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10/28/2024 06:50:42 AM
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Iex.h
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04/16/2016 12:51:59 AM
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IexBaseExc.h
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IexErrnoExc.h
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IexExport.h
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IexForward.h
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IexMacros.h
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IexMathExc.h
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IexMathFloatExc.h
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IexMathFpu.h
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IexMathIeeeExc.h
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IexNamespace.h
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IexThrowErrnoExc.h
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IlmBaseConfig.h
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IlmThread.h
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IlmThreadExport.h
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IlmThreadForward.h
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IlmThreadMutex.h
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IlmThreadNamespace.h
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IlmThreadPool.h
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IlmThreadSemaphore.h
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ImathBox.h
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ImathBoxAlgo.h
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ImathColor.h
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ImathColorAlgo.h
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ImathEuler.h
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ImathExc.h
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ImathExport.h
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ImathForward.h
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ImathFrame.h
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ImathFrustum.h
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ImathFrustumTest.h
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ImathFun.h
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ImathGL.h
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ImathGLU.h
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ImathHalfLimits.h
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ImathInt64.h
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ImathInterval.h
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ImathLimits.h
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ImathLine.h
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ImathLineAlgo.h
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ImathMath.h
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ImathMatrix.h
82.42 KB
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ImathMatrixAlgo.h
37.97 KB
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ImathNamespace.h
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ImathPlane.h
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ImathPlatform.h
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ImathQuat.h
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ImathRandom.h
9.84 KB
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ImathRoots.h
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ImathShear.h
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ImathSphere.h
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ImathVec.h
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ImathVecAlgo.h
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ImfAcesFile.h
10.27 KB
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ImfArray.h
6.79 KB
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ImfAttribute.h
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ImfB44Compressor.h
3.67 KB
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ImfBoxAttribute.h
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ImfCRgbaFile.h
12.5 KB
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ImfChannelList.h
11.2 KB
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ImfChannelListAttribute.h
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ImfChromaticities.h
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ImfChromaticitiesAttribute.h
2.74 KB
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ImfCompositeDeepScanLine.h
5.38 KB
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ImfCompression.h
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ImfCompressionAttribute.h
2.71 KB
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ImfConvert.h
3.39 KB
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ImfDeepCompositing.h
5.97 KB
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ImfDeepFrameBuffer.h
8.79 KB
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ImfDeepImageState.h
3.67 KB
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ImfDeepImageStateAttribute.h
2.64 KB
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ImfDeepScanLineInputFile.h
11.01 KB
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ImfDeepScanLineInputPart.h
6.9 KB
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ImfDeepScanLineOutputFile.h
9.37 KB
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ImfDeepScanLineOutputPart.h
6.41 KB
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ImfDeepTiledInputFile.h
16.08 KB
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ImfDeepTiledInputPart.h
13.27 KB
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ImfDeepTiledOutputFile.h
18.1 KB
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ImfDeepTiledOutputPart.h
14.83 KB
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ImfDoubleAttribute.h
2.29 KB
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ImfEnvmap.h
11.29 KB
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ImfEnvmapAttribute.h
2.67 KB
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ImfExport.h
2.11 KB
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ImfFloatAttribute.h
2.26 KB
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ImfForward.h
3.48 KB
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ImfFrameBuffer.h
11.18 KB
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ImfFramesPerSecond.h
3.79 KB
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ImfGenericInputFile.h
2.26 KB
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ImfGenericOutputFile.h
2.44 KB
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ImfHeader.h
19.27 KB
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ImfHuf.h
2.86 KB
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ImfIO.h
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ImfInputFile.h
8.28 KB
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ImfInputPart.h
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ImfInt64.h
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ImfIntAttribute.h
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ImfKeyCode.h
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ImfKeyCodeAttribute.h
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ImfLineOrder.h
2.42 KB
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ImfLineOrderAttribute.h
2.67 KB
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ImfLut.h
5.12 KB
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ImfMatrixAttribute.h
3.65 KB
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ImfMisc.h
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ImfMultiPartInputFile.h
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ImfMultiPartOutputFile.h
4.29 KB
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ImfMultiView.h
6.29 KB
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ImfName.h
3.52 KB
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ImfNamespace.h
4.46 KB
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ImfOpaqueAttribute.h
3.55 KB
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ImfOutputFile.h
