
-      
-      Coordinate from_coor, base;
-      Lexicographic::CoorFromIndex(base,idx,LocalLatt);
-      for(int i=0;i<nd;i++){
-	from_coor[i] = base[i];
-      }
-      int from_oidx = 0; for(int d=0;d<nd;d++) from_oidx+=f_ostride[d]*(from_coor[d]%f_rdimensions[d]);
-      int from_lane = 0; for(int d=0;d<nd;d++) from_lane+=f_istride[d]*(from_coor[d]/f_rdimensions[d]);
-
-      const vector_type* from = (const vector_type *)&from_v[from_oidx];
-      scalar_type* to = (scalar_type *)&to_v[idx];
-      
-      scalar_type stmp;
-      for(int w=0;w<words;w++){
-	stmp = getlane(from[w], from_lane);
-	to[w] = stmp;
-      }
-    });
-  }    
-  template<class vobj> void BLAStoGrid(Lattice<vobj> &grid,deviceVector<typename vobj::scalar_object> &in)
-  {
-  typedef typename vobj::scalar_object sobj;
-  typedef typename vobj::scalar_type scalar_type;
-  typedef typename vobj::vector_type vector_type;
-
-  GridBase *Tg = grid.Grid();
-  GRID_ASSERT(!Tg->_isCheckerBoarded);
-  int nd = Tg->_ndimension;
-  
-  GRID_ASSERT(in.size()==Tg->lSites());
-
-  Coordinate LocalLatt = Tg->LocalDimensions();
-  size_t nsite = 1;
-  for(int i=0;i<nd;i++) nsite *= LocalLatt[i];
-
-  ////////////////////////////////////////////////////////////////////////////////////////////////
-  // do the index calc on the GPU
-  ////////////////////////////////////////////////////////////////////////////////////////////////
-  Coordinate t_ostride = Tg->_ostride;
-  Coordinate t_istride = Tg->_istride;
-  Coordinate t_rdimensions = Tg->_rdimensions;
-
-  autoView(to_v,grid,AcceleratorWrite);
-  auto from_v = &in[0];
-
-  const int words=sizeof(vobj)/sizeof(vector_type);
-  accelerator_for(idx,nsite,1,{
-      
-      Coordinate to_coor, base;
-      Lexicographic::CoorFromIndex(base,idx,LocalLatt);
-      for(int i=0;i<nd;i++){
-	to_coor[i] = base[i];
-      }
-      int to_oidx = 0; for(int d=0;d<nd;d++) to_oidx+=t_ostride[d]*(to_coor[d]%t_rdimensions[d]);
-      int to_lane = 0; for(int d=0;d<nd;d++) to_lane+=t_istride[d]*(to_coor[d]/t_rdimensions[d]);
-
-      vector_type* to = (vector_type *)&to_v[to_oidx];
-      scalar_type* from = (scalar_type *)&from_v[idx];
-      
-      scalar_type stmp;
-      for(int w=0;w<words;w++){
-	stmp=from[w];
-	putlane(to[w], stmp, to_lane);
-      }
-    });
-  }
-  void CoarsenOperator(LinearOperatorBase<Lattice<Fobj> > &linop,
-		       Aggregation<Fobj,CComplex,nbasis> & Subspace,
-		       GridBase *CoarseGrid)
-  {
-#if 0
-    std::cout << GridLogMessage<< "GeneralCoarsenMatrixMrhs "<< std::endl;
-
-    GridBase *grid = Subspace.FineGrid;
-
-    /////////////////////////////////////////////////////////////
-    // Orthogonalise the subblocks over the basis
-    /////////////////////////////////////////////////////////////
-    CoarseScalar InnerProd(CoarseGrid); 
-    blockOrthogonalise(InnerProd,Subspace.subspace);
-
-    const int npoint = geom_srhs.npoint;
-
-    Coordinate clatt = CoarseGrid->GlobalDimensions();
-    int Nd = CoarseGrid->Nd();
-      /*
-       *     Here, k,l index which possible momentum/shift within the N-points connected by MdagM.
-       *     Matrix index i is mapped to this shift via 
-       *               geom.shifts[i]
-       *
-       *     conj(pha[block]) proj[k (which mom)][j (basis vec cpt)][block] 
-       *       =  \sum_{l in ball}  e^{i q_k . delta_l} < phi_{block,j} | MdagM | phi_{(block+delta_l),i} > 
-       *       =  \sum_{l in ball} e^{iqk.delta_l} A_ji^{b.b+l}
-       *       = M_{kl} A_ji^{b.b+l}
-       *
-       *     Must assemble and invert matrix M_k,l = e^[i q_k . delta_l]
-       *  
-       *     Where q_k = delta_k . (2*M_PI/global_nb[mu])
-       *
-       *     Then A{ji}^{b,b+l} = M^{-1}_{lm} ComputeProj_{m,b,i,j}
-       */
-    Eigen::MatrixXcd Mkl    = Eigen::MatrixXcd::Zero(npoint,npoint);
-    Eigen::MatrixXcd invMkl = Eigen::MatrixXcd::Zero(npoint,npoint);
-    ComplexD ci(0.0,1.0);
-    for(int k=0;k<npoint;k++){ // Loop over momenta
-
-      for(int l=0;l<npoint;l++){ // Loop over nbr relative
-	ComplexD phase(0.0,0.0);
-	for(int mu=0;mu<Nd;mu++){
-	  RealD TwoPiL =  M_PI * 2.0/ clatt[mu];
-	  phase=phase+TwoPiL*geom_srhs.shifts[k][mu]*geom_srhs.shifts[l][mu];
-	}
-	phase=exp(phase*ci);
-	Mkl(k,l) = phase;
-      }
-    }
-    invMkl = Mkl.inverse();
-
-    ///////////////////////////////////////////////////////////////////////
-    // Now compute the matrix elements of linop between the orthonormal
-    // set of vectors.
-    ///////////////////////////////////////////////////////////////////////
-    FineField phaV(grid); // Phased block basis vector
-    FineField MphaV(grid);// Matrix applied
-    std::vector<FineComplexField> phaF(npoint,grid);
-    std::vector<CoarseComplexField> pha(npoint,CoarseGrid);
-    
-    CoarseVector coarseInner(CoarseGrid);
-    
-    typedef typename CComplex::scalar_type SComplex;
-    FineComplexField one(grid); one=SComplex(1.0);
-    FineComplexField zz(grid); zz = Zero();
-    for(int p=0;p<npoint;p++){ // Loop over momenta in npoint
-      /////////////////////////////////////////////////////
-      // Stick a phase on every block
-      /////////////////////////////////////////////////////
-      CoarseComplexField coor(CoarseGrid);
-      pha[p]=Zero();
-      for(int mu=0;mu<Nd;mu++){
-	LatticeCoordinate(coor,mu);
-	RealD TwoPiL =  M_PI * 2.0/ clatt[mu];
-	pha[p] = pha[p] + (TwoPiL * geom_srhs.shifts[p][mu]) * coor;
-      }
-      pha[p]  =exp(pha[p]*ci);	
-
-      blockZAXPY(phaF[p],pha[p],one,zz);
-    }
-
-    // Could save on temporary storage here
-    std::vector<CoarseMatrix> _A;
-    _A.resize(geom_srhs.npoint,CoarseGrid);
-
-    std::vector<CoarseVector> ComputeProj(npoint,CoarseGrid);
-    CoarseVector          FT(CoarseGrid);
-    for(int i=0;i<nbasis;i++){// Loop over basis vectors
-      std::cout << GridLogMessage<< "CoarsenMatrixColoured vec "<<i<<"/"<<nbasis<< std::endl;
-      for(int p=0;p<npoint;p++){ // Loop over momenta in npoint
-
-	phaV = phaF[p]*Subspace.subspace[i];
-
-	/////////////////////////////////////////////////////////////////////
-	// Multiple phased subspace vector by matrix and project to subspace
-	// Remove local bulk phase to leave relative phases
-	/////////////////////////////////////////////////////////////////////
-	linop.Op(phaV,MphaV);
-
-	// Fixme, could use batched block projector here
-	blockProject(coarseInner,MphaV,Subspace.subspace);
-
-	coarseInner = conjugate(pha[p]) * coarseInner;
-
-	ComputeProj[p] = coarseInner;
-      }
-
-      // Could do this with a block promote or similar BLAS call via the MultiRHSBlockProjector with a const matrix.
-      for(int k=0;k<npoint;k++){
-
-	FT = Zero();
-	for(int l=0;l<npoint;l++){
-	  FT= FT+ invMkl(l,k)*ComputeProj[l];
-	}
-      
-	int osites=CoarseGrid->oSites();
-	autoView( A_v  , _A[k], AcceleratorWrite);
-	autoView( FT_v  , FT, AcceleratorRead);
-	accelerator_for(sss, osites, 1, {
-	    for(int j=0;j<nbasis;j++){
-	      A_v[sss](i,j) = FT_v[sss](j);
-	    }
-        });
-      }
-    }
-
-    // Only needed if nonhermitian
-    //    if ( ! hermitian ) {
-    //      std::cout << GridLogMessage<<"PopulateAdag  "<<std::endl;
-    //      PopulateAdag();
-    //    }
-    // Need to write something to populate Adag from A
-
-    for(int p=0;p<geom_srhs.npoint;p++){
-      GridtoBLAS(_A[p],BLAS_A[p]);
-    }
-    /*
-Grid : Message : 11698.730546 s : CoarsenOperator eigen  1334 us
-Grid : Message : 11698.730563 s : CoarsenOperator phase  34729 us
-Grid : Message : 11698.730565 s : CoarsenOperator phaseBZ 2423814 us
-Grid : Message : 11698.730566 s : CoarsenOperator mat    127890998 us
-Grid : Message : 11698.730567 s : CoarsenOperator proj   515840840 us
-Grid : Message : 11698.730568 s : CoarsenOperator inv    103948313 us
-Takes 600s to compute matrix elements, DOMINATED by the block project.
-Easy to speed up with the batched block project.
-Store npoint vectors, get npoint x Nbasis block projection, and 81 fold faster.
-
-// Block project below taks to 240s
-Grid : Message : 328.193418 s : CoarsenOperator phase      38338 us
-Grid : Message : 328.193434 s : CoarsenOperator phaseBZ  1711226 us
-Grid : Message : 328.193436 s : CoarsenOperator mat    122213270 us
-//Grid : Message : 328.193438 s : CoarsenOperator proj   1181154 us <-- this is mistimed
-//Grid : Message : 11698.730568 s : CoarsenOperator inv  103948313 us <-- Cut this ~10x if lucky by loop fusion
-     */
-#else
-    RealD tproj=0.0;
-    RealD tmat=0.0;
-    RealD tphase=0.0;
-    RealD tphaseBZ=0.0;
-    RealD tinv=0.0;
-
-    std::cout << GridLogMessage<< "GeneralCoarsenMatrixMrhs "<< std::endl;
-
-    GridBase *grid = Subspace.FineGrid;
-
-    /////////////////////////////////////////////////////////////
-    // Orthogonalise the subblocks over the basis
-    /////////////////////////////////////////////////////////////
-    CoarseScalar InnerProd(CoarseGrid); 
-    blockOrthogonalise(InnerProd,Subspace.subspace);
-
-
-    MultiRHSBlockProject<Lattice<Fobj> >    Projector;
-    Projector.Allocate(nbasis,grid,CoarseGrid);
-    Projector.ImportBasis(Subspace.subspace);
-    
-    const int npoint = geom_srhs.npoint;
-
-    Coordinate clatt = CoarseGrid->GlobalDimensions();
-    int Nd = CoarseGrid->Nd();
-      /*
-       *     Here, k,l index which possible momentum/shift within the N-points connected by MdagM.
-       *     Matrix index i is mapped to this shift via 
-       *               geom.shifts[i]
-       *
-       *     conj(pha[block]) proj[k (which mom)][j (basis vec cpt)][block] 
-       *       =  \sum_{l in ball}  e^{i q_k . delta_l} < phi_{block,j} | MdagM | phi_{(block+delta_l),i} > 
-       *       =  \sum_{l in ball} e^{iqk.delta_l} A_ji^{b.b+l}
-       *       = M_{kl} A_ji^{b.b+l}
-       *
-       *     Must assemble and invert matrix M_k,l = e^[i q_k . delta_l]
-       *  
-       *     Where q_k = delta_k . (2*M_PI/global_nb[mu])
-       *
-       *     Then A{ji}^{b,b+l} = M^{-1}_{lm} ComputeProj_{m,b,i,j}
-       */
-    Eigen::MatrixXcd Mkl    = Eigen::MatrixXcd::Zero(npoint,npoint);
-    Eigen::MatrixXcd invMkl = Eigen::MatrixXcd::Zero(npoint,npoint);
-    ComplexD ci(0.0,1.0);
-    for(int k=0;k<npoint;k++){ // Loop over momenta
-
-      for(int l=0;l<npoint;l++){ // Loop over nbr relative
-	ComplexD phase(0.0,0.0);
-	for(int mu=0;mu<Nd;mu++){
-	  RealD TwoPiL =  M_PI * 2.0/ clatt[mu];
-	  phase=phase+TwoPiL*geom_srhs.shifts[k][mu]*geom_srhs.shifts[l][mu];
-	}
-	phase=exp(phase*ci);
-	Mkl(k,l) = phase;
-      }
-    }
-    invMkl = Mkl.inverse();
-
-    ///////////////////////////////////////////////////////////////////////
-    // Now compute the matrix elements of linop between the orthonormal
-    // set of vectors.
-    ///////////////////////////////////////////////////////////////////////
-    FineField phaV(grid); // Phased block basis vector
-    FineField MphaV(grid);// Matrix applied
-    std::vector<FineComplexField> phaF(npoint,grid);
-    std::vector<CoarseComplexField> pha(npoint,CoarseGrid);
-    
-    CoarseVector coarseInner(CoarseGrid);
-    
-    tphase=-usecond();
-    typedef typename CComplex::scalar_type SComplex;
-    FineComplexField one(grid); one=SComplex(1.0);
-    FineComplexField zz(grid); zz = Zero();
-    for(int p=0;p<npoint;p++){ // Loop over momenta in npoint
-      /////////////////////////////////////////////////////
-      // Stick a phase on every block
-      /////////////////////////////////////////////////////
-      CoarseComplexField coor(CoarseGrid);
-      pha[p]=Zero();
-      for(int mu=0;mu<Nd;mu++){
-	LatticeCoordinate(coor,mu);
-	RealD TwoPiL =  M_PI * 2.0/ clatt[mu];
-	pha[p] = pha[p] + (TwoPiL * geom_srhs.shifts[p][mu]) * coor;
-      }
-      pha[p]  =exp(pha[p]*ci);	
-
-      blockZAXPY(phaF[p],pha[p],one,zz);
-    }
-    tphase+=usecond();
-
-    // Could save on temporary storage here
-    std::vector<CoarseMatrix> _A;
-    _A.resize(geom_srhs.npoint,CoarseGrid);
-
-    // Count use small chunks than npoint == 81 and save memory
-    int batch = 9;
-    std::vector<FineField>    _MphaV(batch,grid);
-    std::vector<CoarseVector> TmpProj(batch,CoarseGrid);
-
-    std::vector<CoarseVector> ComputeProj(npoint,CoarseGrid);
-    CoarseVector          FT(CoarseGrid);
-    for(int i=0;i<nbasis;i++){// Loop over basis vectors
-      std::cout << GridLogMessage<< "CoarsenMatrixColoured vec "<<i<<"/"<<nbasis<< std::endl;
-
-      //      std::cout << GridLogMessage << " phasing the fine vector "<<std::endl;
-      // Fixme : do this in batches
-      for(int p=0;p<npoint;p+=batch){ // Loop over momenta in npoint
-
-	for(int b=0;b<MIN(batch,npoint-p);b++){
-	  tphaseBZ-=usecond();
-	  phaV = phaF[p+b]*Subspace.subspace[i];
-	  tphaseBZ+=usecond();
-
-	  /////////////////////////////////////////////////////////////////////
-	  // Multiple phased subspace vector by matrix and project to subspace
-	  // Remove local bulk phase to leave relative phases
-	  /////////////////////////////////////////////////////////////////////
-	  // Memory footprint was an issue
-	  tmat-=usecond();
-	  linop.Op(phaV,MphaV);
-	  _MphaV[b] = MphaV;
-	  tmat+=usecond();
-	}      
-
-	//	std::cout << GridLogMessage << " Calling block project "<<std::endl;
-	tproj-=usecond();
-	Projector.blockProject(_MphaV,TmpProj);
-	tproj+=usecond();
-	
-	//	std::cout << GridLogMessage << " conj phasing the coarse vectors "<<std::endl;
-	for(int b=0;b<MIN(batch,npoint-p);b++){
-	  ComputeProj[p+b] = conjugate(pha[p+b])*TmpProj[b];
-	}
-      }
-
-      // Could do this with a block promote or similar BLAS call via the MultiRHSBlockProjector with a const matrix.
-      
-      // std::cout << GridLogMessage << " Starting FT inv "<<std::endl;
-      tinv-=usecond();
-      for(int k=0;k<npoint;k++){
-	FT = Zero();
-	// 81 kernel calls as many ComputeProj vectors
-	// Could fuse with a vector of views, but ugly
-	// Could unroll the expression and run fewer kernels -- much more attractive
-	// Could also do non blocking.
-#if 0	
-	for(int l=0;l<npoint;l++){
-	  FT= FT+ invMkl(l,k)*ComputeProj[l];
-	}
-#else
-	const int radix = 9;
-	int ll;
-	for(ll=0;ll+radix-1<npoint;ll+=radix){
-	  // When ll = npoint-radix, ll+radix-1 = npoint-1, and we do it all.
-	  FT = FT 
-	    + invMkl(ll+0,k)*ComputeProj[ll+0]
-	    + invMkl(ll+1,k)*ComputeProj[ll+1]
-	    + invMkl(ll+2,k)*ComputeProj[ll+2]
-	    + invMkl(ll+3,k)*ComputeProj[ll+3]
-	    + invMkl(ll+4,k)*ComputeProj[ll+4]
-	    + invMkl(ll+5,k)*ComputeProj[ll+5]
-	    + invMkl(ll+6,k)*ComputeProj[ll+6]
-	    + invMkl(ll+7,k)*ComputeProj[ll+7]
-	    + invMkl(ll+8,k)*ComputeProj[ll+8];
-	}
-	for(int l=ll;l<npoint;l++){
-	  FT= FT+ invMkl(l,k)*ComputeProj[l];
-	}
-#endif
-      
-	// 1 kernel call -- must be cheaper
-	int osites=CoarseGrid->oSites();
-	autoView( A_v  , _A[k], AcceleratorWrite);
-	autoView( FT_v  , FT, AcceleratorRead);
-	accelerator_for(sss, osites, 1, {
-	    for(int j=0;j<nbasis;j++){
-	      A_v[sss](i,j) = FT_v[sss](j);
-	    }
-        });
-      }
-      tinv+=usecond();
-    }
-
-    // Only needed if nonhermitian
-    //    if ( ! hermitian ) {
-    //      std::cout << GridLogMessage<<"PopulateAdag  "<<std::endl;
-    //      PopulateAdag();
-    //    }
-    // Need to write something to populate Adag from A
-    //    std::cout << GridLogMessage << " Calling GridtoBLAS "<<std::endl;
-    for(int p=0;p<geom_srhs.npoint;p++){
-      GridtoBLAS(_A[p],BLAS_A[p]);
-    }
-    std::cout << GridLogMessage<<"CoarsenOperator phase  "<<tphase<<" us"<<std::endl;
-    std::cout << GridLogMessage<<"CoarsenOperator phaseBZ "<<tphaseBZ<<" us"<<std::endl;
-    std::cout << GridLogMessage<<"CoarsenOperator mat    "<<tmat <<" us"<<std::endl;
-    std::cout << GridLogMessage<<"CoarsenOperator proj   "<<tproj<<" us"<<std::endl;
-    std::cout << GridLogMessage<<"CoarsenOperator inv    "<<tinv<<" us"<<std::endl;
-#endif
-  }
-  void Mdag(const CoarseVector &in, CoarseVector &out)
-  {
-    this->M(in,out);
-  }
-  void M (const CoarseVector &in, CoarseVector &out)
-  {
-    //    std::cout << GridLogMessage << "New Mrhs coarse"<<std::endl;
-    conformable(CoarseGrid(),in.Grid());
-    conformable(in.Grid(),out.Grid());
-    out.Checkerboard() = in.Checkerboard();
-
-    RealD t_tot;
-    RealD t_exch;
-    RealD t_GtoB;
-    RealD t_BtoG;
-    RealD t_mult;
-
-    t_tot=-usecond();
-    CoarseVector tin=in;
-    t_exch=-usecond();
-    CoarseVector pin = Cell.ExchangePeriodic(tin); //padded input
-    t_exch+=usecond();
-
-    CoarseVector pout(pin.Grid());
-
-    int npoint = geom.npoint;
-    typedef calcMatrix* Aview;
-    typedef LatticeView<Cvec> Vview;
-      
-    const int Nsimd = CComplex::Nsimd();
-
-    int64_t nrhs  =pin.Grid()->GlobalDimensions()[0];
-    GRID_ASSERT(nrhs>=1);
-
-    RealD flops,bytes;
-    int64_t osites=in.Grid()->oSites(); // unpadded
-    int64_t unpadded_vol = CoarseGrid()->lSites()/nrhs;
-    
-    flops = 1.0* npoint * nbasis * nbasis * 8.0 * osites * CComplex::Nsimd();
-    bytes = 1.0*osites*sizeof(siteMatrix)*npoint/pin.Grid()->GlobalDimensions()[0]
-          + 2.0*osites*sizeof(siteVector)*npoint;
-    
-
-    t_GtoB=-usecond();
-    GridtoBLAS(pin,BLAS_B);
-    t_GtoB+=usecond();
-
-    GridBLAS BLAS;
-
-    t_mult=-usecond();
-    for(int p=0;p<geom.npoint;p++){
-      RealD c = 1.0;
-      if (p==0) c = 0.0;
-      ComplexD beta(c);
-
-      BLAS.gemmBatched(nbasis,nrhs,nbasis,
-		       ComplexD(1.0),
-		       BLAS_AP[p], 
-		       BLAS_BP[p], 
-		       ComplexD(c), 
-		       BLAS_CP);
-    }
-    BLAS.synchronise();
-    t_mult+=usecond();
-
-    t_BtoG=-usecond();
-    BLAStoGrid(out,BLAS_C);
-    t_BtoG+=usecond();
-    t_tot+=usecond();
-    /*
-    std::cout << GridLogMessage << "New Mrhs coarse DONE "<<std::endl;
-    std::cout << GridLogMessage<<"Coarse Mult exch "<<t_exch<<" us"<<std::endl;
-    std::cout << GridLogMessage<<"Coarse Mult mult "<<t_mult<<" us"<<std::endl;
-    std::cout << GridLogMessage<<"Coarse Mult GtoB  "<<t_GtoB<<" us"<<std::endl;
-    std::cout << GridLogMessage<<"Coarse Mult BtoG  "<<t_BtoG<<" us"<<std::endl;
-    std::cout << GridLogMessage<<"Coarse Mult tot  "<<t_tot<<" us"<<std::endl;
-    */
-    //    std::cout << GridLogMessage<<std::endl;
-    //    std::cout << GridLogMessage<<"Coarse Kernel flops "<< flops<<std::endl;
-    //    std::cout << GridLogMessage<<"Coarse Kernel flop/s "<< flops/t_mult<<" mflop/s"<<std::endl;
-    //    std::cout << GridLogMessage<<"Coarse Kernel bytes/s "<< bytes/t_mult/1000<<" GB/s"<<std::endl;
-    //    std::cout << GridLogMessage<<"Coarse overall flops/s "<< flops/t_tot<<" mflop/s"<<std::endl;
-    //    std::cout << GridLogMessage<<"Coarse total bytes   "<< bytes/1e6<<" MB"<<std::endl;
-  };
-  virtual  void Mdiag    (const Field &in, Field &out){ GRID_ASSERT(0);};
-  virtual  void Mdir     (const Field &in, Field &out,int dir, int disp){assert(0);};
-  virtual  void MdirAll  (const Field &in, std::vector<Field> &out){assert(0);};
-};
-  
-NAMESPACE_END(Grid);

