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|
// Copyright 2008-2016 Conrad Sanderson (http://conradsanderson.id.au)
// Copyright 2008-2016 National ICT Australia (NICTA)
//
// Licensed under the Apache License, Version 2.0 (the "License");
// you may not use this file except in compliance with the License.
// You may obtain a copy of the License at
// http://www.apache.org/licenses/LICENSE-2.0
//
// Unless required by applicable law or agreed to in writing, software
// distributed under the License is distributed on an "AS IS" BASIS,
// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
// See the License for the specific language governing permissions and
// limitations under the License.
// ------------------------------------------------------------------------
//! \addtogroup glue_times
//! @{
template<bool do_inv_detect>
template<typename T1, typename T2>
arma_hot
inline
void
glue_times_redirect2_helper<do_inv_detect>::apply(Mat<typename T1::elem_type>& out, const Glue<T1,T2,glue_times>& X)
{
arma_extra_debug_sigprint();
typedef typename T1::elem_type eT;
const partial_unwrap<T1> tmp1(X.A);
const partial_unwrap<T2> tmp2(X.B);
const typename partial_unwrap<T1>::stored_type& A = tmp1.M;
const typename partial_unwrap<T2>::stored_type& B = tmp2.M;
const bool use_alpha = partial_unwrap<T1>::do_times || partial_unwrap<T2>::do_times;
const eT alpha = use_alpha ? (tmp1.get_val() * tmp2.get_val()) : eT(0);
const bool alias = tmp1.is_alias(out) || tmp2.is_alias(out);
if(alias == false)
{
glue_times::apply
<
eT,
partial_unwrap<T1>::do_trans,
partial_unwrap<T2>::do_trans,
(partial_unwrap<T1>::do_times || partial_unwrap<T2>::do_times)
>
(out, A, B, alpha);
}
else
{
Mat<eT> tmp;
glue_times::apply
<
eT,
partial_unwrap<T1>::do_trans,
partial_unwrap<T2>::do_trans,
(partial_unwrap<T1>::do_times || partial_unwrap<T2>::do_times)
>
(tmp, A, B, alpha);
out.steal_mem(tmp);
}
}
template<typename T1, typename T2>
arma_hot
inline
void
glue_times_redirect2_helper<true>::apply(Mat<typename T1::elem_type>& out, const Glue<T1,T2,glue_times>& X)
{
arma_extra_debug_sigprint();
typedef typename T1::elem_type eT;
if(strip_inv<T1>::do_inv == true)
{
// replace inv(A)*B with solve(A,B)
arma_extra_debug_print("glue_times_redirect<2>::apply(): detected inv(A)*B");
const strip_inv<T1> A_strip(X.A);
Mat<eT> A = A_strip.M;
arma_debug_check( (A.is_square() == false), "inv(): given matrix must be square sized" );
if(strip_inv<T1>::do_inv_sympd)
{
// if(auxlib::rudimentary_sym_check(A) == false)
// {
// if(is_cx<eT>::no ) { arma_debug_warn("inv_sympd(): given matrix is not symmetric"); }
// if(is_cx<eT>::yes) { arma_debug_warn("inv_sympd(): given matrix is not hermitian"); }
//
// out.soft_reset();
// arma_stop_runtime_error("matrix multiplication: problem with matrix inverse; suggest to use solve() instead");
//
// return;
// }
if( (arma_config::debug) && (auxlib::rudimentary_sym_check(A) == false) )
{
if(is_cx<eT>::no ) { arma_debug_warn("inv_sympd(): given matrix is not symmetric"); }
if(is_cx<eT>::yes) { arma_debug_warn("inv_sympd(): given matrix is not hermitian"); }
}
}
const unwrap_check<T2> B_tmp(X.B, out);
const Mat<eT>& B = B_tmp.M;
arma_debug_assert_mul_size(A, B, "matrix multiplication");
// TODO: detect sympd via sympd_helper::guess_sympd(A) ?
