diff --git a/lib/node_modules/@stdlib/math/base/special/bernoulli/README.md b/lib/node_modules/@stdlib/math/base/special/bernoulli/README.md index e747d3b7cb3c..d1d53aff7385 100644 --- a/lib/node_modules/@stdlib/math/base/special/bernoulli/README.md +++ b/lib/node_modules/@stdlib/math/base/special/bernoulli/README.md @@ -123,6 +123,94 @@ for ( i = 0; i < 280; i++ ) { + + +* * * + +
+ +## C APIs + + + +
+ +
+ + + + + +
+ +### Usage + +```c +#include "stdlib/math/base/special/bernoulli.h" +``` + +#### stdlib_base_bernoulli( n ) + +Computes the nth [Bernoulli number][bernoulli-number]. + +```c +double out = stdlib_base_bernoulli( 0 ); +// returns 1.0 + +out = stdlib_base_bernoulli( 1 ); +// returns 0.0 +``` + +The function accepts the following arguments: + +- **n**: `[in] int32_t` input value. + +```c +double stdlib_base_bernoulli( const int32_t n ); +``` + +
+ + + + + +
+ +
+ + + + + +
+ +### Examples + +```c +#include "stdlib/math/base/special/bernoulli.h" +#include +#include + +int main( void ) { + int32_t i; + double v; + + for ( i = 0; i < 130; i++ ) { + v = stdlib_base_bernoulli( i ); + printf( "bernoulli(%d) = %lf\n", i, v ); + } +} +``` + +
+ + + +
+ + +
diff --git a/lib/node_modules/@stdlib/math/base/special/bernoulli/benchmark/benchmark.native.js b/lib/node_modules/@stdlib/math/base/special/bernoulli/benchmark/benchmark.native.js new file mode 100644 index 000000000000..c66f8ed43603 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/bernoulli/benchmark/benchmark.native.js @@ -0,0 +1,61 @@ +/** +* @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 floor = require( '@stdlib/math/base/special/floor' ); +var isnan = require( '@stdlib/math/base/assert/is-nan' ); +var tryRequire = require( '@stdlib/utils/try-require' ); +var pkg = require( './../package.json' ).name; + + +// VARIABLES // + +var bernoulli = tryRequire( resolve( __dirname, './../lib/native.js' ) ); +var opts = { + 'skip': ( bernoulli instanceof Error ) +}; + + +// MAIN // + +bench( pkg+'::native', opts, function benchmark( b ) { + var x; + var y; + var i; + + b.tic(); + for ( i = 0; i < b.iterations; i++ ) { + x = floor( randu() * 500.0 ); + y = bernoulli( x ); + if ( isnan( y ) ) { + b.fail( 'should not return NaN' ); + } + } + b.toc(); + if ( isnan( y ) ) { + b.fail( 'should not return NaN' ); + } + b.pass( 'benchmark finished' ); + b.end(); +}); diff --git a/lib/node_modules/@stdlib/math/base/special/bernoulli/benchmark/c/native/Makefile b/lib/node_modules/@stdlib/math/base/special/bernoulli/benchmark/c/native/Makefile new file mode 100644 index 000000000000..f69e9da2b4d3 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/bernoulli/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/bernoulli/benchmark/c/native/benchmark.c b/lib/node_modules/@stdlib/math/base/special/bernoulli/benchmark/c/native/benchmark.c new file mode 100644 index 000000000000..f9fa03950418 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/bernoulli/benchmark/c/native/benchmark.c @@ -0,0 +1,136 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2024 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +/** +* Benchmark `bernoulli`. +*/ +#include "stdlib/math/base/special/bernoulli.h" +#include +#include +#include +#include +#include + +#define NAME "bernoulli" +#define ITERATIONS 1000000 +#define REPEATS 3 + +/** +* Prints the TAP version. +*/ +void print_version() { + printf( "TAP version 13\n" ); +} + +/** +* Prints the TAP summary. +* +* @param total total number of tests +* @param passing total number of passing tests +*/ +void print_summary( int total, int passing ) { + printf( "#\n" ); + printf( "1..%d\n", total ); // TAP plan + printf( "# total %d\n", total ); + printf( "# pass %d\n", passing ); + printf( "#\n" ); + printf( "# ok\n" ); +} + +/** +* Prints benchmarks results. +* +* @param elapsed elapsed time in seconds +*/ +void print_results( double elapsed ) { + double rate = (double)ITERATIONS / elapsed; + printf( " ---\n" ); + printf( " iterations: %d\n", ITERATIONS ); + printf( " elapsed: %0.9f\n", elapsed ); + printf( " rate: %0.9f\n", rate ); + printf( " ...