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| 1 | +<!-- |
| 2 | +
|
| 3 | +@license Apache-2.0 |
| 4 | +
|
| 5 | +Copyright (c) 2018 The Stdlib Authors. |
| 6 | +
|
| 7 | +Licensed under the Apache License, Version 2.0 (the "License"); |
| 8 | +you may not use this file except in compliance with the License. |
| 9 | +You may obtain a copy of the License at |
| 10 | +
|
| 11 | + http://www.apache.org/licenses/LICENSE-2.0 |
| 12 | +
|
| 13 | +Unless required by applicable law or agreed to in writing, software |
| 14 | +distributed under the License is distributed on an "AS IS" BASIS, |
| 15 | +WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. |
| 16 | +See the License for the specific language governing permissions and |
| 17 | +limitations under the License. |
| 18 | +
|
| 19 | +--> |
| 20 | + |
| 21 | +# Bernoulli Random Numbers |
| 22 | + |
| 23 | +> [Bernoulli][bernoulli] distributed pseudorandom numbers. |
| 24 | +
|
| 25 | +<section class="usage"> |
| 26 | + |
| 27 | +## Usage |
| 28 | + |
| 29 | +```javascript |
| 30 | +var bernoulli = require( '@stdlib/random/base/bernoulli' ); |
| 31 | +``` |
| 32 | + |
| 33 | +#### bernoulli( p ) |
| 34 | + |
| 35 | +Returns a pseudorandom number drawn from a [Bernoulli][bernoulli] distribution with success probability `p`. |
| 36 | + |
| 37 | +```javascript |
| 38 | +var r = bernoulli( 0.8 ); |
| 39 | +// returns <number> |
| 40 | +``` |
| 41 | + |
| 42 | +If `p < 0` or `p > 1`, the function returns `NaN`. |
| 43 | + |
| 44 | +```javascript |
| 45 | +var r = bernoulli( 3.14 ); |
| 46 | +// returns NaN |
| 47 | + |
| 48 | +r = bernoulli( -0.5 ); |
| 49 | +// returns NaN |
| 50 | +``` |
| 51 | + |
| 52 | +If `p` is `NaN`, the function returns `NaN`. |
| 53 | + |
| 54 | +```javascript |
| 55 | +var r = bernoulli( NaN ); |
| 56 | +// returns NaN |
| 57 | +``` |
| 58 | + |
| 59 | +#### bernoulli.factory( \[p, ]\[options] ) |
| 60 | + |
| 61 | +Returns a pseudorandom number generator (PRNG) for generating pseudorandom numbers drawn from a [Bernoulli][bernoulli] distribution. |
| 62 | + |
| 63 | +```javascript |
| 64 | +var rand = bernoulli.factory(); |
| 65 | + |
| 66 | +var r = rand( 0.3 ); |
| 67 | +// returns <number> |
| 68 | +``` |
| 69 | + |
| 70 | +If provided `p`, the returned generator returns random variates from the specified distribution. |
| 71 | + |
| 72 | +```javascript |
| 73 | +var rand = bernoulli.factory( 0.6 ); |
| 74 | + |
| 75 | +var r = rand(); |
| 76 | +// returns <number> |
| 77 | + |
| 78 | +r = rand(); |
| 79 | +// returns <number> |
| 80 | +``` |
| 81 | + |
| 82 | +If not provided `p`, the returned generator requires that `p` be provided at each invocation. |
| 83 | + |
| 84 | +```javascript |
| 85 | +var rand = bernoulli.factory(); |
| 86 | + |
| 87 | +var r = rand( 0.67 ); |
| 88 | +// returns <number> |
| 89 | + |
| 90 | +r = rand( 0.42 ); |
| 91 | +// returns <number> |
| 92 | +``` |
| 93 | + |
| 94 | +The function accepts the following `options`: |
| 95 | + |
| 96 | +- **seed**: pseudorandom number generator seed. |
| 97 | + |