#if defined(ARMA_OPTIMISE_SYMPD)
const bool status = (strip_inv<T1>::do_inv_sympd) ? auxlib::solve_sympd_fast(out, A, B) : auxlib::solve_square_fast(out, A, B);
#else
const bool status = auxlib::solve_square_fast(out, A, B);
#endif
if(status == false)
{
out.soft_reset();
arma_stop_runtime_error("matrix multiplication: problem with matrix inverse; suggest to use solve() instead");
}
return;
}
#if defined(ARMA_OPTIMISE_SYMPD)
{
if(strip_inv<T2>::do_inv_sympd)
{
// replace A*inv_sympd(B) with trans( solve(trans(B),trans(A)) )
// transpose of B is avoided as B is explicitly marked as symmetric
arma_extra_debug_print("glue_times_redirect<2>::apply(): detected A*inv_sympd(B)");
const Mat<eT> At = trans(X.A);
const strip_inv<T2> B_strip(X.B);
Mat<eT> B = B_strip.M;
arma_debug_check( (B.is_square() == false), "inv_sympd(): given matrix must be square sized" );
// if(auxlib::rudimentary_sym_check(B) == false)
// {
// if(is_cx<eT>::no ) { arma_debug_warn("inv_sympd(): given matrix is not symmetric"); }
// if(is_cx<eT>::yes) { arma_debug_warn("inv_sympd(): given matrix is not hermitian"); }
//
// out.soft_reset();
// arma_stop_runtime_error("matrix multiplication: problem with matrix inverse; suggest to use solve() instead");
//
// return;
// }
if( (arma_config::debug) && (auxlib::rudimentary_sym_check(B) == false) )
{
if(is_cx<eT>::no ) { arma_debug_warn("inv_sympd(): given matrix is not symmetric"); }
if(is_cx<eT>::yes) { arma_debug_warn("inv_sympd(): given matrix is not hermitian"); }
}
arma_debug_assert_mul_size(At.n_cols, At.n_rows, B.n_rows, B.n_cols, "matrix multiplication");
const bool status = auxlib::solve_sympd_fast(out, B, At);
if(status == false)
{
out.soft_reset();
arma_stop_runtime_error("matrix multiplication: problem with matrix inverse; suggest to use solve() instead");
}
out = trans(out);
return;
}
}
#endif
glue_times_redirect2_helper<false>::apply(out, X);
}
template<bool do_inv_detect>
template<typename T1, typename T2, typename T3>
arma_hot
inline
void
glue_times_redirect3_helper<do_inv_detect>::apply(Mat<typename T1::elem_type>& out, const Glue< Glue<T1,T2,glue_times>, T3, glue_times>& X)
{
arma_extra_debug_sigprint();
typedef typename T1::elem_type eT;
// we have exactly 3 objects
// hence we can safely expand X as X.A.A, X.A.B and X.B
const partial_unwrap<T1> tmp1(X.A.A);
const partial_unwrap<T2> tmp2(X.A.B);
const partial_unwrap<T3> tmp3(X.B );
const typename partial_unwrap<T1>::stored_type& A = tmp1.M;
const typename partial_unwrap<T2>::stored_type& B = tmp2.M;
const typename partial_unwrap<T3>::stored_type& C = tmp3.M;
const bool use_alpha = partial_unwrap<T1>::do_times || partial_unwrap<T2>::do_times || partial_unwrap<T3>::do_times;
const eT alpha = use_alpha ? (tmp1.get_val() * tmp2.get_val() * tmp3.get_val()) : eT(0);
const bool alias = tmp1.is_alias(out) || tmp2.is_alias(out) || tmp3.is_alias(out);
if(alias == false)
{
glue_times::apply
<
eT,
partial_unwrap<T1>::do_trans,
partial_unwrap<T2>::do_trans,
partial_unwrap<T3>::do_trans,
(partial_unwrap<T1>::do_times || partial_unwrap<T2>::do_times || partial_unwrap<T3>::do_times)
>
(out, A, B, C, alpha);
}
else
{
Mat<eT> tmp;
glue_times::apply
<
eT,
partial_unwrap<T1>::do_trans,
partial_unwrap<T2>::do_trans,
partial_unwrap<T3>::do_trans,
(partial_unwrap<T1>::do_times || partial_unwrap<T2>::do_times || partial_unwrap<T3>::do_times)
>
(tmp, A, B, C, alpha);
out.steal_mem(tmp);
}
}
template<typename T1, typename T2, typename T3>
arma_hot
inline
void
glue_times_redirect3_helper<true>::apply(Mat<typename T1::elem_type>& out, const Glue< Glue<T1,T2,glue_times>, T3, glue_times>& X)
{
arma_extra_debug_sigprint();
typedef typename T1::elem_type eT;
if(strip_inv<T1>::do_inv == true)
{
// replace inv(A)*B*C with solve(A,B*C);
arma_extra_debug_print("glue_times_redirect<3>::apply(): detected inv(A)*B*C");
const strip_inv<T1> A_strip(X.A.A);
Mat<eT> A = A_strip.M;
arma_debug_check( (A.is_square() == false), "inv(): given matrix must be square sized" );
const partial_unwrap<T2> tmp2(X.A.B);
const partial_unwrap<T3> tmp3(X.B );
const typename partial_unwrap<T2>::stored_type& B = tmp2.M;
const typename partial_unwrap<T3>::stored_type& C = tmp3.M;
const bool use_alpha = partial_unwrap<T2>::do_times || partial_unwrap<T3>::do_times;
const eT alpha = use_alpha ? (tmp2.get_val() * tmp3.get_val()) : eT(0);
Mat<eT> BC;
glue_times::apply
<
eT,
partial_unwrap<T2>::do_trans,
partial_unwrap<T3>::do_trans,
(partial_unwrap<T2>::do_times || partial_unwrap<T3>::do_times)
>
(BC, B, C, alpha);
arma_debug_assert_mul_size(A, BC, "matrix multiplication");
// TODO: detect sympd via sympd_helper::guess_sympd(A) ?
