mirror of
https://github.com/paboyle/Grid.git
synced 2024-09-20 01:05:38 +01:00
prettiest tests
This commit is contained in:
Alessandro Lupo
parent
559257bbe9
commit
34b11864b6
@ -9,19 +9,19 @@ STAG5_IMPL_LIST=""
|
||||
WILSON_IMPL_LIST=" \
|
||||
WilsonImplF \
|
||||
WilsonImplD \
|
||||
WilsonImplD2 \
|
||||
SpWilsonImplF \
|
||||
SpWilsonImplD \
|
||||
WilsonImplD2 \
|
||||
SpWilsonImplF \
|
||||
SpWilsonImplD \
|
||||
WilsonAdjImplF \
|
||||
WilsonAdjImplD \
|
||||
WilsonTwoIndexSymmetricImplF \
|
||||
WilsonTwoIndexSymmetricImplD \
|
||||
WilsonTwoIndexAntiSymmetricImplF \
|
||||
WilsonTwoIndexAntiSymmetricImplD \
|
||||
SpWilsonTwoIndexAntiSymmetricImplF \
|
||||
SpWilsonTwoIndexAntiSymmetricImplD \
|
||||
SpWilsonTwoIndexSymmetricImplF \
|
||||
SpWilsonTwoIndexSymmetricImplD \
|
||||
SpWilsonTwoIndexAntiSymmetricImplF \
|
||||
SpWilsonTwoIndexAntiSymmetricImplD \
|
||||
SpWilsonTwoIndexSymmetricImplF \
|
||||
SpWilsonTwoIndexSymmetricImplD \
|
||||
GparityWilsonImplF \
|
||||
GparityWilsonImplD "
|
||||
|
||||
|
||||
@ -300,3 +300,18 @@ static void Omega(LatticeColourMatrixD &in) {
|
||||
OmegaLatt = OmegaLatt + (identity * Omega);
|
||||
in = OmegaLatt;
|
||||
}
|
||||
|
||||
template <ONLY_IF_Sp, class vtype, int N>
|
||||
static void Omega(iScalar<iScalar<iMatrix<vtype, N> > > &in) {
|
||||
const int nsp=ncolour/2;
|
||||
|
||||
iScalar<iScalar<iMatrix<vtype, N> > > Omega;
|
||||
Omega = Zero();
|
||||
|
||||
for (int i = 0; i < nsp; i++) {
|
||||
Omega()()(i, nsp + i) = 1.;
|
||||
Omega()()(nsp + i, i) = -1;
|
||||
}
|
||||
|
||||
in = Omega;
|
||||
}
|
||||
|
||||
@ -20,106 +20,117 @@ static void check_dimensions() {
|
||||
}
|
||||
|
||||
template<int this_nc, TwoIndexSymmetry S>
|
||||
static void S_checks() {
|
||||
std::cout << S << std::endl;
|
||||
std::cout << 1 + S * 3 << std::endl;
|
||||
}
|
||||
static void run_symmetry_checks() {
|
||||
typedef typename Sp_TwoIndex<this_nc, S>::template iGroupMatrix<Complex> Matrix;
|
||||
const int this_n = this_nc/2;
|
||||
const int this_irrep_dim = Sp_TwoIndex<this_nc, S>::Dimension;
|
||||
const int this_algebra_dim = Sp<this_nc>::AlgebraDimension;
|
||||
Matrix eij_c;
|
||||
Matrix e_sum;
|
||||
RealD realS = S;
|
||||
|
||||
std::cout << GridLogMessage << "checking base has symmetry " << S << std::endl;
|
||||
for (int a=0; a < this_irrep_dim; a++)
|
||||
{
|
||||
Sp_TwoIndex<this_nc, S>::base(a, eij_c);
|
||||
e_sum = eij_c - realS * transpose(eij_c);
|
||||
std::cout << GridLogMessage << "e_ab - (" << S << " * e_ab^T ) = " << norm2(e_sum) << std::endl;
|
||||
assert(norm2(e_sum) < 1e-8);
|
||||
|
||||
}
|
||||
}
|
||||
|
||||
template<int this_nc, TwoIndexSymmetry S>
|
||||
