diff --git a/lib/node_modules/@stdlib/math/base/special/fast/pow-int/README.md b/lib/node_modules/@stdlib/math/base/special/fast/pow-int/README.md index 9e883d018b10..e119eea74efc 100644 --- a/lib/node_modules/@stdlib/math/base/special/fast/pow-int/README.md +++ b/lib/node_modules/@stdlib/math/base/special/fast/pow-int/README.md @@ -138,6 +138,97 @@ for ( y = 0; y < 309; y++ ) { + + +* * * + +
+ +## C APIs + + + +
+ +
+ + + + + +
+ +### Usage + +```c +#include "stdlib/math/base/special/fast/pow.h" +``` + +#### stdlib_base_fast_pow( x, y ) + +Evaluates the [exponential function][exponential-function] given a signed 32-bit integer `exponent`. + +```c +double out = stdlib_base_fast_pow( 2.0, 3 ); +// returns 8.0 + +out = stdlib_base_fast_pow( 3.14, 0 ); +// returns 1.0 +``` + +The function accepts the following arguments: + +- **x**: `[in] double` base. +- **y**: `[in] double` exponent. + +```c +double stdlib_base_fast_pow( const double x, const int32_t y ); +``` + +
+ + + + + +
+ +
+ + + + + +
+ +### Examples + +```c +#include "stdlib/math/base/special/fast/pow.h" +#include +#include + +int main( void ) { + const double x[] = { 3.14, 2.0, 2.0, 0.0 }; + const int32_t y[] = { 0, 3, -2, 0 }; + + double z; + int i; + for ( i = 0; i < 4; i++ ) { + z = stdlib_base_fast_pow( x[ i ], y[ i ] ); + printf( "pow( %lf, %d ) = %lf\n", x[ i ], y[ i ], z ); + } +} +``` + +
+ + + +
+ + +
diff --git a/lib/node_modules/@stdlib/math/base/special/fast/pow-int/benchmark/benchmark.native.js b/lib/node_modules/@stdlib/math/base/special/fast/pow-int/benchmark/benchmark.native.js new file mode 100644 index 000000000000..b6ca0a6a6b6c --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/fast/pow-int/benchmark/benchmark.native.js @@ -0,0 +1,64 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2024 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +'use strict'; + +// MODULES // + +var resolve = require( 'path' ).resolve; +var bench = require( '@stdlib/bench' ); +var randu = require( '@stdlib/random/base/randu' ); +var isnan = require( '@stdlib/math/base/assert/is-nan' ); +var floor = require( '@stdlib/math/base/special/floor' ); +var tryRequire = require( '@stdlib/utils/try-require' ); +var pkg = require( './../package.json' ).name; + + +// VARIABLES // + +var pow = tryRequire( resolve( __dirname, './../lib/native.js' ) ); +var opts = { + 'skip': ( pow instanceof Error ) +}; + + +// MAIN // + +bench( pkg+'::native', opts, function benchmark( b ) { + var x; + var y; + var z; + var i; + + b.tic(); + for ( i = 0; i < b.iterations; i++ ) { + x = ( randu() * 100.0 ) - 50.0; + y = floor( randu() * 100.0 ) - 50; + z = pow( x, y ); + if ( isnan( z ) ) { + b.fail( 'should not return NaN' ); + } + } + b.toc(); + if ( isnan( z ) ) { + b.fail( 'should not return NaN' ); + } else { + b.pass( 'benchmark finished' ); + } + b.end(); +}); diff --git a/lib/node_modules/@stdlib/math/base/special/fast/pow-int/benchmark/c/native/Makefile b/lib/node_modules/@stdlib/math/base/special/fast/pow-int/benchmark/c/native/Makefile new file mode 100644 index 000000000000..f69e9da2b4d3 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/fast/pow-int/benchmark/c/native/Makefile @@ -0,0 +1,146 @@ +#/ +# @license Apache-2.0 +# +# Copyright (c) 2024 The Stdlib Authors. +# +# Licensed under the Apache License, Version 2.0 (the "License"); +# you may not use this file except in compliance with the License. +# You may obtain a copy of the License at +# +# http://www.apache.org/licenses/LICENSE-2.0 +# +# Unless required by applicable law or agreed to in writing, software +# distributed under the License is distributed on an "AS IS" BASIS, +# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +# See the License for the specific language governing permissions and +# limitations under the License. +#/ + +# VARIABLES # + +ifndef VERBOSE + QUIET := @ +else + QUIET := +endif + +# Determine the OS ([1][1], [2][2]). +# +# [1]: https://en.wikipedia.org/wiki/Uname#Examples +# [2]: http://stackoverflow.com/a/27776822/2225624 +OS ?