diff --git a/CONTRIBUTORS b/CONTRIBUTORS index 546751229..5c06f11d8 100644 --- a/CONTRIBUTORS +++ b/CONTRIBUTORS @@ -54,6 +54,7 @@ Pranav Goswami Praneki <97080887+PraneGIT@users.noreply.github.com> Pratik <97464067+Pratik772846@users.noreply.github.com> Priyansh <88396544+itsspriyansh@users.noreply.github.com> +Pushpendra Chandravanshi Raunak Kumar Gupta Rejoan Sardar <119718513+Rejoan-Sardar@users.noreply.github.com> Ricky Reusser @@ -72,6 +73,7 @@ Spandan Barve Stephannie Jiménez Gacha Suraj kumar <125961509+kumarsuraj212003@users.noreply.github.com> Tirtadwipa Manunggal +Tudor Pagu <104032457+tudor-pagu@users.noreply.github.com> Utkarsh Utkarsh Raj Varad Gupta diff --git a/LICENSE b/LICENSE index 1c71f4be1..b2c92544c 100644 --- a/LICENSE +++ b/LICENSE @@ -326,6 +326,17 @@ LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE. +THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR +IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, +FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE +AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER +LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, +OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE +SOFTWARE. + Apache License + Version 2.0, January 2004 + http://www.apache.org/licenses/ + * SLATEC Common Mathematical Library Public domain. diff --git a/base/special/atanf/LICENSE b/base/special/atanf/LICENSE new file mode 100644 index 000000000..a5bc4d9bf --- /dev/null +++ b/base/special/atanf/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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In no event and under no legal theory, + whether in tort (including negligence), contract, or otherwise, + unless required by applicable law (such as deliberate and grossly + negligent acts) or agreed to in writing, shall any Contributor be + liable to You for damages, including any direct, indirect, special, + incidental, or consequential damages of any character arising as a + result of this License or out of the use or inability to use the + Work (including but not limited to damages for loss of goodwill, + work stoppage, computer failure or malfunction, or any and all + other commercial damages or losses), even if such Contributor + has been advised of the possibility of such damages. + + 9. Accepting Warranty or Additional Liability. While redistributing + the Work or Derivative Works thereof, You may choose to offer, + and charge a fee for, acceptance of support, warranty, indemnity, + or other liability obligations and/or rights consistent with this + License. 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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/base/special/atanf/README.md b/base/special/atanf/README.md new file mode 100644 index 000000000..44b711f35 --- /dev/null +++ b/base/special/atanf/README.md @@ -0,0 +1,175 @@ + + +# atanf + +> Compute the [arctangent][arctangent] of a single-precision floating-point number. + +
+ +## Usage + +```javascript +var atanf = require( '@stdlib/math/base/special/atanf' ); +``` + +#### atanf( x ) + +Computes the [arctangent][arctangent] of a single-precision floating-point number (in radians). + +```javascript +var v = atanf( 0.0 ); +// returns 0.0 + +v = atanf( -3.14/4.0 ); +// returns ~-0.666 +``` + +
+ + + +
+ +## Examples + + + +```javascript +var linspace = require( '@stdlib/array/base/linspace' ); +var atanf = require( '@stdlib/math/base/special/atanf' ); + +var x = linspace( -1.0, 1.0, 100 ); + +var i; +for ( i = 0; i < x.length; i++ ) { + console.log( atanf( x[ i ] ) ); +} +``` + +
+ + + + + +* * * + +
+ +## C APIs + + + +
+ +
+ + + + + +
+ +### Usage + +```c +#include "stdlib/math/base/special/atanf.h" +``` + +#### stdlib_base_atanf( x ) + +Computes the [arctangent][arctangent] of a single-precision floating-point number (in radians). + +```c +float out = stdlib_base_atanf( 0.0f ); +// returns 0.0f + +out = stdlib_base_atanf( -3.14f/4.0f ); +// returns ~-0.666f +``` + +The function accepts the following arguments: + +- **x**: `[in] float` input value (in radians). + +```c +float stdlib_base_atanf( const float x ); +``` + +
+ + + + + +
+ +
+ + + + + +
+ +### Examples + +```c +#include "stdlib/math/base/special/atanf.h" +#include + +int main( void ) { + const float x[] = { -1000.0f, -777.78f, -555.56f, -333.33f, -111.11f, 111.11f, 333.33f, 555.56f, 777.78f, 1000.0f }; + + float v; + int i; + for ( i = 0; i < 10; i++ ) { + v = stdlib_base_atanf( x[ i ] ); + printf( "atan(%f) = %f\n", x[ i ], v ); + } +} +``` + +
+ + + +
+ + + + + +
+ +
+ + + + + +
+ +[arctangent]: https://en.wikipedia.org/wiki/Inverse_trigonometric_functions + +
+ + diff --git a/base/special/atanf/benchmark/benchmark.js b/base/special/atanf/benchmark/benchmark.js new file mode 100644 index 000000000..aa840724e --- /dev/null +++ b/base/special/atanf/benchmark/benchmark.js @@ -0,0 +1,51 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2024 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +'use strict'; + +// MODULES // + +var bench = require( '@stdlib/bench' ); +var randu = require( '@stdlib/random/base/randu' ); +var isnanf = require( './../../../../base/assert/is-nanf' ); +var pkg = require( './../package.json' ).name; +var atanf = 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() * 10000.0 ) - 0.0; + y = atanf( x ); + if ( isnanf( y ) ) { + b.fail( 'should not return NaN' ); + } + } + b.toc(); + if ( isnanf( y ) ) { + b.fail( 'should not return NaN' ); + } + b.pass( 'benchmark finished' ); + b.end(); +}); diff --git a/base/special/atanf/benchmark/benchmark.native.js b/base/special/atanf/benchmark/benchmark.native.js new file mode 100644 index 000000000..b2b082d00 --- /dev/null +++ b/base/special/atanf/benchmark/benchmark.native.js @@ -0,0 +1,60 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2024 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +'use strict'; + +// MODULES // + +var resolve = require( 'path' ).resolve; +var bench = require( '@stdlib/bench' ); +var randu = require( '@stdlib/random/base/randu' ); +var isnanf = require( './../../../../base/assert/is-nanf' ); +var tryRequire = require( '@stdlib/utils/try-require' ); +var pkg = require( './../package.json' ).name; + + +// VARIABLES // + +var atanf = tryRequire( resolve( __dirname, './../lib/native.js' ) ); +var opts = { + 'skip': ( atanf 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() * 10000.0 ) - 0.0; + y = atanf( x ); + if ( isnanf( y ) ) { + b.fail( 'should not return NaN' ); + } + } + b.toc(); + if ( isnanf( y ) ) { + b.fail( 'should not return NaN' ); + } + b.pass( 'benchmark finished' ); + b.end(); +}); diff --git a/base/special/atanf/benchmark/c/native/Makefile b/base/special/atanf/benchmark/c/native/Makefile new file mode 100644 index 000000000..f69e9da2b --- /dev/null +++ b/base/special/atanf/benchmark/c/native/Makefile @@ -0,0 +1,146 @@ +#/ +# @license Apache-2.0 +# +# Copyright (c) 2024 The Stdlib Authors. +# +# Licensed under the Apache License, Version 2.0 (the "License"); +# you may not use this file except in compliance with the License. +# You may obtain a copy of the License at +# +# http://www.apache.org/licenses/LICENSE-2.0 +# +# Unless required by applicable law or agreed to in writing, software +# distributed under the License is distributed on an "AS IS" BASIS, +# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +# See the License for the specific language governing permissions and +# limitations under the License. +#/ + +# VARIABLES # + +ifndef VERBOSE + QUIET := @ +else + QUIET := +endif + +# Determine the OS ([1][1], [2][2]). +# +# [1]: https://en.wikipedia.org/wiki/Uname#Examples +# [2]: http://stackoverflow.com/a/27776822/2225624 +OS ?= $(shell uname) +ifneq (, $(findstring MINGW,$(OS))) + OS := WINNT +else +ifneq (, $(findstring MSYS,$(OS))) + OS := WINNT +else +ifneq (, $(findstring CYGWIN,$(OS))) + OS := WINNT +else +ifneq (, $(findstring Windows_NT,$(OS))) + OS := WINNT +endif +endif +endif +endif + +# Define the program used for compiling C source files: +ifdef C_COMPILER + CC := $(C_COMPILER) +else + CC := gcc +endif + +# Define the command-line options when compiling C files: +CFLAGS ?= \ + -std=c99 \ + -O3 \ + -Wall \ + -pedantic + +# Determine whether to generate position independent code ([1][1], [2][2]). +# +# [1]: https://gcc.gnu.org/onlinedocs/gcc/Code-Gen-Options.html#Code-Gen-Options +# [2]: http://stackoverflow.com/questions/5311515/gcc-fpic-option +ifeq ($(OS), WINNT) + fPIC ?= +else + fPIC ?= -fPIC +endif + +# List of includes (e.g., `-I /foo/bar -I /beep/boop/include`): +INCLUDE ?= + +# List of source files: +SOURCE_FILES ?= + +# List of libraries (e.g., `-lopenblas -lpthread`): +LIBRARIES ?= + +# List of library paths (e.g., `-L /foo/bar -L /beep/boop`): +LIBPATH ?= + +# List of C targets: +c_targets := benchmark.out + + +# RULES # + +#/ +# Compiles source files. +# +# @param {string} [C_COMPILER] - C compiler (e.g., `gcc`) +# @param {string} [CFLAGS] - C compiler options +# @param {(string|void)} [fPIC] - compiler flag determining whether to generate position independent code (e.g., `-fPIC`) +# @param {string} [INCLUDE] - list of includes (e.g., `-I /foo/bar -I /beep/boop/include`) +# @param {string} [SOURCE_FILES] - list of source files +# @param {string} [LIBPATH] - list of library paths (e.g., `-L /foo/bar -L /beep/boop`) +# @param {string} [LIBRARIES] - list of libraries (e.g., `-lopenblas -lpthread`) +# +# @example +# make +# +# @example +# make all +#/ +all: $(c_targets) + +.PHONY: all + +#/ +# Compiles C source files. +# +# @private +# @param {string} CC - C compiler (e.g., `gcc`) +# @param {string} CFLAGS - C compiler options +# @param {(string|void)} fPIC - compiler flag determining whether to generate position independent code (e.g., `-fPIC`) +# @param {string} INCLUDE - list of includes (e.g., `-I /foo/bar`) +# @param {string} SOURCE_FILES - list of source files +# @param {string} LIBPATH - list of library paths (e.g., `-L /foo/bar`) +# @param {string} LIBRARIES - list of libraries (e.g., `-lopenblas`) +#/ +$(c_targets): %.out: %.c + $(QUIET) $(CC) $(CFLAGS) $(fPIC) $(INCLUDE) -o $@ $(SOURCE_FILES) $< $(LIBPATH) -lm $(LIBRARIES) + +#/ +# Runs compiled benchmarks. +# +# @example +# make run +#/ +run: $(c_targets) + $(QUIET) ./$< + +.PHONY: run + +#/ +# Removes generated files. +# +# @example +# make clean +#/ +clean: + $(QUIET) -rm -f *.o *.out + +.PHONY: clean diff --git a/base/special/atanf/benchmark/c/native/benchmark.c b/base/special/atanf/benchmark/c/native/benchmark.c new file mode 100644 index 000000000..b9ac8fe48 --- /dev/null +++ b/base/special/atanf/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 `atanf`. +*/ +#include "stdlib/math/base/special/atanf.h" +#include +#include +#include +#include +#include + +#define NAME "atanf" +#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 = ( 10000.0f * rand_float() ) - 0.0f; + y = stdlib_base_atanf( x ); + if ( y != y ) { + printf( "should not return NaN\n" ); + break; + } + } + elapsed = tic() - t; + if ( y != y ) { + printf( "should not return NaN\n" ); + } + return elapsed; +} + +/** +* Main execution sequence. +*/ +int main( void ) { + double elapsed; + int i; + + // Use the current time to seed the random number generator: + srand( time( NULL ) ); + + print_version(); + for ( i = 0; i < REPEATS; i++ ) { + printf( "# c::native::%s\n", NAME ); + elapsed = benchmark(); + print_results( elapsed ); + printf( "ok %d benchmark finished\n", i+1 ); + } + print_summary( REPEATS, REPEATS ); +} diff --git a/base/special/atanf/binding.gyp b/base/special/atanf/binding.gyp new file mode 100644 index 000000000..ec3992233 --- /dev/null +++ b/base/special/atanf/binding.gyp @@ -0,0 +1,170 @@ +# @license Apache-2.0 +# +# Copyright (c) 2024 The Stdlib Authors. +# +# Licensed under the Apache License, Version 2.0 (the "License"); +# you may not use this file except in compliance with the License. +# You may obtain a copy of the License at +# +# http://www.apache.org/licenses/LICENSE-2.0 +# +# Unless