TVMathLibrary

DESCRIPTION

Singleton class containing method for mathematical calculations.
Contains methods for: vectors, matrices, quaternions, planes and colors.
Learn it, use it, worship it.
Please notice that all vector related methods have basically 4 versions (2D,3D,4D and shot version of 3D). Please add your content to all corresponding pages.

USAGE

VB.NET

'todo

C++

#include "CTVMathLibrary.h"
 
CTVMathLibrary* TVMath = new CTVMathLibrary();
float Angle = TVMath->Direction2Ang(0.5f,0.5f);

NOTES

TVMathLibrary is a singleton.
Common methods like vector addition and subtraction or matrix multiplication are also implemented as operators.

METHODS

Method	Description
ACos	Calculates the ACos of a value
ASin	Calculates the ASin of a value
ATan	Calculates the ATan of a value
ATan2	Calculates the ATan2 given x and y values
Deg2Rad	Converts given angle in Degrees to Radians.
Direction2Ang	Converts direction to angle
GetDistance2D	Calculates the distance between two 2D vectors
GetDistance3D	Calculates the distance between two 3D vectors
GetDistanceVec2D	Calculates the distance between two TV_2DVECTOR vectors
GetDistanceVec3D	Calculates the distance between two TV_3DVECTOR vectors
GetIndex	Short description of GetIndex
GetMousePickVectors	Returns mouse pick vectors for current camera and x,y mouse position
IntersectionXZPlane	Calculates intersection point of a ray and XZ plane
MoveAroundPoint	Calculates position of point moving around specified origin given radius and angles
Project2DPointTo3D	Projects a point from screen coordinates to 3D world
Project3DPointTo2D	Projects a point from 3D world to 2D screen coordinates
Rad2Deg	Converts given angle in Radians to Degrees
SetIndex	Short description of SetIndex
SortVectorList	Short description of SortVectorList
SortVectorList	Short description of SortVectorList
TVColorAdd	Performs color addition
TVColorAdjustContrast	Adjusts color contrast
TVColorAdjustSaturation	Adjusts color saturation
TVColorLerp	Performs color interpolation
TVColorModulate	Perfroms color modulation
TVColorNegative	Calculates ngative color
TVColorScale	Multiplies color by a scalar
TVColorSubtract	Performs color subtraction
TVConvertMatrixToQuaternion	Converts matrix to quaternion
TVConvertQuaternionToMatrix	Convert quaternion to matrix
TVEulerAnglesFromMatrix	Calculates Euler angles from matrix
TVMatrixClipPlaneProjection	Clips projection matrix by plane
TVMatrixDecompose	Decomposes matrix into scale, rotation and translation
TVMatrixIdentity	Creates identity matrix
TVMatrixInverse	Calculates inverse of a matrix
TVMatrixInvertReflectCulling	Short description of TVMatrixInvertReflectCulling
TVMatrixLerp	Interpolates between two matrices
TVMatrixLookAt	Creates transformation matrix from look-at points
TVMatrixMultiply	Performs matrix multiplication
TVMatrixReflect	Calculates transformation matrix for reflection cameras
TVMatrixRotationAxis	Creates rotation matrix given axis and angle
TVMatrixRotationQuaternion	Converts quaternion to matrix
TVMatrixRotationX	Crates rotation matrix for rotation along X axis
TVMatrixRotationY	Crates rotation matrix for rotation along Y axis
TVMatrixRotationYawPitchRoll	Crates rotation matrix from Yar, Pitch and Roll angles
TVMatrixRotationZ	Crates rotation matrix for rotation along X axis
TVMatrixScaling	Creates transformation matrix for scaling
TVMatrixShadow	Creates transformation matrix for shadow placement
TVMatrixTranslation	Creates translation matrix
TVMatrixTranspose	Transposes a matrix
TVPlaneDot	Distance to point (TV_4DVECTOR)
TVPlaneDotCoord	Distance to point (TV_3DVECTOR)
TVPlaneDotNormal	Short description of TVPlaneDotNormal
TVPlaneFromPointNormal	Creates plane from point and normal vector
TVPlaneFromPoints	Creates plane from three points
TVPlaneIntersectLine	Calculates plane-line intersection
TVPlaneNormalize	Normalizes plane coefficients
TVPlaneScale	Scale plane coefficients
TVPlaneTransform	Transform plane by matrix
TVQuaternionBaryCentric	Creates quaternion in barycentric coordinates