Grid/algorithms/multigrid/GeneralCoarsenedMatrixMultiRHSV2.h

@@ -1,870 +0,0 @@
-/*************************************************************************************
-
-    Grid physics library, www.github.com/paboyle/Grid 
-
-    Source file: ./lib/algorithms/GeneralCoarsenedMatrixMultiRHS.h
-
-    Copyright (C) 2015
-
-Author: Peter Boyle <pboyle@bnl.gov>
-
-    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 */
-#pragma once
-
-
-NAMESPACE_BEGIN(Grid);
-
-
-// Fine Object == (per site) type of fine field
-// nbasis      == number of deflation vectors
-template<class Fobj,class CComplex,int nbasis>
-class MultiGeneralCoarsenedOperatorV2 : public SparseMatrixBase<Lattice<iVector<CComplex,nbasis > > >  {
-public:
-  typedef typename CComplex::scalar_object SComplex;
-  typedef GeneralCoarsenedMatrix<Fobj,CComplex,nbasis> GeneralCoarseOp;
-  typedef MultiGeneralCoarsenedOperatorV2<Fobj,CComplex,nbasis> MultiGeneralCoarseOp;
-
-  typedef iVector<CComplex,nbasis >           siteVector;
-  typedef iMatrix<CComplex,nbasis >           siteMatrix;
-  typedef iVector<SComplex,nbasis >           calcVector;
-  typedef iMatrix<SComplex,nbasis >           calcMatrix;
-  typedef Lattice<iScalar<CComplex> >         CoarseComplexField;
-  typedef Lattice<siteVector>                 CoarseVector;
-  typedef Lattice<iMatrix<CComplex,nbasis > > CoarseMatrix;
-  typedef iMatrix<CComplex,nbasis >  Cobj;
-  typedef iVector<CComplex,nbasis >  Cvec;
-  typedef Lattice< CComplex >   CoarseScalar; // used for inner products on fine field
-  typedef Lattice<Fobj >        FineField;
-  typedef CoarseVector Field;
-
-  // Block operations on the fine vectors carry the fine layout, which need
-  // not be the coarse one
-  typedef decltype(innerProduct(Fobj(),Fobj())) FineInner;
-  typedef Lattice<FineInner>                    FineComplexField;
-  typedef Lattice<FineInner>                    BlockComplexField;
-
-  ////////////////////
-  // Data members
-  //
-  // Nrhs independent: the D dimensional coarse grid, the geometry, the padded
-  // cell that supplies the stencil grid, the stencil, and the matrix elements.
-  //
-  // Nrhs dependent: the D+1 grid, its padded cell, and the BLAS B/C buffers
-  // with their pointer tables. Owned by SetNRHS().
-  ////////////////////
-  GridCartesian *       _CoarseGrid;        // D dimensional
-  NonLocalStencilGeometry geom;
-  NonLocalStencilGeometry geom_srhs;
-  PaddedCell CellD;                         // D dimensional, supplies stencil grid
-  GeneralLocalStencil Stencil;              // D dimensional
-
-  int                   _Nrhs;
-  GridCartesian *       _CoarseGridMulti;   // D+1 dimensional, SetNRHS
-  PaddedCell *          CellMulti;          // D+1 dimensional, SetNRHS
-
-  deviceVector<calcVector> BLAS_B;
-  deviceVector<calcVector> BLAS_C;
-  std::vector<deviceVector<calcMatrix> > BLAS_A;
-
-  std::vector<deviceVector<ComplexD *> > BLAS_AP;
-  std::vector<deviceVector<ComplexD *> > BLAS_BP;
-  deviceVector<ComplexD *>               BLAS_CP;
-
-  ///////////////////////
-  // Interface
-  ///////////////////////
-  GridBase      * Grid(void)           { CheckGridSet(); return _CoarseGridMulti; };
-  GridCartesian * CoarseGrid(void)     { CheckGridSet(); return _CoarseGridMulti; };
-  GridCartesian * CoarseGridD(void)    { return _CoarseGrid; };        // lower dimensional grid
-  int             Nrhs(void)           { CheckGridSet(); return _Nrhs; };
-
-  void CheckGridSet(void)
-  {
-    if ( _CoarseGridMulti == nullptr ) {
-      std::cout << GridLogError
-		<< "MultiGeneralCoarsenedOperatorV2: the multiRHS grid has not been set."
-		<< std::endl;
-      std::cout << GridLogError
-		<< "  Call SetGrid(CoarseGridMulti) with the D+1 dimensional grid your"
-		<< std::endl;
-      std::cout << GridLogError
-		<< "  coarse vectors live on, before Grid(), Nrhs() or M()."
-		<< std::endl;
-      GRID_ASSERT(_CoarseGridMulti != nullptr);
-    }
-  }
-
-  //////////////////////////////////////////////////////////////////////////
-  // Bilingual accessors, matching GeneralCoarsenedMatrix. Note Grid() is the
-  // D+1 multiRHS grid here, so a consumer wanting the space the elements live
-  // on must ask for CoarseGridD().
-  //////////////////////////////////////////////////////////////////////////
-  NonLocalStencilGeometry & Geometry(void)      { return geom_srhs; };
-  void ExtractMatrix(int p,CoarseMatrix &A)     { BLAStoGrid(A,BLAS_A[p]); };
-
-  // I/O on the operator matrices, via the BLAS layout array. The parameter is
-  // a vector over the geometry points; the body indexes A[p].
-  void SetMatrix (int p,std::vector<CoarseMatrix> & A)
-  {
-    GRID_ASSERT(A.size()==geom_srhs.npoint);
-    GridtoBLAS(A[p],BLAS_A[p]);
-  }
-  void GetMatrix (int p,std::vector<CoarseMatrix> & A)
-  {
-    GRID_ASSERT(A.size()==geom_srhs.npoint);
-    BLAStoGrid(A[p],BLAS_A[p]);
-  }
-  void CopyMatrix (GeneralCoarseOp &_Op)
-  {
-    for(int p=0;p<geom.npoint;p++){
-      auto Aup = _Op.Cell.Extract(_Op._A[p]);
-      //Unpadded
-      GridtoBLAS(Aup,BLAS_A[p]);
-    }
-  }
-  /*
-  void CheckMatrix (GeneralCoarseOp &_Op)
-  {
-    std::cout <<"************* Checking the little direc operator mRHS"<<std::endl;
-    for(int p=0;p<geom.npoint;p++){
-      //Unpadded
-      auto Aup = _Op.Cell.Extract(_Op._A[p]);
-      auto Ack = Aup;
-      BLAStoGrid(Ack,BLAS_A[p]);
-      std::cout << p<<" Ack "<<norm2(Ack)<<std::endl;
-      std::cout << p<<" Aup "<<norm2(Aup)<<std::endl;
-    }
-    std::cout <<"************* "<<std::endl;
-  }
-  */
-  
-  ///////////////////////////////////////////////////////////////////////////
-  // Constructor takes the D dimensional coarse grid. Everything built here
-  // is independent of Nrhs, in particular the matrix elements, which must
-  // survive a change of Nrhs untouched.
-  ///////////////////////////////////////////////////////////////////////////
-  MultiGeneralCoarsenedOperatorV2(NonLocalStencilGeometry &_geom,GridCartesian *CoarseGrid) :
-    _CoarseGrid(CoarseGrid),
-    geom_srhs(_geom),
-    geom(CoarseGrid,_geom.hops,_geom.skip),
-    CellD(geom.Depth(),CoarseGrid),
-    Stencil(CellD.grids.back(),geom.shifts), // D dimensional padded cell stencil
-    _Nrhs(-1),
-    _CoarseGridMulti(nullptr),
-    CellMulti(nullptr)
-  {
-    int32_t unpadded_sites = _CoarseGrid->lSites();
-
-    /////////////////////////////////////////////////
-    // Matrix elements and their pointer table
-    /////////////////////////////////////////////////
-    BLAS_A.resize(geom.npoint);
-    BLAS_AP.resize(geom.npoint);
-    for(int p=0;p<geom.npoint;p++){
-      BLAS_A[p].resize (unpadded_sites); // no ghost zone, npoint elements
-      BLAS_AP[p].resize(unpadded_sites);
-    }
-
-    // Site identity mapping for A
-    for(int p=0;p<geom.npoint;p++){
-      for(int ss=0;ss<unpadded_sites;ss++){
-	ComplexD *ptr = (ComplexD *)&BLAS_A[p][ss];
-	acceleratorPut(BLAS_AP[p][ss],ptr);
-      }
-    }
-  }
-
-  virtual ~MultiGeneralCoarsenedOperatorV2()
-  {
-    ReleaseGrid();
-  }
-
-  ///////////////////////////////////////////////////////////////////////////
-  // Free everything SetGrid allocated. The D+1 grid is borrowed from the
-  // caller and is never deleted here. Safe to call repeatedly and before
-  // the destructor.
-  ///////////////////////////////////////////////////////////////////////////
-  void ReleaseGrid(void)
-  {
-    if ( CellMulti != nullptr ) { delete CellMulti; CellMulti = nullptr; }
-
-    _CoarseGridMulti = nullptr;  // borrowed, not owned
-    _Nrhs            = -1;
-
-    BLAS_B.resize(0);
-    BLAS_C.resize(0);
-    for(int p=0;p<BLAS_BP.size();p++){
-      BLAS_BP[p].resize(0);
-    }
-    BLAS_BP.resize(0);
-    BLAS_CP.resize(0);
-  }
-
-  ///////////////////////////////////////////////////////////////////////////
-  // Everything that depends on Nrhs. Idempotent; lazy called on demand.
-  //
-  // The stencil lives on the D dimensional padded grid. PaddedCell only pads
-  // a dimension when it is distributed, and the rhs direction never is, so
-  // the D+1 padded grid is exactly Nrhs copies of the D dimensional padded
-  // grid with rhs innermost. The neighbour offset therefore carries an Nrhs
-  // factor, in the same way the Nsimd factor is carried.
-  ///////////////////////////////////////////////////////////////////////////
-  void SetGrid(GridCartesian *CoarseGridMulti)
-  {
-    GRID_ASSERT(CoarseGridMulti != nullptr);
-
-    if ( CoarseGridMulti == _CoarseGridMulti ) return; // idempotent on identity
-
-    ReleaseGrid();
-
-    /////////////////////////////////////////////////
-    // The D+1 grid is supplied and owned by the caller. Two operators over
-    // the same coarse space must share one grid object or their fields will
-    // not conform, so this is never manufactured internally.
-    /////////////////////////////////////////////////
-    int nd = _CoarseGrid->_ndimension;
-
-    GRID_ASSERT(CoarseGridMulti->_ndimension == nd+1);
-    GRID_ASSERT(CoarseGridMulti->_processors[0] == 1);   // rhs is not distributed
-    for(int d=0;d<nd;d++){
-      GRID_ASSERT(CoarseGridMulti->_fdimensions[d+1] == _CoarseGrid->_fdimensions[d]);
-      GRID_ASSERT(CoarseGridMulti->_processors [d+1] == _CoarseGrid->_processors [d]);
-      GRID_ASSERT(CoarseGridMulti->_simd_layout[d+1] == _CoarseGrid->_simd_layout[d]);
-    }
-
-    _CoarseGridMulti = CoarseGridMulti;
-    _Nrhs            = CoarseGridMulti->_fdimensions[0];
-    GRID_ASSERT(_Nrhs>=1);
-
-    int nrhs = _Nrhs;
-
-    CellMulti = new PaddedCell(geom.Depth(),_CoarseGridMulti);
-
-    int32_t padded_sites   = CellD.grids.back()->lSites(); // D dimensional
-    int32_t unpadded_sites = _CoarseGrid->lSites();        // D dimensional
-
-    // The neighbour offset multiplication by nrhs is exact only if the D+1
-    // padded volume is nrhs copies of the D dimensional one. Check it.
-    GRID_ASSERT(CellMulti->grids.back()->lSites() == nrhs*padded_sites);
-    GRID_ASSERT(_CoarseGridMulti->lSites()        == nrhs*unpadded_sites);
-
-    /////////////////////////////////////////////////
-    // Device data vector storage
-    /////////////////////////////////////////////////
-    BLAS_B.resize(nrhs *padded_sites);   // includes ghost zone
-    BLAS_C.resize(nrhs *unpadded_sites); // no ghost zone
-    BLAS_BP.resize(geom.npoint);
-    for(int p=0;p<geom.npoint;p++){
-      BLAS_BP[p].resize(unpadded_sites);
-    }
-    BLAS_CP.resize(unpadded_sites);
-
-    // Site identity mapping for C
-    for(int ss=0;ss<unpadded_sites;ss++){
-      ComplexD *ptr = (ComplexD *)&BLAS_C[ss*nrhs];
-      acceleratorPut(BLAS_CP[ss],ptr);
-    }
-
-    // Neighbour table is more complicated
-    int32_t j=0; // Interior point counter (unpadded)
-    for(int32_t s=0;s<padded_sites;s++){ // D volume, padded
-      int ghost_zone=0;
-      for(int32_t point = 0 ; point < geom.npoint; point++){
-	int i=s*geom.npoint+point;
-	if( Stencil._entries[i]._wrap ) { // stencil is indexed by the oSite of the D dim grid
-	  ghost_zone=1; // If general stencil wrapped in any direction, wrap=1
-	}
-      }
-
-      if( ghost_zone==0) {
-	for(int32_t point = 0 ; point < geom.npoint; point++){
-	  int i=s*geom.npoint+point;
- 	  int32_t nbr = Stencil._entries[i]._offset*CComplex::Nsimd(); // oSite -> lSite, D dim
-	  nbr = nbr*nrhs;                                              // D -> D+1, rhs innermost
-	  GRID_ASSERT(nbr<BLAS_B.size());
-	  ComplexD * ptr = (ComplexD *)&BLAS_B[nbr];
-	  acceleratorPut(BLAS_BP[point][j],ptr); // neighbour indexing in ghost zone volume
-	}
-	j++;
-      }
-    }
-    GRID_ASSERT(j==unpadded_sites);
-  }
-  template<class vobj> void GridtoBLAS(const Lattice<vobj> &from,deviceVector<typename vobj::scalar_object> &to)
-  {
-  typedef typename vobj::scalar_object sobj;
-  typedef typename vobj::scalar_type scalar_type;
-  typedef typename vobj::vector_type vector_type;
-
-  GridBase *Fg = from.Grid();
-  GRID_ASSERT(!Fg->_isCheckerBoarded);
-  int nd = Fg->_ndimension;
-
-  to.resize(Fg->lSites());
-
-  Coordinate LocalLatt = Fg->LocalDimensions();
-  size_t nsite = 1;
-  for(int i=0;i<nd;i++) nsite *= LocalLatt[i];
-
-  ////////////////////////////////////////////////////////////////////////////////////////////////
-  // do the index calc on the GPU
-  ////////////////////////////////////////////////////////////////////////////////////////////////
-  Coordinate f_ostride = Fg->_ostride;
-  Coordinate f_istride = Fg->_istride;
-  Coordinate f_rdimensions = Fg->_rdimensions;
-
-  autoView(from_v,from,AcceleratorRead);
-  auto to_v = &to[0];
-
-  const int words=sizeof(vobj)/sizeof(vector_type);
-  accelerator_for(idx,nsite,1,{
-      
-      Coordinate from_coor, base;
-      Lexicographic::CoorFromIndex(base,idx,LocalLatt);
-      for(int i=0;i<nd;i++){
-	from_coor[i] = base[i];
-      }
-      int from_oidx = 0; for(int d=0;d<nd;d++) from_oidx+=f_ostride[d]*(from_coor[d]%f_rdimensions[d]);
-      int from_lane = 0; for(int d=0;d<nd;d++) from_lane+=f_istride[d]*(from_coor[d]/f_rdimensions[d]);
-
-      const vector_type* from = (const vector_type *)&from_v[from_oidx];
-      scalar_type* to = (scalar_type *)&to_v[idx];
-      
-      scalar_type stmp;
-      for(int w=0;w<words;w++){
-	stmp = getlane(from[w], from_lane);
-	to[w] = stmp;
-      }
-    });
-  }    
-  template<class vobj> void BLAStoGrid(Lattice<vobj> &grid,deviceVector<typename vobj::scalar_object> &in)
-  {
-  typedef typename vobj::scalar_object sobj;
-  typedef typename vobj::scalar_type scalar_type;
-  typedef typename vobj::vector_type vector_type;
-
-  GridBase *Tg = grid.Grid();
-  GRID_ASSERT(!Tg->_isCheckerBoarded);
-  int nd = Tg->_ndimension;
-  
-  GRID_ASSERT(in.size()==Tg->lSites());
-
-  Coordinate LocalLatt = Tg->LocalDimensions();
-  size_t nsite = 1;
-  for(int i=0;i<nd;i++) nsite *= LocalLatt[i];
-
-  ////////////////////////////////////////////////////////////////////////////////////////////////
-  // do the index calc on the GPU
-  ////////////////////////////////////////////////////////////////////////////////////////////////
-  Coordinate t_ostride = Tg->_ostride;
-  Coordinate t_istride = Tg->_istride;
-  Coordinate t_rdimensions = Tg->_rdimensions;
-
-  autoView(to_v,grid,AcceleratorWrite);
-  auto from_v = &in[0];
-
-  const int words=sizeof(vobj)/sizeof(vector_type);
-  accelerator_for(idx,nsite,1,{
-      
-      Coordinate to_coor, base;
-      Lexicographic::CoorFromIndex(base,idx,LocalLatt);
-      for(int i=0;i<nd;i++){
-	to_coor[i] = base[i];
-      }
-      int to_oidx = 0; for(int d=0;d<nd;d++) to_oidx+=t_ostride[d]*(to_coor[d]%t_rdimensions[d]);
-      int to_lane = 0; for(int d=0;d<nd;d++) to_lane+=t_istride[d]*(to_coor[d]/t_rdimensions[d]);
-
-      vector_type* to = (vector_type *)&to_v[to_oidx];
-      scalar_type* from = (scalar_type *)&from_v[idx];
-      
-      scalar_type stmp;
-      for(int w=0;w<words;w++){
-	stmp=from[w];
-	putlane(to[w], stmp, to_lane);
-      }
-    });
-  }
-  ///////////////////////////////////////////////////////////////////////////
-  // Shared by both CoarsenOperator variants
-  //
-  //     conj(pha[block]) proj[k (which mom)][j (basis vec cpt)][block]
-  //       =  \sum_{l in ball}  e^{i q_k . delta_l} < phi_{block,j} | MdagM | phi_{(block+delta_l),i} >
-  //       =  \sum_{l in ball} e^{iqk.delta_l} A_ji^{b.b+l}
-  //       = M_{kl} A_ji^{b.b+l}
-  //
-  //     Where q_k = delta_k . (2*M_PI/global_nb[mu])
-  //     Then A{ji}^{b,b+l} = M^{-1}_{lm} ComputeProj_{m,b,i,j}
-  ///////////////////////////////////////////////////////////////////////////
-  void CoarsenFourierMatrix(GridBase *CoarseGrid,Eigen::MatrixXcd &invMkl)
-  {
-    const int npoint = geom_srhs.npoint;
-    Coordinate clatt = CoarseGrid->GlobalDimensions();
-    int Nd = CoarseGrid->Nd();
-
-    Eigen::MatrixXcd Mkl = Eigen::MatrixXcd::Zero(npoint,npoint);
-    ComplexD ci(0.0,1.0);
-    for(int k=0;k<npoint;k++){ // Loop over momenta
-      for(int l=0;l<npoint;l++){ // Loop over nbr relative
-	ComplexD phase(0.0,0.0);
-	for(int mu=0;mu<Nd;mu++){
-	  RealD TwoPiL =  M_PI * 2.0/ clatt[mu];
-	  phase=phase+TwoPiL*geom_srhs.shifts[k][mu]*geom_srhs.shifts[l][mu];
-	}
-	phase=exp(phase*ci);
-	Mkl(k,l) = phase;
-      }
-    }
-    invMkl = Mkl.inverse();
-  }
-
-  ///////////////////////////////////////////////////////////////////////////
-  // blockOrthogonalise and blockZAXPY are block operations on the fine
-  // vectors, using a coarse shaped field only as an index set. They need a
-  // grid carrying the fine SIMD layout, which the coarse space no longer
-  // does. Constructed local to the caller so it cannot be mistaken for the
-  // coarse grid.
-  ///////////////////////////////////////////////////////////////////////////
-  void CoarsenBlockGridLayout(GridBase *grid,GridBase *CoarseGrid,
-			      Coordinate &latt,Coordinate &simd,Coordinate &mpi)
-  {
-    int nd = CoarseGrid->_ndimension;
-    latt.resize(nd); simd.resize(nd); mpi.resize(nd);
-    for(int d=0;d<nd;d++){
-      latt[d] = CoarseGrid->_fdimensions[d];
-      simd[d] = grid->_simd_layout[d];
-      mpi [d] = CoarseGrid->_processors[d];
-    }
-  }
-
-  // D+1 coarse grid holding the batch, rhs innermost and unvectorised
-  void CoarsenBatchGridLayout(GridBase *CoarseGrid,int batch,
-			      Coordinate &latt,Coordinate &simd,Coordinate &mpi)
-  {
-    latt.resize(1,batch); simd.resize(1,1); mpi.resize(1,1);
-    latt[0]=batch; simd[0]=1; mpi[0]=1;
-    for(int d=0;d<CoarseGrid->_ndimension;d++){
-      latt.push_back(CoarseGrid->_fdimensions[d]);
-      simd.push_back(CoarseGrid->_simd_layout[d]);
-      mpi .push_back(CoarseGrid->_processors[d]);
-    }
-  }
-
-  ///////////////////////////////////////////////////////////////////////////
-  // The Fourier inverse needs the phase in the coarse layout and the basis
-  // phasing needs it in the fine layout; each is built from its own
-  // coordinates rather than transferred.
-  ///////////////////////////////////////////////////////////////////////////
-  void CoarsenPhases(GridBase *grid,GridBase *CoarseGrid,GridCartesian *BlockGrid,
-		     std::vector<CoarseComplexField> &pha,
-		     std::vector<FineComplexField> &phaF)
-  {
-    const int npoint = geom_srhs.npoint;
-    Coordinate clatt = CoarseGrid->GlobalDimensions();
-    int Nd = CoarseGrid->Nd();
-    ComplexD ci(0.0,1.0);
-
-    typedef typename CComplex::scalar_type SComplex;
-    FineComplexField one(grid); one=SComplex(1.0);
-    FineComplexField zz(grid);  zz = Zero();
-    BlockComplexField pha_blk (BlockGrid);
-    BlockComplexField blk_coor(BlockGrid);
-
-    for(int p=0;p<npoint;p++){ // Loop over momenta in npoint
-      CoarseComplexField coor(CoarseGrid);
-      pha[p] =Zero();
-      pha_blk=Zero();
-      for(int mu=0;mu<Nd;mu++){
-	RealD TwoPiL =  M_PI * 2.0/ clatt[mu];
-	LatticeCoordinate(coor,mu);
-	pha[p]  = pha[p]  + (TwoPiL * geom_srhs.shifts[p][mu]) * coor;
-	LatticeCoordinate(blk_coor,mu);
-	pha_blk = pha_blk + (TwoPiL * geom_srhs.shifts[p][mu]) * blk_coor;
-      }
-      pha[p] =exp(pha[p] *ci);
-      pha_blk=exp(pha_blk*ci);
-
-      blockZAXPY(phaF[p],pha_blk,one,zz);
-    }
-  }
-
-  ///////////////////////////////////////////////////////////////////////////
-  // Remove the bulk phase from the batch of coarse projections and
-  // accumulate the Fourier inverse into A. Both variants reach here with
-  // TmpProj in the same batch coarse order, so this is shared verbatim.
-  ///////////////////////////////////////////////////////////////////////////
-  void CoarsenAccumulate(int p,int i0,int nbv,int batch,
-			 Eigen::MatrixXcd &invMkl,
-			 std::vector<CoarseComplexField> &pha,
-			 CoarseComplexField &phaB,
-			 CoarseVector &TmpProj,
-			 std::vector<CoarseMatrix> &_A,
-			 GridBase *CoarseGrid)
-  {
-    typedef typename CComplex::scalar_type SComplex;
-    const int npoint = geom_srhs.npoint;
-
-    for(int b=0;b<batch;b++) InsertSliceFast(pha[p],phaB,b,0);
-    TmpProj = conjugate(phaB)*TmpProj;
-
-    int osites=CoarseGrid->oSites();
-    for(int k=0;k<npoint;k++){
-      SComplex sc(invMkl(p,k).real(),invMkl(p,k).imag());
-      CComplex coef(sc);
-      autoView( A_v  , _A[k], AcceleratorWrite);
-      autoView( TP_v , TmpProj, AcceleratorRead);
-      accelerator_for(sss, osites, 1, {
-	  for(int b=0;b<nbv;b++){
-	    for(int j=0;j<nbasis;j++){
-	      A_v[sss](i0+b,j) = A_v[sss](i0+b,j) + coef*TP_v[b+batch*sss](j);
-	    }
-	  }
-      });
-    }
-  }
-
-  void CoarsenReport(RealD tphase,RealD tphaseBZ,RealD tslice,
-		     RealD tmat,RealD tproj,RealD tinv)
-  {
-    std::cout << GridLogMessage<<"CoarsenOperator phase  "<<tphase<<" us"<<std::endl;
-    std::cout << GridLogMessage<<"CoarsenOperator phaseBZ "<<tphaseBZ<<" us"<<std::endl;
-    std::cout << GridLogMessage<<"CoarsenOperator slice  "<<tslice <<" us"<<std::endl;
-    std::cout << GridLogMessage<<"CoarsenOperator mat    "<<tmat <<" us"<<std::endl;
-    std::cout << GridLogMessage<<"CoarsenOperator proj   "<<tproj<<" us"<<std::endl;
-    std::cout << GridLogMessage<<"CoarsenOperator inv    "<<tinv<<" us"<<std::endl;
-  }
-
-  ///////////////////////////////////////////////////////////////////////////
-  // Coarsen a NATIVELY multiRHS fine operator.
-  //
-  // linop acts on the D+1 dimensional fine grid FineGridMulti, with the batch
-  // of phased basis vectors carried in the rhs direction. A single RHS
-  // operator can be promoted with MrhsPromotedOperator, but that pays an
-  // ExtractSlice/InsertSlice pair per rhs; prefer the single RHS variant
-  // below in that case.
-  ///////////////////////////////////////////////////////////////////////////
-  void CoarsenOperator(LinearOperatorBase<Lattice<Fobj> > &linop,
-		       GridCartesian *FineGridMulti,
-		       std::vector<FineField> &Subspace,
-		       GridBase *CoarseGrid)
-  {
-    RealD tproj=0.0, tmat=0.0, tphase=0.0, tphaseBZ=0.0, tslice=0.0, tinv=0.0;
-
-    std::cout << GridLogMessage<< "GeneralCoarsenMatrixMrhs (multiRHS fine operator)"<< std::endl;
-
-    GRID_ASSERT(Subspace.size()==nbasis);
-    GridBase *grid = Subspace[0].Grid();
-
-    GRID_ASSERT(FineGridMulti->_ndimension == grid->_ndimension+1);
-    GRID_ASSERT(FineGridMulti->_processors[0] == 1);
-    for(int d=0;d<grid->_ndimension;d++){
-      GRID_ASSERT(FineGridMulti->_fdimensions[d+1] == grid->_fdimensions[d]);
-      GRID_ASSERT(FineGridMulti->_processors [d+1] == grid->_processors [d]);
-    }
-    int batch = FineGridMulti->_fdimensions[0];
-
-    Coordinate blatt,bsimd,bmpi;
-    CoarsenBlockGridLayout(grid,CoarseGrid,blatt,bsimd,bmpi);
-    GridCartesian BlockGrid(blatt,bsimd,bmpi);
-
-    BlockComplexField InnerProd(&BlockGrid);
-    blockOrthogonalise(InnerProd,Subspace);
-
-    MultiRHSBlockProject<Lattice<Fobj> >    Projector;
-    Projector.Allocate(nbasis,grid,CoarseGrid);
-    Projector.ImportBasis(Subspace);
-
-    const int npoint = geom_srhs.npoint;
-
-    Eigen::MatrixXcd invMkl;
-    CoarsenFourierMatrix(CoarseGrid,invMkl);
-
-    FineField phaV(grid);
-    std::vector<FineComplexField>   phaF(npoint,grid);
-    std::vector<CoarseComplexField> pha (npoint,CoarseGrid);
-
-    tphase=-usecond();
-    CoarsenPhases(grid,CoarseGrid,&BlockGrid,pha,phaF);
-    tphase+=usecond();
-
-    std::vector<CoarseMatrix> _A;
-    _A.resize(npoint,CoarseGrid);
-    for(int k=0;k<npoint;k++) _A[k] = Zero();
-
-    Coordinate cmlatt,cmsimd,cmmpi;
-    CoarsenBatchGridLayout(CoarseGrid,batch,cmlatt,cmsimd,cmmpi);
-    GridCartesian CoarseBatchGrid(cmlatt,cmsimd,cmmpi);
-
-    CoarseVector       TmpProj(&CoarseBatchGrid);
-    CoarseComplexField phaB(&CoarseBatchGrid);
-
-    FineField hi_in (FineGridMulti);
-    FineField hi_out(FineGridMulti);
-    FineField zzF(grid); zzF = Zero();
-
-    for(int i0=0;i0<nbasis;i0+=batch){ // Loop over batches of basis vectors
-
-      int nbv = MIN(batch,nbasis-i0);
-      std::cout << GridLogMessage<< "CoarsenMatrixColoured vec "<<i0<<"/"<<nbasis<< std::endl;
-
-      for(int p=0;p<npoint;p++){ // Loop over momenta
-
-	// One phase, applied to the whole batch. Tail slices are zeroed so
-	// the operator never sees undefined data.
-	for(int b=0;b<nbv;b++){
-	  tphaseBZ-=usecond();
-	  phaV = phaF[p]*Subspace[i0+b];
-	  tphaseBZ+=usecond();
-	  tslice-=usecond();
-	  InsertSliceFast(phaV,hi_in,b,0);
-	  tslice+=usecond();
-	}
-	tslice-=usecond();
-	for(int b=nbv;b<batch;b++){
-	  InsertSliceFast(zzF,hi_in,b,0);
-	}
-	tslice+=usecond();
-
-	tmat-=usecond();
-	linop.Op(hi_in,hi_out);
-	tmat+=usecond();
-
-	tproj-=usecond();
-	Projector.blockProject(hi_out,TmpProj);
-	tproj+=usecond();
-
-	tinv-=usecond();
-	CoarsenAccumulate(p,i0,nbv,batch,invMkl,pha,phaB,TmpProj,_A,CoarseGrid);
-	tinv+=usecond();
-      }
-    }
-
-    for(int p=0;p<npoint;p++){
-      GridtoBLAS(_A[p],BLAS_A[p]);
-    }
-    CoarsenReport(tphase,tphaseBZ,tslice,tmat,tproj,tinv);
-  }
-
-  ///////////////////////////////////////////////////////////////////////////
-  // Coarsen a SINGLE RHS fine operator.
-  //
-  // No multiRHS packing: the operator is applied once per phased basis
-  // vector and the batch is assembled on the coarse side by the mixed
-  // blockProject, which takes a vector of fine fields and writes the batch
-  // coarse field the accumulate expects. Only nbv applications per momentum,
-  // so a batch that does not divide nbasis wastes nothing, and the live fine
-  // storage is batch fields rather than two D+1 fields of extent batch.
-  ///////////////////////////////////////////////////////////////////////////
-  void CoarsenOperator(LinearOperatorBase<Lattice<Fobj> > &linop,
-		       std::vector<FineField> &Subspace,
-		       GridBase *CoarseGrid,
-		       int batch)
-  {
-    RealD tproj=0.0, tmat=0.0, tphase=0.0, tphaseBZ=0.0, tslice=0.0, tinv=0.0;
-
-    std::cout << GridLogMessage<< "GeneralCoarsenMatrixMrhs (single RHS fine operator)"<< std::endl;
-
-    GRID_ASSERT(Subspace.size()==nbasis);
-    GRID_ASSERT(batch>=1);
-    GridBase *grid = Subspace[0].Grid();
-
-    Coordinate blatt,bsimd,bmpi;
-    CoarsenBlockGridLayout(grid,CoarseGrid,blatt,bsimd,bmpi);
-    GridCartesian BlockGrid(blatt,bsimd,bmpi);
-
-    BlockComplexField InnerProd(&BlockGrid);
-    blockOrthogonalise(InnerProd,Subspace);
-
-    MultiRHSBlockProject<Lattice<Fobj> >    Projector;
-    Projector.Allocate(nbasis,grid,CoarseGrid);
-    Projector.ImportBasis(Subspace);
-
-    const int npoint = geom_srhs.npoint;
-
-    Eigen::MatrixXcd invMkl;
-    CoarsenFourierMatrix(CoarseGrid,invMkl);
-
-    FineField phaV(grid);
-    std::vector<FineComplexField>   phaF(npoint,grid);
-    std::vector<CoarseComplexField> pha (npoint,CoarseGrid);
-
-    tphase=-usecond();
-    CoarsenPhases(grid,CoarseGrid,&BlockGrid,pha,phaF);
-    tphase+=usecond();
-
-    std::vector<CoarseMatrix> _A;
-    _A.resize(npoint,CoarseGrid);
-    for(int k=0;k<npoint;k++) _A[k] = Zero();
-
-    Coordinate cmlatt,cmsimd,cmmpi;
-    CoarsenBatchGridLayout(CoarseGrid,batch,cmlatt,cmsimd,cmmpi);
-    GridCartesian CoarseBatchGrid(cmlatt,cmsimd,cmmpi);
-
-    CoarseVector       TmpProj(&CoarseBatchGrid);
-    CoarseComplexField phaB(&CoarseBatchGrid);
-
-    std::vector<FineField> MphaV(batch,grid);
-
-    for(int i0=0;i0<nbasis;i0+=batch){ // Loop over batches of basis vectors
-
-      int nbv = MIN(batch,nbasis-i0);
-      std::cout << GridLogMessage<< "CoarsenMatrixColoured vec "<<i0<<"/"<<nbasis<< std::endl;
-
-      for(int p=0;p<npoint;p++){ // Loop over momenta
-
-	for(int b=0;b<nbv;b++){
-	  tphaseBZ-=usecond();
-	  phaV = phaF[p]*Subspace[i0+b];
-	  tphaseBZ+=usecond();
-	  tmat-=usecond();
-	  linop.Op(phaV,MphaV[b]);
-	  tmat+=usecond();
-	}
-	// The accumulate reads only the first nbv slices, but the projector
-	// sees the whole vector, so the tail must not be undefined.
-	for(int b=nbv;b<batch;b++) MphaV[b] = Zero();
-
-	tproj-=usecond();
-	Projector.blockProject(MphaV,TmpProj);
-	tproj+=usecond();
-
-	tinv-=usecond();
-	CoarsenAccumulate(p,i0,nbv,batch,invMkl,pha,phaB,TmpProj,_A,CoarseGrid);
-	tinv+=usecond();
-      }
-    }
-
-    for(int p=0;p<npoint;p++){
-      GridtoBLAS(_A[p],BLAS_A[p]);
-    }
-    CoarsenReport(tphase,tphaseBZ,tslice,tmat,tproj,tinv);
-  }
-  void Mdag(const CoarseVector &in, CoarseVector &out)
-  {
-    this->M(in,out);
-  }
-  void M (const CoarseVector &in, CoarseVector &out)
-  {
-    //    std::cout << GridLogMessage << "New Mrhs coarse"<<std::endl;
-    conformable(CoarseGrid(),in.Grid());
-    conformable(in.Grid(),out.Grid());
-    out.Checkerboard() = in.Checkerboard();
-
-    RealD t_tot;
-    RealD t_exch;
-    RealD t_GtoB;
-    RealD t_BtoG;
-    RealD t_mult;
-
-    CheckGridSet();
-    if ( in.Grid() != _CoarseGridMulti ) {
-      std::cout << GridLogError
-		<< "MultiGeneralCoarsenedOperatorV2::M called with a field on a"
-		<< std::endl;
-      std::cout << GridLogError
-		<< "  different grid object from the one given to SetGrid(). Two"
-		<< std::endl;
-      std::cout << GridLogError
-		<< "  grids of identical shape do not conform; share one object."
-		<< std::endl;
-      GRID_ASSERT(in.Grid() == _CoarseGridMulti);
-    }
-
-    GRID_TRACE("CoarseV2Mult");
-    t_tot=-usecond();
-    CoarseVector tin=in;
-    t_exch=-usecond();
-    // lambda scope so the roctx range covers exactly the exchange; the
-    // PaddedCellFwd/BwdMPI markers inside it then nest properly.
-    CoarseVector pin = [&](){ GRID_TRACE("CoarseV2Exchange");
-                              return CellMulti->ExchangePeriodic(tin); }(); //padded input
-    t_exch+=usecond();
-
-    CoarseVector pout(pin.Grid());
-
-    int npoint = geom.npoint;
-    typedef calcMatrix* Aview;
-    typedef LatticeView<Cvec> Vview;
-      
-    const int Nsimd = CComplex::Nsimd();
-
-    int64_t nrhs  =pin.Grid()->GlobalDimensions()[0];
-    GRID_ASSERT(nrhs>=1);
-
-    RealD flops,bytes;
-    int64_t osites=in.Grid()->oSites(); // unpadded
-    int64_t unpadded_vol = CoarseGrid()->lSites()/nrhs;
-    
-    flops = 1.0* npoint * nbasis * nbasis * 8.0 * osites * CComplex::Nsimd();
-    bytes = 1.0*osites*sizeof(siteMatrix)*npoint/pin.Grid()->GlobalDimensions()[0]
-          + 2.0*osites*sizeof(siteVector)*npoint;
-    
-
-    t_GtoB=-usecond();
-    { GRID_TRACE("CoarseV2GridToBLAS");
-      GridtoBLAS(pin,BLAS_B);
-    }
-    t_GtoB+=usecond();
-
-    GridBLAS BLAS;
-
-    t_mult=-usecond();
-    { GRID_TRACE("CoarseV2StencilGEMM");
-    for(int p=0;p<geom.npoint;p++){
-      RealD c = 1.0;
-      if (p==0) c = 0.0;
-      ComplexD beta(c);
-
-      BLAS.gemmBatched(nbasis,nrhs,nbasis,
-		       ComplexD(1.0),
-		       BLAS_AP[p], 
-		       BLAS_BP[p], 
-		       ComplexD(c), 
-		       BLAS_CP);
-    }
-    BLAS.synchronise();
-    }
-    t_mult+=usecond();
-
-    t_BtoG=-usecond();
-    { GRID_TRACE("CoarseV2BLASToGrid");
-      BLAStoGrid(out,BLAS_C);
-    }
-    t_BtoG+=usecond();
-    t_tot+=usecond();
-    /*
-    std::cout << GridLogMessage << "New Mrhs coarse DONE "<<std::endl;
-    std::cout << GridLogMessage<<"Coarse Mult exch "<<t_exch<<" us"<<std::endl;
-    std::cout << GridLogMessage<<"Coarse Mult mult "<<t_mult<<" us"<<std::endl;
-    std::cout << GridLogMessage<<"Coarse Mult GtoB  "<<t_GtoB<<" us"<<std::endl;
-    std::cout << GridLogMessage<<"Coarse Mult BtoG  "<<t_BtoG<<" us"<<std::endl;
-    std::cout << GridLogMessage<<"Coarse Mult tot  "<<t_tot<<" us"<<std::endl;
-    */
-    //    std::cout << GridLogMessage<<std::endl;
-    //    std::cout << GridLogMessage<<"Coarse Kernel flops "<< flops<<std::endl;
-    //    std::cout << GridLogMessage<<"Coarse Kernel flop/s "<< flops/t_mult<<" mflop/s"<<std::endl;
-    //    std::cout << GridLogMessage<<"Coarse Kernel bytes/s "<< bytes/t_mult/1000<<" GB/s"<<std::endl;
-    //    std::cout << GridLogMessage<<"Coarse overall flops/s "<< flops/t_tot<<" mflop/s"<<std::endl;
-    //    std::cout << GridLogMessage<<"Coarse total bytes   "<< bytes/1e6<<" MB"<<std::endl;
-  };
-  virtual  void Mdiag    (const Field &in, Field &out){ GRID_ASSERT(0);};
-  virtual  void Mdir     (const Field &in, Field &out,int dir, int disp){assert(0);};
-  virtual  void MdirAll  (const Field &in, std::vector<Field> &out){assert(0);};
-};
-  
-NAMESPACE_END(Grid);

