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MersenneTwister in TypeScript
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// Code adapted from http://www.math.sci.hiroshima-u.ac.jp/~m-mat/MT/MT2002/emt19937ar.html | |
// Original copyright: | |
/* | |
A C-program for MT19937, with initialization improved 2002/1/26. | |
Coded by Takuji Nishimura and Makoto Matsumoto. | |
Before using, initialize the state by using init_genrand(seed) | |
or init_by_array(init_key, key_length). | |
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. | |
Any feedback is very welcome. | |
http://www.math.sci.hiroshima-u.ac.jp/~m-mat/MT/emt.html | |
email: m-mat @ math.sci.hiroshima-u.ac.jp (remove space) | |
*/ | |
function mersenneTwister(seed: number) { | |
const N = 624; | |
const M = 397; | |
const MATRIX_A = 0x9908B0DF; | |
const UPPER_MASK = 0x80000000; | |
const LOWER_MASK = 0x7FFFFFFF; | |
const MAG01 = [0, MATRIX_A]; | |
let mt = new Uint32Array(N); | |
let mti = 0; | |
mt[0] = seed >>> 0; | |
for (mti = 1; mti < N; mti++) { | |
mt[mti] = (1812433253 * (mt[mti - 1] ^ (mt[mti - 1] >>> 30)) + mti) >>> 0; | |
} | |
/* Generates a random number on [0,0xFFFFFFFF]-interval. */ | |
function int32() { | |
let y; | |
if (mti >= N) { | |
let kk = 0; | |
for (; kk < N - M; kk++) { | |
y = (mt[kk] & UPPER_MASK) | (mt[kk + 1] & LOWER_MASK); | |
mt[kk] = mt[kk + M] ^ (y >>> 1) ^ MAG01[y & 1]; | |
} | |
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 & 1]; | |
} | |
y = (mt[N - 1] & UPPER_MASK) | (mt[0] & LOWER_MASK); | |
mt[N - 1] = mt[M - 1] ^ (y >>> 1) ^ MAG01[y & 1]; | |
mti = 0; | |
} | |
y = mt[mti++]; | |
y ^= (y >>> 11); | |
y ^= (y << 7) & 0x9D2C5680; | |
y ^= (y << 15) & 0xEFC60000; | |
y ^= (y >>> 18); | |
return y >>> 0; | |
} | |
/* Generates a random number on [0,1]-real-interval. */ | |
function real1() { | |
return int32() * (1.0 / 4294967295.0); // Divided by 2^32-1 | |
} | |
/* Generates a random number on [0,1)-real-interval. */ | |
function real2() { | |
return int32() * (1.0 / 4294967296.0); // Divided by 2^32 | |
} | |
/* Generates a random number on (0,1)-real-interval. */ | |
function real3() { | |
return (int32() + 0.5) * (1.0 / 4294967296.0); // Divided by 2^32 | |
} | |
/* Generates a random number on [0,1) with 53-bit resolution. */ | |
function res53() { | |
let a = int32() >>> 5, b = int32() >>> 6; | |
return (a * 67108864.0 + b) * (1.0 / 9007199254740992.0); | |
} | |
return { int32, real1, real2, real3, res53, }; | |
} | |
const MT = mersenneTwister(Date.now()); |
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