eLynx::Math Namespace Reference

Classes
class	AbstractTransformation
class	BellCurve
class	BellSurface
struct	BezierTriangle3
class	BSpline1
class	BSpline2
struct	ConvolutionKernel
class	GaussNewton
class	Point2
class	Point3
class	Segment2
class	Segment3
class	Rectangle2
class	AOBBox2
class	Triangle2
class	Triangle3
class	TriangleIdx
struct	TriangulationData
struct	BarycentricCoordinates2
class	IFunctionNL
class	IMatrix
class	IResampleFilter
class	ISpline1D
class	ISpline2D
class	IVector
class	KDTree
struct	KDNode
class	LeastSquares
class	LinearTransformation
class	Matrix
class	MatrixColVector
class	MatrixRowVector
class	Ramp
class	ResampleHelper
class	SingleColMatrix
class	SingleRowMatrix
class	SubMatrix
class	IMapTransform
class	CopyTransform
class	GammaTransform
class	MidtoneTransform
class	ITransfertFunction
class	AbstractTransfertFunction
class	TransfertFunctionCopy
class	TransfertFunctionGamma
class	TransfertFunctionMidtone
class	TransposedMatrix
class	Vector
Typedefs
typedef ConvolutionKernel< float >	ConvolutionKernelf
typedef ConvolutionKernel< double >	ConvolutionKerneld
typedef ConvolutionKernel< int32 >	ConvolutionKerneli
typedef std::vector< Point2i >	Point2iList
typedef std::vector< Point2l >	Point2lList
typedef std::vector< Point2f >	Point2fList
typedef std::vector< Point2d >	Point2dList
typedef std::vector< AOBBox2i >	AOBBox2iList
typedef std::vector< AOBBox2l >	AOBBox2lList
typedef std::vector< AOBBox2f >	AOBBox2fList
typedef std::vector< AOBBox2d >	AOBBox2dList
typedef std::vector< TriangleIdx >	TriangleIdxList
1d BSpline specializations
typedef BSpline1< int32 >	BSpline1i
typedef BSpline1< int64 >	BSpline1l
typedef BSpline1< float >	BSpline1f
typedef BSpline1< double >	BSpline1d
2d BSpline specializations
typedef BSpline2< int32 >	BSpline2i
typedef BSpline2< int64 >	BSpline2l
typedef BSpline2< float >	BSpline2f
typedef BSpline2< double >	BSpline2d
Point specializations
typedef Point2< int32 >	Point2i
typedef Point2< int64 >	Point2l
typedef Point2< float >	Point2f
typedef Point2< double >	Point2d
typedef Point3< int32 >	Point3i
typedef Point3< int64 >	Point3l
typedef Point3< float >	Point3f
typedef Point3< double >	Point3d
Segment specializations
typedef Segment2< int32 >	Segment2i
typedef Segment2< int64 >	Segment2l
typedef Segment2< float >	Segment2f
typedef Segment2< double >	Segment2d
typedef Segment3< int32 >	Segment3i
typedef Segment3< int64 >	Segment3l
typedef Segment3< float >	Segment3f
typedef Segment3< double >	Segment3d
Rectangle specializations
typedef Rectangle2< int32 >	Rectangle2i
typedef Rectangle2< int64 >	Rectangle2l
typedef Rectangle2< float >	Rectangle2f
typedef Rectangle2< double >	Rectangle2d
Segment specializations
typedef AOBBox2< int32 >	AOBBox2i
typedef AOBBox2< int64 >	AOBBox2l
typedef AOBBox2< float >	AOBBox2f
typedef AOBBox2< double >	AOBBox2d
Triangle specializations
typedef Triangle2< int32 >	Triangle2i
typedef Triangle2< int64 >	Triangle2l
typedef Triangle2< float >	Triangle2f
typedef Triangle2< double >	Triangle2d
typedef Triangle3< int32 >	Triangle3i
typedef Triangle3< int64 >	Triangle3l
typedef Triangle3< float >	Triangle3f
typedef Triangle3< double >	Triangle3d
Enumerations
enum	ECompassDirection {   CD_North = 0, CD_NorthEast, CD_East, CD_SouthEast,   CD_South, CD_SouthWest, CD_West, CD_NorthWest }
enum	EResampleFilter {   RF_Box, RF_Triangle, RF_Hermite, RF_Bell,   RF_CubicBSpline, RF_Lanczos3, RF_Mitchell, RF_Cosine,   RF_CatmullRom, RF_Quadratic, RF_CubicConvolution, RF_Lanczos5,   RF_Lanczos8, RF_BlackmanHarris, RF_Undefined }
	Implemented resample filter collection. More...
Functions
ExportedByMath bool	elxFFT (float *ioprComplexMap, uint32 iDimArray[], uint32 iDimension, bool ibForward)
ExportedByMath bool	elxFFT (double *ioprComplexMap, uint32 iDimArray[], uint32 iDimension, bool ibForward)
template<typename T >
double	elxGetDistance (const Point2< T > &iP0, const Point2< T > &iP1)
template<typename T >
Point2< T >	elxGetMiddle (const Point2< T > &iP0, const Point2< T > &iP1)
template<class T >
Point2< T >	elxGetMiddle (const Point2< T > &iP0, const Point2< T > &iP1, const Point2< T > &iP2)
template<typename T >
bool	elxComparePoints (const Point2< T > &iP0, const Point2< T > &iP1)
template<typename T >
bool	elxEqualPoints (const Point2< T > &iP0, const Point2< T > &iP1)
template<class T >
Point2< T >	elxNormalizePoint (const Point2< T > &iP)
template<class T >
T	elxDotProduct (const Point2< T > &iP0, const Point2< T > &iP1)
template<class T >
Point2< T >	elxSubstructPoints (const Point2< T > &iP0, const Point2< T > &iP1)
template<class T >
Point2< T >	elxAddPoints (const Point2< T > &iP0, const Point2< T > &iP1)
template<typename T >
double	elxGetDistance (const Point3< T > &iP0, const Point3< T > &iP1)
template<typename T >
Point3< T >	elxGetMiddle (const Point3< T > &iP0, const Point3< T > &iP1)
template<class T >
Point3< T >	elxGetMiddle (const Point3< T > &iP0, const Point3< T > &iP1, const Point3< T > &iP2)
template<typename T >
bool	elxComparePoints (const Point3< T > &iP0, const Point3< T > &iP1)
template<typename T >
bool	elxEqualPoints (const Point3< T > &iP0, const Point3< T > &iP1)
template<class T >
Point3< T >	elxNormalizePoint (const Point3< T > &iP)
template<class T >
Point3< T >	elxCrossProduct (const Point3< T > &iP0, const Point3< T > &iP1)
template<class T >
T	elxDotProduct (const Point3< T > &iP0, const Point3< T > &iP1)
template<class T >
Point3< T >	elxSubstructPoints (const Point3< T > &iP0, const Point3< T > &iP1)
template<class T >
Point3< T >	elxAddPoints (const Point3< T > &iP0, const Point3< T > &iP1)
bool ExportedByMath	elxTriangulate (const Point2iList &iPoints, TriangleIdxList &oTriangles)
bool ExportedByMath	elxTriangulate (const Point2iList &iPoints, TriangulationData &oTriangles)
template<class Operator >
void ExportedByMath	elxProcessLine2i (int32 iX1, int32 iY1, int32 iX2, int32 iY2, int32 iW, int32 iH, Operator &iOperator)
template<class Operator >
void ExportedByMath	elxProcessLine2i (const Math::Point2i &iP1, const Math::Point2i &iP2, int32 iW, int32 iH, Operator &iOperator)
void ExportedByMath	elxComputeLinePoints (const Point2i &iP1, const Point2i &iP2, int32 iW, int32 iH, Point2iList &iPoints)
template<typename T >
bool ExportedByMath	elxIntersectLineLine (const Point2< T > &iPoint11, const Point2< T > &iPoint12, const Point2< T > &iPoint21, const Point2< T > &iPoint22, Point2< T > &oPoint)
template<typename T >
bool ExportedByMath	elxIntersectLineLine (const T iX11, const T iY11, const T iX12, const T iY12, const T iX21, const T iY21, const T iX22, const T iY22, T &X, T &Y)
template<typename T , typename U >
bool ExportedByMath	elxIntersectLineLine (const Point2< T > &iPoint11, const Point2< T > &iPoint12, const Point2< T > &iPoint21, const Point2< T > &iPoint22, Point2< U > &oPoint)
template<typename T , typename U >
bool ExportedByMath	elxIntersectLineLine (const T iX11, const T iY11, const T iX12, const T iY12, const T iX21, const T iY21, const T iX22, const T iY22, U &X, U &Y)
template<typename T >
bool ExportedByMath	elxIntersectLineSegment (const Point2< T > &iPoint1, const Point2< T > &iPoint2, const Segment2< T > &iSegment, Point2< T > &oPoint)
bool ExportedByMath	elxIntersectLineRectangle (const Point2< int32 > &iPoint1, const Point2< int32 > &iPoint2, const Rectangle2< int32 > &iRectangle, Segment2< int32 > &oSegment)
template<typename T >
bool ExportedByMath	elxIntersectCircleRectangle (const Rectangle2< T > &iRectangle, const Point2< T > &iPoint, T iRadius)
ExportedByMath uint32	elxGetKernelSize (double iRadius)
ExportedByMath ConvolutionKerneld	elxMakeGaussianSeparableKernel (uint32 iWidth, double iVariance, bool ibHorizontal)
ExportedByMath ConvolutionKerneld	elxMakeGaussianKernel (uint32 iWidth, uint32 iHeight, double iVariance)
ExportedByMath ConvolutionKerneld	elxMakeGaussianKernel (uint32 iRadius, double iVariance)
ExportedByMath ConvolutionKerneld	elxMakeMeanKernel (uint32 iWidth, uint32 iHeight)
ExportedByMath ConvolutionKerneld	elxMakeMeanRadiusKernel (double iRadius, bool ibCircular=true)
ExportedByMath ConvolutionKerneld	elxMakeCircleKernel (double iRadius, bool ibNormalize=false)
ExportedByMath ConvolutionKerneld	elxMakeSmooth3x3d ()
ExportedByMath ConvolutionKerneld	elxMakeCone5x5d ()
ExportedByMath ConvolutionKerneld	elxMakePyramidal5x5d ()
ExportedByMath ConvolutionKerneld	elxMakeLowpass3x3d (double iAlpha)
ExportedByMath ConvolutionKerneld	elxMakeSharpenSoft3x3d ()
ExportedByMath ConvolutionKerneld	elxMakeSharpenSoft5x5d ()
ExportedByMath ConvolutionKerneld	elxMakeSharpenSmooth3x3d (double iAlpha)
ExportedByMath ConvolutionKerneld	elxMakeSharpenMore3x3d (double iAlpha=1.0)
ExportedByMath ConvolutionKerneld	elxMakeSharpen (double iRadius)
ExportedByMath ConvolutionKerneld	elxMakeEmboss3x3d (double iDegrees=0.0)
ExportedByMath ConvolutionKerneld	elxMakePixelDifference3x3d ()
ExportedByMath ConvolutionKerneld	elxMakeSeparatedPixelDifference3x3d ()
ExportedByMath ConvolutionKerneld	elxMakeRoberts3x3d ()
ExportedByMath ConvolutionKerneld	elxMakePrewitt3x3d ()
ExportedByMath ConvolutionKerneld	elxMakePrewitt5x5d ()
ExportedByMath ConvolutionKerneld	elxMakeFreiChen3x3d ()
ExportedByMath ConvolutionKerneld	elxMakeSobel3x3d ()