#if defined(ARMA_OPTIMISE_SYMPD)
const bool status = (strip_inv<T1>::do_inv_sympd) ? auxlib::solve_sympd_fast(out, A, BC) : auxlib::solve_square_fast(out, A, BC);
#else
const bool status = auxlib::solve_square_fast(out, A, BC);
#endif
if(status == false)
{
out.soft_reset();
arma_stop_runtime_error("matrix multiplication: problem with matrix inverse; suggest to use solve() instead");
}
return;
}
if(strip_inv<T2>::do_inv == true)
{
// replace A*inv(B)*C with A*solve(B,C)
arma_extra_debug_print("glue_times_redirect<3>::apply(): detected A*inv(B)*C");
const strip_inv<T2> B_strip(X.A.B);
Mat<eT> B = B_strip.M;
arma_debug_check( (B.is_square() == false), "inv(): given matrix must be square sized" );
const unwrap<T3> C_tmp(X.B);
const Mat<eT>& C = C_tmp.M;
arma_debug_assert_mul_size(B, C, "matrix multiplication");
Mat<eT> solve_result;
#if defined(ARMA_OPTIMISE_SYMPD)
const bool status = (strip_inv<T2>::do_inv_sympd) ? auxlib::solve_sympd_fast(solve_result, B, C) : auxlib::solve_square_fast(solve_result, B, C);
#else
const bool status = auxlib::solve_square_fast(solve_result, B, C);
#endif
if(status == false)
{
out.soft_reset();
arma_stop_runtime_error("matrix multiplication: problem with matrix inverse; suggest to use solve() instead");
return;
}
const partial_unwrap_check<T1> tmp1(X.A.A, out);
const typename partial_unwrap_check<T1>::stored_type& A = tmp1.M;
const bool use_alpha = partial_unwrap_check<T1>::do_times;
const eT alpha = use_alpha ? tmp1.get_val() : eT(0);
glue_times::apply
<
eT,
partial_unwrap_check<T1>::do_trans,
false,
partial_unwrap_check<T1>::do_times
>
(out, A, solve_result, alpha);
return;
}
glue_times_redirect3_helper<false>::apply(out, X);
}
template<uword N>
template<typename T1, typename T2>
arma_hot
inline
void
glue_times_redirect<N>::apply(Mat<typename T1::elem_type>& out, const Glue<T1,T2,glue_times>& X)
{
arma_extra_debug_sigprint();
typedef typename T1::elem_type eT;
const partial_unwrap<T1> tmp1(X.A);
const partial_unwrap<T2> tmp2(X.B);
const typename partial_unwrap<T1>::stored_type& A = tmp1.M;
const typename partial_unwrap<T2>::stored_type& B = tmp2.M;
const bool use_alpha = partial_unwrap<T1>::do_times || partial_unwrap<T2>::do_times;
const eT alpha = use_alpha ? (tmp1.get_val() * tmp2.get_val()) : eT(0);
const bool alias = tmp1.is_alias(out) || tmp2.is_alias(out);
if(alias == false)
{
glue_times::apply
<
eT,
partial_unwrap<T1>::do_trans,
partial_unwrap<T2>::do_trans,
(partial_unwrap<T1>::do_times || partial_unwrap<T2>::do_times)
>
(out, A, B, alpha);
}
else
{
Mat<eT> tmp;
glue_times::apply
<
eT,
partial_unwrap<T1>::do_trans,
partial_unwrap<T2>::do_trans,
(partial_unwrap<T1>::do_times || partial_unwrap<T2>::do_times)
>
(tmp, A, B, alpha);
out.steal_mem(tmp);
}
}
template<typename T1, typename T2>
arma_hot
inline
void
glue_times_redirect<2>::apply(Mat<typename T1::elem_type>& out, const Glue<T1,T2,glue_times>& X)
{
arma_extra_debug_sigprint();
typedef typename T1::elem_type eT;
glue_times_redirect2_helper< is_supported_blas_type<eT>::value >::apply(out, X);
}
template<typename T1, typename T2, typename T3>
arma_hot
inline
void
glue_times_redirect<3>::apply(Mat<typename T1::elem_type>& out, const Glue< Glue<T1,T2,glue_times>, T3, glue_times>& X)
{
arma_extra_debug_sigprint();
typedef typename T1::elem_type eT;
glue_times_redirect3_helper< is_supported_blas_type<eT>::value >::apply(out, X);
}
template<typename T1, typename T2, typename T3, typename T4>
arma_hot
inline
void
