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//===== Copyright � 1996-2005, Valve Corporation, All rights reserved. ======//
//
// Purpose: Random number generator
//
// $Workfile: $
// $NoKeywords: $
//===========================================================================//
#include "vstdlib/random.h"
#include <math.h>
#include "dbg.h"
#include "tier0/memdbgon.h"
#define IA 16807
#define IM 2147483647
#define IQ 127773
#define IR 2836
#define NDIV (1+(IM-1)/NTAB)
#define MAX_RANDOM_RANGE 0x7FFFFFFFUL
// fran1 -- return a random floating-point number on the interval [0,1)
//
#define AM (1.0/IM)
#define EPS 1.2e-7
#define RNMX (1.0-EPS)
//-----------------------------------------------------------------------------
// globals
//-----------------------------------------------------------------------------
static CUniformRandomStream s_UniformStream; static CGaussianRandomStream s_GaussianStream; static IUniformRandomStream *s_pUniformStream = &s_UniformStream;
//-----------------------------------------------------------------------------
// Installs a global random number generator, which will affect the Random functions above
//-----------------------------------------------------------------------------
void InstallUniformRandomStream( IUniformRandomStream *pStream ) { s_pUniformStream = pStream ? pStream : &s_UniformStream; }
//-----------------------------------------------------------------------------
// A couple of convenience functions to access the library's global uniform stream
//-----------------------------------------------------------------------------
void RandomSeed( int iSeed ) { s_pUniformStream->SetSeed( iSeed ); }
float RandomFloat( float flMinVal, float flMaxVal ) { return s_pUniformStream->RandomFloat( flMinVal, flMaxVal ); }
float RandomFloatExp( float flMinVal, float flMaxVal, float flExponent ) { return s_pUniformStream->RandomFloatExp( flMinVal, flMaxVal, flExponent ); }
int RandomInt( int iMinVal, int iMaxVal ) { return s_pUniformStream->RandomInt( iMinVal, iMaxVal ); }
float RandomGaussianFloat( float flMean, float flStdDev ) { return s_GaussianStream.RandomFloat( flMean, flStdDev ); }
//-----------------------------------------------------------------------------
//
// Implementation of the uniform random number stream
//
//-----------------------------------------------------------------------------
CUniformRandomStream::CUniformRandomStream() { SetSeed(0); }
void CUniformRandomStream::SetSeed( int iSeed ) { AUTO_LOCK( m_mutex ); m_idum = ( ( iSeed < 0 ) ? iSeed : -iSeed ); m_iy = 0; }
int CUniformRandomStream::GenerateRandomNumber() { AUTO_LOCK( m_mutex ); int j; int k; if (m_idum <= 0 || !m_iy) { if (-(m_idum) < 1) m_idum=1; else m_idum = -(m_idum);
for ( j=NTAB+7; j>=0; j--) { k = (m_idum)/IQ; m_idum = IA*(m_idum-k*IQ)-IR*k; if (m_idum < 0) m_idum += IM; if (j < NTAB) m_iv[j] = m_idum; } m_iy=m_iv[0]; } k=(m_idum)/IQ; m_idum=IA*(m_idum-k*IQ)-IR*k; if (m_idum < 0) m_idum += IM; j=m_iy/NDIV;
// We're seeing some strange memory corruption in the contents of s_pUniformStream.
// Perhaps it's being caused by something writing past the end of this array?
// Bounds-check in release to see if that's the case.
if (j >= NTAB || j < 0) { DebuggerBreakIfDebugging(); Warning("CUniformRandomStream had an array overrun: tried to write to element %d of 0..31. Contact Tom or Elan.\n", j); // Ensure that NTAB is a power of two.
COMPILE_TIME_ASSERT( ( NTAB & ( NTAB - 1 ) ) == 0 ); // Clamp j.
j &= NTAB - 1; }
m_iy=m_iv[j]; m_iv[j] = m_idum;
return m_iy; }
float CUniformRandomStream::RandomFloat( float flLow, float flHigh ) { // float in [0,1)
float fl = AM * GenerateRandomNumber(); if (fl > RNMX) { fl = RNMX; } return (fl * ( flHigh - flLow ) ) + flLow; // float in [low,high)
}
float CUniformRandomStream::RandomFloatExp( float flMinVal, float flMaxVal, float flExponent ) { // float in [0,1)
float fl = AM * GenerateRandomNumber(); if (fl > RNMX) { fl = RNMX; } if ( flExponent != 1.0f ) { fl = powf( fl, flExponent ); } return (fl * ( flMaxVal - flMinVal ) ) + flMinVal; // float in [low,high)
}
int CUniformRandomStream::RandomInt( int iLow, int iHigh ) { //ASSERT(lLow <= lHigh);
unsigned int maxAcceptable; unsigned int x = iHigh-iLow+1; unsigned int n; if (x <= 1 || MAX_RANDOM_RANGE < x-1) { return iLow; }
// The following maps a uniform distribution on the interval [0,MAX_RANDOM_RANGE]
// to a smaller, client-specified range of [0,x-1] in a way that doesn't bias
// the uniform distribution unfavorably. Even for a worst case x, the loop is
// guaranteed to be taken no more than half the time, so for that worst case x,
// the average number of times through the loop is 2. For cases where x is
// much smaller than MAX_RANDOM_RANGE, the average number of times through the
// loop is very close to 1.
//
maxAcceptable = MAX_RANDOM_RANGE - ((MAX_RANDOM_RANGE+1) % x ); do { n = GenerateRandomNumber(); } while (n > maxAcceptable);
return iLow + (n % x); }
//-----------------------------------------------------------------------------
//
// Implementation of the gaussian random number stream
// We're gonna use the Box-Muller method (which actually generates 2
// gaussian-distributed numbers at once)
//
//-----------------------------------------------------------------------------
CGaussianRandomStream::CGaussianRandomStream( IUniformRandomStream *pUniformStream ) { AttachToStream( pUniformStream ); }
//-----------------------------------------------------------------------------
// Attaches to a random uniform stream
//-----------------------------------------------------------------------------
void CGaussianRandomStream::AttachToStream( IUniformRandomStream *pUniformStream ) { AUTO_LOCK( m_mutex ); m_pUniformStream = pUniformStream; m_bHaveValue = false; }
//-----------------------------------------------------------------------------
// Generates random numbers
//-----------------------------------------------------------------------------
float CGaussianRandomStream::RandomFloat( float flMean, float flStdDev ) { AUTO_LOCK( m_mutex ); IUniformRandomStream *pUniformStream = m_pUniformStream ? m_pUniformStream : s_pUniformStream; float fac,rsq,v1,v2;
if (!m_bHaveValue) { // Pick 2 random #s from -1 to 1
// Make sure they lie inside the unit circle. If they don't, try again
do { v1 = 2.0f * pUniformStream->RandomFloat() - 1.0f; v2 = 2.0f * pUniformStream->RandomFloat() - 1.0f; rsq = v1*v1 + v2*v2; } while ((rsq > 1.0f) || (rsq == 0.0f));
// The box-muller transformation to get the two gaussian numbers
fac = sqrtf( -2.0f * log(rsq) / rsq );
// Store off one value for later use
m_flRandomValue = v1 * fac; m_bHaveValue = true;
return flStdDev * (v2 * fac) + flMean; } else { m_bHaveValue = false; return flStdDev * m_flRandomValue + flMean; } }
//-----------------------------------------------------------------------------
// Creates a histogram (for testing)
//-----------------------------------------------------------------------------
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