| 98 | +To seed a pseudorandom number generator, set the `seed` option. |
| 99 | + |
| 100 | +```javascript |
| 101 | +var rand = bernoulli.factory({ |
| 102 | + 'seed': 12345 |
| 103 | +}); |
| 104 | + |
| 105 | +var r = bernoulli( 0.9 ); |
| 106 | +// returns <number> |
| 107 | + |
| 108 | +rand = bernoulli.factory( 0.2, { |
| 109 | + 'seed': 12345 |
| 110 | +}); |
| 111 | + |
| 112 | +r = rand(); |
| 113 | +// returns <number> |
| 114 | +``` |
| 115 | + |
| 116 | +#### bernoulli.NAME |
| 117 | + |
| 118 | +The generator name. |
| 119 | + |
| 120 | +```javascript |
| 121 | +var str = bernoulli.NAME; |
| 122 | +// returns 'bernoulli' |
| 123 | +``` |
| 124 | + |
| 125 | +#### bernoulli.PRNG |
| 126 | + |
| 127 | +The underlying pseudorandom number generator. |
| 128 | + |
| 129 | +```javascript |
| 130 | +var prng = bernoulli.PRNG; |
| 131 | +// returns <Function> |
| 132 | +``` |
| 133 | + |
| 134 | +#### bernoulli.SEED |
| 135 | + |
| 136 | +The value used to seed `bernoulli()`. |
| 137 | + |
| 138 | +```javascript |
| 139 | +var rand; |
| 140 | +var r; |
| 141 | +var i; |
| 142 | + |
| 143 | +// Generate pseudorandom values... |
| 144 | +for ( i = 0; i < 100; i++ ) { |
| 145 | + r = bernoulli( 20, 0.5 ); |
| 146 | +} |
| 147 | + |
| 148 | +// Generate the same pseudorandom values... |
| 149 | +rand = bernoulli.factory( 20, 0.5, { |
| 150 | + 'seed': bernoulli.SEED |
| 151 | +}); |
| 152 | +for ( i = 0; i < 100; i++ ) { |
| 153 | + r = rand(); |
| 154 | +} |
| 155 | +``` |
| 156 | + |
| 157 | +</section> |
| 158 | + |
| 159 | +<!-- /.usage --> |
| 160 | + |
| 161 | +<section class="examples"> |
| 162 | + |
| 163 | +## Examples |
| 164 | + |
| 165 | +<!-- eslint no-undef: "error" --> |
| 166 | + |
| 167 | +```javascript |
| 168 | +var bernoulli = require( '@stdlib/random/base/bernoulli' ); |
| 169 | + |
| 170 | +var seed; |
| 171 | +var rand; |
| 172 | +var i; |
| 173 | + |
| 174 | +// Generate pseudorandom numbers... |
| 175 | +console.log( '\nseed: %d', bernoulli.SEED ); |
| 176 | +for ( i = 0; i < 100; i++ ) { |
| 177 | + console.log( bernoulli( 0.4 ) ); |
| 178 | +} |
| 179 | + |
| 180 | +// Create a new pseudorandom number generator... |
| 181 | +seed = 1234; |
| 182 | +rand = bernoulli.factory( 0.4, { |
| 183 | + 'seed': seed |
| 184 | +}); |
| 185 | +console.log( '\nseed: %d', seed ); |
| 186 | +for ( i = 0; i < 100; i++ ) { |
| 187 | + console.log( rand() ); |
| 188 | +} |
| 189 | + |
| 190 | +// Create another pseudorandom number generator using a previous seed... |
| 191 | +rand = bernoulli.factory( 0.4, { |
| 192 | + 'seed': bernoulli.SEED |
| 193 | +}); |
| 194 | +console.log( '\nseed: %d', bernoulli.SEED ); |
| 195 | +for ( i = 0; i < 100; i++ ) { |
| 196 | + console.log( rand() ); |
| 197 | +} |
| 198 | +``` |
| 199 | + |
| 200 | +</section> |
| 201 | + |
| 202 | +<!-- /.examples --> |
| 203 | + |
| 204 | +<section class="links"> |
| 205 | + |
| 206 | +[bernoulli]: https://en.wikipedia.org/wiki/Bernoulli_distribution |
| 207 | + |
| 208 | +</section> |
| 209 | + |
| 210 | +<!-- /.links --> |
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