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+// 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 gemm
+//! @{
+
+
+
+//! for tiny square matrices, size <= 4x4
+template<const bool do_trans_A=false, const bool use_alpha=false, const bool use_beta=false>
+class gemm_emul_tinysq
+ {
+ public:
+
+
+ template<typename eT, typename TA, typename TB>
+ arma_cold
+ inline
+ static
+ void
+ apply
+ (
+ Mat<eT>& C,
+ const TA& A,
+ const TB& B,
+ const eT alpha = eT(1),
+ const eT beta = eT(0)
+ )
+ {
+ arma_extra_debug_sigprint();
+
+ switch(A.n_rows)
+ {
+ case 4: gemv_emul_tinysq<do_trans_A, use_alpha, use_beta>::apply( C.colptr(3), A, B.colptr(3), alpha, beta );
+ // fallthrough
+ case 3: gemv_emul_tinysq<do_trans_A, use_alpha, use_beta>::apply( C.colptr(2), A, B.colptr(2), alpha, beta );
+ // fallthrough
+ case 2: gemv_emul_tinysq<do_trans_A, use_alpha, use_beta>::apply( C.colptr(1), A, B.colptr(1), alpha, beta );
+ // fallthrough
+ case 1: gemv_emul_tinysq<do_trans_A, use_alpha, use_beta>::apply( C.colptr(0), A, B.colptr(0), alpha, beta );
+ // fallthrough
+ default: ;
+ }
+ }
+
+ };
+
+
+
+//! emulation of gemm(), for non-complex matrices only, as it assumes only simple transposes (ie. doesn't do hermitian transposes)
+template<const bool do_trans_A=false, const bool do_trans_B=false, const bool use_alpha=false, const bool use_beta=false>
+class gemm_emul_large
+ {
+ public:
+
+ template<typename eT, typename TA, typename TB>
+ arma_hot
+ inline
+ static
+ void
+ apply
+ (
+ Mat<eT>& C,
+ const TA& A,
+ const TB& B,
+ const eT alpha = eT(1),
+ const eT beta = eT(0)
+ )
+ {
+ arma_extra_debug_sigprint();
+
+ 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;
+
+ if( (do_trans_A == false) && (do_trans_B == false) )
+ {
+ arma_aligned podarray<eT> tmp(A_n_cols);
+
+ eT* A_rowdata = tmp.memptr();
+
+ for(uword row_A=0; row_A < A_n_rows; ++row_A)
+ {
+ tmp.copy_row(A, row_A);
+
+ for(uword col_B=0; col_B < B_n_cols; ++col_B)
+ {
+ const eT acc = op_dot::direct_dot_arma(B_n_rows, A_rowdata, B.colptr(col_B));
+
+ if( (use_alpha == false) && (use_beta == false) ) { C.at(row_A,col_B) = acc; }
+ else if( (use_alpha == true ) && (use_beta == false) ) { C.at(row_A,col_B) = alpha*acc; }
+ else if( (use_alpha == false) && (use_beta == true ) ) { C.at(row_A,col_B) = acc + beta*C.at(row_A,col_B); }
+ else if( (use_alpha == true ) && (use_beta == true ) ) { C.at(row_A,col_B) = alpha*acc + beta*C.at(row_A,col_B); }
+ }
+ }
+ }
+ else
+ if( (do_trans_A == true) && (do_trans_B == false) )
+ {
+ for(uword col_A=0; col_A < A_n_cols; ++col_A)
+ {
+ // col_A is interpreted as row_A when storing the results in matrix C
+
+ const eT* A_coldata = A.colptr(col_A);
+
+ for(uword col_B=0; col_B < B_n_cols; ++col_B)
+ {
+ const eT acc = op_dot::direct_dot_arma(B_n_rows, A_coldata, B.colptr(col_B));
+
+ if( (use_alpha == false) && (use_beta == false) ) { C.at(col_A,col_B) = acc; }
+ else if( (use_alpha == true ) && (use_beta == false) ) { C.at(col_A,col_B) = alpha*acc; }
+ else if( (use_alpha == false) && (use_beta == true ) ) { C.at(col_A,col_B) = acc + beta*C.at(col_A,col_B); }
+ else if( (use_alpha == true ) && (use_beta == true ) ) { C.at(col_A,col_B) = alpha*acc + beta*C.at(col_A,col_B); }
+ }
+ }
+ }
+ else
+ if( (do_trans_A == false) && (do_trans_B == true) )
+ {
+ Mat<eT> BB;
+ op_strans::apply_mat_noalias(BB, B);
+
+ gemm_emul_large<false, false, use_alpha, use_beta>::apply(C, A, BB, alpha, beta);
