Class MathUtil

Inheritance
Object
MathUtil
Inherited Members
Namespace: g3
Assembly: cs.temp.dll.dll
Syntax
public static class MathUtil

Fields

Deg2Rad

Declaration
public const double Deg2Rad = 0.017453292519943295
Field Value
Type Description
Double

Deg2Radf

Declaration
public const float Deg2Radf = 0.0174532924F
Field Value
Type Description
Single

Epsilon

Declaration
public const double Epsilon = 2.2204460492503131E-16
Field Value
Type Description
Double

Epsilonf

Declaration
public const float Epsilonf = 1.1920929E-07F
Field Value
Type Description
Single

FourPI

Declaration
public const double FourPI = 12.566370614359172
Field Value
Type Description
Double

HalfPI

Declaration
public const double HalfPI = 1.5707963267948966
Field Value
Type Description
Double

HalfPIf

Declaration
public const float HalfPIf = 1.57079637F
Field Value
Type Description
Single

PIf

Declaration
public const float PIf = 3.14159274F
Field Value
Type Description
Single

Rad2Deg

Declaration
public const double Rad2Deg = 57.295779513082323
Field Value
Type Description
Double

Rad2Degf

Declaration
public const float Rad2Degf = 57.29578F
Field Value
Type Description
Single

SqrtThree

Declaration
public const double SqrtThree = 1.7320508075688772
Field Value
Type Description
Double

SqrtTwo

Declaration
public const double SqrtTwo = 1.4142135623730951
Field Value
Type Description
Double

SqrtTwof

Declaration
public const float SqrtTwof = 1.41421354F
Field Value
Type Description
Single

SqrtTwoInv

Declaration
public const double SqrtTwoInv = 0.70710678118654746
Field Value
Type Description
Double

TwoPI

Declaration
public const double TwoPI = 6.2831853071795862
Field Value
Type Description
Double

TwoPIf

Declaration
public const float TwoPIf = 6.28318548F
Field Value
Type Description
Single

ZeroTolerance

Declaration
public const double ZeroTolerance = 1E-08
Field Value
Type Description
Double

ZeroTolerancef

Declaration
public const float ZeroTolerancef = 1E-06F
Field Value
Type Description
Single

Methods

Area(Vector3d, Vector3d, Vector3d)

Declaration
public static double Area(Vector3d v1, Vector3d v2, Vector3d v3)
Parameters
Type Name Description
Vector3d v1
Vector3d v2
Vector3d v3
Returns
Type Description
Double

Area(ref Vector3d, ref Vector3d, ref Vector3d)

Declaration
public static double Area(ref Vector3d v1, ref Vector3d v2, ref Vector3d v3)
Parameters
Type Name Description
Vector3d v1
Vector3d v2
Vector3d v3
Returns
Type Description
Double

AspectRatio(Vector3d, Vector3d, Vector3d)

Declaration
public static double AspectRatio(Vector3d v1, Vector3d v2, Vector3d v3)
Parameters
Type Name Description
Vector3d v1
Vector3d v2
Vector3d v3
Returns
Type Description
Double

AspectRatio(ref Vector3d, ref Vector3d, ref Vector3d)

aspect ratio of triangle

Declaration
public static double AspectRatio(ref Vector3d v1, ref Vector3d v2, ref Vector3d v3)
Parameters
Type Name Description
Vector3d v1
Vector3d v2
Vector3d v3
Returns
Type Description
Double

Atan2Positive(Double, Double)

Declaration
public static double Atan2Positive(double y, double x)
Parameters
Type Name Description
Double y
Double x
Returns
Type Description
Double

BarycentricCoords(Vector2d, Vector2d, Vector2d, Vector2d)

Compute barycentric coordinates/weights of vPoint inside triangle (V0,V1,V2). If point is inside triangle, coords will pe positive and sum to 1. ie if result is a, then vPoint = a.xV0 + a.yV1 + a.z*V2.

