niLang Math

Detailed Description

Classes
struct	Complex< T >
	Complex number template. More...
struct	sDecomposedMatrix< T >
	Decomposed matrix template. More...
struct	FPUMode
	Utility call to control the x87 FPU modes. More...
struct	sRect< T >
	Rect template class. More...
struct	XMatrix< N, M, T >

Typedefs
typedef Complex< tF32 >	Complexf
	tF32 complex number More...
typedef Complex< tF64 >	Complexd
	tF64 complex number More...
typedef sDecomposedMatrix< tF32 >	sDecomposedMatrixf
	Decomposed matrix tF32. More...
typedef sDecomposedMatrix< tF64 >	sDecomposedMatrixd
	Decomposed matrix tF64. More...
typedef sRect< tI32 >	sRecti
	Int Rect. More...
typedef sRect< tF32 >	sRectf
	Float Rect. More...
typedef astl::vector< sVec2f >	tVec2fVec
typedef tVec2fVec::iterator	tVec2fVecIt
typedef tVec2fVec::const_iterator	tVec2fVecCIt
typedef astl::vector< sVec2i >	tVec2iVec
typedef tVec2iVec::iterator	tVec2iVecIt
typedef tVec2iVec::const_iterator	tVec2iVecCIt
typedef astl::vector< sVec3f >	tVec3fVec
typedef tVec3fVec::iterator	tVec3fVecIt
typedef tVec3fVec::const_iterator	tVec3fVecCIt
typedef astl::vector< sVec4f >	tVec4fVec
typedef tVec4fVec::iterator	tVec4fVecIt
typedef tVec4fVec::const_iterator	tVec4fVecCIt
typedef astl::vector< sPlanef >	tPlanefVec
typedef tPlanefVec::iterator	tPlanefVecIt
typedef tPlanefVec::const_iterator	tPlanefVecCIt
typedef astl::vector< sMatrixf >	tMatrixfVec
	sMatrixf vector. More...
typedef tMatrixfVec::iterator	tMatrixfVecIt
	sMatrixf vector iterator. More...
typedef tMatrixfVec::const_iterator	tMatrixfVecCIt
	sMatrixf vector constant iterator. More...
typedef tMatrixfVec::reverse_iterator	tMatrixfVecRIt
	sMatrixf vector reverse iterator. More...
typedef tMatrixfVec::const_reverse_iterator	tMatrixfVecCRIt
	sMatrixf vector constant reverse iterator. More...
typedef sMatrix< tF64 >	sMatrixd
	tF64 matrix. More...
typedef astl::vector< sMatrixd >	tMatrixdVec
	sMatrixd vector. More...
typedef tMatrixdVec::iterator	tMatrixdVecIt
	sMatrixd vector iterator. More...
typedef tMatrixdVec::const_iterator	tMatrixdVecCIt
	sMatrixd vector constant iterator. More...
typedef tMatrixdVec::reverse_iterator	tMatrixdVecRIt
	sMatrixd vector reverse iterator. More...
typedef tMatrixdVec::const_reverse_iterator	tMatrixdVecCRIt
	sMatrixd vector constant reverse iterator. More...
typedef XMatrix< 2, 2, tI32 >	XMatrix22l
typedef XMatrix< 2, 3, tI32 >	XMatrix23l
typedef XMatrix< 3, 3, tI32 >	XMatrix33l
typedef XMatrix< 4, 4, tI32 >	XMatrix44l
typedef XMatrix< 2, 1, tI32 >	XVec2l
typedef XMatrix< 3, 1, tI32 >	XVec3l
typedef XMatrix< 4, 1, tI32 >	XVec4l
typedef XMatrix< 2, 2, tF32 >	XMatrix22f
typedef XMatrix< 2, 3, tF32 >	XMatrix23f
typedef XMatrix< 3, 3, tF32 >	XMatrix33f
typedef XMatrix< 4, 4, tF32 >	XMatrix44f
typedef XMatrix< 2, 1, tF32 >	XVec2f
typedef XMatrix< 3, 1, tF32 >	XVec3f
typedef XMatrix< 4, 1, tF32 >	XVec4f
typedef XMatrix< 2, 2, tF64 >	XMatrix22d
typedef XMatrix< 2, 3, tF64 >	XMatrix23d
typedef XMatrix< 3, 3, tF64 >	XMatrix33d
typedef XMatrix< 4, 4, tF64 >	XMatrix44d
typedef XMatrix< 2, 1, tF64 >	XVec2d
typedef XMatrix< 3, 1, tF64 >	XVec3d
typedef XMatrix< 4, 1, tF64 >	XVec4d

Enumerations
enum	eFPUPrecision {   eFPUPrecision_24,   eFPUPrecision_53,   eFPUPrecision_64,   eFPUPrecision_Mask,   eFPUPrecision_Lowest,   eFPUPrecision_Highest,   eFPUPrecision_ForceDWORD }
	FPU precision. More...
enum	eFPURounding {   eFPURounding_Near,   eFPURounding_Down,   eFPURounding_Up,   eFPURounding_Truncate,   eFPURounding_Mask,   eFPURounding_ForceDWORD }
	FPU rounding. More...

