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Core: Random refactored with xoshiro256**
git-svn-id: svn://ultimatepp.org/upp/trunk@13393 f0d560ea-af0d-0410-9eb7-867de7ffcac7
This commit is contained in:
parent
adc94a71c2
commit
1cbd73441c
3 changed files with 133 additions and 275 deletions
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@ -2,277 +2,141 @@
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namespace Upp {
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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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/* Written in 2018 by David Blackman and Sebastiano Vigna (vigna@acm.org)
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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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To the extent possible under law, the author has dedicated all copyright
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and related and neighboring rights to this software to the public domain
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worldwide. This software is distributed without any warranty.
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Copyright (C) 1997 - 2002, Makoto Matsumoto and Takuji Nishimura,
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All rights reserved.
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See <http://creativecommons.org/publicdomain/zero/1.0/>. */
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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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/* This is xoshiro256** 1.0, our all-purpose, rock-solid generator. It has
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excellent (sub-ns) speed, a state (256 bits) that is large enough for
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any parallel application, and it passes all tests we are aware of.
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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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For generating just floating-point numbers, xoshiro256+ is even faster.
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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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The state must be seeded so that it is not everywhere zero. If you have
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a 64-bit seed, we suggest to seed a splitmix64 generator and use its
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output to fill s. */
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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.keio.ac.jp/matumoto/emt.html
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email: matumoto@math.keio.ac.jp
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*/
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#include <stdio.h>
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/* Period parameters */
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#define N 624
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#define M 397
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#define MATRIX_A 0x9908b0dfUL /* constant vector a */
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#define UPPER_MASK 0x80000000UL /* most significant w-r bits */
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#define LOWER_MASK 0x7fffffffUL /* least significant r bits */
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struct MTrand {
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dword mt[N];
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int mti; /* mti==N+1 means mt[N] is not initialized */
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dword mag01[2];
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#ifdef PLATFORM_POSIX
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int pid;
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#endif
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void seed();
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void init_genrand(dword s);
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void init_by_array(dword *init_key, int key_length);
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dword genrand();
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MTrand();
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};
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/* initializes mt[N] with a seed */
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void MTrand::init_genrand(dword s)
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{
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mt[0]= s & 0xffffffffUL;
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for (mti=1; mti<N; mti++) {
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mt[mti] = (1812433253UL * (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] &= 0xffffffffUL;
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/* for >32 bit machines */
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}
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static force_inline uint64_t s_rotl(const uint64_t x, int k) {
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return (x << k) | (x >> (64 - k)); // GCC/CLANG/MSC happily optimize this
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}
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/* initialize by an array with array-length */
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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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/* slight change for C++, 2004/2/26 */
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void MTrand::init_by_array(dword *init_key, int key_length)
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force_inline
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static uint64 sNext(uint64 *s)
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{
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int i, j, k;
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init_genrand(19650218UL);
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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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mt[i] = (mt[i] ^ ((mt[i-1] ^ (mt[i-1] >> 30)) * 1664525UL))
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+ init_key[j] + j; /* non linear */
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mt[i] &= 0xffffffffUL; /* for WORDSIZE > 32 machines */
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i++; j++;
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if (i>=N) { mt[0] = mt[N-1]; i=1; }
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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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mt[i] = (mt[i] ^ ((mt[i-1] ^ (mt[i-1] >> 30)) * 1566083941UL))
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- i; /* non linear */
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mt[i] &= 0xffffffffUL; /* for WORDSIZE > 32 machines */
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i++;
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if (i>=N) { mt[0] = mt[N-1]; i=1; }
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}
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const uint64_t result_starstar = s_rotl(s[1] * 5, 7) * 9;
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mt[0] = 0x80000000UL; /* MSB is 1; assuring non-zero initial array */
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const uint64_t t = s[1] << 17;
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s[2] ^= s[0];
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s[3] ^= s[1];
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s[1] ^= s[2];
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s[0] ^= s[3];
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s[2] ^= t;
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s[3] = s_rotl(s[3], 45);
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return result_starstar;
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}
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/* generates a random number on [0,0xffffffff]-interval */
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dword MTrand::genrand()
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never_inline
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static void sSeed(uint64 *s)
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{
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dword y;
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if (mti >= N) { /* generate N words at one time */
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int kk;
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for (kk=0;kk<N-M;kk++) {
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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 & 0x1UL];
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}
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for (;kk<N-1;kk++) {
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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 & 0x1UL];
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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 & 0x1UL];
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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) & 0x9d2c5680UL;
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y ^= (y << 15) & 0xefc60000UL;