ExportedByMath ConvolutionKerneld	elxMakeSobel5x5d ()
ExportedByMath ConvolutionKerneld	elxMakeSobelNxNd (uint32 iSize=3)
ExportedByMath ConvolutionKerneld	elxMakeRobinson5x5d ()
ExportedByMath ConvolutionKerneld	elxMakeLaplacian3x3d ()
ExportedByMath ConvolutionKerneld	elxMakeLaplacian3x3d (double iAlpha)
ExportedByMath ConvolutionKerneld	elxMakeLaplacian (double iRadius)
ExportedByMath ConvolutionKerneld	elxMakeLoG (double iRadius, double iVariance)
ExportedByMath ConvolutionKerneld	elxMakeMarrHildreth3x3d ()
ExportedByMath ConvolutionKerneld	elxMakeKirsch3x3d ()
ExportedByMath ConvolutionKerneld	elxMakeKirsch5x5d ()
template<typename T >
bool	elxApplyRamp (const Ramp< T > &iRamp, T *iprSrc, size_t iSize, uint32 iChannelCount, uint32 iChannelMask)
template<typename T >
bool	elxApplyRampFast (const Ramp< T > &iRamp, T *iprSrc, size_t iSize, uint32 iChannelCount, uint32 iChannelMask)
template<typename T >
bool	elxApplyRamp (const Ramp< T > &iRamp0, const Ramp< T > &iRamp1, T *iprSrc, size_t iSize, uint32 iChannelMask)
template<typename T >
bool	elxApplyRampFast (const Ramp< T > &iRamp0, const Ramp< T > &iRamp1, T *iprSrc, size_t iSize, uint32 iChannelMask)
template<typename T >
bool	elxApplyRamp (const Ramp< T > &iRamp0, const Ramp< T > &iRamp1, const Ramp< T > &iRamp2, T *iprSrc, size_t iSize, uint32 iChannelMask)
template<typename T >
bool	elxApplyRampFast (const Ramp< T > &iRamp0, const Ramp< T > &iRamp1, const Ramp< T > &iRamp2, T *iprSrc, size_t iSize, uint32 iChannelMask)
	DEFINE_RESAMPLE_FILTER (Box)
	DEFINE_RESAMPLE_FILTER (Triangle)
	DEFINE_RESAMPLE_FILTER (Hermite)
	DEFINE_RESAMPLE_FILTER (Bell)
	DEFINE_RESAMPLE_FILTER (CubicBSpline)
	DEFINE_RESAMPLE_FILTER (Lanczos3)
	DEFINE_RESAMPLE_FILTER (Mitchell)
	DEFINE_RESAMPLE_FILTER (Cosine)
	DEFINE_RESAMPLE_FILTER (CatmullRom)
	DEFINE_RESAMPLE_FILTER (Quadratic)
	DEFINE_RESAMPLE_FILTER (CubicConvolution)
	DEFINE_RESAMPLE_FILTER (Lanczos5)
	DEFINE_RESAMPLE_FILTER (Lanczos8)
	DEFINE_RESAMPLE_FILTER (BlackmanHarris)
ExportedByMath const char *	elxToString (EResampleFilter iFilter)
ExportedByMath const IResampleFilter &	elxGetResampleFilter (EResampleFilter iFilter)
Sort function helpers.
template<typename T >
const T &	elxMin (const T &iA, const T &iB)
template<typename T >
const T &	elxMin (const T &iA, const T &iB, const T &iC)
template<typename T >
const T &	elxMin (const T &iA, const T &iB, const T &iC, const T &iD)
template<typename T >
const T &	elxMin (const T &iA, const T &iB, const T &iC, const T &iD, const T &iE)
template<typename T >
const T &	elxMin (const T &iA, const T &iB, const T &iC, const T &iD, const T &iE, const T &iF)
template<typename T >
bool	elxMin (const T *iprSrc, uint32 iSize, T &oMin)
template<typename T >
bool	elxMin (const T *iprSrc, uint32 iSize, uint32 iStep, T *oprMin)
template<typename T >
T	elxMin (T iV0, T iV1, T iV2, T iV3, T iV4, T iV5, T iV6, T iV7, T iV8)
template<typename T >
const T &	elxMax (const T &iA, const T &iB)
template<typename T >
const T &	elxMax (const T &iA, const T &iB, const T &iC)
template<typename T >
const T &	elxMax (const T &iA, const T &iB, const T &iC, const T &iD)
template<typename T >
const T &	elxMax (const T &iA, const T &iB, const T &iC, const T &iD, const T &iE)
template<typename T >
const T &	elxMax (const T &iA, const T &iB, const T &iC, const T &iD, const T &iE, const T &iF)
template<typename T >
bool	elxMax (const T *iprSrc, uint32 iSize, T &oMin)
template<typename T >
bool	elxMax (const T *iprSrc, uint32 iSize, uint32 iStep, T *oprMax)
template<typename T >
T	elxMax (T iV0, T iV1, T iV2, T iV3, T iV4, T iV5, T iV6, T iV7, T iV8)
template<typename T >
bool	elxMinMax (const T *iprSrc, uint32 iSize, T &oMin, T &oMax)
template<typename T >
bool	elxMinMax (const T *iprSrc, uint32 iSize, uint32 iStep, T *oprMin, T *oprMax)
template<typename T >
T	elxNeg (const T iValue)
	negative
template<typename T >
T	elxMedian (T iV0, T iV1, T iV2)
	Median of 3 values.
template<typename T >
T	elxMedian (T iV0, T iV1, T iV2, T iV3)
	Median of 4 values.
template<typename T >
T	elxMedian (T iV0, T iV1, T iV2, T iV3, T iV4, T iV5, T iV6, T iV7, T iV8)
	Median of 9 values.
Normalization.
template<typename T >
bool	elxNormalize (T *ioprSrc, uint32 iSize, T iMin, T iMax)
template<typename T >
bool	elxNormalize (T *ioprSrc, uint32 iSize, const T *oprMin, const T *oprMax, uint32 iChannelMask, uint32 iChannelCount)
template<typename T >
bool	elxNormalize (T *ioprSrc, uint32 iSize)
template<typename T >
bool	elxNormalize (T *ioprSrc, uint32 iStep, uint32 iSize, uint32 iChannelMask, uint32 iChannelCount)
Arithmetic helpers.
template<typename T >
T	elxSign (T iValue)
template<typename T >
T	elxAbs (T iX)
template<typename T >
T	elxFloor (T iValue)
template<typename T >
T	elxCeil (T iValue)
template<typename T >
T	elxRound (T iValue)
template<typename T >
int32	elxRint (T iValue)
template<typename T >
T	elxMod (T iA, T iB)
template<typename T >
T	elxMean (T iV1, T iV2)
template<typename T >
T	elxAbsDiff (T iV1, T iV2)
template<typename T >
bool	elxIsOdd (T iValue)
template<typename T >
bool	elxIsEven (T iValue)
ExportedByMath int32	elxHighBit (uint32 iVal)
Exponential, logarithmic and power function helpers.
template<typename T >
T	elxSqr (T iX)
template<typename T >
T	elxSqrt (T iX)
template<typename T >
T	elxPow (T iX, T iY)
template<typename T >
T	elxLog (T iX)
template<typename T >
T	elxLog10 (T iX)
template<typename T >
T	elxExp (T iX)
template<typename T >
bool	elxIsPow2 (T iValue)
template<typename T >
T	elxNextPow2 (T iValue)
Trigonometric and hyperbolic function helpers.
PI constant value
template<typename T >
T	elxDeg2Rad (T iDegrees)
template<typename T >
T	elxRad2Deg (T iRadian)
template<typename T >
T	elxCos (T iRadian)
template<typename T >
T	elxSin (T iRadian)
template<typename T >
T	elxTan (T iRadian)
template<typename T >
T	elxArccos (T iX)
template<typename T >
T	elxArcsin (T iX)
template<typename T >
T	elxArctan (T iYoX)
Gaussian family function helpers.
template<typename T >
T	elxGetGaussianVariance (T iRadius)
	Get variance from a given radius.
template<typename T >
T	elxGaussian (T iX, T iSigma)
	1D Gaussian curve.
template<typename T >
T	elxGaussian (T iX, T iY, T iSigma)
	2D Gaussian curve.
template<typename T >
T	elxMeanGaussian (T iX, T iSigma)
template<typename T >
T	elxDoG (T iX, T iSigma)
	First Derivative of Gaussian.
template<typename T >
T	elxLoG (T iX, T iSigma)
	Laplacian of Gaussian.
template<typename T >
T	elxLoG (T iX, T iY, T iSigma)
	2D Laplacian of Gaussian curve.
Miscelaneaous function helpers.
template<typename T >
T	elxSmooth (T iMin, T iMax, T iValue)
ExportedByMath double	elxMidtone (double iX, double iMidtone)
Random number generator function helpers.
ExportedByMath void	elxRandomReset ()
ExportedByMath void	elxRandomReset (int32 iSeed)
ExportedByMath int32	elxRandomSign ()
ExportedByMath double	elxRandom ()
template<typename T >
T	elxRandom (T iMax)
template<typename T >
T	elxRandom (T iMin, T iMax)
Operators.
enum	EValueAction { R_NoAction, R_Clamp, R_Cycle }
	List of possible actions with the returned value. More...
template<typename T , typename U >
void	elxClamp (T iIn, U &oOut)
template<typename T >
void	elxClamp (T iInMin, T iInMax, T &oOut)
template<typename T >
bool	elxAdd (T *ioprSrc, uint32 iSize, T iValue)
template<typename T >
bool	elxSub (T *ioprSrc, uint32 iSize, T iValue)
template<typename T >
bool	elxMul (T *ioprSrc, uint32 iSize, T iValue)
template<typename T >
bool	elxDiv (T *ioprSrc, uint32 iSize, T iValue)
template<typename T >
bool	elxDif (T *ioprSrc, uint32 iSize, T iValue)
template<typename T >
bool	elxAddClamp (T *ioprSrc, uint32 iSize, T iValue)
template<typename T >
bool	elxSubClamp (T *ioprSrc, uint32 iSize, T iValue)
template<typename T >
bool	elxMulClamp (T *ioprSrc, uint32 iSize, double iValue)
template<typename T >
bool	elxDivClamp (T *ioprSrc, uint32 iSize, double iValue)
template<typename T >
bool	elxAddCycle (T *ioprSrc, uint32 iSize, T iValue)
template<typename T >
bool	elxSubCycle (T *ioprSrc, uint32 iSize, T iValue)
template<typename T >
bool	elxMulCycle (T *ioprSrc, uint32 iSize, double iValue)
template<typename T >
bool	elxDivCycle (T *ioprSrc, uint32 iSize, double iValue)
template<typename T >
bool	elxAdd (T *ioprSrc, uint32 iSize, T iValue, EValueAction iAction)
template<typename T >
bool	elxSub (T *ioprSrc, uint32 iSize, T iValue, EValueAction iAction)
template<typename T >
bool	elxMul (T *ioprSrc, uint32 iSize, double iValue, EValueAction iAction)
template<typename T >
bool	elxDiv (T *ioprSrc, uint32 iSize, double iValue, EValueAction iAction)
template<typename T >
bool	elxAdd (T *ioprSrc, uint32 iSize, double iValue, EValueAction iAction)
template<typename T >
bool	elxSub (T *ioprSrc, uint32 iSize, double iValue, EValueAction iAction)
template<typename T >
bool	elxAddNorm (T *ioprSrc, uint32 iSize, double iValue, EValueAction iAction)
template<typename T >
bool	elxSubNorm (T *ioprSrc, uint32 iSize, double iValue, EValueAction iAction)
template<typename T >
bool	elxMulNorm (T *ioprSrc, uint32 iSize, double iValue, EValueAction iAction)
template<typename T >
bool	elxDivNorm (T *ioprSrc, uint32 iSize, double iValue, EValueAction iAction)