\n" ); +} + +/** +* Returns a clock time. +* +* @return clock time +*/ +double tic() { + struct timeval now; + gettimeofday( &now, NULL ); + return (double)now.tv_sec + (double)now.tv_usec/1.0e6; +} + +/** +* Generates a random number on the interval [0,1]. +* +* @return random number +*/ +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; + double x; + double y; + double t; + int i; + + t = tic(); + for ( i = 0; i < ITERATIONS; i++ ) { + x = ( 500.0 * rand_double() ); + y = stdlib_base_bernoulli( x ); + if ( y != y ) { + printf( "should not return NaN\n" ); + break; + } + } + elapsed = tic() - t; + if ( y != y ) { + printf( "should not return NaN\n" ); + } + return elapsed; +} + +/** +* Main execution sequence. +*/ +int main( void ) { + double elapsed; + int i; + + // Use the current time to seed the random number generator: + srand( time( NULL ) ); + + print_version(); + for ( i = 0; i < REPEATS; i++ ) { + printf( "# c::native::%s\n", NAME ); + elapsed = benchmark(); + print_results( elapsed ); + printf( "ok %d benchmark finished\n", i+1 ); + } + print_summary( REPEATS, REPEATS ); +} diff --git a/lib/node_modules/@stdlib/math/base/special/bernoulli/binding.gyp b/lib/node_modules/@stdlib/math/base/special/bernoulli/binding.gyp new file mode 100644 index 000000000000..ec3992233442 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/bernoulli/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/bernoulli/examples/c/Makefile b/lib/node_modules/@stdlib/math/base/special/bernoulli/examples/c/Makefile new file mode 100644 index 000000000000..6aed70daf167 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/bernoulli/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/bernoulli/examples/c/example.c b/lib/node_modules/@stdlib/math/base/special/bernoulli/examples/c/example.c new file mode 100644 index 000000000000..c07123fe683e --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/bernoulli/examples/c/example.c @@ -0,0 +1,30 @@ +/** +* @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/bernoulli.h" +#include + +int main( void ) { + int32_t i; + double v; + + for ( i = 0; i < 130; i++ ) { + v = stdlib_base_bernoulli( i ); + printf( "bernoulli(%d) = %lf\n", i, v ); + } +} diff --git a/lib/node_modules/@stdlib/math/base/special/bernoulli/include.gypi b/lib/node_modules/@stdlib/math/base/special/bernoulli/include.gypi new file mode 100644 index 000000000000..575cb043c0bf --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/bernoulli/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 + +/** +* Computes the nth Bernoulli number. +*/ +double stdlib_base_bernoulli( const int32_t n ); + +#ifdef __cplusplus +} +#endif + +#endif // !STDLIB_MATH_BASE_SPECIAL_BERNOULLI_H diff --git a/lib/node_modules/@stdlib/math/base/special/bernoulli/lib/native.js b/lib/node_modules/@stdlib/math/base/special/bernoulli/lib/native.js new file mode 100644 index 000000000000..08d220eb750a --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/bernoulli/lib/native.js @@ -0,0 +1,77 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2024 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +'use strict'; + +// MODULES // + +var addon = require( './../src/addon.node' ); + + +// MAIN // + +/** +* Computes the nth Bernoulli number. +* +* @param {NonNegativeInteger} n - the Bernoulli number to compute +* @returns {number} Bernoulli number +* +* @example +* var y = bernoulli( 0 ); +* // returns 1.0 +* +* @example +* var y = bernoulli( 1 ); +* // returns 0.0 +* +* @example +* var y = bernoulli( 2 ); +* // returns ~0.167 +* +* @example +* var y = bernoulli( 3 ); +* // returns 0.0 +* +* @example +* var y = bernoulli( 4 ); +* // returns ~-0.033 +* +* @example +* var y = bernoulli( 5 ); +* // returns 0.0 +* +* @example +* var y = bernoulli( 20 ); +* // returns ~-529.124 +* +* @example +* var y = bernoulli( 260 ); +* // returns -Infinity +* +* @example +* var y = bernoulli( 262 ); +* // returns Infinity +*/ +function bernoulli( n ) { + return addon( n ); +} + + +// EXPORTS // + +module.exports = bernoulli; diff --git a/lib/node_modules/@stdlib/math/base/special/bernoulli/manifest.json b/lib/node_modules/@stdlib/math/base/special/bernoulli/manifest.json new file mode 100644 index 000000000000..0c12d1f3c766 