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author | Nao Pross <np@0hm.ch> | 2024-02-12 14:52:43 +0100 |
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committer | Nao Pross <np@0hm.ch> | 2024-02-12 14:52:43 +0100 |
commit | eda5bc26f44ee9a6f83dcf8c91f17296d7fc509d (patch) | |
tree | bc2efa38ff4e350f9a111ac87065cd7ae9a911c7 /src/armadillo/include/armadillo_bits/op_dot_meat.hpp | |
download | fsisotool-eda5bc26f44ee9a6f83dcf8c91f17296d7fc509d.tar.gz fsisotool-eda5bc26f44ee9a6f83dcf8c91f17296d7fc509d.zip |
Move into version control
Diffstat (limited to 'src/armadillo/include/armadillo_bits/op_dot_meat.hpp')
-rw-r--r-- | src/armadillo/include/armadillo_bits/op_dot_meat.hpp | 580 |
1 files changed, 580 insertions, 0 deletions
diff --git a/src/armadillo/include/armadillo_bits/op_dot_meat.hpp b/src/armadillo/include/armadillo_bits/op_dot_meat.hpp new file mode 100644 index 0000000..e94c76d --- /dev/null +++ b/src/armadillo/include/armadillo_bits/op_dot_meat.hpp @@ -0,0 +1,580 @@ +// 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 op_dot +//! @{ + + + +//! for two arrays, generic version for non-complex values +template<typename eT> +arma_inline +typename arma_not_cx<eT>::result +op_dot::direct_dot_arma(const uword n_elem, const eT* const A, const eT* const B) + { + arma_extra_debug_sigprint(); + + #if defined(__FAST_MATH__) + { + eT val = eT(0); + + for(uword i=0; i<n_elem; ++i) + { + val += A[i] * B[i]; + } + + return val; + } + #else + { + eT val1 = eT(0); + eT val2 = eT(0); + + uword i, j; + + for(i=0, j=1; j<n_elem; i+=2, j+=2) + { + val1 += A[i] * B[i]; + val2 += A[j] * B[j]; + } + + if(i < n_elem) + { + val1 += A[i] * B[i]; + } + + return val1 + val2; + } + #endif + } + + + +//! for two arrays, generic version for complex values +template<typename eT> +inline +typename arma_cx_only<eT>::result +op_dot::direct_dot_arma(const uword n_elem, const eT* const A, const eT* const B) + { + arma_extra_debug_sigprint(); + + typedef typename get_pod_type<eT>::result T; + + T val_real = T(0); + T val_imag = T(0); + + for(uword i=0; i<n_elem; ++i) + { + const std::complex<T>& X = A[i]; + const std::complex<T>& Y = B[i]; + + const T a = X.real(); + const T b = X.imag(); + + const T c = Y.real(); + const T d = Y.imag(); + + val_real += (a*c) - (b*d); + val_imag += (a*d) + (b*c); + } + + return std::complex<T>(val_real, val_imag); + } + + + +//! for two arrays, float and double version +template<typename eT> +inline +typename arma_real_only<eT>::result +op_dot::direct_dot(const uword n_elem, const eT* const A, const eT* const B) + { + arma_extra_debug_sigprint(); + + if( n_elem <= 32u ) + { + return op_dot::direct_dot_arma(n_elem, A, B); + } + else + { + #if defined(ARMA_USE_ATLAS) + { + arma_extra_debug_print("atlas::cblas_dot()"); + + return atlas::cblas_dot(n_elem, A, B); + } + #elif defined(ARMA_USE_BLAS) + { + arma_extra_debug_print("blas::dot()"); + + return blas::dot(n_elem, A, B); + } + #else + { + return op_dot::direct_dot_arma(n_elem, A, B); + } + #endif + } + } + + + +//! for two arrays, complex version +template<typename