static void run_traces_checks() {
|
||||
typedef typename Sp_TwoIndex<this_nc, S>::template iGroupMatrix<Complex> Matrix;
|
||||
const int this_n = this_nc/2;
|
||||
const int this_irrep_dim = Sp_TwoIndex<this_nc, S>::Dimension;
|
||||
const int this_algebra_dim = Sp<this_nc>::AlgebraDimension;
|
||||
Matrix eij_a;
|
||||
Matrix eij_b;
|
||||
Matrix Omega;
|
||||
Sp<this_nc>::Omega(Omega);
|
||||
RealD realS = S;
|
||||
RealD realA;
|
||||
|
||||
std::cout << GridLogMessage << "Checking Tr (e^(ab) Omega ) = 0 and Tr (e^(ab) e^(cd) = delta^((ab)(cd)) ) " << std::endl;
|
||||
for (int a=0; a < Sp_TwoIndex<this_nc, S>::Dimension; a++) {
|
||||
Sp_TwoIndex<this_nc, S>::base(a, eij_a);
|
||||
realA = norm2(trace(Omega*eij_a));
|
||||
std::cout << GridLogMessage << "Checkig Omega-trace for e_{ab=" << a << "} " << std::endl;
|
||||
//std::cout << GridLogMessage << "Tr ( Omega e_{ab=" << a << "} ) = " << realA << std::endl;
|
||||
assert(realA < 1e-8);
|
||||
for (int b=0; b < Sp_TwoIndex<this_nc, S>::Dimension; b++) {
|
||||
Sp_TwoIndex<this_nc, S>::base(b, eij_b);
|
||||
auto d_ab = TensorRemove(trace(eij_a * eij_b));
|
||||
#if verbose
|
||||
std::cout << GridLogMessage << "Tr( e_{ab=" << a << "} e_{cd=" << b << "} ) = " << d_ab << std::endl;
|
||||
#endif
|
||||
std::cout << GridLogMessage << "Checking orthonormality for e_{ab = " << a << "} " << std::endl;
|
||||
if (a==b) {
|
||||
assert(real(d_ab) - realS < 1e-8);
|
||||
assert(imag(d_ab) < 1e-8);
|
||||
} else {
|
||||
assert(real(d_ab) < 1e-8);
|
||||
assert(imag(d_ab) < 1e-8);
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
}
|
||||
|
||||
template<int this_nc, TwoIndexSymmetry S>
|
||||
static void run_generators_checks() {
|
||||
const int this_n = this_nc/2;
|
||||
const int this_irrep_dim = Sp_TwoIndex<this_nc, S>::Dimension;
|
||||
const int this_algebra_dim = Sp<this_nc>::AlgebraDimension;
|
||||
typedef typename Sp_TwoIndex<this_nc, S>::template iGroupMatrix<Complex> Matrix;
|
||||
int sum = 0;
|
||||
int sum_im = 0;
|
||||
Vector<Matrix> ta_fund(this_algebra_dim);
|
||||
Vector<Matrix> eij(this_irrep_dim);
|
||||
Matrix tmp_l;
|
||||
Matrix tmp_r;
|
||||
for (int n = 0; n < this_algebra_dim; n++)
|
||||
{
|
||||
Sp<this_nc>::generator(n, ta_fund[n]);
|
||||
}
|
||||
for (int a = 0; a < this_irrep_dim; a++)
|
||||
{
|
||||
Sp_TwoIndex<this_nc, S>::base(a, eij[a]);
|
||||
}
|
||||
for (int gen_id = 0; gen_id < this_algebra_dim; gen_id++)
|
||||
{
|
||||
sum = 0;
|
||||
sum_im = 0;
|
||||
std::cout << GridLogMessage << "generator number " << gen_id << std::endl;
|
||||
for (int a = 0; a < this_irrep_dim; a++)
|
||||
{
|
||||
|
||||
tmp_l = adj(eij[a])*ta_fund[gen_id]*eij[a];
|
||||
