From 5f619568c6396a657deebc88d91d7169a2c2d0a1 Mon Sep 17 00:00:00 2001 From: stdlib-bot Date: Fri, 19 Apr 2024 10:17:35 +0000 Subject: [PATCH] Auto-generated commit --- base/special/rcbrtf/README.md | 209 ++++++++ base/special/rcbrtf/benchmark/benchmark.js | 51 ++ .../rcbrtf/benchmark/benchmark.native.js | 60 +++ .../rcbrtf/benchmark/c/native/Makefile | 146 ++++++ .../rcbrtf/benchmark/c/native/benchmark.c | 136 +++++ base/special/rcbrtf/binding.gyp | 170 +++++++ base/special/rcbrtf/docs/repl.txt | 33 ++ base/special/rcbrtf/docs/types/index.d.ts | 56 +++ base/special/rcbrtf/docs/types/test.ts | 44 ++ base/special/rcbrtf/examples/c/Makefile | 146 ++++++ base/special/rcbrtf/examples/c/example.c | 31 ++ base/special/rcbrtf/examples/index.js | 29 ++ base/special/rcbrtf/include.gypi | 53 ++ .../include/stdlib/math/base/special/rcbrtf.h | 41 ++ base/special/rcbrtf/lib/index.js | 55 ++ base/special/rcbrtf/lib/main.js | 67 +++ base/special/rcbrtf/lib/native.js | 66 +++ base/special/rcbrtf/manifest.json | 72 +++ base/special/rcbrtf/package.json | 69 +++ base/special/rcbrtf/src/Makefile | 70 +++ base/special/rcbrtf/src/addon.c | 23 + base/special/rcbrtf/src/main.c | 35 ++ .../rcbrtf/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/medium_negative.json | 1 + .../test/fixtures/julia/medium_positive.json | 1 + .../rcbrtf/test/fixtures/julia/runner.jl | 120 +++++ .../test/fixtures/julia/small_negative.json | 1 + .../test/fixtures/julia/small_positive.json | 1 + .../rcbrtf/test/fixtures/julia/smaller.json | 1 + .../rcbrtf/test/fixtures/julia/subnormal.json | 1 + .../test/fixtures/julia/tiny_negative.json | 1 + .../test/fixtures/julia/tiny_positive.json | 1 + .../fixtures/julia/very_large_negative.json | 1 + .../fixtures/julia/very_large_positive.json | 1 + base/special/rcbrtf/test/test.js | 462 +++++++++++++++++ base/special/rcbrtf/test/test.native.js | 471 ++++++++++++++++++ 40 files changed, 2731 insertions(+) create mode 100644 base/special/rcbrtf/README.md create mode 100644 base/special/rcbrtf/benchmark/benchmark.js create mode 100644 base/special/rcbrtf/benchmark/benchmark.native.js create mode 100644 base/special/rcbrtf/benchmark/c/native/Makefile create mode 100644 base/special/rcbrtf/benchmark/c/native/benchmark.c create mode 100644 base/special/rcbrtf/binding.gyp create mode 100644 base/special/rcbrtf/docs/repl.txt create mode 100644 base/special/rcbrtf/docs/types/index.d.ts create mode 100644 base/special/rcbrtf/docs/types/test.ts create mode 100644 base/special/rcbrtf/examples/c/Makefile create mode 100644 base/special/rcbrtf/examples/c/example.c create mode 100644 base/special/rcbrtf/examples/index.js create mode 100644 base/special/rcbrtf/include.gypi create mode 100644 base/special/rcbrtf/include/stdlib/math/base/special/rcbrtf.h create mode 100644 base/special/rcbrtf/lib/index.js create mode 100644 base/special/rcbrtf/lib/main.js create mode 100644 base/special/rcbrtf/lib/native.js create mode 100644 base/special/rcbrtf/manifest.json create mode 100644 base/special/rcbrtf/package.json create mode 100644 base/special/rcbrtf/src/Makefile create mode 100644 base/special/rcbrtf/src/addon.c create mode 100644 base/special/rcbrtf/src/main.c create mode 100644 base/special/rcbrtf/test/fixtures/julia/REQUIRE create mode 100644 base/special/rcbrtf/test/fixtures/julia/huge_negative.json create mode 100644 base/special/rcbrtf/test/fixtures/julia/huge_positive.json create mode 100644 base/special/rcbrtf/test/fixtures/julia/large_negative.json create mode 100644 base/special/rcbrtf/test/fixtures/julia/large_positive.json create mode 100644 base/special/rcbrtf/test/fixtures/julia/medium_negative.json create mode 100644 base/special/rcbrtf/test/fixtures/julia/medium_positive.json create mode 100644 base/special/rcbrtf/test/fixtures/julia/runner.jl create mode 100644 base/special/rcbrtf/test/fixtures/julia/small_negative.json create mode 100644 base/special/rcbrtf/test/fixtures/julia/small_positive.json create mode 100644 base/special/rcbrtf/test/fixtures/julia/smaller.json create mode 100644 base/special/rcbrtf/test/fixtures/julia/subnormal.json create mode 100644 base/special/rcbrtf/test/fixtures/julia/tiny_negative.json create mode 100644 base/special/rcbrtf/test/fixtures/julia/tiny_positive.json create mode 100644 base/special/rcbrtf/test/fixtures/julia/very_large_negative.json create mode 100644 base/special/rcbrtf/test/fixtures/julia/very_large_positive.json create mode 100644 base/special/rcbrtf/test/test.js create mode 100644 base/special/rcbrtf/test/test.native.js diff --git a/base/special/rcbrtf/README.md b/base/special/rcbrtf/README.md new file mode 100644 index 000000000..d49d3919e --- /dev/null +++ b/base/special/rcbrtf/README.md @@ -0,0 +1,209 @@ + + +# rcbrtf + +> Compute the reciprocal of the principal [cube root][cube-root] of a single-precision floating-point number. + +
+ +The reciprocal of the principal [cube root][cube-root] is defined as + + + +```math +\mathop{\mathrm{rcbrt}}(x)=\frac{1}{\sqrt[3]{x}} +``` + + + + + +
+ + + +
+ +## Usage + +```javascript +var rcbrtf = require( '@stdlib/math/base/special/rcbrtf' ); +``` + +#### rcbrtf( x ) + +Computes the reciprocal cube root of a single-precision floating-point number. + +```javascript +var v = rcbrtf( 1.0 ); +// returns 1.0 + +v = rcbrtf( 8.0 ); +// returns 0.5 + +v = rcbrtf( 1000.0 ); +// returns ~0.1 + +v = rcbrtf( 0.0 ); +// returns Infinity + +v = rcbrtf( NaN ); +// returns NaN + +v = rcbrtf( Infinity ); +// returns 0.0 +``` + +
+ + + +
+ +## Examples + + + +```javascript +var discreteUniform = require( '@stdlib/random/base/discrete-uniform' ); +var rcbrtf = require( '@stdlib/math/base/special/rcbrtf' ); + +var x; +var i; +for ( i = 0; i < 100; i++ ) { + x = discreteUniform( 0.0, 100.0 ); + console.log( 'rcbrtf(%d) = %d', x, rcbrtf( x ) ); +} +``` + +
+ + + + + +* * * + +
+ +## C APIs + + + +
+ +
+ + + + + +
+ +### Usage + +```c +#include "stdlib/math/base/special/rcbrtf.h" +``` + +#### stdlib_base_rcbrtf( x ) + +Computes the reciprocal [cube root][cube-root] of a single-precision floating-point number. + +```c +float y = stdlib_base_rcbrtf( 8.0f ); +// returns 0.5f +``` + +The function accepts the following arguments: + +- **x**: `[in] float` input value. + +```c +float stdlib_base_rcbrtf( const float x ); +``` + +
+ + + + + +
+ +
+ + + + + +
+ +### Examples + +```c +#include "stdlib/math/base/special/rcbrtf.h" +#include + +int main( void ) { + const float x[] = { 3.14f, 9.0f, 0.0f, 0.0f / 0.0f }; + + float y; + int i; + for ( i = 0; i < 4; i++ ) { + y = stdlib_base_rcbrtf( x[ i ] ); + printf( "rcbrt(%f) = %f\n", x[ i ], y ); + } +} +``` + +
+ + + +
+ + + + + + + + + + + + + + diff --git a/base/special/rcbrtf/benchmark/benchmark.js b/base/special/rcbrtf/benchmark/benchmark.js new file mode 100644 index 000000000..0bb10fbe7 --- /dev/null +++ b/base/special/rcbrtf/benchmark/benchmark.js @@ -0,0 +1,51 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2024 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +'use strict'; + +// MODULES // + +var bench = require( '@stdlib/bench' ); +var randu = require( '@stdlib/random/base/randu' ); +var isnanf = require( './../../../../base/assert/is-nanf' ); +var pkg = require( './../package.json' ).name; +var rcbrtf = 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() * 100000.0 ) - 0.0; + y = rcbrtf( x ); + if ( isnanf( y ) ) { + b.fail( 'should not return NaN' ); + } + } + b.toc(); + if ( isnanf( y ) ) { + b.fail( 'should not return NaN' ); + } + b.pass( 'benchmark finished' ); + b.end(); +}); diff --git a/base/special/rcbrtf/benchmark/benchmark.native.js b/base/special/rcbrtf/benchmark/benchmark.native.js new file mode 100644 index 000000000..acdf96fbb --- /dev/null +++ b/base/special/rcbrtf/benchmark/benchmark.native.js @@ -0,0 +1,60 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2024 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +'use strict'; + +// MODULES // + +var resolve = require( 'path' ).resolve; +var bench = require( '@stdlib/bench' ); +var randu = require( '@stdlib/random/base/randu' ); +var isnanf = require( './../../../../base/assert/is-nanf' ); +var tryRequire = require( '@stdlib/utils/try-require' ); +var pkg = require( './../package.json' ).name; + + +// VARIABLES // + +var rcbrtf = tryRequire( resolve( __dirname, './../lib/native.js' ) ); +var opts = { + 'skip': ( rcbrtf instanceof Error ) +}; + + +// MAIN // + +bench( pkg+'::native', opts, function benchmark( b ) { + var x; + var y; + var i; + + b.tic(); + for ( i = 0; i < b.iterations; i++ ) { + x = ( randu() * 100000.0 ) - 0.0; + y = rcbrtf( x ); + if ( isnanf( y ) ) { + b.fail( 'should not return NaN' ); + } + } + b.toc(); + if ( isnanf( y ) ) { + b.fail( 'should not return NaN' ); + } + b.pass( 'benchmark finished' ); + b.end(); +}); diff --git a/base/special/rcbrtf/benchmark/c/native/Makefile b/base/special/rcbrtf/benchmark/c/native/Makefile new file mode 100644 index 000000000..f69e9da2b --- /dev/null +++ b/base/special/rcbrtf/benchmark/c/native/Makefile @@ -0,0 +1,146 @@ +#/ +# @license Apache-2.0 +# +# Copyright (c) 2024 The Stdlib Authors. +# +# Licensed under the Apache License, Version 2.0 (the "License"); +# you may not use this file except in compliance with the License. +# You may obtain a copy of the License at +# +# http://www.apache.org/licenses/LICENSE-2.0 +# +# Unless required by applicable law or agreed to in writing, software +# distributed under the License is distributed on an "AS IS" BASIS, +# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +# See the License for the specific language governing permissions and +# limitations under the License. +#/ + +# VARIABLES # + +ifndef VERBOSE + QUIET := @ +else + QUIET := +endif + +# Determine the OS ([1][1], [2][2]). +# +# [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 +else +ifneq (, $(findstring Windows_NT,$(OS))) + OS := WINNT +endif +endif +endif +endif + +# Define the program used for compiling C source files: +ifdef C_COMPILER + CC := $(C_COMPILER) +else + CC := gcc +endif + +# Define the command-line options when compiling C files: +CFLAGS ?= \ + -std=c99 \ + -O3 \ + -Wall \ + -pedantic + +# Determine whether to generate position independent code ([1][1], [2][2]). +# +# [1]: https://gcc.gnu.org/onlinedocs/gcc/Code-Gen-Options.html#Code-Gen-Options +# [2]: http://stackoverflow.com/questions/5311515/gcc-fpic-option +ifeq ($(OS), WINNT) + fPIC ?= +else + fPIC ?= -fPIC +endif + +# List of includes (e.g., `-I /foo/bar -I /beep/boop/include`): +INCLUDE ?= + +# List of source files: +SOURCE_FILES ?= + +# List of libraries (e.g., `-lopenblas -lpthread`): +LIBRARIES ?= + +# List of library paths (e.g., `-L /foo/bar -L /beep/boop`): +LIBPATH ?= + +# List of C targets: +c_targets := benchmark.out + + +# RULES # + +#/ +# Compiles source files. +# +# @param {string} [C_COMPILER] - C compiler (e.g., `gcc`) +# @param {string} [CFLAGS] - C compiler options +# @param {(string|void)} [fPIC] - compiler flag determining whether to generate position independent code (e.g., `-fPIC`) +# @param {string} [INCLUDE] - list of includes (e.g., `-I /foo/bar -I /beep/boop/include`) +# @param {string} [SOURCE_FILES] - list of source files +# @param {string} [LIBPATH] - list of library paths (e.g., `-L /foo/bar -L /beep/boop`) +# @param {string} [LIBRARIES] - list of libraries (e.g., `-lopenblas -lpthread`) +# +# @example +# make +# +# @example +# make all +#/ +all: $(c_targets) + +.PHONY: all + +#/ +# Compiles C source files. +# +# @private +# @param {string} CC - C compiler (e.g., `gcc`) +# @param {string} CFLAGS - C compiler options +# @param {(string|void)} fPIC - compiler flag determining whether to generate position independent code (e.g., `-fPIC`) +# @param {string} INCLUDE - list of includes (e.g., `-I /foo/bar`) +# @param {string} SOURCE_FILES - list of source files +# @param {string} LIBPATH - list of library paths (e.g., `-L /foo/bar`) +# @param {string} LIBRARIES - list of libraries (e.g., `-lopenblas`) +#/ +$(c_targets): %.out: %.c + $(QUIET) $(CC) $(CFLAGS) $(fPIC) $(INCLUDE) -o $@ $(SOURCE_FILES) $< $(LIBPATH) -lm $(LIBRARIES) + +#/ +# Runs compiled benchmarks. +# +# @example +# make run +#/ +run: $(c_targets) + $(QUIET) ./$< + +.PHONY: run + +#/ +# Removes generated files. +# +# @example +# make clean +#/ +clean: + $(QUIET) -rm -f *.o *.out + +.PHONY: clean diff --git a/base/special/rcbrtf/benchmark/c/native/benchmark.c b/base/special/rcbrtf/benchmark/c/native/benchmark.c new file mode 100644 index 000000000..14d76b88f --- /dev/null +++ b/base/special/rcbrtf/benchmark/c/native/benchmark.c @@ -0,0 +1,136 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2024 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +/** +* Benchmark `rcbrtf`. +*/ +#include "stdlib/math/base/special/rcbrtf.h" +#include +#include +#include +#include +#include + +#define NAME "rcbrtf" +#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 number on the interval [0,1]. +* +* @return random number +*/ +float rand_float() { + int r = rand(); + return (float)r / ( (float)RAND_MAX + 1.0f ); +} + +/** +* Runs a benchmark. +* +* @return elapsed time in seconds +*/ +double benchmark() { + double elapsed; + double t; + float x; + float y; + int i; + + t = tic(); + for ( i = 0; i < ITERATIONS; i++ ) { + x = rand_float() * 100000.0f; + y = stdlib_base_rcbrtf( 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::native::%s\n", NAME ); + elapsed = benchmark(); + print_results( elapsed ); + printf( "ok %d benchmark finished\n", i+1 ); + } + print_summary( REPEATS, REPEATS ); +} diff --git a/base/special/rcbrtf/binding.gyp b/base/special/rcbrtf/binding.gyp new file mode 100644 index 000000000..ec3992233 --- /dev/null +++ b/base/special/rcbrtf/binding.gyp @@ -0,0 +1,170 @@ +# @license Apache-2.0 +# +# Copyright (c) 2024 The Stdlib Authors. +# +# Licensed under the Apache License, Version 2.0 (the "License"); +# you may not use this file except in compliance with the License. +# You may obtain a copy of the License at +# +# http://www.apache.org/licenses/LICENSE-2.0 +# +# Unless required by applicable law or agreed to in writing, software +# distributed under the License is distributed on an "AS IS" BASIS, +# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +# See the License for the specific language governing permissions and +# limitations under the License. + +# A `.gyp` file for building a Node.js native add-on. +# +# [1]: https://gyp.gsrc.io/docs/InputFormatReference.md +# [2]: https://gyp.gsrc.io/docs/UserDocumentation.md +{ + # List of files to include in this file: + 'includes': [ + './include.gypi', + ], + + # Define variables to be used throughout the configuration for all targets: + 'variables': { + # Target name should match the add-on export name: + 'addon_target_name%': 'addon', + + # Set variables based on the host OS: + 'conditions': [ + [ + 'OS=="win"', + { + # Define the object file suffix: + 'obj': 'obj', + }, + { + # Define the object file suffix: + 'obj': 'o', + } + ], # end condition (OS=="win") + ], # end conditions + }, # end variables + + # Define compile targets: + 'targets': [ + + # Target to generate an add-on: + { + # The target name should match the add-on export name: + 'target_name': '<(addon_target_name)', + + # Define dependencies: + 'dependencies': [], + + # Define directories which contain relevant include headers: + 'include_dirs': [ + # Local include directory: + '<@(include_dirs)', + ], + + # List of source files: + 'sources': [ + '<@(src_files)', + ], + + # Settings which should be applied when a target's object files are used as linker input: + 'link_settings': { + # Define libraries: + 'libraries': [ + '<@(libraries)', + ], + + # Define library directories: + 'library_dirs': [ + '<@(library_dirs)', + ], + }, + + # C/C++ compiler flags: + 'cflags': [ + # Enable commonly used warning options: + '-Wall', + + # Aggressive optimization: + '-O3', + ], + + # C specific compiler flags: + 'cflags_c': [ + # Specify the C standard to which a program is expected to conform: + '-std=c99', + ], + + # C++ specific compiler flags: + 'cflags_cpp': [ + # Specify the C++ standard to which a program is expected to conform: + '-std=c++11', + ], + + # Linker flags: + 'ldflags': [], + + # Apply conditions based on the host OS: + 'conditions': [ + [ + 'OS=="mac"', + { + # Linker flags: + 'ldflags': [ + '-undefined dynamic_lookup', + '-Wl,-no-pie', + '-Wl,-search_paths_first', + ], + }, + ], # end condition (OS=="mac") + [ + 'OS!="win"', + { + # C/C++ flags: + 'cflags': [ + # Generate platform-independent code: + '-fPIC', + ], + }, + ], # end condition (OS!