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/*!
* \file
* \brief Matrix Class Implementation
* \author Tony Ottosson, Tobias Ringstrom, Adam Piatyszek and Conrad Sanderson
*
* -------------------------------------------------------------------------
*
* IT++ - C++ library of mathematical, signal processing, speech processing,
* and communications classes and functions
*
* Copyright (C) 1995-2008 (see AUTHORS file for a list of contributors)
*
* This program is free software; you can redistribute it and/or modify
* it under the terms of the GNU General Public License as published by
* the Free Software Foundation; either version 2 of the License, or
* (at your option) any later version.
*
* This program is distributed in the hope that it will be useful,
* but WITHOUT ANY WARRANTY; without even the implied warranty of
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
* GNU General Public License for more details.
*
* You should have received a copy of the GNU General Public License
* along with this program; if not, write to the Free Software
* Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA
*
* -------------------------------------------------------------------------
*/
#include <itpp/base/mat.h>
#if defined (HAVE_BLAS)
# include <itpp/base/blas.h>
#endif
//! \cond
namespace itpp {
template<>
cmat cmat::hermitian_transpose() const
{
cmat temp(no_cols, no_rows);
for (int i=0; i<no_rows; i++)
for (int j=0; j<no_cols; j++)
temp(j,i) = std::conj(operator()(i,j));
return temp;
}
// -------- Multiplication operator -------------
#if defined(HAVE_BLAS)
template<>
mat& mat::operator*=(const mat &m)
{
it_assert_debug(no_cols == m.no_rows,"mat::operator*=(): Wrong sizes");
mat r(no_rows, m.no_cols); // unnecessary memory??
double alpha = 1.0;
double beta = 0.0;
char trans = 'n';
blas::dgemm_(&trans, &trans, &no_rows, &m.no_cols, &no_cols, &alpha, data,
&no_rows, m.data, &m.no_rows, &beta, r.data, &r.no_rows);
operator=(r); // time consuming
return *this;
}
template<>
cmat& cmat::operator*=(const cmat &m)
{
it_assert_debug(no_cols == m.no_rows,"cmat::operator*=(): Wrong sizes");
cmat r(no_rows, m.no_cols); // unnecessary memory??
std::complex<double> alpha = std::complex<double>(1.0);
std::complex<double> beta = std::complex<double>(0.0);
char trans = 'n';
blas::zgemm_(&trans, &trans, &no_rows, &m.no_cols, &no_cols, &alpha, data,
&no_rows, m.data, &m.no_rows, &beta, r.data, &r.no_rows);
operator=(r); // time consuming
return *this;
}
template<>
mat operator*(const mat &m1, const mat &m2)
{
it_assert_debug(m1.no_cols == m2.no_rows,"mat::operator*(): Wrong sizes");
mat r(m1.no_rows, m2.no_cols);
double alpha = 1.0;
double beta = 0.0;
char trans = 'n';
blas::dgemm_(&trans, &trans, &m1.no_rows, &m2.no_cols, &m1.no_cols, &alpha,
m1.data, &m1.no_rows, m2.data, &m2.no_rows, &beta, r.data,
&r.no_rows);
return r;
}
template<>
cmat operator*(const cmat &m1, const cmat &m2)
{
it_assert_debug(m1.no_cols == m2.no_rows,"cmat::operator*(): Wrong sizes");
cmat r(m1.no_rows, m2.no_cols);
std::complex<double> alpha = std::complex<double>(1.0);
std::complex<double> beta = std::complex<double>(0.0);
char trans = 'n';
blas::zgemm_(&trans, &trans, &m1.no_rows, &m2.no_cols, &m1.no_cols, &alpha,
m1.data, &m1.no_rows, m2.data, &m2.no_rows, &beta, r.data,
&r.no_rows);
return r;
}
template<>
vec operator*(const mat &m, const vec &v)
{
it_assert_debug(m.no_cols == v.size(), "mat::operator*(): Wrong sizes");
vec r(m.no_rows);
double alpha = 1.0;
double beta = 0.0;
char trans = 'n';
int incr = 1;
blas::dgemv_(&trans, &m.no_rows, &m.no_cols, &alpha, m.data, &m.no_rows,
v._data(), &incr, &beta, r._data(), &incr);
return r;
}
template<>
cvec operator*(const cmat &m, const cvec &v)
{
it_assert_debug(m.no_cols == v.size(), "cmat::operator*(): Wrong sizes");
cvec r(m.no_rows);
std::complex<double> alpha = std::complex<double>(1.0);
std::complex<double> beta = std::complex<double>(0.0);
char trans = 'n';
int incr = 1;
blas::zgemv_(&trans, &m.no_rows, &m.no_cols, &alpha, m.data, &m.no_rows,
v._data(), &incr, &beta, r._data(), &incr);
return r;
}
#endif // HAVE_BLAS
//---------------------------------------------------------------------