tmp_r = adj(eij[a])*eij[a]*transpose(ta_fund[gen_id]);
|
||||
#if verbose
|
||||
std::cout << GridLogMessage << " as_indx = " << a << " eDag T_F e = " << std::endl << tmp_l << std::endl;
|
||||
std::cout << GridLogMessage << " as_indx = " << a << " eDag e T_F^T = " << std::endl << tmp_r << std::endl;
|
||||
#endif
|
||||
//std::cout << GridLogMessage << " as_indx = " << a << " Tr(eDag T_F e + eDag e T_F^T) = " << TensorRemove(trace(tmp_l+tmp_r)) << std::endl;
|
||||
sum += real(TensorRemove(trace(tmp_l+tmp_r)));
|
||||
sum_im += imag(TensorRemove(trace(tmp_l+tmp_r)));
|
||||
}
|
||||
std::cout << GridLogMessage << "re-evaluated trace of the generator " << gen_id << " is " << sum << " " << sum_im << std::endl;
|
||||
assert ( sum < 1e-8) ;
|
||||
assert ( sum_im < 1e-8) ;
|
||||
}
|
||||
|
||||
}
|
||||
|
||||
template<int this_nc, TwoIndexSymmetry S>
|
||||
static void run_base_checks() {
|
||||
std::cout << GridLogMessage << " ****** " << std::endl;
|
||||
std::cout << GridLogMessage << "Running checks for Nc = " << this_nc << " TwoIndex Symmetry = " << S << std::endl;
|
||||
const int this_n = this_nc/2;
|
||||
const int this_irrep_dim = Sp_TwoIndex<this_nc, S>::Dimension;
|
||||
const int this_algebra_dim = Sp<this_nc>::AlgebraDimension;
|
||||
typedef typename Sp_TwoIndex<this_nc, S>::template iGroupMatrix<Complex> Matrix;
|
||||
typedef typename Sp_TwoIndex<this_nc, S>::template iGroupTwoIndexMatrix<Complex> ASMatrix;
|
||||
RealD realS = S;
|
||||
|
||||
Matrix Omega;
|
||||
Matrix eij_a;
|
||||
Matrix eij_b;
|
||||
Matrix eij_c;
|
||||
Matrix e_sum;
|
||||
Omega = Zero();
|
||||
for (int i = 0; i < this_n; i++)
|
||||
{
|
||||
Omega()()(i, this_n + i) = 1.;
|
||||
Omega()()(this_n + i, i) = -1;
|
||||
}
|
||||
|
||||
RealD realA;
|
||||
|
||||
std::cout << GridLogMessage << "checking base has symmetry " << S << std::endl;
|
||||
for (int a=0; a < this_irrep_dim; a++)
|
||||
{
|
||||
Sp_TwoIndex<this_nc, S>::base(a, eij_c);
|
||||
e_sum = eij_c - realS * transpose(eij_c);
|
||||
std::cout << GridLogMessage << "e_ab - (" << S << " * e_ab^T ) = " << norm2(e_sum) << std::endl;
|
||||
assert(norm2(e_sum) < 1e-8);
|
||||
|
||||
}
|
||||
std::cout << GridLogMessage << "Checking Tr (e^(ab) Omega ) = 0 and Tr (e^(ab) e^(cd) = delta^((ab)(cd)) ) " << std::endl;
|
||||
for (int a=0; a < Sp_TwoIndex<this_nc, S>::Dimension; a++) {
|
||||
Sp_TwoIndex<this_nc, S>::base(a, eij_a);
|
||||
realA = norm2(trace(Omega*eij_a));
|
||||
std::cout << GridLogMessage << "Checkig Omega-trace for e_{ab=" << a << "} " << std::endl;
|
||||
//std::cout << GridLogMessage << "Tr ( Omega e_{ab=" << a << "} ) = " << realA << std::endl;
|
||||
assert(realA < 1e-8);
|
||||