---

Detailed Description

Deals with all basic math helpers and vectorial tools classes.

• What's to do to complete Math library?

---

Typedef Documentation

typedef BSpline1<int32> eLynx::Math::BSpline1i

Definition at line 76 of file BSpline.h.

typedef BSpline1<int64> eLynx::Math::BSpline1l

Definition at line 77 of file BSpline.h.

typedef BSpline1<float> eLynx::Math::BSpline1f

Definition at line 78 of file BSpline.h.

typedef BSpline1<double> eLynx::Math::BSpline1d

Definition at line 79 of file BSpline.h.

typedef BSpline2<int32> eLynx::Math::BSpline2i

Definition at line 139 of file BSpline.h.

typedef BSpline2<int64> eLynx::Math::BSpline2l

Definition at line 140 of file BSpline.h.

typedef BSpline2<float> eLynx::Math::BSpline2f

Definition at line 141 of file BSpline.h.

typedef BSpline2<double> eLynx::Math::BSpline2d

Definition at line 142 of file BSpline.h.

typedef ConvolutionKernel<float> eLynx::Math::ConvolutionKernelf

Definition at line 139 of file ConvolutionKernel.h.

typedef ConvolutionKernel<double> eLynx::Math::ConvolutionKerneld

Definition at line 140 of file ConvolutionKernel.h.

typedef ConvolutionKernel<int32> eLynx::Math::ConvolutionKerneli

Definition at line 141 of file ConvolutionKernel.h.

typedef Point2<int32> eLynx::Math::Point2i

Definition at line 132 of file Geometry.h.

typedef Point2<int64> eLynx::Math::Point2l

Definition at line 133 of file Geometry.h.

typedef Point2<float> eLynx::Math::Point2f

Definition at line 134 of file Geometry.h.