Functions
template<typename T >
Complex< T >	cx (T re, T im=T(0))
template<typename T >
Complex< T >	cx (const ni::sVec2< T > &c)
template<typename T >
Complex< T >	re (T v)
template<typename T >
Complex< T >	im (T v)
template<typename T >
T	re (const Complex< T > &v)
template<typename T >
T	im (const Complex< T > &v)
template<>
Complex< tF32 >	Num< Complex< tF32 > > (const tF64 a)
template<>
Complex< tF64 >	Num< Complex< tF64 > > (const tF64 a)
template<typename T >
bool	operator== (T v, const Complex< T > &c)
template<typename T >
bool	operator!= (T v, const Complex< T > &c)
template<typename T >
Complex< T >	Polar (T rho, T phi)
template<typename T >
Complex< T >	Conjugate (const Complex< T > &c)
template<typename T >
T	Modulus (const Complex< T > &c)
template<typename T >
T	ModulusSq (const Complex< T > &c)
template<typename T >
T	Argument (const Complex< T > &c)
template<typename T >
Complex< T >	Sqrt (const Complex< T > &c)
template<typename T >
Complex< T >	Exp (const Complex< T > &c)
template<typename T >
Complex< T >	Log10 (const Complex< T > &c)
template<typename T >
Complex< T >	LogE (const Complex< T > &c)
template<typename T >
Complex< T >	Pow (const Complex< T > &c, const Complex< T > &b)
template<typename T >
Complex< T >	Sin (const Complex< T > &c)
template<typename T >
Complex< T >	Cos (const Complex< T > &c)
template<typename T >
Complex< T >	Tan (const Complex< T > &c)
Complexf	ref (tF32 v)
Complexf	imf (tF32 v)
template<typename T >
T	ClampT (T aX, T aMin, T aMax)
template<typename T >
T	RepeatT (T aX, T aMin, T aMax)
template<typename T >
T	MirrorT (T aX, T aMin, T aMax)
template<typename T >
T	CycleT (T aX, T aMin, T aMax)
template<typename T , typename S >
T	CurveStep (const T &a, const T &b, const S t)
template<class T , class S >
T	CurveLinear (const T &V1, const T &V2, S s)
template<typename T , typename S >
T	CurveCos (const T &a, const T &b, const S t)
template<class T , class S >
T	CurveHermite (const T &V1, const T &T1, const T &V2, const T &T2, S s)
template<class T , class S >
T	CurveCatmullRom (const T &V1, const T &V2, const T &V3, const T &V4, S s)
template<class T , class S >
T	CurveCardinal (const T &V1, const T &V2, const T &V3, const T &V4, S s, S a)
template<class T , class S >
T	CurveCardinal (const T &V1, const T &V2, S s, S a)
template<typename T >
T	CycleLinear (T aX, T aMin, T aMax)
template<typename T >
T	CycleCos (T aX, T aMin, T aMax)
template<typename T >
T	CycleCardinal (T aX, T aMin, T aMax, const T a)
template<typename T >
sDecomposedMatrix< T > &	DecomposedMatrixFromMatrix (sDecomposedMatrix< T > &Out, const sMatrix< T > &In)
template<typename T >
sMatrix< T > &	DecomposedMatrixToMatrix (sMatrix< T > &Out, const sDecomposedMatrix< T > &In)
template<typename T >
sDecomposedMatrix< T > &	DecomposedMatrixLerp (sDecomposedMatrix< T > &Out, const sDecomposedMatrix< T > &A, const sDecomposedMatrix< T > &B, T fac, eQuatSlerp aSlerp=eQuatSlerp_Short)
template<typename T >
sDecomposedMatrix< T > &	DecomposedMatrixMultiply (sDecomposedMatrix< T > &Out, const sDecomposedMatrix< T > &A, const sDecomposedMatrix< T > &B)
template<class T >
void	MathUtilMatrixFromQuat (T &r11, T &r12, T &r13, T &r21, T &r22, T &r23, T &r31, T &r32, T &r33, const sQuat< T > &q)
template<class T >
void	MathUtilPostTranslate (sMatrix< T > &m, const T tx, const T ty, const T tz)
template<class T >
void	MathUtilPostRotateQuat (sMatrix< T > &m, const sQuat< T > &q)
template<class T >
void	MathUtilPostRotateQuatInverse (sMatrix< T > &m, const sQuat< T > &q)
template<class T >
void	MathUtilPostScale (sMatrix< T > &m, const T sx, const T sy, const T sz)
template<typename T >
sMatrix< T > &	MatrixAffineTransformation (sMatrix< T > &Out, T scaling, const sVec3< T > *pRotationCenter=NULL, const sQuat< T > *pRotation=NULL, const sVec3< T > *pTranslation=NULL)
template<typename T >
T	MatrixDeterminant2 (const sMatrix< T > &M)
template<typename T >
T	MatrixDeterminant3 (const sMatrix< T > &M)
template<typename T >
T	MatrixDeterminant (const sMatrix< T > &M)
template<typename T >
T	MatrixGetHandeness (const sMatrix< T > &M)
template<typename T >
sMatrix< T > &	MatrixIdentity (sMatrix< T > &Out)
template<typename T >
sMatrix< T > &	MatrixInverse (sMatrix< T > &aOut, const sMatrix< T > &aIn, T *apDet=NULL)
template<typename T >
sMatrix< T > &	MatrixTransformInverse (sMatrix< T > &Out, const sMatrix< T > &M)
template<typename T >
tBool	MatrixIsIdentity (const sMatrix< T > &M)
template<typename T >
sMatrix< T > &	MatrixLookAtRH (sMatrix< T > &Out, const sVec3< T > &Eye, const sVec3< T > &At, const sVec3< T > &Up)
template<typename T >
sMatrix< T > &	MatrixLookAtLH (sMatrix< T > &Out, const sVec3< T > &Eye, const sVec3< T > &At, const sVec3< T > &Up)
template<typename T >
sMatrix< T > &	MatrixMultiply (sMatrix< T > &Out, const sMatrix< T > &M1, const sMatrix< T > &M2)
template<typename T >
sMatrix< T > *	MatrixMultiply (sMatrix< T > *Out, const sMatrix< T > *M1, const sMatrix< T > *M2)
template<typename T >
sMatrix< T > &	MatrixOrthoRH (sMatrix< T > &Out, T w, T h, T zn, T zf)
template<typename T >
sMatrix< T > &	MatrixOrthoLH (sMatrix< T > &Out, T w, T h, T zn, T zf)
template<typename T >
sMatrix< T > &	MatrixOrthoOffCenterRH (sMatrix< T > &Out, T l, T r, T t, T b, T zn, T zf)
template<typename T >
sMatrix< T > &	MatrixOrthoOffCenterLH (sMatrix< T > &Out, T l, T r, T t, T b, T zn, T zf)
template<typename T >
sMatrix< T > &	MatrixPerspectiveRH (sMatrix< T > &Out, T w, T h, T zn, T zf)
template<typename T >
sMatrix< T > &	MatrixPerspectiveLH (sMatrix< T > &Out, T w, T h, T zn, T zf)
template<typename T >
sMatrix< T > &	MatrixPerspectiveFovRH (sMatrix< T > &Out, T fovy, T aspect, T zn, T zf)
template<typename T >
sMatrix< T > &	MatrixPerspectiveFovLH (sMatrix< T > &Out, T fovy, T aspect, T zn, T zf)
template<typename T >
sMatrix< T > &	MatrixPerspectiveOffCenterRH (sMatrix< T > &Out, T l, T r, T t, T b, T zn, T zf)
template<typename T >
sMatrix< T > &	MatrixPerspectiveOffCenterLH (sMatrix< T > &Out, T l, T r, T t, T b, T zn, T zf)
template<typename T >
sMatrix< T > &	MatrixReflect (sMatrix< T > &Out, const sVec4< T > &Plane)
template<typename T >
ni::sMatrix< T > &	MatrixRotationAxis (ni::sMatrix< T > &Out, const ni::sVec3< T > &V, T angle)
template<typename T >
sMatrix< T > &	MatrixRotationQuat (sMatrix< T > &Out, const sQuat< T > &Q)
template<typename T >
sMatrix< T > &	MatrixRotationX (sMatrix< T > &Out, T angle)
template<typename T >
sMatrix< T > &	MatrixRotationY (sMatrix< T > &Out, T angle)
template<typename T >
sMatrix< T > &	MatrixRotationZ (sMatrix< T > &Out, T angle)
template<typename T >
sMatrix< T > &	MatrixRotationYawPitchRoll (sMatrix< T > &Out, T yaw, T pitch, T roll)
template<typename T >
sVec3< T >	MatrixDecomposeYawPitchRoll (const sMatrix< T > &mat)
template<typename T >
sMatrix< T > &	MatrixScaling (sMatrix< T > &Out, T sx, T sy, T sz)
template<typename T >
sMatrix< T > &	MatrixScaling (sMatrix< T > &Out, const sVec3< T > &V)
template<typename T >
sMatrix< T > &	MatrixScale (sMatrix< T > &Out, const sMatrix< T > &M, const T x, const T y, const T z)
template<typename T >
sMatrix< T > &	MatrixScale (sMatrix< T > &Out, const sMatrix< T > &M, const sVec3< T > &V)
template<typename T >
sMatrix< T > &	MatrixScale (sMatrix< T > &Out, const sMatrix< T > &M, const T s)
template<typename T >
sMatrix< T > &	MatrixShadow (sMatrix< T > &Out, const sVec4< T > &vLight, const sVec4< T > &Plane)
template<typename T >
sMatrix< T > &	MatrixTransformation (sMatrix< T > &Out, const sVec3< T > *pScalingCenter, const sQuat< T > *pScalingRotation, const sVec3< T > *pScaling, const sVec3< T > *pRotationCenter, const sQuat< T > *pRotation, const sVec3< T > *pTranslation)
template<typename T >
sMatrix< T > &	MatrixTranslation (sMatrix< T > &Out, T x, T y, T z)
template<typename T >
sMatrix< T > &	MatrixTranslation (sMatrix< T > &Out, const sVec3< T > &V)
template<typename T >
sMatrix< T > &	MatrixTranspose (sMatrix< T > &Out, const sMatrix< T > &M)
template<typename T >
sMatrix< T > &	MatrixTranspose3x3 (sMatrix< T > &Out, const sMatrix< T > &M)
template<typename T >
sMatrix< T > &	MatrixTextureOffset2 (sMatrix< T > &Out, T fBias, tI32 nTexW, tI32 nTexH, tI32 nDepthBits)
template<typename T >
sMatrix< T > &	MatrixTextureOffset (sMatrix< T > &Out, T fBias, tI32 nTexW, tI32 nTexH)
template<typename T >
sMatrix< T > &	MatrixLerp (sMatrix< T > &Out, const sMatrix< T > &A, const sMatrix< T > &B, T fFac)
template<typename T >
sVec3< T > &	MatrixGetForward (sVec3< T > &Out, const sMatrix< T > &M)
template<typename T >
sVec3< T > &	MatrixGetUp (sVec3< T > &Out, const sMatrix< T > &M)
template<typename T >
sVec3< T > &	MatrixGetRight (sVec3< T > &Out, const sMatrix< T > &M)
template<typename T >
sVec3< T > &	MatrixGetTranslation (sVec3< T > &Out, const sMatrix< T > &M)
template<typename T >
sMatrix< T > &	MatrixSetForward (sMatrix< T > &Out, const sVec3< T > &V)
template<typename T >
sMatrix< T > &	MatrixSetUp (sMatrix< T > &Out, const sVec3< T > &V)
template<typename T >
sMatrix< T > &	MatrixSetRight (sMatrix< T > &Out, const sVec3< T > &V)
template<typename T >
sMatrix< T > &	MatrixSetTranslation (sMatrix< T > &Out, const sVec3< T > &V)
template<typename T >
tBool	MatrixIsNormal (const sMatrix< T > &M, T epsilon=niEpsilon5)
template<typename T >
tBool	MatrixIsOrthogonal (const sMatrix< T > &M, T epsilon=niEpsilon5)
template<typename T >
tBool	MatrixIsOrthoNormal (const sMatrix< T > &M, T epsilon=niEpsilon5)
template<typename T >
sMatrix< T > &	MatrixSetRotation (sMatrix< T > &Out, const sMatrix< T > &M)
template<typename T >
sVec3< T > &	MatrixToEuler (const sMatrix< T > &M, sVec3< T > &euler)
template<typename T >
sMatrix< T > &	MatrixToCoordinateSystem (sMatrix< T > &Out, const sVec3< T > &avRight, const sVec3< T > &avUp, const sVec3< T > &avFwd, const sVec3< T > &avOrg=sVec3< T >::Zero())
template<typename T >
sMatrix< T > *	MatrixOrthogonalize (sMatrix< T > &Out, const sMatrix< T > &In, const T epsilon=(T) niEpsilon5)
template<typename T >
sMatrix< T > &	MatrixNormalize (sMatrix< T > &Out, const sMatrix< T > &In)
template<typename T >
sMatrix< T > &	MatrixSetScale (sMatrix< T > &Out, const sMatrix< T > &In, const sVec3f &avScale)
template<typename T >
sVec3< T > &	MatrixGetProjectedTranslation (sVec3< T > &Out, const sMatrix< T > &M, T *pDeterminant=NULL)
template<typename T >
sMatrix< T > &	MatrixSetProjectedTranslation (sMatrix< T > &Out, const sVec3< T > &avT)
template<typename T >
sMatrix< T > &	MatrixSetNotRotation (sMatrix< T > &Out, const sMatrix< T > &M)
template<typename T >
sMatrix< T > &	MatrixRotate (sMatrix< T > &Out, const sMatrix< T > &M1, const sMatrix< T > &M2)
template<typename T >
sMatrix< T >	MatrixRotationPivot (sMatrix< T > &aOut, const sMatrix< T > &aM2, const sVec3< T > &avPivot)
template<typename T >
sMatrix< T >	MatrixRotationPivotAndScale (sMatrix< T > &aOut, const sMatrix< T > &aM2, const sVec3< T > &avPivot, const sVec3< T > &avScale)
template<typename T >
sMatrix< T > &	MatrixScalingH (sMatrix< T > &Out, T sx, T sy, T sz, T sh)
template<typename T >
sMatrix< T > &	MatrixScalingH (sMatrix< T > &Out, const sVec4< T > &aR)
template<typename T >
sMatrix< T > &	MatrixRotationXYZ (sMatrix< T > &Out, T x, T y, T z)
template<typename T >
sMatrix< T > &	MatrixRotationXYZ (sMatrix< T > &Out, const sVec3< T > &aR)
template<typename T >
sMatrix< T > &	MatrixRotationZYX (sMatrix< T > &Out, T x, T y, T z)
template<typename T >
sMatrix< T > &	MatrixRotationZYX (sMatrix< T > &Out, const sVec3< T > &aR)
template<typename T >
sVec3< T > &	MatrixGetLocalScale (sVec3< T > &aS, const sMatrix< T > &In)
template<typename T >
sVec3< T > &	MatrixGetLocalScaleSq (sVec3< T > &aS, const sMatrix< T > &In)
template<typename T >
void	MatrixDecompose (const sMatrix< T > &In, sVec3< T > &aT, sVec3< T > &aR, sVec4< T > &aS, const T aEps=(T) niEpsilon4)
template<typename T >
void	MatrixDecomposeQ (const sMatrix< T > &In, sVec3< T > &aT, sQuat< T > &aR, sVec4< T > &aS, const T aEps=(T) niEpsilon5)
template<typename T >
sMatrix< T > &	MatrixCompose (sMatrix< T > &Out, const sVec3< T > &aT, const sVec3< T > &aR, const sVec4< T > &aS)
template<typename T >
sMatrix< T > &	MatrixComposeQ (sMatrix< T > &Out, const sVec3< T > &aT, const sQuat< T > &aR, const sVec4< T > &aS)
template<typename T >
sMatrix< T > &	MatrixViewport (sMatrix< T > &Out, const sVec4< T > &aVP, const T aMinZ, const T aMaxZ)
template<typename T >
const sMatrix< T > &	MatrixAdjustViewport (sMatrix< T > &Out, const sVec4< T > &aContextVP, const sVec4< T > &aVirtualVP, const T afMinZ, const T afMaxZ)
template<typename T >
T	MatrixGetFovV (const sMatrix< T > &aMtx)
template<typename T >
sVec3< T > &	MatrixDecomposeGetZYX (sVec3< T > &aR, const sMatrix< T > &In, const T aEps=(T) niEpsilon4)
template<typename T >
sQuat< T > &	MatrixDecomposeGetQ (sQuat< T > &aR, const sMatrix< T > &In, const T aEps=(T) niEpsilon4)
template<typename T >
sVec4< T > &	MatrixDecomposeGetScale (sVec4< T > &aS, const sMatrix< T > &In, const T aEps=(T) niEpsilon4)
template<typename T >
sVec3< T > &	MatrixDecomposeGetTranslation (sVec3< T > &aT, const sMatrix< T > &In)
template<typename T >
sMatrix< T >	MatrixFlipProjectionY (const sMatrix< T > &aMatrix)
template<typename T >
sMatrix< T >	MatrixProjection2D (const T afOrthoProjectionOffset, const sRect< T > &aRect, const T afVerticalFov, const sVec2< T > &aCameraPos=sVec2< T >::Zero())
	Compute a projection matrix to do pixel perfect 2d rendering. More...
template<class T >
T	PlaneDot (const sVec4< T > &P, const sVec4< T > &V)
template<class T >
T	PlaneDotCoord (const sVec4< T > &P, const sVec3< T > &V)
template<class T >
T	PlaneDistance (const sVec4< T > &P, const sVec3< T > &V)
template<class T >
T	PlaneDotNormal (const sVec4< T > &P, const sVec3< T > &V)
template<class T >
sVec4< T > &	PlaneFromPointNormal (sVec4< T > &Out, const sVec3< T > &vPoint, const sVec3< T > &vNormal)
template<class T >
sVec4< T > &	PlaneFromPoints (sVec4< T > &Out, const sVec3< T > &V1, const sVec3< T > &V2, const sVec3< T > &V3)
template<class T >
sVec3< T > *	PlaneIntersectLine (const sVec4< T > &P, const sVec3< T > &V1, const sVec3< T > &V2, sVec3< T > *pOut=NULL, T *percent=NULL)
template<typename T >
sVec3< T > *	PlaneIntersectRay (const sVec4< T > &P, const sVec3< T > &avRayPos, const sVec3< T > &avRayDir, sVec3< T > *pOut=NULL, T *dist=NULL)
template<class T >
sVec4< T > *	PlaneNormalize (sVec4< T > &Out, const sVec4< T > &P)
template<class T >
sVec4< T > *	PlaneNormalize (sVec4< T > &Out)
template<class T >
sVec4< T > &	PlaneTransform (sVec4< T > &Out, const sVec4< T > &P, const sMatrix< T > &M)
template<class T >
sVec4< T > &	PlaneTransformInversedMatrix (sVec4< T > &Out, const sVec4< T > &P, const sMatrix< T > &M)
template<class T >
sVec3< T > *	PlaneIntersection (sVec3< T > &Out, const sVec4< T > &PA, const sVec4< T > &PB, const sVec4< T > &PC)
template<class T >
sVec3< T > &	PlaneClosest (sVec3< T > &Out, const sVec4< T > &P, const sVec3< T > &A)
template<class T >
ePlaneType	PlaneType (const sVec4< T > &Plane)
template<class T >
ePlaneType	PlaneMaxType (const sVec4< T > &Plane)
template<class T >
sMatrix< T > &	PlaneExtractCoordinateSystem (sMatrix< T > &Out, const sVec4< T > &Plane, tBool abTranspose, const sVec3< T > *apFwdDir, const sVec3< T > *apOrigin)
	The output matrix will contain the coordinate system that corespond to the plane. Up vector is the plane normal. Right and Fwd lies on the plane. If not NULL apFwdDir is the direction toward which the forward vector should be the closest. By example if you want the forward vector to be the one that points down you'd pass sVec3f::OpYAxis() here. More...
template<class T >
tBool	PlaneIntersectSphere (const sVec4< T > &plane, const sVec3< T > &pos, T radius)
template<class T >
sQuat< T > &	QuatBaryCentric (sQuat< T > &Out, const sQuat< T > &Q1, const sQuat< T > &Q2, const sQuat< T > &Q3, T f, T g)
template<class T >
sQuat< T > &	QuatConjugate (sQuat< T > &Out, const sQuat< T > &Q)
template<class T >
T	QuatDot (const sQuat< T > &Q1, const sQuat< T > &Q2)
template<class T >
sQuat< T > &	QuatExp (sQuat< T > &Out, const sQuat< T > &Q)
template<class T >
sQuat< T > &	QuatIdentity (sQuat< T > &Out)
template<class T >
sQuat< T > &	QuatInverse (sQuat< T > &Out, const sQuat< T > &Q)
template<class T >
tBool	QuatIsIdentity (const sQuat< T > &Q)
template<class T >
T	QuatLength (const sQuat< T > &Q)
template<class T >
T	QuatLengthSq (const sQuat< T > &Q)
template<class T >
sQuat< T > &	QuatLn (sQuat< T > &Out, const sQuat< T > &Q)
template<class T >
sQuat< T > &	QuatMultiply (sQuat< T > &Out, const sQuat< T > &Q1, const sQuat< T > &Q2)
template<class T >
sQuat< T > &	QuatNormalize (sQuat< T > &Out, const sQuat< T > &Q)
template<class T >
sQuat< T > &	QuatNormalize (sQuat< T > &Out)
template<class T >
sQuat< T > &	QuatRotationAxis (sQuat< T > &Out, const sVec3< T > &V, T angle)
template<class T >
sQuat< T > &	QuatRotateX (sQuat< T > &Out, const sQuat< T > &Src, T angle)
template<class T >
sQuat< T > &	QuatRotateY (sQuat< T > &Out, const sQuat< T > &Src, T angle)
template<class T >
sQuat< T > &	QuatRotateZ (sQuat< T > &Out, const sQuat< T > &Src, T angle)
template<class T >
sQuat< T > &	QuatRotationX (sQuat< T > &Out, T angle)
template<class T >
sQuat< T > &	QuatRotationY (sQuat< T > &Out, T angle)
template<class T >
sQuat< T > &	QuatRotationZ (sQuat< T > &Out, T angle)
template<class T >
sQuat< T > &	QuatRotationMatrix (sQuat< T > &Out, const sMatrix< T > &M)
template<class T >
sQuat< T > &	QuatRotationYawPitchRoll (sQuat< T > &Out, const T yaw, const T pitch, const T roll)
template<class T >
sQuat< T > &	QuatRotationVector (sQuat< T > &Out, const sVec3< T > &vFrom, const sVec3< T > &vTo)
template<class T >
sQuat< T > &	QuatSlerp (sQuat< T > &Out, const sQuat< T > &Q1, const sQuat< T > &Q2, T t, eQuatSlerp mode=eQuatSlerp_Short)
template<class T >
