diff --git a/lib/node_modules/@stdlib/math/base/special/csc/README.md b/lib/node_modules/@stdlib/math/base/special/csc/README.md
new file mode 100644
index 00000000000..631df3a2fee
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/csc/README.md
@@ -0,0 +1,75 @@
+
+
+# cosecant
+
+> Compute the [cosecant][cosecant] of a number.
+
+
+
+## Usage
+
+```javascript
+var csc = require( '@stdlib/math/base/special/csc' );
+```
+
+#### csc( x )
+
+Computes the [cosecant][cosecant] of a `number` (in radians).
+
+```javascript
+var v = csc( 0.0 );
+// returns ~Infinity
+
+v = csc( 3.141592653589793/2.0 );
+// returns ~1.0
+
+v = csc( -3.141592653589793/6.0 );
+// returns ~-2.0
+```
+
+
+
+
+
+
+
+## Examples
+
+
+
+```javascript
+var linspace = require( '@stdlib/array/base/linspace' );
+var TWO_PI = require( '@stdlib/constants/float64/two-pi' );
+var csc = require( '@stdlib/math/base/special/csc' );
+
+var x = linspace( 0.0, TWO_PI, 100 );
+
+var i;
+for ( i = 0; i < x.length; i++ ) {
+ console.log( csc( x[ i ] ) );
+}
+```
+
+
+
+
+
+
diff --git a/lib/node_modules/@stdlib/math/base/special/csc/benchmark/benchmark.js b/lib/node_modules/@stdlib/math/base/special/csc/benchmark/benchmark.js
new file mode 100644
index 00000000000..129c6731672
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/csc/benchmark/benchmark.js
@@ -0,0 +1,72 @@
+/**
+* @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 randu = require( '@stdlib/random/base/randu' );
+var isnan = require( '@stdlib/math/base/assert/is-nan' );
+var pkg = require( './../package.json' ).name;
+var csc = 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()*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();
+});
+
+bench( pkg+'::built-in', function benchmark( b ) {
+ var x;
+ var y;
+ var i;
+
+ b.tic();
+ for ( i = 0; i < b.iterations; i++ ) {
+ x = ( randu()*20.0 ) - 10.0;
+ y = 1 / Math.sin( x ); // eslint-disable-line stdlib/no-builtin-math
+ 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/lib/node_modules/@stdlib/math/base/special/csc/examples/index.js b/lib/node_modules/@stdlib/math/base/special/csc/examples/index.js
new file mode 100644
index 00000000000..1091a1c29d4
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/csc/examples/index.js
@@ -0,0 +1,30 @@
+/**
+* @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 linspace = require( '@stdlib/array/base/linspace' );
+var TWO_PI = require( '@stdlib/constants/float64/two-pi' );
+var csc = require( './../lib' );
+
+var x = linspace( 0.0, TWO_PI, 100 );
+
+var i;
+for ( i = 0; i < x.length; i++ ) {
+ console.log( 'csc(%d) = %d', x[ i ], csc( x[ i ] ) );
+}
diff --git a/lib/node_modules/@stdlib/math/base/special/csc/lib/csc.js b/lib/node_modules/@stdlib/math/base/special/csc/lib/csc.js
new file mode 100644
index 00000000000..909125d9a1b
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/csc/lib/csc.js
@@ -0,0 +1,72 @@
+/**
+* @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.
+*
+*
+* ## Notice
+*
+* The following copyright, license, and long comment were part of the original implementation available as part of [FreeBSD]{@link https://svnweb.freebsd.org/base/release/9.3.0/lib/msun/src/s_sin.c}. The implementation follows the original, but has been modified for JavaScript.
+*
+* ```text
+* Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+*
+* Developed at SunPro, a Sun Microsystems, Inc. business.
+* Permission to use, copy, modify, and distribute this
+* software is freely granted, provided that this notice
+* is preserved.
+* ```
+*/
+
+'use strict';
+
+// MODULES //
+var sin = require('@stdlib/math/base/special/sin/lib');
+
+// MAIN //
+
+/**
+* Computes the csc of a number.
+*
+* ## Method
+* csc(x) = 1 / sin(x)
+*
+* @param {number} x - input value (in radians)
+* @returns {number} csc
+*
+* @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
+*/
+function csc( x ) {
+ return 1 / sin( x );
+}
+
+
+// EXPORTS //
+
+module.exports = csc;
diff --git a/lib/node_modules/@stdlib/math/base/special/csc/lib/index.js b/lib/node_modules/@stdlib/math/base/special/csc/lib/index.js
new file mode 100644
index 00000000000..b0d812e39bf
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/csc/lib/index.js
@@ -0,0 +1,49 @@
+/**
+* @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';
+
+/**
+* Compute the csc of a number.
+*
+* @module @stdlib/math/base/special/csc
+*
+* @example
+* var csc = require( '@stdlib/math/base/special/csc' );
+*
+* var v = csc( 0.0 );
+* // returns ~Infinity
+*
+* v = csc( 3.141592653589793/2.0 );
+* // returns ~1.0
+*
+* v = csc( -3.141592653589793/6.0 );
+* // returns ~-2.0
+*
+* v = csc( NaN );
+* // returns NaN
+*/
+
+// MODULES //
+
+var csc = require( '@stdlib/math/base/special/csc/lib/csc' );
+
+
+// EXPORTS //
+
+module.exports = csc;
diff --git a/lib/node_modules/@stdlib/math/base/special/csc/package.json b/lib/node_modules/@stdlib/math/base/special/csc/package.json
new file mode 100644
index 00000000000..4ffcd9b64b4
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/csc/package.json
@@ -0,0 +1,64 @@
+{
+ "name": "@stdlib/math/base/special/sin",
+ "version": "0.0.0",
+ "description": "Compute the sine of a 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",
+ "math.sin",
+ "sin",
+ "sine",
+ "trig",
+ "trigonometry",
+ "radians",
+ "angle"
+ ]
+}
diff --git a/lib/node_modules/@stdlib/math/base/special/csc/test/fixtures/julia/REQUIRE b/lib/node_modules/@stdlib/math/base/special/csc/test/fixtures/julia/REQUIRE
new file mode 100644
index 00000000000..308c3be89c8
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/csc/test/fixtures/julia/REQUIRE
@@ -0,0 +1,2 @@
+julia 1.5
+JSON 0.21
diff --git a/lib/node_modules/@stdlib/math/base/special/csc/test/fixtures/julia/huge_negative.json b/lib/node_modules/@stdlib/math/base/special/csc/test/fixtures/julia/huge_negative.json
new file mode 100644
index 00000000000..a537acddde2
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/csc/test/fixtures/julia/huge_negative.json
@@ -0,0 +1 @@
