From 90a0513022238e406ded9eabeca4df47adcaa03e Mon Sep 17 00:00:00 2001 From: nakul-krishnakumar Date: Sat, 4 Jul 2026 00:02:53 +0530 Subject: [PATCH] feat: add `ml/base/loss/float64/epsilon-insensitive-gradient` --- 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_pkg_readmes status: passed - task: lint_markdown_docs status: na - task: lint_markdown status: na - 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: na - 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: lint_typescript_declarations status: passed - task: lint_typescript_tests status: passed - task: lint_license_headers status: passed --- --- .../epsilon-insensitive-gradient/README.md | 238 ++++++++++++++++++ .../benchmark/benchmark.js | 58 +++++ .../benchmark/benchmark.native.js | 68 +++++ .../benchmark/c/native/Makefile | 146 +++++++++++ .../benchmark/c/native/benchmark.c | 148 +++++++++++ .../epsilon-insensitive-gradient/binding.gyp | 170 +++++++++++++ .../docs/repl.txt | 42 ++++ .../docs/types/index.d.ts | 59 +++++ .../docs/types/test.ts | 84 +++++++ .../examples/c/Makefile | 146 +++++++++++ .../examples/c/example.c | 34 +++ .../examples/index.js | 38 +++ .../epsilon-insensitive-gradient/include.gypi | 53 ++++ .../float64/epsilon_insensitive_gradient.h | 38 +++ .../epsilon-insensitive-gradient/lib/index.js | 55 ++++ .../epsilon-insensitive-gradient/lib/main.js | 77 ++++++ .../lib/native.js | 69 +++++ .../manifest.json | 75 ++++++ .../epsilon-insensitive-gradient/package.json | 68 +++++ .../epsilon-insensitive-gradient/src/Makefile | 70 ++++++ .../epsilon-insensitive-gradient/src/addon.c | 22 ++ .../epsilon-insensitive-gradient/src/main.c | 47 ++++ .../test/fixtures/julia/REQUIRE | 2 + .../test/fixtures/julia/runner.jl | 108 ++++++++ .../test/fixtures/julia/small_negative.json | 1 + .../test/fixtures/julia/small_positive.json | 1 + .../test/fixtures/julia/tiny_negative.json | 1 + .../test/fixtures/julia/tiny_positive.json | 1 + .../epsilon-insensitive-gradient/test/test.js | 147 +++++++++++ .../test/test.native.js | 156 ++++++++++++ 30 files changed, 2222 insertions(+) create mode 100644 lib/node_modules/@stdlib/ml/base/loss/float64/epsilon-insensitive-gradient/README.md create mode 100644 lib/node_modules/@stdlib/ml/base/loss/float64/epsilon-insensitive-gradient/benchmark/benchmark.js create mode 100644 lib/node_modules/@stdlib/ml/base/loss/float64/epsilon-insensitive-gradient/benchmark/benchmark.native.js create mode 100644 lib/node_modules/@stdlib/ml/base/loss/float64/epsilon-insensitive-gradient/benchmark/c/native/Makefile create mode 100644 lib/node_modules/@stdlib/ml/base/loss/float64/epsilon-insensitive-gradient/benchmark/c/native/benchmark.c create mode 100644 lib/node_modules/@stdlib/ml/base/loss/float64/epsilon-insensitive-gradient/binding.gyp create mode 100644 lib/node_modules/@stdlib/ml/base/loss/float64/epsilon-insensitive-gradient/docs/repl.txt create mode 100644 lib/node_modules/@stdlib/ml/base/loss/float64/epsilon-insensitive-gradient/docs/types/index.d.ts create mode 100644 lib/node_modules/@stdlib/ml/base/loss/float64/epsilon-insensitive-gradient/docs/types/test.ts create mode 100644 lib/node_modules/@stdlib/ml/base/loss/float64/epsilon-insensitive-gradient/examples/c/Makefile create mode 100644 lib/node_modules/@stdlib/ml/base/loss/float64/epsilon-insensitive-gradient/examples/c/example.c create mode 100644 lib/node_modules/@stdlib/ml/base/loss/float64/epsilon-insensitive-gradient/examples/index.js create mode 100644 lib/node_modules/@stdlib/ml/base/loss/float64/epsilon-insensitive-gradient/include.gypi create mode 100644 lib/node_modules/@stdlib/ml/base/loss/float64/epsilon-insensitive-gradient/include/stdlib/ml/base/loss/float64/epsilon_insensitive_gradient.h create mode 100644 lib/node_modules/@stdlib/ml/base/loss/float64/epsilon-insensitive-gradient/lib/index.js create mode 100644 lib/node_modules/@stdlib/ml/base/loss/float64/epsilon-insensitive-gradient/lib/main.js create mode 100644 lib/node_modules/@stdlib/ml/base/loss/float64/epsilon-insensitive-gradient/lib/native.js create mode 100644 lib/node_modules/@stdlib/ml/base/loss/float64/epsilon-insensitive-gradient/manifest.json create mode 100644 lib/node_modules/@stdlib/ml/base/loss/float64/epsilon-insensitive-gradient/package.json create mode 100644 lib/node_modules/@stdlib/ml/base/loss/float64/epsilon-insensitive-gradient/src/Makefile create mode 100644 lib/node_modules/@stdlib/ml/base/loss/float64/epsilon-insensitive-gradient/src/addon.c create mode 100644 lib/node_modules/@stdlib/ml/base/loss/float64/epsilon-insensitive-gradient/src/main.c create mode 100644 lib/node_modules/@stdlib/ml/base/loss/float64/epsilon-insensitive-gradient/test/fixtures/julia/REQUIRE create mode 100755 lib/node_modules/@stdlib/ml/base/loss/float64/epsilon-insensitive-gradient/test/fixtures/julia/runner.jl create mode 100644 lib/node_modules/@stdlib/ml/base/loss/float64/epsilon-insensitive-gradient/test/fixtures/julia/small_negative.json create mode 100644 lib/node_modules/@stdlib/ml/base/loss/float64/epsilon-insensitive-gradient/test/fixtures/julia/small_positive.json create mode 100644 lib/node_modules/@stdlib/ml/base/loss/float64/epsilon-insensitive-gradient/test/fixtures/julia/tiny_negative.json create mode 100644 lib/node_modules/@stdlib/ml/base/loss/float64/epsilon-insensitive-gradient/test/fixtures/julia/tiny_positive.json create mode 100644 lib/node_modules/@stdlib/ml/base/loss/float64/epsilon-insensitive-gradient/test/test.js create mode 100644 lib/node_modules/@stdlib/ml/base/loss/float64/epsilon-insensitive-gradient/test/test.native.js diff --git a/lib/node_modules/@stdlib/ml/base/loss/float64/epsilon-insensitive-gradient/README.md b/lib/node_modules/@stdlib/ml/base/loss/float64/epsilon-insensitive-gradient/README.md new file mode 100644 index 000000000000..75236b44fee7 --- /dev/null +++ b/lib/node_modules/@stdlib/ml/base/loss/float64/epsilon-insensitive-gradient/README.md @@ -0,0 +1,238 @@ + + +# epsilonInsensitiveGradient + +> Compute the [epsilon insensitive loss gradient][epsilon-insensitive-loss-gradient] with respect to a model parameter. + +
+ +The [epsilon insensitive loss gradient][epsilon-insensitive-loss-gradient] is defined as + + + +```math +\frac{\partial \ell}{\partial w_i} = +\begin{cases} +-x_i & \text{if } y - p > \epsilon, \\ +x_i & \text{if } p - y > \epsilon, \\ +0 & \text{otherwise.} +\end{cases} +``` + + + +
+ + + +
+ +## Usage + + + +```javascript +var epsilonInsensitiveGradient = require( '@stdlib/ml/base/loss/float64/epsilon-insensitive-gradient' ); +``` + +#### epsilonInsensitiveGradient( x, e, y, p ) + +Computes the [epsilon insensitive loss gradient][epsilon-insensitive-loss-gradient] with respect to a model parameter. + + + +```javascript +var v = epsilonInsensitiveGradient( 3.0, 5.0, 10.2, 0.782 ); +// returns -3.0 + +v = epsilonInsensitiveGradient( -1.3, 1.0, 23.2, -0.999 ); +// returns 1.3 +``` + +If any argument is `NaN`, the function returns `NaN`. + + + +```javascript +var v = epsilonInsensitiveGradient( NaN, 1.0, 1.0, 0.782 ); +// returns NaN + +v = epsilonInsensitiveGradient( 1.0, 1.0, NaN, 0.782 ); +// returns NaN + +v = epsilonInsensitiveGradient( NaN, NaN, 1.0, 0.782 ); +// returns NaN + +v = epsilonInsensitiveGradient( NaN, NaN, NaN, NaN ); +// returns NaN +``` + +
+ + + +
+ +## Examples + + + + + +```javascript +var uniform = require( '@stdlib/random/array/uniform' ); +var logEachMap = require( '@stdlib/console/log-each-map' ); +var epsilonInsensitiveGradient = require( '@stdlib/ml/base/loss/float64/epsilon-insensitive-gradient' ); + +var x = uniform( 100, -100.0, 100.0, { + 'dtype': 'float64' +}); +var e = uniform( 100, 0.0, 5.0, { + 'dtype': 'float64' +}); +var y = uniform( 100, -100.0, 100.0, { + 'dtype': 'float64' +}); +var p = uniform( 100, -5.0, 5.0, { + 'dtype': 'float64' +}); + +logEachMap( 'epsilonInsensitiveGradient(%0.4f, %0.4f, %0.4f, %0.4f) = %0.4f', x, e, y, p, epsilonInsensitiveGradient ); + +``` + +
