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449 lines
16 KiB
C++
449 lines
16 KiB
C++
/*************************************************************************************
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Grid physics library, www.github.com/paboyle/Grid
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Source file: ./lib/tensors/Tensor_class.h
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Copyright (C) 2015
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Author: Azusa Yamaguchi <ayamaguc@staffmail.ed.ac.uk>
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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
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directory
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*************************************************************************************/
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/* END LEGAL */
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#ifndef GRID_MATH_TENSORS_H
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#define GRID_MATH_TENSORS_H
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NAMESPACE_BEGIN(Grid);
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///////////////////////////////////////////////////
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// Scalar, Vector, Matrix objects.
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// These can be composed to form tensor products of internal indices.
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///////////////////////////////////////////////////
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// It is useful to NOT have any constructors
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// so that these classes assert "is_pod<class> == true"
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// because then the standard C++ valarray container eliminates fill overhead on
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// new allocation and
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// non-move copying.
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//
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// However note that doing this eliminates some syntactical sugar such as
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// calling the constructor explicitly or implicitly
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//
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class GridTensorBase {};
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template <class vtype>
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class iScalar {
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public:
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vtype _internal;
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typedef vtype element;
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typedef typename GridTypeMapper<vtype>::scalar_type scalar_type;
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typedef typename GridTypeMapper<vtype>::vector_type vector_type;
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typedef typename GridTypeMapper<vtype>::vector_typeD vector_typeD;
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typedef typename GridTypeMapper<vtype>::tensor_reduced tensor_reduced_v;
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typedef typename GridTypeMapper<vtype>::scalar_object recurse_scalar_object;
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typedef iScalar<tensor_reduced_v> tensor_reduced;
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typedef iScalar<recurse_scalar_object> scalar_object;
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// substitutes a real or complex version with same tensor structure
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typedef iScalar<typename GridTypeMapper<vtype>::Complexified> Complexified;
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typedef iScalar<typename GridTypeMapper<vtype>::Realified> Realified;
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// get double precision version
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typedef iScalar<typename GridTypeMapper<vtype>::DoublePrecision> DoublePrecision;
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enum { TensorLevel = GridTypeMapper<vtype>::TensorLevel + 1 };
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// Scalar no action
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accelerator iScalar() = default;
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friend accelerator_inline void zeroit(iScalar<vtype> &that){
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zeroit(that._internal);
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}
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accelerator_inline iScalar(scalar_type s) : _internal(s){}; // recurse down and hit the constructor for vector_type
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accelerator_inline iScalar(const Zero &z) { zeroit(*this); };
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accelerator_inline iScalar<vtype> &operator=(const Zero &hero) {
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zeroit(*this); return *this;
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}
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friend accelerator_inline void vstream(iScalar<vtype> &out, const iScalar<vtype> &in) {
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vstream(out._internal, in._internal);
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}
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friend accelerator_inline void vbroadcast(iScalar<vtype> &out,const iScalar<vtype> &in,int lane){
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vbroadcast(out._internal,in._internal,lane);
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}
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friend accelerator_inline void prefetch(iScalar<vtype> &that) {
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prefetch(that._internal);
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}
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friend accelerator_inline void permute(iScalar<vtype> &out, const iScalar<vtype> &in, int permutetype) {
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permute(out._internal, in._internal, permutetype);
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}
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friend accelerator_inline void rotate(iScalar<vtype> &out,const iScalar<vtype> &in,int rot){
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rotate(out._internal,in._internal,rot);
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}
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friend accelerator_inline void exchange(iScalar<vtype> &out1,iScalar<vtype> &out2,
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const iScalar<vtype> &in1,const iScalar<vtype> &in2,int type)
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{
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exchange(out1._internal,out2._internal,in1._internal, in2._internal,type);
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}
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// Unary negation
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friend accelerator_inline iScalar<vtype> operator-(const iScalar<vtype> &r) {
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iScalar<vtype> ret;
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ret._internal = -r._internal;
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return ret;
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}
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// *=,+=,-= operators inherit from corresponding "*,-,+" behaviour
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accelerator_inline iScalar<vtype> &operator*=(const iScalar<vtype> &r) {
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*this = (*this) * r;
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return *this;
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}
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accelerator_inline iScalar<vtype> &operator-=(const iScalar<vtype> &r) {
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*this = (*this) - r;
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return *this;
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}