glue_times_redirect<4>::apply(Mat<typename T1::elem_type>& out, const Glue< Glue< Glue<T1,T2,glue_times>, T3, glue_times>, T4, glue_times>& X)
{
arma_extra_debug_sigprint();
typedef typename T1::elem_type eT;
// there is exactly 4 objects
// hence we can safely expand X as X.A.A.A, X.A.A.B, X.A.B and X.B
const partial_unwrap<T1> tmp1(X.A.A.A);
const partial_unwrap<T2> tmp2(X.A.A.B);
const partial_unwrap<T3> tmp3(X.A.B );
const partial_unwrap<T4> tmp4(X.B );
const typename partial_unwrap<T1>::stored_type& A = tmp1.M;
const typename partial_unwrap<T2>::stored_type& B = tmp2.M;
const typename partial_unwrap<T3>::stored_type& C = tmp3.M;
const typename partial_unwrap<T4>::stored_type& D = tmp4.M;
const bool use_alpha = partial_unwrap<T1>::do_times || partial_unwrap<T2>::do_times || partial_unwrap<T3>::do_times || partial_unwrap<T4>::do_times;
const eT alpha = use_alpha ? (tmp1.get_val() * tmp2.get_val() * tmp3.get_val() * tmp4.get_val()) : eT(0);
const bool alias = tmp1.is_alias(out) || tmp2.is_alias(out) || tmp3.is_alias(out) || tmp4.is_alias(out);
if(alias == false)
{
glue_times::apply
<
eT,
partial_unwrap<T1>::do_trans,
partial_unwrap<T2>::do_trans,
partial_unwrap<T3>::do_trans,
partial_unwrap<T4>::do_trans,
(partial_unwrap<T1>::do_times || partial_unwrap<T2>::do_times || partial_unwrap<T3>::do_times || partial_unwrap<T4>::do_times)
>
(out, A, B, C, D, alpha);
}
else
{
Mat<eT> tmp;
glue_times::apply
<
eT,
partial_unwrap<T1>::do_trans,
partial_unwrap<T2>::do_trans,
partial_unwrap<T3>::do_trans,
partial_unwrap<T4>::do_trans,
(partial_unwrap<T1>::do_times || partial_unwrap<T2>::do_times || partial_unwrap<T3>::do_times || partial_unwrap<T4>::do_times)
>
(tmp, A, B, C, D, alpha);
out.steal_mem(tmp);
}
}
template<typename T1, typename T2>
arma_hot
inline
void
glue_times::apply(Mat<typename T1::elem_type>& out, const Glue<T1,T2,glue_times>& X)
{
arma_extra_debug_sigprint();
const sword N_mat = 1 + depth_lhs< glue_times, Glue<T1,T2,glue_times> >::num;
arma_extra_debug_print(arma_str::format("N_mat = %d") % N_mat);
glue_times_redirect<N_mat>::apply(out, X);
}
template<typename T1>
arma_hot
inline
void
glue_times::apply_inplace(Mat<typename T1::elem_type>& out, const T1& X)
{
arma_extra_debug_sigprint();
out = out * X;
}
template<typename T1, typename T2>
arma_hot
inline
void
glue_times::apply_inplace_plus(Mat<typename T1::elem_type>& out, const Glue<T1, T2, glue_times>& X, const sword sign)
{
arma_extra_debug_sigprint();
typedef typename T1::elem_type eT;
typedef typename get_pod_type<eT>::result T;
if( (is_outer_product<T1>::value) || (has_op_inv<T1>::value) || (has_op_inv<T2>::value) || (has_op_inv_sympd<T1>::value) || (has_op_inv_sympd<T2>::value) )
{
// partial workaround for corner cases
const Mat<eT> tmp(X);
if(sign > sword(0)) { out += tmp; } else { out -= tmp; }
return;
}
const partial_unwrap_check<T1> tmp1(X.A, out);
const partial_unwrap_check<T2> tmp2(X.B, out);
typedef typename partial_unwrap_check<T1>::stored_type TA;
typedef typename partial_unwrap_check<T2>::stored_type TB;
const TA& A = tmp1.M;
const TB& B = tmp2.M;
const bool do_trans_A = partial_unwrap_check<T1>::do_trans;
const bool do_trans_B = partial_unwrap_check<T2>::do_trans;
const bool use_alpha = partial_unwrap_check<T1>::do_times || partial_unwrap_check<T2>::do_times || (sign < sword(0));
const eT alpha = use_alpha ? ( tmp1.get_val() * tmp2.get_val() * ( (sign > sword(0)) ? eT(1) : eT(-1) ) ) : eT(0);
arma_debug_assert_mul_size(A, B, do_trans_A, do_trans_B, "matrix multiplication");
