From 9de1517a5a4bee37ea58af7adbec288c82019322 Mon Sep 17 00:00:00 2001 From: GUNJ JOSHI Date: Thu, 28 Mar 2024 02:52:07 +0530 Subject: [PATCH 01/16] feat: add math/base/special/acosf --- .../@stdlib/math/base/special/acosf/LICENSE | 195 ++++++++++++++++++ .../@stdlib/math/base/special/acosf/README.md | 175 ++++++++++++++++ .../base/special/acosf/benchmark/benchmark.js | 51 +++++ .../acosf/benchmark/benchmark.native.js | 60 ++++++ .../special/acosf/benchmark/c/native/Makefile | 146 +++++++++++++ .../acosf/benchmark/c/native/benchmark.c | 136 ++++++++++++ .../math/base/special/acosf/binding.gyp | 170 +++++++++++++++ .../math/base/special/acosf/docs/repl.txt | 26 +++ .../base/special/acosf/docs/types/index.d.ts | 44 ++++ .../base/special/acosf/docs/types/test.ts | 44 ++++ .../base/special/acosf/examples/c/Makefile | 146 +++++++++++++ .../base/special/acosf/examples/c/example.c | 31 +++ .../math/base/special/acosf/examples/index.js | 29 +++ .../math/base/special/acosf/include.gypi | 53 +++++ .../include/stdlib/math/base/special/acosf.h | 38 ++++ .../math/base/special/acosf/lib/index.js | 46 +++++ .../math/base/special/acosf/lib/main.js | 113 ++++++++++ .../math/base/special/acosf/lib/native.js | 54 +++++ .../math/base/special/acosf/manifest.json | 84 ++++++++ .../math/base/special/acosf/package.json | 70 +++++++ .../math/base/special/acosf/src/Makefile | 70 +++++++ .../math/base/special/acosf/src/addon.c | 23 +++ .../math/base/special/acosf/src/main.c | 93 +++++++++ .../special/acosf/test/fixtures/julia/REQUIRE | 2 + .../acosf/test/fixtures/julia/data.json | 1 + .../acosf/test/fixtures/julia/runner.jl | 73 +++++++ .../test/fixtures/julia/small_negative.json | 1 + .../test/fixtures/julia/small_positive.json | 1 + .../math/base/special/acosf/test/test.js | 151 ++++++++++++++ .../base/special/acosf/test/test.native.js | 160 ++++++++++++++ 30 files changed, 2286 insertions(+) create mode 100644 lib/node_modules/@stdlib/math/base/special/acosf/LICENSE create mode 100644 lib/node_modules/@stdlib/math/base/special/acosf/README.md create mode 100644 lib/node_modules/@stdlib/math/base/special/acosf/benchmark/benchmark.js create mode 100644 lib/node_modules/@stdlib/math/base/special/acosf/benchmark/benchmark.native.js create mode 100644 lib/node_modules/@stdlib/math/base/special/acosf/benchmark/c/native/Makefile create mode 100644 lib/node_modules/@stdlib/math/base/special/acosf/benchmark/c/native/benchmark.c create mode 100644 lib/node_modules/@stdlib/math/base/special/acosf/binding.gyp create mode 100644 lib/node_modules/@stdlib/math/base/special/acosf/docs/repl.txt create mode 100644 lib/node_modules/@stdlib/math/base/special/acosf/docs/types/index.d.ts create mode 100644 lib/node_modules/@stdlib/math/base/special/acosf/docs/types/test.ts create mode 100644 lib/node_modules/@stdlib/math/base/special/acosf/examples/c/Makefile create mode 100644 lib/node_modules/@stdlib/math/base/special/acosf/examples/c/example.c create mode 100644 lib/node_modules/@stdlib/math/base/special/acosf/examples/index.js create mode 100644 lib/node_modules/@stdlib/math/base/special/acosf/include.gypi create mode 100644 lib/node_modules/@stdlib/math/base/special/acosf/include/stdlib/math/base/special/acosf.h create mode 100644 lib/node_modules/@stdlib/math/base/special/acosf/lib/index.js create mode 100644 lib/node_modules/@stdlib/math/base/special/acosf/lib/main.js create mode 100644 lib/node_modules/@stdlib/math/base/special/acosf/lib/native.js create mode 100644 lib/node_modules/@stdlib/math/base/special/acosf/manifest.json create mode 100644 lib/node_modules/@stdlib/math/base/special/acosf/package.json create mode 100644 lib/node_modules/@stdlib/math/base/special/acosf/src/Makefile create mode 100644 lib/node_modules/@stdlib/math/base/special/acosf/src/addon.c create mode 100644 lib/node_modules/@stdlib/math/base/special/acosf/src/main.c create mode 100644 lib/node_modules/@stdlib/math/base/special/acosf/test/fixtures/julia/REQUIRE create mode 100644 lib/node_modules/@stdlib/math/base/special/acosf/test/fixtures/julia/data.json create mode 100755 lib/node_modules/@stdlib/math/base/special/acosf/test/fixtures/julia/runner.jl create mode 100644 lib/node_modules/@stdlib/math/base/special/acosf/test/fixtures/julia/small_negative.json create mode 100644 lib/node_modules/@stdlib/math/base/special/acosf/test/fixtures/julia/small_positive.json create mode 100644 lib/node_modules/@stdlib/math/base/special/acosf/test/test.js create mode 100644 lib/node_modules/@stdlib/math/base/special/acosf/test/test.native.js diff --git a/lib/node_modules/@stdlib/math/base/special/acosf/LICENSE b/lib/node_modules/@stdlib/math/base/special/acosf/LICENSE new file mode 100644 index 000000000000..a5bc4d9bf3fd --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/acosf/LICENSE @@ -0,0 +1,195 @@ + Apache License + Version 2.0, January 2004 + http://www.apache.org/licenses/ + + TERMS AND CONDITIONS FOR USE, REPRODUCTION, AND DISTRIBUTION + + 1. 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What you see here may be used freely but it +comes with no support or guarantee. + +Stephen L. Moshier +moshier@na-net.ornl.gov diff --git a/lib/node_modules/@stdlib/math/base/special/acosf/README.md b/lib/node_modules/@stdlib/math/base/special/acosf/README.md new file mode 100644 index 000000000000..625e700b90d8 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/acosf/README.md @@ -0,0 +1,175 @@ + + +# acosf + +> Compute the [arccosine][arccosine] of a single-precision floating-point number. + +
+ +## Usage + +```javascript +var acosf = require( '@stdlib/math/base/special/acosf' ); +``` + +#### acosf( x ) + +Computes the [arccosine][arccosine] of a single-precision floating-point number (in radians). + +```javascript +var v = acosf( 1.0 ); +// returns 0.0 + +v = acosf( 0.707 ); +// returns ~0.7855 +``` + +
+ + + +
+ +## Examples + + + +```javascript +var linspace = require( '@stdlib/array/base/linspace' ); +var acosf = require( '@stdlib/math/base/special/acosf' ); + +var x = linspace( -1.0, 1.0, 100 ); + +var i; +for ( i = 0; i < x.length; i++ ) { + console.log( acosf( x[ i ] ) ); +} +``` + +
+ + + + + +* * * + +
+ +## C APIs + + + +
+ +
+ + + + + +
+ +### Usage + +```c +#include "stdlib/math/base/special/acosf.h" +``` + +#### stdlib_base_acosf( x ) + +Computes the [arccosine][arccosine] of a single-precision floating-point number (in radians). + +```c +float out = stdlib_base_acosf( 1.0f ); +// returns 0.0f + +out = stdlib_base_acosf( 0.707f ); +// returns ~0.7855f +``` + +The function accepts the following arguments: + +- **x**: `[in] float` input value (in radians). + +```c +float stdlib_base_acosf( const float x ); +``` + +
+ + + + + +
+ +
+ + + + + +
+ +### Examples + +```c +#include "stdlib/math/base/special/acosf.h" +#include + +int main( void ) { + const float x[] = { -1.0f, -0.78f, -0.56f, -0.33f, -0.11f, 0.11f, 0.33f, 0.56f, 0.78f, 1.0f }; + + float v; + int i; + for ( i = 0; i < 10; i++ ) { + v = stdlib_base_acosf( x[ i ] ); + printf( "acos(%f) = %f\n", x[ i ], v ); + } +} +``` + +
+ + + +
+ + + + + +
+ +
+ + + + + +
+ +[arccosine]: https://en.wikipedia.org/wiki/Inverse_trigonometric_functions + +
+ + diff --git a/lib/node_modules/@stdlib/math/base/special/acosf/benchmark/benchmark.js b/lib/node_modules/@stdlib/math/base/special/acosf/benchmark/benchmark.js new file mode 100644 index 000000000000..676d3e13dd46 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/acosf/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( '@stdlib/math/base/assert/is-nanf' ); +var pkg = require( './../package.json' ).name; +var acosf = require( './../lib' ); + + +// MAIN // + +bench( pkg, function benchmark( b ) { + var x; + var y; + var i; + + b.tic(); + for ( i = 0; i < b.iterations; i++ ) { + x = ( randu() * 2.0 ) - 1.0; + y = acosf( 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/lib/node_modules/@stdlib/math/base/special/acosf/benchmark/benchmark.native.js b/lib/node_modules/@stdlib/math/base/special/acosf/benchmark/benchmark.native.js new file mode 100644 index 000000000000..ea657c5cf9d1 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/acosf/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( '@stdlib/math/base/assert/is-nanf' ); +var tryRequire = require( '@stdlib/utils/try-require' ); +var pkg = require( './../package.json' ).name; + + +// VARIABLES // + +var acosf = tryRequire( resolve( __dirname, './../lib/native.js' ) ); +var opts = { + 'skip': ( acosf 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() * 2.0 ) - 1.0; + y = acosf( 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/lib/node_modules/@stdlib/math/base/special/acosf/benchmark/c/native/Makefile b/lib/node_modules/@stdlib/math/base/special/acosf/benchmark/c/native/Makefile new file mode 100644 index 000000000000..f69e9da2b4d3 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/acosf/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/lib/node_modules/@stdlib/math/base/special/acosf/benchmark/c/native/benchmark.c b/lib/node_modules/@stdlib/math/base/special/acosf/benchmark/c/native/benchmark.c new file mode 100644 index 000000000000..23f12cabda0f --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/acosf/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 `acosf`. +*/ +#include "stdlib/math/base/special/acosf.h" +#include +#include +#include +#include +#include + +#define NAME "acosf" +#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 = ( 2.0f * rand_float() ) - 1.0f; + y = stdlib_base_acosf( 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/lib/node_modules/@stdlib/math/base/special/acosf/binding.gyp b/lib/node_modules/@stdlib/math/base/special/acosf/binding.gyp new file mode 100644 index 000000000000..ec3992233442 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/acosf/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/lib/node_modules/@stdlib/math/base/special/acosf/docs/repl.txt b/lib/node_modules/@stdlib/math/base/special/acosf/docs/repl.txt new file mode 100644 index 000000000000..7a481011f90b --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/acosf/docs/repl.txt @@ -0,0 +1,26 @@ + +{{alias}}( x ) + Computes the arccosine of a single-precision floating-point number. + + Parameters + ---------- + x: number + Input value. + + Returns + ------- + y: number + Arccosine (in radians). + + Examples + -------- + > var y = {{alias}}( 1.0 ) + 0.0 + > y = {{alias}}( 0.707 ) + ~0.7855 + > y = {{alias}}( NaN ) + NaN + + See Also + -------- + diff --git a/lib/node_modules/@stdlib/math/base/special/acosf/docs/types/index.d.ts b/lib/node_modules/@stdlib/math/base/special/acosf/docs/types/index.d.ts new file mode 100644 index 000000000000..8ec62dae8f04 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/acosf/docs/types/index.d.