diff --git a/lib/node_modules/@stdlib/math/base/special/ldexp/README.md b/lib/node_modules/@stdlib/math/base/special/ldexp/README.md index 208c832d2063..65ff3ade6e2a 100644 --- a/lib/node_modules/@stdlib/math/base/special/ldexp/README.md +++ b/lib/node_modules/@stdlib/math/base/special/ldexp/README.md @@ -2,7 +2,7 @@ @license Apache-2.0 -Copyright (c) 2018 The Stdlib Authors. +Copyright (c) 2022 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. @@ -118,6 +118,98 @@ for ( i = 0; i < 100; i++ ) { + + +* * * + +
+ +## C APIs + + + +
+ +
+ + + + + +
+ +### Usage + +```c +#include "stdlib/math/base/special/ldexp.h" +``` + +#### stdlib_base_ldexp( frac, exp ) + +Multiplies a [double-precision floating-point number][ieee754] by an integer power of two (i.e., `x = frac * 2^exp`). + +```c +double x = stdlib_base_ldexp( 0.5, 3 ); // => 0.5 * 2^3 = 0.5 * 8 +// returns 4.0 +``` + +The function accepts the following arguments: + +- **frac**: `[in] double` input value. +- **exp**: `[in] int32_t` integer power of two. + +```c +double stdlib_base_ldexp( const double frac, const int32_t exp ); +``` + +
+ + + + + +
+ +
+ + + + + +
+ +### Examples + +```c +#include "stdlib/math/base/special/ldexp.h" +#include +#include +#include +#include + +int main() { + double frac; + int32_t exp; + double out; + int i; + + for ( i = 0; i < 100; i++ ) { + frac = (double) rand() / (double) RAND_MAX; + exp = (int32_t) rand() - (int32_t) (RAND_MAX/2); + out = stdlib_base_ldexp( frac, exp ); + printf( "frac: %lf, exp: %" PRId32 ", out: %lf\n", frac, exp, out ); + } +} +``` + +
+ + + +
+ + +
diff --git a/lib/node_modules/@stdlib/math/base/special/ldexp/benchmark/benchmark.native.js b/lib/node_modules/@stdlib/math/base/special/ldexp/benchmark/benchmark.native.js new file mode 100644 index 000000000000..e6e30afbeeea --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/ldexp/benchmark/benchmark.native.js @@ -0,0 +1,63 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2022 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 round = require( '@stdlib/math/base/special/round' ); +var isnan = require( '@stdlib/math/base/assert/is-nan' ); +var tryRequire = require( '@stdlib/utils/try-require' ); +var pkg = require( './../package.json' ).name; + + +// VARIABLES // + +var ldexp = tryRequire( resolve( __dirname, './../lib/native.js' ) ); +var opts = { + 'skip': ( ldexp 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()*20.0 ) - 10.0; + y = round( randu()*2040.0 ) - 1020.0; + z = ldexp( x, y ); + if ( isnan( z ) ) { + b.fail( 'should not return NaN' ); + } + } + b.toc(); + if ( isnan( z ) ) { + b.fail( 'should not return NaN' ); + } + b.pass( 'benchmark finished' ); + b.end(); +}); diff --git a/lib/node_modules/@stdlib/math/base/special/ldexp/benchmark/c/native/Makefile b/lib/node_modules/@stdlib/math/base/special/ldexp/benchmark/c/native/Makefile new file mode 100644 index 000000000000..d6b58c7f5d3e --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/ldexp/benchmark/c/native/Makefile @@ -0,0 +1,146 @@ +#/ +# @license Apache-2.0 +# +# Copyright (c) 2022 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/ldexp/benchmark/c/native/benchmark.c b/lib/node_modules/@stdlib/math/base/special/ldexp/benchmark/c/native/benchmark.c new file mode 100644 index 000000000000..58cde458948f --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/ldexp/benchmark/c/native/benchmark.c @@ -0,0 +1,138 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2022 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 `ldexp`. +*/ +#include "stdlib/math/base/special/ldexp.h" +#include +#include +#include +#include +#include + +#define NAME "ldexp" +#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 z; + double t; + int i; + + t = tic(); + for ( i = 0; i < ITERATIONS; i++ ) { + x = ( rand_double()*20.0 ) - 10.0; + y = ( rand_double()*2048.0 ) - 1024.0; + z = stdlib_base_ldexp( 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/ldexp/binding.gyp