Declaration
public static Vector3d BarycentricCoords(Vector2d vPoint, Vector2d V0, Vector2d V1, Vector2d V2)
Parameters
Type Name Description
Vector2d vPoint
Vector2d V0
Vector2d V1
Vector2d V2
Returns
Type Description
Vector3d

BarycentricCoords(Vector3d, Vector3d, Vector3d, Vector3d)

Declaration
public static Vector3d BarycentricCoords(Vector3d vPoint, Vector3d V0, Vector3d V1, Vector3d V2)
Parameters
Type Name Description
Vector3d vPoint
Vector3d V0
Vector3d V1
Vector3d V2
Returns
Type Description
Vector3d

BarycentricCoords(ref Vector3d, ref Vector3d, ref Vector3d, ref Vector3d)

Compute barycentric coordinates/weights of vPoint inside triangle (V0,V1,V2). If point is in triangle plane and inside triangle, coords will be positive and sum to 1. ie if result is a, then vPoint = a.xV0 + a.yV1 + a.z*V2.

Declaration
public static Vector3d BarycentricCoords(ref Vector3d vPoint, ref Vector3d V0, ref Vector3d V1, ref Vector3d V2)
Parameters
Type Name Description
Vector3d vPoint
Vector3d V0
Vector3d V1
Vector3d V2
Returns
Type Description
Vector3d

Clamp(Double, Double, Double)

Declaration
public static double Clamp(double f, double low, double high)
Parameters
Type Name Description
Double f
Double low
Double high
Returns
Type Description
Double

Clamp(Int32, Int32, Int32)

Declaration
public static int Clamp(int f, int low, int high)
Parameters
Type Name Description
Int32 f
Int32 low
Int32 high
Returns
Type Description
Int32

Clamp(Single, Single, Single)

Declaration
public static float Clamp(float f, float low, float high)
Parameters
Type Name Description
Single f
Single low
Single high
Returns
Type Description
Single

Clamp<T>(T, T, T)

Declaration
public static T Clamp<T>(T f, T low, T high)
    where T : IComparable
Parameters
Type Name Description
T f
T low
T high
Returns
Type Description
T
Type Parameters
Name Description
T

ClampAngleDeg(Double, Double, Double)

Declaration
public static double ClampAngleDeg(double theta, double min, double max)
Parameters
Type Name Description
Double theta
Double min
Double max
Returns
Type Description
Double

ClampAngleRad(Double, Double, Double)

Declaration
public static double ClampAngleRad(double theta, double min, double max)
Parameters
Type Name Description
Double theta
Double min
Double max
Returns
Type Description
Double

EpsilonEqual(Double, Double, Double)

Declaration
public static bool EpsilonEqual(double a, double b, double epsilon = 2.2204460492503131E-16)
Parameters
Type Name Description
Double a
Double b
Double epsilon
Returns
Type Description
Boolean

EpsilonEqual(Single, Single, Single)

Declaration
public static bool EpsilonEqual(float a, float b, float epsilon = 1.1920929E-07F)
Parameters
Type Name Description
Single a
Single b
Single epsilon
Returns
Type Description
Boolean

FastNormalArea(ref Vector3d, ref Vector3d, ref Vector3d, out Double)

simultaneously compute triangle normal and area, and only normalize after cross-product, not before (so, fewer normalizes then Normal())

Declaration
public static Vector3d FastNormalArea(ref Vector3d v1, ref Vector3d v2, ref Vector3d v3, out double area)
Parameters
Type Name Description
Vector3d v1
Vector3d v2
Vector3d v3
Double area
Returns
Type Description
Vector3d

FastNormalDirection(ref Vector3d, ref Vector3d, ref Vector3d)

compute vector in direction of triangle normal (cross-product). No normalization.

Declaration
public static Vector3d FastNormalDirection(ref Vector3d v1, ref Vector3d v2, ref Vector3d v3)
Parameters
Type Name Description
Vector3d v1
Vector3d v2
Vector3d v3
Returns
Type Description
Vector3d

The normal direction.

