added a few const, and a default value for the generate(int) call
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@ -1,335 +1,335 @@
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/****************************************************************************
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* VCGLib o o *
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* Visual and Computer Graphics Library o o *
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* _ O _ *
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* Copyright(C) 2004 \/)\/ *
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* Visual Computing Lab /\/| *
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* ISTI - Italian National Research Council | *
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* \ *
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* All rights reserved. *
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* *
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* This program is free software; you can redistribute it and/or modify *
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* it under the terms of the GNU General Public License as published by *
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* the Free Software Foundation; either version 2 of the License, or *
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* (at your option) any later version. *
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* *
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* This program is distributed in the hope that it will be useful, *
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* but WITHOUT ANY WARRANTY; without even the implied warranty of *
|
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* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the *
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* GNU General Public License (http://www.gnu.org/licenses/gpl.txt) *
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* for more details. *
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* *
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****************************************************************************/
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#ifndef __VCG_RandomGenerator
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#define __VCG_RandomGenerator
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namespace vcg {
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namespace math {
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/**
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* Common interface for random generation (with uniform distribution).
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*
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* Two RNGs are available: Subtractive Ring and an improved Marsenne-Twister.
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*/
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class RandomGenerator
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{
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// construction
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public:
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RandomGenerator(){}
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// public methods
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public:
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/// (Re-)initialize with a given seed.
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virtual void initialize(unsigned int seed)=0;
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/// Return a random number in the given range (note that not all the RNG can handle a given limit).
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virtual unsigned int generate(unsigned int limit)=0;
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/// Return a random number in the [0,1) real interval.
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virtual double generate01()=0;
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};
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/**
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* Uniform RNG derived from a STL extension of sgi.
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*
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* It is based on the Subtractive Ring method.
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* This implementation assumes that int is 32 bits.
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*
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* References
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*
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* D. E. Knuth, The Art of Computer Programming. Volume 2: Seminumerical Algorithms, 2nd Edition. Addison-Wesley, 1981.
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* (section 3.6 of Knuth for an implementation of the subtractive method in FORTRAN)
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* (section 3.2.2 of Knuth analyzes this class of algorithms)
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*/
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class SubtractiveRingRNG : public RandomGenerator
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{
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// private data member
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private:
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// Subtractive Ring RNG status variables
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unsigned int _M_table[55];
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size_t _M_index1;
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size_t _M_index2;
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// construction
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public:
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// ctor
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SubtractiveRingRNG(int default_seed=161803398u)
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{
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initialize(default_seed);
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}
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// public methods
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public:
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/// (Re-)initialize with a given seed.
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void initialize(unsigned int seed)
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{
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unsigned int __k = 1;
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_M_table[54] = seed;
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size_t __i;
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for (__i = 0; __i < 54; __i++)
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{
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size_t __ii = (21 * (__i + 1) % 55) - 1;
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_M_table[__ii] = __k;
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__k = seed - __k;
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seed = _M_table[__ii];
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}
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for (int __loop = 0; __loop < 4; __loop++)
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{
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for (__i = 0; __i < 55; __i++)
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_M_table[__i] = _M_table[__i] - _M_table[(1 + __i + 30) % 55];
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}
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_M_index1 = 0;
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_M_index2 = 31;
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}
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/// Return a random number in the given range (limit) using the Subtractive Ring method.
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unsigned int generate(unsigned int limit)
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{
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_M_index1 = (_M_index1 + 1) % 55;
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_M_index2 = (_M_index2 + 1) % 55;
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_M_table[_M_index1] = _M_table[_M_index1] - _M_table[_M_index2];
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return _M_table[_M_index1] % limit;
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}
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/// Return a random number in the [0,1) real interval using the Subtractive Ring method.
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double generate01()
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{
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unsigned int lmt = 0xffffffffu;
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unsigned int number = generate(lmt);
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return static_cast<double>(number) / static_cast<double>(lmt);
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}
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};
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/**
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* The second one is an improved Marsenne-Twister algorithm (MT19937)
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* Coded by Takuji Nishimura and Makoto Matsumoto (see copyright note below)
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* and successively modified to be a C++ class by Daniel Dunbar.