eT> +inline +typename arma_cx_only<eT>::result +op_dot::direct_dot(const uword n_elem, const eT* const A, const eT* const B) + { + if( n_elem <= 16u ) + { + return op_dot::direct_dot_arma(n_elem, A, B); + } + else + { + #if defined(ARMA_USE_ATLAS) + { + arma_extra_debug_print("atlas::cblas_cx_dot()"); + + return atlas::cblas_cx_dot(n_elem, A, B); + } + #elif defined(ARMA_USE_BLAS) + { + arma_extra_debug_print("blas::dot()"); + + return blas::dot(n_elem, A, B); + } + #else + { + return op_dot::direct_dot_arma(n_elem, A, B); + } + #endif + } + } + + + +//! for two arrays, integral version +template<typename eT> +inline +typename arma_integral_only<eT>::result +op_dot::direct_dot(const uword n_elem, const eT* const A, const eT* const B) + { + return op_dot::direct_dot_arma(n_elem, A, B); + } + + + + +//! for three arrays +template<typename eT> +inline +eT +op_dot::direct_dot(const uword n_elem, const eT* const A, const eT* const B, const eT* C) + { + arma_extra_debug_sigprint(); + + eT val = eT(0); + + for(uword i=0; i<n_elem; ++i) + { + val += A[i] * B[i] * C[i]; + } + + return val; + } + + + +template<typename T1, typename T2> +inline +typename T1::elem_type +op_dot::apply(const T1& X, const T2& Y) + { + arma_extra_debug_sigprint(); + + const bool use_at = (Proxy<T1>::use_at) || (Proxy<T2>::use_at); + + const bool have_direct_mem = (quasi_unwrap<T1>::has_orig_mem) && (quasi_unwrap<T2>::has_orig_mem); + + if(use_at || have_direct_mem) + { + const quasi_unwrap<T1> A(X); + const quasi_unwrap<T2> B(Y); + + arma_debug_check( (A.M.n_elem != B.M.n_elem), "dot(): objects must have the same number of elements" ); + + return op_dot::direct_dot(A.M.n_elem, A.M.memptr(), B.M.memptr()); + } + else + { + if(is_subview_row<T1>::value && is_subview_row<T2>::value) + { + typedef typename T1::elem_type eT; + + const subview_row<eT>& A = reinterpret_cast< const subview_row<eT>& >(X); + const subview_row<eT>& B = reinterpret_cast< const subview_row<eT>& >(Y); + + if( (A.m.n_rows == 1) && (B.m.n_rows == 1) ) + { + arma_debug_check( (A.n_elem != B.n_elem), "dot(): objects must have the same number of elements" ); + + const eT* A_mem = A.m.memptr(); + const eT* B_mem = B.m.memptr(); + + return op_dot::direct_dot(A.n_elem, &A_mem[A.aux_col1], &B_mem[B.aux_col1]); + } + } + + const Proxy<T1> PA(X); + const Proxy<T2> PB(Y); + + arma_debug_check( (PA.get_n_elem() != PB.get_n_elem()), "dot(): objects must have the same number of elements" ); + + if(is_Mat<typename Proxy<T1>::stored_type>::value && is_Mat<typename Proxy<T2>::stored_type>::value) + { + const quasi_unwrap<typename Proxy<T1>::stored_type> A(PA.Q); + const quasi_unwrap<typename Proxy<T2>::stored_type> B(PB.Q); + + return op_dot::direct_dot(A.M.n_elem, A.M.memptr(), B.M.memptr()); + } + + return op_dot::apply_proxy(PA,PB); + } + } + + + +template<typename T1, typename T2> +inline +typename arma_not_cx<typename T1::elem_type>::result +op_dot::apply_proxy(const Proxy<T1>& PA, const Proxy<T2>& PB) + { + arma_extra_debug_sigprint(); + + typedef typename T1::elem_type eT; + typedef typename