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259 lines
10 KiB
C++
259 lines
10 KiB
C++
#ifndef GRID_MATH_ARITH_SCALAR_H
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#define GRID_MATH_ARITH_SCALAR_H
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namespace Grid {
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//////////////////////////////////////////////////////////////////////////////////////////
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// Must support native C++ types Integer, Complex, Real
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//////////////////////////////////////////////////////////////////////////////////////////
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// multiplication by fundamental scalar type
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template<class l,int N> inline iScalar<l> operator * (const iScalar<l>& lhs,const typename iScalar<l>::scalar_type rhs)
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{
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typename iScalar<l>::tensor_reduced srhs(rhs);
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return lhs*srhs;
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}
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template<class l,int N> inline iScalar<l> operator * (const typename iScalar<l>::scalar_type lhs,const iScalar<l>& rhs) { return rhs*lhs; }
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template<class l,int N> inline iVector<l,N> operator * (const iVector<l,N>& lhs,const typename iScalar<l>::scalar_type rhs)
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{
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typename iVector<l,N>::tensor_reduced srhs(rhs);
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return lhs*srhs;
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}
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template<class l,int N> inline iVector<l,N> operator * (const typename iScalar<l>::scalar_type lhs,const iVector<l,N>& rhs) { return rhs*lhs; }
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template<class l,int N> inline iMatrix<l,N> operator * (const iMatrix<l,N>& lhs,const typename iScalar<l>::scalar_type &rhs)
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{
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typename iMatrix<l,N>::tensor_reduced srhs(rhs);
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return lhs*srhs;
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}
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template<class l,int N> inline iMatrix<l,N> operator * (const typename iScalar<l>::scalar_type & lhs,const iMatrix<l,N>& rhs) { return rhs*lhs; }
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////////////////////////////////////////////////////////////////////
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// Double support; cast to "scalar_type" through constructor
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////////////////////////////////////////////////////////////////////
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template<class l> inline iScalar<l> operator * (const iScalar<l>& lhs,double rhs)
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{
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typename iScalar<l>::scalar_type t(rhs);
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typename iScalar<l>::tensor_reduced srhs(t);
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return lhs*srhs;
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}
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template<class l> inline iScalar<l> operator * (double lhs,const iScalar<l>& rhs) { return rhs*lhs; }
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template<class l,int N> inline iVector<l,N> operator * (const iVector<l,N>& lhs,double rhs)
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{
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typename iScalar<l>::scalar_type t(rhs);
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typename iScalar<l>::tensor_reduced srhs(t);
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return lhs*srhs;
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}
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template<class l,int N> inline iVector<l,N> operator * (double lhs,const iVector<l,N>& rhs) { return rhs*lhs; }
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template<class l,int N> inline iMatrix<l,N> operator * (const iMatrix<l,N>& lhs,double rhs)
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{
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typename iScalar<l>::scalar_type t(rhs);
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typename iScalar<l>::tensor_reduced srhs(t);
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return lhs*srhs;
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}
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template<class l,int N> inline iMatrix<l,N> operator * (double lhs,const iMatrix<l,N>& rhs) { return rhs*lhs; }
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////////////////////////////////////////////////////////////////////
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// Complex support; cast to "scalar_type" through constructor
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////////////////////////////////////////////////////////////////////
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template<class l> inline iScalar<l> operator * (const iScalar<l>& lhs,ComplexD rhs)
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{
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typename iScalar<l>::scalar_type t(rhs);
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typename iScalar<l>::tensor_reduced srhs(t);
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return lhs*srhs;
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}
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template<class l> inline iScalar<l> operator * (ComplexD lhs,const iScalar<l>& rhs) { return rhs*lhs; }
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template<class l,int N> inline iVector<l,N> operator * (const iVector<l,N>& lhs,ComplexD rhs)
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{
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typename iScalar<l>::scalar_type t(rhs);
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typename iScalar<l>::tensor_reduced srhs(t);
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return lhs*srhs;
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}
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template<class l,int N> inline iVector<l,N> operator * (ComplexD lhs,const iVector<l,N>& rhs) { return rhs*lhs; }
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template<class l,int N> inline iMatrix<l,N> operator * (const iMatrix<l,N>& lhs,ComplexD rhs)
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{
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typename iScalar<l>::scalar_type t(rhs);
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typename iScalar<l>::tensor_reduced srhs(t);
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return lhs*srhs;
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}
