From bcf2d8fb6083143b2d87d79b70d9ccff4500f919 Mon Sep 17 00:00:00 2001 From: Om-A-osc Date: Fri, 3 Apr 2026 20:24:42 +0530 Subject: [PATCH] feat: add `stats/base/dists/anglit/variance` --- type: pre_commit_static_analysis_report description: Results of running static analysis checks when committing changes. report: - task: lint_filenames status: passed - task: lint_editorconfig status: passed - task: lint_markdown status: passed - task: lint_package_json status: passed - task: lint_repl_help status: passed - task: lint_javascript_src status: passed - task: lint_javascript_cli status: na - task: lint_javascript_examples status: passed - task: lint_javascript_tests status: passed - task: lint_javascript_benchmarks status: passed - task: lint_python status: passed - task: lint_r status: na - task: lint_c_src status: passed - task: lint_c_examples status: passed - task: lint_c_benchmarks status: passed - task: lint_c_tests_fixtures status: na - task: lint_shell status: na - task: 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a/lib/node_modules/@stdlib/stats/base/dists/anglit/variance/README.md b/lib/node_modules/@stdlib/stats/base/dists/anglit/variance/README.md new file mode 100644 index 000000000000..674e96938681 --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/dists/anglit/variance/README.md @@ -0,0 +1,247 @@ + + +# Variance + +> [Anglit][anglit-distribution] distribution [variance][variance]. + + + +
+ +The [variance][variance] for an [anglit][anglit-distribution] random variable with location parameter `mu` and scale parameter `sigma` is + + + +```math +\mathop{\mathrm{Var}}\left( X \right) = \sigma^{2}\left({\frac{\pi^{2}}{16}}-{\frac{1}{2}}\right) +``` + + + +
+ + + + + +
+ +## Usage + +```javascript +var variance = require( '@stdlib/stats/base/dists/anglit/variance' ); +``` + +#### variance( mu, sigma ) + +Returns the [variance][variance] for an [anglit][anglit-distribution] distribution with location parameter `mu` and scale parameter `sigma`. + +```javascript +var y = variance( 0.0, 1.0 ); +// returns ~0.117 + +y = variance( 1.0, 2.0 ); +// returns ~0.467 + +y = variance( -3.0, 4.0 ); +// returns ~1.870 +``` + +If provided `NaN` as any argument, the function returns `NaN`. + +```javascript +var y = variance( NaN, 1.0 ); +// returns NaN + +y = variance( 0.0, NaN ); +// returns NaN +``` + +If provided `sigma <= 0`, the function returns `NaN`. + +```javascript +var y = variance( 0.0, 0.0 ); +// returns NaN + +y = variance( 0.0, -1.0 ); +// returns NaN +``` + +
+ + + + + +
+ +
+ + + + + +
+ +## Examples + + + +```javascript +var uniform = require( '@stdlib/random/array/uniform' ); +var logEachMap = require( '@stdlib/console/log-each-map' ); +var variance = require( '@stdlib/stats/base/dists/anglit/variance' ); + +var opts = { + 'dtype': 'float64' +}; +var mu = uniform( 10, -5.0, 5.0, opts ); +var sigma = uniform( 10, 0.1, 20.0, opts ); + +logEachMap( 'µ: %0.4f, σ: %0.4f, Var(X;µ,σ): %0.4f', mu, sigma, variance ); +``` + +
+ + + + + +* * * + +
+ +## C APIs + + + +
+ +
+ + + + + +
+ +### Usage + +```c +#include "stdlib/stats/base/dists/anglit/variance.h" +``` + +#### stdlib_base_dists_anglit_variance( mu, sigma ) + +Returns the variance for an anglit distribution with location `mu` and scale `sigma`. + +```c +double out = stdlib_base_dists_anglit_variance( 0.0, 1.0 ); +// returns ~0.117 +``` + +The function accepts the following arguments: + +- **mu**: `[in] double` location parameter. +- **sigma**: `[in] double` scale parameter. + +```c +double stdlib_base_dists_anglit_variance( const double mu, const double sigma ); +``` + +
+ + + + + +
+ +
+ + + + + +
+ +### Examples + +```c +#include "stdlib/stats/base/dists/anglit/variance.h" +#include +#include + +static double random_uniform( const double min, const double max ) { + double v = (double)rand() / ( (double)RAND_MAX + 1.0 ); + return min + ( v*(max-min) ); +} + +int main( void ) { + double mu; + double sigma; + double y; + int i; + + for ( i = 0; i < 25; i++ ) { + mu = random_uniform( -5.0, 5.0 ); + sigma = random_uniform( 0.1, 20.0 ); + y = stdlib_base_dists_anglit_variance( mu, sigma ); + printf( "µ: %lf, σ: %lf, Var(X;µ,σ): %lf\n", mu, sigma, y ); + } +} +``` + +
+ + + +
+ + + + + +
+ +
+ + + + + +
+ +
+ + + + + +