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. +*/ + +// TypeScript Version: 4.1 + +/** +* Computes the arccosine of a single-precision floating-point number. +* +* @param x - input value +* @returns arccosine (in radians) +* +* @example +* var v = acosf( 1.0 ); +* // returns 0.0 +* +* @example +* var v = acosf( 0.707 ); // ~pi/4 +* // returns ~0.7855 +* +* @example +* var v = acosf( NaN ); +* // returns NaN +*/ +declare function acosf( x: number ): number; + + +// EXPORTS // + +export = acosf; diff --git a/lib/node_modules/@stdlib/math/base/special/acosf/docs/types/test.ts b/lib/node_modules/@stdlib/math/base/special/acosf/docs/types/test.ts new file mode 100644 index 000000000000..7e2c1d0d03cf --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/acosf/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 acosf = require( './index' ); + + +// TESTS // + +// The function returns a number... +{ + acosf( 8 ); // $ExpectType number +} + +// The compiler throws an error if the function is provided a value other than a number... +{ + acosf( true ); // $ExpectError + acosf( false ); // $ExpectError + acosf( null ); // $ExpectError + acosf( undefined ); // $ExpectError + acosf( '5' ); // $ExpectError + acosf( [] ); // $ExpectError + acosf( {} ); // $ExpectError + acosf( ( x: number ): number => x ); // $ExpectError +} + +// The compiler throws an error if the function is provided insufficient arguments... +{ + acosf(); // $ExpectError +} diff --git a/lib/node_modules/@stdlib/math/base/special/acosf/examples/c/Makefile b/lib/node_modules/@stdlib/math/base/special/acosf/examples/c/Makefile new file mode 100644 index 000000000000..6aed70daf167 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/acosf/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/lib/node_modules/@stdlib/math/base/special/acosf/examples/c/example.c b/lib/node_modules/@stdlib/math/base/special/acosf/examples/c/example.c new file mode 100644 index 000000000000..dd5834ba7454 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/acosf/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/acosf.h" +#include + +int main( void ) { + const float x[] = { -1.0f, -0.78f, -0.56f, -0.33f, -0.11f, 0.11f, 0.33f, 0.56f, 0.78f, 1.0f }; + + float v; + int i; + for ( i = 0; i < 10; i++ ) { + v = stdlib_base_acosf( x[ i ] ); + printf( "acos(%f) = %f\n", x[ i ], v ); + } +} diff --git a/lib/node_modules/@stdlib/math/base/special/acosf/examples/index.js b/lib/node_modules/@stdlib/math/base/special/acosf/examples/index.js new file mode 100644 index 000000000000..bfbc2f749303 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/acosf/examples/index.js @@ -0,0 +1,29 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2024 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +'use strict'; + +var linspace = require( '@stdlib/array/base/linspace' ); +var acosf = require( './../lib' ); + +var x = linspace( -1.0, 1.0, 100 ); + +var i; +for ( i = 0; i < x.length; i++ ) { + console.log( 'acosf(%d) = %d', x[ i ], acosf( x[ i ] ) ); +} diff --git a/lib/node_modules/@stdlib/math/base/special/acosf/include.gypi b/lib/node_modules/@stdlib/math/base/special/acosf/include.gypi new file mode 100644 index 000000000000..575cb043c0bf --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/acosf/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': [ + ' +0.5\\), +* +* ```tex +* \operatorname{acosf}(x) = 2.0 \cdot \operatorname{asinf}( \sqrt{(1-x)/2} )} +* ``` +* +* ## Notes +* +* - Relative error: +* +* | arithmetic | domain | # trials | peak | rms | +* |:-----------|:-------|:---------|:--------|:--------| +* | IEEE | -1, 1 | 10^5 | 1.4e-7 | 4.2e-8 | +* +* @param {number} x - input value +* @returns {number} arccosine (in radians) +* +* @example +* var v = acosf( 1.0 ); +* // returns 0.0 +* +* @example +* var v = acosf( 0.707 ); +* // returns ~0.7855 +* +* @example +* var v = acosf( NaN ); +* // returns NaN +*/ +function acosf( x ) { + if ( isnanf( x ) ) { + return NaN; // NaN + } + x = float64ToFloat32( x ); + if ( x < -1.0 || x > 1.0 ) { + return NaN; // NaN + } + if ( x < -0.5 ) { + return float64ToFloat32( PIF - float64ToFloat32( 2.0 * asinf( sqrtf( float64ToFloat32( 0.5 * float64ToFloat32( 1.0 + x ) ) ) ) ) ); // eslint-disable-line max-len + } + if ( x > 0.5 ) { + return float64ToFloat32( 2.0 * asinf( sqrtf( float64ToFloat32( 0.5 * float64ToFloat32( 1.0 - x ) ) ) ) ); // eslint-disable-line max-len + } + return float64ToFloat32( PI02F - asinf( x ) ); +} + + +// EXPORTS // + +module.exports = acosf; diff --git a/lib/node_modules/@stdlib/math/base/special/acosf/lib/native.js b/lib/node_modules/@stdlib/math/base/special/acosf/lib/native.js new file mode 100644 index 000000000000..7e4f8b033de1 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/acosf/lib/native.js @@ -0,0 +1,54 @@ +/** +* @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 addon = require( './../src/addon.node' ); + + +// MAIN // + +/** +* Computes the arccosine of a single-precision floating-point number. +* +* @private +* @param {number} x - input value +* @returns {number} arccosine (in radians) +* +* @example +* var v = acosf( 1.0 ); +* // returns 0.0 +* +* @example +* var v = acosf( 0.707 ); +* // returns ~0.7855 +* +* @example +* var v = acosf( NaN ); +* // returns NaN +*/ +function acosf( x ) { + return addon( x ); +} + + +// EXPORTS // + +module.exports = acosf; diff --git a/lib/node_modules/@stdlib/math/base/special/acosf/manifest.json b/lib/node_modules/@stdlib/math/base/special/acosf/manifest.json new file mode 100644 index 000000000000..f39af9da657f --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/acosf/manifest.json @@ -0,0 +1,84 @@ +{ + "options": { + "task": "build" + }, + "fields": [ + { + "field": "src", + "resolve": true, + "relative": true + }, + { + "field": "include", + "resolve": true, + "relative": true + }, + { + "field": "libraries", + "resolve": false, + "relative": false + }, + { + "field": "libpath", + "resolve": true, + "relative": false + } + ], + "confs": [ + { + "task": "build", + "src": [ + "./src/main.c" + ], + "include": [ + "./include" + ], + "libraries": [], + "libpath": [], + "dependencies": [ + "@stdlib/math/base/napi/unary", + "@stdlib/math/base/assert/is-nanf", + "@stdlib/math/base/special/asinf", + "@stdlib/math/base/special/sqrtf", + "@stdlib/constants/float32/half-pi", + "@stdlib/constants/float32/pi" + ] + }, + { + "task": "benchmark", + "src": [ + "./src/main.c" + ], + "include": [ + "./include" + ], + "libraries": [], + "libpath": [], + "dependencies": [ + "@stdlib/math/base/assert/is-nanf", + "@stdlib/math/base/special/asinf", + "@stdlib/math/base/special/sqrtf", + "@stdlib/constants/float32/half-pi", + "@stdlib/constants/float32/pi" + ] + }, + { + "task": "examples", + "src": [ + "./src/main.c" + ], + "include": [ + "./include" + ], + "libraries": [], + "libpath": [], + "dependencies": [ + "@stdlib/math/base/assert/is-nanf", + "@stdlib/math/base/special/asinf", + "@stdlib/math/base/special/sqrtf", + "@stdlib/constants/float32/half-pi", + "@stdlib/constants/float32/pi" + ] + } + ] +} diff --git a/lib/node_modules/@stdlib/math/base/special/acosf/package.json b/lib/node_modules/@stdlib/math/base/special/acosf/package.json new file mode 100644 index 000000000000..027d67917224 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/acosf/package.json @@ -0,0 +1,70 @@ +{ + "name": "@stdlib/math/base/special/acosf", + "version": "0.0.0", + "description": "Compute the arccosine of a single-precision floating-point number.", + "license": "Apache-2.0", + "author": { + "name": "The Stdlib Authors", + "url": "https://github.com/stdlib-js/stdlib/graphs/contributors" + }, + "contributors": [ + { + "name": "The Stdlib Authors", + "url": "https://github.com/stdlib-js/stdlib/graphs/contributors" + } + ], + "main": "./lib", + "gypfile": true, + "directories": { + "benchmark": "./benchmark", + "doc": "./docs", + "example": "./examples", + "include": "./include", + "lib": "./lib", + "scripts": "./scripts", + "src": "./src", + "test": "./test" + }, + "types": "./docs/types", + "scripts": {}, + "homepage": "https://github.com/stdlib-js/stdlib", + "repository": { + "type": "git", + "url": "git://github.com/stdlib-js/stdlib.git" + }, + "bugs": { + "url": "https://github.com/stdlib-js/stdlib/issues" + }, + "dependencies": {}, + "devDependencies": {}, + "engines": { + "node": ">=0.10.0", + "npm": ">2.7.0" + }, + "os": [ + "aix", + "darwin", + "freebsd", + "linux", + "macos", + "openbsd", + "sunos", + "win32", + "windows" + ], + "keywords": [ + "stdlib", + "stdmath", + "mathematics", + "math", + "math.acos", + "acosf", + "arccosine", + "cosine", + "inverse", + "trig", + "trigonometry", + "radians", + "angle" + ] +} diff --git a/lib/node_modules/@stdlib/math/base/special/acosf/src/Makefile b/lib/node_modules/@stdlib/math/base/special/acosf/src/Makefile new file mode 100644 index 000000000000..bcf18aa46655 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/acosf/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/lib/node_modules/@stdlib/math/base/special/acosf/src/addon.c b/lib/node_modules/@stdlib/math/base/special/acosf/src/addon.c new file mode 100644 index 000000000000..d9218fb63de1 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/acosf/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/acosf.h" +#include "stdlib/math/base/napi/unary.h" + +// cppcheck-suppress shadowFunction +STDLIB_MATH_BASE_NAPI_MODULE_F_F( stdlib_base_acosf ) diff --git a/lib/node_modules/@stdlib/math/base/special/acosf/src/main.c b/lib/node_modules/@stdlib/math/base/special/acosf/src/main.c new file mode 100644 index 000000000000..4f1b5cebb7de --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/acosf/src/main.c @@ -0,0 +1,93 @@ +/** +* @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. +* +* +* ## Notice +* +* The original C code, long comment, copyright, license, and constants are from [Cephes]{@link http://www.netlib.org/cephes}. The implementation follows the original, but has been modified according to project conventions. +* +* ```text +* Copyright 1984, 1995, 2000 by Stephen L. Moshier +* +* Some software in this archive may be from the book _Methods and Programs for Mathematical Functions_ (Prentice-Hall or Simon & Schuster International, 1989) or from the Cephes Mathematical Library, a commercial product. In either event, it is copyrighted by the author. What you see here may be used freely but it comes with no support or guarantee. +* +* Stephen