+ + + + + +* * * + +
+ +## C APIs + + + +
+ +
+ + + + + +
+ +### Usage + +```c +#include "stdlib/ml/base/loss/float64/epsilon_insensitive_gradient.h" +``` + +#### stdlib_base_float64_epsilon_insensitive_gradient( x, e, y, p ) + +Computes the [epsilon insensitive loss gradient][epsilon-insensitive-loss-gradient] with respect to a model parameter. + +```c +double out = stdlib_base_float64_epsilon_insensitive_gradient( 3.0, 5.0, 10.2, 0.782 ); +// returns -3.0 +``` + +The function accepts the following arguments: + +- **x**: `[in] double` input value. +- **e**: `[in] double` insensitivity parameter. +- **y**: `[in] double` true target value. +- **p**: `[in] double` predicted value. + +```c +double stdlib_base_float64_epsilon_insensitive_gradient( const double x, const double e, const double y, const double p ); +``` + +
+ + + + + +
+ +
+ + + + + +
+ +### Examples + +```c +#include "stdlib/ml/base/loss/float64/epsilon_insensitive_gradient.h" +#include + +int main( void ) { + const double x[] = { -10.0, -9.56, -8.67, -7.78, -6.89, 6.89, 7.78, 8.67, 9.56, 10.0 }; + const double e[] = { 0.0, 1.0, 2.0, 3.0, 4.0, 5.0, 6.0, 7.0, 8.0, 9.0 }; + const double y[] = { -9.9, -7.7, -5.5, -3.3, -1.1, 1.1, 3.3, 5.5, 7.7, 9.9 }; + const double p[] = { -5.0, -3.89, -2.78, -1.67, -0.56, 0.56, 1.67, 2.78, 3.89, 5.0 }; + + double v; + int i; + for ( i = 0; i < 10; i++ ) { + v = stdlib_base_float64_epsilon_insensitive_gradient( x[ i ], e[ i ], y[ i ], p[ i ] ); + printf( "epsilonInsensitiveGradient(%lf, %lf, %lf, %lf) = %lf\n", x[ i ], e[ i ], y[ i ], p[ i ], v ); + } +} +``` + +
+ + + +
+ + + + + +
+ +
+ + + + + +
+ +[epsilon-insensitive-loss-gradient]: https://en.wikipedia.org/wiki/Support_vector_machine#Regression + + + + + + +
+ + diff --git a/lib/node_modules/@stdlib/ml/base/loss/float64/epsilon-insensitive-gradient/benchmark/benchmark.js b/lib/node_modules/@stdlib/ml/base/loss/float64/epsilon-insensitive-gradient/benchmark/benchmark.js new file mode 100644 index 000000000000..47d79b062bb9 --- /dev/null +++ b/lib/node_modules/@stdlib/ml/base/loss/float64/epsilon-insensitive-gradient/benchmark/benchmark.js @@ -0,0 +1,58 @@ +/** +* @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 pkg = require( './../package.json' ).name; +var epsilonInsensitiveGradient = require( './../lib' ); + + +// MAIN // + +bench( pkg, function benchmark( b ) { + var len; + var x; + var y; + var p; + var v; + var i; + + len = 100; + x = uniform( len, -100.0, 100.0 ); + y = uniform( len, -100.0, 100.0 ); + p = uniform( len, -100.0, 100.0 ); + + b.tic(); + for ( i = 0; i < b.iterations; i++ ) { + v = epsilonInsensitiveGradient( x[ i%x.length ], 1.0, y[ i%y.length ], p[ i%p.length ] ); + if ( isnan( v ) ) { + b.fail( 'should not return NaN' ); + } + } + b.toc(); + if ( isnan( v ) ) { + b.fail( 'should not return NaN' ); + } + b.pass( 'benchmark finished' ); + b.end(); +}); diff --git a/lib/node_modules/@stdlib/ml/base/loss/float64/epsilon-insensitive-gradient/benchmark/benchmark.native.js b/lib/node_modules/@stdlib/ml/base/loss/float64/epsilon-insensitive-gradient/benchmark/benchmark.native.js new file mode 100644 index 000000000000..3cbfe94f7dd5 --- /dev/null +++ b/lib/node_modules/@stdlib/ml/base/loss/float64/epsilon-insensitive-gradient/benchmark/benchmark.native.js @@ -0,0 +1,68 @@ +/** +* @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 uniform = require( '@stdlib/random/array/uniform' ); +var isnan = require( '@stdlib/math/base/assert/is-nan' ); +var tryRequire = require( '@stdlib/utils/try-require' ); +var format = require( '@stdlib/string/format' ); +var pkg = require( './../package.json' ).name; + + +// VARIABLES // + +var epsilonInsensitiveGradient = tryRequire( resolve( __dirname, './../lib/native.js' ) ); +var opts = { + 'skip': ( epsilonInsensitiveGradient instanceof Error ) +}; + + +// MAIN // + +bench( format( '%s::native', pkg ), opts, function benchmark( b ) { + var len; + var x; + var y; + var p; + var v; + var i; + + len = 100; + x = uniform( len, -100.0, 100.0 ); + y = uniform( len, -100.0, 100.0 ); + p = uniform( len, -100.0, 100.0 ); + + b.tic(); + for ( i = 0; i < b.iterations; i++ ) { + v = epsilonInsensitiveGradient( x[ i%x.length ], 1.0, y[ i%y.length ], p[ i%p.length ] ); + if ( isnan( v ) ) { + b.fail( 'should not return NaN' ); + } + } + b.toc(); + if ( isnan( v ) ) { + b.fail( 'should not return NaN' ); + } + b.pass( 'benchmark finished' ); + b.end(); +}); diff --git a/lib/node_modules/@stdlib/ml/base/loss/float64/epsilon-insensitive-gradient/benchmark/c/native/Makefile b/lib/node_modules/@stdlib/ml/base/loss/float64/epsilon-insensitive-gradient/benchmark/c/native/Makefile new file mode 100644 index 000000000000..979768abbcec --- /dev/null +++ b/lib/node_modules/@stdlib/ml/base/loss/float64/epsilon-insensitive-gradient/benchmark/c/native/Makefile @@ -0,0 +1,146 @@ +#/ +# @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 + +# 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/ml/base/loss/float64/epsilon-insensitive-gradient/benchmark/c/native/benchmark.c b/lib/node_modules/@stdlib/ml/base/loss/float64/epsilon-insensitive-gradient/benchmark/c/native/benchmark.c new file mode 100644 index 000000000000..8ba6bc5991cd --- /dev/null +++ b/lib/node_modules/@stdlib/ml/base/loss/float64/epsilon-insensitive-gradient/benchmark/c/native/benchmark.c @@ -0,0 +1,148 @@ +/** +* @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/ml/base/loss/float64/epsilon_insensitive_gradient.h" +#include +#include +#include +#include +#include + +#define NAME "epsilon_insensitive_gradient" +#define ITERATIONS 1000000 +#define REPEATS 3 + +/** +* Prints the TAP version. +*/ +static void print_version( void ) { + printf( "TAP version 13\n" ); +} + +/** +* Prints the TAP summary. +* +* @param total total number of tests +* @param passing total number of passing tests +*/ +static 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 +*/ +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" ); +} + +/** +* Returns a clock time. +* +* @return clock time +*/ +static double tic( void ) { + struct timeval now; + gettimeofday( &now, NULL ); + return (double)now.tv_sec + (double)now.tv_usec/1.0e6; +} + +/** +* Generates a random number on the interval [min,max). +* +* @param min minimum value (inclusive) +* @param max maximum value (exclusive) +* @return random number +*/ +static double random_uniform( const double min, const double max ) { + double v = (double)rand() / ( (double)RAND_MAX + 1.0 ); + return min + ( v*(max-min) ); +} + +/** +* Runs a benchmark. +* +* @return elapsed time in seconds +*/ +static double benchmark( void ) { + double elapsed; + double *x; + double *p; + double *y; + double v; + double t; + int i; + + x = (double *) malloc( 100 * sizeof( double ) ); + y = (double *) malloc( 100 * sizeof( double ) ); + p = (double *) malloc( 100 * sizeof( double ) ); + for ( i = 0; i < 100; i++ ) { + x[ i ] = random_uniform( -100.0, 100.0 ); + y[ i ] = random_uniform( -100.0, 100.0 ); + p[ i ] = random_uniform( -100.0, 100.0 ); + } + + t = tic(); + for ( i = 0; i < ITERATIONS; i++ ) { + v = stdlib_base_float64_epsilon_insensitive_gradient( x[ i%100 ], 1.0, y[ i % 100 ], p[ i % 100 ] ); + if ( v != v ) { + printf( "should not return NaN\n" ); + break; + } + } + elapsed = tic() - t; + if ( v != v ) { + printf( "should not return NaN\n" ); + } + free( x ); + free( y ); + free( p ); + return