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+// This code is in the public domain -- castanyo@yahoo.es
+
+#pragma once
+#ifndef NV_MATH_RANDOM_H
+#define NV_MATH_RANDOM_H
+
+#include "nvmath.h"
+#include "nvcore/Utils.h" // nextPowerOfTwo
+
+
+namespace nv
+{
+
+ /// Interface of the random number generators.
+ class Rand
+ {
+ public:
+
+ virtual ~Rand() {}
+
+ enum time_e { Time };
+
+ /// Provide a new seed.
+ virtual void seed( uint s ) { /* empty */ };
+
+ /// Get an integer random number.
+ virtual uint get() = 0;
+
+ /// Get a random number on [0, max] interval.
+ uint getRange( uint max )
+ {
+ if (max == 0) return 0;
+ if (max == NV_UINT32_MAX) return get();
+
+ const uint np2 = nextPowerOfTwo( max+1 ); // @@ This fails if max == NV_UINT32_MAX
+ const uint mask = np2 - 1;
+ uint n;
+ do { n = get() & mask; } while( n > max );
+ return n;
+ }
+
+ /// Random number on [0.0, 1.0] interval.
+ float getFloat()
+ {
+ union
+ {
+ uint32 i;
+ float f;
+ } pun;
+
+ pun.i = 0x3f800000UL | (get() & 0x007fffffUL);
+ return pun.f - 1.0f;
+ }
+
+ float getFloatRange(float min, float max) {
+ return getFloat() * (max - min) + min;
+ }
+
+ /*
+ /// Random number on [0.0, 1.0] interval.
+ double getReal()
+ {
+ return double(get()) * (1.0/4294967295.0); // 2^32-1
+ }
+
+ /// Random number on [0.0, 1.0) interval.
+ double getRealExclusive()
+ {
+ return double(get()) * (1.0/4294967296.0); // 2^32
+ }
+ */
+
+ /// Get the max value of the random number.
+ uint max() const { return NV_UINT32_MAX; }
+
+ // Get a random seed.
+ static uint randomSeed();
+
+ };
+
+
+ /// Very simple random number generator with low storage requirements.
+ class SimpleRand : public Rand
+ {
+ public:
+
+ /// Constructor that uses the current time as the seed.
+ SimpleRand( time_e )
+ {
+ seed(randomSeed());
+ }
+
+ /// Constructor that uses the given seed.
+ SimpleRand( uint s = 0 )
+ {
+ seed(s);
+ }
+
+ /// Set the given seed.
+ virtual void seed( uint s )
+ {
+ current = s;
+ }
+
+ /// Get a random number.
+ virtual uint get()
+ {
+ return current = current * 1103515245 + 12345;
+ }
+
+ private:
+
+ uint current;
+
+ };
+
+
+ /// Mersenne twister random number generator.
+ class MTRand : public Rand
+ {
+ public:
+
+ enum { N = 624 }; // length of state vector
+ enum { M = 397 };
+
+ /// Constructor that uses the current time as the seed.
+ MTRand( time_e )
+ {
+ seed(randomSeed());
+ }
+
+ /// Constructor that uses the given seed.
+ MTRand( uint s = 0 )
+ {
+ seed(s);
+ }
+
+ /// Constructor that uses the given seeds.
+ NVMATH_API MTRand( const uint * seed_array, uint length );
+
+
+ /// Provide a new seed.
+ virtual void seed( uint s )
+ {
+ initialize(s);
+ reload();
+ }
+
+ /// Get a random number between 0 - 65536.
+ virtual uint get()
+ {
+ // Pull a 32-bit integer from the generator state
+ // Every other access function simply transforms the numbers extracted here
+ if( left == 0 ) {
+ reload();
+ }
+ left--;
+
+ uint s1;
+ s1 = *next++;
+ s1 ^= (s1 >> 11);
+ s1 ^= (s1 << 7) & 0x9d2c5680U;
+ s1 ^= (s1 << 15) & 0xefc60000U;
+ return ( s1 ^ (s1 >> 18) );
+ };
+
+
+ private:
+
+ NVMATH_API void initialize( uint32 seed );
+ NVMATH_API void reload();
+
+ uint hiBit( uint u ) const { return u & 0x80000000U; }
+ uint loBit( uint u ) const { return u & 0x00000001U; }
+ uint loBits( uint u ) const { return u & 0x7fffffffU; }
+ uint mixBits( uint u, uint v ) const { return hiBit(u) | loBits(v); }
+ uint twist( uint m, uint s0, uint s1 ) const { return m ^ (mixBits(s0,s1)>>1) ^ ((~loBit(s1)+1) & 0x9908b0dfU); }
+
+ private:
+
+ uint state[N]; // internal state
+ uint * next; // next value to get from state
+ int left; // number of values left before reload needed
+
+ };
+
+
+
+ /** George Marsaglia's random number generator.
+ * Code based on Thatcher Ulrich public domain source code:
+ * http://cvs.sourceforge.net/viewcvs.py/tu-testbed/tu-testbed/base/tu_random.cpp?rev=1.7&view=auto
+ *
+ * PRNG code adapted from the complimentary-multiply-with-carry
+ * code in the article: George Marsaglia, "Seeds for Random Number
+ * Generators", Communications of the ACM, May 2003, Vol 46 No 5,
+ * pp90-93.
