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mirror of https://github.com/paboyle/Grid.git synced 2025-04-09 21:50:45 +01:00

Hadrons: general lattice store & a lot of code cleaning

This commit is contained in:
Antonin Portelli 2016-05-04 12:17:27 -07:00
parent 312637e5fb
commit 3aa6463ede
12 changed files with 256 additions and 238 deletions

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@ -62,12 +62,13 @@ std::vector<std::string> AWilson::getOutput(void)
// execution /////////////////////////////////////////////////////////////////// // execution ///////////////////////////////////////////////////////////////////
void AWilson::execute(Environment &env) void AWilson::execute(Environment &env)
{ {
auto &U = *env.getGauge(par_.gauge); auto &U = *env.get<LatticeGaugeField>(par_.gauge);
auto &grid = *env.getGrid(); auto &grid = *env.getGrid();
auto &gridRb = *env.getRbGrid(); auto &gridRb = *env.getRbGrid();
LOG(Message) << "setting up Wilson fermion matrix with m= " << par_.mass LOG(Message) << "Setting up Wilson fermion matrix with m= " << par_.mass
<< " using gauge field '" << par_.gauge << "'" << std::endl; << " using gauge field '" << par_.gauge << "'" << std::endl;
env.addFermionMatrix(getName(), env.addFermionMatrix(getName(),
new WilsonFermionR(U, grid, gridRb, par_.mass)); new WilsonFermionR(U, grid, gridRb, par_.mass));
LOG(Message) << sizeof(*env.getFermionMatrix(getName())) << std::endl;
} }

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@ -47,6 +47,16 @@ Application::Application(const std::string parameterFileName)
{ {
LOG(Message) << " " << m << std::endl; LOG(Message) << " " << m << std::endl;
} }
auto dim = GridDefaultLatt(), mpi = GridDefaultMpi(), loc(dim);
locVol_ = 1;
for (unsigned int d = 0; d < dim.size(); ++d)
{
loc[d] /= mpi[d];
locVol_ *= loc[d];
}
LOG(Message) << "Global lattice: " << dim << std::endl;
LOG(Message) << "MPI partition : " << mpi << std::endl;
LOG(Message) << "Local lattice : " << loc << std::endl;
} }
// destructor ////////////////////////////////////////////////////////////////// // destructor //////////////////////////////////////////////////////////////////
@ -169,8 +179,8 @@ void Application::configLoop(void)
for (unsigned int t = range.start; t < range.end; t += range.step) for (unsigned int t = range.start; t < range.end; t += range.step)
{ {
LOG(Message) << "Starting measurement for trajectory " << t LOG(Message) << "========== Starting measurement for trajectory " << t
<< std::endl; << " ==========" << std::endl;
env_.setTrajectory(t); env_.setTrajectory(t);
execute(program_); execute(program_);
env_.freeAll(); env_.freeAll();
@ -179,7 +189,7 @@ void Application::configLoop(void)
unsigned int Application::execute(const std::vector<std::string> &program) unsigned int Application::execute(const std::vector<std::string> &program)
{ {
unsigned int memPeak = 0; unsigned int memPeak = 0, size;
std::vector<std::vector<std::string>> freeProg; std::vector<std::vector<std::string>> freeProg;
freeProg.resize(program.size()); freeProg.resize(program.size());
@ -200,19 +210,53 @@ unsigned int Application::execute(const std::vector<std::string> &program)
} }
for (unsigned int i = 0; i < program.size(); ++i) for (unsigned int i = 0; i < program.size(); ++i)
{ {
LOG(Message) << "Measurement step " << i+1 << "/" << program.size() LOG(Message) << "---------- Measurement step " << i+1 << "/"
<< " (module '" << program[i] << "')" << std::endl; << program.size() << " (module '" << program[i] << "')"
<< " ----------" << std::endl;
(*module_[program[i]])(env_); (*module_[program[i]])(env_);
LOG(Message) << "allocated propagators: " << env_.nProp() << std::endl; size = env_.getTotalSize();
if (env_.nProp() > memPeak) LOG(Message) << "Allocated objects: " << sizeString(size*locVol_)
<< " (" << sizeString(size) << "/site)" << std::endl;
if (size > memPeak)
{ {
memPeak = env_.nProp(); memPeak = size;
} }
LOG(Message) << "Garbage collection..." << std::endl;
for (auto &n: freeProg[i]) for (auto &n: freeProg[i])
{ {
env_.free(n); env_.free(n);
} }
size = env_.getTotalSize();
LOG(Message) << "Allocated objects: " << sizeString(size*locVol_)
<< " (" << sizeString(size) << "/site)" << std::endl;
} }
return memPeak; return memPeak;
} }
// pretty size formatting //////////////////////////////////////////////////////
std::string Application::sizeString(long unsigned int bytes)
{
constexpr unsigned int bufSize = 256;
const char *suffixes[7] = {"", "K", "M", "G", "T", "P", "E"};
char buf[256];
long unsigned int s = 0;
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);
}