= $(shell uname) +ifneq (, $(findstring MINGW,$(OS))) + OS := WINNT +else +ifneq (, $(findstring MSYS,$(OS))) + OS := WINNT +else +ifneq (, $(findstring CYGWIN,$(OS))) + OS := WINNT +else +ifneq (, $(findstring Windows_NT,$(OS))) + OS := WINNT +endif +endif +endif +endif + +# Define the program used for compiling C source files: +ifdef C_COMPILER + CC := $(C_COMPILER) +else + CC := gcc +endif + +# Define the command-line options when compiling C files: +CFLAGS ?= \ + -std=c99 \ + -O3 \ + -Wall \ + -pedantic + +# Determine whether to generate position independent code ([1][1], [2][2]). +# +# [1]: https://gcc.gnu.org/onlinedocs/gcc/Code-Gen-Options.html#Code-Gen-Options +# [2]: http://stackoverflow.com/questions/5311515/gcc-fpic-option +ifeq ($(OS), WINNT) + fPIC ?= +else + fPIC ?= -fPIC +endif + +# List of includes (e.g., `-I /foo/bar -I /beep/boop/include`): +INCLUDE ?= + +# List of source files: +SOURCE_FILES ?= + +# List of libraries (e.g., `-lopenblas -lpthread`): +LIBRARIES ?= + +# List of library paths (e.g., `-L /foo/bar -L /beep/boop`): +LIBPATH ?= + +# List of C targets: +c_targets := benchmark.out + + +# RULES # + +#/ +# Compiles source files. +# +# @param {string} [C_COMPILER] - C compiler (e.g., `gcc`) +# @param {string} [CFLAGS] - C compiler options +# @param {(string|void)} [fPIC] - compiler flag determining whether to generate position independent code (e.g., `-fPIC`) +# @param {string} [INCLUDE] - list of includes (e.g., `-I /foo/bar -I /beep/boop/include`) +# @param {string} [SOURCE_FILES] - list of source files +# @param {string} [LIBPATH] - list of library paths (e.g., `-L /foo/bar -L /beep/boop`) +# @param {string} [LIBRARIES] - list of libraries (e.g., `-lopenblas -lpthread`) +# +# @example +# make +# +# @example +# make all +#/ +all: $(c_targets) + +.PHONY: all + +#/ +# Compiles C source files. +# +# @private +# @param {string} CC - C compiler (e.g., `gcc`) +# @param {string} CFLAGS - C compiler options +# @param {(string|void)} fPIC - compiler flag determining whether to generate position independent code (e.g., `-fPIC`) +# @param {string} INCLUDE - list of includes (e.g., `-I /foo/bar`) +# @param {string} SOURCE_FILES - list of source files +# @param {string} LIBPATH - list of library paths (e.g., `-L /foo/bar`) +# @param {string} LIBRARIES - list of libraries (e.g., `-lopenblas`) +#/ +$(c_targets): %.out: %.c + $(QUIET) $(CC) $(CFLAGS) $(fPIC) $(INCLUDE) -o $@ $(SOURCE_FILES) $< $(LIBPATH) -lm $(LIBRARIES) + +#/ +# Runs compiled benchmarks. +# +# @example +# make run +#/ +run: $(c_targets) + $(QUIET) ./$< + +.PHONY: run + +#/ +# Removes generated files. +# +# @example +# make clean +#/ +clean: + $(QUIET) -rm -f *.o *.out + +.PHONY: clean diff --git a/lib/node_modules/@stdlib/math/base/special/fast/pow-int/benchmark/c/native/benchmark.c b/lib/node_modules/@stdlib/math/base/special/fast/pow-int/benchmark/c/native/benchmark.c new file mode 100644 index 000000000000..26793f111785 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/fast/pow-int/benchmark/c/native/benchmark.c @@ -0,0 +1,138 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2024 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +/** +* Benchmark `pow`. +*/ +#include "stdlib/math/base/special/fast/pow.h" +#include +#include +#include +#include +#include + +#define NAME "pow" +#define ITERATIONS 100 +#define REPEATS 3 + +/** +* Prints the TAP version. +*/ +void print_version() { + printf( "TAP version 13\n" ); +} + +/** +* Prints the TAP summary. +* +* @param total total number of tests +* @param passing total number of passing tests +*/ +void print_summary( int total, int passing ) { + printf( "#\n" ); + printf( "1..%d\n", total ); // TAP plan + printf( "# total %d\n", total ); + printf( "# pass %d\n", passing ); + printf( "#\n" ); + printf( "# ok\n" ); +} + +/** +* Prints benchmarks results. +* +* @param elapsed elapsed time in seconds +*/ +void print_results( double elapsed ) { + double rate = (double)ITERATIONS / elapsed; + printf( " ---\n" ); + printf( " iterations: %d\n", ITERATIONS ); + printf( " elapsed: %0.9f\n", elapsed ); + printf( " rate: %0.9f\n", rate ); + printf( " ...