const uword result_n_rows = (do_trans_A == false) ? (TA::is_row ? 1 : A.n_rows) : (TA::is_col ? 1 : A.n_cols);
const uword result_n_cols = (do_trans_B == false) ? (TB::is_col ? 1 : B.n_cols) : (TB::is_row ? 1 : B.n_rows);
arma_debug_assert_same_size(out.n_rows, out.n_cols, result_n_rows, result_n_cols, ( (sign > sword(0)) ? "addition" : "subtraction" ) );
if(out.n_elem == 0)
{
return;
}
if( (do_trans_A == false) && (do_trans_B == false) && (use_alpha == false) )
{
if( ((A.n_rows == 1) || (TA::is_row)) && (is_cx<eT>::no) ) { gemv<true, false, true>::apply(out.memptr(), B, A.memptr(), alpha, eT(1)); }
else if( (B.n_cols == 1) || (TB::is_col) ) { gemv<false, false, true>::apply(out.memptr(), A, B.memptr(), alpha, eT(1)); }
else { gemm<false, false, false, true>::apply(out, A, B, alpha, eT(1)); }
}
else
if( (do_trans_A == false) && (do_trans_B == false) && (use_alpha == true) )
{
if( ((A.n_rows == 1) || (TA::is_row)) && (is_cx<eT>::no) ) { gemv<true, true, true>::apply(out.memptr(), B, A.memptr(), alpha, eT(1)); }
else if( (B.n_cols == 1) || (TB::is_col) ) { gemv<false, true, true>::apply(out.memptr(), A, B.memptr(), alpha, eT(1)); }
else { gemm<false, false, true, true>::apply(out, A, B, alpha, eT(1)); }
}
else
if( (do_trans_A == true) && (do_trans_B == false) && (use_alpha == false) )
{
if( ((A.n_cols == 1) || (TA::is_col)) && (is_cx<eT>::no) ) { gemv<true, false, true>::apply(out.memptr(), B, A.memptr(), alpha, eT(1)); }
else if( (B.n_cols == 1) || (TB::is_col) ) { gemv<true, false, true>::apply(out.memptr(), A, B.memptr(), alpha, eT(1)); }
else if( (void_ptr(&A) == void_ptr(&B)) && (is_cx<eT>::no) ) { syrk<true, false, true>::apply(out, A, alpha, eT(1)); }
else if( (void_ptr(&A) == void_ptr(&B)) && (is_cx<eT>::yes) ) { herk<true, false, true>::apply(out, A, T(0), T(1)); }
else { gemm<true, false, false, true>::apply(out, A, B, alpha, eT(1)); }
}
else
if( (do_trans_A == true) && (do_trans_B == false) && (use_alpha == true) )
{
if( ((A.n_cols == 1) || (TA::is_col)) && (is_cx<eT>::no) ) { gemv<true, true, true>::apply(out.memptr(), B, A.memptr(), alpha, eT(1)); }
else if( (B.n_cols == 1) || (TB::is_col) ) { gemv<true, true, true>::apply(out.memptr(), A, B.memptr(), alpha, eT(1)); }
else if( (void_ptr(&A) == void_ptr(&B)) && (is_cx<eT>::no) ) { syrk<true, true, true>::apply(out, A, alpha, eT(1)); }
else { gemm<true, false, true, true>::apply(out, A, B, alpha, eT(1)); }
}
else
if( (do_trans_A == false) && (do_trans_B == true) && (use_alpha == false) )
{
if( ((A.n_rows == 1) || (TA::is_row)) && (is_cx<eT>::no) ) { gemv<false, false, true>::apply(out.memptr(), B, A.memptr(), alpha, eT(1)); }
else if( ((B.n_rows == 1) || (TB::is_row)) && (is_cx<eT>::no) ) { gemv<false, false, true>::apply(out.memptr(), A, B.memptr(), alpha, eT(1)); }
else if( (void_ptr(&A) == void_ptr(&B)) && (is_cx<eT>::no) ) { syrk<false, false, true>::apply(out, A, alpha, eT(1)); }
else if( (void_ptr(&A) == void_ptr(&B)) && (is_cx<eT>::yes) ) { herk<false, false, true>::apply(out, A, T(0), T(1)); }
else { gemm<false, true, false, true>::apply(out, A, B, alpha, eT(1)); }
}
else
if( (do_trans_A == false) && (do_trans_B == true) && (use_alpha == true) )
{
if( ((A.n_rows == 1) || (TA::is_row)) && (is_cx<eT>::no) ) { gemv<false, true, true>::apply(out.memptr(), B, A.memptr(), alpha, eT(1)); }
else if( ((B.n_rows == 1) || (TB::is_row)) && (is_cx<eT>::no) ) { gemv<false, true, true>::apply(out.memptr(), A, B.memptr(), alpha, eT(1)); }
else if( (void_ptr(&A) == void_ptr(&B)) && (is_cx<eT>::no) ) { syrk<false, true, true>::apply(out, A, alpha, eT(1)); }
