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| 1 | +<!-- |
| 2 | +
|
| 3 | +@license Apache-2.0 |
| 4 | +
|
| 5 | +Copyright (c) 2025 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 | +# asechf |
| 22 | + |
| 23 | +> Compute the [hyperbolic arcsecant][hyperbolic-arcsecant] of a single-precision floating-point number. |
| 24 | +
|
| 25 | +<section class="usage"> |
| 26 | + |
| 27 | +## Usage |
| 28 | + |
| 29 | +```javascript |
| 30 | +var asechf = require( '@stdlib/math/base/special/asechf' ); |
| 31 | +``` |
| 32 | + |
| 33 | +#### asechf( x ) |
| 34 | + |
| 35 | +Computes the [hyperbolic arcsecant][hyperbolic-arcsecant] of a single-precision floating-point number. |
| 36 | + |
| 37 | +```javascript |
| 38 | +var v = asechf( 1.0 ); |
| 39 | +// returns 0.0 |
| 40 | + |
| 41 | +v = asechf( 0.5 ); |
| 42 | +// returns ~1.317 |
| 43 | + |
| 44 | +v = asechf( 0.0 ); |
| 45 | +// returns Infinity |
| 46 | +``` |
| 47 | + |
| 48 | +The domain of `x` is restricted to the interval `[0, 1]`. For `x` outside of this interval, the function returns `NaN`. |
| 49 | + |
| 50 | +```javascript |
| 51 | +var v = asechf( -1.0 ); |
| 52 | +// returns NaN |
| 53 | + |
| 54 | +v = asechf( 2.0 ); |
| 55 | +// returns NaN |
| 56 | +``` |
| 57 | + |
| 58 | +</section> |
| 59 | + |
| 60 | +<!-- /.usage --> |
| 61 | + |
| 62 | +<section class="examples"> |
| 63 | + |
| 64 | +## Examples |
| 65 | + |
| 66 | +<!-- eslint no-undef: "error" --> |
| 67 | + |
| 68 | +```javascript |
| 69 | +var uniform = require( '@stdlib/random/array/uniform' ); |
| 70 | +var logEachMap = require( '@stdlib/console/log-each-map' ); |
| 71 | +var asechf = require( '@stdlib/math/base/special/asechf' ); |
| 72 | + |
| 73 | +var x = uniform( 100, 0.1, 1.0, { |
| 74 | + 'dtype': 'float32' |
| 75 | +}); |
| 76 | + |
| 77 | +logEachMap( 'asechf(%0.4f) = %0.4f', x, asechf ); |
| 78 | +``` |
| 79 | + |
| 80 | +</section> |
| 81 | + |
| 82 | +<!-- /.examples --> |
| 83 | + |
| 84 | +<!-- C interface documentation. --> |
| 85 | + |
| 86 | +* * * |
| 87 | + |
| 88 | +<section class="c"> |
| 89 | + |
| 90 | +## C APIs |
| 91 | + |
| 92 | +<!-- Section to include introductory text. Make sure to keep an empty line after the intro `section` element and another before the `/section` close. --> |
| 93 | + |
| 94 | +<section class="intro"> |
| 95 | + |
| 96 | +</section> |
| 97 | + |
| 98 | +<!-- /.intro --> |
| 99 | + |
| 100 | +<!-- C usage documentation. --> |
| 101 | + |
| 102 | +<section class="usage"> |
| 103 | + |
| 104 | +### Usage |
| 105 | + |
| 106 | +```c |
| 107 | +#include "stdlib/math/base/special/asechf.h" |
| 108 | +``` |
| 109 | + |
| 110 | +#### stdlib_base_asechf( x ) |
| 111 | + |
| 112 | +Computes the [hyperbolic arcsecant][hyperbolic-arcsecant] of a single-precision floating-point number. |
| 113 | + |
| 114 | +```c |
| 115 | +float out = stdlib_base_asechf( 0.5f ); |
| 116 | +// returns ~1.317f |
| 117 | +``` |
| 118 | + |
| 119 | +The function accepts the following arguments: |
| 120 | + |
| 121 | +- **x**: `[in] float` input value. |
| 122 | + |
| 123 | +```c |
| 124 | +float stdlib_base_asechf( const float x ); |
| 125 | +``` |