+ +[variance]: https://en.wikipedia.org/wiki/Variance + +[anglit-distribution]: https://docs.scipy.org/doc/scipy/reference/generated/scipy.stats.anglit.html + +
+ + diff --git a/lib/node_modules/@stdlib/stats/base/dists/anglit/variance/benchmark/benchmark.js b/lib/node_modules/@stdlib/stats/base/dists/anglit/variance/benchmark/benchmark.js new file mode 100644 index 000000000000..6fc9ed7b3bb5 --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/dists/anglit/variance/benchmark/benchmark.js @@ -0,0 +1,59 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2026 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +'use strict'; + +// MODULES // + +var bench = require( '@stdlib/bench' ); +var uniform = require( '@stdlib/random/array/uniform' ); +var isnan = require( '@stdlib/math/base/assert/is-nan' ); +var EPS = require( '@stdlib/constants/float64/eps' ); +var pkg = require( './../package.json' ).name; +var variance = require( './../lib' ); + + +// MAIN // + +bench( pkg, function benchmark( b ) { + var sigma; + var opts; + var mu; + var y; + var i; + + opts = { + 'dtype': 'float64' + }; + mu = uniform( 100, -50.0, 50.0, opts ); + sigma = uniform( 100, EPS, 20.0, opts ); + + b.tic(); + for ( i = 0; i < b.iterations; i++ ) { + y = variance( mu[ i % mu.length ], sigma[ i % sigma.length ] ); + 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/stats/base/dists/anglit/variance/benchmark/benchmark.native.js b/lib/node_modules/@stdlib/stats/base/dists/anglit/variance/benchmark/benchmark.native.js new file mode 100644 index 000000000000..f22f7628b546 --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/dists/anglit/variance/benchmark/benchmark.native.js @@ -0,0 +1,69 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2026 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 tryRequire = require( '@stdlib/utils/try-require' ); +var uniform = require( '@stdlib/random/array/uniform' ); +var isnan = require( '@stdlib/math/base/assert/is-nan' ); +var EPS = require( '@stdlib/constants/float64/eps' ); +var format = require( '@stdlib/string/format' ); +var pkg = require( './../package.json' ).name; + + +// VARIABLES // + +var variance = tryRequire( resolve( __dirname, './../lib/native.js' ) ); +var opts = { + 'skip': ( variance instanceof Error ) +}; + + +// MAIN // + +bench( format( '%s::native', pkg ), opts, function benchmark( b ) { + var sigma; + var opts; + var mu; + var y; + var i; + + opts = { + 'dtype': 'float64' + }; + mu = uniform( 100, -50.0, 50.0, opts ); + sigma = uniform( 100, EPS, 20.0, opts ); + + b.tic(); + for ( i = 0; i < b.iterations; i++ ) { + y = variance( mu[ i % mu.length ], sigma[ i % sigma.length ] ); + 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/stats/base/dists/anglit/variance/benchmark/c/Makefile b/lib/node_modules/@stdlib/stats/base/dists/anglit/variance/benchmark/c/Makefile new file mode 100644 index 000000000000..77797913103d --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/dists/anglit/variance/benchmark/c/Makefile @@ -0,0 +1,87 @@ +#/ +# @license Apache-2.0 +# +# Copyright (c) 2026 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 + +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 + +ifdef C_COMPILER + CC := $(C_COMPILER) +else + CC := gcc +endif + +CFLAGS ?= \ + -std=c99 \ + -O3 \ + -Wall \ + -pedantic + +ifeq ($(OS), WINNT) + fPIC ?= +else + fPIC ?= -fPIC +endif + +INCLUDE ?= +SOURCE_FILES ?= +LIBRARIES ?= +LIBPATH ?= + +c_targets := benchmark.out + + +# RULES # + +all: $(c_targets) + +.PHONY: all + +$(c_targets): %.out: %.c + $(QUIET) $(CC) $(CFLAGS) $(fPIC) $(INCLUDE) -o $@ $(SOURCE_FILES) $< $(LIBPATH) -lm $(LIBRARIES) + +run: $(c_targets) + $(QUIET) ./$< + +.PHONY: run + +clean: + $(QUIET) -rm -f *.o *.out + +.PHONY: clean diff --git a/lib/node_modules/@stdlib/stats/base/dists/anglit/variance/benchmark/c/benchmark.c b/lib/node_modules/@stdlib/stats/base/dists/anglit/variance/benchmark/c/benchmark.c new file mode 100644 index 000000000000..ed66653a0604 --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/dists/anglit/variance/benchmark/c/benchmark.c @@ -0,0 +1,105 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2026 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/stats/base/dists/anglit/variance.h" +#include "stdlib/constants/float64/eps.h" +#include +#include +#include +#include + +#define NAME "anglit-variance" +#define ITERATIONS 1000000 +#define REPEATS 3 + +static void print_version( void ) { + printf( "TAP version 13\n" ); +} + +static void print_summary( int total, int passing ) { + printf( "#\n" ); + printf( "1..