add Mersenne Twister random number generator
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@ -2014,6 +2014,35 @@ public:
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uint64 state;
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uint64 state;
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};
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};
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class CV_EXPORTS RNG_MT19937
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{
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public:
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RNG_MT19937();
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RNG_MT19937(unsigned s);
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void seed(unsigned s);
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unsigned next();
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operator int();
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operator unsigned();
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operator float();
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operator double();
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unsigned operator ()(unsigned N);
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unsigned operator ()();
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// returns uniformly distributed integer random number from [a,b) range
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int uniform(int a, int b);
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// returns uniformly distributed floating-point random number from [a,b) range
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float uniform(float a, float b);
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// returns uniformly distributed double-precision floating-point random number from [a,b) range
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double uniform(double a, double b);
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private:
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enum PeriodParameters {N = 624, M = 397};
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unsigned state[N];
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int mti;
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};
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/*!
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/*!
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Termination criteria in iterative algorithms
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Termination criteria in iterative algorithms
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@ -883,4 +883,129 @@ CV_IMPL void cvRandShuffle( CvArr* arr, CvRNG* _rng, double iter_factor )
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cv::randShuffle( dst, iter_factor, &rng );
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cv::randShuffle( dst, iter_factor, &rng );
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}
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}
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// Mersenne Twister random number generator.
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// Inspired by http://www.math.sci.hiroshima-u.ac.jp/~m-mat/MT/MT2002/CODES/mt19937ar.c
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/*
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A C-program for MT19937, with initialization improved 2002/1/26.
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Coded by Takuji Nishimura and Makoto Matsumoto.
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Before using, initialize the state by using init_genrand(seed)
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or init_by_array(init_key, key_length).
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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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Any feedback is very welcome.
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http://www.math.sci.hiroshima-u.ac.jp/~m-mat/MT/emt.html
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email: m-mat @ math.sci.hiroshima-u.ac.jp (remove space)
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*/
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cv::RNG_MT19937::RNG_MT19937(unsigned s) { seed(s); }
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cv::RNG_MT19937::RNG_MT19937() { seed(5489U); }
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void cv::RNG_MT19937::seed(unsigned s)
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{
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state[0]= s;
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for (mti = 1; mti < N; mti++)
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{
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/* See Knuth TAOCP Vol2. 3rd Ed. P.106 for multiplier. */
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state[mti] = (1812433253U * (state[mti - 1] ^ (state[mti - 1] >> 30)) + mti);
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}
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}
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unsigned cv::RNG_MT19937::next()
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{
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/* mag01[x] = x * MATRIX_A for x=0,1 */
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static unsigned mag01[2] = { 0x0U, /*MATRIX_A*/ 0x9908b0dfU};
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const unsigned UPPER_MASK = 0x80000000U;
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const unsigned LOWER_MASK = 0x7fffffffU;
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/* generate N words at one time */
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if (mti >= N)
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{
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int kk = 0;
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for (; kk < N - M; ++kk)
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{
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unsigned y = (state[kk] & UPPER_MASK) | (state[kk + 1] & LOWER_MASK);
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state[kk] = state[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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unsigned y = (state[kk] & UPPER_MASK) | (state[kk + 1] & LOWER_MASK);
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state[kk] = state[kk + (M - N)] ^ (y >> 1) ^ mag01[y & 0x1U];
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}
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unsigned y = (state[N - 1] & UPPER_MASK) | (state[0] & LOWER_MASK);
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state[N - 1] = state[M - 1] ^ (y >> 1) ^ mag01[y & 0x1U];
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mti = 0;
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}
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unsigned y = state[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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cv::RNG_MT19937::operator unsigned() { return next(); }
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cv::RNG_MT19937::operator int() { return (int)next();}
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cv::RNG_MT19937::operator float() { return next() * (1.f / 4294967296.f); }
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cv::RNG_MT19937::operator double()
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{
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unsigned a = next() >> 5;
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unsigned b = next() >> 6;
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return (a * 67108864.0 + b) * (1.0 / 9007199254740992.0);
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}
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int cv::RNG_MT19937::uniform(int a, int b) { return (int)(next() % (b - a) + a); }
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float cv::RNG_MT19937::uniform(float a, float b) { return ((float)*this)*(b - a) + a; }
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double cv::RNG_MT19937::uniform(double a, double b) { return ((double)*this)*(b - a) + a; }
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unsigned cv::RNG_MT19937::operator ()(unsigned b) { return next() % b; }
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unsigned cv::RNG_MT19937::operator ()() { return next(); }
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/* End of file. */
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/* End of file. */
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@ -339,3 +339,29 @@ protected:
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TEST(Core_Rand, range) { Core_RandRangeTest test; test.safe_run(); }
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TEST(Core_Rand, range) { Core_RandRangeTest test; test.safe_run(); }
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TEST(Core_RNG_MT19937, regression)
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{
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cv::RNG_MT19937 rng;
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int actual[61] = {0, };
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const size_t length = (sizeof(actual) / sizeof(actual[0]));
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for (int i = 0; i < 10000; ++i )
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{
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actual[(unsigned)(rng.next() ^ i) % length]++;
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}
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int expected[length] = {
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177, 158, 180, 177, 160, 179, 143, 162,
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177, 144, 170, 174, 165, 168, 168, 156,
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177, 157, 159, 169, 177, 182, 166, 154,
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144, 180, 168, 152, 170, 187, 160, 145,
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139, 164, 157, 179, 148, 183, 159, 160,
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196, 184, 149, 142, 162, 148, 163, 152,
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168, 173, 160, 181, 172, 181, 155, 153,
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158, 171, 138, 150, 150 };
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for (size_t i = 0; i < length; ++i)
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{
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ASSERT_EQ(expected[i], actual[i]);
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}
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}
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