elapsed; +} + +/** +* Main execution sequence. +*/ +int main( void ) { + double elapsed; + int i; + + // Use the current time to seed the random number generator: + srand( time( NULL ) ); + + print_version(); + for ( i = 0; i < REPEATS; i++ ) { + printf( "# c::native::%s\n", NAME ); + elapsed = benchmark(); + print_results( elapsed ); + printf( "ok %d benchmark finished\n", i+1 ); + } + print_summary( REPEATS, REPEATS ); +} diff --git a/lib/node_modules/@stdlib/ml/base/loss/float64/epsilon-insensitive-gradient/binding.gyp b/lib/node_modules/@stdlib/ml/base/loss/float64/epsilon-insensitive-gradient/binding.gyp new file mode 100644 index 000000000000..0d6508a12e99 --- /dev/null +++ b/lib/node_modules/@stdlib/ml/base/loss/float64/epsilon-insensitive-gradient/binding.gyp @@ -0,0 +1,170 @@ +# @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 +{ + # 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/ml/base/loss/float64/epsilon-insensitive-gradient/docs/repl.txt b/lib/node_modules/@stdlib/ml/base/loss/float64/epsilon-insensitive-gradient/docs/repl.txt new file mode 100644 index 000000000000..e077b14ceb00 --- /dev/null +++ b/lib/node_modules/@stdlib/ml/base/loss/float64/epsilon-insensitive-gradient/docs/repl.txt @@ -0,0 +1,42 @@ + +{{alias}}( x, e, y, p ) + Computes the epsilon insensitive loss gradient with respect to a model + parameter. + + If any argument is `NaN`, the function returns `NaN`. + + Parameters + ---------- + x: number + Input value. + + e: number + Insensitivity parameter. + + y: number + True target value. + + p: number + Predicted value. + + Returns + ------- + v: number + Epsilon insensitive loss gradient. + + Examples + -------- + > var v = {{alias}}( 3.0, 5.0, 10.2, 0.782 ) + -3.0 + > v = {{alias}}( 2.5, 2.0, 8.0, 0.202 ) + -2.5 + > v = {{alias}}( -1.3, 1.0, 23.2, -0.999 ) + 1.3 + > v = {{alias}}( -2.0, 2.0, -21.0, 0.2 ) + -2.0 + > v = {{alias}}( NaN, 1.0, 1.0, 0.987 ) + NaN + + See Also + -------- + diff --git a/lib/node_modules/@stdlib/ml/base/loss/float64/epsilon-insensitive-gradient/docs/types/index.d.ts b/lib/node_modules/@stdlib/ml/base/loss/float64/epsilon-insensitive-gradient/docs/types/index.d.ts new file mode 100644 index 000000000000..2645998bf4e6 --- /dev/null +++ b/lib/node_modules/@stdlib/ml/base/loss/float64/epsilon-insensitive-gradient/docs/types/index.d.ts @@ -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. +*/ + +// TypeScript Version: 4.1 + +/** +* Computes the epsilon insensitive loss gradient with respect to a model parameter. +* +* @param x - input value +* @param e - insensitivity parameter +* @param y - true target value +* @param p - predicted value +* @returns epsilon insensitive loss gradient +* +* @example +* var v = epsilonInsensitiveGradient( 3.0, 5.0, 10.2, 0.782 ); +* // returns -3.0 +* +* @example +* var v = epsilonInsensitiveGradient( 2.5, 2.0, 8.0, 0.202 ); +* // returns -2.5 +* +* @example +* var v = epsilonInsensitiveGradient( -1.3, 1.0, 23.2, -0.999 ); +* // returns 1.3 +* +* @example +* var v = epsilonInsensitiveGradient( -2.0, 11.0, -12.2, 0.234 ); +* // returns -2.0 +* +* @example +* var v = epsilonInsensitiveGradient( -2.0, 2.0, -21.0, 0.2 ); +* // returns -2.0 +* +* @example +* var v = epsilonInsensitiveGradient( -1.3, 9.0, 4.0, -0.9 ); +* // returns 0.0 +*/ +declare function epsilonInsensitiveGradient( x: number, e: number, y: number, p: number ): number; + + +// EXPORTS // + +export = epsilonInsensitiveGradient; diff --git a/lib/node_modules/@stdlib/ml/base/loss/float64/epsilon-insensitive-gradient/docs/types/test.ts b/lib/node_modules/@stdlib/ml/base/loss/float64/epsilon-insensitive-gradient/docs/types/test.ts new file mode 100644 index 000000000000..60843f53773b --- /dev/null +++ b/lib/node_modules/@stdlib/ml/base/loss/float64/epsilon-insensitive-gradient/docs/types/test.ts @@ -0,0 +1,84 @@ +/* +* @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 epsilonInsensitiveGradient = require( './index' ); + + +// TESTS // + +// The function returns a number... +{ + epsilonInsensitiveGradient( 0.5869, 1.0, 1.0, 0.782 ); // $ExpectType number +} + +// The compiler throws an error if the function is provided a first argument which is not a number... +{ + epsilonInsensitiveGradient( true, 1.0, 1.0, 0.782 ); // $ExpectError + epsilonInsensitiveGradient( false, 1.0, 1.0, 0.782 ); // $ExpectError + epsilonInsensitiveGradient( null, 1.0, 1.0, 0.782 ); // $ExpectError + epsilonInsensitiveGradient( undefined, 1.0, 1.0, 0.782 ); // $ExpectError + epsilonInsensitiveGradient( '5', 1.0, 1.0, 0.782 ); // $ExpectError + epsilonInsensitiveGradient( [], 1.0, 1.0, 0.782 ); // $ExpectError + epsilonInsensitiveGradient( {}, 1.0, 1.0, 0.782 ); // $ExpectError + epsilonInsensitiveGradient( ( x: number ): number => x, 1.0, 1.0, 0.782 ); // $ExpectError +} + +// The compiler throws an error if the function is provided a second argument which is not a number... +{ + epsilonInsensitiveGradient( 0.5869, true, 1.0, 0.782 ); // $ExpectError + epsilonInsensitiveGradient( 0.5869, false, 1.0, 0.782 ); // $ExpectError + epsilonInsensitiveGradient( 0.5869, null, 1.0, 0.782 ); // $ExpectError + epsilonInsensitiveGradient( 0.5869, undefined, 1.0, 0.782 ); // $ExpectError + epsilonInsensitiveGradient( 0.5869, '5', 1.0, 0.782 ); // $ExpectError + epsilonInsensitiveGradient( 0.5869, [], 1.0, 0.782 ); // $ExpectError + epsilonInsensitiveGradient( 0.5869, {}, 1.0, 0.782 ); // $ExpectError + epsilonInsensitiveGradient( 0.5869, ( x: number ): number => x, 1.0, 0.782 ); // $ExpectError +} + +// The compiler throws an error if the function is provided a third argument which is not a number... +{ + epsilonInsensitiveGradient( 0.5869, 1.0, true, 0.782 ); // $ExpectError + epsilonInsensitiveGradient( 0.5869, 1.0, false, 0.782 ); // $ExpectError + epsilonInsensitiveGradient( 0.5869, 1.0, null, 0.782 ); // $ExpectError + epsilonInsensitiveGradient( 0.5869, 1.0, undefined, 0.782 ); // $ExpectError + epsilonInsensitiveGradient( 0.5869, 1.0, '5', 0.782 ); // $ExpectError + epsilonInsensitiveGradient( 0.5869, 1.0, [], 0.782 ); // $ExpectError + epsilonInsensitiveGradient( 0.5869, 1.0, {}, 0.782 ); // $ExpectError + epsilonInsensitiveGradient( 0.5869, 1.0, ( x: number ): number => x, 0.782 ); // $ExpectError +} + +// The compiler throws an error if the function is provided a fourth argument which is not a number... +{ + epsilonInsensitiveGradient( 0.5869, 1.0, 1.0, true ); // $ExpectError + epsilonInsensitiveGradient( 0.5869, 1.0, 1.0, false ); // $ExpectError + epsilonInsensitiveGradient( 0.5869, 1.0, 1.0, null ); // $ExpectError + epsilonInsensitiveGradient( 0.5869, 1.0, 1.0, undefined ); // $ExpectError + epsilonInsensitiveGradient( 0.5869, 1.0, 1.0, '5' ); // $ExpectError + epsilonInsensitiveGradient( 0.5869, 1.0, 1.0, [] ); // $ExpectError + epsilonInsensitiveGradient( 0.5869, 1.0, 1.0, {} ); // $ExpectError + epsilonInsensitiveGradient( 0.5869, 1.0, 1.0, ( x: number ): number => x ); // $ExpectError +} + +// The compiler throws an error if the function is provided an unsupported number of arguments... +{ + epsilonInsensitiveGradient(); // $ExpectError + epsilonInsensitiveGradient( 1.0 ); // $ExpectError + epsilonInsensitiveGradient( 1.0, 0.900 ); // $ExpectError + epsilonInsensitiveGradient( 1.0, 0.900, 0.7873 ); // $ExpectError + epsilonInsensitiveGradient( 1.0, 0.900, 1.0, 0.787, 0.7873 ); // $ExpectError +} diff --git a/lib/node_modules/@stdlib/ml/base/loss/float64/epsilon-insensitive-gradient/examples/c/Makefile b/lib/node_modules/@stdlib/ml/base/loss/float64/epsilon-insensitive-gradient/examples/c/Makefile new file mode 100644 index 000000000000..c8f8e9a1517b --- /dev/null +++ b/lib/node_modules/@stdlib/ml/base/loss/float64/epsilon-insensitive-gradient/examples/c/Makefile @@ -0,0 +1,146 @@ +#/ +# @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 + +# 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/ml/base/loss/float64/epsilon-insensitive-gradient/examples/c/example.c b/lib/node_modules/@stdlib/ml/base/loss/float64/epsilon-insensitive-gradient/examples/c/example.c new file mode 100644 index 000000000000..0539856c0d2a --- /dev/null +++ b/lib/node_modules/@stdlib/ml/base/loss/float64/epsilon-insensitive-gradient/examples/c/example.c @@ -0,0 +1,34 @@ +/** +* @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/ml/base/loss/float64/epsilon_insensitive_gradient.h" +#include + +int main( void ) { + const double x[] = { -10.0, -9.56, -8.67, -7.78, -6.89, 6.89, 7.78, 8.67, 9.56, 10.0 }; + const double e[] = { 0.0, 1.0, 2.0, 3.0, 4.0, 5.0, 6.0, 7.0, 8.0, 9.0 }; + const double y[] = { -9.9, -7.7, -5.5, -3.3, -1.1, 1.1, 3.3, 5.5, 7.7, 9.9 }; + const double p[] = { -5.0, -3.89, -2.78, -1.67, -0.56, 0.56, 1.67, 2.78, 3.89, 5.0 }; + + double v; + int i; + for ( i = 0; i < 10; i++ ) { + v = stdlib_base_float64_epsilon_insensitive_gradient( x[ i ], e[ i ], y[ i ], p[ i ] ); + printf( "epsilonInsensitiveGradient(%lf, %lf, %lf, %lf) = %lf\n", x[ i ], e[ i ], y[ i ], p[ i ], v ); + } +} diff --git a/lib/node_modules/@stdlib/ml/base/loss/float64/epsilon-insensitive-gradient/examples/index.js b/lib/node_modules/@stdlib/ml/base/loss/float64/epsilon-insensitive-gradient/examples/index.js new file mode 100644 index 000000000000..05443a869f59 --- /dev/null +++ b/lib/node_modules/@stdlib/ml/base/loss/float64/epsilon-insensitive-gradient/examples/index.js @@ -0,0 +1,38 @@ +/** +* @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 epsilonInsensitiveGradient = require( './../lib' ); + +var x = uniform( 100, -100.0, 100.0, { + 'dtype': 'float64' +}); +var e = uniform( 100, 0.0, 5.0, { + 'dtype': 'float64' +}); +var y = uniform( 100, -100.0, 100.0, { + 'dtype': 'float64' +}); +var p = uniform( 100, -5.0, 5.0, { + 'dtype': 'float64' +}); + +logEachMap( 'epsilonInsensitiveGradient(%0.4f, %0.4f, %0.4f, %0.4f) = %0.4f', x, e, y, p, epsilonInsensitiveGradient ); diff --git a/lib/node_modules/@stdlib/ml/base/loss/float64/epsilon-insensitive-gradient/include.gypi b/lib/node_modules/@stdlib/ml/base/loss/float64/epsilon-insensitive-gradient/include.gypi new file mode 100644 index 000000000000..bee8d41a2caf --- /dev/null +++ b/lib/node_modules/@stdlib/ml/base/loss/float64/epsilon-insensitive-gradient/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': [ + ' e ) { + return -x; + } + if ( p-y > e ) { + return x; + } + return 0.0; +} + + +// EXPORTS // + +module.exports = epsilonInsensitiveGradient; diff --git a/lib/node_modules/@stdlib/ml/base/loss/float64/epsilon-insensitive-gradient/lib/native.js b/lib/node_modules/@stdlib/ml/base/loss/float64/epsilon-insensitive-gradient/lib/native.js new file mode 100644 index 000000000000..3f2a368cafcd --- /dev/null +++ b/lib/node_modules/@stdlib/ml/base/loss/float64/epsilon-insensitive-gradient/lib/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 addon = require( './../src/addon.node' ); + + +// MAIN // + +/** +* Computes the epsilon insensitive loss gradient with respect to a model parameter. +* +* @private +* @param {number} x - input value +* @param {number} e - insensitivity parameter +* @param {number} y - true target value +* @param {number} p - predicted value +* @returns {number} epsilon insensitive loss gradient +* +* @example +* var v = epsilonInsensitiveGradient( 3.0, 5.0, 10.2, 0.782 ); +* // returns -3.0 +* +* @example +* var v = epsilonInsensitiveGradient( 2.5, 2.0, 8.0, 0.202 ); +* // returns -2.5 +* +* @example +* var v = epsilonInsensitiveGradient( -1.3, 1.0, 23.2, -0.999 ); +* // returns 1.3 +* +* @example +* var v = epsilonInsensitiveGradient( -2.0, 11.0, -12.2, 0.234 ); +* // returns -2.0 +* +* @example +* var v = epsilonInsensitiveGradient( -2.0, 2.0, -21.0, 0.2 ); +* // returns -2.0 +* +* @example +* var v = epsilonInsensitiveGradient( -1.3, 9.0, 4.0, -0.9 ); +* // returns 0.0 +*/ +function epsilonInsensitiveGradient( x, e, y, p ) { + return addon( x, e, y, p ); +} + + +// EXPORTS // + +module.exports = epsilonInsensitiveGradient; diff --git a/lib/node_modules/@stdlib/ml/base/loss/float64/epsilon-insensitive-gradient/manifest.json b/lib/node_modules/@stdlib/ml/base/loss/float64/epsilon-insensitive-gradient/manifest.json new file mode 100644 index 000000000000..4421714e344c --- /dev/null +++ b/lib/node_modules/@stdlib/ml/base/loss/float64/epsilon-insensitive-gradient/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/quaternary", + "@stdlib/math/base/assert/is-nan", + "@stdlib/constants/float64/nan" + ] + }, + { + "task": "benchmark", + "src": [ + "./src/main.c" + ], + "include": [ + "./include" + ], + "libraries": [], + "libpath": [], + "dependencies": [ + "@stdlib/math/base/assert/is-nan", + "@stdlib/constants/float64/nan" + ] + }, + { + "task": "examples", + "src": [ + "./src/main.c" + ], + "include": [ + "./include" + ], + "libraries": [], + "libpath": [], + "dependencies": [ + "@stdlib/math/base/assert/is-nan", + "@stdlib/constants/float64/nan" + ] + } + ] +} diff --git a/lib/node_modules/@stdlib/ml/base/loss/float64/epsilon-insensitive-gradient/package.json b/lib/node_modules/@stdlib/ml/base/loss/float64/epsilon-insensitive-gradient/package.json new file mode 100644 index 000000000000..59ca61c8ded3 --- /dev/null +++ b/lib/node_modules/@stdlib/ml/base/loss/float64/epsilon-insensitive-gradient/package.json @@ -0,0 +1,68 @@ +{ + "name": "@stdlib/ml/base/loss/float64/epsilon-insensitive-gradient", + "version": "0.0.0", + "description": "Compute the epsilon insensitive loss gradient with respect to a model parameter.", + "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", + "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", + "machine learning", + "ml", + "loss", + "float64", + "epsilon insensitive loss", + "epsilon insensitive loss gradient", + "gradient", + "double-precision", + "double", + "dbl" + ], + "__stdlib__": {} +} diff --git a/lib/node_modules/@stdlib/ml/base/loss/float64/epsilon-insensitive-gradient/src/Makefile b/lib/node_modules/@stdlib/ml/base/loss/float64/epsilon-insensitive-gradient/src/Makefile new file mode 100644 index 000000000000..2caf905cedbe --- /dev/null +++ b/lib/node_modules/@stdlib/ml/base/loss/float64/epsilon-insensitive-gradient/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/ml/base/loss/float64/epsilon-insensitive-gradient/src/addon.c b/lib/node_modules/@stdlib/ml/base/loss/float64/epsilon-insensitive-gradient/src/addon.c new file mode 100644 index 000000000000..0d2094167638 --- /dev/null +++ b/lib/node_modules/@stdlib/ml/base/loss/float64/epsilon-insensitive-gradient/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/ml/base/loss/float64/epsilon_insensitive_gradient.h" +#include "stdlib/math/base/napi/quaternary.h" + +STDLIB_MATH_BASE_NAPI_MODULE_DDDD_D( stdlib_base_float64_epsilon_insensitive_gradient ) diff --git a/lib/node_modules/@stdlib/ml/base/loss/float64/epsilon-insensitive-gradient/src/main.c b/lib/node_modules/@stdlib/ml/base/loss/float64/epsilon-insensitive-gradient/src/main.c new file mode 100644 index 000000000000..ad3979916e85 --- /dev/null +++ b/lib/node_modules/@stdlib/ml/base/loss/float64/epsilon-insensitive-gradient/src/main.c @@ -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. +*/ + +#include "stdlib/ml/base/loss/float64/epsilon_insensitive_gradient.h" +#include "stdlib/math/base/assert/is_nan.h" +#include "stdlib/constants/float64/nan.h" + +/** +* Computes the epsilon insensitive loss gradient with respect to a model