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March 30, 2023 13:42
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This is a simple app that displays "Yes" or "No" to a random number
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/* the working copy of this as of 2023 03 30 at 09:00 is https://jsbin.com/varoyit/edit?output */ | |
/* | |
I've wrapped Makoto Matsumoto and Takuji Nishimura's code in a namespace | |
so it's better encapsulated. Now you can have multiple random number generators | |
and they won't stomp all over each other's state. | |
If you want to use this as a substitute for Math.random(), use the random() | |
method like so: | |
var m = new MersenneTwister(); | |
var randomNumber = m.random(); | |
You can also call the other genrand_{foo}() methods on the instance. | |
If you want to use a specific seed in order to get a repeatable random | |
sequence, pass an integer into the constructor: | |
var m = new MersenneTwister(123); | |
and that will always produce the same random sequence. | |
Sean McCullough ([email protected]) | |
*/ | |
/* | |
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) | |
*/ | |
var MersenneTwister = function (seed) { | |
if (seed == undefined) { | |
seed = new Date().getTime(); | |
} | |
/* Period parameters */ | |
this.N = 624; | |
this.M = 397; | |
this.MATRIX_A = 0x9908b0df; /* constant vector a */ | |
this.UPPER_MASK = 0x80000000; /* most significant w-r bits */ | |
this.LOWER_MASK = 0x7fffffff; /* least significant r bits */ | |
this.mt = new Array(this.N); /* the array for the state vector */ | |
this.mti = this.N + 1; /* mti==N+1 means mt[N] is not initialized */ | |
this.init_genrand(seed); | |
}; | |
/* initializes mt[N] with a seed */ | |
MersenneTwister.prototype.init_genrand = function (s) { | |
this.mt[0] = s >>> 0; | |
for (this.mti = 1; this.mti < this.N; this.mti++) { | |
var s = this.mt[this.mti - 1] ^ (this.mt[this.mti - 1] >>> 30); | |
this.mt[this.mti] = (((((s & 0xffff0000) >>> 16) * 1812433253) << 16) + (s & 0x0000ffff) * 1812433253) | |
+ 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] >>>= 0; | |
/* for >32 bit machines */ | |
} | |
}; | |
/* initialize by an array with array-length */ | |
/* init_key is the array for initializing keys */ | |
/* key_length is its length */ | |
/* slight change for C++, 2004/2/26 */ | |
MersenneTwister.prototype.init_by_array = function (init_key, key_length) { | |
var i, j, k; | |
this.init_genrand(19650218); | |
i = 1; j = 0; | |
k = (this.N > key_length ? this.N : key_length); | |
for (; k; k--) { | |
var s = this.mt[i - 1] ^ (this.mt[i - 1] >>> 30) | |
this.mt[i] = (this.mt[i] ^ (((((s & 0xffff0000) >>> 16) * 1664525) << 16) + ((s & 0x0000ffff) * 1664525))) | |
+ init_key[j] + j; /* non linear */ | |
this.mt[i] >>>= 0; /* for WORDSIZE > 32 machines */ | |
i++; j++; | |
if (i >= this.N) { this.mt[0] = this.mt[this.N - 1]; i = 1; } | |
if (j >= key_length) j = 0; | |
} | |
for (k = this.N - 1; k; k--) { | |
var s = this.mt[i - 1] ^ (this.mt[i - 1] >>> 30); | |
this.mt[i] = (this.mt[i] ^ (((((s & 0xffff0000) >>> 16) * 1566083941) << 16) + (s & 0x0000ffff) * 1566083941)) | |
- i; /* non linear */ | |
this.mt[i] >>>= 0; /* for WORDSIZE > 32 machines */ | |
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 */ | |
}; | |
/* generates a random number on [0,0xffffffff]-interval */ | |
MersenneTwister.prototype.genrand_int32 = function () { | |
var y; | |
var mag01 = new Array(0x0, this.MATRIX_A); | |
/* mag01[x] = x * MATRIX_A for x=0,1 */ | |
if (this.mti >= this.N) { /* generate N words at one time */ | |
var kk; | |
if (this.mti == this.N + 1) /* if init_genrand() has not been called, */ | |
this.init_genrand(5489); /* a default initial seed is used */ | |
for (kk = 0; kk < this.N - this.M; kk++) { | |