\n" ); +} + +/** +* Returns a clock time. +* +* @return clock time +*/ +double tic() { + struct timeval now; + gettimeofday( &now, NULL ); + return (double)now.tv_sec + (double)now.tv_usec / 1.0e6; +} + +/** +* Generates a random number on the interval [0,1]. +* +* @return random number +*/ +double rand_double() { + int r = rand(); + return (double)r / ( (double)RAND_MAX + 1.0 ); +} + +/** +* Runs a benchmark. +* +* @return elapsed time in seconds +*/ +double benchmark() { + double elapsed; + int32_t x; + double t; + double y; + double z; + int i; + + t = tic(); + for ( i = 0; i < ITERATIONS; i++ ) { + x = ( 100.0 * rand_double() ) - 50.00; + y = floor( 100.0 * rand_double() ) - 50.00; + z = stdlib_base_fast_pow( x, y ); + if ( z != z) { + printf( "should not return NaN\n" ); + break; + } + } + elapsed = tic() - t; + if ( z != z ) { + 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/fast/pow-int/binding.gyp b/lib/node_modules/@stdlib/math/base/special/fast/pow-int/binding.gyp new file mode 100644 index 000000000000..ec3992233442 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/fast/pow-int/binding.gyp @@ -0,0 +1,170 @@ +# @license Apache-2.0 +# +# Copyright (c) 2024 The Stdlib Authors. +# +# Licensed under the Apache License, Version 2.0 (the "License"); +# you may not use this file except in compliance with the License. +# You may obtain a copy of the License at +# +# http://www.apache.org/licenses/LICENSE-2.0 +# +# Unless required by applicable law or agreed to in writing, software +# distributed under the License is distributed on an "AS IS" BASIS, +# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +# See the License for the specific language governing permissions and +# limitations under the License. + +# A `.gyp` file for building a Node.js native add-on. +# +# [1]: https://gyp.gsrc.io/docs/InputFormatReference.md +# [2]: https://gyp.gsrc.io/docs/UserDocumentation.md +{ + # List of files to include in this file: + 'includes': [ + './include.gypi', + ], + + # Define variables to be used throughout the configuration for all targets: + 'variables': { + # Target name should match the add-on export name: + 'addon_target_name%': 'addon', + + # Set variables based on the host OS: + 'conditions': [ + [ + 'OS=="win"', + { + # Define the object file suffix: + 'obj': 'obj', + }, + { + # Define the object file suffix: + 'obj': 'o', + } + ], # end condition (OS=="win") + ], # end conditions + }, # end variables + + # Define compile targets: + 'targets': [ + + # Target to generate an add-on: + { + # The target name should match the add-on export name: + 'target_name': '<(addon_target_name)', + + # Define dependencies: + 'dependencies': [], + + # Define directories which contain relevant include headers: + 'include_dirs': [ + # Local include directory: + '<@(include_dirs)', + ], + + # List of source files: + 'sources': [ + '<@(src_files)', + ], + + # Settings which should be applied when a target's object files are used as linker input: + 'link_settings': { + # Define libraries: + 'libraries': [ + '<@(libraries)', + ], + + # Define library directories: + 'library_dirs': [ + '<@(library_dirs)', + ], + }, + + # C/C++ compiler flags: + 'cflags': [ + # Enable commonly used warning options: + '-Wall', + + # Aggressive optimization: + '-O3', + ], + + # C specific compiler flags: + 'cflags_c': [ + # Specify the C standard to which a program is expected to conform: + '-std=c99', + ], + + # C++ specific compiler flags: + 'cflags_cpp': [ + # Specify the C++ standard to which a program is expected to conform: + '-std=c++11', + ], + + # Linker flags: + 'ldflags': [], + + # Apply conditions based on the host OS: + 'conditions': [ + [ + 'OS=="mac"', + { + # Linker flags: + 'ldflags': [ + '-undefined dynamic_lookup', + '-Wl,-no-pie', + '-Wl,-search_paths_first', + ], + }, + ], # end condition (OS=="mac") + [ + 'OS!="win"', + { + # C/C++ flags: + 'cflags': [ + # Generate platform-independent code: + '-fPIC', + ], + }, + ], # end condition (OS!