+ *
+ * The article says:
+ *
+ * "Any one of the choices for seed table size and multiplier will
+ * provide a RNG that has passed extensive tests of randomness,
+ * particularly those in [3], yet is simple and fast --
+ * approximately 30 million random 32-bit integers per second on a
+ * 850MHz PC. The period is a*b^n, where a is the multiplier, n
+ * the size of the seed table and b=2^32-1. (a is chosen so that
+ * b is a primitive root of the prime a*b^n + 1.)"
+ *
+ * [3] Marsaglia, G., Zaman, A., and Tsang, W. Toward a universal
+ * random number generator. _Statistics and Probability Letters
+ * 8_ (1990), 35-39.
+ */
+ class GMRand : public Rand
+ {
+ public:
+
+ enum { SEED_COUNT = 8 };
+
+ // const uint64 a = 123471786; // for SEED_COUNT=1024
+ // const uint64 a = 123554632; // for SEED_COUNT=512
+ // const uint64 a = 8001634; // for SEED_COUNT=255
+ // const uint64 a = 8007626; // for SEED_COUNT=128
+ // const uint64 a = 647535442; // for SEED_COUNT=64
+ // const uint64 a = 547416522; // for SEED_COUNT=32
+ // const uint64 a = 487198574; // for SEED_COUNT=16
+ // const uint64 a = 716514398U; // for SEED_COUNT=8
+ enum { a = 716514398U };
+
+
+ GMRand( time_e )
+ {
+ seed(randomSeed());
+ }
+
+ GMRand(uint s = 987654321)
+ {
+ seed(s);
+ }
+
+
+ /// Provide a new seed.
+ virtual void seed( uint s )
+ {
+ c = 362436;
+ i = SEED_COUNT - 1;
+
+ for(int i = 0; i < SEED_COUNT; i++) {
+ s = s ^ (s << 13);
+ s = s ^ (s >> 17);
+ s = s ^ (s << 5);
+ Q[i] = s;
+ }
+ }
+
+ /// Get a random number between 0 - 65536.
+ virtual uint get()
+ {
+ const uint32 r = 0xFFFFFFFE;
+
+ uint64 t;
+ uint32 x;
+
+ i = (i + 1) & (SEED_COUNT - 1);
+ t = a * Q[i] + c;
+ c = uint32(t >> 32);
+ x = uint32(t + c);
+
+ if( x < c ) {
+ x++;
+ c++;
+ }
+
+ uint32 val = r - x;
+ Q[i] = val;
+ return val;
+ };
+
+
+ private:
+
+ uint32 c;
+ uint32 i;
+ uint32 Q[8];
+
+ };
+
+
+ /** Random number implementation from the GNU Sci. Lib. (GSL).
+ * Adapted from Nicholas Chapman version:
+ *
+ * Copyright (C) 1996, 1997, 1998, 1999, 2000 James Theiler, Brian Gough
+ * This is the Unix rand48() generator. The generator returns the
+ * upper 32 bits from each term of the sequence,
+ *
+ * x_{n+1} = (a x_n + c) mod m
+ *
+ * using 48-bit unsigned arithmetic, with a = 0x5DEECE66D , c = 0xB
+ * and m = 2^48. The seed specifies the upper 32 bits of the initial
+ * value, x_1, with the lower 16 bits set to 0x330E.
+ *
+ * The theoretical value of x_{10001} is 244131582646046.
+ *
+ * The period of this generator is ? FIXME (probably around 2^48).
+ */
+ class Rand48 : public Rand
+ {
+ public:
+
+ Rand48( time_e )
+ {
+ seed(randomSeed());
+ }
+
+ Rand48( uint s = 0x1234ABCD )
+ {
+ seed(s);
+ }
+
+
+ /** Set the given seed. */
+ virtual void seed( uint s ) {
+ vstate.x0 = 0x330E;
+ vstate.x1 = uint16(s & 0xFFFF);
+ vstate.x2 = uint16((s >> 16) & 0xFFFF);
+ }
+
+ /** Get a random number. */
+ virtual uint get() {
+
+ advance();
+
+ uint x1 = vstate.x1;
+ uint x2 = vstate.x2;
+ return (x2 << 16) + x1;
+ }
+
+
+ private:
+
+ void advance()
+ {
+ /* work with unsigned long ints throughout to get correct integer
+ promotions of any unsigned short ints */
+ const uint32 x0 = vstate.x0;
+ const uint32 x1 = vstate.x1;
+ const uint32 x2 = vstate.x2;
+
+ uint32 a;
+ a = a0 * x0 + c0;
+
+ vstate.x0 = uint16(a & 0xFFFF);
+ a >>= 16;
+
+ /* although the next line may overflow we only need the top 16 bits
+ in the following stage, so it does not matter */
+
+ a += a0 * x1 + a1 * x0;
+ vstate.x1 = uint16(a & 0xFFFF);
+
+ a >>= 16;
+ a += a0 * x2 + a1 * x1 + a2 * x0;
+ vstate.x2 = uint16(a & 0xFFFF);
+ }
+
+
+ private:
+ NVMATH_API static const uint16 a0, a1, a2, c0;
+
+ struct rand48_state_t {
+ uint16 x0, x1, x2;
+ } vstate;
+
+ };
+
+} // nv namespace
+
+#endif // NV_MATH_RANDOM_H