Grid/algorithms/multigrid/Geometry.h

@@ -1,238 +0,0 @@
-/*************************************************************************************
-
-    Grid physics library, www.github.com/paboyle/Grid 
-
-    Source file: ./lib/algorithms/GeneralCoarsenedMatrix.h
-
-    Copyright (C) 2015
-
-Author: Peter Boyle <pboyle@bnl.gov>
-
-    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 */
-#pragma once
-
-NAMESPACE_BEGIN(Grid);
-
-
-/////////////////////////////////////////////////////////////////
-// Geometry class in cartesian case
-/////////////////////////////////////////////////////////////////
-
-class Geometry {
-public:
-  int npoint;
-  int base;
-  std::vector<int> directions   ;
-  std::vector<int> displacements;
-  std::vector<int> points_dagger;
-
-  Geometry(int _d)  {
-    
-    base = (_d==5) ? 1:0;
-
-    // make coarse grid stencil for 4d , not 5d
-    if ( _d==5 ) _d=4;
-
-    npoint = 2*_d+1;
-    directions.resize(npoint);
-    displacements.resize(npoint);
-    points_dagger.resize(npoint);
-    for(int d=0;d<_d;d++){
-      directions[d   ] = d+base;
-      directions[d+_d] = d+base;
-      displacements[d  ] = +1;
-      displacements[d+_d]= -1;
-      points_dagger[d   ] = d+_d;
-      points_dagger[d+_d] = d;
-    }
-    directions   [2*_d]=0;
-    displacements[2*_d]=0;
-    points_dagger[2*_d]=2*_d;
-  }
-
-  int point(int dir, int disp) {
-    GRID_ASSERT(disp == -1 || disp == 0 || disp == 1);
-    GRID_ASSERT(base+0 <= dir && dir < base+4);
-
-    // directions faster index = new indexing
-    // 4d (base = 0):
-    // point 0  1  2  3  4  5  6  7  8
-    // dir   0  1  2  3  0  1  2  3  0
-    // disp +1 +1 +1 +1 -1 -1 -1 -1  0
-    // 5d (base = 1):
-    // point 0  1  2  3  4  5  6  7  8
-    // dir   1  2  3  4  1  2  3  4  0
-    // disp +1 +1 +1 +1 -1 -1 -1 -1  0
-
-    // displacements faster index = old indexing
-    // 4d (base = 0):
-    // point 0  1  2  3  4  5  6  7  8
-    // dir   0  0  1  1  2  2  3  3  0
-    // disp +1 -1 +1 -1 +1 -1 +1 -1  0
-    // 5d (base = 1):
-    // point 0  1  2  3  4  5  6  7  8
-    // dir   1  1  2  2  3  3  4  4  0
-    // disp +1 -1 +1 -1 +1 -1 +1 -1  0
-
-    if(dir == 0 and disp == 0)
-      return 8;
-    else // New indexing
-      return (1 - disp) / 2 * 4 + dir - base;
-    // else // Old indexing
-    //   return (4 * (dir - base) + 1 - disp) / 2;
-  }
-};
-
-/////////////////////////////////////////////////////////////////
-// Less local equivalent of Geometry class in cartesian case
-/////////////////////////////////////////////////////////////////
-class NonLocalStencilGeometry {
-public:
-  //  int depth;
-  int skip;
-  int hops;
-  int npoint;
-  std::vector<Coordinate> shifts;
-  Coordinate stencil_size;
-  Coordinate stencil_lo;
-  Coordinate stencil_hi;
-  GridCartesian *grid;
-  GridCartesian *Grid() {return grid;};
-  int Depth(void){return 1;};   // Ghost zone depth
-  int Hops(void){return hops;}; // # of hops=> level of corner fill in in stencil
-  int DimSkip(void){return skip;};
-
-  virtual ~NonLocalStencilGeometry() {};
-
-  int  Reverse(int point)
-  {
-    int Nd = Grid()->Nd();
-    Coordinate shft = shifts[point];
-    Coordinate rev(Nd);
-    for(int mu=0;mu<Nd;mu++) rev[mu]= -shft[mu];
-    for(int p=0;p<npoint;p++){
-      if(rev==shifts[p]){
-	return p;
-      }
-    }
-    GRID_ASSERT(0);
-    return -1;
-  }
-  void BuildShifts(void)
-  {
-    this->shifts.resize(0);
-    int Nd = this->grid->Nd();
-
-    int dd = this->DimSkip();
-    for(int s0=this->stencil_lo[dd+0];s0<=this->stencil_hi[dd+0];s0++){
-    for(int s1=this->stencil_lo[dd+1];s1<=this->stencil_hi[dd+1];s1++){
-    for(int s2=this->stencil_lo[dd+2];s2<=this->stencil_hi[dd+2];s2++){
-    for(int s3=this->stencil_lo[dd+3];s3<=this->stencil_hi[dd+3];s3++){
-      Coordinate sft(Nd,0);
-      sft[dd+0] = s0;
-      sft[dd+1] = s1;
-      sft[dd+2] = s2;
-      sft[dd+3] = s3;
-      int nhops = abs(s0)+abs(s1)+abs(s2)+abs(s3);
-      if(nhops<=this->hops) this->shifts.push_back(sft);
-    }}}}
-    this->npoint = this->shifts.size();
-    std::cout << GridLogMessage << "NonLocalStencilGeometry has "<< this->npoint << " terms in stencil "<<std::endl;
-  }
-  
-  NonLocalStencilGeometry(GridCartesian *_coarse_grid,int _hops,int _skip) : grid(_coarse_grid), hops(_hops), skip(_skip)
-  {
-    Coordinate latt = grid->GlobalDimensions();
-    stencil_size.resize(grid->Nd());
-    stencil_lo.resize(grid->Nd());
-    stencil_hi.resize(grid->Nd());
-    for(int d=0;d<grid->Nd();d++){
-     if ( latt[d] == 1 ) {
-      stencil_lo[d] = 0;
-      stencil_hi[d] = 0;
-      stencil_size[d]= 1;
-     } else if ( latt[d] == 2 ) {
-      stencil_lo[d] = -1;
-      stencil_hi[d] = 0;
-      stencil_size[d]= 2;
-     } else if ( latt[d] > 2 ) {
-       stencil_lo[d] = -1;
-       stencil_hi[d] =  1;
-       stencil_size[d]= 3;
-     }
-    }
-    this->BuildShifts();
-  };
-
-};
-
-// Need to worry about red-black now
-class NonLocalStencilGeometry4D : public NonLocalStencilGeometry {
-public:
-  virtual int DerivedDimSkip(void) { return 0;};
-  NonLocalStencilGeometry4D(GridCartesian *Coarse,int _hops) : NonLocalStencilGeometry(Coarse,_hops,0) { };
-  virtual ~NonLocalStencilGeometry4D() {};
-};
-class NonLocalStencilGeometry5D : public NonLocalStencilGeometry {
-public:
-  virtual int DerivedDimSkip(void) { return 1; }; 
-  NonLocalStencilGeometry5D(GridCartesian *Coarse,int _hops) : NonLocalStencilGeometry(Coarse,_hops,1)  { };
-  virtual ~NonLocalStencilGeometry5D() {};
-};
-/*
- * Bunch of different options classes
- */
-class NextToNextToNextToNearestStencilGeometry4D : public NonLocalStencilGeometry4D {
-public:
-  NextToNextToNextToNearestStencilGeometry4D(GridCartesian *Coarse) :  NonLocalStencilGeometry4D(Coarse,4)
-  {
-  };
-};
-class NextToNextToNextToNearestStencilGeometry5D : public  NonLocalStencilGeometry5D {
-public:
-  NextToNextToNextToNearestStencilGeometry5D(GridCartesian *Coarse) :  NonLocalStencilGeometry5D(Coarse,4)
-  {
-  };
-};
-class NextToNearestStencilGeometry4D : public  NonLocalStencilGeometry4D {
-public:
-  NextToNearestStencilGeometry4D(GridCartesian *Coarse) :  NonLocalStencilGeometry4D(Coarse,2)
-  {
-  };
-};
-class NextToNearestStencilGeometry5D : public  NonLocalStencilGeometry5D {
-public:
-  NextToNearestStencilGeometry5D(GridCartesian *Coarse) :  NonLocalStencilGeometry5D(Coarse,2)
-  {
-  };
-};
-class NearestStencilGeometry4D : public  NonLocalStencilGeometry4D {
-public:
-  NearestStencilGeometry4D(GridCartesian *Coarse) :  NonLocalStencilGeometry4D(Coarse,1)
-  {
-  };
-};
-class NearestStencilGeometry5D : public  NonLocalStencilGeometry5D {
-public:
-  NearestStencilGeometry5D(GridCartesian *Coarse) :  NonLocalStencilGeometry5D(Coarse,1)
-  {
-  };
-};
-
-NAMESPACE_END(Grid);