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/bernoulli/manifest.json @@ -0,0 +1,84 @@ +{ + "options": { + "task": "build" + }, + "fields": [ + { + "field": "src", + "resolve": true, + "relative": true + }, + { + "field": "include", + "resolve": true, + "relative": true + }, + { + "field": "libraries", + "resolve": false, + "relative": false + }, + { + "field": "libpath", + "resolve": true, + "relative": false + } + ], + "confs": [ + { + "task": "build", + "src": [ + "./src/main.c" + ], + "include": [ + "./include" + ], + "libraries": [], + "libpath": [], + "dependencies": [ + "@stdlib/math/base/napi/unary", + "@stdlib/math/base/assert/is-nonnegative-integer", + "@stdlib/math/base/assert/is-nan", + "@stdlib/math/base/assert/is-odd", + "@stdlib/constants/float64/ninf", + "@stdlib/constants/float64/pinf" + ] + }, + { + "task": "benchmark", + "src": [ + "./src/main.c" + ], + "include": [ + "./include" + ], + "libraries": [], + "libpath": [], + "dependencies": [ + "@stdlib/math/base/assert/is-nonnegative-integer", + "@stdlib/math/base/assert/is-nan", + "@stdlib/math/base/assert/is-odd", + "@stdlib/constants/float64/ninf", + "@stdlib/constants/float64/pinf" + ] + }, + { + "task": "examples", + "src": [ + "./src/main.c" + ], + "include": [ + "./include" + ], + "libraries": [], + "libpath": [], + "dependencies": [ + "@stdlib/math/base/assert/is-nonnegative-integer", + "@stdlib/math/base/assert/is-nan", + "@stdlib/math/base/assert/is-odd", + "@stdlib/constants/float64/ninf", + "@stdlib/constants/float64/pinf" + ] + } + ] +} diff --git a/lib/node_modules/@stdlib/math/base/special/bernoulli/src/Makefile b/lib/node_modules/@stdlib/math/base/special/bernoulli/src/Makefile new file mode 100644 index 000000000000..bcf18aa46655 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/bernoulli/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/bernoulli/src/addon.c b/lib/node_modules/@stdlib/math/base/special/bernoulli/src/addon.c new file mode 100644 index 000000000000..2f32b932ffe2 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/bernoulli/src/addon.c @@ -0,0 +1,23 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2024 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +#include "stdlib/math/base/special/bernoulli.h" +#include "stdlib/math/base/napi/unary.h" + +// cppcheck-suppress shadowFunction +STDLIB_MATH_BASE_NAPI_MODULE_I_D( stdlib_base_bernoulli ) diff --git a/lib/node_modules/@stdlib/math/base/special/bernoulli/src/main.c b/lib/node_modules/@stdlib/math/base/special/bernoulli/src/main.c new file mode 100644 index 000000000000..22e851dcc9ee --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/bernoulli/src/main.c @@ -0,0 +1,183 @@ +/** +* @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/assert/is_nonnegative_integer.h" +#include "stdlib/math/base/assert/is_nan.h" +#include "stdlib/math/base/assert/is_odd.h" +#include "stdlib/constants/float64/ninf.h" +#include "stdlib/constants/float64/pinf.h" +#include "stdlib/math/base/special/bernoulli.h" + +static const double bernoulli_value[ 130 ] = { + 1.00000000000000000000000000000000000000000, + 0.166666666666666666666666666666666666666667, + -0.0333333333333333333333333333333333333333333, + 0.0238095238095238095238095238095238095238095, + -0.0333333333333333333333333333333333333333333, + 0.0757575757575757575757575757575757575757576, + -0.253113553113553113553113553113553113553114, + 1.16666666666666666666666666666666666666667, + -7.09215686274509803921568627450980392156863, + 54.9711779448621553884711779448621553884712, + -529.124242424242424242424242424242424242424, + 6192.12318840579710144927536231884057971014, + -86580.2531135531135531135531135531135531136, + 1.42551716666666666666666666666666666666667e6, + -2.72982310678160919540229885057471264367816e7, + 6.01580873900642368384303868174835916771401e8, + -1.51163157670921568627450980392156862745098e10, + 4.29614643061166666666666666666666666666667e11, + -1.37116552050883327721590879485616327721591e13, + 4.88332318973593166666666666666666666666667e14, + -1.92965793419400681486326681448632668144863e16, + 8.41693047573682615000553709856035437430786e17, + -4.03380718540594554130768115942028985507246e19, + 