README.md (3885B)
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 # Square Root 22 23 > Compute the principal [square root][square-root] of a double-precision floating-point number. 24 25 <section class="intro"> 26 27 The principal [square root][square-root] is defined as 28 29 <!-- <equation class="equation" label="eq:principal_square_root" align="center" raw="\sqrt{x^2} = \begin{matrix} x, & \textrm{if}\ x \geq 0\end{matrix}" alt="Principal square root"> --> 30 31 <div class="equation" align="center" data-raw-text="\sqrt{x^2} = \begin{matrix} x, & \textrm{if}\ x \geq 0\end{matrix}" data-equation="eq:principal_square_root"> 32 <img src="https://cdn.jsdelivr.net/gh/stdlib-js/stdlib@bb29798906e119fcb2af99e94b60407a270c9b32/lib/node_modules/@stdlib/math/base/special/sqrt/docs/img/equation_principal_square_root.svg" alt="Principal square root"> 33 <br> 34 </div> 35 36 <!-- </equation> --> 37 38 </section> 39 40 <!-- /.intro --> 41 42 <section class="usage"> 43 44 ## Usage 45 46 ```javascript 47 var sqrt = require( '@stdlib/math/base/special/sqrt' ); 48 ``` 49 50 #### sqrt( x ) 51 52 Computes the principal [square root][square-root] of a double-precision floating-point number. 53 54 ```javascript 55 var v = sqrt( 4.0 ); 56 // returns 2.0 57 58 v = sqrt( 9.0 ); 59 // returns 3.0 60 61 v = sqrt( 0.0 ); 62 // returns 0.0 63 64 v = sqrt( NaN ); 65 // returns NaN 66 ``` 67 68 For negative numbers, the principal [square root][square-root] is **not** defined. 69 70 ```javascript 71 var v = sqrt( -4.0 ); 72 // returns NaN 73 ``` 74 75 </section> 76 77 <!-- /.usage --> 78 79 <section class="examples"> 80 81 ## Examples 82 83 <!-- eslint no-undef: "error" --> 84 85 ```javascript 86 var randu = require( '@stdlib/random/base/randu' ); 87 var round = require( '@stdlib/math/base/special/round' ); 88 var sqrt = require( '@stdlib/math/base/special/sqrt' ); 89 90 var x; 91 var i; 92 93 for ( i = 0; i < 100; i++ ) { 94 x = round( randu() * 100.0 ); 95 console.log( 'sqrt(%d) = %d', x, sqrt( x ) ); 96 } 97 ``` 98 99 </section> 100 101 <!-- /.examples --> 102 103 <!-- C interface documentation. --> 104 105 * * * 106 107 <section class="c"> 108 109 ## C APIs 110 111 <!-- Section to include introductory text. Make sure to keep an empty line after the intro `section` element and another before the `/section` close. --> 112 113 <section class="intro"> 114 115 </section> 116 117 <!-- /.intro --> 118 119 <!-- C usage documentation. --> 120 121 <section class="usage"> 122 123 ### Usage 124 125 ```c 126 #include "stdlib/math/base/special/sqrt.h" 127 ``` 128 129 #### stdlib_base_sqrt( x ) 130 131 Computes the principal [square root][square-root] of a double-precision floating-point number. 132 133 ```c 134 double y = stdlib_base_sqrt( 9.0 ); 135 // returns 3.0 136 ``` 137 138 The function accepts the following arguments: 139 140 - **x**: `[in] double` input value. 141 142 ```c 143 double stdlib_base_sqrt( const double x ); 144 ``` 145 146 </section> 147 148 <!-- /.usage --> 149 150 <!-- C API usage notes. Make sure to keep an empty line after the `section` element and another before the `/section` close. --> 151 152 <section class="notes"> 153 154 </section> 155 156 <!-- /.notes --> 157 158 <!-- C API usage examples. --> 159 160 <section class="examples"> 161 162 ### Examples 163 164 ```c 165 #include "stdlib/math/base/special/sqrt.h" 166 #include <stdio.h> 167 168 int main() { 169 double x[] = { 3.14, 9.0, 0.0, 0.0/0.0 }; 170 171 double y; 172 int i; 173 for ( i = 0; i < 4; i++ ) { 174 y = stdlib_base_sqrt( x[ i ] ); 175 printf( "sqrt(%lf) = %lf\n", x[ i ], y ); 176 } 177 } 178 ``` 179 180 </section> 181 182 <!-- /.examples --> 183 184 </section> 185 186 <!-- /.c --> 187 188 <section class="links"> 189 190 [square-root]: https://en.wikipedia.org/wiki/Square_root 191 192 </section> 193 194 <!-- /.links -->