From 458d5a175647893de6d550cdc5fa8e3a96957ca4 Mon Sep 17 00:00:00 2001 From: JithinKS97 Date: Sun, 21 Jun 2020 09:30:22 +0530 Subject: [PATCH 01/10] created a new folder acot and copied files from acoth to it --- .../@stdlib/math/base/special/acot/README.md | 87 ++++++ .../base/special/acot/benchmark/benchmark.js | 51 ++++ .../base/special/acot/benchmark/c/Makefile | 107 ++++++++ .../base/special/acot/benchmark/c/benchmark.c | 134 ++++++++++ .../base/special/acot/benchmark/julia/REQUIRE | 2 + .../special/acot/benchmark/julia/benchmark.jl | 143 ++++++++++ .../acot/benchmark/python/benchmark.py | 97 +++++++ .../base/special/acot/benchmark/r/DESCRIPTION | 9 + .../base/special/acot/benchmark/r/benchmark.R | 109 ++++++++ .../math/base/special/acot/docs/repl.txt | 35 +++ .../base/special/acot/docs/types/index.d.ts | 52 ++++ .../math/base/special/acot/docs/types/test.ts | 44 +++ .../math/base/special/acot/examples/index.js | 29 ++ .../math/base/special/acot/lib/index.js | 52 ++++ .../math/base/special/acot/lib/main.js | 61 +++++ .../math/base/special/acot/package.json | 74 ++++++ .../special/acot/test/fixtures/julia/REQUIRE | 2 + .../test/fixtures/julia/huge_negative.json | 1 + .../test/fixtures/julia/huge_positive.json | 1 + .../test/fixtures/julia/large_negative.json | 1 + .../test/fixtures/julia/large_positive.json | 1 + .../test/fixtures/julia/larger_negative.json | 1 + .../test/fixtures/julia/larger_positive.json | 1 + .../test/fixtures/julia/medium_negative.json | 1 + .../test/fixtures/julia/medium_positive.json | 1 + .../acot/test/fixtures/julia/runner.jl | 92 +++++++ .../math/base/special/acot/test/test.js | 250 ++++++++++++++++++ 27 files changed, 1438 insertions(+) create mode 100644 lib/node_modules/@stdlib/math/base/special/acot/README.md create mode 100644 lib/node_modules/@stdlib/math/base/special/acot/benchmark/benchmark.js create mode 100644 lib/node_modules/@stdlib/math/base/special/acot/benchmark/c/Makefile create mode 100644 lib/node_modules/@stdlib/math/base/special/acot/benchmark/c/benchmark.c create mode 100644 lib/node_modules/@stdlib/math/base/special/acot/benchmark/julia/REQUIRE create mode 100755 lib/node_modules/@stdlib/math/base/special/acot/benchmark/julia/benchmark.jl create mode 100755 lib/node_modules/@stdlib/math/base/special/acot/benchmark/python/benchmark.py create mode 100644 lib/node_modules/@stdlib/math/base/special/acot/benchmark/r/DESCRIPTION create mode 100755 lib/node_modules/@stdlib/math/base/special/acot/benchmark/r/benchmark.R create mode 100644 lib/node_modules/@stdlib/math/base/special/acot/docs/repl.txt create mode 100644 lib/node_modules/@stdlib/math/base/special/acot/docs/types/index.d.ts create mode 100644 lib/node_modules/@stdlib/math/base/special/acot/docs/types/test.ts create mode 100644 lib/node_modules/@stdlib/math/base/special/acot/examples/index.js create mode 100644 lib/node_modules/@stdlib/math/base/special/acot/lib/index.js create mode 100644 lib/node_modules/@stdlib/math/base/special/acot/lib/main.js create mode 100644 lib/node_modules/@stdlib/math/base/special/acot/package.json create mode 100644 lib/node_modules/@stdlib/math/base/special/acot/test/fixtures/julia/REQUIRE create mode 100644 lib/node_modules/@stdlib/math/base/special/acot/test/fixtures/julia/huge_negative.json create mode 100644 lib/node_modules/@stdlib/math/base/special/acot/test/fixtures/julia/huge_positive.json create mode 100644 lib/node_modules/@stdlib/math/base/special/acot/test/fixtures/julia/large_negative.json create mode 100644 lib/node_modules/@stdlib/math/base/special/acot/test/fixtures/julia/large_positive.json create mode 100644 lib/node_modules/@stdlib/math/base/special/acot/test/fixtures/julia/larger_negative.json create mode 100644 lib/node_modules/@stdlib/math/base/special/acot/test/fixtures/julia/larger_positive.json create mode 100644 lib/node_modules/@stdlib/math/base/special/acot/test/fixtures/julia/medium_negative.json create mode 100644 lib/node_modules/@stdlib/math/base/special/acot/test/fixtures/julia/medium_positive.json create mode 100755 lib/node_modules/@stdlib/math/base/special/acot/test/fixtures/julia/runner.jl create mode 100644 lib/node_modules/@stdlib/math/base/special/acot/test/test.js 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..745d55f36a8f --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/acot/README.md @@ -0,0 +1,87 @@ + + +# acoth + +> Compute the [inverse hyperbolic cotangent][hyperbolic-arctangent] of a number. + +
+ +## Usage + +```javascript +var acoth = require( '@stdlib/math/base/special/acoth' ); +``` + +#### acoth( x ) + +Computes the [inverse hyperbolic cotangent][hyperbolic-arctangent] of a `number` (in radians). + +```javascript +var v = acoth( 2.0 ); +// returns ~0.5493 + +v = acoth( 1.0 ); +// returns Infinity +``` + +The domain of the inverse hyperbolic cotangent is the union of the intervals `(-inf,-1]` and `[1,inf)`. If provided a value on the open interval `(-1,1)`, the function returns `NaN`. + +```javascript +var v = acoth( 0.0 ); +// returns NaN + +v = acoth( 0.5 ); +// returns NaN +``` + +
+ + + +
+ +## Examples + + + +```javascript +var linspace = require( '@stdlib/math/utils/linspace' ); +var acoth = require( '@stdlib/math/base/special/acoth' ); + +var x = linspace( 1.0, 5.0, 100 ); +var i; + +for ( i = 0; i < x.length; i++ ) { + console.log( acoth( x[ i ] ) ); +} +``` + +
+ + + +
+ +[hyperbolic-arctangent]: https://en.wikipedia.org/wiki/Inverse_hyperbolic_function + +
+ + 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..f5dda57ebaf8 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/acot/benchmark/benchmark.js @@ -0,0 +1,51 @@ +/** +* @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 acoth = 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 = acoth( 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..e4542b1e66e9 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/acot/benchmark/c/Makefile @@ -0,0 +1,107 @@ +#/ +# @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. +#/ + + +# 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..3c3e445f598f --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/acot/benchmark/c/benchmark.c @@ -0,0 +1,134 @@ +/** +* @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. +*/ + +/** +* Benchmark `acoth`. +*/ +#include +#include +#include +#include + +#define NAME "acoth" +#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 = atanh( 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..11b2b096cae4 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/acot/benchmark/julia/REQUIRE @@ -0,0 +1,2 @@ +julia 0.5 +BenchmarkTools 0.0.8 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..ca08370466e6 --- /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) 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 BenchmarkTools + +# Benchmark variables: +name = "acoth"; +repeats = 3; + +""" + print_version() + +Prints the TAP version. + +# Examples + +``` julia +julia> print_version() +``` +""" +function print_version() + @printf( "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 ) + @printf( "#\n" ); + @printf( "1..%d\n", total ); # TAP plan + @printf( "# total %d\n", total ); + @printf( "# pass %d\n", passing ); + @printf( "#\n" ); + @printf( "# 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 + + @printf( " ---\n" ); + @printf( " iterations: %d\n", iterations ); + @printf( " elapsed: %0.9f\n", elapsed ); + @printf( " rate: %0.9f\n", rate ); + @printf( " ...