for (int b=0; b < Sp_TwoIndex<this_nc, S>::Dimension; b++) {
|
||||
Sp_TwoIndex<this_nc, S>::base(b, eij_b);
|
||||
auto d_ab = TensorRemove(trace(eij_a * eij_b));
|
||||
#if verbose
|
||||
std::cout << GridLogMessage << "Tr( e_{ab=" << a << "} e_{cd=" << b << "} ) = " << d_ab << std::endl;
|
||||
#endif
|
||||
std::cout << GridLogMessage << "Checking orthonormality for e_{ab = " << a << "} " << std::endl;
|
||||
if (a==b) {
|
||||
assert(real(d_ab) - realS < 1e-8);
|
||||
assert(imag(d_ab) < 1e-8);
|
||||
} else {
|
||||
assert(real(d_ab) < 1e-8);
|
||||
assert(imag(d_ab) < 1e-8);
|
||||
}
|
||||
}
|
||||
}
|
||||
|
||||
int sum = 0;
|
||||
int sum_im = 0;
|
||||
Vector<Matrix> ta_fund(this_algebra_dim);
|
||||
Vector<Matrix> eij(this_irrep_dim);
|
||||
Matrix tmp_l;
|
||||
Matrix tmp_r;
|
||||
for (int n = 0; n < this_algebra_dim; n++)
|
||||
{
|
||||
Sp<this_nc>::generator(n, ta_fund[n]);
|
||||
}
|
||||
for (int a = 0; a < this_irrep_dim; a++)
|
||||
{
|
||||
Sp_TwoIndex<this_nc, S>::base(a, eij[a]);
|
||||
}
|
||||
for (int gen_id = 0; gen_id < this_algebra_dim; gen_id++)
|
||||
{
|
||||
sum = 0;
|
||||
sum_im = 0;
|
||||
std::cout << GridLogMessage << "generator number " << gen_id << std::endl;
|
||||
for (int a = 0; a < this_irrep_dim; a++)
|
||||
{
|
||||
|
||||
tmp_l = adj(eij[a])*ta_fund[gen_id]*eij[a];
|
||||
tmp_r = adj(eij[a])*eij[a]*transpose(ta_fund[gen_id]);
|
||||
#if verbose
|
||||
std::cout << GridLogMessage << " as_indx = " << a << " eDag T_F e = " << std::endl << tmp_l << std::endl;
|
||||
std::cout << GridLogMessage << " as_indx = " << a << " eDag e T_F^T = " << std::endl << tmp_r << std::endl;
|
||||
#endif
|
||||
//std::cout << GridLogMessage << " as_indx = " << a << " Tr(eDag T_F e + eDag e T_F^T) = " << TensorRemove(trace(tmp_l+tmp_r)) << std::endl;
|
||||
sum += real(TensorRemove(trace(tmp_l+tmp_r)));
|
||||
sum_im += imag(TensorRemove(trace(tmp_l+tmp_r)));
|
||||
}
|
||||
std::cout << GridLogMessage << "re-evaluated trace of the generator " << gen_id << " is " << sum << " " << sum_im << std::endl;
|
||||
assert ( sum < 1e-8) ;
|
||||
assert ( sum_im < 1e-8) ;
|
||||
}
|
||||
std::cout << GridLogMessage << " ****** " << std::endl;
|
||||
std::cout << GridLogMessage << "Running checks for Nc = " << this_nc << " TwoIndex Symmetry = " << S << std::endl;
|
||||
run_symmetry_checks<this_nc, S>();
|
||||
run_traces_checks<this_nc, S>();
|
||||
run_generators_checks<this_nc, S>();
|
||||
}
|
||||
|
||||
int main(int argc, char** argv) {
|
||||
@ -136,4 +147,3 @@ int main(int argc, char** argv) {
|
||||
run_base_checks<8, Symmetric>();
|
||||
run_base_checks<8, AntiSymmetric>();
|
||||
}
|
||||
|
||||
|
||||
Loading…
Reference in New Issue
Block a user