Grid/algorithms/multigrid/MrhsPromotedOperator.h

@@ -1,161 +0,0 @@
-/*************************************************************************************
-
-    Grid physics library, www.github.com/paboyle/Grid
-
-    Source file: ./lib/algorithms/multigrid/MrhsPromotedOperator.h
-
-    Copyright (C) 2026
-
-Author: Peter Boyle <pboyle@bnl.gov>
-
-    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 */
-#pragma once
-
-NAMESPACE_BEGIN(Grid);
-
-///////////////////////////////////////////////////////////////////////////////
-// Present a D dimensional operator as a D+1 dimensional operator with Nrhs in
-// dimension 0.  Field type is unchanged; only the Grid differs, so this is a
-// LinearOperatorBase and callers need no template parameter: a native mrhs
-// operator derives from the same base and substitutes without a call site
-// change.
-//
-// Slices in and out around the wrapped operator.  No arithmetic beyond the
-// wrapped call, but one ExtractSliceFast/InsertSliceFast pair per right hand
-// side: data motion, not work.
-//
-// AdjOp is carried so that A^dag may be coarsened as a separate coarse
-// operator when needed, rather than doubling coarse storage.
-///////////////////////////////////////////////////////////////////////////////
-template<class Field>
-class MrhsPromotedOperator : public LinearOperatorBase<Field>
-{
-private:
-
-  LinearOperatorBase<Field> &_LinOp;
-  GridBase                  *_LowGrid;
-  int                        _Nrhs;
-
-public:
-
-  MrhsPromotedOperator(LinearOperatorBase<Field> &LinOp,GridBase *LowGrid,int Nrhs)
-    : _LinOp(LinOp), _LowGrid(LowGrid), _Nrhs(Nrhs)
-  {
-    GRID_ASSERT(_Nrhs>=1);
-  }
-
-  GridBase *LowGrid(void) { return _LowGrid; }
-  int       Nrhs(void)    { return _Nrhs;    }
-
-  // Reset on each call; retrieve and accumulate in the caller
-  RealD tslice;
-  RealD top;
-
-  void OpDiag (const Field &in, Field &out)
-  {
-    SliceLoop(in,out,[&](Field &i,Field &o){ _LinOp.OpDiag(i,o); });
-  }
-
-  void Op     (const Field &in, Field &out)
-  {
-    SliceLoop(in,out,[&](Field &i,Field &o){ _LinOp.Op(i,o); });
-  }
-
-  void AdjOp  (const Field &in, Field &out)
-  {
-    SliceLoop(in,out,[&](Field &i,Field &o){ _LinOp.AdjOp(i,o); });
-  }
-
-  void HermOp (const Field &in, Field &out)
-  {
-    SliceLoop(in,out,[&](Field &i,Field &o){ _LinOp.HermOp(i,o); });
-  }
-
-  void OpDir  (const Field &in, Field &out,int dir,int disp)
-  {
-    SliceLoop(in,out,[&](Field &i,Field &o){ _LinOp.OpDir(i,o,dir,disp); });
-  }
-
-  //////////////////////////////////////////////////////////////////
-  // Norms of the D+1 field are the sums over slices
-  //////////////////////////////////////////////////////////////////
-  void HermOpAndNorm(const Field &in, Field &out,RealD &n1,RealD &n2)
-  {
-    Conformable(in,out);
-    Field lo_in (_LowGrid);
-    Field lo_out(_LowGrid);
-    n1=0.0;
-    n2=0.0;
-    for(int r=0;r<_Nrhs;r++){
-      RealD r1,r2;
-      ExtractSliceFast(lo_in,in,r,0);
-      _LinOp.HermOpAndNorm(lo_in,lo_out,r1,r2);
-      InsertSliceFast(lo_out,out,r,0);
-      n1=n1+r1;
-      n2=n2+r2;
-    }
-  }
-
-  void OpDirAll(const Field &in, std::vector<Field> &out)
-  {
-    int npoint = out.size();
-    Field lo_in(_LowGrid);
-    std::vector<Field> lo_out(npoint,_LowGrid);
-    for(int r=0;r<_Nrhs;r++){
-      ExtractSliceFast(lo_in,in,r,0);
-      _LinOp.OpDirAll(lo_in,lo_out);
-      for(int p=0;p<npoint;p++){
-        InsertSliceFast(lo_out[p],out[p],r,0);
-      }
-    }
-  }
-
-private:
-
-  void Conformable(const Field &in,const Field &out)
-  {
-    conformable(in.Grid(),out.Grid());
-    GRID_ASSERT(in.Grid()->_ndimension == _LowGrid->_ndimension+1);
-    GRID_ASSERT(in.Grid()->_fdimensions[0] == _Nrhs);
-  }
-
-  template<class Kernel>
-  void SliceLoop(const Field &in,Field &out,Kernel K)
-  {
-    Conformable(in,out);
-    Field lo_in (_LowGrid);
-    Field lo_out(_LowGrid);
-    tslice=0.0;
-    top=0.0;
-    for(int r=0;r<_Nrhs;r++){
-      tslice-=usecond();
-      ExtractSliceFast(lo_in,in,r,0);
-      tslice+=usecond();
-      top-=usecond();
-      K(lo_in,lo_out);
-      top+=usecond();
-      tslice-=usecond();
-      InsertSliceFast(lo_out,out,r,0);
-      tslice+=usecond();
-    }
-  }
-
-};
-
-NAMESPACE_END(Grid);

Grid/algorithms/multigrid/MultiGrid.h

@@ -1,36 +0,0 @@
-    /*************************************************************************************
-
-    Grid physics library, www.github.com/paboyle/Grid
-
-    Source file: Grid/algorithms/multigrid/MultiGrid.h
-
-    Copyright (C) 2023
-
-Author: Peter Boyle <pboyle@bnl.gov>
-
-    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 */
-#pragma once
-
-#include <Grid/algorithms/multigrid/Aggregates.h>
-#include <Grid/algorithms/multigrid/Geometry.h>
-#include <Grid/algorithms/multigrid/CoarsenedMatrix.h>
-#include <Grid/algorithms/multigrid/GeneralCoarsenedMatrix.h>
-#include <Grid/algorithms/multigrid/GeneralCoarsenedMatrixMultiRHS.h>
-#include <Grid/algorithms/multigrid/GeneralCoarsenedMatrixMultiRHSV2.h>
-#include <Grid/algorithms/multigrid/MrhsPromotedOperator.h>