parameter. +* +* @param x input value +* @param e insensitivity parameter +* @param y true target value +* @param p predicted value +* @return epsilon insensitive loss gradient +* +* @example +* double out = stdlib_base_float64_epsilon_insensitive_gradient( 2.5, 2.0, 8.0, 0.202 ); +* // returns -2.5 +*/ +double stdlib_base_float64_epsilon_insensitive_gradient( const double x, const double e, const double y, const double p ) { + if ( stdlib_base_is_nan( x ) || stdlib_base_is_nan( e ) || stdlib_base_is_nan( y ) || stdlib_base_is_nan( p ) ) { + return STDLIB_CONSTANT_FLOAT64_NAN; + } + if ( y-p > e ) { + return -x; + } + if ( p-y > e ) { + return x; + } + return 0.0; +} diff --git a/lib/node_modules/@stdlib/ml/base/loss/float64/epsilon-insensitive-gradient/test/fixtures/julia/REQUIRE b/lib/node_modules/@stdlib/ml/base/loss/float64/epsilon-insensitive-gradient/test/fixtures/julia/REQUIRE new file mode 100644 index 000000000000..7c8193c06e65 --- /dev/null +++ b/lib/node_modules/@stdlib/ml/base/loss/float64/epsilon-insensitive-gradient/test/fixtures/julia/REQUIRE @@ -0,0 +1,2 @@ +julia 1.4.2 +JSON 0.21.0 diff --git a/lib/node_modules/@stdlib/ml/base/loss/float64/epsilon-insensitive-gradient/test/fixtures/julia/runner.jl b/lib/node_modules/@stdlib/ml/base/loss/float64/epsilon-insensitive-gradient/test/fixtures/julia/runner.jl new file mode 100755 index 000000000000..b3549c5ea082 --- /dev/null +++ b/lib/node_modules/@stdlib/ml/base/loss/float64/epsilon-insensitive-gradient/test/fixtures/julia/runner.jl @@ -0,0 +1,108 @@ +#!/usr/bin/env julia +# +# @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 JSON + +""" + gen( x, e, y, p, name ) + +Generate fixture data and write to file. + +# Arguments + +* `x`: input domain +* `e`: insensitivity parameter +* `y`: response domain +* `p`: prediction domain +* `name::AbstractString`: output filename + +# Examples + +``` julia +julia> x = range( 0.0, stop=50.0, length=503 ); +julia> e = range( 0.0, stop=5.0, length=503 ); +julia> y = range( 0.0, stop=10.0, length=503 ); +julia> p = range( 10.0, stop=0.0, length=503 ); +julia> gen( x, e, y, p, "data.json" ); +``` +""" +function gen( x, e, y, p, name ) + + d = y .- p; + v = ifelse.( d .> e, -x, + ifelse.( d .< .-e, x, 0.0 ) ); + + # Store data to be written to file as a collection: + data = Dict([ + ("x", x), + ("e", e), + ("y", y), + ("p", p), + ("expected", v) + ]); + + # Based on the script directory, create an output filepath: + filepath = joinpath( dir, name ); + + # Write the data to the output filepath as JSON: + outfile = open( filepath, "w" ); + write( outfile, JSON.json(data) ); + write( outfile, "\n" ); + close( outfile ); +end + +# Get the filename: +file = @__FILE__; + +# Extract the directory in which this file resides: +dir = dirname(file); + +# Positive tiny values: +# +# `x` is a tiny positive magnitude and `d = y - p` sweeps from strongly +# negative to strongly positive relative to the (tiny) insensitivity `e`, so +# that the returned gradient exercises the `x` (d < -e), `0.0` (|d| <= e), and +# `-x` (d > e) branches: +x = range( 0.0, stop=20e-20, length=503 ); +e = range( 0.0, stop=5e-20, length=503 ); +y = range( 0.0, stop=10e-20, length=503 ); +p = range( 10e-20, stop=0.0, length=503 ); +gen( x, e, y, p, "tiny_positive.json" ); + +# Small positive values: +x = range( 0.0, stop=50.0, length=503 ); +e = range( 0.0, stop=5.0, length=503 ); +y = range( 0.0, stop=10.0, length=503 ); +p = range( 10.0, stop=0.0, length=503 ); +gen( x, e, y, p, "small_positive.json" ); + +# Negative tiny values: +# +# As above, but `x` is a tiny negative magnitude: +x = range( 0.0, stop=-20e-20, length=503 ); +e = range( 0.0, stop=5e-20, length=503 ); +y = range( -10e-20, stop=0.0, length=503 ); +p = range( 0.0, stop=-10e-20, length=503 ); +gen( x, e, y, p, "tiny_negative.json" ); + +# Small negative values: +x = range( 0.0, stop=-50.0, length=503 ); +e = range( 0.0, stop=5.0, length=503 ); +y = range( -10.0, stop=0.0, length=503 ); +p = range( 0.0, stop=-10.0, length=503 ); +gen( x, e, y, p, "small_negative.json" ); diff --git a/lib/node_modules/@stdlib/ml/base/loss/float64/epsilon-insensitive-gradient/test/fixtures/julia/small_negative.json b/lib/node_modules/@stdlib/ml/base/loss/float64/epsilon-insensitive-gradient/test/fixtures/julia/small_negative.json new file mode 100644 index 000000000000..d68a8ac4e3c0 --- /dev/null +++ b/lib/node_modules/@stdlib/ml/base/loss/float64/epsilon-insensitive-gradient/test/fixtures/julia/small_negative.json @@ -0,0 +1 @@ +{"e":[0.0,0.0099601593625498,0.0199203187250996,0.029880478087649404,0.0398406374501992,0.049800796812749,0.05976095617529881,0.0697211155378486,0.0796812749003984,0.08964143426294821,0.099601593625498,0.10956175298804781,0.11952191235059761,0.1294820717131474,0.1394422310756972,0.14940239043824702,0.1593625498007968,0.1693227091633466,0.17928286852589642,0.1892430278884462,0.199203187250996,0.20916334661354583,0.21912350597609562,0.2290836653386454,0.23904382470119523,0.24900398406374502,0.2589641434262948,0.2689243027888446,0.2788844621513944,0.28884462151394424,0.29880478087649404,0.30876494023904383,0.3187250996015936,0.3286852589641434,0.3386454183266932,0.34860557768924305,0.35856573705179284,0.36852589641434264,0.3784860557768924,0.3884462151394422,0.398406374501992,0.40836653386454186,0.41832669322709165,0.42828685258964144,0.43824701195219123,0.448207171314741,0.4581673306772908,0.4681274900398406,0.47808764940239046,0.48804780876494025,0.49800796812749004,0.5079681274900398,0.5179282868525896,0.5278884462151394,0.5378486055776892,0.547808764940239,0.5577689243027888,0.5677290836653387,0.5776892430278885,0.5876494023904383,0.5976095617529881,0.6075697211155379,0.6175298804780877,0.6274900398406374,0.6374501992031872,0.647410358565737,0.6573705179282868,0.6673306772908366,0.6772908366533864,0.6872509960159362,0.6972111553784861,0.7071713147410359,0.7171314741035857,0.7270916334661355,0.7370517928286853,0.7470119521912351,0.7569721115537849,0.7669322709163346,0.7768924302788844,0.7868525896414342,0.796812749003984,0.8067729083665338,0.8167330677290837,0.8266932270916335,0.8366533864541833,0.8466135458167331,0.8565737051792829,0.8665338645418327,0.8764940239043825,0.8864541832669323,0.896414342629482,0.9063745019920318,0.9163346613545816,0.9262948207171314,0.9362549800796812,0.9462151394422311,0.9561752988047809,0.9661354581673307,0.9760956175298805,0.9860557768924303,0.9960159362549801,1.0059760956175299,1.0159362549800797,1.0258964143426295,1.0358565737051793,1.045816733067729,1.0557768924302788,1.0657370517928286,1.0756972111553784,1.0856573705179282,1.095617529880478,1.1055776892430278,1.1155378486055776,1.1254980079681276,1.1354581673306774,1.1454183266932272,1.155378486055777,1.1653386454183268,1.1752988047808766,1.1852589641434264,1.1952191235059761,1.205179282868526,1.2151394422310757,1.2250996015936255,1.2350597609561753,1.245019920318725,1.254980079681275,1.2649402390438247,1.2749003984063745,1.2848605577689243,1.294820717131474,1.3047808764940239,1.3147410358565736,1.3247011952191234,1.3346613545816732,1.344621513944223,1.3545816733067728,1.3645418326693226,1.3745019920318724,1.3844621513944224,1.3944223107569722,1.404382470119522,1.4143426294820718,1.4243027888446216,1.4342629482071714,1.4442231075697212,1.454183266932271,1.4641434262948207,1.4741035856573705,1.4840637450199203,1.4940239043824701,1.50398406374502,1.5139442231075697,1.5239043824701195,1.5338645418326693,1.543824701195219,1.5537848605577689,1.5637450199203187,1.5737051792828685,1.5836653386454183,1.593625498007968,1.6035856573705178,1.6135458167330676,1.6235059760956174,1.6334661354581674,1.6434262948207172,1.653386454183267,1.6