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All rights reserved. + +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. diff --git a/lib/node_modules/@stdlib/math/base/special/tanf/README.md b/lib/node_modules/@stdlib/math/base/special/tanf/README.md new file mode 100644 index 000000000000..d5647aed3c31 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/tanf/README.md @@ -0,0 +1,200 @@ + + +# Tangent + +> Evaluate the [tangent][tangent] of a single-precision floating-point number (in radians). + +
+ +The [tangent][tangent] is defined as + + + +```math +\tan x = \frac{\sin x}{\cos x} +``` + + + +
+ + + +
+ +## Usage + +```javascript +var tanf = require( '@stdlib/math/base/special/tanf' ); +``` + +#### tanf( x ) + +Evaluates the [tangent][tangent] of a single-precision floating-point number (in radians). + +```javascript +var v = tanf( 0.0 ); +// returns ~0.0 + +v = tanf( -3.141592653589793/4.0 ); +// returns ~-1.0 + +v = tanf( 3.141592653589793/4.0 ); +// returns ~1.0 + +v = tanf( NaN ); +// returns NaN +``` + +
+ + + +
+ +## Examples + + + +```javascript +var uniform = require( '@stdlib/random/array/uniform' ); +var logEachMap = require( '@stdlib/console/log-each-map' ); +var PI = require( '@stdlib/constants/float32/pi' ); +var tanf = require( '@stdlib/math/base/special/tanf' ); + +var opts = { + 'dtype': 'float32' +}; +var x = uniform( 100, -PI/2.0, PI/2.0, opts ); + +logEachMap( 'tanf(%0.4f) = %0.4f', x, tanf ); +``` + +
+ + + + + +* * * + +
+ +## C APIs + + + +
+ +
+ + + + + +
+ +### Usage + +```c +#include "stdlib/math/base/special/tanf.h" +``` + +#### stdlib_base_tanf( x ) + +Evaluates the [tangent][tangent] of a single-precision floating-point number (in radians). + +```c +float y = stdlib_base_tanf( -3.141592653589793f / 4.0f ); +// returns ~-1.0f +``` + +The function accepts the following arguments: + +- **x**: `[in] float` input value. + +```c +float stdlib_base_tanf( const float x ); +``` + +
+ + + + + +
+ +
+ + + + + +
+ +### Examples + +```c +#include "stdlib/math/base/special/tanf.h" +#include + +int main( void ) { + const float x[] = { 0.0f, 0.523f, 0.785f, 1.047f, 3.14f }; + + float y; + int i; + for ( i = 0; i < 5; i++ ) { + y = stdlib_base_tanf( x[ i ] ); + printf( "tanf(%f) = %f\n", x[ i ], y ); + } +} +``` + +
+ + + +
+ + + + + +
+ +
+ + + + + +
+ +[tangent]: http://mathworld.wolfram.com/Tangent.html + + + + + +
+ + diff --git a/lib/node_modules/@stdlib/math/base/special/tanf/benchmark/benchmark.js b/lib/node_modules/@stdlib/math/base/special/tanf/benchmark/benchmark.js new file mode 100644 index 000000000000..95ca0ad458b6 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/tanf/benchmark/benchmark.js @@ -0,0 +1,54 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2025 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 uniform = require( '@stdlib/random/array/uniform' ); +var isnanf = require( '@stdlib/math/base/assert/is-nanf' ); +var pkg = require( './../package.json' ).name; +var tanf = require( './../lib' ); + + +// MAIN // + +bench( pkg, function benchmark( b ) { + var x; + var y; + var i; + + x = uniform( 100, -10.0, 10.0, { + 'dtype': 'float32' + }); + + b.tic(); + for ( i = 0; i < b.iterations; i++ ) { + y = tanf( x[ i%x.length ] ); + 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/tanf/benchmark/benchmark.native.js b/lib/node_modules/@stdlib/math/base/special/tanf/benchmark/benchmark.native.js new file mode 100644 index 000000000000..1eabfec2b204 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/tanf/benchmark/benchmark.native.js @@ -0,0 +1,63 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2025 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 uniform = require( '@stdlib/random/array/uniform' ); +var isnanf = require( '@stdlib/math/base/assert/is-nanf' ); +var tryRequire = require( '@stdlib/utils/try-require' ); +var pkg = require( './../package.json' ).name; + + +// VARIABLES // + +var tanf = tryRequire( resolve( __dirname, './../lib/native.js' ) ); +var opts = { + 'skip': ( tanf instanceof Error ) +}; + + +// MAIN // + +bench( pkg+'::native', opts, function benchmark( b ) { + var x; + var y; + var i; + + x = uniform( 100, -10.0, 10.0, { + 'dtype': 'float32' + }); + + b.tic(); + for ( i = 0; i < b.iterations; i++ ) { + y = tanf( x[ i%x.length ] ); + 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/tanf/benchmark/c/Makefile b/lib/node_modules/@stdlib/math/base/special/tanf/benchmark/c/Makefile new file mode 100644 index 000000000000..d564e8b2d6f9 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/tanf/benchmark/c/Makefile @@ -0,0 +1,127 @@ +#/ +# @license Apache-2.0 +# +# Copyright (c) 2025 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 C targets: +c_targets := benchmark.out + + +# RULES # + +#/ +# Compiles C source files. +# +# @param {string} [C_COMPILER] - C compiler +# @param {string} [CFLAGS] - C compiler flags +# @param {(string|void)} [fPIC] - compiler flag indicating whether to generate position independent code +# +# @example +# make +# +# @example +# make all +#/ +all: $(c_targets) + +.PHONY: all + +#/ +# Compiles C source files. +# +# @private +# @param {string} CC - C compiler +# @param {string} CFLAGS - C compiler flags +# @param {(string|void)} fPIC - compiler flag indicating whether to generate position independent code +#/ +$(c_targets): %.out: %.c + $(QUIET) $(CC) $(CFLAGS) $(fPIC) -o $@ $< -lm + +#/ +# 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/tanf/benchmark/c/benchmark.c b/lib/node_modules/@stdlib/math/base/special/tanf/benchmark/c/benchmark.c new file mode 100644 index 000000000000..9b01f5913e8d --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/tanf/benchmark/c/benchmark.c @@ -0,0 +1,137 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2025 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 +#include +#include +#include +#include + +#define NAME "tanf" +#define ITERATIONS 1000000 +#define REPEATS 3 + +/** +* Prints the TAP version. +*/ +static void print_version( void ) { + printf( "TAP version 13\n" ); +} + +/** +* Prints the TAP summary. +* +* @param total total number of tests +* @param passing total number of passing tests +*/ +static 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 +*/ +static 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 +*/ +static double tic( void ) { + struct timeval now; + gettimeofday( &now, NULL ); + return (double)now.tv_sec + (double)now.tv_usec/1.0e6; +} + +/** +* Generates a random number on the interval [min,max). +* +* @param min minimum value (inclusive) +* @param max maximum value (exclusive) +* @return random number +*/ +static float random_uniform( const float min, const float max ) { + float v = (float)rand() / ( (float)RAND_MAX + 1.0f ); + return min + ( v*(max-min) ); +} + +/** +* Runs a benchmark. +* +* @return elapsed time in seconds +*/ +static double benchmark( void ) { + float x[ 100 ]; + double elapsed; + double t; + float y; + int i; + + for ( i = 0; i < 100; i++ ) { + x[ i ] = random_uniform( -10.0f, 10.0f ); + } + + t = tic(); + for ( i = 0; i < ITERATIONS; i++ ) { + y = tanf( x[ i%100 ] ); + if ( y != y ) { + printf( "should not return NaN\n" ); + break; + } + } + elapsed = tic() - t; + if ( y != y ) { + printf( "should not return NaN\n" ); + } + return elapsed; +} + +/** +* Main execution sequence. +*/ +int main( void ) { + double elapsed; + int i; + + // Use the current time to seed the random number generator: + srand( time( NULL ) ); + + print_version(); + for ( i = 0; i < REPEATS; i++ ) { + printf( "# c::%s\n", NAME ); + elapsed = benchmark(); + print_results( elapsed ); + printf( "ok %d benchmark finished\n", i+1 ); + } + print_summary( REPEATS, REPEATS ); +} diff --git a/lib/node_modules/@stdlib/math/base/special/tanf/benchmark/c/cephes/Makefile b/lib/node_modules/@stdlib/math/base/special/tanf/benchmark/c/cephes/Makefile new file mode 100644 index 000000000000..59023faf1628 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/tanf/benchmark/c/cephes/Makefile @@ -0,0 +1,113 @@ +#/ +# @license Apache-2.0 +# +# Copyright (c) 2025 The Stdlib Authors. +# +# Licensed under the Apache License, Version 2.0 (the "License"); +# you may not use this file except in compliance with the License. +# You may obtain a copy of the License at +# +# http://www.apache.org/licenses/LICENSE-2.0 +# +# Unless required by applicable law or agreed to in writing, software +# distributed under the License is distributed on an "AS IS" BASIS, +# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +# See the License for the specific language governing permissions and +# limitations under the License. +#/ + + +# VARIABLES # + +ifndef VERBOSE + QUIET := @ +endif + +# Specify the path to Cephes: +CEPHES ?