sQuat< T > &	QuatSquad (sQuat< T > &Out, const sQuat< T > &Q1, const sQuat< T > &Q2, const sQuat< T > &Q3, const sQuat< T > &Q4, T t)
template<class T >
sVec3< T > &	QuatGetAxis (sVec3< T > &vAxis, const sQuat< T > &Q)
template<class T >
T	QuatGetAngle (const sQuat< T > &Q)
template<class T >
void	QuatToAxisAngle (const sQuat< T > &Q, sVec3< T > &vAxis, T &Angle)
template<class T >
sVec3< T > &	QuatToEuler (const sQuat< T > &Q, sVec3< T > &euler)
template<typename T >
sQuat< T > &	QuatRandom (sQuat< T > &aQ)
template<class T >
sQuat< T > &	QuatRotationZYX (sQuat< T > &Out, T rx, T ry, T rz)
template<class T >
sQuat< T > &	QuatRotationZYX (sQuat< T > &Out, const sVec3< T > &V)
template<class T >
sQuat< T > &	QuatRotationXYZ (sQuat< T > &Out, T rx, T ry, T rz)
template<class T >
sQuat< T > &	QuatRotationXYZ (sQuat< T > &Out, const sVec3< T > &V)
template<typename T >
sVec2< T > &	VecClamp (sVec2< T > &Out, const sVec2< T > &V, const sVec2< T > &aMin=sVec2< T >::Zero(), const sVec2< T > &aMax=sVec2< T >::One())
template<class T >
sVec2< T > &	VecAdd (sVec2< T > &Out, const sVec2< T > &V1, const sVec2< T > &V2)
template<class T >
sVec2< T > &	VecMul (sVec2< T > &Out, const sVec2< T > &V1, const sVec2< T > &V2)
template<class T >
sVec2< T > &	VecDiv (sVec2< T > &Out, const sVec2< T > &V1, const sVec2< T > &V2)
template<class T >
sVec2< T > &	VecMAD (sVec2< T > &Out, const sVec2< T > &A, const sVec2< T > &B, const sVec2< T > &C)
template<class T >
sVec2< T > &	VecMAD (sVec2< T > &Out, const sVec2< T > &A, T scale, const sVec2< T > &B)
template<class T >
sVec2< T > &	VecMAD (sVec2< T > &Out, const sVec2< T > &A, T scale, T add)
template<class T >
sVec2< T > &	VecSub (sVec2< T > &Out, const sVec2< T > &V1, const sVec2< T > &V2)
template<class T >
sVec2< T > &	VecBaryCentric (sVec2< T > &Out, const sVec2< T > &V1, const sVec2< T > &V2, const sVec2< T > &V3, T f, T g)
template<class T >
sVec2< T > &	VecCatmullRom (sVec2< T > &Out, const sVec2< T > &V1, const sVec2< T > &V2, const sVec2< T > &V3, const sVec2< T > &V4, T s)
template<class T >
T	VecCCW (const sVec2< T > &V1, const sVec2< T > &V2)
template<class T >
T	VecDot (const sVec2< T > &V1, const sVec2< T > &V2)
template<class T >
T	VecDot (const sVec2< T > *V1, const sVec2< T > *V2)
template<class T >
sVec2< T > &	VecHermite (sVec2< T > &Out, const sVec2< T > &V1, const sVec2< T > &T1, const sVec2< T > &V2, const sVec2< T > &T2, T s)
template<class T >
T	VecLength (const sVec2< T > &V)
template<class T >
T	VecDistance (const sVec2< T > &A, const sVec2< T > &B)
template<class T >
sVec2< T > &	VecSetLength (sVec2< T > &Out, const sVec2< T > &V, T l)
template<class T >
T	VecLengthSq (const sVec2< T > &V)
template<class T >
sVec2< T > &	VecMaximize (sVec2< T > &Out, const sVec2< T > &V1, const sVec2< T > &V2)
template<class T >
sVec2< T > &	VecMinimize (sVec2< T > &Out, const sVec2< T > &V1, const sVec2< T > &V2)
template<class T >
sVec2< T > &	VecNormalize (sVec2< T > &Out, const sVec2< T > &V)
template<class T >
sVec2< T > *	VecNormalize (sVec2< T > *Out, const sVec2< T > *V)
template<class T >
sVec2< T > &	VecNormalize (sVec2< T > &Out)
template<class T >
sVec2< T > &	VecScale (sVec2< T > &Out, const sVec2< T > &V, T s)
template<class T >
sVec4< T > &	VecTransform (sVec4< T > &Out, const sVec2< T > &V, const sMatrix< T > &M)
template<class T >
sVec4< T > *	VecTransform (sVec4< T > *Out, const sVec2< T > *V, const sMatrix< T > *M)
template<class T >
sVec2< T > &	VecTransformCoord (sVec2< T > &Out, const sVec2< T > &V, const sMatrix< T > &M)
template<class T >
sVec2< T > *	VecTransformCoord (sVec2< T > *Out, const sVec2< T > *V, const sMatrix< T > *M)
template<class T >
sVec2< T > &	VecTransformNormal (sVec2< T > &Out, const sVec2< T > &V, const sMatrix< T > &M)
template<class T >
sVec2< T > *	VecTransformNormal (sVec2< T > *Out, const sVec2< T > *V, const sMatrix< T > *M)
template<class T >
sVec2< T > &	VecAbs (sVec2< T > &Out, const sVec2< T > &V)
template<class T >
sVec2< T > &	VecLerp (sVec2< T > &Out, const sVec2< T > &V1, const sVec2< T > &V2, T fac)
template<class T >
sVec2< T > &	VecLerp (sVec2< T > &Out, const sVec2< T > &V1, const sVec2< T > &V2, const sVec2< T > &V3)
template<class T >
tBool	VecIsNormal (const sVec2< T > &v, T epsilon=niEpsilon5)
template<class T >
sVec2< T > &	VecInverse (sVec2< T > &Out, const sVec2< T > &V)
template<class T >
tBool	VecEqual (const sVec2< T > &A, const sVec2< T > &B, T epsilon=niEpsilon5)
template<class T >
int	VecMaxAxis (const sVec2< T > &V)
template<typename T >
sVec3< T > &	VecClamp (sVec3< T > &Out, const sVec3< T > &V, const sVec3< T > &aMin=sVec3< T >::Zero(), const sVec3< T > &aMax=sVec3< T >::One())
template<class T >
sVec3< T > &	VecAdd (sVec3< T > &Out, const sVec3< T > &V1, const sVec3< T > &V2)
template<class T >
sVec3< T > &	VecSub (sVec3< T > &Out, const sVec3< T > &V1, const sVec3< T > &V2)
template<class T >
sVec3< T > &	VecMul (sVec3< T > &Out, const sVec3< T > &V1, const sVec3< T > &V2)
template<class T >
sVec3< T > &	VecDiv (sVec3< T > &Out, const sVec3< T > &V1, const sVec3< T > &V2)
template<class T >
sVec3< T > &	VecMAD (sVec3< T > &Out, const sVec3< T > &A, const sVec3< T > &B, const sVec3< T > &C)
template<class T >
sVec3< T > &	VecMAD (sVec3< T > &Out, const sVec3< T > &A, const T scale, const sVec3< T > &B)
template<class T >
sVec3< T > &	VecBaryCentric (sVec3< T > &Out, const sVec3< T > &V1, const sVec3< T > &V2, const sVec3< T > &V3, T f, T g)
template<class T >
sVec3< T > &	VecCatmullRom (sVec3< T > &Out, const sVec3< T > &V1, const sVec3< T > &V2, const sVec3< T > &V3, const sVec3< T > &V4, T s)
template<class T >
sVec3< T > &	VecCross (sVec3< T > &Out, const sVec3< T > &V1, const sVec3< T > &V2)
template<class T >
sVec3< T > *	VecCross (sVec3< T > *Out, const sVec3< T > *V1, const sVec3< T > *V2)
template<class T >
T	VecDot (const sVec3< T > &V1, const sVec3< T > &V2)
template<class T >
T	VecDot (const sVec3< T > *V1, const sVec3< T > *V2)
template<class T >
sVec3< T > &	VecHermite (sVec3< T > &Out, const sVec3< T > &V1, const sVec3< T > &T1, const sVec3< T > &V2, const sVec3< T > &T2, T s)
template<class T >
T	VecLength (const sVec3< T > &V)
template<class T >
T	VecDistance (const sVec3< T > &A, const sVec3< T > &B)
template<class T >
sVec3< T > &	VecSetLength (sVec3< T > &Out, const sVec3< T > &V, T l)
template<class T >
T	VecLengthSq (const sVec3< T > &V)
template<class T >
sVec3< T > &	VecMaximize (sVec3< T > &Out, const sVec3< T > &V1, const sVec3< T > &V2)
template<class T >
sVec3< T > &	VecMinimize (sVec3< T > &Out, const sVec3< T > &V1, const sVec3< T > &V2)
template<class T >
sVec3< T > &	VecNormalize (sVec3< T > &Out, const sVec3< T > &V)
template<class T >
sVec3< T > *	VecNormalize (sVec3< T > *Out, const sVec3< T > *V)
template<class T >
sVec3< T > &	VecNormalize (sVec3< T > &Out)
template<class T >
sVec3< T > &	VecScale (sVec3< T > &Out, const sVec3< T > &V, T s)
template<class T >
sVec4< T > &	VecTransform (sVec4< T > &Out, const sVec3< T > &V, const sMatrix< T > &M)
template<class T >
sVec4< T > *	VecTransform (sVec4< T > *Out, const sVec3< T > *V, const sMatrix< T > *M)
template<class T >
sVec3< T > &	VecTransformCoord (sVec3< T > &Out, const sVec3< T > &V, const sMatrix< T > &M)
template<class T >
sVec3< T > *	VecTransformCoord (sVec3< T > *Out, const sVec3< T > *V, const sMatrix< T > *M)
template<class T >
sVec3< T > &	VecTransformNormal (sVec3< T > &Out, const sVec3< T > &V, const sMatrix< T > &M)
template<class T >
sVec3< T > *	VecTransformNormal (sVec3< T > *Out, const sVec3< T > *V, const sMatrix< T > *M)
template<class T >
sVec3< T > &	VecAbs (sVec3< T > &Out, const sVec3< T > &V)
template<class T >
sVec3< T > &	VecLerp (sVec3< T > &Out, const sVec3< T > &V1, const sVec3< T > &V2, T fac)
template<class T >
sVec3< T > &	VecLerp (sVec3< T > &Out, const sVec3< T > &V1, const sVec3< T > &V2, const sVec3< T > &V3)
template<class T >
tBool	VecIsNormal (const sVec3< T > &v, T epsilon=niEpsilon5)
template<class T >
sVec3< T > &	VecInverse (sVec3< T > &Out, const sVec3< T > &V)
template<typename T >
sVec3< T > &	VecToViewport (sVec3< T > &aOut, const ni::sVec3< T > &avProjected, const ni::sRect< T > &aRect)
template<typename T >
sVec3< T > &	VecProject (sVec3< T > &aOut, const ni::sVec3< T > &avPos, const ni::sMatrix< T > &amtxWVP, const ni::sRect< T > &aRect)
template<typename T >
sVec4< T > &	VecProjectRHW (sVec4< T > &aOut, const ni::sVec3< T > &avPos, const ni::sMatrix< T > &mtxWVP, const ni::sRect< T > &aRect)
template<class T >
sVec3< T > &	VecUnproject (sVec3< T > &avOut, const sVec3< T > &avIn, T afVPX, T afVPY, T afVPW, T afVPH, const sMatrix< T > &amtxViewProj)
template<class T >
tBool	VecEqual (const sVec3< T > &A, const sVec3< T > &B, T epsilon=niEpsilon5)
template<class T >
sVec3< T > &	VecReflect (sVec3< T > &Out, const sVec3< T > &Dir, const sVec3< T > &Normal)
template<typename T >
T	VecAngle (const sVec3< T > &v1, const sVec3< T > &v2)
template<class T >
int	VecMaxAxis (const sVec3< T > &V)
template<typename T >
ni::sVec3< T >	GetScreenPosition (const ni::sVec3< T > &avPos, const sMatrix< T > &mtxVP, const ni::sRect< T > &aRect)
template<class T >
void	ComputeTangentSpace (const sVec3< T > &PA, const sVec2< T > &TA, const sVec3< T > &PB, const sVec2< T > &TB, const sVec3< T > &PC, const sVec2< T > &TC, sVec3< T > &vTangent0, sVec3< T > &vTangent1)
	Compute texture space of a triangle. More...
template<typename T >
T	ComputePixelScaleX (const sVec3< T > &pos, const sMatrix< T > &worldView, const sMatrix< T > &proj, const ni::sRect< T > &aRect)
template<typename T >
T	ComputePixelScaleY (const sVec3< T > &pos, const sMatrix< T > &worldView, const sMatrix< T > &proj, const ni::sRect< T > &aRect)
template<typename T >
T	ComputePixelWorldSizeX (const T afPixelSize, const ni::sVec3< T > &avPos, const ni::sMatrix< T > &mtxWorldView, const ni::sMatrix< T > &mtxProj, const ni::sRect< T > &aRect)
template<typename T >
T	ComputePixelWorldSizeY (const T afPixelSize, const ni::sVec3< T > &avPos, const ni::sMatrix< T > &mtxWorldView, const ni::sMatrix< T > &mtxProj, const ni::sRect< T > &aRect)
template<typename T >
sVec2< T >	ComputePixelWorldSizeVec2 (const T afPixelSize, const ni::sVec3< T > &avPos, const ni::sMatrix< T > &mtxWorldView, const ni::sMatrix< T > &mtxProj, const ni::sRect< T > &aRect)
template<typename T >
T	ComputePixelWorldSize (const T afPixelSize, const ni::sVec3< T > &avPos, const ni::sMatrix< T > &mtxWorldView, const ni::sMatrix< T > &mtxProj, const ni::sRect< T > &aRect)
template<typename T >
ni::sVec3< T > &	VecSphericalToCartesian (ni::sVec3< T > &aOut, const ni::sVec3< T > &avS)
template<typename T >
ni::sVec3< T > &	VecCartesianToSpherical (ni::sVec3< T > &aOut, const ni::sVec3< T > &avC)
template<typename T >
ni::sVec3< T > &	VecOrbitPitch (ni::sVec3< T > &aOut, const ni::sVec3< T > &aTarget, const ni::sVec3< T > &aPos, T afPitch)
template<typename T >
ni::sVec3< T > &	VecOrbitYaw (ni::sVec3< T > &aOut, const ni::sVec3< T > &aTarget, const ni::sVec3< T > &aPos, T afYaw)
template<typename T >
ni::sVec3< T > &	VecOrbitYawPitch (ni::sVec3< T > &aOut, const ni::sVec3< T > &aTarget, const ni::sVec3< T > &aPos, T afYaw, T afPitch)
template<typename T >
sVec3< T > &	RandomDirection (sVec3< T > &vDirOut, const sVec3< T > &vN, int4 *aPRNG=ni_prng_global())
	Generates a random direction in the upper hemisphere. More...
template<typename T >
sVec4< T > &	VecClamp (sVec4< T > &Out, const sVec4< T > &V, const sVec4< T > &aMin=sVec4< T >::Zero(), const sVec4< T > &aMax=sVec4< T >::One())
template<class T >
sVec4< T > &	VecAdd (sVec4< T > &Out, const sVec4< T > &V1, const sVec4< T > &V2)
template<class T >
sVec4< T > &	VecSub (sVec4< T > &Out, const sVec4< T > &V1, const sVec4< T > &V2)
template<class T >
sVec4< T > &	VecMul (sVec4< T > &Out, const sVec4< T > &V1, const sVec4< T > &V2)
template<class T >
sVec4< T > &	VecDiv (sVec4< T > &Out, const sVec4< T > &V1, const sVec4< T > &V2)
template<class T >
sVec4< T > &	VecMAD (sVec4< T > &Out, const sVec4< T > &A, const sVec4< T > &B, const sVec4< T > &C)
template<class T >
sVec4< T > &	VecMAD (sVec4< T > &Out, const sVec4< T > &A, const T scale, const sVec4< T > &B)
template<class T >
sVec4< T > &	VecBaryCentric (sVec4< T > &Out, const sVec4< T > &V1, const sVec4< T > &V2, const sVec4< T > &V3, T f, T g)
template<class T >
sVec4< T > &	VecCatmullRom (sVec4< T > &Out, const sVec4< T > &V1, const sVec4< T > &V2, const sVec4< T > &V3, const sVec4< T > &V4, T s)
template<class T >
sVec4< T > &	VecCross (sVec4< T > &Out, const sVec4< T > &V1, const sVec4< T > &V2, const sVec4< T > &V3)
template<class T >
sVec4< T > *	VecCross (sVec4< T > *Out, const sVec4< T > *V1, const sVec4< T > *V2, const sVec4< T > *V3)
template<class T >
T	VecDot (const sVec4< T > &V1, const sVec4< T > &V2)
template<class T >
T	VecDot (const sVec4< T > *V1, const sVec4< T > *V2)
template<class T >
sVec4< T > &	VecHermite (sVec4< T > &Out, const sVec4< T > &V1, const sVec4< T > &T1, const sVec4< T > &V2, const sVec4< T > &T2, T s)
template<class T >
T	VecLength (const sVec4< T > &V)
template<class T >
T	VecDistance (const sVec4< T > &A, const sVec4< T > &B)
template<class T >
sVec4< T > &	VecSetLength (sVec4< T > &Out, const sVec4< T > &V, T l)
template<class T >
T	VecLengthSq (const sVec4< T > &V)
template<class T >
sVec4< T > &	VecMaximize (sVec4< T > &Out, const sVec4< T > &V1, const sVec4< T > &V2)
template<class T >
sVec4< T > &	VecMinimize (sVec4< T > &Out, const sVec4< T > &V1, const sVec4< T > &V2)
template<class T >
sVec4< T > &	VecNormalize (sVec4< T > &Out, const sVec4< T > &V)
template<class T >
sVec4< T > *	VecNormalize (sVec4< T > *Out, const sVec4< T > *V)
template<class T >
sVec4< T > &	VecNormalize (sVec4< T > &Out)
template<class T >
sVec4< T > &	VecScale (sVec4< T > &Out, const sVec4< T > &V, T s)
template<class T >
sVec4< T > &	VecTransform (sVec4< T > &Out, const sVec4< T > &V, const sMatrix< T > &M)
template<class T >
sVec4< T > *	VecTransform (sVec4< T > *Out, const sVec4< T > *V, const sMatrix< T > *M)
template<class T >
sVec4< T > &	VecAbs (sVec4< T > &Out, const sVec4< T > &V)
template<class T >
sVec4< T > &	VecLerp (sVec4< T > &Out, const sVec4< T > &V1, const sVec4< T > &V2, T fac)
template<class T >
sVec4< T > &	VecLerp (sVec4< T > &Out, const sVec4< T > &V1, const sVec4< T > &V2, const sVec4< T > &V3)
template<class T >
tBool	VecIsNormal (const sVec4< T > &v, T epsilon=niEpsilon5)
template<class T >
sVec4< T > &	VecInverse (sVec4< T > &Out, const sVec4< T > &V)
template<class T >
tBool	VecEqual (const sVec4< T > &A, const sVec4< T > &B, T epsilon=niEpsilon5)
template<class T >
int	VecMaxAxis (const sVec4< T > &V)
	sRect ()
	sRect (const sVec4< T > &avVec)
	sRect (const sVec2< T > &aTopLeft, const sVec2< T > &aBottomRight)
	sRect (T aLeft, T aTop, T aWidth=0, T aHeight=0)
	sRect (const sVec2< T > &aTopLeft, T aWidth=0, T aHeight=0)
void	Set (const sVec2< T > &aTopLeft, T aWidth, T aHeight)
	Set the Top Left corner and the size of the rectangle. More...
void	Set (T aLeft, T aTop, T aWidth=0, T aHeight=0)
	Set the Top Left corner and the size of the rectangle. More...
void	SetCorners (const sVec2< T > &aTopLeft, const sVec2< T > &aBottomRight)
	Set the rectangle corners. More...
void	SetCorner (eRectCorners aCorner, const sVec2< T > &aCornerPos)
	Set a rectangle corner. Adapt the others accordingly. More...
sVec2< T >	GetCorner (eRectCorners aCorner) const
	Get a rectangle corner. More...
void	SetLeft (T aV)
	Set the Left edge. More...
T	GetLeft () const
	Get the Left edge. More...
void	SetRight (T aV)
	Set the Right edge. More...
T	GetRight () const
	Get the Right edge. More...
void	SetTop (T aV)
	Set the Top edge. More...
T	GetTop () const
	Get the Top edge. More...
void	SetBottom (T aV)
	Set the Bottom edge. More...
T	GetBottom () const
	Get the Bottom edge. More...
void	SetWidth (T aWidth)
	Set the width of the rectangle. More...
T	GetWidth () const
	Get the width of the rectangle. More...
void	SetHeight (T aHeight)
	Set the height of the rectangle. More...
T	GetHeight () const
	Get the height of the rectangle. More...
void	SetSize (T aWidth, T aHeight)
	Set the width and height of the rectangle. More...
void	SetSize (const sVec2< T > &aSize)
	Set the size of the rectangle. More...
sVec2< T >	GetSize () const
	Get the size of the rectangle. More...
void	Move (const sVec2< T > &aMoveOffset)
	Move the rectangle of the given offsets (relative movement). More...
void	MoveTo (const sVec2< T > &aPos, eRectCorners aCorner=eRectCorners_TopLeft)
	Move the rectangle to the given position (absolute movement). More...
void	Inflate (const sVec2< T > &aV)
	Inflate the size of the rectangle. More...
void	Normalize ()
	Normalize the rectangle. Make sure that width and height are positive. More...
void	SetCenter (const sVec2< T > &avPos)
	Set the center point of the rectangle. More...
sVec2< T >	GetCenter () const
	Get the center point of the rectangle. More...
tBool	IntersectRect (const sRect< T > &aRect) const
	Return eTrue if the given rectangle intersect this rectangle. More...
tBool	Intersect (const sVec2< T > &aPoint) const
	Return eTrue if the given point intersect/is inside this rectangle. More...
sRect	ClipRect (const sRect< T > &aRect) const
	clips the rectangle passed against himself and returns the resulting rectangle More...
sRect	ComputeFrameCenter (T Left, T Right, T Top, T Bottom) const
	Get the center of the a frame with the specified borders. More...
sRect &	operator+= (const sVec2< T > &v)
	+= operator, move the rectangle. More...
sRect	operator+ (const sVec2< T > &v) const
	+= operator, move the rectangle. More...
sRect &	operator-= (const sVec2< T > &v)
	-= operator, move the rectangle. More...
sRect	operator- (const sVec2< T > &v) const
	-= operator, move the rectangle. More...
sRect &	operator= (const sVec2< T > &v)
	= operator, move the rectangle to the specified position, Top Left is the anchor corner. More...