+{"expected":[0.9959748854655721,-0.6175515204149469,-0.14923186447229106,0.5360798368606496,0.24704627969715842,-0.8748122442480804,0.9524344729351254,-0.4310986251306361,-0.9173166158470507,0.3390157842848523,0.8730626133516642,-0.9594273045912866,0.8630168256836014,0.9827531328860367,-0.8083664842384198,-0.9962910914677245,0.6361226262327053,-0.9978282967740859,-0.7098618670924043,0.9994246698497325,0.776531137644334,-0.9910671306668833,0.7891221295093308,0.192589806596542,-0.8464156412813347,-0.28943847399974326,0.8952791559943309,-0.30874861107877055,0.39098423766468454,0.4020150946532629,-0.29729780704773934,-0.4912776516693173,0.970903019194982,-0.8399559837239944,0.18078529125067724,0.7816847751969996,-0.0818536911497041,-0.669452776032005,0.9997600475437358,-0.7013475781744907,-0.9969648150480391,0.6268056500353275,0.1375331852304135,-0.5460209618044817,0.9804602444575952,0.8690244833223554,-0.955970186070779,0.4417343061454208,0.9219590065420192,-0.9220344897857679,-0.4419091941927871,0.956027377968241,-0.8689280127647571,-0.980498575397927,0.8152685629322721,-0.13734008757594007,-0.6269575365430986,0.9969799734437683,0.7014865272869827,-0.9997557581374239,0.6693079455885816,0.08204798301660124,-0.7818063440367006,-0.18097702318015937,0.8400617569606741,0.2781035969209006,0.4911078423873261,0.2974839344007275,-0.40183658655325066,-0.3911636594913742,0.3085631820375684,-0.8951922887373207,0.28925186531882985,0.8463118111518922,-0.19239850488531315,-0.7890023706184097,0.09362892415619169,-0.7764082905253504,-0.9994312627994838,0.7097245440338888,0.9978154368616063,-0.6359721949232058,0.996274297908531,0.8084812305436703,-0.9827170640414763,-0.8631152919709386,0.9593723196941507,-0.4523082627947045,-0.33919918077665273,0.9173942184673309,0.4312745190937726,-0.9524938638413822,0.8747177829002335,-0.24685737006347744,-0.5362443950579417,0.14903909701789086,0.617704840897602,-0.9959923402264397,-0.6930131674496053,-0.029515755365699555,-0.6780437266078234,-0.0702614877130902,0.7743813152930384,0.16933895150390957,0.5851146559928825,0.9736214425504678,-0.5013704562385474,-0.2861776897329626,0.4126327860597221,0.380257566295565,0.394115782113619,0.9003979595013791,-0.30054697842015876,-0.8525493818385034,0.20398483431495937,-0.8417987697322418,-0.9894497067872101,0.7838037567815448,0.9989628256449482,-0.7180023387477554,-0.9985266320472875,0.737868273348782,-0.9972241150553967,-0.8014680521963323,0.9848365667215057,-0.5488702793004472,-0.23226441190597036,0.8673348337627911,0.32805565504658013,-0.9126257579291267,0.9232723164009794,0.9488272559552856,-0.4388522827456602,0.2582949141664531,0.526229586705647,-0.9798237506330675,-0.6083658321927825,-0.14071187243420227,-0.755723512334484,0.04132916072677828,0.6990558866351819,0.058465174639738965,-0.7668480807915772,0.9929827436425522,-0.5946597130539275,-0.1776273518269009,0.5115630126528394,0.2748314569183104,-0.8883924923027814,0.94326957253873,-0.40495211306037254,-0.9054778159649057,0.31180009552686344,0.8586678241963427,-0.9671444681640909,0.8481206252063869,0.9876680450902894,-0.7910897006644673,-0.9983548015357337,0.7261798056442647,-0.999310652523734,-0.7298384577550383,0.9980345882008848,0.7943428832104976,-0.9868184563355871,0.8064727178680731,0.2207508291321449,-0.8613908184061767,-0.3168662894827543,0.9077297744771159,-0.9277486553073642,0.36433364557498443,0.42820009700024264,-0.2696963662352189,-0.5161412473033627,0.9773927843530679,-0.8239906956381227,0.15240505085616804,0.7634119268150518,-0.0531367910864884,-0.6905545124567646,-0.04666069211756219,-0.6805424311489834,-0.9943112663681286,0.6041216771947111,0.1659822977151732,-0.5216840874051222,0.9743926805750732,0.8829037590247608,-0.9471284447227601,0.41573185928665224,0.9104311483100015,-0.32300964421972345,-0.4675431415364152,0.9640717726770004,-0.8543239711902549,-0.9857483746796223,0.7982651040954744,-0.10877634666046655,-0.6491186615087764,0.9988020016207896,0.7217066604607645,-0.998705604096058,-0.7871067191994311,0.11069653233945854,-0.7994271809240315,-0.20920640042973193,0.8553264392902281,0.30563264759627284,0.4658345695722655,0.32483733764690553,-0.3753163597015288,-0.4174880780498258,0.2810601331234312,0.5059807865137298,0.2615827227515662,0.8306307280307431,-0.16407693343370344,-0.7709936683111059,0.06493699654242957,-0.7579489337606615,-0.9999877758861966,0.6891559534255756,0.9955008521101534,-0.613499226277186,-0.15431405058477266,0.8250837517044153,-0.9769825058891533,-0.8772916559437477,0.9508549728676583,-0.4264535145182412,-0.366132038409091,0.9284679020411355,0.4570614018730436,-0.9608643656276924,0.860407940878643,0.983690963794366,-0.5603140355775518,0.12051922386216606,0.6400815181523697,-0.9981537862354098,-0.7134740177372926,-0.0007364994422978709,-0.6566092652038655,-0.09894082736733731,0.792269938516275,0.19763273892346916,-0.8491425438020463,0.9666515337632018,-0.4762617550918658,-0.3136350582809919,0.3862466301671612,0.406717722704967,-0.9439092410264316,0.8875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\ No newline at end of file
diff --git a/lib/node_modules/@stdlib/math/base/special/csc/test/fixtures/julia/huge_positive.json b/lib/node_modules/@stdlib/math/base/special/csc/test/fixtures/julia/huge_positive.json
new file mode 100644
index 00000000000..18614eed240
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/csc/test/fixtures/julia/huge_positive.json
@@ -0,0 +1 @@
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\ No newline at end of file
diff --git a/lib/node_modules/@stdlib/math/base/special/csc/test/fixtures/julia/large_negative.json b/lib/node_modules/@stdlib/math/base/special/csc/test/fixtures/julia/large_negative.json
new file mode 100644
index 00000000000..d28645a5d47
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/csc/test/fixtures/julia/large_negative.json
@@ -0,0 +1 @@
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\ No newline at end of file
diff --git a/lib/node_modules/@stdlib/math/base/special/csc/test/fixtures/julia/large_positive.json b/lib/node_modules/@stdlib/math/base/special/csc/test/fixtures/julia/large_positive.json
new file mode 100644
index 00000000000..5e177d70fdb
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/csc/test/fixtures/julia/large_positive.json
@@ -0,0 +1 @@
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\ No newline at end of file
diff --git a/lib/node_modules/@stdlib/math/base/special/csc/test/fixtures/julia/medium_negative.json b/lib/node_modules/@stdlib/math/base/special/csc/test/fixtures/julia/medium_negative.json
new file mode 100644
index 00000000000..21d86852972
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/csc/test/fixtures/julia/medium_negative.json
@@ -0,0 +1 @@
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\ No newline at end of file
diff --git a/lib/node_modules/@stdlib/math/base/special/csc/test/fixtures/julia/medium_positive.json b/lib/node_modules/@stdlib/math/base/special/csc/test/fixtures/julia/medium_positive.json
new file mode 100644
index 00000000000..4f6d6ab348f
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/csc/test/fixtures/julia/medium_positive.json
@@ -0,0 +1 @@
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\ No newline at end of file
diff --git a/lib/node_modules/@stdlib/math/base/special/csc/test/fixtures/julia/runner.jl b/lib/node_modules/@stdlib/math/base/special/csc/test/fixtures/julia/runner.jl
new file mode 100644
index 00000000000..31e809e8d2b
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/csc/test/fixtures/julia/runner.jl
@@ -0,0 +1,85 @@
+#!/usr/bin/env julia
+#
+# @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.
+
+import JSON
+
+"""
+ gen( domain, name )
+
+Generate fixture data and write to file.