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accelerator_inline iScalar<vtype> &operator+=(const iScalar<vtype> &r) {
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*this = (*this) + r;
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return *this;
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}
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accelerator_inline vtype &operator()(void) { return _internal; }
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accelerator_inline const vtype &operator()(void) const { return _internal; }
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// Type casts meta programmed, must be pure scalar to match TensorRemove
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template <class U = vtype, class V = scalar_type, IfComplex<V> = 0, IfNotSimd<U> = 0> accelerator_inline
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operator ComplexF() const {
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return (TensorRemove(_internal));
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}
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template <class U = vtype, class V = scalar_type, IfComplex<V> = 0, IfNotSimd<U> = 0> accelerator_inline
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operator ComplexD() const {
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return (TensorRemove(_internal));
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}
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template <class U = vtype, class V = scalar_type, IfReal<V> = 0,IfNotSimd<U> = 0> accelerator_inline
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operator RealD() const {
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return TensorRemove(_internal);
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}
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template <class U = vtype, class V = scalar_type, IfInteger<V> = 0, IfNotSimd<U> = 0> accelerator_inline
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operator Integer() const {
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return Integer(TensorRemove(_internal));
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}
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// convert from a something to a scalar via constructor of something arg
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template <class T, typename std::enable_if<!isGridTensor<T>::value, T>::type * = nullptr>
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accelerator_inline iScalar<vtype> operator=(T arg) {
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_internal = arg;
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return *this;
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}
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// Convert elements
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template <class ttype>
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accelerator_inline iScalar<vtype> operator=(iScalar<ttype> &&arg) {
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_internal = arg._internal;
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return *this;
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}
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// Host only
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friend std::ostream &operator<<(std::ostream &stream,const iScalar<vtype> &o) {
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stream << "S {" << o._internal << "}";
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return stream;
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};
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};
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///////////////////////////////////////////////////////////
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// Allows to turn scalar<scalar<scalar<double>>>> back to double.
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///////////////////////////////////////////////////////////
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template <class T>
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accelerator_inline typename std::enable_if<!isGridTensor<T>::value, T>::type
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TensorRemove(T arg) {
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return arg;
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}
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template <class vtype>
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accelerator_inline auto TensorRemove(iScalar<vtype> arg)
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-> decltype(TensorRemove(arg._internal)) {
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return TensorRemove(arg._internal);
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}
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template <class vtype, int N>
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class iVector {
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public:
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vtype _internal[N];
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typedef vtype element;
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typedef typename GridTypeMapper<vtype>::scalar_type scalar_type;
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typedef typename GridTypeMapper<vtype>::vector_type vector_type;
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typedef typename GridTypeMapper<vtype>::vector_typeD vector_typeD;
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typedef typename GridTypeMapper<vtype>::tensor_reduced tensor_reduced_v;
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typedef typename GridTypeMapper<vtype>::scalar_object recurse_scalar_object;
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typedef iScalar<tensor_reduced_v> tensor_reduced;
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typedef iVector<recurse_scalar_object, N> scalar_object;
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// substitutes a real or complex version with same tensor structure
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typedef iVector<typename GridTypeMapper<vtype>::Complexified, N> Complexified;
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typedef iVector<typename GridTypeMapper<vtype>::Realified, N> Realified;
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// get double precision version
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typedef iVector<typename GridTypeMapper<vtype>::DoublePrecision, N> DoublePrecision;
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template <class T, typename std::enable_if<!isGridTensor<T>::value, T>::type * = nullptr>
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accelerator_inline auto operator=(T arg) -> iVector<vtype, N> {
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zeroit(*this);
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for (int i = 0; i < N; i++) _internal[i] = arg;
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return *this;
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}
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enum { TensorLevel = GridTypeMapper<vtype>::TensorLevel + 1 };
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accelerator_inline iVector(const Zero &z) { zeroit(*this); };
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accelerator iVector() = default;
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accelerator_inline iVector<vtype, N> &operator=(const Zero &hero) {
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zeroit(*this);
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return *this;
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}
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friend accelerator_inline void zeroit(iVector<vtype, N> &that) {
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for (int i = 0; i < N; i++) {
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zeroit(that._internal[i]);
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}
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}
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friend accelerator_inline void prefetch(iVector<vtype, N> &that) {
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for (int i = 0; i < N; i++) prefetch(that._internal[i]);
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}
