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authorPiotr Kuczynski <[email protected]>2022-03-31 19:14:26 +0200
committerGitHub <[email protected]>2022-03-31 17:14:26 +0000
commit0b350f929624a1247f35549c61148ec93e5f0c0a (patch)
tree2728578354fd6255234fca9498f47c23d793945f /src/utils/mersenne.ts
parent58439edf1506c53f9f3b082b9b0f22ba7e8cccf4 (diff)
downloadfaker-0b350f929624a1247f35549c61148ec93e5f0c0a.tar.xz
faker-0b350f929624a1247f35549c61148ec93e5f0c0a.zip
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];
+
+ /**
+ * Generates a random number on [0,2^32]-interval
+ */
+ genrandInt32(): number {
+ let y: number;
+
+ if (this.mti >= this.N) {
+ // generate N words at one time
+ let kk: number;
+
+ // if initGenrand() has not been called a default initial seed is used
+ if (this.mti === this.N + 1) {
+ this.initGenrand(5489);
+ }
+
+ 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)
+ );
+
+ this.mt[kk] = this.unsigned32(
+ this.mt[kk + this.M] ^ (y >>> 1) ^ this.mag01[y & 0x1]
+ );
+ }
+
+ for (; kk < this.N - 1; kk++) {
+ y = this.unsigned32(
+ (this.mt[kk] & this.UPPER_MASK) | (this.mt[kk + 1] & this.LOWER_MASK)
+ );
+
+ 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]
+ );
+
+ this.mti = 0;
+ }
+
+ 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));
+
+ 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
+}