633466135458168,1.6733067729083666,1.6832669322709164,1.6932270916334662,1.703187250996016,1.7131474103585658,1.7231075697211156,1.7330677290836654,1.7430278884462151,1.752988047808765,1.7629482071713147,1.7729083665338645,1.7828685258964143,1.792828685258964,1.802788844621514,1.8127490039840637,1.8227091633466135,1.8326693227091633,1.842629482071713,1.8525896414342629,1.8625498007968126,1.8725099601593624,1.8824701195219125,1.8924302788844622,1.902390438247012,1.9123505976095618,1.9223107569721116,1.9322709163346614,1.9422310756972112,1.952191235059761,1.9621513944223108,1.9721115537848606,1.9820717131474104,1.9920318725099602,2.00199203187251,2.0119521912350598,2.0219123505976095,2.0318725099601593,2.041832669322709,2.051792828685259,2.0617529880478087,2.0717131474103585,2.0816733067729083,2.091633466135458,2.101593625498008,2.1115537848605577,2.1215139442231075,2.1314741035856573,2.141434262948207,2.151394422310757,2.1613545816733066,2.1713147410358564,2.181274900398406,2.191235059760956,2.201195219123506,2.2111553784860556,2.2211155378486054,2.231075697211155,2.241035856573705,2.250996015936255,2.260956175298805,2.270916334661355,2.2808764940239046,2.2908366533864544,2.300796812749004,2.310756972111554,2.3207171314741037,2.3306772908366535,2.3406374501992033,2.350597609561753,2.360557768924303,2.3705179282868527,2.3804780876494025,2.3904382470119523,2.400398406374502,2.410358565737052,2.4203187250996017,2.4302788844621515,2.4402390438247012,2.450199203187251,2.460159362549801,2.4701195219123506,2.4800796812749004,2.49003984063745,2.5,2.50996015936255,2.5199203187250996,2.5298804780876494,2.539840637450199,2.549800796812749,2.5597609561752988,2.5697211155378485,2.5796812749003983,2.589641434262948,2.599601593625498,2.6095617529880477,2.6195219123505975,2.6294820717131473,2.639442231075697,2.649402390438247,2.6593625498007967,2.6693227091633465,2.6792828685258963,2.689243027888446,2.699203187250996,2.7091633466135456,2.7191235059760954,2.729083665338645,2.739043824701195,2.749003984063745,2.758964143426295,2.768924302788845,2.7788844621513946,2.7888446215139444,2.798804780876494,2.808764940239044,2.818725099601594,2.8286852589641436,2.8386454183266934,2.848605577689243,2.858565737051793,2.8685258964143427,2.8784860557768925,2.8884462151394423,2.898406374501992,2.908366533864542,2.9183266932270917,2.9282868525896415,2.9382470119521913,2.948207171314741,2.958167330677291,2.9681274900398407,2.9780876494023905,2.9880478087649402,2.99800796812749,3.00796812749004,3.0179282868525896,3.0278884462151394,3.037848605577689,3.047808764940239,3.057768924302789,3.0677290836653386,3.0776892430278884,3.087649402390438,3.097609561752988,3.1075697211155378,3.1175298804780875,3.1274900398406373,3.137450199203187,3.147410358565737,3.1573705179282867,3.1673306772908365,3.1772908366533863,3.187250996015936,3.197211155378486,3.2071713147410357,3.2171314741035855,3.2270916334661353,3.237051792828685,3.247011952191235,3.256972111553785,3.266932270916335,3.2768924302788847,3.2868525896414345,3.2968127490039842,3.306772908366534,3.316733067729084,3.3266932270916336,3.3366533864541834,3.346613545816733,3.356573705179283,3.366533864541833,3.3764940239043826,3.3864541832669324,3.396414342629482,3.406374501992032,3.4163346613545817,3.4262948207171315,3.4362549800796813,3.446215139442231,3.456175298804781,3.4661354581673307,3.4760956175298805,3.4860557768924303,3.49601593625498,3.50597609561753,3.5159362549800797,3.5258964143426295,3.5358565737051793,3.545816733067729,3.555776892430279,3.5657370517928286,3.5756972111553784,3.585657370517928,3.595617529880478,3.605577689243028,3.6155378486055776,3.6254980079681274,3.635458167330677,3.645418326693227,3.6553784860557768,3.6653386454183265,3.6752988047808763,3.685258964143426,3.695219123505976,3.7051792828685257,3.7151394422310755,3.7250996015936253,3.735059760956175,3.745019920318725,3.754980079681275,3.764940239043825,3.7749003984063747,3.7848605577689245,3.7948207171314743,3.804780876494024,3.814741035856574,3.8247011952191237,3.8346613545816735,3.8446215139442232,3.854581673306773,3.864541832669323,3.8745019920318726,3.8844621513944224,3.894422310756972,3.904382470119522,3.914342629482072,3.9243027888446216,3.9342629482071714,3.944223107569721,3.954183266932271,3.9641434262948207,3.9741035856573705,3.9840637450199203,3.99402390438247,4.00398406374502,4.01394422310757,4.0239043824701195,4.03386454183267,4.043824701195219,4.053784860557769,4.063745019920319,4.073705179282869,4.083665338645418,4.0936254980079685,4.103585657370518,4.113545816733068,4.123505976095617,4.133466135458168,4.143426294820717,4.153386454183267,4.163346613545817,4.173306772908367,4.183266932270916,4.193227091633466,4.203187250996016,4.213147410358566,4.223107569721115,4.233067729083666,4.243027888446215,4.252988047808765,4.2629482071713145,4.272908366533865,4.282868525896414,4.292828685258964,4.302788844621514,4.312749003984064,4.322709163346613,4.3326693227091635,4.342629482071713,4.352589641434263,4.362549800796812,4.372509960159363,4.382470119521912,4.392430278884462,4.402390438247012,4.412350597609562,4.422310756972111,4.432270916334661,4.442231075697211,4.452191235059761,4.46215139442231,4.472111553784861,4.48207171314741,4.49203187250996,4.50199203187251,4.51195219123506,4.52191235059761,4.531872509960159,4.54183266932271,4.551792828685259,4.561752988047809,4.5717131474103585,4.581673306772909,4.591633466135458,4.601593625498008,4.611553784860558,4.621513944223108,4.631474103585657,4.6414342629482075,4.651394422310757,4.661354581673307,4.671314741035856,4.681274900398407,4.691235059760956,4.701195219123506,4.711155378486056,4.721115537848606,4.731075697211155,4.741035856573705,4.750996015936255,4.760956175298805,4.770916334661354,4.780876494023905,4.790836653386454,4.800796812749004,4.8107569721115535,4.820717131474104,4.830677290836653,4.840637450199203,4.850597609561753,4.860557768924303,4.870517928286852,4.8804780876494025,4.890438247011952,4.900398406374502,4.910358565737051,4.920318725099602,4.930278884462151,4.940239043824701,4.950199203187251,4.960159362549801,4.97011952191235,4.9800796812749,4.99003984063745,5.0],"expected":[0.0,-0.099601593625498,-0.199203187250996,-0.29880478087649404,-0.398406374501992,-0.49800796812749004,-0.5976095617529881,-0.6972111553784861,-0.796812749003984,-0.896414342629482,-0.9960159362549801,-1.095617529880478,-1.1952191235059761,-1.294820717131474,-1.3944223107569722,-1.4940239043824701,-1.593625498007968,-1.6932270916334662,-1.792828685258964,-1.8924302788844622,-1.9920318725099602,-2.091633466135458,-2.191235059760956,-2.2908366533864544,-2.3904382470119523,-2.49003984063745,-2.589641434262948,-2.689243027888446,-2.7888446215139444,-2.8884462151394423,-2.9880478087649402,-3.087649402390438,-3.187250996015936,-3.2868525896414345,-3.3864541832669324,-3.4860557768924303,-3.585657370517928,-3.685258964143426,-3.7848605577689245,-3.8844621513944224,-3.9840637450199203,-4.083665338645418,-4.183266932270916,-4.282868525896414,-4.382470119521912,-4.48207171314741,-4.581673306772909,-4.681274900398407,-4.780876494023905,-4.8804780876494025,-4.9800796812749,-5.079681274900398,-5.179282868525896,-5.278884462151394,-5.378486055776892,-5.47808764940239,-5.577689243027889,-5.677290836653387,-5.776892430278885,-5.876494023904383,-5.9760956175298805,-6.075697211155378,-6.175298804780876,-6.274900398406374,-6.374501992031872,-6.47410358565737,-6.573705179282869,-6.673306772908367,-6.772908366533865,-6.872509960159363,-6.972111553784861,-7.0717131474103585,-7.171314741035856,-7.270916334661354,-7.370517928286852,-7.47011952191235,-7.569721115537849,-7.669322709163347,-7.768924302788845,-7.868525896414343,-7.968127