transformutils.h File Reference

#include "ion/math/angle.h"
#include "ion/math/matrix.h"
#include "ion/math/rotation.h"
#include "ion/math/vector.h"

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Namespaces
	ion
	Copyright 2016 Google Inc.
	ion::math

Functions
template<int Dimension, typename T >
const Vector< Dimension, T >	ion::math::operator* (const Matrix< Dimension+1, T > &m, const Vector< Dimension, T > &v)
	Transforming vectors and points. More...
template<int Dimension, typename T >
const Point< Dimension, T >	ion::math::operator* (const Matrix< Dimension+1, T > &m, const Point< Dimension, T > &p)
	Multiplies a Matrix and a Point of one smaller Dimension (the template parameter) to produce another Point. More...
template<int Dimension, typename T >
const Point< Dimension, T >	ion::math::ProjectPoint (const Matrix< Dimension+1, T > &m, const Point< Dimension, T > &p)
	Multiplies a Matrix and a Point of one smaller Dimension (the template parameter) to produce another Point and projects it by dividing by the homogeneous coordinate. More...
template<typename T >
Matrix< 3, T >	ion::math::NonhomogeneousSubmatrixH (const Matrix< 4, T > &m)
	Homogeneous matrices. More...
template<typename T >
const Matrix< 4, T >	ion::math::OrthoInverseH (const Matrix< 4, T > &m)
	Public functions. More...
template<int Dimension, typename T >
const Matrix< Dimension+1, T >	ion::math::TranslationMatrix (const VectorBase< Dimension, T > &t)
	Affine transformation matrices. More...
template<int Dimension, typename T >
const Matrix< Dimension+1, T >	ion::math::ScaleMatrixH (const Vector< Dimension, T > &s)
	Returns a Matrix representing a scale by the factors in a Vector whose Dimension is one less than the Dimension of the Matrix. More...
template<int Dimension, typename T >
const Matrix< Dimension, T >	ion::math::ScaleMatrixNH (const Vector< Dimension, T > &s)
	Returns a Matrix representing a scale by the factors in a Vector, which is the same Dimension as the Matrix. More...
template<typename T >
ION_API const Matrix< 4, T >	ion::math::RotationMatrixH (const Rotation< T > &r)
	Returns a 4x4 Matrix representing a 3D rotation. More...
template<typename T >
ION_API const Matrix< 3, T >	ion::math::RotationMatrixNH (const Rotation< T > &r)
	Returns a 3x3 Matrix representing a 3D rotation. More...
template<typename T >
const Matrix< 4, T >	ion::math::RotationMatrixAxisAngleH (const Vector< 3, T > &axis, const Angle< T > &angle)
	Returns a 4x4 Matrix representing a 3D rotation specified as axis and angle. More...
template<typename T >
const Matrix< 3, T >	ion::math::RotationMatrixAxisAngleNH (const Vector< 3, T > &axis, const Angle< T > &angle)
	Returns a 3x3 Matrix representing a 3D rotation specified as axis and angle. More...
template<typename T >
ION_API const Matrix< 4, T >	ion::math::LookAtMatrixFromCenter (const Point< 3, T > &eye, const Point< 3, T > &center, const Vector< 3, T > &up)
	View matrices. More...
template<typename T >
ION_API const Matrix< 4, T >	ion::math::LookAtMatrixFromDir (const Point< 3, T > &eye, const Vector< 3, T > &dir, const Vector< 3, T > &up)
	Returns a 4x4 viewing matrix based on the given camera parameters, which use a view direction rather than look at center point. More...
template<typename T >
ION_API const Matrix< 4, T >	ion::math::OrthographicMatrixFromFrustum (T x_left, T x_right, T y_bottom, T y_top, T z_near, T z_far)
	Projection matrices. More...
template<typename T >
ION_API const Matrix< 4, T >	ion::math::PerspectiveMatrixFromFrustum (T x_left, T x_right, T y_bottom, T y_top, T z_near, T z_far)
	Returns a 4x4 perspective projection matrix based on the given parameters, which follow the conventions of the old glFrustum() function. More...
template<typename T >
ION_API const Matrix< 4, T >	ion::math::PerspectiveMatrixFromView (const Angle< T > &fovy, T aspect, T z_near, T z_far)
	Returns a 4x4 perspective projection matrix based on the given parameters, which follow the conventions of the gluPerspective() function. More...
template<typename T >
const Matrix< 4, T >	ion::math::PerspectiveMatrixInverse (const Matrix< 4, T > &m)
	Returns the inverse of m iff m is a perspective projection matrix, i.e., iff it has the following form: [X 0 A 0] [0 Y B 0] [0 0 C D] [0 0 -1 0] Triggers a DCHECK otherwise. More...