%d\n", total ); + printf( "# total %d\n", total ); + printf( "# pass %d\n", passing ); + printf( "#\n" ); + printf( "# ok\n" ); +} + +static void print_results( double elapsed ) { + double rate = (double)ITERATIONS / elapsed; + printf( " ---\n" ); + printf( " iterations: %d\n", ITERATIONS ); + printf( " elapsed: %0.9f\n", elapsed ); + printf( " rate: %0.9f\n", rate ); + printf( " ...\n" ); +} + +static double tic( void ) { + struct timeval now; + gettimeofday( &now, NULL ); + return (double)now.tv_sec + (double)now.tv_usec/1.0e6; +} + +static double random_uniform( const double min, const double max ) { + double v = (double)rand() / ( (double)RAND_MAX + 1.0 ); + return min + ( v*(max-min) ); +} + +static double benchmark( void ) { + double elapsed; + double mu[ 100 ]; + double sigma[ 100 ]; + double y; + double t; + int i; + + for ( i = 0; i < 100; i++ ) { + mu[ i ] = random_uniform( -50.0, 50.0 ); + sigma[ i ] = random_uniform( STDLIB_CONSTANT_FLOAT64_EPS, 20.0 ); + } + + t = tic(); + for ( i = 0; i < ITERATIONS; i++ ) { + y = stdlib_base_dists_anglit_variance( mu[ i % 100 ], sigma[ i % 100 ] ); + if ( y != y ) { + printf( "should not return NaN\n" ); + break; + } + } + elapsed = tic() - t; + if ( y != y ) { + printf( "should not return NaN\n" ); + } + return elapsed; +} + +int main( void ) { + double elapsed; + int i; + + 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/stats/base/dists/anglit/variance/binding.gyp b/lib/node_modules/@stdlib/stats/base/dists/anglit/variance/binding.gyp new file mode 100644 index 000000000000..7a682db305fc --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/dists/anglit/variance/binding.gyp @@ -0,0 +1,112 @@ +# @license Apache-2.0 +# +# Copyright (c) 2026 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 +{ + 'includes': [ + './include.gypi', + ], + 'variables': { + 'addon_target_name%': 'addon', + 'conditions': [ + [ + 'OS=="win"', + { + 'obj': 'obj', + }, + { + 'obj': 'o', + } + ], + ], + }, + 'targets': [ + { + 'target_name': '<(addon_target_name)', + 'dependencies': [], + 'include_dirs': [ + '<@(include_dirs)', + ], + 'sources': [ + '<@(src_files)', + ], + 'link_settings': { + 'libraries': [ + '<@(libraries)', + ], + 'library_dirs': [ + '<@(library_dirs)', + ], + }, + 'cflags': [ + '-Wall', + '-O3', + ], + 'cflags_c': [ + '-std=c99', + ], + 'cflags_cpp': [ + '-std=c++11', + ], + 'ldflags': [], + 'conditions': [ + [ + 'OS=="mac"', + { + 'ldflags': [ + '-undefined dynamic_lookup', + '-Wl,-no-pie', + '-Wl,-search_paths_first', + ], + }, + ], + [ + 'OS!="win"', + { + 'cflags': [ + '-fPIC', + ], + }, + ], + ], + }, + { + 'target_name': 'copy_addon', + 'type': 'none', + 'dependencies': [ + '<(addon_target_name)', + ], + 'actions': [ + { + 'action_name': 'copy_addon', + 'message': 'Copying addon...', + 'inputs': [], + 'outputs': [ + '<(addon_output_dir)/<(addon_target_name).node', + ], + 'action': [ + 'cp', + '<(PRODUCT_DIR)/<(addon_target_name).node', + '<(addon_output_dir)/<(addon_target_name).node', + ], + }, + ], + }, + ], +} diff --git a/lib/node_modules/@stdlib/stats/base/dists/anglit/variance/docs/img/equation_anglit_variance.svg b/lib/node_modules/@stdlib/stats/base/dists/anglit/variance/docs/img/equation_anglit_variance.svg new file mode 100644 index 000000000000..dcb058c6c92b --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/dists/anglit/variance/docs/img/equation_anglit_variance.svg @@ -0,0 +1,4 @@ + + + Var(X) = σ²(π²/16 - 1/2) + diff --git a/lib/node_modules/@stdlib/stats/base/dists/anglit/variance/docs/repl.txt b/lib/node_modules/@stdlib/stats/base/dists/anglit/variance/docs/repl.txt new file mode 100644 index 000000000000..313d4b912b9f --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/dists/anglit/variance/docs/repl.txt @@ -0,0 +1,37 @@ + +{{alias}}( μ, σ ) + Returns the variance of an anglit distribution with location parameter + `μ` and scale parameter `σ`. + + If provided `NaN` as any argument, the function returns `NaN`. + + If provided `σ <= 0`, the function returns `NaN`. + + Parameters + ---------- + μ: number + Location parameter. + + σ: number + Scale parameter. + + Returns + ------- + out: number + Variance. + + Examples + -------- + > var y = {{alias}}( 0.0, 1.0 ) + ~0.117 + > y = {{alias}}( 4.0, 2.0 ) + ~0.467 + > y = {{alias}}( NaN, 1.0 ) + NaN + > y = {{alias}}( 0.0, NaN ) + NaN + > y = {{alias}}( 0.0, 0.0 ) + NaN + + See Also + -------- diff --git a/lib/node_modules/@stdlib/stats/base/dists/anglit/variance/docs/types/index.d.ts b/lib/node_modules/@stdlib/stats/base/dists/anglit/variance/docs/types/index.d.ts new file mode 100644 index 000000000000..66db0d2a2e5c --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/dists/anglit/variance/docs/types/index.d.ts @@ -0,0 +1,57 @@ +/* +* @license Apache-2.0 +* +* Copyright (c) 2026 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 + +/** +* Returns the variance for an anglit distribution with location `mu` and scale `sigma`. +* +* ## Notes +* +* - If `sigma <= 0`, the function returns `NaN`. +* +* @param mu - location parameter +* @param sigma - scale parameter +* @returns variance +* +* @example +* var y = variance( 0.0, 1.0 ); +* // returns ~0.117 +* +* @example +* var y = variance( 2.0, 4.0 ); +* // returns ~1.870 +* +* @example +* var y = variance( NaN, 1.0 ); +* // returns NaN +* +* @example +* var y = variance( 0.0, NaN ); +* // returns NaN +* +* @example +* var y = variance( 0.0, 0.0 ); +* // returns NaN +*/ +declare function variance( mu: number, sigma: number ): number; + + +// EXPORTS // + +export = variance; diff --git a/lib/node_modules/@stdlib/stats/base/dists/anglit/variance/docs/types/test.ts b/lib/node_modules/@stdlib/stats/base/dists/anglit/variance/docs/types/test.ts new file mode 100644 index 000000000000..a1a9c0f0ecf2 --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/dists/anglit/variance/docs/types/test.ts @@ -0,0 +1,47 @@ +/* +* @license Apache-2.0 +* +* Copyright (c) 2026 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 variance = require( './index' ); + + +// TESTS // + +{ + variance( 0, 1 ); // $ExpectType number +} + +{ + variance( true, 1 ); // $ExpectError + variance( false, 1 ); // $ExpectError + variance( '5', 1 ); // $ExpectError + variance( [], 1 ); // $ExpectError + variance( {}, 1 ); // $ExpectError + variance( ( x: number ): number => x, 1 ); // $ExpectError + + variance( 1, true ); // $ExpectError + variance( 1, false ); // $ExpectError + variance( 1, '5' ); // $ExpectError + variance( 1, [] ); // $ExpectError + variance( 1, {} ); // $ExpectError + variance( 1, ( x: number ): number => x ); // $ExpectError +} + +{ + variance(); // $ExpectError + variance( 1 ); // $ExpectError +} diff --git a/lib/node_modules/@stdlib/stats/base/dists/anglit/variance/examples/c/Makefile b/lib/node_modules/@stdlib/stats/base/dists/anglit/variance/examples/c/Makefile new file mode 100644 index 000000000000..44ee674a1205 --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/dists/anglit/variance/examples/c/Makefile @@ -0,0 +1,87 @@ +#/ +# @license Apache-2.0 +# +# Copyright (c) 2026 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 + +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 + +ifdef C_COMPILER + CC := $(C_COMPILER) +else + CC := gcc +endif + +CFLAGS ?= \ + -std=c99 \ + -O3 \ + -Wall \ + -pedantic + +ifeq ($(OS), WINNT) + fPIC ?= +else + fPIC ?= -fPIC +endif + +INCLUDE ?= +SOURCE_FILES ?= +LIBRARIES ?= +LIBPATH ?= + +c_targets := example.out + + +# RULES # + +all: $(c_targets) + +.PHONY: all + +$(c_targets): %.out: %.c + $(QUIET) $(CC) $(CFLAGS) $(fPIC) $(INCLUDE) -o $@ $(SOURCE_FILES) $< $(LIBPATH) -lm $(LIBRARIES) + +run: $(c_targets) + $(QUIET) ./$< + +.PHONY: run + +clean: + $(QUIET) -rm -f *.o *.out + +.PHONY: clean diff --git a/lib/node_modules/@stdlib/stats/base/dists/anglit/variance/examples/c/example.c b/lib/node_modules/@stdlib/stats/base/dists/anglit/variance/examples/c/example.c new file mode 100644 index 000000000000..774e63673306 --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/dists/anglit/variance/examples/c/example.c @@ -0,0 +1,40 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2026 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/stats/base/dists/anglit/variance.h" +#include +#include + +static