From 66640cca867928c91949bbe3c22703371da64626 Mon Sep 17 00:00:00 2001 From: GUNJ JOSHI Date: Mon, 8 Apr 2024 21:59:44 +0530 Subject: [PATCH 01/13] feat: add math/base/special/kernel-log --- .../math/base/special/kernel-log/LICENSE | 192 ++++++++++++++++++ .../math/base/special/kernel-log/README.md | 183 +++++++++++++++++ .../special/kernel-log/benchmark/benchmark.js | 52 +++++ .../kernel-log/benchmark/benchmark.native.js | 61 ++++++ .../special/kernel-log/benchmark/c/Makefile | 146 +++++++++++++ .../kernel-log/benchmark/c/benchmark.c | 136 +++++++++++++ .../math/base/special/kernel-log/binding.gyp | 170 ++++++++++++++++ .../base/special/kernel-log/docs/repl.txt | 28 +++ .../special/kernel-log/docs/types/index.d.ts | 46 +++++ .../special/kernel-log/docs/types/test.ts | 56 +++++ .../special/kernel-log/examples/c/Makefile | 146 +++++++++++++ .../special/kernel-log/examples/c/example.c | 34 ++++ .../base/special/kernel-log/examples/index.js | 30 +++ .../math/base/special/kernel-log/include.gypi | 53 +++++ .../stdlib/math/base/special/kernel_log.h | 38 ++++ .../math/base/special/kernel-log/lib/index.js | 47 +++++ .../math/base/special/kernel-log/lib/main.js | 115 +++++++++++ .../base/special/kernel-log/lib/native.js | 56 +++++ .../base/special/kernel-log/lib/polyval_p.js | 47 +++++ .../base/special/kernel-log/lib/polyval_q.js | 47 +++++ .../base/special/kernel-log/manifest.json | 75 +++++++ .../math/base/special/kernel-log/package.json | 65 ++++++ .../special/kernel-log/scripts/evalpoly.js | 133 ++++++++++++ .../math/base/special/kernel-log/src/Makefile | 70 +++++++ .../math/base/special/kernel-log/src/addon.c | 23 +++ .../math/base/special/kernel-log/src/main.c | 130 ++++++++++++ .../special/kernel-log/test/fixtures/REQUIRE | 2 + .../kernel-log/test/fixtures/data.json | 1 + .../kernel-log/test/fixtures/runner.jl | 68 +++++++ .../kernel-log/test/fixtures/tiny.json | 1 + .../math/base/special/kernel-log/test/test.js | 99 +++++++++ .../special/kernel-log/test/test.native.js | 108 ++++++++++ 32 files changed, 2458 insertions(+) create mode 100644 lib/node_modules/@stdlib/math/base/special/kernel-log/LICENSE create mode 100644 lib/node_modules/@stdlib/math/base/special/kernel-log/README.md create mode 100644 lib/node_modules/@stdlib/math/base/special/kernel-log/benchmark/benchmark.js create mode 100644 lib/node_modules/@stdlib/math/base/special/kernel-log/benchmark/benchmark.native.js create mode 100644 lib/node_modules/@stdlib/math/base/special/kernel-log/benchmark/c/Makefile create mode 100644 lib/node_modules/@stdlib/math/base/special/kernel-log/benchmark/c/benchmark.c create mode 100644 lib/node_modules/@stdlib/math/base/special/kernel-log/binding.gyp create mode 100644 lib/node_modules/@stdlib/math/base/special/kernel-log/docs/repl.txt create mode 100644 lib/node_modules/@stdlib/math/base/special/kernel-log/docs/types/index.d.ts create mode 100644 lib/node_modules/@stdlib/math/base/special/kernel-log/docs/types/test.ts create mode 100644 lib/node_modules/@stdlib/math/base/special/kernel-log/examples/c/Makefile create mode 100644 lib/node_modules/@stdlib/math/base/special/kernel-log/examples/c/example.c create mode 100644 lib/node_modules/@stdlib/math/base/special/kernel-log/examples/index.js create mode 100644 lib/node_modules/@stdlib/math/base/special/kernel-log/include.gypi create mode 100644 lib/node_modules/@stdlib/math/base/special/kernel-log/include/stdlib/math/base/special/kernel_log.h create mode 100644 lib/node_modules/@stdlib/math/base/special/kernel-log/lib/index.js create mode 100644 lib/node_modules/@stdlib/math/base/special/kernel-log/lib/main.js create mode 100644 lib/node_modules/@stdlib/math/base/special/kernel-log/lib/native.js create mode 100644 lib/node_modules/@stdlib/math/base/special/kernel-log/lib/polyval_p.js create mode 100644 lib/node_modules/@stdlib/math/base/special/kernel-log/lib/polyval_q.js create mode 100644 lib/node_modules/@stdlib/math/base/special/kernel-log/manifest.json create mode 100644 lib/node_modules/@stdlib/math/base/special/kernel-log/package.json create mode 100644 lib/node_modules/@stdlib/math/base/special/kernel-log/scripts/evalpoly.js create mode 100644 lib/node_modules/@stdlib/math/base/special/kernel-log/src/Makefile create mode 100644 lib/node_modules/@stdlib/math/base/special/kernel-log/src/addon.c create mode 100644 lib/node_modules/@stdlib/math/base/special/kernel-log/src/main.c create mode 100644 lib/node_modules/@stdlib/math/base/special/kernel-log/test/fixtures/REQUIRE create mode 100644 lib/node_modules/@stdlib/math/base/special/kernel-log/test/fixtures/data.json create mode 100644 lib/node_modules/@stdlib/math/base/special/kernel-log/test/fixtures/runner.jl create mode 100644 lib/node_modules/@stdlib/math/base/special/kernel-log/test/fixtures/tiny.json create mode 100644 lib/node_modules/@stdlib/math/base/special/kernel-log/test/test.js create mode 100644 lib/node_modules/@stdlib/math/base/special/kernel-log/test/test.native.js diff --git a/lib/node_modules/@stdlib/math/base/special/kernel-log/LICENSE b/lib/node_modules/@stdlib/math/base/special/kernel-log/LICENSE new file mode 100644 index 000000000000..a7566ad6f2c3 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/kernel-log/LICENSE @@ -0,0 +1,192 @@ + + Apache License + Version 2.0, January 2004 + http://www.apache.org/licenses/ + + TERMS AND CONDITIONS FOR USE, REPRODUCTION, AND DISTRIBUTION + + 1. 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All rights reserved. + +Developed at SunPro, a Sun Microsystems, Inc. business. +Permission to use, copy, modify, and distribute this +software is freely granted, provided that this notice +is preserved. diff --git a/lib/node_modules/@stdlib/math/base/special/kernel-log/README.md b/lib/node_modules/@stdlib/math/base/special/kernel-log/README.md new file mode 100644 index 000000000000..e3ce780e8f1c --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/kernel-log/README.md @@ -0,0 +1,183 @@ + + +# kernelLog + +> Compute `log(x) - (x-1)` for `x` in `~[sqrt(2)/2, sqrt(2)]`. + +
+ +## Usage + +```javascript +var kernelLog = require( '@stdlib/math/base/special/kernel-log' ); +``` + +#### kernelLog( x ) + +Computes `log(x) - (x-1)` for `x` in `~[sqrt(2)/2, sqrt(2)]`. + +```javascript +var v = kernelLog( 1.0 ); +// returns 0.0 + +v = kernelLog( 1.4142135623730951 ); +// returns ~-0.0676 + +v = kernelLog( NaN ); +// returns NaN +``` + +
+ + + +
+ +## Examples + + + +```javascript +var linspace = require( '@stdlib/array/base/linspace' ); +var sqrt = require( '@stdlib/math/base/special/sqrt' ); +var kernelLog = require( '@stdlib/math/base/special/kernel-log' ); + +var x = linspace( sqrt( 2.0 ) / 2.0, sqrt( 2.0 ), 100 ); + +var i; +for ( i = 0; i < x.length; i++ ) { + console.log( 'kernelLog(%d) = %d', x[ i ], kernelLog( x[ i ] ) ); +} +``` + +
+ + + + + +* * * + +
+ +## C APIs + + + +
+ +
+ + + + + +
+ +### Usage + +```c +#include "stdlib/math/base/special/kernel_log.h" +``` + +#### stdlib_base_kernel_log( x ) + +Computes `log(x) - (x-1)` for `x` in `~[sqrt(2)/2, sqrt(2)]`. + +```c +double out = stdlib_base_kernel_log( 1.0 ); +// returns 0.0 + +out = stdlib_base_kernel_log( 1.4142135623730951 ); +// returns ~-0.0676 +``` + +The function accepts the following arguments: + +- **x**: `[in] double` input value (assumed to be bounded by `~[sqrt(2)/2, sqrt(2)]` in magnitude). + +```c +double stdlib_base_kernel_log( const double x ); +``` + +
+ + + + + +
+ +
+ + + + + +
+ +### Examples + +```c +#include "stdlib/math/base/special/kernel_log.h" +#include +#include + +int main( void ) { + double x; + double v; + int i; + + for ( i = 0; i < 100; i++ ) { + x = 2.0 * (double)rand() * 0.7071067811865475; + v = stdlib_base_kernel_log( x ); + printf( "kernelLog(%lf) = %lf\n", x, v ); + } +} +``` + +
+ + + +
+ + + + + +
+ +
+ + + + + +
+ + + + + +
+ + diff --git a/lib/node_modules/@stdlib/math/base/special/kernel-log/benchmark/benchmark.js b/lib/node_modules/@stdlib/math/base/special/kernel-log/benchmark/benchmark.js new file mode 100644 index 000000000000..65f1b7ebf586 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/kernel-log/benchmark/benchmark.js @@ -0,0 +1,52 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2024 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +'use strict'; + +// MODULES // + +var bench = require( '@stdlib/bench' ); +var randu = require( '@stdlib/random/base/randu' ); +var isnan = require( '@stdlib/math/base/assert/is-nan' ); +var sqrt = require( '@stdlib/math/base/special/sqrt' ); +var pkg = require( './../package.json' ).name; +var kernelLog = require( './../lib' ); + + +// MAIN // + +bench( pkg, function benchmark( b ) { + var x; + var y; + var i; + + b.tic(); + for ( i = 0; i < b.iterations; i++ ) { + x = randu() * 2.0 * ( sqrt( 2.0 ) / 2.0 ); + y = kernelLog( 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/kernel-log/benchmark/benchmark.native.js b/lib/node_modules/@stdlib/math/base/special/kernel-log/benchmark/benchmark.native.js new file mode 100644 index 000000000000..a00247733eb3 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/kernel-log/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 isnan = require( '@stdlib/math/base/assert/is-nan' ); +var sqrt = require( '@stdlib/math/base/special/sqrt' ); +var tryRequire = require( '@stdlib/utils/try-require' ); +var pkg = require( './../package.json' ).name; + + +// VARIABLES // + +var kernelLog = tryRequire( resolve( __dirname, './../lib/native.js' ) ); +var opts = { + 'skip': ( kernelLog instanceof Error ) +}; + + +// MAIN // + +bench( pkg+'::native', opts, function benchmark( b ) { + var x; + var y; + var i; + + b.tic(); + for ( i = 0; i < b.iterations; i++ ) { + x = randu() * 2.0 * ( sqrt( 2.0 ) / 2.0 ); + y = kernelLog( 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/kernel-log/benchmark/c/Makefile b/lib/node_modules/@stdlib/math/base/special/kernel-log/benchmark/c/Makefile new file mode 100644 index 000000000000..f69e9da2b4d3 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/kernel-log/benchmark/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 := 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/kernel-log/benchmark/c/benchmark.c b/lib/node_modules/@stdlib/math/base/special/kernel-log/benchmark/c/benchmark.c new file mode 100644 index 000000000000..a2353278ff17 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/kernel-log/benchmark/c/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 `kernel_log`. +*/ +#include "stdlib/math/base/special/kernel_log.h" +#include +#include +#include +#include +#include + +#define NAME "kernel_log" +#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 z; + double t; + int i; + + t = tic(); + for ( i = 0; i < ITERATIONS; i++ ) { + x = 2.0 * rand_double() * 0.7071067811865476; + z = stdlib_base_kernel_log( x ); + 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::%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/kernel-log/binding.gyp b/lib/node_modules/@stdlib/math/base/special/kernel-log/binding.gyp new file mode 100644 index 000000000000..ec3992233442 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/kernel-log/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/kernel-log/docs/repl.txt b/lib/node_modules/@stdlib/math/base/special/kernel-log/docs/repl.txt new file mode 100644 index 000000000000..faa12be2bc1a --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/kernel-log/docs/repl.txt @@ -0,0 +1,28 @@ + +{{alias}}( x, y ) + Computes log(x) - (x-1) for x in ~[sqrt(2)/2, sqrt(2)]. + + If the argument is `NaN`, the function returns `NaN`. + + Parameters + ---------- + x: number + Input value. + + Returns + ------- + out: number + Function value. + + Examples + -------- + > var y = {{alias}}( 1.0 ) + ~0.0 + > y = {{alias}}( 1.4142135623730951 ) + ~-0.0676 + > y = {{alias}}( NaN ) + NaN + + See Also + -------- + diff --git a/lib/node_modules/@stdlib/math/base/special/kernel-log/docs/types/index.d.ts b/lib/node_modules/@stdlib/math/base/special/kernel-log/docs/types/index.d.ts new file mode 100644 index 000000000000..64934d1e56cb --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/kernel-log/docs/types/index.d.ts @@ -0,0 +1,46 @@ +/* +* @license Apache-2.0 +* +* Copyright (c) 2024 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +// TypeScript Version: 4.1 + +/** +* Computes `log(x) - (x-1)` for `x` in `~[sqrt(2)/2, sqrt(2)]`. +* +* @param x - input value +* @returns function value +* +* @example +* var v = kernelLog( 1.0 ); +* // returns 0.0 +* +* @example +* var sqrt = require( '@stdlib/math/base/special/sqrt' ); +* +* var v = kernelLog( sqrt( 2.0 ) ); +* // returns ~-0.0676 +* +* @example +* var v = kernelLog( NaN ); +* // returns NaN +*/ +declare function kernelLog( x: number, y: number ): number; + + +// EXPORTS // + +export = kernelLog; diff --git a/lib/node_modules/@stdlib/math/base/special/kernel-log/docs/types/test.ts b/lib/node_modules/@stdlib/math/base/special/kernel-log/docs/types/test.ts new file mode 100644 index 000000000000..1de0001fb426 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/kernel-log/docs/types/test.ts @@ -0,0 +1,56 @@ +/* +* @license Apache-2.0 +* +* Copyright (c) 2024 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +import kernelLog = require( './index' ); + + +// TESTS // + +// The function returns a number... +{ + kernelLog( 0.5, 0.2 ); // $ExpectType number +} + +// The compiler throws an error if the function is provided values other than two numbers... +{ + kernelLog( true, 3 ); // $ExpectError + kernelLog( false, 2 ); // $ExpectError + kernelLog( '5', 1 ); // $ExpectError + kernelLog( [], 1 ); // $ExpectError + kernelLog( {}, 2 ); // $ExpectError + kernelLog( ( x: number ): number => x, 2 ); // $ExpectError + + kernelLog( 9, true ); // $ExpectError + kernelLog( 9, false ); // $ExpectError + kernelLog( 5, '5' ); // $ExpectError + kernelLog( 8, [] ); // $ExpectError + kernelLog( 9, {} ); // $ExpectError + kernelLog( 8, ( x: number ): number => x ); // $ExpectError + + kernelLog( [], true ); // $ExpectError + kernelLog( {}, false ); // $ExpectError + kernelLog( false, '5' ); // $ExpectError + kernelLog( {}, [] ); // $ExpectError + kernelLog( '5', ( x: number ): number => x ); // $ExpectError +} + +// The compiler throws an error if the function is provided insufficient arguments... +{ + kernelLog(); // $ExpectError + kernelLog( 0 ); // $ExpectError +} diff --git a/lib/node_modules/@stdlib/math/base/special/kernel-log/examples/c/Makefile b/lib/node_modules/@stdlib/math/base/special/kernel-log/examples/c/Makefile new file mode 100644 index 000000000000..6aed70daf167 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/kernel-log/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/kernel-log/examples/c/example.c b/lib/node_modules/@stdlib/math/base/special/kernel-log/examples/c/example.c new file mode 100644 index 000000000000..c5777b4b104d --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/kernel-log/examples/c/example.c @@ -0,0 +1,34 @@ +/** +* @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/kernel_log.h" +#include +#include + +int main( void ) { + double x; + double v; + int i; + + for ( i = 0; i < 100; i++ ) { + x = 2.0 * (double)rand() * 0.7071067811865475; + v = stdlib_base_kernel_log( x ); + printf( "kernelLog(%lf) = %lf\n", x, v ); + } +} diff --git a/lib/node_modules/@stdlib/math/base/special/kernel-log/examples/index.js b/lib/node_modules/@stdlib/math/base/special/kernel-log/examples/index.js new file mode 100644 index 000000000000..77ff4bc566a6 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/kernel-log/examples/index.js @@ -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. +*/ + +'use strict'; + +var linspace = require( '@stdlib/array/base/linspace' ); +var sqrt = require( '@stdlib/math/base/special/sqrt' ); +var kernelLog = require( './../lib' ); + +var x = linspace( sqrt( 2.0 ) / 2.0, sqrt( 2.0 ), 100 ); + +var i; +for ( i = 0; i < x.length; i++ ) { + console.log( 'kernelLog(%d) = %d', x[ i ], kernelLog( x[ i ] ) ); +} diff --git a/lib/node_modules/@stdlib/math/base/special/kernel-log/include.gypi b/lib/node_modules/@stdlib/math/base/special/kernel-log/include.gypi new file mode 100644 index 000000000000..575cb043c0bf --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/kernel-log/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': [ + ' 0 00000000000 11111111111111111111 +var HIGH_SIGNIFICAND_MASK = 0x000fffff|0; // asm type annotation + +// 1/3 +var ONE_THIRD = 0.33333333333333333; + + +// MAIN // + +/** +* Computes `log(x) - (x-1)` for `x` in `~[sqrt(2)/2, sqrt(2)]`. +* +* @param {number} x - input value +* @returns {number} function value +* +* @example +* var v = kernelLog( 1.0 ); +* // returns 0.0 +* +* @example +* var sqrt = require( '@stdlib/math/base/special/sqrt' ); +* +* v = kernelLog( sqrt( 2.0 ) ); +* // returns ~-0.0676 +* +* @example +* var v = kernelLog( NaN ); +* // returns NaN +*/ +function kernelLog( x ) { + var hfsq; + var t1; + var t2; + var hx; + var f; + var s; + var z; + var R; + var w; + var i; + var j; + + hx = getHighWord( x ); + f = x - 1.0; + if ( ( HIGH_SIGNIFICAND_MASK & ( 2 + hx ) ) < 3 ) { + // Case: -2**-20 <= f < 2**-20 + if ( f === 0.0 ) { + return 0.0; + } + return f * f * ( ( ONE_THIRD * f )- 0.5 ); + } + s = f / ( 2.0 + f ); + z = s * s; + hx &= HIGH_SIGNIFICAND_MASK; + i = ( hx - 0x6147a )|0; // asm type annotation + w = z * z; + j = ( 0x6b851 - hx )|0; // asm type annotation + t1 = w * polyvalP( w ); + t2 = z * polyvalQ( w ); + i |= j; + R = t2 + t1; + if ( i > 0 ) { + hfsq = 0.5 * f * f; + return ( s * ( hfsq + R ) ) - hfsq; + } + return s * ( R - f ); +} + + +// EXPORTS // + +module.exports = kernelLog; diff --git a/lib/node_modules/@stdlib/math/base/special/kernel-log/lib/native.js b/lib/node_modules/@stdlib/math/base/special/kernel-log/lib/native.js new file mode 100644 index 000000000000..f53afd8e8479 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/kernel-log/lib/native.js @@ -0,0 +1,56 @@ +/** +* @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 `log(x) - (x-1)` for `x` in `~[sqrt(2)/2, sqrt(2)]`. +* +* @private +* @param {number} x - input value +* @returns {number} function value +* +* @example +* var v = kernelLog( 1.0 ); +* // returns 0.0 +* +* @example +* var sqrt = require( '@stdlib/math/base/special/sqrt' ); +* +* v = kernelLog( sqrt( 2.0 ) ); +* // returns ~-0.0676 +* +* @example +* var v = kernelLog( NaN ); +* // returns NaN +*/ +function kernelLog( x ) { + return addon( x ); +} + + +// EXPORTS // + +module.exports = kernelLog; diff --git a/lib/node_modules/@stdlib/math/base/special/kernel-log/lib/polyval_p.js b/lib/node_modules/@stdlib/math/base/special/kernel-log/lib/polyval_p.js new file mode 100644 index 000000000000..6a1309b25eef --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/kernel-log/lib/polyval_p.js @@ -0,0 +1,47 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2024 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +/* This is a generated file. Do not edit directly. */ +'use strict'; + +// MAIN // + +/** +* Evaluates a polynomial. +* +* ## Notes +* +* - The implementation uses [Horner's rule][horners-method] for efficient computation. +* +* [horners-method]: https://en.wikipedia.org/wiki/Horner%27s_method +* +* @private +* @param {number} x - value at which to evaluate the polynomial +* @returns {number} evaluated polynomial +*/ +function evalpoly( x ) { + if ( x === 0.0 ) { + return 0.3999999999940942; + } + return 0.3999999999940942 + (x * (0.22222198432149784 + (x * 0.15313837699209373))); // eslint-disable-line max-len +} + + +// EXPORTS // + +module.exports = evalpoly; diff --git a/lib/node_modules/@stdlib/math/base/special/kernel-log/lib/polyval_q.js b/lib/node_modules/@stdlib/math/base/special/kernel-log/lib/polyval_q.js new file mode 100644 index 000000000000..31521f3110d1 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/kernel-log/lib/polyval_q.js @@ -0,0 +1,47 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2024 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +/* This is a generated file. Do not edit directly. */ +'use strict'; + +// MAIN // + +/** +* Evaluates a polynomial. +* +* ## Notes +* +* - The implementation uses [Horner's rule][horners-method] for efficient computation. +* +* [horners-method]: https://en.wikipedia.org/wiki/Horner%27s_method +* +* @private +* @param {number} x - value at which to evaluate the polynomial +* @returns {number} evaluated polynomial +*/ +function evalpoly( x ) { + if ( x === 0.0 ) { + return 0.6666666666666735; + } + return 0.6666666666666735 + (x * (0.2857142874366239 + (x * (0.1818357216161805 + (x * 0.14798198605116586))))); // eslint-disable-line max-len +} + + +// EXPORTS // + +module.exports = evalpoly; diff --git a/lib/node_modules/@stdlib/math/base/special/kernel-log/manifest.json b/lib/node_modules/@stdlib/math/base/special/kernel-log/manifest.json new file mode 100644 index 000000000000..81b3c8e48cc8 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/kernel-log/manifest.json @@ -0,0 +1,75 @@ +{ + "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/number/float64/base/get-high-word", + "@stdlib/constants/float64/high-word-significand-mask" + ] + }, + { + "task": "benchmark", + "src": [ + "./src/main.c" + ], + "include": [ + "./include" + ], + "libraries": [], + "libpath": [], + "dependencies": [ + "@stdlib/number/float64/base/get-high-word", + "@stdlib/constants/float64/high-word-significand-mask" + ] + }, + { + "task": "examples", + "src": [ + "./src/main.c" + ], + "include": [ + "./include" + ], + "libraries": [], + "libpath": [], + "dependencies": [ + "@stdlib/number/float64/base/get-high-word", + "@stdlib/constants/float64/high-word-significand-mask" + ] + } + ] +} diff --git a/lib/node_modules/@stdlib/math/base/special/kernel-log/package.json b/lib/node_modules/@stdlib/math/base/special/kernel-log/package.json new file mode 100644 index 000000000000..c941bd42026a --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/kernel-log/package.json @@ -0,0 +1,65 @@ +{ + "name": "@stdlib/math/base/special/kernel-log", + "version": "0.0.0", + "description": "Compute the sine of a double-precision floating-point number on [-π/4, π/4].", + "license": "Apache-2.0", + "author": { + "name": "The Stdlib Authors", + "url": "https://github.com/stdlib-js/stdlib/graphs/contributors" + }, + "contributors": [ + { + "name": "The Stdlib Authors", + "url": "https://github.com/stdlib-js/stdlib/graphs/contributors" + } + ], + "main": "./lib", + "gypfile": true, + "directories": { + "benchmark": "./benchmark", + "doc": "./docs", + "example": "./examples", + "include": "./include", + "lib": "./lib", + "scripts": "./scripts", + "src": "./src", + "test": "./test" + }, + "types": "./docs/types", + "scripts": {}, + "homepage": "https://github.com/stdlib-js/stdlib", + "repository": { + "type": "git", + "url": "git://github.com/stdlib-js/stdlib.git" + }, + "bugs": { + "url": "https://github.com/stdlib-js/stdlib/issues" + }, + "dependencies": {}, + "devDependencies": {}, + "engines": { + "node": ">=0.10.0", + "npm": ">2.7.0" + }, + "os": [ + "aix", + "darwin", + "freebsd", + "linux", + "macos", + "openbsd", + "sunos", + "win32", + "windows" + ], + "keywords": [ + "stdlib", + "stdmath", + "mathematics", + "math", + "math.log", + "log", + "kernel", + "logarithm" + ] +} diff --git a/lib/node_modules/@stdlib/math/base/special/kernel-log/scripts/evalpoly.js b/lib/node_modules/@stdlib/math/base/special/kernel-log/scripts/evalpoly.js new file mode 100644 index 000000000000..f0d190d926e8 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/kernel-log/scripts/evalpoly.js @@ -0,0 +1,133 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2024 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +/* +* This script compiles modules for evaluating polynomial functions. If any polynomial coefficients change, this script should be rerun to update the compiled files. +*/ +'use strict'; + +// MODULES // + +var resolve = require( 'path' ).resolve; +var readFileSync = require( '@stdlib/fs/read-file' ).sync; +var writeFileSync = require( '@stdlib/fs/write-file' ).sync; +var currentYear = require( '@stdlib/time/current-year' ); +var substringBefore = require( '@stdlib/string/substring-before' ); +var substringAfter = require( '@stdlib/string/substring-after' ); +var format = require( '@stdlib/string/format' ); +var licenseHeader = require( '@stdlib/_tools/licenses/header' ); +var compile = require( '@stdlib/math/base/tools/evalpoly-compile' ); +var compileC = require( '@stdlib/math/base/tools/evalpoly-compile-c' ); + + +// VARIABLES // + +// Polynomial coefficients ordered in ascending degree... +var P = [ + 3.999999999940941908e-01, // 3FD99999 9997FA04 + 2.222219843214978396e-01, // 3FCC71C5 1D8E78AF + 1.531383769920937332e-01 // 3FC39A09 D078C69F +]; +var Q = [ + 6.666666666666735130e-01, // 3FE55555 55555593 + 2.857142874366239149e-01, // 3FD24924 94229359 + 1.818357216161805012e-01, // 3FC74664 96CB03DE + 1.479819860511658591e-01 // 3FC2F112 DF3E5244 +]; + +// Header to add to output files: +var header = licenseHeader( 'Apache-2.0', 'js', { + 'year': currentYear(), + 'copyright': 'The Stdlib Authors' +}); +header += '\n/* This is a generated file. Do not edit directly. */\n'; + + +// FUNCTIONS // + +/** +* Inserts a compiled function into file content. +* +* @private +* @param {string} text - source content +* @param {string} id - function identifier +* @param {string} str - function string +* @returns {string} updated content +*/ +function insert( text, id, str ) { + var before; + var after; + var begin; + var end; + + begin = '// BEGIN: '+id; + end = '// END: '+id; + + before = substringBefore( text, begin ); + after = substringAfter( text, end ); + + return format( '%s// BEGIN: %s\n\n%s\n%s%s', before, id, str, end, after ); +} + + +// MAIN // + +/** +* Main execution sequence. +* +* @private +*/ +function main() { + var fpath; + var copts; + var opts; + var file; + var str; + + opts = { + 'encoding': 'utf8' + }; + + fpath = resolve( __dirname, '..', 'lib', 'polyval_p.js' ); + str = header + compile( P ); + writeFileSync( fpath, str, opts ); + + fpath = resolve( __dirname, '..', 'lib', 'polyval_q.js' ); + str = header + compile( Q ); + writeFileSync( fpath, str, opts ); + + copts = { + 'dtype': 'double', + 'name': '' + }; + + fpath = resolve( __dirname, '..', 'src', 'main.c' ); + file = readFileSync( fpath, opts ); + + copts.name = 'polyval_p'; + str = compileC( P, copts ); + file = insert( file, copts.name, str ); + + copts.name = 'polyval_q'; + str = compileC( Q, copts ); + file = insert( file, copts.name, str ); + + writeFileSync( fpath, file, opts ); +} + +main(); diff --git a/lib/node_modules/@stdlib/math/base/special/kernel-log/src/Makefile b/lib/node_modules/@stdlib/math/base/special/kernel-log/src/Makefile new file mode 100644 index 000000000000..bcf18aa46655 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/kernel-log/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/kernel-log/src/addon.c b/lib/node_modules/@stdlib/math/base/special/kernel-log/src/addon.c new file mode 100644 index 000000000000..37b8bc75ede3 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/kernel-log/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/kernel_log.h" +#include "stdlib/math/base/napi/unary.h" + +// cppcheck-suppress shadowFunction +STDLIB_MATH_BASE_NAPI_MODULE_D_D( stdlib_base_kernel_log ) diff --git a/lib/node_modules/@stdlib/math/base/special/kernel-log/src/main.c b/lib/node_modules/@stdlib/math/base/special/kernel-log/src/main.c new file mode 100644 index 000000000000..dadb60f4748f --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/kernel-log/src/main.c @@ -0,0 +1,130 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2024 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +* +* ## Notice +* +* The following copyright, license, and long comment were part of the original implementation available as part of [FreeBSD]{@link https://svnweb.freebsd.org/base/release/9.3.0/lib/msun/src/k_sin.c}. The implementation follows the original, but has been modified according to project conventions. +* +* ```text +* Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. +* +* Developed at SunPro, a Sun Microsystems, Inc. business. +* Permission to use, copy, modify, and distribute this +* software is freely granted, provided that this notice +* is preserved. +* ``` +*/ + +#include "stdlib/math/base/special/kernel_log.h" +#include "stdlib/number/float64/base/get_high_word.h" +#include "stdlib/constants/float64/high_word_significand_mask.h" +#include + +// 1/3 +static const double ONE_THIRD = 0.33333333333333333; + +// 0x000fffff = 1048575 => 0 00000000000 11111111111111111111 +static const int32_t HIGH_SIGNIFICAND_MASK = 0x000fffff; + +/* Begin auto-generated functions. The following functions are auto-generated. Do not edit directly. */ + +// BEGIN: polyval_p + +/** +* Evaluates a polynomial. +* +* ## Notes +* +* - The implementation uses [Horner's rule][horners-method] for efficient computation. +* +* [horners-method]: https://en.wikipedia.org/wiki/Horner%27s_method +* +* @param x value at which to evaluate the polynomial +* @return evaluated polynomial +*/ +static double polyval_p( const double x ) { + return 0.3999999999940942 + (x * (0.22222198432149784 + (x * 0.15313837699209373))); +} + +// END: polyval_p + +// BEGIN: polyval_q + +/** +* Evaluates a polynomial. +* +* ## Notes +* +* - The implementation uses [Horner's rule][horners-method] for efficient computation. +* +* [horners-method]: https://en.wikipedia.org/wiki/Horner%27s_method +* +* @param x value at which to evaluate the polynomial +* @return evaluated polynomial +*/ +static double polyval_q( const double x ) { + return 0.6666666666666735 + (x * (0.2857142874366239 + (x * (0.1818357216161805 + (x * 0.14798198605116586))))); +} + +// END: polyval_q + +/* End auto-generated functions. */ + +/** +* Computes log(x) - (x-1) for x in ~[sqrt(2)/2, sqrt(2)]. +* +* @param x input value +* @return output value +*/ +double klog( const double x ) { + double hfsq; + uint32_t hx; + int32_t i; + int32_t j; + double t1; + double t2; + double f; + double R; + double s; + double z; + double w; + + stdlib_base_float64_get_high_word( x, &hx ); + f = x - 1.0; + if ( ( HIGH_SIGNIFICAND_MASK & ( 2 + hx ) ) < 3 ) { + // Case: -2**-20 <= f < 2**-20 + if ( f == 0.0 ) { + return 0.0; + } + return f * f * ( ( ONE_THIRD * f )- 0.5 ); + } + s = f / ( 2.0 + f ); + z = s * s; + hx &= HIGH_SIGNIFICAND_MASK; + i = ( hx - 0x6147a ); + w = z * z; + j = ( 0x6b851 - hx ); + t1 = w * polyval_p( w ); + t2 = z * polyval_q( w ); + i |= j; + R = t2 + t1; + if ( i > 0 ) { + hfsq = 0.5 * f * f; + return ( s * ( hfsq + R ) ) - hfsq; + } + return s * ( R - f ); +} diff --git a/lib/node_modules/@stdlib/math/base/special/kernel-log/test/fixtures/REQUIRE b/lib/node_modules/@stdlib/math/base/special/kernel-log/test/fixtures/REQUIRE new file mode 100644 index 000000000000..308c3be89c85 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/kernel-log/test/fixtures/REQUIRE @@ -0,0 +1,2 @@ +julia 1.5 +JSON 0.21 diff --git a/lib/node_modules/@stdlib/math/base/special/kernel-log/test/fixtures/data.json b/lib/node_modules/@stdlib/math/base/special/kernel-log/test/fixtures/data.json new file mode 100644 index 000000000000..31ef567d5886 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/kernel-log/test/fixtures/data.json @@ -0,0 +1 @@ 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\ No newline at end of file diff --git a/lib/node_modules/@stdlib/math/base/special/kernel-log/test/fixtures/runner.jl b/lib/node_modules/@stdlib/math/base/special/kernel-log/test/fixtures/runner.jl new file mode 100644 index 000000000000..3504954a15f4 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/kernel-log/test/fixtures/runner.jl @@ -0,0 +1,68 @@ +#!/usr/bin/env julia +# +# @license Apache-2.0 +# +# Copyright (c) 2024 The Stdlib Authors. +# +# Licensed under the Apache License, Version 2.0 (the "License"); +# you may not use this file except in compliance with the License. +# You may obtain a copy of the License at +# +# http://www.apache.org/licenses/LICENSE-2.0 +# +# Unless required by applicable law or agreed to in writing, software +# distributed under the License is distributed on an "AS IS" BASIS, +# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +# See the License for the specific language governing permissions and +# limitations under the License. + +import JSON + +""" + gen( x, filepath ) + +Generate fixture data and write to file. + +# Arguments + +* `x`: domain +* `filepath::AbstractString`: filepath of the output file + +# Examples + +``` julia +julia> x = range( 0, stop = 1000, length = 2001 ); +julia> gen( x, \"./data.json\" ); +``` +""" +function gen( x, filepath ) + y = Array{Float64}( undef, length(x) ); + for i in eachindex(x) + y[ i ] = log( x[ i ] ); + end + + data = Dict([ + ("x", x), + ("expected", y) + ]); + + outfile = open( filepath, "w" ); + write( outfile, JSON.json(data) ); + close( outfile ); +end + +# Get the filename: +file = @__FILE__; + +# Extract the directory in which this file resides: +dir = dirname( file ); + +# Generate fixture data for decimal values: +x = range( 0.7071067811865476, stop = 1.4142135623730951 , length = 1003 ); +out = joinpath( dir, "data.json" ); +gen( x, out ); + +# Tiny positive values: +x = range( 0.9999990463256836, stop = 1.0000009536743164 , length = 1003 ); +out = joinpath( dir, "tiny.json" ); +gen( x, out ); diff --git a/lib/node_modules/@stdlib/math/base/special/kernel-log/test/fixtures/tiny.json b/lib/node_modules/@stdlib/math/base/special/kernel-log/test/fixtures/tiny.json new file mode 100644 index 000000000000..ac2d26c55e2c --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/kernel-log/test/fixtures/tiny.json @@ -0,0 +1 @@ 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\ No newline at end of file diff --git a/lib/node_modules/@stdlib/math/base/special/kernel-log/test/test.js b/lib/node_modules/@stdlib/math/base/special/kernel-log/test/test.js new file mode 100644 index 000000000000..79468e4889ff --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/kernel-log/test/test.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 tape = require( 'tape' ); +var abs = require( '@stdlib/math/base/special/abs' ); +var EPS = require( '@stdlib/constants/float64/eps' ); +var kernelLog = require( './../lib' ); + + +// FIXTURES // + +var data = require( './fixtures/data.json' ); +var tiny = require( './fixtures/tiny.json' ); + + +// TESTS // + +tape( 'main export is a function', function test( t ) { + t.ok( true, __filename ); + t.strictEqual( typeof kernelLog, 'function', 'main export is a function' ); + t.end(); +}); + +tape( 'the function returns `0.0` if provided `x = 1`', function test( t ) { + var y = kernelLog( 1.0 ); + t.equal( y, 0.0, 'returns 0.0' ); + t.end(); +}); + +tape( 'the function correctly computes `log(x) - (x-1)` for `x` satisfying `sqrt( 2 ) / 2 <= x < sqrt( 2 )`', function test( t ) { + var expected; + var delta; + var tol; + var x; + var y; + var i; + var e; + + x = data.x; + expected = data.expected; + + for ( i = 0; i < x.length; i++ ) { + y = kernelLog( x[ i ] ); + e = expected[ i ] - ( x[ i ] - 1 ); + if ( y === e ) { + t.equal( y, e, 'x: '+x[ i ]+'. E: '+e ); + } else { + delta = abs( y - e ); + tol = 1e5 * EPS * abs( e ); + t.ok( delta <= tol, 'within tolerance. x: '+x[ i ]+'. y: '+y+'. E: '+e+'. tol: '+tol+'. Δ: '+delta+'.' ); + } + } + t.end(); +}); + +tape( 'the function correctly computes `log(x) - (x-1)` for `x` satisfying `-2^-20 <= x - 1 < 2^-20`', function test( t ) { + var expected; + var delta; + var tol; + var x; + var y; + var i; + var e; + + x = tiny.x; + expected = tiny.expected; + + for ( i = 0; i < x.length; i++ ) { + y = kernelLog( x[ i ] ); + e = expected[ i ] - ( x[ i ] - 1 ); + if ( y === e ) { + t.equal( y, e, 'x: '+x[ i ]+'. E: '+e ); + } else { + delta = abs( y - e ); + tol = 1e8 * EPS * abs( e ); + t.ok( delta <= tol, 'within tolerance. x: '+x[ i ]+'. y: '+y+'. E: '+e+'. tol: '+tol+'. Δ: '+delta+'.' ); + } + } + t.end(); +}); diff --git a/lib/node_modules/@stdlib/math/base/special/kernel-log/test/test.native.js b/lib/node_modules/@stdlib/math/base/special/kernel-log/test/test.native.js new file mode 100644 index 000000000000..8c45ff190cbd --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/kernel-log/test/test.native.js @@ -0,0 +1,108 @@ +/** +* @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 EPS = require( '@stdlib/constants/float64/eps' ); +var tryRequire = require( '@stdlib/utils/try-require' ); + + +// FIXTURES // + +var data = require( './fixtures/data.json' ); +var tiny = require( './fixtures/tiny.json' ); + + +// VARIABLES // + +var kernelLog = tryRequire( resolve( __dirname, './../lib/native.js' ) ); +var opts = { + 'skip': ( kernelLog instanceof Error ) +}; + + +// TESTS // + +tape( 'main export is a function', opts, function test( t ) { + t.ok( true, __filename ); + t.strictEqual( typeof kernelLog, 'function', 'main export is a function' ); + t.end(); +}); + +tape( 'the function returns `0.0` if provided `x = 1`', opts, function test( t ) { + var y = kernelLog( 1.0 ); + t.equal( y, 0.0, 'returns 0.0' ); + t.end(); +}); + +tape( 'the function correctly computes `log(x) - (x-1)` for `x` satisfying `sqrt( 2 ) / 2 <= x < sqrt( 2 )`', opts, function test( t ) { + var expected; + var delta; + var tol; + var x; + var y; + var i; + var e; + + x = data.x; + expected = data.expected; + + for ( i = 0; i < x.length; i++ ) { + y = kernelLog( x[ i ] ); + e = expected[ i ] - ( x[ i ] - 1 ); + if ( y === e ) { + t.equal( y, e, 'x: '+x[ i ]+'. E: '+e ); + } else { + delta = abs( y - e ); + tol = 1e5 * EPS * abs( e ); + t.ok( delta <= tol, 'within tolerance. x: '+x[ i ]+'. y: '+y+'. E: '+e+'. tol: '+tol+'. Δ: '+delta+'.' ); + } + } + t.end(); +}); + +tape( 'the function correctly computes `log(x) - (x-1)` for `x` satisfying `-2^-20 <= x - 1 < 2^-20`', opts, function test( t ) { + var expected; + var delta; + var tol; + var x; + var y; + var i; + var e; + + x = tiny.x; + expected = tiny.expected; + + for ( i = 0; i < x.length; i++ ) { + y = kernelLog( x[ i ] ); + e = expected[ i ] - ( x[ i ] - 1 ); + if ( y === e ) { + t.equal( y, e, 'x: '+x[ i ]+'. E: '+e ); + } else { + delta = abs( y - e ); + tol = 1e8 * EPS * abs( e ); + t.ok( delta <= tol, 'within tolerance. x: '+x[ i ]+'. y: '+y+'. E: '+e+'. tol: '+tol+'. Δ: '+delta+'.' ); + } + } + t.end(); +}); From fa277ff6d2ce7b296a04bb67cd9831b6d8771ced Mon Sep 17 00:00:00 2001 From: GUNJ JOSHI Date: Mon, 8 Apr 2024 22:46:04 +0530 Subject: [PATCH 02/13] feat: add math/base/special/kernel-log --- .../base/special/kernel-log/benchmark/benchmark.js | 2 +- .../kernel-log/benchmark/benchmark.native.js | 2 +- .../special/kernel-log/benchmark/c/benchmark.c | 2 +- .../math/base/special/kernel-log/docs/repl.txt | 2 -- .../base/special/kernel-log/examples/c/example.c | 14 ++++++-------- 5 files changed, 9 insertions(+), 13 deletions(-) diff --git a/lib/node_modules/@stdlib/math/base/special/kernel-log/benchmark/benchmark.js b/lib/node_modules/@stdlib/math/base/special/kernel-log/benchmark/benchmark.js index 65f1b7ebf586..8da3fb04a8e7 100644 --- a/lib/node_modules/@stdlib/math/base/special/kernel-log/benchmark/benchmark.js +++ b/lib/node_modules/@stdlib/math/base/special/kernel-log/benchmark/benchmark.js @@ -37,7 +37,7 @@ bench( pkg, function benchmark( b ) { b.tic(); for ( i = 0; i < b.iterations; i++ ) { - x = randu() * 2.0 * ( sqrt( 2.0 ) / 2.0 ); + x = ( randu() + 1.0 ) * sqrt( 2.0 ) / 2.0; y = kernelLog( x ); if ( isnan( y ) ) { b.fail( 'should not return NaN' ); diff --git a/lib/node_modules/@stdlib/math/base/special/kernel-log/benchmark/benchmark.native.js b/lib/node_modules/@stdlib/math/base/special/kernel-log/benchmark/benchmark.native.js index a00247733eb3..e4ff035b5667 100644 --- a/lib/node_modules/@stdlib/math/base/special/kernel-log/benchmark/benchmark.native.js +++ b/lib/node_modules/@stdlib/math/base/special/kernel-log/benchmark/benchmark.native.js @@ -46,7 +46,7 @@ bench( pkg+'::native', opts, function benchmark( b ) { b.tic(); for ( i = 0; i < b.iterations; i++ ) { - x = randu() * 2.0 * ( sqrt( 2.0 ) / 2.0 ); + x = ( randu() + 1.0 ) * sqrt( 2.0 ) / 2.0; y = kernelLog( x ); if ( isnan( y ) ) { b.fail( 'should not return NaN' ); diff --git a/lib/node_modules/@stdlib/math/base/special/kernel-log/benchmark/c/benchmark.c b/lib/node_modules/@stdlib/math/base/special/kernel-log/benchmark/c/benchmark.c index a2353278ff17..e083c1c7e602 100644 --- a/lib/node_modules/@stdlib/math/base/special/kernel-log/benchmark/c/benchmark.c +++ b/lib/node_modules/@stdlib/math/base/special/kernel-log/benchmark/c/benchmark.c @@ -101,7 +101,7 @@ double benchmark() { t = tic(); for ( i = 0; i < ITERATIONS; i++ ) { - x = 2.0 * rand_double() * 0.7071067811865476; + x = ( rand_double() + 1.0 ) * 0.7071067811865476; z = stdlib_base_kernel_log( x ); if ( z != z ) { printf( "should not return NaN\n" ); diff --git a/lib/node_modules/@stdlib/math/base/special/kernel-log/docs/repl.txt b/lib/node_modules/@stdlib/math/base/special/kernel-log/docs/repl.txt index faa12be2bc1a..40f2c1a44142 100644 --- a/lib/node_modules/@stdlib/math/base/special/kernel-log/docs/repl.txt +++ b/lib/node_modules/@stdlib/math/base/special/kernel-log/docs/repl.txt @@ -2,8 +2,6 @@ {{alias}}( x, y ) Computes log(x) - (x-1) for x in ~[sqrt(2)/2, sqrt(2)]. - If the argument is `NaN`, the function returns `NaN`. - Parameters ---------- x: number diff --git a/lib/node_modules/@stdlib/math/base/special/kernel-log/examples/c/example.c b/lib/node_modules/@stdlib/math/base/special/kernel-log/examples/c/example.c index c5777b4b104d..c9b63f875ed8 100644 --- a/lib/node_modules/@stdlib/math/base/special/kernel-log/examples/c/example.c +++ b/lib/node_modules/@stdlib/math/base/special/kernel-log/examples/c/example.c @@ -18,17 +18,15 @@ #include "stdlib/math/base/special/kernel_log.h" -#include #include int main( void ) { - double x; - double v; - int i; + const double x[] = { 0.7071067811865476, 0.7856742013183862, 0.8642416214502249, 0.9428090415820635, 1.021376461713902, 1.0999438818457405, 1.1785113019775793, 1.257078722109418, 1.3356461422412567, 1.4142135623730951 }; - for ( i = 0; i < 100; i++ ) { - x = 2.0 * (double)rand() * 0.7071067811865475; - v = stdlib_base_kernel_log( x ); - printf( "kernelLog(%lf) = %lf\n", x, v ); + double out; + int i; + for ( i = 0; i < 10; i++ ) { + out = stdlib_base_kernel_log( x[ i ] ); + printf ( "x[ i ]: %lf, out: %lf\n", x[ i ], out ); } } From ab7a10c4a9a4c606c2cdc410e508623151eb513e Mon Sep 17 00:00:00 2001 From: GUNJ JOSHI Date: Mon, 8 Apr 2024 23:41:24 +0530 Subject: [PATCH 03/13] feat: add math/base/special/kernel-log --- .../math/base/special/kernel-log/README.md | 14 ++++++------- .../stdlib/math/base/special/kernel_log.h | 2 ++ .../math/base/special/kernel-log/lib/main.js | 2 +- .../base/special/kernel-log/lib/native.js | 2 +- .../math/base/special/kernel-log/package.json | 2 +- .../math/base/special/kernel-log/src/main.c | 11 +++++++--- .../math/base/special/kernel-log/test/test.js | 9 +++++++- .../special/kernel-log/test/test.native.js | 21 ++++++++++++------- 8 files changed, 41 insertions(+), 22 deletions(-) diff --git a/lib/node_modules/@stdlib/math/base/special/kernel-log/README.md b/lib/node_modules/@stdlib/math/base/special/kernel-log/README.md index e3ce780e8f1c..5d9e0ea25ade 100644 --- a/lib/node_modules/@stdlib/math/base/special/kernel-log/README.md +++ b/lib/node_modules/@stdlib/math/base/special/kernel-log/README.md @@ -138,18 +138,16 @@ double stdlib_base_kernel_log( const double x ); ```c #include "stdlib/math/base/special/kernel_log.h" -#include #include int main( void ) { - double x; - double v; - int i; + const double x[] = { 0.7071067811865476, 0.7856742013183862, 0.8642416214502249, 0.9428090415820635, 1.021376461713902, 1.0999438818457405, 1.1785113019775793, 1.257078722109418, 1.3356461422412567, 1.4142135623730951 }; - for ( i = 0; i < 100; i++ ) { - x = 2.0 * (double)rand() * 0.7071067811865475; - v = stdlib_base_kernel_log( x ); - printf( "kernelLog(%lf) = %lf\n", x, v ); + double out; + int i; + for ( i = 0; i < 10; i++ ) { + out = stdlib_base_kernel_log( x[ i ] ); + printf ( "x[ i ]: %lf, out: %lf\n", x[ i ], out ); } } ``` diff --git a/lib/node_modules/@stdlib/math/base/special/kernel-log/include/stdlib/math/base/special/kernel_log.h b/lib/node_modules/@stdlib/math/base/special/kernel-log/include/stdlib/math/base/special/kernel_log.h index 62a26f2e4aaf..040a6a24e04b 100644 --- a/lib/node_modules/@stdlib/math/base/special/kernel-log/include/stdlib/math/base/special/kernel_log.h +++ b/lib/node_modules/@stdlib/math/base/special/kernel-log/include/stdlib/math/base/special/kernel_log.h @@ -19,6 +19,8 @@ #ifndef STDLIB_MATH_BASE_SPECIAL_KERNEL_LOG_H #define STDLIB_MATH_BASE_SPECIAL_KERNEL_LOG_H +#include + /* * If C++, prevent name mangling so that the compiler emits a binary file having undecorated names, thus mirroring the behavior of a C compiler. */ diff --git a/lib/node_modules/@stdlib/math/base/special/kernel-log/lib/main.js b/lib/node_modules/@stdlib/math/base/special/kernel-log/lib/main.js index b1044cd7ca71..b7462b23d2f2 100644 --- a/lib/node_modules/@stdlib/math/base/special/kernel-log/lib/main.js +++ b/lib/node_modules/@stdlib/math/base/special/kernel-log/lib/main.js @@ -63,7 +63,7 @@ var ONE_THIRD = 0.33333333333333333; * @example * var sqrt = require( '@stdlib/math/base/special/sqrt' ); * -* v = kernelLog( sqrt( 2.0 ) ); +* var v = kernelLog( sqrt( 2.0 ) ); * // returns ~-0.0676 * * @example diff --git a/lib/node_modules/@stdlib/math/base/special/kernel-log/lib/native.js b/lib/node_modules/@stdlib/math/base/special/kernel-log/lib/native.js index f53afd8e8479..2b0e1dab29fa 100644 --- a/lib/node_modules/@stdlib/math/base/special/kernel-log/lib/native.js +++ b/lib/node_modules/@stdlib/math/base/special/kernel-log/lib/native.js @@ -39,7 +39,7 @@ var addon = require( './../src/addon.node' ); * @example * var sqrt = require( '@stdlib/math/base/special/sqrt' ); * -* v = kernelLog( sqrt( 2.0 ) ); +* var v = kernelLog( sqrt( 2.0 ) ); * // returns ~-0.0676 * * @example diff --git a/lib/node_modules/@stdlib/math/base/special/kernel-log/package.json b/lib/node_modules/@stdlib/math/base/special/kernel-log/package.json index c941bd42026a..5b39c4ade781 100644 --- a/lib/node_modules/@stdlib/math/base/special/kernel-log/package.json +++ b/lib/node_modules/@stdlib/math/base/special/kernel-log/package.json @@ -1,7 +1,7 @@ { "name": "@stdlib/math/base/special/kernel-log", "version": "0.0.0", - "description": "Compute the sine of a double-precision floating-point number on [-π/4, π/4].", + "description": "Compute log(x) - (x-1) for x in ~[sqrt(2)/2, sqrt(2)].", "license": "Apache-2.0", "author": { "name": "The Stdlib Authors", diff --git a/lib/node_modules/@stdlib/math/base/special/kernel-log/src/main.c b/lib/node_modules/@stdlib/math/base/special/kernel-log/src/main.c index dadb60f4748f..5505df988619 100644 --- a/lib/node_modules/@stdlib/math/base/special/kernel-log/src/main.c +++ b/lib/node_modules/@stdlib/math/base/special/kernel-log/src/main.c @@ -15,9 +15,10 @@ * See the License for the specific language governing permissions and * limitations under the License. * +* * ## Notice * -* The following copyright, license, and long comment were part of the original implementation available as part of [FreeBSD]{@link https://svnweb.freebsd.org/base/release/9.3.0/lib/msun/src/k_sin.c}. The implementation follows the original, but has been modified according to project conventions. +* The following copyright, license, and long comment were part of the original implementation available as part of [FreeBSD]{@link https://svnweb.freebsd.org/base/release/9.3.0/lib/msun/src/k_log.c}. The implementation follows the original, but has been modified according to project conventions. * * ```text * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. @@ -85,12 +86,16 @@ static double polyval_q( const double x ) { /* End auto-generated functions. */ /** -* Computes log(x) - (x-1) for x in ~[sqrt(2)/2, sqrt(2)]. +* Computes `log(x) - (x-1)` for `x` in `~[sqrt(2)/2, sqrt(2)]`. * * @param x input value * @return output value +* +* @example +* double out = stdlib_base_kernel_log( 1.0 ); +* // returns 0.0 */ -double klog( const double x ) { +double stdlib_base_kernel_log( const double x ) { double hfsq; uint32_t hx; int32_t i; diff --git a/lib/node_modules/@stdlib/math/base/special/kernel-log/test/test.js b/lib/node_modules/@stdlib/math/base/special/kernel-log/test/test.js index 79468e4889ff..d0e44745aef8 100644 --- a/lib/node_modules/@stdlib/math/base/special/kernel-log/test/test.js +++ b/lib/node_modules/@stdlib/math/base/special/kernel-log/test/test.js @@ -21,6 +21,7 @@ // MODULES // var tape = require( 'tape' ); +var isnan = require( '@stdlib/math/base/assert/is-nan' ); var abs = require( '@stdlib/math/base/special/abs' ); var EPS = require( '@stdlib/constants/float64/eps' ); var kernelLog = require( './../lib' ); @@ -40,7 +41,13 @@ tape( 'main export is a function', function test( t ) { t.end(); }); -tape( 'the function returns `0.0` if provided `x = 1`', function test( t ) { +tape( 'the function returns `NaN` if provided `NaN`', function test( t ) { + var v = kernelLog( NaN ); + t.equal( isnan( v ), true, 'returns expected value' ); + t.end(); +}); + +tape( 'the function returns `0.0` if provided `x = 1.0`', function test( t ) { var y = kernelLog( 1.0 ); t.equal( y, 0.0, 'returns 0.0' ); t.end(); diff --git a/lib/node_modules/@stdlib/math/base/special/kernel-log/test/test.native.js b/lib/node_modules/@stdlib/math/base/special/kernel-log/test/test.native.js index 8c45ff190cbd..1f3979f06842 100644 --- a/lib/node_modules/@stdlib/math/base/special/kernel-log/test/test.native.js +++ b/lib/node_modules/@stdlib/math/base/special/kernel-log/test/test.native.js @@ -22,17 +22,12 @@ var resolve = require( 'path' ).resolve; var tape = require( 'tape' ); +var isnan = require( '@stdlib/math/base/assert/is-nan' ); var abs = require( '@stdlib/math/base/special/abs' ); var EPS = require( '@stdlib/constants/float64/eps' ); var tryRequire = require( '@stdlib/utils/try-require' ); -// FIXTURES // - -var data = require( './fixtures/data.json' ); -var tiny = require( './fixtures/tiny.json' ); - - // VARIABLES // var kernelLog = tryRequire( resolve( __dirname, './../lib/native.js' ) ); @@ -41,6 +36,12 @@ var opts = { }; +// FIXTURES // + +var data = require( './fixtures/data.json' ); +var tiny = require( './fixtures/tiny.json' ); + + // TESTS // tape( 'main export is a function', opts, function test( t ) { @@ -49,7 +50,13 @@ tape( 'main export is a function', opts, function test( t ) { t.end(); }); -tape( 'the function returns `0.0` if provided `x = 1`', opts, function test( t ) { +tape( 'the function returns `NaN` if provided `NaN`', opts, function test( t ) { + var v = kernelLog( NaN ); + t.equal( isnan( v ), true, 'returns expected value' ); + t.end(); +}); + +tape( 'the function returns `0.0` if provided `x = 1.0`', opts, function test( t ) { var y = kernelLog( 1.0 ); t.equal( y, 0.0, 'returns 0.0' ); t.end(); From 726829898d50ba87df6384293bbf4e5de2056600 Mon Sep 17 00:00:00 2001 From: Athan Reines Date: Mon, 8 Apr 2024 12:51:19 -0700 Subject: [PATCH 04/13] bench: inline computed value --- .../math/base/special/kernel-log/benchmark/benchmark.js | 3 +-- .../math/base/special/kernel-log/benchmark/benchmark.native.js | 3 +-- 2 files changed, 2 insertions(+), 4 deletions(-) diff --git a/lib/node_modules/@stdlib/math/base/special/kernel-log/benchmark/benchmark.js b/lib/node_modules/@stdlib/math/base/special/kernel-log/benchmark/benchmark.js index 8da3fb04a8e7..e4e113ee8cdc 100644 --- a/lib/node_modules/@stdlib/math/base/special/kernel-log/benchmark/benchmark.js +++ b/lib/node_modules/@stdlib/math/base/special/kernel-log/benchmark/benchmark.js @@ -23,7 +23,6 @@ var bench = require( '@stdlib/bench' ); var randu = require( '@stdlib/random/base/randu' ); var isnan = require( '@stdlib/math/base/assert/is-nan' ); -var sqrt = require( '@stdlib/math/base/special/sqrt' ); var pkg = require( './../package.json' ).name; var kernelLog = require( './../lib' ); @@ -37,7 +36,7 @@ bench( pkg, function benchmark( b ) { b.tic(); for ( i = 0; i < b.iterations; i++ ) { - x = ( randu() + 1.0 ) * sqrt( 2.0 ) / 2.0; + x = ( randu() + 1.0 ) * 0.7071067811865476; y = kernelLog( x ); if ( isnan( y ) ) { b.fail( 'should not return NaN' ); diff --git a/lib/node_modules/@stdlib/math/base/special/kernel-log/benchmark/benchmark.native.js b/lib/node_modules/@stdlib/math/base/special/kernel-log/benchmark/benchmark.native.js index e4ff035b5667..f2749bcdbb15 100644 --- a/lib/node_modules/@stdlib/math/base/special/kernel-log/benchmark/benchmark.native.js +++ b/lib/node_modules/@stdlib/math/base/special/kernel-log/benchmark/benchmark.native.js @@ -24,7 +24,6 @@ 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 sqrt = require( '@stdlib/math/base/special/sqrt' ); var tryRequire = require( '@stdlib/utils/try-require' ); var pkg = require( './../package.json' ).name; @@ -46,7 +45,7 @@ bench( pkg+'::native', opts, function benchmark( b ) { b.tic(); for ( i = 0; i < b.iterations; i++ ) { - x = ( randu() + 1.0 ) * sqrt( 2.0 ) / 2.0; + x = ( randu() + 1.0 ) * 0.7071067811865476; y = kernelLog( x ); if ( isnan( y ) ) { b.fail( 'should not return NaN' ); From 2ce1efafdc68af5a00ec5f89ff62b5a8753d6df0 Mon Sep 17 00:00:00 2001 From: Athan Reines Date: Mon, 8 Apr 2024 12:53:45 -0700 Subject: [PATCH 05/13] fix: update signature and tests --- .../special/kernel-log/docs/types/index.d.ts | 2 +- .../special/kernel-log/docs/types/test.ts | 33 ++++++------------- 2 files changed, 11 insertions(+), 24 deletions(-) diff --git a/lib/node_modules/@stdlib/math/base/special/kernel-log/docs/types/index.d.ts b/lib/node_modules/@stdlib/math/base/special/kernel-log/docs/types/index.d.ts index 64934d1e56cb..5a00915ad5ed 100644 --- a/lib/node_modules/@stdlib/math/base/special/kernel-log/docs/types/index.d.ts +++ b/lib/node_modules/@stdlib/math/base/special/kernel-log/docs/types/index.d.ts @@ -38,7 +38,7 @@ * var v = kernelLog( NaN ); * // returns NaN */ -declare function kernelLog( x: number, y: number ): number; +declare function kernelLog( x: number ): number; // EXPORTS // diff --git a/lib/node_modules/@stdlib/math/base/special/kernel-log/docs/types/test.ts b/lib/node_modules/@stdlib/math/base/special/kernel-log/docs/types/test.ts index 1de0001fb426..386b8323e92f 100644 --- a/lib/node_modules/@stdlib/math/base/special/kernel-log/docs/types/test.ts +++ b/lib/node_modules/@stdlib/math/base/special/kernel-log/docs/types/test.ts @@ -23,34 +23,21 @@ import kernelLog = require( './index' ); // The function returns a number... { - kernelLog( 0.5, 0.2 ); // $ExpectType number + kernelLog( 0.5 ); // $ExpectType number } -// The compiler throws an error if the function is provided values other than two numbers... +// The compiler throws an error if the function is not provided a number... { - kernelLog( true, 3 ); // $ExpectError - kernelLog( false, 2 ); // $ExpectError - kernelLog( '5', 1 ); // $ExpectError - kernelLog( [], 1 ); // $ExpectError - kernelLog( {}, 2 ); // $ExpectError - kernelLog( ( x: number ): number => x, 2 ); // $ExpectError - - kernelLog( 9, true ); // $ExpectError - kernelLog( 9, false ); // $ExpectError - kernelLog( 5, '5' ); // $ExpectError - kernelLog( 8, [] ); // $ExpectError - kernelLog( 9, {} ); // $ExpectError - kernelLog( 8, ( x: number ): number => x ); // $ExpectError - - kernelLog( [], true ); // $ExpectError - kernelLog( {}, false ); // $ExpectError - kernelLog( false, '5' ); // $ExpectError - kernelLog( {}, [] ); // $ExpectError - kernelLog( '5', ( x: number ): number => x ); // $ExpectError + kernelLog( true ); // $ExpectError + kernelLog( false ); // $ExpectError + kernelLog( '5' ); // $ExpectError + kernelLog( [] ); // $ExpectError + kernelLog( {} ); // $ExpectError + kernelLog( ( x: number ): number => x ); // $ExpectError } -// The compiler throws an error if the function is provided insufficient arguments... +// The compiler throws an error if the function is provided an unsupported number of arguments... { kernelLog(); // $ExpectError - kernelLog( 0 ); // $ExpectError + kernelLog( 0, 2 ); // $ExpectError } From c04be3a3122ec32afae8ee6b14414ed735b11075 Mon Sep 17 00:00:00 2001 From: Athan Reines Date: Mon, 8 Apr 2024 12:56:41 -0700 Subject: [PATCH 06/13] docs: reduce number of decimals Extra precision is not needed for example values. --- .../@stdlib/math/base/special/kernel-log/README.md | 2 +- .../@stdlib/math/base/special/kernel-log/examples/c/example.c | 3 +-- 2 files changed, 2 insertions(+), 3 deletions(-) diff --git a/lib/node_modules/@stdlib/math/base/special/kernel-log/README.md b/lib/node_modules/@stdlib/math/base/special/kernel-log/README.md index 5d9e0ea25ade..6a9afc2e055e 100644 --- a/lib/node_modules/@stdlib/math/base/special/kernel-log/README.md +++ b/lib/node_modules/@stdlib/math/base/special/kernel-log/README.md @@ -141,7 +141,7 @@ double stdlib_base_kernel_log( const double x ); #include int main( void ) { - const double x[] = { 0.7071067811865476, 0.7856742013183862, 0.8642416214502249, 0.9428090415820635, 1.021376461713902, 1.0999438818457405, 1.1785113019775793, 1.257078722109418, 1.3356461422412567, 1.4142135623730951 }; + const double x[] = { 0.7071, 0.7856, 0.8642, 0.9428, 1.0213, 1.0999, 1.1785, 1.2570, 1.3356, 1.4142 }; double out; int i; diff --git a/lib/node_modules/@stdlib/math/base/special/kernel-log/examples/c/example.c b/lib/node_modules/@stdlib/math/base/special/kernel-log/examples/c/example.c index c9b63f875ed8..c638157f893b 100644 --- a/lib/node_modules/@stdlib/math/base/special/kernel-log/examples/c/example.c +++ b/lib/node_modules/@stdlib/math/base/special/kernel-log/examples/c/example.c @@ -16,12 +16,11 @@ * limitations under the License. */ - #include "stdlib/math/base/special/kernel_log.h" #include int main( void ) { - const double x[] = { 0.7071067811865476, 0.7856742013183862, 0.8642416214502249, 0.9428090415820635, 1.021376461713902, 1.0999438818457405, 1.1785113019775793, 1.257078722109418, 1.3356461422412567, 1.4142135623730951 }; + const double x[] = { 0.7071, 0.7856, 0.8642, 0.9428, 1.0213, 1.0999, 1.1785, 1.2570, 1.3356, 1.4142 }; double out; int i; From b791c55592e5a150db6c70c6643b6eddbaba8b88 Mon Sep 17 00:00:00 2001 From: Athan Reines Date: Tue, 9 Apr 2024 01:32:15 -0700 Subject: [PATCH 07/13] docs: add extended comment --- .../math/base/special/kernel-log/lib/main.js | 100 ++++++++++++++-- .../math/base/special/kernel-log/src/main.c | 109 ++++++++++++++++-- 2 files changed, 191 insertions(+), 18 deletions(-) diff --git a/lib/node_modules/@stdlib/math/base/special/kernel-log/lib/main.js b/lib/node_modules/@stdlib/math/base/special/kernel-log/lib/main.js index b7462b23d2f2..737a804a4438 100644 --- a/lib/node_modules/@stdlib/math/base/special/kernel-log/lib/main.js +++ b/lib/node_modules/@stdlib/math/base/special/kernel-log/lib/main.js @@ -35,15 +35,13 @@ // MODULES // var getHighWord = require( '@stdlib/number/float64/base/get-high-word' ); +var HIGH_SIGNIFICAND_MASK = require( '@stdlib/constants/float64/high-word-significand-mask' ); var polyvalP = require( './polyval_p.js' ); var polyvalQ = require( './polyval_q.js' ); // VARIABLES // -// 0x000fffff = 1048575 => 0 00000000000 11111111111111111111 -var HIGH_SIGNIFICAND_MASK = 0x000fffff|0; // asm type annotation - // 1/3 var ONE_THIRD = 0.33333333333333333; @@ -53,6 +51,94 @@ var ONE_THIRD = 0.33333333333333333; /** * Computes `log(x) - (x-1)` for `x` in `~[sqrt(2)/2, sqrt(2)]`. * +* ## Method +* +* The following describes the overall strategy for computing logarithms in base \\(e\\). The argument reduction and adding the final term of the polynomial are done by the caller for increased accuracy when different bases are used. +* +* 1. Argument Reduction. Find \\(k\\) and \\(f\\) such that +* +* ```tex +* x = 2^k \cdot (1+f) +* ``` +* +* where \\(\sqrt(2)/2 < 1+f < \sqrt(2)\\). +* +* 2. Approximation of \\(\operatorname{log}(1+f)\\). Let +* +* ```tex +* s = \frac{f}{2+f} +* ``` +* +* based on +* +* ```tex +* \begin{align*} +* \operatorname{log}(1+f) &= \operatorname{log}(1+s) - \operatorname{log}(1-s) \\ +* &= 2s + \frac{2}{3} s^3 + \frac{2}{5} s^5 + \ldots \\ +* &= 2s + s R +* \end{align*} +* ``` +* +* We use a special Reme algorithm on \\(\[0,0.1716]\\) to generate a polynomial of degree \\(14\\) to approximate \\(R\\) The maximum error of this polynomial approximation is bounded by \\(2^{-58.45}\\). In other words, +* +* ```tex +* R(z) \approx L_{g1} s^2 + L_{g2} s^4 + L_{g3} s^6 + L_{g4} s^8 + L_{g5} s^{10} + L_{g6} s^{12} + L_{g7} s^{14} +* ``` +* +* where the values of \\(L_{g1}\\) to \\(L_{g7}\\) are the polynomial coefficients used in the program below and +* +* ```tex +* L_{g1} s^2 + \ldots + L_{g7} s^{14} - R(z) \leq 2^{-58.45} +* ``` +* +* Note that +* +* ```tex +* 2s = f - s \cdot f = f - h_{fsq} + (s \cdot h_{fsq}) +* ``` +* +* where \\(h_{fsq} = f^{2}/2\\). +* +* In order to guarantee an error in \\(\operatorname{log}\\) below 1 ulp, we compute \\(\operatorname{log}\\) by +* +* ```tex +* \begin{align*} +* \operatorname{log}(1+f) &= f - s (f - R) & \textrm{(if f is not too large)} \\ +* \operatorname{log}(1+f) &= f - (h_{fsq} - s (h_{fsq}+R)) & \textrm{(better accuracy)} +* \end{align*} +* +* 3. Finally, +* +* ```tex +* \begin{align*} +* \operatorname{log}(x) &= k \cdot \operatorname{ln2} + \operatorname{log}(1+f) \\ +* &= k \cdot \operatorname{ln2}_{hi} + (f-(h_{fsq}-(s \cdot (h_{fsq}+R) + k \cdot \operatorname{ln2}_{lo}))) +* \end{align*} +* ``` +* +* Here, \\(\operatorname{ln2}\\) is split into two floating point numbers: +* +* ```tex +* \operatorname{ln2} = \operatorname{ln2}_{hi} + \operatorname{ln2}_{lo} +* ``` +* +* where \\(n \cdot \operatorname{ln2}_{hi}\\) is always exact for \\(|n| < 2000\\). +* +* ## Special Cases +* +* ```tex +* \begin{align*} +* \operatorname{log}(x < 0) &= \mathrm{NaN} \\ +* \operatorname{log}(\infty) &= \infty \\ +* \operatorname{log}(0) &= -\infty \\ +* \operatorname{log}(\mathrm{NaN}) &= \mathrm{NaN} +* \end{align*} +* ``` +* +* ## Notes +* +* - According to an error analysis, the error is always less than 1 ulp (unit in the last place). +* * @param {number} x - input value * @returns {number} function value * @@ -85,12 +171,12 @@ function kernelLog( x ) { hx = getHighWord( x ); f = x - 1.0; - if ( ( HIGH_SIGNIFICAND_MASK & ( 2 + hx ) ) < 3 ) { + if ( ( HIGH_SIGNIFICAND_MASK & (2+hx) ) < 3 ) { // Case: -2**-20 <= f < 2**-20 if ( f === 0.0 ) { return 0.0; } - return f * f * ( ( ONE_THIRD * f )- 0.5 ); + return f * f * ( (ONE_THIRD*f) - 0.5 ); } s = f / ( 2.0 + f ); z = s * s; @@ -104,9 +190,9 @@ function kernelLog( x ) { R = t2 + t1; if ( i > 0 ) { hfsq = 0.5 * f * f; - return ( s * ( hfsq + R ) ) - hfsq; + return ( s * (hfsq+R) ) - hfsq; } - return s * ( R - f ); + return s * (R-f); } diff --git a/lib/node_modules/@stdlib/math/base/special/kernel-log/src/main.c b/lib/node_modules/@stdlib/math/base/special/kernel-log/src/main.c index 5505df988619..ba48dd4e1cea 100644 --- a/lib/node_modules/@stdlib/math/base/special/kernel-log/src/main.c +++ b/lib/node_modules/@stdlib/math/base/special/kernel-log/src/main.c @@ -33,14 +33,11 @@ #include "stdlib/math/base/special/kernel_log.h" #include "stdlib/number/float64/base/get_high_word.h" #include "stdlib/constants/float64/high_word_significand_mask.h" -#include +#include // 1/3 static const double ONE_THIRD = 0.33333333333333333; -// 0x000fffff = 1048575 => 0 00000000000 11111111111111111111 -static const int32_t HIGH_SIGNIFICAND_MASK = 0x000fffff; - /* Begin auto-generated functions. The following functions are auto-generated. Do not edit directly. */ // BEGIN: polyval_p @@ -88,6 +85,94 @@ static double polyval_q( const double x ) { /** * Computes `log(x) - (x-1)` for `x` in `~[sqrt(2)/2, sqrt(2)]`. * +* ## Method +* +* The following describes the overall strategy for computing logarithms in base \\(e\\). The argument reduction and adding the final term of the polynomial are done by the caller for increased accuracy when different bases are used. +* +* 1. Argument Reduction. Find \\(k\\) and \\(f\\) such that +* +* ```tex +* x = 2^k \cdot (1+f) +* ``` +* +* where \\(\sqrt(2)/2 < 1+f < \sqrt(2)\\). +* +* 2. Approximation of \\(\operatorname{log}(1+f)\\). Let +* +* ```tex +* s = \frac{f}{2+f} +* ``` +* +* based on +* +* ```tex +* \begin{align*} +* \operatorname{log}(1+f) &= \operatorname{log}(1+s) - \operatorname{log}(1-s) \\ +* &= 2s + \frac{2}{3} s^3 + \frac{2}{5} s^5 + \ldots \\ +* &= 2s + s R +* \end{align*} +* ``` +* +* We use a special Reme algorithm on \\(\[0,0.1716]\\) to generate a polynomial of degree \\(14\\) to approximate \\(R\\) The maximum error of this polynomial approximation is bounded by \\(2^{-58.45}\\). In other words, +* +* ```tex +* R(z) \approx L_{g1} s^2 + L_{g2} s^4 + L_{g3} s^6 + L_{g4} s^8 + L_{g5} s^{10} + L_{g6} s^{12} + L_{g7} s^{14} +* ``` +* +* where the values of \\(L_{g1}\\) to \\(L_{g7}\\) are the polynomial coefficients used in the program below and +* +* ```tex +* L_{g1} s^2 + \ldots + L_{g7} s^{14} - R(z) \leq 2^{-58.45} +* ``` +* +* Note that +* +* ```tex +* 2s = f - s \cdot f = f - h_{fsq} + (s \cdot h_{fsq}) +* ``` +* +* where \\(h_{fsq} = f^{2}/2\\). +* +* In order to guarantee an error in \\(\operatorname{log}\\) below 1 ulp, we compute \\(\operatorname{log}\\) by +* +* ```tex +* \begin{align*} +* \operatorname{log}(1+f) &= f - s (f - R) & \textrm{(if f is not too large)} \\ +* \operatorname{log}(1+f) &= f - (h_{fsq} - s (h_{fsq}+R)) & \textrm{(better accuracy)} +* \end{align*} +* +* 3. Finally, +* +* ```tex +* \begin{align*} +* \operatorname{log}(x) &= k \cdot \operatorname{ln2} + \operatorname{log}(1+f) \\ +* &= k \cdot \operatorname{ln2}_{hi} + (f-(h_{fsq}-(s \cdot (h_{fsq}+R) + k \cdot \operatorname{ln2}_{lo}))) +* \end{align*} +* ``` +* +* Here, \\(\operatorname{ln2}\\) is split into two floating point numbers: +* +* ```tex +* \operatorname{ln2} = \operatorname{ln2}_{hi} + \operatorname{ln2}_{lo} +* ``` +* +* where \\(n \cdot \operatorname{ln2}_{hi}\\) is always exact for \\(|n| < 2000\\). +* +* ## Special Cases +* +* ```tex +* \begin{align*} +* \operatorname{log}(x < 0) &= \mathrm{NaN} \\ +* \operatorname{log}(\infty) &= \infty \\ +* \operatorname{log}(0) &= -\infty \\ +* \operatorname{log}(\mathrm{NaN}) &= \mathrm{NaN} +* \end{align*} +* ``` +* +* ## Notes +* +* - According to an error analysis, the error is always less than 1 ulp (unit in the last place). +* * @param x input value * @return output value * @@ -98,6 +183,7 @@ static double polyval_q( const double x ) { double stdlib_base_kernel_log( const double x ) { double hfsq; uint32_t hx; + int32_t ihx; int32_t i; int32_t j; double t1; @@ -109,27 +195,28 @@ double stdlib_base_kernel_log( const double x ) { double w; stdlib_base_float64_get_high_word( x, &hx ); + ihx = (int32_t)hx; f = x - 1.0; - if ( ( HIGH_SIGNIFICAND_MASK & ( 2 + hx ) ) < 3 ) { + if ( ( STDLIB_CONSTANT_FLOAT64_HIGH_WORD_SIGNIFICAND_MASK & (2+ihx) ) < 3 ) { // Case: -2**-20 <= f < 2**-20 if ( f == 0.0 ) { return 0.0; } - return f * f * ( ( ONE_THIRD * f )- 0.5 ); + return f * f * ( (ONE_THIRD*f) - 0.5 ); } s = f / ( 2.0 + f ); z = s * s; - hx &= HIGH_SIGNIFICAND_MASK; - i = ( hx - 0x6147a ); + ihx &= STDLIB_CONSTANT_FLOAT64_HIGH_WORD_SIGNIFICAND_MASK; + i = ihx - 0x6147a; w = z * z; - j = ( 0x6b851 - hx ); + j = 0x6b851 - ihx; t1 = w * polyval_p( w ); t2 = z * polyval_q( w ); i |= j; R = t2 + t1; if ( i > 0 ) { hfsq = 0.5 * f * f; - return ( s * ( hfsq + R ) ) - hfsq; + return ( s * (hfsq+R) ) - hfsq; } - return s * ( R - f ); + return s * (R-f); } From d808296a0bc8951a28521cee6eafff0663b40f38 Mon Sep 17 00:00:00 2001 From: Athan Reines Date: Tue, 9 Apr 2024 01:36:38 -0700 Subject: [PATCH 08/13] test: update fixture generation --- .../@stdlib/math/base/special/kernel-log/README.md | 2 +- .../math/base/special/kernel-log/test/fixtures/runner.jl | 7 +------ 2 files changed, 2 insertions(+), 7 deletions(-) diff --git a/lib/node_modules/@stdlib/math/base/special/kernel-log/README.md b/lib/node_modules/@stdlib/math/base/special/kernel-log/README.md index 6a9afc2e055e..64fffa3b70e2 100644 --- a/lib/node_modules/@stdlib/math/base/special/kernel-log/README.md +++ b/lib/node_modules/@stdlib/math/base/special/kernel-log/README.md @@ -112,7 +112,7 @@ out = stdlib_base_kernel_log( 1.4142135623730951 ); The function accepts the following arguments: -- **x**: `[in] double` input value (assumed to be bounded by `~[sqrt(2)/2, sqrt(2)]` in magnitude). +- **x**: `[in] double` input value (assumed to be bounded by `~[sqrt(2)/2, sqrt(2)]`). ```c double stdlib_base_kernel_log( const double x ); diff --git a/lib/node_modules/@stdlib/math/base/special/kernel-log/test/fixtures/runner.jl b/lib/node_modules/@stdlib/math/base/special/kernel-log/test/fixtures/runner.jl index 3504954a15f4..a077ce0d03ca 100644 --- a/lib/node_modules/@stdlib/math/base/special/kernel-log/test/fixtures/runner.jl +++ b/lib/node_modules/@stdlib/math/base/special/kernel-log/test/fixtures/runner.jl @@ -38,7 +38,7 @@ julia> gen( x, \"./data.json\" ); function gen( x, filepath ) y = Array{Float64}( undef, length(x) ); for i in eachindex(x) - y[ i ] = log( x[ i ] ); + y[ i ] = log( x[ i ] ) - ( x[ i ] - 1.0 ); end data = Dict([ @@ -61,8 +61,3 @@ dir = dirname( file ); x = range( 0.7071067811865476, stop = 1.4142135623730951 , length = 1003 ); out = joinpath( dir, "data.json" ); gen( x, out ); - -# Tiny positive values: -x = range( 0.9999990463256836, stop = 1.0000009536743164 , length = 1003 ); -out = joinpath( dir, "tiny.json" ); -gen( x, out ); From e967da4497272197b067601740c427889a6f5809 Mon Sep 17 00:00:00 2001 From: Athan Reines Date: Tue, 9 Apr 2024 01:38:39 -0700 Subject: [PATCH 09/13] test: remove fixture --- .../@stdlib/math/base/special/kernel-log/test/fixtures/tiny.json | 1 - 1 file changed, 1 deletion(-) delete mode 100644 lib/node_modules/@stdlib/math/base/special/kernel-log/test/fixtures/tiny.json diff --git a/lib/node_modules/@stdlib/math/base/special/kernel-log/test/fixtures/tiny.json b/lib/node_modules/@stdlib/math/base/special/kernel-log/test/fixtures/tiny.json deleted file mode 100644 index ac2d26c55e2c..000000000000 --- a/lib/node_modules/@stdlib/math/base/special/kernel-log/test/fixtures/tiny.json +++ /dev/null @@ -1 +0,0 @@ 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\ No newline at end of file From 8cbb8b26674abcbfd43b1d55cbd40ac260dbddfd Mon Sep 17 00:00:00 2001 From: Athan Reines Date: Tue, 9 Apr 2024 11:40:28 -0700 Subject: [PATCH 10/13] test: update fixtures and test tolerances --- .../math/base/special/kernel-log/lib/main.js | 16 ++++++++-------- .../math/base/special/kernel-log/src/main.c | 16 ++++++++-------- .../special/kernel-log/test/fixtures/data.json | 2 +- .../special/kernel-log/test/fixtures/runner.jl | 5 +++++ .../special/kernel-log/test/fixtures/tiny.json | 1 + .../math/base/special/kernel-log/test/test.js | 8 ++++---- .../base/special/kernel-log/test/test.native.js | 8 ++++---- 7 files changed, 31 insertions(+), 25 deletions(-) mode change 100644 => 100755 lib/node_modules/@stdlib/math/base/special/kernel-log/test/fixtures/runner.jl create mode 100644 lib/node_modules/@stdlib/math/base/special/kernel-log/test/fixtures/tiny.json diff --git a/lib/node_modules/@stdlib/math/base/special/kernel-log/lib/main.js b/lib/node_modules/@stdlib/math/base/special/kernel-log/lib/main.js index 737a804a4438..49781fafdda1 100644 --- a/lib/node_modules/@stdlib/math/base/special/kernel-log/lib/main.js +++ b/lib/node_modules/@stdlib/math/base/special/kernel-log/lib/main.js @@ -66,23 +66,23 @@ var ONE_THIRD = 0.33333333333333333; * 2. Approximation of \\(\operatorname{log}(1+f)\\). Let * * ```tex -* s = \frac{f}{2+f} +* \begin{align*} +* s &= \frac{f}{2+f} \\ +* &= 2s + \frac{2}{3} s^3 + \frac{2}{5} s^5 + \ldots \\ +* &= 2s + s R +* \end{align*} * ``` * * based on * * ```tex -* \begin{align*} -* \operatorname{log}(1+f) &= \operatorname{log}(1+s) - \operatorname{log}(1-s) \\ -* &= 2s + \frac{2}{3} s^3 + \frac{2}{5} s^5 + \ldots \\ -* &= 2s + s R -* \end{align*} +* \operatorname{log}(1+f) &= \operatorname{log}(1+s) - \operatorname{log}(1-s) * ``` * -* We use a special Reme algorithm on \\(\[0,0.1716]\\) to generate a polynomial of degree \\(14\\) to approximate \\(R\\) The maximum error of this polynomial approximation is bounded by \\(2^{-58.45}\\). In other words, +* We use a special Reme algorithm on \\(\[0,0.1716]\\) to generate a polynomial of degree \\(14\\) to approximate \\(R\\). The maximum error of this polynomial approximation is bounded by \\(2^{-58.45}\\). In other words, * * ```tex -* R(z) \approx L_{g1} s^2 + L_{g2} s^4 + L_{g3} s^6 + L_{g4} s^8 + L_{g5} s^{10} + L_{g6} s^{12} + L_{g7} s^{14} +* R(z) ~ L_{g1} s^2 + L_{g2} s^4 + L_{g3} s^6 + L_{g4} s^8 + L_{g5} s^{10} + L_{g6} s^{12} + L_{g7} s^{14} * ``` * * where the values of \\(L_{g1}\\) to \\(L_{g7}\\) are the polynomial coefficients used in the program below and diff --git a/lib/node_modules/@stdlib/math/base/special/kernel-log/src/main.c b/lib/node_modules/@stdlib/math/base/special/kernel-log/src/main.c index ba48dd4e1cea..1cbf8cd656c5 100644 --- a/lib/node_modules/@stdlib/math/base/special/kernel-log/src/main.c +++ b/lib/node_modules/@stdlib/math/base/special/kernel-log/src/main.c @@ -100,23 +100,23 @@ static double polyval_q( const double x ) { * 2. Approximation of \\(\operatorname{log}(1+f)\\). Let * * ```tex -* s = \frac{f}{2+f} +* \begin{align*} +* s &= \frac{f}{2+f} \\ +* &= 2s + \frac{2}{3} s^3 + \frac{2}{5} s^5 + \ldots \\ +* &= 2s + s R +* \end{align*} * ``` * * based on * * ```tex -* \begin{align*} -* \operatorname{log}(1+f) &= \operatorname{log}(1+s) - \operatorname{log}(1-s) \\ -* &= 2s + \frac{2}{3} s^3 + \frac{2}{5} s^5 + \ldots \\ -* &= 2s + s R -* \end{align*} +* \operatorname{log}(1+f) &= \operatorname{log}(1+s) - \operatorname{log}(1-s) * ``` * -* We use a special Reme algorithm on \\(\[0,0.1716]\\) to generate a polynomial of degree \\(14\\) to approximate \\(R\\) The maximum error of this polynomial approximation is bounded by \\(2^{-58.45}\\). In other words, +* We use a special Reme algorithm on \\(\[0,0.1716]\\) to generate a polynomial of degree \\(14\\) to approximate \\(R\\). The maximum error of this polynomial approximation is bounded by \\(2^{-58.45}\\). In other words, * * ```tex -* R(z) \approx L_{g1} s^2 + L_{g2} s^4 + L_{g3} s^6 + L_{g4} s^8 + L_{g5} s^{10} + L_{g6} s^{12} + L_{g7} s^{14} +* R(z) ~ L_{g1} s^2 + L_{g2} s^4 + L_{g3} s^6 + L_{g4} s^8 + L_{g5} s^{10} + L_{g6} s^{12} + L_{g7} s^{14} * ``` * * where the values of \\(L_{g1}\\) to \\(L_{g7}\\) are the polynomial coefficients used in the program below and diff --git a/lib/node_modules/@stdlib/math/base/special/kernel-log/test/fixtures/data.json b/lib/node_modules/@stdlib/math/base/special/kernel-log/test/fixtures/data.json index 31ef567d5886..712fa8704ef8 100644 --- a/lib/node_modules/@stdlib/math/base/special/kernel-log/test/fixtures/data.json +++ b/lib/node_modules/@stdlib/math/base/special/kernel-log/test/fixtures/data.json @@ -1 +1 @@ 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\ No newline at end of file diff --git a/lib/node_modules/@stdlib/math/base/special/kernel-log/test/fixtures/runner.jl b/lib/node_modules/@stdlib/math/base/special/kernel-log/test/fixtures/runner.jl old mode 100644 new mode 100755 index a077ce0d03ca..60a0ae17eaf9 --- a/lib/node_modules/@stdlib/math/base/special/kernel-log/test/fixtures/runner.jl +++ b/lib/node_modules/@stdlib/math/base/special/kernel-log/test/fixtures/runner.jl @@ -61,3 +61,8 @@ dir = dirname( file ); x = range( 0.7071067811865476, stop = 1.4142135623730951 , length = 1003 ); out = joinpath( dir, "data.json" ); gen( x, out ); + +# Tiny positive values: +x = range( 0.9999990463256836, stop = 1.0000009536743164 , length = 1003 ); +out = joinpath( dir, "tiny.json" ); +gen( x, out ); diff --git a/lib/node_modules/@stdlib/math/base/special/kernel-log/test/fixtures/tiny.json b/lib/node_modules/@stdlib/math/base/special/kernel-log/test/fixtures/tiny.json new file mode 100644 index 000000000000..2fad2ba01d7a --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/kernel-log/test/fixtures/tiny.json @@ -0,0 +1 @@ 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\ No newline at end of file diff --git a/lib/node_modules/@stdlib/math/base/special/kernel-log/test/test.js b/lib/node_modules/@stdlib/math/base/special/kernel-log/test/test.js index d0e44745aef8..4eb54589ffa9 100644 --- a/lib/node_modules/@stdlib/math/base/special/kernel-log/test/test.js +++ b/lib/node_modules/@stdlib/math/base/special/kernel-log/test/test.js @@ -67,12 +67,12 @@ tape( 'the function correctly computes `log(x) - (x-1)` for `x` satisfying `sqrt for ( i = 0; i < x.length; i++ ) { y = kernelLog( x[ i ] ); - e = expected[ i ] - ( x[ i ] - 1 ); + e = expected[ i ]; if ( y === e ) { t.equal( y, e, 'x: '+x[ i ]+'. E: '+e ); } else { delta = abs( y - e ); - tol = 1e5 * EPS * abs( e ); + tol = 1.0 * EPS * abs( e ); t.ok( delta <= tol, 'within tolerance. x: '+x[ i ]+'. y: '+y+'. E: '+e+'. tol: '+tol+'. Δ: '+delta+'.' ); } } @@ -93,12 +93,12 @@ tape( 'the function correctly computes `log(x) - (x-1)` for `x` satisfying `-2^- for ( i = 0; i < x.length; i++ ) { y = kernelLog( x[ i ] ); - e = expected[ i ] - ( x[ i ] - 1 ); + e = expected[ i ]; if ( y === e ) { t.equal( y, e, 'x: '+x[ i ]+'. E: '+e ); } else { delta = abs( y - e ); - tol = 1e8 * EPS * abs( e ); + tol = 1.0 * EPS * abs( e ); t.ok( delta <= tol, 'within tolerance. x: '+x[ i ]+'. y: '+y+'. E: '+e+'. tol: '+tol+'. Δ: '+delta+'.' ); } } diff --git a/lib/node_modules/@stdlib/math/base/special/kernel-log/test/test.native.js b/lib/node_modules/@stdlib/math/base/special/kernel-log/test/test.native.js index 1f3979f06842..60615d0dbff8 100644 --- a/lib/node_modules/@stdlib/math/base/special/kernel-log/test/test.native.js +++ b/lib/node_modules/@stdlib/math/base/special/kernel-log/test/test.native.js @@ -76,12 +76,12 @@ tape( 'the function correctly computes `log(x) - (x-1)` for `x` satisfying `sqrt for ( i = 0; i < x.length; i++ ) { y = kernelLog( x[ i ] ); - e = expected[ i ] - ( x[ i ] - 1 ); + e = expected[ i ]; if ( y === e ) { t.equal( y, e, 'x: '+x[ i ]+'. E: '+e ); } else { delta = abs( y - e ); - tol = 1e5 * EPS * abs( e ); + tol = 1.0 * EPS * abs( e ); t.ok( delta <= tol, 'within tolerance. x: '+x[ i ]+'. y: '+y+'. E: '+e+'. tol: '+tol+'. Δ: '+delta+'.' ); } } @@ -102,12 +102,12 @@ tape( 'the function correctly computes `log(x) - (x-1)` for `x` satisfying `-2^- for ( i = 0; i < x.length; i++ ) { y = kernelLog( x[ i ] ); - e = expected[ i ] - ( x[ i ] - 1 ); + e = expected[ i ]; if ( y === e ) { t.equal( y, e, 'x: '+x[ i ]+'. E: '+e ); } else { delta = abs( y - e ); - tol = 1e8 * EPS * abs( e ); + tol = 1.0 * EPS * abs( e ); t.ok( delta <= tol, 'within tolerance. x: '+x[ i ]+'. y: '+y+'. E: '+e+'. tol: '+tol+'. Δ: '+delta+'.' ); } } From e592dd743f8a712742b7c9d8fada25bd645dc407 Mon Sep 17 00:00:00 2001 From: Athan Reines Date: Sun, 14 Apr 2024 01:47:46 -0700 Subject: [PATCH 11/13] refactor: rename package and update to msun 12.2.0 --- .../base/special/kernel-log/docs/repl.txt | 26 ------- .../special/kernel-log/test/fixtures/REQUIRE | 2 - .../kernel-log/test/fixtures/data.json | 1 - .../kernel-log/test/fixtures/runner.jl | 68 ------------------ .../kernel-log/test/fixtures/tiny.json | 1 - .../{kernel-log => kernel-log1p}/LICENSE | 0 .../{kernel-log => kernel-log1p}/README.md | 60 ++++++++++------ .../benchmark/benchmark.js | 4 +- .../benchmark/benchmark.native.js | 6 +- .../benchmark/c/Makefile | 0 .../benchmark/c/benchmark.c | 8 +-- .../{kernel-log => kernel-log1p}/binding.gyp | 0 .../base/special/kernel-log1p/docs/repl.txt | 30 ++++++++ .../docs/types/index.d.ts | 22 +++--- .../docs/types/test.ts | 20 +++--- .../examples/c/Makefile | 0 .../examples/c/example.c | 4 +- .../examples/index.js | 4 +- .../{kernel-log => kernel-log1p}/include.gypi | 0 .../stdlib/math/base/special/kernel_log1p.h} | 10 +-- .../{kernel-log => kernel-log1p}/lib/index.js | 16 ++--- .../{kernel-log => kernel-log1p}/lib/main.js | 71 ++++--------------- .../lib/native.js | 20 +++--- .../lib/polyval_p.js | 0 .../lib/polyval_q.js | 0 .../manifest.json | 14 +--- .../{kernel-log => kernel-log1p}/package.json | 5 +- .../scripts/evalpoly.js | 0 .../{kernel-log => kernel-log1p}/src/Makefile | 0 .../{kernel-log => kernel-log1p}/src/addon.c | 4 +- .../{kernel-log => kernel-log1p}/src/main.c | 62 +++------------- .../{kernel-log => kernel-log1p}/test/test.js | 56 +++------------ .../test/test.native.js | 58 ++++----------- 33 files changed, 179 insertions(+), 393 deletions(-) delete mode 100644 lib/node_modules/@stdlib/math/base/special/kernel-log/docs/repl.txt delete mode 100644 lib/node_modules/@stdlib/math/base/special/kernel-log/test/fixtures/REQUIRE delete mode 100644 lib/node_modules/@stdlib/math/base/special/kernel-log/test/fixtures/data.json delete mode 100755 lib/node_modules/@stdlib/math/base/special/kernel-log/test/fixtures/runner.jl delete mode 100644 lib/node_modules/@stdlib/math/base/special/kernel-log/test/fixtures/tiny.json rename lib/node_modules/@stdlib/math/base/special/{kernel-log => kernel-log1p}/LICENSE (100%) rename lib/node_modules/@stdlib/math/base/special/{kernel-log => kernel-log1p}/README.md (60%) rename lib/node_modules/@stdlib/math/base/special/{kernel-log => kernel-log1p}/benchmark/benchmark.js (94%) rename lib/node_modules/@stdlib/math/base/special/{kernel-log => kernel-log1p}/benchmark/benchmark.native.js (90%) rename lib/node_modules/@stdlib/math/base/special/{kernel-log => kernel-log1p}/benchmark/c/Makefile (100%) rename lib/node_modules/@stdlib/math/base/special/{kernel-log => kernel-log1p}/benchmark/c/benchmark.c (94%) rename lib/node_modules/@stdlib/math/base/special/{kernel-log => kernel-log1p}/binding.gyp (100%) create mode 100644 lib/node_modules/@stdlib/math/base/special/kernel-log1p/docs/repl.txt rename lib/node_modules/@stdlib/math/base/special/{kernel-log => kernel-log1p}/docs/types/index.d.ts (59%) rename lib/node_modules/@stdlib/math/base/special/{kernel-log => kernel-log1p}/docs/types/test.ts (68%) rename lib/node_modules/@stdlib/math/base/special/{kernel-log => kernel-log1p}/examples/c/Makefile (100%) rename lib/node_modules/@stdlib/math/base/special/{kernel-log => kernel-log1p}/examples/c/example.c (90%) rename lib/node_modules/@stdlib/math/base/special/{kernel-log => kernel-log1p}/examples/index.js (88%) rename lib/node_modules/@stdlib/math/base/special/{kernel-log => kernel-log1p}/include.gypi (100%) rename lib/node_modules/@stdlib/math/base/special/{kernel-log/include/stdlib/math/base/special/kernel_log.h => kernel-log1p/include/stdlib/math/base/special/kernel_log1p.h} (76%) rename lib/node_modules/@stdlib/math/base/special/{kernel-log => kernel-log1p}/lib/index.js (72%) rename lib/node_modules/@stdlib/math/base/special/{kernel-log => kernel-log1p}/lib/main.js (67%) rename lib/node_modules/@stdlib/math/base/special/{kernel-log => kernel-log1p}/lib/native.js (73%) rename lib/node_modules/@stdlib/math/base/special/{kernel-log => kernel-log1p}/lib/polyval_p.js (100%) rename lib/node_modules/@stdlib/math/base/special/{kernel-log => kernel-log1p}/lib/polyval_q.js (100%) rename lib/node_modules/@stdlib/math/base/special/{kernel-log => kernel-log1p}/manifest.json (68%) rename lib/node_modules/@stdlib/math/base/special/{kernel-log => kernel-log1p}/package.json (90%) rename lib/node_modules/@stdlib/math/base/special/{kernel-log => kernel-log1p}/scripts/evalpoly.js (100%) rename lib/node_modules/@stdlib/math/base/special/{kernel-log => kernel-log1p}/src/Makefile (100%) rename lib/node_modules/@stdlib/math/base/special/{kernel-log => kernel-log1p}/src/addon.c (86%) rename lib/node_modules/@stdlib/math/base/special/{kernel-log => kernel-log1p}/src/main.c (72%) rename lib/node_modules/@stdlib/math/base/special/{kernel-log => kernel-log1p}/test/test.js (55%) rename lib/node_modules/@stdlib/math/base/special/{kernel-log => kernel-log1p}/test/test.native.js (56%) diff --git a/lib/node_modules/@stdlib/math/base/special/kernel-log/docs/repl.txt b/lib/node_modules/@stdlib/math/base/special/kernel-log/docs/repl.txt deleted file mode 100644 index 40f2c1a44142..000000000000 --- a/lib/node_modules/@stdlib/math/base/special/kernel-log/docs/repl.txt +++ /dev/null @@ -1,26 +0,0 @@ - -{{alias}}( x, y ) - Computes log(x) - (x-1) for x in ~[sqrt(2)/2, sqrt(2)]. - - Parameters - ---------- - x: number - Input value. - - Returns - ------- - out: number - Function value. - - Examples - -------- - > var y = {{alias}}( 1.0 ) - ~0.0 - > y = {{alias}}( 1.4142135623730951 ) - ~-0.0676 - > y = {{alias}}( NaN ) - NaN - - See Also - -------- - diff --git a/lib/node_modules/@stdlib/math/base/special/kernel-log/test/fixtures/REQUIRE b/lib/node_modules/@stdlib/math/base/special/kernel-log/test/fixtures/REQUIRE deleted file mode 100644 index 308c3be89c85..000000000000 --- a/lib/node_modules/@stdlib/math/base/special/kernel-log/test/fixtures/REQUIRE +++ /dev/null @@ -1,2 +0,0 @@ -julia 1.5 -JSON 0.21 diff --git a/lib/node_modules/@stdlib/math/base/special/kernel-log/test/fixtures/data.json b/lib/node_modules/@stdlib/math/base/special/kernel-log/test/fixtures/data.json deleted file mode 100644 index 712fa8704ef8..000000000000 --- a/lib/node_modules/@stdlib/math/base/special/kernel-log/test/fixtures/data.json +++ /dev/null @@ -1 +0,0 @@ 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\ No newline at end of file diff --git a/lib/node_modules/@stdlib/math/base/special/kernel-log/test/fixtures/runner.jl b/lib/node_modules/@stdlib/math/base/special/kernel-log/test/fixtures/runner.jl deleted file mode 100755 index 60a0ae17eaf9..000000000000 --- a/lib/node_modules/@stdlib/math/base/special/kernel-log/test/fixtures/runner.jl +++ /dev/null @@ -1,68 +0,0 @@ -#!/usr/bin/env julia -# -# @license Apache-2.0 -# -# Copyright (c) 2024 The Stdlib Authors. -# -# Licensed under the Apache License, Version 2.0 (the "License"); -# you may not use this file except in compliance with the License. -# You may obtain a copy of the License at -# -# http://www.apache.org/licenses/LICENSE-2.0 -# -# Unless required by applicable law or agreed to in writing, software -# distributed under the License is distributed on an "AS IS" BASIS, -# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. -# See the License for the specific language governing permissions and -# limitations under the License. - -import JSON - -""" - gen( x, filepath ) - -Generate fixture data and write to file. - -# Arguments - -* `x`: domain -* `filepath::AbstractString`: filepath of the output file - -# Examples - -``` julia -julia> x = range( 0, stop = 1000, length = 2001 ); -julia> gen( x, \"./data.json\" ); -``` -""" -function gen( x, filepath ) - y = Array{Float64}( undef, length(x) ); - for i in eachindex(x) - y[ i ] = log( x[ i ] ) - ( x[ i ] - 1.0 ); - end - - data = Dict([ - ("x", x), - ("expected", y) - ]); - - outfile = open( filepath, "w" ); - write( outfile, JSON.json(data) ); - close( outfile ); -end - -# Get the filename: -file = @__FILE__; - -# Extract the directory in which this file resides: -dir = dirname( file ); - -# Generate fixture data for decimal values: -x = range( 0.7071067811865476, stop = 1.4142135623730951 , length = 1003 ); -out = joinpath( dir, "data.json" ); -gen( x, out ); - -# Tiny positive values: -x = range( 0.9999990463256836, stop = 1.0000009536743164 , length = 1003 ); -out = joinpath( dir, "tiny.json" ); -gen( x, out ); diff --git a/lib/node_modules/@stdlib/math/base/special/kernel-log/test/fixtures/tiny.json b/lib/node_modules/@stdlib/math/base/special/kernel-log/test/fixtures/tiny.json deleted file mode 100644 index 2fad2ba01d7a..000000000000 --- a/lib/node_modules/@stdlib/math/base/special/kernel-log/test/fixtures/tiny.json +++ /dev/null @@ -1 +0,0 @@ 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\ No newline at end of file diff --git a/lib/node_modules/@stdlib/math/base/special/kernel-log/LICENSE b/lib/node_modules/@stdlib/math/base/special/kernel-log1p/LICENSE similarity index 100% rename from lib/node_modules/@stdlib/math/base/special/kernel-log/LICENSE rename to lib/node_modules/@stdlib/math/base/special/kernel-log1p/LICENSE diff --git a/lib/node_modules/@stdlib/math/base/special/kernel-log/README.md b/lib/node_modules/@stdlib/math/base/special/kernel-log1p/README.md similarity index 60% rename from lib/node_modules/@stdlib/math/base/special/kernel-log/README.md rename to lib/node_modules/@stdlib/math/base/special/kernel-log1p/README.md index 64fffa3b70e2..37b1ae9406f2 100644 --- a/lib/node_modules/@stdlib/math/base/special/kernel-log/README.md +++ b/lib/node_modules/@stdlib/math/base/special/kernel-log1p/README.md @@ -18,30 +18,30 @@ limitations under the License. --> -# kernelLog +# kernelLog1p -> Compute `log(x) - (x-1)` for `x` in `~[sqrt(2)/2, sqrt(2)]`. +> Compute `log(1+f) - f` for `1+f` in `~[sqrt(2)/2, sqrt(2)]`.
## Usage ```javascript -var kernelLog = require( '@stdlib/math/base/special/kernel-log' ); +var kernelLog1p = require( '@stdlib/math/base/special/kernel-log1p' ); ``` -#### kernelLog( x ) +#### kernelLog1p( f ) -Computes `log(x) - (x-1)` for `x` in `~[sqrt(2)/2, sqrt(2)]`. +Computes `log(1+f) - f` for `1+f` in `~[sqrt(2)/2, sqrt(2)]`. ```javascript -var v = kernelLog( 1.0 ); -// returns 0.0 +var v = kernelLog1p( 1.0 ); +// returns ~0.1931 -v = kernelLog( 1.4142135623730951 ); -// returns ~-0.0676 +v = kernelLog1p( 1.4142135623730951 ); +// returns ~0.4672 -v = kernelLog( NaN ); +v = kernelLog1p( NaN ); // returns NaN ``` @@ -49,6 +49,16 @@ v = kernelLog( NaN ); +
+ +## Notes + +- This function is a helper function for computing logarithms in base `e`. Argument reduction and adding the final term of the polynomial must be done by the caller for increased accuracy when different bases are used. For reference, see [`@stdlib/math/base/special/log2`][@stdlib/math/base/special/log2] and [`@stdlib/math/base/special/log10`][@stdlib/math/base/special/log10]. + +
+ + +
## Examples @@ -58,13 +68,13 @@ v = kernelLog( NaN ); ```javascript var linspace = require( '@stdlib/array/base/linspace' ); var sqrt = require( '@stdlib/math/base/special/sqrt' ); -var kernelLog = require( '@stdlib/math/base/special/kernel-log' ); +var kernelLog1p = require( '@stdlib/math/base/special/kernel-log1p' ); var x = linspace( sqrt( 2.0 ) / 2.0, sqrt( 2.0 ), 100 ); var i; for ( i = 0; i < x.length; i++ ) { - console.log( 'kernelLog(%d) = %d', x[ i ], kernelLog( x[ i ] ) ); + console.log( 'kernelLog1p(%d) = %d', x[ i ], kernelLog1p( x[ i ] ) ); } ``` @@ -95,27 +105,27 @@ for ( i = 0; i < x.length; i++ ) { ### Usage ```c -#include "stdlib/math/base/special/kernel_log.h" +#include "stdlib/math/base/special/kernel_log1p.h" ``` -#### stdlib_base_kernel_log( x ) +#### stdlib_base_kernel_log1p( f ) -Computes `log(x) - (x-1)` for `x` in `~[sqrt(2)/2, sqrt(2)]`. +Computes `log(1+f) - f` for `1+f` in `~[sqrt(2)/2, sqrt(2)]`. ```c -double out = stdlib_base_kernel_log( 1.0 ); -// returns 0.0 +double out = stdlib_base_kernel_log1p( 1.0 ); +// returns ~0.1931 -out = stdlib_base_kernel_log( 1.4142135623730951 ); -// returns ~-0.0676 +out = stdlib_base_kernel_log1p( 1.4142135623730951 ); +// returns ~0.4672 ``` The function accepts the following arguments: -- **x**: `[in] double` input value (assumed to be bounded by `~[sqrt(2)/2, sqrt(2)]`). +- **f**: `[in] double` input value. ```c -double stdlib_base_kernel_log( const double x ); +double stdlib_base_kernel_log1p( const double f ); ```
@@ -137,7 +147,7 @@ double stdlib_base_kernel_log( const double x ); ### Examples ```c -#include "stdlib/math/base/special/kernel_log.h" +#include "stdlib/math/base/special/kernel_log1p.h" #include int main( void ) { @@ -146,7 +156,7 @@ int main( void ) { double out; int i; for ( i = 0; i < 10; i++ ) { - out = stdlib_base_kernel_log( x[ i ] ); + out = stdlib_base_kernel_log1p( x[ i ] ); printf ( "x[ i ]: %lf, out: %lf\n", x[ i ], out ); } } @@ -172,6 +182,10 @@ int main( void ) {
+[@stdlib/math/base/special/log2]: https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/math/base/special/log2 + +[@stdlib/math/base/special/log10]: https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/math/base/special/log10 + diff --git a/lib/node_modules/@stdlib/math/base/special/kernel-log/benchmark/benchmark.js b/lib/node_modules/@stdlib/math/base/special/kernel-log1p/benchmark/benchmark.js similarity index 94% rename from lib/node_modules/@stdlib/math/base/special/kernel-log/benchmark/benchmark.js rename to lib/node_modules/@stdlib/math/base/special/kernel-log1p/benchmark/benchmark.js index e4e113ee8cdc..6fafb9044538 100644 --- a/lib/node_modules/@stdlib/math/base/special/kernel-log/benchmark/benchmark.js +++ b/lib/node_modules/@stdlib/math/base/special/kernel-log1p/benchmark/benchmark.js @@ -24,7 +24,7 @@ var bench = require( '@stdlib/bench' ); var randu = require( '@stdlib/random/base/randu' ); var isnan = require( '@stdlib/math/base/assert/is-nan' ); var pkg = require( './../package.json' ).name; -var kernelLog = require( './../lib' ); +var kernelLog1p = require( './../lib' ); // MAIN // @@ -37,7 +37,7 @@ bench( pkg, function benchmark( b ) { b.tic(); for ( i = 0; i < b.iterations; i++ ) { x = ( randu() + 1.0 ) * 0.7071067811865476; - y = kernelLog( x ); + y = kernelLog1p( x ); if ( isnan( y ) ) { b.fail( 'should not return NaN' ); } diff --git a/lib/node_modules/@stdlib/math/base/special/kernel-log/benchmark/benchmark.native.js b/lib/node_modules/@stdlib/math/base/special/kernel-log1p/benchmark/benchmark.native.js similarity index 90% rename from lib/node_modules/@stdlib/math/base/special/kernel-log/benchmark/benchmark.native.js rename to lib/node_modules/@stdlib/math/base/special/kernel-log1p/benchmark/benchmark.native.js index f2749bcdbb15..825de019718b 100644 --- a/lib/node_modules/@stdlib/math/base/special/kernel-log/benchmark/benchmark.native.js +++ b/lib/node_modules/@stdlib/math/base/special/kernel-log1p/benchmark/benchmark.native.js @@ -30,9 +30,9 @@ var pkg = require( './../package.json' ).name; // VARIABLES // -var kernelLog = tryRequire( resolve( __dirname, './../lib/native.js' ) ); +var kernelLog1p = tryRequire( resolve( __dirname, './../lib/native.js' ) ); var opts = { - 'skip': ( kernelLog instanceof Error ) + 'skip': ( kernelLog1p instanceof Error ) }; @@ -46,7 +46,7 @@ bench( pkg+'::native', opts, function benchmark( b ) { b.tic(); for ( i = 0; i < b.iterations; i++ ) { x = ( randu() + 1.0 ) * 0.7071067811865476; - y = kernelLog( x ); + y = kernelLog1p( x ); if ( isnan( y ) ) { b.fail( 'should not return NaN' ); } diff --git a/lib/node_modules/@stdlib/math/base/special/kernel-log/benchmark/c/Makefile b/lib/node_modules/@stdlib/math/base/special/kernel-log1p/benchmark/c/Makefile similarity index 100% rename from lib/node_modules/@stdlib/math/base/special/kernel-log/benchmark/c/Makefile rename to lib/node_modules/@stdlib/math/base/special/kernel-log1p/benchmark/c/Makefile diff --git a/lib/node_modules/@stdlib/math/base/special/kernel-log/benchmark/c/benchmark.c b/lib/node_modules/@stdlib/math/base/special/kernel-log1p/benchmark/c/benchmark.c similarity index 94% rename from lib/node_modules/@stdlib/math/base/special/kernel-log/benchmark/c/benchmark.c rename to lib/node_modules/@stdlib/math/base/special/kernel-log1p/benchmark/c/benchmark.c index e083c1c7e602..470ddad13746 100644 --- a/lib/node_modules/@stdlib/math/base/special/kernel-log/benchmark/c/benchmark.c +++ b/lib/node_modules/@stdlib/math/base/special/kernel-log1p/benchmark/c/benchmark.c @@ -17,16 +17,16 @@ */ /** -* Benchmark `kernel_log`. +* Benchmark `kernel_log1p`. */ -#include "stdlib/math/base/special/kernel_log.h" +#include "stdlib/math/base/special/kernel_log1p.h" #include #include #include #include #include -#define NAME "kernel_log" +#define NAME "kernel_log1p" #define ITERATIONS 1000000 #define REPEATS 3 @@ -102,7 +102,7 @@ double benchmark() { t = tic(); for ( i = 0; i < ITERATIONS; i++ ) { x = ( rand_double() + 1.0 ) * 0.7071067811865476; - z = stdlib_base_kernel_log( x ); + z = stdlib_base_kernel_log1p( x ); if ( z != z ) { printf( "should not return NaN\n" ); break; diff --git a/lib/node_modules/@stdlib/math/base/special/kernel-log/binding.gyp b/lib/node_modules/@stdlib/math/base/special/kernel-log1p/binding.gyp similarity index 100% rename from lib/node_modules/@stdlib/math/base/special/kernel-log/binding.gyp rename to lib/node_modules/@stdlib/math/base/special/kernel-log1p/binding.gyp diff --git a/lib/node_modules/@stdlib/math/base/special/kernel-log1p/docs/repl.txt b/lib/node_modules/@stdlib/math/base/special/kernel-log1p/docs/repl.txt new file mode 100644 index 000000000000..15dd1039a1b8 --- /dev/null +++ b/lib/node_modules/@stdlib/math/base/special/kernel-log1p/docs/repl.txt @@ -0,0 +1,30 @@ + +{{alias}}( f ) + Computes log(1+f) - f for 1+f in ~[sqrt(2)/2, sqrt(2)]. + + This function provides a common means for computing logarithms in base e. + Argument reduction and adding the final term of the polynomial must be done + by the caller for increased accuracy when different bases are used. + + Parameters + ---------- + f: number + Input value. + + Returns + ------- + out: number + Function value. + + Examples + -------- + > var y = {{alias}}( 1.0 ) + ~0.1931 + > y = {{alias}}( 1.4142135623730951 ) + ~0.4672 + > y = {{alias}}( NaN ) + NaN + + See Also + -------- + diff --git a/lib/node_modules/@stdlib/math/base/special/kernel-log/docs/types/index.d.ts b/lib/node_modules/@stdlib/math/base/special/kernel-log1p/docs/types/index.d.ts similarity index 59% rename from lib/node_modules/@stdlib/math/base/special/kernel-log/docs/types/index.d.ts rename to lib/node_modules/@stdlib/math/base/special/kernel-log1p/docs/types/index.d.ts index 5a00915ad5ed..fefc4ceb604b 100644 --- a/lib/node_modules/@stdlib/math/base/special/kernel-log/docs/types/index.d.ts +++ b/lib/node_modules/@stdlib/math/base/special/kernel-log1p/docs/types/index.d.ts @@ -19,28 +19,32 @@ // TypeScript Version: 4.1 /** -* Computes `log(x) - (x-1)` for `x` in `~[sqrt(2)/2, sqrt(2)]`. +* Computes `log(1+f) - f` for `1+f` in `~[sqrt(2)/2, sqrt(2)]`. * -* @param x - input value +* ## Notes +* +* - This function provides a common means for computing logarithms in base `e`. Argument reduction and adding the final term of the polynomial must be done by the caller for increased accuracy when different bases are used. +* +* @param f - input value * @returns function value * * @example -* var v = kernelLog( 1.0 ); -* // returns 0.0 +* var v = kernelLog1p( 1.0 ); +* // returns ~0.1931 * * @example * var sqrt = require( '@stdlib/math/base/special/sqrt' ); * -* var v = kernelLog( sqrt( 2.0 ) ); -* // returns ~-0.0676 +* var v = kernelLog1p( sqrt( 2.0 ) ); +* // returns ~0.4672 * * @example -* var v = kernelLog( NaN ); +* var v = kernelLog1p( NaN ); * // returns NaN */ -declare function kernelLog( x: number ): number; +declare function kernelLog1p( f: number ): number; // EXPORTS // -export = kernelLog; +export = kernelLog1p; diff --git a/lib/node_modules/@stdlib/math/base/special/kernel-log/docs/types/test.ts b/lib/node_modules/@stdlib/math/base/special/kernel-log1p/docs/types/test.ts similarity index 68% rename from lib/node_modules/@stdlib/math/base/special/kernel-log/docs/types/test.ts rename to lib/node_modules/@stdlib/math/base/special/kernel-log1p/docs/types/test.ts index 386b8323e92f..b89025803af6 100644 --- a/lib/node_modules/@stdlib/math/base/special/kernel-log/docs/types/test.ts +++ b/lib/node_modules/@stdlib/math/base/special/kernel-log1p/docs/types/test.ts @@ -16,28 +16,28 @@ * limitations under the License. */ -import kernelLog = require( './index' ); +import kernelLog1p = require( './index' ); // TESTS // // The function returns a number... { - kernelLog( 0.5 ); // $ExpectType number + kernelLog1p( 0.5 ); // $ExpectType number } // The compiler throws an error if the function is not provided a number... { - kernelLog( true ); // $ExpectError - kernelLog( false ); // $ExpectError - kernelLog( '5' ); // $ExpectError - kernelLog( [] ); // $ExpectError - kernelLog( {} ); // $ExpectError - kernelLog( ( x: number ): number => x ); // $ExpectError + kernelLog1p( true ); // $ExpectError + kernelLog1p( false ); // $ExpectError + kernelLog1p( '5' ); // $ExpectError + kernelLog1p( [] ); // $ExpectError + kernelLog1p( {} ); // $ExpectError + kernelLog1p( ( x: number ): number => x ); // $ExpectError } // The compiler throws an error if the function is provided an unsupported number of arguments... { - kernelLog(); // $ExpectError - kernelLog( 0, 2 ); // $ExpectError + kernelLog1p(); // $ExpectError + kernelLog1p( 0, 2 ); // $ExpectError } diff --git a/lib/node_modules/@stdlib/math/base/special/kernel-log/examples/c/Makefile b/lib/node_modules/@stdlib/math/base/special/kernel-log1p/examples/c/Makefile similarity index 100% rename from lib/node_modules/@stdlib/math/base/special/kernel-log/examples/c/Makefile rename to lib/node_modules/@stdlib/math/base/special/kernel-log1p/examples/c/Makefile diff --git a/lib/node_modules/@stdlib/math/base/special/kernel-log/examples/c/example.c b/lib/node_modules/@stdlib/math/base/special/kernel-log1p/examples/c/example.c similarity index 90% rename from lib/node_modules/@stdlib/math/base/special/kernel-log/examples/c/example.c rename to lib/node_modules/@stdlib/math/base/special/kernel-log1p/examples/c/example.c index c638157f893b..5c750c05bcd3 100644 --- a/lib/node_modules/@stdlib/math/base/special/kernel-log/examples/c/example.c +++ b/lib/node_modules/@stdlib/math/base/special/kernel-log1p/examples/c/example.c @@ -16,7 +16,7 @@ * limitations under the License. */ -#include "stdlib/math/base/special/kernel_log.h" +#include "stdlib/math/base/special/kernel_log1p.h" #include int main( void ) { @@ -25,7 +25,7 @@ int main( void ) { double out; int i; for ( i = 0; i < 10; i++ ) { - out = stdlib_base_kernel_log( x[ i ] ); + out = stdlib_base_kernel_log1p( x[ i ] ); printf ( "x[ i ]: %lf, out: %lf\n", x[ i ], out ); } } diff --git a/lib/node_modules/@stdlib/math/base/special/kernel-log/examples/index.js b/lib/node_modules/@stdlib/math/base/special/kernel-log1p/examples/index.js similarity index 88% rename from lib/node_modules/@stdlib/math/base/special/kernel-log/examples/index.js rename to lib/node_modules/@stdlib/math/base/special/kernel-log1p/examples/index.js index 77ff4bc566a6..76d76914b738 100644 --- a/lib/node_modules/@stdlib/math/base/special/kernel-log/examples/index.js +++ b/lib/node_modules/@stdlib/math/base/special/kernel-log1p/examples/index.js @@ -20,11 +20,11 @@ var linspace = require( '@stdlib/array/base/linspace' ); var sqrt = require( '@stdlib/math/base/special/sqrt' ); -var kernelLog = require( './../lib' ); +var kernelLog1p = require( './../lib' ); var x = linspace( sqrt( 2.0 ) / 2.0, sqrt( 2.0 ), 100 ); var i; for ( i = 0; i < x.length; i++ ) { - console.log( 'kernelLog(%d) = %d', x[ i ], kernelLog( x[ i ] ) ); + console.log( 'kernelLog1p(%d) = %d', x[ i ], kernelLog1p( x[ i ] ) ); } diff --git a/lib/node_modules/@stdlib/math/base/special/kernel-log/include.gypi b/lib/node_modules/@stdlib/math/base/special/kernel-log1p/include.gypi similarity index 100% rename from lib/node_modules/@stdlib/math/base/special/kernel-log/include.gypi rename to lib/node_modules/@stdlib/math/base/special/kernel-log1p/include.gypi diff --git a/lib/node_modules/@stdlib/math/base/special/kernel-log/include/stdlib/math/base/special/kernel_log.h b/lib/node_modules/@stdlib/math/base/special/kernel-log1p/include/stdlib/math/base/special/kernel_log1p.h similarity index 76% rename from lib/node_modules/@stdlib/math/base/special/kernel-log/include/stdlib/math/base/special/kernel_log.h rename to lib/node_modules/@stdlib/math/base/special/kernel-log1p/include/stdlib/math/base/special/kernel_log1p.h index 040a6a24e04b..9948e17ea039 100644 --- a/lib/node_modules/@stdlib/math/base/special/kernel-log/include/stdlib/math/base/special/kernel_log.h +++ b/lib/node_modules/@stdlib/math/base/special/kernel-log1p/include/stdlib/math/base/special/kernel_log1p.h @@ -16,8 +16,8 @@ * limitations under the License. */ -#ifndef STDLIB_MATH_BASE_SPECIAL_KERNEL_LOG_H -#define STDLIB_MATH_BASE_SPECIAL_KERNEL_LOG_H +#ifndef STDLIB_MATH_BASE_SPECIAL_KERNEL_LOG1P_H +#define STDLIB_MATH_BASE_SPECIAL_KERNEL_LOG1P_H #include @@ -29,12 +29,12 @@ extern "C" { #endif /** -* Computes `log(x) - (x-1)` for `x` in `~[sqrt(2)/2, sqrt(2)]`. +* Computes `log(1+f) - f` for `1+f` in `~[sqrt(2)/2, sqrt(2)]`. */ -double stdlib_base_kernel_log( const double x ); +double stdlib_base_kernel_log1p( const double f ); #ifdef __cplusplus } #endif -#endif // !STDLIB_MATH_BASE_SPECIAL_KERNEL_LOG_H +#endif // !STDLIB_MATH_BASE_SPECIAL_KERNEL_LOG1P_H diff --git a/lib/node_modules/@stdlib/math/base/special/kernel-log/lib/index.js b/lib/node_modules/@stdlib/math/base/special/kernel-log1p/lib/index.js similarity index 72% rename from lib/node_modules/@stdlib/math/base/special/kernel-log/lib/index.js rename to lib/node_modules/@stdlib/math/base/special/kernel-log1p/lib/index.js index a2d9dee16e1d..86d2c605e1f4 100644 --- a/lib/node_modules/@stdlib/math/base/special/kernel-log/lib/index.js +++ b/lib/node_modules/@stdlib/math/base/special/kernel-log1p/lib/index.js @@ -19,21 +19,21 @@ 'use strict'; /** -* Compute `log(x) - (x-1)` for `x` in `~[sqrt(2)/2, sqrt(2)]`. +* Compute `log(1+f) - f` for `1+f` in `~[sqrt(2)/2, sqrt(2)]`. * -* @module @stdlib/math/base/special/kernel-log +* @module @stdlib/math/base/special/kernel-log1p * * @example * var sqrt = require( '@stdlib/math/base/special/sqrt' ); -* var kernelLog = require( '@stdlib/math/base/special/kernel-log' ); +* var kernelLog1p = require( '@stdlib/math/base/special/kernel-log1p' ); * -* var v = kernelLog( 1.0 ); -* // returns 0.0 +* var v = kernelLog1p( 1.0 ); +* // returns ~0.1931 * -* v = kernelLog( sqrt( 2.0 ) ); -* // returns ~-0.0676 +* v = kernelLog1p( sqrt( 2.0 ) ); +* // returns ~0.4672 * -* v = kernelLog( NaN ); +* v = kernelLog1p( NaN ); * // returns NaN */ diff --git a/lib/node_modules/@stdlib/math/base/special/kernel-log/lib/main.js b/lib/node_modules/@stdlib/math/base/special/kernel-log1p/lib/main.js similarity index 67% rename from lib/node_modules/@stdlib/math/base/special/kernel-log/lib/main.js rename to lib/node_modules/@stdlib/math/base/special/kernel-log1p/lib/main.js index 49781fafdda1..b6c219f78fcc 100644 --- a/lib/node_modules/@stdlib/math/base/special/kernel-log/lib/main.js +++ b/lib/node_modules/@stdlib/math/base/special/kernel-log1p/lib/main.js @@ -18,7 +18,7 @@ * * ## Notice * -* The following copyright and license were part of the original implementation available as part of [FreeBSD]{@link https://svnweb.freebsd.org/base/release/9.3.0/lib/msun/src/k_log.h}. The implementation follows the original, but has been modified for JavaScript. +* The following copyright and license were part of the original implementation available as part of [FreeBSD]{@link https://svnweb.freebsd.org/base/release/12.2.0/lib/msun/src/k_log.h}. The implementation follows the original, but has been modified for JavaScript. * * ```text * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. @@ -34,26 +34,18 @@ // MODULES // -var getHighWord = require( '@stdlib/number/float64/base/get-high-word' ); -var HIGH_SIGNIFICAND_MASK = require( '@stdlib/constants/float64/high-word-significand-mask' ); var polyvalP = require( './polyval_p.js' ); var polyvalQ = require( './polyval_q.js' ); -// VARIABLES // - -// 1/3 -var ONE_THIRD = 0.33333333333333333; - - // MAIN // /** -* Computes `log(x) - (x-1)` for `x` in `~[sqrt(2)/2, sqrt(2)]`. +* Computes `log(1+f) - f` for `1+f` in `~[sqrt(2)/2, sqrt(2)]`. * * ## Method * -* The following describes the overall strategy for computing logarithms in base \\(e\\). The argument reduction and adding the final term of the polynomial are done by the caller for increased accuracy when different bases are used. +* This function is a helper function for computing logarithms in base \\(e\\), and what follows describes the overall strategy for doing so. The argument reduction and adding the final term of the polynomial are done by the caller for increased accuracy when different bases are used. * * 1. Argument Reduction. Find \\(k\\) and \\(f\\) such that * @@ -124,78 +116,41 @@ var ONE_THIRD = 0.33333333333333333; * * where \\(n \cdot \operatorname{ln2}_{hi}\\) is always exact for \\(|n| < 2000\\). * -* ## Special Cases -* -* ```tex -* \begin{align*} -* \operatorname{log}(x < 0) &= \mathrm{NaN} \\ -* \operatorname{log}(\infty) &= \infty \\ -* \operatorname{log}(0) &= -\infty \\ -* \operatorname{log}(\mathrm{NaN}) &= \mathrm{NaN} -* \end{align*} -* ``` -* -* ## Notes -* -* - According to an error analysis, the error is always less than 1 ulp (unit in the last place). -* -* @param {number} x - input value +* @param {number} f - input value * @returns {number} function value * * @example -* var v = kernelLog( 1.0 ); -* // returns 0.0 +* var v = kernelLog1p( 1.0 ); +* // returns ~0.1931 * * @example -* var sqrt = require( '@stdlib/math/base/special/sqrt' ); -* -* var v = kernelLog( sqrt( 2.0 ) ); -* // returns ~-0.0676 +* var v = kernelLog1p( 1.4142135623730951 ); +* // returns ~0.4672 * * @example -* var v = kernelLog( NaN ); +* var v = kernelLog1p( NaN ); * // returns NaN */ -function kernelLog( x ) { +function kernelLog1p( f ) { var hfsq; var t1; var t2; - var hx; - var f; var s; var z; var R; var w; - var i; - var j; - hx = getHighWord( x ); - f = x - 1.0; - if ( ( HIGH_SIGNIFICAND_MASK & (2+hx) ) < 3 ) { - // Case: -2**-20 <= f < 2**-20 - if ( f === 0.0 ) { - return 0.0; - } - return f * f * ( (ONE_THIRD*f) - 0.5 ); - } s = f / ( 2.0 + f ); z = s * s; - hx &= HIGH_SIGNIFICAND_MASK; - i = ( hx - 0x6147a )|0; // asm type annotation w = z * z; - j = ( 0x6b851 - hx )|0; // asm type annotation t1 = w * polyvalP( w ); t2 = z * polyvalQ( w ); - i |= j; R = t2 + t1; - if ( i > 0 ) { - hfsq = 0.5 * f * f; - return ( s * (hfsq+R) ) - hfsq; - } - return s * (R-f); + hfsq = 0.5 * f * f; + return s * ( hfsq + R ); } // EXPORTS // -module.exports = kernelLog; +module.exports = kernelLog1p; diff --git a/lib/node_modules/@stdlib/math/base/special/kernel-log/lib/native.js b/lib/node_modules/@stdlib/math/base/special/kernel-log1p/lib/native.js similarity index 73% rename from lib/node_modules/@stdlib/math/base/special/kernel-log/lib/native.js rename to lib/node_modules/@stdlib/math/base/special/kernel-log1p/lib/native.js index 2b0e1dab29fa..fb8f599a7529 100644 --- a/lib/node_modules/@stdlib/math/base/special/kernel-log/lib/native.js +++ b/lib/node_modules/@stdlib/math/base/special/kernel-log1p/lib/native.js @@ -26,31 +26,31 @@ var addon = require( './../src/addon.node' ); // MAIN // /** -* Computes `log(x) - (x-1)` for `x` in `~[sqrt(2)/2, sqrt(2)]`. +* Computes `log(1+f) - f` for `1+f` in `~[sqrt(2)/2, sqrt(2)]`. * * @private -* @param {number} x - input value +* @param {number} f - input value * @returns {number} function value * * @example -* var v = kernelLog( 1.0 ); -* // returns 0.0 +* var v = kernelLog1p( 1.0 ); +* // returns ~0.1931 * * @example * var sqrt = require( '@stdlib/math/base/special/sqrt' ); * -* var v = kernelLog( sqrt( 2.0 ) ); -* // returns ~-0.0676 +* var v = kernelLog1p( sqrt( 2.0 ) ); +* // returns ~0.4672 * * @example -* var v = kernelLog( NaN ); +* var v = kernelLog1p( NaN ); * // returns NaN */ -function kernelLog( x ) { - return addon( x ); +function kernelLog1p( f ) { + return addon( f ); } // EXPORTS // -module.exports = kernelLog; +module.exports = kernelLog1p; diff --git a/lib/node_modules/@stdlib/math/base/special/kernel-log/lib/polyval_p.js b/lib/node_modules/@stdlib/math/base/special/kernel-log1p/lib/polyval_p.js similarity index 100% rename from lib/node_modules/@stdlib/math/base/special/kernel-log/lib/polyval_p.js