typedef Point2<double> eLynx::Math::Point2d

Definition at line 135 of file Geometry.h.

typedef Point3<int32> eLynx::Math::Point3i

Definition at line 137 of file Geometry.h.

typedef Point3<int64> eLynx::Math::Point3l

Definition at line 138 of file Geometry.h.

typedef Point3<float> eLynx::Math::Point3f

Definition at line 139 of file Geometry.h.

typedef Point3<double> eLynx::Math::Point3d

Definition at line 140 of file Geometry.h.

typedef std::vector<Point2i> eLynx::Math::Point2iList

Definition at line 143 of file Geometry.h.

typedef std::vector<Point2l> eLynx::Math::Point2lList

Definition at line 144 of file Geometry.h.

typedef std::vector<Point2f> eLynx::Math::Point2fList

Definition at line 145 of file Geometry.h.

typedef std::vector<Point2d> eLynx::Math::Point2dList

Definition at line 146 of file Geometry.h.

typedef Segment2<int32> eLynx::Math::Segment2i

Definition at line 190 of file Geometry.h.

typedef Segment2<int64> eLynx::Math::Segment2l

Definition at line 191 of file Geometry.h.

typedef Segment2<float> eLynx::Math::Segment2f

Definition at line 192 of file Geometry.h.

typedef Segment2<double> eLynx::Math::Segment2d

Definition at line 193 of file Geometry.h.

typedef Segment3<int32> eLynx::Math::Segment3i

Definition at line 195 of file Geometry.h.

typedef Segment3<int64> eLynx::Math::Segment3l

Definition at line 196 of file Geometry.h.

typedef Segment3<float> eLynx::Math::Segment3f

Definition at line 197 of file Geometry.h.

typedef Segment3<double> eLynx::Math::Segment3d

Definition at line 198 of file Geometry.h.

typedef Rectangle2<int32> eLynx::Math::Rectangle2i

Definition at line 230 of file Geometry.h.

typedef Rectangle2<int64> eLynx::Math::Rectangle2l

Definition at line 231 of file Geometry.h.

typedef Rectangle2<float> eLynx::Math::Rectangle2f

Definition at line 232 of file Geometry.h.

typedef Rectangle2<double> eLynx::Math::Rectangle2d

Definition at line 233 of file Geometry.h.

typedef AOBBox2<int32> eLynx::Math::AOBBox2i

Definition at line 272 of file Geometry.h.

typedef AOBBox2<int64> eLynx::Math::AOBBox2l

Definition at line 273 of file Geometry.h.

typedef AOBBox2<float> eLynx::Math::AOBBox2f

Definition at line 274 of file Geometry.h.

typedef AOBBox2<double> eLynx::Math::AOBBox2d

Definition at line 275 of file Geometry.h.

typedef std::vector<AOBBox2i> eLynx::Math::AOBBox2iList

Definition at line 278 of file Geometry.h.

typedef std::vector<AOBBox2l> eLynx::Math::AOBBox2lList

Definition at line 279 of file Geometry.h.

typedef std::vector<AOBBox2f> eLynx::Math::AOBBox2fList

Definition at line 280 of file Geometry.h.

typedef std::vector<AOBBox2d> eLynx::Math::AOBBox2dList

Definition at line 281 of file Geometry.h.

typedef Triangle2<int32> eLynx::Math::Triangle2i

Definition at line 330 of file Geometry.h.

typedef Triangle2<int64> eLynx::Math::Triangle2l

Definition at line 331 of file Geometry.h.

typedef Triangle2<float> eLynx::Math::Triangle2f

Definition at line 332 of file Geometry.h.

typedef Triangle2<double> eLynx::Math::Triangle2d

Definition at line 333 of file Geometry.h.

typedef Triangle3<int32> eLynx::Math::Triangle3i

Definition at line 335 of file Geometry.h.

typedef Triangle3<int64> eLynx::Math::Triangle3l

Definition at line 336 of file Geometry.h.

typedef Triangle3<float> eLynx::Math::Triangle3f

Definition at line 337 of file Geometry.h.

typedef Triangle3<double> eLynx::Math::Triangle3d

Definition at line 338 of file Geometry.h.

typedef std::vector<TriangleIdx> eLynx::Math::TriangleIdxList

Definition at line 358 of file Geometry.h.

---

Enumeration Type Documentation

enum eLynx::Math::ECompassDirection

Orientation CD_NorthWest CD_North CD_NorthEast CD_West CD_East CD_SouthWest CD_South CD_SouthEast

Enumerator:

CD_North
CD_NorthEast
CD_East
CD_SouthEast
CD_South
CD_SouthWest
CD_West
CD_NorthWest

Definition at line 32 of file ConvolutionKernel.h.

enum eLynx::Math::EValueAction

List of possible actions with the returned value.

Enumerator:

R_NoAction
R_Clamp
R_Cycle

Definition at line 202 of file MathCore.h.

enum eLynx::Math::EResampleFilter

Implemented resample filter collection.

Enumerator:

RF_Box	pulse, Fourier window, 1st order (constant) b-spline
RF_Triangle	Bartlett window, 2nd order (linear) b-spline.
RF_Hermite
RF_Bell	3rd order (quadratic) b-spline
RF_CubicBSpline	4th order (cubic) b-spline
RF_Lanczos3
RF_Mitchell	Mitchell & Netravali's two-param cubic.
RF_Cosine
RF_CatmullRom	Catmull-Rom spline, Overhauser spline.
RF_Quadratic
RF_CubicConvolution
RF_Lanczos5
RF_Lanczos8
RF_BlackmanHarris
RF_Undefined

Definition at line 51 of file ResampleFilterImpls.h.

---

Function Documentation

ExportedByMath bool eLynx::Math::elxFFT	(	float *	ioprComplexMap,
		uint32	iDimArray[],
		uint32	iDimension,
		bool	ibForward
	)

Computes an in-place complex-to-complex FFT

Parameters:

	ioprComplexMap,:	a map of complex.
	iDimArray,:	size for each dimension, must be a power of 2.
	iDimension,:	number of dimensions of complex map.
	ibForward	true for forward transform, false for inverse transform.

Returns:

false if the dimensions are not powers of 2, true otherwise.

ExportedByMath bool eLynx::Math::elxFFT	(	double *	ioprComplexMap,
		uint32	iDimArray[],
		uint32	iDimension,
		bool	ibForward
	)

template<typename T >

double eLynx::Math::elxGetDistance	(	const Point2< T > &	iP0,
		const Point2< T > &	iP1
	)			[inline]

template<typename T >

Point2<T> eLynx::Math::elxGetMiddle	(	const Point2< T > &	iP0,
		const Point2< T > &	iP1
	)			[inline]

template<class T >

Point2<T> eLynx::Math::elxGetMiddle	(	const Point2< T > &	iP0,
		const Point2< T > &	iP1,
		const Point2< T > &	iP2
	)			[inline]

template<typename T >

bool eLynx::Math::elxComparePoints	(	const Point2< T > &	iP0,
		const Point2< T > &	iP1
	)			[inline]

template<typename T >

bool eLynx::Math::elxEqualPoints	(	const Point2< T > &	iP0,
		const Point2< T > &	iP1
	)			[inline]

template<class T >

Point2<T> eLynx::Math::elxNormalizePoint

(

const Point2< T > &

iP

)

[inline]

template<class T >

T eLynx::Math::elxDotProduct	(	const Point2< T > &	iP0,
		const Point2< T > &	iP1
	)			[inline]

template<class T >

Point2<T> eLynx::Math::elxSubstructPoints	(	const Point2< T > &	iP0,
		const Point2< T > &	iP1
	)			[inline]

template<class T >

Point2<T> eLynx::Math::elxAddPoints	(	const Point2< T > &	iP0,
		const Point2< T > &	iP1
	)			[inline]

template<typename T >

double eLynx::Math::elxGetDistance	(	const Point3< T > &	iP0,
		const Point3< T > &	iP1
	)			[inline]

template<typename T >

Point3<T> eLynx::Math::elxGetMiddle	(	const Point3< T > &	iP0,
		const Point3< T > &	iP1
	)			[inline]

template<class T >

Point3<T> eLynx::Math::elxGetMiddle	(	const Point3< T > &	iP0,
		const Point3< T > &	iP1,
		const Point3< T > &	iP2
	)			[inline]

template<typename T >

bool eLynx::Math::elxComparePoints	(	const Point3< T > &	iP0,
		const Point3< T > &	iP1
	)			[inline]

template<typename T >

bool eLynx::Math::elxEqualPoints	(	const Point3< T > &	iP0,
		const Point3< T > &	iP1
	)			[inline]

template<class T >

Point3<T> eLynx::Math::elxNormalizePoint

(

const Point3< T > &

iP

)