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friend accelerator_inline void vstream(iVector<vtype, N> &out, const iVector<vtype, N> &in) {
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for (int i = 0; i < N; i++) {
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vstream(out._internal[i], in._internal[i]);
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}
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}
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friend accelerator_inline void vbroadcast(iVector<vtype,N> &out,const iVector<vtype,N> &in,int lane){
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for(int i=0;i<N;i++){
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vbroadcast(out._internal[i],in._internal[i],lane);
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}
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}
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friend accelerator_inline void permute(iVector<vtype,N> &out,const iVector<vtype,N> &in,int permutetype){
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for(int i=0;i<N;i++){
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permute(out._internal[i],in._internal[i],permutetype);
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}
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}
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friend accelerator_inline void rotate(iVector<vtype,N> &out,const iVector<vtype,N> &in,int rot){
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for(int i=0;i<N;i++){
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rotate(out._internal[i],in._internal[i],rot);
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}
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}
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friend accelerator_inline void exchange(iVector<vtype,N> &out1,iVector<vtype,N> &out2,
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const iVector<vtype,N> &in1,const iVector<vtype,N> &in2,int type){
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for(int i=0;i<N;i++){
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exchange(out1._internal[i],out2._internal[i],in1._internal[i], in2._internal[i],type);
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}
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}
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// Unary negation
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friend accelerator_inline iVector<vtype, N> operator-(const iVector<vtype, N> &r) {
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iVector<vtype, N> ret;
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for (int i = 0; i < N; i++) ret._internal[i] = -r._internal[i];
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return ret;
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}
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// *=,+=,-= operators inherit from corresponding "*,-,+" behaviour
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accelerator_inline iVector<vtype, N> &operator*=(const iScalar<vtype> &r) {
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*this = (*this) * r;
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return *this;
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}
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accelerator_inline iVector<vtype, N> &operator-=(const iVector<vtype, N> &r) {
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*this = (*this) - r;
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return *this;
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}
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accelerator_inline iVector<vtype, N> &operator+=(const iVector<vtype, N> &r) {
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*this = (*this) + r;
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return *this;
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}
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accelerator_inline vtype &operator()(int i) { return _internal[i]; }
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accelerator_inline const vtype &operator()(int i) const { return _internal[i]; }
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// Host
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friend std::ostream &operator<<(std::ostream &stream, const iVector<vtype, N> &o) {
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stream << "V<" << N << ">{";
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for (int i = 0; i < N; i++) {
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stream << o._internal[i];
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if (i < N - 1) stream << ",";
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}
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stream << "}";
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return stream;
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};
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};
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template <class vtype, int N>
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class iMatrix {
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public:
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vtype _internal[N][N];
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typedef vtype element;
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typedef typename GridTypeMapper<vtype>::scalar_type scalar_type;
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typedef typename GridTypeMapper<vtype>::vector_type vector_type;
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typedef typename GridTypeMapper<vtype>::vector_typeD vector_typeD;
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typedef typename GridTypeMapper<vtype>::tensor_reduced tensor_reduced_v;
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typedef typename GridTypeMapper<vtype>::scalar_object recurse_scalar_object;
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// substitutes a real or complex version with same tensor structure
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typedef iMatrix<typename GridTypeMapper<vtype>::Complexified, N> Complexified;
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typedef iMatrix<typename GridTypeMapper<vtype>::Realified, N> Realified;
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// get double precision version
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typedef iMatrix<typename GridTypeMapper<vtype>::DoublePrecision, N> DoublePrecision;
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// Tensor removal
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typedef iScalar<tensor_reduced_v> tensor_reduced;
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typedef iMatrix<recurse_scalar_object, N> scalar_object;
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enum { TensorLevel = GridTypeMapper<vtype>::TensorLevel + 1 };
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accelerator_inline iMatrix(const Zero &z) { zeroit(*this); };
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accelerator iMatrix() = default;
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accelerator_inline iMatrix &operator=(const iMatrix &rhs) {
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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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vstream(_internal[i][j], rhs._internal[i][j]);
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return *this;
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};
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accelerator_inline iMatrix(scalar_type s) {
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(*this) = s;
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}; // recurse down and hit the constructor for vector_type
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accelerator_inline iMatrix<vtype, N> &operator=(const Zero &hero) {
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zeroit(*this);
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return *this;
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}
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template <class T, typename std::enable_if<!isGridTensor<T>::value, T>::type * = nullptr>
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accelerator_inline auto operator=(T arg) -> iMatrix<vtype, N> {
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zeroit(*this);
