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| 1 | +<!-- |
| 2 | +
|
| 3 | +@license Apache-2.0 |
| 4 | +
|
| 5 | +Copyright (c) 2024 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 | +# lcmf |
| 22 | + |
| 23 | +> Compute the [least common multiple][lcm] (lcm) of two single-precision floating-point numbers. |
| 24 | +
|
| 25 | +<!-- Section to include introductory text. Make sure to keep an empty line after the intro `section` element and another before the `/section` close. --> |
| 26 | + |
| 27 | +<section class="intro"> |
| 28 | + |
| 29 | +The [least common multiple][lcm] (lcm) of two non-zero integers `a` and `b` is the smallest positive integer that is divisible by both `a` and `b`. The lcm is also known as the **lowest common multiple** or **smallest common multiple** and finds common use in calculating the **lowest common denominator** (lcd). |
| 30 | + |
| 31 | +</section> |
| 32 | + |
| 33 | +<!-- /.intro --> |
| 34 | + |
| 35 | +<!-- Package usage documentation. --> |
| 36 | + |
| 37 | +<section class="usage"> |
| 38 | + |
| 39 | +## Usage |
| 40 | + |
| 41 | +```javascript |
| 42 | +var lcmf = require( '@stdlib/math/base/special/lcmf' ); |
| 43 | +``` |
| 44 | + |
| 45 | +#### lcmf( a, b ) |
| 46 | + |
| 47 | +Computes the [least common multiple][lcm] (lcm) of two single-precision floating-point numbers. |
| 48 | + |
| 49 | +```javascript |
| 50 | +var v = lcmf( 48, 18 ); |
| 51 | +// returns 144 |
| 52 | +``` |
| 53 | + |
| 54 | +If either `a` or `b` is `0`, the function returns `0`. |
| 55 | + |
| 56 | +```javascript |
| 57 | +var v = lcmf( 0, 0 ); |
| 58 | +// returns 0 |
| 59 | + |
| 60 | +v = lcmf( 2, 0 ); |
| 61 | +// returns 0 |
| 62 | + |
| 63 | +v = lcmf( 0, 3 ); |
| 64 | +// returns 0 |
| 65 | +``` |
| 66 | + |
| 67 | +Both `a` and `b` must have integer values; otherwise, the function returns `NaN`. |
| 68 | + |
| 69 | +```javascript |
| 70 | +var v = lcmf( 3.14, 18 ); |
| 71 | +// returns NaN |
| 72 | + |
| 73 | +v = lcmf( 48, 3.14 ); |
| 74 | +// returns NaN |
| 75 | + |
| 76 | +v = lcmf( NaN, 18 ); |
| 77 | +// returns NaN |
| 78 | + |
| 79 | +v = lcmf( 48, NaN ); |
| 80 | +// returns NaN |
| 81 | +``` |
| 82 | + |
| 83 | +</section> |
| 84 | + |
| 85 | +<!-- /.usage --> |
| 86 | + |
| 87 | +<!-- Package usage notes. Make sure to keep an empty line after the `section` element and another before the `/section` close. --> |
| 88 | + |
| 89 | +<section class="notes"> |
| 90 | + |
| 91 | +</section> |
| 92 | + |
| 93 | +<!-- /.notes --> |
| 94 | + |
| 95 | +<!-- Package usage examples. --> |
| 96 | + |
| 97 | +<section class="examples"> |
| 98 | + |
| 99 | +## Examples |
| 100 | + |
| 101 | +<!-- eslint no-undef: "error" --> |
| 102 | + |
| 103 | +```javascript |
| 104 | +var randu = require( '@stdlib/random/base/randu' ); |
| 105 | +var roundf = require( '@stdlib/math/base/special/roundf' ); |
| 106 | +var lcmf = require( '@stdlib/math/base/special/lcmf' ); |
| 107 | + |
| 108 | +var a; |
| 109 | +var b; |
| 110 | +var v; |
| 111 | +var i; |
| 112 | + |
| 113 | +for ( i = 0; i < 100; i++ ) { |
| 114 | + a = roundf( randu() * 50 ); |
| 115 | + b = roundf( randu() * 50 ); |
| 116 | + v = lcmf( a, b ); |
| 117 | + console.log( 'lcmf(%d,%d) = %d', a, b, v ); |
| 118 | +} |
| 119 | +``` |
| 120 | + |
| 121 | +</section> |
| 122 | + |
| 123 | +<!-- /.examples --> |
| 124 | + |
| 125 | +<!-- C interface documentation. --> |
| 126 | + |
| 127 | +* * * |
| 128 | + |
| 129 | +<section class="c"> |