+
+# Arguments
+
+* `domain`: domain
+* `name::AbstractString`: output filename
+
+# Examples
+
+``` julia
+julia> x = range( -1000.0, stop = 1000.0, length = 2001 );
+julia> gen( x, \"data.json\" );
+```
+"""
+function gen( domain, name )
+ x = collect( domain );
+ y = 1 / sin.( 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 );
+
+# Negative medium sized values:
+x = range( -256.0*pi, stop = 0.0, length = 4000 )
+gen( x, "medium_negative.json" );
+
+# Positive medium sized values:
+x = range( 0.0, stop = 256.0*pi, length = 4000 )
+gen( x, "medium_positive.json" );
+
+# Negative large values:
+x = range( -2.0^20*(pi/2.0), stop = -2.0^60*(pi/2.0), length = 4000 )
+gen( x, "large_negative.json" );
+
+# Positive large values:
+x = range( 2.0^20*(pi/2.0), stop = 2.0^60*(pi/2.0), length = 4000 )
+gen( x, "large_positive.json" );
+
+# Negative huge values:
+x = range( -2.0^60*(pi/2.0), stop = -2.0^1000*(pi/2.0), length = 4000 )
+gen( x, "huge_negative.json" );
+
+# Positive huge values:
+x = range( 2.0^60*(pi/2.0), stop = 2.0^1000*(pi/2.0), length = 4000 )
+gen( x, "huge_positive.json" );
diff --git a/lib/node_modules/@stdlib/math/base/special/csc/test/test.js b/lib/node_modules/@stdlib/math/base/special/csc/test/test.js
new file mode 100644
index 00000000000..3cf9aeb4c27
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/csc/test/test.js
@@ -0,0 +1,210 @@
+/**
+* @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 tape = require( 'tape' );
+var isnan = require( '@stdlib/math/base/assert/is-nan' );
+var PINF = require( '@stdlib/constants/float64/pinf' );
+var NINF = require( '@stdlib/constants/float64/ninf' );
+var EPS = require( '@stdlib/constants/float64/eps' );
+var abs = require( '@stdlib/math/base/special/abs' );
+var csc = require('./../lib');
+
+
+// FIXTURES //
+
+var mediumNegative = require( './fixtures/julia/medium_negative.json' );
+var mediumPositive = require( './fixtures/julia/medium_positive.json' );
+var largeNegative = require( './fixtures/julia/large_negative.json' );
+var largePositive = require( './fixtures/julia/large_positive.json' );
+var hugeNegative = require( './fixtures/julia/huge_negative.json' );
+var hugePositive = require( './fixtures/julia/huge_positive.json' );
+
+
+// TESTS //
+
+tape( 'main export is a function', function test( t ) {
+ t.ok( true, __filename );
+ t.equal( typeof csc, 'function', 'main export is a function' );
+ t.end();
+});
+
+tape( 'the function computes the csc (medium negative values)', function test( t ) {
+ var expected;
+ var delta;
+ var tol;
+ var x;
+ var y;
+ var i;
+
+ x = mediumNegative.x;
+ expected = mediumNegative.expected;
+
+ for ( i = 0; i < x.length; i++ ) {
+ y = csc( x[ i ] );
+ if ( y === expected[ i ] ) {
+ t.equal( y, expected[ i ], 'x: '+x[i]+'. Expected: '+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 csc (medium positive values)', function test( t ) {
+ var expected;
+ var delta;
+ var tol;
+ var x;
+ var y;
+ var i;
+
+ x = mediumPositive.x;
+ expected = mediumPositive.expected;
+
+ for ( i = 0; i < x.length; i++ ) {
+ y = csc( x[ i ] );
+ if ( y === expected[ i ] ) {
+ t.equal( y, expected[ i ], 'x: '+x[i]+'. Expected: '+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 csc (large negative values)', function test( t ) {
+ var expected;
+ var delta;
+ var tol;
+ var x;
+ var y;
+ var i;
+
+ x = largeNegative.x;
+ expected = largeNegative.expected;
+
+ for ( i = 0; i < x.length; i++ ) {
+ y = csc( x[ i ] );
+ if ( y === expected[ i ] ) {
+ t.equal( y, expected[ i ], 'x: '+x[i]+'. Expected: '+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 csc (large positive values)', function test( t ) {
+ var expected;
+ var delta;
+ var tol;
+ var x;
+ var y;
+ var i;
+
+ x = largePositive.x;
+ expected = largePositive.expected;
+
+ for ( i = 0; i < x.length; i++ ) {
+ y = csc( x[ i ] );
+ if ( y === expected[ i ] ) {
+ t.equal( y, expected[ i ], 'x: '+x[i]+'. Expected: '+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 csc (huge negative values)', function test( t ) {
+ var expected;
+ var delta;
+ var tol;
+ var x;
+ var y;
+ var i;
+
+ x = hugeNegative.x;
+ expected = hugeNegative.expected;
+
+ for ( i = 0; i < x.length; i++ ) {
+ y = csc( x[ i ] );
+ if ( y === expected[ i ] ) {
+ t.equal( y, expected[ i ], 'x: '+x[i]+'. Expected: '+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 csc (huge positive values)', function test( t ) {
+ var expected;
+ var delta;
+ var tol;
+ var x;
+ var y;
+ var i;
+
+ x = hugePositive.x;
+ expected = hugePositive.expected;
+
+ for ( i = 0; i < x.length; i++ ) {
+ y = csc( x[ i ] );
+ if ( y === expected[ i ] ) {
+ t.equal( y, expected[ i ], 'x: '+x[i]+'. Expected: '+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 returns `NaN` if provided `NaN`', function test( t ) {
+ var v = csc( NaN );
+ t.equal( isnan( v ), true, 'returns NaN' );
+ t.end();
+});
+
+tape( 'the function returns `NaN` if provided `+infinity`', function test( t ) {
+ var v = csc( PINF );
+ t.equal( isnan( v ), true, 'returns NaN' );
+ t.end();
+});
+
+tape( 'the function returns `NaN` if provided `-infinity`', function test( t ) {
+ var v = csc( NINF );
+ t.equal( isnan( v ), true, 'returns NaN' );
+ t.end();
+});
diff --git a/lib/node_modules/@stdlib/math/base/special/sec/README.md b/lib/node_modules/@stdlib/math/base/special/sec/README.md
new file mode 100644
index 00000000000..f5b5d068181
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/sec/README.md
@@ -0,0 +1,76 @@
+
+
+# Secant
+
+> Compute the [secant][secant] of a number.
+
+
+
+## Usage
+
+```javascript
+var sec = require( '@stdlib/math/base/special/sec' );
+```
+
+#### sec( x )
+
+Computes the [secant][secant] of a `number` (in radians).
+
+```javascript
+var v = sec( 0.0 );
+// returns 1.0
+
+v = sec( 3.141592653589793/4.0 );
+// returns ~1.4144
+
+v = sec( -3.141592653589793/6.0 );
+// returns ~1.1547
+
+v = sec( NaN );
+// returns NaN
+```
+
+
+
+
+
+
+
+## Examples
+
+
+
+```javascript
+var linspace = require( '@stdlib/array/base/linspace' );
+var TWO_PI = require( '@stdlib/constants/float64/two-pi' );
+var sec = require( '@stdlib/math/base/special/sec' );
+
+var x = linspace( 0.0, TWO_PI, 100 );
+
+var i;
+for ( i = 0; i < x.length; i++ ) {
+ console.log( sec( x[ i ] ) );
+}
+```
+
+
+
+
diff --git a/lib/node_modules/@stdlib/math/base/special/sec/benchmark/benchmark.js b/lib/node_modules/@stdlib/math/base/special/sec/benchmark/benchmark.js
new file mode 100644
index 00000000000..abc368e63d9
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/sec/benchmark/benchmark.js
@@ -0,0 +1,72 @@
+/**
+* @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 randu = require( '@stdlib/random/base/randu' );
+var isnan = require( '@stdlib/math/base/assert/is-nan' );
+var pkg = require( './../package.json' ).name;
+var sec = 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()*20.0 ) - 10.0;
+ y = sec( 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();
+});
+
+bench( pkg+'::built-in', function benchmark( b ) {
+ var x;
+ var y;
+ var i;
+
+ b.tic();
+ for ( i = 0; i < b.iterations; i++ ) {
+ x = ( randu()*20.0 ) - 10.0;
+ y = 1 / Math.cos( x ); // eslint-disable-line stdlib/no-builtin-math
+ 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/lib/node_modules/@stdlib/math/base/special/sec/examples/index.js b/lib/node_modules/@stdlib/math/base/special/sec/examples/index.js
new file mode 100644
index 00000000000..2f07f6cc98c
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/sec/examples/index.js
@@ -0,0 +1,30 @@
+/**
+* @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 linspace = require( '@stdlib/array/base/linspace' );
+var TWO_PI = require( '@stdlib/constants/float64/two-pi' );
+var sec = require( './../lib' );
+
+var x = linspace( 0.0, TWO_PI, 100 );
+
+var i;
+for ( i = 0; i < x.length; i++ ) {
+ console.log( 'sec(%d) = %d', x[ i ], sec( x[ i ] ) );
+}
diff --git a/lib/node_modules/@stdlib/math/base/special/sec/lib/index.js b/lib/node_modules/@stdlib/math/base/special/sec/lib/index.js
new file mode 100644
index 00000000000..a276951d4bb
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/sec/lib/index.js
@@ -0,0 +1,46 @@
+/**
+* @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';
+
+/**
+* Compute the secant of a number.