double random_uniform( const double min, const double max ) { + double v = (double)rand() / ( (double)RAND_MAX + 1.0 ); + return min + ( v*(max-min) ); +} + +int main( void ) { + double mu; + double sigma; + double y; + int i; + + for ( i = 0; i < 25; i++ ) { + mu = random_uniform( -5.0, 5.0 ); + sigma = random_uniform( 0.1, 20.0 ); + y = stdlib_base_dists_anglit_variance( mu, sigma ); + printf( "µ: %lf, σ: %lf, Var(X;µ,σ): %lf\n", mu, sigma, y ); + } +} diff --git a/lib/node_modules/@stdlib/stats/base/dists/anglit/variance/examples/index.js b/lib/node_modules/@stdlib/stats/base/dists/anglit/variance/examples/index.js new file mode 100644 index 000000000000..337267e545d9 --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/dists/anglit/variance/examples/index.js @@ -0,0 +1,31 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2026 The Stdlib Authors. +* +* Licensed under the Apache License, Version 2.0 (the "License"); +* you may not use this file except in compliance with the License. +* You may obtain a copy of the License at +* +* http://www.apache.org/licenses/LICENSE-2.0 +* +* Unless required by applicable law or agreed to in writing, software +* distributed under the License is distributed on an "AS IS" BASIS, +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. +* See the License for the specific language governing permissions and +* limitations under the License. +*/ + +'use strict'; + +var uniform = require( '@stdlib/random/array/uniform' ); +var logEachMap = require( '@stdlib/console/log-each-map' ); +var variance = require( './../lib' ); + +var opts = { + 'dtype': 'float64' +}; +var mu = uniform( 10, -5.0, 5.0, opts ); +var sigma = uniform( 10, 0.1, 20.0, opts ); + +logEachMap( 'µ: %0.4f, σ: %0.4f, Var(X;µ,σ): %0.4f', mu, sigma, variance ); diff --git a/lib/node_modules/@stdlib/stats/base/dists/anglit/variance/include.gypi b/lib/node_modules/@stdlib/stats/base/dists/anglit/variance/include.gypi new file mode 100644 index 000000000000..bee8d41a2caf --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/dists/anglit/variance/include.gypi @@ -0,0 +1,53 @@ +# @license Apache-2.0 +# +# Copyright (c) 2026 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': [ + '=0.10.0", + "npm": ">2.7.0" + }, + "os": [ + "aix", + "darwin", + "freebsd", + "linux", + "macos", + "openbsd", + "sunos", + "win32", + "windows" + ], + "keywords": [ + "stdlib", + "stdmath", + "statistics", + "stats", + "distribution", + "dist", + "anglit", + "continuous", + "symmetric", + "variance", + "dispersion", + "spread", + "univariate", + "location-scale" + ] +} diff --git a/lib/node_modules/@stdlib/stats/base/dists/anglit/variance/src/Makefile b/lib/node_modules/@stdlib/stats/base/dists/anglit/variance/src/Makefile new file mode 100644 index 000000000000..2caf905cedbe --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/dists/anglit/variance/src/Makefile @@ -0,0 +1,70 @@ +#/ +# @license Apache-2.0 +# +# Copyright (c) 2026 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/stats/base/dists/anglit/variance/src/addon.c b/lib/node_modules/@stdlib/stats/base/dists/anglit/variance/src/addon.c new file mode 100644 index 000000000000..4bd9600ced3e --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/dists/anglit/variance/src/addon.c @@ -0,0 +1,22 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2026 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/stats/base/dists/anglit/variance.h" +#include "stdlib/math/base/napi/binary.h" + +STDLIB_MATH_BASE_NAPI_MODULE_DD_D( stdlib_base_dists_anglit_variance ) diff --git a/lib/node_modules/@stdlib/stats/base/dists/anglit/variance/src/main.c b/lib/node_modules/@stdlib/stats/base/dists/anglit/variance/src/main.c new file mode 100644 index 000000000000..388e8405e7ca --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/dists/anglit/variance/src/main.c @@ -0,0 +1,45 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2026 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/stats/base/dists/anglit/variance.h" +#include "stdlib/math/base/assert/is_nan.h" + +// (π^2/16) - (1/2): +static const double scalar = 0.11685027506808487; + +/** +* Returns the variance for an anglit distribution with location `mu` and scale `sigma`. +* +* @param mu location parameter +* @param