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y ^= (y >> 18);
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return y;
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}
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#ifdef PLATFORM_WIN32
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#define Ptr Ptr_
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#include <objbase.h>
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#undef Ptr
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#pragma comment(lib, "ole32.lib")
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#endif
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MTrand::MTrand()
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{
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mti = N + 1;
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mag01[0] = 0;
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mag01[1] = MATRIX_A;
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seed();
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#ifdef PLATFORM_POSIX
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pid = getpid();
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#endif
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}
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void MTrand::seed()
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{
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dword seed[1024];
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#ifdef PLATFORM_POSIX
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int fd = open("/dev/urandom", O_RDONLY);
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if(fd != -1) {
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IGNORE_RESULT(
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read(fd, seed, sizeof(seed))
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);
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read(fd, s, 4 * sizeof(uint64))
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);
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close(fd);
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}
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#else
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for(int i = 0; i < 1024; i++) {
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Uuid uuid;
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CoCreateGuid((GUID *)&uuid);
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seed[i] = GetHashValue(uuid);
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for(int pass = 0; pass < 4; pass++) {
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for(int i = 0; i < 4; i++) {
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uint64 h = 0;
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for(int p = 0; p < 2; p++) {
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Uuid uuid;
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CoCreateGuid((GUID *)&uuid);
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h = (h << 32) | GetHashValue(uuid);
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}
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s[i] ^= h;
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}
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}
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#endif
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init_by_array(seed, 1024);
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}
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#ifdef CPU_BLACKFIN
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//on blackfin toolchain we dont have TLS support, but we can live here without
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MTrand *sRng;
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byte sRb[sizeof(MTrand)];
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force_inline
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static uint64 *sState()
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{
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#ifdef COMPILER_MINGW
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FastMingwTls<uint64 *> s;
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#else
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thread_local MTrand *sRng;
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thread_local byte sRb[sizeof(MTrand)];
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thread_local uint64 *s;
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#endif
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if(!s) {
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thread_local uint64 state[4];
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s = state;
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sSeed(s);
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#ifdef PLATFORM_POSIX
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if(Thread::IsMain()) // non-main threads do now work with fork anyway
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pthread_atfork(NULL, NULL, [] { sSeed(s); }); // reseed random generator after fork
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#endif
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}
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return s;
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}
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never_inline
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dword Random(void) {
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return (dword)sNext(sState());
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}
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never_inline
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uint64 Random64(void) {
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return sNext(sState());
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}
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never_inline
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dword Random(dword n) {
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ASSERT(n);
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uint64 *s = sState();
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dword mask = (1 << SignificantBits(n)) - 1;
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dword r;
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do
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r = (dword)sNext(s) & mask;
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while(r >= n);
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return r;
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}
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never_inline
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uint64 Random64(uint64 n) {
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ASSERT(n);
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uint64 *s = sState();
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uint64 mask = ((uint64)1 << SignificantBits64(n)) - 1;
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uint64 r;
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do
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r = sNext(s) & mask;
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while(r >= n);
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return r;
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}
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never_inline
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double Randomf()
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{
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return (sNext(sState()) >> 11) * (1. / (UINT64_C(1) << 53));
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}
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void SeedRandom()
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{
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if(!sRng) {
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sRng = new(sRb) MTrand;
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}
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sRng->seed();
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}
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void SeedRandom(dword *seed, int len){
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if(!sRng) {
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sRng = new(sRb) MTrand;
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}
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sRng->init_by_array(seed, len);
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sSeed(sState());
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}
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void SeedRandom(dword seed) {
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if(!sRng) {
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sRng = new(sRb) MTrand;
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}
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sRng->init_genrand(seed);
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}
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dword Random()
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{
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if(!sRng) {
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sRng = new(sRb) MTrand;
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}
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#ifdef PLATFORM_POSIX // Be fork safe...
