From 024f9f8c1edbff2983ff829745f56ceaf77aa7f3 Mon Sep 17 00:00:00 2001
From: stdlib-bot <noreply@stdlib.io>
Date: Tue, 12 Mar 2024 23:36:54 +0000
Subject: [PATCH] Auto-generated commit

---
 base/special/atand/README.md                  | 104 ++++++++++++++++++
 base/special/atand/benchmark/benchmark.js     |  51 +++++++++
 base/special/atand/docs/repl.txt              |  27 +++++
 base/special/atand/docs/types/index.d.ts      |  56 ++++++++++
 base/special/atand/docs/types/test.ts         |  44 ++++++++
 base/special/atand/examples/index.js          |  29 +++++
 base/special/atand/lib/index.js               |  55 +++++++++
 base/special/atand/lib/main.js                |  67 +++++++++++
 base/special/atand/package.json               |  64 +++++++++++
 .../special/atand/test/fixtures/julia/REQUIRE |   2 +
 .../atand/test/fixtures/julia/negative.json   |   1 +
 .../atand/test/fixtures/julia/positive.json   |   1 +
 .../atand/test/fixtures/julia/runner.jl       |  69 ++++++++++++
 base/special/atand/test/test.js               |  96 ++++++++++++++++
 14 files changed, 666 insertions(+)
 create mode 100644 base/special/atand/README.md
 create mode 100644 base/special/atand/benchmark/benchmark.js
 create mode 100644 base/special/atand/docs/repl.txt
 create mode 100644 base/special/atand/docs/types/index.d.ts
 create mode 100644 base/special/atand/docs/types/test.ts
 create mode 100644 base/special/atand/examples/index.js
 create mode 100644 base/special/atand/lib/index.js
 create mode 100644 base/special/atand/lib/main.js
 create mode 100644 base/special/atand/package.json
 create mode 100644 base/special/atand/test/fixtures/julia/REQUIRE
 create mode 100644 base/special/atand/test/fixtures/julia/negative.json
 create mode 100644 base/special/atand/test/fixtures/julia/positive.json
 create mode 100644 base/special/atand/test/fixtures/julia/runner.jl
 create mode 100644 base/special/atand/test/test.js

diff --git a/base/special/atand/README.md b/base/special/atand/README.md
new file mode 100644
index 000000000..988ff8025
--- /dev/null
+++ b/base/special/atand/README.md
@@ -0,0 +1,104 @@
+<!--
+
+@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.
+
+-->
+
+# atand
+
+> Compute the [arctangent][arctangent] in degrees of a double-precision floating-point number.
+
+<section class="usage">
+
+## Usage
+
+```javascript
+var atand = require( '@stdlib/math/base/special/atand' );
+```
+
+#### atand( x )
+
+Computes the [arctangent][arctangent] (in degrees) of a double-precision floating-point number.
+
+```javascript
+var sqrt = require( '@stdlib/math/base/special/sqrt' );
+var v = atand( 0.0 );
+// returns 0.0
+
+v = atand( 0.5 );
+// returns ~26.57
+
+v = atand( 1.0 / sqrt( 3.0 ) );
+// returns ~30.0
+
+v = atand( 1.0 );
+// returns 45.0
+
+v = atand( Infinity );
+// returns 90.0
+
+v = atand( NaN );
+// returns NaN
+```
+
+</section>
+
+<!-- /.usage -->
+
+<section class="examples">
+
+## Examples
+
+<!-- eslint no-undef: "error" -->
+
+```javascript
+var linspace = require( '@stdlib/array/base/linspace' );
+var atand = require( '@stdlib/math/base/special/atand' );
+
+var x = linspace( -1.0, 1.0, 100 );
+
+var i;
+for ( i = 0; i < x.length; i++ ) {
+    console.log( atand( 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">
+
+[arctangent]: https://en.wikipedia.org/wiki/Inverse_trigonometric_functions
+
+<!-- <related-links> -->
+
+<!-- </related-links> -->
+
+</section>
+
+<!-- /.links -->
diff --git a/base/special/atand/benchmark/benchmark.js b/base/special/atand/benchmark/benchmark.js
new file mode 100644
index 000000000..42b3d9e8f
--- /dev/null
+++ b/base/special/atand/benchmark/benchmark.js
@@ -0,0 +1,51 @@
+/**
+* @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.