InRange(Double, Double, Double)

Declaration
public static bool InRange(double f, double low, double high)
Parameters
Type Name Description
Double f
Double low
Double high
Returns
Type Description
Boolean

InRange(Int32, Int32, Int32)

Declaration
public static bool InRange(int f, int low, int high)
Parameters
Type Name Description
Int32 f
Int32 low
Int32 high
Returns
Type Description
Boolean

InRange(Single, Single, Single)

Declaration
public static bool InRange(float f, float low, float high)
Parameters
Type Name Description
Single f
Single low
Single high
Returns
Type Description
Boolean

InvSqrt(Double)

Declaration
public static double InvSqrt(double f)
Parameters
Type Name Description
Double f
Returns
Type Description
Double

IsFinite(Double)

Declaration
public static bool IsFinite(double d)
Parameters
Type Name Description
Double d
Returns
Type Description
Boolean

IsFinite(Single)

Declaration
public static bool IsFinite(float d)
Parameters
Type Name Description
Single d
Returns
Type Description
Boolean

IsLeft(Vector2d, Vector2d, Vector2d)

Declaration
public static double IsLeft(Vector2d P0, Vector2d P1, Vector2d P2)
Parameters
Type Name Description
Vector2d P0
Vector2d P1
Vector2d P2
Returns
Type Description
Double

IsLeft(ref Vector2d, ref Vector2d, ref Vector2d)

Declaration
public static double IsLeft(ref Vector2d P0, ref Vector2d P1, ref Vector2d P2)
Parameters
Type Name Description
Vector2d P0
Vector2d P1
Vector2d P2
Returns
Type Description
Double

IsObtuse(Vector3d, Vector3d, Vector3d)

Declaration
public static bool IsObtuse(Vector3d v1, Vector3d v2, Vector3d v3)
Parameters
Type Name Description
Vector3d v1
Vector3d v2
Vector3d v3
Returns
Type Description
Boolean

Lerp(Double, Double, Double)

Declaration
public static double Lerp(double a, double b, double t)
Parameters
Type Name Description
Double a
Double b
Double t
Returns
Type Description
Double

Lerp(Single, Single, Single)

Declaration
public static float Lerp(float a, float b, float t)
Parameters
Type Name Description
Single a
Single b
Single t
Returns
Type Description
Single

LinearRampT(Single, Single, Single)

Declaration
public static float LinearRampT(float R, float deadzoneR, float x)
Parameters
Type Name Description
Single R
Single deadzoneR
Single x
Returns
Type Description
Single

Max(Double, Double, Double)

Declaration
public static double Max(double a, double b, double c)
Parameters
Type Name Description
Double a
Double b
Double c
Returns
Type Description
Double

Max(Int32, Int32, Int32)

Declaration
public static int Max(int a, int b, int c)
Parameters
Type Name Description
Int32 a
Int32 b
Int32 c
Returns
Type Description
Int32

Max(Single, Single, Single)

Declaration
public static float Max(float a, float b, float c)
Parameters
Type Name Description
Single a
Single b
Single c
Returns
Type Description
Single

Min(Double, Double, Double)

Declaration
public static double Min(double a, double b, double c)
Parameters
Type Name Description
Double a
Double b
Double c
Returns
Type Description
Double

Min(Int32, Int32, Int32)

Declaration
public static int Min(int a, int b, int c)
Parameters
Type Name Description
Int32 a
Int32 b
Int32 c
Returns
Type Description
Int32

Min(Single, Single, Single)

Declaration
public static float Min(float a, float b, float c)
Parameters
Type Name Description
Single a
Single b
Single c
Returns
Type Description
Single

MinMax(Double, Double, Double, out Double, out Double)

Declaration
public static void MinMax(double a, double b, double c, out double min, out double max)
Parameters
Type Name Description
Double a
Double b
Double c
Double min
Double max

ModuloClamp(Int32, Int32)

Declaration
public static int ModuloClamp(int f, int N)
Parameters
Type Name Description
Int32 f
Int32 N
Returns
Type Description
Int32

ModuloIteration(Int32, Int32)

Iterate from 0 to (nMax-1) using prime-modulo, so we see every index once, but not in-order

Declaration
public static IEnumerable<int> ModuloIteration(int nMaxExclusive, int nPrime = 31337)
Parameters
Type Name Description
Int32 nMaxExclusive
Int32 nPrime
Returns
Type Description
IEnumerable<Int32>

MostParallelAxis(Frame3f, Vector3f)

Declaration
public static int MostParallelAxis(Frame3f f, Vector3f vDir)
Parameters
Type Name Description
Frame3f f
Vector3f vDir
Returns
Type Description
Int32

