diff --git a/lib/node_modules/@stdlib/math/base/special/acot/README.md b/lib/node_modules/@stdlib/math/base/special/acot/README.md
new file mode 100644
index 000000000000..c7c602c8742d
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/acot/README.md
@@ -0,0 +1,87 @@
+
+
+# acot
+
+> Compute the [inverse cotangent][arccotangent] of a number.
+
+
+
+## Usage
+
+```javascript
+var acot = require( '@stdlib/math/base/special/acot' );
+```
+
+#### acot( x )
+
+Computes the [inverse cotangent][arccotangent] of a `number` (in radians).
+
+```javascript
+var v = acot( 2.0 );
+// returns ~0.4636
+
+v = acot( Infinity );
+// returns 0
+```
+
+The domain of the inverse cotangent is `R` and range is `(-π/2,π/2]`.
+
+```javascript
+var v = acot( 100.00 );
+// returns ~0.0099
+
+v = acot( -200.00 );
+// returns ~-0.0049
+```
+
+
+
+
+
+
+
+## Examples
+
+
+
+```javascript
+var linspace = require( '@stdlib/math/utils/linspace' );
+var acot = require( '@stdlib/math/base/special/acot' );
+
+var x = linspace( 1.0, 5.0, 100 );
+var i;
+
+for ( i = 0; i < x.length; i++ ) {
+ console.log( acot( x[ i ] ) );
+}
+```
+
+
+
+
+
+
+
+[arccotangent]: https://en.wikipedia.org/wiki/Inverse_trigonometric_functions
+
+
+
+
diff --git a/lib/node_modules/@stdlib/math/base/special/acot/benchmark/benchmark.js b/lib/node_modules/@stdlib/math/base/special/acot/benchmark/benchmark.js
new file mode 100644
index 000000000000..67475a2da67b
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/acot/benchmark/benchmark.js
@@ -0,0 +1,51 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2020 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 acot = 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()*100.0 ) + 1.1;
+ y = acot( 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/lib/node_modules/@stdlib/math/base/special/acot/benchmark/c/Makefile b/lib/node_modules/@stdlib/math/base/special/acot/benchmark/c/Makefile
new file mode 100644
index 000000000000..9e90af0034a1
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/acot/benchmark/c/Makefile
@@ -0,0 +1,107 @@
+#/
+# @license Apache-2.0
+#
+# Copyright (c) 2020 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.
+#/
+
+
+# VARIABLES #
+
+ifndef VERBOSE
+ QUIET := @
+endif
+
+# Determine the OS:
+#
+# [1]: https://en.wikipedia.org/wiki/Uname#Examples
+# [2]: http://stackoverflow.com/a/27776822/2225624
+OS ?= $(shell uname)
+ifneq (, $(findstring MINGW,$(OS)))
+ OS := WINNT
+else
+ifneq (, $(findstring MSYS,$(OS)))
+ OS := WINNT
+else
+ifneq (, $(findstring CYGWIN,$(OS)))
+ OS := WINNT
+endif
+endif
+endif
+
+# Define the program used for compiling C source files:
+ifdef C_COMPILER
+ CC := $(C_COMPILER)
+else
+ CC := gcc
+endif
+
+# Define the command-line options when compiling C files:
+CFLAGS ?= \
+ -std=c99 \
+ -O3 \
+ -Wall \
+ -pedantic
+
+# Determine whether to generate [position independent code][1]:
+#
+# [1]: https://gcc.gnu.org/onlinedocs/gcc/Code-Gen-Options.html#Code-Gen-Options
+# [2]: http://stackoverflow.com/questions/5311515/gcc-fpic-option
+ifeq ($(OS), WINNT)
+ fPIC ?=
+else
+ fPIC ?= -fPIC
+endif
+
+# List of C targets:
+c_targets := benchmark.out
+
+
+# TARGETS #
+
+# Default target.
+#
+# This target is the default target.
+
+all: $(c_targets)
+
+.PHONY: all
+
+
+# Compile C source.
+#
+# This target compiles C source files.
+
+$(c_targets): %.out: %.c
+ $(QUIET) $(CC) $(CFLAGS) $(fPIC) -o $@ $< -lm
+
+
+# Run a benchmark.
+#
+# This target runs a benchmark.
+
+run: $(c_targets)
+ $(QUIET) ./$<
+
+.PHONY: run
+
+
+# Perform clean-up.
+#
+# This target removes generated files.
+
+clean:
+ $(QUIET) -rm -f *.o *.out
+
+.PHONY: clean
diff --git a/lib/node_modules/@stdlib/math/base/special/acot/benchmark/c/benchmark.c b/lib/node_modules/@stdlib/math/base/special/acot/benchmark/c/benchmark.c
new file mode 100644
index 000000000000..c72c4c91dce1
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/acot/benchmark/c/benchmark.c
@@ -0,0 +1,135 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2020 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.
+*/
+
+/**
+* Benchmark `acot`.
+*/
+#include
+#include
+#include
+#include
+#include
+
+#define NAME "acot"
+#define ITERATIONS 1000000
+#define REPEATS 3
+
+/**
+* Prints the TAP version.
+*/
+void print_version() {
+ printf( "TAP version 13\n" );
+}
+
+/**
+* Prints the TAP summary.
+*
+* @param total total number of tests
+* @param passing total number of passing tests
+*/
+void print_summary( int total, int passing ) {
+ printf( "#\n" );
+ printf( "1..%d\n", total ); // TAP plan
+ printf( "# total %d\n", total );
+ printf( "# pass %d\n", passing );
+ printf( "#\n" );
+ printf( "# ok\n" );
+}
+
+/**
+* Prints benchmarks results.
