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diff --git a/src/armadillo/include/armadillo_bits/glue_times_meat.hpp b/src/armadillo/include/armadillo_bits/glue_times_meat.hpp
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+++ b/src/armadillo/include/armadillo_bits/glue_times_meat.hpp
@@ -0,0 +1,952 @@
+// SPDX-License-Identifier: Apache-2.0
+//
+// 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>
+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>
+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(arma_config::optimise_invexpr && (strip_inv<T1>::do_inv_gen || strip_inv<T1>::do_inv_spd))
+ {
+ // 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_spd) && (arma_config::debug) && (auxlib::rudimentary_sym_check(A) == false) )
+ {
+ if(is_cx<eT>::no ) { arma_debug_warn_level(1, "inv_sympd(): given matrix is not symmetric"); }
+ if(is_cx<eT>::yes) { arma_debug_warn_level(1, "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");
+
+ const bool status = (strip_inv<T1>::do_inv_spd) ? auxlib::solve_sympd_fast(out, A, B) : auxlib::solve_square_fast(out, A, B);
+
+ if(status == false)
+ {
+ out.soft_reset();
+ arma_stop_runtime_error("matrix multiplication: problem with matrix inverse; suggest to use solve() instead");
+ }
+
+ return;
+ }
+
+ if(arma_config::optimise_invexpr && strip_inv<T2>::do_inv_spd)
+ {
+ // 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( (arma_config::debug) && (auxlib::rudimentary_sym_check(B) == false) )
+ {
+ if(is_cx<eT>::no ) { arma_debug_warn_level(1, "inv_sympd(): given matrix is not symmetric"); }
+ if(is_cx<eT>::yes) { arma_debug_warn_level(1, "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;
+ }
+
+ glue_times_redirect2_helper<false>::apply(out, X);
+ }
+
+
+
+template<bool do_inv_detect>
+template<typename T1, typename T2, typename T3>
+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>
+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(arma_config::optimise_invexpr && (strip_inv<T1>::do_inv_gen || strip_inv<T1>::do_inv_spd))
+ {
+ // 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");
+
+ if( (strip_inv<T1>::do_inv_spd) && (arma_config::debug) && (auxlib::rudimentary_sym_check(A) == false) )
+ {
+ if(is_cx<eT>::no ) { arma_debug_warn_level(1, "inv_sympd(): given matrix is not symmetric"); }
+ if(is_cx<eT>::yes) { arma_debug_warn_level(1, "inv_sympd(): given matrix is not hermitian"); }
+ }
+
+ const bool status = (strip_inv<T1>::do_inv_spd) ? auxlib::solve_sympd_fast(out, A, BC) : auxlib::solve_square_fast(out, A, BC);
+
+ if(status == false)
+ {
+ out.soft_reset();
+ arma_stop_runtime_error("matrix multiplication: problem with matrix inverse; suggest to use solve() instead");
+ }
+
+ return;
+ }
+
+
+ if(arma_config::optimise_invexpr && (strip_inv<T2>::do_inv_gen || strip_inv<T2>::do_inv_spd))
+ {
+ // 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");
+
+ if( (strip_inv<T2>::do_inv_spd) && (arma_config::debug) && (auxlib::rudimentary_sym_check(B) == false) )
+ {
+ if(is_cx<eT>::no ) { arma_debug_warn_level(1, "inv_sympd(): given matrix is not symmetric"); }
+ if(is_cx<eT>::yes) { arma_debug_warn_level(1, "inv_sympd(): given matrix is not hermitian"); }
+ }
+
+ Mat<eT> solve_result;
+
+ const bool status = (strip_inv<T2>::do_inv_spd) ? auxlib::solve_sympd_fast(solve_result, B, C) : auxlib::solve_square_fast(solve_result, B, C);
+
+ 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>
+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>
+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>
+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>
+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>
+inline
+void
+glue_times::apply(Mat<typename T1::elem_type>& out, const Glue<T1,T2,glue_times>& X)
+ {
+ arma_extra_debug_sigprint();
+
+ constexpr uword N_mat = 1 + depth_lhs< glue_times, Glue<T1,T2,glue_times> >::num;
+
+ arma_extra_debug_print(arma_str::format("N_mat = %u") % N_mat);
+
+ glue_times_redirect<N_mat>::apply(out, X);
+ }
+
+
+
+template<typename T1>
+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>
+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_any<T1>::value) || (has_op_inv_any<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
+ >
+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
+ >
+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
+ >
+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>
+inline
+void
+glue_times_diag::apply(Mat<typename T1::elem_type>& actual_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<T1_stripped> A(S1.M);
+
+ const quasi_unwrap<T2> UB(X.B);
+ const Mat<eT>& B = UB.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");
+
+ const bool is_alias = (A.is_alias(actual_out) || UB.is_alias(actual_out));
+
+ if(is_alias) { arma_extra_debug_print("glue_times_diag::apply(): aliasing detected"); }
+
+ Mat<eT> tmp;
+ Mat<eT>& out = (is_alias) ? tmp : actual_out;
+
+ 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]; }
+ }
+
+ if(is_alias) { actual_out.steal_mem(tmp); }
+ }
+ 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 quasi_unwrap<T1> UA(X.A);
+ const Mat<eT>& A = UA.M;
+
+ const diagmat_proxy<T2_stripped> B(S2.M);
+
+ 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");
+
+ const bool is_alias = (UA.is_alias(actual_out) || B.is_alias(actual_out));
+
+ if(is_alias) { arma_extra_debug_print("glue_times_diag::apply(): aliasing detected"); }
+
+ Mat<eT> tmp;
+ Mat<eT>& out = (is_alias) ? tmp : actual_out;
+
+ 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; }
+ }
+
+ if(is_alias) { actual_out.steal_mem(tmp); }
+ }
+ 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<T1_stripped> A(S1.M);
+ const diagmat_proxy<T2_stripped> B(S2.M);
+
+ arma_debug_assert_mul_size(A.n_rows, A.n_cols, B.n_rows, B.n_cols, "matrix multiplication");
+
+ const bool is_alias = (A.is_alias(actual_out) || B.is_alias(actual_out));
+
+ if(is_alias) { arma_extra_debug_print("glue_times_diag::apply(): aliasing detected"); }
+
+ Mat<eT> tmp;
+ Mat<eT>& out = (is_alias) ? tmp : actual_out;
+
+ 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]; }
+
+ if(is_alias) { actual_out.steal_mem(tmp); }
+ }
+ }
+
+
+
+//! @}
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