+*/
+
+'use strict';
+
+// MODULES //
+
+var bench = require( '@stdlib/bench' );
+var randu = require( '@stdlib/random/base/randu' );
+var isnan = require( './../../../../base/assert/is-nan' );
+var pkg = require( './../package.json' ).name;
+var atand = require( './../lib' );
+
+
+// MAIN //
+
+bench( pkg, function benchmark( b ) {
+	var x;
+	var y;
+	var i;
+
+	b.tic();
+	for ( i = 0; i < b.iterations; i++ ) {
+		x = ( randu()*2.0 ) - 1.0;
+		y = atand( 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();
+});
diff --git a/base/special/atand/docs/repl.txt b/base/special/atand/docs/repl.txt
new file mode 100644
index 000000000..50e3accf3
--- /dev/null
+++ b/base/special/atand/docs/repl.txt
@@ -0,0 +1,27 @@
+
+{{alias}}( x )
+    Computes the arctangent (in degrees) of a double-precision floating-point
+    number.
+
+    Parameters
+    ----------
+    x: number
+        Input value.
+
+    Returns
+    -------
+    y: number
+        Arctangent (in degrees).
+
+    Examples
+    --------
+    > var y = {{alias}}( 0.0 )
+    0.0
+    > y = {{alias}}( {{alias:@stdlib/constants/float64/pi}}/6.0 )
+    ~27.64
+    > y = {{alias}}( NaN )
+    NaN
+
+    See Also
+    --------
+
diff --git a/base/special/atand/docs/types/index.d.ts b/base/special/atand/docs/types/index.d.ts
new file mode 100644
index 000000000..e63b48280
--- /dev/null
+++ b/base/special/atand/docs/types/index.d.ts
@@ -0,0 +1,56 @@
+/*
+* @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.
+*/
+
+// TypeScript Version: 4.1
+
+/**
+* Computes the arctangent (in degrees) of a double-precision floating-point number.
+*
+* @param x - input value
+* @returns arctangent (in degrees)
+*
+* @example
+* var v = atand( 0.0 );
+* // returns 0.0
+*
+* @example
+* var v = atand( 0.5 );
+* // returns ~26.57
+*
+* @example
+* var v = atand( 1 / Math.sqrt( 3 ) );
+* // returns ~30.0
+*
+* @example
+* var v = atand( 1 );
+* // returns 45.0
+*
+* @example
+* var v = atand( Infinity );
+* // returns 90.0
+*
+* @example
+* var v = atand( NaN );
+* // returns NaN
+*/
+declare function atand( x: number ): number;
+
+
+// EXPORTS //
+
+export = atand;
diff --git a/base/special/atand/docs/types/test.ts b/base/special/atand/docs/types/test.ts
new file mode 100644
index 000000000..28dadd532
--- /dev/null
+++ b/base/special/atand/docs/types/test.ts
@@ -0,0 +1,44 @@
+/*
+* @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.
+*/
+
+import atand = require( './index' );
+
+
+// TESTS //
+
+// The function returns a number...
+{
+	atand( 0.5 ); // $ExpectType number
+}
+
+// The compiler throws an error if the function is provided a value other than a number...
+{
+	atand( true ); // $ExpectError
+	atand( false ); // $ExpectError
+	atand( null ); // $ExpectError
+	atand( undefined ); // $ExpectError
+	atand( '5' ); // $ExpectError
+	atand( [] ); // $ExpectError
+	atand( {} ); // $ExpectError
+	atand( ( x: number ): number => x ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided insufficient arguments...
+{
+	atand(); // $ExpectError
+}
diff --git a/base/special/atand/examples/index.js b/base/special/atand/examples/index.js
new file mode 100644
index 000000000..1aa81d837
--- /dev/null
+++ b/base/special/atand/examples/index.js
@@ -0,0 +1,29 @@
+/**
+* @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.