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for (int i = 0; i < N; i++) _internal[i][i] = arg;
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return *this;
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}
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friend accelerator_inline void zeroit(iMatrix<vtype,N> &that){
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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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zeroit(that._internal[i][j]);
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}}
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}
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friend accelerator_inline void prefetch(iMatrix<vtype,N> &that){
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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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prefetch(that._internal[i][j]);
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}}
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}
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friend accelerator_inline void vstream(iMatrix<vtype,N> &out,const iMatrix<vtype,N> &in){
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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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vstream(out._internal[i][j],in._internal[i][j]);
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}}
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}
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friend accelerator_inline void vbroadcast(iMatrix<vtype,N> &out,const iMatrix<vtype,N> &in,int lane){
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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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vbroadcast(out._internal[i][j],in._internal[i][j],lane);
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}}
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}
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friend accelerator_inline void permute(iMatrix<vtype,N> &out,const iMatrix<vtype,N> &in,int permutetype){
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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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permute(out._internal[i][j],in._internal[i][j],permutetype);
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}}
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}
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friend accelerator_inline void rotate(iMatrix<vtype,N> &out,const iMatrix<vtype,N> &in,int rot){
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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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rotate(out._internal[i][j],in._internal[i][j],rot);
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}}
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}
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friend accelerator_inline void exchange(iMatrix<vtype,N> &out1,iMatrix<vtype,N> &out2,
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const iMatrix<vtype,N> &in1,const iMatrix<vtype,N> &in2,int type){
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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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exchange(out1._internal[i][j],out2._internal[i][j],in1._internal[i][j], in2._internal[i][j],type);
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}}
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}
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// Unary negation
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friend accelerator_inline iMatrix<vtype, N> operator-(const iMatrix<vtype, N> &r) {
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iMatrix<vtype, 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] = -r._internal[i][j];
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}}
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return ret;
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}
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// *=,+=,-= operators inherit from corresponding "*,-,+" behaviour
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template <class T>
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accelerator_inline iMatrix<vtype, N> &operator*=(const T &r) {
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*this = (*this) * r;
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return *this;
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}
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template <class T>
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accelerator_inline iMatrix<vtype, N> &operator-=(const T &r) {
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*this = (*this) - r;
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return *this;
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}
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template <class T>
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accelerator_inline iMatrix<vtype, N> &operator+=(const T &r) {
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*this = (*this) + r;
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return *this;
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}
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// returns an lvalue reference
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accelerator_inline vtype &operator()(int i, int j) { return _internal[i][j]; }
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accelerator_inline const vtype &operator()(int i, int j) const {
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return _internal[i][j];
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}
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// Host function only
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friend std::ostream &operator<<(std::ostream &stream, const iMatrix<vtype, N> &o) {
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stream << "M<" << N << ">{";
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for (int i = 0; i < N; i++) {
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stream << "{";
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for (int j = 0; j < N; j++) {
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stream << o._internal[i][j];
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if (i < N - 1) stream << ",";
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}
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stream << "}";
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if (i != N - 1) stream << "\n\t\t";
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}
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stream << "}";
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return stream;
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};
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};
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template <class v> accelerator_inline
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void vprefetch(const iScalar<v> &vv) {
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vprefetch(vv._internal);
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}
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template <class v, int N> accelerator_inline
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void vprefetch(const iVector<v, N> &vv) {
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for (int i = 0; i < N; i++) {
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vprefetch(vv._internal[i]);
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}
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}
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template <class v, int N> accelerator_inline
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void vprefetch(const iMatrix<v, N> &vv) {
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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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vprefetch(vv._internal[i][j]);
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}
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}
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}
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NAMESPACE_END(Grid);
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#endif
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