[inline]

template<class T >

Point3<T> eLynx::Math::elxCrossProduct	(	const Point3< T > &	iP0,
		const Point3< T > &	iP1
	)			[inline]

template<class T >

T eLynx::Math::elxDotProduct	(	const Point3< T > &	iP0,
		const Point3< T > &	iP1
	)			[inline]

template<class T >

Point3<T> eLynx::Math::elxSubstructPoints	(	const Point3< T > &	iP0,
		const Point3< T > &	iP1
	)			[inline]

template<class T >

Point3<T> eLynx::Math::elxAddPoints	(	const Point3< T > &	iP0,
		const Point3< T > &	iP1
	)			[inline]

bool ExportedByMath eLynx::Math::elxTriangulate	(	const Point2iList &	iPoints,
		TriangleIdxList &	oTriangles
	)

bool ExportedByMath eLynx::Math::elxTriangulate	(	const Point2iList &	iPoints,
		TriangulationData &	oTriangles
	)

template<class Operator >

void ExportedByMath eLynx::Math::elxProcessLine2i	(	int32	iX1,
		int32	iY1,
		int32	iX2,
		int32	iY2,
		int32	iW,
		int32	iH,
		Operator &	iOperator
	)			[inline]

template<class Operator >

void ExportedByMath eLynx::Math::elxProcessLine2i	(	const Math::Point2i &	iP1,
		const Math::Point2i &	iP2,
		int32	iW,
		int32	iH,
		Operator &	iOperator
	)			[inline]

void ExportedByMath eLynx::Math::elxComputeLinePoints	(	const Point2i &	iP1,
		const Point2i &	iP2,
		int32	iW,
		int32	iH,
		Point2iList &	iPoints
	)

template<typename T >

bool ExportedByMath eLynx::Math::elxIntersectLineLine	(	const Point2< T > &	iPoint11,
		const Point2< T > &	iPoint12,
		const Point2< T > &	iPoint21,
		const Point2< T > &	iPoint22,
		Point2< T > &	oPoint
	)			[inline]

template<typename T >

bool ExportedByMath eLynx::Math::elxIntersectLineLine	(	const T	iX11,
		const T	iY11,
		const T	iX12,
		const T	iY12,
		const T	iX21,
		const T	iY21,
		const T	iX22,
		const T	iY22,
		T &	X,
		T &	Y
	)			[inline]

template<typename T , typename U >

bool ExportedByMath eLynx::Math::elxIntersectLineLine	(	const Point2< T > &	iPoint11,
		const Point2< T > &	iPoint12,
		const Point2< T > &	iPoint21,
		const Point2< T > &	iPoint22,
		Point2< U > &	oPoint
	)			[inline]

template<typename T , typename U >

bool ExportedByMath eLynx::Math::elxIntersectLineLine	(	const T	iX11,
		const T	iY11,
		const T	iX12,
		const T	iY12,
		const T	iX21,
		const T	iY21,
		const T	iX22,
		const T	iY22,
		U &	X,
		U &	Y
	)			[inline]

template<typename T >

bool ExportedByMath eLynx::Math::elxIntersectLineSegment	(	const Point2< T > &	iPoint1,
		const Point2< T > &	iPoint2,
		const Segment2< T > &	iSegment,
		Point2< T > &	oPoint
	)			[inline]

bool ExportedByMath eLynx::Math::elxIntersectLineRectangle	(	const Point2< int32 > &	iPoint1,
		const Point2< int32 > &	iPoint2,
		const Rectangle2< int32 > &	iRectangle,
		Segment2< int32 > &	oSegment
	)

template<typename T >

bool ExportedByMath eLynx::Math::elxIntersectCircleRectangle	(	const Rectangle2< T > &	iRectangle,
		const Point2< T > &	iPoint,
		T	iRadius
	)			[inline]

ExportedByMath uint32 eLynx::Math::elxGetKernelSize

(

double

iRadius

)

ExportedByMath ConvolutionKerneld eLynx::Math::elxMakeGaussianSeparableKernel	(	uint32	iWidth,
		double	iVariance,
		bool	ibHorizontal
	)

Make 2D Gaussian separable kernel.

Parameters:

	iWidth	the kernel width.
	iVariance	of the Gaussian curve.
	ibHorizontal	true if kernel is Wx1, false for 1xH.

Returns:

A normalized Gaussian kernel.

ExportedByMath ConvolutionKerneld eLynx::Math::elxMakeGaussianKernel	(	uint32	iWidth,
		uint32	iHeight,
		double	iVariance
	)

Make 2D Gaussian kernel.

Parameters:

	iWidth	the kernel width.
	iHeight	the kernel height.
	iVariance	of the Gaussian curve.

Returns:

A normalized Gaussian kernel.

ExportedByMath ConvolutionKerneld eLynx::Math::elxMakeGaussianKernel	(	uint32	iRadius,
		double	iVariance
	)

Make 2D Gaussian kernel.

Parameters:

	iRadius	the kernel width and height.
	iVariance	of the Gaussian curve.

Returns:

A normalized Gaussian kernel.

ExportedByMath ConvolutionKerneld eLynx::Math::elxMakeMeanKernel	(	uint32	iWidth,
		uint32	iHeight
	)

Make 2D mean kernel, this have a smoothing effect.

Parameters:

	iWidth	the kernel width.
	iHeight	the kernel height.

Returns:

A normalized mean kernel, all elements have value 1/(iWidth*iHeight).

ExportedByMath ConvolutionKerneld eLynx::Math::elxMakeMeanRadiusKernel	(	double	iRadius,
		bool	ibCircular = true
	)

Make 2D mean kernel, square or circle mask kernel.

Parameters:

	iRadius	the square or circle radius.
	ibCircular	if true this kernel is circle otherwise is square.

Returns:

A normalized mean kernel.

ExportedByMath ConvolutionKerneld eLynx::Math::elxMakeCircleKernel	(	double	iRadius,
		bool	ibNormalize = false
	)

Make circle mask kernel. Value inside circle of radius iRadius are valuated with 1.0, outside with 0.0.

Parameters:

	iRadius	the circle radius.
	ibNormalize	if true this kernel is equivalent to mean filter, false to use as a mask (mul with another kernel to have impact with radius).

Returns:

A circle mask kernel.

ExportedByMath ConvolutionKerneld eLynx::Math::elxMakeSmooth3x3d

(

)

ExportedByMath ConvolutionKerneld eLynx::Math::elxMakeCone5x5d

(

)

ExportedByMath ConvolutionKerneld eLynx::Math::elxMakePyramidal5x5d

(

)

ExportedByMath ConvolutionKerneld eLynx::Math::elxMakeLowpass3x3d

(

double

iAlpha

)

ExportedByMath ConvolutionKerneld eLynx::Math::elxMakeSharpenSoft3x3d

(

)

ExportedByMath ConvolutionKerneld eLynx::Math::elxMakeSharpenSoft5x5d

(

)

ExportedByMath ConvolutionKerneld eLynx::Math::elxMakeSharpenSmooth3x3d

(

double

iAlpha

)

ExportedByMath ConvolutionKerneld eLynx::Math::elxMakeSharpenMore3x3d

(

double

iAlpha = 1.0

)

ExportedByMath ConvolutionKerneld eLynx::Math::elxMakeSharpen

(

double

iRadius

)

ExportedByMath ConvolutionKerneld eLynx::Math::elxMakeEmboss3x3d

(

double

iDegrees = 0.0

)

ExportedByMath ConvolutionKerneld eLynx::Math::elxMakePixelDifference3x3d

(

)

ExportedByMath ConvolutionKerneld eLynx::Math::elxMakeSeparatedPixelDifference3x3d

(

)

ExportedByMath ConvolutionKerneld eLynx::Math::elxMakeRoberts3x3d

(

)

ExportedByMath ConvolutionKerneld eLynx::Math::elxMakePrewitt3x3d

(

)

ExportedByMath ConvolutionKerneld eLynx::Math::elxMakePrewitt5x5d

(

)

ExportedByMath ConvolutionKerneld eLynx::Math::elxMakeFreiChen3x3d

(

)

ExportedByMath ConvolutionKerneld eLynx::Math::elxMakeSobel3x3d

(

)