sigma scale parameter +* @return variance +* +* @example +* double y = stdlib_base_dists_anglit_variance( 0.0, 1.0 ); +* // returns ~0.117 +*/ +double stdlib_base_dists_anglit_variance( const double mu, const double sigma ) { + if ( + stdlib_base_is_nan( mu ) || + stdlib_base_is_nan( sigma ) || + sigma <= 0.0 + ) { + return 0.0 / 0.0; // NaN + } + return ( sigma * sigma ) * scalar; +} diff --git a/lib/node_modules/@stdlib/stats/base/dists/anglit/variance/test/fixtures/python/large_mu_large_sigma.json b/lib/node_modules/@stdlib/stats/base/dists/anglit/variance/test/fixtures/python/large_mu_large_sigma.json new file mode 100644 index 000000000000..8ba9906037aa --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/dists/anglit/variance/test/fixtures/python/large_mu_large_sigma.json @@ -0,0 +1 @@ +{"mu": [-100.0, -99.59919839679358, -99.19839679358718, -98.79759519038076, -98.39679358717434, -97.99599198396794, -97.59519038076152, -97.1943887775551, -96.7935871743487, -96.39278557114228, -95.99198396793587, -95.59118236472946, -95.19038076152304, -94.78957915831663, -94.38877755511022, -93.9879759519038, -93.58717434869739, -93.18637274549098, -92.78557114228457, 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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. + +"""Generate fixtures.""" + +import os +import json +import numpy as np +from scipy.stats import anglit + +# Get the file path: +FILE = os.path.realpath(__file__) + +# Extract the directory in which this file resides: +DIR = os.path.dirname(FILE) + + +def gen(loc, sigma, name): + """Generate fixture data and write to file. + + # Arguments + + * `loc`: location parameter values + * `sigma`: scale parameter values + * `name::str`: output filename + """ + y = anglit.var(loc=loc, scale=sigma) + + # Store data to be written to file as a dictionary: + data = { + "mu": loc.tolist(), + "sigma": sigma.tolist(), + "expected": y.tolist() + } + + # Based on the script directory, create an output filepath: + filepath = os.path.join(DIR, name) + + # Write the data to the output filepath as JSON: + with open(filepath, "w", encoding="utf-8") as outfile: + json.dump(data, outfile) + + +def main(): + """Generate fixture data.""" + n = 500 + + # Small location parameter and small scale parameter: + loc = np.linspace(-1.0, 1.0, n) + sigma = np.linspace(0.1, 1.0, n) + gen(loc, sigma, "small_mu_small_sigma.json") + + # Small location parameter and large scale parameter: + loc = np.linspace(-1.0, 1.0, n) + sigma = np.linspace(1.0, 10.0, n) + gen(loc, sigma, "small_mu_large_sigma.json") + + # Large location parameter and small scale parameter: + loc = np.linspace(-100.0, 100.0, n) + sigma = np.linspace(0.1, 1.0, n) + gen(loc, sigma, "large_mu_small_sigma.json") + + # Large location parameter and large scale parameter: + loc = np.linspace(-100.0, 100.0, n) + sigma = np.linspace(1.0, 10.0, n) + gen(loc, sigma, "large_mu_large_sigma.json") + + +if __name__ == "__main__": + main() diff --git a/lib/node_modules/@stdlib/stats/base/dists/anglit/variance/test/fixtures/python/small_mu_large_sigma.json b/lib/node_modules/@stdlib/stats/base/dists/anglit/variance/test/fixtures/python/small_mu_large_sigma.json new file mode 100644 index 000000000000..ebab86faa30c --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/dists/anglit/variance/test/fixtures/python/small_mu_large_sigma.json @@ -0,0 +1 @@ +{"mu": [-1.0, -0.9959919839679359, -0.9919839679358717, -0.9879759519038076, -0.9839679358717435, -0.9799599198396793, -0.9759519038076152, -0.9719438877755511, -0.9679358717434869, -0.9639278557114228, -0.9599198396793587, -0.9559118236472945, -0.9519038076152304, -0.9478957915831663, -0.9438877755511023, -0.9398797595190381, -0.935871743486974, -0.9318637274549099, -0.9278557114228457, -0.9238476953907816, -0.9198396793587175, -0.9158316633266533, -0.9118236472945892, -0.9078156312625251, 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0.11102372140261227, 0.11143496232754999, 0.11184696348013984, 0.11225972486038183, 0.11267324646827594, 0.1130875283038222, 0.1135025703670206, 0.11391837265787115, 0.11433493517637383, 0.11475225792252866, 0.11517034089633565, 0.11558918409779474, 0.11600878752690598, 0.11642915118366935, 0.11685027506808487]} diff --git