TVQuaternionConjugate	Creates conjugate quaternion
TVQuaternionDot	Calculates quaternion dot product
TVQuaternionExp	Calculates quaternion Exp
TVQuaternionIdentity	Creates identity quaternion
TVQuaternionInverse	Inverts quaternion
TVQuaternionLength	Calucates length of quaternion
TVQuaternionLengthSq	Calculates squared length of quaternion
TVQuaternionLerp	Performs linear interpolation of two quaternions
TVQuaternionLn	Calculates quaternion Ln
TVQuaternionMultiply	Multiplies two quaternions
TVQuaternionNormalize	Normalizes quaternion
TVQuaternionRotationAxis	Creates quaternion from axis and angle
TVQuaternionRotationMatrix	Creates quaternion from rotation matrix
TVQuaternionRotationYawPitchRoll	Creates quaternion from Yaw, Pitch and Roll
TVQuaternionSlerp	Performs spherical linear interpolation between two quaternions
TVVec2Add	Adds two TV_2DVECTOR objects to each other
TVVec2BaryCentric	Creates a vector in barycentric coordinates
TVVec2CatmulRom	Performs Catmul-Rom interpolation
TVVec2Distance	Calculates distance between two points
TVVec2Dot	Calculates dot product of two vectors
TVVec2Hermite	Performs hermite interpolation
TVVec2Length	Calculates length of a vector
TVVec2LengthSq	Calculates squared length of a vector
TVVec2Lerp	Performs linear interpolation
TVVec2Maximize	Finds maximum of two vectors
TVVec2Minimize	Finds minimum of two vectors
TVVec2Normalize	Normalizes a vector to unit length
TVVec2Rotate	Rotates vetor using Yaw, Pitch and Roll angles
TVVec2Scale	Scales vector
TVVec2Subtract	Subtracts two vectors
TVVec2Transform	Transforms vector by 3D matrix (returning 4D vector)
TVVec2TransformCoord	Transforms vector by 3D matrix (returning 2D vector)
TVVec2TransformNormal	Short description of TVVec2TransformNormal
TVVec3Add	Calculates the sum of two given 3D vectors
TVVec3BaryCentric	Creates a vector in barycentric coordinates
TVVec3CatmulRom	Performs Catmul-Rom interpolation
TVVec3Cross	Calculates the Cross product of two given 3D vectors
TVVec3Distance	Calculates distance between two points
TVVec3Dot	Calculates the Dot product of two given 3D vectors.
TVVec3Hermite	Performs hermite interpolation
TVVec3Length	Calculates length of a vector
TVVec3LengthSq	Calculates squared length of a vector
TVVec3Lerp	Performs linear interpolation
TVVec3Maximize	Finds maximum of two vectors
TVVec3Minimize	Finds minimum of two vectors
TVVec3MultiplyAdd	Scales a vector and then performs addition
TVVec3Normalize	Normalizes a vector to unit length
TVVec3Rotate	Rotates vetor using Yaw, Pitch and Roll angles
TVVec3Scale	Scales vector
TVVec3Subtract	Subtracts two vectors
TVVec3Transform	Transforms vector by 3D matrix (returning 4D vector)
TVVec3TransformCoord	Transforms vector by 3D matrix (returning 3D vector)
TVVec3TransformNormal	Short description of TVVec3TransformNormal
TVVec4Add	Adds two TV_4DVECTOR objects to each other
TVVec4BaryCentric	Creates a vector in barycentric coordinates
TVVec4CatmulRom	Performs Catmul-Rom interpolation
TVVec4Distance	Calculates distance between two points
TVVec4Dot	Calculates dot product of two vectors
TVVec4Hermite	Performs hermite interpolation
TVVec4Length	Calculates length of a vector
TVVec4LengthSq	Calculates squared length of a vector
TVVec4Lerp	Performs linear interpolation
TVVec4Maximize	Finds maximum of two vectors
TVVec4Minimize	Finds minimum of two vectors
TVVec4Normalize	Normalizes a vector to unit length
TVVec4Rotate	Rotates vetor using Yaw, Pitch and Roll angles
TVVec4Scale	Scales vector
TVVec4Subtract	Subtracts two vectors
TVVec4Transform	Transforms vector by 3D matrix
VAdd	Adds two TV_3DVECTOR objects to each other
VCompare	Compares two vector for equality (by value)
VCompare2	Compares two vector for equality (by value) with error margin
VCrossProduct	Calculates cross product of two vectors
VDotProduct	Calculates dot product of two vectors
VLength	Calculates length of a vector
VModulus	Calculates length of a vector
VMultiply	Scales vector
VNormalize	Normalizes a vector to unit length
VScale	Scales vector
VSubtract	Subtracts two vectors