\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 acoth( (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 + @printf( "# julia::%s\n", name ); + results = benchmark(); + print_results( results[ 1 ], results[ 2 ] ); + @printf( "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..f0d9271a1ce6 --- /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) 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. + +"""Benchmark acoth.""" + +from __future__ import print_function +import timeit + +NAME = "acoth" +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 atanh; from random import random;" + stmt = "y = atanh(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..d309fb28ec36 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/acot/benchmark/r/DESCRIPTION @@ -0,0 +1,9 @@ +Package: acoth-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..05ecc4415628 --- /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) 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. + +# Set the precision to 16 digits: +options( digits = 16 ); + +#' Run benchmarks. +#' +#' @examples +#' main(); +main <- function() { + # Define benchmark parameters: + name <- "acoth"; + 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( atanh( 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..f67227cf0721 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/acot/docs/repl.txt @@ -0,0 +1,35 @@ + +{{alias}}( x ) + Computes the inverse hyperbolic cotangent of a number. + + The domain of the inverse hyperbolic cotangent is the union of the intervals + (-inf,-1] and [1,inf). + + If provided a value on the open interval (-1,1), the function returns `NaN`. + + Parameters + ---------- + x: number + Input value. + + Returns + ------- + y: number + Inverse hyperbolic cotangent (in radians). + + Examples + -------- + > var y = {{alias}}( 2.0 ) + ~0.5493 + > y = {{alias}}( 0.0 ) + NaN + > y = {{alias}}( 0.5 ) + NaN + > y = {{alias}}( 1.0 ) + Infinity + > 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..617e883bc5d0 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/acot/docs/types/index.d.ts @@ -0,0 +1,52 @@ +/* +* @license Apache-2.0 +* +* Copyright (c) 2019 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 hyperbolic cotangent of a number. +* +* @param x - input value +* @returns inverse hyperbolic cotangent (in radians) +* +* @example +* var v = acoth( 2.0 ); +* // returns ~0.5493 +* +* @example +* var v = acoth( 0.0 ); +* // returns NaN +* +* @example +* var v = acoth( 0.5 ); +* // returns NaN +* +* @example +* var v = acoth( 1.0 ); +* // returns Infinity +* +* @example +* var v = acoth( NaN ); +* // returns NaN +*/ +declare function acoth( x: number ): number; + + +// EXPORTS // + +export = acoth; 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..e158ec94bd9a --- /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) 2019 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 acoth = require( './index' ); + + +// TESTS // + +// The function returns a number... +{ + acoth( 8 ); // $ExpectType number +} + +// The function does not compile if provided a value other than a number... +{ + acoth( true ); // $ExpectError + acoth( false ); // $ExpectError + acoth( null ); // $ExpectError + acoth( undefined ); // $ExpectError + acoth( '5' ); // $ExpectError + acoth( [] ); // $ExpectError + acoth( {} ); // $ExpectError + acoth( ( x: number ): number => x ); // $ExpectError +} + +// The function does not compile if provided insufficient arguments... +{ + acoth(); // $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..d5534f5498fb --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/acot/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/math/utils/linspace' ); +var acoth = require( './../lib' ); + +var x = linspace( 1.0, 5.0, 100 ); +var i; + +for ( i = 0; i < x.length; i++ ) { + console.log( 'acoth(%d) = %d', x[ i ], acoth( 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..c03fbac2a438 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/acot/lib/index.js @@ -0,0 +1,52 @@ +/** +* @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 arccosine of a number. +* +* @module @stdlib/math/base/special/acoth +* +* @example +* var acoth = require( '@stdlib/math/base/special/acoth' ); +* +* var v = acoth( 2.0 ); +* // returns ~0.5493 +* +* v = acoth( 0.0 ); +* // returns NaN +* +* v = acoth( 0.5 ); +* // returns NaN +* +* v = acoth( 1.0 ); +* // returns Infinity +* +* v = acoth( NaN ); +* // returns NaN +*/ + +// MODULES // + +var acoth = require( './main.js' ); + + +// EXPORTS // + +module.exports = acoth; 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..6f2befa16963 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/acot/lib/main.js @@ -0,0 +1,61 @@ +/** +* @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 atanh = require( '@stdlib/math/base/special/atanh' ); + + +// MAIN // + +/** +* Computes the inverse hyperbolic cotangent of a number. +* +* @param {number} x - input value +* @returns {number} inverse hyperbolic cotangent (in radians) +* +* @example +* var v = acoth( 2.0 ); +* // returns ~0.5493 +* +* @example +* var v = acoth( 0.0 ); +* // returns NaN +* +* @example +* var v = acoth( 0.5 ); +* // returns NaN +* +* @example +* var v = acoth( 1.0 ); +* // returns Infinity +* +* @example +* var v = acoth( NaN ); +* // returns NaN +*/ +function acoth( x ) { + return atanh( 1.0/x ); +} + + +// EXPORTS // + +module.exports = acoth; 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..0972991e1d0d --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/acot/package.json @@ -0,0 +1,74 @@ +{ + "name": "@stdlib/math/base/special/acoth", + "version": "0.0.0", + "description": "Compute the inverse hyperbolic 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..becfcba22e9e --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/acot/test/fixtures/julia/REQUIRE @@ -0,0 +1,2 @@ +julia 0.5 +JSON 0.5 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..f3326077a5c5 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/acot/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/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..23c8fef7c52b --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/acot/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/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..94b04ac20ee7 --- /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/larger_negative.json b/lib/node_modules/@stdlib/math/base/special/acot/test/fixtures/julia/larger_negative.json new file mode 100644 index 000000000000..34881d4f3bf1 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/acot/test/fixtures/julia/larger_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/larger_positive.json b/lib/node_modules/@stdlib/math/base/special/acot/test/fixtures/julia/larger_positive.json new file mode 100644 index 000000000000..477d2fc95f00 --- /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..e1236dc042c7 --- /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..52d26effe418 --- /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..55ee2358a2ac --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/acot/test/fixtures/julia/runner.jl @@ -0,0 +1,92 @@ +#!