required by applicable law or agreed to in writing, software +# distributed under the License is distributed on an "AS IS" BASIS, +# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +# See the License for the specific language governing permissions and +# limitations under the License. + +# A `.gyp` file for building a Node.js native add-on. +# +# [1]: https://gyp.gsrc.io/docs/InputFormatReference.md +# [2]: https://gyp.gsrc.io/docs/UserDocumentation.md +{ + # List of files to include in this file: + 'includes': [ + './include.gypi', + ], + + # Define variables to be used throughout the configuration for all targets: + 'variables': { + # Target name should match the add-on export name: + 'addon_target_name%': 'addon', + + # Set variables based on the host OS: + 'conditions': [ + [ + 'OS=="win"', + { + # Define the object file suffix: + 'obj': 'obj', + }, + { + # Define the object file suffix: + 'obj': 'o', + } + ], # end condition (OS=="win") + ], # end conditions + }, # end variables + + # Define compile targets: + 'targets': [ + + # Target to generate an add-on: + { + # The target name should match the add-on export name: + 'target_name': '<(addon_target_name)', + + # Define dependencies: + 'dependencies': [], + + # Define directories which contain relevant include headers: + 'include_dirs': [ + # Local include directory: + '<@(include_dirs)', + ], + + # List of source files: + 'sources': [ + '<@(src_files)', + ], + + # Settings which should be applied when a target's object files are used as linker input: + 'link_settings': { + # Define libraries: + 'libraries': [ + '<@(libraries)', + ], + + # Define library directories: + 'library_dirs': [ + '<@(library_dirs)', + ], + }, + + # C/C++ compiler flags: + 'cflags': [ + # Enable commonly used warning options: + '-Wall', + + # Aggressive optimization: + '-O3', + ], + + # C specific compiler flags: + 'cflags_c': [ + # Specify the C standard to which a program is expected to conform: + '-std=c99', + ], + + # C++ specific compiler flags: + 'cflags_cpp': [ + # Specify the C++ standard to which a program is expected to conform: + '-std=c++11', + ], + + # Linker flags: + 'ldflags': [], + + # Apply conditions based on the host OS: + 'conditions': [ + [ + 'OS=="mac"', + { + # Linker flags: + 'ldflags': [ + '-undefined dynamic_lookup', + '-Wl,-no-pie', + '-Wl,-search_paths_first', + ], + }, + ], # end condition (OS=="mac") + [ + 'OS!="win"', + { + # C/C++ flags: + 'cflags': [ + # Generate platform-independent code: + '-fPIC', + ], + }, + ], # end condition (OS!="win") + ], # end conditions + }, # end target <(addon_target_name) + + # Target to copy a generated add-on to a standard location: + { + 'target_name': 'copy_addon', + + # Declare that the output of this target is not linked: + 'type': 'none', + + # Define dependencies: + 'dependencies': [ + # Require that the add-on be generated before building this target: + '<(addon_target_name)', + ], + + # Define a list of actions: + 'actions': [ + { + 'action_name': 'copy_addon', + 'message': 'Copying addon...', + + # Explicitly list the inputs in the command-line invocation below: + 'inputs': [], + + # Declare the expected outputs: + 'outputs': [ + '<(addon_output_dir)/<(addon_target_name).node', + ], + + # Define the command-line invocation: + 'action': [ + 'cp', + '<(PRODUCT_DIR)/<(addon_target_name).node', + '<(addon_output_dir)/<(addon_target_name).node', + ], + }, + ], # end actions + }, # end target copy_addon + ], # end targets +} diff --git a/base/special/atanf/docs/repl.txt b/base/special/atanf/docs/repl.txt new file mode 100644 index 000000000..31d54f23d --- /dev/null +++ b/base/special/atanf/docs/repl.txt @@ -0,0 +1,28 @@ + +{{alias}}( x ) + Computes the arctangent of a single-precision floating-point number. + + Parameters + ---------- + x: number + Input value. + + Returns + ------- + y: number + Arctangent (in radians). + + Examples + -------- + > var y = {{alias}}( 0.0 ) + 0.0 + > y = {{alias}}( -3.14/4.0 ) + ~-0.666 + > y = {{alias}}( 3.14/4.0 ) + ~0.666 + > y = {{alias}}( NaN ) + NaN + + See Also + -------- + diff --git a/base/special/atanf/docs/types/index.d.ts b/base/special/atanf/docs/types/index.d.ts new file mode 100644 index 000000000..4556d7cc4 --- /dev/null +++ b/base/special/atanf/docs/types/index.d.ts @@ -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. +*/ + +// TypeScript Version: 4.1 + +/** +* Computes the arctangent of a single-precision floating-point number. +* +* @param x - input value +* @returns arctangent (in radians) +* +* @example +* var v = atanf( 0.0 ); +* // returns 0.0 +* +* @example +* var FLOAT32_PI = require( '@stdlib/constants/float32/pi' ); +* +* var v = atanf( FLOAT32_PI/4.0 ); +* // returns ~0.666 +* +* @example +* var FLOAT32_PI = require( '@stdlib/constants/float32/pi' ); +* +* var v = atanf( -FLOAT32_PI/4.0 ); +* // returns ~-0.666 +* +* @example +* var v = atanf( NaN ); +* // returns NaN +*/ +declare function atanf( x: number ): number; + + +// EXPORTS // + +export = atanf; diff --git a/base/special/atanf/docs/types/test.ts b/base/special/atanf/docs/types/test.ts new file mode 100644 index 000000000..e15105efa --- /dev/null +++ b/base/special/atanf/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 atanf = require( './index' ); + + +// TESTS // + +// The function returns a number... +{ + atanf( 8 ); // $ExpectType number +} + +// The compiler throws an error if the function is provided a value other than a number... +{ + atanf( true ); // $ExpectError + atanf( false ); // $ExpectError + atanf( null ); // $ExpectError + atanf( undefined ); // $ExpectError + atanf( '5' ); // $ExpectError + atanf( [] ); // $ExpectError + atanf( {} ); // $ExpectError + atanf( ( x: number ): number => x ); // $ExpectError +} + +// The compiler throws an error if the function is provided insufficient arguments... +{ + atanf(); // $ExpectError +} diff --git a/base/special/atanf/examples/c/Makefile b/base/special/atanf/examples/c/Makefile new file mode 100644 index 