Grid/algorithms/multigrid/RecursiveSchurInverse.h

@@ -1,874 +0,0 @@
-/*************************************************************************************
-
-    Grid physics library, www.github.com/paboyle/Grid
-
-    Source file: RecursiveSchurInverse.h
-
-    Copyright (C) 2026
-
-Author: Peter Boyle <pboyle@bnl.gov>
-
-    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 */
-#pragma once
-
-#include <Grid/algorithms/blas/BatchedBlas.h>
-#include <Grid/algorithms/blas/BatchedInverse.h>
-
-#include <algorithm>
-
-NAMESPACE_BEGIN(Grid);
-
-///////////////////////////////////////////////////////////////////////////////
-// RecursiveSchurInverse: distributed dense inversion by recursive Schur
-// complement over a binary rank-range tree.
-//
-// Contract: rank r owns global rows [rowStart[r], rowStart[r+1]) of an
-// N x N matrix in rank-major ordering, and receives its rows of the
-// inverse in the same layout.  Consumes GridBase collectives, GridBLAS
-// and GridBLASInverse only; Eigen reference backends permit CPU unit
-// testing under mpirun (Test_schur_inverse).
-//
-// Arithmetic is fp64 throughout; the caller rounds once into fp32 storage.
-//
-// Execution: SPMD full-tree walk.  Every rank makes the identical call
-// sequence; data participation is ownership-gated; all collectives are
-// world-wide, so no deadlock surface exists.
-//
-// Storage: BlockRows is column-major, ld = rows; element (i,j) at
-// data[i + j*ld]; a column window is the contiguous slice at data[col0*ld].
-///////////////////////////////////////////////////////////////////////////////
-
-///////////////////////////////////////////////////////////////////////////////
-// My rows of a distributed dense matrix: rows x cols, column major, ld = rows.
-///////////////////////////////////////////////////////////////////////////////
-class BlockRows
-{
-public:
-  deviceVector<ComplexD> data;
-  int64_t                rows;
-  int64_t                cols;
-  int64_t                ld;
-
-  BlockRows()
-  {
-    rows = 0;
-    cols = 0;
-    ld   = 0;
-  }
-  void Resize(int64_t r, int64_t c)
-  {
-    rows = r;
-    cols = c;
-    ld   = r;
-    data.resize((uint64_t)r*c);
-  }
-  ComplexD *ColumnWindow(int64_t col0)
-  {
-    GRID_ASSERT( col0 >= 0 );
-    GRID_ASSERT( col0 <= cols );
-    return &data[(uint64_t)col0*ld];
-  }
-};
-
-class RecursiveSchurInverse
-{
-public:
-  GridBase             *grid;       // world collectives only
-  int64_t               N;          // global matrix dimension
-  int                   P;          // ranks
-  int                   me;         // this rank
-  std::vector<int64_t>  rowStart;   // P+1 entries: rank-major row ownership
-  int64_t               myRow0;
-  int64_t               myNrows;
-  int64_t               panelBytes; // gather panel budget (DENSE_PANEL_BYTES)
-
-  GridBLAS              BLAS;
-  GridBLASInverse       INV;
-
-  // Growth telemetry: one entry per merge node, walk order
-  std::vector<double>   telNormB;      // ||B||_F = ||A11inv A12||_F
-  std::vector<double>   telSratio;     // ||S||_F / ||A22||_F
-  double                telLeafMaxInv; // max |(leaf inverse)_ij| over leaves
-
-  // Phase timers/counters, reported by ReportTelemetry
-  double                tMemset;       // device panel zero-fill
-  double                tDeposit;      // owner rows -> panel (device kernel)
-  double                tAllreduce;    // panel collective (see tBarrier)
-  double                tBarrier;      // arrival skew, when DENSE_BARRIER_PROBE
-  double                tRepack;       // rank-major -> panel (gather path)
-  double                tGemm;         // strided gemm + synchronise
-  double                tLeaf;         // leaf inversions
-  double                tARmin;        // fastest single panel collective
-  double                tARmax;        // slowest single panel collective
-  std::vector<double>   tARall;        // every panel collective, for percentiles
-  uint64_t              bytesAllreduce;
-  uint64_t              nAllreduce;    // panel collectives
-  uint64_t              nGatherGemm;   // GatherGemm calls
-  uint64_t              nGather;       // gather-path collectives (debug gate)
-  uint64_t              nGatherV;      // ... of which MPI_Allgatherv
-  uint64_t              nBcast;        // ... of which Bcast-assembled
-
-  // Persistent grow-only device panel; assembly and collectives are
-  // device-resident.  Device builds require GPU-aware MPI.
-  deviceVector<ComplexD> dPanelBuf;
-  // Rank-major receive staging for the AllGatherV path, plus the per-panel-row
-  // owner maps that drive the repack.  Grow-only, same discipline as dPanelBuf:
-  // a fresh device allocation per collective is catastrophic (measured).
-  deviceVector<ComplexD> dRecvBuf;
-  deviceVector<int64_t>  dOwnerOff;    // panel row -> owner's first panel row
-  deviceVector<int64_t>  dOwnerRows;   // panel row -> owner's row count
-
-  // DENSE_GATHER            : transport for the panel assembly.
-  //     0 = zero-fill + GlobalSumVector  (default; moves the payload twice)
-  //     1 = MPI_Allgatherv               (KNOWN BROKEN here, see guard below)
-  //     2 = C sequential MPI_Bcast, one per contributing rank.  Bcast has no
-  //         count vector, so the zero-count shape that breaks Allgatherv
-  //         cannot arise.  Costs C collectives instead of 1 and the roots do
-  //         not transmit concurrently, so the byte cost is ~2*panel per rank
-  //         -- the same as the allreduce.  It wins only if Bcast is faster
-  //         PER BYTE than Allreduce, which is why it must be measured.
-  // DENSE_GATHER_MIN_BYTES  : panels below this stay on the allreduce path.
-  //                           Default 0 (always gather).  The Schur tree puts
-  //                           94% of its bytes in panels with ~3.7 MB per-rank
-  //                           messages, i.e. squarely bandwidth bound; only the
-  //                           two deepest levels (1.2% of bytes, 16-65 KB per
-  //                           rank) are latency bound.  This exists so that
-  //                           tail can be excluded with an env var rather than
-  //                           a rebuild, if it ever proves to matter.
-  // DENSE_BARRIER_PROBE     : Barrier() before each panel collective.
-  //   DEFAULTS ON, and it is an optimisation rather than instrumentation.
-  //   Measured at 288 ranks, N=138240: comms 380.3 s -> 314.7 s and the whole
-  //   invert 394.3 s -> 327.7 s, with the worst single collective falling
-  //   2474.9 ms -> 256.2 ms and effective rate 2.40 -> 4.27 GB/s.  Convoy
-  //   accounting alone predicts NO saving (barrier and collective both
-  //   complete at max-over-ranks), so the mechanism is that the collective
-  //   itself degrades under skewed arrival, not that skew is rebooked.
-  //   Set DENSE_BARRIER_PROBE=0 to recover the old behaviour.  It also
-  //   separates arrival skew (tBarrier) from transfer (tAllreduce).
-  int                    useGather;
-  int64_t                gatherMinBytes;
-  int                    barrierProbe;
-  // DENSE_GATHER_DEBUG=N : dump the descriptor of the first N AllGatherV
-  // calls from rank 0.  The tiling invariant below is checked ALWAYS -- it
-  // costs one O(P) host loop against a collective, and a counts array that
-  // does not tile the panel is exactly the failure we are hunting.
-  int                    gatherDebug;
-
-  ///////////////////////////////////////////////////////////////////////////
-  // Ownership-table validation: a proper partition of [0,N).
-  // Static and communicator-free so synthetic tables unit-test directly.
-  ///////////////////////////////////////////////////////////////////////////
-  static void CheckRowStart(const std::vector<int64_t> &table, int64_t N)
-  {
-    int P = (int)table.size() - 1;
-    GRID_ASSERT( P >= 1 );
-    GRID_ASSERT( table[0] == 0 );
-    GRID_ASSERT( table[P] == N );
-    for(int r=0; r<P; r++)
-    {
-      GRID_ASSERT( table[r+1] >= table[r] );  // zero-row ranks permitted
-    }
-  }
-
-  ///////////////////////////////////////////////////////////////////////////
-  // Build the ownership table from each rank's local row count: zero-fill
-  // allgather (the standing comms idiom) then prefix sum.  Every rank
-  // returns the identical table.
-  ///////////////////////////////////////////////////////////////////////////
-  static std::vector<int64_t> MakeRowStart(GridBase *g, int64_t myNrows)
-  {
-    int P  = g->ProcessorCount();
-    int me = g->ThisRank();
-
-    std::vector<uint64_t> counts(P, 0);
-    counts[me] = (uint64_t)myNrows;
-    g->GlobalSumVector(&counts[0], P);
-
-    std::vector<int64_t> table(P+1);
-    table[0] = 0;
-    for(int r=0; r<P; r++)
-    {
-      table[r+1] = table[r] + (int64_t)counts[r];
-    }
-    CheckRowStart(table, table[P]);
-    return table;
-  }
-
-  RecursiveSchurInverse(GridBase *g,
-                        int64_t N_,
-                        std::vector<int64_t> &rowStart_,
-                        int64_t panelBytes_)
-  {
-    grid       = g;
-    N          = N_;
-    P          = g->ProcessorCount();
-    me         = g->ThisRank();
-    rowStart   = rowStart_;
-    panelBytes = panelBytes_;
-
-    GRID_ASSERT( (int)rowStart.size() == P+1 );
-    CheckRowStart(rowStart, N);
-
-    myRow0  = rowStart[me];
-    myNrows = rowStart[me+1] - rowStart[me];
-
-    telLeafMaxInv = 0.0;
-
-    useGather      = getenv("DENSE_GATHER") ? atoi(getenv("DENSE_GATHER")) : 0;
-    gatherMinBytes = getenv("DENSE_GATHER_MIN_BYTES")
-                   ? atol(getenv("DENSE_GATHER_MIN_BYTES")) : 0;
-    barrierProbe   = getenv("DENSE_BARRIER_PROBE") ? atoi(getenv("DENSE_BARRIER_PROBE")) : 1;
-    gatherDebug    = getenv("DENSE_GATHER_DEBUG") ? atoi(getenv("DENSE_GATHER_DEBUG")) : 0;
-
-    ///////////////////////////////////////////////////////////////////////
-    // DENSE_GATHER=1 is KNOWN BROKEN on Cray MPICH and refuses to start.
-    //
-    // The gather asks MPI_Allgatherv to assemble a panel to which only the
-    // rank sub-range [rB0,rB1) contributes; every other rank passes count 0.
-    // At Schur depth d that is P/2^(d+1) contributors out of P, i.e. 9 of 288
-    // at depth 4 and ~1 of 288 at depth 7.  Measured consequences at 288
-    // ranks (tests/debug/Test_allgather):
-    //   T5  288/288 contributing, 18.4 MB on device : sub-second.
-    //   T6  144/288 contributing,  9.2 MB on device : ~53 s.
-    // and in production, 9/288 contributing at 299 MB hangs and then aborts
-    // inside PMPI_Allgatherv ("req != NULL", mpir_request.h:508).
-    //
-    // The primitive itself is sound -- Test_allgather T1-T6 pass, and T3/T4
-    // verify it BITWISE against the zero-fill+GlobalSum idiom.  What fails is
-    // MPI's handling of a collective in which almost every rank contributes
-    // nothing.  Fixing it needs either P2P (a bisection allgather over
-    // [r0,r1)) or the 2D block-cyclic layout, which removes the shape
-    // altogether by giving every rank part of every sub-block.
-    //
-    // Fail here, in the first second, rather than 100 s and 36 nodes into a
-    // job.  DENSE_GATHER_FORCE=1 proceeds anyway for debugging.
-    ///////////////////////////////////////////////////////////////////////
-    if ( (useGather==1) && !getenv("DENSE_GATHER_FORCE") )
-    {
-      std::cout << GridLogError
-                << "DENSE_GATHER=1 is disabled: MPI_Allgatherv on this MPI is"
-                << " pathological when most ranks contribute count 0 (see the"
-                << " note at RecursiveSchurInverse.h, and Test_allgather T5 vs"
-                << " T6).  Unset DENSE_GATHER, or set DENSE_GATHER_FORCE=1 to"
-                << " proceed anyway." << std::endl;
-      GRID_ASSERT(0 && "DENSE_GATHER=1 known broken: see comment above");
-    }
-  }
-
-  ///////////////////////////////////////////////////////////////////////////
-  // The communication primitive.
-  //
-  //   C(:, colC : colC+widthB) <-   beta  * C(:, colC : colC+widthB)
-  //                               + alpha * A(:, colA : colA+widthA) * Bsub
-  //
-  // Bsub is the widthA x widthB sub-block of a row-distributed operand
-  // owned by ranks [rB0, rB1): owner r contributes its rows of
-  // B(:, colB : colB+widthB) at sub-block row offset
-  // rowStart[r] - rowStart[rB0], gathered in panelBytes row-chunks by
-  // device zero-fill + deposit kernel + GlobalSumVector.
-  //
-  // Every rank calls; non-owners of B add zeros; ranks with A.rows == 0
-  // skip local compute but make every collective call.  Column offsets
-  // are local buffer offsets -- non-participants pass 0.
-  ///////////////////////////////////////////////////////////////////////////
-  void GatherGemm(ComplexD alpha,
-                  BlockRows &A, int64_t colA, int64_t widthA,
-                  int rB0, int rB1,
-                  BlockRows &B, int64_t colB, int64_t widthB,
-                  ComplexD beta,
-                  BlockRows &C, int64_t colC)
-  {
-    GRID_ASSERT( rB0 >= 0 );
-    GRID_ASSERT( rB1 >  rB0 );
-    GRID_ASSERT( rB1 <= P );
-
-    int64_t k = rowStart[rB1] - rowStart[rB0];
-    int64_t m = A.rows;
-    int64_t n = widthB;
-    GRID_ASSERT( widthA == k );
-    GRID_ASSERT( n >= 1 );
-
-    int owner = ( me >= rB0 ) && ( me < rB1 ) && ( B.rows > 0 );
-    int64_t myOff = 0;
-    if ( owner )
-    {
-      myOff = rowStart[me] - rowStart[rB0];
-    }
-
-    if ( m > 0 )
-    {
-      GRID_ASSERT( colA + widthA <= A.cols );
-      GRID_ASSERT( colC + widthB <= C.cols );
-      GRID_ASSERT( C.rows == m );
-    }
-
-    nGatherGemm++;
-    GRID_TRACE("GatherGemm");
-
-    if ( owner )
-    {
-      GRID_ASSERT( colB + widthB <= B.cols );
-    }
-
-    // COLUMN chunking, not row chunking.  Each rank's contribution to a
-    // column chunk is rows_r x nchunk at ld = B.rows -- i.e. exactly the
-    // contiguous window B.ColumnWindow(colB+j0) -- so the AllGatherV send
-    // needs no pack.  Row chunking would slice each column and force one.
-    // It also makes every chunk a full-k product, so beta applies directly
-    // and the cross-chunk accumulation disappears.
-    int64_t bufs = useGather ? 2 : 1;         // panel, plus receive staging
-    int64_t nc = panelBytes / ( bufs * (int64_t)sizeof(ComplexD) * k );
-    if ( nc < 1 ) nc = 1;
-    if ( nc > n ) nc = n;
-    GRID_ASSERT( k*nc < 2147483647L );        // collective counts are int
-
-    deviceVector<ComplexD> &dPanel = dPanelBuf;
-    if ( dPanel.size() < (uint64_t)k*nc ) dPanel.resize((uint64_t)k*nc);
-    deviceVector<ComplexD*> ap(1);
-    deviceVector<ComplexD*> bp(1);
-    deviceVector<ComplexD*> cp(1);
-    std::vector<ComplexD*>  ptr(1);
-
-    // Panel-row -> owner maps for the repack.  Depend only on [rB0,rB1),
-    // so they are built once per call rather than once per chunk.
-    if ( useGather )
-    {
-      if ( dRecvBuf.size()   < (uint64_t)k*nc ) dRecvBuf.resize((uint64_t)k*nc);
-      if ( dOwnerOff.size()  < (uint64_t)k )    dOwnerOff.resize((uint64_t)k);
-      if ( dOwnerRows.size() < (uint64_t)k )    dOwnerRows.resize((uint64_t)k);
-      std::vector<int64_t> hoff(k), hrows(k);
-      for(int r=rB0; r<rB1; r++)
-      {
-        int64_t off_r  = rowStart[r]   - rowStart[rB0];
-        int64_t rows_r = rowStart[r+1] - rowStart[r];
-        for(int64_t i=0;i<rows_r;i++){ hoff[off_r+i]=off_r; hrows[off_r+i]=rows_r; }
-      }
-      acceleratorCopyToDevice(&hoff[0], &dOwnerOff[0], (uint64_t)k*sizeof(int64_t));
-      acceleratorCopyToDevice(&hrows[0],&dOwnerRows[0],(uint64_t)k*sizeof(int64_t));
-      if ( owner ) GRID_ASSERT( B.rows == rowStart[me+1]-rowStart[me] );
-    }
-
-    for(int64_t j0=0; j0<n; j0+=nc)
-    {
-      int64_t nchunk = std::min(nc, n-j0);
-      uint64_t panelWords = (uint64_t)k*nchunk;
-      uint64_t panelBytesThis = panelWords*sizeof(ComplexD);
-
-      // The MODE (0/1/2), not a boolean: `useGather && cond` collapses 2 to 1
-      // and silently dispatched DENSE_GATHER=2 onto the known-broken
-      // AllGatherV path (Frontier hang, 2026-08-24).  Identical on all ranks.
-      int gatherThis = ( (int64_t)panelBytesThis >= gatherMinBytes ) ? useGather : 0;
-
-      // Arrival skew is charged to the barrier, so that tAllreduce measures
-      // transfer alone.  Diagnostic only; off by default.
-      if ( barrierProbe ) { double tb = -usecond(); grid->Barrier(); tBarrier += tb+usecond(); }
-
-      double tar = -usecond();
-      if ( gatherThis )
-      {
-        //////////////////////////////////////////////////////////////////
-        // AllGatherV: move the payload once, no arithmetic, no zero fill.
-        // Receive is rank major -- a concatenation of rows_r x nchunk
-        // column-major blocks -- which is the correct ROW order but the
-        // wrong LAYOUT, so one device repack follows.
-        //////////////////////////////////////////////////////////////////
-        std::vector<int> counts(P,0), displs(P,0);
-        for(int r=rB0; r<rB1; r++)
-        {
-          counts[r] = (int)((rowStart[r+1]-rowStart[r])*nchunk);
-          displs[r] = (int)((rowStart[r]  -rowStart[rB0])*nchunk);
-        }
-        //////////////////////////////////////////////////////////////////
-        // The counts MUST tile the panel exactly: every one of the
-        // k*nchunk words has exactly one owner, or MPI is handed an
-        // inconsistent descriptor.  Always checked; O(P) against a
-        // collective is free.
-        //////////////////////////////////////////////////////////////////
-        int64_t csum = 0; int nz = 0;
-        for(int r=0;r<P;r++){ csum += counts[r]; if ( counts[r] ) nz++; }
-        GRID_ASSERT( csum == (int64_t)panelWords );
-        GRID_ASSERT( displs[rB1-1] + counts[rB1-1] == (int)panelWords );
-        // Gate on the count of GATHERS, not of all collectives.  nAllreduce
-        // is already in the hundreds by the first gather -- the recursion is
-        // depth first and everything below the size threshold takes the
-        // allreduce path -- so gating on it prints nothing at any sane value.
-        nGather++;
-        if ( gatherDebug && ((int)nGather <= gatherDebug) && (me==0) ) {
-          std::cout << GridLogMessage << "GATHER["<<nGather-1<<"]"
-                    << "  ranks ["<<rB0<<","<<rB1<<")"
-                    << "  k "<<k<<"  n "<<n<<"  nchunk "<<nchunk
-                    << "  panelWords "<<panelWords
-                    << " ("<<panelBytesThis/1024/1024<<" MB)"
-                    << "  contributors "<<nz<<"/"<<P
-                    << "  maxcount "<<*std::max_element(counts.begin(),counts.end())
-                    << "  rank0: count "<<counts[me]<<(owner?" owner":" non-owner")
-                    << std::endl;
-        }
-        if ( gatherThis == 1 )
-        {
-          nGatherV++;
-          void *send = owner ? (void *)B.ColumnWindow(colB+j0) : (void *)&dRecvBuf[0];
-          grid->AllGatherV(send, counts[me],
-                           (void *)&dRecvBuf[0], counts, displs, sizeof(ComplexD));
-        }
-        else
-        {
-          ////////////////////////////////////////////////////////////////
-          // C sequential broadcasts into the SAME rank-major staging
-          // buffer, so the repack below is shared with the AllGatherV arm.
-          // The root must already hold its own block: B.ColumnWindow is
-          // contiguous rows_r x nchunk, and so is its slot in dRecvBuf.
-          // Every rank issues all C broadcasts in the same order, so
-          // collective matching stays positional and safe.
-          ////////////////////////////////////////////////////////////////
-          nBcast++;
-          if ( owner )
-          {
-            int64_t off_me = rowStart[me] - rowStart[rB0];
-            acceleratorCopyDeviceToDevice((void *)B.ColumnWindow(colB+j0),
-                                          (void *)&dRecvBuf[off_me*nchunk],
-                                          (uint64_t)B.rows*nchunk*sizeof(ComplexD));
-          }
-          for(int r=rB0;r<rB1;r++)
-          {
-            int64_t off_r  = rowStart[r]   - rowStart[rB0];
-            int64_t rows_r = rowStart[r+1] - rowStart[r];
-            if ( rows_r )
-              grid->Broadcast(r,(void *)&dRecvBuf[off_r*nchunk],
-                              (uint64_t)rows_r*nchunk*sizeof(ComplexD));
-          }
-        }
-        tar += usecond();
-
-        tRepack -= usecond();
-        {
-          ComplexD *pan = &dPanel[0];
-          ComplexD *rcv = &dRecvBuf[0];
-          int64_t  *ooff  = &dOwnerOff[0];
-          int64_t  *orows = &dOwnerRows[0];
-          int64_t   kk = k, ncw = nchunk;
-          accelerator_for(idx, panelWords, 1, {
-            int64_t j = idx / kk;
-            int64_t p = idx - j*kk;
-            int64_t o = ooff[p];
-            int64_t rr= orows[p];
-            pan[idx] = rcv[(uint64_t)(o*ncw + (p-o) + j*rr)];
-          });
-        }
-        tRepack += usecond();
-      }
-      else
-      {
-        //////////////////////////////////////////////////////////////////
-        // Zero fill + deposit + GlobalSumVector.  Exact because the zero
-        // fill leaves exactly one contributing rank per element, but it
-        // moves the payload twice and reduces over zeros.
-        //////////////////////////////////////////////////////////////////
-        tar += usecond();
-        tMemset -= usecond();
-        acceleratorMemSet(&dPanel[0], 0, panelBytesThis);
-        tMemset += usecond();
-        if ( owner )
-        {
-          int64_t   brows = B.rows;
-          int64_t   kk    = k;
-          int64_t   dof   = myOff;
-          ComplexD *src   = B.ColumnWindow(colB+j0);
-          ComplexD *dst   = &dPanel[0];
-          tDeposit -= usecond();
-          accelerator_for(idx, (uint64_t)(brows*nchunk), 1, {
-            int64_t j = idx / brows;
-            int64_t i = idx - j*brows;
-            dst[(uint64_t)(dof + i + j*kk)] = src[(uint64_t)(i + j*brows)];
-          });
-          tDeposit += usecond();
-        }
-        tar = -usecond();
-        grid->GlobalSumVector(&dPanel[0], (int)panelWords);
-        tar += usecond();
-      }
-      tAllreduce += tar;
-      tARmin = std::min(tARmin, tar);
-      tARmax = std::max(tARmax, tar);
-      tARall.push_back(tar);
-      bytesAllreduce += panelBytesThis;
-      nAllreduce++;
-
-      if ( m > 0 )
-      {
-        // Full-k product into this column chunk of C: beta applies directly.
-        ptr[0] = A.ColumnWindow(colA);
-        acceleratorCopyToDevice(&ptr[0], &ap[0], sizeof(ComplexD*));
-        ptr[0] = &dPanel[0];
-        acceleratorCopyToDevice(&ptr[0], &bp[0], sizeof(ComplexD*));
-        ptr[0] = C.ColumnWindow(colC+j0);
-        acceleratorCopyToDevice(&ptr[0], &cp[0], sizeof(ComplexD*));
-
-        tGemm -= usecond();
-        BLAS.gemmBatched(GridBLAS_OP_N, GridBLAS_OP_N,
-                         (int)m, (int)nchunk, (int)k,
-                         alpha,    ap, (int)A.ld,
-                                   bp, (int)k,
-                         beta,     cp, (int)C.ld);
-        BLAS.synchronise();
-        tGemm += usecond();
-      }
-    }
-  }
-
-  ///////////////////////////////////////////////////////////////////////////
-  // Local Frobenius norm-squared of a full-height column window.
-  // NO comms; callers GlobalSum the result.  Host staging, setup-scale.
-  ///////////////////////////////////////////////////////////////////////////
-  double FrobNorm2Local(BlockRows &X, int64_t col0, int64_t w)
-  {
-    if ( X.rows == 0 ) return 0.0;
-    GRID_ASSERT( col0 + w <= X.cols );
-    uint64_t len = (uint64_t)X.rows*w;
-    std::vector<ComplexD> h(len);
-    acceleratorCopyFromDevice(X.ColumnWindow(col0), &h[0], len*sizeof(ComplexD));
-    // Member real()/imag(): portable across std::complex (CPU) and
-    // thrust::complex (HIP), where std::norm does not resolve.
-    double s = 0.0;
-    for(uint64_t i=0; i<len; i++)
-    {
-      double re = h[i].real();
-      double im = h[i].imag();
-      s += re*re + im*im;
-    }
-    return s;
-  }
-
-  ///////////////////////////////////////////////////////////////////////////
-  // dst(:, dcol0 : dcol0+w) = - src(:, 0:w).  Both operands have ld == rows
-  // so full-height windows are contiguous: flat elementwise device copy.
-  ///////////////////////////////////////////////////////////////////////////
-  void NegateCopy(BlockRows &src, BlockRows &dst, int64_t dcol0, int64_t w)
-  {
-    GRID_ASSERT( src.rows == dst.rows );
-    GRID_ASSERT( w <= src.cols );
-    GRID_ASSERT( dcol0 + w <= dst.cols );
-    if ( src.rows == 0 ) return;
-    uint64_t len = (uint64_t)src.rows*w;
-    ComplexD *s = &src.data[0];
-    ComplexD *d = dst.ColumnWindow(dcol0);
-    accelerator_for(i, len, 1, {
-      d[i] = -s[i];
-    });
-  }
-
-  ///////////////////////////////////////////////////////////////////////////
-  // Leaf inversion: local, in place on the contiguous diagonal window.
-  // No collectives.
-  ///////////////////////////////////////////////////////////////////////////
-  void LeafInvert(int64_t col0, int64_t width, BlockRows &Arows)
-  {
-    GRID_TRACE("SchurLeaf");
-    GRID_ASSERT( width == Arows.rows );
-    GRID_ASSERT( col0 + width <= Arows.cols );
-    int64_t  w   = width;
-    uint64_t len = (uint64_t)w*w;
-    tLeaf -= usecond();
-
-    deviceVector<ComplexD*> bp(1);
-    std::vector<ComplexD*>  ptr(1);
-    ptr[0] = Arows.ColumnWindow(col0);
-    acceleratorCopyToDevice(&ptr[0], &bp[0], sizeof(ComplexD*));
-    INV.inverseBatched(w, bp);
-
-    // Telemetry: max |element| of the leaf inverse
-    {
-      std::vector<ComplexD> h(len);
-      acceleratorCopyFromDevice(Arows.ColumnWindow(col0), &h[0], len*sizeof(ComplexD));
-      double mx = 0.0;
-      for(uint64_t i=0; i<len; i++)
-      {
-        double re = h[i].real();
-        double im = h[i].imag();
-        mx = std::max(mx, re*re + im*im);
-      }
-      telLeafMaxInv = std::max(telLeafMaxInv, std::sqrt(mx));
-    }
-    tLeaf += usecond();
-  }
-
-  ///////////////////////////////////////////////////////////////////////////
-  // The recursion (plan 3.5 / 4B.3).  Inverts the diagonal block of the
-  // rank-major matrix spanned by ranks [r0, r1), living in every member
-  // rank's column window [col0, col0+width) -- IN PLACE.
-  //
-  // SPMD: every rank calls with IDENTICAL (r0, r1, width) and its own
-  // local (col0, Arows); ranks outside [r0, r1) participate in the
-  // collectives only (dummy operands, zero contributions).  The collective
-  // sequence -- 5 GatherGemm calls + 3 scalar GlobalSums per merge node --
-  // is identical on every rank by construction.
-  //
-  //   I = [r0, mid)   J = [mid, r1)   widths WI, WJ
-  //   1. recurse I:      A11 -> A11inv
-  //   2. B = A11inv.A12                     (I rows)
-  //   3. C = A21.A11inv                     (J rows)
-  //   4. S = A22 - A21.B    in place        (J rows)   [alpha=-1, beta=1]
-  //   5. recurse J:      S -> Sinv
-  //   6. T = Sinv.C                         (J rows)
-  //   7. U = B.Sinv                         (I rows)
-  //   8. X11 = A11inv + U.C  in place       (I rows)   [beta=1]
-  //   9. X12 = -U, X21 = -T  local negates; X22 = Sinv already in place
-  ///////////////////////////////////////////////////////////////////////////
-  void SchurNode(int r0, int r1, int64_t col0, int64_t width, BlockRows &Arows)
-  {
-    int span = r1 - r0;
-    GRID_ASSERT( span >= 1 );
-    GRID_ASSERT( width == rowStart[r1] - rowStart[r0] );
-
-    if ( span == 1 )
-    {
-      if ( ( me == r0 ) && ( myNrows > 0 ) )
-      {
-        LeafInvert(col0, width, Arows);
-      }
-      return;
-    }
-
-    int     mid = ( r0 + r1 ) / 2;
-    int64_t WI  = rowStart[mid] - rowStart[r0];
-    int64_t WJ  = rowStart[r1]  - rowStart[mid];
-
-    // Zero-width child ranges (all ranks of a half owning no rows) are a
-    // KNOWN LIMITATION: fail loudly rather than divide mysteriously.
-    GRID_ASSERT( WI > 0 );
-    GRID_ASSERT( WJ > 0 );
-
-    int inI = ( me >= r0  ) && ( me < mid );
-    int inJ = ( me >= mid ) && ( me < r1  );
-
-    ComplexD one  ( 1.0,0.0);
-    ComplexD mone (-1.0,0.0);
-    ComplexD zero ( 0.0,0.0);
-
-    BlockRows dummy;
-
-    // 1. A11 -> A11inv
-    SchurNode(r0, mid, col0, WI, Arows);
-
-    // 2. B = A11inv . A12   (I rows; gather A12 from I owners)
-    BlockRows Bbuf;
-    if ( inI ) Bbuf.Resize(myNrows, WJ);
-    {
-      BlockRows &Aop = inI ? Arows : dummy;
-      BlockRows &Cop = inI ? Bbuf  : dummy;
-      int64_t    cA  = inI ? col0  : 0;
-      GatherGemm(one, Aop, cA, WI,
-                 r0, mid,
-                 Arows, col0+WI, WJ,
-                 zero, Cop, 0);
-    }
-    double nB = FrobNorm2Local(Bbuf, 0, inI ? WJ : 0);
-    grid->GlobalSumVector(&nB, 1);
-    telNormB.push_back(std::sqrt(nB));
-
-    // 3. C = A21 . A11inv   (J rows; gather A11inv from I owners)
-    BlockRows Cbuf;
-    if ( inJ ) Cbuf.Resize(myNrows, WI);
-    {
-      BlockRows &Aop = inJ ? Arows : dummy;
-      BlockRows &Cop = inJ ? Cbuf  : dummy;
-      int64_t    cA  = inJ ? col0  : 0;
-      GatherGemm(one, Aop, cA, WI,
-                 r0, mid,
-                 Arows, col0, WI,
-                 zero, Cop, 0);
-    }
-
-    // 4. S = A22 - A21 . B  in place on my A22 window (J rows)
-    double nA22 = FrobNorm2Local( inJ ? Arows : dummy, inJ ? col0+WI : 0, inJ ? WJ : 0 );
-    grid->GlobalSumVector(&nA22, 1);
-    {
-      BlockRows &Aop = inJ ? Arows   : dummy;
-      BlockRows &Cop = inJ ? Arows   : dummy;
-      int64_t    cA  = inJ ? col0    : 0;
-      int64_t    cC  = inJ ? col0+WI : 0;
-      GatherGemm(mone, Aop, cA, WI,
-                 r0, mid,
-                 Bbuf, 0, WJ,
-                 one, Cop, cC);
-    }
-    double nS = FrobNorm2Local( inJ ? Arows : dummy, inJ ? col0+WI : 0, inJ ? WJ : 0 );
-    grid->GlobalSumVector(&nS, 1);
-    telSratio.push_back( std::sqrt(nS) / ( std::sqrt(nA22) + 1.0e-300 ) );
-
-    // 5. S -> Sinv
-    SchurNode(mid, r1, col0+WI, WJ, Arows);
-
-    // 6. T = Sinv . C       (J rows; gather C from J owners)
-    BlockRows Tbuf;
-    if ( inJ ) Tbuf.Resize(myNrows, WI);
-    {
-      BlockRows &Aop = inJ ? Arows   : dummy;
-      BlockRows &Cop = inJ ? Tbuf    : dummy;
-      int64_t    cA  = inJ ? col0+WI : 0;
-      GatherGemm(one, Aop, cA, WJ,
-                 mid, r1,
-                 Cbuf, 0, WI,
-                 zero, Cop, 0);
-    }
-
-    // 7. U = B . Sinv       (I rows; gather Sinv from J owners)
-    BlockRows Ubuf;
-    if ( inI ) Ubuf.Resize(myNrows, WJ);
-    {
-      BlockRows &Aop = inI ? Bbuf : dummy;
-      BlockRows &Cop = inI ? Ubuf : dummy;
-      GatherGemm(one, Aop, 0, WJ,
-                 mid, r1,
-                 Arows, col0+WI, WJ,
-                 zero, Cop, 0);
-    }
-
-    // 8. X11 = A11inv + U . C  in place (I rows; gather C from J owners)
-    {
-      BlockRows &Aop = inI ? Ubuf  : dummy;
-      BlockRows &Cop = inI ? Arows : dummy;
-      int64_t    cC  = inI ? col0  : 0;
-      GatherGemm(one, Aop, 0, WJ,
-                 mid, r1,
-                 Cbuf, 0, WI,
-                 one, Cop, cC);
-    }
-
-    // 9. Off-diagonal signs, local
-    if ( inI ) NegateCopy(Ubuf, Arows, col0+WI, WJ);
-    if ( inJ ) NegateCopy(Tbuf, Arows, col0,    WI);
-  }
-
-  ///////////////////////////////////////////////////////////////////////////
-  // PUBLIC ENTRY.  Arows: my rows of the rank-major N x N matrix (fp64).
-  // On exit Arows holds my rows of the inverse, still fp64; the caller
-  // owns the single terminal rounding into its fp32 apply storage.
-  ///////////////////////////////////////////////////////////////////////////
-  void Invert(BlockRows &Arows)
-  {
-    GRID_ASSERT( Arows.rows == myNrows );
-    GRID_ASSERT( Arows.cols == N );
-
-    telNormB.resize(0);
-    telSratio.resize(0);
-    telLeafMaxInv = 0.0;
-
-    tMemset        = 0.0;
-    tDeposit       = 0.0;
-    tAllreduce     = 0.0;
-    tBarrier       = 0.0;
-    tRepack        = 0.0;
-    tGemm          = 0.0;
-    tLeaf          = 0.0;
-    tARmin         = 1.0e30;
-    tARmax         = 0.0;
-    tARall.clear();
-    bytesAllreduce = 0;
-    nAllreduce     = 0;
-    nGatherGemm    = 0;
-    nGather        = 0;
-    nGatherV       = 0;
-    nBcast         = 0;
-
-    SchurNode(0, P, 0, N, Arows);
-
-    RealD mx = telLeafMaxInv;
-    grid->GlobalMax(mx);
-    telLeafMaxInv = mx;
-  }
-
-  // All telemetry values are globally reduced or boss-local; safe to
-  // stream on every rank (Grid quiesces stdout to the boss unless
-  // --debug-stdout).  NOTE: tAllreduce INCLUDES wait/imbalance -- a rank
-  // arriving early books its wait here; the min/max spread across ranks
-  // separates true wire time (~min) from skew (max-min).
-  void ReportTelemetry(void)
-  {
-    for(uint64_t i=0; i<telNormB.size(); i++)
-    {
-      std::cout << GridLogPerformance
-                << "SchurNode " << i
-                << " ||B||_F "       << telNormB[i]
-                << " ||S||/||A22|| " << telSratio[i]
-                << std::endl;
-    }
-    std::cout << GridLogPerformance
-              << "Schur leaves max|Ainv| " << telLeafMaxInv
-              << std::endl;
-
-    RealD armax =  tAllreduce;
-    RealD armin = -tAllreduce;
-    grid->GlobalMax(armax);
-    grid->GlobalMax(armin);
-    armin = -armin;
-
-    std::cout << GridLogMessage << "Schur phases (boss rank, seconds):"
-              << "  memset "    << tMemset/1.0e6
-              << "  deposit "   << tDeposit/1.0e6
-              << "  allreduce " << tAllreduce/1.0e6
-              << "  barrier "   << tBarrier/1.0e6
-              << "  repack "    << tRepack/1.0e6
-              << "  gemm "      << tGemm/1.0e6
-              << "  leaf "      << tLeaf/1.0e6
-              << std::endl;
-    std::cout << GridLogMessage << "Schur comms:"
-              << "  [transports run: allreduce " << (nAllreduce - nGatherV - nBcast)
-              << " allgatherv " << nGatherV << " bcast " << nBcast << "]"
-              << ( barrierProbe ? " [barrier probe on]" : "" )
-              << "  GatherGemm calls " << nGatherGemm
-              << "  panel allreduces " << nAllreduce
-              << "  allreduce GB "     << bytesAllreduce/1024./1024./1024.
-              << "  allreduce s min/max over ranks " << armin/1.0e6
-              << " / " << armax/1.0e6
-              << std::endl;
-    std::cout << GridLogMessage << "Schur comms per-call (boss):"
-              << "  min " << (nAllreduce ? tARmin/1.0e3 : 0.0) << " ms"
-              << "  avg " << (nAllreduce ? tAllreduce/nAllreduce/1.0e3 : 0.0) << " ms"
-              << "  max " << tARmax/1.0e3 << " ms"
-              << "   effective " << (tAllreduce>0 ? bytesAllreduce/tAllreduce*1.0e6/1.0e9 : 0.0)
-              << " GB/s"
-              << std::endl;
-    //////////////////////////////////////////////////////////////////////
-    // Distribution, not just min/avg/max.  A barrier that merely REBOOKS
-    // skew shifts the median; a barrier that suppresses pathological
-    // collectives shortens the tail.  p50 vs p99 separates the two from a
-    // single run, which min/avg/max cannot.
-    //////////////////////////////////////////////////////////////////////
-    if ( tARall.size() ) {
-      std::vector<double> v = tARall;
-      std::sort(v.begin(),v.end());
-      size_t n = v.size();
-      auto pc = [&](double f){ size_t i=(size_t)(f*(n-1)); return v[i]/1.0e3; };
-      double med = pc(0.50);
-      // how much time is spent in calls that are gross outliers
-      double tail=0.0; size_t ntail=0;
-      for(size_t i=0;i<n;i++) if ( v[i] > 4.0*med*1.0e3 ) { tail+=v[i]; ntail++; }
-      std::cout << GridLogMessage << "Schur comms distribution (boss):"
-                << "  p50 "  << med
-                << "  p90 "  << pc(0.90)
-                << "  p99 "  << pc(0.99)
-                << " ms   calls > 4x median: " << ntail << "/" << n
-                << " carrying " << tail/1.0e6 << " s"
-                << std::endl;
-    }
-  }
-};
-
-NAMESPACE_END(Grid);

Grid/allocator/AlignedAllocator.cc

@@ -1,25 +1,84 @@
 #include <Grid/GridCore.h>
 #include <fcntl.h>
 
-NAMESPACE_BEGIN(Grid);
+namespace Grid {
 
 MemoryStats *MemoryProfiler::stats = nullptr;
 bool         MemoryProfiler::debug = false;
 
+int PointerCache::victim;
+
+PointerCache::PointerCacheEntry PointerCache::Entries[PointerCache::Ncache];
+
+void *PointerCache::Insert(void *ptr,size_t bytes) {
+
+  if (bytes < 4096 ) return ptr;
+
+#ifdef GRID_OMP
+  assert(omp_in_parallel()==0);
+#endif 
+
+  void * ret = NULL;
+  int v = -1;
+
+  for(int e=0;e<Ncache;e++) {
+    if ( Entries[e].valid==0 ) {
+      v=e; 
+      break;
+    }
+  }
+
+  if ( v==-1 ) {
+    v=victim;
+    victim = (victim+1)%Ncache;
+  }
+
+  if ( Entries[v].valid ) {
+    ret = Entries[v].address;
+    Entries[v].valid = 0;
+    Entries[v].address = NULL;
+    Entries[v].bytes = 0;
+  }
+
+  Entries[v].address=ptr;
+  Entries[v].bytes  =bytes;
+  Entries[v].valid  =1;
+
+  return ret;
+}
+
+void *PointerCache::Lookup(size_t bytes) {
+
+ if (bytes < 4096 ) return NULL;
+
+#ifdef _OPENMP
+  assert(omp_in_parallel()==0);
+#endif 
+
+  for(int e=0;e<Ncache;e++){
+    if ( Entries[e].valid && ( Entries[e].bytes == bytes ) ) {
+      Entries[e].valid = 0;
+      return Entries[e].address;
+    }
+  }
+  return NULL;
+}
+
+
 void check_huge_pages(void *Buf,uint64_t BYTES)
 {
 #ifdef __linux__
   int fd = open("/proc/self/pagemap", O_RDONLY);
-  GRID_ASSERT(fd >= 0);
+  assert(fd >= 0);
   const int page_size = 4096;
   uint64_t virt_pfn = (uint64_t)Buf / page_size;
   off_t offset = sizeof(uint64_t) * virt_pfn;
   uint64_t npages = (BYTES + page_size-1) / page_size;
-  std::vector<uint64_t> pagedata(npages);
+  uint64_t pagedata[npages];
   uint64_t ret = lseek(fd, offset, SEEK_SET);
-  GRID_ASSERT(ret == offset);
+  assert(ret == offset);
-  ret = ::read(fd, &pagedata[0], sizeof(uint64_t)*npages);
+  ret = ::read(fd, pagedata, sizeof(uint64_t)*npages);
-  GRID_ASSERT(ret == sizeof(uint64_t) * npages);
+  assert(ret == sizeof(uint64_t) * npages);
   int nhugepages = npages / 512;
   int n4ktotal, nnothuge;
   n4ktotal = 0;
@@ -31,7 +90,7 @@ void check_huge_pages(void *Buf,uint64_t BYTES)
       ++n4ktotal;
       if (pageaddr != baseaddr + j * page_size)
 	++nnothuge;
-    }
+      }
   }
   int rank = CartesianCommunicator::RankWorld();
   printf("rank %d Allocated %d 4k pages, %d not in huge pages\n", rank, n4ktotal, nnothuge);
@@ -47,21 +106,20 @@ std::string sizeString(const size_t bytes)
   double                 count = bytes;
   
   while (count >= 1024 && s < 7)
-    {
+  {
       s++;
       count /= 1024;
-    }
+  }
   if (count - floor(count) == 0.0)
-    {
+  {
       snprintf(buf, bufSize, "%d %sB", (int)count, suffixes[s]);
-    }
+  }
   else
-    {
+  {
       snprintf(buf, bufSize, "%.1f %sB", count, suffixes[s]);
-    }
+  }
   
   return std::string(buf);
 }
 
-NAMESPACE_END(Grid);
+}
-

Grid/allocator/AlignedAllocator.h

@@ -24,11 +24,109 @@ Author: Peter Boyle <paboyle@ph.ed.ac.uk>
     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 */
+    /*  END LEGAL */
-#pragma once
+#ifndef GRID_ALIGNED_ALLOCATOR_H
+#define GRID_ALIGNED_ALLOCATOR_H
 