/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( x, name ) + +Generate fixture data and write to file. + +# Arguments + +* `x`: domain +* `name::AbstractString`: output filename + +# Examples + +``` julia +julia> x = linspace( -1000.0, 1000.0, 2001 ); +julia> gen( x, \"data.json\" ); +``` +""" +function gen( x, name ) + y = acoth( 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 = linspace( 1.1, 3.0, 503 ); +gen( x, "medium_positive.json" ); + +# Large positive values: +x = linspace( 3.0, 28.0, 503 ); +gen( x, "large_positive.json" ); + +# Larger positive values: +x = linspace( 28.0, 100.0, 503 ); +gen( x, "larger_positive.json" ); + +# Huge positive values: +x = linspace( 1.0e300, 1.0e308, 1003 ); +gen( x, "huge_positive.json" ); + +# Negative medium values: +x = linspace( -1.1, -3.0, 503 ); +gen( x, "medium_negative.json" ); + +# Large negative values: +x = linspace( -3.0, -28.0, 503 ); +gen( x, "large_negative.json" ); + +# Larger negative values: +x = linspace( -28.0, -100.0, 503 ); +gen( x, "larger_negative.json" ); + +# Huge negative values: +x = linspace( -1.0e300, -1.0e308, 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..1e423bcb3403 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/acot/test/test.js @@ -0,0 +1,250 @@ +/** +* @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 randu = require( '@stdlib/random/base/randu' ); +var EPS = require( '@stdlib/constants/math/float64-eps' ); +var abs = require( '@stdlib/math/base/special/abs' ); +var acoth = 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 acoth, 'function', 'main export is a function' ); + t.end(); +}); + +tape( 'the function computes the inverse hyperbolic 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 = acoth( 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 hyperbolic 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 = acoth( 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 hyperbolic 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 = acoth( 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 hyperbolic 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 = acoth( 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 hyperbolic 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 = acoth( 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 hyperbolic 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 = acoth( 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 hyperbolic 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 = acoth( 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 hyperbolic 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 = acoth( 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 = acoth( NaN ); + t.equal( isnan( v ), true, 'returns NaN' ); + t.end(); +}); + +tape( 'the function returns `NaN` if provided a value on the open interval (-1,1)', function test( t ) { + var v; + var i; + + for ( i = 0; i < 1e3; i++ ) { + v = (randu() * 0.99) - 0.99; + t.equal( isnan( acoth( v ) ), true, 'returns NaN when provided '+v ); + } + t.end(); +}); From 8c99c24f36f598ef04735b412b0b0a2b488ce115 Mon Sep 17 00:00:00 2001 From: JithinKS97 Date: Sun, 21 Jun 2020 09:33:20 +0530 Subject: [PATCH 02/10] changed copyright year to 2020 --- lib/node_modules/@stdlib/math/base/special/acot/README.md | 2 +- .../@stdlib/math/base/special/acot/benchmark/benchmark.js | 2 +- .../@stdlib/math/base/special/acot/benchmark/c/Makefile | 2 +- .../@stdlib/math/base/special/acot/benchmark/c/benchmark.c | 2 +- .../@stdlib/math/base/special/acot/benchmark/julia/benchmark.jl | 2 +- .../math/base/special/acot/benchmark/python/benchmark.py | 2 +- .../@stdlib/math/base/special/acot/benchmark/r/benchmark.R | 2 +- .../@stdlib/math/base/special/acot/docs/types/index.d.ts | 2 +- .../@stdlib/math/base/special/acot/docs/types/test.ts | 2 +- .../@stdlib/math/base/special/acot/examples/index.js | 2 +- lib/node_modules/@stdlib/math/base/special/acot/lib/index.js | 2 +- lib/node_modules/@stdlib/math/base/special/acot/lib/main.js | 2 +- .../math/base/special/acot/test/fixtures/julia/runner.jl | 2 +- lib/node_modules/@stdlib/math/base/special/acot/test/test.js | 2 +- 14 files changed, 14 insertions(+), 14 deletions(-) diff --git a/lib/node_modules/@stdlib/math/base/special/acot/README.md b/lib/node_modules/@stdlib/math/base/special/acot/README.md index 745d55f36a8f..5397efe3bf2e 100644 --- a/lib/node_modules/@stdlib/math/base/special/acot/README.md +++ b/lib/node_modules/@stdlib/math/base/special/acot/README.md @@ -2,7 +2,7 @@ @license Apache-2.0 -Copyright (c) 2018 The Stdlib Authors. +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. 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 index f5dda57ebaf8..6f58e3d61f1f 100644 --- a/lib/node_modules/@stdlib/math/base/special/acot/benchmark/benchmark.js +++ b/lib/node_modules/@stdlib/math/base/special/acot/benchmark/benchmark.js @@ -1,7 +1,7 @@ /** * @license Apache-2.0 * -* Copyright (c) 2018 The Stdlib Authors. +* 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. 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 index e4542b1e66e9..9e90af0034a1 100644 --- a/lib/node_modules/@stdlib/math/base/special/acot/benchmark/c/Makefile +++ b/lib/node_modules/@stdlib/math/base/special/acot/benchmark/c/Makefile @@ -1,7 +1,7 @@ #/ # @license Apache-2.0 # -# Copyright (c) 2018 The Stdlib Authors. +# 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. 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 index 3c3e445f598f..72e910f8153b 100644 --- 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 @@ -1,7 +1,7 @@ /** * @license Apache-2.0 * -* Copyright (c) 2018 The Stdlib Authors. +* 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. 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 index ca08370466e6..9bdab609c104 100755 --- 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 @@ -2,7 +2,7 @@ # # @license Apache-2.0 # -# Copyright (c) 2018 The Stdlib Authors. +# 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. 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 index f0d9271a1ce6..5014ca678c83 100755 --- 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 @@ -2,7 +2,7 @@ # # @license Apache-2.0 # -# Copyright (c) 2018 The Stdlib Authors. +# 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. 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 index 05ecc4415628..138d84f022f6 100755 --- 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 @@ -2,7 +2,7 @@ # # @license Apache-2.0 # -# Copyright (c) 2018 The Stdlib Authors. +# 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. 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 index 617e883bc5d0..71c8d3bad561 100644 --- 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 @@ -1,7 +1,7 @@ /* * @license Apache-2.0 * -* Copyright (c) 2019 The Stdlib Authors. +* 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. 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 index e158ec94bd9a..c5a81d31982c 100644 --- 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 @@ -1,7 +1,7 @@ /* * @license Apache-2.0 * -* Copyright (c) 2019 The Stdlib Authors. +* 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. 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 index d5534f5498fb..fc2a5e8eb981 100644 --- a/lib/node_modules/@stdlib/math/base/special/acot/examples/index.js +++ b/lib/node_modules/@stdlib/math/base/special/acot/examples/index.js @@ -1,7 +1,7 @@ /** * @license Apache-2.0 * -* Copyright (c) 2018 The Stdlib Authors. +* 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. 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 index c03fbac2a438..a62e55ffc1e1 100644 --- a/lib/node_modules/@stdlib/math/base/special/acot/lib/index.js +++ b/lib/node_modules/@stdlib/math/base/special/acot/lib/index.js @@ -1,7 +1,7 @@ /** * @license Apache-2.0 * -* Copyright (c) 2018 The Stdlib Authors. +* 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. 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 index 6f2befa16963..8c97b1d830ab 100644 --- a/lib/node_modules/@stdlib/math/base/special/acot/lib/main.js +++ b/lib/node_modules/@stdlib/math/base/special/acot/lib/main.js @@ -1,7 +1,7 @@ /** * @license Apache-2.0 * -* Copyright (c) 2018 The Stdlib Authors. +* 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. 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 index 55ee2358a2ac..55671a73566d 100755 --- 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 @@ -2,7 +2,7 @@ # # @license Apache-2.0 # -# Copyright (c) 2018 The Stdlib Authors. +# 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. 