inline MKL_INT qr_solve_factored(MKL_INT m, MKL_INT n, MKL_INT bn, T r[], T b[], T tau[], T x[], T work[], MKL_INT len,
void (*ormqr)(const char*, const char*, const MKL_INT*, const MKL_INT*, const MKL_INT*,
const T*, const MKL_INT*, const T*, T*, const MKL_INT*, T*, const MKL_INT*, MKL_INT* info),
void (*trsm)(const CBLAS_ORDER, const CBLAS_SIDE, const CBLAS_UPLO, const CBLAS_TRANSPOSE, const CBLAS_DIAG,
const MKL_INT, const MKL_INT, const T, const T*, const MKL_INT, T*, const MKL_INT))
{
T* clone_b = Clone(m, bn, b);
char side ='L';
char tran = 'T';
MKL_INT info = 0;
ormqr(&side, &tran, &m, &bn, &n, r, &m, tau, clone_b, &m, work, &len, &info);
trsm(CblasColMajor, CblasLeft, CblasUpper, CblasNoTrans, CblasNonUnit, n, bn, 1.0, r, m, clone_b, m);
copyBtoX(m, n, bn, clone_b, x);
delete[] clone_b;
return info;
}
void TNqrsolve(double **aIn, double *bIn, double *xOut, int msize, double &det, int &info){
double *a;
a = qr_ctof(aIn, msize, msize);
double **Atemp = new double *[msize];
for(int i = 0 ; i <msize; i++){
Atemp[i] = new double[msize];
}
double *b = new double[msize];
for(int i =0 ; i < msize; i++){
b[i]=bIn[i];
}
double* tau = new double[msize];
int tempinfo=0;
tempinfo=geqrf(msize, msize, a, msize, tau);
if(tempinfo != 0)info=tempinfo;
qr_ftoc(a, Atemp, msize, msize);
det=0;
for(int i =0; i < msize; i++){
det += log(fabs(Atemp[i][i]));
}
tempinfo=0;
tempinfo=ormqr('L', 'T', msize, 1, msize, a, msize, tau, b, msize);
if(tempinfo != 0)info=tempinfo;
tempinfo=0;
tempinfo=trtrs('U', 'N', 'N', msize, 1, a, msize, b, msize);
if(tempinfo != 0)info=tempinfo;
for(int i =0; i < msize; i++){
xOut[i] = b[i];
}
//tempinfo = trrfs('U', 'N', 'N', msize, 1, a, msize, bIn, msize, xOut, msize);
delete[] a;
delete[] tau;
delete[] b;
for(int i = 0 ; i <msize; i++){
delete[] Atemp[i];
}
delete[] Atemp;
}
inline
int ormqr (char side, char trans, const A& a, const Tau& tau, C& c,
Work& work) {
#ifndef BOOST_NUMERIC_BINDINGS_NO_STRUCTURE_CHECK
BOOST_STATIC_ASSERT((boost::is_same<
typename traits::matrix_traits<A>::matrix_structure,
traits::general_t
>::value));
BOOST_STATIC_ASSERT((boost::is_same<
typename traits::matrix_traits<C>::matrix_structure,
traits::general_t
>::value));
#endif
int const m = traits::matrix_size1 (c);
int const n = traits::matrix_size2 (c);
int const k = traits::vector_size (tau);
int const lwork = traits::vector_size (work);
assert ( side=='L' || side=='R' );
assert ( trans=='N' || trans=='C' || trans=='T' );
assert ( (side=='L' ? m >= k : n >= k ) );
assert ( (side=='L' ?
m == traits::matrix_size1 (a) :
n == traits::matrix_size1 (a) ) );
assert (traits::matrix_size2 (a)==k);
assert ( (side=='L' ?
lwork >= n : lwork >= m ) );
int info;
ormqr (side, trans, m, n, k,
traits::matrix_storage (a),
traits::leading_dimension (a),
traits::vector_storage (tau),
traits::matrix_storage (c),
traits::leading_dimension (c),
traits::vector_storage (work),
lwork,
info);
return info;
}