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int pid = getpid();
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if(sRng->pid != pid) {
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sRng->seed();
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sRng->pid = pid;
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}
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#endif
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return sRng->genrand();
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}
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dword Random(dword n)
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{
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ASSERT(n);
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dword mask = n;
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mask |= mask >> 1;
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mask |= mask >> 2;
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mask |= mask >> 4;
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mask |= mask >> 8;
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mask |= mask >> 16;
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dword r;
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do
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r = Random() & mask;
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while(r >= n);
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return r;
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}
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qword Random64()
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{
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return MAKEQWORD(Random(), Random());
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}
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qword Random64(qword n)
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{
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qword mask = n, r;
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mask |= mask >> 1; mask |= mask >> 2;
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mask |= mask >> 4; mask |= mask >> 8;
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mask |= mask >> 16; mask |= mask >> 32;
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do
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r = Random64() & mask;
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while(r >= n);
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return r;
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}
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double Randomf()
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{
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return Random64(I64(4503599627370496)) / 4503599627370496.0;
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uint64 *s = sState();
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s[0] = s[1] = s[2] = s[3] = seed + 12345678;
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}
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}
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@ -265,11 +265,11 @@ inline void Dbl_Self(T *x)
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#define ZeroArray(x) memset((x), 0, sizeof(x))
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dword Random();
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dword Random(dword n);
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qword Random64();
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qword Random64(qword n);
|
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double Randomf();
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dword Random();
|
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dword Random(dword n);
|
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uint64 Random64();
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uint64 Random64(uint64 n);
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double Randomf();
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void SeedRandom(dword *seed, int len);
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void SeedRandom(dword seed);
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|
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@ -1,5 +1,4 @@
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topic "Math utility";
|
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[2 $$0,0#00000000000000000000000000000000:Default]
