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254 lines
9.1 KiB
C++
254 lines
9.1 KiB
C++
/*************************************************************************************
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Grid physics library, www.github.com/paboyle/Grid
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Source file: ./lib/tensors/Tensor_arith_mul.h
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Copyright (C) 2015
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Author: Peter Boyle <paboyle@ph.ed.ac.uk>
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This program is free software; you can redistribute it and/or modify
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it under the terms of the GNU General Public License as published by
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the Free Software Foundation; either version 2 of the License, or
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(at your option) any later version.
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This program is distributed in the hope that it will be useful,
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but WITHOUT ANY WARRANTY; without even the implied warranty of
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MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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GNU General Public License for more details.
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You should have received a copy of the GNU General Public License along
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with this program; if not, write to the Free Software Foundation, Inc.,
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51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
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See the full license in the file "LICENSE" in the top level distribution directory
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*************************************************************************************/
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/* END LEGAL */
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#ifndef GRID_MATH_ARITH_MUL_H
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#define GRID_MATH_ARITH_MUL_H
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namespace Grid {
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///////////////////////////////////////////////////////////////////////////////////////////////////
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/////////////////////////////////////////// MUL ///////////////////////////////////////////
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///////////////////////////////////////////////////////////////////////////////////////////////////
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template<class rtype,class vtype,class mtype>
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strong_inline void mult(iScalar<rtype> * __restrict__ ret,const iScalar<mtype> * __restrict__ lhs,const iScalar<vtype> * __restrict__ rhs){
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mult(&ret->_internal,&lhs->_internal,&rhs->_internal);
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}
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template<class rrtype,class ltype,class rtype,int N>
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strong_inline void mult(iMatrix<rrtype,N> * __restrict__ ret,const iMatrix<ltype,N> * __restrict__ lhs,const iMatrix<rtype,N> * __restrict__ rhs){
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for(int c1=0;c1<N;c1++){
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for(int c2=0;c2<N;c2++){
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mult(&ret->_internal[c1][c2],&lhs->_internal[c1][0],&rhs->_internal[0][c2]);
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}
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}
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for(int c1=0;c1<N;c1++){
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for(int c3=1;c3<N;c3++){
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for(int c2=0;c2<N;c2++){
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mac(&ret->_internal[c1][c2],&lhs->_internal[c1][c3],&rhs->_internal[c3][c2]);
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}
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}
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}
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return;
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}
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template<class rrtype,class ltype,class rtype,int N>
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strong_inline void mult(iMatrix<rrtype,N> * __restrict__ ret,const iMatrix<ltype,N> * __restrict__ lhs,const iScalar<rtype> * __restrict__ rhs){
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for(int c2=0;c2<N;c2++){
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for(int c1=0;c1<N;c1++){
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mult(&ret->_internal[c1][c2],&lhs->_internal[c1][c2],&rhs->_internal);
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}}
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return;
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}
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template<class rrtype,class ltype,class rtype, int N>
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strong_inline void mult(iMatrix<rrtype,N> * __restrict__ ret,const iScalar<ltype> * __restrict__ lhs,const iMatrix<rtype,N> * __restrict__ rhs){
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for(int c2=0;c2<N;c2++){
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for(int c1=0;c1<N;c1++){
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mult(&ret->_internal[c1][c2],&lhs->_internal,&rhs->_internal[c1][c2]);
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}}
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return;
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}
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// Matrix left multiplies vector
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template<class rtype,class vtype,class mtype,int N>
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strong_inline void mult(iVector<rtype,N> * __restrict__ ret,const iMatrix<mtype,N> * __restrict__ lhs,const iVector<vtype,N> * __restrict__ rhs)
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{
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for(int c1=0;c1<N;c1++){
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mult(&ret->_internal[c1],&lhs->_internal[c1][0],&rhs->_internal[0]);
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for(int c2=1;c2<N;c2++){
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mac(&ret->_internal[c1],&lhs->_internal[c1][c2],&rhs->_internal[c2]);
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}
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}
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return;
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}
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template<class rtype,class vtype,class mtype,int N>
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strong_inline void mult(iVector<rtype,N> * __restrict__ ret,
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const iScalar<mtype> * __restrict__ lhs,
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const iVector<vtype,N> * __restrict__ rhs){
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for(int c1=0;c1<N;c1++){
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mult(&ret->_internal[c1],&lhs->_internal,&rhs->_internal[c1]);
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}
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}
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template<class rtype,class vtype,class mtype,int N>
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strong_inline void mult(iVector<rtype,N> * __restrict__ ret,
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const iVector<vtype,N> * __restrict__ rhs,
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const iScalar<mtype> * __restrict__ lhs){
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for(int c1=0;c1<N;c1++){
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mult(&ret->_internal[c1],&rhs->_internal[c1],&lhs->_internal);
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}
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}
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template<class rtype,class vtype,class mtype,int N> strong_inline
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iVector<rtype,N> operator * (const iMatrix<mtype,N>& lhs,const iVector<vtype,N>& rhs)
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{
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iVector<rtype,N> ret;
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mult(&ret,&lhs,&rhs);
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return ret;
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}
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template<class rtype,class vtype,class mtype,int N> strong_inline
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iVector<rtype,N> operator * (const iScalar<mtype>& lhs,const iVector<vtype,N>& rhs)
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{
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iVector<rtype,N> ret;
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mult(&ret,&lhs,&rhs);
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return ret;
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}
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template<class rtype,class vtype,class mtype,int N> strong_inline
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iVector<rtype,N> operator * (const iVector<mtype,N>& lhs,const iScalar<vtype>& rhs)
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{
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iVector<rtype,N> ret;
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mult(&ret,&lhs,&rhs);
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return ret;
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}
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//////////////////////////////////////////////////////////////////
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// Divide by scalar
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//////////////////////////////////////////////////////////////////
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template<class rtype,class vtype> strong_inline
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iScalar<rtype> operator / (const iScalar<rtype>& lhs,const iScalar<vtype>& rhs)
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{
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iScalar<rtype> ret;
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ret._internal = lhs._internal/rhs._internal;
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return ret;
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}
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template<class rtype,class vtype,int N> strong_inline
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iVector<rtype,N> operator / (const iVector<rtype,N>& lhs,const iScalar<vtype>& rhs)
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{
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iVector<rtype,N> ret;
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for(int i=0;i<N;i++){
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ret._internal[i] = lhs._internal[i]/rhs._internal;
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}
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return ret;
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}
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template<class rtype,class vtype,int N> strong_inline
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iMatrix<rtype,N> operator / (const iMatrix<rtype,N>& lhs,const iScalar<vtype>& rhs)
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{
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iMatrix<rtype,N> ret;
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for(int i=0;i<N;i++){
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for(int j=0;j<N;j++){
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ret._internal[i][j] = lhs._internal[i][j]/rhs._internal;
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}}
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return ret;
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}
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//////////////////////////////////////////////////////////////////
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// Glue operators to mult routines. Must resolve return type cleverly from typeof(internal)
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// since nesting matrix<scalar> x matrix<matrix>-> matrix<matrix>
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// while matrix<scalar> x matrix<scalar>-> matrix<scalar>
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// so return type depends on argument types in nasty way.