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*
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*
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* References for improved Marsenne-Twister:
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*
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* http://www.math.sci.hiroshima-u.ac.jp/~m-mat/MT/emt.html
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*
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*/
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class MarsenneTwisterRNG : public RandomGenerator
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{
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// definitions
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private:
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static const int N = 624;
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static const int M = 397;
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static const unsigned int MATRIX_A = 0x9908b0dfu; // constant vector a
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static const unsigned int UPPER_MASK = 0x80000000u; // most significant w-r bits
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static const unsigned int LOWER_MASK = 0x7fffffffu; // least significant r bits
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// private data member
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private:
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// Improved Marsenne-Twister RNG status variables
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unsigned int mt[N]; // the array for the state vector
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int mti;
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// construction
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public:
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// ctor
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MarsenneTwisterRNG()
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{
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initialize(5489u);
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}
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// public methods
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public:
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/// (Re-)initialize with the given seed.
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void initialize(unsigned int seed)
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{
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mt[0]= seed & 0xffffffffu;
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for (mti=1; mti<N; mti++)
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{
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mt[mti] = (1812433253u * (mt[mti-1] ^ (mt[mti-1] >> 30)) + mti);
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/* See Knuth TAOCP Vol2. 3rd Ed. P.106 for multiplier. */
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/* In the previous versions, MSBs of the seed affect */
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/* only MSBs of the array mt[]. */
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/* 2002/01/09 modified by Makoto Matsumoto */
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mt[mti] &= 0xffffffffu;
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/* for >32 bit machines */
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}
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}
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/**
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* Initialize by an array with array-length.
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*
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* init_key is the array for initializing keys
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* key_length is its length
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*/
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void initializeByArray(unsigned int init_key[], int key_length)
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{
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int i, j, k;
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initialize(19650218u);
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i=1; j=0;
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k = (N>key_length ? N : key_length);
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for (; k; k--)
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{
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mt[i] = (mt[i] ^ ((mt[i-1] ^ (mt[i-1] >> 30)) * 1664525u)) + init_key[j] + j; /* non linear */
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mt[i] &= 0xffffffffu; /* for WORDSIZE > 32 machines */
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i++; j++;
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if (i>=N)
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{
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mt[0] = mt[N-1];
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i=1;
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}
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if (j>=key_length) j=0;
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}
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for (k=N-1; k; k--)
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{
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mt[i] = (mt[i] ^ ((mt[i-1] ^ (mt[i-1] >> 30)) * 1566083941u)) - i; /* non linear */
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mt[i] &= 0xffffffffu; /* for WORDSIZE > 32 machines */
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i++;
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if (i>=N)
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{
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mt[0] = mt[N-1];
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i=1;
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}
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}
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mt[0] = 0x80000000u; /* MSB is 1; assuring non-zero initial array */
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}
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/**
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* Return a random number in the [0,0xffffffff] interval using the improved Marsenne Twister algorithm.
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*
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* NOTE: Limit is not considered, the interval is fixed.
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*/
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unsigned int generate(unsigned int limit)
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{
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unsigned int y;
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static unsigned int mag01[2]={0x0u, MATRIX_A};
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/* mag01[x] = x * MATRIX_A for x=0,1 */
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if (mti >= N) // generate N words at one time
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{
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int kk;
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for (kk=0;kk<N-M;kk++)
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{
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y = (mt[kk]&UPPER_MASK)|(mt[kk+1]&LOWER_MASK);
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mt[kk] = mt[kk+M] ^ (y >> 1) ^ mag01[y & 0x1u];
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}
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for (;kk<N-1;kk++)
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{
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y = (mt[kk]&UPPER_MASK)|(mt[kk+1]&LOWER_MASK);
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mt[kk] = mt[kk+(M-N)] ^ (y >> 1) ^ mag01[y & 0x1u];
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}
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y = (mt[N-1]&UPPER_MASK)|(mt[0]&LOWER_MASK);
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mt[N-1] = mt[M-1] ^ (y >> 1) ^ mag01[y & 0x1u];
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mti = 0;
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}
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y = mt[mti++];
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/* Tempering */
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y ^= (y >> 11);
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y ^= (y << 7) & 0x9d2c5680u;
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y ^= (y << 15) & 0xefc60000u;
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y ^= (y >> 18);
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return y;
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}
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/// Returns a random number in the [0,1] real interval using the improved Marsenne-Twister.
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double generate01closed()
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{
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return generate(0)*(1.0/4294967295.0);
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}
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/// Returns a random number in the [0,1) real interval using the improved Marsenne-Twister.
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double generate01()
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{
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return generate(0)*(1.0/4294967296.0);
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}
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/// Generates a random number in the (0,1) real interval using the improved Marsenne-Twister.
