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Taken care of algebra tests
This commit is contained in:
Julian Lenz
parent
42b0e1125d
commit
ac0a74be0d
@ -68,7 +68,6 @@ void test_group_projections(T U) {
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LatticeColourMatrixD identity(U.Grid());
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identity = 1.0;
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std::cout <<GridLogMessage << std::endl;
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std::cout << GridLogMessage << "# # # #" << std::endl;
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std::cout << GridLogMessage << "Group" << std::endl;
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std::cout << GridLogMessage << "# # # #" << std::endl;
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@ -99,6 +98,102 @@ void test_group_projections(T U) {
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assert(is_element_of_sp2n_group(U));
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}
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template<typename T>
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bool has_correct_algebra_block_structure(const T& U) {
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const int nsp = Nc / 2;
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Complex i(0., 1.);
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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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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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{
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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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{
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for (int c2 = 0; c2 < nsp; c2++)
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{
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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_algebra(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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aux = U - adj(U);
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std::cout << GridLogMessage << "T - Tda = " << norm2(aux) << std::endl;
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assert( norm2(aux) < 1e-8);
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aux = U + adj(U);
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std::cout << GridLogMessage << "T + Tda = " << norm2(aux) << std::endl;
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assert( norm2(aux) < 1e-8);
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std::cout << GridLogMessage << "Check that Omega U Omega = conj(U)" << std::endl;
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LatticeColourMatrixD Omega(U.Grid());
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Sp<Nc>::Omega(Omega);
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aux = Omega*U*Omega - conjugate(U);
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std::cout << GridLogMessage << "Omega U Omega - conj(U) = " << norm2(aux) << std::endl;
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assert( norm2(aux) < 1e-8);
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return has_correct_algebra_block_structure(U);
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}
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template< typename T>
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void test_algebra_projections(T U) {
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RealD Delta = 666.;
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LatticeColourMatrixD tmp(U.Grid());
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LatticeColourMatrixD identity(U.Grid());
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identity = 1.0;
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std::cout << GridLogMessage << "# # # #" << std::endl;
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std::cout << GridLogMessage << "Algebra" << std::endl;
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std::cout << GridLogMessage << "# # # #" << std::endl;
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std::cout <<GridLogMessage << std::endl;
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std::string name="SpTa";
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std::cout << GridLogMessage << "Testing "<< name << std::endl;
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std::cout << GridLogMessage << "Apply to deformed matrix" << std::endl;
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U = U + Delta*identity;
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U = SpTa(U);
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assert(is_element_of_sp2n_algebra(U));
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name="TaProj";
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std::cout << GridLogMessage << "Testing "<< name << std::endl;
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std::cout << GridLogMessage << "Apply to deformed matrix" << std::endl;
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U = U + Delta*identity;
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Sp<Nc>::taProj(U, tmp);
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U = tmp;
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assert(is_element_of_sp2n_algebra(U));
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}
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int main (int argc, char **argv)
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@ -139,155 +234,9 @@ int main (int argc, char **argv)
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SU<Nc>::HotConfiguration(pRNG,Umu);
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U = PeekIndex<LorentzIndex>(Umu,0);
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aux = U*adj(U) - identity;
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std::cout << GridLogMessage << "Starting with random SUn matrix " << std::endl;
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std::cout << GridLogMessage << "Unitary check " << std::endl;
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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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std::cout <<GridLogMessage << std::endl;
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if (Nc != 2)
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{
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std::cout << GridLogMessage << "This matrix should not leave Omega invariant, expect a warning" << std::endl;
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}
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Sp<Nc>::OmegaInvariance(U);
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std::cout <<GridLogMessage << std::endl;
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U = U + epsilon*identity;
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aux = U*adj(U) - identity;
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std::cout << GridLogMessage << "Unitary matrix deformed " << std::endl;
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std::cout << GridLogMessage << "now U adjU - 1 = " << norm2(aux) << std::endl;
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test_group_projections(U);
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std::cout <<GridLogMessage << std::endl;
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std::cout << GridLogMessage << "# # # #" << std::endl;
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std::cout << GridLogMessage << "Algebra" << std::endl;
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std::cout << GridLogMessage << "# # # #" << std::endl;
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std::cout <<GridLogMessage << std::endl;
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std::cout << GridLogMessage << "Testing SpTa" << std::endl;
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U = PeekIndex<LorentzIndex>(Umu,1);
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U = U + Delta*identity;
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std::cout << GridLogMessage << "Matrix deformed " << std::endl;
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std::cout << GridLogMessage << "Apply SpTa to deformed matrix" << std::endl;
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U = SpTa(U);
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aux = U - adj(U);
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std::cout << GridLogMessage << "SpTa ::: T - Tda = " << norm2(aux) << std::endl;
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aux = U + adj(U);
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std::cout << GridLogMessage << "SpTa ::: T + Tda = " << norm2(aux) << std::endl;
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std::cout << GridLogMessage << "Check that Omega U Omega = conj(U)" << std::endl;
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LatticeColourMatrixD Omega(&Grid);
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Sp<Nc>::Omega(Omega);
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aux = Omega*U*Omega - conjugate(U);
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std::cout << GridLogMessage << "Omega U Omega - conj(U) = " << norm2(aux) << std::endl;
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assert( norm2(aux) < 1e-8);
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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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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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{
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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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{
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for (int c2 = 0; c2 < nsp; c2++)
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{
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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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//test Ta
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/*
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U = U + 666.*identity;
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Up = Ta(U);
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aux = Up - adj(Up);
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std::cout << GridLogMessage << "TA !!! T - Tda = " << norm2(aux) << std::endl;
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aux = Up + adj(Up);
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std::cout << GridLogMessage << "TA !!! T + Tda = " << norm2(aux) << std::endl;*/
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// test taProj
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std::cout << GridLogMessage << "Testing taProj" << std::endl;
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U = U + Delta*identity;
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std::cout << GridLogMessage << "Matrix deformed " << std::endl;
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std::cout << GridLogMessage << "Apply taProj to deformed matrix" << std::endl;
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Sp<Nc>::taProj(U, Up);
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aux = Up - adj(Up);
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std::cout << GridLogMessage << "taProj ::: T - Tda = " << norm2(aux) << std::endl;
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aux = Up + adj(Up);
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std::cout << GridLogMessage << "taProj ::: T + Tda = " << norm2(aux) << std::endl;
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std::cout << GridLogMessage << "Check that Omega U Omega = conj(U)" << std::endl;
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Sp<Nc>::Omega(Omega);
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aux = Omega*Up*Omega - conjugate(Up);
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std::cout << GridLogMessage << "Omega U Omega - conj(U) = " << norm2(aux) << std::endl;
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assert( norm2(aux) < 1e-8);
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// before it was
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aux = Omega*U*Omega - conjugate(U);
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std::cout << GridLogMessage << " before taProj Omega U Omega - conj(U) = " << norm2(aux) << std::endl;
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U = Up;
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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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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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{
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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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{
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for (int c2 = 0; c2 < nsp; c2++)
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{
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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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test_algebra_projections(U);
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Grid_finalize();
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