ExportedByMath ConvolutionKerneld eLynx::Math::elxMakeSobel5x5d

(

)

ExportedByMath ConvolutionKerneld eLynx::Math::elxMakeSobelNxNd

(

uint32

iSize = 3

)

ExportedByMath ConvolutionKerneld eLynx::Math::elxMakeRobinson5x5d

(

)

ExportedByMath ConvolutionKerneld eLynx::Math::elxMakeLaplacian3x3d

(

)

ExportedByMath ConvolutionKerneld eLynx::Math::elxMakeLaplacian3x3d

(

double

iAlpha

)

ExportedByMath ConvolutionKerneld eLynx::Math::elxMakeLaplacian

(

double

iRadius

)

ExportedByMath ConvolutionKerneld eLynx::Math::elxMakeLoG	(	double	iRadius,
		double	iVariance
	)

ExportedByMath ConvolutionKerneld eLynx::Math::elxMakeMarrHildreth3x3d

(

)

ExportedByMath ConvolutionKerneld eLynx::Math::elxMakeKirsch3x3d

(

)

ExportedByMath ConvolutionKerneld eLynx::Math::elxMakeKirsch5x5d

(

)

template<typename T >

const T& eLynx::Math::elxMin	(	const T &	iA,
		const T &	iB
	)			[inline]

Minimum of two T values.

Parameters:

	iA	A T value.
	iB	A T value.

Returns:

The minimum in list iA,iB.

template<typename T >

const T& eLynx::Math::elxMin	(	const T &	iA,
		const T &	iB,
		const T &	iC
	)			[inline]

Minimum of tree T values.

Parameters:

	iA	A T value.
	iB	A T value.
	iC	A T value.

Returns:

The minimum in list iA,iB,iC.

template<typename T >

const T& eLynx::Math::elxMin	(	const T &	iA,
		const T &	iB,
		const T &	iC,
		const T &	iD
	)			[inline]

Minimum of for T values.

Parameters:

	iA	A T value.
	iB	A T value.
	iC	A T value.
	iD	A T value.

Returns:

The minimum in list iA,iB,iC,iD.

template<typename T >

const T& eLynx::Math::elxMin	(	const T &	iA,
		const T &	iB,
		const T &	iC,
		const T &	iD,
		const T &	iE
	)			[inline]

Minimum of for T values.

Parameters:

	iA	A T value.
	iB	A T value.
	iC	A T value.
	iD	A T value.
	iE	A T value.

Returns:

The minimum in list iA,iB,iC,iD,iE.

template<typename T >

const T& eLynx::Math::elxMin	(	const T &	iA,
		const T &	iB,
		const T &	iC,
		const T &	iD,
		const T &	iE,
		const T &	iF
	)			[inline]

Minimum of for T values.

Parameters:

	iA	A T value.
	iB	A T value.
	iC	A T value.
	iD	A T value.
	iE	A T value.
	iF	A T value.

Returns:

The minimum in list iA,iB,iC,iD,iE,iF.

template<typename T >

bool eLynx::Math::elxMin	(	const T *	iprSrc,
		uint32	iSize,
		T &	oMin
	)			[inline]

template<typename T >

bool eLynx::Math::elxMin	(	const T *	iprSrc,
		uint32	iSize,
		uint32	iStep,
		T *	oprMin
	)			[inline]

template<typename T >

T eLynx::Math::elxMin	(	T	iV0,
		T	iV1,
		T	iV2,
		T	iV3,
		T	iV4,
		T	iV5,
		T	iV6,
		T	iV7,
		T	iV8
	)			[inline]

template<typename T >

const T& eLynx::Math::elxMax	(	const T &	iA,
		const T &	iB
	)			[inline]

Maximum of two T values.

Parameters:

	iA	A T value.
	iB	A T value.

Returns:

The maximum in list iA,iB.

template<typename T >

const T& eLynx::Math::elxMax	(	const T &	iA,
		const T &	iB,
		const T &	iC
	)			[inline]

Maximum of two T values.

Parameters:

	iA	A T value.
	iB	A T value.
	iC	A T value.

Returns:

The maximum in list iA,iB,iC.

template<typename T >

const T& eLynx::Math::elxMax	(	const T &	iA,
		const T &	iB,
		const T &	iC,
		const T &	iD
	)			[inline]

Maximum of two T values.

Parameters:

	iA	A T value.
	iB	A T value.
	iC	A T value.
	iD	A T value.

Returns:

The maximum in list iA,iB,iC,iD.

template<typename T >

const T& eLynx::Math::elxMax	(	const T &	iA,
		const T &	iB,
		const T &	iC,
		const T &	iD,
		const T &	iE
	)			[inline]

Maximum of two T values.

Parameters:

	iA	A T value.
	iB	A T value.
	iC	A T value.
	iD	A T value.
	iE	A T value.

Returns:

The maximum in list iA,iB,iC,iD,iE.

template<typename T >

const T& eLynx::Math::elxMax	(	const T &	iA,
		const T &	iB,
		const T &	iC,
		const T &	iD,
		const T &	iE,
		const T &	iF
	)			[inline]

Maximum of two T values.

Parameters:

	iA	A T value.
	iB	A T value.
	iC	A T value.
	iD	A T value.
	iE	A T value.
	iF	A T value.

Returns:

The maximum in list iA,iB,iC,iD,iE,iF.

template<typename T >

bool eLynx::Math::elxMax	(	const T *	iprSrc,
		uint32	iSize,
		T &	oMin
	)			[inline]

template<typename T >

bool eLynx::Math::elxMax	(	const T *	iprSrc,
		uint32	iSize,
		uint32	iStep,
		T *	oprMax
	)			[inline]

template<typename T >

T eLynx::Math::elxMax	(	T	iV0,
		T	iV1,
		T	iV2,
		T	iV3,
		T	iV4,
		T	iV5,
		T	iV6,
		T	iV7,
		T	iV8
	)			[inline]

template<typename T >

bool eLynx::Math::elxMinMax	(	const T *	iprSrc,
		uint32	iSize,
		T &	oMin,
		T &	oMax
	)			[inline]

template<typename T >

bool eLynx::Math::elxMinMax	(	const T *	iprSrc,
		uint32	iSize,
		uint32	iStep,
		T *	oprMin,
		T *	oprMax
	)			[inline]

template<typename T >

T eLynx::Math::elxNeg

(

const T

iValue

)

[inline]

negative

template<typename T >

T eLynx::Math::elxMedian	(	T	iV0,
		T	iV1,
		T	iV2
	)			[inline]

Median of 3 values.

template<typename T >

T eLynx::Math::elxMedian	(	T	iV0,
		T	iV1,
		T	iV2,
		T	iV3
	)			[inline]

Median of 4 values.

template<typename T >

T eLynx::Math::elxMedian	(	T	iV0,
		T	iV1,
		T	iV2,
		T	iV3,
		T	iV4,
		T	iV5,
		T	iV6,
		T	iV7,
		T	iV8
	)			[inline]

Median of 9 values.

template<typename T , typename U >

void eLynx::Math::elxClamp	(	T	iIn,
		U &	oOut
	)			[inline]

template<typename T >

void eLynx::Math::elxClamp	(	T	iInMin,
		T	iInMax,
		T &	oOut
	)			[inline]

template<typename T >

bool eLynx::Math::elxAdd	(	T *	ioprSrc,
		uint32	iSize,
		T	iValue
	)			[inline]

template<typename T >

bool eLynx::Math::elxSub	(	T *	ioprSrc,
		uint32	iSize,
		T	iValue
	)			[inline]

template<typename T >

bool eLynx::Math::elxMul	(	T *	ioprSrc,
		uint32	iSize,
		T	iValue
	)			[inline]

template<typename T >

bool eLynx::Math::elxDiv	(	T *	ioprSrc,
		uint32	iSize,
		T	iValue
	)			[inline]

template<typename T >

bool eLynx::Math::elxDif	(	T *	ioprSrc,
		uint32	iSize,
		T	iValue
	)			[inline]

template<typename T >

bool eLynx::Math::elxAddClamp	(	T *	ioprSrc,
		uint32	iSize,
		T	iValue
	)			[inline]

template<typename T >

bool eLynx::Math::elxSubClamp	(	T *	ioprSrc,
		uint32	iSize,
		T	iValue
	)			[inline]

template<typename T >

bool eLynx::Math::elxMulClamp	(	T *	ioprSrc,
		uint32	iSize,
		double	iValue
	)			[inline]

