Matrices

Matrix class and functions. More...

Detailed Description

Matrix class and functions.

MathFu provides a generic Matrix implementation which is specialized for 4x4 matrices to take advantage of optimization opportunities using SIMD instructions.

Classes
class	mathfu::Matrix< T, rows, columns >
	Matrix stores a set of "rows" by "columns" elements of type T and provides functions that operate on the set of elements. More...
class	mathfu::Constants< float >
	Functions that return constants for float values. More...
class	mathfu::Constants< double >
	Functions that return constants for double values. More...

Typedefs
typedef Matrix< float, 4, 3 >	mathfu::AffineTransform
	A typedef representing a 4x3 float affine transformation. Since the last row ('w' row) of an affine transformation is fixed, this data type only includes the variable information for the transform.

Functions
template<class T , int rows, int columns>
Matrix< T, rows, columns >	operator* (const T &s, const Matrix< T, columns, rows > &m)
	Multiply each element of a Matrix by a scalar. More...
template<class T , int rows, int columns>
Vector< T, rows >	operator* (const Matrix< T, rows, columns > &m, const Vector< T, columns > &v)
	Multiply a Matrix by a Vector. More...
template<class T >
Vector< T, 3 >	operator* (const Matrix< T, 4, 4 > &m, const Vector< T, 3 > &v)
	Multiply a 4x4 Matrix by a 3-dimensional Vector. More...

Function Documentation

template<class T , int rows, int columns>

Matrix< T, rows, columns > operator* ( const T &  s, const Matrix< T, columns, rows > &  m  )

related

Multiply each element of a Matrix by a scalar.

Parameters

s	Scalar to multiply by.
m	Matrix to multiply.

Returns

Matrix containing the result.

Template Parameters

T	Type of each element in the Matrix and the scalar type.
rows	Number of rows in the matrix.
columns	Number of columns in the matrix.

template<class T , int rows, int columns>

Vector< T, rows > operator* ( const Matrix< T, rows, columns > &  m, const Vector< T, columns > &  v  )

related

Multiply a Matrix by a Vector.

Note

Template specialized versions are implemented for 2x2, 3x3, and 4x4 matrices to increase performance. The 3x3 float is also specialized to supported padded the 3-dimensional Vector in SIMD build configurations.

Parameters

m	Matrix to multiply.
v	Vector to multiply.

Returns

Vector containing the result.

template<class T >

Vector< T, 3 > operator* ( const Matrix< T, 4, 4 > &  m, const Vector< T, 3 > &  v  )

related

Multiply a 4x4 Matrix by a 3-dimensional Vector.

This is provided as a convenience and assumes the vector has a fourth component equal to 1.

Parameters

m	4x4 Matrix.
v	3-dimensional Vector.

Returns

3-dimensional Vector result.