+*
+* @module @stdlib/math/base/special/sec
+*
+* @example
+* var sec = require( '@stdlib/math/base/special/sec' );
+*
+* var v = sec( 0.0 );
+* // returns 1.0
+*
+* v = sec( 3.141592653589793/4.0 );
+* // returns ~1.4144
+*
+* v = sec( -3.141592653589793/6.0 );
+* // returns ~1.1547
+*/
+
+// MODULES //
+
+var sec = require( './sec.js' );
+
+
+// EXPORTS //
+
+module.exports = sec;
diff --git a/lib/node_modules/@stdlib/math/base/special/sec/lib/sec.js b/lib/node_modules/@stdlib/math/base/special/sec/lib/sec.js
new file mode 100644
index 00000000000..e2e9dd08960
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/sec/lib/sec.js
@@ -0,0 +1,69 @@
+/**
+* @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.
+*
+*
+* ## Notice
+*
+* The following copyright, license, and long comment were part of the original implementation available as part of [FreeBSD]{@link https://svnweb.freebsd.org/base/release/9.3.0/lib/msun/src/s_cos.c}. The implementation follows the original, but has been modified for JavaScript.
+*
+* ```text
+* Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
+*
+* Developed at SunPro, a Sun Microsystems, Inc. business.
+* Permission to use, copy, modify, and distribute this
+* software is freely granted, provided that this notice
+* is preserved.
+* ```
+*/
+
+'use strict';
+
+// MODULES //
+var cos = require('@stdlib/math/base/special/cos/lib');
+
+// MAIN //
+
+/**
+* Computes the secant of a number.
+*
+* @param {number} x - input value (in radians)
+* @returns {number} secant
+*
+* @example
+* var v = sec( 0.0 );
+* // returns 1.0
+*
+* @example
+* var v = sec( 3.141592653589793/4.0 );
+* // returns ~1.4144
+*
+* @example
+* var v = sec( -3.141592653589793/6.0 );
+* // returns ~1.1547
+*
+* @example
+* var v = sec( NaN );
+* // returns NaN
+*/
+function sec( x ) {
+ return 1 / cos(x);
+}
+
+
+// EXPORTS //
+
+module.exports = sec;
diff --git a/lib/node_modules/@stdlib/math/base/special/sec/package.json b/lib/node_modules/@stdlib/math/base/special/sec/package.json
new file mode 100644
index 00000000000..03604980272
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/sec/package.json
@@ -0,0 +1,64 @@
+{
+ "name": "@stdlib/math/base/special/cos",
+ "version": "0.0.0",
+ "description": "Compute the cosine of a 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",
+ "scripts": "./scripts",
+ "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",
+ "math.cos",
+ "cos",
+ "cosine",
+ "trig",
+ "trigonometry",
+ "radians"
+ ]
+}
diff --git a/lib/node_modules/@stdlib/math/base/special/sec/test/fixtures/julia/REQUIRE b/lib/node_modules/@stdlib/math/base/special/sec/test/fixtures/julia/REQUIRE
new file mode 100644
index 00000000000..308c3be89c8
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/sec/test/fixtures/julia/REQUIRE
@@ -0,0 +1,2 @@
+julia 1.5
+JSON 0.21
diff --git a/lib/node_modules/@stdlib/math/base/special/sec/test/fixtures/julia/huge_negative.json b/lib/node_modules/@stdlib/math/base/special/sec/test/fixtures/julia/huge_negative.json
new file mode 100644
index 00000000000..a16bb1fe134
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/sec/test/fixtures/julia/huge_negative.json
@@ -0,0 +1 @@
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\ No newline at end of file
diff --git a/lib/node_modules/@stdlib/math/base/special/sec/test/fixtures/julia/huge_positive.json b/lib/node_modules/@stdlib/math/base/special/sec/test/fixtures/julia/huge_positive.json
new file mode 100644
index 00000000000..240b326036a
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/sec/test/fixtures/julia/huge_positive.json
@@ -0,0 +1 @@
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\ No newline at end of file
diff --git a/lib/node_modules/@stdlib/math/base/special/sec/test/fixtures/julia/large_negative.json b/lib/node_modules/@stdlib/math/base/special/sec/test/fixtures/julia/large_negative.json
new file mode 100644
index 00000000000..0ee10472c21
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/sec/test/fixtures/julia/large_negative.json
@@ -0,0 +1 @@
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\ No newline at end of file
diff --git a/lib/node_modules/@stdlib/math/base/special/sec/test/fixtures/julia/large_positive.json b/lib/node_modules/@stdlib/math/base/special/sec/test/fixtures/julia/large_positive.json
new file mode 100644
index 00000000000..be74e3c6594
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/sec/test/fixtures/julia/large_positive.json
@@ -0,0 +1 @@
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\ No newline at end of file
diff --git a/lib/node_modules/@stdlib/math/base/special/sec/test/fixtures/julia/medium_negative.json b/lib/node_modules/@stdlib/math/base/special/sec/test/fixtures/julia/medium_negative.json
new file mode 100644
index 00000000000..98cd1a255cc
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/sec/test/fixtures/julia/medium_negative.json
@@ -0,0 +1 @@
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\ No newline at end of file
diff --git a/lib/node_modules/@stdlib/math/base/special/sec/test/fixtures/julia/medium_positive.json b/lib/node_modules/@stdlib/math/base/special/sec/test/fixtures/julia/medium_positive.json
new file mode 100644
index 00000000000..012a25136d8
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/sec/test/fixtures/julia/medium_positive.json
@@ -0,0 +1 @@
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\ No newline at end of file
diff --git a/lib/node_modules/@stdlib/math/base/special/sec/test/fixtures/julia/runner.jl b/lib/node_modules/@stdlib/math/base/special/sec/test/fixtures/julia/runner.jl
new file mode 100644
index 00000000000..bf2bdd3a619
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/sec/test/fixtures/julia/runner.jl
@@ -0,0 +1,85 @@
+#!/usr/bin/env julia
+#
+# @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.
+
+import JSON
+
+"""
+ gen( domain, name )
+
+Generate fixture data and write to file.