+*
+* @param elapsed elapsed time in seconds
+*/
+void print_results( double elapsed ) {
+ double rate = (double)ITERATIONS / elapsed;
+ printf( " ---\n" );
+ printf( " iterations: %d\n", ITERATIONS );
+ printf( " elapsed: %0.9f\n", elapsed );
+ printf( " rate: %0.9f\n", rate );
+ printf( " ...\n" );
+}
+
+/**
+* Returns a clock time.
+*
+* @return clock time
+*/
+double tic() {
+ struct timeval now;
+ gettimeofday( &now, NULL );
+ return (double)now.tv_sec + (double)now.tv_usec/1.0e6;
+}
+
+/**
+* Generates a random double on the interval [0,1].
+*
+* @return random double
+*/
+double rand_double() {
+ int r = rand();
+ return (double)r / ( (double)RAND_MAX + 1.0 );
+}
+
+/**
+* Runs a benchmark.
+*
+* @return elapsed time in seconds
+*/
+double benchmark() {
+ double elapsed;
+ double x;
+ double y;
+ double t;
+ int i;
+
+ t = tic();
+ for ( i = 0; i < ITERATIONS; i++ ) {
+ x = ( 100.0*rand_double() ) + 1.1;
+ y = atan( 1.0/x );
+ if ( y != y ) {
+ printf( "should not return NaN\n" );
+ break;
+ }
+ }
+ elapsed = tic() - t;
+ if ( y != y ) {
+ printf( "should not return NaN\n" );
+ }
+ return elapsed;
+}
+
+/**
+* Main execution sequence.
+*/
+int main( void ) {
+ double elapsed;
+ int i;
+
+ // Use the current time to seed the random number generator:
+ srand( time( NULL ) );
+
+ print_version();
+ for ( i = 0; i < REPEATS; i++ ) {
+ printf( "# c::%s\n", NAME );
+ elapsed = benchmark();
+ print_results( elapsed );
+ printf( "ok %d benchmark finished\n", i+1 );
+ }
+ print_summary( REPEATS, REPEATS );
+}
diff --git a/lib/node_modules/@stdlib/math/base/special/acot/benchmark/julia/REQUIRE b/lib/node_modules/@stdlib/math/base/special/acot/benchmark/julia/REQUIRE
new file mode 100644
index 000000000000..5e9ea1707d69
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/acot/benchmark/julia/REQUIRE
@@ -0,0 +1,2 @@
+julia 1.4.2
+BenchmarkTools 0.5.0
diff --git a/lib/node_modules/@stdlib/math/base/special/acot/benchmark/julia/benchmark.jl b/lib/node_modules/@stdlib/math/base/special/acot/benchmark/julia/benchmark.jl
new file mode 100755
index 000000000000..7862ac4b0a07
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/acot/benchmark/julia/benchmark.jl
@@ -0,0 +1,143 @@
+#!/usr/bin/env julia
+#
+# @license Apache-2.0
+#
+# Copyright (c) 2020 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 BenchmarkTools
+
+# Benchmark variables:
+name = "acot";
+repeats = 3;
+
+"""
+ print_version()
+
+Prints the TAP version.
+
+# Examples
+
+``` julia
+julia> print_version()
+```
+"""
+function print_version()
+ print( "TAP version 13\n" );
+end
+
+"""
+ print_summary( total, passing )
+
+Print the benchmark summary.
+
+# Arguments
+
+* `total`: total number of tests
+* `passing`: number of passing tests
+
+# Examples
+
+``` julia
+julia> print_summary( 3, 3 )
+```
+"""
+function print_summary( total, passing )
+ print( "#\n" );
+ print( "1..%d\n", total ); # TAP plan
+ print( "# total %d\n", total );
+ print( "# pass %d\n", passing );
+ print( "#\n" );
+ print( "# ok\n" );
+end
+
+"""
+ print_results( iterations, elapsed )
+
+Print benchmark results.
+
+# Arguments
+
+* `iterations`: number of iterations
+* `elapsed`: elapsed time (in seconds)
+
+# Examples
+
+``` julia
+julia> print_results( 1000000, 0.131009101868 )
+```
+"""
+function print_results( iterations, elapsed )
+ rate = iterations / elapsed
+
+ print( " ---\n" );
+ print( " iterations: %d\n", iterations );
+ print( " elapsed: %0.9f\n", elapsed );
+ print( " rate: %0.9f\n", rate );
+ print( " ...\n" );
+end
+
+"""
+ benchmark()
+
+Run a benchmark.
+
+# Notes
+
+* Benchmark results are returned as a two-element array: [ iterations, elapsed ].
+* The number of iterations is not the true number of iterations. Instead, an 'iteration' is defined as a 'sample', which is a computed estimate for a single evaluation.
+* The elapsed time is in seconds.
+
+# Examples
+
+``` julia
+julia> out = benchmark();
+```
+"""
+function benchmark()
+ t = BenchmarkTools.@benchmark acot( (100.0*rand()) + 1.1 ) samples=1e6
+
+ # Compute the total "elapsed" time and convert from nanoseconds to seconds:
+ s = sum( t.times ) / 1.0e9;
+
+ # Determine the number of "iterations":
+ iter = length( t.times );
+
+ # Return the results:
+ [ iter, s ];
+end
+
+"""
+ main()
+
+Run benchmarks.
+
+# Examples
+
+``` julia
+julia> main();
+```
+"""
+function main()
+ print_version();
+ for i in 1:repeats
+ print( "# julia::%s\n", name );
+ results = benchmark();
+ print_results( results[ 1 ], results[ 2 ] );
+ print( "ok %d benchmark finished\n", i );
+ end
+ print_summary( repeats, repeats );
+end
+
+main();
diff --git a/lib/node_modules/@stdlib/math/base/special/acot/benchmark/python/benchmark.py b/lib/node_modules/@stdlib/math/base/special/acot/benchmark/python/benchmark.py
new file mode 100755
index 000000000000..864f1468de5d
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/acot/benchmark/python/benchmark.py
@@ -0,0 +1,97 @@
+#!/usr/bin/env python
+#
+# @license Apache-2.0
+#
+# Copyright (c) 2020 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.
