Geo.h File Reference

Vector and matrix primitives and operations. More...

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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::Vector1
	A 1d value. More...
struct	GEO::Matrix4
	A 4x4 matrix. More...
struct	GEO::Matrix3
	A 3x3 matrix. More...
struct	GEO::Matrix2
	A 2x2 matrix. More...
Namespaces
namespace	GEO
	Geometry library.
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 >
VecType	GEO::Clamp (const VecType &val, const VecType &min, const VecType &max)
	component-wise clamps val between min and max and returns the result
float	GEO::Clamp (const float &val, const float &min, const float &max)
	clamps val between min and max and returns the result
template<typename VecType1 , typename VecType2 >
float	GEO::VecDot (const VecType1 &v1, const VecType2 &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 VecType1 , typename VecType2 >
float	GEO::VecAngleBetween (const VecType1 &l1, const VecType2 &l2)
	angle between vectors
template<typename VecType1 , typename VecType2 >
float	GEO::VecDistance (const VecType1 &l1, const VecType2 &l2)
	distance between two points
template<typename VecType1 , typename VecType2 >
VecType1	GEO::VecReflect (const VecType1 &vec, const VecType2 &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
template<typename VecType >
VecType::GreaterMatrixType	GEO::MatScale (const VecType &scale)
	builds a scaling matrix
Matrix4	GEO::MatProjectionFoV (float fov=PI/2, float aspectYdivX=1.0f, float nearZ=1.0f, float farZ=1000.0f)
	constructs a perspective projection transform
Matrix4	GEO::MatProjectionOrtho (float left, float right, float bottom, float top, float nearZ=1.0f, float farZ=1000.0f)
	constructs a parallel projection transform
Matrix4	GEO::MatProjectionOrtho (float nearZ=1.0f, float farZ=1000.0f)
	constructs a parallel projection transform (from -1 to 1 on the x and y axis)
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

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Detailed Description

Vector and matrix primitives and operations.