+ }
+ else
+ if( (do_trans_A == true) && (do_trans_B == true) )
+ {
+ // mat B_tmp = trans(B);
+ // dgemm_arma<true, false, use_alpha, use_beta>::apply(C, A, B_tmp, alpha, beta);
+
+
+ // By using the trans(A)*trans(B) = trans(B*A) equivalency,
+ // transpose operations are not needed
+
+ arma_aligned podarray<eT> tmp(B.n_cols);
+ eT* B_rowdata = tmp.memptr();
+
+ for(uword row_B=0; row_B < B_n_rows; ++row_B)
+ {
+ tmp.copy_row(B, row_B);
+
+ for(uword col_A=0; col_A < A_n_cols; ++col_A)
+ {
+ const eT acc = op_dot::direct_dot_arma(A_n_rows, B_rowdata, A.colptr(col_A));
+
+ if( (use_alpha == false) && (use_beta == false) ) { C.at(col_A,row_B) = acc; }
+ else if( (use_alpha == true ) && (use_beta == false) ) { C.at(col_A,row_B) = alpha*acc; }
+ else if( (use_alpha == false) && (use_beta == true ) ) { C.at(col_A,row_B) = acc + beta*C.at(col_A,row_B); }
+ else if( (use_alpha == true ) && (use_beta == true ) ) { C.at(col_A,row_B) = alpha*acc + beta*C.at(col_A,row_B); }
+ }
+ }
+ }
+ }
+
+ };
+
+
+
+template<const bool do_trans_A=false, const bool do_trans_B=false, const bool use_alpha=false, const bool use_beta=false>
+class gemm_emul
+ {
+ public:
+
+
+ template<typename eT, typename TA, typename TB>
+ arma_hot
+ inline
+ static
+ void
+ apply
+ (
+ Mat<eT>& C,
+ const TA& A,
+ const TB& B,
+ const eT alpha = eT(1),
+ const eT beta = eT(0),
+ const typename arma_not_cx<eT>::result* junk = nullptr
+ )
+ {
+ arma_extra_debug_sigprint();
+ arma_ignore(junk);
+
+ gemm_emul_large<do_trans_A, do_trans_B, use_alpha, use_beta>::apply(C, A, B, alpha, beta);
+ }
+
+
+
+ template<typename eT>
+ arma_hot
+ inline
+ static
+ void
+ apply
+ (
+ Mat<eT>& C,
+ const Mat<eT>& A,
+ const Mat<eT>& B,
+ const eT alpha = eT(1),
+ const eT beta = eT(0),
+ const typename arma_cx_only<eT>::result* junk = nullptr
+ )
+ {
+ arma_extra_debug_sigprint();
+ arma_ignore(junk);
+
+ // "better than nothing" handling of hermitian transposes for complex number matrices
+
+ Mat<eT> tmp_A;
+ Mat<eT> tmp_B;
+
+ if(do_trans_A) { op_htrans::apply_mat_noalias(tmp_A, A); }
+ if(do_trans_B) { op_htrans::apply_mat_noalias(tmp_B, B); }
+
+ const Mat<eT>& AA = (do_trans_A == false) ? A : tmp_A;
+ const Mat<eT>& BB = (do_trans_B == false) ? B : tmp_B;
+
+ gemm_emul_large<false, false, use_alpha, use_beta>::apply(C, AA, BB, alpha, beta);
+ }
+
+ };
+
+
+
+//! \brief
+//! Wrapper for BLAS dgemm function, using template arguments to control the arguments passed to dgemm.
+//! Matrix 'C' is assumed to have been set to the correct size (ie. taking into account transposes)
+
+template<const bool do_trans_A=false, const bool do_trans_B=false, const bool use_alpha=false, const bool use_beta=false>
+class gemm
+ {
+ public:
+
+ template<typename eT, typename TA, typename TB>
+ inline
+ static
+ void
+ apply_blas_type( Mat<eT>& C, const TA& A, const TB& B, const eT alpha = eT(1), const eT beta = eT(0) )
+ {
+ arma_extra_debug_sigprint();
+
+ if( (A.n_rows <= 4) && (A.n_rows == A.n_cols) && (A.n_rows == B.n_rows) && (B.n_rows == B.n_cols) && (is_cx<eT>::no) )
+ {
+ if(do_trans_B == false)
+ {
+ gemm_emul_tinysq<do_trans_A, use_alpha, use_beta>::apply(C, A, B, alpha, beta);
+ }
+ else
+ {
+ Mat<eT> BB(B.n_rows, B.n_rows, arma_nozeros_indicator());
+
+ op_strans::apply_mat_noalias_tinysq(BB, B);
+
+ gemm_emul_tinysq<do_trans_A, use_alpha, use_beta>::apply(C, A, BB, alpha, beta);
+ }
+ }
+ else
+ {
+ #if defined(ARMA_USE_ATLAS)
+ {