b/lib/node_modules/@stdlib/math/base/special/ldexp/binding.gyp new file mode 100644 index 000000000000..1058b57bab16 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/ldexp/binding.gyp @@ -0,0 +1,170 @@ +# @license Apache-2.0 +# +# Copyright (c) 2022 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/ldexp/examples/c/Makefile b/lib/node_modules/@stdlib/math/base/special/ldexp/examples/c/Makefile new file mode 100644 index 000000000000..91d364d19fc3 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/ldexp/examples/c/Makefile @@ -0,0 +1,146 @@ +#/ +# @license Apache-2.0 +# +# Copyright (c) 2022 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/ldexp/examples/c/example.c b/lib/node_modules/@stdlib/math/base/special/ldexp/examples/c/example.c new file mode 100644 index 000000000000..09e4527aefee --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/ldexp/examples/c/example.c @@ -0,0 +1,38 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2022 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/ldexp.h" +#include +#include +#include +#include + +int main() { + double frac; + int32_t exp; + double out; + int i; + + for ( i = 0; i < 100; i++ ) { + frac = (double) rand() / (double) RAND_MAX; + exp = (int32_t) rand() - (int32_t) (RAND_MAX/2); + out = stdlib_base_ldexp( frac, exp ); + printf( "frac: %lf, exp: %" PRId32 ", out: %lf\n", frac, exp, out ); + } +} diff --git a/lib/node_modules/@stdlib/math/base/special/ldexp/include.gypi b/lib/node_modules/@stdlib/math/base/special/ldexp/include.gypi new file mode 100644 index 000000000000..3b437d524797 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/ldexp/include.gypi @@ -0,0 +1,53 @@ +# @license Apache-2.0 +# +# Copyright (c) 2022 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 + +/** +* Multiplies a double-precision floating-point number by an integer power of two (i.e., x = frac * 2^exp). +*/ +double stdlib_base_ldexp( const double frac, const int32_t exp ); + +#ifdef __cplusplus +} +#endif + +#endif // !STDLIB_MATH_BASE_SPECIAL_LDEXP_H diff --git a/lib/node_modules/@stdlib/math/base/special/ldexp/lib/native.js b/lib/node_modules/@stdlib/math/base/special/ldexp/lib/native.js new file mode 100644 index 000000000000..3c05987cda7f --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/ldexp/lib/native.js @@ -0,0 +1,71 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2022 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 // + +/** +* Multiplies a double-precision floating-point number by an integer power of two. +* +* @private +* @param {number} frac - fraction +* @param {integer} exp - exponent +* @returns {number} double-precision floating-point number +* +* @example +* var x = ldexp( 0.5, 3 ); // => 0.5 * 2^3 = 0.5 * 8 +* // returns 4.0 +* +* @example +* var x = ldexp( 4.0, -2 ); // => 4 * 2^(-2) = 4 * (1/4) +* // returns 1.0 +* +* @example +* var x = ldexp( 0.0, 20 ); +* // returns 0.0 +* +* @example +* var x = ldexp( -0.0, 39 ); +* // returns -0.0 +* +* @example +* var x = ldexp( NaN, -101 ); +* // returns NaN +* +* @example +* var x = ldexp( Infinity, 11 ); +* // returns Infinity +* +* @example +* var x = ldexp( -Infinity, -118 ); +* // returns -Infinity +*/ +function ldexp( frac, exp ) { + return addon( frac, exp ); +} + + +// EXPORTS // + +module.exports = ldexp; diff --git a/lib/node_modules/@stdlib/math/base/special/ldexp/manifest.json b/lib/node_modules/@stdlib/math/base/special/ldexp/manifest.json new file mode 100644 index 000000000000..7b56a1084da8 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/ldexp/manifest.json @@ -0,0 +1,53 @@ +{ + "options": {}, + "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": [ + { + "src": [ + "./src/main.c" + ], + "include": [ + "./include" + ], + "libraries": [], + "libpath": [], + "dependencies": [ + "@stdlib/math/base/assert/is-infinite", + "@stdlib/math/base/assert/is-nan", + "@stdlib/math/base/special/abs", + "@stdlib/number/float64/base/normalize", + "@stdlib/number/float64/base/exponent", + "@stdlib/number/float64/base/from-words", + "@stdlib/number/float32/base/to-word", + "@stdlib/math/base/special/copysign", + "@stdlib/constants/float64/ninf", + "@stdlib/constants/float64/pinf", + "@stdlib/constants/float64/min-base2-exponent-subnormal", + "@stdlib/constants/float64/max-base2-exponent", + "@stdlib/constants/float64/max-base2-exponent-subnormal", + "@stdlib/constants/float64/exponent-bias" + ] + } + ] +} diff --git a/lib/node_modules/@stdlib/math/base/special/ldexp/src/Makefile b/lib/node_modules/@stdlib/math/base/special/ldexp/src/Makefile new file mode 100644 index 000000000000..f79b87238713 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/ldexp/src/Makefile @@ -0,0 +1,70 @@ +#/ +# @license Apache-2.0 +# +# Copyright (c) 2022 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/ldexp/src/addon.c b/lib/node_modules/@stdlib/math/base/special/ldexp/src/addon.c new file mode 100644 index 000000000000..50bf32fa261e --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/ldexp/src/addon.c @@ -0,0 +1,103 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2022 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/ldexp.h" +#include +#include +#include + +/** +* Receives JavaScript callback invocation data. +* +* @private +* @param env environment under which the function is invoked +* @param info callback data +* @return Node-API value +*/ +static napi_value addon( napi_env env, napi_callback_info info ) { + napi_status status; + + // Get callback arguments: + size_t argc = 2; + napi_value argv[ 2 ]; + status = napi_get_cb_info( env, info, &argc, argv, NULL, NULL ); + assert( status == napi_ok ); + + // Check whether we were provided the correct number of arguments: + if ( argc < 2 ) { + status = napi_throw_error( env, NULL, "invalid invocation. Insufficient arguments." ); + assert( status == napi_ok ); + return NULL; + } + if ( argc > 2 ) { + status = napi_throw_error( env, NULL, "invalid invocation. Too many arguments." ); + assert( status == napi_ok ); + return NULL; + } + + napi_valuetype vtype0; + status = napi_typeof( env, argv[ 0 ], &vtype0 ); + assert( status == napi_ok ); + if ( vtype0 != napi_number ) { + status = napi_throw_type_error( env, NULL, "invalid argument. First argument must be a number." ); + assert( status == napi_ok ); + return NULL; + } + + napi_valuetype vtype1; + status = napi_typeof( env, argv[ 1 ], &vtype1 ); + assert( status == napi_ok ); + if ( vtype1 != napi_number ) { + status = napi_throw_type_error( env, NULL, "invalid argument. Second argument must be a number." ); + assert( status == napi_ok ); + return NULL; + } + + double frac; + status = napi_get_value_double( env, argv[ 0 ], &frac ); + assert( status == napi_ok ); + + int32_t exp; + status = napi_get_value_int32( env, argv[ 1 ], &exp ); + assert( status == napi_ok ); + + double out = stdlib_base_ldexp( frac, exp ); + + napi_value v; + status = napi_create_double( env, out, &v ); + assert( status == napi_ok ); + + return v; +} + +/** +* Initializes a Node-API module. +* +* @private +* @param env environment under which the function is invoked +* @param exports exports object +* @return main export +*/ +static napi_value init( napi_env env, napi_value exports ) { + napi_value fcn; + napi_status status = napi_create_function( env, "exports", NAPI_AUTO_LENGTH, addon, NULL, &fcn ); + assert( status == napi_ok ); + return fcn; +} + +NAPI_MODULE( NODE_GYP_MODULE_NAME, init ) diff --git a/lib/node_modules/@stdlib/math/base/special/ldexp/src/main.c b/lib/node_modules/@stdlib/math/base/special/ldexp/src/main.c new file mode 100644 index 000000000000..6c209d16baad --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/ldexp/src/main.c @@ -0,0 +1,96 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2022 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/ldexp.h" +#include "stdlib/number/float64/base/normalize.h" +#include "stdlib/number/float64/base/exponent.h" +#include "stdlib/number/float64/base/to_words.h" +#include "stdlib/number/float64/base/from_words.h" +#include "stdlib/math/base/special/copysign.h" +#include "stdlib/math/base/assert/is_nan.h" +#include "stdlib/math/base/assert/is_infinite.h" +#include "stdlib/constants/float64/ninf.h" +#include "stdlib/constants/float64/pinf.h" +#include "stdlib/constants/float64/min_base2_exponent_subnormal.h" +#include "stdlib/constants/float64/max_base2_exponent.h" +#include "stdlib/constants/float64/max_base2_exponent_subnormal.h" +#include "stdlib/constants/float64/exponent_bias.h" +#include + +// 1/(1<<52) = 1/(2**52) = 1/4503599627370496 +static const double TWO52_INV = 2.220446049250313e-16; + +// Exponent all 0s: 1 00000000000 11111111111111111111 => 2148532223 +static const uint32_t CLEAR_EXP_MASK = 2148532223; + +/** +* Multiplies a double-precision floating-point number by an integer power of two. +* +* @param frac input value +* @param exp integer power of two +* @return product +* +* @example +* double out = stdlib_base_ldexp( 0.5, 3 ); // 0.5 * 2^3 = 0.5 * 8 +* // returns 4.0 +*/ +double stdlib_base_ldexp( const double frac, const int32_t exp ) { + uint32_t high; + uint32_t low; + int32_t e; + double m; + double y; + if ( exp == 0 || frac == 0.0 || stdlib_base_is_nan( frac ) || stdlib_base_is_infinite( frac ) ) { + return frac; + } + // Normalize the input fraction: + stdlib_base_float64_normalize( frac, &y, &e ); + + // Extract the exponent from `frac` and add it to `exp`: + e += exp + stdlib_base_float64_exponent( y ); + + // Check for underflow/overflow... + if ( e < STDLIB_CONSTANT_FLOAT64_MIN_BASE2_EXPONENT_SUBNORMAL ) { + return stdlib_base_copysign( 0.0, y ); + } + if ( e > STDLIB_CONSTANT_FLOAT64_MAX_BASE2_EXPONENT ) { + if ( y < 0.0 ) { + return STDLIB_CONSTANT_FLOAT64_NINF; + } + return STDLIB_CONSTANT_FLOAT64_PINF; + } + // Check for a subnormal and scale accordingly to retain precision... + if ( e <= STDLIB_CONSTANT_FLOAT64_MAX_BASE2_EXPONENT_SUBNORMAL ) { + e += 52; + m = TWO52_INV; + } else { + m = 1.0; + } + // Split the fraction into higher and lower order words: + stdlib_base_float64_to_words( y, &high, &low ); + + // Clear the exponent bits within the higher order word: + high &= CLEAR_EXP_MASK; + + // Set the exponent bits to the new exponent: + high |= ((e+STDLIB_CONSTANT_FLOAT64_EXPONENT_BIAS) << 20); + + // Create a new floating-point number: + stdlib_base_float64_from_words( high, low, &y ); + return m * y; +} diff --git a/lib/node_modules/@stdlib/math/base/special/ldexp/test/test.native.js b/lib/node_modules/@stdlib/math/base/special/ldexp/test/test.native.js new file mode 100644 index 000000000000..dca0af4c0ad3 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/ldexp/test/test.native.js @@ -0,0 +1,187 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2022 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 PINF = require( '@stdlib/constants/float64/pinf' ); +var NINF = require( '@stdlib/constants/float64/ninf' ); +var isNegativeZero = require( '@stdlib/math/base/assert/is-negative-zero' ); +var isPositiveZero = require( '@stdlib/math/base/assert/is-positive-zero' ); +var isnan = require( '@stdlib/math/base/assert/is-nan' ); +var tryRequire = require( '@stdlib/utils/try-require' ); + + +// FIXTURES // + +var small = require( './fixtures/julia/small.json' ); +var medium = require( './fixtures/julia/medium.json' ); +var large = require( './fixtures/julia/large.json' ); +var subnormal = require( './fixtures/julia/subnormal.json' ); + + +// VARIABLES // + +var ldexp = tryRequire( resolve( __dirname, './../lib/native.js' ) ); +var opts = { + 'skip': ( ldexp instanceof Error ) +}; + + +// TESTS // + +tape( 'main export is a function', opts, function test( t ) { + t.ok( true, __filename ); + t.equal( typeof ldexp, 'function', 'main export is a function' ); + t.end(); +}); + +tape( 'the function multiplies a number by an integer power of two (small values)', opts, function test( t ) { + var expected; + var frac; + var exp; + var v; + var i; + + expected = small.expected; + frac = small.frac; + exp = small.exp; + for ( i = 0; i < frac.length; i++ ) { + v = ldexp( frac[i], exp[i] ); + t.equal( v, expected[i], 'frac: '+frac[i]+'; exp: '+exp[i]+'; expected: '+expected[i] ); + } + t.end(); +}); + +tape( 'the function multiplies a number by an integer power of two (medium values)', opts, function test( t ) { + var expected; + var frac; + var exp; + var v; + var i; + + expected = medium.expected; + frac = medium.frac; + exp = medium.exp; + for ( i = 0; i < frac.length; i++ ) { + v = ldexp( frac[i], exp[i] ); + t.equal( v, expected[i], 'frac: '+frac[i]+'; exp: '+exp[i]+'; expected: '+expected[i] ); + } + t.end(); +}); + +tape( 'the function multiplies a number by an integer power of two (large values)', opts, function test( t ) { + var expected; + var frac; + var exp; + var v; + var i; + + expected = large.expected; + frac = large.frac; + exp = large.exp; + for ( i = 0; i < frac.length; i++ ) { + v = ldexp( frac[i], exp[i] ); + t.equal( v, expected[i], 'frac: '+frac[i]+'; exp: '+exp[i]+'; expected: '+expected[i] ); + } + t.end(); +}); + +tape( 'the function multiplies a number by an integer power of two (subnormals)', opts, function test( t ) { + var expected; + var frac; + var exp; + var v; + var i; + + expected = subnormal.expected; + frac = subnormal.frac; + exp = subnormal.exp; + for ( i = 0; i < frac.length; i++ ) { + v = ldexp( frac[i], exp[i] ); + t.equal( v, expected[i], 'frac: '+frac[i]+'; exp: '+exp[i]+'; expected: '+expected[i] ); + } + t.end(); +}); + +tape( 'if provided a fraction equal to `+0`, the function returns `+0`', opts, function test( t ) { + var v = ldexp( 0.0, 10 ); + t.equal( isPositiveZero( v ), true, 'returns +0' ); + t.end(); +}); + +tape( 'if provided a fraction equal to `-0`, the function returns `-0`', opts, function test( t ) { + var v = ldexp( -0.0, 10 ); + t.equal( isNegativeZero( v ), true, 'returns -0' ); + t.end(); +}); + +tape( 'if provided a fraction equal to `+infinity`, the function returns `+infinity`', opts, function test( t ) { + var v = ldexp( PINF, 10 ); + t.equal( v, PINF, 'returns +infinity' ); + t.end(); +}); + +tape( 'if provided a fraction equal to `-infinity`, the function returns `-infinity`', opts, function test( t ) { + var v = ldexp( NINF, 10 ); + t.equal( v, NINF, 'returns -infinity' ); + t.end(); +}); + +tape( 'if provided an exponent equal to `0`, the function returns the provided fraction', opts, function test( t ) { + var v = ldexp( 3.0, 0 ); + t.equal( v, 3.0, 'returns expected value' ); + t.end(); +}); + +tape( 'if provided a fraction equal to `NaN`, the function returns `NaN`', opts, function test( t ) { + var v = ldexp( NaN, 10 ); + t.equal( isnan( v ), true, 'returns NaN' ); + t.end(); +}); + +tape( 'the function returns `0` if the result of multiplying a positive fraction and an integer power of two underflows', opts, function test( t ) { + // Min subnormal ~5e-324 ~ 2**-1074 + var v = ldexp( 0.005, -1073 ); + t.equal( isPositiveZero( v ), true, 'returns +0' ); + t.end(); +}); + +tape( 'the function returns `-0` if the result of multiplying a negative fraction and an integer power of two underflows', opts, function test( t ) { + // Min subnormal ~5e-324 ~ 2**-1074 + var v = ldexp( -0.005, -1073 ); + t.equal( isNegativeZero( v ), true, 'returns -0' ); + t.end(); +}); + +tape( 'the function returns `+infinity` if the result of multiplying a positive fraction and an integer power of two overflows', opts, function test( t ) { + // Max double ~1e308 ~ 2**1023 + var v = ldexp( 1.0e3, 1021 ); + t.equal( v, PINF, 'returns +infinity' ); + t.end(); +}); + +tape( 'the function returns `-infinity` if the result of multiplying a negative fraction and an integer power of two overflows', opts, function test( t ) { + // Max double ~1e308 ~ 2**1023 + var v = ldexp( -1.0e3, 1021 ); + t.equal( v, NINF, 'returns -infinity' ); + t.end(); +});