PR: Add inverse (arc) secant

lib/node_modules/@stdlib/math/base/special/asec/README.md

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+<!--
+
+@license Apache-2.0
+
+Copyright (c) 2022 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.
+
+-->
+
+# asec
+
+> Compute the [inverse (arc) secant][arcsecant] of a number.
+
+<section class="usage">
+
+## Usage
+
+```javascript
+var asec = require( '@stdlib/math/base/special/asec' );
+```
+
+#### asec( x )
+
+Computes the [inverse (arc) secant][arcsecant] of `x`.
+
+```javascript
+var v = asec( 1.0 );
+// returns 0.0
+
+v = asec( 2.0 );
+// returns ~1.0472
+
+v = asec( NaN );
+// returns NaN
+```
+
+The domain of `x` is restricted to the intervals `[-inf, -1]` and `[1, inf]`. For `x` outside of these intervals, the function returns `NaN`.
+
+```javascript
+var v = asec( -0.5 );
+// returns NaN
+
+v = asec( 0.5 );
+// returns NaN
+```
+
+</section>
+
+<!-- /.usage -->
+
+<section class="examples">
+
+## Examples
+
+<!-- eslint no-undef: "error" -->
+
+```javascript
+var linspace = require( '@stdlib/array/base/linspace' );
+var asec = require( '@stdlib/math/base/special/asec' );
+
+var x = linspace( 1.0, 10.0, 100 );
+
+var i;
+for ( i = 0; i < x.length; i++ ) {
+    console.log( asec( x[ i ] ) );
+}
+```
+
+</section>
+
+<!-- /.examples -->
+
+<!-- Section for related `stdlib` packages. Do not manually edit this section, as it is automatically populated. -->
+
+<section class="related">
+
+</section>
+
+<!-- /.related -->
+
+<!-- Section for all links. Make sure to keep an empty line after the `section` element and another before the `/section` close. -->
+
+<section class="links">
+
+[arcsecant]: https://en.wikipedia.org/wiki/Inverse_trigonometric_functions
+
+</section>
+
+<!-- /.links -->

lib/node_modules/@stdlib/math/base/special/asec/benchmark/benchmark.js

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+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2022 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.
+*/
+
+'use strict';
+
+// MODULES //
+
+var bench = require( '@stdlib/bench' );
+var randu = require( '@stdlib/random/base/randu' );
+var isnan = require( '@stdlib/math/base/assert/is-nan' );
+var pkg = require( './../package.json' ).name;
+var asec = require( './../lib' );
+
+
+// MAIN //
+
+bench( pkg, function benchmark( b ) {
+	var y;
+	var i;
+
+	b.tic();
+	for ( i = 0; i < b.iterations; i++ ) {
+		y = asec( ( randu()*1000.0 ) + 1.0 );
+		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();
+});

lib/node_modules/@stdlib/math/base/special/asec/docs/repl.txt

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+
+{{alias}}( x )
+    Computes the inverse (arc) secant of a number.
+
+    If `x > -1` and `x < 1`, the function returns `NaN`.
+
+    Parameters
+    ----------
+    x: number
+        Input value.
+
+    Returns
+    -------
+    y: number
+        Inverse (arc) secant.
+
+    Examples
+    --------
+    > var y = {{alias}}( 1.0 )
+    0.0
+    > y = {{alias}}( 2.0 )
+    ~1.0472
+    > y = {{alias}}( NaN )
+    NaN
+
+    See Also
+    --------
+

lib/node_modules/@stdlib/math/base/special/asec/docs/types/index.d.ts

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+/*
+* @license Apache-2.0
+*
+* Copyright (c) 2022 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.
+*/
+
+// TypeScript Version: 2.0
+
+/**
+* Computes the inverse (arc) secant of a number.
+*
+* @param x - input value
+* @returns inverse (arc) secant
+*
+* @example
+* var v = asec( 1.0 );
+* // returns 0.0
+*
+* @example
+* var v = asec( 2.0 );
+* // returns ~1.0472
+*
+* @example
+* var v = asec( NaN );
+* // returns NaN
+*/
+declare function asec( x: number ): number;
+
+
+// EXPORTS //
+
+export = asec;

lib/node_modules/@stdlib/math/base/special/asec/docs/types/test.ts

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+/*
+* @license Apache-2.0
+*
+* Copyright (c) 2022 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.
+*/
+
+import asec = require( './index' );
+
+
+// TESTS //
+
+// The function returns a number...
+{
+	asec( 8 ); // $ExpectType number
+}
+
+// The compiler throws an error if the function is provided a value other than a number...
+{
+	asec( true ); // $ExpectError
+	asec( false ); // $ExpectError
+	asec( null ); // $ExpectError
+	asec( undefined ); // $ExpectError
+	asec( '5' ); // $ExpectError
+	asec( [] ); // $ExpectError
+	asec( {} ); // $ExpectError
+	asec( ( x: number ): number => x ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided insufficient arguments...
+{
+	asec(); // $ExpectError
+}

lib/node_modules/@stdlib/math/base/special/asec/examples/index.js

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+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2022 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.
+*/
+
+'use strict';
+
+var linspace = require( '@stdlib/array/base/linspace' );
+var asec = require( './../lib' );
+
+var x = linspace( 1.0, 10.0, 100 );
+
+var i;
+for ( i = 0; i < x.length; i++ ) {
+	console.log( 'asec( %d ) = %d', x[ i ], asec( x[ i ] ) );
+}

lib/node_modules/@stdlib/math/base/special/asec/lib/index.js

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+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2022 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.
+*/
+
+'use strict';
+
+/**
+* Compute the inverse (arc) secant of a number.
+*
+* @module @stdlib/math/base/special/asec
+*
+* @example
+* var asec = require( '@stdlib/math/base/special/asec' );
+*
+* var v = asec( 1.0 );
+* // returns 0.0
+*
+* v = asec( 2.0 );
+* // returns ~1.0472
+*
+* v = asec( NaN );
+* // returns NaN
+*/
+
+// MODULES //
+
+var main = require( './main.js' );
+
+
+// EXPORTS //
+
+module.exports = main;