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Cayley causes problems if the argument is exactly ZERO

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This commit is contained in:
Peter Boyle 2021-05-14 22:19:22 -04:00
parent c8db9ddb33
commit c19cf46169
1 changed files with 11 additions and 8 deletions
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19
Grid/tensors/Tensor_exp.h
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@ -52,12 +52,17 @@ template<class vtype, int N> accelerator_inline iVector<vtype, N> Exponentiate(c
return ret; return ret;
} }
// Specialisation: Cayley-Hamilton exponential for SU(3) // Specialisation: Cayley-Hamilton exponential for SU(3)
#ifndef GRID_CUDA #if 0
template<class vtype, typename std::enable_if< GridTypeMapper<vtype>::TensorLevel == 0>::type * =nullptr> template<class vtype, typename std::enable_if< GridTypeMapper<vtype>::TensorLevel == 0>::type * =nullptr>
accelerator_inline iMatrix<vtype,3> Exponentiate(const iMatrix<vtype,3> &arg, RealD alpha , Integer Nexp = DEFAULT_MAT_EXP ) accelerator_inline iMatrix<vtype,3> Exponentiated(const iMatrix<vtype,3> &arg, RealD alpha , Integer Nexp = DEFAULT_MAT_EXP )
{
return ExponentiateCayleyHamilton(arg,alpha);
}
#endif
template<class vtype, typename std::enable_if< GridTypeMapper<vtype>::TensorLevel == 0>::type * =nullptr>
accelerator_inline iMatrix<vtype,3> ExponentiateCayleyHamilton(const iMatrix<vtype,3> &arg, RealD alpha )
{ {
// for SU(3) 2x faster than the std implementation using Nexp=12 // for SU(3) 2x faster than the std implementation using Nexp=12
// notice that it actually computes // notice that it actually computes
@ -115,8 +120,6 @@ accelerator_inline iMatrix<vtype,3> Exponentiate(const iMatrix<vtype,3> &arg, Re
return (f0 * unit + timesMinusI(f1) * arg*alpha - f2 * iQ2); return (f0 * unit + timesMinusI(f1) * arg*alpha - f2 * iQ2);
} }
#endif
// General exponential // General exponential
template<class vtype,int N, typename std::enable_if< GridTypeMapper<vtype>::TensorLevel == 0 >::type * =nullptr> template<class vtype,int N, typename std::enable_if< GridTypeMapper<vtype>::TensorLevel == 0 >::type * =nullptr>
@ -129,8 +132,8 @@ accelerator_inline iMatrix<vtype,N> Exponentiate(const iMatrix<vtype,N> &arg, Re
typedef iMatrix<vtype,N> mat; typedef iMatrix<vtype,N> mat;
mat unit(1.0); mat unit(1.0);
mat temp(unit); mat temp(unit);
for(int i=Nexp; i>=1;--i){ for(int n=Nexp; n>=1;--n){
temp *= alpha/RealD(i); temp *= alpha/RealD(n);
temp = unit + temp*arg; temp = unit + temp*arg;
} }
return temp; return temp;