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template<class l,int N> inline iMatrix<l,N> operator * (ComplexD lhs,const iMatrix<l,N>& rhs) { return rhs*lhs; }
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////////////////////////////////////////////////////////////////////
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// Integer support; cast to "scalar_type" through constructor
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////////////////////////////////////////////////////////////////////
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template<class l> inline iScalar<l> operator * (const iScalar<l>& lhs,Integer rhs)
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{
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typename iScalar<l>::scalar_type t(rhs);
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typename iScalar<l>::tensor_reduced srhs(t);
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return lhs*srhs;
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}
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template<class l> inline iScalar<l> operator * (Integer lhs,const iScalar<l>& rhs) { return rhs*lhs; }
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template<class l,int N> inline iVector<l,N> operator * (const iVector<l,N>& lhs,Integer rhs)
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{
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typename iScalar<l>::scalar_type t(rhs);
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typename iScalar<l>::tensor_reduced srhs(t);
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return lhs*srhs;
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}
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template<class l,int N> inline iVector<l,N> operator * (Integer lhs,const iVector<l,N>& rhs) { return rhs*lhs; }
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template<class l,int N> inline iMatrix<l,N> operator * (const iMatrix<l,N>& lhs,Integer rhs)
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{
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typename iScalar<l>::scalar_type t(rhs);
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typename iScalar<l>::tensor_reduced srhs(t);
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return lhs*srhs;
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}
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template<class l,int N> inline iMatrix<l,N> operator * (Integer lhs,const iMatrix<l,N>& rhs) { return rhs*lhs; }
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///////////////////////////////////////////////////////////////////////////////////////////////
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// addition by fundamental scalar type applies to matrix(down diag) and scalar
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///////////////////////////////////////////////////////////////////////////////////////////////
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template<class l,int N> inline iScalar<l> operator + (const iScalar<l>& lhs,const typename iScalar<l>::scalar_type rhs)
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{
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typename iScalar<l>::tensor_reduced srhs(rhs);
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return lhs+srhs;
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}
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template<class l,int N> inline iScalar<l> operator + (const typename iScalar<l>::scalar_type lhs,const iScalar<l>& rhs) { return rhs+lhs; }
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template<class l,int N> inline iMatrix<l,N> operator + (const iMatrix<l,N>& lhs,const typename iScalar<l>::scalar_type rhs)
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{
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typename iMatrix<l,N>::tensor_reduced srhs(rhs);
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return lhs+srhs;
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}
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template<class l,int N> inline iMatrix<l,N> operator + (const typename iScalar<l>::scalar_type lhs,const iMatrix<l,N>& rhs) { return rhs+lhs; }
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////////////////////////////////////////////////////////////////////
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// Double support; cast to "scalar_type" through constructor
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////////////////////////////////////////////////////////////////////
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template<class l> inline iScalar<l> operator + (const iScalar<l>& lhs,double rhs)
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{
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typename iScalar<l>::scalar_type t(rhs);
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typename iScalar<l>::tensor_reduced srhs(t);
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return lhs+srhs;
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}
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template<class l> inline iScalar<l> operator + (double lhs,const iScalar<l>& rhs) { return rhs+lhs; }
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template<class l,int N> inline iMatrix<l,N> operator + (const iMatrix<l,N>& lhs,double rhs)
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{
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typename iScalar<l>::scalar_type t(rhs);
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typename iScalar<l>::tensor_reduced srhs(t);
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return lhs+srhs;
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}
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template<class l,int N> inline iMatrix<l,N> operator + (double lhs,const iMatrix<l,N>& rhs) { return rhs+lhs; }
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// Integer support cast to scalar type through constructor
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template<class l> inline iScalar<l> operator + (const iScalar<l>& lhs,Integer rhs)
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{
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typename iScalar<l>::scalar_type t(rhs);
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typename iScalar<l>::tensor_reduced srhs(t);
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return lhs+srhs;
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}
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template<class l> inline iScalar<l> operator + (Integer lhs,const iScalar<l>& rhs) { return rhs+lhs; }
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template<class l,int N> inline iMatrix<l,N> operator + (const iMatrix<l,N>& lhs,Integer rhs)
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{
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typename iScalar<l>::scalar_type t(rhs);
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typename iScalar<l>::tensor_reduced srhs(t);
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return lhs+srhs;
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}
