Scalar MatrixMxN<Scalar>::determinant() const
{
unsigned int rows = (*this).rows();
unsigned int cols = (*this).cols();
if(rows!=cols)
{
std::cerr<<"Matrix not square matrix, determinant does not exit!\n";
std::exit(EXIT_FAILURE);
}
#ifdef PHYSIKA_USE_EIGEN_MATRIX
return (*ptr_eigen_matrix_MxN_).determinant();
#elif defined(PHYSIKA_USE_BUILT_IN_MATRIX)
Scalar det = 0.0;
if(rows==1)
return (*this)(0,0);
for(unsigned int j = 0; j < cols; ++j)
{
MatrixMxN<Scalar> sub_mat(rows-1,cols-1);
for(unsigned int ii = 1; ii < rows; ++ii)
for(unsigned int jj =0; jj< cols; ++jj)
{
if(jj==j) continue;
unsigned int row_idx = ii-1;
unsigned int col_idx = jj>j?jj-1:jj;
sub_mat(row_idx,col_idx) = (*this)(ii,jj);
}
if(j%2)
det -= (*this)(0,j)*sub_mat.determinant();
else
det += (*this)(0,j)*sub_mat.determinant();
}
return det;
#endif
}
MatrixMxN<Scalar> MatrixMxN<Scalar>::cofactorMatrix() const
{
unsigned int rows = (*this).rows();
unsigned int cols = (*this).cols();
if(rows!=cols)
{
std::cerr<<"Matrix not square matrix, cofactor matrix does not exit!\n";
std::exit(EXIT_FAILURE);
}
MatrixMxN<Scalar> mat(rows,cols);
for(unsigned int i = 0; i < rows; ++i)
for(unsigned int j = 0; j < cols; ++j)
{
MatrixMxN<Scalar> sub_mat(rows-1,cols-1);
for(unsigned int ii = 0; ii < rows; ++ii)
for(unsigned int jj =0; jj< cols; ++jj)
{
if((ii==i)||(jj==j)) continue;
unsigned int row_idx = ii>i?ii-1:ii;
unsigned int col_idx = jj>j?jj-1:jj;
sub_mat(row_idx,col_idx) = (*this)(ii,jj);
}
mat(i,j)=sub_mat.determinant();
if((i+j)%2)
mat(i,j)*=-1;
}
return mat;
}
pyne::Material pyne::Material::sub_mat (std::set<std::string> nucset, std::string n)
{
// Grabs a substream from this stream based on a set of strings.
// Strings can be of any form.
std::set<int> iset;
for (std::set<std::string>::iterator i = nucset.begin(); i != nucset.end(); i++)
{
iset.insert(pyne::nucname::zzaaam(*i));
};
return sub_mat(iset, n);
};
void from_frame(struct mat * pw, struct mat * PW_f, struct mat * PW_pf,
struct mat * F, struct mat * pf)
{
struct mat * t = mat(2, 1);
double a = MGET(F, 2, 0);
sub_mat(t, F, 0, 0);
struct mat * R = mat(2, 2);
MSET(R, 0, 0, cos(a));
MSET(R, 0, 1, -sin(a));
MSET(R, 1, 0, sin(a));
MSET(R, 1, 1, cos(a));
struct mat * temp = mat(2, 1);
prodMat(temp, R, pf);
addMat(pw, temp, t);
free(temp);
double px = MGET(pf, 0, 0);
double py = MGET(pf, 1, 0);
MSET(PW_f, 0, 0, 1);
MSET(PW_f, 0, 2, -py*cos(a) - px * sin(a));
MSET(PW_f, 1, 1, 1);
MSET(PW_f, 1, 2, px * cos(a) - py * sin(a));
memcpy(&PW_pf->values[0], &R->values[0], sizeof(double) * (R->rows * R->columns));
free(R);
}