="win") + ], # end conditions + }, # end target <(addon_target_name) + + # Target to copy a generated add-on to a standard location: + { + 'target_name': 'copy_addon', + + # Declare that the output of this target is not linked: + 'type': 'none', + + # Define dependencies: + 'dependencies': [ + # Require that the add-on be generated before building this target: + '<(addon_target_name)', + ], + + # Define a list of actions: + 'actions': [ + { + 'action_name': 'copy_addon', + 'message': 'Copying addon...', + + # Explicitly list the inputs in the command-line invocation below: + 'inputs': [], + + # Declare the expected outputs: + 'outputs': [ + '<(addon_output_dir)/<(addon_target_name).node', + ], + + # Define the command-line invocation: + 'action': [ + 'cp', + '<(PRODUCT_DIR)/<(addon_target_name).node', + '<(addon_output_dir)/<(addon_target_name).node', + ], + }, + ], # end actions + }, # end target copy_addon + ], # end targets +} diff --git a/base/special/rcbrtf/docs/repl.txt b/base/special/rcbrtf/docs/repl.txt new file mode 100644 index 000000000..57b170f07 --- /dev/null +++ b/base/special/rcbrtf/docs/repl.txt @@ -0,0 +1,33 @@ + +{{alias}}( x ) + Computes the reciprocal cube root of a single-precision floating-point + number. + + Parameters + ---------- + x: number + Input value. + + Returns + ------- + y: number + Reciprocal cube root. + + Examples + -------- + > var y = {{alias}}( 8.0 ) + 0.5 + > y = {{alias}}( 1000.0 ) + ~0.1 + > y = {{alias}}( 0.0 ) + Infinity + > y = {{alias}}( {{alias:@stdlib/constants/float64/pinf}} ) + 0.0 + > y = {{alias}}( -8.0 ) + -0.5 + > y = {{alias}}( NaN ) + NaN + + See Also + -------- + diff --git a/base/special/rcbrtf/docs/types/index.d.ts b/base/special/rcbrtf/docs/types/index.d.ts new file mode 100644 index 000000000..487b00923 --- /dev/null +++ b/base/special/rcbrtf/docs/types/index.d.ts @@ -0,0 +1,56 @@ +/* +* @license Apache-2.0 +* +* Copyright (c) 2024 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +// TypeScript Version: 4.1 + +/** +* Computes the reciprocal cube root of a single-precision floating-point number. +* +* @param x - input value +* @returns reciprocal cube root of `x` +* +* @example +* var v = rcbrtf( 8.0 ); +* // returns 0.5 +* +* @example +* var v = rcbrtf( 1000.0 ); +* // returns ~0.1 +* +* @example +* var v = rcbrtf( 0.0 ); +* // returns Infinity +* +* @example +* var v = rcbrtf( Infinity ); +* // returns 0.0 +* +* @example +* var v = rcbrtf( -8.0 ); +* // returns -0.5 +* +* @example +* var v = rcbrtf( NaN ); +* // returns NaN +*/ +declare function rcbrtf( x: number ): number; + + +// EXPORTS // + +export = rcbrtf; diff --git a/base/special/rcbrtf/docs/types/test.ts b/base/special/rcbrtf/docs/types/test.ts new file mode 100644 index 000000000..58f6d9f6c --- /dev/null +++ b/base/special/rcbrtf/docs/types/test.ts @@ -0,0 +1,44 @@ +/* +* @license Apache-2.0 +* +* Copyright (c) 2024 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +import rcbrtf = require( './index' ); + + +// TESTS // + +// The function returns a number... +{ + rcbrtf( 2 ); // $ExpectType number +} + +// The compiler throws an error if the function is provided a value other than a number... +{ + rcbrtf( true ); // $ExpectError + rcbrtf( false ); // $ExpectError + rcbrtf( null ); // $ExpectError + rcbrtf( undefined ); // $ExpectError + rcbrtf( '5' ); // $ExpectError + rcbrtf( [] ); // $ExpectError + rcbrtf( {} ); // $ExpectError + rcbrtf( ( x: number ): number => x ); // $ExpectError +} + +// The compiler throws an error if the function is provided insufficient arguments... +{ + rcbrtf(); // $ExpectError +} diff --git a/base/special/rcbrtf/examples/c/Makefile b/base/special/rcbrtf/examples/c/Makefile new file mode 100644 index 000000000..6aed70daf --- /dev/null +++ b/base/special/rcbrtf/examples/c/Makefile @@ -0,0 +1,146 @@ +#/ +# @license Apache-2.0 +# +# Copyright (c) 2024 The Stdlib Authors. +# +# Licensed under the Apache License, Version 2.0 (the "License"); +# you may not use this file except in compliance with the License. +# You may obtain a copy of the License at +# +# http://www.apache.org/licenses/LICENSE-2.0 +# +# Unless required by applicable law or agreed to in writing, software +# distributed under the License is distributed on an "AS IS" BASIS, +# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +# See the License for the specific language governing permissions and +# limitations under the License. +#/ + +# VARIABLES # + +ifndef VERBOSE + QUIET := @ +else + QUIET := +endif + +# Determine the OS ([1][1], [2][2]). +# +# [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 +else +ifneq (, $(findstring Windows_NT,$(OS))) + OS := WINNT +endif +endif +endif +endif + +# Define the program used for compiling C source files: +ifdef C_COMPILER + CC := $(C_COMPILER) +else + CC := gcc +endif + +# Define the command-line options when compiling C files: +CFLAGS ?= \ + -std=c99 \ + -O3 \ + -Wall \ + -pedantic + +# Determine whether to generate position independent code ([1][1], [2][2]). +# +# [1]: https://gcc.gnu.org/onlinedocs/gcc/Code-Gen-Options.html#Code-Gen-Options +# [2]: http://stackoverflow.com/questions/5311515/gcc-fpic-option +ifeq ($(OS), WINNT) + fPIC ?= +else + fPIC ?= -fPIC +endif + +# List of includes (e.g., `-I /foo/bar -I /beep/boop/include`): +INCLUDE ?= + +# List of source files: +SOURCE_FILES ?= + +# List of libraries (e.g., `-lopenblas -lpthread`): +LIBRARIES ?= + +# List of library paths (e.g., `-L /foo/bar -L /beep/boop`): +LIBPATH ?= + +# List of C targets: +c_targets := example.out + + +# RULES # + +#/ +# Compiles source files. +# +# @param {string} [C_COMPILER] - C compiler (e.g., `gcc`) +# @param {string} [CFLAGS] - C compiler options +# @param {(string|void)} [fPIC] - compiler flag determining whether to generate position independent code (e.g., `-fPIC`) +# @param {string} [INCLUDE] - list of includes (e.g., `-I /foo/bar -I /beep/boop/include`) +# @param {string} [SOURCE_FILES] - list of source files +# @param {string} [LIBPATH] - list of library paths (e.g., `-L /foo/bar -L /beep/boop`) +# @param {string} [LIBRARIES] - list of libraries (e.g., `-lopenblas -lpthread`) +# +# @example +# make +# +# @example +# make all +#/ +all: $(c_targets) + +.PHONY: all + +#/ +# Compiles C source files. +# +# @private +# @param {string} CC - C compiler (e.g., `gcc`) +# @param {string} CFLAGS - C compiler options +# @param {(string|void)} fPIC - compiler flag determining whether to generate position independent code (e.g., `-fPIC`) +# @param {string} INCLUDE - list of includes (e.g., `-I /foo/bar`) +# @param {string} SOURCE_FILES - list of source files +# @param {string} LIBPATH - list of library paths (e.g., `-L /foo/bar`) +# @param {string} LIBRARIES - list of libraries (e.g., `-lopenblas`) +#/ +$(c_targets): %.out: %.c + $(QUIET) $(CC) $(CFLAGS) $(fPIC) $(INCLUDE) -o $@ $(SOURCE_FILES) $< $(LIBPATH) -lm $(LIBRARIES) + +#/ +# Runs compiled examples. +# +# @example +# make run +#/ +run: $(c_targets) + $(QUIET) ./$< + +.PHONY: run + +#/ +# Removes generated files. +# +# @example +# make clean +#/ +clean: + $(QUIET) -rm -f *.o *.out + +.PHONY: clean diff --git a/base/special/rcbrtf/examples/c/example.c b/base/special/rcbrtf/examples/c/example.c new file mode 100644 index 000000000..04830731d --- /dev/null +++ b/base/special/rcbrtf/examples/c/example.c @@ -0,0 +1,31 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2024 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +#include "stdlib/math/base/special/rcbrtf.h" +#include + +int main( void ) { + const float x[] = { 3.14f, 9.0f, 0.0f, 0.0f / 0.0f }; + + float y; + int i; + for ( i = 0; i < 4; i++ ) { + y = stdlib_base_rcbrtf( x[ i ] ); + printf( "rcbrt(%f) = %f\n", x[ i ], y ); + } +} diff --git a/base/special/rcbrtf/examples/index.js b/base/special/rcbrtf/examples/index.js new file mode 100644 index 000000000..3bae8de19 --- /dev/null +++ b/base/special/rcbrtf/examples/index.js @@ -0,0 +1,29 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2024 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +'use strict'; + +var discreteUniform = require( '@stdlib/random/base/discrete-uniform' ); +var rcbrtf = require( './../lib' ); + +var x; +var i; +for ( i = 0; i < 100; i++ ) { + x = discreteUniform( 0.0, 100.0 ); + console.log( 'rcbrtf(%d) = %d', x, rcbrtf( x ) ); +} diff --git a/base/special/rcbrtf/include.gypi b/base/special/rcbrtf/include.gypi new file mode 100644 index 000000000..575cb043c --- /dev/null +++ b/base/special/rcbrtf/include.gypi @@ -0,0 +1,53 @@ +# @license Apache-2.0 +# +# Copyright (c) 2024 The Stdlib Authors. +# +# Licensed