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# Contributors listed in alphabetical order. | ||
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Aditya Sapra <[email protected]> | ||
AgPriyanshu18 <[email protected]> | ||
Ali Salesi <[email protected]> | ||
Amit Jimiwal <[email protected]> | ||
Athan Reines <[email protected]> | ||
Brendan Graetz <[email protected]> | ||
Bruno Fenzl <[email protected]> | ||
Chinmay J <[email protected]> | ||
Christopher Dambamuromo <[email protected]> | ||
Dan Rose <[email protected]> | ||
Daniel Killenberger <[email protected]> | ||
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@@ -36,6 +38,7 @@ Ognjen Jevremović <[email protected]> | |
Philipp Burckhardt <[email protected]> | ||
Prajwal Kulkarni <[email protected]> | ||
Pranav Goswami <[email protected]> | ||
Praneki <[email protected]> | ||
Pratik <[email protected]> | ||
Ricky Reusser <[email protected]> | ||
Robert Gislason <[email protected]> | ||
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@@ -44,6 +47,7 @@ Rutam <[email protected]> | |
Ryan Seal <[email protected]> | ||
Seyyed Parsa Neshaei <[email protected]> | ||
Shraddheya Shendre <[email protected]> | ||
Shubham <[email protected]> | ||
Spandan Barve <[email protected]> | ||
Stephannie Jiménez Gacha <[email protected]> | ||
Yernar Yergaziyev <[email protected]> | ||
|
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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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# Cosecant | ||
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> Evaluate the [cosecant][trigonometric-functions] of a number. | ||
<section class="intro"> | ||
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</section> | ||
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<section class="usage"> | ||
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## Usage | ||
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```javascript | ||
var csc = require( '@stdlib/math/base/special/csc' ); | ||
``` | ||
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## csc( x ) | ||
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Evaluates the [cosecant][trigonometric-functions] of `x` (in radians). | ||
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```javascript | ||
var v = csc( 0.0 ); | ||
// returns Infinity | ||
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v = csc( 3.141592653589793/2.0 ); | ||
// returns ~1.0 | ||
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v = csc( -3.141592653589793/6.0 ); | ||
// returns ~-2.0 | ||
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v = csc( 3.141592653589793/6.0 ); | ||
// returns ~2.0 | ||
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v = csc( 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 PI = require( '@stdlib/constants/float64/pi' ); | ||
var csc = require( '@stdlib/math/base/special/csc' ); | ||
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var x = linspace( -PI/2.0, PI/2.0, 100 ); | ||
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var i; | ||
for ( i = 0; i < x.length; i++ ) { | ||
console.log( csc( x[ i ] ) ); | ||
} | ||
``` | ||
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</section> | ||
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<!-- /.examples --> | ||
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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/sin`][@stdlib/math/base/special/sin]</span><span class="delimiter">: </span><span class="description">evaluate the sine of a 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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[trigonometric-functions]: https://en.wikipedia.org/wiki/Trigonometric_functions | ||
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<!-- <related-links> --> | ||
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[@stdlib/math/base/special/sin]: https://github.com/stdlib-js/math/tree/main/base/special/sin | ||
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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/base/randu' ); | ||
var isnan = require( './../../../../base/assert/is-nan' ); | ||
var sin = require( './../../../../base/special/sin' ); | ||
var pkg = require( './../package.json' ).name; | ||
var csc = 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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b.tic(); | ||
for ( i = 0; i < b.iterations; i++ ) { | ||
x = (randu() * 20.0) - 10.0; | ||
y = csc( x ); | ||
if ( isnan( y ) ) { | ||
b.fail( 'should not return NaN' ); | ||
} | ||
} | ||
b.toc(); | ||
if ( isnan( y ) ) { | ||
b.fail( 'should not return NaN' ); | ||
} | ||
b.pass( 'benchmark finished' ); | ||
b.end(); | ||
}); | ||
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bench( pkg + '::built-in', function benchmark( b ) { | ||
var x; | ||
var y; | ||
var i; | ||
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b.tic(); | ||
for ( i = 0; i < b.iterations; i++ ) { | ||
x = (randu() * 20.0) - 10.0; | ||
y = 1.0 / sin( x ); | ||
if ( isnan( y ) ) { | ||
b.fail( 'should not return NaN' ); | ||
} | ||
} | ||
b.toc(); | ||
if ( isnan( y ) ) { | ||
b.fail( 'should not return NaN' ); | ||
} | ||
b.pass( 'benchmark finished' ); | ||
b.end(); | ||
}); |
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{{alias}}( x ) | ||
Computes the cosecant of a number. | ||
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Parameters | ||
---------- | ||
x: number | ||
Input value (in radians). | ||
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Returns | ||
------- | ||
y: number | ||
Cosecant. | ||
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Examples | ||
-------- | ||
> var y = {{alias}}( 0.0 ) | ||
Infinity | ||
> y = {{alias}}( {{alias:@stdlib/constants/float64/pi}}/2.0 ) | ||
~1.0 | ||
> y = {{alias}}( -{{alias:@stdlib/constants/float64/pi}}/6.0 ) | ||
~-2.0 | ||
> y = {{alias}}( NaN ) | ||
NaN | ||
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See Also | ||
-------- |
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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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// TypeScript Version: 4.1 | ||
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/** | ||
* Computes the cosecant of a number. | ||
* | ||
* @param x - input value (in radians) | ||
* @returns cosecant | ||
* | ||
* @example | ||
* var v = csc( 0.0 ); | ||
* // returns Infinity | ||
* | ||
* @example | ||
* var v = csc( 3.141592653589793/2.0 ); | ||
* // returns ~1.0 | ||
* | ||
* @example | ||
* var v = csc( -3.141592653589793/6.0 ); | ||
* // returns ~-2.0 | ||
* | ||
* @example | ||
* var v = csc( NaN ); | ||
* // returns NaN | ||
*/ | ||
declare function csc( x: number ): number; | ||
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// EXPORTS // | ||
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export = csc; |
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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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import csc = require( './index' ); | ||
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// TESTS // | ||
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// The function returns a number... | ||
{ | ||
csc( 2 ); // $ExpectType number | ||
} | ||
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// The compiler throws an error if the function is provided a value other than a number... | ||
{ | ||
csc( true ); // $ExpectError | ||
csc( false ); // $ExpectError | ||
csc( null ); // $ExpectError | ||
csc( undefined ); // $ExpectError | ||
csc( '5' ); // $ExpectError | ||
csc( [] ); // $ExpectError | ||
csc( {} ); // $ExpectError | ||
csc( ( x: number ): number => x ); // $ExpectError | ||
} | ||
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// The compiler throws an error if the function is provided insufficient arguments... | ||
{ | ||
csc(); // $ExpectError | ||
} |
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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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var linspace = require( '@stdlib/array/base/linspace' ); | ||
var TWO_PI = require( '@stdlib/constants/float64/two-pi' ); | ||
var csc = require( './../lib' ); | ||
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var x = linspace( -TWO_PI, TWO_PI, 100 ); | ||
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var i; | ||
for ( i = 0; i < x.length; i++ ) { | ||
console.log( 'csc(%d) = %d', x[i], csc( x[i] ) ); | ||
} |
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