490039841,-8.06772908366534,-8.167330677290837,-8.266932270916335,-8.366533864541832,-8.466135458167331,-8.565737051792828,-8.665338645418327,-8.764940239043824,-8.864541832669323,-8.96414342629482,-9.063745019920319,-9.163346613545817,-9.262948207171315,-9.362549800796813,-9.46215139442231,-9.56175298804781,-9.661354581673306,-9.760956175298805,-9.860557768924302,-9.9601593625498,-10.0597609561753,-10.159362549800797,-10.258964143426295,-10.358565737051793,-10.458167330677291,-10.557768924302788,-10.657370517928287,-10.756972111553784,-10.856573705179283,-10.95617529880478,-11.055776892430279,-11.155378486055778,-11.254980079681275,-11.354581673306773,-11.45418326693227,-11.55378486055777,-11.653386454183266,-11.752988047808765,-11.852589641434262,-11.952191235059761,-12.05179282868526,-12.151394422310757,-12.250996015936256,-12.350597609561753,-12.450199203187251,-12.549800796812749,-12.649402390438247,-12.749003984063744,-12.848605577689243,-12.94820717131474,-13.047808764940239,-13.147410358565738,-13.247011952191235,-13.346613545816734,-13.44621513944223,-13.54581673306773,-13.645418326693227,-13.745019920318725,-13.844621513944222,-13.944223107569721,-14.04382470119522,-14.143426294820717,-14.243027888446216,-14.342629482071713,-14.442231075697212,-14.541832669322709,-14.641434262948207,-14.741035856573705,-14.840637450199203,-14.9402390438247,-15.0398406374502,-15.139442231075698,-15.239043824701195,-15.338645418326694,-15.43824701195219,-15.53784860557769,-15.637450199203187,-15.737051792828685,-15.836653386454183,-15.936254980079681,-16.03585657370518,-16.13545816733068,-16.235059760956176,-16.334661354581673,-16.43426294820717,-16.53386454183267,-16.633466135458168,-16.733067729083665,-16.83266932270916,-16.932270916334662,-17.03187250996016,-17.131474103585656,-17.231075697211157,-17.330677290836654,-17.43027888446215,-17.529880478087648,-17.62948207171315,-17.729083665338646,-17.828685258964143,-17.92828685258964,-18.02788844621514,-18.127490039840637,-18.227091633466134,-18.326693227091635,-18.426294820717132,-18.52589641434263,-18.625498007968126,-18.725099601593627,-18.824701195219124,-18.92430278884462,-19.02390438247012,-19.12350597609562,-19.223107569721115,-19.322709163346612,-19.422310756972113,-19.52191235059761,-19.621513944223107,-19.721115537848604,-19.820717131474105,-19.9203187250996,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,33.366533864541836,33.46613545816733,33.56573705179283,33.66533864541832,33.764940239043824,33.864541832669325,33.96414342629482,34.06374501992032,34.16334661354582,34.26294820717131,34.36254980079681,34.462151394422314,34.56175298804781,34.66135458167331,34.7609561752988,34.8605577689243,34.9601593625498,35.059760956175296,35.1593625498008,35.2589641434263,35.35856573705179,35.45816733067729,35.55776892430279,35.657370517928285,35.756972111553786,35.85657370517928,35.95617529880478,36.05577689243028,36.155378486055774,36.254980079681275,36.354581673306775,36.45418326693227,36.55378486055777,36.65338645418327,36.75298804780876,36.852589641434264,36.95219123505976,37.05179282868526,37.15139442231076,37.25099601593625,37.35059760956175,37.45019920318725,37.54980079681275,37.64940239043825,37.74900398406375,37.84860557768924,37.94820717131474,38.04780876494024,38.147410358565736,38.24701195219124,38.34661354581673,38.44621513944223,38.54581673306773,38.645418326693225,38.745019920318725,38.844621513944226,38.94422310756972,39.04382470119522,39.14342629482072,39.243027888446214,39.342629482071715,39.44223107569721,39.54183266932271,39.64143426294821,39.7410358565737,39.8406374501992,39.940239043824704,40.0398406374502,40.1394422310757,40.2390438247012,40.33864541832669,40.43824701195219,40.537848605577686,40.63745019920319,40.73705179282869,40.83665338645418,40.93625498007968,41.03585657370518,41.135458167330675,41.235059760956176,41.33466135458168,41.43426294820717,41.53386454183267,41.633466135458164,41.733067729083665,41.832669322709165,41.93227091633466,42.03187250996016,42.13147410358566,42.23107569721115,42.330677290836654,42.430278884462155,42.52988047808765,42.62948207171315,42.72908366533864,42.82868525896414,42.92828685258964,43.02788844621514,43.12749003984064,43.22709163346614,43.32669322709163,43.42629482071713,43.52589641434263,43.625498007968126,43.72509960159363,43.82470119521912,43.92430278884462,44.02390438247012,44.123505976095615,44.223107569721115,44.322709163346616,44.42231075697211,44.52191235059761,44.62151394422311,44.721115537848604,44.820717131474105,44.9203187250996,45.0199203187251,45.1195219123506,45.21912350597609,45.31872509960159,45.418326693227094,45.51792828685259,45.61752988047809,45.71713147410359,45.81673306772908,45.91633466135458,46.01593625498008,46.11553784860558,46.21513944223108,46.31474103585657,46.41434262948207,46.51394422310757,46.613545816733065,46.713147410358566,46.81274900398407,46.91235059760956,47.01195219123506,47.11155378486056,47.211155378486055,47.310756972111555,47.41035856573705,47.50996015936255,47.60956175298805,47.70916334661354,47.808764940239044,47.908366533864545,48.00796812749004,48.10756972111554,48.20717131474104,48.30677290836653,48.40637450199203,48.50597609561753,48.60557768924303,48.70517928286853,48.80478087649402,48.90438247011952,49.00398406374502,49.103585657370516,49.20318725099602,49.30278884462152,49.40239043824701,49.50199203187251,49.601593625498005,49.701195219123505,49.800796812749006,49.9003984063745,50.0],"p":[0.0,-0.0199203187250996,-0.0398406374501992,-0.05976095617529881,-0.0796812749003984,-0.099601593625498,-0.11952191235059761,-0.1394422310756972,-0.1593625498007968,-0.17928286852589642,-0.199203187250996,-0.21912350597609562,-0.23904382470119523,-0.2589641434262948,-0.2788844621513944,-0.29880478087649404,-0.3187250996015936,-0.3386454183266932,-0.35856573705179284,-0.3784860557768924,-0.398406374501992,-0.41832669322709165,-0.43824701195219123,-0.4581673306772908,-0.47808764940239046,-0.49800796812749004,-0.5179282868525896,-0.5378486055776892,-0.5577689243027888,-0.5776892430278885,-0.5976095617529881,-0.6175298804780877,-0.6374501992031872,-0.6573705179282868,-0.6772908366533864,-0.6972111553784861,-0.7171314741035857,-0.7370517928286853,-0.7569721115537849,-0.7768924302788844,-0.796812749003984,-0.8167330677290837,-0.8366533864541833,-0.8565737051792829,-0.8764940239043825,-0.896414342629482,-0.9163346613545816,-0.9362549800796812,-0.9561752988047809,-0.9760956175298805,-0.9960159362549801,-1.0159362549800797,-1.0358565737051793,-1.0557768924302788,-1.0756972111553784,-1.095617529880478,-1.1155378486055776,-1.1354581673306774,-1.155378486055777,-1.1752988047808766,-1.1952191235059761,-1.2151394422310757,-1.2350597609561753,-1.254980079681275,-1.2749003984063745,-1.294820717131474,-1.3147410358565736,-1.3346613545816732,-1.3545816733067728,-1.3745019920318724,-1.3944223107569722,-1.4143426294820718,-1.4342629482071714,-1.454183266932271,-1.4741035856573705,-1.4940239043824701,-1.5139442231075697,-1.5338645418326693,-1.5537848605577689,-1.5737051792828685,-1.593625498007968,-1.6135458167330676,-1.6334661354581674,-1.653386454183267,-1.6733067729083666,-1.6932270916334662,-1.7131474103585658,-1.7330677290836654,-1.752988047808765,-1.7729083665338645,-1.792828685258964,-1.8127490039840637,-1.8326693227091633,-1.8525896414342629,-1.8725099601593624,-1.8924302788844622,-1.9123505976095618,-1.9322709163346614,-1.952191235059761,-1.9721115537848606,-1.9920318725099602,-2.0119521912350598,-2.0318725099601593,-2.051792828685259,-2.0717131474103585,-2.091633466135458,-2.1115537848605577,-2.1314741035856573,-2.151394422310757,-2.1713147410358564,-2.191235059760956,-2.2111553784860556,-2.231075697211