+*/
+
+'use strict';
+
+var linspace = require( '@stdlib/array/base/linspace' );
+var atand = require( './../lib' );
+
+var x = linspace( -1.0, 1.0, 100 );
+
+var i;
+for ( i = 0; i < x.length; i++ ) {
+	console.log( 'atand(%d) = %d', x[ i ], atand( x[ i ] ) );
+}
diff --git a/base/special/atand/lib/index.js b/base/special/atand/lib/index.js
new file mode 100644
index 000000000..c253667fc
--- /dev/null
+++ b/base/special/atand/lib/index.js
@@ -0,0 +1,55 @@
+/**
+* @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.
+*/
+
+'use strict';
+
+/**
+* Compute the tangent (in degrees) of a double-precision floating-point number.
+*
+* @module @stdlib/math/base/special/atand
+*
+* @example
+* var atand = require( '@stdlib/math/base/special/atand' );
+*
+* var v = atand( 0.0 );
+* // returns 0.0
+*
+* var v = atand( 0.5 );
+* // returns ~26.57
+*
+* var v = atand( 1.0 / Math.sqrt( 3.0 ) );
+* // returns ~30.0
+*
+* var v = atand( 1.0 );
+* // returns 45.0
+*
+* var v = atand( Infinity );
+* // returns 90.0
+*
+* var v = atand( NaN );
+* // returns NaN
+*/
+
+// MODULES //
+
+var main = require( './main.js' );
+
+
+// EXPORTS //
+
+module.exports = main;
diff --git a/base/special/atand/lib/main.js b/base/special/atand/lib/main.js
new file mode 100644
index 000000000..f8ed330b9
--- /dev/null
+++ b/base/special/atand/lib/main.js
@@ -0,0 +1,67 @@
+/**
+* @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.
+*/
+
+'use strict';
+
+// MODULES //
+
+var rad2deg = require( './../../../../base/special/rad2deg' );
+var atan = require( './../../../../base/special/atan' );
+
+
+// MAIN //
+
+/**
+* Computes the arctangent (in degrees) of a double-precision floating-point number.
+*
+* @param {number} x - input value
+* @returns {number} arctangent (in degrees)
+*
+* @example
+* var v = atand( 0.0 );
+* // returns 0.0
+*
+* @example
+* var v = atand( 0.5 );
+* // returns ~26.57
+*
+* @example
+* var v = atand( 1.0 / Math.sqrt( 3.0 ) );
+* // returns ~30.0
+*
+* @example
+* var v = atand( 1.0 );
+* // returns 45.0
+*
+* @example
+* var v = atand( Infinity );
+* // returns 90.0
+*
+* @example
+* var v = atand( NaN );
+* // returns NaN
+*/
+function atand( x ) {
+	var rad = atan( x );
+	return rad2deg( rad );
+}
+
+
+// EXPORTS //
+
+module.exports = atand;
diff --git a/base/special/atand/package.json b/base/special/atand/package.json
new file mode 100644
index 000000000..6baae8e59
--- /dev/null
+++ b/base/special/atand/package.json
@@ -0,0 +1,64 @@
+{
+  "name": "@stdlib/math/base/special/atand",
+  "version": "0.0.0",
+  "description": "Compute the arctangent(in degrees) of a double-precision floating-point number.",
+  "license": "Apache-2.0",
+  "author": {
+    "name": "The Stdlib Authors",
+    "url": "https://github.com/stdlib-js/stdlib/graphs/contributors"
+  },
+  "contributors": [
+    {
+      "name": "The Stdlib Authors",
+      "url": "https://github.com/stdlib-js/stdlib/graphs/contributors"
+    }
+  ],
+  "main": "./lib",
+  "directories": {
+    "benchmark": "./benchmark",
+    "doc": "./docs",
+    "example": "./examples",
+    "lib": "./lib",
+    "test": "./test"
+  },
+  "types": "./docs/types",
+  "scripts": {},
+  "homepage": "https://github.com/stdlib-js/stdlib",
+  "repository": {
+    "type": "git",
+    "url": "git://github.com/stdlib-js/stdlib.git"
+  },
+  "bugs": {
+    "url": "https://github.com/stdlib-js/stdlib/issues"
+  },
+  "dependencies": {},
+  "devDependencies": {},
+  "engines": {
+    "node": ">=0.10.0",
+    "npm": ">2.7.0"
+  },
+  "os": [
+    "aix",
+    "darwin",
+    "freebsd",
+    "linux",
+    "macos",
+    "openbsd",
+    "sunos",
+    "win32",
