Chemical Data Processing Library C++ API - Version 1.1.1
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Definition of various matrix expression types and operations. More...
#include <type_traits>
#include "CDPL/Math/Check.hpp"
#include "CDPL/Math/Expression.hpp"
#include "CDPL/Math/CommonType.hpp"
#include "CDPL/Math/Functional.hpp"
#include "CDPL/Math/TypeTraits.hpp"
#include "CDPL/Base/Exceptions.hpp"
Go to the source code of this file.
Namespaces | |
CDPL | |
The namespace of the Chemical Data Processing Library. | |
CDPL::Math | |
Contains classes and functions related to mathematics. | |
Functions | |
template<typename E > | |
MatrixUnaryTraits< E, ScalarNegation< typename E::ValueType > >::ResultType | CDPL::Math::operator- (const MatrixExpression< E > &e) |
template<typename E > | |
const E & | CDPL::Math::operator+ (const MatrixExpression< E > &e) |
template<typename E1 , typename E2 > | |
MatrixBinary1Traits< E1, E2, ScalarAddition< typename E1::ValueType, typename E2::ValueType > >::ResultType | CDPL::Math::operator+ (const MatrixExpression< E1 > &e1, const MatrixExpression< E2 > &e2) |
template<typename E1 , typename E2 > | |
MatrixBinary1Traits< E1, E2, ScalarSubtraction< typename E1::ValueType, typename E2::ValueType > >::ResultType | CDPL::Math::operator- (const MatrixExpression< E1 > &e1, const MatrixExpression< E2 > &e2) |
template<typename E , typename T > | |
std::enable_if< IsScalar< T >::value, typename Scalar2MatrixBinaryTraits< E, T, ScalarMultiplication< typename E::ValueType, T > >::ResultType >::type | CDPL::Math::operator* (const MatrixExpression< E > &e, const T &t) |
template<typename T , typename E > | |
std::enable_if< IsScalar< T >::value, typename Scalar1MatrixBinaryTraits< T, E, ScalarMultiplication< T, typename E::ValueType > >::ResultType >::type | CDPL::Math::operator* (const T &t, const MatrixExpression< E > &e) |
template<typename E , typename T > | |
std::enable_if< IsScalar< T >::value, typename Scalar2MatrixBinaryTraits< E, T, ScalarDivision< typename E::ValueType, T > >::ResultType >::type | CDPL::Math::operator/ (const MatrixExpression< E > &e, const T &t) |
template<typename E1 , typename E2 > | |
MatrixEquality< E1, E2 >::ResultType | CDPL::Math::operator== (const MatrixExpression< E1 > &e1, const MatrixExpression< E2 > &e2) |
template<typename E1 , typename E2 > | |
MatrixEquality< E1, E2 >::ResultType | CDPL::Math::operator!= (const MatrixExpression< E1 > &e1, const MatrixExpression< E2 > &e2) |
template<typename E1 , typename E2 , typename T > | |
std::enable_if< std::is_arithmetic< T >::value, typename MatrixToleranceEquality< E1, E2, T >::ResultType >::type | CDPL::Math::equals (const MatrixExpression< E1 > &e1, const MatrixExpression< E2 > &e2, const T &eps) |
template<typename E > | |
MatrixUnaryTraits< E, ScalarConjugation< typename E::ValueType > >::ResultType | CDPL::Math::conj (const MatrixExpression< E > &e) |
template<typename E > | |
MatrixUnaryTraits< E, ScalarConjugation< typename E::ValueType > >::ResultType | CDPL::Math::herm (const MatrixExpression< E > &e) |
template<typename E > | |
MatrixUnaryTraits< E, ScalarReal< typename E::ValueType > >::ResultType | CDPL::Math::real (const MatrixExpression< E > &e) |
template<typename E > | |
MatrixUnaryTraits< E, ScalarImaginary< typename E::ValueType > >::ResultType | CDPL::Math::imag (const MatrixExpression< E > &e) |
template<typename E1 , typename E2 > | |