9.66 KB
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ImfOutputPart.h
3.04 KB
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ImfPartHelper.h
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ImfPartType.h
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ImfPixelType.h
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ImfPreviewImage.h
4.65 KB
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ImfPreviewImageAttribute.h
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ImfRational.h
3.17 KB
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ImfRationalAttribute.h
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ImfRgba.h
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ImfRgbaFile.h
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ImfRgbaYca.h
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ImfStandardAttributes.h
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ImfStringAttribute.h
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ImfStringVectorAttribute.h
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ImfTestFile.h
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ImfThreading.h
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ImfTileDescription.h
3.13 KB
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ImfTileDescriptionAttribute.h
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ImfTiledInputFile.h
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ImfTiledInputPart.h
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ImfTiledOutputFile.h
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ImfTiledOutputPart.h
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ImfTiledRgbaFile.h
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ImfTimeCode.h
7 KB
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ImfTimeCodeAttribute.h
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ImfVecAttribute.h
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ImfVersion.h
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ImfWav.h
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ImfXdr.h
18.74 KB
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OpenEXRConfig.h
1.8 KB
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half.h
17.22 KB
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halfExport.h
757 bytes
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halfFunction.h
4.83 KB
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halfLimits.h
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Editing: ImathFrame.h
Close
/////////////////////////////////////////////////////////////////////////// // // Copyright (c) 2002-2012, Industrial Light & Magic, a division of Lucas // Digital Ltd. LLC // // All rights reserved. // // Redistribution and use in source and binary forms, with or without // modification, are permitted provided that the following conditions are // met: // * Redistributions of source code must retain the above copyright // notice, this list of conditions and the following disclaimer. // * Redistributions in binary form must reproduce the above // copyright notice, this list of conditions and the following disclaimer // in the documentation and/or other materials provided with the // distribution. // * Neither the name of Industrial Light & Magic nor the names of // its contributors may be used to endorse or promote products derived // from this software without specific prior written permission. // // THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS // "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT // LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR // A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT // OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, // SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT // LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, // DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY // THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT // (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE // OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. // /////////////////////////////////////////////////////////////////////////// #ifndef INCLUDED_IMATHFRAME_H #define INCLUDED_IMATHFRAME_H #include "ImathNamespace.h" IMATH_INTERNAL_NAMESPACE_HEADER_ENTER template<class T> class Vec3; template<class T> class Matrix44; // // These methods compute a set of reference frames, defined by their // transformation matrix, along a curve. It is designed so that the // array of points and the array of matrices used to fetch these routines // don't need to be ordered as the curve. // // A typical usage would be : // // m[0] = IMATH_INTERNAL_NAMESPACE::firstFrame( p[0], p[1], p[2] ); // for( int i = 1; i < n - 1; i++ ) // { // m[i] = IMATH_INTERNAL_NAMESPACE::nextFrame( m[i-1], p[i-1], p[i], t[i-1], t[i] ); // } // m[n-1] = IMATH_INTERNAL_NAMESPACE::lastFrame( m[n-2], p[n-2], p[n-1] ); // // See Graphics Gems I for the underlying algorithm. // template<class T> Matrix44<T> firstFrame( const Vec3<T>&, // First point const Vec3<T>&, // Second point const Vec3<T>& ); // Third point template<class T> Matrix44<T> nextFrame( const Matrix44<T>&, // Previous matrix const Vec3<T>&, // Previous point const Vec3<T>&, // Current point Vec3<T>&, // Previous tangent Vec3<T>& ); // Current tangent template<class T> Matrix44<T> lastFrame( const Matrix44<T>&, // Previous matrix const Vec3<T>&, // Previous point const Vec3<T>& ); // Last point // // firstFrame - Compute the first reference frame along a curve. // // This function returns the transformation matrix to the reference frame // defined by the three points 'pi', 'pj' and 'pk'. Note that if the two // vectors <pi,pj> and <pi,pk> are colinears, an arbitrary twist value will // be choosen. // // Throw 'NullVecExc' if 'pi' and 'pj' are equals. // template<class T> Matrix44<T> firstFrame ( const Vec3<T>& pi, // First point const Vec3<T>& pj, // Second point const Vec3<T>& pk ) // Third point { Vec3<T> t = pj - pi; t.normalizeExc(); Vec3<T> n = t.cross( pk - pi ); n.normalize(); if( n.length() == 0.0f ) { int i = fabs( t[0] ) < fabs( t[1] ) ? 0 : 1; if( fabs( t[2] ) < fabs( t[i] )) i = 2; Vec3<T> v( 0.0, 0.0, 0.0 ); v[i] = 1.0; n = t.cross( v ); n.normalize(); } Vec3<T> b = t.cross( n ); Matrix44<T> M; M[0][0] = t[0]; M[0][1] = t[1]; M[0][2] = t[2]; M[0][3] = 0.0, M[1][0] = n[0]; M[1][1] = n[1]; M[1][2] = n[2]; M[1][3] = 0.0, M[2][0] = b[0]; M[2][1] = b[1]; M[2][2] = b[2]; M[2][3] = 0.0, M[3][0] = pi[0]; M[3][1] = pi[1]; M[3][2] = pi[2]; M[3][3] = 1.0; return M; } // // nextFrame - Compute the next reference frame along a curve. // // This function returns the transformation matrix to the next reference // frame defined by the previously computed transformation matrix and the // new point and tangent vector along the curve. // template<class T> Matrix44<T> nextFrame ( const Matrix44<T>& Mi, // Previous matrix const Vec3<T>& pi, // Previous point const Vec3<T>& pj, // Current point Vec3<T>& ti, // Previous tangent vector Vec3<T>& tj ) // Current tangent vector { Vec3<T> a(0.0, 0.0, 0.0); // Rotation axis. T r = 0.0; // Rotation angle. if( ti.length() != 0.0 && tj.length() != 0.0 ) { ti.normalize(); tj.normalize(); T dot = ti.dot( tj ); // // This is *really* necessary : // if( dot > 1.0 ) dot = 1.0; else if( dot < -1.0 ) dot = -1.0; r = acosf( dot ); a = ti.cross( tj ); } if( a.length() != 0.0 && r != 0.0 ) { Matrix44<T> R; R.setAxisAngle( a, r ); Matrix44<T> Tj; Tj.translate( pj ); Matrix44<T> Ti; Ti.translate( -pi ); return Mi * Ti * R * Tj; } else { Matrix44<T> Tr; Tr.translate( pj - pi ); return Mi * Tr; } } // // lastFrame - Compute the last reference frame along a curve. // // This function returns the transformation matrix to the last reference // frame defined by the previously computed transformation matrix and the // last point along the curve. // template<class T> Matrix44<T> lastFrame ( const Matrix44<T>& Mi, // Previous matrix const Vec3<T>& pi, // Previous point const Vec3<T>& pj ) // Last point { Matrix44<T> Tr; Tr.translate( pj - pi ); return Mi * Tr; } IMATH_INTERNAL_NAMESPACE_HEADER_EXIT #endif // INCLUDED_IMATHFRAME_H