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 index 1e423bcb3403..29dda52b976f 100644 --- a/lib/node_modules/@stdlib/math/base/special/acot/test/test.js +++ b/lib/node_modules/@stdlib/math/base/special/acot/test/test.js @@ -1,7 +1,7 @@ /** * @license Apache-2.0 * -* Copyright (c) 2018 The Stdlib Authors. +* 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. From da210db2004f9e7b78d8e2a18475571eea4afbc3 Mon Sep 17 00:00:00 2001 From: JithinKS97 Date: Sun, 21 Jun 2020 10:40:31 +0530 Subject: [PATCH 03/10] changed acoth to acot in test --- .../math/base/special/acot/lib/main.js | 35 ++++++++++--------- .../math/base/special/acot/package.json | 4 +-- .../acot/test/fixtures/julia/runner.jl | 2 +- 3 files changed, 22 insertions(+), 19 deletions(-) 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 index 8c97b1d830ab..bb14eca24ef6 100644 --- a/lib/node_modules/@stdlib/math/base/special/acot/lib/main.js +++ b/lib/node_modules/@stdlib/math/base/special/acot/lib/main.js @@ -20,42 +20,45 @@ // MODULES // -var atanh = require( '@stdlib/math/base/special/atanh' ); +var atan = require( '@stdlib/math/base/special/atan' ); // MAIN // /** -* Computes the inverse hyperbolic cotangent of a number. +* Computes the inverse cotangent of a number. * * @param {number} x - input value -* @returns {number} inverse hyperbolic cotangent (in radians) +* @returns {number} inverse cotangent (in radians) * * @example -* var v = acoth( 2.0 ); -* // returns ~0.5493 +* var v = acot( 2.0 ); +* // returns ~0.4636 * * @example -* var v = acoth( 0.0 ); -* // returns NaN +* var v = acot( 0.0 ); +* // returns ~1.5708 * * @example -* var v = acoth( 0.5 ); -* // returns NaN +* var v = acot( 0.5 ); +* // returns ~1.1071 * * @example -* var v = acoth( 1.0 ); -* // returns Infinity +* var v = acot( 1.0 ); +* // returns ~0.7854 * * @example -* var v = acoth( NaN ); +* var v = acot( NaN ); * // returns NaN +* +* @example +* var v = acot(Infinity) +* // returns 0 */ -function acoth( x ) { - return atanh( 1.0/x ); +function acot( x ) { + return atan( 1.0/x ); } - // EXPORTS // -module.exports = acoth; +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 index 0972991e1d0d..283ad953aa89 100644 --- a/lib/node_modules/@stdlib/math/base/special/acot/package.json +++ b/lib/node_modules/@stdlib/math/base/special/acot/package.json @@ -1,7 +1,7 @@ { - "name": "@stdlib/math/base/special/acoth", + "name": "@stdlib/math/base/special/acot", "version": "0.0.0", - "description": "Compute the inverse hyperbolic cotangent.", + "description": "Compute the inverse cotangent.", "license": "Apache-2.0", "author": { "name": "The Stdlib Authors", 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 index 55671a73566d..ec0511782b24 100755 --- 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 @@ -36,7 +36,7 @@ julia> gen( x, \"data.json\" ); ``` """ function gen( x, name ) - y = acoth( x ); + y = acot( x ); # Store data to be written to file as a collection: data = Dict([ From 458456394a5afd0b2d279890f2cc98ea063c5243 Mon Sep 17 00:00:00 2001 From: JithinKS97 Date: Tue, 23 Jun 2020 12:14:51 +0530 Subject: [PATCH 04/10] added fixtures with julia 1 --- .../test/fixtures/julia/huge_negative.json | 2 +- .../test/fixtures/julia/huge_positive.json | 2 +- .../test/fixtures/julia/large_negative.json | 2 +- .../test/fixtures/julia/large_positive.json | 2 +- .../test/fixtures/julia/larger_negative.json | 2 +- .../test/fixtures/julia/larger_positive.json | 2 +- .../test/fixtures/julia/medium_negative.json | 2 +- .../test/fixtures/julia/medium_positive.json | 2 +- .../acot/test/fixtures/julia/runner.jl | 33 ++++++++++--------- .../math/base/special/acot/test/test.js | 24 +++++++------- 10 files changed, 38 insertions(+), 35 deletions(-) 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 index f3326077a5c5..be9e5f691395 100644 --- 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 @@ -1 +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/huge_positive.json b/lib/node_modules/@stdlib/math/base/special/acot/test/fixtures/julia/huge_positive.json index 23c8fef7c52b..63de6049ec3c 100644 --- 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 @@ -1 +1 @@ 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\ No newline at end of file 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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 index 94b04ac20ee7..d2e26dd8f46c 100644 --- 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 @@ -1 +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 index 5e9452e579ca..63e3fa584c2e 100644 --- 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 @@ -1 +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 index 34881d4f3bf1..bafb2564fa87 100644 --- 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 @@ -1 +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_positive.json b/lib/node_modules/@stdlib/math/base/special/acot/test/fixtures/julia/larger_positive.json index 477d2fc95f00..50e4cf2d7e30 100644 --- 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 @@ -1 +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 index e1236dc042c7..4c5e79e5dda1 100644 --- 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 @@ -1 +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 index 52d26effe418..3ce6c03f8d02 100644 --- 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 @@ -1 +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 index ec0511782b24..236930d0c4fd 100755 --- 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 @@ -35,8 +35,10 @@ julia> x = linspace( -1000.0, 1000.0, 2001 ); julia> gen( x, \"data.json\" ); ``` """ -function gen( x, name ) - y = acot( x ); +function gen(range, name) + + x = collect(range) + y = acot.(x) # Store data to be written to file as a collection: data = Dict([ @@ -45,48 +47,49 @@ function gen( x, name ) ]); # Based on the script directory, create an output filepath: - filepath = joinpath( dir, name ); + filepath = joinpath(dir, name); # Write the data to the output filepath as JSON: - outfile = open( filepath, "w" ); - write( outfile, JSON.json(data) ); - close( outfile ); + 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 ); +dir = dirname(file); # Positive medium values: -x = linspace( 1.1, 3.0, 503 ); +x = range(1.1, stop=3.0, length=503); + gen( x, "medium_positive.json" ); # Large positive values: -x = linspace( 3.0, 28.0, 503 ); +x = range(3.0, stop=28.0, length=503); gen( x, "large_positive.json" ); # Larger positive values: -x = linspace( 28.0, 100.0, 503 ); +x = range(28.0, stop=100.0, length=503); gen( x, "larger_positive.json" ); # Huge positive values: -x = linspace( 1.0e300, 1.0e308, 1003 ); +x = range(1.0e300, stop=1.0e308, length=1003); gen( x, "huge_positive.json" ); # Negative medium values: -x = linspace( -1.1, -3.0, 503 ); +x = range(-1.1, stop=-3.0, length=503); gen( x, "medium_negative.json" ); # Large negative values: -x = linspace( -3.0, -28.0, 503 ); +x = range(-3.0, stop=-28.0, length=503); gen( x, "large_negative.json" ); # Larger negative values: -x = linspace( -28.0, -100.0, 503 ); +x = range(-28.0, stop=-100.0, length=503); gen( x, "larger_negative.json" ); # Huge negative values: -x = linspace( -1.0e300, -1.0e308, 1003 ); +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 index 29dda52b976f..9074c0ea7585 100644 --- a/lib/node_modules/@stdlib/math/base/special/acot/test/test.js +++ b/lib/node_modules/@stdlib/math/base/special/acot/test/test.js @@ -25,7 +25,7 @@ var isnan = require( '@stdlib/math/base/assert/is-nan' ); var randu = require( '@stdlib/random/base/randu' ); var EPS = require( '@stdlib/constants/math/float64-eps' ); var abs = require( '@stdlib/math/base/special/abs' ); -var acoth = require( './../lib' ); +var acot = require( './../lib' ); // FIXTURES // @@ -44,7 +44,7 @@ var hugeNegative = require( './fixtures/julia/huge_negative.json' ); tape( 'main export is a function', function test( t ) { t.ok( true, __filename ); - t.true( typeof acoth, 'function', 'main export is a function' ); + t.true( typeof acot, 'function', 'main export is a function' ); t.end(); }); @@ -59,7 +59,7 @@ tape( 'the function computes the inverse hyperbolic cotangent for medium positiv x = mediumPositive.x; expected = mediumPositive.expected; for ( i = 0; i < x.length; i++ ) { - y = acoth( x[ i ] ); + y = acot( x[ i ] ); if ( y === expected[ i ] ) { t.equal( y, expected[ i ], 'x: '+x[i]+'. E: '+expected[i]+'.' ); } else { @@ -82,7 +82,7 @@ tape( 'the function computes the inverse hyperbolic cotangent for medium negativ x = mediumNegative.x; expected = mediumNegative.expected; for ( i = 0; i < x.length; i++ ) { - y = acoth( x[ i ] ); + y = acot( x[ i ] ); if ( y === expected[ i ] ) { t.equal( y, expected[ i ], 'x: '+x[i]+'. E: '+expected[i]+'.' ); } else { @@ -105,7 +105,7 @@ tape( 'the function computes the inverse hyperbolic cotangent for large positive x = largePositive.x; expected = largePositive.expected; for ( i = 0; i < x.length; i++ ) { - y = acoth( x[ i ] ); + y = acot( x[ i ] ); if ( y === expected[ i ] ) { t.equal( y, expected[ i ], 'x: '+x[i]+'. E: '+expected[i]+'.' ); } else { @@ -128,7 +128,7 @@ tape( 'the function computes the inverse hyperbolic cotangent for large negative x = largeNegative.x; expected = largeNegative.expected; for ( i = 0; i < x.length; i++ ) { - y = acoth( x[ i ] ); + y = acot( x[ i ] ); if ( y === expected[ i ] ) { t.equal( y, expected[ i ], 'x: '+x[i]+'. E: '+expected[i]+'.' ); } else { @@ -151,7 +151,7 @@ tape( 'the function computes the inverse hyperbolic cotangent for larger positiv x = largerPositive.x; expected = largerPositive.expected; for ( i = 0; i < x.length; i++ ) { - y = acoth( x[ i ] ); + y = acot( x[ i ] ); if ( y === expected[ i ] ) { t.equal( y, expected[ i ], 'x: '+x[i]+'. E: '+expected[i]+'.' ); } else { @@ -174,7 +174,7 @@ tape( 'the function computes the inverse hyperbolic cotangent for larger negativ x = largerNegative.x; expected = largerNegative.expected; for ( i = 0; i < x.length; i++ ) { - y = acoth( x[ i ] ); + y = acot( x[ i ] ); if ( y === expected[ i ] ) { t.equal( y, expected[ i ], 'x: '+x[i]+'. E: '+expected[i]+'.' ); } else { @@ -197,7 +197,7 @@ tape( 'the function computes the inverse hyperbolic cotangent for huge positive x = hugePositive.x; expected = hugePositive.expected; for ( i = 0; i < x.length; i++ ) { - y = acoth( x[ i ] ); + y = acot( x[ i ] ); if ( y === expected[ i ] ) { t.equal( y, expected[ i ], 'x: '+x[i]+'. E: '+expected[i]+'.' ); } else { @@ -220,7 +220,7 @@ tape( 'the function computes the inverse hyperbolic cotangent for huge negative x = hugeNegative.x; expected = hugeNegative.expected; for ( i = 0; i < x.length; i++ ) { - y = acoth( x[ i ] ); + y = acot( x[ i ] ); if ( y === expected[ i ] ) { t.equal( y, expected[ i ], 'x: '+x[i]+'. E: '+expected[i]+'.' ); } else { @@ -233,7 +233,7 @@ tape( 'the function computes the inverse hyperbolic cotangent for huge negative }); tape( 'the function returns `NaN` if provided `NaN`', function test( t ) { - var v = acoth( NaN ); + var v = acot( NaN ); t.equal( isnan( v ), true, 'returns NaN' ); t.end(); }); @@ -244,7 +244,7 @@ tape( 'the function returns `NaN` if provided a value on the open interval (-1,1 for ( i = 0; i < 1e3; i++ ) { v = (randu() * 0.99) - 0.99; - t.equal( isnan( acoth( v ) ), true, 'returns NaN when provided '+v ); + t.equal( isnan( acot( v ) ), true, 'returns NaN when provided '+v ); } t.end(); }); From bb154496ba3bf0aae865159e794bfdfe0bf3a740 Mon Sep 17 00:00:00 2001 From: JithinKS97 Date: Tue, 23 Jun 2020 12:22:06 +0530 Subject: [PATCH 05/10] removed unwanted test case --- .../math/base/special/acot/test/test.js | 26 ++++++------------- 1 file changed, 8 insertions(+), 18 deletions(-) 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 index 9074c0ea7585..fb917968e045 100644 --- a/lib/node_modules/@stdlib/math/base/special/acot/test/test.js +++ b/lib/node_modules/@stdlib/math/base/special/acot/test/test.js @@ -48,7 +48,7 @@ tape( 'main export is a function', function test( t ) { t.end(); }); -tape( 'the function computes the inverse hyperbolic cotangent for medium positive values', function test( t ) { +tape( 'the function computes the inverse cotangent for medium positive values', function test( t ) { var expected; var delta; var tol; @@ -71,7 +71,7 @@ tape( 'the function computes the inverse hyperbolic cotangent for medium positiv t.end(); }); -tape( 'the function computes the inverse hyperbolic cotangent for medium negative values', function test( t ) { +tape( 'the function computes the inverse cotangent for medium negative values', function test( t ) { var expected; var delta; var tol; @@ -94,7 +94,7 @@ tape( 'the function computes the inverse hyperbolic cotangent for medium negativ t.end(); }); -tape( 'the function computes the inverse hyperbolic cotangent for large positive values', function test( t ) { +tape( 'the function computes the inverse cotangent for large positive values', function test( t ) { var expected; var delta; var tol; @@ -117,7 +117,7 @@ tape( 'the function computes the inverse hyperbolic cotangent for large positive t.end(); }); -tape( 'the function computes the inverse hyperbolic cotangent for large negative values', function test( t ) { +tape( 'the function computes the inverse cotangent for large negative values', function test( t ) { var expected; var delta; var tol; @@ -140,7 +140,7 @@ tape( 'the function computes the inverse hyperbolic cotangent for large negative t.end(); }); -tape( 'the function computes the inverse hyperbolic cotangent for larger positive values', function test( t ) { +tape( 'the function computes the inverse cotangent for larger positive values', function test( t ) { var expected; var delta; var tol; @@ -163,7 +163,7 @@ tape( 'the function computes the inverse hyperbolic cotangent for larger positiv t.end(); }); -tape( 'the function computes the inverse hyperbolic cotangent for larger negative values', function test( t ) { +tape( 'the function computes the inverse cotangent for larger negative values', function test( t ) { var expected; var delta; var tol; @@ -186,7 +186,7 @@ tape( 'the function computes the inverse hyperbolic cotangent for larger negativ t.end(); }); -tape( 'the function computes the inverse hyperbolic cotangent for huge positive values', function test( t ) { +tape( 'the function computes the inverse cotangent for huge positive values', function test( t ) { var expected; var delta; var tol; @@ -209,7 +209,7 @@ tape( 'the function computes the inverse hyperbolic cotangent for huge positive t.end(); }); -tape( 'the function computes the inverse hyperbolic cotangent for huge negative values', function test( t ) { +tape( 'the function computes the inverse cotangent for huge negative values', function test( t ) { var expected; var delta; var tol; @@ -238,13 +238,3 @@ tape( 'the function returns `NaN` if provided `NaN`', function test( t ) { t.end(); }); -tape( 'the function returns `NaN` if provided a value on the open interval (-1,1)', function test( t ) { - var v; - var i; - - for ( i = 0; i < 1e3; i++ ) { - v = (randu() * 0.99) - 0.99; - t.equal( isnan( acot( v ) ), true, 'returns NaN when provided '+v ); - } - t.end(); -}); From 8bd1963b463b53b0121aa24056167796f9ea69b4 Mon Sep 17 00:00:00 2001 From: JithinKS97 Date: Tue, 23 Jun 2020 12:40:07 +0530 Subject: [PATCH 06/10] updated docs --- .../@stdlib/math/base/special/acot/README.md | 34 +++++++---------- .../base/special/acot/benchmark/benchmark.js | 2 +- .../base/special/acot/docs/types/index.d.ts | 32 +++++++++------- .../math/base/special/acot/docs/types/test.ts | 22 +++++------ .../math/base/special/acot/examples/index.js | 4 +- .../math/base/special/acot/lib/index.js | 37 +++++++++++-------- .../math/base/special/acot/test/test.js | 4 +- 7 files changed, 68 insertions(+), 67 deletions(-) diff --git a/lib/node_modules/@stdlib/math/base/special/acot/README.md b/lib/node_modules/@stdlib/math/base/special/acot/README.md index 5397efe3bf2e..8c8de2f78299 100644 --- a/lib/node_modules/@stdlib/math/base/special/acot/README.md +++ b/lib/node_modules/@stdlib/math/base/special/acot/README.md @@ -18,39 +18,31 @@ limitations under the License. --> -# acoth +# acot -> Compute the [inverse hyperbolic cotangent][hyperbolic-arctangent] of a number. +> Compute the [inverse cotangent][arctangent] of a number.