+
+"""Benchmark acot."""
+
+from __future__ import print_function
+import timeit
+
+NAME = "acot"
+REPEATS = 3
+ITERATIONS = 1000000
+
+
+def print_version():
+ """Print the TAP version."""
+ print("TAP version 13")
+
+
+def print_summary(total, passing):
+ """Print the benchmark summary.
+
+ # Arguments
+
+ * `total`: total number of tests
+ * `passing`: number of passing tests
+
+ """
+ print("#")
+ print("1.." + str(total)) # TAP plan
+ print("# total " + str(total))
+ print("# pass " + str(passing))
+ print("#")
+ print("# ok")
+
+
+def print_results(elapsed):
+ """Print benchmark results.
+
+ # Arguments
+
+ * `elapsed`: elapsed time (in seconds)
+
+ # Examples
+
+ ``` python
+ python> print_results(0.131009101868)
+ ```
+ """
+ rate = ITERATIONS / elapsed
+
+ print(" ---")
+ print(" iterations: " + str(ITERATIONS))
+ print(" elapsed: " + str(elapsed))
+ print(" rate: " + str(rate))
+ print(" ...")
+
+
+def benchmark():
+ """Run the benchmark and print benchmark results."""
+ setup = "from math import atan; from random import random;"
+ stmt = "y = atan(1.0 / ((100.0*random()) + 1.1))"
+
+ t = timeit.Timer(stmt, setup=setup)
+
+ print_version()
+
+ for i in xrange(REPEATS):
+ print("# python::" + NAME)
+ elapsed = t.timeit(number=ITERATIONS)
+ print_results(elapsed)
+ print("ok " + str(i+1) + " benchmark finished")
+
+ print_summary(REPEATS, REPEATS)
+
+
+def main():
+ """Run the benchmark."""
+ benchmark()
+
+
+if __name__ == "__main__":
+ main()
diff --git a/lib/node_modules/@stdlib/math/base/special/acot/benchmark/r/DESCRIPTION b/lib/node_modules/@stdlib/math/base/special/acot/benchmark/r/DESCRIPTION
new file mode 100644
index 000000000000..ec712c61b12d
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/acot/benchmark/r/DESCRIPTION
@@ -0,0 +1,9 @@
+Package: acot-benchmarks
+Title: Benchmarks
+Version: 0.0.0
+Authors@R: person("stdlib", "js", role = c("aut","cre"))
+Description: Benchmarks.
+Depends: R (>=3.4.0)
+Imports:
+ microbenchmark
+LazyData: true
diff --git a/lib/node_modules/@stdlib/math/base/special/acot/benchmark/r/benchmark.R b/lib/node_modules/@stdlib/math/base/special/acot/benchmark/r/benchmark.R
new file mode 100755
index 000000000000..f8e2591f101f
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/acot/benchmark/r/benchmark.R
@@ -0,0 +1,109 @@
+#!/usr/bin/env Rscript
+#
+# @license Apache-2.0
+#
+# Copyright (c) 2020 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.
+
+# Set the precision to 16 digits:
+options( digits = 16 );
+
+#' Run benchmarks.
+#'
+#' @examples
+#' main();
+main <- function() {
+ # Define benchmark parameters:
+ name <- "acot";
+ iterations <- 1000000L;
+ repeats <- 3;
+
+ #' Print the TAP version.
+ #'
+ #' @examples
+ #' print_version();
+ print_version <- function() {
+ cat( "TAP version 13\n" );
+ }
+
+ #' Print the TAP summary.
+ #'
+ #' @param total Total number of tests.
+ #' @param passing Total number of passing tests.
+ #'
+ #' @examples
+ #' print_summary( 3, 3 );
+ print_summary <- function( total, passing ) {
+ cat( "#\n" );
+ cat( paste0( "1..", total, "\n" ) ); # TAP plan
+ cat( paste0( "# total ", total, "\n" ) );
+ cat( paste0( "# pass ", passing, "\n" ) );
+ cat( "#\n" );
+ cat( "# ok\n" );
+ }
+
+ #' Print benchmark results.
+ #'
+ #' @param iterations Number of iterations.
+ #' @param elapsed Elapsed time in seconds.
+ #'
+ #' @examples
+ #' print_results( 10000L, 0.131009101868 );
+ print_results <- function( iterations, elapsed ) {
+ rate <- iterations / elapsed;
+ cat( " ---\n" );
+ cat( paste0( " iterations: ", iterations, "\n" ) );
+ cat( paste0( " elapsed: ", elapsed, "\n" ) );
+ cat( paste0( " rate: ", rate, "\n" ) );
+ cat( " ...\n" );
+ }
+
+ #' Run a benchmark.
+ #'
+ #' ## Notes
+ #'
+ #' * We compute and return a total "elapsed" time, rather than the minimum
+ #' evaluation time, to match benchmark results in other languages (e.g.,
+ #' Python).
+ #'
+ #'
+ #' @param iterations Number of Iterations.
+ #' @return Elapsed time in seconds.