000000000..6aed70daf --- /dev/null +++ b/base/special/atanf/examples/c/Makefile @@ -0,0 +1,146 @@ +#/ +# @license Apache-2.0 +# +# Copyright (c) 2024 The Stdlib Authors. +# +# Licensed under the Apache License, Version 2.0 (the "License"); +# you may not use this file except in compliance with the License. +# You may obtain a copy of the License at +# +# http://www.apache.org/licenses/LICENSE-2.0 +# +# Unless required by applicable law or agreed to in writing, software +# distributed under the License is distributed on an "AS IS" BASIS, +# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +# See the License for the specific language governing permissions and +# limitations under the License. +#/ + +# VARIABLES # + +ifndef VERBOSE + QUIET := @ +else + QUIET := +endif + +# Determine the OS ([1][1], [2][2]). +# +# [1]: https://en.wikipedia.org/wiki/Uname#Examples +# [2]: http://stackoverflow.com/a/27776822/2225624 +OS ?= $(shell uname) +ifneq (, $(findstring MINGW,$(OS))) + OS := WINNT +else +ifneq (, $(findstring MSYS,$(OS))) + OS := WINNT +else +ifneq (, $(findstring CYGWIN,$(OS))) + OS := WINNT +else +ifneq (, $(findstring Windows_NT,$(OS))) + OS := WINNT +endif +endif +endif +endif + +# Define the program used for compiling C source files: +ifdef C_COMPILER + CC := $(C_COMPILER) +else + CC := gcc +endif + +# Define the command-line options when compiling C files: +CFLAGS ?= \ + -std=c99 \ + -O3 \ + -Wall \ + -pedantic + +# Determine whether to generate position independent code ([1][1], [2][2]). +# +# [1]: https://gcc.gnu.org/onlinedocs/gcc/Code-Gen-Options.html#Code-Gen-Options +# [2]: http://stackoverflow.com/questions/5311515/gcc-fpic-option +ifeq ($(OS), WINNT) + fPIC ?= +else + fPIC ?= -fPIC +endif + +# List of includes (e.g., `-I /foo/bar -I /beep/boop/include`): +INCLUDE ?= + +# List of source files: +SOURCE_FILES ?= + +# List of libraries (e.g., `-lopenblas -lpthread`): +LIBRARIES ?= + +# List of library paths (e.g., `-L /foo/bar -L /beep/boop`): +LIBPATH ?= + +# List of C targets: +c_targets := example.out + + +# RULES # + +#/ +# Compiles source files. +# +# @param {string} [C_COMPILER] - C compiler (e.g., `gcc`) +# @param {string} [CFLAGS] - C compiler options +# @param {(string|void)} [fPIC] - compiler flag determining whether to generate position independent code (e.g., `-fPIC`) +# @param {string} [INCLUDE] - list of includes (e.g., `-I /foo/bar -I /beep/boop/include`) +# @param {string} [SOURCE_FILES] - list of source files +# @param {string} [LIBPATH] - list of library paths (e.g., `-L /foo/bar -L /beep/boop`) +# @param {string} [LIBRARIES] - list of libraries (e.g., `-lopenblas -lpthread`) +# +# @example +# make +# +# @example +# make all +#/ +all: $(c_targets) + +.PHONY: all + +#/ +# Compiles C source files. +# +# @private +# @param {string} CC - C compiler (e.g., `gcc`) +# @param {string} CFLAGS - C compiler options +# @param {(string|void)} fPIC - compiler flag determining whether to generate position independent code (e.g., `-fPIC`) +# @param {string} INCLUDE - list of includes (e.g., `-I /foo/bar`) +# @param {string} SOURCE_FILES - list of source files +# @param {string} LIBPATH - list of library paths (e.g., `-L /foo/bar`) +# @param {string} LIBRARIES - list of libraries (e.g., `-lopenblas`) +#/ +$(c_targets): %.out: %.c + $(QUIET) $(CC) $(CFLAGS) $(fPIC) $(INCLUDE) -o $@ $(SOURCE_FILES) $< $(LIBPATH) -lm $(LIBRARIES) + +#/ +# Runs compiled examples. +# +# @example +# make run +#/ +run: $(c_targets) + $(QUIET) ./$< + +.PHONY: run + +#/ +# Removes generated files. +# +# @example +# make clean +#/ +clean: + $(QUIET) -rm -f *.o *.out + +.PHONY: clean diff --git a/base/special/atanf/examples/c/example.c b/base/special/atanf/examples/c/example.c new file mode 100644 index 000000000..09f895cfd --- /dev/null +++ b/base/special/atanf/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/atanf.h" +#include + +int main( void ) { + const float x[] = { -1000.0f, -777.78f, -555.56f, -333.33f, -111.11f, 111.11f, 333.33f, 555.56f, 777.78f, 1000.0f }; + + float v; + int i; + for ( i = 0; i < 10; i++ ) { + v = stdlib_base_atanf( x[ i ] ); + printf( "atan(%f) = %f\n", x[ i ], v ); + } +} diff --git a/base/special/atanf/examples/index.js b/base/special/atanf/examples/index.js new file mode 100644 index 000000000..08e75b1e7 --- /dev/null +++ b/base/special/atanf/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 atanf = require( './../lib' ); + +var x = linspace( -1000.0, 1000.0, 100 ); + +var i; +for ( i = 0; i < x.length; i++ ) { + console.log( 'atanf(%d) = %d', x[ i ], atanf( x[ i ] ) ); +} diff --git a/base/special/atanf/include.gypi b/base/special/atanf/include.gypi new file mode 100644 index 000000000..575cb043c --- /dev/null +++ b/base/special/atanf/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': [ + ' 2.414213562373095 ) { // tan(3*pi/8) + y = PI02F; + x = -float64ToFloat32( 1.0 / x ); + } else if ( x > 0.4142135623730950 ) { // tan(pi/8) + y = PI04F; + x = float64ToFloat32( float64ToFloat32( x - 1.0 ) / float64ToFloat32( x + 1.0 ) ); // eslint-disable-line max-len + } else { + y = 0.0; + } + z = float64ToFloat32( x * x ); + y = float64ToFloat32( y + float64ToFloat32( ( float64ToFloat32( polyp( z ) ) * float64ToFloat32( z * x ) ) + x ) ); // eslint-disable-line max-len + if ( sgn < 0 ) { + y = -y; + } + return y; +} + + +// EXPORTS // + +module.exports = atanf; diff --git a/base/special/atanf/lib/native.js b/base/special/atanf/lib/native.js new file mode 100644 index 000000000..12f0dc7ae --- /dev/null +++ b/base/special/atanf/lib/native.js @@ -0,0 +1,62 @@ +/** +* @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 arctangent of a single-precision floating-point number. +* +* @private +* @param {number} x - input value +* @returns {number} arctangent (in radians) +* +* @example +* var v = atanf( 0.0 ); +* // returns 0.0 +* +* @example +* var FLOAT32_PI = require( '@stdlib/constants/float32/pi' ); +* +* var v = atanf( -FLOAT32_PI/4.0 ); +* // returns ~-0.666 +* +* @example +* var