else { gemm<false, true, true, true>::apply(out, A, B, alpha, eT(1)); }
}
else
if( (do_trans_A == true) && (do_trans_B == true) && (use_alpha == false) )
{
if( ((A.n_cols == 1) || (TA::is_col)) && (is_cx<eT>::no) ) { gemv<false, false, true>::apply(out.memptr(), B, A.memptr(), alpha, eT(1)); }
else if( ((B.n_rows == 1) || (TB::is_row)) && (is_cx<eT>::no) ) { gemv<true, false, true>::apply(out.memptr(), A, B.memptr(), alpha, eT(1)); }
else { gemm<true, true, false, true>::apply(out, A, B, alpha, eT(1)); }
}
else
if( (do_trans_A == true) && (do_trans_B == true) && (use_alpha == true) )
{
if( ((A.n_cols == 1) || (TA::is_col)) && (is_cx<eT>::no) ) { gemv<false, true, true>::apply(out.memptr(), B, A.memptr(), alpha, eT(1)); }
else if( ((B.n_rows == 1) || (TB::is_row)) && (is_cx<eT>::no) ) { gemv<true, true, true>::apply(out.memptr(), A, B.memptr(), alpha, eT(1)); }
else { gemm<true, true, true, true>::apply(out, A, B, alpha, eT(1)); }
}
}
template<typename eT, const bool do_trans_A, const bool do_trans_B, typename TA, typename TB>
arma_inline
uword
glue_times::mul_storage_cost(const TA& A, const TB& B)
{
const uword final_A_n_rows = (do_trans_A == false) ? ( TA::is_row ? 1 : A.n_rows ) : ( TA::is_col ? 1 : A.n_cols );
const uword final_B_n_cols = (do_trans_B == false) ? ( TB::is_col ? 1 : B.n_cols ) : ( TB::is_row ? 1 : B.n_rows );
return final_A_n_rows * final_B_n_cols;
}
template
<
typename eT,
const bool do_trans_A,
const bool do_trans_B,
const bool use_alpha,
typename TA,
typename TB
>
arma_hot
inline
void
glue_times::apply
(
Mat<eT>& out,
const TA& A,
const TB& B,
const eT alpha
)
{
arma_extra_debug_sigprint();
//arma_debug_assert_mul_size(A, B, do_trans_A, do_trans_B, "matrix multiplication");
arma_debug_assert_trans_mul_size<do_trans_A, do_trans_B>(A.n_rows, A.n_cols, B.n_rows, B.n_cols, "matrix multiplication");
const uword final_n_rows = (do_trans_A == false) ? (TA::is_row ? 1 : A.n_rows) : (TA::is_col ? 1 : A.n_cols);
const uword final_n_cols = (do_trans_B == false) ? (TB::is_col ? 1 : B.n_cols) : (TB::is_row ? 1 : B.n_rows);
out.set_size(final_n_rows, final_n_cols);
if( (A.n_elem == 0) || (B.n_elem == 0) )
{
out.zeros();
return;
}
if( (do_trans_A == false) && (do_trans_B == false) && (use_alpha == false) )
{
if( ((A.n_rows == 1) || (TA::is_row)) && (is_cx<eT>::no) ) { gemv<true, false, false>::apply(out.memptr(), B, A.memptr()); }
else if( (B.n_cols == 1) || (TB::is_col) ) { gemv<false, false, false>::apply(out.memptr(), A, B.memptr()); }
else { gemm<false, false, false, false>::apply(out, A, B ); }
}
else
if( (do_trans_A == false) && (do_trans_B == false) && (use_alpha == true) )
{
if( ((A.n_rows == 1) || (TA::is_row)) && (is_cx<eT>::no) ) { gemv<true, true, false>::apply(out.memptr(), B, A.memptr(), alpha); }
else if( (B.n_cols == 1) || (TB::is_col) ) { gemv<false, true, false>::apply(out.memptr(), A, B.memptr(), alpha); }
else { gemm<false, false, true, false>::apply(out, A, B, alpha); }
}
else
if( (do_trans_A == true) && (do_trans_B == false) && (use_alpha == false) )
{
if( ((A.n_cols == 1) || (TA::is_col)) && (is_cx<eT>::no) ) { gemv<true, false, false>::apply(out.memptr(), B, A.memptr()); }
else if( (B.n_cols == 1) || (TB::is_col) ) { gemv<true, false, false>::apply(out.memptr(), A, B.memptr()); }
else if( (void_ptr(&A) == void_ptr(&B)) && (is_cx<eT>::no) ) { syrk<true, false, false>::apply(out, A ); }
else if( (void_ptr(&A) == void_ptr(&B)) && (is_cx<eT>::yes) ) { herk<true, false, false>::apply(out, A ); }