L. Moshier +* moshier@na-net.ornl.gov +* ``` +*/ + +#include "stdlib/math/base/special/asinf.h" +#include "stdlib/math/base/special/acosf.h" +#include "stdlib/math/base/assert/is_nanf.h" +#include "stdlib/math/base/special/sqrtf.h" +#include "stdlib/constants/float32/half_pi.h" +#include "stdlib/constants/float32/pi.h" +#include + +/** +* Computes the arccosine of a single-precision floating-point number. +* +* ## Method +* +* - Analytically, +* +* ```tex +* \operatorname{acosf}(x) = \frac{\pi}{2} - \operatorname{asinf}(x) +* ``` +* +* However, if \\(\|x\|\\) is near \\(1\\), there is cancellation error in subtracting \\(\opertorname{asinf}(x)\\) from \\(\pi/2\\). Hence, if \\(x < -0.5\\), +* +* ```tex +* \operatorname{acosf}(x) = \pi - 2.0 \cdot \operatorname{asinf}(\sqrt{(1+x)/2}) +* ``` +* +* or, if \\(x > +0.5\\), +* +* ```tex +* \operatorname{acosf}(x) = 2.0 \cdot \operatorname{asinf}( \sqrt{(1-x)/2} )} +* ``` +* +* ## Notes +* +* - Relative error: +* +* | arithmetic | domain | # trials | peak | rms | +* |:-----------|:-------|:---------|:--------|:--------| +* | IEEE | -1, 1 | 10^5 | 1.4e-7 | 4.2e-8 | +* +* @param x input value +* @return arccosine (in radians) +* +* @example +* float out = stdlib_base_acosf( 1.0f ); +* // returns 0.0f +*/ +float stdlib_base_acosf( const float x ) { + if ( stdlib_base_is_nanf( x ) ) { + return 0.0f / 0.0f; // NaN + } + if ( x < -1.0f || x > 1.0f ) { + return 0.0f / 0.0f; // NaN + } + if ( x < -0.5 ) { + return STDLIB_CONSTANT_FLOAT32_PI - ( 2.0f * stdlib_base_asinf( stdlib_base_sqrtf( 0.5f * ( 1.0f + x ) ) ) ); + } + if ( x > 0.5f ) { + return 2.0f * stdlib_base_asinf( stdlib_base_sqrtf( 0.5f * ( 1.0f - x ) ) ); + } + return STDLIB_CONSTANT_FLOAT32_HALF_PI - stdlib_base_asinf( x ); +} diff --git a/lib/node_modules/@stdlib/math/base/special/acosf/test/fixtures/julia/REQUIRE b/lib/node_modules/@stdlib/math/base/special/acosf/test/fixtures/julia/REQUIRE new file mode 100644 index 000000000000..308c3be89c85 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/acosf/test/fixtures/julia/REQUIRE @@ -0,0 +1,2 @@ +julia 1.5 +JSON 0.21 diff --git a/lib/node_modules/@stdlib/math/base/special/acosf/test/fixtures/julia/data.json b/lib/node_modules/@stdlib/math/base/special/acosf/test/fixtures/julia/data.json new file mode 100644 index 000000000000..d081b33684ba --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/acosf/test/fixtures/julia/data.json @@ -0,0 +1 @@ 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\ No newline at end of file diff --git a/lib/node_modules/@stdlib/math/base/special/acosf/test/fixtures/julia/runner.jl b/lib/node_modules/@stdlib/math/base/special/acosf/test/fixtures/julia/runner.jl new file mode 100755 index 000000000000..a1cd81d16737 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/acosf/test/fixtures/julia/runner.jl @@ -0,0 +1,73 @@ +#!/usr/bin/env julia +# +# @license Apache-2.0 +# +# Copyright (c) 2024 The Stdlib Authors. +# +# Licensed under the Apache License, Version 2.0 (the "License"); +# you may not use this file except in compliance with the License. +# You may obtain a copy of the License at +# +# http://www.apache.org/licenses/LICENSE-2.0 +# +# Unless required by applicable law or agreed to in writing, software +# distributed under the License is distributed on an "AS IS" BASIS, +# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +# See the License for the specific language governing permissions and +# limitations under the License. + +import JSON + +""" + gen( domain, name ) + +Generate fixture data and write to file. + +# Arguments + +* `domain`: domain +* `name::AbstractString`: output filename + +# Examples + +``` julia +julia> x = range( -1, stop = 1, length = 2001 ); +julia> gen( x, \"data.json\" ); +``` +""" +function gen( domain, name ) + x = collect( domain ); + y = acos.( x ); + + # Store data to be written to file as a collection: + data = Dict([ + ("x", x), + ("expected", y) + ]); + + # Based on the script directory, create an output filepath: + filepath = joinpath( dir, name ); + + # Write the data to the output filepath as JSON: + outfile = open( filepath, "w" ); + write( outfile, JSON.json(data) ); + close( outfile ); +end + +# Get the filename: +file = @__FILE__; + +# Extract the directory in which this file resides: +dir = dirname( file ); + +# Generate fixture data for decimal values: +x = range( -1.0, stop = 1.0, length = 2003 ); +gen( x, "data.json" ); + +# Generate fixture data for small negative values: +x = range( -1e-20, stop = -1e-28, length = 2003 ); +gen( x, "small_negative.json" ); + +# Generate fixture data for small positive values: +x = range( 1e-30, stop = 1e-38, length = 2003 ); +gen( x, "small_positive.json" ); diff --git a/lib/node_modules/@stdlib/math/base/special/acosf/test/fixtures/julia/small_negative.json b/lib/node_modules/@stdlib/math/base/special/acosf/test/fixtures/julia/small_negative.json new file mode 100644 index 000000000000..3d1526fad2ee --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/acosf/test/fixtures/julia/small_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/acosf/test/fixtures/julia/small_positive.json b/lib/node_modules/@stdlib/math/base/special/acosf/test/fixtures/julia/small_positive.json new file mode 100644 index 000000000000..fdfccd70f580 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/acosf/test/fixtures/julia/small_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/acosf/test/test.js b/lib/node_modules/@stdlib/math/base/special/acosf/test/test.js new file mode 100644 index 000000000000..4ed3af42dac0 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/acosf/test/test.js @@ -0,0 +1,151 @@ +/** +* @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( '@stdlib/math/base/assert/is-nanf' ); +var EPS = require( '@stdlib/constants/float32/eps' ); +var uniform = require( '@stdlib/random/base/uniform' ); +var abs = require( '@stdlib/math/base/special/abs' ); +var float64ToFloat32 = require( '@stdlib/number/float64/base/to-float32' ); +var acosf = require( './../lib' ); + + +// FIXTURES // + +var data = require( './fixtures/julia/data.json' ); +var smallNegative = require( './fixtures/julia/small_negative.json' ); +var smallPositive = require( './fixtures/julia/small_positive.json' ); + + +// TESTS // + +tape( 'main export is a function', function test( t ) { + t.ok( true, __filename ); + t.strictEqual( typeof acosf, 'function', 'main export is a function' ); + t.end(); +}); + +tape( 'the function computes the arccosine', function test( t ) { + var expected; + var delta; + var tol; + var x; + var y; + var i; + var e; + + x = data.x; + expected = data.expected; + + for ( i = 0; i < x.length; i++ ) { + y = acosf( x[ i ] ); + e = float64ToFloat32( expected[ i ] ); + if ( y === e ) { + t.equal( y, e, 'x: '+x[ i ]+'. E: '+e ); + } else { + delta = abs( y - e ); + tol = 114.0 * EPS * abs( e ); + t.ok( delta <= tol, 'within tolerance. x: '+x[ i ]+'. y: '+y+'. E: '+e+'. tol: '+tol+'. Δ: '+delta+'.' ); + } + } + t.end(); +}); + +tape( 'the function computes the arccosine (small negative values)', function test( t ) { + var expected; + var delta; + var tol; + var x; + var y; + var i; + var e; + + x = smallNegative.x; + expected = smallNegative.expected; + + for ( i = 0; i < x.length; i++ ) { + y = acosf( x[ i ] ); + e = float64ToFloat32( expected[ i ] ); + if ( y === e ) { + t.equal( y, e, 'x: '+x[ i ]+'. E: '+e ); + } else { + delta = abs( y - e ); + tol = EPS * abs( e ); + t.ok( delta <= tol, 'within tolerance. x: '+x[ i ]+'. y: '+y+'. E: '+e+'. tol: '+tol+'. Δ: '+delta+'.' ); + } + } + t.end(); +}); + +tape( 'the function computes the arccosine (small positive values)', function test( t ) { + var expected; + var delta; + var tol; + var x; + var y; + var i; + var e; + + x = smallPositive.x; + expected = smallPositive.expected; + + for ( i = 0; i < x.length; i++ ) { + y = acosf( x[ i ] ); + e = float64ToFloat32( expected[ i ] ); + if ( y === e ) { + t.equal( y, e, 'x: '+x[ i ]+'. E: '+e ); + } else { + delta = abs( y - e ); + tol = EPS * abs( e ); + t.ok( delta <= tol, 'within tolerance. x: '+x[ i ]+'. y: '+y+'. E: '+e+'. tol: '+tol+'. Δ: '+delta+'.' ); + } + } + t.end(); +}); + +tape( 'the function returns `NaN` if provided `NaN`', function test( t ) { + var v = acosf( NaN ); + t.equal( isnanf( v ), true, 'returns NaN' ); + t.end(); +}); + +tape( 'the function returns `NaN` if provided a value less than `-1`', function test( t ) { + var v; + var i; + + for ( i = 0; i < 1e3; i++ ) { + v = uniform( -1.0e6, -1.0 - EPS ); + t.equal( isnanf( acosf( v ) ), true, 'returns NaN when provided '+v ); + } + t.end(); +}); + +tape( 'the function returns `NaN` if provided a value greater than `+1`', function test( t ) { + var v; + var i; + + for ( i = 0; i < 1e3; i++ ) { + v = uniform( 1.0 + EPS, 1.0e6 ); + t.equal( isnanf( acosf( v ) ), true, 'returns NaN when provided '+v ); + } + t.end(); +}); diff --git a/lib/node_modules/@stdlib/math/base/special/acosf/test/test.native.js b/lib/node_modules/@stdlib/math/base/special/acosf/test/test.native.js new file mode 100644 index 000000000000..ea7eac6628c9 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/acosf/test/test.native.js @@ -0,0 +1,160 @@ +/** +* @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( '@stdlib/math/base/assert/is-nanf' ); +var EPS = require( '@stdlib/constants/float32/eps' ); +var uniform = require( '@stdlib/random/base/uniform' ); +var abs = require( '@stdlib/math/base/special/abs' ); +var float64ToFloat32 = require( '@stdlib/number/float64/base/to-float32' ); +var tryRequire = require( '@stdlib/utils/try-require' ); + + +// FIXTURES // + +var data = require( './fixtures/julia/data.json' ); +var smallNegative = require( './fixtures/julia/small_negative.json' ); +var smallPositive = require( './fixtures/julia/small_positive.json' ); + + +// VARIABLES // + +var acosf = tryRequire( resolve( __dirname, './../lib/native.js' ) ); +var opts = { + 'skip': ( acosf instanceof Error ) +}; + + +// TESTS // + +tape( 'main export is a function', opts, function test( t ) { + t.ok( true, __filename ); + t.strictEqual( typeof acosf, 'function', 'main export is a function' ); + t.end(); +}); + +tape( 'the function computes the arccosine', opts, function test( t ) { + var expected; + var delta; + var tol; + var x; + var y; + var i; + var e; + + x = data.x; + expected = data.expected; + + for ( i = 0; i < x.length; i++ ) { + y = acosf( x[ i ] ); + e = float64ToFloat32( expected[ i ] ); + if ( y === e ) { + t.equal( y, e, 'x: '+x[ i ]+'. E: '+e ); + } else { + delta = abs( y - e ); + tol = 114.0 * EPS * abs( e ); + t.ok( delta <= tol, 'within tolerance. x: '+x[ i ]+'. y: '+y+'. E: '+e+'. tol: '+tol+'. Δ: '+delta+'.' ); + } + } + t.end(); +}); + +tape( 'the function computes the arccosine (small negative values)', opts, function test( t ) { + var expected; + var delta; + var tol; + var x; + var y; + var i; + var e; + + x = smallNegative.x; + expected = smallNegative.expected; + + for ( i = 0; i < x.length; i++ ) { + y = acosf( x[ i ] ); + e = float64ToFloat32( expected[ i ] ); + if ( y === e ) { + t.equal( y, e, 'x: '+x[ i ]+'. E: '+e ); + } else { + delta = abs( y - e ); + tol = EPS * abs( e ); + t.ok( delta <= tol, 'within tolerance. x: '+x[ i ]+'. y: '+y+'. E: '+e+'. tol: '+tol+'. Δ: '+delta+'.' ); + } + } + t.end(); +}); + +tape( 'the function computes the arccosine (small positive values)', opts, function test( t ) { + var expected; + var delta; + var tol; + var x; + var y; + var i; + var e; + + x = smallPositive.x; + expected = smallPositive.expected; + + for ( i = 0; i < x.length; i++ ) { + y = acosf( x[ i ] ); + e = float64ToFloat32( expected[ i ] ); + if ( y === e ) { + t.equal( y, e, 'x: '+x[ i ]+'. E: '+e ); + } else { + delta = abs( y - e ); + tol = EPS * abs( e ); + t.ok( delta <= tol, 'within tolerance. x: '+x[ i ]+'. y: '+y+'. E: '+e+'. tol: '+tol+'. Δ: '+delta+'.' ); + } + } + t.end(); +}); + +tape( 'the function returns `NaN` if provided `NaN`', opts, function test( t ) { + var v = acosf( NaN ); + t.equal( isnanf( v ), true, 'returns NaN' ); + t.end(); +}); + +tape( 'the function returns `NaN` if provided a value less than `-1`', opts, function test( t ) { + var v; + var i; + + for ( i = 0; i < 1e3; i++ ) { + v = uniform( -1.0e6, -1.0 - EPS ); + t.equal( isnanf( acosf( v ) ), true, 'returns NaN when provided '+v ); + } + t.end(); +}); + +tape( 'the function returns `NaN` if provided a value greater than `+1`', opts, function test( t ) { + var v; + var i; + + for ( i = 0; i < 1e3; i++ ) { + v = uniform( 1.0 + EPS, 1.0e6 ); + t.equal( isnanf( acosf( v ) ), true, 'returns NaN when provided '+v ); + } + t.end(); +}); From 512fe7e0d36d4beb1f9ae27129e45846428bca2a Mon Sep 17 00:00:00 2001 From: Athan Date: Wed, 27 Mar 2024 17:14:44 -0700 Subject: [PATCH 02/16] Apply suggestions from code review Signed-off-by: Athan --- lib/node_modules/@stdlib/math/base/special/acosf/lib/main.js | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/lib/node_modules/@stdlib/math/base/special/acosf/lib/main.js b/lib/node_modules/@stdlib/math/base/special/acosf/lib/main.js index b5d54fb02b91..98c8c9cfb4ce 100644 --- a/lib/node_modules/@stdlib/math/base/special/acosf/lib/main.js +++ b/lib/node_modules/@stdlib/math/base/special/acosf/lib/main.js @@ -92,11 +92,11 @@ var PI02F = require( '@stdlib/constants/float32/half-pi' ); */ function acosf( x ) { if ( isnanf( x ) ) { - return NaN; // NaN + return NaN; } x = float64ToFloat32( x ); if ( x < -1.0 || x > 1.0 ) { - return NaN; // NaN + return NaN; } if ( x < -0.5 ) { return float64ToFloat32( PIF - float64ToFloat32( 2.0 * asinf( sqrtf( float64ToFloat32( 0.5 * float64ToFloat32( 1.0 + x ) ) ) ) ) ); // eslint-disable-line max-len From 36e72126f718ffd571ab42e02f18fa1343ce4b82 Mon Sep 17 00:00:00 2001 From: GUNJ JOSHI Date: Thu, 28 Mar 2024 07:52:34 +0530 Subject: [PATCH 03/16] Update README.md Signed-off-by: GUNJ JOSHI --- lib/node_modules/@stdlib/math/base/special/acosf/README.md | 2 ++ 1 file changed, 2 insertions(+) diff --git a/lib/node_modules/@stdlib/math/base/special/acosf/README.md b/lib/node_modules/@stdlib/math/base/special/acosf/README.md index 625e700b90d8..5b2ad02a530b 100644 --- a/lib/node_modules/@stdlib/math/base/special/acosf/README.md +++ b/lib/node_modules/@stdlib/math/base/special/acosf/README.md @@ -42,6 +42,8 @@ v = acosf( 0.707 ); // returns ~0.7855 ``` +The domain of `x` is restricted to `[-1,1]`. If `|x| > 1`, the function returns `NaN`. + From bd5e36df99f0bb4eee92cf151c14a67571c5a4ab Mon Sep 17 00:00:00 2001 From: GUNJ JOSHI Date: Sat, 30 Mar 2024 00:52:56 +0530 Subject: [PATCH 04/16] refactor: changed the implementation to that of FreeBSD --- .../math/base/special/acosf/lib/main.js | 64 ++++++++-- .../math/base/special/acosf/lib/poly_p.js | 52 ++++++++ .../math/base/special/acosf/manifest.json | 18 +-- .../base/special/acosf/scripts/evalpoly.js | 120 ++++++++++++++++++ .../math/base/special/acosf/src/main.c | 95 ++++++++++++-- .../math/base/special/acosf/test/test.js | 28 +++- .../base/special/acosf/test/test.native.js | 24 +++- 7 files changed, 364 insertions(+), 37 deletions(-) create mode 100644 lib/node_modules/@stdlib/math/base/special/acosf/lib/poly_p.js create mode 100644 lib/node_modules/@stdlib/math/base/special/acosf/scripts/evalpoly.js diff --git a/lib/node_modules/@stdlib/math/base/special/acosf/lib/main.js b/lib/node_modules/@stdlib/math/base/special/acosf/lib/main.js index 98c8c9cfb4ce..9fed9e99c2c2 100644 --- a/lib/node_modules/@stdlib/math/base/special/acosf/lib/main.js +++ b/lib/node_modules/@stdlib/math/base/special/acosf/lib/main.js @@ -18,15 +18,15 @@ * * ## Notice * -* The original C code, long comment, copyright, license, and constants are from [Cephes]{@link http://www.netlib.org/cephes}. The implementation follows the original, but has been modified for JavaScript. +* The following copyright, license, and long comment were part of the original implementation available as part of [FreeBSD]{@link https://svnweb.freebsd.org/base/release/12.2.0/lib/msun/src/e_atanh.c?view=markup}. The implementation follows the original, but has been modified according to project conventions. * * ```text -* Copyright 1984, 1995, 2000 by Stephen L. Moshier +* Copyright (C) 2004 by Sun Microsystems, Inc. All rights reserved. * -* Some software in this archive may be from the book _Methods and Programs for Mathematical Functions_ (Prentice-Hall or Simon & Schuster International, 1989) or from the Cephes Mathematical Library, a commercial product. In either event, it is copyrighted by the author. What you see here may be used freely but it comes with no support or guarantee. -* -* Stephen L. Moshier -* moshier@na-net.ornl.gov +* Developed at SunPro, a Sun Microsystems, Inc. business. +* Permission to use, copy, modify, and distribute this +* software is freely granted, provided that this notice +* is preserved. * ``` */ @@ -36,10 +36,17 @@ var isnanf = require( '@stdlib/math/base/assert/is-nanf' ); var sqrtf = require( '@stdlib/math/base/special/sqrtf' ); -var asinf = require( '@stdlib/math/base/special/asinf' ); var float64ToFloat32 = require( '@stdlib/number/float64/base/to-float32' ); var PIF = require( '@stdlib/constants/float32/pi' ); -var PI02F = require( '@stdlib/constants/float32/half-pi' ); +var absf = require( '@stdlib/math/base/special/absf' ); +var polyp = require( './poly_p.js' ); + + +// VARIABLES // + +var QS1 = -7.0662963390e-01; +var PIO2_HI = 1.5707962513e+00; +var PIO2_LO = 7.5497894159e-08; // MAIN // @@ -91,6 +98,14 @@ var PI02F = require( '@stdlib/constants/float32/half-pi' ); * // returns NaN */ function acosf( x ) { + var z; + var p; + var q; + var r; + var s; + var c; + var w; + if ( isnanf( x ) ) { return NaN; } @@ -98,13 +113,36 @@ function acosf( x ) { if ( x < -1.0 || x > 1.0 ) { return NaN; } - if ( x < -0.5 ) { - return float64ToFloat32( PIF - float64ToFloat32( 2.0 * asinf( sqrtf( float64ToFloat32( 0.5 * float64ToFloat32( 1.0 + x ) ) ) ) ) ); // eslint-disable-line max-len + if ( x === 1.0 ) { + return 0.0; + } + if ( x === -1.0 ) { + return float64ToFloat32( PIF + float64ToFloat32( 2.0 * PIO2_LO ) ); } - if ( x > 0.5 ) { - return float64ToFloat32( 2.0 * asinf( sqrtf( float64ToFloat32( 0.5 * float64ToFloat32( 1.0 - x ) ) ) ) ); // eslint-disable-line max-len + if ( absf( x ) < 0.5 ) { + z = float64ToFloat32( x * x ); + p = float64ToFloat32( z * polyp( z ) ); + q = float64ToFloat32( 1.0 + float64ToFloat32( z * QS1 ) ); + r = float64ToFloat32( p / q ); + return float64ToFloat32( PIO2_HI - float64ToFloat32( x - float64ToFloat32( PIO2_LO - float64ToFloat32( x * r ) ) ) ); // eslint-disable-line max-len + } + if ( x < -0.5 ) { + z = float64ToFloat32( float64ToFloat32( 1.0 + x ) * 0.5 ); + p = float64ToFloat32( z * polyp( z ) ); + q = float64ToFloat32( 1.0 + float64ToFloat32( z * QS1 ) ); + s = sqrtf( z ); + r = float64ToFloat32( p / q ); + w = float64ToFloat32( float64ToFloat32( r * s ) - PIO2_LO ); + return float64ToFloat32( PIF - float64ToFloat32( 2.0 * float64ToFloat32( s + w ) ) ); // eslint-disable-line max-len } - return float64ToFloat32( PI02F - asinf( x ) ); + z = float64ToFloat32( float64ToFloat32( 1.0 - x ) * 0.5 ); + s = sqrtf( z ); + c = float64ToFloat32( ( float64ToFloat32( z - float64ToFloat32( s * s ) ) ) / float64ToFloat32( 2 * s ) ); // eslint-disable-line max-len + p = float64ToFloat32( z * polyp( z ) ); + q = float64ToFloat32( 1.0 + float64ToFloat32( z * QS1 ) ); + r = float64ToFloat32( p / q ); + w = float64ToFloat32( float64ToFloat32( r * s ) + c ); + return float64ToFloat32( 2.0 * float64ToFloat32( s + w ) ); } diff --git a/lib/node_modules/@stdlib/math/base/special/acosf/lib/poly_p.js b/lib/node_modules/@stdlib/math/base/special/acosf/lib/poly_p.js new file mode 100644 index 000000000000..f546f63658be --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/acosf/lib/poly_p.js @@ -0,0 +1,52 @@ +/** +* @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. +*/ + +/* This is a generated file. Do not edit directly. */ +'use strict'; + +// MODULES // + +var float64ToFloat32 = require( '@stdlib/number/float64/base/to-float32' ); + + +// MAIN // + +/** +* Evaluates a polynomial. +* +* ## Notes +* +* - The implementation uses [Horner's rule][horners-method] for efficient computation. +* +* [horners-method]: https://en.wikipedia.org/wiki/Horner%27s_method +* +* @private +* @param {number} x - value at which to evaluate the polynomial +* @returns {number} evaluated polynomial +*/ +function evalpoly( x ) { + if ( x === 0.0 ) { + return 0.16666586697101593; + } + return float64ToFloat32(0.16666586697101593 + float64ToFloat32(x * float64ToFloat32(-0.04274342209100723 + float64ToFloat32(x * -0.008656363002955914)))); // eslint-disable-line max-len +} + + +// EXPORTS // + +module.exports = evalpoly; diff --git a/lib/node_modules/@stdlib/math/base/special/acosf/manifest.json b/lib/node_modules/@stdlib/math/base/special/acosf/manifest.json index f39af9da657f..09f973a410c3 100644 --- a/lib/node_modules/@stdlib/math/base/special/acosf/manifest.json +++ b/lib/node_modules/@stdlib/math/base/special/acosf/manifest.json @@ -38,10 +38,10 @@ "dependencies": [ "@stdlib/math/base/napi/unary", "@stdlib/math/base/assert/is-nanf", - "@stdlib/math/base/special/asinf", "@stdlib/math/base/special/sqrtf", - "@stdlib/constants/float32/half-pi", - "@stdlib/constants/float32/pi" + "@stdlib/constants/float32/pi", + "@stdlib/number/float32/base/from-word", + "@stdlib/number/float32/base/to-word" ] }, { @@ -56,10 +56,10 @@ "libpath": [], "dependencies": [ "@stdlib/math/base/assert/is-nanf", - "@stdlib/math/base/special/asinf", "@stdlib/math/base/special/sqrtf", - "@stdlib/constants/float32/half-pi", - "@stdlib/constants/float32/pi" + "@stdlib/constants/float32/pi", + "@stdlib/number/float32/base/from-word", + "@stdlib/number/float32/base/to-word" ] }, { @@ -74,10 +74,10 @@ "libpath": [], "dependencies": [ "@stdlib/math/base/assert/is-nanf", - "@stdlib/math/base/special/asinf", "@stdlib/math/base/special/sqrtf", - "@stdlib/constants/float32/half-pi", - "@stdlib/constants/float32/pi" + "@stdlib/constants/float32/pi", + "@stdlib/number/float32/base/from-word", + "@stdlib/number/float32/base/to-word" ] } ] diff --git a/lib/node_modules/@stdlib/math/base/special/acosf/scripts/evalpoly.js b/lib/node_modules/@stdlib/math/base/special/acosf/scripts/evalpoly.js new file mode 100644 index 000000000000..49c858a8eec7 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/acosf/scripts/evalpoly.js @@ -0,0 +1,120 @@ +/** +* @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. +*/ + +/* +* This script compiles modules for evaluating polynomial functions. If any polynomial coefficients change, this script should be rerun to update the compiled files. +*/ + +'use strict'; + +// MODULES // + +var resolve = require( 'path' ).resolve; +var readFileSync = require( '@stdlib/fs/read-file' ).sync; +var writeFileSync = require( '@stdlib/fs/write-file' ).sync; +var currentYear = require( '@stdlib/time/current-year' ); +var licenseHeader = require( '@stdlib/_tools/licenses/header' ); +var compile = require( '@stdlib/math/base/tools/evalpoly-compile' ); +var compileC = require( '@stdlib/math/base/tools/evalpoly-compile-c' ); +var substringBefore = require( '@stdlib/string/substring-before' ); +var substringAfter = require( '@stdlib/string/substring-after' ); +var format = require( '@stdlib/string/format' ); + + +// VARIABLES // + +// Polynomial coefficients ordered in ascending degree... +var P = [ + 1.6666586697e-01, + -4.2743422091e-02, + -8.6563630030e-03 +]; + +// Header to add to output files: +var header = licenseHeader( 'Apache-2.0', 'js', { + 'year': currentYear(), + 'copyright': 'The Stdlib Authors' +}); +header += '\n/* This is a generated file. Do not edit directly. */\n'; + + +// FUNCTIONS // + +/** +* Inserts a compiled function into file content. +* +* @private +* @param {string} text - source content +* @param {string} id - function identifier +* @param {string} str - function string +* @returns {string} updated content +*/ +function insert( text, id, str ) { + var before; + var after; + var begin; + var end; + + begin = '// BEGIN: '+id; + end = '// END: '+id; + + before = substringBefore( text, begin ); + after = substringAfter( text, end ); + + return format( '%s// BEGIN: %s\n\n%s\n%s%s', before, id, str, end, after ); +} + + +// MAIN // + +/** +* Main execution sequence. +* +* @private +*/ +function main() { + var fpath; + var copts; + var opts; + var file; + var str; + + opts = { + 'dtype': 'float32', + 'encoding': 'utf8' + }; + + fpath = resolve( __dirname, '..', 'lib', 'poly_p.js' ); + str = header + compile( P, opts ); + writeFileSync( fpath, str, opts ); + + copts = { + 'dtype': 'float', + 'name': 'poly_p' + }; + + fpath = resolve( __dirname, '..', 'src', 'main.c' ); + file = readFileSync( fpath, opts ); + + str = compileC( P, copts ); + file = insert( file, copts.name, str ); + + writeFileSync( fpath, file, opts ); +} + +main(); diff --git a/lib/node_modules/@stdlib/math/base/special/acosf/src/main.c b/lib/node_modules/@stdlib/math/base/special/acosf/src/main.c index 4f1b5cebb7de..947f0e048f9b 100644 --- a/lib/node_modules/@stdlib/math/base/special/acosf/src/main.c +++ b/lib/node_modules/@stdlib/math/base/special/acosf/src/main.c @@ -18,26 +18,50 @@ * * ## Notice * -* The original C code, long comment, copyright, license, and constants are from [Cephes]{@link http://www.netlib.org/cephes}. The implementation follows the original, but has been modified according to project conventions. +* The following copyright, license, and long comment were part of the original implementation available as part of [FreeBSD]{@link https://svnweb.freebsd.org/base/release/12.2.0/lib/msun/src/e_atanh.c?view=markup}. The implementation follows the original, but has been modified according to project conventions. * * ```text -* Copyright 1984, 1995, 2000 by Stephen L. Moshier +* Copyright (C) 2004 by Sun Microsystems, Inc. All rights reserved. * -* Some software in this archive may be from the book _Methods and Programs for Mathematical Functions_ (Prentice-Hall or Simon & Schuster International, 1989) or from the Cephes Mathematical Library, a commercial product. In either event, it is copyrighted by the author. What you see here may be used freely but it comes with no support or guarantee. -* -* Stephen L. Moshier -* moshier@na-net.ornl.gov +* Developed at SunPro, a Sun Microsystems, Inc. business. +* Permission to use, copy, modify, and distribute this +* software is freely granted, provided that this notice +* is preserved. * ``` */ -#include "stdlib/math/base/special/asinf.h" #include "stdlib/math/base/special/acosf.h" #include "stdlib/math/base/assert/is_nanf.h" #include "stdlib/math/base/special/sqrtf.h" -#include "stdlib/constants/float32/half_pi.h" +#include "stdlib/number/float32/base/from_word.h" +#include "stdlib/number/float32/base/to_word.h" #include "stdlib/constants/float32/pi.h" #include +static const float PIO2_HI = 1.5707962513e+00f; +static const float PIO2_LO = 7.5497894159e-08f; +static const float QS1 = -7.0662963390e-01f; + +// BEGIN: poly_p + +/** +* Evaluates a polynomial. +* +* ## Notes +* +* - The implementation uses [Horner's rule][horners-method] for efficient computation. +* +* [horners-method]: https://en.wikipedia.org/wiki/Horner%27s_method +* +* @param x value at which to evaluate the polynomial +* @return evaluated polynomial +*/ +static float poly_p( const float x ) { + return 0.16666586697f + (x * (-0.042743422091f + (x * -0.008656363003f))); +} + +// END: poly_p + /** * Computes the arccosine of a single-precision floating-point number. * @@ -77,17 +101,62 @@ * // returns 0.0f */ float stdlib_base_acosf( const float x ) { + int32_t idf; + int32_t hx; + int32_t ix; + float df; + float z; + float p; + float q; + float r; + float w; + float s; + float c; + if ( stdlib_base_is_nanf( x ) ) { return 0.0f / 0.0f; // NaN } if ( x < -1.0f || x > 1.0f ) { return 0.0f / 0.0f; // NaN } - if ( x < -0.5 ) { - return STDLIB_CONSTANT_FLOAT32_PI - ( 2.0f * stdlib_base_asinf( stdlib_base_sqrtf( 0.5f * ( 1.0f + x ) ) ) ); + stdlib_base_float32_to_word( x, &hx ); + ix = hx & 0x7fffffff; + if ( ix >= 0x3f800000 ) { + if ( ix == 0x3f800000 ) { + if ( hx == 0x3f800000 ) { + return 0.0f; + } + return STDLIB_CONSTANT_FLOAT32_PI + ( 2.0f * PIO2_LO ); + } + return 0.0f / 0.0f; // NaN } - if ( x > 0.5f ) { - return 2.0f * stdlib_base_asinf( stdlib_base_sqrtf( 0.5f * ( 1.0f - x ) ) ); + if ( ix < 0x3f000000 ) { + if ( ix <= 0x32800000 ) { + return PIO2_HI + PIO2_LO; + } + z = x * x; + p = z * poly_p( z ); + q = 1.0f + ( z * QS1 ); + r = p / q; + return PIO2_HI - ( x - ( PIO2_LO - ( x * r ) ) ); + } else if ( hx < 0 ) { + z = ( 1.0f + x ) * 0.5f; + p = z * poly_p( z ); + q = 1.0f + ( z * QS1 ); + s = stdlib_base_sqrtf( z ); + r = p / q; + w = ( r * s ) - PIO2_LO; + return STDLIB_CONSTANT_FLOAT32_PI - ( 2.0f * ( s + w ) ); } - return STDLIB_CONSTANT_FLOAT32_HALF_PI - stdlib_base_asinf( x ); + z = ( 1.0f - x ) * 0.5f; + s = stdlib_base_sqrtf( z ); + df = s; + stdlib_base_float32_to_word( df, &idf ); + stdlib_base_float32_from_word( idf & 0xfffff000, &df ); + c = ( z - ( df * df ) ) / ( s + df ); + p = z * poly_p( z ); + q = 1.0f + ( z * QS1 ); + r = p / q; + w = ( r * s ) + c; + return 2.0f * ( df + w ); } diff --git a/lib/node_modules/@stdlib/math/base/special/acosf/test/test.js b/lib/node_modules/@stdlib/math/base/special/acosf/test/test.js index 4ed3af42dac0..3d08a659fae7 100644 --- a/lib/node_modules/@stdlib/math/base/special/acosf/test/test.js +++ b/lib/node_modules/@stdlib/math/base/special/acosf/test/test.js @@ -26,6 +26,7 @@ var EPS = require( '@stdlib/constants/float32/eps' ); var uniform = require( '@stdlib/random/base/uniform' ); var abs = require( '@stdlib/math/base/special/abs' ); var float64ToFloat32 = require( '@stdlib/number/float64/base/to-float32' ); +var PIF = require( '@stdlib/constants/float32/pi' ); var acosf = require( './../lib' ); @@ -36,6 +37,11 @@ var smallNegative = require( './fixtures/julia/small_negative.json' ); var smallPositive = require( './fixtures/julia/small_positive.json' ); +// VARIABLES // + +var PIO2_LO = 7.5497894159e-08; + + // TESTS // tape( 'main export is a function', function test( t ) { @@ -63,7 +69,7 @@ tape( 'the function computes the arccosine', function test( t ) { t.equal( y, e, 'x: '+x[ i ]+'. E: '+e ); } else { delta = abs( y - e ); - tol = 114.0 * EPS * abs( e ); + tol = 115.0 * EPS * abs( e ); t.ok( delta <= tol, 'within tolerance. x: '+x[ i ]+'. y: '+y+'. E: '+e+'. tol: '+tol+'. Δ: '+delta+'.' ); } } @@ -149,3 +155,23 @@ tape( 'the function returns `NaN` if provided a value greater than `+1`', functi } t.end(); }); + +tape( 'the function returns `0.0` if provided a value equal to `+1`', function test( t ) { + var v; + var e; + + v = acosf( 1.0 ); + e = 0.0; + t.equal( v, e, 'returns 0.0 when provided +1' ); + t.end(); +}); + +tape( 'the function returns `PI` if provided a value equal to `-1`', function test( t ) { + var v; + var e; + + v = acosf( -1.0 ); + e = float64ToFloat32( PIF + float64ToFloat32( 2 * PIO2_LO ) ); + t.equal( v, e, 'returns '+e+' when provided +1' ); + t.end(); +}); diff --git a/lib/node_modules/@stdlib/math/base/special/acosf/test/test.native.js b/lib/node_modules/@stdlib/math/base/special/acosf/test/test.native.js index ea7eac6628c9..fa91ef3dd359 100644 --- a/lib/node_modules/@stdlib/math/base/special/acosf/test/test.native.js +++ b/lib/node_modules/@stdlib/math/base/special/acosf/test/test.native.js @@ -27,6 +27,7 @@ var EPS = require( '@stdlib/constants/float32/eps' ); var uniform = require( '@stdlib/random/base/uniform' ); var abs = require( '@stdlib/math/base/special/abs' ); var float64ToFloat32 = require( '@stdlib/number/float64/base/to-float32' ); +var PIF = require( '@stdlib/constants/float32/pi' ); var tryRequire = require( '@stdlib/utils/try-require' ); @@ -43,6 +44,7 @@ var acosf = tryRequire( resolve( __dirname, './../lib/native.js' ) ); var opts = { 'skip': ( acosf instanceof Error ) }; +var PIO2_LO = 7.5497894159e-08; // TESTS // @@ -72,7 +74,7 @@ tape( 'the function computes the arccosine', opts, function test( t ) { t.equal( y, e, 'x: '+x[ i ]+'. E: '+e ); } else { delta = abs( y - e ); - tol = 114.0 * EPS * abs( e ); + tol = 1e7 * EPS * abs( e ); t.ok( delta <= tol, 'within tolerance. x: '+x[ i ]+'. y: '+y+'. E: '+e+'. tol: '+tol+'. Δ: '+delta+'.' ); } } @@ -158,3 +160,23 @@ tape( 'the function returns `NaN` if provided a value greater than `+1`', opts, } t.end(); }); + +tape( 'the function returns `0.0` if provided a value equal to `+1`', opts, function test( t ) { + var v; + var e; + + v = acosf( 1.0 ); + e = 0.0; + t.equal( v, e, 'returns 0.0 when provided +1' ); + t.end(); +}); + +tape( 'the function returns `PI` if provided a value equal to `-1`', opts, function test( t ) { + var v; + var e; + + v = acosf( -1.0 ); + e = float64ToFloat32( PIF + float64ToFloat32( 2 * PIO2_LO ) ); + t.equal( v, e, 'returns '+e+' when provided +1' ); + t.end(); +}); From 6a13a0b545170f39f2d8060ba5577853b3d52517 Mon Sep 17 00:00:00 2001 From: GUNJ JOSHI Date: Sat, 30 Mar 2024 01:05:29 +0530 Subject: [PATCH 05/16] refactor: changed the implementation to that of FreeBSD --- .../@stdlib/math/base/special/acosf/src/main.c | 14 +++----------- .../math/base/special/acosf/test/test.native.js | 2 +- 2 files changed, 4 insertions(+), 12 deletions(-) diff --git a/lib/node_modules/@stdlib/math/base/special/acosf/src/main.c b/lib/node_modules/@stdlib/math/base/special/acosf/src/main.c index 947f0e048f9b..48d7dc106148 100644 --- a/lib/node_modules/@stdlib/math/base/special/acosf/src/main.c +++ b/lib/node_modules/@stdlib/math/base/special/acosf/src/main.c @@ -101,9 +101,9 @@ static float poly_p( const float x ) { * // returns 0.0f */ float stdlib_base_acosf( const float x ) { - int32_t idf; - int32_t hx; - int32_t ix; + uint32_t idf; + uint32_t hx; + uint32_t ix; float df; float z; float p; @@ -139,14 +139,6 @@ float stdlib_base_acosf( const float x ) { q = 1.0f + ( z * QS1 ); r = p / q; return PIO2_HI - ( x - ( PIO2_LO - ( x * r ) ) ); - } else if ( hx < 0 ) { - z = ( 1.0f + x ) * 0.5f; - p = z * poly_p( z ); - q = 1.0f + ( z * QS1 ); - s = stdlib_base_sqrtf( z ); - r = p / q; - w = ( r * s ) - PIO2_LO; - return STDLIB_CONSTANT_FLOAT32_PI - ( 2.0f * ( s + w ) ); } z = ( 1.0f - x ) * 0.5f; s = stdlib_base_sqrtf( z ); diff --git a/lib/node_modules/@stdlib/math/base/special/acosf/test/test.native.js b/lib/node_modules/@stdlib/math/base/special/acosf/test/test.native.js index fa91ef3dd359..6a352767aa1d 100644 --- a/lib/node_modules/@stdlib/math/base/special/acosf/test/test.native.js +++ b/lib/node_modules/@stdlib/math/base/special/acosf/test/test.native.js @@ -74,7 +74,7 @@ tape( 'the function computes the arccosine', opts, function test( t ) { t.equal( y, e, 'x: '+x[ i ]+'. E: '+e ); } else { delta = abs( y - e ); - tol = 1e7 * EPS * abs( e ); + tol = 1e6 * EPS * abs( e ); t.ok( delta <= tol, 'within tolerance. x: '+x[ i ]+'. y: '+y+'. E: '+e+'. tol: '+tol+'. Δ: '+delta+'.' ); } } From 62c06e4c97f5afbc2e8a61992d5f986320041ad3 Mon Sep 17 00:00:00 2001 From: GUNJ JOSHI Date: Sun, 31 Mar 2024 01:05:09 +0530 Subject: [PATCH 06/16] Update main.js Signed-off-by: GUNJ JOSHI --- lib/node_modules/@stdlib/math/base/special/acosf/lib/main.js | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/lib/node_modules/@stdlib/math/base/special/acosf/lib/main.js b/lib/node_modules/@stdlib/math/base/special/acosf/lib/main.js index 9fed9e99c2c2..4ed527cc1f37 100644 --- a/lib/node_modules/@stdlib/math/base/special/acosf/lib/main.js +++ b/lib/node_modules/@stdlib/math/base/special/acosf/lib/main.js @@ -45,7 +45,7 @@ var polyp = require( './poly_p.js' ); // VARIABLES // var QS1 = -7.0662963390e-01; -var PIO2_HI = 1.5707962513e+00; +var PIO2_HI = 1.5707962513e+00; var PIO2_LO = 7.5497894159e-08; From 80d567afa34bac2adcb56e41a5c5931beb59262d Mon Sep 17 00:00:00 2001 From: Athan Date: Mon, 1 Apr 2024 19:11:51 -0700 Subject: [PATCH 07/16] Apply suggestions from code review Signed-off-by: Athan --- .../math/base/special/acosf/src/main.c | 28 ------------------- 1 file changed, 28 deletions(-) diff --git a/lib/node_modules/@stdlib/math/base/special/acosf/src/main.c b/lib/node_modules/@stdlib/math/base/special/acosf/src/main.c index 48d7dc106148..0b95dfc74082 100644 --- a/lib/node_modules/@stdlib/math/base/special/acosf/src/main.c +++ b/lib/node_modules/@stdlib/math/base/special/acosf/src/main.c @@ -65,34 +65,6 @@ static float poly_p( const float x ) { /** * Computes the arccosine of a single-precision floating-point number. * -* ## Method -* -* - Analytically, -* -* ```tex -* \operatorname{acosf}(x) = \frac{\pi}{2} - \operatorname{asinf}(x) -* ``` -* -* However, if \\(\|x\|\\) is near \\(1\\), there is cancellation error in subtracting \\(\opertorname{asinf}(x)\\) from \\(\pi/2\\). Hence, if \\(x < -0.5\\), -* -* ```tex -* \operatorname{acosf}(x) = \pi - 2.0 \cdot \operatorname{asinf}(\sqrt{(1+x)/2}) -* ``` -* -* or, if \\(x > +0.5\\), -* -* ```tex -* \operatorname{acosf}(x) = 2.0 \cdot \operatorname{asinf}( \sqrt{(1-x)/2} )} -* ``` -* -* ## Notes -* -* - Relative error: -* -* | arithmetic | domain | # trials | peak | rms | -* |:-----------|:-------|:---------|:--------|:--------| -* | IEEE | -1, 1 | 10^5 | 1.4e-7 | 4.2e-8 | -* * @param x input value * @return arccosine (in radians) * From 2c3c2f93aff48aa818178c02b697c05a22d7cb13 Mon Sep 17 00:00:00 2001 From: Athan Date: Mon, 1 Apr 2024 19:16:17 -0700 Subject: [PATCH 08/16] Apply suggestions from code review Signed-off-by: Athan --- lib/node_modules/@stdlib/math/base/special/acosf/src/main.c | 4 ++-- 1 file changed, 2 insertions(+), 2 deletions(-) diff --git a/lib/node_modules/@stdlib/math/base/special/acosf/src/main.c b/lib/node_modules/@stdlib/math/base/special/acosf/src/main.c index 0b95dfc74082..f37be075f5d3 100644 --- a/lib/node_modules/@stdlib/math/base/special/acosf/src/main.c +++ b/lib/node_modules/@stdlib/math/base/special/acosf/src/main.c @@ -18,10 +18,10 @@ * * ## Notice * -* The following copyright, license, and long comment were part of the original implementation available as part of [FreeBSD]{@link https://svnweb.freebsd.org/base/release/12.2.0/lib/msun/src/e_atanh.c?view=markup}. The implementation follows the original, but has been modified according to project conventions. +* The following copyright, license, and long comment were part of the original implementation available as part of [FreeBSD]{@link https://svnweb.freebsd.org/base/release/12.2.0/lib/msun/src/e_acosf.c?view=markup}. The implementation follows the original, but has been modified according to project conventions. * * ```text -* Copyright (C) 2004 by Sun Microsystems, Inc. All rights reserved. +* Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this From e0ec49cb530d55ff025c6a6d0ee43419f3ea761d Mon Sep 17 00:00:00 2001 From: Athan Reines Date: Mon, 1 Apr 2024 19:17:30 -0700 Subject: [PATCH 09/16] docs: add comments --- lib/node_modules/@stdlib/math/base/special/acosf/src/main.c | 4 ++++ 1 file changed, 4 insertions(+) diff --git a/lib/node_modules/@stdlib/math/base/special/acosf/src/main.c b/lib/node_modules/@stdlib/math/base/special/acosf/src/main.c index f37be075f5d3..96a7b2ac6d45 100644 --- a/lib/node_modules/@stdlib/math/base/special/acosf/src/main.c +++ b/lib/node_modules/@stdlib/math/base/special/acosf/src/main.c @@ -42,6 +42,8 @@ static const float PIO2_HI = 1.5707962513e+00f; static const float PIO2_LO = 7.5497894159e-08f; static const float QS1 = -7.0662963390e-01f; +/* Begin auto-generated functions. The following functions are auto-generated. Do not edit directly. */ + // BEGIN: poly_p /** @@ -62,6 +64,8 @@ static float poly_p( const float x ) { // END: poly_p +/* End auto-generated functions. */ + /** * Computes the arccosine of a single-precision floating-point number. * From 218acba53ddfc42235a760cf60b88d58fa21ff25 Mon Sep 17 00:00:00 2001 From: GUNJ JOSHI Date: Tue, 2 Apr 2024 09:05:26 +0530 Subject: [PATCH 10/16] refactor: add README examples --- .../@stdlib/math/base/special/acosf/README.md | 10 ++++++++-- 1 file changed, 8 insertions(+), 2 deletions(-) diff --git a/lib/node_modules/@stdlib/math/base/special/acosf/README.md b/lib/node_modules/@stdlib/math/base/special/acosf/README.md index 5b2ad02a530b..ba4e93aa6127 100644 --- a/lib/node_modules/@stdlib/math/base/special/acosf/README.md +++ b/lib/node_modules/@stdlib/math/base/special/acosf/README.md @@ -38,8 +38,14 @@ Computes the [arccosine][arccosine] of a single-precision floating-point number var v = acosf( 1.0 ); // returns 0.0 -v = acosf( 0.707 ); +v = acosf( 0.707 ); // ~pi/4 // returns ~0.7855 + +v = acosf( 0.866 ); // ~pi/6 +// returns ~0.5236 + +v = acosf( NaN ); +// returns NaN ``` The domain of `x` is restricted to `[-1,1]`. If `|x| > 1`, the function returns `NaN`. @@ -104,7 +110,7 @@ Computes the [arccosine][arccosine] of a single-precision floating-point number float out = stdlib_base_acosf( 1.0f ); // returns 0.0f -out = stdlib_base_acosf( 0.707f ); +out = stdlib_base_acosf( 0.707f ); // ~pi/4 // returns ~0.7855f ``` From 94d5d355cf1e9e74bc8b4b8d548dfcae4f75b143 Mon Sep 17 00:00:00 2001 From: GUNJ JOSHI Date: Tue, 2 Apr 2024 09:08:01 +0530 Subject: [PATCH 11/16] Update lib/node_modules/@stdlib/math/base/special/acosf/src/main.c Co-authored-by: Athan Signed-off-by: GUNJ JOSHI --- lib/node_modules/@stdlib/math/base/special/acosf/src/main.c | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/lib/node_modules/@stdlib/math/base/special/acosf/src/main.c b/lib/node_modules/@stdlib/math/base/special/acosf/src/main.c index 96a7b2ac6d45..316b2d6783b3 100644 --- a/lib/node_modules/@stdlib/math/base/special/acosf/src/main.c +++ b/lib/node_modules/@stdlib/math/base/special/acosf/src/main.c @@ -39,7 +39,7 @@ #include static const float PIO2_HI = 1.5707962513e+00f; -static const float PIO2_LO = 7.5497894159e-08f; +static volatile float PIO2_LO = 7.5497894159e-08f; static const float QS1 = -7.0662963390e-01f; /* Begin auto-generated functions. The following functions are auto-generated. Do not edit directly. */ From 552ff10992d38ece6dfc78c16e96f9403fad9798 Mon Sep 17 00:00:00 2001 From: Athan Reines Date: Mon, 1 Apr 2024 21:34:17 -0700 Subject: [PATCH 12/16] fix: refactor C implementation and adjust test tolerances --- .../math/base/special/acosf/manifest.json | 3 + .../math/base/special/acosf/src/main.c | 72 ++++++++++++++----- .../math/base/special/acosf/test/test.js | 29 +++----- .../base/special/acosf/test/test.native.js | 27 +++---- 4 files changed, 73 insertions(+), 58 deletions(-) diff --git a/lib/node_modules/@stdlib/math/base/special/acosf/manifest.json b/lib/node_modules/@stdlib/math/base/special/acosf/manifest.json index 09f973a410c3..0f61124c0028 100644 --- a/lib/node_modules/@stdlib/math/base/special/acosf/manifest.json +++ b/lib/node_modules/@stdlib/math/base/special/acosf/manifest.json @@ -39,6 +39,7 @@ "@stdlib/math/base/napi/unary", "@stdlib/math/base/assert/is-nanf", "@stdlib/math/base/special/sqrtf", + "@stdlib/constants/float32/abs-mask", "@stdlib/constants/float32/pi", "@stdlib/number/float32/base/from-word", "@stdlib/number/float32/base/to-word" @@ -57,6 +58,7 @@ "dependencies": [ "@stdlib/math/base/assert/is-nanf", "@stdlib/math/base/special/sqrtf", + "@stdlib/constants/float32/abs-mask", "@stdlib/constants/float32/pi", "@stdlib/number/float32/base/from-word", "@stdlib/number/float32/base/to-word" @@ -75,6 +77,7 @@ "dependencies": [ "@stdlib/math/base/assert/is-nanf", "@stdlib/math/base/special/sqrtf", + "@stdlib/constants/float32/abs-mask", "@stdlib/constants/float32/pi", "@stdlib/number/float32/base/from-word", "@stdlib/number/float32/base/to-word" diff --git a/lib/node_modules/@stdlib/math/base/special/acosf/src/main.c b/lib/node_modules/@stdlib/math/base/special/acosf/src/main.c index 96a7b2ac6d45..42a8ef1c7b4f 100644 --- a/lib/node_modules/@stdlib/math/base/special/acosf/src/main.c +++ b/lib/node_modules/@stdlib/math/base/special/acosf/src/main.c @@ -36,10 +36,16 @@ #include "stdlib/number/float32/base/from_word.h" #include "stdlib/number/float32/base/to_word.h" #include "stdlib/constants/float32/pi.h" +#include "stdlib/constants/float32/abs_mask.h" #include -static const float PIO2_HI = 1.5707962513e+00f; -static const float PIO2_LO = 7.5497894159e-08f; +static const float ALMOST_PI = 3.1415925026e+00f; // 0 10000000 10010010000111111011010 => 0x40490fda +static const float PIO2_HI = 1.5707962513e+00f; // 0 01111111 10010010000111111011010 => 0x3fc90fda +static const float PIO2_LO = 7.5497894159e-08f; // 0 01100111 01000100010000101101000 => 0x33a22168 +static const int32_t ONE = 0x3f800000; // 1.0 => 0 01111111 00000000000000000000000 => 1065353216 => 0x3f800000 +static const int32_t ONE_HALF = 0x3f000000; // 0.5 => 0 01111110 00000000000000000000000 => 1056964608 => 0x3f000000 +static const int32_t SMALL = 0x32800000; // 2^-26 => 0 01100101 00000000000000000000000 => 847249408 => 0x32800000 +static const int32_t MASK_LO = 0xfffff000; // 1 11111111 11111111111000000000000 => 4294963200 => 0xfffff000 static const float QS1 = -7.0662963390e-01f; /* Begin auto-generated functions. The following functions are auto-generated. Do not edit directly. */ @@ -77,9 +83,11 @@ static float poly_p( const float x ) { * // returns 0.0f */ float stdlib_base_acosf( const float x ) { - uint32_t idf; - uint32_t hx; - uint32_t ix; + uint32_t uidf; + uint32_t uhx; + int32_t idf; + int32_t hx; + int32_t ix; float df; float z; float p; @@ -95,20 +103,31 @@ float stdlib_base_acosf( const float x ) { if ( x < -1.0f || x > 1.0f ) { return 0.0f / 0.0f; // NaN } - stdlib_base_float32_to_word( x, &hx ); - ix = hx & 0x7fffffff; - if ( ix >= 0x3f800000 ) { - if ( ix == 0x3f800000 ) { - if ( hx == 0x3f800000 ) { - return 0.0f; + // Reinterpret the input value as a 32-bit integer word: + stdlib_base_float32_to_word( x, &uhx ); + hx = (int32_t)uhx; + + // Turn off the sign bit: + ix = hx & STDLIB_CONSTANT_FLOAT32_ABS_MASK; + + // Case: |x| >= 1 + if ( ix >= ONE ) { + // Case: |x| == 1 + if ( ix == ONE ) { + // Case: x == 1 + if ( hx > 0 ) { + return 0.0f; // acos(1) = 0 } - return STDLIB_CONSTANT_FLOAT32_PI + ( 2.0f * PIO2_LO ); + // Case: x == -1 + return ALMOST_PI + ( 2.0f * PIO2_LO ); // acos(-1) = π } - return 0.0f / 0.0f; // NaN + return 0.0f / 0.0f; // NaN as |x|>1 is outside the domain of acos } - if ( ix < 0x3f000000 ) { - if ( ix <= 0x32800000 ) { - return PIO2_HI + PIO2_LO; + // Case: |x| < 0.5 + if ( ix < ONE_HALF ) { + // Case: |x| < 2^-26 + if ( ix <= SMALL ) { + return PIO2_HI + PIO2_LO; // acos(~0) = π/2 } z = x * x; p = z * poly_p( z ); @@ -116,11 +135,26 @@ float stdlib_base_acosf( const float x ) { r = p / q; return PIO2_HI - ( x - ( PIO2_LO - ( x * r ) ) ); } - z = ( 1.0f - x ) * 0.5f; + // Case: x < -0.5 + if ( hx < 0 ) { // x < -0.5 + z = 0.5f * ( 1.0f + x ); + p = z * poly_p( z ); + q = 1.0f + ( z * QS1 ); + s = stdlib_base_sqrtf( z ); + r = p / q; + w = ( r * s ) - PIO2_LO; + return ALMOST_PI - ( 2.0f * ( s + w ) ); + } + // Case: x > 0.5 + z = 0.5f * ( 1.0f - x ); s = stdlib_base_sqrtf( z ); + df = s; - stdlib_base_float32_to_word( df, &idf ); - stdlib_base_float32_from_word( idf & 0xfffff000, &df ); + stdlib_base_float32_to_word( df, &uidf ); + + idf = (int32_t)uidf; + stdlib_base_float32_from_word( (uint32_t)( idf&MASK_LO ), &df ); + c = ( z - ( df * df ) ) / ( s + df ); p = z * poly_p( z ); q = 1.0f + ( z * QS1 ); diff --git a/lib/node_modules/@stdlib/math/base/special/acosf/test/test.js b/lib/node_modules/@stdlib/math/base/special/acosf/test/test.js index 3d08a659fae7..024d64c7839a 100644 --- a/lib/node_modules/@stdlib/math/base/special/acosf/test/test.js +++ b/lib/node_modules/@stdlib/math/base/special/acosf/test/test.js @@ -26,7 +26,7 @@ var EPS = require( '@stdlib/constants/float32/eps' ); var uniform = require( '@stdlib/random/base/uniform' ); var abs = require( '@stdlib/math/base/special/abs' ); var float64ToFloat32 = require( '@stdlib/number/float64/base/to-float32' ); -var PIF = require( '@stdlib/constants/float32/pi' ); +var PI = require( '@stdlib/constants/float32/pi' ); var acosf = require( './../lib' ); @@ -37,11 +37,6 @@ var smallNegative = require( './fixtures/julia/small_negative.json' ); var smallPositive = require( './fixtures/julia/small_positive.json' ); -// VARIABLES // - -var PIO2_LO = 7.5497894159e-08; - - // TESTS // tape( 'main export is a function', function test( t ) { @@ -130,7 +125,7 @@ tape( 'the function computes the arccosine (small positive values)', function te tape( 'the function returns `NaN` if provided `NaN`', function test( t ) { var v = acosf( NaN ); - t.equal( isnanf( v ), true, 'returns NaN' ); + t.equal( isnanf( v ), true, 'returns expected value' ); t.end(); }); @@ -140,7 +135,7 @@ tape( 'the function returns `NaN` if provided a value less than `-1`', function for ( i = 0; i < 1e3; i++ ) { v = uniform( -1.0e6, -1.0 - EPS ); - t.equal( isnanf( acosf( v ) ), true, 'returns NaN when provided '+v ); + t.equal( isnanf( acosf( v ) ), true, 'returns expected value when provided '+v ); } t.end(); }); @@ -151,27 +146,19 @@ tape( 'the function returns `NaN` if provided a value greater than `+1`', functi for ( i = 0; i < 1e3; i++ ) { v = uniform( 1.0 + EPS, 1.0e6 ); - t.equal( isnanf( acosf( v ) ), true, 'returns NaN when provided '+v ); + t.equal( isnanf( acosf( v ) ), true, 'returns expected value when provided '+v ); } t.end(); }); tape( 'the function returns `0.0` if provided a value equal to `+1`', function test( t ) { - var v; - var e; - - v = acosf( 1.0 ); - e = 0.0; - t.equal( v, e, 'returns 0.0 when provided +1' ); + var v = acosf( 1.0 ); + t.equal( v, 0.0, 'returns expected value' ); t.end(); }); tape( 'the function returns `PI` if provided a value equal to `-1`', function test( t ) { - var v; - var e; - - v = acosf( -1.0 ); - e = float64ToFloat32( PIF + float64ToFloat32( 2 * PIO2_LO ) ); - t.equal( v, e, 'returns '+e+' when provided +1' ); + var v = acosf( -1.0 ); + t.equal( v, PI, 'returns expected value' ); t.end(); }); diff --git a/lib/node_modules/@stdlib/math/base/special/acosf/test/test.native.js b/lib/node_modules/@stdlib/math/base/special/acosf/test/test.native.js index 6a352767aa1d..be018761563e 100644 --- a/lib/node_modules/@stdlib/math/base/special/acosf/test/test.native.js +++ b/lib/node_modules/@stdlib/math/base/special/acosf/test/test.native.js @@ -27,7 +27,7 @@ var EPS = require( '@stdlib/constants/float32/eps' ); var uniform = require( '@stdlib/random/base/uniform' ); var abs = require( '@stdlib/math/base/special/abs' ); var float64ToFloat32 = require( '@stdlib/number/float64/base/to-float32' ); -var PIF = require( '@stdlib/constants/float32/pi' ); +var PI = require( '@stdlib/constants/float32/pi' ); var tryRequire = require( '@stdlib/utils/try-require' ); @@ -44,7 +44,6 @@ var acosf = tryRequire( resolve( __dirname, './../lib/native.js' ) ); var opts = { 'skip': ( acosf instanceof Error ) }; -var PIO2_LO = 7.5497894159e-08; // TESTS // @@ -74,7 +73,7 @@ tape( 'the function computes the arccosine', opts, function test( t ) { t.equal( y, e, 'x: '+x[ i ]+'. E: '+e ); } else { delta = abs( y - e ); - tol = 1e6 * EPS * abs( e ); + tol = 115.0 * EPS * abs( e ); t.ok( delta <= tol, 'within tolerance. x: '+x[ i ]+'. y: '+y+'. E: '+e+'. tol: '+tol+'. Δ: '+delta+'.' ); } } @@ -135,7 +134,7 @@ tape( 'the function computes the arccosine (small positive values)', opts, funct tape( 'the function returns `NaN` if provided `NaN`', opts, function test( t ) { var v = acosf( NaN ); - t.equal( isnanf( v ), true, 'returns NaN' ); + t.equal( isnanf( v ), true, 'returns expected value' ); t.end(); }); @@ -145,7 +144,7 @@ tape( 'the function returns `NaN` if provided a value less than `-1`', opts, fun for ( i = 0; i < 1e3; i++ ) { v = uniform( -1.0e6, -1.0 - EPS ); - t.equal( isnanf( acosf( v ) ), true, 'returns NaN when provided '+v ); + t.equal( isnanf( acosf( v ) ), true, 'returns expected value when provided '+v ); } t.end(); }); @@ -156,27 +155,19 @@ tape( 'the function returns `NaN` if provided a value greater than `+1`', opts, for ( i = 0; i < 1e3; i++ ) { v = uniform( 1.0 + EPS, 1.0e6 ); - t.equal( isnanf( acosf( v ) ), true, 'returns NaN when provided '+v ); + t.equal( isnanf( acosf( v ) ), true, 'returns expected value when provided '+v ); } t.end(); }); tape( 'the function returns `0.0` if provided a value equal to `+1`', opts, function test( t ) { - var v; - var e; - - v = acosf( 1.0 ); - e = 0.0; - t.equal( v, e, 'returns 0.0 when provided +1' ); + var v = acosf( 1.0 ); + t.equal( v, 0.0, 'returns expected value' ); t.end(); }); tape( 'the function returns `PI` if provided a value equal to `-1`', opts, function test( t ) { - var v; - var e; - - v = acosf( -1.0 ); - e = float64ToFloat32( PIF + float64ToFloat32( 2 * PIO2_LO ) ); - t.equal( v, e, 'returns '+e+' when provided +1' ); + var v = acosf( -1.0 ); + t.equal( v, PI, 'returns expected value' ); t.end(); }); From d3df99b3674240a226d239dc51266622028e4c7f Mon Sep 17 00:00:00 2001 From: Athan Reines Date: Mon, 1 Apr 2024 21:35:23 -0700 Subject: [PATCH 13/16] fix: use correct link and copyright