FLOAT32_PI = require( '@stdlib/constants/float32/pi' ); +* +* var v = atanf( FLOAT32_PI/4.0 ); +* // returns ~0.666 +* +* @example +* var v = atanf( NaN ); +* // returns NaN +*/ +function atanf( x ) { + return addon( x ); +} + + +// EXPORTS // + +module.exports = atanf; diff --git a/base/special/atanf/lib/poly_p.js b/base/special/atanf/lib/poly_p.js new file mode 100644 index 000000000..5d6c09feb --- /dev/null +++ b/base/special/atanf/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 -0.3333294987678528; + } + return float64ToFloat32(-0.3333294987678528 + float64ToFloat32(x * float64ToFloat32(0.19977711141109467 + float64ToFloat32(x * float64ToFloat32(-0.13877685368061066 + float64ToFloat32(x * 0.08053744584321976)))))); // eslint-disable-line max-len +} + + +// EXPORTS // + +module.exports = evalpoly; diff --git a/base/special/atanf/manifest.json b/base/special/atanf/manifest.json new file mode 100644 index 000000000..a32a5ee50 --- /dev/null +++ b/base/special/atanf/manifest.json @@ -0,0 +1,78 @@ +{ + "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/constants/float32/fourth-pi", + "@stdlib/constants/float32/half-pi" + ] + }, + { + "task": "benchmark", + "src": [ + "./src/main.c" + ], + "include": [ + "./include" + ], + "libraries": [], + "libpath": [], + "dependencies": [ + "@stdlib/math/base/assert/is-nanf", + "@stdlib/constants/float32/fourth-pi", + "@stdlib/constants/float32/half-pi" + ] + }, + { + "task": "examples", + "src": [ + "./src/main.c" + ], + "include": [ + "./include" + ], + "libraries": [], + "libpath": [], + "dependencies": [ + "@stdlib/math/base/assert/is-nanf", + "@stdlib/constants/float32/fourth-pi", + "@stdlib/constants/float32/half-pi" + ] + } + ] +} diff --git a/base/special/atanf/package.json b/base/special/atanf/package.json new file mode 100644 index 000000000..02c77bcd3 --- /dev/null +++ b/base/special/atanf/package.json @@ -0,0 +1,70 @@ +{ + "name": "@stdlib/math/base/special/atanf", + "version": "0.0.0", + "description": "Compute the arctangent 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.atan", + "atanf", + "arctangent", + "tangent", + "inverse", + "trig", + "trigonometry", + "radians", + "angle" + ] +} diff --git a/base/special/atanf/scripts/evalpoly.js b/base/special/atanf/scripts/evalpoly.js new file mode 100644 index 000000000..0f3588d14 --- /dev/null +++ b/base/special/atanf/scripts/evalpoly.js @@ -0,0 +1,121 @@ +/** +* @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( './../../../../base/tools/evalpoly-compile' ); +var compileC = require( './../../../../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 = [ + -3.33329491539E-1, + 1.99777106478E-1, + -1.38776856032E-1, + 8.05374449538e-2 +]; + +// 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/base/special/atanf/src/Makefile b/base/special/atanf/src/Makefile new file mode 100644 index 000000000..bcf18aa46 --- /dev/null +++ b/base/special/atanf/src/Makefile @@ -0,0 +1,70 @@ +#/ +# @license Apache-2.0 +# +# Copyright (c) 2024 The Stdlib Authors. +# +# Licensed under the Apache License, Version 2.0 (the "License"); +# you may not use this file except in compliance with the License. +# You may obtain a copy of the License at +# +# http://www.apache.org/licenses/LICENSE-2.0 +# +# Unless required by applicable law or agreed to in writing, software +# distributed under the License is distributed on an "AS IS" BASIS, +# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +# See the License for the specific language governing permissions and +# limitations under the License. +#/ + +# VARIABLES # + +ifndef VERBOSE + QUIET := @ +else + QUIET := +endif + +# Determine the OS ([1][1], [2][2]). +# +# [1]: https://en.wikipedia.org/wiki/Uname#Examples +# [2]: http://stackoverflow.com/a/27776822/2225624 +OS ?= $(shell uname) +ifneq (, $(findstring MINGW,$(OS))) + OS := WINNT +else +ifneq (, $(findstring MSYS,$(OS))) + OS := WINNT +else +ifneq (, $(findstring CYGWIN,$(OS))) + OS := WINNT +else +ifneq (, $(findstring Windows_NT,$(OS))) + OS := WINNT +endif +endif +endif +endif + + +# RULES # + +#/ +# Removes generated files for building an add-on. +# +# @example +# make clean-addon +#/ +clean-addon: + $(QUIET) -rm -f *.o *.node + +.PHONY: clean-addon + +#/ +# Removes generated files. +# +# @example +# make clean +#/ +clean: clean-addon + +.PHONY: clean diff --git a/base/special/atanf/src/addon.c b/base/special/atanf/src/addon.c new file mode 100644 index 000000000..f354a5a84 --- /dev/null +++ b/base/special/atanf/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/atanf.h" +#include "stdlib/math/base/napi/unary.h" + +// cppcheck-suppress shadowFunction +STDLIB_MATH_BASE_NAPI_MODULE_F_F( stdlib_base_atanf ) diff --git a/base/special/atanf/src/main.c b/base/special/atanf/src/main.c new file mode 100644 index 000000000..71d47b99b --- /dev/null +++ b/base/special/atanf/src/main.c @@ -0,0 +1,117 @@ +/** +* @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/atanf.h" +#include "stdlib/math/base/assert/is_nanf.h" +#include "stdlib/constants/float32/half_pi.h" +#include "stdlib/constants/float32/fourth_pi.h" +#include + +/* Begin auto-generated functions. The following functions are auto-generated. Do not edit directly. */ + +// 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 -0.333329491539f + (x * (0.199777106478f + (x * (-0.138776856032f + (x * 0.0805374449538f))))); +} + +// END: poly_p + +/* End auto-generated functions. */ + +/** +* Computes the arctangent of a single-precision floating-point number. +* +* ## Method +* +* - Range reduction is from four intervals into the interval from zero to tan( pi/8 ). A polynomial approximates the function in this basic interval. +* +* ## Notes +* +* - Relative error: +* +* | arithmetic | domain | # trials | peak | rms | +* |:-----------|:--------|:---------|:--------|:--------| +* | IEEE | -10, 10 | 10^5 | 1.9e-7 | 4.1e-8 | +* +* @param x input value +* @return arctangent (in radians) +* +* @example +* float out = stdlib_base_atanf( 0.0f ); +* // returns 