+
+# Arguments
+
+* `domain`: domain
+* `name::AbstractString`: output filename
+
+# Examples
+
+``` julia
+julia> x = range( -1000.0, stop = 1000.0, length = 2001 );
+julia> gen( x, \"data.json\" );
+```
+"""
+function gen( domain, name )
+ x = collect( domain );
+ y = 1 / cos.( 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 );
+
+# Negative medium sized values:
+x = range( -256.0*pi, stop = 0.0, length = 4000 )
+gen( x, "medium_negative.json" );
+
+# Positive medium sized values:
+x = range( 0.0, stop = 256.0*pi, length = 4000 )
+gen( x, "medium_positive.json" );
+
+# Negative large values:
+x = range( -2.0^20*(pi/2.0), stop = -2.0^60*(pi/2.0), length = 4000 )
+gen( x, "large_negative.json" );
+
+# Positive large values:
+x = range( 2.0^20*(pi/2.0), stop = 2.0^60*(pi/2.0), length = 4000 )
+gen( x, "large_positive.json" );
+
+# Negative huge values:
+x = range( -2.0^60*(pi/2.0), stop = -2.0^1000*(pi/2.0), length = 4000 )
+gen( x, "huge_negative.json" );
+
+# Positive huge values:
+x = range( 2.0^60*(pi/2.0), stop = 2.0^1000*(pi/2.0), length = 4000 )
+gen( x, "huge_positive.json" );
diff --git a/lib/node_modules/@stdlib/math/base/special/sec/test/test.js b/lib/node_modules/@stdlib/math/base/special/sec/test/test.js
new file mode 100644
index 00000000000..5b97b87303a
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/sec/test/test.js
@@ -0,0 +1,216 @@
+/**
+* @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 tape = require( 'tape' );
+var isnan = require( '@stdlib/math/base/assert/is-nan' );
+var abs = require( '@stdlib/math/base/special/abs' );
+var PINF = require( '@stdlib/constants/float64/pinf' );
+var NINF = require( '@stdlib/constants/float64/ninf' );
+var EPS = require( '@stdlib/constants/float64/eps' );
+var sec = require( './../lib' );
+
+
+// FIXTURES //
+
+var mediumNegative = require( './fixtures/julia/medium_negative.json' );
+var mediumPositive = require( './fixtures/julia/medium_positive.json' );
+var largeNegative = require( './fixtures/julia/large_negative.json' );
+var largePositive = require( './fixtures/julia/large_positive.json' );
+var hugeNegative = require( './fixtures/julia/huge_negative.json' );
+var hugePositive = require( './fixtures/julia/huge_positive.json' );
+
+
+// TESTS //
+
+tape( 'main export is a function', function test( t ) {
+ t.ok( true, __filename );
+ t.equal( typeof sec, 'function', 'main export is a function' );
+ t.end();
+});
+
+tape( 'the function computes the secant (medium negative values)', function test( t ) {
+ var expected;
+ var delta;
+ var tol;
+ var x;
+ var y;
+ var i;
+
+ x = mediumNegative.x;
+ expected = mediumNegative.expected;
+
+ for ( i = 0; i < x.length; i++ ) {
+ y = sec( x[ i ] );
+ if ( y === expected[ i ] ) {
+ t.equal( y, expected[ i ], 'x: '+x[i]+'. Expected: '+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 secant (positive medium values)', function test( t ) {
+ var expected;
+ var delta;
+ var tol;
+ var x;
+ var y;
+ var i;
+
+ x = mediumPositive.x;
+ expected = mediumPositive.expected;
+
+ for ( i = 0; i < x.length; i++ ) {
+ y = sec( x[ i ] );
+ if ( y === expected[ i ] ) {
+ t.equal( y, expected[ i ], 'x: '+x[i]+'. Expected: '+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 secant (large negative values)', function test( t ) {
+ var expected;
+ var delta;
+ var tol;
+ var x;
+ var y;
+ var i;
+
+ x = largeNegative.x;
+ expected = largeNegative.expected;
+
+ for ( i = 0; i < x.length; i++ ) {
+ y = sec( x[ i ] );
+ if ( y === expected[ i ] ) {
+ t.equal( y, expected[ i ], 'x: '+x[i]+'. Expected: '+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 secant (large positive values)', function test( t ) {
+ var expected;
+ var delta;
+ var tol;
+ var x;
+ var y;
+ var i;
+
+ x = largePositive.x;
+ expected = largePositive.expected;
+
+ for ( i = 0; i < x.length; i++ ) {
+ y = sec( x[ i ] );
+ if ( y === expected[ i ] ) {
+ t.equal( y, expected[ i ], 'x: '+x[i]+'. Expected: '+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 secant (huge negative values)', function test( t ) {
+ var expected;
+ var delta;
+ var tol;
+ var x;
+ var y;
+ var i;
+
+ x = hugeNegative.x;
+ expected = hugeNegative.expected;
+
+ for ( i = 0; i < x.length; i++ ) {
+ y = sec( x[ i ] );
+ if ( y === expected[ i ] ) {
+ t.equal( y, expected[ i ], 'x: '+x[i]+'. Expected: '+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 secant (huge positive values)', function test( t ) {
+ var expected;
+ var delta;
+ var tol;
+ var x;
+ var y;
+ var i;
+
+ x = hugePositive.x;
+ expected = hugePositive.expected;
+
+ for ( i = 0; i < x.length; i++ ) {
+ y = sec( x[ i ] );
+ if ( y === expected[ i ] ) {
+ t.equal( y, expected[ i ], 'x: '+x[i]+'. Expected: '+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 returns `NaN` if provided a `NaN`', function test( t ) {
+ var v = sec( NaN );
+ t.equal( isnan( v ), true, 'returns NaN' );
+ t.end();
+});
+
+tape( 'the function returns `NaN` if provided a `+infinity`', function test( t ) {
+ var v = sec( PINF );
+ t.equal( isnan( v ), true, 'returns NaN' );
+ t.end();
+});
+
+tape( 'the function returns `NaN` if provided a `-infinity`', function test( t ) {
+ var v = sec( NINF );
+ t.equal( isnan( v ), true, 'returns NaN' );
+ t.end();
+});
diff --git a/lib/node_modules/@stdlib/math/base/special/sech/README.md b/lib/node_modules/@stdlib/math/base/special/sech/README.md
new file mode 100644
index 00000000000..ff578767fb5
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/sech/README.md
@@ -0,0 +1,114 @@
+
+
+# sech
+
+> Compute the [hyperbolic secant][hyperbolic-secant] of a number.
+
+
+
+## Usage
+
+```javascript
+var sech = require( '@stdlib/math/base/special/sech' );
+```
+
+#### sech( x )
+
+Computes the [hyperbolic secant][hyperbolic-secant] of a `number` (in radians).