Typedef Documentation

typedef Complex<tF32> Complexf

tF32 complex number

typedef Complex<tF64> Complexd

tF64 complex number

typedef sDecomposedMatrix<tF32> sDecomposedMatrixf

Decomposed matrix tF32.

typedef sDecomposedMatrix<tF64> sDecomposedMatrixd

Decomposed matrix tF64.

typedef sRect<tI32> sRecti

Int Rect.

typedef sRect<tF32> sRectf

Float Rect.

typedef astl::vector<sVec2f> tVec2fVec

typedef tVec2fVec::iterator tVec2fVecIt

typedef tVec2fVec::const_iterator tVec2fVecCIt

typedef astl::vector<sVec2i> tVec2iVec

typedef tVec2iVec::iterator tVec2iVecIt

typedef tVec2iVec::const_iterator tVec2iVecCIt

typedef astl::vector<sVec3f> tVec3fVec

typedef tVec3fVec::iterator tVec3fVecIt

typedef tVec3fVec::const_iterator tVec3fVecCIt

typedef astl::vector<sVec4f> tVec4fVec

typedef tVec4fVec::iterator tVec4fVecIt

typedef tVec4fVec::const_iterator tVec4fVecCIt

typedef astl::vector<sPlanef> tPlanefVec

typedef tPlanefVec::iterator tPlanefVecIt

typedef tPlanefVec::const_iterator tPlanefVecCIt

typedef astl::vector<sMatrixf> tMatrixfVec

sMatrixf vector.

typedef tMatrixfVec::iterator tMatrixfVecIt

sMatrixf vector iterator.

typedef tMatrixfVec::const_iterator tMatrixfVecCIt

sMatrixf vector constant iterator.

typedef tMatrixfVec::reverse_iterator tMatrixfVecRIt

sMatrixf vector reverse iterator.

typedef tMatrixfVec::const_reverse_iterator tMatrixfVecCRIt

sMatrixf vector constant reverse iterator.

typedef sMatrix< tF64 > sMatrixd

tF64 matrix.

typedef astl::vector<sMatrixd> tMatrixdVec

sMatrixd vector.

typedef tMatrixdVec::iterator tMatrixdVecIt

sMatrixd vector iterator.

typedef tMatrixdVec::const_iterator tMatrixdVecCIt

sMatrixd vector constant iterator.

typedef tMatrixdVec::reverse_iterator tMatrixdVecRIt

sMatrixd vector reverse iterator.

typedef tMatrixdVec::const_reverse_iterator tMatrixdVecCRIt

sMatrixd vector constant reverse iterator.

typedef XMatrix<2,2,tI32> XMatrix22l

typedef XMatrix<2,3,tI32> XMatrix23l

typedef XMatrix<3,3,tI32> XMatrix33l

typedef XMatrix<4,4,tI32> XMatrix44l

typedef XMatrix<2,1,tI32> XVec2l

typedef XMatrix<3,1,tI32> XVec3l

typedef XMatrix<4,1,tI32> XVec4l

typedef XMatrix<2,2,tF32> XMatrix22f

typedef XMatrix<2,3,tF32> XMatrix23f

typedef XMatrix<3,3,tF32> XMatrix33f

typedef XMatrix<4,4,tF32> XMatrix44f

typedef XMatrix<2,1,tF32> XVec2f

typedef XMatrix<3,1,tF32> XVec3f

typedef XMatrix<4,1,tF32> XVec4f

typedef XMatrix<2,2,tF64> XMatrix22d

typedef XMatrix<2,3,tF64> XMatrix23d

typedef XMatrix<3,3,tF64> XMatrix33d

typedef XMatrix<4,4,tF64> XMatrix44d

typedef XMatrix<2,1,tF64> XVec2d

typedef XMatrix<3,1,tF64> XVec3d

typedef XMatrix<4,1,tF64> XVec4d

Enumeration Type Documentation

enum eFPUPrecision

FPU precision.