a/lib/node_modules/@stdlib/stats/base/dists/anglit/variance/test/test.js b/lib/node_modules/@stdlib/stats/base/dists/anglit/variance/test/test.js new file mode 100644 index 000000000000..7f61dade8858 --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/dists/anglit/variance/test/test.js @@ -0,0 +1,145 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2026 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 isAlmostSameValue = require( '@stdlib/assert/is-almost-same-value' ); +var isnan = require( '@stdlib/math/base/assert/is-nan' ); +var PINF = require( '@stdlib/constants/float64/pinf' ); +var NINF = require( '@stdlib/constants/float64/ninf' ); +var variance = require( './../lib' ); + + +// FIXTURES // + +var smallMuSmallSigma = require( './fixtures/python/small_mu_small_sigma.json' ); +var smallMuLargeSigma = require( './fixtures/python/small_mu_large_sigma.json' ); +var largeMuSmallSigma = require( './fixtures/python/large_mu_small_sigma.json' ); +var largeMuLargeSigma = require( './fixtures/python/large_mu_large_sigma.json' ); + + +// TESTS // + +tape( 'main export is a function', function test( t ) { + t.ok( true, __filename ); + t.strictEqual( typeof variance, 'function', 'main export is a function' ); + t.end(); +}); + +tape( 'if provided `NaN` for any parameter, the function returns `NaN`', function test( t ) { + var y = variance( NaN, 1.0 ); + t.strictEqual( isnan( y ), true, 'returns expected value' ); + y = variance( 1.0, NaN ); + t.strictEqual( isnan( y ), true, 'returns expected value' ); + t.end(); +}); + +tape( 'if provided a nonpositive `sigma`, the function returns `NaN`', function test( t ) { + var y; + + y = variance( 2.0, 0.0 ); + t.strictEqual( isnan( y ), true, 'returns expected value' ); + + y = variance( 2.0, -1.0 ); + t.strictEqual( isnan( y ), true, 'returns expected value' ); + + y = variance( 1.0, NINF ); + t.strictEqual( isnan( y ), true, 'returns expected value' ); + + y = variance( PINF, NINF ); + t.strictEqual( isnan( y ), true, 'returns expected value' ); + + y = variance( NINF, NINF ); + t.strictEqual( isnan( y ), true, 'returns expected value' ); + + y = variance( NaN, NINF ); + t.strictEqual( isnan( y ), true, 'returns expected value' ); + + t.end(); +}); + +tape( 'the function returns the variance of an anglit distribution for small `mu` and small `sigma`', function test( t ) { + var expected; + var sigma; + var mu; + var y; + var i; + + expected = smallMuSmallSigma.expected; + mu = smallMuSmallSigma.mu; + sigma = smallMuSmallSigma.sigma; + for ( i = 0; i < expected.length; i++ ) { + y = variance( mu[i], sigma[i] ); + t.strictEqual( isAlmostSameValue( y, expected[i], 40 ), true, 'returns expected value' ); + } + t.end(); +}); + +tape( 'the function returns the variance of an anglit distribution for small `mu` and large `sigma`', function test( t ) { + var expected; + var sigma; + var mu; + var y; + var i; + + expected = smallMuLargeSigma.expected; + mu = smallMuLargeSigma.mu; + sigma = smallMuLargeSigma.sigma; + for ( i = 0; i < expected.length; i++ ) { + y = variance( mu[i], sigma[i] ); + t.strictEqual( isAlmostSameValue( y, expected[i], 40 ), true, 'returns expected value' ); + } + t.end(); +}); + +tape( 'the function returns the variance of an anglit distribution for large `mu` and small `sigma`', function test( t ) { + var expected; + var sigma; + var mu; + var y; + var i; + + expected = largeMuSmallSigma.expected; + mu = largeMuSmallSigma.mu; + sigma = largeMuSmallSigma.sigma; + for ( i = 0; i < expected.length; i++ ) { + y = variance( mu[i], sigma[i] ); + t.strictEqual( isAlmostSameValue( y, expected[i], 40 ), true, 'returns expected value' ); + } + t.end(); +}); + +tape( 'the function returns the variance of an anglit distribution for large `mu` and large `sigma`', function test( t ) { + var expected; + var sigma; + var mu; + var y; + var i; + + expected = largeMuLargeSigma.expected; + mu = largeMuLargeSigma.mu; + sigma = largeMuLargeSigma.sigma; + for ( i = 0; i < expected.length; i++ ) { + y = variance( mu[i], sigma[i] ); + t.strictEqual( isAlmostSameValue( y, expected[i], 40 ), true, 'returns expected value' ); + } + t.end(); +}); diff --git a/lib/node_modules/@stdlib/stats/base/dists/anglit/variance/test/test.native.js