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76
DependentExtensions/cat/rand/IRandom.hpp Normal file
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/*
Copyright (c) 2009-2010 Christopher A. Taylor. 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 LibCat 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 HOLDER 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 CAT_I_RANDOM_HPP
#define CAT_I_RANDOM_HPP
#include <cat/Platform.hpp>
namespace cat {
// Pseudo-random number generators will derive from IRandom and implement its public methods
// WARNING: Not seeded by default. Be sure to call Initialize() before Generate()
class IRandom
{
public:
virtual ~IRandom() {}
// Generate a 32-bit random number
virtual u32 Generate() = 0;
// Generate a variable number of random bytes
virtual void Generate(void *buffer, int bytes) = 0;
public:
// Generate a 32-bit random number in the range [low..high] inclusive
u32 GenerateUnbiased(u32 low, u32 high)
{
u32 range = high - low;
// Round range up to the next pow(2)-1 using a Stanford Bit Twiddling Hack
u32 v = range - 1;
v |= v >> 1;
v |= v >> 2;
v |= v >> 4;
v |= v >> 8;
v |= v >> 16;
// Generate an unbiased random number in the inclusive range [0..(high-low)]
u32 x;
do x = Generate() & v;
while (x > range);
return low + x;
}
};
} // namespace cat
#endif // CAT_I_RANDOM_HPP

90
DependentExtensions/cat/rand/MersenneTwister.hpp Normal file
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/*
Copyright (c) 2009-2010 Christopher A. Taylor. 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 LibCat 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 HOLDER 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.
*/
/*
Algorithm by Makoto Matsumoto
http://www.math.sci.hiroshima-u.ac.jp/~m-mat/MT/emt.html
*/
#ifndef CAT_MERSENNE_TWISTER_HPP
#define CAT_MERSENNE_TWISTER_HPP
#include <cat/rand/IRandom.hpp>
namespace cat {
// Noncryptographic pseudo-random number generator
class MersenneTwister : public IRandom
{
static const u32 MEXP = 19937;
static const u32 N128 = MEXP/128 + 1;
static const u32 N64 = N128 * 2;
static const u32 N32 = N128 * 4;
static const u32 POS1 = 122;
static const u32 SL1 = 18;
static const u32 SL2 = 1;
static const u32 SL2BITS = SL2*8;
static const u32 SR1 = 11;
static const u32 SR2 = 1;
static const u32 SR2BITS = SR2*8;
static const u32 MSK1 = 0xdfffffefU;
static const u32 MSK2 = 0xddfecb7fU;
static const u32 MSK3 = 0xbffaffffU;
static const u32 MSK4 = 0xbffffff6U;
struct MT128 {
u32 u[4];
};
MT128 state[19937/128 + 1];
u32 *state32;
u32 used;
CAT_INLINE void shiftLeft128(MT128 *r, MT128 *n, u32 bits);
CAT_INLINE void shiftRight128(MT128 *r, MT128 *n, u32 bits);
void enforcePeriod(); // make corrections to ensure that the generator has the full period
void round(MT128 *a, MT128 *b, MT128 *c, MT128 *d); // a = MTMIX(a,b,c,d)
void update(); // permute the existing state into a new one
public:
MersenneTwister();
bool Initialize(u32 seed);
bool Initialize(u32 *seeds, u32 words);
bool Initialize();
u32 Generate(); // generate a 32-bit number
void Generate(void *buffer, int bytes); // generate a series of random numbers
};
} // namespace cat
#endif // CAT_MERSENNE_TWISTER_HPP

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DependentExtensions/cat/rand/StdRand.hpp Normal file
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/*
Copyright (c) 2009-2010 Christopher A. Taylor. 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 LibCat 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 HOLDER 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 CAT_STDRAND_HPP
#define CAT_STDRAND_HPP
#include <cat/Platform.hpp>
namespace cat {
// Microsoft VC++ 7.0 stdlib srand(), rand(), old RANDU()
class StandardRand
{
protected:
s32 seed;
public:
StandardRand(u32 ns = 0) { seed = ns; }
inline void srand32(u32 ns) { seed = ns; } // 32-bit version
inline void srand16(u16 ns) { seed = ns; } // 16-bit version (yup)
u16 rand(); // Linear Congruential Generator: X = X * M + A (mod N)
u16 randu(); // RANDU LCG: X = X * M (mod N)
float sfrand(); // Fast [-1.f,1.f] generator from Inigo Quilez (2005)
};
// Non-linear congruential 32-bit random mixing function for given x, y and seed
// This function is used in every example of Perlin noise I found online for some reason!
u32 NLCRand32(int x, int y, u32 seed);
// Uses NLCRand32 as a front-end, and then maps the output to a number between -1 and 1
float NLCRandNorm(int x, int y, u32 seed);
} // namespace cat
#endif // CAT_STDRAND_HPP