="win") + ], # end conditions + }, # end target <(addon_target_name) + + # Target to copy a generated add-on to a standard location: + { + 'target_name': 'copy_addon', + + # Declare that the output of this target is not linked: + 'type': 'none', + + # Define dependencies: + 'dependencies': [ + # Require that the add-on be generated before building this target: + '<(addon_target_name)', + ], + + # Define a list of actions: + 'actions': [ + { + 'action_name': 'copy_addon', + 'message': 'Copying addon...', + + # Explicitly list the inputs in the command-line invocation below: + 'inputs': [], + + # Declare the expected outputs: + 'outputs': [ + '<(addon_output_dir)/<(addon_target_name).node', + ], + + # Define the command-line invocation: + 'action': [ + 'cp', + '<(PRODUCT_DIR)/<(addon_target_name).node', + '<(addon_output_dir)/<(addon_target_name).node', + ], + }, + ], # end actions + }, # end target copy_addon + ], # end targets +} diff --git a/lib/node_modules/@stdlib/math/base/special/fast/pow-int/examples/c/Makefile b/lib/node_modules/@stdlib/math/base/special/fast/pow-int/examples/c/Makefile new file mode 100644 index 000000000000..6aed70daf167 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/fast/pow-int/examples/c/Makefile @@ -0,0 +1,146 @@ +#/ +# @license Apache-2.0 +# +# Copyright (c) 2024 The Stdlib Authors. +# +# Licensed under the Apache License, Version 2.0 (the "License"); +# you may not use this file except in compliance with the License. +# You may obtain a copy of the License at +# +# http://www.apache.org/licenses/LICENSE-2.0 +# +# Unless required by applicable law or agreed to in writing, software +# distributed under the License is distributed on an "AS IS" BASIS, +# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +# See the License for the specific language governing permissions and +# limitations under the License. +#/ + +# VARIABLES # + +ifndef VERBOSE + QUIET := @ +else + QUIET := +endif + +# Determine the OS ([1][1], [2][2]). +# +# [1]: https://en.wikipedia.org/wiki/Uname#Examples +# [2]: http://stackoverflow.com/a/27776822/2225624 +OS ?= $(shell uname) +ifneq (, $(findstring MINGW,$(OS))) + OS := WINNT +else +ifneq (, $(findstring MSYS,$(OS))) + OS := WINNT +else +ifneq (, $(findstring CYGWIN,$(OS))) + OS := WINNT +else +ifneq (, $(findstring Windows_NT,$(OS))) + OS := WINNT +endif +endif +endif +endif + +# Define the program used for compiling C source files: +ifdef C_COMPILER + CC := $(C_COMPILER) +else + CC := gcc +endif + +# Define the command-line options when compiling C files: +CFLAGS ?= \ + -std=c99 \ + -O3 \ + -Wall \ + -pedantic + +# Determine whether to generate position independent code ([1][1], [2][2]). +# +# [1]: https://gcc.gnu.org/onlinedocs/gcc/Code-Gen-Options.html#Code-Gen-Options +# [2]: http://stackoverflow.com/questions/5311515/gcc-fpic-option +ifeq ($(OS), WINNT) + fPIC ?= +else + fPIC ?= -fPIC +endif + +# List of includes (e.g., `-I /foo/bar -I /beep/boop/include`): +INCLUDE ?= + +# List of source files: +SOURCE_FILES ?= + +# List of libraries (e.g., `-lopenblas -lpthread`): +LIBRARIES ?= + +# List of library paths (e.g., `-L /foo/bar -L /beep/boop`): +LIBPATH ?= + +# List of C targets: +c_targets := example.out + + +# RULES # + +#/ +# Compiles source files. +# +# @param {string} [C_COMPILER] - C compiler (e.g., `gcc`) +# @param {string} [CFLAGS] - C compiler options +# @param {(string|void)} [fPIC] - compiler flag determining whether to generate position independent code (e.g., `-fPIC`) +# @param {string} [INCLUDE] - list of includes (e.g., `-I /foo/bar -I /beep/boop/include`) +# @param {string} [SOURCE_FILES] - list of source files +# @param {string} [LIBPATH] - list of library paths (e.g., `-L /foo/bar -L /beep/boop`) +# @param {string} [LIBRARIES] - list of libraries (e.g., `-lopenblas -lpthread`) +# +# @example +# make +# +# @example +# make all +#/ +all: $(c_targets) + +.PHONY: all + +#/ +# Compiles C source files. +# +# @private +# @param {string} CC - C compiler (e.g., `gcc`) +# @param {string} CFLAGS - C compiler options +# @param {(string|void)} fPIC - compiler flag determining whether to generate position independent code (e.g., `-fPIC`) +# @param {string} INCLUDE - list of includes (e.g., `-I /foo/bar`) +# @param {string} SOURCE_FILES - list of source files +# @param {string} LIBPATH - list of library paths (e.g., `-L /foo/bar`) +# @param {string} LIBRARIES - list of libraries (e.g., `-lopenblas`) +#/ +$(c_targets): %.out: %.c + $(QUIET) $(CC) $(CFLAGS) $(fPIC) $(INCLUDE) -o $@ $(SOURCE_FILES) $< $(LIBPATH) -lm $(LIBRARIES) + +#/ +# Runs compiled examples. +# +# @example +# make run +#/ +run: $(c_targets) + $(QUIET) ./$< + +.PHONY: run + +#/ +# Removes generated files. +# +# @example +# make clean +#/ +clean: + $(QUIET) -rm -f *.o *.out + +.PHONY: clean diff --git