GEO Namespace Reference

Geometry library. More...

Namespaces
namespace	INTERSECT
	Intersection detection.
namespace	RESOLVE
	Collision resolution.
Classes
struct	Vector4
	A 4d vector or point. More...
struct	Vector3
	A 3d vector or point. More...
struct	Vector2
	A 2d vector or point. More...
struct	Vector1
	A 1d value. More...
struct	Matrix4
	A 4x4 matrix. More...
struct	Matrix3
	A 3x3 matrix. More...
struct	Matrix2
	A 2x2 matrix. More...
struct	VectorN
	Base type of all vectors. More...
struct	MatrixN
	Base type of all square matrices (row-based) More...
struct	Line
	A line or ray. More...
struct	Plane
	A plane. More...
struct	Sphere
	A sphere. More...
struct	AARectoid
	Axis-aligned 3d rectangle. More...
struct	XAlignedUnboundedCylinder
	A an unbounded cylendar aligned along the x axis. More...
struct	YAlignedEllipsoid
	An ellipsoid whose stretch is aligned along the y axis. More...
struct	Line2D
	A line or ray. More...
struct	Circle
	a circle More...
struct	AxisAlignedEllipse
	an ellipse aligned to the x and y axis More...
Functions
float	MatDeterminant (const Matrix4 &mat)
	finds the determinant of a matrix
float	MatDeterminant (const Matrix3 &mat)
	finds the determinant of a matrix
Matrix4	MatProjectionFoV (float fov=PI/2, float aspectYdivX=1.0f, float nearZ=1.0f, float farZ=1000.0f)
	constructs a perspective projection transform
Matrix4	MatProjectionOrtho (float left, float right, float bottom, float top, float nearZ=1.0f, float farZ=1000.0f)
	constructs a parallel projection transform
Matrix4	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
bool	NearEqual (float c0, float c1, float tolerance=FLOAT_TOLERANCE)
	compare elements for "near equal"
template<typename VecType >
bool	NearEqual (const VecType &v1, const VecType &v2, float tolerance=FLOAT_TOLERANCE)
	compare elements for "near equal"
template<typename VecType >
bool	NearEqual (const VecType &v, float c, float tolerance=FLOAT_TOLERANCE)
	compare elements for "near equal"
bool	IsFinite (float c)
	return true if a float is valid
template<typename VecType >
bool	IsFinite (VecType &v)
	returns true if all elements are valid floats
template<typename VecType >
VecType	Clamp (const VecType &val, const VecType &min, const VecType &max)
	component-wise clamps val between min and max and returns the result
float	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	VecDot (const VecType1 &v1, const VecType2 &v2)
	dot product
template<typename VecType >
VecType	VecNormal (const VecType &v)
	get the normalized version of a vector
template<typename VecType >
void	VecNormalize (VecType &v)
	normalize a vector
template<typename VecType1 , typename VecType2 >
float	VecAngleBetween (const VecType1 &l1, const VecType2 &l2)
	angle between vectors
template<typename VecType1 , typename VecType2 >
float	VecDistance (const VecType1 &l1, const VecType2 &l2)
	distance between two points
template<typename VecType1 , typename VecType2 >
VecType1	VecReflect (const VecType1 &vec, const VecType2 &norm)
	reflect a vector off of a normal
template<typename MatType >
MatType	MatMul (const MatType &m1, const MatType &m2)
	multiply two matrices
float	MatDeterminant (const Matrix2 &mat)
	finds the determinant of a matrix
template<typename MatType >
MatType	MatTranspose (const MatType &mat)
	finds the transpose of a matrix
template<typename MatType >
MatType	MatInverse (const MatType &mat)
	finds the inverse of a matrix (undefined behaviour if inverse does not exist)
Matrix3	MatRotateX (float angle)
	creates a matrix that rotates around the x axis
Matrix3	MatRotateY (float angle)
	creates a matrix that rotates around the y axis
Matrix3	MatRotateZ (float angle)
	creates a matrix that rotates around the z axis
Matrix3	MatRotateAxis (const Vector3 &axis, float angle)
	creates a matrix that rotates around an axis
template<typename VecType >
VecType::GreaterMatrixType	MatTranslate (const VecType &offset)
	builds a translation matrix
template<typename VecType >
VecType::GreaterMatrixType	MatScale (const VecType &scale)
	builds a scaling matrix
Matrix4	MatProjectionOrtho (float nearZ=1.0f, float farZ=1000.0f)
	constructs a parallel projection transform (from -1 to 1 on the x and y axis)
template<typename VecType >
VecType	TransformVector (const typename VecType::MatrixType &m, const VecType &v)
	multiply a matrix by a vector
struct Vector3	VecCross (const struct Vector3 &v1, const struct Vector3 &v2)
	cross product
template<typename T >
T	Lerp (const T &e0, const T &e1, float w)
	interpolates between two value, with w as the interpolator between 0 and 1
template<typename T >
T	Bilerp (const T &e00, const T &e10, const T &e01, const T &e11, float x, float y)
	bilinearly interpolates between four value (with x and y from 0 to 1)
template<typename T >
T	AdjustTowardsTarget (const T &current, const T &target, const T &change)
	adjust current in the direction of target by at most change
Variables
const float	PI2 = 6.2831853071f
	2 PI
const float	PI = 3.14159265f
	PI.
const float	FLOAT_TOLERANCE = 0.00001f
	Acceptable range of closeness to count floats as equal.

---

Detailed Description

Geometry library.