+ arma_extra_debug_print("atlas::cblas_gemm()");
+
+ arma_debug_assert_atlas_size(A,B);
+
+ atlas::cblas_gemm<eT>
+ (
+ atlas_CblasColMajor,
+ (do_trans_A) ? ( is_cx<eT>::yes ? atlas_CblasConjTrans : atlas_CblasTrans ) : atlas_CblasNoTrans,
+ (do_trans_B) ? ( is_cx<eT>::yes ? atlas_CblasConjTrans : atlas_CblasTrans ) : atlas_CblasNoTrans,
+ C.n_rows,
+ C.n_cols,
+ (do_trans_A) ? A.n_rows : A.n_cols,
+ (use_alpha) ? alpha : eT(1),
+ A.mem,
+ (do_trans_A) ? A.n_rows : C.n_rows,
+ B.mem,
+ (do_trans_B) ? C.n_cols : ( (do_trans_A) ? A.n_rows : A.n_cols ),
+ (use_beta) ? beta : eT(0),
+ C.memptr(),
+ C.n_rows
+ );
+ }
+ #elif defined(ARMA_USE_BLAS)
+ {
+ arma_extra_debug_print("blas::gemm()");
+
+ arma_debug_assert_blas_size(A,B);
+
+ const char trans_A = (do_trans_A) ? ( is_cx<eT>::yes ? 'C' : 'T' ) : 'N';
+ const char trans_B = (do_trans_B) ? ( is_cx<eT>::yes ? 'C' : 'T' ) : 'N';
+
+ const blas_int m = blas_int(C.n_rows);
+ const blas_int n = blas_int(C.n_cols);
+ const blas_int k = (do_trans_A) ? blas_int(A.n_rows) : blas_int(A.n_cols);
+
+ const eT local_alpha = (use_alpha) ? alpha : eT(1);
+
+ const blas_int lda = (do_trans_A) ? k : m;
+ const blas_int ldb = (do_trans_B) ? n : k;
+
+ const eT local_beta = (use_beta) ? beta : eT(0);
+
+ arma_extra_debug_print( arma_str::format("blas::gemm(): trans_A = %c") % trans_A );
+ arma_extra_debug_print( arma_str::format("blas::gemm(): trans_B = %c") % trans_B );
+
+ blas::gemm<eT>
+ (
+ &trans_A,
+ &trans_B,
+ &m,
+ &n,
+ &k,
+ &local_alpha,
+ A.mem,
+ &lda,
+ B.mem,
+ &ldb,
+ &local_beta,
+ C.memptr(),
+ &m
+ );
+ }
+ #else
+ {
+ gemm_emul<do_trans_A, do_trans_B, use_alpha, use_beta>::apply(C,A,B,alpha,beta);
+ }
+ #endif
+ }
+ }
+
+
+
+ //! immediate multiplication of matrices A and B, storing the result in C
+ template<typename eT, typename TA, typename TB>
+ inline
+ static
+ void
+ apply( Mat<eT>& C, const TA& A, const TB& B, const eT alpha = eT(1), const eT beta = eT(0) )
+ {
+ gemm_emul<do_trans_A, do_trans_B, use_alpha, use_beta>::apply(C,A,B,alpha,beta);
+ }
+
+
+
+ template<typename TA, typename TB>
+ arma_inline
+ static
+ void
+ apply
+ (
+ Mat<float>& C,
+ const TA& A,
+ const TB& B,
+ const float alpha = float(1),
+ const float beta = float(0)
+ )
+ {
+ gemm<do_trans_A, do_trans_B, use_alpha, use_beta>::apply_blas_type(C,A,B,alpha,beta);
+ }
+
+
+
+ template<typename TA, typename TB>
+ arma_inline
+ static
+ void
+ apply
+ (
+ Mat<double>& C,
+ const TA& A,
+ const TB& B,
+ const double alpha = double(1),
+ const double beta = double(0)
+ )
+ {
+ gemm<do_trans_A, do_trans_B, use_alpha, use_beta>::apply_blas_type(C,A,B,alpha,beta);
+ }
+
+
+
+ template<typename TA, typename TB>
+ arma_inline
+ static
+ void
+ apply
+ (
+ Mat< std::complex<float> >& C,
+ const TA& A,
+ const TB& B,
+ const std::complex<float> alpha = std::complex<float>(1),
+ const std::complex<float> beta = std::complex<float>(0)
+ )
+ {
+ gemm<do_trans_A, do_trans_B, use_alpha, use_beta>::apply_blas_type(C,A,B,alpha,beta);
+ }
+
+
+
+ template<typename TA, typename TB>
+ arma_inline
+ static
+ void
+ apply
+ (
+ Mat< std::complex<double> >& C,
+ const TA& A,
+ const TB& B,
+ const std::complex<double> alpha = std::complex<double>(1),
+ const std::complex<double> beta = std::complex<double>(0)
+ )
+ {
+ gemm<do_trans_A, do_trans_B, use_alpha, use_beta>::apply_blas_type(C,A,B,alpha,beta);
+ }
+
+ };
+
+
+
+//! @}
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