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<!-- | ||
@license Apache-2.0 | ||
Copyright (c) 2024 The Stdlib Authors. | ||
Licensed under the Apache License, Version 2.0 (the "License"); | ||
you may not use this file except in compliance with the License. | ||
You may obtain a copy of the License at | ||
http://www.apache.org/licenses/LICENSE-2.0 | ||
Unless required by applicable law or agreed to in writing, software | ||
distributed under the License is distributed on an "AS IS" BASIS, | ||
WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. | ||
See the License for the specific language governing permissions and | ||
limitations under the License. | ||
--> | ||
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# acotdf | ||
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> Compute the [arccotangent][arccotangent] in degrees of a single-precision floating-point number. | ||
<section class="usage"> | ||
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## Usage | ||
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```javascript | ||
var acotdf = require( '@stdlib/math/base/special/acotdf' ); | ||
``` | ||
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#### acotdf( x ) | ||
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Computes the [arccotangent][arccotangent] (in degrees) of a single-precision floating-point number. | ||
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```javascript | ||
var sqrtf = require( '@stdlib/math/base/special/sqrtf' ); | ||
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var v = acotdf( 0.0 ); | ||
// returns 90.0 | ||
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v = acotdf( sqrtf( 3.0 ) ); | ||
// returns ~30.0 | ||
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v = acotdf( 1.0 ); | ||
// returns 45.0 | ||
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v = acotdf( sqrtf( 3.0 ) / 3.0 ); | ||
// returns ~60.0 | ||
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v = acotdf( NaN ); | ||
// returns NaN | ||
``` | ||
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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 | ||
var linspace = require( '@stdlib/array/base/linspace' ); | ||
var acotdf = require( '@stdlib/math/base/special/acotdf' ); | ||
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var x = linspace( -1.0, 1.0, 100 ); | ||
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var i; | ||
for ( i = 0; i < x.length; i++ ) { | ||
console.log( acotdf( x[ i ] ) ); | ||
} | ||
``` | ||
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</section> | ||
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<!-- /.examples --> | ||
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<!-- C usage documentation. --> | ||
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<section class="usage"> | ||
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### Usage | ||
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```c | ||
#include "stdlib/math/base/special/acotdf.h" | ||
``` | ||
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#### stdlib_base_acotdf( x ) | ||
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Computes the [arccotangent][arccotangent] (in degrees) of a single-precision floating-point number. | ||
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```c | ||
float out = stdlib_base_acotdf( 0.0f ); | ||
// returns 90.0f | ||
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out = stdlib_base_acotdf( 3.0f ); | ||
// returns ~30.0f | ||
``` | ||
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The function accepts the following arguments: | ||
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- **x**: `[in] float` input value. | ||
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```c | ||
float stdlib_base_acotdf( const float x ); | ||
``` | ||
</section> | ||
<!-- /.usage --> | ||
<!-- C API usage notes. Make sure to keep an empty line after the `section` element and another before the `/section` close. --> | ||
<section class="notes"> | ||
</section> | ||
<!-- /.notes --> | ||
<!-- C API usage examples. --> | ||
<section class="examples"> | ||
### Examples | ||
```c | ||
#include "stdlib/math/base/special/acotdf.h" | ||
#include <stdio.h> | ||
int main( void ) { | ||
const float x[] = { 1.0f, 1.45f, 1.89f, 2.33f, 2.78f, 3.22f, 3.66f, 4.11f, 4.55f, 5.0f }; | ||
float v; | ||
int i; | ||
for ( i = 0; i < 10; i++ ) { | ||
v = stdlib_base_acotdf( x[ i ] ); | ||
printf( "acotdf(%f) = %f\n", x[ i ], v ); | ||
} | ||
} | ||
``` | ||
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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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</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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[arccotangent]: https://en.wikipedia.org/wiki/Inverse_trigonometric_functions | ||
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<!-- <related-links> --> | ||
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<!-- </related-links> --> | ||
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</section> | ||
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<!-- /.links --> |
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/** | ||
* @license Apache-2.0 | ||
* | ||
* Copyright (c) 2024 The Stdlib Authors. | ||
* | ||
* Licensed under the Apache License, Version 2.0 (the "License"); | ||
* you may not use this file except in compliance with the License. | ||
* You may obtain a copy of the License at | ||
* | ||
* http://www.apache.org/licenses/LICENSE-2.0 | ||
* | ||
* Unless required by applicable law or agreed to in writing, software | ||
* distributed under the License is distributed on an "AS IS" BASIS, | ||
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. | ||
* See the License for the specific language governing permissions and | ||
* limitations under the License. | ||
*/ | ||
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'use strict'; | ||
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// MODULES // | ||
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var bench = require( '@stdlib/bench' ); | ||
var randu = require( '@stdlib/random/array/uniform' ); | ||
var isnanf = require( './../../../../base/assert/is-nanf' ); | ||
var pkg = require( './../package.json' ).name; | ||
var acotdf = require( './../lib' ); | ||
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// MAIN // | ||
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bench( pkg, function benchmark( b ) { | ||
var x; | ||
var y; | ||
var i; | ||
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x = randu( 100, -100.0, 100.0 ); | ||
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b.tic(); | ||
for ( i = 0; i < b.iterations; i++ ) { | ||
y = acotdf( x[ i % x.length ] ); | ||
if ( isnanf( y ) ) { | ||
b.fail( 'should not return NaN' ); | ||
} | ||
} | ||
b.toc(); | ||
if ( isnanf( y ) ) { | ||
b.fail( 'should not return NaN' ); | ||
} | ||
b.pass( 'benchmark finished' ); | ||
b.end(); | ||
}); |
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/** | ||
* @license Apache-2.0 | ||
* | ||
* Copyright (c) 2024 The Stdlib Authors. | ||
* | ||
* Licensed under the Apache License, Version 2.0 (the "License"); | ||
* you may not use this file except in compliance with the License. | ||
* You may obtain a copy of the License at | ||
* | ||
* http://www.apache.org/licenses/LICENSE-2.0 | ||
* | ||
* Unless required by applicable law or agreed to in writing, software | ||
* distributed under the License is distributed on an "AS IS" BASIS, | ||
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. | ||
* See the License for the specific language governing permissions and | ||
* limitations under the License. | ||
*/ | ||
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'use strict'; | ||
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// MODULES // | ||
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var resolve = require( 'path' ).resolve; | ||
var bench = require( '@stdlib/bench' ); | ||
var randu = require( '@stdlib/random/array/uniform' ); | ||
var isnanf = require( './../../../../base/assert/is-nanf' ); | ||
var tryRequire = require( '@stdlib/utils/try-require' ); | ||
var pkg = require( './../package.json' ).name; | ||
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// VARIABLES // | ||
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var acotdf = tryRequire( resolve( __dirname, './../lib/native.js' ) ); | ||
var opts = { | ||
'skip': ( acotdf instanceof Error ) | ||
}; | ||
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// MAIN // | ||
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bench( pkg+'::native', opts, function benchmark( b ) { | ||
var x; | ||
var y; | ||
var i; | ||
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x = randu( 100, -100.0, 100.0 ); | ||
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b.tic(); | ||
for ( i = 0; i < b.iterations; i++ ) { | ||
y = acotdf( x[ i % x.length ] ); | ||
if ( isnanf( y ) ) { | ||
b.fail( 'should not return NaN' ); | ||
} | ||
} | ||
b.toc(); | ||
if ( isnanf( y ) ) { | ||
b.fail( 'should not return NaN' ); | ||
} | ||
b.pass( 'benchmark finished' ); | ||
b.end(); | ||
}); |
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