Add Gauss hypergeometric function

lib/node_modules/@stdlib/math/base/special/hyp2f1/README.md

@@ -0,0 +1,105 @@
+<!--
+
+@license Apache-2.0
+
+Copyright (c) 2018 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.
+
+-->
+
+# hyp2f1
+
+> Evaluate Gaussian hypergeometric function
+
+<!-- Section to include introductory text. Make sure to keep an empty line after the intro `section` element and another before the `/section` close. -->
+
+<section class="intro">
+
+The Gaussian hypergeometric function is defined as
+
+<!-- <equation class="equation" label="eq:gaussian_hypergeometric_function" align="center" raw="\operatorname{hyp2f1}(a,b,c,z) = \sum_{n=0}^{\infty} \frac{(a)_n (b)_n}{(c)_n} \frac{z^n}{n!}" alt="Equation for Gaussian hypergeometric function."> -->
+
+<div class="equation" align="center" data-raw-text="\operatorname{hyp2f1}(a,b,c,z) = \sum_{n=0}^{\infty} \frac{(a)_n (b)_n}{(c)_n} \frac{z^n}{n!}" data-equation="eq:gaussian_hypergeometric_function">
+    <img src="https://cdn.rawgit.com/stdlib-js/stdlib/65a72b6be80b988ebfa5e581849691524b01a533/lib/node_modules/@stdlib/math/base/special/hyp2f1/docs/img/equationgaussian_hypergeometric_function.svg" alt="Equation for Gaussian hypergeometric function.">
+    <br>
+</div>
+
+<!-- </equation> -->
+
+</section>
+
+<!-- /.intro -->
+
+<!-- Package usage documentation. -->
+
+<section class="usage">
+
+## Usage
+
+```javascript
+var hyp2f1 = require( '@stdlib/math/base/special/hyp2f1' );
+```
+
+#### hyp2f1( a, b, c, z )
+
+Evaluates the Gaussian hypergeometric function.
+
+```javascript
+var v = hyp2f1( 1.0, 1.0, 1.0, 0.0 );
+// returns 1.0
+```
+
+</section>
+
+<!-- /.usage -->
+
+<!-- Package usage notes. Make sure to keep an empty line after the `section` element and another before the `/section` close. -->
+
+<section class="notes">
+
+</section>
+
+<!-- /.notes -->
+
+<!-- Package usage examples. -->
+
+<section class="examples">
+
+## Examples
+
+<!-- eslint no-undef: "error" -->
+
+```javascript
+var hyp2f1 = require( '@stdlib/math/base/special/hyp2f1' );
+```
+
+</section>
+
+<!-- /.examples -->
+
+<!-- Section to include cited references. If references are included, add a horizontal rule *before* the section. Make sure to keep an empty line after the `section` element and another before the `/section` close. -->
+
+<section class="references">
+
+</section>
+
+<!-- /.references -->
+
+<!-- Section for all links. Make sure to keep an empty line after the `section` element and another before the `/section` close. -->
+
+<section class="links">
+
+</section>
+
+<!-- /.links -->

lib/node_modules/@stdlib/math/base/special/hyp2f1/benchmark/benchmark.js

@@ -0,0 +1,45 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2018 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 isnan = require( '@stdlib/random/base/randu' );
+var pkg = require( './../package.json' ).name;
+var hyp2f1 = require( './../lib' );
+
+
+// MAIN //
+
+bench( pkg, function benchmark( b ) {
+	var i;
+	var y;
+
+	b.tic();
+	for ( i = 0; i < b.iterations; i++ ) {
+		y = hyp2f1( 1.0, 1.0, 1.0, 0.0 );
+		if ( isnan( y ) ) {
+			b.fail( 'something went wrong' );
+		}
+	}
+	b.toc();
+	b.pass( 'benchmark finished' );
+	b.end();
+});

lib/node_modules/@stdlib/math/base/special/hyp2f1/docs/repl.txt

@@ -0,0 +1,36 @@
+
+{{alias}}( a, b, c, x )
+    TODO: short desc.
+
+    TODO: longer desc/bkgd.
+
+    List:
+
+    - item 1
+    - item 2
+
+    Parameters
+    ----------
+    a: number
+        TODO: desc
+    b: number
+    c: number
+    x: number 
+
+    Returns
+    -------
+    y: number
+        TODO: desc
+
+    Examples
+    --------
+    > var TODO = {{alias}}()
+    TODO: abbrev output
+
+    References
+    ----------
+    - TODO: only include reference(s) if usage requires citation(s)
+
+    See Also
+    --------
+

lib/node_modules/@stdlib/math/base/special/hyp2f1/examples/index.js

@@ -0,0 +1,26 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2018 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 hyp2f1 = require( './../lib' );
+
+var y;
+
+y = hyp2f1( 1.0, 1.0, 1.0, 0.0 );
+console.log( 'hyp2f1( 1.0, 1.0, 1.0, 0.0) = %d', y );

lib/node_modules/@stdlib/math/base/special/hyp2f1/lib/index.js

@@ -0,0 +1,40 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2018 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';
+
+/**
+* Evaulation of Gaussian hypergoemetric function.
+*
+* @module @stdlib/math/base/special/hyp2f1
+*
+* @example
+* var hyp2f1 = require( '@stdlib/math/base/special/hyp2f1' );
+*
+* var v = hyp2f1( 1.0, 1.0, 1.0, 0.0 );
+* // returns 1.0
+*/
+
+// MODULES //
+
+var hyp2f1 = require( './main.js' );
+
+
+// EXPORTS //
+
+module.exports = hyp2f1;