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//////////////////////////////////////////////////////////////////
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// scal x scal = scal
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// mat x mat = mat
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// mat x scal = mat
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// scal x mat = mat
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// mat x vec = vec
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// vec x scal = vec
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// scal x vec = vec
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//
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// We can special case scalar_type ??
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template<class l,class r>
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strong_inline auto operator * (const iScalar<l>& lhs,const iScalar<r>& rhs) -> iScalar<decltype(lhs._internal * rhs._internal)>
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{
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typedef iScalar<decltype(lhs._internal*rhs._internal)> ret_t;
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ret_t ret;
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mult(&ret,&lhs,&rhs);
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return ret;
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}
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template<class l,class r,int N> strong_inline
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auto operator * (const iMatrix<l,N>& lhs,const iMatrix<r,N>& rhs) -> iMatrix<decltype(lhs._internal[0][0]*rhs._internal[0][0]),N>
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{
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typedef decltype(lhs._internal[0][0]*rhs._internal[0][0]) ret_t;
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iMatrix<ret_t,N> ret;
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mult(&ret,&lhs,&rhs);
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return ret;
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}
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template<class l,class r, int N> strong_inline
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auto operator * (const iMatrix<r,N>& lhs,const iScalar<l>& rhs) -> iMatrix<decltype(lhs._internal[0][0]*rhs._internal),N>
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{
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typedef decltype(lhs._internal[0][0]*rhs._internal) ret_t;
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iMatrix<ret_t,N> ret;
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for(int c1=0;c1<N;c1++){
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for(int c2=0;c2<N;c2++){
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mult(&ret._internal[c1][c2],&lhs._internal[c1][c2],&rhs._internal);
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}}
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return ret;
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}
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template<class l,class r,int N> strong_inline
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auto operator * (const iScalar<l>& lhs,const iMatrix<r,N>& rhs) -> iMatrix<decltype(lhs._internal*rhs._internal[0][0]),N>
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{
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typedef decltype(lhs._internal*rhs._internal[0][0]) ret_t;
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iMatrix<ret_t,N> ret;
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for(int c1=0;c1<N;c1++){
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for(int c2=0;c2<N;c2++){
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mult(&ret._internal[c1][c2],&lhs._internal,&rhs._internal[c1][c2]);
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}}
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return ret;
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}
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template<class l,class r,int N> strong_inline
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auto operator * (const iMatrix<l,N>& lhs,const iVector<r,N>& rhs) -> iVector<decltype(lhs._internal[0][0]*rhs._internal[0]),N>
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{
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typedef decltype(lhs._internal[0][0]*rhs._internal[0]) ret_t;
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iVector<ret_t,N> ret;
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for(int c1=0;c1<N;c1++){
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mult(&ret._internal[c1],&lhs._internal[c1][0],&rhs._internal[0]);
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for(int c2=1;c2<N;c2++){
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mac(&ret._internal[c1],&lhs._internal[c1][c2],&rhs._internal[c2]);
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}
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}
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return ret;
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}
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template<class l,class r,int N> strong_inline
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auto operator * (const iScalar<l>& lhs,const iVector<r,N>& rhs) -> iVector<decltype(lhs._internal*rhs._internal[0]),N>
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{
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typedef decltype(lhs._internal*rhs._internal[0]) ret_t;
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iVector<ret_t,N> ret;
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for(int c1=0;c1<N;c1++){
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mult(&ret._internal[c1],&lhs._internal,&rhs._internal[c1]);
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}
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return ret;
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}
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template<class l,class r,int N> strong_inline
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auto operator * (const iVector<l,N>& lhs,const iScalar<r>& rhs) -> iVector<decltype(lhs._internal[0]*rhs._internal),N>
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{
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typedef decltype(lhs._internal[0]*rhs._internal) ret_t;
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iVector<ret_t,N> ret;
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for(int c1=0;c1<N;c1++){
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mult(&ret._internal[c1],&lhs._internal[c1],&rhs._internal);
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}
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return ret;
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}
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}
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#endif
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