rename to lib/node_modules/@stdlib/math/base/special/kernel-log1p/lib/polyval_p.js diff --git a/lib/node_modules/@stdlib/math/base/special/kernel-log/lib/polyval_q.js b/lib/node_modules/@stdlib/math/base/special/kernel-log1p/lib/polyval_q.js similarity index 100% rename from lib/node_modules/@stdlib/math/base/special/kernel-log/lib/polyval_q.js rename to lib/node_modules/@stdlib/math/base/special/kernel-log1p/lib/polyval_q.js diff --git a/lib/node_modules/@stdlib/math/base/special/kernel-log/manifest.json b/lib/node_modules/@stdlib/math/base/special/kernel-log1p/manifest.json similarity index 68% rename from lib/node_modules/@stdlib/math/base/special/kernel-log/manifest.json rename to lib/node_modules/@stdlib/math/base/special/kernel-log1p/manifest.json index 81b3c8e48cc8..6bfc690068b2 100644 --- a/lib/node_modules/@stdlib/math/base/special/kernel-log/manifest.json +++ b/lib/node_modules/@stdlib/math/base/special/kernel-log1p/manifest.json @@ -36,9 +36,7 @@ "libraries": [], "libpath": [], "dependencies": [ - "@stdlib/math/base/napi/unary", - "@stdlib/number/float64/base/get-high-word", - "@stdlib/constants/float64/high-word-significand-mask" + "@stdlib/math/base/napi/unary" ] }, { @@ -51,10 +49,7 @@ ], "libraries": [], "libpath": [], - "dependencies": [ - "@stdlib/number/float64/base/get-high-word", - "@stdlib/constants/float64/high-word-significand-mask" - ] + "dependencies": [] }, { "task": "examples", @@ -66,10 +61,7 @@ ], "libraries": [], "libpath": [], - "dependencies": [ - "@stdlib/number/float64/base/get-high-word", - "@stdlib/constants/float64/high-word-significand-mask" - ] + "dependencies": [] } ] } diff --git a/lib/node_modules/@stdlib/math/base/special/kernel-log/package.json b/lib/node_modules/@stdlib/math/base/special/kernel-log1p/package.json similarity index 90% rename from lib/node_modules/@stdlib/math/base/special/kernel-log/package.json rename to lib/node_modules/@stdlib/math/base/special/kernel-log1p/package.json index 5b39c4ade781..57345df6e37d 100644 --- a/lib/node_modules/@stdlib/math/base/special/kernel-log/package.json +++ b/lib/node_modules/@stdlib/math/base/special/kernel-log1p/package.json @@ -1,7 +1,7 @@ { - "name": "@stdlib/math/base/special/kernel-log", + "name": "@stdlib/math/base/special/kernel-log1p", "version": "0.0.0", - "description": "Compute log(x) - (x-1) for x in ~[sqrt(2)/2, sqrt(2)].", + "description": "Compute log(1+f) - f for 1+f in ~[sqrt(2)/2, sqrt(2)].", "license": "Apache-2.0", "author": { "name": "The Stdlib Authors", @@ -57,7 +57,6 @@ "stdmath", "mathematics", "math", - "math.log", "log", "kernel", "logarithm" diff --git a/lib/node_modules/@stdlib/math/base/special/kernel-log/scripts/evalpoly.js b/lib/node_modules/@stdlib/math/base/special/kernel-log1p/scripts/evalpoly.js similarity index 100% rename from lib/node_modules/@stdlib/math/base/special/kernel-log/scripts/evalpoly.js rename to lib/node_modules/@stdlib/math/base/special/kernel-log1p/scripts/evalpoly.js diff --git a/lib/node_modules/@stdlib/math/base/special/kernel-log/src/Makefile b/lib/node_modules/@stdlib/math/base/special/kernel-log1p/src/Makefile similarity index 100% rename from lib/node_modules/@stdlib/math/base/special/kernel-log/src/Makefile rename to lib/node_modules/@stdlib/math/base/special/kernel-log1p/src/Makefile diff --git a/lib/node_modules/@stdlib/math/base/special/kernel-log/src/addon.c b/lib/node_modules/@stdlib/math/base/special/kernel-log1p/src/addon.c similarity index 86% rename from lib/node_modules/@stdlib/math/base/special/kernel-log/src/addon.c rename to lib/node_modules/@stdlib/math/base/special/kernel-log1p/src/addon.c index 37b8bc75ede3..daa620891625 100644 --- a/lib/node_modules/@stdlib/math/base/special/kernel-log/src/addon.c +++ b/lib/node_modules/@stdlib/math/base/special/kernel-log1p/src/addon.c @@ -16,8 +16,8 @@ * limitations under the License. */ -#include "stdlib/math/base/special/kernel_log.h" +#include "stdlib/math/base/special/kernel_log1p.h" #include "stdlib/math/base/napi/unary.h" // cppcheck-suppress shadowFunction -STDLIB_MATH_BASE_NAPI_MODULE_D_D( stdlib_base_kernel_log ) +STDLIB_MATH_BASE_NAPI_MODULE_D_D( stdlib_base_kernel_log1p ) diff --git a/lib/node_modules/@stdlib/math/base/special/kernel-log/src/main.c b/lib/node_modules/@stdlib/math/base/special/kernel-log1p/src/main.c similarity index 72% rename from lib/node_modules/@stdlib/math/base/special/kernel-log/src/main.c rename to lib/node_modules/@stdlib/math/base/special/kernel-log1p/src/main.c index 1cbf8cd656c5..f33c68b3cbb1 100644 --- a/lib/node_modules/@stdlib/math/base/special/kernel-log/src/main.c +++ b/lib/node_modules/@stdlib/math/base/special/kernel-log1p/src/main.c @@ -18,7 +18,7 @@ * * ## Notice * -* The following copyright, license, and long comment were part of the original implementation available as part of [FreeBSD]{@link https://svnweb.freebsd.org/base/release/9.3.0/lib/msun/src/k_log.c}. The implementation follows the original, but has been modified according to project conventions. +* The following copyright, license, and long comment were part of the original implementation available as part of [FreeBSD]{@link https://svnweb.freebsd.org/base/release/12.2.0/lib/msun/src/k_log.c}. The implementation follows the original, but has been modified according to project conventions. * * ```text * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. @@ -30,14 +30,9 @@ * ``` */ -#include "stdlib/math/base/special/kernel_log.h" -#include "stdlib/number/float64/base/get_high_word.h" -#include "stdlib/constants/float64/high_word_significand_mask.h" +#include "stdlib/math/base/special/kernel_log1p.h" #include -// 1/3 -static const double ONE_THIRD = 0.33333333333333333; - /* Begin auto-generated functions. The following functions are auto-generated. Do not edit directly. */ // BEGIN: polyval_p @@ -83,11 +78,11 @@ static double polyval_q( const double x ) { /* End auto-generated functions. */ /** -* Computes `log(x) - (x-1)` for `x` in `~[sqrt(2)/2, sqrt(2)]`. +* Computes `log(1+f) - f` for `1+f` in `~[sqrt(2)/2, sqrt(2)]`. * * ## Method * -* The following describes the overall strategy for computing logarithms in base \\(e\\). The argument reduction and adding the final term of the polynomial are done by the caller for increased accuracy when different bases are used. +* This function is a helper function for computing logarithms in base \\(e\\), and what follows describes the overall strategy for doing so. The argument reduction and adding the final term of the polynomial are done by the caller for increased accuracy when different bases are used. * * 1. Argument Reduction. Find \\(k\\) and \\(f\\) such that * @@ -158,65 +153,28 @@ static double polyval_q( const double x ) { * * where \\(n \cdot \operatorname{ln2}_{hi}\\) is always exact for \\(|n| < 2000\\). * -* ## Special Cases -* -* ```tex -* \begin{align*} -* \operatorname{log}(x < 0) &= \mathrm{NaN} \\ -* \operatorname{log}(\infty) &= \infty \\ -* \operatorname{log}(0) &= -\infty \\ -* \operatorname{log}(\mathrm{NaN}) &= \mathrm{NaN} -* \end{align*} -* ``` -* -* ## Notes -* -* - According to an error analysis, the error is always less than 1 ulp (unit in the last place). -* -* @param x input value +* @param f input value * @return output value * * @example -* double out = stdlib_base_kernel_log( 1.0 ); -* // returns 0.0 +* double out = stdlib_base_kernel_log1p( 1.0 ); +* // returns ~0.1931 */ -double stdlib_base_kernel_log( const double x ) { +double stdlib_base_kernel_log1p( const double f ) { double hfsq; - uint32_t hx; - int32_t ihx; - int32_t i; - int32_t j; double t1; double t2; - double f; double R; double s; double z; double w; - stdlib_base_float64_get_high_word( x, &hx ); - ihx = (int32_t)hx; - f = x - 1.0; - if ( ( STDLIB_CONSTANT_FLOAT64_HIGH_WORD_SIGNIFICAND_MASK & (2+ihx) ) < 3 ) { - // Case: -2**-20 <= f < 2**-20 - if ( f == 0.0 ) { - return 0.0; - } - return f * f * ( (ONE_THIRD*f) - 0.5 ); - } s = f / ( 2.0 + f ); z = s * s; - ihx &= STDLIB_CONSTANT_FLOAT64_HIGH_WORD_SIGNIFICAND_MASK; - i = ihx - 0x6147a; w = z * z; - j = 0x6b851 - ihx; t1 = w * polyval_p( w ); t2 = z * polyval_q( w ); - i |= j; R = t2 + t1; - if ( i > 0 ) { - hfsq = 0.5 * f * f; - return ( s * (hfsq+R) ) - hfsq; - } - return s * (R-f); + hfsq = 0.5 * f * f; + return s * ( hfsq + R ); } diff --git a/lib/node_modules/@stdlib/math/base/special/kernel-log/test/test.js b/lib/node_modules/@stdlib/math/base/special/kernel-log1p/test/test.js similarity index 55% rename from lib/node_modules/@stdlib/math/base/special/kernel-log/test/test.js rename to lib/node_modules/@stdlib/math/base/special/kernel-log1p/test/test.js index 4eb54589ffa9..a7c628095c34 100644 --- a/lib/node_modules/@stdlib/math/base/special/kernel-log/test/test.js +++ b/lib/node_modules/@stdlib/math/base/special/kernel-log1p/test/test.js @@ -24,62 +24,24 @@ var tape = require( 'tape' ); var isnan = require( '@stdlib/math/base/assert/is-nan' ); var abs = require( '@stdlib/math/base/special/abs' ); var EPS = require( '@stdlib/constants/float64/eps' ); -var kernelLog = require( './../lib' ); - - -// FIXTURES // - -var data = require( './fixtures/data.json' ); -var tiny = require( './fixtures/tiny.json' ); +var kernelLog1p = require( './../lib' ); // TESTS // tape( 'main export is a function', function test( t ) { t.ok( true, __filename ); - t.strictEqual( typeof kernelLog, 'function', 'main export is a function' ); + t.strictEqual( typeof kernelLog1p, 'function', 'main export is a function' ); t.end(); }); tape( 'the function returns `NaN` if provided `NaN`', function test( t ) { - var v = kernelLog( NaN ); + var v = kernelLog1p( NaN ); t.equal( isnan( v ), true, 'returns expected value' ); t.end(); }); -tape( 'the function returns `0.0` if provided `x = 1.0`', function test( t ) { - var y = kernelLog( 1.0 ); - t.equal( y, 0.0, 'returns 0.0' ); - t.end(); -}); - -tape( 'the function correctly computes `log(x) - (x-1)` for `x` satisfying `sqrt( 2 ) / 2 <= x < sqrt( 2 )`', function test( t ) { - var expected; - var delta; - var tol; - var x; - var y; - var i; - var e; - - x = data.x; - expected = data.expected; - - for ( i = 0; i < x.length; i++ ) { - y = kernelLog( x[ i ] ); - e = expected[ i ]; - if ( y === e ) { - t.equal( y, e, 'x: '+x[ i ]+'. E: '+e ); - } else { - delta = abs( y - e ); - tol = 1.0 * EPS * abs( e ); - t.ok( delta <= tol, 'within tolerance. x: '+x[ i ]+'. y: '+y+'. E: '+e+'. tol: '+tol+'. Δ: '+delta+'.' ); - } - } - t.end(); -}); - -tape( 'the function correctly computes `log(x) - (x-1)` for `x` satisfying `-2^-20 <= x - 1 < 2^-20`', function test( t ) { +tape( 'the function correctly computes `log(1+f) - f` for `1+f` satisfying `sqrt( 2 ) / 2 < 1+f < sqrt( 2 )`', function test( t ) { var expected; var delta; var tol; @@ -88,11 +50,15 @@ tape( 'the function correctly computes `log(x) - (x-1)` for `x` satisfying `-2^- var i; var e; - x = tiny.x; - expected = tiny.expected; + x = [ + 1.4142135623730951 + ]; + expected = [ + 0.46716000147788844 + ]; for ( i = 0; i < x.length; i++ ) { - y = kernelLog( x[ i ] ); + y = kernelLog1p( x[ i ] ); e = expected[ i ]; if ( y === e ) { t.equal( y, e, 'x: '+x[ i ]+'. E: '+e ); diff --git a/lib/node_modules/@stdlib/math/base/special/kernel-log/test/test.native.js b/lib/node_modules/@stdlib/math/base/special/kernel-log1p/test/test.native.js similarity index 56% rename from lib/node_modules/@stdlib/math/base/special/kernel-log/test/test.native.js rename to lib/node_modules/@stdlib/math/base/special/kernel-log1p/test/test.native.js index 60615d0dbff8..9ae89fc6e153 100644 --- a/lib/node_modules/@stdlib/math/base/special/kernel-log/test/test.native.js +++ b/lib/node_modules/@stdlib/math/base/special/kernel-log1p/test/test.native.js @@ -30,65 +30,27 @@ var tryRequire = require( '@stdlib/utils/try-require' ); // VARIABLES // -var kernelLog = tryRequire( resolve( __dirname, './../lib/native.js' ) ); +var kernelLog1p = tryRequire( resolve( __dirname, './../lib/native.js' ) ); var opts = { - 'skip': ( kernelLog instanceof Error ) + 'skip': ( kernelLog1p instanceof Error ) }; -// FIXTURES // - -var data = require( './fixtures/data.json' ); -var tiny = require( './fixtures/tiny.json' ); - - // TESTS // tape( 'main export is a function', opts, function test( t ) { t.ok( true, __filename ); - t.strictEqual( typeof kernelLog, 'function', 'main export is a function' ); + t.strictEqual( typeof kernelLog1p, 'function', 'main export is a function' ); t.end(); }); tape( 'the function returns `NaN` if provided `NaN`', opts, function test( t ) { - var v = kernelLog( NaN ); + var v = kernelLog1p( NaN ); t.equal( isnan( v ), true, 'returns expected value' ); t.end(); }); -tape( 'the function returns `0.0` if provided `x = 1.0`', opts, function test( t ) { - var y = kernelLog( 1.0 ); - t.equal( y, 0.0, 'returns 0.0' ); - t.end(); -}); - -tape( 'the function correctly computes `log(x) - (x-1)` for `x` satisfying `sqrt( 2 ) / 2 <= x < sqrt( 2 )`', opts, function test( t ) { - var expected; - var delta; - var tol; - var x; - var y; - var i; - var e; - - x = data.x; - expected = data.expected; - - for ( i = 0; i < x.length; i++ ) { - y = kernelLog( x[ i ] ); - e = expected[ i ]; - if ( y === e ) { - t.equal( y, e, 'x: '+x[ i ]+'. E: '+e ); - } else { - delta = abs( y - e ); - tol = 1.0 * EPS * abs( e ); - t.ok( delta <= tol, 'within tolerance. x: '+x[ i ]+'. y: '+y+'. E: '+e+'. tol: '+tol+'. Δ: '+delta+'.' ); - } - } - t.end(); -}); - -tape( 'the function correctly computes `log(x) - (x-1)` for `x` satisfying `-2^-20 <= x - 1 < 2^-20`', opts, function test( t ) { +tape( 'the function correctly computes `log(1+f) - f` for `1+f` satisfying `sqrt( 2 ) / 2 < 1+f < sqrt( 2 )`', opts, function test( t ) { var expected; var delta; var tol; @@ -97,11 +59,15 @@ tape( 'the function correctly computes `log(x) - (x-1)` for `x` satisfying `-2^- var i; var e; - x = tiny.x; - expected = tiny.expected; + x = [ + 1.4142135623730951 + ]; + expected = [ + 0.46716000147788844 + ]; for ( i = 0; i < x.length; i++ ) { - y = kernelLog( x[ i ] ); + y = kernelLog1p( x[ i ] ); e = expected[ i ]; if ( y === e ) { t.equal( y, e, 'x: '+x[ i ]+'. E: '+e ); From 630e098494c58ed2c143ae9e73a723150d3318f4 Mon Sep 17 00:00:00 2001 From: Athan Reines Date: Sun, 14 Apr 2024 01:53:19 -0700 Subject: [PATCH 12/13] docs: update example --- .../@stdlib/math/base/special/kernel-log1p/lib/native.js | 4 +--- 1 file changed, 1 insertion(+), 3 deletions(-) diff --git a/lib/node_modules/@stdlib/math/base/special/kernel-log1p/lib/native.js b/lib/node_modules/@stdlib/math/base/special/kernel-log1p/lib/native.js index fb8f599a7529..e870e168af59 100644 --- a/lib/node_modules/@stdlib/math/base/special/kernel-log1p/lib/native.js +++ b/lib/node_modules/@stdlib/math/base/special/kernel-log1p/lib/native.js @@ -37,9 +37,7 @@ var addon = require( './../src/addon.node' ); * // returns ~0.1931 * * @example -* var sqrt = require( '@stdlib/math/base/special/sqrt' ); -* -* var v = kernelLog1p( sqrt( 2.0 ) ); +* var v = kernelLog1p( 1.4142135623730951 ); * // returns ~0.4672 * * @example From 42adebe84be3a15e084b1569086010eb70b9cab1 Mon Sep 17 00:00:00 2001 From: Athan Date: Sun, 14 Apr 2024 02:44:16 -0700 Subject: [PATCH 13/13] Apply suggestions from code review Signed-off-by: Athan --- .../@stdlib/math/base/special/kernel-log1p/docs/repl.txt | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/lib/node_modules/@stdlib/math/base/special/kernel-log1p/docs/repl.txt b/lib/node_modules/@stdlib/math/base/special/kernel-log1p/docs/repl.txt index 15dd1039a1b8..54f8a0178c7b 100644 --- a/lib/node_modules/@stdlib/math/base/special/kernel-log1p/docs/repl.txt +++ b/lib/node_modules/@stdlib/math/base/special/kernel-log1p/docs/repl.txt @@ -1,6 +1,6 @@ {{alias}}( f ) - Computes log(1+f) - f for 1+f in ~[sqrt(2)/2, sqrt(2)]. + Computes `log(1+f) - f` for `1+f` in ~[sqrt(2)/2, sqrt(2)]. This function provides a common means for computing logarithms in base e. Argument reduction and adding the final term of the polynomial must be done