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@ -85,7 +85,10 @@ private:
// program execution // program execution
void configLoop(void); void configLoop(void);
unsigned int execute(const std::vector<std::string> &program); unsigned int execute(const std::vector<std::string> &program);
// pretty size formatting
std::string sizeString(long unsigned int bytes);
private: private:
long unsigned int locVol_;
std::string parameterFileName_; std::string parameterFileName_;
GlobalPar par_; GlobalPar par_;
Environment &env_; Environment &env_;

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@ -63,13 +63,13 @@ std::vector<std::string> CMeson::getOutput(void)
// execution /////////////////////////////////////////////////////////////////// // execution ///////////////////////////////////////////////////////////////////
void CMeson::execute(Environment &env) void CMeson::execute(Environment &env)
{ {
LOG(Message) << "computing meson contraction '" << getName() << "' using" LOG(Message) << "Computing meson contraction '" << getName() << "' using"
<< " quarks '" << par_.q1 << " and '" << par_.q2 << "'" << " quarks '" << par_.q1 << " and '" << par_.q2 << "'"
<< std::endl; << std::endl;
XmlWriter writer(par_.output); XmlWriter writer(par_.output);
LatticePropagator &q1 = *env.getProp(par_.q1); LatticePropagator &q1 = *env.get<LatticePropagator>(par_.q1);
LatticePropagator &q2 = *env.getProp(par_.q2); LatticePropagator &q2 = *env.get<LatticePropagator>(par_.q2);
LatticeComplex c(env.getGrid()); LatticeComplex c(env.getGrid());
SpinMatrix g[Ns*Ns], g5; SpinMatrix g[Ns*Ns], g5;
std::vector<TComplex> buf; std::vector<TComplex> buf;