0.0f +*/ +float stdlib_base_atanf( const float x ) { + int8_t sgn; + float ax; + float y; + float z; + + if ( stdlib_base_is_nanf( x ) ) { + return 0.0f / 0.0f; // NaN + } + ax = x; + if ( x < 0.0f ) { + sgn = -1; + ax = -x; + } else { + sgn = 1; + } + // Range reduction... + if ( ax > 2.414213562373095f ) { // tan(3*pi/8) + y = STDLIB_CONSTANT_FLOAT32_HALF_PI; + ax = -( 1.0f / ax ); + } else if ( ax > 0.4142135623730950f ) { // tan(pi/8) + y = STDLIB_CONSTANT_FLOAT32_FOURTH_PI; + ax = ( ax - 1.0f ) / ( ax + 1.0f ); + } else { + y = 0.0f; + } + z = ax * ax; + y += ( poly_p( z ) * z * ax ) + ax; + if ( sgn < 0 ) { + y = -y; + } + return y; +} diff --git a/base/special/atanf/test/fixtures/julia/REQUIRE b/base/special/atanf/test/fixtures/julia/REQUIRE new file mode 100644 index 000000000..308c3be89 --- /dev/null +++ b/base/special/atanf/test/fixtures/julia/REQUIRE @@ -0,0 +1,2 @@ +julia 1.5 +JSON 0.21 diff --git a/base/special/atanf/test/fixtures/julia/huge_negative.json b/base/special/atanf/test/fixtures/julia/huge_negative.json new file mode 100644 index 000000000..3803e41d9 --- /dev/null +++ b/base/special/atanf/test/fixtures/julia/huge_negative.json @@ -0,0 +1 @@ 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\ No newline at end of file diff --git a/base/special/atanf/test/fixtures/julia/large_negative.json b/base/special/atanf/test/fixtures/julia/large_negative.json new file mode 100644 index 000000000..4ecc383b6 --- /dev/null +++ b/base/special/atanf/test/fixtures/julia/large_negative.json @@ -0,0 +1 @@ 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\ No newline at end of file diff --git a/base/special/atanf/test/fixtures/julia/large_positive.json b/base/special/atanf/test/fixtures/julia/large_positive.json new file mode 100644 index 000000000..1a9aec37b --- /dev/null +++ b/base/special/atanf/test/fixtures/julia/large_positive.json @@ -0,0 +1 @@ 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\ No newline at end of file diff --git a/base/special/atanf/test/fixtures/julia/larger_negative.json b/base/special/atanf/test/fixtures/julia/larger_negative.json new file mode 100644 index 000000000..4ebfdb5c2 --- /dev/null +++ b/base/special/atanf/test/fixtures/julia/larger_negative.json @@ -0,0 +1 @@ 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\ No newline at end of file diff --git a/base/special/atanf/test/fixtures/julia/medium_positive.json b/base/special/atanf/test/fixtures/julia/medium_positive.json new file mode 100644 index 000000000..f5c34bfbf --- /dev/null +++ b/base/special/atanf/test/fixtures/julia/medium_positive.json @@ -0,0 +1 @@ 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\ No newline at end of file diff --git a/base/special/atanf/test/fixtures/julia/runner.jl b/base/special/atanf/test/fixtures/julia/runner.jl new file mode 100644 index 000000000..347e5a653 --- /dev/null +++ b/base/special/atanf/test/fixtures/julia/runner.jl @@ -0,0 +1,113 @@ +#!/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( -1000, stop = 1000, length = 2001 ); +julia> gen( x, \"data.json\" ); +``` +""" +function gen( domain, name ) + x = collect( domain ); + y = atan.( x ); + + # Store data to be written to file as a collection: + data = Dict([ + ("x", x), + ("expected", y) + ]); + + # Based on the script directory, create an output filepath: + filepath = joinpath( dir, name ); + + # Write the data to the output filepath as JSON: + outfile = open( filepath, "w" ); + write( outfile, JSON.json(data) ); + close( outfile ); +end + +# Get the filename: +file = @__FILE__; + +# Extract the directory in which this file resides: +dir = dirname( file ); + +# Negative tiny values: +x = range( -1e-30, stop = -1e-38, length = 500 ); +gen( x, "tiny_negative.json" ); + +# Positive tiny values: +x = range( 1e-30, stop = 1e-38, length = 500 ); +gen( x, "tiny_positive.json" ); + +# Small(er) values: +x = range( -0.8, stop = 0.8, length = 500 ); +gen( x, "smaller.json" ); + +# Negative small values: +x = range( -0.8, stop = -1.0, length = 500 ); +gen( x, "small_negative.json" ); + +# Positive small values: +x = range( 0.8, stop = 1.0, length = 500 ); +gen( x, "small_positive.json" ); + +# Negative medium values: +x = range( -1.0, stop = -3.0, length = 500 ); +gen( x, "medium_negative.json" ); + +# Positive medium values: +x = range( 1.0, stop = 3.0, length = 500 ); +gen( x, "medium_positive.json" ); + +# Large negative values: +x = range( -3.0, stop = -100.0, length = 500 ); +gen( x, "large_negative.json" ); + +# Large positive values: +x = range( 3.0, stop = 100.0, length = 500 ); +gen( x, "large_positive.json" ); + +# Larger negative values: +x = range( -100.0, stop = -1000.0, length = 500 ); +gen( x, "larger_negative.json" ); + +# Larger positive values: +x = range( 100.0, stop = 1000.0, length = 500 ); +gen( x, "larger_positive.json" ); + +# Huge negative values: +x = range( -1e20, stop = -1e28, length = 503 ); +gen( x, "huge_negative.json" ); + +# Huge positive values: +x = range( 1e30, stop = 1e38, length = 503 ); +gen( x, "huge_positive.json" ); diff --git a/base/special/atanf/test/fixtures/julia/small_negative.json b/base/special/atanf/test/fixtures/julia/small_negative.json new file mode 100644 index 000000000..9d482d7ab --- /dev/null +++ b/base/special/atanf/test/fixtures/julia/small_negative.json @@ -0,0 +1 @@ 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\ No newline at end of file diff --git a/base/special/atanf/test/fixtures/julia/tiny_negative.json b/base/special/atanf/test/fixtures/julia/tiny_negative.json new file mode 100644 index 000000000..3b86618a4 --- /dev/null +++ b/base/special/atanf/test/fixtures/julia/tiny_negative.json @@ -0,0 +1 @@ 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\ No newline at end of file diff --git a/base/special/atanf/test/fixtures/julia/tiny_positive.json b/base/special/atanf/test/fixtures/julia/tiny_positive.json new file mode 100644 index 000000000..db0f0a9d4 --- /dev/null +++ b/base/special/atanf/test/fixtures/julia/tiny_positive.json @@ -0,0 +1 @@ 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\ No newline at end of file diff --git a/base/special/atanf/test/test.js b/base/special/atanf/test/test.js new file mode 100644 index 000000000..4e52e9779 --- /dev/null +++ b/base/special/atanf/test/test.js @@ -0,0 +1,398 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2024 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +'use strict'; + +// MODULES // + +var tape = require( 'tape' ); +var isnanf = require( './../../../../base/assert/is-nanf' ); +var abs = require( './../../../../base/special/abs' ); +var EPS = require( '@stdlib/constants/float32/eps' ); +var float64ToFloat32 = require( '@stdlib/number/float64/base/to-float32' ); +var atanf = require( './../lib' ); + + +// FIXTURES // + +var largerNegative = require( './fixtures/julia/larger_negative.json' ); +var largerPositive = require( './fixtures/julia/larger_positive.json' ); +var largeNegative = require( './fixtures/julia/large_negative.json' ); +var largePositive = require( './fixtures/julia/large_positive.json' ); +var mediumNegative = require( './fixtures/julia/medium_negative.json' ); +var mediumPositive = require( './fixtures/julia/medium_positive.json' ); +var smallNegative = require( './fixtures/julia/small_negative.json' ); +var smallPositive = require( './fixtures/julia/small_positive.json' ); +var smaller = require( './fixtures/julia/smaller.json' ); +var tinyNegative = require( './fixtures/julia/tiny_negative.json' ); +var tinyPositive = require( './fixtures/julia/tiny_positive.json' ); +var hugeNegative = require( './fixtures/julia/huge_negative.json' ); +var hugePositive = require( './fixtures/julia/huge_positive.json' ); + + +// TESTS // + +tape( 'main export is a function', function test( t ) { + t.ok( true, __filename ); + t.true( typeof atanf, 'function', 'main export is a function' ); + t.end(); +}); + +tape( 'the function computes the arctangent on the interval `[ -1e-38, -1e-30] `', function test( t ) { + var expected; + var delta; + var tol; + var x; + var y; + var i; + var e; + + x = tinyNegative.x; + expected = tinyNegative.expected; + + for ( i = 0; i < x.length; i++ ) { + y = atanf( 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 arctangent on the interval `[ 1e-30, 1e-38 ]`', function test( t ) { + var expected; + var delta; + var tol; + var x; + var y; + var i; + var e; + + x = tinyPositive.x; + expected = tinyPositive.expected; + + for ( i = 0; i < x.length; i++ ) { + y = atanf( 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 arctangent on the interval `[ -0.8, 0.8 ]`', function test( t ) { + var expected; + var delta; + var tol; + var x; + var y; + var i; + var e; + + x = smaller.x; + expected = smaller.expected; + + for ( i = 0; i < x.length; i++ ) { + y = atanf( x[ i ] ); + e = float64ToFloat32( expected[ i ] ); + if ( y === e ) { + t.equal( y, e, 'x: '+x[ i ]+'. E: '+e ); + } else { + delta = abs( y - e ); + tol = 1.8 * 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 arctangent on the interval `[ -1.0, -0.8 ]`', 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 = atanf( 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 arctangent on the interval `[ 0.8, 1.0 ]`', 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 = atanf( 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 arctangent on the interval `[ -3.0, -1.0 ]`', function test( t ) { + var expected; + var delta; + var tol; + var x; + var y; + var i; + var e; + + x = mediumNegative.x; + expected = mediumNegative.expected; + + for ( i = 0; i < x.length; i++ ) { + y = atanf( 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 arctangent on the interval `[ 1.0, 3.0 ]`', function test( t ) { + var expected; + var delta; + var tol; + var x; + var y; + var i; + var e; + + x = mediumPositive.x; + expected = mediumPositive.expected; + + for ( i = 0; i < x.length; i++ ) { + y = atanf( 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 arctangent on the interval `[ 3.0, 100.0 ]`', function test( t ) { + var expected; + var delta; + var tol; + var x; + var y; + var i; + var e; + + x = largePositive.x; + expected = largePositive.expected; + + for ( i = 0; i < x.length; i++ ) { + y = atanf( 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 arctangent on the interval `[ -100.0, -3.0 ]`', function test( t ) { + var expected; + var delta; + var tol; + var x; + var y; + var i; + var e; + + x = largeNegative.x; + expected = largeNegative.expected; + + for ( i = 0; i < x.length; i++ ) { + y = atanf( 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 arctangent on the interval `[ 100.0, 1000.0 ]`', function test( t ) { + var expected; + var delta; + var tol; + var x; + var y; + var i; + var e; + + x = largerPositive.x; + expected = largerPositive.expected; + + for ( i = 0; i < x.length; i++ ) { + y = atanf( 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 arctangent on the interval `[ -1000.0, -100.0 ]`', function test( t ) { + var expected; + var delta; + var tol; + var x; + var y; + var i; + var e; + + x = largerNegative.x; + expected = largerNegative.expected; + + for ( i = 0; i < x.length; i++ ) { + y = atanf( 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 arctangent on the interval `[ -1e20, -1e28 ]`', function test( t ) { + var expected; + var delta; + var tol; + var x; + var y; + var i; + var e; + + x = hugeNegative.x; + expected = hugeNegative.expected; + + for ( i = 0; i < x.length; i++ ) { + y = atanf( 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 arctangent on the interval `[ 1e30, 1e38 ]`', function test( t ) { + var expected; + var delta; + var tol; + var x; + var y; + var i; + var e; + + x = hugePositive.x; + expected = hugePositive.expected; + + for ( i = 0; i < x.length; i++ ) { + y = atanf( 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 = atanf( NaN ); + t.equal( isnanf( v ), true, 'returns NaN' ); + t.end(); +}); diff --git a/base/special/atanf/test/test.native.js b/base/special/atanf/test/test.native.js new file mode 