a/lib/node_modules/@stdlib/math/base/special/fast/pow-int/examples/c/example.c b/lib/node_modules/@stdlib/math/base/special/fast/pow-int/examples/c/example.c new file mode 100644 index 000000000000..557692bc9ff1 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/fast/pow-int/examples/c/example.c @@ -0,0 +1,32 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2024 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +#include "stdlib/math/base/special/fast/pow.h" +#include + +int main( void ) { + const double x[] = { 3.14, 2.0, 2.0, 0.0 }; + const int32_t y[] = { 0, 3, -2, 0 }; + + double z; + int i; + for ( i = 0; i < 4; i++ ) { + z = stdlib_base_fast_pow( x[ i ], y[ i ] ); + printf( "pow( %lf, %d ) = %lf\n", x[ i ], y[ i ], z ); + } +} diff --git a/lib/node_modules/@stdlib/math/base/special/fast/pow-int/include.gypi b/lib/node_modules/@stdlib/math/base/special/fast/pow-int/include.gypi new file mode 100644 index 000000000000..575cb043c0bf --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/fast/pow-int/include.gypi @@ -0,0 +1,53 @@ +# @license Apache-2.0 +# +# Copyright (c) 2024 The Stdlib Authors. +# +# Licensed under the Apache License, Version 2.0 (the "License"); +# you may not use this file except in compliance with the License. +# You may obtain a copy of the License at +# +# http://www.apache.org/licenses/LICENSE-2.0 +# +# Unless required by applicable law or agreed to in writing, software +# distributed under the License is distributed on an "AS IS" BASIS, +# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +# See the License for the specific language governing permissions and +# limitations under the License. + +# A GYP include file for building a Node.js native add-on. +# +# Main documentation: +# +# [1]: https://gyp.gsrc.io/docs/InputFormatReference.md +# [2]: https://gyp.gsrc.io/docs/UserDocumentation.md +{ + # Define variables to be used throughout the configuration for all targets: + 'variables': { + # Source directory: + 'src_dir': './src', + + # Include directories: + 'include_dirs': [ + ' + +/* +* If C++, prevent name mangling so that the compiler emits a binary file having undecorated names, thus mirroring the behavior of a C compiler. +*/ +#ifdef __cplusplus +extern "C" { +#endif + +/** +* Evaluates the exponential function. +*/ +double stdlib_base_fast_pow( const double x, const int32_t y ); + +#ifdef __cplusplus +} +#endif + +#endif // !STDLIB_MATH_BASE_SPECIAL_FAST_POW_H diff --git a/lib/node_modules/@stdlib/math/base/special/fast/pow-int/lib/native.js b/lib/node_modules/@stdlib/math/base/special/fast/pow-int/lib/native.js new file mode 100644 index 000000000000..ee8169dcaaa3 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/fast/pow-int/lib/native.js @@ -0,0 +1,66 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2024 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +'use strict'; + +// MODULES // + +var addon = require( './../src/addon.node' ); + + +// MAIN // + +/** +* Evaluates the exponential function. +* +* @param {number} x - base +* @param {integer32} y - exponent +* @returns {number} function value +* +* @example +* var v = pow( 2.0, 3 ); +* // returns 8.0 +* +* @example +* var v = pow( 3.14, 0 ); +* // returns 1.0 +* +* @example +* var v = pow( 2.0, -2 ); +* // returns 0.25 +* +* @example +* var v = pow( 0.0, 0 ); +* // returns 1.0 +* +* @example +* var v = pow( -3.14, 1 ); +* // returns -3.14 +* +* @example +* var v = pow( NaN, 0 ); +* // returns NaN +*/ +function pow( x, y ) { + return addon( x, y ); +} + + +// EXPORTS // + +module.exports = pow; diff --git a/lib/node_modules/@stdlib/math/base/special/fast/pow-int/manifest.json b/lib/node_modules/@stdlib/math/base/special/fast/pow-int/manifest.json new file mode 100644 index 000000000000..880ad9c327f1 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/fast/pow-int/manifest.json @@ -0,0 +1,81 @@ +{ + "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/binary", + "@stdlib/math/base/assert/is-nan", + "@stdlib/constants/float64/pinf" + ] + }, + { + "task": "benchmark", + "src": [ + "./src/main.c" + ], + "include": [ + "./include" + ], + "libraries": [ + "-lm" + ], + "libpath": [], + "dependencies": [ + "@stdlib/math/base/assert/is-nan", + "@stdlib/constants/float64/pinf" + ] + }, + { + "task": "examples", + "src": [ + "./src/main.c" + ], + "include": [ + "./include" + ], + "libraries": [ + "-lm" + ], + "libpath": [], + "dependencies": [ + "@stdlib/math/base/assert/is-nan", + "@stdlib/constants/float64/pinf" + ] + } + ] +} diff --git a/lib/node_modules/@stdlib/math/base/special/fast/pow-int/src/Makefile b/lib/node_modules/@stdlib/math/base/special/fast/pow-int/src/Makefile new file mode 100644 index 000000000000..bcf18aa46655 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/fast/pow-int/src/Makefile @@ -0,0 +1,70 @@ +#/ +# @license Apache-2.0 +# +# Copyright (c) 2024 The Stdlib Authors. +# +# Licensed under the Apache License, Version 2.0 (the "License"); +# you may not use this file except in compliance with the License. +# You may obtain a copy of the License at +# +# http://www.apache.org/licenses/LICENSE-2.0 +# +# Unless required by applicable law or agreed to in writing, software +# distributed under the License is distributed on an "AS IS" BASIS, +# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +# See the License for the specific language governing permissions and +# limitations under the License. +#/ + +# VARIABLES # + +ifndef VERBOSE + QUIET := @ +else + QUIET := +endif + +# Determine the OS ([1][1], [2][2]). +# +# [1]: https://en.wikipedia.org/wiki/Uname#Examples +# [2]: http://stackoverflow.com/a/27776822/2225624 +OS ?= $(shell uname) +ifneq (, $(findstring MINGW,$(OS))) + OS := WINNT +else +ifneq (, $(findstring MSYS,$(OS))) + OS := WINNT +else +ifneq (, $(findstring CYGWIN,$(OS))) + OS := WINNT +else +ifneq (, $(findstring Windows_NT,$(OS))) + OS := WINNT +endif +endif +endif +endif + + +# RULES # + +#/ +# Removes generated files for building an add-on. +# +# @example +# make clean-addon +#/ +clean-addon: + $(QUIET) -rm -f *.o *.node + +.PHONY: clean-addon + +#/ +# Removes generated files. +# +# @example +# make clean +#/ +clean: clean-addon + +.PHONY: clean diff --git a/lib/node_modules/@stdlib/math/base/special/fast/pow-int/src/addon.c b/lib/node_modules/@stdlib/math/base/special/fast/pow-int/src/addon.c new file mode 100644 index 000000000000..33b7bcc581f9 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/fast/pow-int/src/addon.c @@ -0,0 +1,22 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2024 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +#include "stdlib/math/base/special/fast/pow.h" +#include "stdlib/math/base/napi/binary.h" + +STDLIB_MATH_BASE_NAPI_MODULE_DI_D( stdlib_base_fast_pow ) diff --git a/lib/node_modules/@stdlib/math/base/special/fast/pow-int/src/main.c b/lib/node_modules/@stdlib/math/base/special/fast/pow-int/src/main.c new file mode 100644 index 000000000000..87d673f82789 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/fast/pow-int/src/main.c @@ -0,0 +1,71 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2024 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +#include "stdlib/math/base/special/fast/pow.h" +#include "stdlib/math/base/assert/is_nan.h" +#include "stdlib/constants/float64/pinf.h" + +int32_t ONE = 1; +int32_t ZERO = 0; + +/** +* Evaluates the exponential function. +* +* @param x base +* @param y exponent +* @return function value +* +* @example +* double y = stdlib_base_fast_pow( 2.0, 3 ); +* // returns 8.0 +*/ +double stdlib_base_fast_pow( const double x, const int32_t y ) { + int32_t yc; + double xc; + double v; + + xc = x; + yc = y; + if ( stdlib_base_is_nan( xc ) ) { + return 0.0 / 0.0; // NaN + } + if ( yc < ZERO ) { + yc = -yc; + if ( xc == 0.0 ) { + xc = 1.0 / xc; + if ( ( yc & ONE ) == ONE ) { + return xc; + } + return STDLIB_CONSTANT_FLOAT64_PINF; + } + xc = 1.0 / xc; + } + else if ( yc == ZERO ) { + return 1.0; + } + v = 1.0; + while ( yc != ZERO ) { + if ( ( yc & ONE ) == ONE ) { + v *= xc; + } + xc *= xc; + yc >>= ONE; + } + return v; +} + diff --git a/lib/node_modules/@stdlib/math/base/special/fast/pow-int/test/test.native.js b/lib/node_modules/@stdlib/math/base/special/fast/pow-int/test/test.native.js new file mode 100644 index 000000000000..96602893adf3 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/fast/pow-int/test/test.native.js @@ -0,0 +1,322 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2024 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +'use