+ #'
+ #' @examples
+ #' elapsed <- benchmark( 10000L );
+ benchmark <- function( iterations ) {
+ # Run the benchmarks:
+ results <- microbenchmark::microbenchmark( atan( 1.0 / ( (100.0*runif(1)) + 1.1 ) ), times = iterations );
+
+ # Sum all the raw timing results to get a total "elapsed" time:
+ elapsed <- sum( results$time );
+
+ # Convert the elapsed time from nanoseconds to seconds:
+ elapsed <- elapsed / 1.0e9;
+
+ return( elapsed );
+ }
+
+ print_version();
+ for ( i in 1:repeats ) {
+ cat( paste0( "# r::", name, "\n" ) );
+ elapsed <- benchmark( iterations );
+ print_results( iterations, elapsed );
+ cat( paste0( "ok ", i, " benchmark finished", "\n" ) );
+ }
+ print_summary( repeats, repeats );
+}
+
+main();
diff --git a/lib/node_modules/@stdlib/math/base/special/acot/docs/repl.txt b/lib/node_modules/@stdlib/math/base/special/acot/docs/repl.txt
new file mode 100644
index 000000000000..f902a1247945
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/acot/docs/repl.txt
@@ -0,0 +1,32 @@
+
+{{alias}}( x )
+ Computes the inverse cotangent of a number.
+
+ The domain of the inverse cotangent is R and range is (-π/2,π/2]
+
+ Parameters
+ ----------
+ x: number
+ Input value.
+
+ Returns
+ -------
+ y: number
+ Inverse cotangent (in radians).
+
+ Examples
+ --------
+ > var y = {{alias}}( 2.0 )
+ ~0.4636
+ > y = {{alias}}( 0.0 )
+ ~1.5708
+ > y = {{alias}}( 0.5 )
+ ~1.1071
+ > y = {{alias}}( 1.0 )
+ ~0.7854
+ > y = {{alias}}( NaN )
+ NaN
+
+ See Also
+ --------
+
diff --git a/lib/node_modules/@stdlib/math/base/special/acot/docs/types/index.d.ts b/lib/node_modules/@stdlib/math/base/special/acot/docs/types/index.d.ts
new file mode 100644
index 000000000000..8078d74e69a5
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/acot/docs/types/index.d.ts
@@ -0,0 +1,56 @@
+/*
+* @license Apache-2.0
+*
+* Copyright (c) 2020 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+* http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+// TypeScript Version: 2.0
+
+/**
+* Computes the inverse cotangent of a number.
+*
+* @param {number} x - input value
+* @returns {number} inverse cotangent (in radians)
+*
+* @example
+* var v = acot( 2.0 );
+* // returns ~0.4636
+*
+* @example
+* var v = acot( 0.0 );
+* // returns ~1.5708
+*
+* @example
+* var v = acot( 0.5 );
+* // returns ~1.1071
+*
+* @example
+* var v = acot( 1.0 );
+* // returns ~0.7854
+*
+* @example
+* var v = acot( NaN );
+* // returns NaN
+*
+* @example
+* var v = acot(Infinity)
+* // returns 0
+*/
+declare function acot( x: number ): number;
+
+
+// EXPORTS //
+
+export = acot;
diff --git a/lib/node_modules/@stdlib/math/base/special/acot/docs/types/test.ts b/lib/node_modules/@stdlib/math/base/special/acot/docs/types/test.ts
new file mode 100644
index 000000000000..100f726334cb
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/acot/docs/types/test.ts
@@ -0,0 +1,44 @@
+/*
+* @license Apache-2.0
+*
+* Copyright (c) 2020 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 acot = require( './index' );
+
+
+// TESTS //
+
+// The function returns a number...
+{
+ acot( 8 ); // $ExpectType number
+}
+
+// The function does not compile if provided a value other than a number...
+{
+ acot( true ); // $ExpectError
+ acot( false ); // $ExpectError
+ acot( null ); // $ExpectError
+ acot( undefined ); // $ExpectError
+ acot( '5' ); // $ExpectError
+ acot( [] ); // $ExpectError
+ acot( {} ); // $ExpectError
+ acot( ( x: number ): number => x ); // $ExpectError
+}
+
+// The function does not compile if provided insufficient arguments...
+{
+ acot(); // $ExpectError
+}
diff --git a/lib/node_modules/@stdlib/math/base/special/acot/examples/index.js b/lib/node_modules/@stdlib/math/base/special/acot/examples/index.js
new file mode 100644
index 000000000000..487f6202ffa7
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/acot/examples/index.js
@@ -0,0 +1,29 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2020 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/math/utils/linspace' );
+var acot = require( './../lib' );
+
+var x = linspace( 1.0, 5.0, 100 );
+var i;
+
+for ( i = 0; i < x.length; i++ ) {
+ console.log( 'acot(%d) = %d', x[ i ], acot( x[ i ] ) );
+}
diff --git a/lib/node_modules/@stdlib/math/base/special/acot/lib/index.js b/lib/node_modules/@stdlib/math/base/special/acot/lib/index.js
new file mode 100644
index 000000000000..e89d10d31924
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/acot/lib/index.js
@@ -0,0 +1,59 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2020 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';
+
+/**
+* Computes the inverse cotangent of a number.
+*
+* @param {number} x - input value
+* @returns {number} inverse cotangent (in radians)
+*
+* @example
+* var v = acot( 2.0 );
+* // returns ~0.4636
+*
+* @example
+* var v = acot( 0.0 );
+* // returns ~1.5708
+*
+* @example
+* var v = acot( 0.5 );
+* // returns ~1.1071
+*
+* @example
+* var v = acot( 1.0 );
+* // returns ~0.7854
+*
+* @example
+* var v = acot( NaN );
+* // returns NaN
+*
+* @example
+* var v = acot(Infinity)
+* // returns 0
+*/
+
+// MODULES //
+
+var acot = require( './main.js' );
+
+
+// EXPORTS //
+
+module.exports = acot;
diff --git a/lib/node_modules/@stdlib/math/base/special/acot/lib/main.js b/lib/node_modules/@stdlib/math/base/special/acot/lib/main.js
new file mode 100644
index 000000000000..aa20a694b645
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/acot/lib/main.js
@@ -0,0 +1,64 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2020 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 atan = require( '@stdlib/math/base/special/atan' );
+
+
+// MAIN //
+
+/**
+* Computes the inverse cotangent of a number.