y = (this.mt[kk] & this.UPPER_MASK) | (this.mt[kk + 1] & this.LOWER_MASK); | |
this.mt[kk] = this.mt[kk + this.M] ^ (y >>> 1) ^ mag01[y & 0x1]; | |
} | |
for (; kk < this.N - 1; kk++) { | |
y = (this.mt[kk] & this.UPPER_MASK) | (this.mt[kk + 1] & this.LOWER_MASK); | |
this.mt[kk] = this.mt[kk + (this.M - this.N)] ^ (y >>> 1) ^ mag01[y & 0x1]; | |
} | |
y = (this.mt[this.N - 1] & this.UPPER_MASK) | (this.mt[0] & this.LOWER_MASK); | |
this.mt[this.N - 1] = this.mt[this.M - 1] ^ (y >>> 1) ^ mag01[y & 0x1]; | |
this.mti = 0; | |
} | |
y = this.mt[this.mti++]; | |
/* Tempering */ | |
y ^= (y >>> 11); | |
y ^= (y << 7) & 0x9d2c5680; | |
y ^= (y << 15) & 0xefc60000; | |
y ^= (y >>> 18); | |
return y >>> 0; | |
}; | |
/* generates a random number on [0,0x7fffffff]-interval */ | |
MersenneTwister.prototype.genrand_int31 = function () { | |
return (this.genrand_int32() >>> 1); | |
}; | |
/* generates a random number on [0,1]-real-interval */ | |
MersenneTwister.prototype.genrand_real1 = function () { | |
return this.genrand_int32() * (1.0 / 4294967295.0); | |
/* divided by 2^32-1 */ | |
}; | |
/* generates a random number on [0,1)-real-interval */ | |
MersenneTwister.prototype.random = function () { | |
return this.genrand_int32() * (1.0 / 4294967296.0); | |
/* divided by 2^32 */ | |
}; | |
/* generates a random number on (0,1)-real-interval */ | |
MersenneTwister.prototype.genrand_real3 = function () { | |
return (this.genrand_int32() + 0.5) * (1.0 / 4294967296.0); | |
/* divided by 2^32 */ | |
}; | |
/* generates a random number on [0,1) with 53-bit resolution*/ | |
MersenneTwister.prototype.genrand_res53 = function () { | |
var a = this.genrand_int32() >>> 5, b = this.genrand_int32() >>> 6; | |
return (a * 67108864.0 + b) * (1.0 / 9007199254740992.0); | |
}; | |
/* These real versions are due to Isaku Wada, 2002/01/09 added */ | |
var m = new MersenneTwister(); | |
var ycount = 0, ncount = 0; | |
var prev = ""; | |
var out = function () { | |
var rand = m.random(); | |
rand >= 0.5 ? ycount++ : ncount++; | |
$('#a').html("The answer to whatever you asked" | |
+ " is: " | |
+ (rand >= 0.5 ? "Yes" : "No") | |
+ "<br> (Actual value: " | |
+ rand.toString().substring(0, 5) | |
+ "<br> (Previous value: " | |
+ prev.toString().substring(0, 5) | |
+ ")<br> ycount: " + ycount + ", ncount:" + ncount); | |
prev = rand; | |
}; | |
out(); | |
/* html for this: | |
<!DOCTYPE html> | |
<html> | |
<head> | |
<meta charset="utf-8"> | |
<meta name="viewport" content="width=device-width"> | |
<title>Simple Bit</title> | |
</head> | |
<body> | |
<script src="https://code.jquery.com/jquery-3.1.0.js"></script> | |
<h1> | |
Simple Bit | |
</h1> | |
<div style="font-family:Calibri, Arial, sans-serif; height: 150%;"> | |
<div> | |
The point of this app is that you think of something | |
you want to know, any yes or no question. The more | |
detailed you can imagine it in your mind, the better.<br /><br /> | |
It's basically like a binary Magic 8-ball (which I | |
believe is trademarked). It's named after "Bit" in | |
the movie, Tron. <br /><br /> | |
The intent is that Simple Bit be used for mindfulness, | |
perhaps even as a tool to help reduce anxiety. It | |
is not intended for medical purposes, however. | |
</div> | |
<div> </div> | |
<div>Imagine you just asked a question…<br /><br /></div> | |
</div> | |
<div id="a" style="padding-left:1em;font-family:Consolas, serif"></div> | |
<div><br /><br /> | |
<div style="font-family:Calibri, Arial, sans-serif; padding-bottom:0.2em;"> | |
Click/touch "Next" to get your next random answer | |
</div> | |
<button onclick="out(); return false;" style="height:3 em;">Next</button></div> | |
<div id="b" style="padding-left:1em;font-family:Consolas, serif"></div> | |
<p>.</p> | |
</body> | |
</html> | |
*/ |
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