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double generate01open()
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{
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return (((double)generate(0)) + 0.5)*(1.0/4294967296.0);
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}
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};
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} // end namespace math
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} // end namespace vcg
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/*
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Copyright (C) 1997 - 2002, Makoto Matsumoto and Takuji Nishimura,
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All rights reserved.
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Redistribution and use in source and binary forms, with or without
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modification, are permitted provided that the following conditions
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are met:
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1. Redistributions of source code must retain the above copyright
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notice, this list of conditions and the following disclaimer.
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2. Redistributions in binary form must reproduce the above copyright
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notice, this list of conditions and the following disclaimer in the
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documentation and/or other materials provided with the distribution.
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3. The names of its contributors may not be used to endorse or promote
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products derived from this software without specific prior written
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permission.
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THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
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"AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
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LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
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A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR
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CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
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EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
|
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PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
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PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF
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LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING
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NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
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SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
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*/
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#endif /* __VCG_RandomGenerator */
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/****************************************************************************
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* VCGLib o o *
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||||
* Visual and Computer Graphics Library o o *
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||||
* _ O _ *
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||||
* Copyright(C) 2004 \/)\/ *
|
||||
* Visual Computing Lab /\/| *
|
||||
* ISTI - Italian National Research Council | *
|
||||
* \ *
|
||||
* All rights reserved. *
|
||||
* *
|
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* This program is free software; you can redistribute it and/or modify *
|
||||
* it under the terms of the GNU General Public License as published by *
|
||||
* the Free Software Foundation; either version 2 of the License, or *
|
||||
* (at your option) any later version. *
|
||||
* *
|
||||
* This program is distributed in the hope that it will be useful, *
|
||||
* but WITHOUT ANY WARRANTY; without even the implied warranty of *
|
||||
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the *
|
||||
* GNU General Public License (http://www.gnu.org/licenses/gpl.txt) *
|
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* for more details. *
|
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* *
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****************************************************************************/
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#ifndef __VCG_RandomGenerator
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#define __VCG_RandomGenerator
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namespace vcg {
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namespace math {
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/**
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* Common interface for random generation (with uniform distribution).
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*
|
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* Two RNGs are available: Subtractive Ring and an improved Marsenne-Twister.
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*/
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class RandomGenerator
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{
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// construction
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public:
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RandomGenerator(){}
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// public methods
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public:
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/// (Re-)initialize with a given seed.
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virtual void initialize(unsigned int seed)=0;
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/// Return a random number in the given range (note that not all the RNG can handle a given limit).
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virtual unsigned int generate(unsigned int limit)=0;
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|
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/// Return a random number in the [0,1) real interval.
|
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virtual double generate01()=0;
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};
|
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|
||||
/**
|
||||
* Uniform RNG derived from a STL extension of sgi.
|
||||
*
|
||||
* It is based on the Subtractive Ring method.
|
||||
* This implementation assumes that int is 32 bits.
|
||||
*
|
||||
* References
|
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*
|
||||
* D. E. Knuth, The Art of Computer Programming. Volume 2: Seminumerical Algorithms, 2nd Edition. Addison-Wesley, 1981.
|
||||
* (section 3.6 of Knuth for an implementation of the subtractive method in FORTRAN)
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* (section 3.2.2 of Knuth analyzes this class of algorithms)
|
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*/
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class SubtractiveRingRNG : public RandomGenerator
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{
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// private data member
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private:
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|
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// Subtractive Ring RNG status variables
|
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unsigned int _M_table[55];
|
||||
size_t _M_index1;
|
||||
size_t _M_index2;
|
||||
|
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// construction
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||||
public:
|
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|
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// ctor
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||||
SubtractiveRingRNG(int default_seed=161803398u)
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||||
{
|
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initialize(default_seed);
|
||||
}
|
||||
|
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|
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// public methods
|
||||
public:
|
||||
|
||||
/// (Re-)initialize with a given seed.
|
||||
void initialize(unsigned int seed)
|
||||
{
|
||||
unsigned int __k = 1;
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_M_table[54] = seed;
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||||
size_t __i;
|
||||
for (__i = 0; __i < 54; __i++)
|
||||
{
|
||||
size_t __ii = (21 * (__i + 1) % 55) - 1;
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||||
_M_table[__ii] = __k;
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__k = seed - __k;
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||||
seed = _M_table[__ii];
|
||||
}
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for (int __loop = 0; __loop < 4; __loop++)
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{
|
||||
for (__i = 0; __i < 55; __i++)
|
||||
_M_table[__i] = _M_table[__i] - _M_table[(1 + __i + 30) % 55];
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||||
}
|
||||
_M_index1 = 0;
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||||
_M_index2 = 31;
|
||||
}
|
||||
|
||||
/// Return a random number in the given range (limit) using the Subtractive Ring method.