## Usage ```javascript -var acoth = require( '@stdlib/math/base/special/acoth' ); +var acot = require( '@stdlib/math/base/special/acot' ); ``` -#### acoth( x ) +#### acot( x ) -Computes the [inverse hyperbolic cotangent][hyperbolic-arctangent] of a `number` (in radians). +Computes the [inverse cotangent][arctangent] of a `number` (in radians). ```javascript -var v = acoth( 2.0 ); -// returns ~0.5493 +var v = acot( 2.0 ); +// returns ~0.4636 -v = acoth( 1.0 ); -// returns Infinity +v = acot( Infinity ); +// returns 0 ``` -The domain of the inverse hyperbolic cotangent is the union of the intervals `(-inf,-1]` and `[1,inf)`. If provided a value on the open interval `(-1,1)`, the function returns `NaN`. - -```javascript -var v = acoth( 0.0 ); -// returns NaN - -v = acoth( 0.5 ); -// returns NaN -``` +The domain of the inverse cotangent is `(-inf, inf)`.
@@ -64,13 +56,13 @@ v = acoth( 0.5 ); ```javascript var linspace = require( '@stdlib/math/utils/linspace' ); -var acoth = require( '@stdlib/math/base/special/acoth' ); +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( acoth( x[ i ] ) ); + console.log( acot( x[ i ] ) ); } ``` @@ -80,7 +72,7 @@ for ( i = 0; i < x.length; i++ ) {
-[hyperbolic-arctangent]: https://en.wikipedia.org/wiki/Inverse_hyperbolic_function +[arctangent]: 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 index 6f58e3d61f1f..004b36fed4c0 100644 --- a/lib/node_modules/@stdlib/math/base/special/acot/benchmark/benchmark.js +++ b/lib/node_modules/@stdlib/math/base/special/acot/benchmark/benchmark.js @@ -37,7 +37,7 @@ bench( pkg, function benchmark( b ) { b.tic(); for ( i = 0; i < b.iterations; i++ ) { x = ( randu()*100.0 ) + 1.1; - y = acoth( x ); + y = acot( x ); if ( isnan( y ) ) { b.fail( 'should not return NaN' ); } 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 index 71c8d3bad561..8078d74e69a5 100644 --- 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 @@ -19,34 +19,38 @@ // TypeScript Version: 2.0 /** -* Computes the inverse hyperbolic cotangent of a number. +* Computes the inverse cotangent of a number. * -* @param x - input value -* @returns inverse hyperbolic cotangent (in radians) +* @param {number} x - input value +* @returns {number} inverse cotangent (in radians) * * @example -* var v = acoth( 2.0 ); -* // returns ~0.5493 +* var v = acot( 2.0 ); +* // returns ~0.4636 * * @example -* var v = acoth( 0.0 ); -* // returns NaN +* var v = acot( 0.0 ); +* // returns ~1.5708 * * @example -* var v = acoth( 0.5 ); -* // returns NaN +* var v = acot( 0.5 ); +* // returns ~1.1071 * * @example -* var v = acoth( 1.0 ); -* // returns Infinity +* var v = acot( 1.0 ); +* // returns ~0.7854 * * @example -* var v = acoth( NaN ); +* var v = acot( NaN ); * // returns NaN +* +* @example +* var v = acot(Infinity) +* // returns 0 */ -declare function acoth( x: number ): number; +declare function acot( x: number ): number; // EXPORTS // -export = acoth; +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 index c5a81d31982c..100f726334cb 100644 --- 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 @@ -16,29 +16,29 @@ * limitations under the License. */ -import acoth = require( './index' ); +import acot = require( './index' ); // TESTS // // The function returns a number... { - acoth( 8 ); // $ExpectType number + acot( 8 ); // $ExpectType number } // The function does not compile if provided a value other than a number... { - acoth( true ); // $ExpectError - acoth( false ); // $ExpectError - acoth( null ); // $ExpectError - acoth( undefined ); // $ExpectError - acoth( '5' ); // $ExpectError - acoth( [] ); // $ExpectError - acoth( {} ); // $ExpectError - acoth( ( x: number ): number => x ); // $ExpectError + 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... { - acoth(); // $ExpectError + 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 index fc2a5e8eb981..487f6202ffa7 100644 --- a/lib/node_modules/@stdlib/math/base/special/acot/examples/index.js +++ b/lib/node_modules/@stdlib/math/base/special/acot/examples/index.js @@ -19,11 +19,11 @@ 'use strict'; var linspace = require( '@stdlib/math/utils/linspace' ); -var acoth = require( './../lib' ); +var acot = require( './../lib' ); var x = linspace( 1.0, 5.0, 100 ); var i; for ( i = 0; i < x.length; i++ ) { - console.log( 'acoth(%d) = %d', x[ i ], acoth( x[ 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 index a62e55ffc1e1..e89d10d31924 100644 --- a/lib/node_modules/@stdlib/math/base/special/acot/lib/index.js +++ b/lib/node_modules/@stdlib/math/base/special/acot/lib/index.js @@ -19,34 +19,41 @@ 'use strict'; /** -* Compute the hyperbolic arccosine of a number. +* Computes the inverse cotangent of a number. * -* @module @stdlib/math/base/special/acoth +* @param {number} x - input value +* @returns {number} inverse cotangent (in radians) * * @example -* var acoth = require( '@stdlib/math/base/special/acoth' ); +* var v = acot( 2.0 ); +* // returns ~0.4636 * -* var v = acoth( 2.0 ); -* // returns ~0.5493 -* -* v = acoth( 0.0 ); -* // returns NaN +* @example +* var v = acot( 0.0 ); +* // returns ~1.5708 * -* v = acoth( 0.5 ); -* // returns NaN +* @example +* var v = acot( 0.5 ); +* // returns ~1.1071 * -* v = acoth( 1.0 ); -* // returns Infinity +* @example +* var v = acot( 1.0 ); +* // returns ~0.7854 * -* v = acoth( NaN ); +* @example +* var v = acot( NaN ); * // returns NaN +* +* @example +* var v = acot(Infinity) +* // returns 0 */ // MODULES // -var acoth = require( './main.js' ); +var acot = require( './main.js' ); // EXPORTS // -module.exports = acoth; +module.exports = acot; 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 index fb917968e045..c57d0f63389f 100644 --- a/lib/node_modules/@stdlib/math/base/special/acot/test/test.js +++ b/lib/node_modules/@stdlib/math/base/special/acot/test/test.js @@ -22,7 +22,6 @@ var tape = require( 'tape' ); var isnan = require( '@stdlib/math/base/assert/is-nan' ); -var randu = require( '@stdlib/random/base/randu' ); var EPS = require( '@stdlib/constants/math/float64-eps' ); var abs = require( '@stdlib/math/base/special/abs' ); var acot = require( './../lib' ); @@ -236,5 +235,4 @@ 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 From 652b51cc4f68505d3104e622cd534ad768fe3e6b Mon Sep 17 00:00:00 2001 From: JithinKS97 Date: Tue, 23 Jun 2020 12:43:42 +0530 Subject: [PATCH 07/10] converted acoth to acot and atanh to atan in benchmark files --- .../@stdlib/math/base/special/acot/benchmark/benchmark.js | 2 +- .../math/base/special/acot/benchmark/c/benchmark.c | 6 +++--- .../math/base/special/acot/benchmark/julia/benchmark.jl | 2 +- .../math/base/special/acot/benchmark/python/benchmark.py | 8 ++++---- .../math/base/special/acot/benchmark/r/DESCRIPTION | 2 +- .../math/base/special/acot/benchmark/r/benchmark.R | 4 ++-- 6 files changed, 12 insertions(+), 12 deletions(-) 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 index 004b36fed4c0..67475a2da67b 100644 --- a/lib/node_modules/@stdlib/math/base/special/acot/benchmark/benchmark.js +++ b/lib/node_modules/@stdlib/math/base/special/acot/benchmark/benchmark.js @@ -24,7 +24,7 @@ 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 