| 126 | +
|
| 127 | +</section> |
| 128 | +
|
| 129 | +<!-- /.usage --> |
| 130 | +
|
| 131 | +<!-- C API usage notes. Make sure to keep an empty line after the `section` element and another before the `/section` close. --> |
| 132 | +
|
| 133 | +<section class="notes"> |
| 134 | +
|
| 135 | +</section> |
| 136 | +
|
| 137 | +<!-- /.notes --> |
| 138 | +
|
| 139 | +<!-- C API usage examples. --> |
| 140 | +
|
| 141 | +<section class="examples"> |
| 142 | +
|
| 143 | +### Examples |
| 144 | +
|
| 145 | +```c |
| 146 | +#include "stdlib/math/base/special/asechf.h" |
| 147 | +#include <stdio.h> |
| 148 | +
|
| 149 | +int main( void ) { |
| 150 | + const float x[] = { 0.1f, 0.2f, 0.3f, 0.4f, 0.5f, 0.6f, 0.7f, 0.8f, 0.9f, 1.0f }; |
| 151 | +
|
| 152 | + float v; |
| 153 | + int i; |
| 154 | + for ( i = 0; i < 10; i++ ) { |
| 155 | + v = stdlib_base_asechf( x[ i ] ); |
| 156 | + printf( "asechf(%f) = %f\n", x[ i ], v ); |
| 157 | + } |
| 158 | +} |
| 159 | +``` |
| 160 | + |
| 161 | +</section> |
| 162 | + |
| 163 | +<!-- /.examples --> |
| 164 | + |
| 165 | +</section> |
| 166 | + |
| 167 | +<!-- /.c --> |
| 168 | + |
| 169 | +<!-- Section for related `stdlib` packages. Do not manually edit this section, as it is automatically populated. --> |
| 170 | + |
| 171 | +<section class="related"> |
| 172 | + |
| 173 | +* * * |
| 174 | + |
| 175 | +## See Also |
| 176 | + |
| 177 | +- <span class="package-name">[`@stdlib/math/base/special/asech`][@stdlib/math/base/special/asech]</span><span class="delimiter">: </span><span class="description">compute the hyperbolic arcsecant of a number.</span> |
| 178 | +- <span class="package-name">[`@stdlib/math/base/special/asecf`][@stdlib/math/base/special/asecf]</span><span class="delimiter">: </span><span class="description">compute the inverse (arc) secant of a single-precision floating-point number.</span> |
| 179 | +- <span class="package-name">[`@stdlib/math/base/special/acosh`][@stdlib/math/base/special/acosh]</span><span class="delimiter">: </span><span class="description">compute the hyperbolic arccosine of a double-precision floating-point number.</span> |
| 180 | + |
| 181 | +</section> |
| 182 | + |
| 183 | +<!-- /.related --> |
| 184 | + |
| 185 | +<!-- Section for all links. Make sure to keep an empty line after the `section` element and another before the `/section` close. --> |
| 186 | + |
| 187 | +<section class="links"> |
| 188 | + |
| 189 | +[hyperbolic-arcsecant]: https://en.wikipedia.org/wiki/Inverse_hyperbolic_functions |
| 190 | + |
| 191 | +<!-- <related-links> --> |
| 192 | + |
| 193 | +[@stdlib/math/base/special/asech]: https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/math/base/special/asech |
| 194 | + |
| 195 | +[@stdlib/math/base/special/asecf]: https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/math/base/special/asecf |
| 196 | + |
| 197 | +[@stdlib/math/base/special/acosh]: https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/math/base/special/acosh |
| 198 | + |
| 199 | +<!-- </related-links> --> |
| 200 | + |
| 201 | +</section> |
| 202 | + |
| 203 | +<!-- /.links --> |
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