2.11507486380819916056014539007092198581560e21, + -1.20866265222965259346027311937082525317819e23, + 7.50086674607696436685572007575757575757576e24, + -5.03877810148106891413789303052201257861635e26, + 3.65287764848181233351104308429711779448622e28, + -2.84987693024508822262691464329106781609195e30, + 2.38654274996836276446459819192192149717514e32, + -2.13999492572253336658107447651910973926742e34, + 2.05009757234780975699217330956723102516667e36, + -2.09380059113463784090951852900279701847092e38, + 2.27526964884635155596492603527692645814700e40, + -2.62577102862395760473030497361582020814490e42, + 3.21250821027180325182047923042649852435219e44, + -4.15982781667947109139170744952623589366896e46, + 5.69206954820352800238834562191210586444805e48, + -8.21836294197845756922906534686173330145509e50, + 1.25029043271669930167323398297028955241772e53, + -2.00155832332483702749253291988132987687242e55, + 3.36749829153643742333966769033387530162196e57, + -5.94709705031354477186604968440515408405791e59, + 1.10119103236279775595641307904376916046305e62, + -2.13552595452535011886583850190410656789733e64, + 4.33288969866411924196166130593792062184514e66, + -9.18855282416693282262005552155018971389604e68, + 2.03468967763290744934550279902200200659751e71, + -4.70038339580357310785752555350060606545967e73, + 1.13180434454842492706751862577339342678904e76, + -2.83822495706937069592641563364817647382847e78, + 7.40642489796788506297508271409209841768797e80, + -2.00964548027566044834656196727153631868673e83, + 5.66571700508059414457193460305193569614195e85, + -1.65845111541362169158237133743199123014950e88, + 5.03688599504923774192894219151801548124424e90, + -1.58614682376581863693634015729664387827410e93, + 5.17567436175456269840732406825071225612408e95, + -1.74889218402171173396900258776181591451415e98, + 6.11605199949521852558245252642641677807677e100, + -2.21227769127078349422883234567129324455732e103, + 8.27227767987709698542210624599845957312047e105, + -3.19589251114157095835916343691808148735263e108, + 1.27500822233877929823100243029266798669572e111, + -5.25009230867741338994028246245651754469199e113, + 2.23018178942416252098692981988387281437383e116, + -9.76845219309552044386335133989802393011669e118, + 4.40983619784529542722726228748131691918758e121, + -2.05085708864640888397293377275830154864566e124, + 9.82144332797912771075729696020975210414919e126, + -4.84126007982088805087891967099634127611305e129, + 2.45530888014809826097834674040886903996737e132, + -1.28069268040847475487825132786017857218118e135, + 6.86761671046685811921018885984644004360924e137, + -3.78464685819691046949789954163795568144895e140, + 2.14261012506652915508713231351482720966602e143, + -1.24567271371836950070196429616376072194583e146, + 7.43457875510001525436796683940520613117807e148, + -4.55357953046417048940633332233212748767721e151, + 2.86121128168588683453638472510172325229190e154, + -1.84377235520338697276882026536287854875414e157, + 1.21811545362210466995013165065995213558174e160, + -8.24821871853141215484818457296893447301419e162, + 5.72258779378329433296516498142978615918685e165, + -4.06685305250591047267679693831158655602196e168, + 2.95960920646420500628752695815851870426379e171, + -2.20495225651894575090311752273445984836379e174, + 1.68125970728895998058311525151360665754464e177, + -1.31167362135569576486452806355817153004431e180, + 1.04678940094780380821832853929823089643829e183, + -8.54328935788337077185982546299082774593270e185, + 7.12878213224865423522884066771438224721245e188, + -6.08029314555358993000847118686477458461988e191, + 5.29967764248499239300942910043247266228490e194, + -4.71942591687458626443646229013379911103761e197, + 4.29284137914029810894168296541074669045521e200, + -3.98767449682322074434477655542938795106651e203, + 3.78197804193588827138944181161393327898220e206, + -3.66142336836811912436858082151197348755196e209, + 3.61760902723728623488554609298914089477541e212, + -3.64707726451913543621383088655499449048682e215, + 3.75087554364544090983452410104814189306842e218, + -3.93458672964390282694891288533713429355657e221, + 4.20882111481900820046571171111494898242731e224, + -4.59022962206179186559802940573325591059371e227, + 