Normal(Vector3d, Vector3d, Vector3d)

Declaration
public static Vector3d Normal(Vector3d v1, Vector3d v2, Vector3d v3)
Parameters
Type Name Description
Vector3d v1
Vector3d v2
Vector3d v3
Returns
Type Description
Vector3d

Normal(ref Vector3d, ref Vector3d, ref Vector3d)

Declaration
public static Vector3d Normal(ref Vector3d v1, ref Vector3d v2, ref Vector3d v3)
Parameters
Type Name Description
Vector3d v1
Vector3d v2
Vector3d v3
Returns
Type Description
Vector3d

PlaneAngleD(Vector3d, Vector3d, Int32)

Declaration
public static double PlaneAngleD(Vector3d a, Vector3d b, int nPlaneNormalIdx = 1)
Parameters
Type Name Description
Vector3d a
Vector3d b
Int32 nPlaneNormalIdx
Returns
Type Description
Double

PlaneAngleD(Vector3f, Vector3f, Int32)

Declaration
public static float PlaneAngleD(Vector3f a, Vector3f b, int nPlaneNormalIdx = 1)
Parameters
Type Name Description
Vector3f a
Vector3f b
Int32 nPlaneNormalIdx
Returns
Type Description
Single

PlaneAngleSignedD(Vector2d, Vector2d)

Declaration
public static double PlaneAngleSignedD(Vector2d vFrom, Vector2d vTo)
Parameters
Type Name Description
Vector2d vFrom
Vector2d vTo
Returns
Type Description
Double

PlaneAngleSignedD(Vector2f, Vector2f)

Declaration
public static float PlaneAngleSignedD(Vector2f vFrom, Vector2f vTo)
Parameters
Type Name Description
Vector2f vFrom
Vector2f vTo
Returns
Type Description
Single

PlaneAngleSignedD(Vector3d, Vector3d, Vector3d)

Declaration
public static double PlaneAngleSignedD(Vector3d vFrom, Vector3d vTo, Vector3d planeN)
Parameters
Type Name Description
Vector3d vFrom
Vector3d vTo
Vector3d planeN
Returns
Type Description
Double

PlaneAngleSignedD(Vector3d, Vector3d, Int32)

Declaration
public static double PlaneAngleSignedD(Vector3d vFrom, Vector3d vTo, int nPlaneNormalIdx = 1)
Parameters
Type Name Description
Vector3d vFrom
Vector3d vTo
Int32 nPlaneNormalIdx
Returns
Type Description
Double

PlaneAngleSignedD(Vector3f, Vector3f, Vector3f)

Declaration
public static float PlaneAngleSignedD(Vector3f vFrom, Vector3f vTo, Vector3f planeN)
Parameters
Type Name Description
Vector3f vFrom
Vector3f vTo
Vector3f planeN
Returns
Type Description
Single

PlaneAngleSignedD(Vector3f, Vector3f, Int32)

Declaration
public static float PlaneAngleSignedD(Vector3f vFrom, Vector3f vTo, int nPlaneNormalIdx = 1)
Parameters
Type Name Description
Vector3f vFrom
Vector3f vTo
Int32 nPlaneNormalIdx
Returns
Type Description
Single

PowerOf10(Int32)

Declaration
public static int PowerOf10(int n)
Parameters
Type Name Description
Int32 n
Returns
Type Description
Int32

RangeClamp(Double, Double)

Declaration
public static double RangeClamp(double fValue, double fMinMaxValue)
Parameters
Type Name Description
Double fValue
Double fMinMaxValue
Returns
Type Description
Double

RangeClamp(Single, Single)

Declaration
public static float RangeClamp(float fValue, float fMinMaxValue)
Parameters
Type Name Description
Single fValue
Single fMinMaxValue
Returns
Type Description
Single

SignedClamp(Double, Double)

Declaration
public static double SignedClamp(double f, double fMax)
Parameters
Type Name Description
Double f
Double fMax
Returns
Type Description
Double

SignedClamp(Double, Double, Double)