Proxy<T1>::ea_type ea_type1; + typedef typename Proxy<T2>::ea_type ea_type2; + + const uword N = PA.get_n_elem(); + + ea_type1 A = PA.get_ea(); + ea_type2 B = PB.get_ea(); + + eT val1 = eT(0); + eT val2 = eT(0); + + uword i,j; + + for(i=0, j=1; j<N; i+=2, j+=2) + { + val1 += A[i] * B[i]; + val2 += A[j] * B[j]; + } + + if(i < N) + { + val1 += A[i] * B[i]; + } + + return val1 + val2; + } + + + +template<typename T1, typename T2> +inline +typename arma_cx_only<typename T1::elem_type>::result +op_dot::apply_proxy(const Proxy<T1>& PA, const Proxy<T2>& PB) + { + arma_extra_debug_sigprint(); + + typedef typename T1::elem_type eT; + typedef typename get_pod_type<eT>::result T; + + typedef typename Proxy<T1>::ea_type ea_type1; + typedef typename Proxy<T2>::ea_type ea_type2; + + const uword N = PA.get_n_elem(); + + ea_type1 A = PA.get_ea(); + ea_type2 B = PB.get_ea(); + + T val_real = T(0); + T val_imag = T(0); + + for(uword i=0; i<N; ++i) + { + const std::complex<T> xx = A[i]; + const std::complex<T> yy = B[i]; + + const T a = xx.real(); + const T b = xx.imag(); + + const T c = yy.real(); + const T d = yy.imag(); + + val_real += (a*c) - (b*d); + val_imag += (a*d) + (b*c); + } + + return std::complex<T>(val_real, val_imag); + } + + + +// +// op_norm_dot + + + +template<typename T1, typename T2> +inline +typename T1::elem_type +op_norm_dot::apply(const T1& X, const T2& Y) + { + arma_extra_debug_sigprint(); + + typedef typename T1::elem_type eT; + typedef typename T1::pod_type T; + + const quasi_unwrap<T1> tmp1(X); + const quasi_unwrap<T2> tmp2(Y); + + const Col<eT> A( const_cast<eT*>(tmp1.M.memptr()), tmp1.M.n_elem, false ); + const Col<eT> B( const_cast<eT*>(tmp2.M.memptr()), tmp2.M.n_elem, false ); + + arma_debug_check( (A.n_elem != B.n_elem), "norm_dot(): objects must have the same number of elements" ); + + const T denom = norm(A,2) * norm(B,2); + + return (denom != T(0)) ? ( op_dot::apply(A,B) / denom ) : eT(0); + } + + + +// +// op_cdot + + + +template<typename eT> +inline +eT +op_cdot::direct_cdot_arma(const uword n_elem, const eT* const A, const eT* const B) + { + arma_extra_debug_sigprint(); + + typedef typename get_pod_type<eT>::result T; + + T val_real = T(0); + T val_imag = T(0); + + for(uword i=0; i<n_elem; ++i) + { + const std::complex<T>& X = A[i]; + const std::complex<T>& Y = B[i]; + + const T a = X.real(); + const T b = X.imag(); + + const T c = Y.real(); + const T d = Y.imag(); + + val_real += (a*c) + (b*d); + val_imag += (a*d) - (b*c); + } + + return std::complex<T>(val_real, val_imag); + } + + + +template<typename eT> +inline +eT +op_cdot::direct_cdot(const uword n_elem, const eT* const A, const eT* const B) + { + arma_extra_debug_sigprint(); + + if( n_elem <= 32u ) + { + return op_cdot::direct_cdot_arma(n_elem, A, B); + } + else + { + #if defined(ARMA_USE_BLAS) + { + arma_extra_debug_print("blas::gemv()"); + + // using gemv() workaround due to compatibility issues with cdotc() and zdotc() + + const char trans = 'C'; + + const blas_int m = blas_int(n_elem); + const blas_int n = 1; + //const blas_int lda = (n_elem > 