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Better tests

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This commit is contained in:
Alessandro Lupo
2021-10-13 15:07:23 +01:00
parent 0d6674e489
commit 4e31e4e094
4 changed files with 161 additions and 73 deletions
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55
tests/sp2n/Test_project_on_Sp.cc
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@ -4,7 +4,7 @@ using namespace Grid;
int main (int argc, char **argv)
{
Grid_init(&argc,&argv);
Grid_init(&argc,&argv);
Coordinate latt_size = GridDefaultLatt();
@ -20,6 +20,8 @@ int main (int argc, char **argv)
LatticeColourMatrixD aux(&Grid);
LatticeColourMatrixD identity(&Grid);
const int nsp = Nc / 2;
identity = 1.0;
RealD epsilon = 0.01;
Complex i(0., 1.);
@ -34,20 +36,28 @@ int main (int argc, char **argv)
SU<Nc>::HotConfiguration(pRNG,Umu);
U = PeekIndex<LorentzIndex>(Umu,2);
// it is unitary
aux = U*adj(U) - identity;
std::cout <<GridLogMessage << std::endl;
std::cout << GridLogMessage << "Unitary check of starting random SUn matrix " << std::endl;
std::cout << GridLogMessage << "Starting with random SUn matrix " << std::endl;
std::cout << GridLogMessage << "Unitary check " << std::endl;
std::cout <<GridLogMessage << "U adjU - 1 = " << norm2(aux) << std::endl;
assert ( norm2(aux) < 1e-8 );
std::cout <<GridLogMessage << std::endl;
if (Nc != 2)
{
std::cout << "This matrix should not leave Omega invariant, expect a warning" << std::endl;
}
Sp<nsp>::OmegaInvariance(U);
std::cout <<GridLogMessage << std::endl;
U = U + epsilon*identity;
aux = U*adj(U) - identity;
std::cout << GridLogMessage << "Unitary matrix modified " << std::endl;
std::cout << GridLogMessage << "Unitary matrix deformed " << std::endl;
std::cout << GridLogMessage << "now U adjU - 1 = " << norm2(aux) << std::endl;
std::cout <<GridLogMessage << std::endl;
std::cout << "This matrix should not leave Omega invariant, expect a warning" << std::endl;
Sp<nsp>::OmegaInvariance(U);
std::cout <<GridLogMessage << std::endl;
std::cout << GridLogMessage << "Projecting on Sp2n " << std::endl;
@ -65,18 +75,17 @@ int main (int argc, char **argv)
std::cout << GridLogMessage << "Det after Projection on Sp2n = " << norm2( Determinant(U) ) / vol << std::endl;
std::cout <<GridLogMessage << std::endl;
std::cout <<GridLogMessage << std::endl;
// actual sp2n check
std::cout << GridLogMessage << "Checking invariance after projection "<< std::endl;
Sp<nsp>::OmegaInvariance(U);
// checks on elements
// an Sp2n matrix is a block matrix of the type
//
//
// U = ( W X )
// ( -X^* W^* )
//
// will check this
//
std::cout << GridLogMessage << "Checking that U[ i , j ] - conj U[ i+N/2, j+N/2 ] = 0 for i = 0, ... , N/2 " << std::endl;
std::cout << GridLogMessage << "Checking the structure is " << std::endl;
std::cout << GridLogMessage << "U = ( W X ) " << std::endl;
std::cout << GridLogMessage << " ( -X^* W^* ) " << std::endl;
std::cout <<GridLogMessage << std::endl;
const int nsp = Nc / 2;
for (int c1 = 0; c1 < nsp; c1++) //check on W
{
for (int c2 = 0; c2 < nsp; c2++)
@ -86,17 +95,13 @@ int main (int argc, char **argv)
auto Ww = conjugate( Wstar );
auto amizero = sum(W - Ww);
auto amizeroo = TensorRemove(amizero);
std::cout << GridLogMessage << "diff(real,im) = " << amizeroo << std::endl;
assert( amizeroo.real() < 10e-6 );
amizeroo *= i;
assert( amizeroo.real() < 10e-6 );
std::cout << GridLogMessage << "ok " << std::endl;
}
}
std::cout <<GridLogMessage << std::endl;
std::cout << GridLogMessage << "Checking that U [ i , j+N/2 ] + conj U [ i+N/2, j+N/2 ] = 0 for i = 0, ... , N/2 " << std::endl;
std::cout <<GridLogMessage << std::endl;
for (int c1 = 0; c1 < nsp ; c1++)
{
for (int c2 = 0; c2 < nsp; c2++)
@ -106,16 +111,16 @@ int main (int argc, char **argv)
auto minusXx = conjugate(minusXstar);
auto amizero = sum (X + minusXx);
auto amizeroo = TensorRemove(amizero);
std::cout << GridLogMessage << "diff(real,im) = " << amizeroo << std::endl;
assert( amizeroo.real() < 10e-6 );
amizeroo *= i;
assert( amizeroo.real() < 10e-6 );
std::cout << GridLogMessage << "ok " << std::endl;
}
}
std::cout << GridLogMessage << "ok" << std::endl;
// an explicit check for sp2
/*
if (Nc == 2)
{
assert(Nc==2);
@ -141,13 +146,7 @@ int main (int argc, char **argv)
std::cout << GridLogMessage << "now A = " << A << std::endl;
std::cout << GridLogMessage << "A(0,0) - conjA(1,1) = " << A()()(0,0) - adj ( A()()(1,1) )<< std::endl;
std::cout << GridLogMessage << "A(0,1) + conjA(1,0) = " << A()()(0,1) + adj ( A()()(1,0) )<< std::endl;
}
}*/
Grid_finalize();