/usr/include/libwildmagic/Wm5NormalCompression.h is in libwildmagic-dev 5.13-1ubuntu3.
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// Copyright (c) 1998-2014
// Distributed under the Boost Software License, Version 1.0.
// http://www.boost.org/LICENSE_1_0.txt
// http://www.geometrictools.com/License/Boost/LICENSE_1_0.txt
//
// File Version: 5.0.1 (2010/10/01)
#ifndef WM5NORMALCOMPRESSION_H
#define WM5NORMALCOMPRESSION_H
#include "Wm5MathematicsLIB.h"
namespace Wm5
{
// Compress unit-length normal vectors (x,y,z) to 16-bit quantities. 3 bits
// are used to identify the octant containing the vector, the other 13 bits
// are used for the mantissa.
WM5_MATHEMATICS_ITEM void CompressNormal (double x, double y, double z,
unsigned short& index);
WM5_MATHEMATICS_ITEM void UncompressNormal (unsigned short index,
double& x, double& y, double& z);
// An example of how to use the compression. This shows the maximum error is
// about 10-degrees between the original and the compressed-then-uncompressed
// vector.
//
//void TestCompression ()
//{
// const int numSamples = 1024;
// double dotMin = 1.0;
// int xmin = numSamples, yMin = numSamples;
//
// for (int y = 0; y < numSamples; ++y)
// {
// double y0 = y/(double)numSamples;
// for (int x = 0; x < numSamples; ++x)
// {
// double x0 = x/(double)numSamples;
// double z0 = 1.0 - x0*x0 - y0*yY0;
// if (z0 >= 0.0)
// {
// z0 = sqrt(z0);
//
// unsigned short index;
// CompressNormal(x0, y0, z0, index);
// assert(index < 8192);
//
// double x1, y1, z1;
// UncompressNormal(index, x1, y1, z1);
//
// double dot = x0*x1 + y0*y1 + z0*z1;
// if (dot < dotMin)
// {
// dotMin = dot;
// xmin = x;
// yMin = y;
// }
// }
// }
// }
//
// // S = 16384, dotmin = 0.98474228151906 (about 10-degrees error)
//}
}
#endif
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