Declaration
public static double SignedClamp(double f, double fMin, double fMax)
Parameters
Type Name Description
Double f
Double fMin
Double fMax
Returns
Type Description
Double

SignedClamp(Single, Single)

Declaration
public static float SignedClamp(float f, float fMax)
Parameters
Type Name Description
Single f
Single fMax
Returns
Type Description
Single

SignedClamp(Single, Single, Single)

Declaration
public static float SignedClamp(float f, float fMin, float fMax)
Parameters
Type Name Description
Single f
Single fMin
Single fMax
Returns
Type Description
Single

SmoothInterp(Double, Double, Double)

Declaration
public static double SmoothInterp(double a, double b, double t)
Parameters
Type Name Description
Double a
Double b
Double t
Returns
Type Description
Double

SmoothInterp(Single, Single, Single)

Declaration
public static float SmoothInterp(float a, float b, float t)
Parameters
Type Name Description
Single a
Single b
Single t
Returns
Type Description
Single

SmoothRise0To1(Single, Single, Single, Single)

Declaration
public static float SmoothRise0To1(float fX, float yshift, float xZero, float speed)
Parameters
Type Name Description
Single fX
Single yshift
Single xZero
Single speed
Returns
Type Description
Single

SmoothStep(Double, Double, Double)

Declaration
public static double SmoothStep(double a, double b, double t)
Parameters
Type Name Description
Double a
Double b
Double t
Returns
Type Description
Double

SmoothStep(Single, Single, Single)

Declaration
public static float SmoothStep(float a, float b, float t)
Parameters
Type Name Description
Single a
Single b
Single t
Returns
Type Description
Single

SolveQuadratic(Double, Double, Double, out Double, out Double)

Declaration
public static bool SolveQuadratic(double a, double b, double c, out double minT, out double maxT)
Parameters
Type Name Description
Double a
Double b
Double c
Double minT
Double maxT
Returns
Type Description
Boolean

TriSolidAngle(Vector3d, Vector3d, Vector3d, ref Vector3d)

signed winding angle of oriented triangle [a,b,c] wrt point p formula from Jacobson et al 13 http://igl.ethz.ch/projects/winding-number/

Declaration
public static double TriSolidAngle(Vector3d a, Vector3d b, Vector3d c, ref Vector3d p)
Parameters
Type Name Description
Vector3d a
Vector3d b
Vector3d c
Vector3d p
Returns
Type Description
Double

VectorCot(Vector3d, Vector3d)

Declaration
public static double VectorCot(Vector3d v1, Vector3d v2)
Parameters
Type Name Description
Vector3d v1
Vector3d v2
Returns
Type Description
Double

VectorTan(Vector3d, Vector3d)

Declaration
public static double VectorTan(Vector3d v1, Vector3d v2)
Parameters
Type Name Description
Vector3d v1
Vector3d v2
Returns
Type Description
Double

WrapSignedIndex(Int32, Int32)

Declaration
public static int WrapSignedIndex(int val, int mod)
Parameters
Type Name Description
Int32 val
Int32 mod
Returns
Type Description
Int32

WyvillFalloff(Double, Double, Double)

Declaration
public static double WyvillFalloff(double fD, double fInnerRad, double fOuterRad)
Parameters
Type Name Description
Double fD
Double fInnerRad
Double fOuterRad
Returns
Type Description
Double

WyvillFalloff(Single, Single, Single)

Declaration
public static float WyvillFalloff(float fD, float fInnerRad, float fOuterRad)
Parameters
Type Name Description
Single fD
Single fInnerRad
Single fOuterRad
Returns
Type Description
Single

WyvillFalloff01(Double)

Declaration
public static double WyvillFalloff01(double fX)
Parameters
Type Name Description
Double fX
Returns
Type Description
Double

WyvillFalloff01(Single)

Declaration
public static float WyvillFalloff01(float fX)
Parameters
Type Name Description
Single fX
Returns
Type Description
Single

WyvillRise01(Double)

Declaration
public static double WyvillRise01(double fX)
Parameters
Type Name Description
Double fX
Returns
Type Description
Double

WyvillRise01(Single)

Declaration
public static float WyvillRise01(float fX)
Parameters
Type Name Description
Single fX
Returns
Type Description
Single