acoth = require( './../lib' ); +var acot = require( './../lib' ); // MAIN // 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 index 72e910f8153b..0b04a4402cf6 100644 --- 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 @@ -17,14 +17,14 @@ */ /** -* Benchmark `acoth`. +* Benchmark `acot`. */ #include #include #include #include -#define NAME "acoth" +#define NAME "acot" #define ITERATIONS 1000000 #define REPEATS 3 @@ -100,7 +100,7 @@ double benchmark() { t = tic(); for ( i = 0; i < ITERATIONS; i++ ) { x = ( 100.0*rand_double() ) + 1.1; - y = atanh( 1.0/x ); + y = atan( 1.0/x ); if ( y != y ) { printf( "should not return NaN\n" ); break; 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 index 9bdab609c104..54ad3e93713b 100755 --- 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 @@ -19,7 +19,7 @@ import BenchmarkTools # Benchmark variables: -name = "acoth"; +name = "acot"; repeats = 3; """ 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 index 5014ca678c83..864f1468de5d 100755 --- 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 @@ -16,12 +16,12 @@ # See the License for the specific language governing permissions and # limitations under the License. -"""Benchmark acoth.""" +"""Benchmark acot.""" from __future__ import print_function import timeit -NAME = "acoth" +NAME = "acot" REPEATS = 3 ITERATIONS = 1000000 @@ -72,8 +72,8 @@ def print_results(elapsed): def benchmark(): """Run the benchmark and print benchmark results.""" - setup = "from math import atanh; from random import random;" - stmt = "y = atanh(1.0 / ((100.0*random()) + 1.1))" + 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) 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 index d309fb28ec36..ec712c61b12d 100644 --- a/lib/node_modules/@stdlib/math/base/special/acot/benchmark/r/DESCRIPTION +++ b/lib/node_modules/@stdlib/math/base/special/acot/benchmark/r/DESCRIPTION @@ -1,4 +1,4 @@ -Package: acoth-benchmarks +Package: acot-benchmarks Title: Benchmarks Version: 0.0.0 Authors@R: person("stdlib", "js", role = c("aut","cre")) 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 index 138d84f022f6..f8e2591f101f 100755 --- 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 @@ -25,7 +25,7 @@ options( digits = 16 ); #' main(); main <- function() { # Define benchmark parameters: - name <- "acoth"; + name <- "acot"; iterations <- 1000000L; repeats <- 3; @@ -85,7 +85,7 @@ main <- function() { #' elapsed <- benchmark( 10000L ); benchmark <- function( iterations ) { # Run the benchmarks: - results <- microbenchmark::microbenchmark( atanh( 1.0 / ( (100.0*runif(1)) + 1.1 ) ), times = iterations ); + 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 ); From a65288bb2289f4399a0067adf897ec6a8ab501c5 Mon Sep 17 00:00:00 2001 From: JithinKS97 Date: Tue, 23 Jun 2020 12:48:55 +0530 Subject: [PATCH 08/10] updated repl doc --- .../@stdlib/math/base/special/acot/README.md | 10 +++++++++- .../special/acot/benchmark/julia/benchmark.jl | 2 +- .../math/base/special/acot/docs/repl.txt | 17 +++++++---------- .../@stdlib/math/base/special/acot/lib/main.js | 2 +- .../special/acot/test/fixtures/julia/runner.jl | 10 +++++----- 5 files changed, 23 insertions(+), 18 deletions(-) diff --git a/lib/node_modules/@stdlib/math/base/special/acot/README.md b/lib/node_modules/@stdlib/math/base/special/acot/README.md index 8c8de2f78299..8e751df875f2 100644 --- a/lib/node_modules/@stdlib/math/base/special/acot/README.md +++ b/lib/node_modules/@stdlib/math/base/special/acot/README.md @@ -42,7 +42,15 @@ v = acot( Infinity ); // returns 0 ``` -The domain of the inverse cotangent is `(-inf, inf)`. +The domain of the inverse cotangent is `(-inf, inf)` and range is `(-π/2,π/2]`. + +```javascript +var v = acot( 100.00 ); +// returns ~0.0099 + +v = acot( -200.00 ); +// returns ~-0.0049 +``` 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 index 54ad3e93713b..e7826aa5ef0b 100755 --- 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 @@ -106,7 +106,7 @@ julia> out = benchmark(); ``` """ function benchmark() - t = BenchmarkTools.@benchmark acoth( (100.0*rand()) + 1.1 ) samples=1e6 + 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; 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 index f67227cf0721..c40ac1498b60 100644 --- a/lib/node_modules/@stdlib/math/base/special/acot/docs/repl.txt +++ b/lib/node_modules/@stdlib/math/base/special/acot/docs/repl.txt @@ -1,11 +1,8 @@ {{alias}}( x ) - Computes the inverse hyperbolic cotangent of a number. + Computes the inverse cotangent of a number. - The domain of the inverse hyperbolic cotangent is the union of the intervals - (-inf,-1] and [1,inf). - - If provided a value on the open interval (-1,1), the function returns `NaN`. + The domain of the inverse cotangent is (-inf, inf) Parameters ---------- @@ -15,18 +12,18 @@ Returns ------- y: number - Inverse hyperbolic cotangent (in radians). + Inverse cotangent (in radians). Examples -------- > var y = {{alias}}( 2.0 ) - ~0.5493 + ~0.4636 > y = {{alias}}( 0.0 ) - NaN + ~1.5708 > y = {{alias}}( 0.5 ) - NaN + ~1.1071 > y = {{alias}}( 1.0 ) - Infinity + ~0.7854 > y = {{alias}}( NaN ) NaN 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 index bb14eca24ef6..aa20a694b645 100644 --- a/lib/node_modules/@stdlib/math/base/special/acot/lib/main.js +++ b/lib/node_modules/@stdlib/math/base/special/acot/lib/main.js @@ -56,7 +56,7 @@ var atan = require( '@stdlib/math/base/special/atan' ); * // returns 0 */ function acot( x ) { - return atan( 1.0/x ); + return atan( 1.0/ x ); } // EXPORTS // 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 index 236930d0c4fd..8c498bb9ca35 100755 --- 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 @@ -19,25 +19,25 @@ import JSON """ - gen( x, name ) + gen( domain, name ) Generate fixture data and write to file. # Arguments -* `x`: domain +* `domain`: domain * `name::AbstractString`: output filename # Examples ``` julia -julia> x = linspace( -1000.0, 1000.0, 2001 ); +julia> domain = range( -1000.0, 1000.0, 2001 ); julia> gen( x, \"data.json\" ); ``` """ -function gen(range, name) +function gen(domain, name) - x = collect(range) + x = collect(domain) y = acot.(x) # Store data to be written to file as a collection: From a08cd5aa73c72146dcd13416be7414eabf67ea64 Mon Sep 17 00:00:00 2001 From: JithinKS97 Date: Wed, 24 Jun 2020 06:43:18 +0530 Subject: [PATCH 09/10] Edited domain of function in docs --- .../@stdlib/math/base/special/acot/README.md | 8 +++--- .../math/base/special/acot/docs/repl.txt | 2 +- .../acot/test/fixtures/julia/runner.jl | 26 +++++++++---------- 3 files changed, 18 insertions(+), 18 deletions(-) diff --git a/lib/node_modules/@stdlib/math/base/special/acot/README.md b/lib/node_modules/@stdlib/math/base/special/acot/README.md index 8e751df875f2..c7c602c8742d 100644 --- a/lib/node_modules/@stdlib/math/base/special/acot/README.md +++ b/lib/node_modules/@stdlib/math/base/special/acot/README.md @@ -20,7 +20,7 @@ limitations under the License. # acot -> Compute the [inverse cotangent][arctangent] of a number. +> Compute the [inverse cotangent][arccotangent] of a number.