+*
+* @param {number} x - input value
+* @returns {number} inverse cotangent (in radians)
+*
+* @example
+* var v = acot( 2.0 );
+* // returns ~0.4636
+*
+* @example
+* var v = acot( 0.0 );
+* // returns ~1.5708
+*
+* @example
+* var v = acot( 0.5 );
+* // returns ~1.1071
+*
+* @example
+* var v = acot( 1.0 );
+* // returns ~0.7854
+*
+* @example
+* var v = acot( NaN );
+* // returns NaN
+*
+* @example
+* var v = acot(Infinity)
+* // returns 0
+*/
+function acot( x ) {
+ return atan( 1.0/ x );
+}
+
+// EXPORTS //
+
+module.exports = acot;
\ No newline at end of file
diff --git a/lib/node_modules/@stdlib/math/base/special/acot/package.json b/lib/node_modules/@stdlib/math/base/special/acot/package.json
new file mode 100644
index 000000000000..283ad953aa89
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/acot/package.json
@@ -0,0 +1,74 @@
+{
+ "name": "@stdlib/math/base/special/acot",
+ "version": "0.0.0",
+ "description": "Compute the inverse cotangent.",
+ "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": {
+ "test": "node ./test/test.js"
+ },
+ "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",
+ "acoth",
+ "hyperbolic",
+ "inverse",
+ "tangent",
+ "cotangent",
+ "acot",
+ "cot",
+ "coth",
+ "arc",
+ "arccotangent",
+ "trig",
+ "trigonometry",
+ "radians",
+ "angle"
+ ]
+}
diff --git a/lib/node_modules/@stdlib/math/base/special/acot/test/fixtures/julia/REQUIRE b/lib/node_modules/@stdlib/math/base/special/acot/test/fixtures/julia/REQUIRE
new file mode 100644
index 000000000000..7c8193c06e65
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/acot/test/fixtures/julia/REQUIRE
@@ -0,0 +1,2 @@
+julia 1.4.2
+JSON 0.21.0
diff --git a/lib/node_modules/@stdlib/math/base/special/acot/test/fixtures/julia/huge_negative.json b/lib/node_modules/@stdlib/math/base/special/acot/test/fixtures/julia/huge_negative.json
new file mode 100644
index 000000000000..be9e5f691395
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/acot/test/fixtures/julia/huge_negative.json
@@ -0,0 +1 @@
+{"expected":[-1.0e-300,-1.0019899700803994e-305,-5.00997495012525e-306,-3.3399888778370363e-306,-2.504993750040594e-306,-2.0039960040319678e-306,-1.6699972278046017e-306,-1.4314265367579942e-306,-1.2524984437706837e-306,-1.113332104956911e-306,-1.0019990060169862e-306,-9.109082702635492e-307,-8.349993111255683e-307,-7.707686443921621e-307,-7.157137806248462e-307,-6.679995604562892e-307,-6.262496140736753e-307,-5.894114231939694e-307,-5.566663623557219e-307,-5.2736814820900544e-307,-5.009997540091208e-307,-4.771426342490837e-307,-4.554543425703383e-307,-4.3565198847682755e-307,-4.174998298688193e-307,-4.007998433674212e-307,-3.853844707172141e-307,-3.711109770988138e-307,-3.578570183740229e-307,-3.455171254523576e-307,-3.3399989178403507e-307,-3.232257052089807e-307,-3.1312490508401315e-307,-3.0363627447771213e-307,-2.9470579844846677e-307,-2.8628563518908308e-307,-2.7833325864724224e-307,-2.708107401804421e-307,-2.6368414363381198e-307,-2.5692301348285587e-307,-2.504999397547645e-307,-2.443901866197636e-307,-2.385713740408288e-307,-2.330232038443599e-307,-2.277272231448455e-307,-2.2266661931289893e-307,-2.1782604168658787e-307,-2.131914460430147e-307,-2.0874995851094575e-307,-2.044897561471964e-307,-2.0039996184384724e-307,-1.964705515993148e-307,-1.9269227248891176e-307,-1.8905656992175756e-307,-1.8555552298025264e-307,-1.8218178681342688e-307,-1.7892854120242857e-307,-1.7578944454017103e-307,-1.7275859257170495e-307,-1.698304813304841e-307,-1.6699997378100412e-307,-1.6426226974249248e-307,-1.616128787232087e-307,-1.5904759534195363e-307,-1.5656247705381197e-307,-1.5415382393197954e-307,-1.5181816028760636e-307,-1.4955221793562331e-307,-1.473529209371135e-307,-1.4521737166843367e-307,-1.431428380844107e-307,-1.4112674205788777e-307,-1.3916664869097454e-307,-1.3726025650482488e-307,-1.3540538842483777e-307,-1.3359998348704205e-307,-1.3184208919924018e-307,-1.301298544973876e-307,-1.2846152324378878e-307,-1.2683542821910123e-307,-1.2524998556493917e-307,-1.2370368963813603e-307,-1.2219510824152443e-307,-1.207228781994789e-307,-1.1928570124949122e-307,-1.1788234022375222e-307,-1.165116154971349e-307,-1.1517240168014396e-307,-1.1386362453734627e-307,-1.1258425811354745e-307,-1.1133332205155669e-307,-1.1010987908680223e-307,-1.0891303270534134e-307,-1.077419249529667e-307,-1.0659573438415672e-307,-1.0547367414056605e-307,-1.043749901496103e-307,-1.0329895943447853e-307,-1.0224488852761436e-307,-1.0121211198034978e-307,-1.0019999096196082e-307,-9.920791194194766e-308,-9.823528544982776e-308,-9.72815449071739e-308,-9.634614552703473e-308,-9.54285632762456e-308,-9.452829389647628e-308,-9.36448519801736e-308,-9.277777009784014e-308,-9.192659797335304e-308,-9.109090170426505e-308,-9.027026302425186e-308,-8.946427860507071e-308,-8.867255939558361e-308,-8.789472999556839e-308,-8.71304280622009e-308,-8.637930374723595e-308,-8.564101916305111e-308,-8.491524787584075e-308,-8.420167442436314e-308,-8.349999386275046e-308,-8.280991132598909e-308,-8.213114161677011e-308,-8.146340881249299e-308,-8.080644589128