|
||||
unsigned int generate(unsigned int limit= 0xffffffffu)
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||||
{
|
||||
_M_index1 = (_M_index1 + 1) % 55;
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||||
_M_index2 = (_M_index2 + 1) % 55;
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||||
_M_table[_M_index1] = _M_table[_M_index1] - _M_table[_M_index2];
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||||
return _M_table[_M_index1] % limit;
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||||
}
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||||
|
||||
/// Return a random number in the [0,1) real interval using the Subtractive Ring method.
|
||||
double generate01()
|
||||
{
|
||||
const unsigned int lmt = 0xffffffffu;
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||||
unsigned int number = generate(lmt);
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return static_cast<double>(number) / static_cast<double>(lmt);
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||||
}
|
||||
};
|
||||
|
||||
/**
|
||||
* The second one is an improved Marsenne-Twister algorithm (MT19937)
|
||||
* Coded by Takuji Nishimura and Makoto Matsumoto (see copyright note below)
|
||||
* and successively modified to be a C++ class by Daniel Dunbar.
|
||||
*
|
||||
*
|
||||
* References for improved Marsenne-Twister:
|
||||
*
|
||||
* http://www.math.sci.hiroshima-u.ac.jp/~m-mat/MT/emt.html
|
||||
*
|
||||
*/
|
||||
class MarsenneTwisterRNG : public RandomGenerator
|
||||
{
|
||||
|
||||
// definitions
|
||||
private:
|
||||
|
||||
static const int N = 624;
|
||||
static const int M = 397;
|
||||
static const unsigned int MATRIX_A = 0x9908b0dfu; // constant vector a
|
||||
static const unsigned int UPPER_MASK = 0x80000000u; // most significant w-r bits
|
||||
static const unsigned int LOWER_MASK = 0x7fffffffu; // least significant r bits
|
||||
|
||||
// private data member
|
||||
private:
|
||||
|
||||
// Improved Marsenne-Twister RNG status variables
|
||||
unsigned int mt[N]; // the array for the state vector
|
||||
int mti;
|
||||
|
||||
// construction
|
||||
public:
|
||||
|
||||
// ctor
|
||||
MarsenneTwisterRNG()
|
||||
{
|
||||
initialize(5489u);
|
||||
}
|
||||
|
||||
|
||||
// public methods
|
||||
public:
|
||||
|
||||
/// (Re-)initialize with the given seed.
|
||||
void initialize(unsigned int seed)
|
||||
{
|
||||
mt[0]= seed & 0xffffffffu;
|
||||
for (mti=1; mti<N; mti++)
|
||||
{
|
||||
mt[mti] = (1812433253u * (mt[mti-1] ^ (mt[mti-1] >> 30)) + mti);
|
||||
/* See Knuth TAOCP Vol2. 3rd Ed. P.106 for multiplier. */
|
||||
/* In the previous versions, MSBs of the seed affect */
|
||||
/* only MSBs of the array mt[]. */
|
||||
/* 2002/01/09 modified by Makoto Matsumoto */
|
||||
mt[mti] &= 0xffffffffu;
|
||||
/* for >32 bit machines */
|
||||
}
|
||||
}
|
||||
|
||||
/**
|
||||
* Initialize by an array with array-length.