+    "windows"
+  ],
+  "keywords": [
+    "stdlib",
+    "stdmath",
+    "mathematics",
+    "math",
+    "degree",
+    "arctangent",
+    "tangent",
+    "inverse",
+    "trig",
+    "trigonometry",
+    "radians"
+  ]
+}
diff --git a/base/special/atand/test/fixtures/julia/REQUIRE b/base/special/atand/test/fixtures/julia/REQUIRE
new file mode 100644
index 000000000..ae40bf736
--- /dev/null
+++ b/base/special/atand/test/fixtures/julia/REQUIRE
@@ -0,0 +1,2 @@
+julia 1.5
+JSON 0.21
\ No newline at end of file
diff --git a/base/special/atand/test/fixtures/julia/negative.json b/base/special/atand/test/fixtures/julia/negative.json
new file mode 100644
index 000000000..f1548873d
--- /dev/null
+++ b/base/special/atand/test/fixtures/julia/negative.json
@@ -0,0 +1 @@
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\ No newline at end of file
diff --git a/base/special/atand/test/fixtures/julia/positive.json b/base/special/atand/test/fixtures/julia/positive.json
new file mode 100644
index 000000000..b2d551f72
--- /dev/null
+++ b/base/special/atand/test/fixtures/julia/positive.json
@@ -0,0 +1 @@
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.6208791208791,940.1198801198801,940.6188811188811,941.1178821178821,941.6168831168832,942.1158841158841,942.6148851148852,943.1138861138861,943.6128871128872,944.1118881118881,944.6108891108892,945.1098901098901,945.6088911088912,946.1078921078921,946.6068931068932,947.1058941058941,947.6048951048951,948.1038961038961,948.6028971028971,949.1018981018981,949.6008991008991,950.0999000999001,950.5989010989011,951.0979020979021,951.5969030969031,952.0959040959041,952.5949050949051,953.0939060939061,953.5929070929071,954.0919080919081,954.5909090909091,955.0899100899101,955.5889110889111,956.0879120879121,956.5869130869131,957.085914085914,957.5849150849151,958.083916083916,958.5829170829171,959.081918081918,959.5809190809191,960.07992007992,960.5789210789211,961.077922077922,961.5769230769231,962.075924075924,962.5749250749251,963.073926073926,963.5729270729271,964.071928071928,964.5709290709291,965.06993006993,965.5689310689311,966.067932067932,966.5669330669331,967.065934065934,967.5649350649351,968.063936063936,968.5629370629371,969.061938061938,969.5609390609391,970.05994005994,970.5589410589411,971.0579420579421,971.556943056943,972.0559440559441,972.554945054945,973.0539460539461,973.552947052947,974.0519480519481,974.550949050949,975.0499500499501,975.548951048951,976.0479520479521,976.546953046953,977.0459540459541,977.544955044955,978.0439560439561,978.542957042957,979.0419580419581,979.540959040959,980.0399600399601,980.538961038961,981.0379620379621,981.536963036963,982.0359640359641,982.534965034965,983.0339660339661,983.532967032967,984.0319680319681,984.530969030969,985.0299700299701,985.528971028971,986.027972027972,986.526973026973,987.025974025974,987.524975024975,988.023976023976,988.522977022977,989.021978021978,989.520979020979,990.01998001998,990.518981018981,991.017982017982,991.516983016983,992.015984015984,992.514985014985,993.013986013986,993.512987012987,994.011988011988,994.510989010989,995.00999000999,995.508991008991,996.007992007992,996.506993006993,997.005994005994,997.504995004995,998.003996003996,998.502997002997,999.001998001998,999.500999000999,1000.0]}
\ No newline at end of file
diff --git a/base/special/atand/test/fixtures/julia/runner.jl b/base/special/atand/test/fixtures/julia/runner.jl
new file mode 100644
index 000000000..69bd3c866
--- /dev/null
+++ b/base/special/atand/test/fixtures/julia/runner.jl
@@ -0,0 +1,69 @@
+#!/usr/bin/env julia
+#
+# @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.