else { gemm<true, false, false, false>::apply(out, A, B ); }
}
else
if( (do_trans_A == true) && (do_trans_B == false) && (use_alpha == true) )
{
if( ((A.n_cols == 1) || (TA::is_col)) && (is_cx<eT>::no) ) { gemv<true, true, false>::apply(out.memptr(), B, A.memptr(), alpha); }
else if( (B.n_cols == 1) || (TB::is_col) ) { gemv<true, true, false>::apply(out.memptr(), A, B.memptr(), alpha); }
else if( (void_ptr(&A) == void_ptr(&B)) && (is_cx<eT>::no) ) { syrk<true, true, false>::apply(out, A, alpha); }
else { gemm<true, false, true, false>::apply(out, A, B, alpha); }
}
else
if( (do_trans_A == false) && (do_trans_B == true) && (use_alpha == false) )
{
if( ((A.n_rows == 1) || (TA::is_row)) && (is_cx<eT>::no) ) { gemv<false, false, false>::apply(out.memptr(), B, A.memptr()); }
else if( ((B.n_rows == 1) || (TB::is_row)) && (is_cx<eT>::no) ) { gemv<false, false, false>::apply(out.memptr(), A, B.memptr()); }
else if( (void_ptr(&A) == void_ptr(&B)) && (is_cx<eT>::no) ) { syrk<false, false, false>::apply(out, A ); }
else if( (void_ptr(&A) == void_ptr(&B)) && (is_cx<eT>::yes) ) { herk<false, false, false>::apply(out, A ); }
else { gemm<false, true, false, false>::apply(out, A, B ); }
}
else
if( (do_trans_A == false) && (do_trans_B == true) && (use_alpha == true) )
{
if( ((A.n_rows == 1) || (TA::is_row)) && (is_cx<eT>::no) ) { gemv<false, true, false>::apply(out.memptr(), B, A.memptr(), alpha); }
else if( ((B.n_rows == 1) || (TB::is_row)) && (is_cx<eT>::no) ) { gemv<false, true, false>::apply(out.memptr(), A, B.memptr(), alpha); }
else if( (void_ptr(&A) == void_ptr(&B)) && (is_cx<eT>::no) ) { syrk<false, true, false>::apply(out, A, alpha); }
else { gemm<false, true, true, false>::apply(out, A, B, alpha); }
}
else
if( (do_trans_A == true) && (do_trans_B == true) && (use_alpha == false) )
{
if( ((A.n_cols == 1) || (TA::is_col)) && (is_cx<eT>::no) ) { gemv<false, false, false>::apply(out.memptr(), B, A.memptr()); }
else if( ((B.n_rows == 1) || (TB::is_row)) && (is_cx<eT>::no) ) { gemv<true, false, false>::apply(out.memptr(), A, B.memptr()); }
else { gemm<true, true, false, false>::apply(out, A, B ); }
}
else
if( (do_trans_A == true) && (do_trans_B == true) && (use_alpha == true) )
{
if( ((A.n_cols == 1) || (TA::is_col)) && (is_cx<eT>::no) ) { gemv<false, true, false>::apply(out.memptr(), B, A.memptr(), alpha); }
else if( ((B.n_rows == 1) || (TB::is_row)) && (is_cx<eT>::no) ) { gemv<true, true, false>::apply(out.memptr(), A, B.memptr(), alpha); }
else { gemm<true, true, true, false>::apply(out, A, B, alpha); }
}
}
template
<
typename eT,
const bool do_trans_A,
const bool do_trans_B,
const bool do_trans_C,
const bool use_alpha,
typename TA,
typename TB,
typename TC
>
arma_hot
inline
void
glue_times::apply
(
Mat<eT>& out,
const TA& A,
const TB& B,
const TC& C,
const eT alpha
)
{
arma_extra_debug_sigprint();
Mat<eT> tmp;
const uword storage_cost_AB = glue_times::mul_storage_cost<eT, do_trans_A, do_trans_B>(A, B);
const uword storage_cost_BC = glue_times::mul_storage_cost<eT, do_trans_B, do_trans_C>(B, C);
if(storage_cost_AB <= storage_cost_BC)
{
// out = (A*B)*C
glue_times::apply<eT, do_trans_A, do_trans_B, use_alpha>(tmp, A, B, alpha);
glue_times::apply<eT, false, do_trans_C, false >(out, tmp, C, eT(0));
}
else
{
// out = A*(B*C)
glue_times::apply<eT, do_trans_B, do_trans_C, use_alpha>(tmp, B, C, alpha);
glue_times::apply<eT, do_trans_A, false, false >(out, A, tmp, eT(0));
}
}
template
<
typename eT,
const bool do_trans_A,
const bool do_trans_B,
const bool do_trans_C,