|
||||
*
|
||||
* init_key is the array for initializing keys
|
||||
* key_length is its length
|
||||
*/
|
||||
void initializeByArray(unsigned int init_key[], int key_length)
|
||||
{
|
||||
int i, j, k;
|
||||
initialize(19650218u);
|
||||
i=1; j=0;
|
||||
k = (N>key_length ? N : key_length);
|
||||
for (; k; k--)
|
||||
{
|
||||
mt[i] = (mt[i] ^ ((mt[i-1] ^ (mt[i-1] >> 30)) * 1664525u)) + init_key[j] + j; /* non linear */
|
||||
mt[i] &= 0xffffffffu; /* for WORDSIZE > 32 machines */
|
||||
i++; j++;
|
||||
|
||||
if (i>=N)
|
||||
{
|
||||
mt[0] = mt[N-1];
|
||||
i=1;
|
||||
}
|
||||
|
||||
if (j>=key_length) j=0;
|
||||
}
|
||||
|
||||
for (k=N-1; k; k--)
|
||||
{
|
||||
mt[i] = (mt[i] ^ ((mt[i-1] ^ (mt[i-1] >> 30)) * 1566083941u)) - i; /* non linear */
|
||||
mt[i] &= 0xffffffffu; /* for WORDSIZE > 32 machines */
|
||||
i++;
|
||||
if (i>=N)
|
||||
{
|
||||
mt[0] = mt[N-1];
|
||||
i=1;
|
||||
}
|
||||
}
|
||||
|
||||
mt[0] = 0x80000000u; /* MSB is 1; assuring non-zero initial array */
|
||||
}
|
||||
|
||||
/**
|
||||
* Return a random number in the [0,0xffffffff] interval using the improved Marsenne Twister algorithm.
|
||||
*
|
||||
* NOTE: Limit is not considered, the interval is fixed.
|
||||
*/
|
||||
unsigned int generate(unsigned int limit)
|
||||
{
|
||||
unsigned int y;
|
||||
static unsigned int mag01[2]={0x0u, MATRIX_A};
|
||||
/* mag01[x] = x * MATRIX_A for x=0,1 */
|
||||
|
||||
if (mti >= N) // generate N words at one time
|
||||
{
|
||||
int kk;
|
||||
|
||||
for (kk=0;kk<N-M;kk++)
|
||||
{
|
||||
y = (mt[kk]&UPPER_MASK)|(mt[kk+1]&LOWER_MASK);
|
||||
mt[kk] = mt[kk+M] ^ (y >> 1) ^ mag01[y & 0x1u];
|
||||
}
|
||||
|
||||
for (;kk<N-1;kk++)
|
||||
{
|
||||
y = (mt[kk]&UPPER_MASK)|(mt[kk+1]&LOWER_MASK);
|
||||
mt[kk] = mt[kk+(M-N)] ^ (y >> 1) ^ mag01[y & 0x1u];
|
||||
}
|
||||
|
||||
y = (mt[N-1]&UPPER_MASK)|(mt[0]&LOWER_MASK);
|
||||
mt[N-1] = mt[M-1] ^ (y >> 1) ^ mag01[y & 0x1u];
|
||||
|
||||
mti = 0;
|
||||
}
|
||||
|
||||
y = mt[mti++];
|
||||
|
||||
/* Tempering */
|
||||
y ^= (y >> 11);
|
||||
y ^= (y << 7) & 0x9d2c5680u;
|
||||
y ^= (y << 15) & 0xefc60000u;
|
||||
y ^= (y >> 18);
|
||||
|
||||
return y;
|
||||
}
|
||||
|
||||
/// Returns a random number in the [0,1] real interval using the improved Marsenne-Twister.
|
||||
double generate01closed()
|
||||
{
|
||||
return generate(0)*(1.0/4294967295.0);
|
||||
}
|
||||
|
||||
/// Returns a random number in the [0,1) real interval using the improved Marsenne-Twister.
|
||||
double generate01()
|
||||
{
|
||||
return generate(0)*(1.0/4294967296.0);
|
||||
}
|
||||
|
||||
/// Generates a random number in the (0,1) real interval using the improved Marsenne-Twister.
|
||||
double generate01open()
|
||||
{
|
||||
return (((double)generate(0)) + 0.5)*(1.0/4294967296.0);
|
||||
}
|
||||
|
||||
};
|
||||
|
||||
} // end namespace math
|
||||
} // end namespace vcg
|
||||
|
||||
|
||||
|
||||
/*
|
||||
Copyright (C) 1997 - 2002, Makoto Matsumoto and Takuji Nishimura,
|
||||
All rights reserved.
|
||||
|
||||
Redistribution and use in source and binary forms, with or without
|
||||
modification, are permitted provided that the following conditions
|
||||
are met:
|
||||
|
||||
1. Redistributions of source code must retain the above copyright
|
||||
notice, this list of conditions and the following disclaimer.
|
||||
|
||||
2. 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.
|
||||
|
||||
3. The names of its contributors may not 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.
|
||||
*/
|
||||
|
||||
|
||||
#endif /* __VCG_RandomGenerator */
|
||||
|
|
|
|||
Loading…
Reference in New Issue