-NAMESPACE_BEGIN(Grid);
+#ifdef HAVE_MALLOC_MALLOC_H
+#include <malloc/malloc.h>
+#endif
+#ifdef HAVE_MALLOC_H
+#include <malloc.h>
+#endif
+
+#ifdef HAVE_MM_MALLOC_H
+#include <mm_malloc.h>
+#endif
+
+namespace Grid {
+
+  class PointerCache {
+  private:
+
+    static const int Ncache=8;
+    static int victim;
+
+    typedef struct { 
+      void *address;
+      size_t bytes;
+      int valid;
+    } PointerCacheEntry;
+    
+    static PointerCacheEntry Entries[Ncache];
+
+  public:
+
+
+    static void *Insert(void *ptr,size_t bytes) ;
+    static void *Lookup(size_t bytes) ;
+
+  };
+  
+  std::string sizeString(size_t bytes);
+
+  struct MemoryStats
+  {
+    size_t totalAllocated{0}, maxAllocated{0}, 
+           currentlyAllocated{0}, totalFreed{0};
+  };
+    
+  class MemoryProfiler
+  {
+  public:
+    static MemoryStats *stats;
+    static bool        debug;
+  };
+
+  #define memString(bytes) std::to_string(bytes) + " (" + sizeString(bytes) + ")"
+  #define profilerDebugPrint \
+  if (MemoryProfiler::stats)\
+  {\
+    auto s = MemoryProfiler::stats;\
+    std::cout << GridLogDebug << "[Memory debug] Stats " << MemoryProfiler::stats << std::endl;\
+    std::cout << GridLogDebug << "[Memory debug] total  : " << memString(s->totalAllocated) \
+              << std::endl;\
+    std::cout << GridLogDebug << "[Memory debug] max    : " << memString(s->maxAllocated) \
+              << std::endl;\
+    std::cout << GridLogDebug << "[Memory debug] current: " << memString(s->currentlyAllocated) \
+              << std::endl;\
+    std::cout << GridLogDebug << "[Memory debug] freed  : " << memString(s->totalFreed) \
+              << std::endl;\
+  }
+
+  #define profilerAllocate(bytes)\
+  if (MemoryProfiler::stats)\
+  {\
+    auto s = MemoryProfiler::stats;\
+    s->totalAllocated     += (bytes);\
+    s->currentlyAllocated += (bytes);\
+    s->maxAllocated        = std::max(s->maxAllocated, s->currentlyAllocated);\
+  }\
+  if (MemoryProfiler::debug)\
+  {\
+    std::cout << GridLogDebug << "[Memory debug] allocating " << memString(bytes) << std::endl;\
+    profilerDebugPrint;\
+  }
+
+  #define profilerFree(bytes)\
+  if (MemoryProfiler::stats)\
+  {\
+    auto s = MemoryProfiler::stats;\
+    s->totalFreed         += (bytes);\
+    s->currentlyAllocated -= (bytes);\
+  }\
+  if (MemoryProfiler::debug)\
+  {\
+    std::cout << GridLogDebug << "[Memory debug] freeing " << memString(bytes) << std::endl;\
+    profilerDebugPrint;\
+  }
+
+  void check_huge_pages(void *Buf,uint64_t BYTES);
+
+////////////////////////////////////////////////////////////////////
+// A lattice of something, but assume the something is SIMDized.
+////////////////////////////////////////////////////////////////////
 
 template<typename _Tp>
 class alignedAllocator {
@@ -53,22 +151,46 @@ public:
   { 
     size_type bytes = __n*sizeof(_Tp);
     profilerAllocate(bytes);
-    _Tp *ptr = (_Tp*) MemoryManager::CpuAllocate(bytes);
+
-    if ( (_Tp*)ptr == (_Tp *) NULL ) {
+    _Tp *ptr = (_Tp *) PointerCache::Lookup(bytes);
-      printf("Grid CPU Allocator got NULL for %lu bytes\n",(unsigned long) bytes );
+    //    if ( ptr != NULL ) 
+    //      std::cout << "alignedAllocator "<<__n << " cache hit "<< std::hex << ptr <<std::dec <<std::endl;
+
+    //////////////////
+    // Hack 2MB align; could make option probably doesn't need configurability
+    //////////////////
+//define GRID_ALLOC_ALIGN (128)
+#define GRID_ALLOC_ALIGN (2*1024*1024)
+#ifdef HAVE_MM_MALLOC_H
+    if ( ptr == (_Tp *) NULL ) ptr = (_Tp *) _mm_malloc(bytes,GRID_ALLOC_ALIGN);
+#else
+    if ( ptr == (_Tp *) NULL ) ptr = (_Tp *) memalign(GRID_ALLOC_ALIGN,bytes);
+#endif
+    //    std::cout << "alignedAllocator " << std::hex << ptr <<std::dec <<std::endl;
+    // First touch optimise in threaded loop
+    uint8_t *cp = (uint8_t *)ptr;
+#ifdef GRID_OMP
+#pragma omp parallel for
+#endif
+    for(size_type n=0;n<bytes;n+=4096){
+      cp[n]=0;
     }
-    GRID_ASSERT( ( (_Tp*)ptr != (_Tp *)NULL ) );
     return ptr;
   }
 
-  void deallocate(pointer __p, size_type __n) 
+  void deallocate(pointer __p, size_type __n) { 
-  { 
     size_type bytes = __n * sizeof(_Tp);
-    profilerFree(bytes);
-    MemoryManager::CpuFree((void *)__p,bytes);
-  }
 
-  // FIXME: hack for the copy constructor: it must be avoided to avoid single thread loop
+    profilerFree(bytes);
+
+    pointer __freeme = (pointer)PointerCache::Insert((void *)__p,bytes);
+
+#ifdef HAVE_MM_MALLOC_H
+    if ( __freeme ) _mm_free((void *)__freeme); 
+#else
+    if ( __freeme ) free((void *)__freeme);
+#endif
+  }
   void construct(pointer __p, const _Tp& __val) { };
   void construct(pointer __p) { };
   void destroy(pointer __p) { };
@@ -76,11 +198,21 @@ public:
 template<typename _Tp>  inline bool operator==(const alignedAllocator<_Tp>&, const alignedAllocator<_Tp>&){ return true; }
 template<typename _Tp>  inline bool operator!=(const alignedAllocator<_Tp>&, const alignedAllocator<_Tp>&){ return false; }
 
-//////////////////////////////////////////////////////////////////////////////////////
+//////////////////////////////////////////////////////////////////////////////////////////
-// Unified virtual memory
+// MPI3 : comms must use shm region
-//////////////////////////////////////////////////////////////////////////////////////
+// SHMEM: comms must use symmetric heap
+//////////////////////////////////////////////////////////////////////////////////////////
+#ifdef GRID_COMMS_SHMEM
+extern "C" { 
+#include <mpp/shmem.h>
+extern void * shmem_align(size_t, size_t);
+extern void  shmem_free(void *);
+}
+#define PARANOID_SYMMETRIC_HEAP
+#endif
+
 template<typename _Tp>
-class uvmAllocator {
+class commAllocator {
 public: 
   typedef std::size_t     size_type;
   typedef std::ptrdiff_t  difference_type;
@@ -90,133 +222,94 @@ public:
   typedef const _Tp& const_reference;
   typedef _Tp        value_type;
 
-  template<typename _Tp1>  struct rebind { typedef uvmAllocator<_Tp1> other; };
+  template<typename _Tp1>  struct rebind { typedef commAllocator<_Tp1> other; };
-  uvmAllocator() throw() { }
+  commAllocator() throw() { }
-  uvmAllocator(const uvmAllocator&) throw() { }
+  commAllocator(const commAllocator&) throw() { }
-  template<typename _Tp1> uvmAllocator(const uvmAllocator<_Tp1>&) throw() { }
+  template<typename _Tp1> commAllocator(const commAllocator<_Tp1>&) throw() { }
-  ~uvmAllocator() throw() { }
+  ~commAllocator() throw() { }
   pointer       address(reference __x)       const { return &__x; }
   size_type  max_size() const throw() { return size_t(-1) / sizeof(_Tp); }
 
+#ifdef GRID_COMMS_SHMEM
   pointer allocate(size_type __n, const void* _p= 0)
   {
     size_type bytes = __n*sizeof(_Tp);
+
     profilerAllocate(bytes);
-    _Tp *ptr = (_Tp*) MemoryManager::SharedAllocate(bytes);
+#ifdef CRAY
-    if ( (_Tp*)ptr == (_Tp *) NULL ) {
+    _Tp *ptr = (_Tp *) shmem_align(bytes,64);
-      printf("Grid Shared Allocator got NULL for %lu bytes\n",(unsigned long) bytes );
+#else
+    _Tp *ptr = (_Tp *) shmem_align(64,bytes);
+#endif
+#ifdef PARANOID_SYMMETRIC_HEAP
+    static void * bcast;
+    static long  psync[_SHMEM_REDUCE_SYNC_SIZE];
+
+    bcast = (void *) ptr;
+    shmem_broadcast32((void *)&bcast,(void *)&bcast,sizeof(void *)/4,0,0,0,shmem_n_pes(),psync);
+
+    if ( bcast != ptr ) {
+      std::printf("inconsistent alloc pe %d %lx %lx \n",shmem_my_pe(),bcast,ptr);std::fflush(stdout);
+      //      BACKTRACEFILE();
+      exit(0);
     }
-    GRID_ASSERT( ( (_Tp*)ptr != (_Tp *)NULL ) );
+    assert( bcast == (void *) ptr);
+#endif 
     return ptr;
   }
+  void deallocate(pointer __p, size_type __n) { 
+    size_type bytes = __n*sizeof(_Tp);
 
-  void deallocate(pointer __p, size_type __n) 
-  { 
-    size_type bytes = __n * sizeof(_Tp);
     profilerFree(bytes);
-    MemoryManager::SharedFree((void *)__p,bytes);
+    shmem_free((void *)__p);
   }
-
+#else
-  void construct(pointer __p, const _Tp& __val) { new((void *)__p) _Tp(__val); };
-  void construct(pointer __p) { };
-  void destroy(pointer __p) { };
-};
-template<typename _Tp>  inline bool operator==(const uvmAllocator<_Tp>&, const uvmAllocator<_Tp>&){ return true; }
-template<typename _Tp>  inline bool operator!=(const uvmAllocator<_Tp>&, const uvmAllocator<_Tp>&){ return false; }
-
-////////////////////////////////////////////////////////////////////////////////
-// Device memory
-////////////////////////////////////////////////////////////////////////////////
-template<typename _Tp>
-class devAllocator {
-public: 
-  typedef std::size_t     size_type;
-  typedef std::ptrdiff_t  difference_type;
-  typedef _Tp*       pointer;
-  typedef const _Tp* const_pointer;
-  typedef _Tp&       reference;
-  typedef const _Tp& const_reference;
-  typedef _Tp        value_type;
-
-  template<typename _Tp1>  struct rebind { typedef devAllocator<_Tp1> other; };
-  devAllocator() throw() { }
-  devAllocator(const devAllocator&) throw() { }
-  template<typename _Tp1> devAllocator(const devAllocator<_Tp1>&) throw() { }
-  ~devAllocator() throw() { }
-  pointer       address(reference __x)       const { return &__x; }
-  size_type  max_size() const throw() { return size_t(-1) / sizeof(_Tp); }
-
   pointer allocate(size_type __n, const void* _p= 0) 
   {
     size_type bytes = __n*sizeof(_Tp);
+    
     profilerAllocate(bytes);
-    _Tp *ptr = (_Tp*) MemoryManager::AcceleratorAllocate(bytes);
+#ifdef HAVE_MM_MALLOC_H
-    if ( (_Tp*)ptr == (_Tp *) NULL ) {
+    _Tp * ptr = (_Tp *) _mm_malloc(bytes, GRID_ALLOC_ALIGN);
-      printf("Grid Device Allocator got NULL for %lu bytes\n",(unsigned long) bytes );
+#else
+    _Tp * ptr = (_Tp *) memalign(GRID_ALLOC_ALIGN, bytes);
+#endif
+    uint8_t *cp = (uint8_t *)ptr;
+    if ( ptr ) { 
+    // One touch per 4k page, static OMP loop to catch same loop order
+#ifdef GRID_OMP
+#pragma omp parallel for schedule(static)
+#endif
+      for(size_type n=0;n<bytes;n+=4096){
+	cp[n]=0;
+      }
     }
-    GRID_ASSERT( ( (_Tp*)ptr != (_Tp *)NULL ) );
     return ptr;
   }
+  void deallocate(pointer __p, size_type __n) {
+    size_type bytes = __n*sizeof(_Tp);
 
-  void deallocate(pointer __p, size_type __n) 
-  { 
-    size_type bytes = __n * sizeof(_Tp);
     profilerFree(bytes);
-    MemoryManager::AcceleratorFree((void *)__p,bytes);
+#ifdef HAVE_MM_MALLOC_H
+    _mm_free((void *)__p); 
+#else
+    free((void *)__p);
+#endif
   }
+#endif
   void construct(pointer __p, const _Tp& __val) { };
   void construct(pointer __p) { };
   void destroy(pointer __p) { };
 };
-template<typename _Tp>  inline bool operator==(const devAllocator<_Tp>&, const devAllocator<_Tp>&){ return true; }
+template<typename _Tp>  inline bool operator==(const commAllocator<_Tp>&, const commAllocator<_Tp>&){ return true; }
-template<typename _Tp>  inline bool operator!=(const devAllocator<_Tp>&, const devAllocator<_Tp>&){ return false; }
+template<typename _Tp>  inline bool operator!=(const commAllocator<_Tp>&, const commAllocator<_Tp>&){ return false; }
 
 ////////////////////////////////////////////////////////////////////////////////
 // Template typedefs
 ////////////////////////////////////////////////////////////////////////////////
-template<class T> using hostVector          = std::vector<T,alignedAllocator<T> >;           // Needs autoview
+template<class T> using Vector     = std::vector<T,alignedAllocator<T> >;           
-template<class T> using Vector              = std::vector<T,uvmAllocator<T> >;               // Really want to deprecate
+template<class T> using commVector = std::vector<T,commAllocator<T> >;              
-template<class T> using uvmVector           = std::vector<T,uvmAllocator<T> >;               // auto migrating page
+template<class T> using Matrix     = std::vector<std::vector<T,alignedAllocator<T> > >;
-template<class T> using deviceVector        = std::vector<T,devAllocator<T> >;               // device vector
-
-/*
-template<class T> class vecView
-{
- protected:
-  T * data;
-  uint64_t size;
-  ViewMode mode;
-  void * cpu_ptr;
- public:
-  // Rvalue accessor
-  accelerator_inline T & operator[](size_t i) const { return this->data[i]; };
-  vecView(Vector<T> &refer_to_me,ViewMode _mode)
-  {
-    cpu_ptr = &refer_to_me[0];
-    size = refer_to_me.size();
-    mode = _mode;
-    data =(T *) MemoryManager::ViewOpen(cpu_ptr,
-					size*sizeof(T),
-					mode,
-					AdviseDefault);
-  }
-  void ViewClose(void)
-  { // Inform the manager
-    MemoryManager::ViewClose(this->cpu_ptr,this->mode);    
-  }
-};
-
-template<class T> vecView<T> VectorView(Vector<T> &vec,ViewMode _mode)
-{
-  vecView<T> ret(vec,_mode); // does the open
-  return ret;                // must be closed
-}
-
-#define autoVecView(v_v,v,mode)					\
-  auto v_v = VectorView(v,mode);				\
-  ViewCloser<decltype(v_v)> _autoView##v_v(v_v);
-*/
-
-NAMESPACE_END(Grid);
-
     
+}; // namespace Grid
+#endif

Grid/allocator/Allocator.h

@@ -1,4 +0,0 @@
-#pragma once
-#include <Grid/allocator/MemoryStats.h>
-#include <Grid/allocator/MemoryManager.h>
-#include <Grid/allocator/AlignedAllocator.h>

Grid/allocator/MemoryManager.cc

@@ -1,360 +0,0 @@
-#include <Grid/GridCore.h>
-
-NAMESPACE_BEGIN(Grid);
-
-/*Allocation types, saying which pointer cache should be used*/
-#define Cpu      (0)
-#define CpuHuge  (1)
-#define CpuSmall (2)
-#define Acc      (3)
-#define AccHuge  (4)
-#define AccSmall (5)
-#define Shared   (6)
-#define SharedHuge  (7)
-#define SharedSmall (8)
-#undef GRID_MM_VERBOSE 
-uint64_t total_shared;
-uint64_t total_device;
-uint64_t total_host;;
-
-#if defined(__has_feature)
-#if __has_feature(leak_sanitizer)
-#define ASAN_LEAK_CHECK
-#endif
-#endif
-
-#ifdef ASAN_LEAK_CHECK
-#include <sanitizer/asan_interface.h>
-#include <sanitizer/common_interface_defs.h>
-#include <sanitizer/lsan_interface.h>
-#define LEAK_CHECK(A) { __lsan_do_recoverable_leak_check(); }
-#else
-#define LEAK_CHECK(A) { }
-#endif
-
-void MemoryManager::DisplayMallinfo(void)
-{
-#ifdef __linux__
-  struct mallinfo mi; // really want mallinfo2, but glibc version isn't uniform
-  
-  mi = mallinfo();
-
-  std::cout << "MemoryManager: Total non-mmapped bytes (arena):       "<< (size_t)mi.arena<<std::endl;
-  std::cout << "MemoryManager: # of free chunks (ordblks):            "<< (size_t)mi.ordblks<<std::endl;
-  std::cout << "MemoryManager: # of free fastbin blocks (smblks):     "<< (size_t)mi.smblks<<std::endl;
-  std::cout << "MemoryManager: # of mapped regions (hblks):           "<< (size_t)mi.hblks<<std::endl;
-  std::cout << "MemoryManager: Bytes in mapped regions (hblkhd):      "<< (size_t)mi.hblkhd<<std::endl;
-  std::cout << "MemoryManager: Max. total allocated space (usmblks):  "<< (size_t)mi.usmblks<<std::endl;
-  std::cout << "MemoryManager: Free bytes held in fastbins (fsmblks): "<< (size_t)mi.fsmblks<<std::endl;
-  std::cout << "MemoryManager: Total allocated space (uordblks):      "<< (size_t)mi.uordblks<<std::endl;
-  std::cout << "MemoryManager: Total free space (fordblks):           "<< (size_t)mi.fordblks<<std::endl;
-  std::cout << "MemoryManager: Topmost releasable block (keepcost):   "<< (size_t)mi.keepcost<<std::endl;
-#endif
-  LEAK_CHECK();
- 
-}
-
-void MemoryManager::PrintBytes(void)
-{
-  std::cout << " MemoryManager : ------------------------------------ "<<std::endl;
-  std::cout << " MemoryManager : PrintBytes "<<std::endl;
-  std::cout << " MemoryManager : ------------------------------------ "<<std::endl;
-  std::cout << " MemoryManager : "<<(total_shared>>20)<<" shared      Mbytes "<<std::endl;
-  std::cout << " MemoryManager : "<<(total_device>>20)<<" accelerator Mbytes "<<std::endl;
-  std::cout << " MemoryManager : "<<(total_host>>20)  <<" cpu         Mbytes "<<std::endl;
-  uint64_t cacheBytes;
-  cacheBytes = HostCacheBytes();
-  std::cout << " MemoryManager : "<<(cacheBytes>>20) <<" cpu alloc cache Mbytes "<<std::endl;
-  cacheBytes = DeviceCacheBytes();
-  std::cout << " MemoryManager : "<<(cacheBytes>>20) <<" acc alloc cache Mbytes "<<std::endl;
-  
-#ifdef GRID_CUDA
-  cuda_mem();
-#endif
-  DisplayMallinfo();
-}
-
-uint64_t MemoryManager::DeviceCacheBytes() { return CacheBytes[Acc] + CacheBytes[AccHuge] + CacheBytes[AccSmall]; }
-uint64_t MemoryManager::HostCacheBytes()   { return CacheBytes[Cpu] + CacheBytes[CpuHuge] + CacheBytes[CpuSmall]; }
-
-//////////////////////////////////////////////////////////////////////
-// Data tables for recently freed pooiniter caches
-//////////////////////////////////////////////////////////////////////
-MemoryManager::AllocationCacheEntry MemoryManager::Entries[MemoryManager::NallocType][MemoryManager::NallocCacheMax];
-int MemoryManager::Victim[MemoryManager::NallocType];
-int MemoryManager::Ncache[MemoryManager::NallocType] = { 2, 0, 8, 8, 0, 16, 8, 0, 16 };
-uint64_t MemoryManager::CacheBytes[MemoryManager::NallocType];
-//////////////////////////////////////////////////////////////////////
-// Actual allocation and deallocation utils
-//////////////////////////////////////////////////////////////////////
-void *MemoryManager::AcceleratorAllocate(size_t bytes)
-{
-  total_device+=bytes;
-  void *ptr = (void *) Lookup(bytes,Acc);
-  if ( ptr == (void *) NULL ) {
-    ptr = (void *) acceleratorAllocDevice(bytes);
-  }
-#ifdef GRID_MM_VERBOSE
-  std::cout <<"AcceleratorAllocate "<<std::endl;
-  PrintBytes();
-#endif
-  return ptr;
-}
-void  MemoryManager::AcceleratorFree    (void *ptr,size_t bytes)
-{
-  total_device-=bytes;
-  void *__freeme = Insert(ptr,bytes,Acc);
-  if ( __freeme ) {
-    acceleratorFreeDevice(__freeme);
-  }
-#ifdef GRID_MM_VERBOSE
-  std::cout <<"AcceleratorFree "<<std::endl;
-  PrintBytes();
-#endif
-}
-void *MemoryManager::SharedAllocate(size_t bytes)
-{
-  total_shared+=bytes;
-  void *ptr = (void *) Lookup(bytes,Shared);
-  if ( ptr == (void *) NULL ) {
-    ptr = (void *) acceleratorAllocShared(bytes);
-  }
-#ifdef GRID_MM_VERBOSE
-  std::cout <<"SharedAllocate "<<std::endl;
-  PrintBytes();
-#endif
-  return ptr;
-}
-void  MemoryManager::SharedFree    (void *ptr,size_t bytes)
-{
-  total_shared-=bytes;
-  void *__freeme = Insert(ptr,bytes,Shared);
-  if ( __freeme ) {
-    acceleratorFreeShared(__freeme);
-  }
-#ifdef GRID_MM_VERBOSE
-  std::cout <<"SharedFree "<<std::endl;
-  PrintBytes();
-#endif
-}
-#ifdef GRID_UVM
-void *MemoryManager::CpuAllocate(size_t bytes)
-{
-  total_host+=bytes;
-  void *ptr = (void *) Lookup(bytes,Cpu);
-  if ( ptr == (void *) NULL ) {
-    ptr = (void *) acceleratorAllocShared(bytes);
-  }
-#ifdef GRID_MM_VERBOSE
-  std::cout <<"CpuAllocate "<<std::endl;
-  PrintBytes();
-#endif
-  return ptr;
-}
-void  MemoryManager::CpuFree    (void *_ptr,size_t bytes)
-{
-  total_host-=bytes;
-  NotifyDeletion(_ptr);
-  void *__freeme = Insert(_ptr,bytes,Cpu);
-  if ( __freeme ) { 
-    acceleratorFreeShared(__freeme);
-  }
-#ifdef GRID_MM_VERBOSE
-  std::cout <<"CpuFree "<<std::endl;
-  PrintBytes();
-#endif
-}
-#else
-void *MemoryManager::CpuAllocate(size_t bytes)
-{
-  total_host+=bytes;
-  void *ptr = (void *) Lookup(bytes,Cpu);
-  if ( ptr == (void *) NULL ) {
-    ptr = (void *) acceleratorAllocCpu(bytes);
-  }
-#ifdef GRID_MM_VERBOSE
-  std::cout <<"CpuAllocate "<<std::endl;
-  PrintBytes();
-#endif
-  return ptr;
-}
-void  MemoryManager::CpuFree    (void *_ptr,size_t bytes)
-{
-  total_host-=bytes;
-  NotifyDeletion(_ptr);
-  void *__freeme = Insert(_ptr,bytes,Cpu);
-  if ( __freeme ) { 
-    acceleratorFreeCpu(__freeme);
-  }
-#ifdef GRID_MM_VERBOSE
-  std::cout <<"CpuFree "<<std::endl;
-  PrintBytes();
-#endif
-}
-#endif
-
-//////////////////////////////////////////
-// call only once
-//////////////////////////////////////////
-void MemoryManager::Init(void)
-{
-
-  char * str;
-  int Nc;
-  
-  str= getenv("GRID_ALLOC_NCACHE_LARGE");
-  if ( str ) {
-    Nc = atoi(str);
-    if ( (Nc>=0) && (Nc < NallocCacheMax)) {
-      Ncache[Cpu]=Nc;
-      Ncache[Acc]=Nc;
-      Ncache[Shared]=Nc;
-    }
-  }
-
-  str= getenv("GRID_ALLOC_NCACHE_HUGE");
-  if ( str ) {
-    Nc = atoi(str);
-    if ( (Nc>=0) && (Nc < NallocCacheMax)) {
-      Ncache[CpuHuge]=Nc;
-      Ncache[AccHuge]=Nc;
-      Ncache[SharedHuge]=Nc;
-    }
-  }
-
-  str= getenv("GRID_ALLOC_NCACHE_SMALL");
-  if ( str ) {
-    Nc = atoi(str);
-    if ( (Nc>=0) && (Nc < NallocCacheMax)) {
-      Ncache[CpuSmall]=Nc;
-      Ncache[AccSmall]=Nc;
-      Ncache[SharedSmall]=Nc;
-    }
-  }
-
-}
-
-void MemoryManager::InitMessage(void) {
-
-#ifndef GRID_UVM
-  std::cout << GridLogMessage << "MemoryManager Cache "<< MemoryManager::DeviceMaxBytes <<" bytes "<<std::endl;
-#endif
-  
-  std::cout << GridLogMessage<< "MemoryManager::Init() setting up"<<std::endl;
-#ifdef ALLOCATION_CACHE
-  std::cout << GridLogMessage<< "MemoryManager::Init() cache pool for recent host   allocations: SMALL "<<Ncache[CpuSmall]<<" LARGE "<<Ncache[Cpu]<<" HUGE "<<Ncache[CpuHuge]<<std::endl;
-  std::cout << GridLogMessage<< "MemoryManager::Init() cache pool for recent device allocations: SMALL "<<Ncache[AccSmall]<<" LARGE "<<Ncache[Acc]<<" Huge "<<Ncache[AccHuge]<<std::endl;
-  std::cout << GridLogMessage<< "MemoryManager::Init() cache pool for recent shared allocations: SMALL "<<Ncache[SharedSmall]<<" LARGE "<<Ncache[Shared]<<" Huge "<<Ncache[SharedHuge]<<std::endl;
-#endif
-  
-#ifdef GRID_UVM
-  std::cout << GridLogMessage<< "MemoryManager::Init() Unified memory space"<<std::endl;
-#ifdef GRID_CUDA
-  std::cout << GridLogMessage<< "MemoryManager::Init() Using cudaMallocManaged"<<std::endl;
-#endif
-#ifdef GRID_HIP
-  std::cout << GridLogMessage<< "MemoryManager::Init() Using hipMallocManaged"<<std::endl;
-#endif
-#ifdef GRID_SYCL
-  std::cout << GridLogMessage<< "MemoryManager::Init() Using SYCL malloc_shared"<<std::endl;
-#endif
-#else
-  std::cout << GridLogMessage<< "MemoryManager::Init() Non unified: Caching accelerator data in dedicated memory"<<std::endl;
-#ifdef GRID_CUDA
-  std::cout << GridLogMessage<< "MemoryManager::Init() Using cudaMalloc"<<std::endl;
-#endif
-#ifdef GRID_HIP
-  std::cout << GridLogMessage<< "MemoryManager::Init() Using hipMalloc"<<std::endl;
-#endif
-#ifdef GRID_SYCL
-  std::cout << GridLogMessage<< "MemoryManager::Init() Using SYCL malloc_device"<<std::endl;
-#endif
-#endif
-
-}
-
-void *MemoryManager::Insert(void *ptr,size_t bytes,int type) 
-{
-#ifdef ALLOCATION_CACHE
-  int cache;
-  if      (bytes < GRID_ALLOC_SMALL_LIMIT) cache = type + 2;
-  else if (bytes >= GRID_ALLOC_HUGE_LIMIT) cache = type + 1;
-  else                                     cache = type;
-
-  return Insert(ptr,bytes,Entries[cache],Ncache[cache],Victim[cache],CacheBytes[cache]);  
-#else
-  return ptr;
-#endif
-}
-
-void *MemoryManager::Insert(void *ptr,size_t bytes,AllocationCacheEntry *entries,int ncache,int &victim, uint64_t &cacheBytes) 
-{
-#ifdef GRID_OMP
-  GRID_ASSERT(omp_in_parallel()==0);
-#endif 
-
-  if (ncache == 0) return ptr;
-
-  void * ret = NULL;
-  int v = -1;
-
-  for(int e=0;e<ncache;e++) {
-    if ( entries[e].valid==0 ) {
-      v=e; 
-      break;
-    }
-  }
-
-  if ( v==-1 ) {
-    v=victim;
-    victim = (victim+1)%ncache;
-  }
-
-  if ( entries[v].valid ) {
-    ret = entries[v].address;
-    cacheBytes -= entries[v].bytes;
-    entries[v].valid = 0;
-    entries[v].address = NULL;
-    entries[v].bytes = 0;
-  }
-
-  entries[v].address=ptr;
-  entries[v].bytes  =bytes;
-  entries[v].valid  =1;
-  cacheBytes += bytes;
-
-  return ret;
-}
-
-void *MemoryManager::Lookup(size_t bytes,int type)
-{
-#ifdef ALLOCATION_CACHE
-  int cache;
-  if      (bytes < GRID_ALLOC_SMALL_LIMIT) cache = type + 2;
-  else if (bytes >= GRID_ALLOC_HUGE_LIMIT) cache = type + 1;
-  else                                     cache = type;
-
-  return Lookup(bytes,Entries[cache],Ncache[cache],CacheBytes[cache]);
-#else
-  return NULL;
-#endif
-}
-
-void *MemoryManager::Lookup(size_t bytes,AllocationCacheEntry *entries,int ncache,uint64_t & cacheBytes) 
-{
-#ifdef GRID_OMP
-  GRID_ASSERT(omp_in_parallel()==0);
-#endif 
-  for(int e=0;e<ncache;e++){
-    if ( entries[e].valid && ( entries[e].bytes == bytes ) ) {
-      entries[e].valid = 0;
-      cacheBytes -= entries[e].bytes;
-      return entries[e].address;
-    }
-  }
-  return NULL;
-}
-
-
-NAMESPACE_END(Grid);
-