0) ? blas_int(n_elem) : blas_int(1); + const blas_int inc = 1; + + const eT alpha = eT(1); + const eT beta = eT(0); + + eT result[2]; // paranoia: using two elements instead of one + + //blas::gemv(&trans, &m, &n, &alpha, A, &lda, B, &inc, &beta, &result[0], &inc); + blas::gemv(&trans, &m, &n, &alpha, A, &m, B, &inc, &beta, &result[0], &inc); + + return result[0]; + } + #else + { + return op_cdot::direct_cdot_arma(n_elem, A, B); + } + #endif + } + } + + + +template<typename T1, typename T2> +inline +typename T1::elem_type +op_cdot::apply(const T1& X, const T2& Y) + { + arma_extra_debug_sigprint(); + + if(is_Mat<T1>::value && is_Mat<T2>::value) + { + return op_cdot::apply_unwrap(X,Y); + } + else + { + return op_cdot::apply_proxy(X,Y); + } + } + + + +template<typename T1, typename T2> +inline +typename T1::elem_type +op_cdot::apply_unwrap(const T1& X, const T2& Y) + { + arma_extra_debug_sigprint(); + + typedef typename T1::elem_type eT; + + const unwrap<T1> tmp1(X); + const unwrap<T2> tmp2(Y); + + const Mat<eT>& A = tmp1.M; + const Mat<eT>& B = tmp2.M; + + arma_debug_check( (A.n_elem != B.n_elem), "cdot(): objects must have the same number of elements" ); + + return op_cdot::direct_cdot( A.n_elem, A.mem, B.mem ); + } + + + +template<typename T1, typename T2> +inline +typename T1::elem_type +op_cdot::apply_proxy(const T1& X, const T2& Y) + { + arma_extra_debug_sigprint(); + + typedef typename T1::elem_type eT; + typedef typename get_pod_type<eT>::result T; + + typedef typename Proxy<T1>::ea_type ea_type1; + typedef typename Proxy<T2>::ea_type ea_type2; + + const bool use_at = (Proxy<T1>::use_at) || (Proxy<T2>::use_at); + + if(use_at == false) + { + const Proxy<T1> PA(X); + const Proxy<T2> PB(Y); + + const uword N = PA.get_n_elem(); + + arma_debug_check( (N != PB.get_n_elem()), "cdot(): objects must have the same number of elements" ); + + ea_type1 A = PA.get_ea(); + ea_type2 B = PB.get_ea(); + + T val_real = T(0); + T val_imag = T(0); + + for(uword i=0; i<N; ++i) + { + const std::complex<T> AA = A[i]; + const std::complex<T> BB = B[i]; + + const T a = AA.real(); + const T b = AA.imag(); + + const T c = BB.real(); + const T d = BB.imag(); + + val_real += (a*c) + (b*d); + val_imag += (a*d) - (b*c); + } + + return std::complex<T>(val_real, val_imag); + } + else + { + return op_cdot::apply_unwrap( X, Y ); + } + } + + + +template<typename T1, typename T2> +inline +typename promote_type<typename T1::elem_type, typename T2::elem_type>::result +op_dot_mixed::apply(const T1& A, const T2& B) + { + arma_extra_debug_sigprint(); + + typedef typename T1::elem_type in_eT1; + typedef typename T2::elem_type in_eT2; + + typedef typename promote_type<in_eT1, in_eT2>::result out_eT; + + const Proxy<T1> PA(A); + const Proxy<T2> PB(B); + + const uword N = PA.get_n_elem(); + + arma_debug_check( (N != PB.get_n_elem()), "dot(): objects must have the same number of elements" ); + + out_eT acc = out_eT(0); + + for(uword i=0; i < N; ++i) + { + acc += upgrade_val<in_eT1,in_eT2>::apply(PA[i]) * upgrade_val<in_eT1,in_eT2>::apply(PB[i]); + } + + return acc; + } + + + +//! @} |