b/lib/node_modules/@stdlib/stats/base/dists/anglit/variance/test/test.native.js new file mode 100644 index 000000000000..5a3963c2ccab --- /dev/null +++ b/lib/node_modules/@stdlib/stats/base/dists/anglit/variance/test/test.native.js @@ -0,0 +1,154 @@ +/** +* @license Apache-2.0 +* +* Copyright (c) 2026 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 tryRequire = require( '@stdlib/utils/try-require' ); +var isAlmostSameValue = require( '@stdlib/assert/is-almost-same-value' ); +var isnan = require( '@stdlib/math/base/assert/is-nan' ); +var PINF = require( '@stdlib/constants/float64/pinf' ); +var NINF = require( '@stdlib/constants/float64/ninf' ); + + +// VARIABLES // + +var variance = tryRequire( resolve( __dirname, './../lib/native.js' ) ); +var opts = { + 'skip': ( variance instanceof Error ) +}; + + +// FIXTURES // + +var smallMuSmallSigma = require( './fixtures/python/small_mu_small_sigma.json' ); +var smallMuLargeSigma = require( './fixtures/python/small_mu_large_sigma.json' ); +var largeMuSmallSigma = require( './fixtures/python/large_mu_small_sigma.json' ); +var largeMuLargeSigma = require( './fixtures/python/large_mu_large_sigma.json' ); + + +// TESTS // + +tape( 'main export is a function', opts, function test( t ) { + t.ok( true, __filename ); + t.strictEqual( typeof variance, 'function', 'main export is a function' ); + t.end(); +}); + +tape( 'if provided `NaN` for any parameter, the function returns `NaN`', opts, function test( t ) { + var y = variance( NaN, 1.0 ); + t.strictEqual( isnan( y ), true, 'returns expected value' ); + y = variance( 1.0, NaN ); + t.strictEqual( isnan( y ), true, 'returns expected value' ); + t.end(); +}); + +tape( 'if provided a nonpositive `sigma`, the function returns `NaN`', opts, function test( t ) { + var y; + + y = variance( 2.0, 0.0 ); + t.strictEqual( isnan( y ), true, 'returns expected value' ); + + y = variance( 2.0, -1.0 ); + t.strictEqual( isnan( y ), true, 'returns expected value' ); + + y = variance( 1.0, NINF ); + t.strictEqual( isnan( y ), true, 'returns expected value' ); + + y = variance( PINF, NINF ); + t.strictEqual( isnan( y ), true, 'returns expected value' ); + + y = variance( NINF, NINF ); + t.strictEqual( isnan( y ), true, 'returns expected value' ); + + y = variance( NaN, NINF ); + t.strictEqual( isnan( y ), true, 'returns expected value' ); + + t.end(); +}); + +tape( 'the function returns the variance of an anglit distribution for small `mu` and small `sigma`', opts, function test( t ) { + var expected; + var sigma; + var mu; + var y; + var i; + + expected = smallMuSmallSigma.expected; + mu = smallMuSmallSigma.mu; + sigma = smallMuSmallSigma.sigma; + for ( i = 0; i < expected.length; i++ ) { + y = variance( mu[i], sigma[i] ); + t.strictEqual( isAlmostSameValue( y, expected[i], 40 ), true, 'returns expected value' ); + } + t.end(); +}); + +tape( 'the function returns the variance of an anglit distribution for small `mu` and large `sigma`', opts, function test( t ) { + var expected; + var sigma; + var mu; + var y; + var i; + + expected = smallMuLargeSigma.expected; + mu = smallMuLargeSigma.mu; + sigma = smallMuLargeSigma.sigma; + for ( i = 0; i < expected.length; i++ ) { + y = variance( mu[i], sigma[i] ); + t.strictEqual( isAlmostSameValue( y, expected[i], 40 ), true, 'returns expected value' ); + } + t.end(); +}); + +tape( 'the function returns the variance of an anglit distribution for large `mu` and small `sigma`', opts, function test( t ) { + var expected; + var sigma; + var mu; + var y; + var i; + + expected = largeMuSmallSigma.expected; + mu = largeMuSmallSigma.mu; + sigma = largeMuSmallSigma.sigma; + for ( i = 0; i < expected.length; i++ ) { + y = variance( mu[i], sigma[i] ); + t.strictEqual( isAlmostSameValue( y, expected[i], 40 ), true, 'returns expected value' ); + } + t.end(); +}); + +tape( 'the function returns the variance of an anglit distribution for large `mu` and large `sigma`', opts, function test( t ) { + var expected; + var sigma; + var mu; + var y; + var i; + + expected = largeMuLargeSigma.expected; + mu = largeMuLargeSigma.mu; + sigma = largeMuLargeSigma.sigma; + for ( i = 0; i < expected.length; i++ ) { + y = variance( mu[i], sigma[i] ); + t.strictEqual( isAlmostSameValue( y, expected[i], 40 ), true, 'returns expected value' ); + } + t.end(); +});