const bool do_trans_D,
const bool use_alpha,
typename TA,
typename TB,
typename TC,
typename TD
>
arma_hot
inline
void
glue_times::apply
(
Mat<eT>& out,
const TA& A,
const TB& B,
const TC& C,
const TD& D,
const eT alpha
)
{
arma_extra_debug_sigprint();
Mat<eT> tmp;
const uword storage_cost_AC = glue_times::mul_storage_cost<eT, do_trans_A, do_trans_C>(A, C);
const uword storage_cost_BD = glue_times::mul_storage_cost<eT, do_trans_B, do_trans_D>(B, D);
if(storage_cost_AC <= storage_cost_BD)
{
// out = (A*B*C)*D
glue_times::apply<eT, do_trans_A, do_trans_B, do_trans_C, use_alpha>(tmp, A, B, C, alpha);
glue_times::apply<eT, false, do_trans_D, false>(out, tmp, D, eT(0));
}
else
{
// out = A*(B*C*D)
glue_times::apply<eT, do_trans_B, do_trans_C, do_trans_D, use_alpha>(tmp, B, C, D, alpha);
glue_times::apply<eT, do_trans_A, false, false>(out, A, tmp, eT(0));
}
}
//
// glue_times_diag
template<typename T1, typename T2>
arma_hot
inline
void
glue_times_diag::apply(Mat<typename T1::elem_type>& out, const Glue<T1, T2, glue_times_diag>& X)
{
arma_extra_debug_sigprint();
typedef typename T1::elem_type eT;
const strip_diagmat<T1> S1(X.A);
const strip_diagmat<T2> S2(X.B);
typedef typename strip_diagmat<T1>::stored_type T1_stripped;
typedef typename strip_diagmat<T2>::stored_type T2_stripped;
if( (strip_diagmat<T1>::do_diagmat == true) && (strip_diagmat<T2>::do_diagmat == false) )
{
arma_extra_debug_print("glue_times_diag::apply(): diagmat(A) * B");
const diagmat_proxy_check<T1_stripped> A(S1.M, out);
const unwrap_check<T2> tmp(X.B, out);
const Mat<eT>& B = tmp.M;
const uword A_n_rows = A.n_rows;
const uword A_n_cols = A.n_cols;
const uword A_length = (std::min)(A_n_rows, A_n_cols);
const uword B_n_rows = B.n_rows;
const uword B_n_cols = B.n_cols;
arma_debug_assert_mul_size(A_n_rows, A_n_cols, B_n_rows, B_n_cols, "matrix multiplication");
out.zeros(A_n_rows, B_n_cols);
for(uword col=0; col < B_n_cols; ++col)
{
eT* out_coldata = out.colptr(col);
const eT* B_coldata = B.colptr(col);
for(uword i=0; i < A_length; ++i)
{
out_coldata[i] = A[i] * B_coldata[i];
}
}
}
else
if( (strip_diagmat<T1>::do_diagmat == false) && (strip_diagmat<T2>::do_diagmat == true) )
{
arma_extra_debug_print("glue_times_diag::apply(): A * diagmat(B)");
const unwrap_check<T1> tmp(X.A, out);
const Mat<eT>& A = tmp.M;
const diagmat_proxy_check<T2_stripped> B(S2.M, out);
const uword A_n_rows = A.n_rows;
const uword A_n_cols = A.n_cols;
const uword B_n_rows = B.n_rows;
const uword B_n_cols = B.n_cols;
const uword B_length = (std::min)(B_n_rows, B_n_cols);
arma_debug_assert_mul_size(A_n_rows, A_n_cols, B_n_rows, B_n_cols, "matrix multiplication");
out.zeros(A_n_rows, B_n_cols);
for(uword col=0; col < B_length; ++col)
{
const eT val = B[col];
eT* out_coldata = out.colptr(col);
const eT* A_coldata = A.colptr(col);
for(uword i=0; i < A_n_rows; ++i)
{
out_coldata[i] = A_coldata[i] * val;
}
}
}
else
if( (strip_diagmat<T1>::do_diagmat == true) && (strip_diagmat<T2>::do_diagmat == true) )
{
arma_extra_debug_print("glue_times_diag::apply(): diagmat(A) * diagmat(B)");
const diagmat_proxy_check<T1_stripped> A(S1.M, out);
const diagmat_proxy_check<T2_stripped> B(S2.M, out);
arma_debug_assert_mul_size(A.n_rows, A.n_cols, B.n_rows, B.n_cols, "matrix multiplication");
out.zeros(A.n_rows, B.n_cols);
const uword A_length = (std::min)(A.n_rows, A.n_cols);
const uword B_length = (std::min)(B.n_rows, B.n_cols);
const uword N = (std::min)(A_length, B_length);
for(uword i=0; i < N; ++i)
{
out.at(i,i) = A[i] * B[i];
}
}
}
//! @}
|