Grid/allocator/MemoryManager.h

@@ -1,228 +0,0 @@
-/*************************************************************************************
-
-    Grid physics library, www.github.com/paboyle/Grid 
-
-    Source file: ./lib/MemoryManager.h
-
-    Copyright (C) 2015
-
-Author: Azusa Yamaguchi <ayamaguc@staffmail.ed.ac.uk>
-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 */
-#pragma once
-#include <list> 
-#include <unordered_map>  
-
-NAMESPACE_BEGIN(Grid);
-
-// Move control to configure.ac and Config.h?
-
-#define GRID_ALLOC_SMALL_LIMIT (4096)
-#define GRID_ALLOC_HUGE_LIMIT  (2147483648)
-
-#define STRINGIFY(x) #x
-#define TOSTRING(x) STRINGIFY(x)
-#define FILE_LINE __FILE__ ":" TOSTRING(__LINE__)
-#define AUDIT(a) MemoryManager::Audit(FILE_LINE)
-
-/*Pinning pages is costly*/
-////////////////////////////////////////////////////////////////////////////
-// Advise the LatticeAccelerator class
-////////////////////////////////////////////////////////////////////////////
-enum ViewAdvise {
- AdviseDefault       = 0x0,    // Regular data
- AdviseInfrequentUse = 0x1     // Advise that the data is used infrequently.  This can
-                               // significantly influence performance of bulk storage.
- 
- // AdviseTransient      = 0x2,   // Data will mostly be read.  On some architectures
-                               // enables read-only copies of memory to be kept on
-                               // host and device.
-
- // AdviseAcceleratorWriteDiscard = 0x4  // Field will be written in entirety on device
-
-};
-
-////////////////////////////////////////////////////////////////////////////
-// View Access Mode
-////////////////////////////////////////////////////////////////////////////
-enum ViewMode {
-  AcceleratorRead  = 0x01,
-  AcceleratorWrite = 0x02,
-  AcceleratorWriteDiscard = 0x04,
-  CpuRead  = 0x08,
-  CpuWrite = 0x10,
-  CpuWriteDiscard = 0x10 // same for now
-};
-
-struct MemoryStatus {
-  uint64_t     DeviceBytes;
-  uint64_t     DeviceLRUBytes;
-  uint64_t     DeviceMaxBytes;
-  uint64_t     HostToDeviceBytes;
-  uint64_t     DeviceToHostBytes;
-  uint64_t     HostToDeviceXfer;
-  uint64_t     DeviceToHostXfer;
-  uint64_t     DeviceEvictions;
-  uint64_t     DeviceDestroy;
-  uint64_t     DeviceAllocCacheBytes;
-  uint64_t     HostAllocCacheBytes;
-};
-
-
-class MemoryManager {
-private:
-
-  ////////////////////////////////////////////////////////////
-  // For caching recently freed allocations
-  ////////////////////////////////////////////////////////////
-  typedef struct { 
-    void *address;
-    size_t bytes;
-    int valid;
-  } AllocationCacheEntry;
-
-  static const int NallocCacheMax=128; 
-  static const int NallocType=9;
-  static AllocationCacheEntry Entries[NallocType][NallocCacheMax];
-  static int Victim[NallocType];
-  static int Ncache[NallocType];
-  static uint64_t CacheBytes[NallocType];
-
-  /////////////////////////////////////////////////
-  // Free pool
-  /////////////////////////////////////////////////
-  static void *Insert(void *ptr,size_t bytes,int type) ;
-  static void *Lookup(size_t bytes,int type) ;
-  static void *Insert(void *ptr,size_t bytes,AllocationCacheEntry *entries,int ncache,int &victim,uint64_t &cbytes) ;
-  static void *Lookup(size_t bytes,AllocationCacheEntry *entries,int ncache,uint64_t &cbytes) ;
-
-public:  
-  static void PrintBytes(void);
-  static void Audit(std::string s);
-  static void Init(void);
-  static void InitMessage(void);
-  static void *AcceleratorAllocate(size_t bytes);
-  static void  AcceleratorFree    (void *ptr,size_t bytes);
-  static void *SharedAllocate(size_t bytes);
-  static void  SharedFree    (void *ptr,size_t bytes);
-  static void *CpuAllocate(size_t bytes);
-  static void  CpuFree    (void *ptr,size_t bytes);
-
-  ////////////////////////////////////////////////////////
-  // Footprint tracking
-  ////////////////////////////////////////////////////////
-  static uint64_t     DeviceBytes;
-  static uint64_t     DeviceLRUBytes;
-  static uint64_t     DeviceMaxBytes;
-  static uint64_t     HostToDeviceBytes;
-  static uint64_t     DeviceToHostBytes;
-  static uint64_t     HostToDeviceXfer;
-  static uint64_t     DeviceToHostXfer;
-  static uint64_t     DeviceEvictions;
-  static uint64_t     DeviceDestroy;
-  
-  static uint64_t     DeviceCacheBytes();
-  static uint64_t     HostCacheBytes();
-
-  static MemoryStatus GetFootprint(void) {
-    MemoryStatus stat;
-    stat.DeviceBytes       = DeviceBytes;
-    stat.DeviceLRUBytes    = DeviceLRUBytes;
-    stat.DeviceMaxBytes    = DeviceMaxBytes;
-    stat.HostToDeviceBytes = HostToDeviceBytes;
-    stat.DeviceToHostBytes = DeviceToHostBytes;
-    stat.HostToDeviceXfer  = HostToDeviceXfer;
-    stat.DeviceToHostXfer  = DeviceToHostXfer;
-    stat.DeviceEvictions   = DeviceEvictions;
-    stat.DeviceDestroy     = DeviceDestroy;
-    stat.DeviceAllocCacheBytes = DeviceCacheBytes();
-    stat.HostAllocCacheBytes   = HostCacheBytes();
-    return stat;
-  };
-  
- private:
-#ifndef GRID_UVM
-  //////////////////////////////////////////////////////////////////////
-  // Data tables for ViewCache
-  //////////////////////////////////////////////////////////////////////
-  typedef std::list<uint64_t> LRU_t;
-  typedef typename LRU_t::iterator LRUiterator;
-  typedef struct { 
-    int        LRU_valid;
-    LRUiterator LRU_entry;
-    uint64_t CpuPtr;
-    uint64_t AccPtr;
-    size_t   bytes;
-    uint32_t transient;
-    uint32_t state;
-    uint32_t accLock;
-    uint32_t cpuLock;
-  } AcceleratorViewEntry;
-  
-  typedef std::unordered_map<uint64_t,AcceleratorViewEntry> AccViewTable_t;
-  typedef typename AccViewTable_t::iterator AccViewTableIterator ;
-
-  static AccViewTable_t AccViewTable;
-  static LRU_t LRU;
-
-  /////////////////////////////////////////////////
-  // Device motion
-  /////////////////////////////////////////////////
-  static void  Create(uint64_t CpuPtr,size_t bytes,ViewMode mode,ViewAdvise hint);
-  static void  EvictVictims(uint64_t bytes); // Frees up <bytes>
-  static void  Evict(AcceleratorViewEntry &AccCache);
-  static void  Flush(AcceleratorViewEntry &AccCache);
-  static void  Clone(AcceleratorViewEntry &AccCache);
-  static void  AccDiscard(AcceleratorViewEntry &AccCache);
-  static void  CpuDiscard(AcceleratorViewEntry &AccCache);
-
-  //  static void  LRUupdate(AcceleratorViewEntry &AccCache);
-  static void  LRUinsert(AcceleratorViewEntry &AccCache);
-  static void  LRUremove(AcceleratorViewEntry &AccCache);
-  
-  // manage entries in the table
-  static int                  EntryPresent(uint64_t CpuPtr);
-  static void                 EntryCreate(uint64_t CpuPtr,size_t bytes,ViewMode mode,ViewAdvise hint);
-  static void                 EntryErase (uint64_t CpuPtr);
-  static AccViewTableIterator EntryLookup(uint64_t CpuPtr);
-  static void                 EntrySet   (uint64_t CpuPtr,AcceleratorViewEntry &entry);
-
-  static void     AcceleratorViewClose(uint64_t AccPtr);
-  static uint64_t AcceleratorViewOpen(uint64_t  CpuPtr,size_t bytes,ViewMode mode,ViewAdvise hint);
-  static void     CpuViewClose(uint64_t Ptr);
-  static uint64_t CpuViewOpen(uint64_t  CpuPtr,size_t bytes,ViewMode mode,ViewAdvise hint);
-#endif
-
- public:
-  static void DisplayMallinfo(void);
-  static void NotifyDeletion(void * CpuPtr);
-  static void Print(void);
-  static void PrintAll(void);
-  static void EvictAll(void);
-  static void PrintState( void* CpuPtr);
-  static int   isOpen   (void* CpuPtr);
-  static void  ViewClose(void* CpuPtr,ViewMode mode);
-  static void *ViewOpen (void* CpuPtr,size_t bytes,ViewMode mode,ViewAdvise hint);
-
-};
-
-NAMESPACE_END(Grid);
-
-