under the Apache License, Version 2.0 (the "License"); +# you may not use this file except in compliance with the License. +# You may obtain a copy of the License at +# +# http://www.apache.org/licenses/LICENSE-2.0 +# +# Unless required by applicable law or agreed to in writing, software +# distributed under the License is distributed on an "AS IS" BASIS, +# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +# See the License for the specific language governing permissions and +# limitations under the License. + +# A GYP include file for building a Node.js native add-on. +# +# Main documentation: +# +# [1]: https://gyp.gsrc.io/docs/InputFormatReference.md +# [2]: https://gyp.gsrc.io/docs/UserDocumentation.md +{ + # Define variables to be used throughout the configuration for all targets: + 'variables': { + # Source directory: + 'src_dir': './src', + + # Include directories: + 'include_dirs': [ + '=0.10.0", + "npm": ">2.7.0" + }, + "os": [ + "aix", + "darwin", + "freebsd", + "linux", + "macos", + "openbsd", + "sunos", + "win32", + "windows" + ], + "keywords": [ + "stdlib", + "stdmath", + "mathematics", + "math", + "math.cbrt", + "rcbrt", + "principal", + "cube", + "root", + "power", + "number", + "reciprocal", + "inverse" + ] +} diff --git a/base/special/rcbrtf/src/Makefile b/base/special/rcbrtf/src/Makefile new file mode 100644 index 000000000..bcf18aa46 --- /dev/null +++ b/base/special/rcbrtf/src/Makefile @@ -0,0 +1,70 @@ +#/ +# @license Apache-2.0 +# +# Copyright (c) 2024 The Stdlib Authors. +# +# Licensed under the Apache License, Version 2.0 (the "License"); +# you may not use this file except in compliance with the License. +# You may obtain a copy of the License at +# +# http://www.apache.org/licenses/LICENSE-2.0 +# +# Unless required by applicable law or agreed to in writing, software +# distributed under the License is distributed on an "AS IS" BASIS, +# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +# See the License for the specific language governing permissions and +# limitations under the License. +#/ + +# VARIABLES # + +ifndef VERBOSE + QUIET := @ +else + QUIET := +endif + +# Determine the OS ([1][1], [2][2]). +# +# [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 +else +ifneq (, $(findstring Windows_NT,$(OS))) + OS := WINNT +endif +endif +endif +endif + + +# RULES # + +#/ +# Removes generated files for building an add-on. +# +# @example +# make clean-addon +#/ +clean-addon: + $(QUIET) -rm -f *.o *.node + +.PHONY: clean-addon + +#/ +# Removes generated files. +# +# @example +# make clean +#/ +clean: clean-addon + +.PHONY: clean diff --git a/base/special/rcbrtf/src/addon.c b/base/special/rcbrtf/src/addon.c new file mode 100644 index 000000000..90e721228 --- /dev/null +++ b/base/special/rcbrtf/src/addon.c @@ -0,0 +1,23 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2024 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +#include "stdlib/math/base/special/rcbrtf.h" +#include "stdlib/math/base/napi/unary.h" + +// cppcheck-suppress shadowFunction +STDLIB_MATH_BASE_NAPI_MODULE_F_F( stdlib_base_rcbrtf ) diff --git a/base/special/rcbrtf/src/main.c b/base/special/rcbrtf/src/main.c new file mode 100644 index 000000000..8cf8f3968 --- /dev/null +++ b/base/special/rcbrtf/src/main.c @@ -0,0 +1,35 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2024 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +#include "stdlib/math/base/special/rcbrtf.h" +#include "stdlib/math/base/special/cbrt.h" + +/** +* Computes the reciprocal cube root of a single-precision floating-point number. +* +* @param x number +* @return reciprocal cube root +* +* @example +* float y = stdlib_base_rcbrtf( 8.0f ); +* // returns 0.5f +*/ +float stdlib_base_rcbrtf( const float x ) { + // As the cube root is a fundamental numerical operation, compute in extend precision in order to avoid precision loss: + return 1.0f / stdlib_base_cbrt( x ); +} diff --git a/base/special/rcbrtf/test/fixtures/julia/REQUIRE b/base/special/rcbrtf/test/fixtures/julia/REQUIRE new file mode 100644 index 000000000..308c3be89 --- /dev/null +++ b/base/special/rcbrtf/test/fixtures/julia/REQUIRE @@ -0,0 +1,2 @@ +julia 1.5 +JSON 0.21 diff --git a/base/special/rcbrtf/test/fixtures/julia/huge_negative.json b/base/special/rcbrtf/test/fixtures/julia/huge_negative.json new file mode 100644 index 000000000..99133a593 --- /dev/null +++ b/base/special/rcbrtf/test/fixtures/julia/huge_negative.json @@ -0,0 +1 @@ +{"expected":[-2.1544346756396299e-7,-3.688930904619601e-9,-2.9279087717118372e-9,-2.557764662118514e-9,-2.3238837184623296e-9,-2.1573027434175883e-9,-2.0300997320881377e-9,-1.9284207101839173e-9,-1.8444681566756207e-9,-1.7734556194802418e-9,-1.7122525864224897e-9,-1.6587093158559494e-9,-1.6112914323943205e-9,-1.5688691744716972e-9,-1.5305887344723155e-9,-1.4957905025356277e-9,-1.4639554590861106e-9,-1.4346684853210782e-9,-1.4075928028206747e-9,-1.3824517983339566e-9,-1.359015904309593e-9,-1.3370924769415537e-9,-1.3165185303363012e-9,-1.2971551667788504e-9,-1.2788829560949775e-9,-1.2615986170176062e-9,-1.245212377678376e-9,-1.2296456029632147e-9,-1.2148291371857152e-9,-1.200701946982165e-9,-1.1872097819170477e-9,-1.1743043149948163e-9,-1.161942307559703e-9,-1.1500849125957994e-9,-1.1386971727636636e-9,-1.1277475113655025e-9,-1.1172071862873628e-9,-1.1070501838365859e-9,-1.0972527907895364e-9,-1.08779323341652e-9,-1.0786516713666103e-9,-1.0698098890989257e-9,-1.0612510334361946e-9,-1.052959661667521e-9,-1.044921508639668e-9,-1.0371232872547755e-9,-1.0295527657899466e-9,-1.0221985850965823e-9,-1.015050101034773e-9,-1.0080974769451639e-9,-1.0013315353615232e-9,-9.94743629459376e-10,-9.883257425923084e-10,-9.820703646270627e-10,-9.759703841613555e-10,-9.700191904126986e-10,-9.642105676834193e-10,-9.58538602911124e-10,-9.52997787157259e-10,-9.475829238055382e-10,-9.42289047751797e-10,-9.37111543869382e-10,-9.320459710380574e-10,-9.270881982452975e-10,-9.222342206733149e-10,-9.174803635856232e-10,-9.128230342071294e-10,-9.082588204574726e-10,-9.037845777798489e-10,-8.993972157973668e-10,-8.950937929480591e-10,-8.908716002606735e-10,-8.867279618018499e-10,-8.826603252462052e-10,-8.786663425232714e-10,-8.747436824168682e-10,-8.708901171871763e-10,-8.671036001063233e-10,-8.633820888584714e-10,-8.597236283771704e-10,-8.561264253438305e-10,-8.525886812588548e-10,-8.491086716808086e-10,-8.456848177952733e-10,-8.423155282015876e-10,-8.389992747492652e-10,-8.357346613028348e-10,-8.325202734277194e-10,-8.293547510194035e-10,-8.262368543982412e-10,-8.231653211903371e-10,-8.201389359397642e-10,-8.171565936694486e-10,-8.14217163344866e-10,-8.1131955465136e-10,-8.084627791554243e-10,-8.056458198151063e-10,-8.028676950946395e-10,-8.001275178562327e-10,-7.974243704446626e-10,-7.947573663009071e-10,-7.921257067089373e-10,-7.895285610356015e-10,-7.869651259943129e-10,-7.844346803649687e-10,-7.819364700158277e-10,-7.794697649578964e-10,-7.770339121494263e-10,-7.746282249655312e-10,-7.722520381739624e-10,-7.699047589289189e-10,-7.675857603878187e-10,-7.652944347297573e-10,-7.630302424367899e-10,-7.607926097864854e-10,-7.585809963146355e-10,-7.563948610305068e-10,-7.542337264299799e-10,-7.520970807772574e-10,-7.499844269797129e-10,-7.47895328220122e-10,-7.458293135746967e-10,-7.437859252749004e-10,-7.417647629105492e-10,-7.39765392186361e-10,-7.377874052335007e-10,-7.358303905809438e-10,-7.338939763511542e-10,-7.319778142718984e-10,-7.300814808050171e-10,-7.282046471579921e-10,-7.263469924981261e-10,-7.245081223806005e-10,-7.226877335974083e-10,-7.208855300963105e-10,-7.191011438402594e-10,-7.173342947601836e-10,-7.155847092330377e-10,-7.138520432470049e-10,-7.12136037705587e-10,-7.104364393301855e-10,-7.087529260147289e-10,-7.070852577111932e-10,-7.054331996321751e-10,-7.037964496869371e-10,-7.021747851626835e-10,-7.005679881116396e-10,-6.989757747680797e-10,-6.973979382252457e-10,-6.958342758996506e-10,-6.942845208355365e-10,-6.927484805641094e-10,-6.912259665452394e-10,-6.89716727272062e-10,-6.882205834870953e-10,-6.867373595082914e-10,-6.852668180522194e-10,-6.838087919705127e-10,-6.823631173734152e-10,-6.809295700952229e-10,-6.795079941042854e-10,-6.780982363428516e-10,-6.767000847632431e-10,-6.753133935552283e-10,-6.739380196261479e-10,-6.725737621407111e-10,-6.71220484700876e-10,-6.698780533949932e-10,-6.685462777781749e-10,-6.672250301317985e-10,-6.659141850147836e-10,-6.646135616252196e-10,-6.633230402592034e-10,-6.620425033013868e-10,-6.607717789120074e-10,-6.59510754797906e-10,-6.582593205831968e-10,-6.570173127690428e-10,-6.55784625923332e-10,-6.545611563757592e-10,-6.53346748400641e-10,-6.521413029258302e-10,-6.509447224996672e-10,-6.497568586498787e-10,-6.485776182068167e-10,-6.474069094926823e-10,-6.462445908121017e-10,-6.450905744796659e-10,-6.439447741845637e-10,-6.428070545707932e-10,-6.416773330542273e-10,-6.405555283183232e-10,-6.394415109441412e-10,-6.383352030977168e-10,-6.372365281148802e-10,-6.361453621433083e-10,-6.350616317768441e-10,-6.339852646896555e-10,-6.329161422544682e-10,-6.318541951966031e-10,-6.307993552397525e-10,-6.297515086663376e-10,-6.287105900604103e-10,-6.276765349292419e-10,-6.266492341734263e-10,-6.256286259844025e-10,-6.246146494078386e-10,-6.236071996926751e-10,-6.226062184058448e-10,-6.216116479051095e-10,-6.206233875377127e-10,-6.196413820318893e-10,-6.186655768483818e-10,-6.176958752007536e-10,-6.167322247804824e-10,-6.157745739578506e-10,-6.148228295972717e-10,-6.138769421701257e-10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diff --git a/base/special/rcbrtf/test/fixtures/julia/huge_positive.json b/base/special/rcbrtf/test/fixtures/julia/huge_positive.json new file mode 100644 index 000000000..ca9705c0e --- /dev/null +++ b/base/special/rcbrtf/test/fixtures/julia/huge_positive.json @@ -0,0 +1 @@ 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diff --git a/base/special/rcbrtf/test/fixtures/julia/large_negative.json b/base/special/rcbrtf/test/fixtures/julia/large_negative.json new file mode 100644 index 000000000..0f3afc6a9 --- /dev/null +++ b/base/special/rcbrtf/test/fixtures/julia/large_negative.json @@ -0,0 +1 @@ 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diff --git a/base/special/rcbrtf/test/fixtures/julia/large_positive.json b/base/special/rcbrtf/test/fixtures/julia/large_positive.json new file mode 100644 index 000000000..e2422a528 --- /dev/null +++ b/base/special/rcbrtf/test/fixtures/julia/large_positive.json @@ -0,0 +1 @@ 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diff --git a/base/special/rcbrtf/test/fixtures/julia/medium_negative.json b/base/special/rcbrtf/test/fixtures/julia/medium_negative.json new file mode 100644 index 000000000..2cc45ada1 --- /dev/null +++ b/base/special/rcbrtf/test/fixtures/julia/medium_negative.json @@ -0,0 +1 @@ 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diff --git a/base/special/rcbrtf/test/fixtures/julia/medium_positive.json b/base/special/rcbrtf/test/fixtures/julia/medium_positive.json new file mode 100644 index 000000000..64a5062f6 --- /dev/null +++ b/base/special/rcbrtf/test/fixtures/julia/medium_positive.json @@ -0,0 +1 @@ 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diff --git a/base/special/rcbrtf/test/fixtures/julia/runner.jl b/base/special/rcbrtf/test/fixtures/julia/runner.jl new file mode 100644 index 000000000..437d197f4 --- /dev/null +++ b/base/special/rcbrtf/test/fixtures/julia/runner.jl @@ -0,0 +1,120 @@ +#!/usr/bin/env julia +# +# @license Apache-2.0 +# +# Copyright (c) 2024 The Stdlib Authors. +# +# Licensed under the Apache License, Version 2.0 (the "License"); +# you may not use this file except in compliance with the License. +# You may obtain a copy of the License at +# +# http://www.apache.org/licenses/LICENSE-2.0 +# +# Unless required by applicable law or agreed to in writing, software +# distributed under the License is distributed on an "AS IS" BASIS, +# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +# See the License for the specific language governing permissions and +# limitations under the License. + +import JSON + +""" + gen( x, name ) + +Generate fixture data and write to file. + +# Arguments + +* `x`: domain +* `name::AbstractString`: output filename + +# Examples + +``` julia +julia> x = range( -1000, stop = 1000, length = 2001 ); +julia> gen( x, \"data.json\" ); +``` +""" +function gen( x, name ) + y = Array{Float64}( undef, length(x) ); + for i in eachindex(x) + y[ i ] = 1.0 / cbrt( Float64( Float32( x[ i ] ) ) ); + end + + # 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) ); + write( outfile, "\n" ); + close( outfile ); +end + +# Get the filename: +file = @__FILE__; + +# Extract the directory in which this file resides: +dir = dirname( file ); + +# Subnormal values: +x = range( 1.0e-38, stop = 1.0e-45, length = 5003 ); +gen( x, "subnormal.json" ); + +# Negative tiny values: +x = range( -1.0e-30, stop = -1.0e-38, length = 503 ); +gen( x, "tiny_negative.json" ); + +# Positive tiny values: +x = range( 1.0e-30, stop = 1.0e-38, length = 5003 ); +gen( x, "tiny_positive.json" ); + +# Small(er) values: +x = range( 0.01, stop = 0.8, length = 5003 ); +gen( x, "smaller.json" ); + +# Negative small values: +x = range( -0.8, stop = -3.0, length = 503 ); +gen( x, "small_negative.json" ); + +# Positive small values: +x = range( 0.8, stop = 3.0, length = 5003 ); +gen( x, "small_positive.json" ); + +# Negative medium values: +x = range( -3.0, stop = -20.0, length = 503 ); +gen( x, "medium_negative.json" ); + +# Positive medium values: +x = range( 3.0, stop = 20.0, length = 5003 ); +gen( x, "medium_positive.json" ); + +# Large negative values: +x = range( -50.0, stop = -20.0, length = 503 ); +gen( x, "large_negative.json" ); + +# Large positive values: +x = range( 20.0, stop = 50.0, length = 5003 ); +gen( x, "large_positive.json" ); + +# Very large negative values: +x = range( -50.0, stop = -500.0, length = 503 ); +gen( x, "very_large_negative.json" ); + +# Very large positive values: +x = range( 50.0, stop = 500.0, length = 5003 ); +gen( x, "very_large_positive.json" ); + +# Huge negative values: +x = range( -1.0e20, stop = -1.0e28, length = 503 ); +gen( x, "huge_negative.json" ); + +# Huge positive values: +x = range( 1.0e30, stop = 1.0e38, length = 5003 ); +gen( x, "huge_positive.json" ); diff --git a/base/special/rcbrtf/test/fixtures/julia/small_negative.json b/base/special/rcbrtf/test/fixtures/julia/small_negative.json new file mode 100644 index 000000000..388e9b83b --- /dev/null +++ b/base/special/rcbrtf/test/fixtures/julia/small_negative.json @@ -0,0 +1 @@ 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diff --git a/base/special/rcbrtf/test/fixtures/julia/small_positive.json b/base/special/rcbrtf/test/fixtures/julia/small_positive.json new file mode 100644 index 000000000..54928862b --- /dev/null +++ b/base/special/rcbrtf/test/fixtures/julia/small_positive.json @@ -0,0 +1 @@ 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diff --git a/base/special/rcbrtf/test/fixtures/julia/smaller.json b/base/special/rcbrtf/test/fixtures/julia/smaller.json new file mode 100644 index 000000000..d4bd52008 --- /dev/null +++ b/base/special/rcbrtf/test/fixtures/julia/smaller.json @@ -0,0 +1 @@ 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diff --git a/base/special/rcbrtf/test/fixtures/julia/subnormal.json b/base/special/rcbrtf/test/fixtures/julia/subnormal.json new file mode 100644 index 000000000..0140c6015 --- /dev/null +++ b/base/special/rcbrtf/test/fixtures/julia/subnormal.json @@ -0,0 +1 @@ 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diff --git a/base/special/rcbrtf/test/fixtures/julia/tiny_negative.json b/base/special/rcbrtf/test/fixtures/julia/tiny_negative.json new file mode 100644 index 000000000..218d0b009 --- /dev/null +++ b/base/special/rcbrtf/test/fixtures/julia/tiny_negative.json @@ -0,0 +1 @@ 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diff --git a/base/special/rcbrtf/test/fixtures/julia/tiny_positive.json b/base/special/rcbrtf/test/fixtures/julia/tiny_positive.json new file mode 100644 index 000000000..e92700347 --- /dev/null +++ b/base/special/rcbrtf/test/fixtures/julia/tiny_positive.json @@ -0,0 +1 @@ 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diff --git a/base/special/rcbrtf/test/fixtures/julia/very_large_negative.json b/base/special/rcbrtf/test/fixtures/julia/very_large_negative.json new file mode 100644 index 000000000..38b797a8c --- /dev/null +++ b/base/special/rcbrtf/test/fixtures/julia/very_large_negative.json @@ -0,0 +1 @@ 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diff --git a/base/special/rcbrtf/test/fixtures/julia/very_large_positive.json b/base/special/rcbrtf/test/fixtures/julia/very_large_positive.json new file mode 100644 index 000000000..59b2c7af9 --- /dev/null +++ b/base/special/rcbrtf/test/fixtures/julia/very_large_positive.json @@ -0,0 +1 @@ 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diff --git a/base/special/rcbrtf/test/test.js b/base/special/rcbrtf/test/test.js new file mode 100644 index 000000000..0e55c4928 --- /dev/null +++ b/base/special/rcbrtf/test/test.js @@ -0,0 +1,462 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2024 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +'use strict'; + +// MODULES // + +var tape = require( 'tape' ); +var isnanf = require( './../../../../base/assert/is-nanf' ); +var PINF = require( '@stdlib/constants/float32/pinf' ); +var NINF = require( '@stdlib/constants/float32/ninf' ); +var EPS = require( '@stdlib/constants/float32/eps' ); +var abs = require( './../../../../base/special/abs' ); +var float64ToFloat32 = require( '@stdlib/number/float64/base/to-float32' ); +var rcbrtf = require( './../lib' ); + + +// FIXTURES // + +var hugePositive = require( './fixtures/julia/huge_positive.json' ); +var veryLargePositive = require( './fixtures/julia/very_large_positive.json' ); +var largePositive = require( './fixtures/julia/large_positive.json' ); +var mediumPositive = require( './fixtures/julia/medium_positive.json' ); +var smallPositive = require( './fixtures/julia/small_positive.json' ); +var smaller = require( './fixtures/julia/smaller.json' ); +var tinyPositive = require( './fixtures/julia/tiny_positive.json' ); +var subnormal = require( './fixtures/julia/subnormal.json' ); +var hugeNegative = require( './fixtures/julia/huge_negative.json' ); +var veryLargeNegative = require( './fixtures/julia/very_large_negative.json' ); +var largeNegative = require( './fixtures/julia/large_negative.json' ); +var mediumNegative = require( './fixtures/julia/medium_negative.json' ); +var smallNegative = require( './fixtures/julia/small_negative.json' ); +var tinyNegative = require( './fixtures/julia/tiny_negative.json' ); + + +// TESTS // + +tape( 'main export is a function', function test( t ) { + t.ok( true, __filename ); + t.strictEqual( typeof rcbrtf, 'function', 'main export is a function' ); + t.end(); +}); + +tape( 'the function evaluates the reciprocal cube root of `x` on the interval `[50,500]`', function test( t ) { + var expected; + var delta; + var tol; + var x; + var y; + var i; + var e; + + expected = veryLargePositive.expected; + x = veryLargePositive.x; + for ( i = 0; i < x.length; i++ ) { + y = rcbrtf( x[ i ] ); + e = float64ToFloat32( expected[ i ] ); + if ( y === e ) { + t.equal( y, e, 'x: '+x[ i ]+', y: '+y+', expected: '+e ); + } else { + delta = abs( y - e ); + tol = EPS * abs( e ); + t.equal( delta <= tol, true, 'within tolerance. x: '+x[ i ]+'. y: '+y+'. E: '+e+'. Δ: '+delta+'. Tolerance: '+tol+'.' ); + } + } + t.end(); +}); + +tape( 'the function evaluates the reciprocal cube root of `x` on the interval `[20,50]`', function test( t ) { + var expected; + var delta; + var tol; + var x; + var y; + var i; + var e; + + expected = largePositive.expected; + x = largePositive.x; + for ( i = 0; i < x.length; i++ ) { + y = rcbrtf( x[ i ] ); + e = float64ToFloat32( expected[ i ] ); + if ( y === e ) { + t.equal( y, e, 'x: '+x[ i ]+', y: '+y+', expected: '+e ); + } else { + delta = abs( y - e ); + tol = EPS * abs( e ); + t.equal( delta <= tol, true, 'within tolerance. x: '+x[ i ]+'. y: '+y+'. E: '+e+'. Δ: '+delta+'. Tolerance: '+tol+'.' ); + } + } + t.end(); +}); + +tape( 'the function evaluates the reciprocal cube root of `x` on the interval `[3,20]`', function test( t ) { + var expected; + var delta; + var tol; + var x; + var y; + var i; + var e; + + expected = mediumPositive.expected; + x = mediumPositive.x; + for ( i = 0; i < x.length; i++ ) { + y = rcbrtf( x[ i ] ); + e = float64ToFloat32( expected[ i ] ); + if ( y === e ) { + t.equal( y, e, 'x: '+x[ i ]+', y: '+y+', expected: '+e ); + } else { + delta = abs( y - e ); + tol = EPS * abs( e ); + t.equal( delta <= tol, true, 'within tolerance. x: '+x[ i ]+'. y: '+y+'. E: '+e+'. Δ: '+delta+'. Tolerance: '+tol+'.' ); + } + } + t.end(); +}); + +tape( 'the function evaluates the reciprocal cube root of `x` on the interval `[0.8,3]`', function test( t ) { + var expected; + var delta; + var tol; + var x; + var y; + var i; + var e; + + expected = smallPositive.expected; + x = smallPositive.x; + for ( i = 0; i < x.length; i++ ) { + y = rcbrtf( x[ i ] ); + e = float64ToFloat32( expected[ i ] ); + if ( y === e ) { + t.equal( y, e, 'x: '+x[ i ]+', y: '+y+', expected: '+e ); + } else { + delta = abs( y - e ); + tol = EPS * abs( e ); + t.equal( delta <= tol, true, 'within tolerance. x: '+x[ i ]+'. y: '+y+'. E: '+e+'. Δ: '+delta+'. Tolerance: '+tol+'.' ); + } + } + t.end(); +}); + +tape( 'the function evaluates the reciprocal cube root of `x` on the interval `[0.0,0.8]`', function test( t ) { + var expected; + var delta; + var tol; + var x; + var y; + var i; + var e; + + expected = smaller.expected; + x = smaller.x; + for ( i = 0; i < x.length; i++ ) { + y = rcbrtf( x[ i ] ); + e = float64ToFloat32( expected[ i ] ); + if ( y === e ) { + t.equal( y, e, 'x: '+x[ i ]+', y: '+y+', expected: '+e ); + } else { + delta = abs( y - e ); + tol = EPS * abs( e ); + t.equal( delta <= tol, true, 'within tolerance. x: '+x[ i ]+'. y: '+y+'. E: '+e+'. Δ: '+delta+'. Tolerance: '+tol+'.' ); + } + } + t.end(); +}); + +tape( 'the function evaluates the reciprocal cube root of `x` on the interval `[1e-30,1e-38]`', function test( t ) { + var expected; + var delta; + var tol; + var x; + var y; + var i; + var e; + + expected = tinyPositive.expected; + x = tinyPositive.x; + for ( i = 0; i < x.length; i++ ) { + y = rcbrtf( x[ i ] ); + e = float64ToFloat32( expected[ i ] ); + if ( y === e ) { + t.equal( y, e, 'x: '+x[ i ]+', y: '+y+', expected: '+e ); + } else { + delta = abs( y - e ); + tol = EPS * abs( e ); + t.equal( delta <= tol, true, 'within tolerance. x: '+x[ i ]+'. y: '+y+'. E: '+e+'. Δ: '+delta+'. Tolerance: '+tol+'.' ); + } + } + t.end(); +}); + +tape( 'the function evaluates the reciprocal cube root of subnormal `x`', function test( t ) { + var expected; + var delta; + var tol; + var x; + var y; + var i; + var e; + + expected = subnormal.expected; + x = subnormal.x; + for ( i = 0; i < x.length; i++ ) { + y = rcbrtf( x[ i ] ); + e = float64ToFloat32( expected[ i ] ); + if ( y === e ) { + t.equal( y, e, 'x: '+x[ i ]+', y: '+y+', expected: '+e ); + } else { + delta = abs( y - e ); + tol = EPS * abs( e ); + t.equal( delta <= tol, true, 'within tolerance. x: '+x[ i ]+'. y: '+y+'. E: '+e+'. Δ: '+delta+'. Tolerance: '+tol+'.' ); + } + } + t.end(); +}); + +tape( 'the function evaluates the reciprocal cube root of `x` (huge positive)', function test( t ) { + var expected; + var delta; + var tol; + var x; + var y; + var i; + var e; + + expected = hugePositive.expected; + x = hugePositive.x; + for ( i = 0; i < x.length; i++ ) { + y = rcbrtf( x[ i ] ); + e = float64ToFloat32( expected[ i ] ); + if ( y === e ) { + t.equal( y, e, 'x: '+x[ i ]+', y: '+y+', expected: '+e ); + } else { + delta = abs( y - e ); + tol = EPS * abs( e ); + t.equal( delta <= tol, true, 'within tolerance. x: '+x[ i ]+'. y: '+y+'. E: '+e+'. Δ: '+delta+'. Tolerance: '+tol+'.' ); + } + } + t.end(); +}); + +tape( 'the function evaluates the reciprocal cube root of `x` (huge negative)', function test( t ) { + var expected; + var delta; + var tol; + var x; + var y; + var i; + var e; + + expected = hugeNegative.expected; + x = hugeNegative.x; + for ( i = 0; i < x.length; i++ ) { + y = rcbrtf( x[ i ] ); + e = float64ToFloat32( expected[ i ] ); + if ( y === e ) { + t.equal( y, e, 'x: '+x[ i ]+', y: '+y+', expected: '+e ); + } else { + delta = abs( y - e ); + tol = EPS * abs( e ); + t.equal( delta <= tol, true, 'within tolerance. x: '+x[ i ]+'. y: '+y+'. E: '+e+'. Δ: '+delta+'. Tolerance: '+tol+'.' ); + } + } + t.end(); +}); + +tape( 'the function evaluates the reciprocal cube root of `x` on the interval `[-50,-500]', function test( t ) { + var expected; + var delta; + var tol; + var x; + var y; + var i; + var e; + + expected = veryLargeNegative.expected; + x = veryLargeNegative.x; + for ( i = 0; i < x.length; i++ ) { + y = rcbrtf( x[ i ] ); + e = float64ToFloat32( expected[ i ] ); + if ( y === e ) { + t.equal( y, e, 'x: '+x[ i ]+', y: '+y+', expected: '+e ); + } else { + delta = abs( y - e ); + tol = EPS * abs( e ); + t.equal( delta <= tol, true, 'within tolerance. x: '+x[ i ]+'. y: '+y+'. E: '+e+'. Δ: '+delta+'. Tolerance: '+tol+'.' ); + } + } + t.end(); +}); + +tape( 'the function evaluates the reciprocal cube root of `x` on the interval `[-20,-50]`', function test( t ) { + var expected; + var delta; + var tol; + var x; + var y; + var i; + var e; + + expected = largeNegative.expected; + x = largeNegative.x; + for ( i = 0; i < x.length; i++ ) { + y = rcbrtf( x[ i ] ); + e = float64ToFloat32( expected[ i ] ); + if ( y === e ) { + t.equal( y, e, 'x: '+x[ i ]+', y: '+y+', expected: '+e ); + } else { + delta = abs( y - e ); + tol = EPS * abs( e ); + t.equal( delta <= tol, true, 'within tolerance. x: '+x[ i ]+'. y: '+y+'. E: '+e+'. Δ: '+delta+'. Tolerance: '+tol+'.' ); + } + } + t.end(); +}); + +tape( 'the function evaluates the reciprocal cube root of `x` on the interval `[-20,-3]`', function test( t ) { + var expected; + var delta; + var tol; + var x; + var y; + var i; + var e; + + expected = mediumNegative.expected; + x = mediumNegative.x; + for ( i = 0; i < x.length; i++ ) { + y = rcbrtf( x[ i ] ); + e = float64ToFloat32( expected[ i ] ); + if ( y === e ) { + t.equal( y, e, 'x: '+x[ i ]+', y: '+y+', expected: '+e ); + } else { + delta = abs( y - e ); + tol = EPS * abs( e ); + t.equal( delta <= tol, true, 'within tolerance. x: '+x[ i ]+'. y: '+y+'. E: '+e+'. Δ: '+delta+'. Tolerance: '+tol+'.' ); + } + } + t.end(); +}); + +tape( 'the function evaluates the reciprocal cube root of `x` on the interval `[-3,-0.8]`', function test( t ) { + var expected; + var delta; + var tol; + var x; + var y; + var i; + var e; + + expected = smallNegative.expected; + x = smallNegative.x; + for ( i = 0; i < x.length; i++ ) { + y = rcbrtf( x[ i ] ); + e = float64ToFloat32( expected[ i ] ); + if ( y === e ) { + t.equal( y, e, 'x: '+x[ i ]+', y: '+y+', expected: '+e ); + } else { + delta = abs( y - e ); + tol = EPS * abs( e ); + t.equal( delta <= tol, true, 'within tolerance. x: '+x[ i ]+'. y: '+y+'. E: '+e+'. Δ: '+delta+'. Tolerance: '+tol+'.' ); + } + } + t.end(); +}); + +tape( 'the function evaluates the reciprocal cube root of `x` on the interval `[-0.8,0.8]`', function test( t ) { + var expected; + var delta; + var tol; + var x; + var y; + var i; + var e; + + expected = smaller.expected; + x = smaller.x; + for ( i = 0; i < x.length; i++ ) { + y = rcbrtf( x[ i ] ); + e = float64ToFloat32( expected[ i ] ); + if ( y === e ) { + t.equal( y, e, 'x: '+x[ i ]+', y: '+y+', expected: '+e ); + } else { + delta = abs( y - e ); + tol = EPS * abs( e ); + t.equal( delta <= tol, true, 'within tolerance. x: '+x[ i ]+'. y: '+y+'. E: '+e+'. Δ: '+delta+'. Tolerance: '+tol+'.' ); + } + } + t.end(); +}); + +tape( 'the function evaluates the reciprocal cube root of `x` on the interval `[-1e-30,-1e-38]`', function test( t ) { + var expected; + var delta; + var tol; + var x; + var y; + var i; + var e; + + expected = tinyNegative.expected; + x = tinyNegative.x; + for ( i = 0; i < x.length; i++ ) { + y = rcbrtf( x[ i ] ); + e = float64ToFloat32( expected[ i ] ); + if ( y === e ) { + t.equal( y, e, 'x: '+x[ i ]+', y: '+y+', expected: '+e ); + } else { + delta = abs( y - e ); + tol = EPS * abs( e ); + t.equal( delta <= tol, true, 'within tolerance. x: '+x[ i ]+'. y: '+y+'. E: '+e+'. Δ: '+delta+'. Tolerance: '+tol+'.' ); + } + } + t.end(); +}); + +tape( 'the function returns `NaN` if provided `NaN`', function test( t ) { + var v = rcbrtf( NaN ); + t.equal( isnanf( v ), true, 'returns expected value' ); + t.end(); +}); + +tape( 'the function returns `0.0` if provided `+infinity`', function test( t ) { + var v = rcbrtf( PINF ); + t.equal( v, 0.0, 'returns 0.0' ); + t.end(); +}); + +tape( 'the function returns `+infinity` if provided `+0`', function test( t ) { + var v = rcbrtf( +0.0 ); + t.equal( v, PINF, 'returns +infinity' ); + t.end(); +}); + +tape( 'the function returns `-infinity` if provided `-0`', function test( t ) { + var v = rcbrtf( -0.0 ); + t.equal( v, NINF, 'returns -infinity' ); + t.end(); +}); + +tape( 'the function returns `0.0` if provided `-infinity`', function test( t ) { + var v = rcbrtf( NINF ); + t.equal( v, 0.0, 'returns 0.0' ); + t.end(); +}); diff --git a/base/special/rcbrtf/test/test.native.js b/base/special/rcbrtf/test/test.native.js new file mode 100644 index 000000000..49953ff36 --- /dev/null +++ b/base/special/rcbrtf/test/test.native.js @@ -0,0 +1,471 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2024 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +'use strict'; + +// MODULES // + +var resolve = require( 'path' ).resolve; +var tape = require( 'tape' ); +var isnanf = require( './../../../../base/assert/is-nanf' ); +var PINF = require( '@stdlib/constants/float32/pinf' ); +var NINF = require( '@stdlib/constants/float32/ninf' ); +var EPS = require( '@stdlib/constants/float32/eps' ); +var abs = require( './../../../../base/special/abs' ); +var float64ToFloat32 = require( '@stdlib/number/float64/base/to-float32' ); +var tryRequire = require( '@stdlib/utils/try-require' ); + + +// FIXTURES // + +var hugePositive = require( './fixtures/julia/huge_positive.json' ); +var veryLargePositive = require( './fixtures/julia/very_large_positive.json' ); +var largePositive = require( './fixtures/julia/large_positive.json' ); +var mediumPositive = require( './fixtures/julia/medium_positive.json' ); +var smallPositive = require( './fixtures/julia/small_positive.json' ); +var smaller = require( './fixtures/julia/smaller.json' ); +var tinyPositive = require( './fixtures/julia/tiny_positive.json' ); +var subnormal = require( './fixtures/julia/subnormal.json' ); +var hugeNegative = require( './fixtures/julia/huge_negative.json' ); +var veryLargeNegative = require( './fixtures/julia/very_large_negative.json' ); +var largeNegative = require( './fixtures/julia/large_negative.json' ); +var mediumNegative = require( './fixtures/julia/medium_negative.json' ); +var smallNegative = require( './fixtures/julia/small_negative.json' ); +var tinyNegative = require( './fixtures/julia/tiny_negative.json' ); + + +// VARIABLES // + +var rcbrtf = tryRequire( resolve( __dirname, './../lib/native.js' ) ); +var opts = { + 'skip': ( rcbrtf instanceof Error ) +}; + + +// TESTS // + +tape( 'main export is a function', opts, function test( t ) { + t.ok( true, __filename ); + t.strictEqual( typeof rcbrtf, 'function', 'main export is a function' ); + t.end(); +}); + +tape( 'the function evaluates the reciprocal cube root of `x` on the interval `[50,500]`', opts, function test( t ) { + var expected; + var delta; + var tol; + var x; + var y; + var i; + var e; + + expected = veryLargePositive.expected; + x = veryLargePositive.x; + for ( i = 0; i < x.length; i++ ) { + y = rcbrtf( x[ i ] ); + e = float64ToFloat32( expected[ i ] ); + if ( y === e ) { + t.equal( y, e, 'x: '+x[ i ]+', y: '+y+', expected: '+e ); + } else { + delta = abs( y - e ); + tol = EPS * abs( e ); + t.equal( delta <= tol, true, 'within tolerance. x: '+x[ i ]+'. y: '+y+'. E: '+e+'. Δ: '+delta+'. Tolerance: '+tol+'.' ); + } + } + t.end(); +}); + +tape( 'the function evaluates the reciprocal cube root of `x` on the interval `[20,50]`', opts, function test( t ) { + var expected; + var delta; + var tol; + var x; + var y; + var i; + var e; + + expected = largePositive.expected; + x = largePositive.x; + for ( i = 0; i < x.length; i++ ) { + y = rcbrtf( x[ i ] ); + e = float64ToFloat32( expected[ i ] ); + if ( y === e ) { + t.equal( y, e, 'x: '+x[ i ]+', y: '+y+', expected: '+e ); + } else { + delta = abs( y - e ); + tol = EPS * abs( e ); + t.equal( delta <= tol, true, 'within tolerance. x: '+x[ i ]+'. y: '+y+'. E: '+e+'. Δ: '+delta+'. Tolerance: '+tol+'.' ); + } + } + t.end(); +}); + +tape( 'the function evaluates the reciprocal cube root of `x` on the interval `[3,20]`', opts, function test( t ) { + var expected; + var delta; + var tol; + var x; + var y; + var i; + var e; + + expected = mediumPositive.expected; + x = mediumPositive.x; + for ( i = 0; i < x.length; i++ ) { + y = rcbrtf( x[ i ] ); + e = float64ToFloat32( expected[ i ] ); + if ( y === e ) { + t.equal( y, e, 'x: '+x[ i ]+', y: '+y+', expected: '+e ); + } else { + delta = abs( y - e ); + tol = EPS * abs( e ); + t.equal( delta <= tol, true, 'within tolerance. x: '+x[ i ]+'. y: '+y+'. E: '+e+'. Δ: '+delta+'. Tolerance: '+tol+'.' ); + } + } + t.end(); +}); + +tape( 'the function evaluates the reciprocal cube root of `x` on the interval `[0.8,3]`', opts, function test( t ) { + var expected; + var delta; + var