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https://github.com/paboyle/Grid.git
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111 lines
3.5 KiB
C++
111 lines
3.5 KiB
C++
#include <Grid/Grid.h>
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using namespace Grid;
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template <typename T>
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bool has_correct_group_block_structure(const T& U) {
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std::cout << GridLogMessage << "Checking the structure is " << std::endl;
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std::cout << GridLogMessage << "U = ( W X ) " << std::endl;
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std::cout << GridLogMessage << " ( -X^* W^* ) " << std::endl;
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std::cout << GridLogMessage << std::endl;
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const int nsp = Nc / 2;
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Complex i(0., 1.);
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for (int c1 = 0; c1 < nsp; c1++) // check on W
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{
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for (int c2 = 0; c2 < nsp; c2++) {
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auto W = PeekIndex<ColourIndex>(U, c1, c2);
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auto Wstar = PeekIndex<ColourIndex>(U, c1 + nsp, c2 + nsp);
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auto Ww = conjugate(Wstar);
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auto amizero = sum(W - Ww);
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auto amizeroo = TensorRemove(amizero);
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assert(amizeroo.real() < 10e-6);
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amizeroo *= i;
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assert(amizeroo.real() < 10e-6);
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}
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}
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for (int c1 = 0; c1 < nsp; c1++) {
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for (int c2 = 0; c2 < nsp; c2++) {
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auto X = PeekIndex<ColourIndex>(U, c1, c2 + nsp);
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auto minusXstar = PeekIndex<ColourIndex>(U, c1 + nsp, c2);
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auto minusXx = conjugate(minusXstar);
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auto amizero = sum(X + minusXx);
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auto amizeroo = TensorRemove(amizero);
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assert(amizeroo.real() < 10e-6);
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amizeroo *= i;
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assert(amizeroo.real() < 10e-6);
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}
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}
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return true;
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};
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template <typename T>
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bool is_element_of_sp2n_group(const T& U) {
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LatticeColourMatrixD aux(U.Grid());
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LatticeColourMatrixD identity(U.Grid());
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identity = 1.0;
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LatticeColourMatrixD Omega(U.Grid());
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Sp<Nc>::Omega(Omega);
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std::cout << GridLogMessage << "Check matrix is non-zero " << std::endl;
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assert(norm2(U) > 1e-8);
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std::cout << GridLogMessage << "Unitary check" << std::endl;
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aux = U * adj(U) - identity;
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std::cout << GridLogMessage << "U adjU - 1 = " << norm2(aux) << std::endl;
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assert(norm2(aux) < 1e-8);
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aux = Omega - (U * Omega * transpose(U));
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std::cout << GridLogMessage << "Omega - U Omega transpose(U) = " << norm2(aux)
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<< std::endl;
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assert(norm2(aux) < 1e-8);
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std::cout << GridLogMessage
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<< "|Det| = " << norm2(Determinant(U)) / U.Grid()->gSites()
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<< std::endl;
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assert(norm2(Determinant(U)) / U.Grid()->gSites() - 1 < 1e-8);
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return has_correct_group_block_structure(U);
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}
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int main (int argc, char **argv)
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{
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Grid_init(&argc,&argv);
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Coordinate latt_size = GridDefaultLatt();
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Coordinate simd_layout = GridDefaultSimd(Nd,vComplex::Nsimd());
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Coordinate mpi_layout = GridDefaultMpi();
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GridCartesian Grid(latt_size,simd_layout,mpi_layout);
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GridRedBlackCartesian RBGrid(&Grid);
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LatticeGaugeField Umu(&Grid);
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LatticeColourMatrixD U(&Grid);
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std::vector<int> pseeds({1,2,3,4,5});
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std::vector<int> sseeds({6,7,8,9,10});
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GridParallelRNG pRNG(&Grid); pRNG.SeedFixedIntegers(pseeds);
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GridSerialRNG sRNG; sRNG.SeedFixedIntegers(sseeds);
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std::cout << GridLogMessage << "Checking Cold Configuration " << std::endl;
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Sp<Nc>::ColdConfiguration(pRNG,Umu);
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U = PeekIndex<LorentzIndex>(Umu,1);
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assert(is_element_of_sp2n_group(U));
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std::cout << GridLogMessage << "Checking Hot Configuration" << std::endl;
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Sp<Nc>::HotConfiguration(pRNG,Umu);
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U = PeekIndex<LorentzIndex>(Umu,1);
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assert(is_element_of_sp2n_group(U));
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std::cout << GridLogMessage << "Checking Tepid Configuration" << std::endl;
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Sp<Nc>::TepidConfiguration(pRNG,Umu);
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U = PeekIndex<LorentzIndex>(Umu,1);
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assert(is_element_of_sp2n_group(U));
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Grid_finalize();
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}
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