+
+import JSON
+
+"""
+    gen( domain, name )
+
+Generate fixture data and write to file.
+
+# Arguments
+
+* `domain`: domain
+* `name::AbstractString`: output filename
+
+# Examples
+
+``` julia
+julia> x = range( -1, stop = 1, length = 2001 );
+julia> gen( x, \"data.json\" );
+```
+"""
+function gen( domain, name )
+	x = collect( domain );
+	y = atand.( x );
+
+	# Store data to be written to file as a collection:
+	data = Dict([
+		("x", x),
+		("expected", y)
+	]);
+
+	# Based on the script directory, create an output filepath:
+	filepath = joinpath( dir, name );
+
+	# Write the data to the output filepath as JSON:
+	outfile = open( filepath, "w" );
+	write( outfile, JSON.json(data) );
+	close( outfile );
+end
+
+# Get the filename:
+file = @__FILE__;
+
+# Extract the directory in which this file resides:
+dir = dirname( file );
+
+# Generate fixture data for negative values:
+x = range( -1.0, stop = -1000.0, length = 2003 );
+gen( x, "negative.json" );
+
+# Generate fixture data for positive values:
+x = range( 1.0, stop = 1000.0, length = 2003 );
+gen( x, "positive.json" );
\ No newline at end of file
diff --git a/base/special/atand/test/test.js b/base/special/atand/test/test.js
new file mode 100644
index 000000000..eb34ea565
--- /dev/null
+++ b/base/special/atand/test/test.js
@@ -0,0 +1,96 @@
+/**
+* @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.
+*/
+
+'use strict';
+
+// MODULES //
+
+var tape = require( 'tape' );
+var isnan = require( './../../../../base/assert/is-nan' );
+var abs = require( './../../../../base/special/abs' );
+var EPS = require( '@stdlib/constants/float64/eps' );
+var atand = require( './../lib' );
+
+
+// FIXTURES //
+
+var negative = require( './fixtures/julia/negative.json' );
+var positive = require( './fixtures/julia/positive.json' );
+
+
+// TESTS //
+
+tape( 'main export is a function', function test( t ) {
+	t.ok( true, __filename );
+	t.strictEqual( typeof atand, 'function', 'main export is a function' );
+	t.end();
+});
+
+tape( 'the function returns `NaN` if provided `NaN`', function test( t ) {
+	var v = atand( NaN );
+	t.equal( isnan( v ), true, 'returns NaN' );
+	t.end();
+});
+
+tape( 'the function computes the arctangent in degrees (negative values)', function test( t ) {
+	var expected;
+	var delta;
+	var tol;
+	var x;
+	var y;
+	var i;
+
+	x = negative.x;
+	expected = negative.expected;
+
+	for ( i = 0; i < x.length; i++ ) {
+		y = atand( x[i] );
+		if ( y === expected[ i ] ) {
+			t.equal( y, expected[ i ], 'x: '+x[i]+'. E: '+expected[i] );
+		} else {
+			delta = abs( y - expected[i] );
+			tol = EPS * abs( expected[i] );
+			t.ok( delta <= tol, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+expected[i]+'. tol: '+tol+'. Δ: '+delta+'.' );
+		}
+	}
+	t.end();
+});
+
+tape( 'the function computes the arctangent in degrees (positive values)', function test( t ) {
+	var expected;
+	var delta;
+	var tol;
+	var x;
+	var y;
+	var i;
+
+	x = positive.x;
+	expected = positive.expected;
+
+	for ( i = 0; i < x.length; i++ ) {
+		y = atand( x[i] );
+		if ( y === expected[ i ] ) {
+			t.equal( y, expected[ i ], 'x: '+x[i]+'. E: '+expected[i] );
+		} else {
+			delta = abs( y - expected[i] );
+			tol = EPS * abs( expected[i] );
+			t.ok( delta <= tol, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+expected[i]+'. tol: '+tol+'. Δ: '+delta+'.' );
+		}
+	}
+	t.end();
+});