|
||||
[i448;a25;kKO9;2 $$1,0#37138531426314131252341829483380:class]
|
||||
[l288;2 $$2,0#27521748481378242620020725143825:desc]
|
||||
[0 $$3,0#96390100711032703541132217272105:end]
|
||||
|
|
@ -9,6 +8,7 @@ topic "Math utility";
|
|||
[l288;i1121;b17;O9;~~~.1408;2 $$7,0#10431211400427159095818037425705:param]
|
||||
[i448;b42;O9;2 $$8,8#61672508125594000341940100500538:tparam]
|
||||
[b42;2 $$9,9#13035079074754324216151401829390:normal]
|
||||
[2 $$0,0#00000000000000000000000000000000:Default]
|
||||
[{_}
|
||||
[ {{10000@(113.42.0) [s0;%% [*@7;4 Math utility]]}}&]
|
||||
[s3; &]
|
||||
|
|
@ -81,22 +81,37 @@ topic "Math utility";
|
|||
[s3; &]
|
||||
[s5;:Random`(`): [_^topic`:`/`/Core`/src`/PrimitiveDataTypes`$en`-us`#Upp`:`:dword`:`:typedef^ d
|
||||
word]_[* Random]()&]
|
||||
[s2;%% Returns the next random generated number. MT safe and efficient
|
||||
variant of Merssene twister MT19937 by Takuji Nishimura and Makoto
|
||||
Matsumoto is used to get random numbers, with the seed obtained
|
||||
from host platform specific resources (`'/dev/urandom`' in Posix
|
||||
systems, GUID generator in Win32).&]
|
||||
[s2;%% Returns the next random generated number. Algorithm used is
|
||||
xoshiro256`*`*, with seed obtained from host platform specific
|
||||
resources (`'/dev/urandom`' in Posix systems, GUID generator
|
||||
in Win32).&]
|
||||
[s3;%% &]
|
||||
[s4; &]
|
||||
[s5;:SeedRandom`(dword`*`,int`): [@(0.0.255) void]_[* SeedRandom]([_^topic`:`/`/Core`/src`/PrimitiveDataTypes`$en`-us`#Upp`:`:dword`:`:typedef^ d
|
||||
word]_`*[*@3 seed],[@(0.0.255) int]_[*@3 len])&]
|
||||
[s2;%% Seeds random with buffer.&]
|
||||
[s5;:Random`(dword`): [_^topic`:`/`/Core`/src`/PrimitiveDataTypes`$en`-us`#Upp`:`:dword`:`:typedef^ d
|
||||
word]_[* Random]([_^topic`:`/`/Core`/src`/PrimitiveDataTypes`$en`-us`#Upp`:`:dword`:`:typedef^ d
|
||||
word]_[*@3 n])&]
|
||||
[s2; Returns random generated number smaller than [*@3 n].&]
|
||||
[s3;%% &]
|
||||
[s4; &]
|
||||
[s5;:Random64`(`): [_^topic`:`/`/Core`/src`/PrimitiveDataTypes`$en`-us`#Upp`:`:qword`:`:typedef^ q
|
||||
word]_[* Random64]()&]
|
||||
[s2;%% Returns 64bit random number.&]
|
||||
[s3; &]
|
||||
[s4; &]
|
||||
[s5;:Upp`:`:Random64`(Upp`:`:uint64`): [_^Upp`:`:uint64^ uint64]_[* Random64]([_^Upp`:`:uint64^ u
|
||||
int64]_[*@3 n])&]
|
||||
[s2; [%% Returns the 64bit random number] smaller than [*@3 n].&]
|
||||
[s3; &]
|
||||
[s4; &]
|
||||
[s5;:Randomf`(`): [@(0.0.255) double]_[* Randomf]()&]
|
||||
[s2;%% Returns the floating point number <0, 1).&]
|
||||
[s3;%% &]
|
||||
[s4; &]
|
||||
[s5;:SeedRandom`(dword`): [@(0.0.255) void]_[* SeedRandom]([_^topic`:`/`/Core`/src`/PrimitiveDataTypes`$en`-us`#Upp`:`:dword`:`:typedef^ d
|
||||
word]_[*@3 seed])&]
|
||||
[s2;%% Seeds random with single value [%-*@3 seed]. This is good to
|
||||
get always the same sequence of numbers (for the same seed).&]
|
||||
get always the same sequence of numbers (for the same seed).
|
||||
Usually used for testing.&]
|
||||
[s3;%% &]
|
||||
[s4; &]
|
||||
[s5;:Upp`:`:SeedRandom`(`): [@(0.0.255) void]_[* SeedRandom]()&]
|
||||
|
|
@ -106,27 +121,6 @@ Random after seeding it with fixed value.&]
|
|||
[s4; &]
|
||||
[s5;:ZeroArray`(x`): [* ZeroArray]([*@3 x])&]
|
||||
[s2;%% Fills C array [%-*@3 x] with zeros.&]
|
||||
[s3;%% &]
|
||||
[s4; &]
|
||||
[s5;:Random`(dword`): [_^topic`:`/`/Core`/src`/PrimitiveDataTypes`$en`-us`#Upp`:`:dword`:`:typedef^ d
|
||||
word]_[* Random]([_^topic`:`/`/Core`/src`/PrimitiveDataTypes`$en`-us`#Upp`:`:dword`:`:typedef^ d
|
||||
word]_[*@3 n])&]
|
||||
[s2; Returns the next random generated number smaller than [*@3 n].&]
|
||||
[s3;%% &]
|
||||
[s4; &]
|
||||
[s5;:Random64`(`): [_^topic`:`/`/Core`/src`/PrimitiveDataTypes`$en`-us`#Upp`:`:qword`:`:typedef^ q
|
||||
word]_[* Random64]()&]
|
||||
[s2;%% Returns the 64bit random number.&]
|
||||
[s3; &]
|
||||
[s4; &]
|
||||
[s5;:Random64`(qword`): [_^topic`:`/`/Core`/src`/PrimitiveDataTypes`$en`-us`#Upp`:`:qword`:`:typedef^ q
|
||||
word]_[* Random64]([_^topic`:`/`/Core`/src`/PrimitiveDataTypes`$en`-us`#Upp`:`:qword`:`:typedef^ q
|
||||
word]_[*@3 n])&]
|
||||
[s2; [%% Returns the 64bit random number] smaller than [*@3 n].&]
|
||||
[s3;%% &]
|
||||
[s4; &]
|
||||
[s5;:Randomf`(`): [@(0.0.255) double]_[* Randomf]()&]
|
||||
[s2;%% Returns the floating point number 0..1.&]
|
||||
[s3; &]
|
||||
[s4; &]
|
||||
[s5;:sqr`(double`): [@(0.0.255) double]_[* sqr]_([@(0.0.255) double]_[*@3 a])&]
|
||||
|
|
|
|||
Loading…
Add table
Add a link
Reference in a new issue