+
+```javascript
+var v = sech( 0.0 );
+// returns 1.0
+
+v = sech( 2.0 );
+// returns ~0.2658
+
+v = sech( -2.0 );
+// returns ~0.2658
+
+v = sech( 710.0 );
+// returns ~0.0
+
+v = sech( NaN );
+// returns NaN
+```
+
+
+
+
+
+
+
+## Examples
+
+
+
+```javascript
+var linspace = require( '@stdlib/array/base/linspace' );
+var sech = require( '@stdlib/math/base/special/sech' );
+
+var x = linspace( -5.0, 5.0, 100 );
+
+var i;
+for ( i = 0; i < x.length; i++ ) {
+ console.log( sech( x[ i ] ) );
+}
+```
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+[hyperbolic-secant]: http://mathworld.wolfram.com/HyperbolicSecant.html
+
+
+
+[@stdlib/math/base/special/cos]: https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/math/base/special/cos
+
+[@stdlib/math/base/special/sinh]: https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/math/base/special/sinh
+
+[@stdlib/math/base/special/tanh]: https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/math/base/special/tanh
+
+
+
+
+
+
diff --git a/lib/node_modules/@stdlib/math/base/special/sech/benchmark/benchmark.js b/lib/node_modules/@stdlib/math/base/special/sech/benchmark/benchmark.js
new file mode 100644
index 00000000000..fb9d4199000
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/sech/benchmark/benchmark.js
@@ -0,0 +1,79 @@
+/**
+* @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 randu = require( '@stdlib/random/base/randu' );
+var isnan = require( '@stdlib/math/base/assert/is-nan' );
+var pkg = require( './../package.json' ).name;
+var sech = require( './../lib' );
+
+
+// VARIABLES //
+
+var opts = {
+ 'skip': ( typeof Math.cosh !== 'function' ) // eslint-disable-line stdlib/no-builtin-math
+};
+
+
+// MAIN //
+
+bench( pkg, function benchmark( b ) {
+ var x;
+ var y;
+ var i;
+
+ b.tic();
+ for ( i = 0; i < b.iterations; i++ ) {
+ x = ( randu()*10.0 ) - 5.0;
+ y = sech( 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();
+});
+
+bench( pkg+'::built-in', opts, function benchmark( b ) {
+ var x;
+ var y;
+ var i;
+
+ b.tic();
+ for ( i = 0; i < b.iterations; i++ ) {
+ x = ( randu()*10.0 ) - 5.0;
+ y = 1 / Math.cosh( x ); // eslint-disable-line stdlib/no-builtin-math
+ 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/lib/node_modules/@stdlib/math/base/special/sech/examples/index.js b/lib/node_modules/@stdlib/math/base/special/sech/examples/index.js
new file mode 100644
index 00000000000..bba2d764c08
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/sech/examples/index.js
@@ -0,0 +1,29 @@
+/**
+* @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 linspace = require( '@stdlib/array/base/linspace' );
+var sech = require( './../lib' );
+
+var x = linspace( -5.0, 5.0, 100 );
+
+var i;
+for ( i = 0; i < x.length; i++ ) {
+ console.log( 'sech(%d) = %d', x[ i ], sech( x[ i ] ) );
+}
diff --git a/lib/node_modules/@stdlib/math/base/special/sech/lib/index.js b/lib/node_modules/@stdlib/math/base/special/sech/lib/index.js
new file mode 100644
index 00000000000..714de91883f
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/sech/lib/index.js
@@ -0,0 +1,49 @@
+/**
+* @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';
+
+/**
+* Compute the hyperbolic secant of a number.
+*
+* @module @stdlib/math/base/special/sech
+*
+* @example
+* var sech = require( '@stdlib/math/base/special/sech' );
+*
+* var v = sech( 0.0 );
+* // returns 1.0
+*
+* v = sech( 2.0 );
+* // returns ~0.2658
+*
+* v = sech( -2.0 );
+* // returns ~0.2658
+*
+* v = sech( NaN );
+* // returns NaN
+*/
+
+// MODULES //
+
+var sech = require( '@stdlib/math/base/special/sech/lib/sech' );
+
+
+// EXPORTS //
+
+module.exports = sech;
diff --git a/lib/node_modules/@stdlib/math/base/special/sech/lib/sech.js b/lib/node_modules/@stdlib/math/base/special/sech/lib/sech.js
new file mode 100644
index 00000000000..9281252932a
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/sech/lib/sech.js
@@ -0,0 +1,77 @@
+/**
+* @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.
+*
+*
+* ## Notice
+*
+* The original C code, long comment, copyright, license, and constants are from [Cephes]{@link http://www.netlib.org/cephes}. The implementation follows the original, but has been modified for JavaScript.
+*
+* ```text
+* Copyright 1985, 1995, 2000 by Stephen L. Moshier
+*
+* Some software in this archive may be from the book _Methods and Programs for Mathematical Functions_ (Prentice-Hall or Simon & Schuster International, 1989) or from the Cephes Mathematical Library, a commercial product. In either event, it is copyrighted by the author. What you see here may be used freely but it comes with no support or guarantee.
+*
+* Stephen L. Moshier
+* moshier@na-net.ornl.gov
+* ```
+*/
+
+'use strict';
+
+// MODULES //
+
+var isnan = require( '@stdlib/math/base/assert/is-nan' );
+var exp = require( '@stdlib/math/base/special/exp' );
+var cosh = require("@stdlib/math/base/special/cosh/lib");
+
+
+// MAIN //
+
+/**
+* Computes the hyperbolic secant of a number.
+*
+* ## Method
+*
+* sech(x) = 1 / cosh(x)
+*
+* @param {number} x - input value (in radians)
+* @returns {number} hyperbolic secant
+*
+* @example
+* var v = sech( 0.0 );
+* // returns 1.0
+*
+* @example
+* var v = sech( 2.0 );
+* // returns ~0.2658
+*
+* @example
+* var v = sech( -2.0 );
+* // returns ~0.2658
+*
+* @example
+* var v = sech( NaN );
+* // returns NaN
+*/
+function sech( x ) {
+ return 1 / cosh(x);
+}
+
+
+// EXPORTS //
+
+module.exports = sech;
diff --git a/lib/node_modules/@stdlib/math/base/special/sech/package.json b/lib/node_modules/@stdlib/math/base/special/sech/package.json
new file mode 100644
index 00000000000..838021ab417
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/sech/package.json
@@ -0,0 +1,67 @@
+{
+ "name": "@stdlib/math/base/special/cosh",
+ "version": "0.0.0",
+ "description": "Compute the hyperbolic cosine of a 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",
+ "math.cosh",
+ "cosine",
+ "cos",
+ "hyperbolic",
+ "trig",
+ "trigonometry",
+ "radians",
+ "angle",
+ "polyfill",
+ "ponyfill"
+ ]
+}
diff --git a/lib/node_modules/@stdlib/math/base/special/sech/test/fixtures/julia/REQUIRE b/lib/node_modules/@stdlib/math/base/special/sech/test/fixtures/julia/REQUIRE
new file mode 100644
index 00000000000..308c3be89c8
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/sech/test/fixtures/julia/REQUIRE
@@ -0,0 +1,2 @@
+julia 1.5
+JSON 0.21
diff --git a/lib/node_modules/@stdlib/math/base/special/sech/test/fixtures/julia/data.json b/lib/node_modules/@stdlib/math/base/special/sech/test/fixtures/julia/data.json
new file mode 100644
index 00000000000..c08cffb26ea
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/sech/test/fixtures/julia/data.json
@@ -0,0 +1 @@