VectorMatrixBinaryTraits< E1, E2, ScalarMultiplication< typename E1::ValueType, typename E2::ValueType > >::ResultType | CDPL::Math::outerProd (const VectorExpression< E1 > &e1, const VectorExpression< E2 > &e2) |
template<typename E1 , typename E2 > | |
MatrixBinary1Traits< E1, E2, ScalarDivision< typename E1::ValueType, typename E2::ValueType > >::ResultType | CDPL::Math::elemDiv (const MatrixExpression< E1 > &e1, const MatrixExpression< E2 > &e2) |
template<typename E1 , typename E2 > | |
MatrixBinary1Traits< E1, E2, ScalarMultiplication< typename E1::ValueType, typename E2::ValueType > >::ResultType | CDPL::Math::elemProd (const MatrixExpression< E1 > &e1, const MatrixExpression< E2 > &e2) |
template<typename E1 , typename E2 > | |
Matrix1VectorBinaryTraits< E1, E2, MatrixVectorProduct< E1, E2 > >::ResultType | CDPL::Math::operator* (const MatrixExpression< E1 > &e1, const VectorExpression< E2 > &e2) |
template<typename E1 , typename E2 > | |
Matrix1VectorBinaryTraits< E1, E2, MatrixVectorProduct< E1, E2 > >::ResultType | CDPL::Math::prod (const MatrixExpression< E1 > &e1, const VectorExpression< E2 > &e2) |
template<typename C , typename E1 , typename E2 > | |
C & | CDPL::Math::prod (const MatrixExpression< E1 > &e1, const VectorExpression< E2 > &e2, VectorContainer< C > &c) |
template<typename E1 , typename E2 > | |
Matrix2VectorBinaryTraits< E1, E2, VectorMatrixProduct< E1, E2 > >::ResultType | CDPL::Math::operator* (const VectorExpression< E1 > &e1, const MatrixExpression< E2 > &e2) |
template<typename E1 , typename E2 > | |
Matrix2VectorBinaryTraits< E1, E2, VectorMatrixProduct< E1, E2 > >::ResultType | CDPL::Math::prod (const VectorExpression< E1 > &e1, const MatrixExpression< E2 > &e2) |
template<typename C , typename E1 , typename E2 > | |
C & | CDPL::Math::prod (const VectorExpression< E1 > &e1, const MatrixExpression< E2 > &e2, VectorContainer< C > &c) |
template<typename E1 , typename E2 > | |
MatrixBinary2Traits< E1, E2, MatrixProduct< E1, E2 > >::ResultType | CDPL::Math::operator* (const MatrixExpression< E1 > &e1, const MatrixExpression< E2 > &e2) |
template<typename E1 , typename E2 > | |
MatrixBinary2Traits< E1, E2, MatrixProduct< E1, E2 > >::ResultType | CDPL::Math::prod (const MatrixExpression< E1 > &e1, const MatrixExpression< E2 > &e2) |
template<typename C , typename E1 , typename E2 > | |
C & | CDPL::Math::prod (const MatrixExpression< E1 > &e1, const MatrixExpression< E2 > &e2, MatrixContainer< C > &c) |
template<typename E > | |
MatrixTrace< E >::ResultType | CDPL::Math::trace (const MatrixExpression< E > &e) |
template<typename E > | |
MatrixNorm1< E >::ResultType | CDPL::Math::norm1 (const MatrixExpression< E > &e) |
template<typename E > | |
MatrixNormFrobenius< E >::ResultType | CDPL::Math::normFrob (const MatrixExpression< E > &e) |
template<typename E > | |
MatrixNormInfinity< E >::ResultType | CDPL::Math::normInf (const MatrixExpression< E > &e) |
template<typename E > | |
VectorMatrixUnaryTraits< E, DiagonalMatrixFromVector< E > >::ResultType | CDPL::Math::diag (const VectorExpression< E > &e) |
template<typename E > | |
VectorMatrixUnaryTraits< E, CrossProductMatrixFromVector< E > >::ResultType | CDPL::Math::cross (const VectorExpression< E > &e) |
template<typename E > | |
MatrixTranspose< E > | CDPL::Math::trans (MatrixExpression< E > &e) |
template<typename E > | |
MatrixTranspose< const E > | CDPL::Math::trans (const MatrixExpression< E > &e) |
template<typename E > | |
MatrixElementSum< E >::ResultType | CDPL::Math::sum (const MatrixExpression< E > &e) |
Definition of various matrix expression types and operations.