year --- .../math/base/special/acosf/lib/main.js | 32 ++----------------- 1 file changed, 2 insertions(+), 30 deletions(-) diff --git a/lib/node_modules/@stdlib/math/base/special/acosf/lib/main.js b/lib/node_modules/@stdlib/math/base/special/acosf/lib/main.js index 4ed527cc1f37..009ff52a47c2 100644 --- a/lib/node_modules/@stdlib/math/base/special/acosf/lib/main.js +++ b/lib/node_modules/@stdlib/math/base/special/acosf/lib/main.js @@ -18,10 +18,10 @@ * * ## Notice * -* The following copyright, license, and long comment were part of the original implementation available as part of [FreeBSD]{@link https://svnweb.freebsd.org/base/release/12.2.0/lib/msun/src/e_atanh.c?view=markup}. The implementation follows the original, but has been modified according to project conventions. +* The following copyright, license, and long comment were part of the original implementation available as part of [FreeBSD]{@link https://svnweb.freebsd.org/base/release/12.2.0/lib/msun/src/e_acosf.c?view=markup}. The implementation follows the original, but has been modified according to project conventions. * * ```text -* Copyright (C) 2004 by Sun Microsystems, Inc. All rights reserved. +* Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. * * Developed at SunPro, a Sun Microsystems, Inc. business. * Permission to use, copy, modify, and distribute this @@ -54,34 +54,6 @@ var PIO2_LO = 7.5497894159e-08; /** * Computes the arccosine of a single-precision floating-point number. * -* ## Method -* -* - Analytically, -* -* ```tex -* \operatorname{acosf}(x) = \frac{\pi}{2} - \operatorname{asinf}(x) -* ``` -* -* However, if \\(\|x\|\\) is near \\(1\\), there is cancellation error in subtracting \\(\opertorname{asinf}(x)\\) from \\(\pi/2\\). Hence, if \\(x < -0.5\\), -* -* ```tex -* \operatorname{acosf}(x) = \pi - 2.0 \cdot \operatorname{asinf}(\sqrt{(1+x)/2}) -* ``` -* -* or, if \\(x > +0.5\\), -* -* ```tex -* \operatorname{acosf}(x) = 2.0 \cdot \operatorname{asinf}( \sqrt{(1-x)/2} )} -* ``` -* -* ## Notes -* -* - Relative error: -* -* | arithmetic | domain | # trials | peak | rms | -* |:-----------|:-------|:---------|:--------|:--------| -* | IEEE | -1, 1 | 10^5 | 1.4e-7 | 4.2e-8 | -* * @param {number} x - input value * @returns {number} arccosine (in radians) * From efe04eb3d3b36f4ccd384aa98bf2d6479e84f362 Mon Sep 17 00:00:00 2001 From: Athan Reines Date: Mon, 1 Apr 2024 21:39:41 -0700 Subject: [PATCH 14/16] fix: revert removal of constant --- lib/node_modules/@stdlib/math/base/special/acosf/src/main.c | 1 + 1 file changed, 1 insertion(+) diff --git a/lib/node_modules/@stdlib/math/base/special/acosf/src/main.c b/lib/node_modules/@stdlib/math/base/special/acosf/src/main.c index fd65337de038..5511ddd67ae6 100644 --- a/lib/node_modules/@stdlib/math/base/special/acosf/src/main.c +++ b/lib/node_modules/@stdlib/math/base/special/acosf/src/main.c @@ -46,6 +46,7 @@ static const int32_t ONE = 0x3f800000; // 1.0 => 0 01111111 00000000 static const int32_t ONE_HALF = 0x3f000000; // 0.5 => 0 01111110 00000000000000000000000 => 1056964608 => 0x3f000000 static const int32_t SMALL = 0x32800000; // 2^-26 => 0 01100101 00000000000000000000000 => 847249408 => 0x32800000 static const int32_t MASK_LO = 0xfffff000; // 1 11111111 11111111111000000000000 => 4294963200 => 0xfffff000 +static const float QS1 = -7.0662963390e-01; /* Begin auto-generated functions. The following functions are auto-generated. Do not edit directly. */ From e4db968fdc5567f143da0d10d494657427047f3a Mon Sep 17 00:00:00 2001 From: Athan Reines Date: Mon, 1 Apr 2024 22:13:14 -0700 Subject: [PATCH 15/16] refactor: matching branching in C implementation --- .../math/base/special/acosf/lib/main.js | 42 +++++++++++++------ .../math/base/special/acosf/manifest.json | 3 -- .../math/base/special/acosf/src/main.c | 6 +-- 3 files changed, 31 insertions(+), 20 deletions(-) diff --git a/lib/node_modules/@stdlib/math/base/special/acosf/lib/main.js b/lib/node_modules/@stdlib/math/base/special/acosf/lib/main.js index 009ff52a47c2..211c2d0dd4f1 100644 --- a/lib/node_modules/@stdlib/math/base/special/acosf/lib/main.js +++ b/lib/node_modules/@stdlib/math/base/special/acosf/lib/main.js @@ -34,19 +34,25 @@ // MODULES // +var float64ToFloat32 = require( '@stdlib/number/float64/base/to-float32' ); var isnanf = require( '@stdlib/math/base/assert/is-nanf' ); var sqrtf = require( '@stdlib/math/base/special/sqrtf' ); -var float64ToFloat32 = require( '@stdlib/number/float64/base/to-float32' ); -var PIF = require( '@stdlib/constants/float32/pi' ); var absf = require( '@stdlib/math/base/special/absf' ); +var toWord = require( '@stdlib/number/float32/base/to-word' ); +var fromWord = require( '@stdlib/number/float32/base/from-word' ); +var PI = require( '@stdlib/constants/float32/pi' ); var polyp = require( './poly_p.js' ); // VARIABLES // +var ALMOST_PI = 3.1415925026e+00; // 0 10000000 10010010000111111011010 => 0x40490fda +var PIO2_HI = 1.5707962513e+00; // 0 01111111 10010010000111111011010 => 0x3fc90fda +var PIO2_LO = 7.5497894159e-08; // 0 01100111 01000100010000101101000 => 0x33a22168 +var MASK_LO = 0xfffff000|0; // 1 11111111 11111111111000000000000 => 4294963200 => 0xfffff000 +var SMALL = 1.4901161193847656e-8; // 2^-26 var QS1 = -7.0662963390e-01; -var PIO2_HI = 1.5707962513e+00; -var PIO2_LO = 7.5497894159e-08; +var PIO2 = float64ToFloat32( PIO2_HI + PIO2_LO ); // MAIN // @@ -70,6 +76,9 @@ var PIO2_LO = 7.5497894159e-08; * // returns NaN */ function acosf( x ) { + var idf; + var df; + var ax; var z; var p; var q; @@ -81,7 +90,6 @@ function acosf( x ) { if ( isnanf( x ) ) { return NaN; } - x = float64ToFloat32( x ); if ( x < -1.0 || x > 1.0 ) { return NaN; } @@ -89,9 +97,14 @@ function acosf( x ) { return 0.0; } if ( x === -1.0 ) { - return float64ToFloat32( PIF + float64ToFloat32( 2.0 * PIO2_LO ) ); + return PI; } - if ( absf( x ) < 0.5 ) { + x = float64ToFloat32( x ); + ax = absf( x ); + if ( ax < 0.5 ) { + if ( ax <= SMALL ) { + return PIO2; // acos(~0) = π/2 + } z = float64ToFloat32( x * x ); p = float64ToFloat32( z * polyp( z ) ); q = float64ToFloat32( 1.0 + float64ToFloat32( z * QS1 ) ); @@ -99,22 +112,27 @@ function acosf( x ) { return float64ToFloat32( PIO2_HI - float64ToFloat32( x - float64ToFloat32( PIO2_LO - float64ToFloat32( x * r ) ) ) ); // eslint-disable-line max-len } if ( x < -0.5 ) { - z = float64ToFloat32( float64ToFloat32( 1.0 + x ) * 0.5 ); + z = float64ToFloat32( 0.5 * float64ToFloat32( 1.0 + x ) ); p = float64ToFloat32( z * polyp( z ) ); q = float64ToFloat32( 1.0 + float64ToFloat32( z * QS1 ) ); s = sqrtf( z ); r = float64ToFloat32( p / q ); w = float64ToFloat32( float64ToFloat32( r * s ) - PIO2_LO ); - return float64ToFloat32( PIF - float64ToFloat32( 2.0 * float64ToFloat32( s + w ) ) ); // eslint-disable-line max-len + return float64ToFloat32( ALMOST_PI - float64ToFloat32( 2.0 * float64ToFloat32( s + w ) ) ); // eslint-disable-line max-len } - z = float64ToFloat32( float64ToFloat32( 1.0 - x ) * 0.5 ); + // x > 0.5 + z = float64ToFloat32( 0.5 * float64ToFloat32( 1.0 - x ) ); s = sqrtf( z ); - c = float64ToFloat32( ( float64ToFloat32( z - float64ToFloat32( s * s ) ) ) / float64ToFloat32( 2 * s ) ); // eslint-disable-line max-len + + idf = toWord( s ); + df = fromWord( idf&MASK_LO ); + + c = float64ToFloat32( float64ToFloat32( z - float64ToFloat32( df * df ) ) / float64ToFloat32( s + df ) ); // eslint-disable-line max-len p = float64ToFloat32( z * polyp( z ) ); q = float64ToFloat32( 1.0 + float64ToFloat32( z * QS1 ) ); r = float64ToFloat32( p / q ); w = float64ToFloat32( float64ToFloat32( r * s ) + c ); - return float64ToFloat32( 2.0 * float64ToFloat32( s + w ) ); + return float64ToFloat32( 2.0 * float64ToFloat32( df + w ) ); } diff --git a/lib/node_modules/@stdlib/math/base/special/acosf/manifest.json b/lib/node_modules/@stdlib/math/base/special/acosf/manifest.json index 0f61124c0028..a8b7af005a41 100644 --- a/lib/node_modules/@stdlib/math/base/special/acosf/manifest.json +++ b/lib/node_modules/@stdlib/math/base/special/acosf/manifest.json @@ -40,7 +40,6 @@ "@stdlib/math/base/assert/is-nanf", "@stdlib/math/base/special/sqrtf", "@stdlib/constants/float32/abs-mask", - "@stdlib/constants/float32/pi", "@stdlib/number/float32/base/from-word", "@stdlib/number/float32/base/to-word" ] @@ -59,7 +58,6 @@ "@stdlib/math/base/assert/is-nanf", "@stdlib/math/base/special/sqrtf", "@stdlib/constants/float32/abs-mask", - "@stdlib/constants/float32/pi", "@stdlib/number/float32/base/from-word", "@stdlib/number/float32/base/to-word" ] @@ -78,7 +76,6 @@ "@stdlib/math/base/assert/is-nanf", "@stdlib/math/base/special/sqrtf", "@stdlib/constants/float32/abs-mask", - "@stdlib/constants/float32/pi", "@stdlib/number/float32/base/from-word", "@stdlib/number/float32/base/to-word" ] diff --git a/lib/node_modules/@stdlib/math/base/special/acosf/src/main.c b/lib/node_modules/@stdlib/math/base/special/acosf/src/main.c index 5511ddd67ae6..e60abf8ad424 100644 --- a/lib/node_modules/@stdlib/math/base/special/acosf/src/main.c +++ b/lib/node_modules/@stdlib/math/base/special/acosf/src/main.c @@ -35,7 +35,6 @@ #include "stdlib/math/base/special/sqrtf.h" #include "stdlib/number/float32/base/from_word.h" #include "stdlib/number/float32/base/to_word.h" -#include "stdlib/constants/float32/pi.h" #include "stdlib/constants/float32/abs_mask.h" #include @@ -100,9 +99,6 @@ float stdlib_base_acosf( const float x ) { if ( stdlib_base_is_nanf( x ) ) { return 0.0f / 0.0f; // NaN } - if ( x < -1.0f || x > 1.0f ) { - return 0.0f / 0.0f; // NaN - } // Reinterpret the input value as a 32-bit integer word: stdlib_base_float32_to_word( x, &uhx ); hx = (int32_t)uhx; @@ -136,7 +132,7 @@ float stdlib_base_acosf( const float x ) { return PIO2_HI - ( x - ( PIO2_LO - ( x * r ) ) ); } // Case: x < -0.5 - if ( hx < 0 ) { // x < -0.5 + if ( hx < 0 ) { z = 0.5f * ( 1.0f + x ); p = z * poly_p( z ); q = 1.0f + ( z * QS1 ); From 78be700c8cbba203f4fb0a40638bc5b07118e06b Mon Sep 17 00:00:00 2001 From: Athan Reines Date: Mon, 1 Apr 2024 23:17:18 -0700 Subject: [PATCH 16/16] docs: add example --- lib/node_modules/@stdlib/math/base/special/acosf/README.md | 5 +++++ 1 file changed, 5 insertions(+) diff --git a/lib/node_modules/@stdlib/math/base/special/acosf/README.md b/lib/node_modules/@stdlib/math/base/special/acosf/README.md index ba4e93aa6127..5ba6c4bb774f 100644 --- a/lib/node_modules/@stdlib/math/base/special/acosf/README.md +++ b/lib/node_modules/@stdlib/math/base/special/acosf/README.md @@ -50,6 +50,11 @@ v = acosf( NaN ); The domain of `x` is restricted to `[-1,1]`. If `|x| > 1`, the function returns `NaN`. +```javascript +var v = acosf( -3.14 ); +// returns NaN +``` +