tol; + var x; + var y; + var i; + var e; + + expected = smallPositive.expected; + x = smallPositive.x; + for ( i = 0; i < x.length; i++ ) { + y = rcbrtf( x[ i ] ); + e = float64ToFloat32( expected[ i ] ); + if ( y === e ) { + t.equal( y, e, 'x: '+x[ i ]+', y: '+y+', expected: '+e ); + } else { + delta = abs( y - e ); + tol = EPS * abs( e ); + t.equal( delta <= tol, true, 'within tolerance. x: '+x[ i ]+'. y: '+y+'. E: '+e+'. Δ: '+delta+'. Tolerance: '+tol+'.' ); + } + } + t.end(); +}); + +tape( 'the function evaluates the reciprocal cube root of `x` on the interval `[0.0,0.8]`', opts, function test( t ) { + var expected; + var delta; + var tol; + var x; + var y; + var i; + var e; + + expected = smaller.expected; + x = smaller.x; + for ( i = 0; i < x.length; i++ ) { + y = rcbrtf( x[ i ] ); + e = float64ToFloat32( expected[ i ] ); + if ( y === e ) { + t.equal( y, e, 'x: '+x[ i ]+', y: '+y+', expected: '+e ); + } else { + delta = abs( y - e ); + tol = EPS * abs( e ); + t.equal( delta <= tol, true, 'within tolerance. x: '+x[ i ]+'. y: '+y+'. E: '+e+'. Δ: '+delta+'. Tolerance: '+tol+'.' ); + } + } + t.end(); +}); + +tape( 'the function evaluates the reciprocal cube root of `x` on the interval `[1e-30,1e-38]`', opts, function test( t ) { + var expected; + var delta; + var tol; + var x; + var y; + var i; + var e; + + expected = tinyPositive.expected; + x = tinyPositive.x; + for ( i = 0; i < x.length; i++ ) { + y = rcbrtf( x[ i ] ); + e = float64ToFloat32( expected[ i ] ); + if ( y === e ) { + t.equal( y, e, 'x: '+x[ i ]+', y: '+y+', expected: '+e ); + } else { + delta = abs( y - e ); + tol = EPS * abs( e ); + t.equal( delta <= tol, true, 'within tolerance. x: '+x[ i ]+'. y: '+y+'. E: '+e+'. Δ: '+delta+'. Tolerance: '+tol+'.' ); + } + } + t.end(); +}); + +tape( 'the function evaluates the reciprocal cube root of subnormal `x`', opts, function test( t ) { + var expected; + var delta; + var tol; + var x; + var y; + var i; + var e; + + expected = subnormal.expected; + x = subnormal.x; + for ( i = 0; i < x.length; i++ ) { + y = rcbrtf( x[ i ] ); + e = float64ToFloat32( expected[ i ] ); + if ( y === e ) { + t.equal( y, e, 'x: '+x[ i ]+', y: '+y+', expected: '+e ); + } else { + delta = abs( y - e ); + tol = EPS * abs( e ); + t.equal( delta <= tol, true, 'within tolerance. x: '+x[ i ]+'. y: '+y+'. E: '+e+'. Δ: '+delta+'. Tolerance: '+tol+'.' ); + } + } + t.end(); +}); + +tape( 'the function evaluates the reciprocal cube root of `x` (huge positive)', opts, function test( t ) { + var expected; + var delta; + var tol; + var x; + var y; + var i; + var e; + + expected = hugePositive.expected; + x = hugePositive.x; + for ( i = 0; i < x.length; i++ ) { + y = rcbrtf( x[ i ] ); + e = float64ToFloat32( expected[ i ] ); + if ( y === e ) { + t.equal( y, e, 'x: '+x[ i ]+', y: '+y+', expected: '+e ); + } else { + delta = abs( y - e ); + tol = EPS * abs( e ); + t.equal( delta <= tol, true, 'within tolerance. x: '+x[ i ]+'. y: '+y+'. E: '+e+'. Δ: '+delta+'. Tolerance: '+tol+'.' ); + } + } + t.end(); +}); + +tape( 'the function evaluates the reciprocal cube root of `x` (huge negative)', opts, function test( t ) { + var expected; + var delta; + var tol; + var x; + var y; + var i; + var e; + + expected = hugeNegative.expected; + x = hugeNegative.x; + for ( i = 0; i < x.length; i++ ) { + y = rcbrtf( x[ i ] ); + e = float64ToFloat32( expected[ i ] ); + if ( y === e ) { + t.equal( y, e, 'x: '+x[ i ]+', y: '+y+', expected: '+e ); + } else { + delta = abs( y - e ); + tol = EPS * abs( e ); + t.equal( delta <= tol, true, 'within tolerance. x: '+x[ i ]+'. y: '+y+'. E: '+e+'. Δ: '+delta+'. Tolerance: '+tol+'.' ); + } + } + t.end(); +}); + +tape( 'the function evaluates the reciprocal cube root of `x` on the interval `[-50,-500]', opts, function test( t ) { + var expected; + var delta; + var tol; + var x; + var y; + var i; + var e; + + expected = veryLargeNegative.expected; + x = veryLargeNegative.x; + for ( i = 0; i < x.length; i++ ) { + y = rcbrtf( x[ i ] ); + e = float64ToFloat32( expected[ i ] ); + if ( y === e ) { + t.equal( y, e, 'x: '+x[ i ]+', y: '+y+', expected: '+e ); + } else { + delta = abs( y - e ); + tol = EPS * abs( e ); + t.equal( delta <= tol, true, 'within tolerance. x: '+x[ i ]+'. y: '+y+'. E: '+e+'. Δ: '+delta+'. Tolerance: '+tol+'.' ); + } + } + t.end(); +}); + +tape( 'the function evaluates the reciprocal cube root of `x` on the interval `[-20,-50]`', opts, function test( t ) { + var expected; + var delta; + var tol; + var x; + var y; + var i; + var e; + + expected = largeNegative.expected; + x = largeNegative.x; + for ( i = 0; i < x.length; i++ ) { + y = rcbrtf( x[ i ] ); + e = float64ToFloat32( expected[ i ] ); + if ( y === e ) { + t.equal( y, e, 'x: '+x[ i ]+', y: '+y+', expected: '+e ); + } else { + delta = abs( y - e ); + tol = EPS * abs( e ); + t.equal( delta <= tol, true, 'within tolerance. x: '+x[ i ]+'. y: '+y+'. E: '+e+'. Δ: '+delta+'. Tolerance: '+tol+'.' ); + } + } + t.end(); +}); + +tape( 'the function evaluates the reciprocal cube root of `x` on the interval `[-20,-3]`', opts, function test( t ) { + var expected; + var delta; + var tol; + var x; + var y; + var i; + var e; + + expected = mediumNegative.expected; + x = mediumNegative.x; + for ( i = 0; i < x.length; i++ ) { + y = rcbrtf( x[ i ] ); + e = float64ToFloat32( expected[ i ] ); + if ( y === e ) { + t.equal( y, e, 'x: '+x[ i ]+', y: '+y+', expected: '+e ); + } else { + delta = abs( y - e ); + tol = EPS * abs( e ); + t.equal( delta <= tol, true, 'within tolerance. x: '+x[ i ]+'. y: '+y+'. E: '+e+'. Δ: '+delta+'. Tolerance: '+tol+'.' ); + } + } + t.end(); +}); + +tape( 'the function evaluates the reciprocal cube root of `x` on the interval `[-3,-0.8]`', opts, function test( t ) { + var expected; + var delta; + var tol; + var x; + var y; + var i; + var e; + + expected = smallNegative.expected; + x = smallNegative.x; + for ( i = 0; i < x.length; i++ ) { + y = rcbrtf( x[ i ] ); + e = float64ToFloat32( expected[ i ] ); + if ( y === e ) { + t.equal( y, e, 'x: '+x[ i ]+', y: '+y+', expected: '+e ); + } else { + delta = abs( y - e ); + tol = EPS * abs( e ); + t.equal( delta <= tol, true, 'within tolerance. x: '+x[ i ]+'. y: '+y+'. E: '+e+'. Δ: '+delta+'. Tolerance: '+tol+'.' ); + } + } + t.end(); +}); + +tape( 'the function evaluates the reciprocal cube root of `x` on the interval `[-0.8,0.8]`', opts, function test( t ) { + var expected; + var delta; + var tol; + var x; + var y; + var i; + var e; + + expected = smaller.expected; + x = smaller.x; + for ( i = 0; i < x.length; i++ ) { + y = rcbrtf( x[ i ] ); + e = float64ToFloat32( expected[ i ] ); + if ( y === e ) { + t.equal( y, e, 'x: '+x[ i ]+', y: '+y+', expected: '+e ); + } else { + delta = abs( y - e ); + tol = EPS * abs( e ); + t.equal( delta <= tol, true, 'within tolerance. x: '+x[ i ]+'. y: '+y+'. E: '+e+'. Δ: '+delta+'. Tolerance: '+tol+'.' ); + } + } + t.end(); +}); + +tape( 'the function evaluates the reciprocal cube root of `x` on the interval `[-1e-30,-1e-38]`', opts, function test( t ) { + var expected; + var delta; + var tol; + var x; + var y; + var i; + var e; + + expected = tinyNegative.expected; + x = tinyNegative.x; + for ( i = 0; i < x.length; i++ ) { + y = rcbrtf( x[ i ] ); + e = float64ToFloat32( expected[ i ] ); + if ( y === e ) { + t.equal( y, e, 'x: '+x[ i ]+', y: '+y+', expected: '+e ); + } else { + delta = abs( y - e ); + tol = EPS * abs( e ); + t.equal( delta <= tol, true, 'within tolerance. x: '+x[ i ]+'. y: '+y+'. E: '+e+'. Δ: '+delta+'. Tolerance: '+tol+'.' ); + } + } + t.end(); +}); + +tape( 'the function returns `NaN` if provided `NaN`', opts, function test( t ) { + var v = rcbrtf( NaN ); + t.equal( isnanf( v ), true, 'returns expected value' ); + t.end(); +}); + +tape( 'the function returns `0.0` if provided `+infinity`', opts, function test( t ) { + var v = rcbrtf( PINF ); + t.equal( v, 0.0, 'returns 0.0' ); + t.end(); +}); + +tape( 'the function returns `+infinity` if provided `+0`', opts, function test( t ) { + var v = rcbrtf( +0.0 ); + t.equal( v, PINF, 'returns +infinity' ); + t.end(); +}); + +tape( 'the function returns `-infinity` if provided `-0`', opts, function test( t ) { + var v = rcbrtf( -0.0 ); + t.equal( v, NINF, 'returns -infinity' ); + t.end(); +}); + +tape( 'the function returns `0.0` if provided `-infinity`', opts, function test( t ) { + var v = rcbrtf( NINF ); + t.equal( v, 0.0, 'returns 0.0' ); + t.end(); +});