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10/28/2024 06:50:42 AM
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Iex.h
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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
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ImathNamespace.h
4.38 KB
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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
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ImfAttribute.h
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ImfB44Compressor.h
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ImfBoxAttribute.h
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ImfCRgbaFile.h
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ImfChannelList.h
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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
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ImfConvert.h
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ImfDeepCompositing.h
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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
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ImfIO.h
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ImfInputFile.h
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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
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ImfLineOrderAttribute.h
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ImfLut.h
5.12 KB
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ImfMatrixAttribute.h
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ImfMisc.h
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ImfMultiPartInputFile.h
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ImfMultiPartOutputFile.h
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ImfMultiView.h
6.29 KB
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ImfName.h
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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
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ImfPartHelper.h
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ImfPartType.h
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ImfPixelType.h
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ImfPreviewImage.h
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ImfPreviewImageAttribute.h
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ImfRational.h
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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
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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: ImathRandom.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_IMATHRANDOM_H #define INCLUDED_IMATHRANDOM_H //----------------------------------------------------------------------------- // // Generators for uniformly distributed pseudo-random numbers and // functions that use those generators to generate numbers with // non-uniform distributions: // // class Rand32 // class Rand48 // solidSphereRand() // hollowSphereRand() // gaussRand() // gaussSphereRand() // // Note: class Rand48() calls erand48() and nrand48(), which are not // available on all operating systems. For compatibility we include // our own versions of erand48() and nrand48(). Our functions have // been reverse-engineered from the corresponding Unix/Linux man page. // //----------------------------------------------------------------------------- #include "ImathNamespace.h" #include "ImathExport.h" #include <stdlib.h> #include <math.h> IMATH_INTERNAL_NAMESPACE_HEADER_ENTER //----------------------------------------------- // Fast random-number generator that generates // a uniformly distributed sequence with a period // length of 2^32. //----------------------------------------------- class IMATH_EXPORT Rand32 { public: //------------ // Constructor //------------ Rand32 (unsigned long int seed = 0); //-------------------------------- // Re-initialize with a given seed //-------------------------------- void init (unsigned long int seed); //---------------------------------------------------------- // Get the next value in the sequence (range: [false, true]) //---------------------------------------------------------- bool nextb (); //--------------------------------------------------------------- // Get the next value in the sequence (range: [0 ... 0xffffffff]) //--------------------------------------------------------------- unsigned long int nexti (); //------------------------------------------------------ // Get the next value in the sequence (range: [0 ... 