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@ -151,173 +151,6 @@ void Environment::callSolver(const std::string name, LatticeFermion &sol,
} }
} }
// quark propagators ///////////////////////////////////////////////////////////
void Environment::createProp(const std::string name, const unsigned int Ls)
{
GridCartesian *g4 = getGrid();
if (propExists(name))
{
HADRON_ERROR("propagator '" + name + "' already exists");
}
if (Ls > 1)
{
GridCartesian *g;
try
{
g = grid5d_.at(Ls).get();
}
catch(std::out_of_range &)
{
grid5d_[Ls].reset(SpaceTimeGrid::makeFiveDimGrid(Ls, g4));
gridRb5d_[Ls].reset(SpaceTimeGrid::makeFiveDimRedBlackGrid(Ls, g4));
g = grid5d_[Ls].get();
}
if (!isDryRun())
{
prop_[name].reset(new LatticePropagator(g));
}
else
{
prop_[name].reset(nullptr);
}
propSize_[name] = Ls;
}
else
{
if (!isDryRun())
{
prop_[name].reset(new LatticePropagator(g4));
}
else
{
prop_[name].reset(nullptr);
}
propSize_[name] = 1;
}
}
void Environment::freeProp(const std::string name)
{
if (propExists(name))
{
prop_.erase(name);
propSize_.erase(name);
}
else
{
HADRON_ERROR("trying to free unknown propagator '" + name + "'");
}
}
bool Environment::isProp5d(const std::string name) const
{
if (propExists(name))
{
return (getProp(name)->_grid->GlobalDimensions().size() == Nd + 1);
}
else
{
HADRON_ERROR("propagator '" + name + "' unknown");
return false;
}
}
unsigned int Environment::getPropLs(const std::string name) const
{
if (propExists(name))
{
if (isProp5d(name))
{
return getProp(name)->_grid->GlobalDimensions()[0];
}
else
{
return 1;
}
}
else
{
HADRON_ERROR("propagator '" + name + "' unknown");
return 0;
}
}
LatticePropagator * Environment::getProp(const std::string name) const
{
if (propExists(name))
{
return prop_.at(name).get();
}
else
{
HADRON_ERROR("propagator '" + name + "' unknown");
return nullptr;
}
}
bool Environment::propExists(const std::string name) const
{
return (prop_.find(name) != prop_.end());
}
unsigned int Environment::nProp(void) const
{
unsigned int size = 0;
for (auto &s: propSize_)
{
size += s.second;
}
return size;
}
// gauge configuration /////////////////////////////////////////////////////////
void Environment::createGauge(const std::string name)
{
if (gaugeExists(name))
{
HADRON_ERROR("gauge field '" + name + "' already exists");
}
gauge_[name].reset(new LatticeGaugeField(getGrid()));
}
void Environment::freeGauge(const std::string name)
{
if (gaugeExists(name))
{
gauge_.erase(name);
}
else
{
HADRON_ERROR("trying to free unknown gauge field '" + name + "'");
}
}
LatticeGaugeField * Environment::getGauge(const std::string name) const
{
if (gaugeExists(name))
{
return gauge_.at(name).get();
}
else
{
HADRON_ERROR("gauge field '" + name + "' unknown");
return nullptr;
}
}
bool Environment::gaugeExists(const std::string name) const
{
return (gauge_.find(name) != gauge_.end());
}
// random number generator ///////////////////////////////////////////////////// // random number generator /////////////////////////////////////////////////////
void Environment::setSeed(const std::vector<int> &seed) void Environment::setSeed(const std::vector<int> &seed)
{ {
@ -329,24 +162,95 @@ GridParallelRNG * Environment::get4dRng(void) const
return rng4d_.get(); return rng4d_.get();
} }
// general free //////////////////////////////////////////////////////////////// // data store //////////////////////////////////////////////////////////////////
void Environment::freeLattice(const std::string name)
{
if (hasLattice(name))
{
LOG(Message) << "freeing lattice '" << name << "'" << std::endl;
lattice_.erase(name);
objectSize_.erase(name);
}
else
{
HADRON_ERROR("trying to free undefined lattice '" + name + "'");
}
}
bool Environment::hasLattice(const std::string name) const
{
return (lattice_.find(name) != lattice_.end());
}
bool Environment::isLattice5d(const std::string name) const
{
if (hasLattice(name))
{
return (lattice_.at(name)->_grid->GlobalDimensions().size() == Nd + 1);
}
else
{
HADRON_ERROR("object '" + name + "' undefined");
return false;
}
}
unsigned int Environment::getLatticeLs(const std::string name) const
{
if (isLattice5d(name))
{
return lattice_.at(name)->_grid->GlobalDimensions()[0];
}
else
{
return 1;
}
}
// general memory management ///////////////////////////////////////////////////
void Environment::free(const std::string name) void Environment::free(const std::string name)
{ {
if (propExists(name)) if (hasLattice(name))
{ {
LOG(Message) << "freeing propagator '" << name << "'" << std::endl; freeLattice(name);
freeProp(name);
}
else if (gaugeExists(name))
{
LOG(Message) << "freeing gauge field '" << name << "'" << std::endl;
freeGauge(name);
} }
} }
void Environment::freeAll(void) void Environment::freeAll(void)
{ {
prop_.clear(); lattice_.clear();
propSize_.clear(); objectSize_.clear();
gauge_.clear(); }
void Environment::addSize(const std::string name, const unsigned int size)
{
objectSize_[name] = size;
}
unsigned int Environment::getSize(const std::string name) const
{
if (hasLattice(name))
{
return objectSize_.at(name);
}
else
{
HADRON_ERROR("object '" + name + "' undefined");
return 0;
}
}
long unsigned int Environment::getTotalSize(void) const
{
long unsigned int size = 0;
for (auto &s: objectSize_)
{
size += s.second;
}
return size;
} }

