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chore: move vendor to utils and update license notes (#738)
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/** | ||
* Copyright (c) 2022 Faker | ||
* | ||
* This is a version of the original source code migrated to TypeScript and | ||
* modified by the Faker team. | ||
* | ||
* Check LICENSE for more details on copyright. | ||
* | ||
* ----------------------------------------------------------------------------- | ||
* | ||
* Copyright (c) 2006 Y. Okada | ||
* | ||
* This program is a JavaScript version of Mersenne Twister, with concealment | ||
* and encapsulation in class, an almost straight conversion from the original | ||
* program, mt19937ar.c, translated by Y. Okada on July 17, 2006, and modified | ||
* a little at July 20, 2006, but there are not any substantial differences. | ||
* | ||
* In this program, procedure descriptions and comments of original source code | ||
* were not removed. | ||
* | ||
* Lines commented with //c// were originally descriptions of c procedure. | ||
* And a few following lines are appropriate JavaScript descriptions. | ||
* | ||
* Lines commented with /* and *\/ are original comments. | ||
* Lines commented with // are additional comments in this JavaScript version. | ||
* | ||
* Before using this version, create at least one instance of | ||
* MersenneTwister19937 class, and initialize the each state, given below | ||
* in C comments, of all the instances. | ||
* | ||
* ----------------------------------------------------------------------------- | ||
* | ||
* 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) | ||
*/ | ||
|
||
export default class MersenneTwister19937 { | ||
private readonly N = 624; | ||
private readonly M = 397; | ||
private readonly MATRIX_A = 0x9908b0df; // constant vector a | ||
private readonly UPPER_MASK = 0x80000000; // most significant w-r bits | ||
private readonly LOWER_MASK = 0x7fffffff; // least significant r bits | ||
private mt: number[] = new Array(this.N); // the array for the state vector | ||
private mti = this.N + 1; // mti==N+1 means mt[N] is not initialized | ||
|
||
/** | ||
* Returns a 32-bits unsigned integer from an operand to which applied a bit | ||
* operator. | ||
* | ||
* @param n1 number to unsign | ||
*/ | ||
private unsigned32(n1: number): number { | ||
return n1 < 0 ? (n1 ^ this.UPPER_MASK) + this.UPPER_MASK : n1; | ||
} | ||
|
||
/** | ||
* Emulates lowerflow of a c 32-bits unsigned integer variable, instead of | ||
* the operator -. These both arguments must be non-negative integers | ||
* expressible using unsigned 32 bits. | ||
* | ||
* @param n1 dividend | ||
* @param n2 divisor | ||
*/ | ||
private subtraction32(n1: number, n2: number): number { | ||
return n1 < n2 | ||
? this.unsigned32((0x100000000 - (n2 - n1)) & 0xffffffff) | ||
: n1 - n2; | ||
} | ||
|
||
/** | ||
* Emulates overflow of a c 32-bits unsigned integer variable, instead of the operator +. | ||
* these both arguments must be non-negative integers expressible using unsigned 32 bits. | ||
* | ||
* @param n1 number one for addition | ||
* @param n2 number two for addition | ||
*/ | ||
private addition32(n1: number, n2: number): number { | ||
return this.unsigned32((n1 + n2) & 0xffffffff); | ||
} | ||
|
||
/** | ||
* Emulates overflow of a c 32-bits unsigned integer variable, instead of the operator *. | ||
* These both arguments must be non-negative integers expressible using unsigned 32 bits. | ||
* | ||
* @param n1 number one for multiplication | ||
* @param n2 number two for multiplication | ||
*/ | ||
private multiplication32(n1: number, n2: number): number { | ||
let sum = 0; | ||
for (let i = 0; i < 32; ++i) { | ||
if ((n1 >>> i) & 0x1) { | ||
sum = this.addition32(sum, this.unsigned32(n2 << i)); | ||
} | ||
} | ||
return sum; | ||
} | ||
|
||
/** | ||
* Initializes mt[N] with a seed. | ||
* | ||
* @param seed the seed to use | ||
*/ | ||
initGenrand(seed: number): void { | ||
this.mt[0] = this.unsigned32(seed & 0xffffffff); | ||
for (this.mti = 1; this.mti < this.N; this.mti++) { | ||
this.mt[this.mti] = | ||
//(1812433253 * (mt[mti-1] ^ (mt[mti-1] >> 30)) + mti); | ||
this.addition32( | ||
this.multiplication32( | ||
1812433253, | ||
this.unsigned32( | ||
this.mt[this.mti - 1] ^ (this.mt[this.mti - 1] >>> 30) | ||
) | ||
), | ||
this.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 */ | ||
this.mt[this.mti] = this.unsigned32(this.mt[this.mti] & 0xffffffff); | ||
} | ||
} | ||
|
||
/** | ||
* Initialize by an array with array-length. | ||
* | ||
* @param initKey is the array for initializing keys | ||
* @param keyLength is its length | ||
