geo/Geo.h File Reference

Vector and matrix primitives and operations. More...

#include <cmath>
#include <string>
#include "base/Types.h"
#include "GeoBases.h"
#include "Geo.cpp"

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Namespaces
namespace	GEO
Classes
struct	GEO::Vector4
	A 4d vector or point. More...
struct	GEO::Vector3
	A 3d vector or point. More...
struct	GEO::Vector2
	A 2d vector or point. More...
struct	GEO::Matrix4
	A 4x4 matrix. More...
struct	GEO::Matrix3
	A 3x3 matrix. More...
struct	GEO::Matrix2
	A 2x2 matrix. More...
Functions
bool	GEO::NearEqual (float c0, float c1, float tolerance=FLOAT_TOLERANCE)
	compare elements for "near equal"
template<typename VecType>
bool	GEO::NearEqual (const VecType &v1, const VecType &v2, float tolerance=FLOAT_TOLERANCE)
	compare elements for "near equal"
template<typename VecType>
bool	GEO::NearEqual (const VecType &v, float c, float tolerance=FLOAT_TOLERANCE)
	compare elements for "near equal"
bool	GEO::IsFinite (float c)
	return true if a float is valid
template<typename VecType>
bool	GEO::IsFinite (VecType &v)
	returns true if all elements are valid floats
template<typename VecType>
float	GEO::VecDot (const VecType &v1, const VecType &v2)
	dot product
struct Vector3	GEO::VecCross (const struct Vector3 &v1, const struct Vector3 &v2)
	cross product
template<typename VecType>
VecType	GEO::VecNormal (const VecType &v)
	get the normalized version of a vector
template<typename VecType>
void	GEO::VecNormalize (VecType &v)
	normalize a vector
template<typename VecType>
float	GEO::VecAngleBetween (const VecType &l1, const VecType &l2)
	angle between vectors
template<typename VecType>
VecType	GEO::VecReflect (const VecType &vec, const VecType &norm)
	reflect a vector off of a normal
template<typename MatType>
MatType	GEO::MatMul (const MatType &m1, const MatType &m2)
	multiply two matrices
float	GEO::MatDeterminant (const Matrix4 &mat)
	finds the determinant of a matrix
float	GEO::MatDeterminant (const Matrix3 &mat)
	finds the determinant of a matrix
float	GEO::MatDeterminant (const Matrix2 &mat)
	finds the determinant of a matrix
template<typename MatType>
MatType	GEO::MatTranspose (const MatType &mat)
	finds the transpose of a matrix
template<typename MatType>
MatType	GEO::MatInverse (const MatType &mat)
	finds the inverse of a matrix (undefined behaviour if inverse does not exist)
Matrix3	GEO::MatRotateX (float angle)
	creates a matrix that rotates around the x axis
Matrix3	GEO::MatRotateY (float angle)
	creates a matrix that rotates around the y axis
Matrix3	GEO::MatRotateZ (float angle)
	creates a matrix that rotates around the z axis
Matrix3	GEO::MatRotateAxis (const Vector3 &axis, float angle)
	creates a matrix that rotates around an axis
template<typename VecType>
VecType::GreaterMatrixType	GEO::MatTranslate (const VecType &offset)
	builds a translation matrix
Matrix4	GEO::MatProjectionFoV (float fov=PI/2, float aspectYdivX=1.0f, float nearZ=1.0f, float farZ=1000.0f)
	constructs a left-handed perspective projection transform
Matrix4	GEO::MatViewLookAt (const Vector3 &pos, const Vector3 &tar, const Vector3 &vagueUp=Vector3(0, 0, 1), bool flipVert=false, bool flipHorz=false)
	constructs a look-at-based left-handed view transformation
template<typename VecType>
VecType	GEO::TransformVector (const typename VecType::MatrixType &m, const VecType &v)
	multiply a matrix by a vector
Variables
const float	GEO::PI2
	2 PI
const float	GEO::PI
	PI.
const float	GEO::FLOAT_TOLERANCE
	Acceptable range of closeness to count floats as equal.

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Detailed Description

Vector and matrix primitives and operations.

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