// Instantiations
//---------------------------------------------------------------------
// class instantiations
template class Mat<double>;
template class Mat<std::complex<double> >;
template class Mat<int>;
template class Mat<short int>;
template class Mat<bin>;
// addition operators
template mat operator+(const mat &m1, const mat &m2);
template cmat operator+(const cmat &m1, const cmat &m2);
template imat operator+(const imat &m1, const imat &m2);
template smat operator+(const smat &m1, const smat &m2);
template bmat operator+(const bmat &m1, const bmat &m2);
template mat operator+(const mat &m, double t);
template cmat operator+(const cmat &m, std::complex<double> t);
template imat operator+(const imat &m, int t);
template smat operator+(const smat &m, short t);
template bmat operator+(const bmat &m, bin t);
template mat operator+(double t, const mat &m);
template cmat operator+(std::complex<double> t, const cmat &m);
template imat operator+(int t, const imat &m);
template smat operator+(short t, const smat &m);
template bmat operator+(bin t, const bmat &m);
// subraction operators
template mat operator-(const mat &m1, const mat &m2);
template cmat operator-(const cmat &m1, const cmat &m2);
template imat operator-(const imat &m1, const imat &m2);
template smat operator-(const smat &m1, const smat &m2);
template bmat operator-(const bmat &m1, const bmat &m2);
template mat operator-(const mat &m, double t);
template cmat operator-(const cmat &m, std::complex<double> t);
template imat operator-(const imat &m, int t);
template smat operator-(const smat &m, short t);
template bmat operator-(const bmat &m, bin t);
template mat operator-(double t, const mat &m);
template cmat operator-(std::complex<double> t, const cmat &m);
template imat operator-(int t, const imat &m);
template smat operator-(short t, const smat &m);
template bmat operator-(bin t, const bmat &m);
// unary minus
template mat operator-(const mat &m);
template cmat operator-(const cmat &m);
template imat operator-(const imat &m);
template smat operator-(const smat &m);
template bmat operator-(const bmat &m);
// multiplication operators
#if !defined(HAVE_BLAS)
template mat operator*(const mat &m1, const mat &m2);
template cmat operator*(const cmat &m1, const cmat &m2);
#endif
template imat operator*(const imat &m1, const imat &m2);
template smat operator*(const smat &m1, const smat &m2);
template bmat operator*(const bmat &m1, const bmat &m2);
#if !defined(HAVE_BLAS)
template vec operator*(const mat &m, const vec &v);
template cvec operator*(const cmat &m, const cvec &v);
#endif
template ivec operator*(const imat &m, const ivec &v);
template svec operator*(const smat &m, const svec &v);
template bvec operator*(const bmat &m, const bvec &v);
template mat operator*(const vec &v, const mat &m);
template cmat operator*(const cvec &v, const cmat &m);
template imat operator*(const ivec &v, const imat &m);
template smat operator*(const svec &v, const smat &m);
template bmat operator*(const bvec &v, const bmat &m);
template mat operator*(const mat &m, double t);
template cmat operator*(const cmat &m, std::complex<double> t);
template imat operator*(const imat &m, int t);
template smat operator*(const smat &m, short t);
template bmat operator*(const bmat &m, bin t);
template mat operator*(double t, const mat &m);
template cmat operator*(std::complex<double> t, const cmat &m);
template imat operator*(int t, const imat &m);
template smat operator*(short t, const smat &m);
template bmat operator*(bin t, const bmat &m);
// elementwise multiplication
template mat elem_mult(const mat &m1, const mat &m2);
template cmat elem_mult(const cmat &m1, const cmat &m2);
template imat elem_mult(const imat &m1, const imat &m2);
template smat elem_mult(const smat &m1, const smat &m2);
template bmat elem_mult(const bmat &m1, const bmat &m2);
template void elem_mult_out(const mat &m1, const mat &m2, mat &out);
template void elem_mult_out(const cmat &m1, const cmat &m2, cmat &out);
template void elem_mult_out(const imat &m1, const imat &m2, imat &out);
template void elem_mult_out(const smat &m1, const smat &m2, smat &out);
template void elem_mult_out(const bmat &m1, const bmat &m2, bmat &out);