= + +# Specify a list of Cephes source files: +CEPHES_SRC ?= + +# Determine the OS: +# +# [1]: https://en.wikipedia.org/wiki/Uname#Examples +# [2]: http://stackoverflow.com/a/27776822/2225624 +OS ?= $(shell uname) +ifneq (, $(findstring MINGW,$(OS))) + OS := WINNT +else +ifneq (, $(findstring MSYS,$(OS))) + OS := WINNT +else +ifneq (, $(findstring CYGWIN,$(OS))) + OS := WINNT +endif +endif +endif + +# Define the program used for compiling C source files: +ifdef C_COMPILER + CC := $(C_COMPILER) +else + CC := gcc +endif + +# Define the command-line options when compiling C files: +CFLAGS ?= \ + -std=c99 \ + -O3 \ + -Wall \ + -pedantic + +# Determine whether to generate [position independent code][1]: +# +# [1]: https://gcc.gnu.org/onlinedocs/gcc/Code-Gen-Options.html#Code-Gen-Options +# [2]: http://stackoverflow.com/questions/5311515/gcc-fpic-option +ifeq ($(OS), WINNT) + fPIC ?= +else + fPIC ?= -fPIC +endif + +# List of C targets: +c_targets := benchmark.out + + +# TARGETS # + +# Default target. +# +# This target is the default target. + +all: $(c_targets) + +.PHONY: all + + +# Compile C source. +# +# This target compiles C source files. + +$(c_targets): %.out: %.c + $(QUIET) $(CC) $(CFLAGS) $(fPIC) -o $@ $(CEPHES_SRC) $< -lm + + +# Run a benchmark. +# +# This target runs a benchmark. + +run: $(c_targets) + $(QUIET) ./$< + +.PHONY: run + + +# Perform clean-up. +# +# This target removes generated files. + +clean: + $(QUIET) -rm -f *.o *.out + +.PHONY: clean diff --git a/lib/node_modules/@stdlib/math/base/special/tanf/benchmark/c/cephes/benchmark.c b/lib/node_modules/@stdlib/math/base/special/tanf/benchmark/c/cephes/benchmark.c new file mode 100644 index 000000000000..cfb3d115dba7 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/tanf/benchmark/c/cephes/benchmark.c @@ -0,0 +1,142 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2025 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 +#include +#include +#include +#include + +#define NAME "tanf" +#define ITERATIONS 1000000 +#define REPEATS 3 + +/** +* Define prototypes for external functions. +*/ +extern float tanf( float x ); + +/** +* Prints the TAP version. +*/ +static void print_version( void ) { + printf( "TAP version 13\n" ); +} + +/** +* Prints the TAP summary. +* +* @param total total number of tests +* @param passing total number of passing tests +*/ +static 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 +*/ +static 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 +*/ +static double tic( void ) { + struct timeval now; + gettimeofday( &now, NULL ); + return (double)now.tv_sec + (double)now.tv_usec/1.0e6; +} + +/** +* Generates a random number on the interval [min,max). +* +* @param min minimum value (inclusive) +* @param max maximum value (exclusive) +* @return random number +*/ +static float random_uniform( const float min, const float max ) { + float v = (float)rand() / ( (float)RAND_MAX + 1.0f ); + return min + ( v*(max-min) ); +} + +/** +* Runs a benchmark. +* +* @return elapsed time in seconds +*/ +static double benchmark( void ) { + float x[ 100 ]; + double elapsed; + double t; + float y; + int i; + + for ( i = 0; i < 100; i++ ) { + x[ i ] = random_uniform( -10.0f, 10.0f ); + } + + t = tic(); + for ( i = 0; i < ITERATIONS; i++ ) { + y = tanf( x[ i%100 ] ); + 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::cephes::%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/tanf/benchmark/c/native/Makefile b/lib/node_modules/@stdlib/math/base/special/tanf/benchmark/c/native/Makefile new file mode 100644 index 000000000000..a4bd7b38fd74 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/tanf/benchmark/c/native/Makefile @@ -0,0 +1,146 @@ +#/ +# @license Apache-2.0 +# +# Copyright (c) 2025 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/tanf/benchmark/c/native/benchmark.c b/lib/node_modules/@stdlib/math/base/special/tanf/benchmark/c/native/benchmark.c new file mode 100644 index 000000000000..df65c223c3e3 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/tanf/benchmark/c/native/benchmark.c @@ -0,0 +1,138 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2025 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/tanf.h" +#include +#include +#include +#include +#include + +#define NAME "tanf" +#define ITERATIONS 1000000 +#define REPEATS 3 + +/** +* Prints the TAP version. +*/ +static void print_version( void ) { + printf( "TAP version 13\n" ); +} + +/** +* Prints the TAP summary. +* +* @param total total number of tests +* @param passing total number of passing tests +*/ +static 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 +*/ +static 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 +*/ +static double tic( void ) { + struct timeval now; + gettimeofday( &now, NULL ); + return (double)now.tv_sec + (double)now.tv_usec/1.0e6; +} + +/** +* Generates a random number on the interval [min,max). +* +* @param min minimum value (inclusive) +* @param max maximum value (exclusive) +* @return random number +*/ +static float random_uniform( const float min, const float max ) { + float v = (float)rand() / ( (float)RAND_MAX + 1.0f ); + return min + ( v*(max-min) ); +} + +/** +* Runs a benchmark. +* +* @return elapsed time in seconds +*/ +static double benchmark( void ) { + float x[ 100 ]; + double elapsed; + double t; + float y; + int i; + + for ( i = 0; i < 100; i++ ) { + x[ i ] = random_uniform( -10.0f, 10.0f ); + } + + t = tic(); + for ( i = 0; i < ITERATIONS; i++ ) { + y = stdlib_base_tanf( x[ i%100 ] ); + 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/tanf/binding.gyp b/lib/node_modules/@stdlib/math/base/special/tanf/binding.gyp new file mode 100644 index 000000000000..68a1ca11d160 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/tanf/binding.gyp @@ -0,0 +1,170 @@ +# @license Apache-2.0 +# +# Copyright (c) 2025 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/tanf/docs/repl.txt b/lib/node_modules/@stdlib/math/base/special/tanf/docs/repl.txt new file mode 100644 index 000000000000..440ddc39f858 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/tanf/docs/repl.txt @@ -0,0 +1,29 @@ + +{{alias}}( x ) + Computes the tangent of a single-precision floating-point number + (in radians). + + Parameters + ---------- + x: number + Input value (in radians). + + Returns + ------- + y: number + Tangent. + + Examples + -------- + > var y = {{alias}}( 0.0 ) + ~0.0 + > y = {{alias}}( -{{alias:@stdlib/constants/float32/pi}}/4.0 ) + ~-1.0 + > y = {{alias}}( {{alias:@stdlib/constants/float32/pi}}/4.0 ) + ~1.0 + > y = {{alias}}( NaN ) + NaN + + See Also + -------- + diff --git a/lib/node_modules/@stdlib/math/base/special/tanf/docs/types/index.d.ts b/lib/node_modules/@stdlib/math/base/special/tanf/docs/types/index.d.ts new file mode 100644 index 000000000000..fda8eb3d5868 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/tanf/docs/types/index.d.ts @@ -0,0 +1,48 @@ +/* +* @license Apache-2.0 +* +* Copyright (c) 2025 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 + +/** +* Evaluates the tangent of a single-precision floating-point number (in radians). +* +* @param x - input value (in radians) +* @returns tangent +* +* @example +* var v = tanf( 0.0 ); +* // returns ~0.0 +* +* @example +* var v = tanf( -3.141592653589793/4.0 ); +* // returns ~-1.0 +* +* @example +* var v = tanf( 3.141592653589793/4.0 ); +* // returns ~1.0 +* +* @example +* var v = tanf( NaN ); +* // returns NaN +*/ +declare function tanf( x: number ): number; + + +// EXPORTS // + +export = tanf; diff --git a/lib/node_modules/@stdlib/math/base/special/tanf/docs/types/test.ts b/lib/node_modules/@stdlib/math/base/special/tanf/docs/types/test.ts new file mode 100644 index 000000000000..e107729ba21a --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/tanf/docs/types/test.ts @@ -0,0 +1,44 @@ +/* +* @license Apache-2.0 +* +* Copyright (c) 2025 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 tanf = require( './index' ); + + +// TESTS // + +// The function returns a number... +{ + tanf( 2 ); // $ExpectType number +} + +// The compiler throws an error if the function is provided a value other than a number... +{ + tanf( true ); // $ExpectError + tanf( false ); // $ExpectError + tanf( null ); // $ExpectError + tanf( undefined ); // $ExpectError + tanf( '5' ); // $ExpectError + tanf( [] ); // $ExpectError + tanf( {} ); // $ExpectError + tanf( ( x: number ): number => x ); // $ExpectError +} + +// The compiler throws an error if the function is provided insufficient arguments... +{ + tanf(); // $ExpectError +} diff --git a/lib/node_modules/@stdlib/math/base/special/tanf/examples/c/Makefile b/lib/node_modules/@stdlib/math/base/special/tanf/examples/c/Makefile new file mode 100644 index 000000000000..25ced822f96a --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/tanf/examples/c/Makefile @@ -0,0 +1,146 @@ +#/ +# @license Apache-2.0 +# +# Copyright (c) 2025 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/tanf/examples/c/example.c b/lib/node_modules/@stdlib/math/base/special/tanf/examples/c/example.c new file mode 100644 index 000000000000..a9c7dd80d936 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/tanf/examples/c/example.c @@ -0,0 +1,31 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2025 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/tanf.h" +#include + +int main( void ) { + const float x[] = { 0.0f, 0.523f, 0.785f, 1.047f, 3.14f }; + + float y; + int i; + for ( i = 0; i < 5; i++ ) { + y = stdlib_base_tanf( x[ i ] ); + printf( "tanf(%f) = %f\n", x[ i ], y ); + } +} diff --git a/lib/node_modules/@stdlib/math/base/special/tanf/examples/index.js b/lib/node_modules/@stdlib/math/base/special/tanf/examples/index.js new file mode 100644 index 000000000000..a1d061013b29 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/tanf/examples/index.js @@ -0,0 +1,31 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2025 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 uniform = require( '@stdlib/random/array/uniform' ); +var logEachMap = require( '@stdlib/console/log-each-map' ); +var PI = require( '@stdlib/constants/float32/pi' ); +var tanf = require( './../lib' ); + +var opts = { + 'dtype': 'float32' +}; +var x = uniform( 100, -PI/2.0, PI/2.0, opts ); + +logEachMap( 'tanf(%0.4f) = %0.4f', x, tanf ); diff --git a/lib/node_modules/@stdlib/math/base/special/tanf/include.gypi b/lib/node_modules/@stdlib/math/base/special/tanf/include.gypi new file mode 100644 index 000000000000..ecfaf82a3279 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/tanf/include.gypi @@ -0,0 +1,53 @@ +# @license Apache-2.0 +# +# Copyright (c) 2025 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 01111110 10010010000111111011010 => 0x3f490fda = 1061752768 +var PIO4_WORD = 0x3f490fda|0; // asm type annotation + +// 3*PI/4 = 2.356194257736206 => 0 10000000 00101101100101111100011 => 0x4016cbe3 = 1075235811 +var THREE_PIO4_WORD = 0x4016cbe3|0; // asm type annotation + +// 5*PI/4 = 3.9269907474517822 => 0 10000000 11110110101001111010001 => 0x407b53d1 = 1081824209 +var FIVE_PIO4_WORD = 0x407b53d1|0; // asm type annotation + +// 7*PI/4 = 5.497786998748779 => 0 10000001 01011111110110111011111 => 0x40afeddf = 1085271519 +var SEVEN_PIO4_WORD = 0x40afeddf|0; // asm type annotation + +// 9*PI/4 = 7.068583011627197 => 0 10000001 11000100011000111010101 => 0x40e231d5 = 1088565717 +var NINE_PIO4_WORD = 0x40e231d5|0; // asm type annotation + +// 2^-12 = 0.000244140625 => 0 01110011 00000000000000000000000 => 0x39800000 = 964689920 +var SMALL_WORD = 0x39800000|0; // asm type annotation + +// Small multiples of PI/2 in double-precision floating-point format: +var PIO2 = FLOAT64_HALF_PI; // 0x3FF921FB, 0x54442D18 +var PI = 2.0 * FLOAT64_HALF_PI; // 0x400921FB, 0x54442D18 +var THREE_PIO2 = 3.0 * FLOAT64_HALF_PI; // 0x4012D97C, 0x7F3321D2 +var TWO_PI = 4.0 * FLOAT64_HALF_PI; // 0x401921FB, 0x54442D18 + +// Array for storing the remainder element: +var Y = [ 0.0 ]; + + +// MAIN // + +/** +* Evaluates the tangent of a single-precision floating-point number (in radians). +* +* ## Method +* +* - Let \\(S\\), \\(C\\), and \\(T\\) denote the \\(\sin\\), \\(\cos\\), and \\(\tan\\), respectively, on \\(\[-\pi/4, +\pi/4\]\\). +* +* - Reduce the argument \\(x\\) to \\(y = x-k\pi/2\\) in \\(\[-\pi/4, +\pi/4\]\\), and let \\(n = k \mod 4\\). +* +* - We have +* +* | n | sin(x) | cos(x) | tan(x) | +* | - | ------ | ------ | ------ | +* | 0 | S | C | T | +* | 1 | C | -S | -1/T | +* | 2 | -S | -C | T | +* | 3 | -C | S | -1/T | +* +* @param {number} x - input value (in radians) +* @returns {number} tangent +* +* @example +* var v = tanf( 0.0 ); +* // returns ~0.0 +* +* @example +* var v = tanf( -3.141592653589793/4.0 ); +* // returns ~-1.0 +* +* @example +* var v = tanf( 3.141592653589793/4.0 ); +* // returns ~1.0 +* +* @example +* var v = tanf( NaN ); +* // returns NaN +*/ +function tanf( x ) { + var hx; + var ix; + var n; + + hx = toWordf( f32( x ) )|0; // asm type annotation + ix = (hx & FLOAT32_ABS_MASK)|0; // asm type annotation + + // Case: |x| ~<= π/4 + if ( ix <= PIO4_WORD ) { + // Case: |x| < 2^-12 + if ( ix < SMALL_WORD ) { + return f32( x ); + } + return f32( kernelTanf( x, 1 ) ); + } + // Case: |x| ~<= 5π/4 + if ( ix <= FIVE_PIO4_WORD ) { + // Case: |x| ~<= 3π/4 + if ( ix <= THREE_PIO4_WORD ) { + if ( hx > 0 ) { + return f32( kernelTanf( x - PIO2, -1 ) ); + } + return f32( kernelTanf( x + PIO2, -1 ) ); + } + if ( hx > 0 ) { + return f32( kernelTanf( x - PI, 1 ) ); + } + return f32( kernelTanf( x + PI, 1 ) ); + } + // Case: |x| ~<= 9π/4 + if ( ix <= NINE_PIO4_WORD ) { + // Case: |x| ~<= 7π/4 + if ( ix <= SEVEN_PIO4_WORD ) { + if ( hx > 0 ) { + return f32( kernelTanf( x - THREE_PIO2, -1 ) ); + } + return f32( kernelTanf( x + THREE_PIO2, -1 ) ); + } + if ( hx > 0 ) { + return f32( kernelTanf( x - TWO_PI, 1 ) ); + } + return f32( kernelTanf( x + TWO_PI, 1 ) ); + } + // Case: x is NaN or infinity + if ( ix >= FLOAT32_EXPONENT_MASK ) { + return NaN; + } + // Argument reduction... + n = rempio2f( f32( x ), Y ); + return f32( kernelTanf( Y[ 0 ], 1 - ( ( n & 1 ) << 1 ) ) ); +} + + +// EXPORTS // + +module.exports = tanf; diff --git a/lib/node_modules/@stdlib/math/base/special/tanf/lib/native.js b/lib/node_modules/@stdlib/math/base/special/tanf/lib/native.js new file mode 100644 index 000000000000..93258210a4b7 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/tanf/lib/native.js @@ -0,0 +1,58 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2025 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 // + +/** +* Evaluates the tangent of a single-precision floating-point number (in radians). +* +* @private +* @param {number} x - input value (in radians) +* @returns {number} tangent +* +* @example +* var v = tanf( 0.0 ); +* // returns ~0.0 +* +* @example +* var v = tanf( -3.141592653589793 / 4.0 ); +* // returns ~-1.0 +* +* @example +* var v = tanf( 3.141592653589793 / 4.0 ); +* // returns ~1.0 +* +* @example +* var v = tanf( NaN ); +* // returns NaN +*/ +function tanf( x ) { + return addon( x ); +} + + +// EXPORTS // + +module.exports = tanf; diff --git a/lib/node_modules/@stdlib/math/base/special/tanf/manifest.json b/lib/node_modules/@stdlib/math/base/special/tanf/manifest.json new file mode 100644 index 000000000000..da1cd6cf7d79 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/tanf/manifest.json @@ -0,0 +1,93 @@ +{ + "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": [ + "-lm" + ], + "libpath": [], + "dependencies": [ + "@stdlib/math/base/napi/unary", + "@stdlib/number/float32/base/to-word", + "@stdlib/constants/float64/half-pi", + "@stdlib/constants/float32/exponent-mask", + "@stdlib/constants/float32/abs-mask", + "@stdlib/math/base/special/kernel-tanf", + "@stdlib/math/base/special/rempio2f" + ] + }, + { + "task": "benchmark", + "src": [ + "./src/main.c" + ], + "include": [ + "./include" + ], + "libraries": [ + "-lm" + ], + "libpath": [], + "dependencies": [ + "@stdlib/number/float32/base/to-word", + "@stdlib/constants/float64/half-pi", + "@stdlib/constants/float32/exponent-mask", + "@stdlib/constants/float32/abs-mask", + "@stdlib/math/base/special/kernel-tanf", + "@stdlib/math/base/special/rempio2f" + ] + }, + { + "task": "examples", + "src": [ + "./src/main.c" + ], + "include": [ + "./include" + ], + "libraries": [ + "-lm" + ], + "libpath": [], + "dependencies": [ + "@stdlib/number/float32/base/to-word", + "@stdlib/constants/float64/half-pi", + "@stdlib/constants/float32/exponent-mask", + "@stdlib/constants/float32/abs-mask", + "@stdlib/math/base/special/kernel-tanf", + "@stdlib/math/base/special/rempio2f" + ] + } + ] +} diff --git a/lib/node_modules/@stdlib/math/base/special/tanf/package.json b/lib/node_modules/@stdlib/math/base/special/tanf/package.json new file mode 100644 index 000000000000..db116a2e827b --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/tanf/package.json @@ -0,0 +1,72 @@ +{ + "name": "@stdlib/math/base/special/tanf", + "version": "0.0.0", + "description": "Evaluate the tangent of a single-precision floating-point number (in radians).", + "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", + "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.tan", + "tan", + "tanf", + "tangent", + "sin", + "sine", + "cos", + "cosine", + "trig", + "trigonometry", + "value", + "number" + ] +} diff --git a/lib/node_modules/@stdlib/math/base/special/tanf/src/Makefile b/lib/node_modules/@stdlib/math/base/special/tanf/src/Makefile new file mode 100644 index 000000000000..7733b6180cb4 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/tanf/src/Makefile @@ -0,0 +1,70 @@ +#/ +# @license Apache-2.0 +# +# Copyright (c) 2025 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/tanf/src/addon.c b/lib/node_modules/@stdlib/math/base/special/tanf/src/addon.c new file mode 100644 index 000000000000..27adc74ca854 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/tanf/src/addon.c @@ -0,0 +1,22 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2025 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/tanf.h" +#include "stdlib/math/base/napi/unary.h" + +STDLIB_MATH_BASE_NAPI_MODULE_F_F( stdlib_base_tanf ) diff --git a/lib/node_modules/@stdlib/math/base/special/tanf/src/main.c b/lib/node_modules/@stdlib/math/base/special/tanf/src/main.c new file mode 100644 index 000000000000..ada03de19149 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/tanf/src/main.c @@ -0,0 +1,144 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2025 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 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/s_tan.c}. The implementation follows the original, but has been modified according to stdlib conventions. +* +* ```text +* 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 +* software is freely granted, provided that this notice +* is preserved. +* ``` +*/ + +#include "stdlib/math/base/special/tanf.h" +#include "stdlib/math/base/special/kernel_tanf.h" +#include "stdlib/math/base/special/rempio2f.h" +#include "stdlib/constants/float64/half_pi.h" +#include "stdlib/constants/float32/abs_mask.h" +#include "stdlib/constants/float32/exponent_mask.h" +#include "stdlib/number/float32/base/to_word.h" +#include + +// PI/4 = 0.7853981256484985 => 0 01111110 10010010000111111011010 => 0x3f490fda = 1061752768 +static const int32_t PIO4_WORD = 0x3f490fda; + +// 3*PI/4 = 2.356194257736206 => 0 10000000 00101101100101111100011 => 0x4016cbe3 = 1075235811 +static const int32_t THREE_PIO4_WORD = 0x4016cbe3; + +// 5*PI/4 = 3.9269907474517822 => 0 10000000 11110110101001111010001 => 0x407b53d1 = 1081824209 +static const int32_t FIVE_PIO4_WORD = 0x407b53d1; + +// 7*PI/4 = 5.497786998748779 => 0 10000001 01011111110110111011111 => 0x40afeddf = 1085271519 +static const int32_t SEVEN_PIO4_WORD = 0x40afeddf; + +// 9*PI/4 = 7.068583011627197 => 0 10000001 11000100011000111010101 => 0x40e231d5 = 1088565717 +static const int32_t NINE_PIO4_WORD = 0x40e231d5; + +// 2^-12 = 0.000244140625 => 0 01110011 00000000000000000000000 => 0x39800000 = 964689920 +static const int32_t SMALL_WORD = 0x39800000; + +// Small multiples of PI/2 in double-precision floating-point format: +static const double PIO2 = STDLIB_CONSTANT_FLOAT64_HALF_PI; // 0x3FF921FB, 0x54442D18 +static const double PI = 2.0 * STDLIB_CONSTANT_FLOAT64_HALF_PI; // 0x400921FB, 0x54442D18 +static const double THREE_PIO2 = 3.0 * STDLIB_CONSTANT_FLOAT64_HALF_PI; // 0x4012D97C, 0x7F3321D2 +static const double TWO_PI = 4.0 * STDLIB_CONSTANT_FLOAT64_HALF_PI; // 0x401921FB, 0x54442D18 + +/** +* Evaluates the tangent of a single-precision floating-point number (in radians). +* +* ## Method +* +* - Let \\(S\\), \\(C\\), and \\(T\\) denote the \\(\sin\\), \\(\cos\\), and \\(\tan\\), respectively, on \\(\[-\pi/4, +\pi/4\]\\). +* +* - Reduce the argument \\(x\\) to \\(y = x-k\pi/2\\) in \\(\[-\pi/4, +\pi/4\]\\), and let \\(n = k \mod 4\\). +* +* - We have +* +* | n | sin(x) | cos(x) | tan(x) | +* | - | ------ | ------ | ------ | +* | 0 | S | C | T | +* | 1 | C | -S | -1/T | +* | 2 | -S | -C | T | +* | 3 | -C | S | -1/T | +* +* @param x input value (in radians) +* @return tangent +* +* @example +* float y = stdlib_base_tanf( -3.141592653589793f / 4.0f ); +* // returns ~-1.0f +*/ +float stdlib_base_tanf( const float x ) { + uint32_t uix; + int32_t ix; + int32_t n; + double y; + + stdlib_base_float32_to_word( x, &uix ); + ix = (int32_t)uix; + ix &= STDLIB_CONSTANT_FLOAT32_ABS_MASK; + + // Case: |x| ~<= π/4 + if ( ix <= PIO4_WORD ) { + // Case: |x| < 2^-12 + if ( ix < SMALL_WORD ) { + return x; + } + return stdlib_base_kernel_tanf( (double)x, 1 ); + } + // Case: |x| ~<= 5π/4 + if ( ix <= FIVE_PIO4_WORD ) { + // Case: |x| ~<= 3π/4 + if ( ix <= THREE_PIO4_WORD ) { + if ( (int32_t)uix > 0 ) { + return stdlib_base_kernel_tanf( (double)x - PIO2, -1 ); + } + return stdlib_base_kernel_tanf( (double)x + PIO2, -1 ); + } + if ( (int32_t)uix > 0 ) { + return stdlib_base_kernel_tanf( (double)x - PI, 1 ); + } + return stdlib_base_kernel_tanf( (double)x + PI, 1 ); + } + // Case: |x| ~<= 9π/4 + if ( ix <= NINE_PIO4_WORD ) { + // Case: |x| ~<= 7π/4 + if ( ix <= SEVEN_PIO4_WORD ) { + if ( (int32_t)uix > 0 ) { + return stdlib_base_kernel_tanf( (double)x - THREE_PIO2, -1 ); + } + return stdlib_base_kernel_tanf( (double)x + THREE_PIO2, -1 ); + } + if ( (int32_t)uix > 0 ) { + return stdlib_base_kernel_tanf( (double)x - TWO_PI, 1 ); + } + return stdlib_base_kernel_tanf( (double)x + TWO_PI, 1 ); + } + // Case: x is NaN or infinity + if ( ix >= STDLIB_CONSTANT_FLOAT32_EXPONENT_MASK ) { + return 0.0f / 0.0f; // NaN + } + // Argument reduction... + n = stdlib_base_rempio2f( x, &y ); + return stdlib_base_kernel_tanf( y, 1 - ( ( n & 1 ) << 1 ) ); +} diff --git a/lib/node_modules/@stdlib/math/base/special/tanf/test/fixtures/julia/REQUIRE b/lib/node_modules/@stdlib/math/base/special/tanf/test/fixtures/julia/REQUIRE new file mode 100644 index 000000000000..308c3be89c85 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/tanf/test/fixtures/julia/REQUIRE @@ -0,0 +1,2 @@ +julia 1.5 +JSON 0.21 diff --git a/lib/node_modules/@stdlib/math/base/special/tanf/test/fixtures/julia/huge_negative.json b/lib/node_modules/@stdlib/math/base/special/tanf/test/fixtures/julia/huge_negative.json new file mode 100644 index 000000000000..a72d0765b825 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/tanf/test/fixtures/julia/huge_negative.json @@ -0,0 +1 @@ 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diff --git a/lib/node_modules/@stdlib/math/base/special/tanf/test/fixtures/julia/huge_positive.json b/lib/node_modules/@stdlib/math/base/special/tanf/test/fixtures/julia/huge_positive.json new file mode 100644 index 000000000000..fcc43e370d74 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/tanf/test/fixtures/julia/huge_positive.json @@ -0,0 +1 @@ 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diff --git a/lib/node_modules/@stdlib/math/base/special/tanf/test/fixtures/julia/large_negative.json b/lib/node_modules/@stdlib/math/base/special/tanf/test/fixtures/julia/large_negative.json new file mode 100644 index 000000000000..fda50aea95e3 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/tanf/test/fixtures/julia/large_negative.json @@ -0,0 +1 @@ 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diff --git a/lib/node_modules/@stdlib/math/base/special/tanf/test/fixtures/julia/large_positive.json b/lib/node_modules/@stdlib/math/base/special/tanf/test/fixtures/julia/large_positive.json new file mode 100644 index 000000000000..77ed393df191 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/tanf/test/fixtures/julia/large_positive.json @@ -0,0 +1 @@ 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diff --git a/lib/node_modules/@stdlib/math/base/special/tanf/test/fixtures/julia/medium_negative.json b/lib/node_modules/@stdlib/math/base/special/tanf/test/fixtures/julia/medium_negative.json new file mode 100644 index 000000000000..f0b2e455b310 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/tanf/test/fixtures/julia/medium_negative.json @@ -0,0 +1 @@ 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diff --git a/lib/node_modules/@stdlib/math/base/special/tanf/test/fixtures/julia/medium_positive.json b/lib/node_modules/@stdlib/math/base/special/tanf/test/fixtures/julia/medium_positive.json new file mode 100644 index 000000000000..4bd368850584 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/tanf/test/fixtures/julia/medium_positive.json @@ -0,0 +1 @@ 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diff --git a/lib/node_modules/@stdlib/math/base/special/tanf/test/fixtures/julia/runner.jl b/lib/node_modules/@stdlib/math/base/special/tanf/test/fixtures/julia/runner.jl new file mode 100755 index 000000000000..2b23442afd09 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/tanf/test/fixtures/julia/runner.jl @@ -0,0 +1,118 @@ +#!/usr/bin/env julia +# +# @license Apache-2.0 +# +# Copyright (c) 2025 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( -1000.0, stop = 1000.0, length = 2001 ); +julia> gen( x, \"data.json\" ); +``` +""" +function gen( domain, name ) + x = collect( domain ); + y = tan.( 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) ); + write( outfile, "\n" ); + close( outfile ); +end + +# Get the filename: +file = @__FILE__; + +# Extract the directory in which this file resides: +dir = dirname( file ); + +# Subnormal values: +x = Float32.( range( 1.0e-45, stop = 1.0e-38, length = 500 ) ); +gen( x, "subnormal.json" ); + +# Negative tiny values: +x = Float32.( range( -1.0e-30, stop = -1.0e-38, length = 500 ) ); +gen( x, "tiny_negative.json" ); + +# Positive tiny values: +x = Float32.( range( 1.0e-30, stop = 1.0e-38, length = 500 ) ); +gen( x, "tiny_positive.json" ); + +# Small(er) values: +x = Float32.( range( -pi, stop = pi, length = 2000 ) ); +gen( x, "smaller.json" ); + +# Negative small values: +x = Float32.( range( -4.0*pi, stop = -pi, length = 1000 ) ); +gen( x, "small_negative.json" ); + +# Positive small values: +x = Float32.( range( pi, stop = 4.0*pi, length = 1000 ) ); +gen( x, "small_positive.json" ); + +# Negative medium values: +x = Float32.( range( -4.0*pi, stop = -12.0*pi, length = 1000 ) ); +gen( x, "medium_negative.json" ); + +# Positive medium values: +x = Float32.( range( 4.0*pi, stop = 12.0*pi, length = 1000 ) ); +gen( x, "medium_positive.json" ); + +# Large negative values: +x = Float32.( range( -12.0*pi, stop = -256.0*pi, length = 1000 ) ); +gen( x, "large_negative.json" ); + +# Large positive values: +x = Float32.( range( 12.0*pi, stop = 256.0*pi, length = 1000 ) ); +gen( x, "large_positive.json" ); + +# Very large negative values: +x = Float32.( range( -2.0^20*(pi/2.0), stop = -2.0^60*(pi/2.0), length = 500 ) ); +gen( x, "very_large_negative.json" ); + +# Very large positive values: +x = Float32.( range( 2.0^20*(pi/2.0), stop = 2.0^60*(pi/2.0), length = 500 ) ); +gen( x, "very_large_positive.json" ); + +# Huge negative values: +x = Float32.( range( -2.0^60*(pi/2.0), stop = -2.0^120*(pi/2.0), length = 1000 ) ); +gen( x, "huge_negative.json" ); + +# Huge positive values: +x = Float32.( range( 2.0^60*(pi/2.0), stop = 2.0^120*(pi/2.0), length = 1000 ) ); +gen( x, "huge_positive.json" ); diff --git a/lib/node_modules/@stdlib/math/base/special/tanf/test/fixtures/julia/small_negative.json b/lib/node_modules/@stdlib/math/base/special/tanf/test/fixtures/julia/small_negative.json new file mode 100644 index 000000000000..9868a085eedb --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/tanf/test/fixtures/julia/small_negative.json @@ -0,0 +1 @@ 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diff --git a/lib/node_modules/@stdlib/math/base/special/tanf/test/fixtures/julia/small_positive.json b/lib/node_modules/@stdlib/math/base/special/tanf/test/fixtures/julia/small_positive.json new file mode 100644 index 000000000000..3d48232d634b --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/tanf/test/fixtures/julia/small_positive.json @@ -0,0 +1 @@ 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diff --git a/lib/node_modules/@stdlib/math/base/special/tanf/test/fixtures/julia/smaller.json b/lib/node_modules/@stdlib/math/base/special/tanf/test/fixtures/julia/smaller.json new file mode 100644 index 000000000000..86d2d709fb2e --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/tanf/test/fixtures/julia/smaller.json @@ -0,0 +1 @@ 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diff --git a/lib/node_modules/@stdlib/math/base/special/tanf/test/fixtures/julia/subnormal.json b/lib/node_modules/@stdlib/math/base/special/tanf/test/fixtures/julia/subnormal.json new file mode 100644 index 000000000000..985c97bfc766 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/tanf/test/fixtures/julia/subnormal.json @@ -0,0 +1 @@ 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diff --git a/lib/node_modules/@stdlib/math/base/special/tanf/test/fixtures/julia/tiny_negative.json b/lib/node_modules/@stdlib/math/base/special/tanf/test/fixtures/julia/tiny_negative.json new file mode 100644 index 000000000000..3ab692fb2bcf --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/tanf/test/fixtures/julia/tiny_negative.json @@ -0,0 +1 @@ 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diff --git a/lib/node_modules/@stdlib/math/base/special/tanf/test/fixtures/julia/tiny_positive.json b/lib/node_modules/@stdlib/math/base/special/tanf/test/fixtures/julia/tiny_positive.json new file mode 100644 index 000000000000..addd6ab09ce4 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/tanf/test/fixtures/julia/tiny_positive.json @@ -0,0 +1 @@ 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diff --git a/lib/node_modules/@stdlib/math/base/special/tanf/test/fixtures/julia/very_large_negative.json b/lib/node_modules/@stdlib/math/base/special/tanf/test/fixtures/julia/very_large_negative.json new file mode 100644 index 000000000000..c542bccc5a37 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/tanf/test/fixtures/julia/very_large_negative.json @@ -0,0 +1 @@ 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diff --git a/lib/node_modules/@stdlib/math/base/special/tanf/test/fixtures/julia/very_large_positive.json b/lib/node_modules/@stdlib/math/base/special/tanf/test/fixtures/julia/very_large_positive.json new file mode 100644 index 000000000000..41c3e633e47e --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/tanf/test/fixtures/julia/very_large_positive.json @@ -0,0 +1 @@ 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diff --git a/lib/node_modules/@stdlib/math/base/special/tanf/test/test.js b/lib/node_modules/@stdlib/math/base/special/tanf/test/test.js new file mode 100644 index 000000000000..496f81c06359 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/tanf/test/test.js @@ -0,0 +1,481 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2025 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 absf = require( '@stdlib/math/base/special/absf' ); +var f32 = require( '@stdlib/number/float64/base/to-float32' ); +var PI = require( '@stdlib/constants/float32/pi' ); +var EPS = require( '@stdlib/constants/float32/eps' ); +var PINF = require( '@stdlib/constants/float32/pinf' ); +var NINF = require( '@stdlib/constants/float32/ninf' ); +var isNegativeZerof = require( '@stdlib/math/base/assert/is-negative-zerof' ); +var isPositiveZerof = require( '@stdlib/math/base/assert/is-positive-zerof' ); +var tanf = require( './../lib' ); + + +// FIXTURES // + +var hugeNegative = require( './fixtures/julia/huge_negative.json' ); +var hugePositive = require( './fixtures/julia/huge_positive.json' ); +var veryLargeNegative = require( './fixtures/julia/very_large_negative.json' ); +var veryLargePositive = require( './fixtures/julia/very_large_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 subnormal = require( './fixtures/julia/subnormal.json' ); + + +// TESTS // + +tape( 'main export is a function', function test( t ) { + t.ok( true, __filename ); + t.true( typeof tanf, 'function', 'main export is a function' ); + t.end(); +}); + +tape( 'the function computes the tangent (huge negative values)', function test( t ) { + var expected; + var delta; + var tol; + var x; + var y; + var i; + + x = hugeNegative.x; + expected = hugeNegative.expected; + + for ( i = 0; i < x.length; i++ ) { + x[ i ] = f32( x[ i ] ); + expected[ i ] = f32( expected[ i ] ); + y = tanf( x[ i ] ); + if ( y === expected[ i ] ) { + t.strictEqual( y, expected[ i ], 'x: '+x[i]+'. E: '+expected[i] ); + } else { + delta = absf( y - expected[ i ] ); + tol = EPS * absf( expected[ i ] ); + t.ok( delta <= tol, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+expected[i]+'. tol: '+tol+'. Δ: '+delta+'.' ); + } + } + t.end(); +}); + +tape( 'the function computes the tangent (huge positive values)', function test( t ) { + var expected; + var delta; + var tol; + var x; + var y; + var i; + + x = hugePositive.x; + expected = hugePositive.expected; + + for ( i = 0; i < x.length; i++ ) { + x[ i ] = f32( x[ i ] ); + expected[ i ] = f32( expected[ i ] ); + y = tanf( x[ i ] ); + if ( y === expected[ i ] ) { + t.strictEqual( y, expected[ i ], 'x: '+x[i]+'. E: '+expected[i] ); + } else { + delta = absf( y - expected[ i ] ); + tol = EPS * absf( expected[ i ] ); + t.ok( delta <= tol, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+expected[i]+'. tol: '+tol+'. Δ: '+delta+'.' ); + } + } + t.end(); +}); + +tape( 'the function computes the tangent (very large positive values)', function test( t ) { + var expected; + var delta; + var tol; + var x; + var y; + var i; + + x = veryLargePositive.x; + expected = veryLargePositive.expected; + + for ( i = 0; i < x.length; i++ ) { + x[ i ] = f32( x[ i ] ); + expected[ i ] = f32( expected[ i ] ); + y = tanf( x[ i ] ); + if ( y === expected[ i ] ) { + t.strictEqual( y, expected[ i ], 'x: '+x[i]+'. E: '+expected[i] ); + } else { + delta = absf( y - expected[ i ] ); + tol = EPS * absf( expected[ i ] ); + t.ok( delta <= tol, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+expected[i]+'. tol: '+tol+'. Δ: '+delta+'.' ); + } + } + t.end(); +}); + +tape( 'the function computes the tangent (very large negative values)', function test( t ) { + var expected; + var delta; + var tol; + var x; + var y; + var i; + + x = veryLargeNegative.x; + expected = veryLargeNegative.expected; + + for ( i = 0; i < x.length; i++ ) { + x[ i ] = f32( x[ i ] ); + expected[ i ] = f32( expected[ i ] ); + y = tanf( x[ i ] ); + if ( y === expected[ i ] ) { + t.strictEqual( y, expected[ i ], 'x: '+x[i]+'. E: '+expected[i] ); + } else { + delta = absf( y - expected[ i ] ); + tol = EPS * absf( expected[ i ] ); + t.ok( delta <= tol, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+expected[i]+'. tol: '+tol+'. Δ: '+delta+'.' ); + } + } + t.end(); +}); + +tape( 'the function computes the tangent (large positive values)', function test( t ) { + var expected; + var delta; + var tol; + var x; + var y; + var i; + + x = largePositive.x; + expected = largePositive.expected; + + for ( i = 0; i < x.length; i++ ) { + x[ i ] = f32( x[ i ] ); + expected[ i ] = f32( expected[ i ] ); + y = tanf( x[ i ] ); + if ( y === expected[ i ] ) { + t.strictEqual( y, expected[ i ], 'x: '+x[i]+'. E: '+expected[i] ); + } else { + delta = absf( y - expected[ i ] ); + tol = EPS * absf( expected[ i ] ); + t.ok( delta <= tol, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+expected[i]+'. tol: '+tol+'. Δ: '+delta+'.' ); + } + } + t.end(); +}); + +tape( 'the function computes the tangent (large negative values)', function test( t ) { + var expected; + var delta; + var tol; + var x; + var y; + var i; + + x = largeNegative.x; + expected = largeNegative.expected; + + for ( i = 0; i < x.length; i++ ) { + x[ i ] = f32( x[ i ] ); + expected[ i ] = f32( expected[ i ] ); + y = tanf( x[ i ] ); + if ( y === expected[ i ] ) { + t.strictEqual( y, expected[ i ], 'x: '+x[i]+'. E: '+expected[i] ); + } else { + delta = absf( y - expected[ i ] ); + tol = EPS * absf( expected[ i ] ); + t.ok( delta <= tol, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+expected[i]+'. tol: '+tol+'. Δ: '+delta+'.' ); + } + } + t.end(); +}); + +tape( 'the function computes the tangent (medium positive values)', function test( t ) { + var expected; + var delta; + var tol; + var x; + var y; + var i; + + x = mediumPositive.x; + expected = mediumPositive.expected; + + for ( i = 0; i < x.length; i++ ) { + x[ i ] = f32( x[ i ] ); + expected[ i ] = f32( expected[ i ] ); + y = tanf( x[ i ] ); + if ( y === expected[ i ] ) { + t.strictEqual( y, expected[ i ], 'x: '+x[i]+'. E: '+expected[i] ); + } else { + delta = absf( y - expected[ i ] ); + tol = EPS * absf( expected[ i ] ); + t.ok( delta <= tol, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+expected[i]+'. tol: '+tol+'. Δ: '+delta+'.' ); + } + } + t.end(); +}); + +tape( 'the function computes the tangent (medium negative values)', function test( t ) { + var expected; + var delta; + var tol; + var x; + var y; + var i; + + x = mediumNegative.x; + expected = mediumNegative.expected; + + for ( i = 0; i < x.length; i++ ) { + x[ i ] = f32( x[ i ] ); + expected[ i ] = f32( expected[ i ] ); + y = tanf( x[ i ] ); + if ( y === expected[ i ] ) { + t.strictEqual( y, expected[ i ], 'x: '+x[i]+'. E: '+expected[i] ); + } else { + delta = absf( y - expected[ i ] ); + tol = EPS * absf( expected[ i ] ); + t.ok( delta <= tol, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+expected[i]+'. tol: '+tol+'. Δ: '+delta+'.' ); + } + } + t.end(); +}); + +tape( 'the function computes the tangent (small positive values)', function test( t ) { + var expected; + var delta; + var tol; + var x; + var y; + var i; + + x = smallPositive.x; + expected = smallPositive.expected; + + for ( i = 0; i < x.length; i++ ) { + x[ i ] = f32( x[ i ] ); + expected[ i ] = f32( expected[ i ] ); + y = tanf( x[ i ] ); + if ( y === expected[ i ] ) { + t.strictEqual( y, expected[ i ], 'x: '+x[i]+'. E: '+expected[i] ); + } else { + delta = absf( y - expected[ i ] ); + tol = EPS * absf( expected[ i ] ); + t.ok( delta <= tol, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+expected[i]+'. tol: '+tol+'. Δ: '+delta+'.' ); + } + } + t.end(); +}); + +tape( 'the function computes the tangent (small negative values)', function test( t ) { + var expected; + var delta; + var tol; + var x; + var y; + var i; + + x = smallNegative.x; + expected = smallNegative.expected; + + for ( i = 0; i < x.length; i++ ) { + x[ i ] = f32( x[ i ] ); + expected[ i ] = f32( expected[ i ] ); + y = tanf( x[ i ] ); + if ( y === expected[ i ] ) { + t.strictEqual( y, expected[ i ], 'x: '+x[i]+'. E: '+expected[i] ); + } else { + delta = absf( y - expected[ i ] ); + tol = EPS * absf( expected[ i ] ); + t.ok( delta <= tol, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+expected[i]+'. tol: '+tol+'. Δ: '+delta+'.' ); + } + } + t.end(); +}); + +tape( 'the function computes the tangent (smaller values)', function test( t ) { + var expected; + var delta; + var tol; + var x; + var y; + var i; + + x = smaller.x; + expected = smaller.expected; + + for ( i = 0; i < x.length; i++ ) { + x[ i ] = f32( x[ i ] ); + expected[ i ] = f32( expected[ i ] ); + y = tanf( x[ i ] ); + if ( y === expected[ i ] ) { + t.strictEqual( y, expected[ i ], 'x: '+x[i]+'. E: '+expected[i] ); + } else { + delta = absf( y - expected[ i ] ); + tol = EPS * absf( expected[ i ] ); + t.ok( delta <= tol, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+expected[i]+'. tol: '+tol+'. Δ: '+delta+'.' ); + } + } + t.end(); +}); + +tape( 'the function computes the tangent (tiny positive values)', function test( t ) { + var expected; + var delta; + var tol; + var x; + var y; + var i; + + x = tinyPositive.x; + expected = tinyPositive.expected; + + for ( i = 0; i < x.length; i++ ) { + x[ i ] = f32( x[ i ] ); + expected[ i ] = f32( expected[ i ] ); + y = tanf( x[ i ] ); + if ( y === expected[ i ] ) { + t.strictEqual( y, expected[ i ], 'x: '+x[i]+'. E: '+expected[i] ); + } else { + delta = absf( y - expected[ i ] ); + tol = EPS * absf( expected[ i ] ); + t.ok( delta <= tol, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+expected[i]+'. tol: '+tol+'. Δ: '+delta+'.' ); + } + } + t.end(); +}); + +tape( 'the function computes the tangent (tiny negative values)', function test( t ) { + var expected; + var delta; + var tol; + var x; + var y; + var i; + + x = tinyNegative.x; + expected = tinyNegative.expected; + + for ( i = 0; i < x.length; i++ ) { + x[ i ] = f32( x[ i ] ); + expected[ i ] = f32( expected[ i ] ); + y = tanf( x[ i ] ); + if ( y === expected[ i ] ) { + t.strictEqual( y, expected[ i ], 'x: '+x[i]+'. E: '+expected[i] ); + } else { + delta = absf( y - expected[ i ] ); + tol = EPS * absf( expected[ i ] ); + t.ok( delta <= tol, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+expected[i]+'. tol: '+tol+'. Δ: '+delta+'.' ); + } + } + t.end(); +}); + +tape( 'the function computes the tangent (subnormal values)', function test( t ) { + var expected; + var delta; + var tol; + var x; + var y; + var i; + + x = subnormal.x; + expected = subnormal.expected; + + for ( i = 0; i < x.length; i++ ) { + x[ i ] = f32( x[ i ] ); + expected[ i ] = f32( expected[ i ] ); + y = tanf( x[ i ] ); + if ( y === expected[ i ] ) { + t.strictEqual( y, expected[ i ], 'x: '+x[i]+'. E: '+expected[i] ); + } else { + delta = absf( y - expected[ i ] ); + tol = EPS * absf( expected[ i ] ); + t.ok( delta <= tol, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+expected[i]+'. tol: '+tol+'. Δ: '+delta+'.' ); + } + } + + t.end(); +}); + +tape( 'if provided a multiple of `-pi/2`, the function does not return `-infinity`', function test( t ) { + var expected; + var x; + var v; + + // NOTE: does not equal -inf due to rounding errors. Comparing to Julia: 2.2877332e7 + x = f32( -PI / f32( 2.0 ) ); + v = tanf( x ); + expected = f32( 2.2877332e7 ); + t.strictEqual( v, expected, 'returns expected value' ); + t.end(); +}); + +tape( 'if provided a multiple of `pi/2`, the function does not return `+infinity`', function test( t ) { + var expected; + var x; + var v; + + // NOTE: does not equal +inf due to rounding errors. Comparing to Julia: -2.2877332e7 + x = f32( PI / f32( 2.0 ) ); + v = tanf( x ); + expected = f32( -2.2877332e7 ); + t.strictEqual( v, expected, 'returns expected value' ); + t.end(); +}); + +tape( ' if provided a `NaN`, the function returns `NaN`', function test( t ) { + var v = tanf( NaN ); + t.strictEqual( isnanf( v ), true, 'returns expected value' ); + t.end(); +}); + +tape( 'if provided `+infinity`, the function returns `NaN`', function test( t ) { + var v = tanf( PINF ); + t.strictEqual( isnanf( v ), true, 'returns expected value' ); + t.end(); +}); + +tape( 'if provided `-infinity`, the function returns `NaN`', function test( t ) { + var v = tanf( NINF ); + t.strictEqual( isnanf( v ), true, 'returns expected value' ); + t.end(); +}); + +tape( 'the function returns `-0` if provided `-0`', function test( t ) { + var v = tanf( -0.0 ); + t.strictEqual( isNegativeZerof( v ), true, 'returns expected value' ); + t.end(); +}); + +tape( 'the function returns `+0` if provided `+0`', function test( t ) { + var v = tanf( 0.0 ); + t.strictEqual( isPositiveZerof( v ), true, 'returns expected value' ); + t.end(); +}); diff --git a/lib/node_modules/@stdlib/math/base/special/tanf/test/test.native.js b/lib/node_modules/@stdlib/math/base/special/tanf/test/test.native.js new file mode 100644 index 000000000000..7fc65899f5d5 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/tanf/test/test.native.js @@ -0,0 +1,490 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2025 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 absf = require( '@stdlib/math/base/special/absf' ); +var f32 = require( '@stdlib/number/float64/base/to-float32' ); +var PI = require( '@stdlib/constants/float32/pi' ); +var EPS = require( '@stdlib/constants/float32/eps' ); +var PINF = require( '@stdlib/constants/float32/pinf' ); +var NINF = require( '@stdlib/constants/float32/ninf' ); +var isNegativeZerof = require( '@stdlib/math/base/assert/is-negative-zerof' ); +var isPositiveZerof = require( '@stdlib/math/base/assert/is-positive-zerof' ); +var tryRequire = require( '@stdlib/utils/try-require' ); + + +// FIXTURES // + +var hugeNegative = require( './fixtures/julia/huge_negative.json' ); +var hugePositive = require( './fixtures/julia/huge_positive.json' ); +var veryLargeNegative = require( './fixtures/julia/very_large_negative.json' ); +var veryLargePositive = require( './fixtures/julia/very_large_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 subnormal = require( './fixtures/julia/subnormal.json' ); + + +// VARIABLES // + +var tanf = tryRequire( resolve( __dirname, './../lib/native.js' ) ); +var opts = { + 'skip': ( tanf instanceof Error ) +}; + + +// TESTS // + +tape( 'main export is a function', opts, function test( t ) { + t.ok( true, __filename ); + t.true( typeof tanf, 'function', 'main export is a function' ); + t.end(); +}); + +tape( 'the function computes the tangent (huge negative values)', opts, function test( t ) { + var expected; + var delta; + var tol; + var x; + var y; + var i; + + x = hugeNegative.x; + expected = hugeNegative.expected; + + for ( i = 0; i < x.length; i++ ) { + x[ i ] = f32( x[ i ] ); + expected[ i ] = f32( expected[ i ] ); + y = tanf( x[ i ] ); + if ( y === expected[ i ] ) { + t.strictEqual( y, expected[ i ], 'x: '+x[i]+'. E: '+expected[i] ); + } else { + delta = absf( y - expected[ i ] ); + tol = EPS * absf( expected[ i ] ); + t.ok( delta <= tol, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+expected[i]+'. tol: '+tol+'. Δ: '+delta+'.' ); + } + } + t.end(); +}); + +tape( 'the function computes the tangent (huge positive values)', opts, function test( t ) { + var expected; + var delta; + var tol; + var x; + var y; + var i; + + x = hugePositive.x; + expected = hugePositive.expected; + + for ( i = 0; i < x.length; i++ ) { + x[ i ] = f32( x[ i ] ); + expected[ i ] = f32( expected[ i ] ); + y = tanf( x[ i ] ); + if ( y === expected[ i ] ) { + t.strictEqual( y, expected[ i ], 'x: '+x[i]+'. E: '+expected[i] ); + } else { + delta = absf( y - expected[ i ] ); + tol = EPS * absf( expected[ i ] ); + t.ok( delta <= tol, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+expected[i]+'. tol: '+tol+'. Δ: '+delta+'.' ); + } + } + t.end(); +}); + +tape( 'the function computes the tangent (very large positive values)', opts, function test( t ) { + var expected; + var delta; + var tol; + var x; + var y; + var i; + + x = veryLargePositive.x; + expected = veryLargePositive.expected; + + for ( i = 0; i < x.length; i++ ) { + x[ i ] = f32( x[ i ] ); + expected[ i ] = f32( expected[ i ] ); + y = tanf( x[ i ] ); + if ( y === expected[ i ] ) { + t.strictEqual( y, expected[ i ], 'x: '+x[i]+'. E: '+expected[i] ); + } else { + delta = absf( y - expected[ i ] ); + tol = EPS * absf( expected[ i ] ); + t.ok( delta <= tol, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+expected[i]+'. tol: '+tol+'. Δ: '+delta+'.' ); + } + } + t.end(); +}); + +tape( 'the function computes the tangent (very large negative values)', opts, function test( t ) { + var expected; + var delta; + var tol; + var x; + var y; + var i; + + x = veryLargeNegative.x; + expected = veryLargeNegative.expected; + + for ( i = 0; i < x.length; i++ ) { + x[ i ] = f32( x[ i ] ); + expected[ i ] = f32( expected[ i ] ); + y = tanf( x[ i ] ); + if ( y === expected[ i ] ) { + t.strictEqual( y, expected[ i ], 'x: '+x[i]+'. E: '+expected[i] ); + } else { + delta = absf( y - expected[ i ] ); + tol = EPS * absf( expected[ i ] ); + t.ok( delta <= tol, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+expected[i]+'. tol: '+tol+'. Δ: '+delta+'.' ); + } + } + t.end(); +}); + +tape( 'the function computes the tangent (large positive values)', opts, function test( t ) { + var expected; + var delta; + var tol; + var x; + var y; + var i; + + x = largePositive.x; + expected = largePositive.expected; + + for ( i = 0; i < x.length; i++ ) { + x[ i ] = f32( x[ i ] ); + expected[ i ] = f32( expected[ i ] ); + y = tanf( x[ i ] ); + if ( y === expected[ i ] ) { + t.strictEqual( y, expected[ i ], 'x: '+x[i]+'. E: '+expected[i] ); + } else { + delta = absf( y - expected[ i ] ); + tol = EPS * absf( expected[ i ] ); + t.ok( delta <= tol, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+expected[i]+'. tol: '+tol+'. Δ: '+delta+'.' ); + } + } + t.end(); +}); + +tape( 'the function computes the tangent (large negative values)', opts, function test( t ) { + var expected; + var delta; + var tol; + var x; + var y; + var i; + + x = largeNegative.x; + expected = largeNegative.expected; + + for ( i = 0; i < x.length; i++ ) { + x[ i ] = f32( x[ i ] ); + expected[ i ] = f32( expected[ i ] ); + y = tanf( x[ i ] ); + if ( y === expected[ i ] ) { + t.strictEqual( y, expected[ i ], 'x: '+x[i]+'. E: '+expected[i] ); + } else { + delta = absf( y - expected[ i ] ); + tol = EPS * absf( expected[ i ] ); + t.ok( delta <= tol, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+expected[i]+'. tol: '+tol+'. Δ: '+delta+'.' ); + } + } + t.end(); +}); + +tape( 'the function computes the tangent (medium positive values)', opts, function test( t ) { + var expected; + var delta; + var tol; + var x; + var y; + var i; + + x = mediumPositive.x; + expected = mediumPositive.expected; + + for ( i = 0; i < x.length; i++ ) { + x[ i ] = f32( x[ i ] ); + expected[ i ] = f32( expected[ i ] ); + y = tanf( x[ i ] ); + if ( y === expected[ i ] ) { + t.strictEqual( y, expected[ i ], 'x: '+x[i]+'. E: '+expected[i] ); + } else { + delta = absf( y - expected[ i ] ); + tol = EPS * absf( expected[ i ] ); + t.ok( delta <= tol, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+expected[i]+'. tol: '+tol+'. Δ: '+delta+'.' ); + } + } + t.end(); +}); + +tape( 'the function computes the tangent (medium negative values)', opts, function test( t ) { + var expected; + var delta; + var tol; + var x; + var y; + var i; + + x = mediumNegative.x; + expected = mediumNegative.expected; + + for ( i = 0; i < x.length; i++ ) { + x[ i ] = f32( x[ i ] ); + expected[ i ] = f32( expected[ i ] ); + y = tanf( x[ i ] ); + if ( y === expected[ i ] ) { + t.strictEqual( y, expected[ i ], 'x: '+x[i]+'. E: '+expected[i] ); + } else { + delta = absf( y - expected[ i ] ); + tol = EPS * absf( expected[ i ] ); + t.ok( delta <= tol, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+expected[i]+'. tol: '+tol+'. Δ: '+delta+'.' ); + } + } + t.end(); +}); + +tape( 'the function computes the tangent (small positive values)', opts, function test( t ) { + var expected; + var delta; + var tol; + var x; + var y; + var i; + + x = smallPositive.x; + expected = smallPositive.expected; + + for ( i = 0; i < x.length; i++ ) { + x[ i ] = f32( x[ i ] ); + expected[ i ] = f32( expected[ i ] ); + y = tanf( x[ i ] ); + if ( y === expected[ i ] ) { + t.strictEqual( y, expected[ i ], 'x: '+x[i]+'. E: '+expected[i] ); + } else { + delta = absf( y - expected[ i ] ); + tol = EPS * absf( expected[ i ] ); + t.ok( delta <= tol, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+expected[i]+'. tol: '+tol+'. Δ: '+delta+'.' ); + } + } + t.end(); +}); + +tape( 'the function computes the tangent (small negative values)', opts, function test( t ) { + var expected; + var delta; + var tol; + var x; + var y; + var i; + + x = smallNegative.x; + expected = smallNegative.expected; + + for ( i = 0; i < x.length; i++ ) { + x[ i ] = f32( x[ i ] ); + expected[ i ] = f32( expected[ i ] ); + y = tanf( x[ i ] ); + if ( y === expected[ i ] ) { + t.strictEqual( y, expected[ i ], 'x: '+x[i]+'. E: '+expected[i] ); + } else { + delta = absf( y - expected[ i ] ); + tol = EPS * absf( expected[ i ] ); + t.ok( delta <= tol, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+expected[i]+'. tol: '+tol+'. Δ: '+delta+'.' ); + } + } + t.end(); +}); + +tape( 'the function computes the tangent (smaller values)', opts, function test( t ) { + var expected; + var delta; + var tol; + var x; + var y; + var i; + + x = smaller.x; + expected = smaller.expected; + + for ( i = 0; i < x.length; i++ ) { + x[ i ] = f32( x[ i ] ); + expected[ i ] = f32( expected[ i ] ); + y = tanf( x[ i ] ); + if ( y === expected[ i ] ) { + t.strictEqual( y, expected[ i ], 'x: '+x[i]+'. E: '+expected[i] ); + } else { + delta = absf( y - expected[ i ] ); + tol = EPS * absf( expected[ i ] ); + t.ok( delta <= tol, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+expected[i]+'. tol: '+tol+'. Δ: '+delta+'.' ); + } + } + t.end(); +}); + +tape( 'the function computes the tangent (tiny positive values)', opts, function test( t ) { + var expected; + var delta; + var tol; + var x; + var y; + var i; + + x = tinyPositive.x; + expected = tinyPositive.expected; + + for ( i = 0; i < x.length; i++ ) { + x[ i ] = f32( x[ i ] ); + expected[ i ] = f32( expected[ i ] ); + y = tanf( x[ i ] ); + if ( y === expected[ i ] ) { + t.strictEqual( y, expected[ i ], 'x: '+x[i]+'. E: '+expected[i] ); + } else { + delta = absf( y - expected[ i ] ); + tol = EPS * absf( expected[ i ] ); + t.ok( delta <= tol, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+expected[i]+'. tol: '+tol+'. Δ: '+delta+'.' ); + } + } + t.end(); +}); + +tape( 'the function computes the tangent (tiny negative values)', opts, function test( t ) { + var expected; + var delta; + var tol; + var x; + var y; + var i; + + x = tinyNegative.x; + expected = tinyNegative.expected; + + for ( i = 0; i < x.length; i++ ) { + x[ i ] = f32( x[ i ] ); + expected[ i ] = f32( expected[ i ] ); + y = tanf( x[ i ] ); + if ( y === expected[ i ] ) { + t.strictEqual( y, expected[ i ], 'x: '+x[i]+'. E: '+expected[i] ); + } else { + delta = absf( y - expected[ i ] ); + tol = EPS * absf( expected[ i ] ); + t.ok( delta <= tol, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+expected[i]+'. tol: '+tol+'. Δ: '+delta+'.' ); + } + } + t.end(); +}); + +tape( 'the function computes the tangent (subnormal values)', opts, function test( t ) { + var expected; + var delta; + var tol; + var x; + var y; + var i; + + x = subnormal.x; + expected = subnormal.expected; + + for ( i = 0; i < x.length; i++ ) { + x[ i ] = f32( x[ i ] ); + expected[ i ] = f32( expected[ i ] ); + y = tanf( x[ i ] ); + if ( y === expected[ i ] ) { + t.strictEqual( y, expected[ i ], 'x: '+x[i]+'. E: '+expected[i] ); + } else { + delta = absf( y - expected[ i ] ); + tol = EPS * absf( expected[ i ] ); + t.ok( delta <= tol, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+expected[i]+'. tol: '+tol+'. Δ: '+delta+'.' ); + } + } + + t.end(); +}); + +tape( 'if provided a multiple of `-pi/2`, the function does not return `-infinity`', opts, function test( t ) { + var expected; + var x; + var v; + + // NOTE: does not equal -inf due to rounding errors. Comparing to Julia: 2.2877332e7 + x = f32( -PI / f32( 2.0 ) ); + v = tanf( x ); + expected = f32( 2.2877332e7 ); + t.strictEqual( v, expected, 'returns expected value' ); + t.end(); +}); + +tape( 'if provided a multiple of `pi/2`, the function does not return `+infinity`', opts, function test( t ) { + var expected; + var x; + var v; + + // NOTE: does not equal +inf due to rounding errors. Comparing to Julia: -2.2877332e7 + x = f32( PI / f32( 2.0 ) ); + v = tanf( x ); + expected = f32( -2.2877332e7 ); + t.strictEqual( v, expected, 'returns expected value' ); + t.end(); +}); + +tape( ' if provided a `NaN`, the function returns `NaN`', opts, function test( t ) { + var v = tanf( NaN ); + t.strictEqual( isnanf( v ), true, 'returns expected value' ); + t.end(); +}); + +tape( 'if provided `+infinity`, the function returns `NaN`', opts, function test( t ) { + var v = tanf( PINF ); + t.strictEqual( isnanf( v ), true, 'returns expected value' ); + t.end(); +}); + +tape( 'if provided `-infinity`, the function returns `NaN`', opts, function test( t ) { + var v = tanf( NINF ); + t.strictEqual( isnanf( v ), true, 'returns expected value' ); + t.end(); +}); + +tape( 'the function returns `-0` if provided `-0`', opts, function test( t ) { + var v = tanf( -0.0 ); + t.strictEqual( isNegativeZerof( v ), true, 'returns expected value' ); + t.end(); +}); + +tape( 'the function returns `+0` if provided `+0`', opts, function test( t ) { + var v = tanf( 0.0 ); + t.strictEqual( isPositiveZerof( v ), true, 'returns expected value' ); + t.end(); +});