Enumerator
eFPUPrecision_24
eFPUPrecision_53
eFPUPrecision_64
eFPUPrecision_Mask
eFPUPrecision_Lowest
eFPUPrecision_Highest
eFPUPrecision_ForceDWORD

enum eFPURounding

FPU rounding.

Enumerator
eFPURounding_Near
eFPURounding_Down
eFPURounding_Up
eFPURounding_Truncate
eFPURounding_Mask
eFPURounding_ForceDWORD

Function Documentation

Complex<T> ni::cx	(	T	re,
		T	im = T(0)
	)

Complex<T> ni::cx

(

const ni::sVec2< T > &

c

)

Complex<T> ni::re

(

T

v

)

Complex<T> ni::im

(

T

v

)

T ni::re

(

const Complex< T > &

v

)

T ni::im

(

const Complex< T > &

v

)

Complex<tF32> ni::Num< Complex< tF32 > >

(

const tF64

a

)

Complex<tF64> ni::Num< Complex< tF64 > >

(

const tF64

a

)

bool ni::operator==	(	T	v,
		const Complex< T > &	c
	)

bool ni::operator!=	(	T	v,
		const Complex< T > &	c
	)

Complex<T> ni::Polar	(	T	rho,
		T	phi
	)

Complex<T> ni::Conjugate

(

const Complex< T > &

c

)

T ni::Modulus

(

const Complex< T > &

c

)

T ni::ModulusSq

(

const Complex< T > &

c

)

T ni::Argument

(

const Complex< T > &

c

)

Complex<T> ni::Sqrt

(

const Complex< T > &

c

)

Complex<T> ni::Exp

(

const Complex< T > &

c

)

Complex<T> ni::Log10

(

const Complex< T > &

c

)

Complex<T> ni::LogE

(

const Complex< T > &

c

)

Complex<T> ni::Pow	(	const Complex< T > &	c,
		const Complex< T > &	b
	)

Complex<T> ni::Sin

(

const Complex< T > &

c

)

Complex<T> ni::Cos

(

const Complex< T > &

c

)

Complex<T> ni::Tan

(

const Complex< T > &

c

)

Complexf ni::ref

(

tF32

v

)

Complexf ni::imf

(

tF32

v

)

T ni::ClampT	(	T	aX,
		T	aMin,
		T	aMax
	)

T ni::RepeatT	(	T	aX,
		T	aMin,
		T	aMax
	)

T ni::MirrorT	(	T	aX,
		T	aMin,
		T	aMax
	)

T ni::CycleT	(	T	aX,
		T	aMin,
		T	aMax
	)

T ni::CurveStep	(	const T &	a,
		const T &	b,
		const S	t
	)

T ni::CurveLinear	(	const T &	V1,
		const T &	V2,
		S	s
	)

T ni::CurveCos	(	const T &	a,
		const T &	b,
		const S	t
	)

T ni::CurveHermite	(	const T &	V1,
		const T &	T1,
		const T &	V2,
		const T &	T2,
		S	s
	)

T ni::CurveCatmullRom	(	const T &	V1,
		const T &	V2,
		const T &	V3,
		const T &	V4,
		S	s
	)

T ni::CurveCardinal	(	const T &	V1,
		const T &	V2,
		const T &	V3,
		const T &	V4,
		S	s,
		S	a
	)

T ni::CurveCardinal	(	const T &	V1,
		const T &	V2,
		S	s,
		S	a
	)

T ni::CycleLinear	(	T	aX,
		T	aMin,
		T	aMax
	)

T ni::CycleCos	(	T	aX,
		T	aMin,
		T	aMax
	)

T ni::CycleCardinal	(	T	aX,
		T	aMin,
		T	aMax,
		const T	a
	)

sDecomposedMatrix<T>& ni::DecomposedMatrixFromMatrix	(	sDecomposedMatrix< T > &	Out,
		const sMatrix< T > &	In
	)

sMatrix<T>& ni::DecomposedMatrixToMatrix	(	sMatrix< T > &	Out,
		const sDecomposedMatrix< T > &	In
	)

sDecomposedMatrix<T>& ni::DecomposedMatrixLerp	(	sDecomposedMatrix< T > &	Out,
		const sDecomposedMatrix< T > &	A,
		const sDecomposedMatrix< T > &	B,
		T	fac,
		eQuatSlerp	aSlerp = eQuatSlerp_Short
	)

sDecomposedMatrix<T>& ni::DecomposedMatrixMultiply	(	sDecomposedMatrix< T > &	Out,
		const sDecomposedMatrix< T > &	A,
		const sDecomposedMatrix< T > &	B
	)

void ni::MathUtilMatrixFromQuat	(	T &	r11,
		T &	r12,
		T &	r13,
		T &	r21,
		T &	r22,
		T &	r23,
		T &	r31,
		T &	r32,
		T &	r33,
		const sQuat< T > &	q
	)

void ni::MathUtilPostTranslate	(	sMatrix< T > &	m,
		const T	tx,
		const T	ty,
		const T	tz
	)

void ni::MathUtilPostRotateQuat	(	sMatrix< T > &	m,
		const sQuat< T > &	q
	)

void ni::MathUtilPostRotateQuatInverse	(	sMatrix< T > &	m,
		const sQuat< T > &	q
	)

void ni::MathUtilPostScale	(	sMatrix< T > &	m,
		const T	sx,
		const T	sy,
		const T	sz
	)

sMatrix<T>& ni::MatrixAffineTransformation	(	sMatrix< T > &	Out,
		T	scaling,
		const sVec3< T > *	pRotationCenter = NULL,
		const sQuat< T > *	pRotation = NULL,
		const sVec3< T > *	pTranslation = NULL
	)

T ni::MatrixDeterminant2

(

const sMatrix< T > &

M

)

T ni::MatrixDeterminant3

(

const sMatrix< T > &

M

)

T ni::MatrixDeterminant

(

const sMatrix< T > &

M

)

T ni::MatrixGetHandeness

(

const sMatrix< T > &

M

)

sMatrix<T>& ni::MatrixIdentity

(

sMatrix< T > &

Out

)

sMatrix<T>& ni::MatrixInverse	(	sMatrix< T > &	aOut,
		const sMatrix< T > &	aIn,
		T *	apDet = NULL
	)

sMatrix<T>& ni::MatrixTransformInverse	(	sMatrix< T > &	Out,
		const sMatrix< T > &	M
	)

tBool ni::MatrixIsIdentity

(

const sMatrix< T > &

M

)

sMatrix<T>& ni::MatrixLookAtRH	(	sMatrix< T > &	Out,
		const sVec3< T > &	Eye,
		const sVec3< T > &	At,
		const sVec3< T > &	Up
	)

sMatrix<T>& ni::MatrixLookAtLH	(	sMatrix< T > &	Out,
		const sVec3< T > &	Eye,
		const sVec3< T > &	At,
		const sVec3< T > &	Up
	)

sMatrix<T>& ni::MatrixMultiply	(	sMatrix< T > &	Out,
		const sMatrix< T > &	M1,
		const sMatrix< T > &	M2
	)

sMatrix<T>* ni::MatrixMultiply	(	sMatrix< T > *	Out,
		const sMatrix< T > *	M1,
		const sMatrix< T > *	M2
	)

sMatrix<T>& ni::MatrixOrthoRH	(	sMatrix< T > &	Out,
		T	w,
		T	h,
		T	zn,
		T	zf
	)

sMatrix<T>& ni::MatrixOrthoLH	(	sMatrix< T > &	Out,
		T	w,
		T	h,
		T	zn,
		T	zf
	)

sMatrix<T>& ni::MatrixOrthoOffCenterRH	(	sMatrix< T > &	Out,
		T	l,
		T	r,
		T	t,
		T	b,
		T	zn,
		T	zf
	)

sMatrix<T>& ni::MatrixOrthoOffCenterLH	(	sMatrix< T > &	Out,
		T	l,
		T	r,
		T	t,
		T	b,
		T	zn,
		T	zf
	)

sMatrix<T>& ni::MatrixPerspectiveRH	(	sMatrix< T > &	Out,
		T	w,
		T	h,
		T	zn,
		T	zf
	)

sMatrix<T>& ni::MatrixPerspectiveLH	(	sMatrix< T > &	Out,
		T	w,
		T	h,
		T	zn,
		T	zf
	)

sMatrix<T>& ni::MatrixPerspectiveFovRH	(	sMatrix< T > &	Out,
		T	fovy,
		T	aspect,
		T	zn,
		T	zf
	)

sMatrix<T>& ni::MatrixPerspectiveFovLH	(	sMatrix< T > &	Out,
		T	fovy,
		T	aspect,
		T	zn,
		T	zf
	)

sMatrix<T>& ni::MatrixPerspectiveOffCenterRH	(	sMatrix< T > &	Out,
		T	l,
		T	r,
		T	t,
		T	b,
		T	zn,
		T	zf
	)

sMatrix<T>& ni::MatrixPerspectiveOffCenterLH	(	sMatrix< T > &	Out,
		T	l,
		T	r,
		T	t,
		T	b,
		T	zn,
		T	zf
	)

sMatrix<T>& ni::MatrixReflect	(	sMatrix< T > &	Out,
		const sVec4< T > &	Plane
	)

ni::sMatrix<T>& ni::MatrixRotationAxis	(	ni::sMatrix< T > &	Out,
		const ni::sVec3< T > &	V,
		T	angle
	)

sMatrix<T>& ni::MatrixRotationQuat	(	sMatrix< T > &	Out,
		const sQuat< T > &	Q
	)

sMatrix<T>& ni::MatrixRotationX	(	sMatrix< T > &	Out,
		T	angle
	)

sMatrix<T>& ni::MatrixRotationY	(	sMatrix< T > &	Out,
		T	angle
	)

sMatrix<T>& ni::MatrixRotationZ	(	sMatrix< T > &	Out,
		T	angle
	)

sMatrix<T>& ni::MatrixRotationYawPitchRoll	(	sMatrix< T > &	Out,
		T	yaw,
		T	pitch,
		T	roll
	)

sVec3<T> ni::MatrixDecomposeYawPitchRoll

(

const sMatrix< T > &

mat

)

sMatrix<T>& ni::MatrixScaling	(	sMatrix< T > &	Out,
		T	sx,
		T	sy,
		T	sz
	)

sMatrix<T>& ni::MatrixScaling	(	sMatrix< T > &	Out,
		const sVec3< T > &	V
	)

sMatrix<T>& ni::MatrixScale	(	sMatrix< T > &	Out,
		const sMatrix< T > &	M,
		const T	x,
		const T	y,
		const T	z
	)

sMatrix<T>& ni::MatrixScale	(	sMatrix< T > &	Out,
		const sMatrix< T > &	M,
		const sVec3< T > &	V
	)

sMatrix<T>& ni::MatrixScale	(	sMatrix< T > &	Out,
		const sMatrix< T > &	M,
		const T	s
	)

sMatrix<T>& ni::MatrixShadow	(	sMatrix< T > &	Out,
		const sVec4< T > &	vLight,
		const sVec4< T > &	Plane
	)

sMatrix<T>& ni::MatrixTransformation	(	sMatrix< T > &	Out,
		const sVec3< T > *	pScalingCenter,
		const sQuat< T > *	pScalingRotation,
		const sVec3< T > *	pScaling,
		const sVec3< T > *	pRotationCenter,
		const sQuat< T > *	pRotation,
		const sVec3< T > *	pTranslation
	)

sMatrix<T>& ni::MatrixTranslation	(	sMatrix< T > &	Out,
		T	x,
		T	y,
		T	z
	)

sMatrix<T>& ni::MatrixTranslation	(	sMatrix< T > &	Out,
		const sVec3< T > &	V
	)

sMatrix<T>& ni::MatrixTranspose	(	sMatrix< T > &	Out,
		const sMatrix< T > &	M
	)

sMatrix<T>& ni::MatrixTranspose3x3	(	sMatrix< T > &	Out,
		const sMatrix< T > &	M
	)

sMatrix<T>& ni::MatrixTextureOffset2	(	sMatrix< T > &	Out,
		T	fBias,
		tI32	nTexW,
		tI32	nTexH,
		tI32	nDepthBits
	)

