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feat: add math/special/acoshf
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<!--
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@license Apache-2.0
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Copyright (c) 2022 The Stdlib Authors.
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Licensed under the Apache License, Version 2.0 (the "License");
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you may not use this file except in compliance with the License.
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You may obtain a copy of the License at
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http://www.apache.org/licenses/LICENSE-2.0
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Unless required by applicable law or agreed to in writing, software
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distributed under the License is distributed on an "AS IS" BASIS,
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WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
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See the License for the specific language governing permissions and
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limitations under the License.
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-->
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# acoshf
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> Compute the [hyperbolic arccosine][hyperbolic-arccosine] of a single-precision floating-point number.
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<section class="usage">
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## Usage
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```javascript
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var acoshf = require( '@stdlib/math/base/special/acoshf' );
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```
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#### acoshf( x )
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Computes the [hyperbolic arccosine][hyperbolic-arccosine] of single-precision floating-point number.
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```javascript
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var v = acoshf( 1.0 );
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// returns 0.0
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v = acoshf( 2.0 );
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// returns ~1.317
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v = acoshf( 0.5 );
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// returns NaN
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```
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The domain of `x` is restricted to `[1,+infinity)`. If `x < 1`, the function will return `NaN`.
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```javascript
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var v = acoshf( 0.0 );
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// returns NaN
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```
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</section>
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<!-- /.usage -->
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<section class="examples">
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## Examples
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<!-- eslint no-undef: "error" -->
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```javascript
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var linspace = require( '@stdlib/array/base/linspace' );
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var acoshf = require( '@stdlib/math/base/special/acoshf' );
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var x = linspace( 1.0, 5.0, 100 );
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var i;
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for ( i = 0; i < x.length; i++ ) {
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console.log( acoshf( x[ i ] ) );
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}
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```
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</section>
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<!-- /.examples -->
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<!-- C interface documentation. -->
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* * *
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<section class="c">
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## C APIs
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<!-- Section to include introductory text. Make sure to keep an empty line after the intro `section` element and another before the `/section` close. -->
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<section class="intro">
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</section>
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<!-- /.intro -->
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<!-- C usage documentation. -->
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<section class="usage">
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### Usage
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```c
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#include "stdlib/math/base/special/acoshf.h"
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```
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#### stdlib_base_acoshf( x )
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Computes the [hyperbolic arccosine][hyperbolic-arccosine] of single-precision floating-point number.
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```c
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float out = stdlib_base_acoshf( 1.0f );
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// returns 0.0
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out = stdlib_base_acoshf( 2.0f );
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// returns ~1.317
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```
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The function accepts the following arguments:
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- **x**: `[in] float` input value.
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```c
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float stdlib_base_acoshf( const float x );
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```
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</section>
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<!-- /.usage -->
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<!-- C API usage notes. Make sure to keep an empty line after the `section` element and another before the `/section` close. -->
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<section class="notes">
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</section>
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<!-- /.notes -->
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<!-- C API usage examples. -->
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<section class="examples">
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### Examples
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```c
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#include "stdlib/math/base/special/acoshf.h"
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#include <stdio.h>
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int main( void ) {
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const float x[] = { 1.0f, 1.45f, 1.89f, 2.33f, 2.78f, 3.22f, 3.66f, 4.11f, 4.55f, 5.0f };
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float v;
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int i;
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for ( i = 0; i < 10; i++ ) {
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v = stdlib_base_acoshf( x[ i ] );
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printf( "acoshf(%f) = %f\n", x[ i ], v );
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}
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}
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```
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</section>
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<!-- /.examples -->
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</section>
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<!-- /.c -->
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<!-- Section for related `stdlib` packages. Do not manually edit this section, as it is automatically populated. -->
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<section class="related">
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* * *
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## See Also
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- <span class="package-name">[`@stdlib/math/base/special/acos`][@stdlib/math/base/special/acos]</span><span class="delimiter">: </span><span class="description">compute the arccosine of a double-precision floating-point number.</span>
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- <span class="package-name">[`@stdlib/math/base/special/asinh`][@stdlib/math/base/special/asinh]</span><span class="delimiter">: </span><span class="description">compute the hyperbolic arcsine of a double-precision floating-point number.</span>
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- <span class="package-name">[`@stdlib/math/base/special/atanh`][@stdlib/math/base/special/atanh]</span><span class="delimiter">: </span><span class="description">compute the hyperbolic arctangent of a double-precision floating-point number.</span>
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</section>
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<!-- /.related -->
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<!-- Section for all links. Make sure to keep an empty line after the `section` element and another before the `/section` close. -->
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<section class="links">
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[hyperbolic-arccosine]: https://en.wikipedia.org/wiki/Inverse_hyperbolic_function
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<!-- <related-links> -->
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[@stdlib/math/base/special/acos]: https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/math/base/special/acos
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[@stdlib/math/base/special/asinh]: https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/math/base/special/asinh
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[@stdlib/math/base/special/atanh]: https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/math/base/special/atanh
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<!-- </related-links> -->
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</section>
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<!-- /.links -->

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