Samples\Math\MathUtilities.py

# Copyright 2009 Autodesk, Inc.  All rights reserved.
# Use of this software is subject to the terms of the Autodesk license agreement 
# provided at the time of installation or download, or which otherwise accompanies
# this software in either electronic or hard copy form.
#
# Script description:
# Show the global functions for math
#
# Topic: Matrix, T,R,S to Matrix, Matrix to T,R,S, Local/Global conversions, Vector operations,
# Quaternion operations, Vertex operations, Rotation utilities, Miscellaneous utilities
#
 
from pyfbsdk import *
 
lMatrix = FBMatrix()
lMatrixResult = FBMatrix()
 
lVertex = FBVertex()
lVertexResult = FBVertex()
 
lVector4d = FBVector4d()
lVector4dResult = FBVector4d()
 
lVector3d = FBVector3d()
lVector3dResult = FBVector3d()
 
lSVector = FBSVector()
lSVectorResult = FBSVector()
 
lDouble = 1.0
lDoubleResult = 1.0
 
# Matrix
FBMatrixInverse(lMatrixResult,lMatrix)
FBMatrixInverse(lMatrixResult,lMatrix)
FBMatrixTranspose(lMatrixResult,lMatrix)
 
FBMatrixMult(lMatrixResult,lMatrix,lMatrix)
FBVertexMatrixMult(lVertexResult, lMatrix, lVertex)
FBVectorMatrixMult(lVector4d, lMatrix, lVector4d)
 
# T,R,S to Matrix
FBTranslationToMatrix(lMatrixResult, lVector4d)
FBRotationToMatrix(lMatrixResult, lVector3d, FBRotationOrder.kFBXYZ)
FBScalingToMatrix(lMatrixResult, lSVector)
FBTRSToMatrix(lMatrixResult, lVector4d, lVector3d, lSVector)
 
# Matrix to T,R,S
FBMatrixToTranslation(lVector4d, lMatrix)
FBMatrixToRotation(lVector3d, lMatrix, FBRotationOrder.kFBXYZ)
FBMatrixToScaling(lSVector, lMatrix)
FBMatrixToTRS(lVector4d, lVector3d, lSVector, lMatrix)
 
# Quaternion
FBRotationToQuaternion(lVector4d, lVector3d, FBRotationOrder.kFBXYZ)
FBQuaternionToRotation(lVector3d, lVector4d, FBRotationOrder.kFBXYZ)
 
# Local/Global conversions
FBGetLocalMatrix(lMatrixResult, lMatrix, lMatrix)
FBGetGlobalMatrix(lMatrixResult, lMatrix, lMatrix)
FBMatrixOrthogonalize(lMatrix)
 
# Vector operations
FBAdd(lVector4dResult, lVector4d, lVector4d)
FBSub(lVector4dResult, lVector4d, lVector4d)
FBMult(lVector4dResult, lVector4d, lDouble)
FBMult(lVector4dResult, lVector4d, lVector4d)
FBMult(lMatrixResult, lMatrix, lSVector)
lDoubleResult = FBDot(lVector4d, lVector4d)
lDoubleResult = FBLength(lVector4d)
 
# Quaternion operations
FBQAdd(lVector4dResult, lVector4d, lVector4d)
FBQSub(lVector4dResult, lVector4d, lVector4d)
FBQMult(lVector4dResult, lVector4d, lDouble)
FBQMult(lVector4dResult, lVector4d, lVector4d)
lDoubleResult = FBQDot(lVector4d, lVector4d)
lDoubleResult = FBQLength(lVector4d)
 
# Vertex operations
lDoubleResult = FBLength(lVertex)
 
# Rotation utilities
FBInterpolateRotation(lVector3dResult, lVector3d, lVector3d, lDouble)
FBInterpolateRotation(lVector4dResult, lVector4d, lVector4d, lDouble)
FBGetContinuousRotation(lVector3dResult, lVector3d, lVector3d)
 
# Miscellaneous utilities
FBClamp(lDoubleResult, lDouble, lDouble)
 
print(lMatrix)
print(lMatrixResult)
print(lVertex)
print(lVertexResult)
print(lVector4d)
print(lVector4dResult)
print(lVector3d)
print(lVector3dResult)
print(lSVector)
print(lSVectorResult)
print(lDouble)
print(lSVectorResult)