template void elem_mult_out(const mat &m1, const mat &m2,
const mat &m3, mat &out);
template void elem_mult_out(const cmat &m1, const cmat &m2,
const cmat &m3, cmat &out);
template void elem_mult_out(const imat &m1, const imat &m2,
const imat &m3, imat &out);
template void elem_mult_out(const smat &m1, const smat &m2,
const smat &m3, smat &out);
template void elem_mult_out(const bmat &m1, const bmat &m2,
const bmat &m3, bmat &out);
template void elem_mult_out(const mat &m1, const mat &m2, const mat &m3,
const mat &m4, mat &out);
template void elem_mult_out(const cmat &m1, const cmat &m2,
const cmat &m3, const cmat &m4, cmat &out);
template void elem_mult_out(const imat &m1, const imat &m2,
const imat &m3, const imat &m4, imat &out);
template void elem_mult_out(const smat &m1, const smat &m2,
const smat &m3, const smat &m4, smat &out);
template void elem_mult_out(const bmat &m1, const bmat &m2,
const bmat &m3, const bmat &m4, bmat &out);
template void elem_mult_inplace(const mat &m1, mat &m2);
template void elem_mult_inplace(const cmat &m1, cmat &m2);
template void elem_mult_inplace(const imat &m1, imat &m2);
template void elem_mult_inplace(const smat &m1, smat &m2);
template void elem_mult_inplace(const bmat &m1, bmat &m2);
template double elem_mult_sum(const mat &m1, const mat &m2);
template std::complex<double> elem_mult_sum(const cmat &m1, const cmat &m2);
template int elem_mult_sum(const imat &m1, const imat &m2);
template short elem_mult_sum(const smat &m1, const smat &m2);
template bin elem_mult_sum(const bmat &m1, const bmat &m2);
// division operator
template mat operator/(const mat &m, double t);
template cmat operator/(const cmat &m, std::complex<double> t);
template imat operator/(const imat &m, int t);
template smat operator/(const smat &m, short t);
template bmat operator/(const bmat &m, bin t);
// elementwise division
template mat elem_div(const mat &m1, const mat &m2);
template cmat elem_div(const cmat &m1, const cmat &m2);
template imat elem_div(const imat &m1, const imat &m2);
template smat elem_div(const smat &m1, const smat &m2);
template bmat elem_div(const bmat &m1, const bmat &m2);
template void elem_div_out(const mat &m1, const mat &m2, mat &out);
template void elem_div_out(const cmat &m1, const cmat &m2, cmat &out);
template void elem_div_out(const imat &m1, const imat &m2, imat &out);
template void elem_div_out(const smat &m1, const smat &m2, smat &out);
template void elem_div_out(const bmat &m1, const bmat &m2, bmat &out);
template double elem_div_sum(const mat &m1, const mat &m2);
template std::complex<double> elem_div_sum(const cmat &m1,
const cmat &m2);
template int elem_div_sum(const imat &m1, const imat &m2);
template short elem_div_sum(const smat &m1, const smat &m2);
template bin elem_div_sum(const bmat &m1, const bmat &m2);
// concatenation
template mat concat_horizontal(const mat &m1, const mat &m2);
template cmat concat_horizontal(const cmat &m1, const cmat &m2);
template imat concat_horizontal(const imat &m1, const imat &m2);
template smat concat_horizontal(const smat &m1, const smat &m2);
template bmat concat_horizontal(const bmat &m1, const bmat &m2);
template mat concat_vertical(const mat &m1, const mat &m2);
template cmat concat_vertical(const cmat &m1, const cmat &m2);
template imat concat_vertical(const imat &m1, const imat &m2);
template smat concat_vertical(const smat &m1, const smat &m2);
template bmat concat_vertical(const bmat &m1, const bmat &m2);
// I/O streams
template std::ostream &operator<<(std::ostream &os, const mat &m);
template std::ostream &operator<<(std::ostream &os, const cmat &m);
template std::ostream &operator<<(std::ostream &os, const imat &m);
template std::ostream &operator<<(std::ostream &os, const smat &m);
template std::ostream &operator<<(std::ostream &os, const bmat &m);
template std::istream &operator>>(std::istream &is, mat &m);
template std::istream &operator>>(std::istream &is, cmat &m);
template std::istream &operator>>(std::istream &is, imat &m);
template std::istream &operator>>(std::istream &is, smat &m);
template std::istream &operator>>(std::istream &is, bmat &m);
} // namespace itpp
//! \endcond
|