strict'; + +// MODULES // + +var resolve = require( 'path' ).resolve; +var tape = require( 'tape' ); +var abs = require( '@stdlib/math/base/special/abs' ); +var randu = require( '@stdlib/random/base/randu' ); +var round = require( '@stdlib/math/base/special/round' ); +var PINF = require( '@stdlib/constants/float64/pinf' ); +var NINF = require( '@stdlib/constants/float64/ninf' ); +var EPS = require( '@stdlib/constants/float64/eps' ); +var isnan = require( '@stdlib/math/base/assert/is-nan' ); +var isPositiveZero = require( '@stdlib/math/base/assert/is-positive-zero' ); +var isNegativeZero = require( '@stdlib/math/base/assert/is-negative-zero' ); +var tryRequire = require( '@stdlib/utils/try-require' ); + + +// VARIABLES // + +var pow = tryRequire( resolve( __dirname, './../lib/native.js' ) ); +var opts = { + 'skip': ( pow instanceof Error ) +}; + + +// FIXTURES // + +var decimalInteger = require( './fixtures/julia/decimal_integer.json' ); +var integerInteger = require( './fixtures/julia/integer_integer.json' ); +var multiplesOfTen = require( './fixtures/julia/multiples_of_ten.json' ); + + +// TESTS // + +tape( 'main export is a function', opts, function test( t ) { + t.ok( true, __filename ); + t.strictEqual( typeof pow, 'function', 'main export is a function' ); + t.end(); +}); + +tape( 'the function accepts two parameters: a base and an exponent', opts, function test( t ) { + t.strictEqual( pow.length, 2, 'arity is 2' ); + t.end(); +}); + +tape( 'the function evaluates the exponential function (decimal `x`, integer `y`)', opts, function test( t ) { + var expected; + var actual; + var delta; + var tol; + var x; + var y; + var i; + + x = decimalInteger.x; + y = decimalInteger.y; + expected = decimalInteger.expected; + for ( i = 0; i < x.length; i++ ) { + actual = pow( x[i], y[i] ); + if ( actual === expected[ i ] ) { + t.strictEqual( actual, expected[i], 'pow('+x[i]+','+y[i]+') returns '+expected[i] ); + } else { + delta = abs( actual - expected[i] ); + tol = 70.0 * EPS * abs( expected[i] ); + t.strictEqual( delta <= tol, true, 'x: '+x[i]+'. y: '+y[i]+'. v: '+actual+'. expected: '+expected[i]+'. delta: '+delta+'. tol: '+tol+'.' ); + } + } + t.end(); +}); + +tape( 'the function evaluates the exponential function (integer `x`, integer `y`)', opts, function test( t ) { + var expected; + var actual; + var delta; + var tol; + var x; + var y; + var i; + + x = integerInteger.x; + y = integerInteger.y; + expected = integerInteger.expected; + for ( i = 0; i < x.length; i++ ) { + actual = pow( x[i], y[i] ); + if ( expected[ i ] === null ) { + // Expected value is infinity: + t.strictEqual( actual, PINF, 'pow('+x[i]+','+y[i]+') returns +infinity' ); + } + else if ( actual === expected[ i ] ) { + t.strictEqual( actual, expected[i], 'pow('+x[i]+','+y[i]+') returns '+expected[i] ); + } + else { + delta = abs( actual - expected[i] ); + tol = 61.0 * EPS * abs( expected[i] ); + t.strictEqual( delta <= tol, true, 'x: '+x[i]+'. y: '+y[i]+'. v: '+actual+'. expected: '+expected[i]+'. delta: '+delta+'. tol: '+tol+'.' ); + } + } + t.end(); +}); + +tape( 'the function evaluates the exponential function (multiples of ten)', opts, function test( t ) { + var expected; + var actual; + var delta; + var tol; + var x; + var y; + var i; + + x = multiplesOfTen.x; + y = multiplesOfTen.y; + expected = multiplesOfTen.expected; + for ( i = 0; i < x.length; i++ ) { + actual = pow( x[i], y[i] ); + if ( actual === expected[ i ] ) { + t.strictEqual( actual, expected[i], 'pow('+x[i]+','+y[i]+') returns '+expected[i] ); + } else { + delta = abs( actual - expected[i] ); + tol = 3.75 * EPS * abs( expected[i] ); + t.strictEqual( delta <= tol, true, 'x: '+x[i]+'. y: '+y[i]+'. v: '+actual+'. expected: '+expected[i]+'. delta: '+delta+'. tol: '+tol+'.' ); + } + } + t.end(); +}); + +tape( 'the function returns `NaN` if provided `NaN` for the base', opts, function test( t ) { + var v; + + v = pow( NaN, 5 ); + t.strictEqual( isnan( v ), true, 'returns NaN' ); + + v = pow( NaN, 1 ); + t.strictEqual( isnan( v ), true, 'returns NaN' ); + + v = pow( NaN, 0 ); + t.strictEqual( isnan( v ), true, 'returns NaN' ); + + t.end(); +}); + +tape( 'any number raised to the zero power is `1`', opts, function test( t ) { + var x; + var v; + var i; + for ( i = 0; i < 100; i++ ) { + x = ( randu() * 1.0e6 ) - 5.0e5; + v = pow( x, 0 ); + t.strictEqual( v, 1.0, 'pow('+x+',0.0) returns 1' ); + } + t.strictEqual( pow( PINF, 0 ), 1.0, 'inf^0 = 1' ); + t.strictEqual( pow( NINF, 0 ), 1.0, '(-inf)^0 = 1' ); + t.strictEqual( pow( 0.0, 0 ), 1.0, '0^0 = 1' ); + t.end(); +}); + +tape( 'any number raised to the `-1` power is the reciprocal of that number', opts, function test( t ) { + var x; + var v; + var i; + for ( i = 0; i < 100; i++ ) { + x = ( randu() * 1.0e6 ) - 5.0e5; + v = pow( x, -1 ); + t.strictEqual( v, 1 / x, 'pow('+x+',0.0) returns '+( 1 / x ) ); + } + t.strictEqual( isPositiveZero( pow( PINF, -1 ) ), true, 'inf^-1 = 0' ); + t.strictEqual( isNegativeZero( pow( NINF, -1 ) ), true, '(-inf)^0 = -0' ); + t.strictEqual( pow( 0.0, -1 ), PINF, '0^-1 = +infinity' ); + t.strictEqual( pow( -0.0, -1 ), NINF, '(-0)^-1 = -infinity' ); + t.end(); +}); + +tape( 'unity raised to any power is `1`', opts, function test( t ) { + var y; + var v; + var i; + for ( i = 0; i < 100; i++ ) { + y = ( randu() * 1.0e6 ) - 5.0e5; + v = pow( 1.0, y ); + t.strictEqual( v, 1.0, 'pow(1.0,'+y+') returns 1' ); + } + t.strictEqual( pow( 1.0, 0 ), 1.0, '1^0 = 1' ); + t.end(); +}); + +tape( '`-1` raised to any odd integer is `-1`', opts, function test( t ) { + var v; + var i; + for ( i = -51; i < 53; i += 2 ) { + v = pow( -1.0, i ); + t.strictEqual( v, -1.0, 'pow(1.0,'+i+') returns -1' ); + } + t.end(); +}); + +tape( '`+-0` raised to a positive even integer is `0`', opts, function test( t ) { + var y; + var i; + var v; + + for ( i = 0; i < 100; i++ ) { + y = ( i + 1 ) * 2; + v = pow( +0.0, y ); + t.strictEqual( isPositiveZero( v ), true, 'pow(0,'+y+') returns +0' ); + + v = pow( -0.0, y); + t.strictEqual( isPositiveZero( v ), true, 'pow(-0,'+y+') returns +0' ); + } + t.end(); +}); + +tape( '`+-0` raised to a positive odd integer is `+-0`', opts, function test( t ) { + var i; + var v; + + for ( i = 1; i < 101; i += 2 ) { + v = pow( +0.0, i ); + t.strictEqual( isPositiveZero( v ), true, 'pow(0,'+i+') returns +0' ); + + v = pow( -0.0, i ); + t.strictEqual( isNegativeZero( v ), true, 'pow(-0,'+i+') returns -0' ); + } + t.end(); +}); + +tape( '`+-0` raised to a negative even integer is `+infinity`', opts, function test( t ) { + var y; + var i; + var v; + + for ( i = 0; i < 100; i++ ) { + y = -( i + 1 ) * 2; + v = pow( +0.0, y ); + t.strictEqual( v, PINF, 'pow(0,'+y+') returns +infinity' ); + + v = pow( -0.0, y ); + t.strictEqual( v, PINF, 'pow(-0,'+y+') returns +infinity' ); + } + t.end(); +}); + +tape( '`+-0` raised to a negative odd integer is `+-infinity`', opts, function test( t ) { + var i; + var v; + + for ( i = -101; i < 0; i += 2 ) { + v = pow( +0.0, i ); + t.strictEqual( v, PINF, 'pow(0,'+i+') returns +infinity' ); + + v = pow( -0.0, i ); + t.strictEqual( v, NINF, 'pow(-0,'+i+') returns -infinity' ); + } + t.end(); +}); + +tape( 'the function returns `(-0)^y` if `-infinity` is raised to a `y` power', opts, function test( t ) { + var y; + var v; + var i; + + for ( i = 0; i < 100; i++ ) { + y = round( randu() * 100.0 ); + v = pow( NINF, y ); + t.strictEqual( v, pow( -0.0, -y ), 'pow(-infinity,'+y+') returns pow(-0,-'+y+')' ); + } + + v = pow( NINF, 5 ); + t.strictEqual( v, pow( -0.0, -5 ), 'pow(-infinity,5) returns pow(-0,-5)' ); + + v = pow( NINF, 2 ); + t.strictEqual( v, pow( -0.0, -2 ), 'pow(-infinity,2) returns pow(-0,-2)' ); + + v = pow( NINF, -5 ); + t.strictEqual( v, pow( -0.0, 5 ), 'pow(-infinity,-5) returns pow(-0,5)' ); + + v = pow( NINF, -2 ); + t.strictEqual( v, pow( -0.0, 2 ), 'pow(-infinity,-2) returns pow(-0,2)' ); + + t.end(); +}); + +tape( 'the function returns `0` if `+infinity` is raised to any negative finite integer', opts, function test( t ) { + var y; + var v; + var i; + for ( i = 0; i < 100; i++ ) { + y = -round( randu() * 1.0e5 ) - 1; + v = pow( PINF, y ); + t.strictEqual( isPositiveZero( v ), true, 'returns 0' ); + } + t.end(); +}); + +tape( 'the function returns `+infinity` if `+infinity` is raised to any positive finite integer', opts, function test( t ) { + var y; + var v; + var i; + for ( i = 0; i < 100; i++ ) { + y = round( randu() * 1.0e5 ) + 1; + v = pow( PINF, y ); + t.strictEqual( v, PINF, 'returns +infinity' ); + } + t.end(); +});