*/ | ||
initByArray(initKey: number[], keyLength: number): void { | ||
this.initGenrand(19650218); | ||
let i = 1; | ||
let j = 0; | ||
let k = this.N > keyLength ? this.N : keyLength; | ||
for (; k; k--) { | ||
// mt[i] = (mt[i] ^ ((mt[i-1] ^ (mt[i-1] >> 30)) * 1664525)) + init_key[j] + j; | ||
this.mt[i] = this.addition32( | ||
this.addition32( | ||
this.unsigned32( | ||
this.mt[i] ^ | ||
this.multiplication32( | ||
this.unsigned32(this.mt[i - 1] ^ (this.mt[i - 1] >>> 30)), | ||
1664525 | ||
) | ||
), | ||
initKey[j] | ||
), | ||
j | ||
); | ||
// mt[i] &= 0xffffffff; for WORDSIZE > 32 machines | ||
this.mt[i] = this.unsigned32(this.mt[i] & 0xffffffff); | ||
i++; | ||
j++; | ||
if (i >= this.N) { | ||
this.mt[0] = this.mt[this.N - 1]; | ||
i = 1; | ||
} | ||
if (j >= keyLength) { | ||
j = 0; | ||
} | ||
} | ||
for (k = this.N - 1; k; k--) { | ||
// mt[i] = (mt[i] ^ ((mt[i-1] ^ (mt[i-1] >> 30)) * 1566083941)) - i | ||
this.mt[i] = this.subtraction32( | ||
this.unsigned32( | ||
this.mt[i] ^ | ||
this.multiplication32( | ||
this.unsigned32(this.mt[i - 1] ^ (this.mt[i - 1] >>> 30)), | ||
1566083941 | ||
) | ||
), | ||
i | ||
); | ||
// mt[i] &= 0xffffffff; for WORDSIZE > 32 machines | ||
this.mt[i] = this.unsigned32(this.mt[i] & 0xffffffff); | ||
i++; | ||
if (i >= this.N) { | ||
this.mt[0] = this.mt[this.N - 1]; | ||
i = 1; | ||
} | ||
} | ||
this.mt[0] = 0x80000000; // MSB is 1; assuring non-zero initial array | ||
} | ||
|
||
// moved outside of genrandInt32() by jwatte 2010-11-17; generate less garbage | ||
private mag01 = [0x0, this.MATRIX_A]; | ||
|
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/** | ||
* Generates a random number on [0,2^32]-interval | ||
*/ | ||
genrandInt32(): number { | ||
let y: number; | ||
|
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if (this.mti >= this.N) { | ||
// generate N words at one time | ||
let kk: number; | ||
|
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// if initGenrand() has not been called a default initial seed is used | ||
if (this.mti === this.N + 1) { | ||
this.initGenrand(5489); | ||
} | ||
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for (kk = 0; kk < this.N - this.M; kk++) { | ||
y = this.unsigned32( | ||
(this.mt[kk] & this.UPPER_MASK) | (this.mt[kk + 1] & this.LOWER_MASK) | ||
); | ||
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this.mt[kk] = this.unsigned32( | ||
this.mt[kk + this.M] ^ (y >>> 1) ^ this.mag01[y & 0x1] | ||
); | ||
} | ||
|
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for (; kk < this.N - 1; kk++) { | ||
y = this.unsigned32( | ||
(this.mt[kk] & this.UPPER_MASK) | (this.mt[kk + 1] & this.LOWER_MASK) | ||
); | ||
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||
this.mt[kk] = this.unsigned32( | ||
this.mt[kk + (this.M - this.N)] ^ (y >>> 1) ^ this.mag01[y & 0x1] | ||
); | ||
} | ||
|
||
y = this.unsigned32( | ||
(this.mt[this.N - 1] & this.UPPER_MASK) | (this.mt[0] & this.LOWER_MASK) | ||
); | ||
|
||
this.mt[this.N - 1] = this.unsigned32( | ||
this.mt[this.M - 1] ^ (y >>> 1) ^ this.mag01[y & 0x1] | ||
); | ||
|
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this.mti = 0; | ||
} | ||
|
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y = this.mt[this.mti++]; | ||
|
||
// Tempering | ||
y = this.unsigned32(y ^ (y >>> 11)); | ||
y = this.unsigned32(y ^ ((y << 7) & 0x9d2c5680)); | ||
y = this.unsigned32(y ^ ((y << 15) & 0xefc60000)); | ||
y = this.unsigned32(y ^ (y >>> 18)); | ||
|
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return y; | ||
} | ||
|
||
/** | ||
* Generates a random number on [0,2^32]-interval | ||
*/ | ||
genrandInt31(): number { | ||
return this.genrandInt32() >>> 1; | ||
} | ||
|
||
/** | ||
* Generates a random number on [0,1]-real-interval | ||
*/ | ||
genrandReal1(): number { | ||
return this.genrandInt32() * (1.0 / 4294967295.0); // divided by 2^32-1 | ||
} | ||
|
||
/** | ||
* Generates a random number on [0,1)-real-interval | ||
*/ | ||
genrandReal2(): number { | ||
return this.genrandInt32() * (1.0 / 4294967296.0); // divided by 2^32 | ||
} | ||
|
||
/** | ||
* Generates a random number on (0,1)-real-interval | ||
*/ | ||
genrandReal3(): number { | ||
return (this.genrandInt32() + 0.5) * (1.0 / 4294967296.0); // divided by 2^32 | ||
} | ||
|
||
/** | ||
* Generates a random number on [0,1) with 53-bit resolution | ||
*/ | ||
genrandRes53(): number { | ||
const a = this.genrandInt32() >>> 5, | ||
b = this.genrandInt32() >>> 6; | ||
return (a * 67108864.0 + b) * (1.0 / 9007199254740992.0); | ||
} | ||
// These real versions are due to Isaku Wada, 2002/01/09 | ||
} |
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