Implementation of a 3x3 matrix.
#include "FPClassify.h"#include "MathTrait.h"#include "Vector3.h"#include "core/debug/Debug.h"#include "core/mpi/Datatype.h"#include "core/mpi/RecvBuffer.h"#include "core/mpi/SendBuffer.h"#include <type_traits>#include <algorithm>#include <array>#include <cmath>#include <iostream>#include <limits>Classes | |
| class | walberla::math::Matrix3< Type > |
| Efficient, generic implementation of a 3x3 matrix. More... | |
| struct | walberla::VectorTrait< Matrix3< T > > |
| struct | walberla::mpi::BufferSizeTrait< walberla::math::Matrix3< VT > > |
| struct | walberla::MPITrait< Matrix3< T > > |
Namespaces | |
| walberla | |
| \file TimestepTracker.h \ingroup lbm \author Frederik Hennig frederik.hennig@fau.de | |
| walberla::math | |
| walberla::debug | |
| walberla::debug::check_functions_detail | |
| walberla::mpi | |
Macros | |
| #define | HIGH typename MathTrait<Type,Other>::High |
| High-order return value. More... | |
Functions | |
| template<typename Type > | |
| const Matrix3< Type > | walberla::math::operator- (const Matrix3< Type > &rhs) |
| Negation operator for the negation of one matrix. More... | |
| template<> | |
| bool | walberla::debug::check_functions_detail::check_float_equal (const math::Matrix3< real_t > &lhs, const math::Matrix3< real_t > &rhs) |
| template<> | |
| bool | walberla::debug::check_functions_detail::check_float_equal_eps (const math::Matrix3< real_t > &lhs, const math::Matrix3< real_t > &rhs, const real_t epsilon) |
| template<typename T , typename G , typename MT > | |
| mpi::GenericSendBuffer< T, G > & | walberla::mpi::operator<< (mpi::GenericSendBuffer< T, G > &buf, const Matrix3< MT > &m) |
| template<typename T , typename MT > | |
| mpi::GenericRecvBuffer< T > & | walberla::mpi::operator>> (mpi::GenericRecvBuffer< T > &buf, Matrix3< MT > &m) |
Matrix3 operators | |
| template<typename Type > | |
| std::ostream & | walberla::math::operator<< (std::ostream &os, const Matrix3< Type > &m) |
| Global output operator for 3x3 matrices. More... | |
| template<typename Type > | |
| bool | walberla::math::isnan (const Matrix3< Type > &m) |
| Checks the given matrix for not-a-number elements. More... | |
| template<typename Type > | |
| const Matrix3< Type > | walberla::math::abs (const Matrix3< Type > &m) |
| Returns a matrix containing the absolute values of each single element of m. More... | |
| template<typename Type > | |
| const Matrix3< Type > | walberla::math::fabs (const Matrix3< Type > &m) |
| Returns a matrix containing the absolute values of each single element of m. More... | |
| template<typename Type , typename Other > | |
| std::enable_if< std::is_arithmetic< Other >::value, const Matrix3< typename MathTrait< Type, Other >::High > >::type | walberla::math::operator* (Other scalar, const Matrix3< Type > &matrix) |
| Multiplication operator for the multiplication of a scalar value and a matrix. More... | |
| template<typename Type > | |
| const Matrix3< Type > | walberla::math::skewSymCrossProduct (const Matrix3< Type > &mat, const Vector3< Type > &vec) |
| Cross product (outer product) between a matrix and a vector ( \( R = M \cdot r^{\times} \)). More... | |
| template<typename Type > | |
| const Matrix3< Type > | walberla::math::skewSymCrossProduct (const Vector3< Type > &vec, const Matrix3< Type > &mat) |
| Cross product (outer product) between a vector and a matrix ( \( R = r^{\times} \cdot M \)). More... | |
| template<typename Type > | |
| const Matrix3< Type > | walberla::math::dyadicProduct (const Vector3< Type > &vec1, const Vector3< Type > &vec2) |
| Dyadic product of two vectors ( \( M = u \otimes v \)). More... | |
| template<typename Type > | |
| bool | walberla::math::isinf (const Matrix3< Type > &m) |
| Checks the given matrix for infinite elements. More... | |
| template<typename T0 , typename T1 > | |
| Matrix3< typename MathTrait< T0, T1 >::High > | walberla::math::tensorProduct (Vector3< T0 > v0, Vector3< T1 > v1) |
| template<typename Type > | |
| Matrix3< Type > | walberla::math::transformMatrixRART (const Matrix3< Type > &R, const Matrix3< Type > &A) |
| Equivalent to R*A*R.getTranspose(). More... | |
Matrix3 operators | |
| template<typename Type > | |
| std::ostream & | walberla::math::operator<< (std::ostream &os, const Matrix3< Type > &m) |
| Global output operator for 3x3 matrices. More... | |
| template<typename Type > | |
| bool | walberla::math::isnan (const Matrix3< Type > &m) |
| Checks the given matrix for not-a-number elements. More... | |
| template<typename Type > | |
| const Matrix3< Type > | walberla::math::abs (const Matrix3< Type > &m) |
| Returns a matrix containing the absolute values of each single element of m. More... | |
| template<typename Type > | |
| const Matrix3< Type > | walberla::math::fabs (const Matrix3< Type > &m) |
| Returns a matrix containing the absolute values of each single element of m. More... | |
| template<typename Type , typename Other > | |
| std::enable_if< std::is_arithmetic< Other >::value, const Matrix3< typename MathTrait< Type, Other >::High > >::type | walberla::math::operator* (Other scalar, const Matrix3< Type > &matrix) |
| Multiplication operator for the multiplication of a scalar value and a matrix. More... | |
| template<typename Type > | |
| const Matrix3< Type > | walberla::math::skewSymCrossProduct (const Matrix3< Type > &mat, const Vector3< Type > &vec) |
| Cross product (outer product) between a matrix and a vector ( \( R = M \cdot r^{\times} \)). More... | |
| template<typename Type > | |
| const Matrix3< Type > | walberla::math::skewSymCrossProduct (const Vector3< Type > &vec, const Matrix3< Type > &mat) |
| Cross product (outer product) between a vector and a matrix ( \( R = r^{\times} \cdot M \)). More... | |
| template<typename Type > | |
| const Matrix3< Type > | walberla::math::dyadicProduct (const Vector3< Type > &vec1, const Vector3< Type > &vec2) |
| Dyadic product of two vectors ( \( M = u \otimes v \)). More... | |
| template<typename Type > | |
| bool | walberla::math::isinf (const Matrix3< Type > &m) |
| Checks the given matrix for infinite elements. More... | |
| template<typename T0 , typename T1 > | |
| Matrix3< typename MathTrait< T0, T1 >::High > | walberla::math::tensorProduct (Vector3< T0 > v0, Vector3< T1 > v1) |
| template<typename Type > | |
| Matrix3< Type > | walberla::math::transformMatrixRART (const Matrix3< Type > &R, const Matrix3< Type > &A) |
| Equivalent to R*A*R.getTranspose(). More... | |
| #define HIGH typename MathTrait<Type,Other>::High |
High-order return value.
Abbreviation for the evaluation of the higher-order data type in a numerical operation.