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@ -46,8 +46,7 @@ public:
typedef std::unique_ptr<GridRedBlackCartesian> GridRbPt; typedef std::unique_ptr<GridRedBlackCartesian> GridRbPt;
typedef std::unique_ptr<GridParallelRNG> RngPt; typedef std::unique_ptr<GridParallelRNG> RngPt;
typedef std::unique_ptr<FMat> FMatPt; typedef std::unique_ptr<FMat> FMatPt;
typedef std::unique_ptr<LatticePropagator> PropPt; typedef std::unique_ptr<LatticeBase> LatticePt;
typedef std::unique_ptr<LatticeGaugeField> GaugePt;
public: public:
// dry run // dry run
void dryRun(const bool isDry); void dryRun(const bool isDry);
@ -67,26 +66,27 @@ public:
void callSolver(const std::string name, void callSolver(const std::string name,
LatticeFermion &sol, LatticeFermion &sol,
const LatticeFermion &src) const; const LatticeFermion &src) const;
// quark propagators
void createProp(const std::string name,
const unsigned int Ls = 1);
void freeProp(const std::string name);
bool isProp5d(const std::string name) const;
unsigned int getPropLs(const std::string name) const;
LatticePropagator * getProp(const std::string name) const;
bool propExists(const std::string name) const;
unsigned int nProp(void) const;
// gauge configurations
void createGauge(const std::string name);
void freeGauge(const std::string name);
LatticeGaugeField * getGauge(const std::string name) const;
bool gaugeExists(const std::string name) const;
// random number generator // random number generator
void setSeed(const std::vector<int> &seed); void setSeed(const std::vector<int> &seed);
GridParallelRNG * get4dRng(void) const; GridParallelRNG * get4dRng(void) const;
// general free // lattice store
template <typename T>
void create(const std::string name,
const unsigned int Ls = 1);
template <typename T>
T * get(const std::string name) const;
void freeLattice(const std::string name);
bool hasLattice(const std::string name) const;
bool isLattice5d(const std::string name) const;
unsigned int getLatticeLs(const std::string name) const;
// general memory management
void free(const std::string name); void free(const std::string name);
void freeAll(void); void freeAll(void);
void addSize(const std::string name,
const unsigned int size);
unsigned int getSize(const std::string name) const;
long unsigned int getTotalSize(void) const;
private: private:
bool dryRun_{false}; bool dryRun_{false};
unsigned int traj_; unsigned int traj_;
@ -98,11 +98,75 @@ private:
std::map<std::string, FMatPt> fMat_; std::map<std::string, FMatPt> fMat_;
std::map<std::string, Solver> solver_; std::map<std::string, Solver> solver_;
std::map<std::string, std::string> solverAction_; std::map<std::string, std::string> solverAction_;
std::map<std::string, PropPt> prop_; std::map<std::string, LatticePt> lattice_;
std::map<std::string, unsigned int> propSize_; std::map<std::string, unsigned int> objectSize_;
std::map<std::string, GaugePt> gauge_;
}; };
/******************************************************************************
* template implementation *
******************************************************************************/
template <typename T>
void Environment::create(const std::string name, const unsigned int Ls)
{
GridCartesian *g4 = getGrid();
GridCartesian *g;
if (hasLattice(name))
{
HADRON_ERROR("object '" + name + "' already exists");
}
if (Ls > 1)
{
try
{
g = grid5d_.at(Ls).get();
}
catch(std::out_of_range &)
{
grid5d_[Ls].reset(SpaceTimeGrid::makeFiveDimGrid(Ls, g4));
gridRb5d_[Ls].reset(SpaceTimeGrid::makeFiveDimRedBlackGrid(Ls, g4));
g = grid5d_[Ls].get();
}
}
else
{
g = g4;
}
if (!isDryRun())
{
lattice_[name].reset(new T(g));
}
else
{
lattice_[name].reset(nullptr);
}
objectSize_[name] = sizeof(typename T::vector_object)/g->Nsimd()*Ls;
}
template <typename T>
T * Environment::get(const std::string name) const
{
if (hasLattice(name))
{
try
{
return dynamic_cast<T *>(lattice_.at(name).get());
}
catch (std::bad_cast &)
{
HADRON_ERROR("object '" + name + "' does not have type "
+ typeid(T *).name() + "(object type: "
+ typeid(lattice_.at(name).get()).name() + ")");
}
}
else
{
HADRON_ERROR("object '" + name + "' undefined");
return nullptr;
}
}
END_HADRONS_NAMESPACE END_HADRONS_NAMESPACE
#endif // Hadrons_Environment_hpp_ #endif // Hadrons_Environment_hpp_