1[) //------------------------------------------------------ float nextf (); //------------------------------------------------------------------- // Get the next value in the sequence (range [rangeMin ... rangeMax[) //------------------------------------------------------------------- float nextf (float rangeMin, float rangeMax); private: void next (); unsigned long int _state; }; //-------------------------------------------------------- // Random-number generator based on the C Standard Library // functions erand48(), nrand48() & company; generates a // uniformly distributed sequence. //-------------------------------------------------------- class Rand48 { public: //------------ // Constructor //------------ Rand48 (unsigned long int seed = 0); //-------------------------------- // Re-initialize with a given seed //-------------------------------- void init (unsigned long int seed); //---------------------------------------------------------- // Get the next value in the sequence (range: [false, true]) //---------------------------------------------------------- bool nextb (); //--------------------------------------------------------------- // Get the next value in the sequence (range: [0 ... 0x7fffffff]) //--------------------------------------------------------------- long int nexti (); //------------------------------------------------------ // Get the next value in the sequence (range: [0 ... 1[) //------------------------------------------------------ double nextf (); //------------------------------------------------------------------- // Get the next value in the sequence (range [rangeMin ... rangeMax[) //------------------------------------------------------------------- double nextf (double rangeMin, double rangeMax); private: unsigned short int _state[3]; }; //------------------------------------------------------------ // Return random points uniformly distributed in a sphere with // radius 1 around the origin (distance from origin <= 1). //------------------------------------------------------------ template <class Vec, class Rand> Vec solidSphereRand (Rand &rand); //------------------------------------------------------------- // Return random points uniformly distributed on the surface of // a sphere with radius 1 around the origin. //------------------------------------------------------------- template <class Vec, class Rand> Vec hollowSphereRand (Rand &rand); //----------------------------------------------- // Return random numbers with a normal (Gaussian) // distribution with zero mean and unit variance. //----------------------------------------------- template <class Rand> float gaussRand (Rand &rand); //---------------------------------------------------- // Return random points whose distance from the origin // has a normal (Gaussian) distribution with zero mean // and unit variance. //---------------------------------------------------- template <class Vec, class Rand> Vec gaussSphereRand (Rand &rand); //--------------------------------- // erand48(), nrand48() and friends //--------------------------------- IMATH_EXPORT double erand48 (unsigned short state[3]); IMATH_EXPORT double drand48 (); IMATH_EXPORT long int nrand48 (unsigned short state[3]); IMATH_EXPORT long int lrand48 (); IMATH_EXPORT void srand48 (long int seed); //--------------- // Implementation //--------------- inline void Rand32::init (unsigned long int seed) { _state = (seed * 0xa5a573a5L) ^ 0x5a5a5a5aL; } inline Rand32::Rand32 (unsigned long int seed) { init (seed); } inline void Rand32::next () { _state = 1664525L * _state + 1013904223L; } inline bool Rand32::nextb () { next (); // Return the 31st (most significant) bit, by and-ing with 2 ^ 31. return !!(_state & 2147483648UL); } inline unsigned long int Rand32::nexti () { next (); return _state & 0xffffffff; } inline float Rand32::nextf (float rangeMin, float rangeMax) { float f = nextf(); return rangeMin * (1 - f) + rangeMax * f; } inline void Rand48::init (unsigned long int seed) { seed = (seed * 0xa5a573a5L) ^ 0x5a5a5a5aL; _state[0] = (unsigned short int) (seed & 0xFFFF); _state[1] = (unsigned short int) ((seed >> 16) & 0xFFFF); _state[2] = (unsigned short int) (seed & 0xFFFF); } inline Rand48::Rand48 (unsigned long int seed) { init (seed); } inline bool Rand48::nextb () { return nrand48 (_state) & 1; } inline long int Rand48::nexti () { return nrand48 (_state); } inline double Rand48::nextf () { return erand48 (_state); } inline double Rand48::nextf (double rangeMin, double rangeMax) { double f = nextf(); return rangeMin * (1 - f) + rangeMax * f; } template <class Vec, class Rand> Vec solidSphereRand (Rand &rand) { Vec v; do { for (unsigned int i = 0; i < Vec::dimensions(); i++) v[i] = (typename Vec::BaseType) rand.nextf (-1, 1); } while (v.length2() > 1); return v; } template <class Vec, class Rand> Vec hollowSphereRand (Rand &rand) { Vec v; typename Vec::BaseType length; do { for (unsigned int i = 0; i < Vec::dimensions(); i++) v[i] = (typename Vec::BaseType) rand.nextf (-1, 1); length = v.length(); } while (length > 1 || length == 0); return v / length; } template <class Rand> float gaussRand (Rand &rand) { float x; // Note: to avoid numerical problems with very small float y; // numbers, we make these variables singe-precision float length2; // floats, but later we call the double-precision log() // and sqrt() functions instead of logf() and sqrtf(). do { x = float (rand.nextf (-1, 1)); y = float (rand.nextf (-1, 1)); length2 = x * x + y * y; } while (length2 >= 1 || length2 == 0); return x * sqrt (-2 * log (double (length2)) / length2); } template <class Vec, class Rand> Vec gaussSphereRand (Rand &rand) { return hollowSphereRand <Vec> (rand) * gaussRand (rand); } IMATH_INTERNAL_NAMESPACE_HEADER_EXIT #endif // INCLUDED_IMATHRANDOM_H