template<typename T >

bool eLynx::Math::elxDivClamp	(	T *	ioprSrc,
		uint32	iSize,
		double	iValue
	)			[inline]

template<typename T >

bool eLynx::Math::elxAddCycle	(	T *	ioprSrc,
		uint32	iSize,
		T	iValue
	)			[inline]

template<typename T >

bool eLynx::Math::elxSubCycle	(	T *	ioprSrc,
		uint32	iSize,
		T	iValue
	)			[inline]

template<typename T >

bool eLynx::Math::elxMulCycle	(	T *	ioprSrc,
		uint32	iSize,
		double	iValue
	)			[inline]

template<typename T >

bool eLynx::Math::elxDivCycle	(	T *	ioprSrc,
		uint32	iSize,
		double	iValue
	)			[inline]

template<typename T >

bool eLynx::Math::elxAdd	(	T *	ioprSrc,
		uint32	iSize,
		T	iValue,
		EValueAction	iAction
	)			[inline]

template<typename T >

bool eLynx::Math::elxSub	(	T *	ioprSrc,
		uint32	iSize,
		T	iValue,
		EValueAction	iAction
	)			[inline]

template<typename T >

bool eLynx::Math::elxMul	(	T *	ioprSrc,
		uint32	iSize,
		double	iValue,
		EValueAction	iAction
	)			[inline]

template<typename T >

bool eLynx::Math::elxDiv	(	T *	ioprSrc,
		uint32	iSize,
		double	iValue,
		EValueAction	iAction
	)			[inline]

template<typename T >

bool eLynx::Math::elxAdd	(	T *	ioprSrc,
		uint32	iSize,
		double	iValue,
		EValueAction	iAction
	)			[inline]

template<typename T >

bool eLynx::Math::elxSub	(	T *	ioprSrc,
		uint32	iSize,
		double	iValue,
		EValueAction	iAction
	)			[inline]

template<typename T >

bool eLynx::Math::elxAddNorm	(	T *	ioprSrc,
		uint32	iSize,
		double	iValue,
		EValueAction	iAction
	)			[inline]

template<typename T >

bool eLynx::Math::elxSubNorm	(	T *	ioprSrc,
		uint32	iSize,
		double	iValue,
		EValueAction	iAction
	)			[inline]

template<typename T >

bool eLynx::Math::elxMulNorm	(	T *	ioprSrc,
		uint32	iSize,
		double	iValue,
		EValueAction	iAction
	)			[inline]

template<typename T >

bool eLynx::Math::elxDivNorm	(	T *	ioprSrc,
		uint32	iSize,
		double	iValue,
		EValueAction	iAction
	)			[inline]

template<typename T >

bool eLynx::Math::elxNormalize	(	T *	ioprSrc,
		uint32	iSize,
		T	iMin,
		T	iMax
	)			[inline]

template<typename T >

bool eLynx::Math::elxNormalize	(	T *	ioprSrc,
		uint32	iSize,
		const T *	oprMin,
		const T *	oprMax,
		uint32	iChannelMask,
		uint32	iChannelCount
	)			[inline]

template<typename T >

bool eLynx::Math::elxNormalize	(	T *	ioprSrc,
		uint32	iSize
	)			[inline]

template<typename T >

bool eLynx::Math::elxNormalize	(	T *	ioprSrc,
		uint32	iStep,
		uint32	iSize,
		uint32	iChannelMask,
		uint32	iChannelCount
	)			[inline]

template<typename T >

T eLynx::Math::elxSign

(

T

iValue

)

[inline]

Computes the sign of a value.

Ex: elxSign(3.8f) = 1.0f, elxSign(-2.5) = -1.0, elxSign(-5) = -1 .

Parameters:

iValue

the value to get sign.

Returns:

0 for 0, +1 for positive, -1 for negative.

template<typename T >

T eLynx::Math::elxAbs

(

T

iX

)

[inline]

Absolute of value, noted |a|.

Ex: elxAbs(1) = 1, elxAbs(-1) = 1, elxAbs(0) = 0, elxAbs(-2147483648) = -2147483648.

Parameters:

iX

value.

Returns:

|iX| >= 0.

template<typename T >

T eLynx::Math::elxFloor

(

T

iValue

)

[inline]

Returns a value representing the largest integer that is less than or equal to the value.

Ex: elxFloor(4.9f) = 4.0f, elxFloor(-4.9) = -5.0;

Parameters:

iValue

The value.

Returns:

The floored value.

template<typename T >

T eLynx::Math::elxCeil

(

T

iValue

)

[inline]

Returns a value representing the smallest integer that is greater than or equal to the value.

Ex: elxCeil(4.2f) is 5.0f, elxCeil(-4.9) is -4.0;

Parameters:

iValue

The value.

Returns:

The floored value.

template<typename T >

T eLynx::Math::elxRound

(

T

iValue

)

[inline]

Returns a value representing the whole integer nearest to the value.

Ex: elxRound(4.9f) = 5.0f, elxRound(4.2) = 4.0, elxRound(1.5) is 2.0,
elxRound(-1.5) = -2.0, elxRound(-1.2f) = -1.0f, elxRound(20) = 20.

Parameters:

iValue

The value.

Returns:

The rounded value.

template<typename T >

int32 eLynx::Math::elxRint

(

T

iValue

)

[inline]

Returns a int32 value representing the whole integer nearest to the value.

Ex: elxRint(4.9f) = 5, elxRint(4.2) = 4, elxRint(1.5) = 2.

Parameters:

iValue

The value.

Returns:

The int32 rounded value.

template<typename T >

T eLynx::Math::elxMod	(	T	iA,
		T	iB
	)			[inline]

Modulus of values noted m=a [b]. Returns the remainder of a / b such that a = i * b + f, where i is an integer. f has the same sign as a, and the absolute value of f is less than the absolute value of b.

Ex: elxMod(7, 5) = 2, elxMod(7, -5) = 2, elxMod(-7 ,5) = -2, elxMod(-7, -5) = -2.

Parameters:

	iA	A value.
	iB	A value.

Returns:

The value of iA modulus iB.

template<typename T >

T eLynx::Math::elxMean	(	T	iV1,
		T	iV2
	)			[inline]

Computes the mean of two values iV1, iV2.

Parameters:

	iV1	1st value.
	iV2	2nd value.

Returns:

(iV1+iV2)/2.

template<typename T >

T eLynx::Math::elxAbsDiff	(	T	iV1,
		T	iV2
	)			[inline]

Computes absolute difference of iV1, iV2, to be used for unsigned type.

Parameters:

	iV1	1st value.
	iV2	2nd value.

Returns:

|iV1-iV2|.

template<typename T >

bool eLynx::Math::elxIsOdd

(

T

iValue

)

[inline]

Checks if an integer is odd (2n+1).

Ex: elxIsOdd(0)=false, elxIsOdd(1)=true, elxIsOdd(-1)=true.

Parameters:

iValue

integer value.

Returns:

true if integer value is odd, false if it's even.

template<typename T >

bool eLynx::Math::elxIsEven

(

T

iValue

)

[inline]

Checks if an integer is even (2n).

Ex: elxIsEven(0)=true, elxIsEven(1)=false, elxIsEven(-1)=false.

Parameters:

iValue

integer value.

Returns:

true if integer value is even, false if it's odd.

ExportedByMath int32 eLynx::Math::elxHighBit

(

uint32

iVal

)

template<typename T >

T eLynx::Math::elxSqr

(

T

iX

)

[inline]

Computes the square of iX = iX^2 = iX*iX.

Parameters:

iX

value.

Returns:

the squared value.

template<typename T >

T eLynx::Math::elxSqrt

(

T

iX

)

[inline]

Computes the compute the square root of iX.

Parameters:

iX

Nonnegative value whose root is to be computed.

Returns:

iX^1/2.

template<typename T >

T eLynx::Math::elxPow	(	T	iX,
		T	iY
	)			[inline]

Computes computes x raised to the power y.

Parameters:

	iX	the mantissa.
	iY	the exponent.

Returns:

iX^iY.

template<typename T >

T eLynx::Math::elxLog

(

T

iX

)

[inline]

Computes the value of the natural logarithm of argument iX.

Parameters:

iX

value.

Returns:

the natural logarithm of iX, ln(x).

template<typename T >

T eLynx::Math::elxLog10

(

T

iX

)

[inline]

Computes computes the value of the logarithm of argument iX to base 10.

Parameters:

iX

value.

Returns:

the logarithm to base 10 of iX, log10(x).

template<typename T >

T eLynx::Math::elxExp

(

T

iX

)

[inline]

Computes the exponent of iX.