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@ -62,8 +62,8 @@ std::vector<std::string> GLoad::getOutput(void)
// allocation ////////////////////////////////////////////////////////////////// // allocation //////////////////////////////////////////////////////////////////
void GLoad::allocate(Environment &env) void GLoad::allocate(Environment &env)
{ {
env.createGauge(getName()); env.create<LatticeGaugeField>(getName());
gauge_ = env.getGauge(getName()); gauge_ = env.get<LatticeGaugeField>(getName());
} }
// execution /////////////////////////////////////////////////////////////////// // execution ///////////////////////////////////////////////////////////////////
@ -73,7 +73,9 @@ void GLoad::execute(Environment &env)
std::string fileName = par_.file + "." std::string fileName = par_.file + "."
+ std::to_string(env.getTrajectory()); + std::to_string(env.getTrajectory());
LOG(Message) << "loading NERSC configuration from file '" << fileName LOG(Message) << "Loading NERSC configuration from file '" << fileName
<< "'" << std::endl; << "'" << std::endl;
NerscIO::readConfiguration(*gauge_, header, fileName); NerscIO::readConfiguration(*gauge_, header, fileName);
LOG(Message) << "NERSC header:" << std::endl;
dump_nersc_header(header, LOG(Message));
} }

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@ -54,13 +54,13 @@ std::vector<std::string> GRandom::getOutput(void)
// allocation ////////////////////////////////////////////////////////////////// // allocation //////////////////////////////////////////////////////////////////
void GRandom::allocate(Environment &env) void GRandom::allocate(Environment &env)
{ {
env.createGauge(getName()); env.create<LatticeGaugeField>(getName());
gauge_ = env.getGauge(getName()); gauge_ = env.get<LatticeGaugeField>(getName());
} }
// execution /////////////////////////////////////////////////////////////////// // execution ///////////////////////////////////////////////////////////////////
void GRandom::execute(Environment &env) void GRandom::execute(Environment &env)
{ {
LOG(Message) << "generating random gauge configuration" << std::endl; LOG(Message) << "Generating random gauge configuration" << std::endl;
SU3::HotConfiguration(*env.get4dRng(), *gauge_); SU3::HotConfiguration(*env.get4dRng(), *gauge_);
} }

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@ -54,13 +54,13 @@ std::vector<std::string> GUnit::getOutput(void)
// allocation ////////////////////////////////////////////////////////////////// // allocation //////////////////////////////////////////////////////////////////
void GUnit::allocate(Environment &env) void GUnit::allocate(Environment &env)
{ {
env.createGauge(getName()); env.create<LatticeGaugeField>(getName());
gauge_ = env.getGauge(getName()); gauge_ = env.get<LatticeGaugeField>(getName());
} }
// execution /////////////////////////////////////////////////////////////////// // execution ///////////////////////////////////////////////////////////////////
void GUnit::execute(Environment &env) void GUnit::execute(Environment &env)
{ {
LOG(Message) << "creating unit gauge configuration" << std::endl; LOG(Message) << "Creating unit gauge configuration" << std::endl;
SU3::ColdConfiguration(*env.get4dRng(), *gauge_); SU3::ColdConfiguration(*env.get4dRng(), *gauge_);
} }