+{"expected":[1.3440585709080678e43,1.2162759870131366e43,1.100641972459074e43,9.960015362249354e42,9.013094948087966e42,8.156200325870043e42,7.380772546930164e42,6.679066380546126e42,6.044072951996769e42,5.469449735589009e42,4.949457203399863e42,4.478901496961774e42,4.053082549275605e42,3.66774713897719e42,3.319046407747075e42,3.003497416632373e42,2.7179483572935842e42,2.45954707069388e42,2.225712558785567e42,2.0141092046424003e42,1.8226234435405696e42,1.6493426519707942e42,1.4925360437181616e42,1.350637382193485e42,1.2222293363408658e42,1.106029323863504e42,1.0008767003648447e42,9.057211664460645e41,8.196122769661839e41,7.416899476796052e41,6.711758644284827e41,6.073657090818735e41,5.496221245718367e41,4.9736834875895595e41,4.500824535400923e41,4.072921316568229e41,3.6856997913335e41,3.33529226223343e41,3.018198742250134e41,2.7312519957756955e41,2.4715859032090517e41,2.236606833199504e41,2.023967736593588e41,1.831544703327135e41,1.6574157481045249e41,1.4998416129700284e41,1.3572483950204615e41,1.2282118257392666e41,1.1114430449284422e41,1.0057757271440295e41,9.101544320493994e40,8.236240623259014e40,7.453203238430328e40,6.7446109280094765e40,6.103386036176999e40,5.523123795310502e40,4.998028353034033e40,4.522854881315962e40,4.092857189380641e40,3.70374031717569e40,3.351617635881534e40,3.0329720269692164e40,2.7446207520501996e40,2.483683662625834e40,2.247554432205813e40,2.0338745234517415e40,1.8405096303212422e40,1.6655283599090027e40,1.5071829410514967e40,1.3638917670070474e40,1.234223597841297e40,1.1168832647264035e40,1.0106987333638131e40,9.146093973155288e39,8.276554843141008e39,7.489684697377736e39,6.77762401497559e39,6.133260496861352e39,5.550158025768774e39,5.0224923801572385e39,4.5449930599486114e39,4.112890643018682e39,3.721869146621291e39,3.36802291791656e39,3.0478176230104345e39,2.7580549448514695e39,2.495840637375863e39,2.2585556168143046e39,2.0438298014118137e39,1.849518438262351e39,1.6736806808029868e39,1.5145602029926033e39,1.370567656542733e39,1.2402647959780129e39,1.1223501129616951e39,1.0156458363972163e39,9.190861684585773e38,8.317066390468625e38,7.52634472341974e38,6.810798692272609e38,6.163281185130833e38,5.577324581636282e38,5.047076152223941e38,4.567239599111573e38,4.13302215511469e38,3.74008671189309e38,3.3845084994689796e38,3.062735884318502e38,2.7715548944740397e38,2.508057117302536e38,2.2696106493123317e38,2.0538338078249537e38,1.8585713419360408e38,1.681872905151993e38,1.5219735746800884e38,1.3772762227923416e38,1.24633556418209e38,1.127843719973444e38,1.020617154191784e38,9.235848522125457e37,8.357776231107647e37,7.563184190594837e37,6.844135750842277e37,6.193448816730893e37,5.604624110610911e37,5.071780255354043e37,4.589595029200858e37,4.1532522056389447e37,3.758393447329545e37,3.401074773583696e37,3.0777271665707286e37,2.785120922780083e37,2.5203333936679934e37,2.280719793271074e37,2.063886781204054e37,1.867668557179288e37,1.6901052282728344e37,1.5294232328616336e37,1.3840176256997475e37,1.2524360471911885e37,1.133364216738801e37,1.02561280527234e37,9.281055558338836e36,8.398685335651399e36,7.600203977220027e36,6.877635985498085e36,6.2237641109101e36,5.632057263560939e36,5.0966052785362823e36,4.6120598832088223e36,4.173581276910877e36,3.7767897893949243e36,3.4177221352295126e36,3.092791827185326e36,2.7987533532073217e36,2.532669759159919e36,2.2918833135518556e36,2.0739889612294938e36,1.8768103008855082e36,1.6983778464384192e36,1.5369093551499888e36,1.3907920259917264e36,1.2585663904514217e36,1.1389117348759993e36,1.030632908743899e36,9.326483871039919e35,8.43979467944412e35,7.637404965911337e35,6.911300194943821e35,6.254227790437822e35,5.65962469454023e35,5.12155181364241e35,4.63463469673661e35,4.1940098536109216e35,3.795276176690036e35,3.434450981308354e35,3.1079302253300187e35,2.8124525107765785e35,2.545066507898733e35,2.303101476312328e35,2.0841405887547354e35,1.8859967910097795e35,1.706690956882336e35,1.5444321200273356e35,1.397599585181711e35,1.2647267401208405e35,1.144486406647525e35,1.0356775842944487e35,9.372134543318737e34,8.481105242603744e34,7.674788043605072e34,6.9451291817928225e34,6.284840581621098e34,5.687327060804307e34,5.146620455441015e34,4.657320008007061e34,4.214538422791836e34,3.8138530499624667e34,3.451261710665021e34,3.1231427219304283e34,2.8262187220996093e34,2.557523935444461e34,2.3143745490130123e34,2.094341905812245e34,1.8952282465739317e34,1.715044757803604e34,1.5519917068494575e34,1.4044404655737583e34,1.2709172430728469e34,1.150088364963205e34,1.040746952197833e34,9.41800866356662e33,8.522618010045982e33,7.71235410157853e33,6.979123752586706e33,6.315603214322145e33,5.715165022825709e33,5.171811801612142e33,4.6801163578772716e33,4.2351674738904317e33,3.832520852117203e33,3.468154724096505e33,3.1384296796789463e33,2.840052315386727e33,2.5700423388038534e33,2.3257028004235462e33,2.104593155619142e33,1.9045048876719297e33,1.723439448371301e33,1.5595882958500597e33,1.4113148302663407e33,1.2771380468998037e33,1.1557177433834737e33,1.0458411333165598e33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\ No newline at end of file
diff --git a/lib/node_modules/@stdlib/math/base/special/sech/test/fixtures/julia/large.json b/lib/node_modules/@stdlib/math/base/special/sech/test/fixtures/julia/large.json
new file mode 100644
index 00000000000..684817f7fd7
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/sech/test/fixtures/julia/large.json
@@ -0,0 +1 @@
+{"expected":[1.3440585709080678e43,1.8219176949296494e43,2.469672199519686e43,3.347725745270745e43,4.537957574988376e43,6.151357822989538e43,8.338377439888467e43,1.130295787219387e44,1.5321548776316851e44,2.0768887185057587e44,2.8152942055857936e44,3.816228280977572e44,5.173028901788584e44,7.01221888431807e44,9.50530426469992e44,1.2884767383200457e45,1.7465746060936337e45,2.3675420470752883e45,3.2092848053059515e45,4.350296111653381e45,5.896976244606729e45,7.993554447088012e45,1.0835538426494194e46,1.4687945615333038e46,1.9910016273070862e46,2.698871294703883e46,3.658413014573174e46,4.959104871529954e46,6.72223749173976e46,9.112224497363724e46,1.235193421719859e47,1.6743472348617387e47,2.269635357178035e47,3.0765689143196367e47,4.170395149433499e47,5.653114292830453e47,7.662991170547722e47,1.0387448517424544e48,1.4080544307143133e48,1.9086662875184842e48,2.5872629052142033e48,3.507123997773507e48,4.754027397436248e48,6.444247910801803e48,8.735400043817208e48,1.1841135689025256e49,1.6051067346955457e49,2.1757774739064034e49,2.949341320193515e49,3.997933762676237e49,5.419336941883037e49,7.346097917839907e49,9.957888796584171e49,1.3498261307452798e50,1.8297358209781908e50,2.4802699387085055e50,3.3620913458274074e50,4.557430641429812e50,6.177754235387032e50,8.374158686234988e50,1.1351460584260441e51,1.5387295873414093e51,2.085800964012381e51,2.8273750613918778e51,3.832604297201424e51,5.195227155924514e51,7.042309382516827e51,9.546092971609116e51,1.294005788056376e52,1.754069423483916e52,2.3777015302400705e52,3.223056334724264e52,4.3689638942014284e52,5.922281066945244e52,8.02785600550469e52,1.0882035370597599e53,1.4750973824858842e53,1.9995453182369268e53,2.71045256208468e53,3.6741118214760086e53,4.980385145101837e53,6.75108363565984e53,9.151326439180997e53,1.240493824637186e54,1.681532113612059e54,2.2793747078391686e54,3.08977093965597e54,4.188290949579206e54,5.6773726664283154e54,7.695874231646988e54,1.0432022639547458e55,1.4140966065234445e55,1.9168566649773288e55,2.598365244013539e55,3.5221736004854e55,4.7744276523625216e55,6.471901159131704e55,8.772884974567406e55,1.1891947803991818e56,1.6119944919241712e56,2.1851140661091783e56,2.9619973925646977e56,4.015089504770026e56,5.442592141296858e56,7.3776211417738115e56,1.00006196125841e57,1.3556184400593342e57,1.837587495795172