552e-308,-8.01599943759748e-308,-7.952380399501172e-308,-7.889763235941509e-308,-7.828124465485877e-308,-7.76744133480804e-308,-7.707691790684059e-308,-7.648854453270821e-308,-7.590908590599206e-308,-7.533834094217909e-308,-7.477611455927855e-308,-7.422221745550648e-308,-7.367646589677798e-308,-7.31386815135066e-308,-7.260869110623848e-308,-7.208632645967628e-308,-7.157142416467375e-308,-7.106382544780469e-308,-7.056337600813356e-308,-7.006992586083451e-308,-6.958332918732664e-308,-6.910344419161023e-308,-6.863013296250727e-308,-6.816326134152459e-308,-6.770269879607399e-308,-6.724831829779761e-308,-6.679999620576022e-308,-6.635761215428291e-308,-6.59210489452045e-308,-6.549019244436774e-308,-6.506493148213884e-308,-6.464515775777751e-308,-6.42307657474854e-308,-6.382165261596838e-308,-6.341771813135733e-308,-6.301886458333944e-308,-6.262499670435955e-308,-6.223602159375813e-308,-6.185184864471896e-308,-6.147238947390584e-308,-6.109755785367356e-308,-6.072726964674395e-308,-6.0361442743243e-308,-5.999999700000015e-308,-5.964285418201545e-308,-5.928993790600483e-308,-5.894117358593786e-308,-5.859648838048644e-308,-5.825581114230679e-308,-5.791907236908029e-308,-5.75862041562427e-308,-5.7257140151334e-308,-5.693181550990457e-308,-5.661016685291595e-308,-5.62921322255777e-308,-5.597765105756387e-308,-5.566666412455566e-308,-5.535911351105899e-308,-5.505494257444764e-308,-5.475409591018554e-308,-5.4456519318183e-308,-5.416215977024408e-308,-5.38709653785641e-308,-5.358288536523788e-308,-5.329787003274116e-308,-5.301587073534906e-308,-5.273683985145715e-308,-5.246073075677211e-308,-5.218749779833993e-308,-5.191709626938182e-308,-5.164948238490815e-308,-5.138461325808293e-308,-5.112244687731162e-308,-5.086294208402698e-308,-5.060605855114792e-308,-5.035175676218791e-308,-5.009999799099008e-308,-4.985074428206736e-308,-4.96039584315264e-308,-4.935960396855549e-308,-4.911764513745683e-308,-4.887804688020471e-308,-4.864077481951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\ No newline at end of file
diff --git a/lib/node_modules/@stdlib/math/base/special/acot/test/fixtures/julia/huge_positive.json b/lib/node_modules/@stdlib/math/base/special/acot/test/fixtures/julia/huge_positive.json
new file mode 100644
index 000000000000..63de6049ec3c
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/acot/test/fixtures/julia/huge_positive.json
@@ -0,0 +1 @@
+{"expected":[1.0e-300,1.0019899700803994e-305,5.00997495012525e-306,3.3399888778370363e-306,2.504993750040594e-306,2.0039960040319678e-306,1.6699972278046017e-306,1.4314265367579942e-306,1.2524984437706837e-306,1.113332104956911e-306,1.0019990060169862e-306,9.109082702635492e-307,8.349993111255683e-307,7.707686443921621e-307,7.157137806248462e-307,6.679995604562892e-307,6.262496140736753e-307,5.894114231939694e-307,5.566663623557219e-307,5.2736814820900544e-307,5.009997540091208e-307,4.771426342490837e-307,4.554543425703383e-307,4.3565198847682755e-307,4.174998298688193e-307,4.007998433674212e-307,3.853844707172141e-307,3.711109770988138e-307,3.578570183740229e-307,3.455171254523576e-307,3.3399989178403507e-307,3.232257052089807e-307,3.1312490508401315e-307,3.0363627447771213e-307,2.9470579844846677e-307,2.8628563518908308e-307,2.7833325864724224e-307,2.708107401804421e-307,2.6368414363381198e-307,2.5692301348285587e-307,2.504999397547645e-307,2.443901866197636e-307,2.385713740408288e-307,2.330232038443599e-307,2.277272231448455e-307,2.2266661931289893e-307,2.1782604168658787e-307,2.131914460430147e-307,2.0874995851094575e-307,2.044897561471964e-307,2.0039996184384724e-307,1.964705515993148e-307,1.9269227248891176e-307,1.8905656992175756e-307,1.8555552298025264e-307,1.8218178681342688e-307,1.7892854120242857e-307,1.7578944454017103e-307,1.7275859257170495e-307,1.698304813304841e-307,1.6699997378100412e-307,1.6426226974249248e-307,1.616128787232087e-307,1.5904759534195363e-307,1.5656247705381197e-307,1.5415382393197954e-307,1.5181816028760636e-307,1.4955221793562331e-307,1.473529209371135e-307,1.4521737166843367e-307,1.431428380844107e-307,1.4112674205788777e-307,1.3916664869097454e-307,1.3726025650482488e-307,1.3540538842483777e-307,1.3359998348704205e-307,1.3184208919924018e-307,1.301298544973876e-307,1.2846152324378878e-307,1.2683542821910123e-307,1.2524998556493917e-307,1.2370368963813603e-307,1.2219510824152443e-307,1.207228781994789e-307,1.1928570124949122e-307,1.1788234022375222e-307,1.165116154971349e-307,1.1517240168014396e-307,1.1386362453734627e-307,1.1258425811354745e-307,1.1133332205155669e-307,1.1010987908680223e-307,1.0891303270534134e-307,1.077419249529667e-307,1.0659573438415672e-307,1.0547367414056605e-307,1.043749901496103e-307,1.0329895943447853e-307,1.0224488852761436e-307,1.0121211198034978e-307,1.0019999096196082e-307,9.920791194194766e-308,9.823528544982776e-308,9.72815449071739e-308,9.634614552703473e-308,9.54285632762456e-308,9.452829389647628e-308,9.36448519801736e-308,9.277777009784014e-308,9.192659797335304e-308,9.109090170426505e-308,9.027026302425186e-308,8.946427860507071e-308,8.867255939558361