| 130 | + |
| 131 | +## C APIs |
| 132 | + |
| 133 | +<!-- Section to include introductory text. Make sure to keep an empty line after the intro `section` element and another before the `/section` close. --> |
| 134 | + |
| 135 | +<section class="intro"> |
| 136 | + |
| 137 | +</section> |
| 138 | + |
| 139 | +<!-- /.intro --> |
| 140 | + |
| 141 | +<!-- C usage documentation. --> |
| 142 | + |
| 143 | +<section class="usage"> |
| 144 | + |
| 145 | +### Usage |
| 146 | + |
| 147 | +```c |
| 148 | +#include "stdlib/math/base/special/lcmf.h" |
| 149 | +``` |
| 150 | + |
| 151 | +#### stdlib_base_lcmf( a, b ) |
| 152 | + |
| 153 | +Computes the [least common multiple][lcm] (lcm) of two single-precision floating-point numbers. |
| 154 | + |
| 155 | +```c |
| 156 | +float v = stdlib_base_lcmf( 48.0f, 18.0f ); |
| 157 | +// returns 144.0f |
| 158 | +``` |
| 159 | + |
| 160 | +The function accepts the following arguments: |
| 161 | + |
| 162 | +- **a**: `[in] float` input value. |
| 163 | +- **b**: `[in] float` input value. |
| 164 | + |
| 165 | +```c |
| 166 | +float stdlib_base_lcmf( const float a, const float b ); |
| 167 | +``` |
| 168 | +
|
| 169 | +</section> |
| 170 | +
|
| 171 | +<!-- /.usage --> |
| 172 | +
|
| 173 | +<!-- C API usage notes. Make sure to keep an empty line after the `section` element and another before the `/section` close. --> |
| 174 | +
|
| 175 | +<section class="notes"> |
| 176 | +
|
| 177 | +</section> |
| 178 | +
|
| 179 | +<!-- /.notes --> |
| 180 | +
|
| 181 | +<!-- C API usage examples. --> |
| 182 | +
|
| 183 | +<section class="examples"> |
| 184 | +
|
| 185 | +### Examples |
| 186 | +
|
| 187 | +```c |
| 188 | +#include "stdlib/math/base/special/lcmf.h" |
| 189 | +#include <stdio.h> |
| 190 | +
|
| 191 | +int main( void ) { |
| 192 | + const float a[] = { 24.0f, 32.0f, 48.0f, 116.0f, 33.0f }; |
| 193 | + const float b[] = { 12.0f, 6.0f, 15.0f, 52.0f, 22.0f }; |
| 194 | +
|
| 195 | + float out; |
| 196 | + int i; |
| 197 | + for ( i = 0; i < 5; i++ ) { |
| 198 | + out = stdlib_base_lcmf( a[ i ], b[ i ] ); |
| 199 | + printf( "lcmf(%f, %f) = %f\n", a[ i ], b[ i ], out ); |
| 200 | + } |
| 201 | +} |
| 202 | +``` |
| 203 | + |
| 204 | +</section> |
| 205 | + |
| 206 | +<!-- /.examples --> |
| 207 | + |
| 208 | +</section> |
| 209 | + |
| 210 | +<!-- /.c --> |
| 211 | + |
| 212 | +<!-- Section to include cited references. If references are included, add a horizontal rule *before* the section. Make sure to keep an empty line after the `section` element and another before the `/section` close. --> |
| 213 | + |
| 214 | +<section class="references"> |
| 215 | + |
| 216 | +</section> |
| 217 | + |
| 218 | +<!-- /.references --> |
| 219 | + |
| 220 | +<!-- Section for related `stdlib` packages. Do not manually edit this section, as it is automatically populated. --> |
| 221 | + |
| 222 | +<section class="related"> |
| 223 | + |
| 224 | +</section> |
| 225 | + |
| 226 | +<!-- /.related --> |
| 227 | + |
| 228 | +<!-- Section for all links. Make sure to keep an empty line after the `section` element and another before the `/section` close. --> |
| 229 | + |
| 230 | +<section class="links"> |
| 231 | + |
| 232 | +[lcm]: https://en.wikipedia.org/wiki/Least_common_multiple |
| 233 | + |
| 234 | +<!-- <related-links> --> |
| 235 | + |
| 236 | +<!-- </related-links> --> |
| 237 | + |
| 238 | +</section> |
| 239 | + |
| 240 | +<!-- /.links --> |
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