e57,2.4909131544087517e57,3.3765185913619014e57,4.5769872697622695e57,6.204263918806641e57,8.410093475353989e57,1.1400171428844413e58,1.5453325101309156e58,2.0947514533205426e58,2.839507757988386e58,3.8490505854026374e58,5.217520666146734e58,7.072529003621766e58,9.587056709065993e58,1.2995585637864515e59,1.7615964022759925e59,2.387904609292961e59,3.2368869598708524e59,4.387711783044783e59,5.947694476126748e59,8.062304757127792e59,1.0928731840162885e60,1.4814272498021977e60,2.0081256714445392e60,2.7220835264459533e60,3.689877994347965e60,5.001756735565513e60,6.78005356277275e60,9.190596173380284e60,1.2458169723899133e61,1.6887478237703587e61,2.2891558515359108e61,3.103029616891773e61,4.20626354332639e61,5.701735136398396e61,7.728898398964744e61,1.0476788036010864e62,1.4201647102283389e62,1.9250821885920541e62,2.6095152246380103e62,3.5372877833324485e62,4.794915447886816e62,6.4996730717579485e62,8.81053075885909e62,1.1942977961475345e63,1.6189118055670933e63,2.1944907230497337e63,2.9747077740681917e63,4.032318864763524e63,5.465947132309833e63,7.409279636658236e63,1.0043533793017328e64,1.3614356050540022e64,1.8454728633435152e64,2.5016020417670195e64,3.3910077464021105e64,4.596627818562666e64,6.230887359311466e64,8.446182466120631e64,1.1449091299074407e65,1.5519637670668e65,2.1037403505401556e65,2.8516925178321187e65,3.865567447128958e65,5.239909841213235e65,7.10287830171913e65,9.628196228153264e65,1.3051351673220295e66,1.7691556804793818e66,2.3981514713105486e66,3.2507769343342488e66,4.406540121931869e66,5.973216938113906e66,8.096901333585883e66,1.0975628691384477e67,1.4877842795423063e67,2.0167428442533647e67,2.733764401045085e67,3.705711822266665e67,5.023220034775801e67,6.809147804250913e67,9.230034419984232e67,1.2511629625796253e68,1.6959944976388767e68,2.2989789676085366e68,3.1163451891290553e68,4.224313260208019e68,5.7262021494340655e68,7.762064278009467e68,1.0521745527601914e69,1.4262588530895016e69,1.933343009180218e69,2.620713051525902e69,3.5524668234377384e69,4.81549115965909e69,6.527564157886994e69,8.848338086939032e69,1.1994227097129287e70,1.6258588024553825e70,2.203907616651893e70,2.987472697752705e70,4.0496221585623427e70,5.48940234314274e70,7.441073982961307e70,1.0086632124728535e71,1.3672777323887527e71,1.8533920682038313e71,2.512336796767343e71,3.405559076611336e71,4.616352647946434e71,6.257625045050471e71,8.482426320238126e71,1.1498221091911115e72,1.5586234797351957e72,2.1127678204855315e72,2.8639295643343513e72,3.882155185222122e72,5.26239509163679e72,7.133357833272521e72,9.669512283176649e72,1.3107357009119412e73,1.7767473966957477e73,2.4084423041721975e73,3.2647265127916324e73,4.425449256086005e73,5.998848920868902e73,8.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\ No newline at end of file
diff --git a/lib/node_modules/@stdlib/math/base/special/sech/test/fixtures/julia/runner.jl b/lib/node_modules/@stdlib/math/base/special/sech/test/fixtures/julia/runner.jl
new file mode 100644
index 00000000000..04525e88e09
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/sech/test/fixtures/julia/runner.jl
@@ -0,0 +1,73 @@
+#!/usr/bin/env julia
+#
+# @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.
+
+import JSON
+
+"""
+ gen( domain, name )
+
+Generate fixture data and write to file.
+
+# Arguments
+
+* `domain`: domain
+* `name::AbstractString`: output filename
+
+# Examples
+
+``` julia
+julia> x = range( -1000, stop = 1000, length = 2001 );
+julia> gen( x, \"data.json\" );
+```
+"""
+function gen( domain, name )
+ x = collect( domain );
+ y = 1 / cosh.( 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 decimal values:
+x = range( -100, stop = 100, length = 2003 );
+gen( x, "data.json" );
+
+# Generate fixture data for large values:
+x = range( 100, stop = 709, length = 2003 );
+gen( x, "large.json" );
+
+# Generate fixture data for tiny values:
+x = range( -1e-300, stop = -1e-308, length = 2003 );
+gen( x, "tiny.json" );
diff --git a/lib/node_modules/@stdlib/math/base/special/sech/test/fixtures/julia/tiny.json b/lib/node_modules/@stdlib/math/base/special/sech/test/fixtures/julia/tiny.json
new file mode 100644
index 00000000000..c73ae9c2490
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/sech/test/fixtures/julia/tiny.json
@@ -0,0 +1 @@
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\ No newline at end of file
diff --git a/lib/node_modules/@stdlib/math/base/special/sech/test/test.js b/lib/node_modules/@stdlib/math/base/special/sech/test/test.js
new file mode 100644
index 00000000000..af54d2595dc
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/sech/test/test.js
@@ -0,0 +1,141 @@
+/**
+* @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 tape = require( 'tape' );
+var isnan = require( '@stdlib/math/base/assert/is-nan' );
+var PINF = require( '@stdlib/constants/float64/pinf' );
+var NINF = require( '@stdlib/constants/float64/ninf' );
+var EPS = require( '@stdlib/constants/float64/eps' );
+var abs = require( '@stdlib/math/base/special/abs' );
+var sech = require( './../lib' );
+
+
+// FIXTURES //
+
+var data = require( './fixtures/julia/data.json' );
+var tiny = require( './fixtures/julia/tiny.json' );
+var large = require( './fixtures/julia/large.json' );
+
+
+// TESTS //
+
+tape( 'main export is a function', function test( t ) {
+ t.ok( true, __filename );
+ t.equal( typeof sech, 'function', 'main export is a function' );
+ t.end();
+});
+
+tape( 'the function computes the hyperbolic cosine', function test( t ) {
+ var expected;
+ var delta;
+ var tol;
+ var x;
+ var y;
+ var i;
+
+ x = data.x;
+ expected = data.expected;
+
+ for ( i = 0; i < x.length; i++ ) {
+ y = sech( 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]+'. Value: '+y+'. E: '+expected[i]+'. tol: '+tol+'. Δ: '+delta+'.' );
+ }
+ }
+ t.end();
+});
+
+tape( 'the function computes the hyperbolic cosine (tiny values)', function test( t ) {
+ var expected;
+ var delta;
+ var tol;
+ var x;
+ var y;
+ var i;
+
+ x = tiny.x;
+ expected = tiny.expected;
+
+ for ( i = 0; i < x.length; i++ ) {
+ y = sech( 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]+'. Value: '+y+'. E: '+expected[i]+'. tol: '+tol+'. Δ: '+delta+'.' );
+ }
+ }
+ t.end();
+});
+
+tape( 'the function computes the hyperbolic cosine (large values)', function test( t ) {
+ var expected;
+ var delta;
+ var tol;
+ var x;
+ var y;
+ var i;
+
+ x = large.x;
+ expected = large.expected;
+
+ for ( i = 0; i < x.length; i++ ) {
+ y = sech( 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]+'. Value: '+y+'. E: '+expected[i]+'. tol: '+tol+'. Δ: '+delta+'.' );
+ }
+ }
+ t.end();
+});
+
+tape( 'the function returns `1` if provided `0`', function test( t ) {
+ var v = sech( 0 );
+ t.equal( v, 1, 'returns 1' );
+ t.end();
+});
+
+tape( 'the function returns `NaN` if provided `NaN`', function test( t ) {
+ var v = sech( NaN );
+ t.equal( isnan( v ), true, 'returns NaN' );
+ t.end();
+});
+
+tape( 'the function returns `+infinity` if provided a `+infinity`', function test( t ) {
+ var v = sech( PINF );
+ t.equal( v, 0, 'returns 0' );
+ t.end();
+});
+
+tape( 'the function returns `+infinity` if provided a `-infinity`', function test( t ) {
+ var v = sech( NINF );
+ t.equal( v, 0, 'returns 0' );
+ t.end();
+});