Parameters:

iX

value.

Returns:

the exponent of iX, exp(x) = e^x.

template<typename T >

bool eLynx::Math::elxIsPow2

(

T

iValue

)

[inline]

Returns if a number is a power of 2, for value=0 return false.

Parameters:

iValue

integer value.

Returns:

true if value is a power of two, false otherwise.

template<typename T >

T eLynx::Math::elxNextPow2

(

T

iValue

)

[inline]

Returns the next power of 2 lower of input value, return value if value is power of two.

Parameters:

iValue

integer value.

Returns:

The next power of 2 lower or equal.

template<typename T >

T eLynx::Math::elxDeg2Rad

(

T

iDegrees

)

[inline]

Converts a degree angle in radians angle unit.

Parameters:

iDegrees

The degree angle.

Returns:

The radian angle.

template<typename T >

T eLynx::Math::elxRad2Deg

(

T

iRadian

)

[inline]

Converts a radian angle in degrees angle unit.

Parameters:

iRadian

The radian angle.

Returns:

The degree angle.

template<typename T >

T eLynx::Math::elxCos

(

T

iRadian

)

[inline]

Computes the cosine of iX angle in radians.

Parameters:

iRadian

angle in radians.

Returns:

the cosine of iRadian.

template<typename T >

T eLynx::Math::elxSin

(

T

iRadian

)

[inline]

Computes the sine of iX angle in radians.

Parameters:

iRadian

angle in radians.

Returns:

the sine of iRadian.

template<typename T >

T eLynx::Math::elxTan

(

T

iRadian

)

[inline]

Computes the tangent of angle in radians.

Parameters:

iRadian

Angle in radians.

Returns:

The tangent of angle.

template<typename T >

T eLynx::Math::elxArccos

(

T

iX

)

[inline]

Computes the arccosine in radians.

Parameters:

iX

Value between 0 and 1 whose arccosine is to be calculated.

Returns:

the arccossine, if argument is less than 1.0 or greater than 1.0, returns an indefinite double_MAX.

template<typename T >

T eLynx::Math::elxArcsin

(

T

iX

)

[inline]

Computes the arcsine in radians.

Parameters:

iX

Value between 1.0 and 1.0 whose arcsine is to be calculated.

Returns:

the arcsine, if argument is less than 1.0 or greater than 1.0, returns an indefinite double_MAX.

template<typename T >

T eLynx::Math::elxArctan

(

T

iYoX

)

[inline]

Computes the arctangent in radians.

Parameters:

iYoX

Value between 1.0 and 1.0 whose arctangent is to be calculated.

Returns:

the arctangent, if argument is less than 1.0 or greater than 1.0, returns an indefinite double_MAX.

template<typename T >

T eLynx::Math::elxGetGaussianVariance

(

T

iRadius

)

[inline]

Get variance from a given radius.

template<typename T >

T eLynx::Math::elxGaussian	(	T	iX,
		T	iSigma
	)			[inline]

1D Gaussian curve.

template<typename T >

T eLynx::Math::elxGaussian	(	T	iX,
		T	iY,
		T	iSigma
	)			[inline]

2D Gaussian curve.

template<typename T >

T eLynx::Math::elxMeanGaussian	(	T	iX,
		T	iSigma
	)			[inline]

template<typename T >

T eLynx::Math::elxDoG	(	T	iX,
		T	iSigma
	)			[inline]

First Derivative of Gaussian.

template<typename T >

T eLynx::Math::elxLoG	(	T	iX,
		T	iSigma
	)			[inline]

Laplacian of Gaussian.

template<typename T >

T eLynx::Math::elxLoG	(	T	iX,
		T	iY,
		T	iSigma
	)			[inline]

2D Laplacian of Gaussian curve.

template<typename T >

T eLynx::Math::elxSmooth	(	T	iMin,
		T	iMax,
		T	iValue
	)			[inline]

Smoothly interpolate value in range [iMin, iMax] to [0, 1]. To be used only with float and double resolution.

Parameters:

	iMin	The minimum of input range value.
	iMax	The maximum of input range value.
	iValue	the input value to smooth between 0 and 1.

Returns:

The smoothed value.

ExportedByMath double eLynx::Math::elxMidtone	(	double	iX,
		double	iMidtone
	)

ExportedByMath void eLynx::Math::elxRandomReset

(

)

Sets the starting point for generating a series of pseudorandom. It seeds the pseudorandom-number generator with current time.

ExportedByMath void eLynx::Math::elxRandomReset

(

int32

iSeed

)

ExportedByMath int32 eLynx::Math::elxRandomSign

(

)

Returns int32 a pseudorandom sign, ie +1 or -1. Use the elxRandomReset() function to seed the pseudorandom-number generator before calling.

Returns:

A pseudorandom int32 sign, +1 or -1.

ExportedByMath double eLynx::Math::elxRandom

(

)

template<typename T >

T eLynx::Math::elxRandom

(

T

iMax

)

[inline]

template<typename T >

T eLynx::Math::elxRandom	(	T	iMin,
		T	iMax
	)			[inline]

template<typename T >

bool eLynx::Math::elxApplyRamp	(	const Ramp< T > &	iRamp,
		T *	iprSrc,
		size_t	iSize,
		uint32	iChannelCount,
		uint32	iChannelMask
	)			[inline]

template<typename T >

bool eLynx::Math::elxApplyRampFast	(	const Ramp< T > &	iRamp,
		T *	iprSrc,
		size_t	iSize,
		uint32	iChannelCount,
		uint32	iChannelMask
	)			[inline]

template<typename T >

bool eLynx::Math::elxApplyRamp	(	const Ramp< T > &	iRamp0,
		const Ramp< T > &	iRamp1,
		T *	iprSrc,
		size_t	iSize,
		uint32	iChannelMask
	)			[inline]

template<typename T >

bool eLynx::Math::elxApplyRampFast	(	const Ramp< T > &	iRamp0,
		const Ramp< T > &	iRamp1,
		T *	iprSrc,
		size_t	iSize,
		uint32	iChannelMask
	)			[inline]

template<typename T >

bool eLynx::Math::elxApplyRamp	(	const Ramp< T > &	iRamp0,
		const Ramp< T > &	iRamp1,
		const Ramp< T > &	iRamp2,
		T *	iprSrc,
		size_t	iSize,
		uint32	iChannelMask
	)			[inline]

template<typename T >

bool eLynx::Math::elxApplyRampFast	(	const Ramp< T > &	iRamp0,
		const Ramp< T > &	iRamp1,
		const Ramp< T > &	iRamp2,
		T *	iprSrc,
		size_t	iSize,
		uint32	iChannelMask
	)			[inline]

eLynx::Math::DEFINE_RESAMPLE_FILTER

(

Box

)

eLynx::Math::DEFINE_RESAMPLE_FILTER

(

Triangle

)

eLynx::Math::DEFINE_RESAMPLE_FILTER

(

Hermite

)

eLynx::Math::DEFINE_RESAMPLE_FILTER

(

Bell

)

eLynx::Math::DEFINE_RESAMPLE_FILTER

(

CubicBSpline

)

eLynx::Math::DEFINE_RESAMPLE_FILTER

(

Lanczos3

)

eLynx::Math::DEFINE_RESAMPLE_FILTER

(

Mitchell

)

eLynx::Math::DEFINE_RESAMPLE_FILTER

(

Cosine

)

eLynx::Math::DEFINE_RESAMPLE_FILTER

(

CatmullRom

)

eLynx::Math::DEFINE_RESAMPLE_FILTER

(

Quadratic

)

eLynx::Math::DEFINE_RESAMPLE_FILTER

(

CubicConvolution

)

eLynx::Math::DEFINE_RESAMPLE_FILTER

(

Lanczos5

)

eLynx::Math::DEFINE_RESAMPLE_FILTER

(

Lanczos8

)

eLynx::Math::DEFINE_RESAMPLE_FILTER

(

BlackmanHarris

)

ExportedByMath const char* eLynx::Math::elxToString

(

EResampleFilter

iFilter

)

Return the string name of the resample filter function.

Parameters:

iFilter

The requested filter.

Returns:

The string name of the resample filter function.

ExportedByMath const IResampleFilter& eLynx::Math::elxGetResampleFilter

(

EResampleFilter

iFilter

)

Get resample filter from enum.

Parameters:

iFilter

The requested filter.

Returns:

Implementation of IResampleFilter for the given enum.