Grid/allocator/MemoryManagerCache.cc

@@ -1,653 +0,0 @@
-#include <Grid/GridCore.h>
-#ifndef GRID_UVM
-
-NAMESPACE_BEGIN(Grid);
-
-#define MAXLINE 512
-static char print_buffer [ MAXLINE ];
-
-#define mprintf(...) snprintf (print_buffer,MAXLINE, __VA_ARGS__ ); std::cout << GridLogMemory << print_buffer << std::endl;
-#define dprintf(...) snprintf (print_buffer,MAXLINE, __VA_ARGS__ ); std::cout << GridLogDebug  << print_buffer << std::endl;
-//#define dprintf(...) 
-//#define mprintf(...) 
-
-////////////////////////////////////////////////////////////
-// For caching copies of data on device
-////////////////////////////////////////////////////////////
-MemoryManager::AccViewTable_t MemoryManager::AccViewTable;
-MemoryManager::LRU_t MemoryManager::LRU;
-  
-////////////////////////////////////////////////////////
-// Footprint tracking
-////////////////////////////////////////////////////////
-uint64_t  MemoryManager::DeviceBytes;
-uint64_t  MemoryManager::DeviceLRUBytes;
-uint64_t  MemoryManager::DeviceMaxBytes = 1024*1024*128;
-uint64_t  MemoryManager::HostToDeviceBytes;
-uint64_t  MemoryManager::DeviceToHostBytes;
-uint64_t  MemoryManager::HostToDeviceXfer;
-uint64_t  MemoryManager::DeviceToHostXfer;
-uint64_t  MemoryManager::DeviceEvictions;
-uint64_t  MemoryManager::DeviceDestroy;
-
-////////////////////////////////////
-// Priority ordering for unlocked entries
-//  Empty
-//  CpuDirty 
-//  Consistent
-//  AccDirty
-////////////////////////////////////
-#define Empty         (0x0)  /*Entry unoccupied  */
-#define CpuDirty      (0x1)  /*CPU copy is golden, Acc buffer MAY not be allocated*/
-#define Consistent    (0x2)  /*ACC copy AND CPU copy are valid */
-#define AccDirty      (0x4)  /*ACC copy is golden */
-#define EvictNext     (0x8)  /*Priority for eviction*/
-
-/////////////////////////////////////////////////
-// Mechanics of data table maintenance
-/////////////////////////////////////////////////
-int   MemoryManager::EntryPresent(uint64_t CpuPtr)
-{
-  if(AccViewTable.empty()) return 0;
-
-  auto count = AccViewTable.count(CpuPtr);  GRID_ASSERT((count==0)||(count==1));
-  return count;
-}
-void  MemoryManager::EntryCreate(uint64_t CpuPtr,size_t bytes,ViewMode mode,ViewAdvise hint)
-{
-  GRID_ASSERT(!EntryPresent(CpuPtr));
-  AcceleratorViewEntry AccCache;
-  AccCache.CpuPtr = CpuPtr;
-  AccCache.AccPtr = (uint64_t)NULL;
-  AccCache.bytes  = bytes;
-  AccCache.state  = CpuDirty;
-  AccCache.LRU_valid=0;
-  AccCache.transient=0;
-  AccCache.accLock=0;
-  AccCache.cpuLock=0;
-  AccViewTable[CpuPtr] = AccCache;
-}
-MemoryManager::AccViewTableIterator MemoryManager::EntryLookup(uint64_t CpuPtr)
-{
-  GRID_ASSERT(EntryPresent(CpuPtr));
-  auto AccCacheIterator = AccViewTable.find(CpuPtr);
-  GRID_ASSERT(AccCacheIterator!=AccViewTable.end());
-  return AccCacheIterator;
-}
-void MemoryManager::EntryErase(uint64_t CpuPtr)
-{
-  auto AccCache = EntryLookup(CpuPtr);
-  AccViewTable.erase(CpuPtr);
-}
-/////////////////////////////////////////////////////////////////////////////////
-// LRU membership invariant:
-//
-//    LRU_valid == 1   <=>   AccPtr != NULL  &&  accLock == 0  &&  cpuLock == 0
-//
-// i.e. the LRU queue contains exactly the device-resident, completely unlocked
-// entries -- the evictable set.  Membership is maintained EAGERLY at the lock
-// 0<->1 edges, O(1) via the stored LRU_entry iterator:
-//
-//    AcceleratorViewOpen   lock 0->1 : LRUremove   (gated on LRU_valid)
-//    AcceleratorViewClose  accLock->0: LRUinsert   (AccPtr necessarily exists)
-//    CpuViewOpen           lock 0->1 : LRUremove   (gated on LRU_valid)
-//    CpuViewClose          cpuLock->0: LRUinsert   (iff AccPtr exists)
-//    Evict/AccDiscard                : LRUremove   (frees the device copy)
-//
-// Consequences: victims taken from LRU.back() are evictable by construction;
-// Evict() on a locked entry is an invariant violation (asserted), and the
-// eviction loops (EvictVictims/EvictAll) cannot spin.
-/////////////////////////////////////////////////////////////////////////////////
-void  MemoryManager::LRUinsert(AcceleratorViewEntry &AccCache)
-{
-  GRID_ASSERT(AccCache.LRU_valid==0);
-  if (AccCache.transient) { 
-    LRU.push_back(AccCache.CpuPtr);
-    AccCache.LRU_entry = --LRU.end();
-  } else {
-    LRU.push_front(AccCache.CpuPtr);
-    AccCache.LRU_entry = LRU.begin();
-  }
-  AccCache.LRU_valid = 1;
-  DeviceLRUBytes+=AccCache.bytes;
-}
-void  MemoryManager::LRUremove(AcceleratorViewEntry &AccCache)
-{
-  GRID_ASSERT(AccCache.LRU_valid==1);
-  LRU.erase(AccCache.LRU_entry);
-  AccCache.LRU_valid = 0;
-  DeviceLRUBytes-=AccCache.bytes;
-}
-/////////////////////////////////////////////////
-// Accelerator cache motion & consistency logic
-/////////////////////////////////////////////////
-void MemoryManager::AccDiscard(AcceleratorViewEntry &AccCache)
-{
-  ///////////////////////////////////////////////////////////
-  // Remove from Accelerator, remove entry, without flush
-  // Cannot be locked. If allocated Must be in LRU pool.
-  ///////////////////////////////////////////////////////////
-  GRID_ASSERT(AccCache.state!=Empty);
-  
-  dprintf("MemoryManager: Discard(%lx) %lx",(uint64_t)AccCache.CpuPtr,(uint64_t)AccCache.AccPtr); 
-  GRID_ASSERT(AccCache.accLock==0);
-  GRID_ASSERT(AccCache.cpuLock==0);
-  GRID_ASSERT(AccCache.CpuPtr!=(uint64_t)NULL);
-  if(AccCache.AccPtr) {
-    AcceleratorFree((void *)AccCache.AccPtr,AccCache.bytes);
-    DeviceDestroy++;
-    DeviceBytes   -=AccCache.bytes;
-    LRUremove(AccCache);
-    AccCache.AccPtr=(uint64_t) NULL;
-    dprintf("MemoryManager: Free(%lx) LRU %ld Total %ld",(uint64_t)AccCache.AccPtr,DeviceLRUBytes,DeviceBytes);  
-  }
-  uint64_t CpuPtr = AccCache.CpuPtr;
-  EntryErase(CpuPtr);
-}
-
-void MemoryManager::Evict(AcceleratorViewEntry &AccCache)
-{
-  ///////////////////////////////////////////////////////////////////////////
-  // Make CPU consistent, remove from Accelerator, remove from LRU, LEAVE CPU only entry
-  // Cannot be locked. If allocated must be in LRU pool.
-  //
-  // (Historical: a Nov 2022 incident (two CpuPtrs; eviction called from
-  //  CpuViewOpen -- since excised) could present a cpuLocked entry here, and
-  //  silent-return guards were added.  The LRU membership invariant (see
-  //  LRUinsert) now excludes ALL locked entries from the queue eagerly at the
-  //  lock edges, so a locked victim is an invariant violation: asserted.)
-  ///////////////////////////////////////////////////////////////////////////
-  GRID_ASSERT(AccCache.state!=Empty);
-  
-  mprintf("MemoryManager: Evict CpuPtr %lx AccPtr %lx cpuLock %ld accLock %ld",
-	  (uint64_t)AccCache.CpuPtr,(uint64_t)AccCache.AccPtr,
-	  (uint64_t)AccCache.cpuLock,(uint64_t)AccCache.accLock); 
-  GRID_ASSERT(AccCache.accLock==0);
-  GRID_ASSERT(AccCache.cpuLock==0);
-  if(AccCache.state==AccDirty) {
-    Flush(AccCache);
-  }
-  if(AccCache.AccPtr) {
-    AcceleratorFree((void *)AccCache.AccPtr,AccCache.bytes);
-    LRUremove(AccCache);
-    AccCache.AccPtr=(uint64_t)NULL;
-    AccCache.state=CpuDirty; // CPU primary now
-    DeviceBytes   -=AccCache.bytes;
-    dprintf("MemoryManager: Free(AccPtr %lx) footprint now %ld ",(uint64_t)AccCache.AccPtr,DeviceBytes);  
-  }
-  //  uint64_t CpuPtr = AccCache.CpuPtr;
-  DeviceEvictions++;
-  //  EntryErase(CpuPtr);
-}
-void MemoryManager::Flush(AcceleratorViewEntry &AccCache)
-{
-  GRID_ASSERT(AccCache.state==AccDirty);
-  GRID_ASSERT(AccCache.cpuLock==0);
-  GRID_ASSERT(AccCache.accLock==0);
-  GRID_ASSERT(AccCache.AccPtr!=(uint64_t)NULL);
-  GRID_ASSERT(AccCache.CpuPtr!=(uint64_t)NULL);
-  acceleratorCopyFromDevice((void *)AccCache.AccPtr,(void *)AccCache.CpuPtr,AccCache.bytes);
-  mprintf("MemoryManager: acceleratorCopyFromDevice Flush size %ld AccPtr %lx -> CpuPtr %lx",(uint64_t)AccCache.bytes,(uint64_t)AccCache.AccPtr,(uint64_t)AccCache.CpuPtr); fflush(stdout);
-  DeviceToHostBytes+=AccCache.bytes;
-  DeviceToHostXfer++;
-  AccCache.state=Consistent;
-}
-void MemoryManager::Clone(AcceleratorViewEntry &AccCache)
-{
-  GRID_ASSERT(AccCache.state==CpuDirty);
-  GRID_ASSERT(AccCache.cpuLock==0);
-  GRID_ASSERT(AccCache.accLock==0);
-  GRID_ASSERT(AccCache.CpuPtr!=(uint64_t)NULL);
-  if(AccCache.AccPtr==(uint64_t)NULL){
-    AccCache.AccPtr=(uint64_t)AcceleratorAllocate(AccCache.bytes);
-    DeviceBytes+=AccCache.bytes;
-  }
-  mprintf("MemoryManager: acceleratorCopyToDevice   Clone size %ld AccPtr %lx <- CpuPtr %lx",
-	  (uint64_t)AccCache.bytes,
-	  (uint64_t)AccCache.AccPtr,(uint64_t)AccCache.CpuPtr); fflush(stdout);
-  acceleratorCopyToDevice((void *)AccCache.CpuPtr,(void *)AccCache.AccPtr,AccCache.bytes);
-  HostToDeviceBytes+=AccCache.bytes;
-  HostToDeviceXfer++;
-  AccCache.state=Consistent;
-}
-
-void MemoryManager::CpuDiscard(AcceleratorViewEntry &AccCache)
-{
-  GRID_ASSERT(AccCache.state!=Empty);
-  GRID_ASSERT(AccCache.cpuLock==0);
-  GRID_ASSERT(AccCache.accLock==0);
-  GRID_ASSERT(AccCache.CpuPtr!=(uint64_t)NULL);
-  if(AccCache.AccPtr==(uint64_t)NULL){
-    AccCache.AccPtr=(uint64_t)AcceleratorAllocate(AccCache.bytes);
-    DeviceBytes+=AccCache.bytes;
-  }
-  AccCache.state=AccDirty;
-}
-
-/////////////////////////////////////////////////////////////////////////////////
-// View management
-/////////////////////////////////////////////////////////////////////////////////
-void MemoryManager::ViewClose(void* Ptr,ViewMode mode)
-{
-  if( (mode==AcceleratorRead)||(mode==AcceleratorWrite)||(mode==AcceleratorWriteDiscard) ){
-    dprintf("AcceleratorViewClose %lx",(uint64_t)Ptr);
-    AcceleratorViewClose((uint64_t)Ptr);
-  } else if( (mode==CpuRead)||(mode==CpuWrite)){
-    CpuViewClose((uint64_t)Ptr);
-  } else { 
-    GRID_ASSERT(0);
-  }
-}
-void *MemoryManager::ViewOpen(void* _CpuPtr,size_t bytes,ViewMode mode,ViewAdvise hint)
-{
-  uint64_t CpuPtr = (uint64_t)_CpuPtr;
-  if( (mode==AcceleratorRead)||(mode==AcceleratorWrite)||(mode==AcceleratorWriteDiscard) ){
-    dprintf("AcceleratorViewOpen %lx",(uint64_t)CpuPtr);
-    return (void *) AcceleratorViewOpen(CpuPtr,bytes,mode,hint);
-  } else if( (mode==CpuRead)||(mode==CpuWrite)){
-    return (void *)CpuViewOpen(CpuPtr,bytes,mode,hint);
-  } else { 
-    GRID_ASSERT(0);
-    return NULL;
-  }
-}
-void  MemoryManager::EvictVictims(uint64_t bytes)
-{
-  if(bytes>=DeviceMaxBytes) {
-    printf("EvictVictims bytes %ld DeviceMaxBytes %ld\n",bytes,DeviceMaxBytes);
-  }
-  GRID_ASSERT(bytes<DeviceMaxBytes);
-  while(bytes+DeviceLRUBytes > DeviceMaxBytes){
-    if ( DeviceLRUBytes > 0){
-      GRID_ASSERT(LRU.size()>0);
-      uint64_t victim = LRU.back(); // From the LRU
-      auto AccCacheIterator = EntryLookup(victim);
-      auto & AccCache = AccCacheIterator->second;
-      Evict(AccCache);
-    } else {
-      return;
-    }
-  }
-}
-void  MemoryManager::EvictAll(void)
-{
-  while(LRU.size()>0){
-    if ( DeviceLRUBytes > 0){
-      uint64_t victim = LRU.back(); // From the LRU
-      auto AccCacheIterator = EntryLookup(victim);
-      auto & AccCache = AccCacheIterator->second;
-      Evict(AccCache);
-    } else {
-      return;
-    }
-  }
-}
-uint64_t MemoryManager::AcceleratorViewOpen(uint64_t CpuPtr,size_t bytes,ViewMode mode,ViewAdvise hint)
-{
-  ////////////////////////////////////////////////////////////////////////////
-  // Find if present, otherwise get or force an empty
-  ////////////////////////////////////////////////////////////////////////////
-  if ( EntryPresent(CpuPtr)==0 ){
-    EntryCreate(CpuPtr,bytes,mode,hint);
-  }
-
-  auto AccCacheIterator = EntryLookup(CpuPtr);
-  auto & AccCache = AccCacheIterator->second;
-  if (!AccCache.AccPtr) {
-    EvictVictims(bytes); 
-  } 
-  GRID_ASSERT((mode==AcceleratorRead)||(mode==AcceleratorWrite)||(mode==AcceleratorWriteDiscard));
-
-  GRID_ASSERT(AccCache.cpuLock==0);  // Programming error
-
-  if(AccCache.state!=Empty) {
-    dprintf("ViewOpen found entry %lx %lx : sizes %ld %ld accLock %ld",
-		    (uint64_t)AccCache.CpuPtr,
-		    (uint64_t)CpuPtr,
-		    (uint64_t)AccCache.bytes,
-	            (uint64_t)bytes,
-		    (uint64_t)AccCache.accLock);
-    GRID_ASSERT(AccCache.CpuPtr == CpuPtr);
-    GRID_ASSERT(AccCache.bytes  ==bytes);
-  }
-/*
- *  State transitions and actions
- *
- *  Action  State   StateNext         Flush    Clone
- *
- *  AccRead  Empty   Consistent        -        Y
- *  AccWrite Empty   AccDirty          -        Y
- *  AccRead  CpuDirty Consistent       -        Y
- *  AccWrite CpuDirty AccDirty         -        Y
- *  AccRead  Consistent Consistent     -        - 
- *  AccWrite Consistent AccDirty       -        - 
- *  AccRead  AccDirty   AccDirty       -        - 
- *  AccWrite AccDirty   AccDirty       -        - 
- */
-  if(AccCache.state==Empty) {
-    GRID_ASSERT(AccCache.LRU_valid==0);
-    AccCache.CpuPtr = CpuPtr;
-    AccCache.AccPtr = (uint64_t)NULL;
-    AccCache.bytes  = bytes;
-    AccCache.state  = CpuDirty;   // Cpu starts primary
-    if(mode==AcceleratorWriteDiscard){
-      CpuDiscard(AccCache);
-      AccCache.state  = AccDirty;   // Empty + AcceleratorWrite=> AccDirty
-    } else if(mode==AcceleratorWrite){
-      Clone(AccCache);
-      AccCache.state  = AccDirty;   // Empty + AcceleratorWrite=> AccDirty
-    } else {
-      Clone(AccCache);
-      AccCache.state  = Consistent; // Empty + AccRead => Consistent
-    }
-    AccCache.accLock= 1;
-    dprintf("Copied Empty entry into device accLock= %d",AccCache.accLock);
-  } else if(AccCache.state==CpuDirty ){
-    if(mode==AcceleratorWriteDiscard) {
-      CpuDiscard(AccCache);
-      AccCache.state  = AccDirty;   // CpuDirty + AcceleratorWrite=> AccDirty
-    } else if(mode==AcceleratorWrite) {
-      Clone(AccCache);
-      AccCache.state  = AccDirty;   // CpuDirty + AcceleratorWrite=> AccDirty
-    } else {
-      Clone(AccCache);
-      AccCache.state  = Consistent; // CpuDirty + AccRead => Consistent
-    }
-    AccCache.accLock++;
-    dprintf("CpuDirty entry into device ++accLock= %d",AccCache.accLock);
-  } else if(AccCache.state==Consistent) {
-    if((mode==AcceleratorWrite)||(mode==AcceleratorWriteDiscard))
-      AccCache.state  = AccDirty;   // Consistent + AcceleratorWrite=> AccDirty
-    else
-      AccCache.state  = Consistent; // Consistent + AccRead => Consistent
-    AccCache.accLock++;
-    dprintf("Consistent entry into device ++accLock= %d",AccCache.accLock);
-  } else if(AccCache.state==AccDirty) {
-    if((mode==AcceleratorWrite)||(mode==AcceleratorWriteDiscard))
-      AccCache.state  = AccDirty; // AccDirty + AcceleratorWrite=> AccDirty
-    else
-      AccCache.state  = AccDirty; // AccDirty + AccRead => AccDirty
-    AccCache.accLock++;
-    dprintf("AccDirty entry ++accLock= %d",AccCache.accLock);
-  } else {
-    GRID_ASSERT(0);
-  }
-
-  GRID_ASSERT(AccCache.accLock>0);
-  // If view is opened on device must remove from LRU
-  if(AccCache.LRU_valid==1){
-    // must possibly remove from LRU as now locked on GPU
-    dprintf("AccCache entry removed from LRU ");
-    LRUremove(AccCache);
-  }
-
-  int transient =hint;
-  AccCache.transient= transient? EvictNext : 0;
-
-  return AccCache.AccPtr;
-}
-////////////////////////////////////
-// look up & decrement lock count
-////////////////////////////////////
-void MemoryManager::AcceleratorViewClose(uint64_t CpuPtr)
-{
-  auto AccCacheIterator = EntryLookup(CpuPtr);
-  auto & AccCache = AccCacheIterator->second;
-
-  GRID_ASSERT(AccCache.cpuLock==0);
-  GRID_ASSERT(AccCache.accLock>0);
-
-  AccCache.accLock--;
-  // Move to LRU queue if not locked and close on device
-  if(AccCache.accLock==0) {
-    dprintf("AccleratorViewClose %lx AccLock decremented to %ld move to LRU queue",(uint64_t)CpuPtr,(uint64_t)AccCache.accLock);
-    LRUinsert(AccCache);
-  } else {
-    dprintf("AccleratorViewClose %lx AccLock decremented to %ld",(uint64_t)CpuPtr,(uint64_t)AccCache.accLock);
-  }
-}
-void MemoryManager::CpuViewClose(uint64_t CpuPtr)
-{
-  auto AccCacheIterator = EntryLookup(CpuPtr);
-  auto & AccCache = AccCacheIterator->second;
-
-  GRID_ASSERT(AccCache.cpuLock>0);
-  GRID_ASSERT(AccCache.accLock==0);
-
-  AccCache.cpuLock--;
-  // Return to LRU queue when fully unlocked -- mirrors AcceleratorViewClose.
-  // Asymmetry vs the Acc side: a device copy need not exist for a host view;
-  // only device-resident entries belong in the (evictable) LRU queue.
-  if( (AccCache.cpuLock==0) && (AccCache.AccPtr!=(uint64_t)NULL) ) {
-    dprintf("CpuViewClose %lx cpuLock decremented to zero, move to LRU queue",(uint64_t)CpuPtr);
-    LRUinsert(AccCache);
-  }
-}
-/*
- *  Action  State   StateNext         Flush    Clone
- *
- *  CpuRead  Empty   CpuDirty          -        -
- *  CpuWrite Empty   CpuDirty          -        -
- *  CpuRead  CpuDirty CpuDirty         -        -
- *  CpuWrite CpuDirty CpuDirty         -        - 
- *  CpuRead  Consistent Consistent     -        - 
- *  CpuWrite Consistent CpuDirty       -        - 
- *  CpuRead  AccDirty   Consistent     Y        -
- *  CpuWrite AccDirty   CpuDirty       Y        -
- */
-uint64_t MemoryManager::CpuViewOpen(uint64_t CpuPtr,size_t bytes,ViewMode mode,ViewAdvise transient)
-{
-  ////////////////////////////////////////////////////////////////////////////
-  // Find if present, otherwise get or force an empty
-  ////////////////////////////////////////////////////////////////////////////
-  if ( EntryPresent(CpuPtr)==0 ){
-    EntryCreate(CpuPtr,bytes,mode,transient);
-  }
-
-  auto AccCacheIterator = EntryLookup(CpuPtr);
-  auto & AccCache = AccCacheIterator->second;
-
-  // CPU doesn't need to free space
-  //  if (!AccCache.AccPtr) {
-  //    EvictVictims(bytes);
-  //  }
-
-  GRID_ASSERT((mode==CpuRead)||(mode==CpuWrite));
-  GRID_ASSERT(AccCache.accLock==0);  // Programming error
-
-  if(AccCache.state!=Empty) {
-    GRID_ASSERT(AccCache.CpuPtr == CpuPtr);
-    GRID_ASSERT(AccCache.bytes==bytes);
-  }
-
-  if(AccCache.state==Empty) {
-    AccCache.CpuPtr = CpuPtr;
-    AccCache.AccPtr = (uint64_t)NULL;
-    AccCache.bytes  = bytes;
-    AccCache.state  = CpuDirty; // Empty + CpuRead/CpuWrite => CpuDirty
-    AccCache.accLock= 0;
-    AccCache.cpuLock= 1;
-  } else if(AccCache.state==CpuDirty ){
-    // AccPtr dont care, deferred allocate
-    AccCache.state = CpuDirty; // CpuDirty +CpuRead/CpuWrite => CpuDirty
-    AccCache.cpuLock++;
-  } else if(AccCache.state==Consistent) {
-    GRID_ASSERT(AccCache.AccPtr != (uint64_t)NULL);
-    if(mode==CpuWrite)
-      AccCache.state = CpuDirty;   // Consistent +CpuWrite => CpuDirty
-    else 
-      AccCache.state = Consistent; // Consistent +CpuRead  => Consistent
-    AccCache.cpuLock++;
-  } else if(AccCache.state==AccDirty) {
-    GRID_ASSERT(AccCache.AccPtr != (uint64_t)NULL);
-    Flush(AccCache);
-    if(mode==CpuWrite) AccCache.state = CpuDirty;   // AccDirty +CpuWrite => CpuDirty, Flush
-    else            AccCache.state = Consistent; // AccDirty +CpuRead  => Consistent, Flush
-    AccCache.cpuLock++;
-  } else {
-    GRID_ASSERT(0); // should be unreachable
-  }
-
-  GRID_ASSERT(AccCache.cpuLock>0);
-  // If view is opened on host must remove from LRU -- mirrors AcceleratorViewOpen.
-  // LRU_valid==1 here implies this is the 0->1 lock edge of a device-resident entry.
-  if(AccCache.LRU_valid==1){
-    dprintf("CpuViewOpen: entry removed from LRU ");
-    LRUremove(AccCache);
-  }
-
-  AccCache.transient= transient? EvictNext : 0;
-
-  return AccCache.CpuPtr;
-}
-void  MemoryManager::NotifyDeletion(void *_ptr)
-{
-  // Look up in ViewCache
-  uint64_t ptr = (uint64_t)_ptr;
-  if(EntryPresent(ptr)) {
-    auto e = EntryLookup(ptr);
-    AccDiscard(e->second);
-  }
-}
-void  MemoryManager::Print(void)
-{
-  PrintBytes();
-  std::cout << GridLogMessage << "--------------------------------------------" << std::endl;
-  std::cout << GridLogMessage << "Memory Manager                             " << std::endl;
-  std::cout << GridLogMessage << "--------------------------------------------" << std::endl;
-  std::cout << GridLogMessage << DeviceBytes   << " bytes allocated on device " << std::endl;
-  std::cout << GridLogMessage << DeviceLRUBytes<< " bytes evictable on device " << std::endl;
-  std::cout << GridLogMessage << DeviceMaxBytes<< " bytes max on device       " << std::endl;
-  std::cout << GridLogMessage << HostToDeviceXfer << " transfers        to   device " << std::endl;
-  std::cout << GridLogMessage << DeviceToHostXfer << " transfers        from device " << std::endl;
-  std::cout << GridLogMessage << HostToDeviceBytes<< " bytes transfered to   device " << std::endl;
-  std::cout << GridLogMessage << DeviceToHostBytes<< " bytes transfered from device " << std::endl;
-  std::cout << GridLogMessage << DeviceEvictions  << " Evictions from device " << std::endl;
-  std::cout << GridLogMessage << DeviceDestroy    << " Destroyed vectors on device " << std::endl;
-  std::cout << GridLogMessage << AccViewTable.size()<< " vectors " << LRU.size()<<" evictable"<< std::endl;
-  acceleratorMem();
-  std::cout << GridLogMessage << "--------------------------------------------" << std::endl;
-}
-void  MemoryManager::PrintAll(void)
-{
-  Print();
-  std::cout << GridLogMessage << std::endl;
-  std::cout << GridLogMessage << "--------------------------------------------" << std::endl;
-  std::cout << GridLogMessage << "CpuAddr\t\tAccAddr\t\tState\t\tcpuLock\taccLock\tLRU_valid "<<std::endl;
-  std::cout << GridLogMessage << "--------------------------------------------" << std::endl;
-  for(auto it=AccViewTable.begin();it!=AccViewTable.end();it++){
-    auto &AccCache = it->second;
-    
-    std::string str;
-    if ( AccCache.state==Empty    ) str = std::string("Empty");
-    if ( AccCache.state==CpuDirty ) str = std::string("CpuDirty");
-    if ( AccCache.state==AccDirty ) str = std::string("AccDirty");
-    if ( AccCache.state==Consistent)str = std::string("Consistent");
-
-    std::cout << GridLogMessage << "0x"<<std::hex<<AccCache.CpuPtr<<std::dec
-	      << "\t0x"<<std::hex<<AccCache.AccPtr<<std::dec<<"\t" <<str
-	      << "\t" << AccCache.cpuLock
-	      << "\t" << AccCache.accLock
-	      << "\t" << AccCache.LRU_valid<<std::endl;
-  }
-  std::cout << GridLogMessage << "--------------------------------------------" << std::endl;
-
-};
-int   MemoryManager::isOpen   (void* _CpuPtr) 
-{ 
-  uint64_t CpuPtr = (uint64_t)_CpuPtr;
-  if ( EntryPresent(CpuPtr) ){
-    auto AccCacheIterator = EntryLookup(CpuPtr);
-    auto & AccCache = AccCacheIterator->second;
-    return AccCache.cpuLock+AccCache.accLock;
-  } else { 
-    return 0;
-  }
-}
-void MemoryManager::Audit(std::string s)
-{
-  uint64_t CpuBytes=0;
-  uint64_t AccBytes=0;
-  uint64_t LruBytes1=0;
-  uint64_t LruBytes2=0;
-  uint64_t LruCnt=0;
-  
-  std::cout << " Memory Manager::Audit() from "<<s<<std::endl;
-  for(auto it=LRU.begin();it!=LRU.end();it++){
-    uint64_t cpuPtr = *it;
-    GRID_ASSERT(EntryPresent(cpuPtr));
-    auto AccCacheIterator = EntryLookup(cpuPtr);
-    auto & AccCache = AccCacheIterator->second;
-    LruBytes2+=AccCache.bytes;
-    GRID_ASSERT(AccCache.LRU_valid==1);
-    GRID_ASSERT(AccCache.LRU_entry==it);
-  }
-  std::cout << " Memory Manager::Audit() LRU queue matches table entries "<<std::endl;
-
-  for(auto it=AccViewTable.begin();it!=AccViewTable.end();it++){
-    auto &AccCache = it->second;
-    
-    std::string str;
-    if ( AccCache.state==Empty    ) str = std::string("Empty");
-    if ( AccCache.state==CpuDirty ) str = std::string("CpuDirty");
-    if ( AccCache.state==AccDirty ) str = std::string("AccDirty");
-    if ( AccCache.state==Consistent)str = std::string("Consistent");
-
-    CpuBytes+=AccCache.bytes;
-    if( AccCache.AccPtr )    AccBytes+=AccCache.bytes;
-    if( AccCache.LRU_valid ) LruBytes1+=AccCache.bytes;
-    if( AccCache.LRU_valid ) LruCnt++;
-    
-    if ( AccCache.cpuLock || AccCache.accLock ) {
-      GRID_ASSERT(AccCache.LRU_valid==0);
-
-      std::cout << GridLogError << s<< "\n\t 0x"<<std::hex<<AccCache.CpuPtr<<std::dec
-		<< "\t0x"<<std::hex<<AccCache.AccPtr<<std::dec<<"\t" <<str
-		<< "\t cpuLock  " << AccCache.cpuLock
-		<< "\t accLock  " << AccCache.accLock
-		<< "\t LRUvalid " << AccCache.LRU_valid<<std::endl;
-    }
-
-    GRID_ASSERT( AccCache.cpuLock== 0 ) ;
-    GRID_ASSERT( AccCache.accLock== 0 ) ;
-  }
-  std::cout << " Memory Manager::Audit() no locked table entries "<<std::endl;
-  GRID_ASSERT(LruBytes1==LruBytes2);
-  GRID_ASSERT(LruBytes1==DeviceLRUBytes);
-  std::cout << " Memory Manager::Audit() evictable bytes matches sum over table "<<std::endl;
-  GRID_ASSERT(AccBytes==DeviceBytes);
-  std::cout << " Memory Manager::Audit() device bytes matches sum over table "<<std::endl;
-  GRID_ASSERT(LruCnt == LRU.size());
-  std::cout << " Memory Manager::Audit() LRU entry count matches "<<std::endl;
-
-}
-
-void MemoryManager::PrintState(void* _CpuPtr)
-{
-  uint64_t CpuPtr = (uint64_t)_CpuPtr;
-
-  if ( EntryPresent(CpuPtr) ){
-    auto AccCacheIterator = EntryLookup(CpuPtr);
-    auto & AccCache = AccCacheIterator->second;
-    std::string str;
-    if ( AccCache.state==Empty    ) str = std::string("Empty");
-    if ( AccCache.state==CpuDirty ) str = std::string("CpuDirty");
-    if ( AccCache.state==AccDirty ) str = std::string("AccDirty");
-    if ( AccCache.state==Consistent)str = std::string("Consistent");
-    if ( AccCache.state==EvictNext) str = std::string("EvictNext");
-
-    std::cout << GridLogMessage << "CpuAddr\t\tAccAddr\t\tState\t\tcpuLock\taccLock\tLRU_valid "<<std::endl;
-    std::cout << GridLogMessage << "\tx"<<std::hex<<AccCache.CpuPtr<<std::dec
-    << "\tx"<<std::hex<<AccCache.AccPtr<<std::dec<<"\t" <<str
-    << "\t" << AccCache.cpuLock
-    << "\t" << AccCache.accLock
-    << "\t" << AccCache.LRU_valid<<std::endl;
-
-  } else {
-    std::cout << GridLogMessage << "No Entry in AccCache table." << std::endl; 
-  }
-}
-
-NAMESPACE_END(Grid);
-
-#endif

Grid/allocator/MemoryManagerShared.cc

@@ -1,31 +0,0 @@
-#include <Grid/GridCore.h>
-#ifdef GRID_UVM
-
-NAMESPACE_BEGIN(Grid);
-/////////////////////////////////////////////////////////////////////////////////
-// View management is 1:1 address space mapping
-/////////////////////////////////////////////////////////////////////////////////
-uint64_t  MemoryManager::DeviceBytes;
-uint64_t  MemoryManager::DeviceLRUBytes;
-uint64_t  MemoryManager::DeviceMaxBytes = 1024*1024*128;
-uint64_t  MemoryManager::HostToDeviceBytes;
-uint64_t  MemoryManager::DeviceToHostBytes;
-uint64_t  MemoryManager::HostToDeviceXfer;
-uint64_t  MemoryManager::DeviceToHostXfer;
-uint64_t  MemoryManager::DeviceEvictions;
-uint64_t  MemoryManager::DeviceDestroy;
-
-void  MemoryManager::Audit(std::string s){};
-void  MemoryManager::ViewClose(void* AccPtr,ViewMode mode){};
-void *MemoryManager::ViewOpen(void* CpuPtr,size_t bytes,ViewMode mode,ViewAdvise hint){ return CpuPtr; };
-int   MemoryManager::isOpen   (void* CpuPtr) { return 0;}
-void  MemoryManager::PrintState(void* CpuPtr)
-{
-std::cout << GridLogMessage << "Host<->Device memory movement not currently managed by Grid." << std::endl;
-};
-void  MemoryManager::Print(void){};
-void  MemoryManager::PrintAll(void){};
-void  MemoryManager::NotifyDeletion(void *ptr){};
-
-NAMESPACE_END(Grid);
-#endif