5.10317257726295759279198185106496768539760e230, + -5.78227623036569554015377271242917142512200e233, + 6.67624821678358810322637794412809363451080e236, + -7.85353076444504163225916259639312444428230e239, + 9.41068940670587255245443288258762485293948e242, + -1.14849338734651839938498599206805592548354e246, + 1.42729587428487856771416320087122499897180e249, + -1.80595595869093090142285728117654560926719e252, + 2.32615353076608052161297985184708876161736e255, + -3.04957517154995947681942819261542593785327e258, + 4.06858060764339734424012124124937318633684e261, + -5.52310313219743616252320044093186392324280e264, + 7.62772793964343924869949690204961215533859e267, + -1.07155711196978863132793524001065396932667e271, + 1.53102008959691884453440916153355334355847e274, + -2.22448916821798346676602348865048510824835e277, + 3.28626791906901391668189736436895275365183e280, + -4.93559289559603449020711938191575963496999e283, + 7.53495712008325067212266049779283956727824e286, + -1.16914851545841777278088924731655041783900e290, + 1.84352614678389394126646201597702232396492e293, + -2.95368261729680829728014917350525183485207e296, + 4.80793212775015697668878704043264072227967e299, + -7.95021250458852528538243631671158693036798e302, + 1.33527841873546338750122832017820518292039e306 +}; + + +int32_t MAX_BERNOULLI = 258; + +/** +* Computes the nth Bernoulli number. +* +* @param n input value +* @returns output value +* +* @example +* double out = stdlib_base_bernoulli( 0 ); +* // returns 1 +*/ +double stdlib_base_bernoulli( const int32_t n ) { + if ( stdlib_base_is_nan( n ) || !stdlib_base_is_nonnegative_integer( n ) ) { + return 0.0 / 0.0; // NaN + } + if ( stdlib_base_is_odd( n ) ) { + return 0.0; + } + if ( n > MAX_BERNOULLI ) { + return ( ( n / 2 ) & 1 ) ? STDLIB_CONSTANT_FLOAT64_PINF : STDLIB_CONSTANT_FLOAT64_NINF; + } + return bernoulli_value[ n / 2 ]; +} diff --git a/lib/node_modules/@stdlib/math/base/special/bernoulli/test/test.native.js b/lib/node_modules/@stdlib/math/base/special/bernoulli/test/test.native.js new file mode 100644 index 000000000000..8962a1bacb72 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/bernoulli/test/test.native.js @@ -0,0 +1,99 @@ +/** +* @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 isnan = require( '@stdlib/math/base/assert/is-nan' ); +var NINF = require( '@stdlib/constants/float64/ninf' ); +var PINF = require( '@stdlib/constants/float64/pinf' ); +var tryRequire = require( '@stdlib/utils/try-require' ); + + +// VARIABLES // + +var bernoulli = tryRequire( resolve( __dirname, './../lib/native.js' ) ); +var opts = { + 'skip': ( bernoulli instanceof Error ) +}; + + +// FIXTURES // + +var BERNOULLI = require( './../lib/bernoulli.json' ); + + +// TESTS // + +tape( 'main export is a function', opts, function test( t ) { + t.ok( true, __filename ); + t.strictEqual( typeof bernoulli, 'function', 'main export is a function' ); + t.end(); +}); + +tape( 'if provided a negative number, the function returns `NaN`', opts, function test( t ) { + var v; + var i; + + t.strictEqual( isnan( bernoulli( -3.14 ) ), true, 'returns NaN' ); + + for ( i = -1; i > -100; i-- ) { + v = bernoulli( i ); + t.strictEqual( isnan( v ), true, 'returns NaN when provided ' + i ); + } + t.end(); +}); + +tape( 'the function returns the nth Bernoulli number for odd numbers', opts, function test( t ) { + var v; + var i; + for ( i = 1; i < 500; i += 2 ) { + v = bernoulli( i ); + + // Odd Bernoulli numbers are equal to zero: + t.strictEqual( v, 0.0, 'returns the '+i+'th Bernoulli number' ); + } + t.end(); +}); + +tape( 'the function returns the nth Bernoulli number for even numbers', opts, function test( t ) { + var v; + var i; + for ( i = 0; i < 260; i += 2 ) { + v = bernoulli( i ); + t.strictEqual( v, BERNOULLI[ i/2 ], 'returns the '+i+'th Bernoulli number' ); + } + t.end(); +}); + +tape( 'the function returns +/- infinity for large integers', opts, function test( t ) { + var v; + var i; + for ( i = 260; i < 1000; i += 2 ) { + v = bernoulli( i ); + if ( i % 4 === 0 ) { + t.strictEqual( v, NINF, 'returns negative infinity' ); + } else { + t.strictEqual( v, PINF, 'returns positive infinity' ); + } + } + t.end(); +});