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template<class l,int N> inline iMatrix<l,N> operator + (Integer lhs,const iMatrix<l,N>& rhs) { return rhs+lhs; }
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///////////////////////////////////////////////////////////////////////////////////////////////
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// subtraction of fundamental scalar type applies to matrix(down diag) and scalar
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///////////////////////////////////////////////////////////////////////////////////////////////
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template<class l,int N> inline iScalar<l> operator - (const iScalar<l>& lhs,const typename iScalar<l>::scalar_type rhs)
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{
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typename iScalar<l>::tensor_reduced srhs(rhs);
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return lhs-srhs;
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}
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template<class l,int N> inline iScalar<l> operator - (const typename iScalar<l>::scalar_type lhs,const iScalar<l>& rhs)
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{
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typename iScalar<l>::tensor_reduced slhs(lhs);
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return slhs-rhs;
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}
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template<class l,int N> inline iMatrix<l,N> operator - (const iMatrix<l,N>& lhs,const typename iScalar<l>::scalar_type rhs)
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{
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typename iScalar<l>::tensor_reduced srhs(rhs);
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return lhs-srhs;
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}
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template<class l,int N> inline iMatrix<l,N> operator - (const typename iScalar<l>::scalar_type lhs,const iMatrix<l,N>& rhs)
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{
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typename iScalar<l>::tensor_reduced slhs(lhs);
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return slhs-rhs;
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}
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////////////////////////////////////////////////////////////////////
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// Double support; cast to "scalar_type" through constructor
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////////////////////////////////////////////////////////////////////
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template<class l> inline iScalar<l> operator - (const iScalar<l>& lhs,double rhs)
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{
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typename iScalar<l>::scalar_type t(rhs);
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typename iScalar<l>::tensor_reduced srhs(t);
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return lhs-srhs;
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}
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template<class l> inline iScalar<l> operator - (double lhs,const iScalar<l>& rhs)
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{
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typename iScalar<l>::scalar_type t(lhs);
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typename iScalar<l>::tensor_reduced slhs(t);
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return slhs-rhs;
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}
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template<class l,int N> inline iMatrix<l,N> operator - (const iMatrix<l,N>& lhs,double rhs)
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{
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typename iScalar<l>::scalar_type t(rhs);
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typename iScalar<l>::tensor_reduced srhs(t);
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return lhs-srhs;
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}
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template<class l,int N> inline iMatrix<l,N> operator - (double lhs,const iMatrix<l,N>& rhs)
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{
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typename iScalar<l>::scalar_type t(lhs);
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typename iScalar<l>::tensor_reduced slhs(t);
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return slhs-rhs;
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}
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////////////////////////////////////////////////////////////////////
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// Integer support; cast to "scalar_type" through constructor
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////////////////////////////////////////////////////////////////////
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template<class l> inline iScalar<l> operator - (const iScalar<l>& lhs,Integer rhs)
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{
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typename iScalar<l>::scalar_type t(rhs);
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typename iScalar<l>::tensor_reduced srhs(t);
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return lhs-srhs;
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}
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template<class l> inline iScalar<l> operator - (Integer lhs,const iScalar<l>& rhs)
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{
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typename iScalar<l>::scalar_type t(lhs);
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typename iScalar<l>::tensor_reduced slhs(t);
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return slhs-rhs;
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}
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template<class l,int N> inline iMatrix<l,N> operator - (const iMatrix<l,N>& lhs,Integer rhs)
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{
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typename iScalar<l>::scalar_type t(rhs);
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typename iScalar<l>::tensor_reduced srhs(t);
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return lhs-srhs;
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}
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template<class l,int N> inline iMatrix<l,N> operator - (Integer lhs,const iMatrix<l,N>& rhs)
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{
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typename iScalar<l>::scalar_type t(lhs);
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typename iScalar<l>::tensor_reduced slhs(t);
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return slhs-rhs;
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}
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}
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#endif
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