sMatrix<T>& ni::MatrixTextureOffset	(	sMatrix< T > &	Out,
		T	fBias,
		tI32	nTexW,
		tI32	nTexH
	)

sMatrix<T>& ni::MatrixLerp	(	sMatrix< T > &	Out,
		const sMatrix< T > &	A,
		const sMatrix< T > &	B,
		T	fFac
	)

sVec3<T>& ni::MatrixGetForward	(	sVec3< T > &	Out,
		const sMatrix< T > &	M
	)

sVec3<T>& ni::MatrixGetUp	(	sVec3< T > &	Out,
		const sMatrix< T > &	M
	)

sVec3<T>& ni::MatrixGetRight	(	sVec3< T > &	Out,
		const sMatrix< T > &	M
	)

sVec3<T>& ni::MatrixGetTranslation	(	sVec3< T > &	Out,
		const sMatrix< T > &	M
	)

sMatrix<T>& ni::MatrixSetForward	(	sMatrix< T > &	Out,
		const sVec3< T > &	V
	)

sMatrix<T>& ni::MatrixSetUp	(	sMatrix< T > &	Out,
		const sVec3< T > &	V
	)

sMatrix<T>& ni::MatrixSetRight	(	sMatrix< T > &	Out,
		const sVec3< T > &	V
	)

sMatrix<T>& ni::MatrixSetTranslation	(	sMatrix< T > &	Out,
		const sVec3< T > &	V
	)

tBool ni::MatrixIsNormal	(	const sMatrix< T > &	M,
		T	epsilon = niEpsilon5
	)

tBool ni::MatrixIsOrthogonal	(	const sMatrix< T > &	M,
		T	epsilon = niEpsilon5
	)

tBool ni::MatrixIsOrthoNormal	(	const sMatrix< T > &	M,
		T	epsilon = niEpsilon5
	)

sMatrix<T>& ni::MatrixSetRotation	(	sMatrix< T > &	Out,
		const sMatrix< T > &	M
	)

sVec3<T>& ni::MatrixToEuler	(	const sMatrix< T > &	M,
		sVec3< T > &	euler
	)

sMatrix<T>& ni::MatrixToCoordinateSystem	(	sMatrix< T > &	Out,
		const sVec3< T > &	avRight,
		const sVec3< T > &	avUp,
		const sVec3< T > &	avFwd,
		const sVec3< T > &	avOrg = sVec3<T>::Zero()
	)

sMatrix<T>* ni::MatrixOrthogonalize	(	sMatrix< T > &	Out,
		const sMatrix< T > &	In,
		const T	epsilon = (T)niEpsilon5
	)

sMatrix<T>& ni::MatrixNormalize	(	sMatrix< T > &	Out,
		const sMatrix< T > &	In
	)

sMatrix<T>& ni::MatrixSetScale	(	sMatrix< T > &	Out,
		const sMatrix< T > &	In,
		const sVec3f &	avScale
	)

sVec3<T>& ni::MatrixGetProjectedTranslation	(	sVec3< T > &	Out,
		const sMatrix< T > &	M,
		T *	pDeterminant = NULL
	)

sMatrix<T>& ni::MatrixSetProjectedTranslation	(	sMatrix< T > &	Out,
		const sVec3< T > &	avT
	)

sMatrix<T>& ni::MatrixSetNotRotation	(	sMatrix< T > &	Out,
		const sMatrix< T > &	M
	)

sMatrix<T>& ni::MatrixRotate	(	sMatrix< T > &	Out,
		const sMatrix< T > &	M1,
		const sMatrix< T > &	M2
	)

sMatrix<T> ni::MatrixRotationPivot	(	sMatrix< T > &	aOut,
		const sMatrix< T > &	aM2,
		const sVec3< T > &	avPivot
	)

sMatrix<T> ni::MatrixRotationPivotAndScale	(	sMatrix< T > &	aOut,
		const sMatrix< T > &	aM2,
		const sVec3< T > &	avPivot,
		const sVec3< T > &	avScale
	)

sMatrix<T>& ni::MatrixScalingH	(	sMatrix< T > &	Out,
		T	sx,
		T	sy,
		T	sz,
		T	sh
	)

sMatrix<T>& ni::MatrixScalingH	(	sMatrix< T > &	Out,
		const sVec4< T > &	aR
	)

sMatrix<T>& ni::MatrixRotationXYZ	(	sMatrix< T > &	Out,
		T	x,
		T	y,
		T	z
	)

sMatrix<T>& ni::MatrixRotationXYZ	(	sMatrix< T > &	Out,
		const sVec3< T > &	aR
	)

sMatrix<T>& ni::MatrixRotationZYX	(	sMatrix< T > &	Out,
		T	x,
		T	y,
		T	z
	)

sMatrix<T>& ni::MatrixRotationZYX	(	sMatrix< T > &	Out,
		const sVec3< T > &	aR
	)

sVec3<T>& ni::MatrixGetLocalScale	(	sVec3< T > &	aS,
		const sMatrix< T > &	In
	)

sVec3<T>& ni::MatrixGetLocalScaleSq	(	sVec3< T > &	aS,
		const sMatrix< T > &	In
	)

void ni::MatrixDecompose	(	const sMatrix< T > &	In,
		sVec3< T > &	aT,
		sVec3< T > &	aR,
		sVec4< T > &	aS,
		const T	aEps = (T)niEpsilon4
	)

Remarks

Recompose the matrix with the formula : scale * rotation [z*y*x order] * translation = original matrix if inverted is true (aS.w < 0.0), then negate scale and the above formula will be correct.

void ni::MatrixDecomposeQ	(	const sMatrix< T > &	In,
		sVec3< T > &	aT,
		sQuat< T > &	aR,
		sVec4< T > &	aS,
		const T	aEps = (T)niEpsilon5
	)

sMatrix<T>& ni::MatrixCompose	(	sMatrix< T > &	Out,
		const sVec3< T > &	aT,
		const sVec3< T > &	aR,
		const sVec4< T > &	aS
	)

sMatrix<T>& ni::MatrixComposeQ	(	sMatrix< T > &	Out,
		const sVec3< T > &	aT,
		const sQuat< T > &	aR,
		const sVec4< T > &	aS
	)

sMatrix<T>& ni::MatrixViewport	(	sMatrix< T > &	Out,
		const sVec4< T > &	aVP,
		const T	aMinZ,
		const T	aMaxZ
	)

const sMatrix<T>& ni::MatrixAdjustViewport	(	sMatrix< T > &	Out,
		const sVec4< T > &	aContextVP,
		const sVec4< T > &	aVirtualVP,
		const T	afMinZ,
		const T	afMaxZ
	)

T ni::MatrixGetFovV

(

const sMatrix< T > &

aMtx

)

sVec3<T>& ni::MatrixDecomposeGetZYX	(	sVec3< T > &	aR,
		const sMatrix< T > &	In,
		const T	aEps = (T)niEpsilon4
	)

sQuat<T>& ni::MatrixDecomposeGetQ	(	sQuat< T > &	aR,
		const sMatrix< T > &	In,
		const T	aEps = (T)niEpsilon4
	)

sVec4<T>& ni::MatrixDecomposeGetScale	(	sVec4< T > &	aS,
		const sMatrix< T > &	In,
		const T	aEps = (T)niEpsilon4
	)

sVec3<T>& ni::MatrixDecomposeGetTranslation	(	sVec3< T > &	aT,
		const sMatrix< T > &	In
	)

sMatrix<T> ni::MatrixFlipProjectionY

(

const sMatrix< T > &

aMatrix

)

sMatrix<T> ni::MatrixProjection2D	(	const T	afOrthoProjectionOffset,
		const sRect< T > &	aRect,
		const T	afVerticalFov,
		const sVec2< T > &	aCameraPos = sVec2<T>::Zero()
	)

Compute a projection matrix to do pixel perfect 2d rendering.

Parameters

afOrthoProjectionOffset	is the projection offset to do pixel perfect mapping, usually retrieved from ultof(iGraphicsDriver::GetCaps(eGraphicsCaps_OrthoProjectionOffset)).
aRect	the 2d canvas size.
afVerticalFov,if	> 0 creates a perspective matrix with the specified fov instead of a ortho projection.
aCameraPos,x	& y offset of the camera afVerticalFov is specified.

Remarks

View matrix should be identity with this projection matrix.

T ni::PlaneDot	(	const sVec4< T > &	P,
		const sVec4< T > &	V
	)

T ni::PlaneDotCoord	(	const sVec4< T > &	P,
		const sVec3< T > &	V
	)

T ni::PlaneDistance	(	const sVec4< T > &	P,
		const sVec3< T > &	V
	)

T ni::PlaneDotNormal	(	const sVec4< T > &	P,
		const sVec3< T > &	V
	)

sVec4<T>& ni::PlaneFromPointNormal	(	sVec4< T > &	Out,
		const sVec3< T > &	vPoint,
		const sVec3< T > &	vNormal
	)

sVec4<T>& ni::PlaneFromPoints	(	sVec4< T > &	Out,
		const sVec3< T > &	V1,
		const sVec3< T > &	V2,
		const sVec3< T > &	V3
	)

sVec3<T>* ni::PlaneIntersectLine	(	const sVec4< T > &	P,
		const sVec3< T > &	V1,
		const sVec3< T > &	V2,
		sVec3< T > *	pOut = NULL,
		T *	percent = NULL
	)

sVec3<T>* ni::PlaneIntersectRay	(	const sVec4< T > &	P,
		const sVec3< T > &	avRayPos,
		const sVec3< T > &	avRayDir,
		sVec3< T > *	pOut = NULL,
		T *	dist = NULL
	)

sVec4<T>* ni::PlaneNormalize	(	sVec4< T > &	Out,
		const sVec4< T > &	P
	)

sVec4<T>* ni::PlaneNormalize

(

sVec4< T > &

Out

)

sVec4<T>& ni::PlaneTransform	(	sVec4< T > &	Out,
		const sVec4< T > &	P,
		const sMatrix< T > &	M
	)

sVec4<T>& ni::PlaneTransformInversedMatrix	(	sVec4< T > &	Out,
		const sVec4< T > &	P,
		const sMatrix< T > &	M
	)

sVec3<T>* ni::PlaneIntersection	(	sVec3< T > &	Out,
		const sVec4< T > &	PA,
		const sVec4< T > &	PB,
		const sVec4< T > &	PC
	)

sVec3<T>& ni::PlaneClosest	(	sVec3< T > &	Out,
		const sVec4< T > &	P,
		const sVec3< T > &	A
	)

ePlaneType ni::PlaneType

(

const sVec4< T > &

Plane

)

ePlaneType ni::PlaneMaxType

(

const sVec4< T > &

Plane

)

sMatrix<T>& ni::PlaneExtractCoordinateSystem	(	sMatrix< T > &	Out,
		const sVec4< T > &	Plane,
		tBool	abTranspose,
		const sVec3< T > *	apFwdDir,
		const sVec3< T > *	apOrigin
	)

The output matrix will contain the coordinate system that corespond to the plane. Up vector is the plane normal. Right and Fwd lies on the plane. If not NULL apFwdDir is the direction toward which the forward vector should be the closest. By example if you want the forward vector to be the one that points down you'd pass sVec3f::OpYAxis() here.

tBool ni::PlaneIntersectSphere	(	const sVec4< T > &	plane,
		const sVec3< T > &	pos,
		T	radius
	)

sQuat<T>& ni::QuatBaryCentric	(	sQuat< T > &	Out,
		const sQuat< T > &	Q1,
		const sQuat< T > &	Q2,
		const sQuat< T > &	Q3,
		T	f,
		T	g
	)

sQuat<T>& ni::QuatConjugate	(	sQuat< T > &	Out,
		const sQuat< T > &	Q
	)

T ni::QuatDot	(	const sQuat< T > &	Q1,
		const sQuat< T > &	Q2
	)

sQuat<T>& ni::QuatExp	(	sQuat< T > &	Out,
		const sQuat< T > &	Q
	)

sQuat<T>& ni::QuatIdentity

(

sQuat< T > &

Out

)

sQuat<T>& ni::QuatInverse	(	sQuat< T > &	Out,
		const sQuat< T > &	Q
	)

tBool ni::QuatIsIdentity

(

const sQuat< T > &

Q

)

T ni::QuatLength

(

const sQuat< T > &

Q

)