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@ -78,12 +78,12 @@ void MQuark::setup(Environment &env)
// allocation ////////////////////////////////////////////////////////////////// // allocation //////////////////////////////////////////////////////////////////
void MQuark::allocate(Environment &env) void MQuark::allocate(Environment &env)
{ {
env.createProp(getName()); env.create<LatticePropagator>(getName());
quark_ = env.getProp(getName()); quark_ = env.get<LatticePropagator>(getName());
if (Ls_ > 1) if (Ls_ > 1)
{ {
env.createProp(getName() + "_5d", Ls_); env.create<LatticePropagator>(getName() + "_5d", Ls_);
quark5d_ = env.getProp(getName() + "_5d"); quark5d_ = env.get<LatticePropagator>(getName() + "_5d");
} }
} }
@ -93,13 +93,13 @@ void MQuark::execute(Environment &env)
LatticePropagator *fullSource; LatticePropagator *fullSource;
LatticeFermion source(env.getGrid(Ls_)), sol(env.getGrid(Ls_)); LatticeFermion source(env.getGrid(Ls_)), sol(env.getGrid(Ls_));
LOG(Message) << "computing quark propagator '" << getName() << "'" LOG(Message) << "Computing quark propagator '" << getName() << "'"
<< std::endl; << std::endl;
if (!env.isProp5d(par_.source)) if (!env.isLattice5d(par_.source))
{ {
if (Ls_ == 1) if (Ls_ == 1)
{ {
fullSource = env.getProp(par_.source); fullSource = env.get<LatticePropagator>(par_.source);
} }
else else
{ {
@ -112,17 +112,17 @@ void MQuark::execute(Environment &env)
{ {
HADRON_ERROR("MQuark not implemented with 5D actions"); HADRON_ERROR("MQuark not implemented with 5D actions");
} }
else if (Ls_ != env.getPropLs(par_.source)) else if (Ls_ != env.getLatticeLs(par_.source))
{ {
HADRON_ERROR("MQuark not implemented with 5D actions"); HADRON_ERROR("MQuark not implemented with 5D actions");
} }
else else
{ {
fullSource = env.getProp(par_.source); fullSource = env.get<LatticePropagator>(par_.source);
} }
} }
LOG(Message) << "inverting using solver '" << par_.solver LOG(Message) << "Inverting using solver '" << par_.solver
<< "' on source '" << par_.source << "'" << std::endl; << "' on source '" << par_.source << "'" << std::endl;
for (unsigned int s = 0; s < Ns; ++s) for (unsigned int s = 0; s < Ns; ++s)
for (unsigned int c = 0; c < Nc; ++c) for (unsigned int c = 0; c < Nc; ++c)

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@ -62,8 +62,8 @@ std::vector<std::string> SrcPoint::getOutput(void)
// allocation ////////////////////////////////////////////////////////////////// // allocation //////////////////////////////////////////////////////////////////
void SrcPoint::allocate(Environment &env) void SrcPoint::allocate(Environment &env)
{ {
env.createProp(getName()); env.create<LatticePropagator>(getName());
src_ = env.getProp(getName()); src_ = env.get<LatticePropagator>(getName());
} }
// execution /////////////////////////////////////////////////////////////////// // execution ///////////////////////////////////////////////////////////////////
@ -72,7 +72,7 @@ void SrcPoint::execute(Environment &env)
std::vector<int> position = strToVec<int>(par_.position); std::vector<int> position = strToVec<int>(par_.position);
SpinColourMatrix id; SpinColourMatrix id;
LOG(Message) << "creating point source at position [" << par_.position LOG(Message) << "Creating point source at position [" << par_.position
<< "]" << std::endl; << "]" << std::endl;
id = 1.; id = 1.;
*src_ = zero; *src_ = zero;

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@ -62,8 +62,8 @@ std::vector<std::string> SrcZ2::getOutput(void)
// allocation ////////////////////////////////////////////////////////////////// // allocation //////////////////////////////////////////////////////////////////
void SrcZ2::allocate(Environment &env) void SrcZ2::allocate(Environment &env)
{ {
env.createProp(getName()); env.create<LatticePropagator>(getName());
src_ = env.getProp(getName()); src_ = env.get<LatticePropagator>(getName());
} }
// execution /////////////////////////////////////////////////////////////////// // execution ///////////////////////////////////////////////////////////////////
@ -76,12 +76,12 @@ void SrcZ2::execute(Environment &env)
if (par_.tA == par_.tB) if (par_.tA == par_.tB)
{ {
LOG(Message) << "generating Z_2 wall source at t= " << par_.tA LOG(Message) << "Generating Z_2 wall source at t= " << par_.tA
<< std::endl; << std::endl;
} }
else else
{ {
LOG(Message) << "generating Z_2 band for " << par_.tA << " <= t <= " LOG(Message) << "Generating Z_2 band for " << par_.tA << " <= t <= "
<< par_.tB << std::endl; << par_.tB << std::endl;
} }
LatticeCoordinate(t, Tp); LatticeCoordinate(t, Tp);