100644 index 000000000..354d754bc --- /dev/null +++ b/base/special/atanf/test/test.native.js @@ -0,0 +1,407 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2024 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +'use strict'; + +// MODULES // + +var resolve = require( 'path' ).resolve; +var tape = require( 'tape' ); +var isnanf = require( './../../../../base/assert/is-nanf' ); +var abs = require( './../../../../base/special/abs' ); +var EPS = require( '@stdlib/constants/float32/eps' ); +var float64ToFloat32 = require( '@stdlib/number/float64/base/to-float32' ); +var tryRequire = require( '@stdlib/utils/try-require' ); + + +// VARIABLES // + +var atanf = tryRequire( resolve( __dirname, './../lib/native.js' ) ); +var opts = { + 'skip': ( atanf instanceof Error ) +}; + + +// FIXTURES // + +var largerNegative = require( './fixtures/julia/larger_negative.json' ); +var largerPositive = require( './fixtures/julia/larger_positive.json' ); +var largeNegative = require( './fixtures/julia/large_negative.json' ); +var largePositive = require( './fixtures/julia/large_positive.json' ); +var mediumNegative = require( './fixtures/julia/medium_negative.json' ); +var mediumPositive = require( './fixtures/julia/medium_positive.json' ); +var smallNegative = require( './fixtures/julia/small_negative.json' ); +var smallPositive = require( './fixtures/julia/small_positive.json' ); +var smaller = require( './fixtures/julia/smaller.json' ); +var tinyNegative = require( './fixtures/julia/tiny_negative.json' ); +var tinyPositive = require( './fixtures/julia/tiny_positive.json' ); +var hugeNegative = require( './fixtures/julia/huge_negative.json' ); +var hugePositive = require( './fixtures/julia/huge_positive.json' ); + + +// TESTS // + +tape( 'main export is a function', opts, function test( t ) { + t.ok( true, __filename ); + t.true( typeof atan, 'function', 'main export is a function' ); + t.end(); +}); + +tape( 'the function computes the arctangent on the interval `[ -1e-38, -1e-30] `', opts, function test( t ) { + var expected; + var delta; + var tol; + var x; + var y; + var i; + var e; + + x = tinyNegative.x; + expected = tinyNegative.expected; + + for ( i = 0; i < x.length; i++ ) { + y = atanf( 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 arctangent on the interval `[ 1e-30, 1e-38 ]`', opts, function test( t ) { + var expected; + var delta; + var tol; + var x; + var y; + var i; + var e; + + x = tinyPositive.x; + expected = tinyPositive.expected; + + for ( i = 0; i < x.length; i++ ) { + y = atanf( 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 arctangent on the interval `[ -0.8, 0.8 ]`', opts, function test( t ) { + var expected; + var delta; + var tol; + var x; + var y; + var i; + var e; + + x = smaller.x; + expected = smaller.expected; + + for ( i = 0; i < x.length; i++ ) { + y = atanf( x[ i ] ); + e = float64ToFloat32( expected[ i ] ); + if ( y === e ) { + t.equal( y, e, 'x: '+x[ i ]+'. E: '+e ); + } else { + delta = abs( y - e ); + tol = 1.8 * 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 arctangent on the interval `[ -1.0, -0.8 ]`', 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 = atanf( 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 arctangent on the interval `[ 0.8, 1.0 ]`', 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 = atanf( 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 arctangent on the interval `[ -3.0, -1.0 ]`', opts, function test( t ) { + var expected; + var delta; + var tol; + var x; + var y; + var i; + var e; + + x = mediumNegative.x; + expected = mediumNegative.expected; + + for ( i = 0; i < x.length; i++ ) { + y = atanf( 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 arctangent on the interval `[ 1.0, 3.0 ]`', opts, function test( t ) { + var expected; + var delta; + var tol; + var x; + var y; + var i; + var e; + + x = mediumPositive.x; + expected = mediumPositive.expected; + + for ( i = 0; i < x.length; i++ ) { + y = atanf( 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 arctangent on the interval `[ 3.0, 100.0 ]`', opts, function test( t ) { + var expected; + var delta; + var tol; + var x; + var y; + var i; + var e; + + x = largePositive.x; + expected = largePositive.expected; + + for ( i = 0; i < x.length; i++ ) { + y = atanf( 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 arctangent on the interval `[ -100.0, -3.0 ]`', opts, function test( t ) { + var expected; + var delta; + var tol; + var x; + var y; + var i; + var e; + + x = largeNegative.x; + expected = largeNegative.expected; + + for ( i = 0; i < x.length; i++ ) { + y = atanf( 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 arctangent on the interval `[ 100.0, 1000.0 ]`', opts, function test( t ) { + var expected; + var delta; + var tol; + var x; + var y; + var i; + var e; + + x = largerPositive.x; + expected = largerPositive.expected; + + for ( i = 0; i < x.length; i++ ) { + y = atanf( 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 arctangent on the interval `[ -1000.0, -100.0 ]`', opts, function test( t ) { + var expected; + var delta; + var tol; + var x; + var y; + var i; + var e; + + x = largerNegative.x; + expected = largerNegative.expected; + + for ( i = 0; i < x.length; i++ ) { + y = atanf( 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 arctangent on the interval `[ -1e20, -1e28 ]`', opts, function test( t ) { + var expected; + var delta; + var tol; + var x; + var y; + var i; + var e; + + x = hugeNegative.x; + expected = hugeNegative.expected; + + for ( i = 0; i < x.length; i++ ) { + y = atanf( 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 arctangent on the interval `[ 1e30, 1e38 ]`', opts, function test( t ) { + var expected; + var delta; + var tol; + var x; + var y; + var i; + var e; + + x = hugePositive.x; + expected = hugePositive.expected; + + for ( i = 0; i < x.length; i++ ) { + y = atanf( 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 = atanf( NaN ); + t.equal( isnanf( v ), true, 'returns NaN' ); + t.end(); +});