T ni::QuatLengthSq

(

const sQuat< T > &

Q

)

sQuat<T>& ni::QuatLn	(	sQuat< T > &	Out,
		const sQuat< T > &	Q
	)

sQuat<T>& ni::QuatMultiply	(	sQuat< T > &	Out,
		const sQuat< T > &	Q1,
		const sQuat< T > &	Q2
	)

sQuat<T>& ni::QuatNormalize	(	sQuat< T > &	Out,
		const sQuat< T > &	Q
	)

sQuat<T>& ni::QuatNormalize

(

sQuat< T > &

Out

)

sQuat<T>& ni::QuatRotationAxis	(	sQuat< T > &	Out,
		const sVec3< T > &	V,
		T	angle
	)

sQuat<T>& ni::QuatRotateX	(	sQuat< T > &	Out,
		const sQuat< T > &	Src,
		T	angle
	)

sQuat<T>& ni::QuatRotateY	(	sQuat< T > &	Out,
		const sQuat< T > &	Src,
		T	angle
	)

sQuat<T>& ni::QuatRotateZ	(	sQuat< T > &	Out,
		const sQuat< T > &	Src,
		T	angle
	)

sQuat<T>& ni::QuatRotationX	(	sQuat< T > &	Out,
		T	angle
	)

sQuat<T>& ni::QuatRotationY	(	sQuat< T > &	Out,
		T	angle
	)

sQuat<T>& ni::QuatRotationZ	(	sQuat< T > &	Out,
		T	angle
	)

sQuat<T>& ni::QuatRotationMatrix	(	sQuat< T > &	Out,
		const sMatrix< T > &	M
	)

sQuat<T>& ni::QuatRotationYawPitchRoll	(	sQuat< T > &	Out,
		const T	yaw,
		const T	pitch,
		const T	roll
	)

sQuat<T>& ni::QuatRotationVector	(	sQuat< T > &	Out,
		const sVec3< T > &	vFrom,
		const sVec3< T > &	vTo
	)

sQuat<T>& ni::QuatSlerp	(	sQuat< T > &	Out,
		const sQuat< T > &	Q1,
		const sQuat< T > &	Q2,
		T	t,
		eQuatSlerp	mode = eQuatSlerp_Short
	)

sQuat<T>& ni::QuatSquad	(	sQuat< T > &	Out,
		const sQuat< T > &	Q1,
		const sQuat< T > &	Q2,
		const sQuat< T > &	Q3,
		const sQuat< T > &	Q4,
		T	t
	)

sVec3<T>& ni::QuatGetAxis	(	sVec3< T > &	vAxis,
		const sQuat< T > &	Q
	)

T ni::QuatGetAngle

(

const sQuat< T > &

Q

)

void ni::QuatToAxisAngle	(	const sQuat< T > &	Q,
		sVec3< T > &	vAxis,
		T &	Angle
	)

sVec3<T>& ni::QuatToEuler	(	const sQuat< T > &	Q,
		sVec3< T > &	euler
	)

sQuat<T>& ni::QuatRandom

(

sQuat< T > &

aQ

)

sQuat<T>& ni::QuatRotationZYX	(	sQuat< T > &	Out,
		T	rx,
		T	ry,
		T	rz
	)

sQuat<T>& ni::QuatRotationZYX	(	sQuat< T > &	Out,
		const sVec3< T > &	V
	)

sQuat<T>& ni::QuatRotationXYZ	(	sQuat< T > &	Out,
		T	rx,
		T	ry,
		T	rz
	)

sQuat<T>& ni::QuatRotationXYZ	(	sQuat< T > &	Out,
		const sVec3< T > &	V
	)

sVec2<T>& ni::VecClamp	(	sVec2< T > &	Out,
		const sVec2< T > &	V,
		const sVec2< T > &	aMin = sVec2<T>::Zero(),
		const sVec2< T > &	aMax = sVec2<T>::One()
	)

sVec2<T>& ni::VecAdd	(	sVec2< T > &	Out,
		const sVec2< T > &	V1,
		const sVec2< T > &	V2
	)

sVec2<T>& ni::VecMul	(	sVec2< T > &	Out,
		const sVec2< T > &	V1,
		const sVec2< T > &	V2
	)

sVec2<T>& ni::VecDiv	(	sVec2< T > &	Out,
		const sVec2< T > &	V1,
		const sVec2< T > &	V2
	)

sVec2<T>& ni::VecMAD	(	sVec2< T > &	Out,
		const sVec2< T > &	A,
		const sVec2< T > &	B,
		const sVec2< T > &	C
	)

sVec2<T>& ni::VecMAD	(	sVec2< T > &	Out,
		const sVec2< T > &	A,
		T	scale,
		const sVec2< T > &	B
	)

sVec2<T>& ni::VecMAD	(	sVec2< T > &	Out,
		const sVec2< T > &	A,
		T	scale,
		T	add
	)

sVec2<T>& ni::VecSub	(	sVec2< T > &	Out,
		const sVec2< T > &	V1,
		const sVec2< T > &	V2
	)

sVec2<T>& ni::VecBaryCentric	(	sVec2< T > &	Out,
		const sVec2< T > &	V1,
		const sVec2< T > &	V2,
		const sVec2< T > &	V3,
		T	f,
		T	g
	)

sVec2<T>& ni::VecCatmullRom	(	sVec2< T > &	Out,
		const sVec2< T > &	V1,
		const sVec2< T > &	V2,
		const sVec2< T > &	V3,
		const sVec2< T > &	V4,
		T	s
	)

T ni::VecCCW	(	const sVec2< T > &	V1,
		const sVec2< T > &	V2
	)

T ni::VecDot	(	const sVec2< T > &	V1,
		const sVec2< T > &	V2
	)

T ni::VecDot	(	const sVec2< T > *	V1,
		const sVec2< T > *	V2
	)

sVec2<T>& ni::VecHermite	(	sVec2< T > &	Out,
		const sVec2< T > &	V1,
		const sVec2< T > &	T1,
		const sVec2< T > &	V2,
		const sVec2< T > &	T2,
		T	s
	)

T ni::VecLength

(

const sVec2< T > &

V

)

T ni::VecDistance	(	const sVec2< T > &	A,
		const sVec2< T > &	B
	)

sVec2<T>& ni::VecSetLength	(	sVec2< T > &	Out,
		const sVec2< T > &	V,
		T	l
	)

T ni::VecLengthSq

(

const sVec2< T > &

V

)

sVec2<T>& ni::VecMaximize	(	sVec2< T > &	Out,
		const sVec2< T > &	V1,
		const sVec2< T > &	V2
	)

sVec2<T>& ni::VecMinimize	(	sVec2< T > &	Out,
		const sVec2< T > &	V1,
		const sVec2< T > &	V2
	)

sVec2<T>& ni::VecNormalize	(	sVec2< T > &	Out,
		const sVec2< T > &	V
	)

sVec2<T>* ni::VecNormalize	(	sVec2< T > *	Out,
		const sVec2< T > *	V
	)

sVec2<T>& ni::VecNormalize

(

sVec2< T > &

Out

)

sVec2<T>& ni::VecScale	(	sVec2< T > &	Out,
		const sVec2< T > &	V,
		T	s
	)

sVec4<T>& ni::VecTransform	(	sVec4< T > &	Out,
		const sVec2< T > &	V,
		const sMatrix< T > &	M
	)

sVec4<T>* ni::VecTransform	(	sVec4< T > *	Out,
		const sVec2< T > *	V,
		const sMatrix< T > *	M
	)

sVec2<T>& ni::VecTransformCoord	(	sVec2< T > &	Out,
		const sVec2< T > &	V,
		const sMatrix< T > &	M
	)

sVec2<T>* ni::VecTransformCoord	(	sVec2< T > *	Out,
		const sVec2< T > *	V,
		const sMatrix< T > *	M
	)

sVec2<T>& ni::VecTransformNormal	(	sVec2< T > &	Out,
		const sVec2< T > &	V,
		const sMatrix< T > &	M
	)

sVec2<T>* ni::VecTransformNormal	(	sVec2< T > *	Out,
		const sVec2< T > *	V,
		const sMatrix< T > *	M
	)

sVec2<T>& ni::VecAbs	(	sVec2< T > &	Out,
		const sVec2< T > &	V
	)

sVec2<T>& ni::VecLerp	(	sVec2< T > &	Out,
		const sVec2< T > &	V1,
		const sVec2< T > &	V2,
		T	fac
	)

sVec2<T>& ni::VecLerp	(	sVec2< T > &	Out,
		const sVec2< T > &	V1,
		const sVec2< T > &	V2,
		const sVec2< T > &	V3
	)

tBool ni::VecIsNormal	(	const sVec2< T > &	v,
		T	epsilon = niEpsilon5
	)

sVec2<T>& ni::VecInverse	(	sVec2< T > &	Out,
		const sVec2< T > &	V
	)

tBool ni::VecEqual	(	const sVec2< T > &	A,
		const sVec2< T > &	B,
		T	epsilon = niEpsilon5
	)

int ni::VecMaxAxis

(

const sVec2< T > &

V

)

sVec3<T>& ni::VecClamp	(	sVec3< T > &	Out,
		const sVec3< T > &	V,
		const sVec3< T > &	aMin = sVec3<T>::Zero(),
		const sVec3< T > &	aMax = sVec3<T>::One()
	)

sVec3<T>& ni::VecAdd	(	sVec3< T > &	Out,
		const sVec3< T > &	V1,
		const sVec3< T > &	V2
	)

sVec3<T>& ni::VecSub	(	sVec3< T > &	Out,
		const sVec3< T > &	V1,
		const sVec3< T > &	V2
	)

sVec3<T>& ni::VecMul	(	sVec3< T > &	Out,
		const sVec3< T > &	V1,
		const sVec3< T > &	V2
	)

sVec3<T>& ni::VecDiv	(	sVec3< T > &	Out,
		const sVec3< T > &	V1,
		const sVec3< T > &	V2
	)

sVec3<T>& ni::VecMAD	(	sVec3< T > &	Out,
		const sVec3< T > &	A,
		const sVec3< T > &	B,
		const sVec3< T > &	C
	)

sVec3<T>& ni::VecMAD	(	sVec3< T > &	Out,
		const sVec3< T > &	A,
		const T	scale,
		const sVec3< T > &	B
	)

sVec3<T>& ni::VecBaryCentric	(	sVec3< T > &	Out,
		const sVec3< T > &	V1,
		const sVec3< T > &	V2,
		const sVec3< T > &	V3,
		T	f,
		T	g
	)

sVec3<T>& ni::VecCatmullRom	(	sVec3< T > &	Out,
		const sVec3< T > &	V1,
		const sVec3< T > &	V2,
		const sVec3< T > &	V3,
		const sVec3< T > &	V4,
		T	s
	)

sVec3<T>& ni::VecCross	(	sVec3< T > &	Out,
		const sVec3< T > &	V1,
		const sVec3< T > &	V2
	)

sVec3<T>* ni::VecCross	(	sVec3< T > *	Out,
		const sVec3< T > *	V1,
		const sVec3< T > *	V2
	)

T ni::VecDot	(	const sVec3< T > &	V1,
		const sVec3< T > &	V2
	)

T ni::VecDot	(	const sVec3< T > *	V1,
		const sVec3< T > *	V2
	)

sVec3<T>& ni::VecHermite	(	sVec3< T > &	Out,
		const sVec3< T > &	V1,
		const sVec3< T > &	T1,
		const sVec3< T > &	V2,
		const sVec3< T > &	T2,
		T	s
	)

T ni::VecLength

(

const sVec3< T > &

V

)

T ni::VecDistance	(	const sVec3< T > &	A,
		const sVec3< T > &	B
	)

sVec3<T>& ni::VecSetLength	(	sVec3< T > &	Out,
		const sVec3< T > &	V,
		T	l
	)

T ni::VecLengthSq

(

const sVec3< T > &

V

)

sVec3<T>& ni::VecMaximize	(	sVec3< T > &	Out,
		const sVec3< T > &	V1,
		const sVec3< T > &	V2
	)

sVec3<T>& ni::VecMinimize	(	sVec3< T > &	Out,
		const sVec3< T > &	V1,
		const sVec3< T > &	V2
	)

sVec3<T>& ni::VecNormalize	(	sVec3< T > &	Out,
		const sVec3< T > &	V
	)

sVec3<T>* ni::VecNormalize	(	sVec3< T > *	Out,
		const sVec3< T > *	V
	)

sVec3<T>& ni::VecNormalize

(

sVec3< T > &

Out

)

sVec3<T>& ni::VecScale	(	sVec3< T > &	Out,
		const sVec3< T > &	V,
		T	s
	)

sVec4<T>& ni::VecTransform	(	sVec4< T > &	Out,
		const sVec3< T > &	V,
		const sMatrix< T > &	M
	)

sVec4<T>* ni::VecTransform	(	sVec4< T > *	Out,
		const sVec3< T > *	V,
		const sMatrix< T > *	M
	)

sVec3<T>& ni::VecTransformCoord	(	sVec3< T > &	Out,
		const sVec3< T > &	V,
		const sMatrix< T > &	M
	)

sVec3<T>* ni::VecTransformCoord	(	sVec3< T > *	Out,
		const sVec3< T > *	V,
		const sMatrix< T > *	M
	)

sVec3<T>& ni::VecTransformNormal	(	sVec3< T > &	Out,
		const sVec3< T > &	V,
		const sMatrix< T > &	M
	)

sVec3<T>* ni::VecTransformNormal	(	sVec3< T > *	Out,
		const sVec3< T > *	V,
		const sMatrix< T > *	M
	)

sVec3<T>& ni::VecAbs	(	sVec3< T > &	Out,
		const sVec3< T > &	V
	)

sVec3<T>& ni::VecLerp	(	sVec3< T > &	Out,
		const sVec3< T > &	V1,
		const sVec3< T > &	V2,
		T	fac
	)

sVec3<T>& ni::VecLerp	(	sVec3< T > &	Out,
		const sVec3< T > &	V1,
		const sVec3< T > &	V2,
		const sVec3< T > &	V3
	)

tBool ni::VecIsNormal	(	const sVec3< T > &	v,
		T	epsilon = niEpsilon5
	)

sVec3<T>& ni::VecInverse	(	sVec3< T > &	Out,
		const sVec3< T > &	V
	)

sVec3<T>& ni::VecToViewport	(	sVec3< T > &	aOut,
		const ni::sVec3< T > &	avProjected,
		const ni::sRect< T > &	aRect
	)

sVec3<T>& ni::VecProject	(	sVec3< T > &	aOut,
		const ni::sVec3< T > &	avPos,
		const ni::sMatrix< T > &	amtxWVP,
		const ni::sRect< T > &	aRect
	)

sVec4<T>& ni::VecProjectRHW	(	sVec4< T > &	aOut,
		const ni::sVec3< T > &	avPos,
		const ni::sMatrix< T > &	mtxWVP,
		const ni::sRect< T > &	aRect
	)

sVec3<T>& ni::VecUnproject	(	sVec3< T > &	avOut,
		const sVec3< T > &	avIn,
		T	afVPX,
		T	afVPY,
		T	afVPW,
		T	afVPH,
		const sMatrix< T > &	amtxViewProj
	)

tBool ni::VecEqual	(	const sVec3< T > &	A,
		const sVec3< T > &	B,
		T	epsilon = niEpsilon5
	)

sVec3<T>& ni::VecReflect	(	sVec3< T > &	Out,
		const sVec3< T > &	Dir,
		const sVec3< T > &	Normal
	)

T ni::VecAngle	(	const sVec3< T > &	v1,
		const sVec3< T > &	v2
	)

int ni::VecMaxAxis

(

const sVec3< T > &

V

)

ni::sVec3<T> ni::GetScreenPosition	(	const ni::sVec3< T > &	avPos,
		const sMatrix< T > &	mtxVP,
		const ni::sRect< T > &	aRect
	)

void ni::ComputeTangentSpace	(	const sVec3< T > &	PA,
		const sVec2< T > &	TA,
		const sVec3< T > &	PB,
		const sVec2< T > &	TB,
		const sVec3< T > &	PC,
		const sVec2< T > &	TC,
		sVec3< T > &	vTangent0,
		sVec3< T > &	vTangent1
	)

Compute texture space of a triangle.