e-308,8.789472999556839e-308,8.71304280622009e-308,8.637930374723595e-308,8.564101916305111e-308,8.491524787584075e-308,8.420167442436314e-308,8.349999386275046e-308,8.280991132598909e-308,8.213114161677011e-308,8.146340881249299e-308,8.080644589128552e-308,8.01599943759748e-308,7.952380399501172e-308,7.889763235941509e-308,7.828124465485877e-308,7.76744133480804e-308,7.707691790684059e-308,7.648854453270821e-308,7.590908590599206e-308,7.533834094217909e-308,7.477611455927855e-308,7.422221745550648e-308,7.367646589677798e-308,7.31386815135066e-308,7.260869110623848e-308,7.208632645967628e-308,7.157142416467375e-308,7.106382544780469e-308,7.056337600813356e-308,7.006992586083451e-308,6.958332918732664e-308,6.910344419161023e-308,6.863013296250727e-308,6.816326134152459e-308,6.770269879607399e-308,6.724831829779761e-308,6.679999620576022e-308,6.635761215428291e-308,6.59210489452045e-308,6.549019244436774e-308,6.506493148213884e-308,6.464515775777751e-308,6.42307657474854e-308,6.382165261596838e-308,6.341771813135733e-308,6.301886458333944e-308,6.262499670435955e-308,6.223602159375813e-308,6.185184864471896e-308,6.147238947390584e-308,6.109755785367356e-308,6.072726964674395e-308,6.0361442743243e-308,5.999999700000015e-308,5.964285418201545e-308,5.928993790600483e-308,5.894117358593786e-308,5.859648838048644e-308,5.825581114230679e-308,5.791907236908029e-308,5.75862041562427e-308,5.7257140151334e-308,5.693181550990457e-308,5.661016685291595e-308,5.62921322255777e-308,5.597765105756387e-308,5.566666412455566e-308,5.535911351105899e-308,5.505494257444764e-308,5.475409591018554e-308,5.4456519318183e-308,5.416215977024408e-308,5.38709653785641e-308,5.358288536523788e-308,5.329787003274116e-308,5.301587073534906e-308,5.273683985145715e-308,5.246073075677211e-308,5.218749779833993e-308,5.191709626938182e-308,5.164948238490815e-308,5.138461325808293e-308,5.112244687731162e-308,5.086294208402698e-308,5.060605855114792e-308,5.035175676218791e-308,5.009999799099008e-308,4.985074428206736e-308,4.96039584315264e-308,4.935960396855549e-308,4.911764513745683e-308,4.887804688020471e-308,4.864077481951181e-308,4.840579524238613e-308,4.817307508416242e-308,4.794258191299198e-308,4.771428391477557e-308,4.748814987852481e-308,4.726414918213783e-308,4.704225177857575e-308,4.682242818242647e-308,4.660464945684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\ No newline at end of file
diff --git a/lib/node_modules/@stdlib/math/base/special/acot/test/fixtures/julia/large_negative.json b/lib/node_modules/@stdlib/math/base/special/acot/test/fixtures/julia/large_negative.json
new file mode 100644
index 000000000000..d2e26dd8f46c
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/acot/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/acot/test/fixtures/julia/large_positive.json b/lib/node_modules/@stdlib/math/base/special/acot/test/fixtures/julia/large_positive.json
new file mode 100644
index 000000000000..63e3fa584c2e
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/acot/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/acot/test/fixtures/julia/larger_negative.json b/lib/node_modules/@stdlib/math/base/special/acot/test/fixtures/julia/larger_negative.json
new file mode 100644
index 000000000000..bafb2564fa87
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/acot/test/fixtures/julia/larger_negative.json
@@ -0,0 +1 @@
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diff --git a/lib/node_modules/@stdlib/math/base/special/acot/test/fixtures/julia/larger_positive.json b/lib/node_modules/@stdlib/math/base/special/acot/test/fixtures/julia/larger_positive.json
new file mode 100644
index 000000000000..50e4cf2d7e30
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/acot/test/fixtures/julia/larger_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/acot/test/fixtures/julia/medium_negative.json b/lib/node_modules/@stdlib/math/base/special/acot/test/fixtures/julia/medium_negative.json
new file mode 100644
index 000000000000..4c5e79e5dda1
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/acot/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/acot/test/fixtures/julia/medium_positive.json b/lib/node_modules/@stdlib/math/base/special/acot/test/fixtures/julia/medium_positive.json
new file mode 100644
index 000000000000..3ce6c03f8d02
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/acot/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/acot/test/fixtures/julia/runner.jl b/lib/node_modules/@stdlib/math/base/special/acot/test/fixtures/julia/runner.jl
new file mode 100755
index 000000000000..a918a590886f
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/acot/test/fixtures/julia/runner.jl
@@ -0,0 +1,95 @@
+#!/usr/bin/env julia
+#
+# @license Apache-2.0
+#
+# Copyright (c) 2020 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> domain = range( -1000.0, 1000.0, 2001 );
+julia> gen( x, \"data.json\" );
+```
+"""
+function gen( domain, name )
+
+ x = collect(domain)
+ y = acot.(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);
+
+# Positive medium values:
+x = range( 1.1, stop=3.0, length=503 );
+
+gen( x, "medium_positive.json" );
+
+# Large positive values:
+x = range( 3.0, stop=28.0, length=503 );
+gen( x, "large_positive.json" );
+
+# Larger positive values:
+x = range( 28.0, stop=100.0, length=503 );
+gen( x, "larger_positive.json" );
+
+# Huge positive values:
+x = range( 1.0e300, stop=1.0e308, length=1003 );
+gen( x, "huge_positive.json" );
+
+# Negative medium values:
+x = range( -1.1, stop=-3.0, length=503 );
+gen( x, "medium_negative.json" );
+
+# Large negative values:
+x = range( -3.0, stop=-28.0, length=503 );
+gen( x, "large_negative.json" );
+
+# Larger negative values:
+x = range( -28.0, stop=-100.0, length=503 );
+gen( x, "larger_negative.json" );
+
+# Huge negative values:
+x = range( -1.0e300, stop=-1.0e308, length=1003 );
+gen( x, "huge_negative.json" );
diff --git a/lib/node_modules/@stdlib/math/base/special/acot/test/test.js b/lib/node_modules/@stdlib/math/base/special/acot/test/test.js
new file mode 100644
index 000000000000..c57d0f63389f
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/acot/test/test.js
@@ -0,0 +1,238 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2020 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 EPS = require( '@stdlib/constants/math/float64-eps' );
+var abs = require( '@stdlib/math/base/special/abs' );
+var acot = require( './../lib' );
+
+
+// FIXTURES //
+
+var largerPositive = require( './fixtures/julia/larger_positive.json' );
+var largePositive = require( './fixtures/julia/large_positive.json' );
+var mediumPositive = require( './fixtures/julia/medium_positive.json' );
+var hugePositive = require( './fixtures/julia/huge_positive.json' );
+var largerNegative = require( './fixtures/julia/larger_negative.json' );
+var largeNegative = require( './fixtures/julia/large_negative.json' );
+var mediumNegative = require( './fixtures/julia/medium_negative.json' );
+var hugeNegative = require( './fixtures/julia/huge_negative.json' );
+
+
+// TESTS //
+
+tape( 'main export is a function', function test( t ) {
+ t.ok( true, __filename );
+ t.true( typeof acot, 'function', 'main export is a function' );
+ t.end();
+});
+
+tape( 'the function computes the inverse cotangent for 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 = acot( x[ i ] );
+ if ( y === expected[ i ] ) {
+ t.equal( y, expected[ i ], 'x: '+x[i]+'. E: '+expected[i]+'.' );
+ } else {
+ delta = abs( y - expected[i] );
+ tol = 1.0 * 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 inverse cotangent for 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 = acot( x[ i ] );
+ if ( y === expected[ i ] ) {
+ t.equal( y, expected[ i ], 'x: '+x[i]+'. E: '+expected[i]+'.' );
+ } else {
+ delta = abs( y - expected[i] );
+ tol = 1.0 * 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 inverse cotangent for 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 = acot( x[ i ] );
+ if ( y === expected[ i ] ) {
+ t.equal( y, expected[ i ], 'x: '+x[i]+'. E: '+expected[i]+'.' );
+ } else {
+ delta = abs( y - expected[i] );
+ tol = 1.0 * 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 inverse cotangent for 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 = acot( x[ i ] );
+ if ( y === expected[ i ] ) {
+ t.equal( y, expected[ i ], 'x: '+x[i]+'. E: '+expected[i]+'.' );
+ } else {
+ delta = abs( y - expected[i] );
+ tol = 1.0 * 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 inverse cotangent for larger positive values', function test( t ) {
+ var expected;
+ var delta;
+ var tol;
+ var x;
+ var y;
+ var i;
+
+ x = largerPositive.x;
+ expected = largerPositive.expected;
+ for ( i = 0; i < x.length; i++ ) {
+ y = acot( x[ i ] );
+ if ( y === expected[ i ] ) {
+ t.equal( y, expected[ i ], 'x: '+x[i]+'. E: '+expected[i]+'.' );
+ } else {
+ delta = abs( y - expected[i] );
+ tol = 1.0 * 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 inverse cotangent for larger negative values', function test( t ) {
+ var expected;
+ var delta;
+ var tol;
+ var x;
+ var y;
+ var i;
+
+ x = largerNegative.x;
+ expected = largerNegative.expected;
+ for ( i = 0; i < x.length; i++ ) {
+ y = acot( x[ i ] );
+ if ( y === expected[ i ] ) {
+ t.equal( y, expected[ i ], 'x: '+x[i]+'. E: '+expected[i]+'.' );
+ } else {
+ delta = abs( y - expected[i] );
+ tol = 1.0 * 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 inverse cotangent for 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 = acot( x[ i ] );
+ if ( y === expected[ i ] ) {
+ t.equal( y, expected[ i ], 'x: '+x[i]+'. E: '+expected[i]+'.' );
+ } else {
+ delta = abs( y - expected[i] );
+ tol = 1.0 * 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 inverse cotangent for 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 = acot( x[ i ] );
+ if ( y === expected[ i ] ) {
+ t.equal( y, expected[ i ], 'x: '+x[i]+'. E: '+expected[i]+'.' );
+ } else {
+ delta = abs( y - expected[i] );
+ tol = 1.0 * 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 = acot( NaN );
+ t.equal( isnan( v ), true, 'returns NaN' );
+ t.end();
+});
\ No newline at end of file