@@ -32,7 +32,7 @@ var acot = require( '@stdlib/math/base/special/acot' ); #### acot( x ) -Computes the [inverse cotangent][arctangent] of a `number` (in radians). +Computes the [inverse cotangent][arccotangent] of a `number` (in radians). ```javascript var v = acot( 2.0 ); @@ -42,7 +42,7 @@ v = acot( Infinity ); // returns 0 ``` -The domain of the inverse cotangent is `(-inf, inf)` and range is `(-π/2,π/2]`. +The domain of the inverse cotangent is `R` and range is `(-π/2,π/2]`. ```javascript var v = acot( 100.00 ); @@ -80,7 +80,7 @@ for ( i = 0; i < x.length; i++ ) {
-[arctangent]: https://en.wikipedia.org/wiki/Inverse_trigonometric_functions +[arccotangent]: https://en.wikipedia.org/wiki/Inverse_trigonometric_functions
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 index c40ac1498b60..f902a1247945 100644 --- a/lib/node_modules/@stdlib/math/base/special/acot/docs/repl.txt +++ b/lib/node_modules/@stdlib/math/base/special/acot/docs/repl.txt @@ -2,7 +2,7 @@ {{alias}}( x ) Computes the inverse cotangent of a number. - The domain of the inverse cotangent is (-inf, inf) + The domain of the inverse cotangent is R and range is (-π/2,π/2] Parameters ---------- 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 index 8c498bb9ca35..a918a590886f 100755 --- 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 @@ -35,7 +35,7 @@ julia> domain = range( -1000.0, 1000.0, 2001 ); julia> gen( x, \"data.json\" ); ``` """ -function gen(domain, name) +function gen( domain, name ) x = collect(domain) y = acot.(x) @@ -47,12 +47,12 @@ function gen(domain, name) ]); # Based on the script directory, create an output filepath: - filepath = joinpath(dir, name); + filepath = joinpath( dir, name ); # Write the data to the output filepath as JSON: - outfile = open(filepath, "w"); - write(outfile, JSON.json(data)); - close(outfile); + outfile = open( filepath, "w" ); + write( outfile, JSON.json(data) ); + close( outfile ); end # Get the filename: @@ -62,34 +62,34 @@ file = @__FILE__; dir = dirname(file); # Positive medium values: -x = range(1.1, stop=3.0, length=503); +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); +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); +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); +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); +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); +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); +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); +x = range( -1.0e300, stop=-1.0e308, length=1003 ); gen( x, "huge_negative.json" ); From 5b3a58d9d8eed31769fab6dae82e61aa24c9fa1a Mon Sep 17 00:00:00 2001 From: JithinKS97 Date: Thu, 25 Jun 2020 08:12:34 +0530 Subject: [PATCH 10/10] updated version in REQUIRE in test and benchmark --- .../base/special/acot/benchmark/c/benchmark.c | 1 + .../base/special/acot/benchmark/julia/REQUIRE | 4 +-- .../special/acot/benchmark/julia/benchmark.jl | 28 +++++++++---------- .../special/acot/test/fixtures/julia/REQUIRE | 4 +-- 4 files changed, 19 insertions(+), 18 deletions(-) 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 index 0b04a4402cf6..c72c4c91dce1 100644 --- 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 @@ -23,6 +23,7 @@ #include #include #include +#include #define NAME "acot" #define ITERATIONS 1000000 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 index 11b2b096cae4..5e9ea1707d69 100644 --- a/lib/node_modules/@stdlib/math/base/special/acot/benchmark/julia/REQUIRE +++ b/lib/node_modules/@stdlib/math/base/special/acot/benchmark/julia/REQUIRE @@ -1,2 +1,2 @@ -julia 0.5 -BenchmarkTools 0.0.8 +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 index e7826aa5ef0b..7862ac4b0a07 100755 --- 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 @@ -34,7 +34,7 @@ julia> print_version() ``` """ function print_version() - @printf( "TAP version 13\n" ); + print( "TAP version 13\n" ); end """ @@ -54,12 +54,12 @@ julia> print_summary( 3, 3 ) ``` """ function print_summary( total, 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" ); + 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 """ @@ -81,11 +81,11 @@ julia> print_results( 1000000, 0.131009101868 ) function print_results( iterations, elapsed ) rate = iterations / elapsed - @printf( " ---\n" ); - @printf( " iterations: %d\n", iterations ); - @printf( " elapsed: %0.9f\n", elapsed ); - @printf( " rate: %0.9f\n", rate ); - @printf( " ...\n" ); + print( " ---\n" ); + print( " iterations: %d\n", iterations ); + print( " elapsed: %0.9f\n", elapsed ); + print( " rate: %0.9f\n", rate ); + print( " ...\n" ); end """ @@ -132,10 +132,10 @@ julia> main(); function main() print_version(); for i in 1:repeats - @printf( "# julia::%s\n", name ); + print( "# julia::%s\n", name ); results = benchmark(); print_results( results[ 1 ], results[ 2 ] ); - @printf( "ok %d benchmark finished\n", i ); + print( "ok %d benchmark finished\n", i ); end print_summary( repeats, repeats ); end 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 index becfcba22e9e..7c8193c06e65 100644 --- 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 @@ -1,2 +1,2 @@ -julia 0.5 -JSON 0.5 +julia 1.4.2 +JSON 0.21.0