T ni::ComputePixelScaleX	(	const sVec3< T > &	pos,
		const sMatrix< T > &	worldView,
		const sMatrix< T > &	proj,
		const ni::sRect< T > &	aRect
	)

T ni::ComputePixelScaleY	(	const sVec3< T > &	pos,
		const sMatrix< T > &	worldView,
		const sMatrix< T > &	proj,
		const ni::sRect< T > &	aRect
	)

T ni::ComputePixelWorldSizeX	(	const T	afPixelSize,
		const ni::sVec3< T > &	avPos,
		const ni::sMatrix< T > &	mtxWorldView,
		const ni::sMatrix< T > &	mtxProj,
		const ni::sRect< T > &	aRect
	)

T ni::ComputePixelWorldSizeY	(	const T	afPixelSize,
		const ni::sVec3< T > &	avPos,
		const ni::sMatrix< T > &	mtxWorldView,
		const ni::sMatrix< T > &	mtxProj,
		const ni::sRect< T > &	aRect
	)

sVec2<T> ni::ComputePixelWorldSizeVec2	(	const T	afPixelSize,
		const ni::sVec3< T > &	avPos,
		const ni::sMatrix< T > &	mtxWorldView,
		const ni::sMatrix< T > &	mtxProj,
		const ni::sRect< T > &	aRect
	)

T ni::ComputePixelWorldSize	(	const T	afPixelSize,
		const ni::sVec3< T > &	avPos,
		const ni::sMatrix< T > &	mtxWorldView,
		const ni::sMatrix< T > &	mtxProj,
		const ni::sRect< T > &	aRect
	)

ni::sVec3<T>& ni::VecSphericalToCartesian	(	ni::sVec3< T > &	aOut,
		const ni::sVec3< T > &	avS
	)

ni::sVec3<T>& ni::VecCartesianToSpherical	(	ni::sVec3< T > &	aOut,
		const ni::sVec3< T > &	avC
	)

ni::sVec3<T>& ni::VecOrbitPitch	(	ni::sVec3< T > &	aOut,
		const ni::sVec3< T > &	aTarget,
		const ni::sVec3< T > &	aPos,
		T	afPitch
	)

ni::sVec3<T>& ni::VecOrbitYaw	(	ni::sVec3< T > &	aOut,
		const ni::sVec3< T > &	aTarget,
		const ni::sVec3< T > &	aPos,
		T	afYaw
	)

ni::sVec3<T>& ni::VecOrbitYawPitch	(	ni::sVec3< T > &	aOut,
		const ni::sVec3< T > &	aTarget,
		const ni::sVec3< T > &	aPos,
		T	afYaw,
		T	afPitch
	)

sVec3<T>& ni::RandomDirection	(	sVec3< T > &	vDirOut,
		const sVec3< T > &	vN,
		int4 *	aPRNG = ni_prng_global()
	)

Generates a random direction in the upper hemisphere.

sVec4<T>& ni::VecClamp	(	sVec4< T > &	Out,
		const sVec4< T > &	V,
		const sVec4< T > &	aMin = sVec4<T>::Zero(),
		const sVec4< T > &	aMax = sVec4<T>::One()
	)

sVec4<T>& ni::VecAdd	(	sVec4< T > &	Out,
		const sVec4< T > &	V1,
		const sVec4< T > &	V2
	)

sVec4<T>& ni::VecSub	(	sVec4< T > &	Out,
		const sVec4< T > &	V1,
		const sVec4< T > &	V2
	)

sVec4<T>& ni::VecMul	(	sVec4< T > &	Out,
		const sVec4< T > &	V1,
		const sVec4< T > &	V2
	)

sVec4<T>& ni::VecDiv	(	sVec4< T > &	Out,
		const sVec4< T > &	V1,
		const sVec4< T > &	V2
	)

sVec4<T>& ni::VecMAD	(	sVec4< T > &	Out,
		const sVec4< T > &	A,
		const sVec4< T > &	B,
		const sVec4< T > &	C
	)

sVec4<T>& ni::VecMAD	(	sVec4< T > &	Out,
		const sVec4< T > &	A,
		const T	scale,
		const sVec4< T > &	B
	)

sVec4<T>& ni::VecBaryCentric	(	sVec4< T > &	Out,
		const sVec4< T > &	V1,
		const sVec4< T > &	V2,
		const sVec4< T > &	V3,
		T	f,
		T	g
	)

sVec4<T>& ni::VecCatmullRom	(	sVec4< T > &	Out,
		const sVec4< T > &	V1,
		const sVec4< T > &	V2,
		const sVec4< T > &	V3,
		const sVec4< T > &	V4,
		T	s
	)

sVec4<T>& ni::VecCross	(	sVec4< T > &	Out,
		const sVec4< T > &	V1,
		const sVec4< T > &	V2,
		const sVec4< T > &	V3
	)

sVec4<T>* ni::VecCross	(	sVec4< T > *	Out,
		const sVec4< T > *	V1,
		const sVec4< T > *	V2,
		const sVec4< T > *	V3
	)

T ni::VecDot	(	const sVec4< T > &	V1,
		const sVec4< T > &	V2
	)

T ni::VecDot	(	const sVec4< T > *	V1,
		const sVec4< T > *	V2
	)

sVec4<T>& ni::VecHermite	(	sVec4< T > &	Out,
		const sVec4< T > &	V1,
		const sVec4< T > &	T1,
		const sVec4< T > &	V2,
		const sVec4< T > &	T2,
		T	s
	)

T ni::VecLength

(

const sVec4< T > &

V

)

T ni::VecDistance	(	const sVec4< T > &	A,
		const sVec4< T > &	B
	)

sVec4<T>& ni::VecSetLength	(	sVec4< T > &	Out,
		const sVec4< T > &	V,
		T	l
	)

T ni::VecLengthSq

(

const sVec4< T > &

V

)

sVec4<T>& ni::VecMaximize	(	sVec4< T > &	Out,
		const sVec4< T > &	V1,
		const sVec4< T > &	V2
	)

sVec4<T>& ni::VecMinimize	(	sVec4< T > &	Out,
		const sVec4< T > &	V1,
		const sVec4< T > &	V2
	)

sVec4<T>& ni::VecNormalize	(	sVec4< T > &	Out,
		const sVec4< T > &	V
	)

sVec4<T>* ni::VecNormalize	(	sVec4< T > *	Out,
		const sVec4< T > *	V
	)

sVec4<T>& ni::VecNormalize

(

sVec4< T > &

Out

)

sVec4<T>& ni::VecScale	(	sVec4< T > &	Out,
		const sVec4< T > &	V,
		T	s
	)

sVec4<T>& ni::VecTransform	(	sVec4< T > &	Out,
		const sVec4< T > &	V,
		const sMatrix< T > &	M
	)

sVec4<T>* ni::VecTransform	(	sVec4< T > *	Out,
		const sVec4< T > *	V,
		const sMatrix< T > *	M
	)

sVec4<T>& ni::VecAbs	(	sVec4< T > &	Out,
		const sVec4< T > &	V
	)

sVec4<T>& ni::VecLerp	(	sVec4< T > &	Out,
		const sVec4< T > &	V1,
		const sVec4< T > &	V2,
		T	fac
	)

sVec4<T>& ni::VecLerp	(	sVec4< T > &	Out,
		const sVec4< T > &	V1,
		const sVec4< T > &	V2,
		const sVec4< T > &	V3
	)

tBool ni::VecIsNormal	(	const sVec4< T > &	v,
		T	epsilon = niEpsilon5
	)

sVec4<T>& ni::VecInverse	(	sVec4< T > &	Out,
		const sVec4< T > &	V
	)

tBool ni::VecEqual	(	const sVec4< T > &	A,
		const sVec4< T > &	B,
		T	epsilon = niEpsilon5
	)

int ni::VecMaxAxis

(

const sVec4< T > &

V

)

sRect

(

)

sRect

(

const sVec4< T > &

avVec

)

sRect ( const sVec2< T > &  aTopLeft, const sVec2< T > &  aBottomRight  )

explicit

sRect ( T  aLeft, T  aTop, T  aWidth = 0, T  aHeight = 0  )

explicit

sRect ( const sVec2< T > &  aTopLeft, T  aWidth = 0, T  aHeight = 0  )

explicit

void Set	(	const sVec2< T > &	aTopLeft,
		T	aWidth,
		T	aHeight
	)

Set the Top Left corner and the size of the rectangle.

void Set	(	T	aLeft,
		T	aTop,
		T	aWidth = 0,
		T	aHeight = 0
	)

Set the Top Left corner and the size of the rectangle.

void SetCorners	(	const sVec2< T > &	aTopLeft,
		const sVec2< T > &	aBottomRight
	)

Set the rectangle corners.

void SetCorner	(	eRectCorners	aCorner,
		const sVec2< T > &	aCornerPos
	)

Set a rectangle corner. Adapt the others accordingly.

sVec2< T > GetCorner

(

eRectCorners

aCorner

)

const

Get a rectangle corner.

void SetLeft

(

T

aV

)

Set the Left edge.

T GetLeft

(

)

const

Get the Left edge.

void SetRight

(

T

aV

)

Set the Right edge.

T GetRight

(

)

const

Get the Right edge.

void SetTop

(

T

aV

)

Set the Top edge.

T GetTop

(

)

const

Get the Top edge.

void SetBottom

(

T

aV

)

Set the Bottom edge.

T GetBottom

(

)

const

Get the Bottom edge.

void SetWidth

(

T

aWidth

)

Set the width of the rectangle.

T GetWidth

(

)

const

Get the width of the rectangle.

void SetHeight

(

T

aHeight

)

Set the height of the rectangle.

T GetHeight

(

)

const

Get the height of the rectangle.

void SetSize	(	T	aWidth,
		T	aHeight
	)

Set the width and height of the rectangle.

void SetSize

(

const sVec2< T > &

aSize

)

Set the size of the rectangle.

sVec2< T > GetSize

(

)

const

Get the size of the rectangle.

void Move

(

const sVec2< T > &

aMoveOffset

)

Move the rectangle of the given offsets (relative movement).

void MoveTo	(	const sVec2< T > &	aPos,
		eRectCorners	aCorner = eRectCorners_TopLeft
	)

Move the rectangle to the given position (absolute movement).

Parameters

aPos	indicates where to move to.
aCorner	is indicates the anchor point.

void Inflate

(

const sVec2< T > &

aV

)

Inflate the size of the rectangle.

Remarks

Negative number will "deflate" the rectangle.

void Normalize

(

)

Normalize the rectangle. Make sure that width and height are positive.

void SetCenter

(

const sVec2< T > &

avPos

)

Set the center point of the rectangle.

sVec2< T > GetCenter

(

)

const

Get the center point of the rectangle.

tBool IntersectRect

(

const sRect< T > &

aRect

)

const

Return eTrue if the given rectangle intersect this rectangle.

Remarks

Intersection test doesnt include the Bottom and Right edges.

tBool Intersect

(

const sVec2< T > &

aPoint

)

const

Return eTrue if the given point intersect/is inside this rectangle.

Remarks

Intersection test doesnt include the Bottom and Right edges.

sRect< T > ClipRect

(

const sRect< T > &

aRect

)

const

clips the rectangle passed against himself and returns the resulting rectangle

sRect< T > ComputeFrameCenter	(	T	Left,
		T	Right,
		T	Top,
		T	Bottom
	)		const

Get the center of the a frame with the specified borders.

sRect< T > & operator+=

(

const sVec2< T > &

v

)

+= operator, move the rectangle.

sRect< T > operator+

(

const sVec2< T > &

v

)

const

+= operator, move the rectangle.

sRect< T > & operator-=

(

const sVec2< T > &

v

)

-= operator, move the rectangle.

sRect< T > operator-

(

const sVec2< T > &

v

)

const

-= operator, move the rectangle.

sRect< T > & operator=

(

const sVec2< T > &

v

)

= operator, move the rectangle to the specified position, Top Left is the anchor corner.