matrixutils.h File Reference

#include "ion/math/matrix.h"
#include "ion/math/utils.h"
#include "ion/math/vector.h"

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Namespaces
	ion
	Copyright 2016 Google Inc.
	ion::math
	ion::math::internal
	Internal helper functions.

Functions
template<int Dimension, typename T , typename VectorType >
VectorType	ion::math::internal::MultiplyMatrixAndVector (const Matrix< Dimension, T > &m, const VectorType &v)
	Multiplies a matrix and some type of column vector (Vector or Point) to produce another column vector of the same type. More...
template<int Dimension, typename T >
Matrix< Dimension, T >	ion::math::Transpose (const Matrix< Dimension, T > &m)
	Public functions. More...
template<int Dimension, typename T >
Vector< Dimension, T >	ion::math::operator* (const Matrix< Dimension, T > &m, const Vector< Dimension, T > &v)
	Multiplies a Matrix and a column Vector of the same Dimension to produce another column Vector. More...
template<int Dimension, typename T >
Point< Dimension, T >	ion::math::operator* (const Matrix< Dimension, T > &m, const Point< Dimension, T > &p)
	Multiplies a Matrix and a Point of the same Dimension to produce another Point. More...
template<int Dimension, typename T >
Vector< Dimension, T >	ion::math::Row (const Matrix< Dimension, T > &m, int row)
	Returns a particular row of a matrix as a vector. More...
template<int Dimension, typename T >
Vector< Dimension, T >	ion::math::Column (const Matrix< Dimension, T > &m, int col)
	Returns a particular column of a matrix as a vector. More...
template<int Dimension, typename T >
ION_API T	ion::math::Determinant (const Matrix< Dimension, T > &m)
	Returns the determinant of the matrix. More...
template<int Dimension, typename T >
ION_API Matrix< Dimension, T >	ion::math::CofactorMatrix (const Matrix< Dimension, T > &m)
	Returns the signed cofactor matrix (adjunct) of the matrix. More...
template<int Dimension, typename T >
ION_API Matrix< Dimension, T >	ion::math::AdjugateWithDeterminant (const Matrix< Dimension, T > &m, T *determinant)
	Returns the adjugate of the matrix, which is defined as the transpose of the cofactor matrix. More...
template<int Dimension, typename T >
Matrix< Dimension, T >	ion::math::Adjugate (const Matrix< Dimension, T > &m)
	Returns the adjugate of the matrix, which is defined as the transpose of the cofactor matrix. More...
template<int Dimension, typename T >
ION_API Matrix< Dimension, T >	ion::math::InverseWithDeterminant (const Matrix< Dimension, T > &m, T *determinant)
	Returns the inverse of the matrix. More...
template<int Dimension, typename T >
Matrix< Dimension, T >	ion::math::Inverse (const Matrix< Dimension, T > &m)
	Returns the inverse of the matrix. More...
template<int Dimension, typename T >
bool	ion::math::MatrixAlmostOrthogonal (const Matrix< Dimension, T > &m, T tolerance)
	Returns true if the dot product of all column vector pairs in the matrix is less than a provided tolerance, and if all column vectors have unit length. More...