155,-2.250996015936255,-2.270916334661355,-2.2908366533864544,-2.310756972111554,-2.3306772908366535,-2.350597609561753,-2.3705179282868527,-2.3904382470119523,-2.410358565737052,-2.4302788844621515,-2.450199203187251,-2.4701195219123506,-2.49003984063745,-2.50996015936255,-2.5298804780876494,-2.549800796812749,-2.5697211155378485,-2.589641434262948,-2.6095617529880477,-2.6294820717131473,-2.649402390438247,-2.6693227091633465,-2.689243027888446,-2.7091633466135456,-2.729083665338645,-2.749003984063745,-2.768924302788845,-2.7888446215139444,-2.808764940239044,-2.8286852589641436,-2.848605577689243,-2.8685258964143427,-2.8884462151394423,-2.908366533864542,-2.9282868525896415,-2.948207171314741,-2.9681274900398407,-2.9880478087649402,-3.00796812749004,-3.0278884462151394,-3.047808764940239,-3.0677290836653386,-3.087649402390438,-3.1075697211155378,-3.1274900398406373,-3.147410358565737,-3.1673306772908365,-3.187250996015936,-3.2071713147410357,-3.2270916334661353,-3.247011952191235,-3.266932270916335,-3.2868525896414345,-3.306772908366534,-3.3266932270916336,-3.346613545816733,-3.366533864541833,-3.3864541832669324,-3.406374501992032,-3.4262948207171315,-3.446215139442231,-3.4661354581673307,-3.4860557768924303,-3.50597609561753,-3.5258964143426295,-3.545816733067729,-3.5657370517928286,-3.585657370517928,-3.605577689243028,-3.6254980079681274,-3.645418326693227,-3.6653386454183265,-3.685258964143426,-3.7051792828685257,-3.7250996015936253,-3.745019920318725,-3.764940239043825,-3.7848605577689245,-3.804780876494024,-3.8247011952191237,-3.8446215139442232,-3.864541832669323,-3.8844621513944224,-3.904382470119522,-3.9243027888446216,-3.944223107569721,-3.9641434262948207,-3.9840637450199203,-4.00398406374502,-4.0239043824701195,-4.043824701195219,-4.063745019920319,-4.083665338645418,-4.103585657370518,-4.123505976095617,-4.143426294820717,-4.163346613545817,-4.183266932270916,-4.203187250996016,-4.223107569721115,-4.243027888446215,-4.2629482071713145,-4.282868525896414,-4.302788844621514,-4.322709163346613,-4.342629482071713,-4.362549800796812,-4.382470119521912,-4.402390438247012,-4.422310756972111,-4.442231075697211,-4.46215139442231,-4.48207171314741,-4.50199203187251,-4.52191235059761,-4.54183266932271,-4.561752988047809,-4.581673306772909,-4.601593625498008,-4.621513944223108,-4.6414342629482075,-4.661354581673307,-4.681274900398407,-4.701195219123506,-4.721115537848606,-4.741035856573705,-4.760956175298805,-4.780876494023905,-4.800796812749004,-4.820717131474104,-4.840637450199203,-4.860557768924303,-4.8804780876494025,-4.900398406374502,-4.920318725099602,-4.940239043824701,-4.960159362549801,-4.9800796812749,-5.0,-5.0199203187251,-5.039840637450199,-5.059760956175299,-5.079681274900398,-5.099601593625498,-5.1195219123505975,-5.139442231075697,-5.159362549800797,-5.179282868525896,-5.199203187250996,-5.219123505976095,-5.239043824701195,-5.258964143426295,-5.278884462151394,-5.298804780876494,-5.318725099601593,-5.338645418326693,-5.3585657370517925,-5.378486055776892,-5.398406374501992,-5.418326693227091,-5.438247011952191,-5.45816733067729,-5.47808764940239,-5.49800796812749,-5.51792828685259,-5.53784860557769,-5.557768924302789,-5.577689243027889,-5.597609561752988,-5.617529880478088,-5.637450199203188,-5.657370517928287,-5.677290836653387,-5.697211155378486,-5.717131474103586,-5.7370517928286855,-5.756972111553785,-5.776892430278885,-5.796812749003984,-5.816733067729084,-5.836653386454183,-5.856573705179283,-5.876494023904383,-5.896414342629482,-5.916334661354582,-5.936254980079681,-5.956175298804781,-5.9760956175298805,-5.99601593625498,-6.01593625498008,-6.035856573705179,-6.055776892430279,-6.075697211155378,-6.095617529880478,-6.115537848605578,-6.135458167330677,-6.155378486055777,-6.175298804780876,-6.195219123505976,-6.2151394422310755,-6.235059760956175,-6.254980079681275,-6.274900398406374,-6.294820717131474,-6.314741035856573,-6.334661354581673,-6.354581673306773,-6.374501992031872,-6.394422310756972,-6.414342629482071,-6.434262948207171,-6.4541832669322705,-6.47410358565737,-6.49402390438247,-6.51394422310757,-6.53386454183267,-6.553784860557769,-6.573705179282869,-6.5936254980079685,-6.613545816733068,-6.633466135458168,-6.653386454183267,-6.673306772908367,-6.693227091633466,-6.713147410358566,-6.733067729083666,-6.752988047808765,-6.772908366533865,-6.792828685258964,-6.812749003984064,-6.8326693227091635,-6.852589641434263,-6.872509960159363,-6.892430278884462,-6.912350597609562,-6.932270916334661,-6.952191235059761,-6.972111553784861,-6.99203187250996,-7.01195219123506,-7.031872509960159,-7.051792828685259,-7.0717131474103585,-7.091633466135458,-7.111553784860558,-7.131474103585657,-7.151394422310757,-7.171314741035856,-7.191235059760956,-7.211155378486056,-7.231075697211155,-7.250996015936255,-7.270916334661354,-7.290836653386454,-7.3107569721115535,-7.330677290836653,-7.350597609561753,-7.370517928286852,-7.390438247011952,-7.410358565737051,-7.430278884462151,-7.450199203187251,-7.47011952191235,-7.49003984063745,-7.50996015936255,-7.52988047808765,-7.549800796812749,-7.569721115537849,-7.589641434262949,-7.609561752988048,-7.629482071713148,-7.649402390438247,-7.669322709163347,-7.6892430278884465,-7.709163346613546,-7.729083665338646,-7.749003984063745,-7.768924302788845,-7.788844621513944,-7.808764940239044,-7.828685258964144,-7.848605577689243,-7.868525896414343,-7.888446215139442,-7.908366533864542,-7.9282868525896415,-7.948207171314741,-7.968127490039841,-7.98804780876494,-8.00796812749004,-8.02788844621514,-8.047808764940239,-8.06772908366534,-8.087649402390438,-8.107569721115539,-8.127490039840637,-8.147410358565738,-8.167330677290837,-8.187250996015937,-8.207171314741036,-8.227091633466136,-8.247011952191235,-8.266932270916335,-8.286852589641434,-8.306772908366534,-8.326693227091633,-8.346613545816734,-8.366533864541832,-8.386454183266933,-8.406374501992032,-8.426294820717132,-8.44621513944223,-8.466135458167331,-8.48605577689243,-8.50597609561753,-8.525896414342629,-8.54581673306773,-8.565737051792828,-8.585657370517929,-8.605577689243027,-8.625498007968128,-8.645418326693227,-8.665338645418327,-8.685258964143426,-8.705179282868526,-8.725099601593625,-8.745019920318725,-8.764940239043824,-8.784860557768924,-8.804780876494023,-8.824701195219124,-8.844621513944222,-8.864541832669323,-8.884462151394422,-8.904382470119522,-8.92430278884462,-8.944223107569721,-8.96414342629482,-8.98406374501992,-9.00398406374502,-9.02390438247012,-9.04382470119522,-9.063745019920319,-9.08366533864542,-9.103585657370518,-9.123505976095618,-9.143426294820717,-9.163346613545817,-9.183266932270916,-9.203187250996017,-9.223107569721115,-9.243027888446216,-9.262948207171315,-9.282868525896415,-9.302788844621514,-9.322709163346614,-9.342629482071713,-9.362549800796813,-9.382470119521912,-9.402390438247012,-9.422310756972111,-9.442231075697212,-9.46215139442231,-9.48207171314741,-9.50199203187251,-9.52191235059761,-9.541832669322709,-9.56175298804781,-9.581673306772908,-9.601593625498008,-9.621513944223107,-9.641434262948207,-9.661354581673306,-9.681274900398407,-9.701195219123505,-9.721115537848606,-9.741035856573705,-9.760956175298805,-9.780876494023904,-9.800796812749004,-9.820717131474103,-9.840637450199203,-9.860557768924302,-9.880478087649402,-9.900398406374501,-9.920318725099602,-9.9402390438247,-9.9601593625498,-9.9800796812749,-10.0],"x":[0.0,-0.099601593625498,-0.199203187250996,-0.29880478087649404,-0.398406374501992,-0.49800796812749004,-0.5976095617529881,-0.6972111553784861,-0.796812749003984,-0.896414342629482,-0.9960159362549801,-1.095617529880478,-1.1952191235059761,-1.294820717131474,-1.3944223107569722,-1.4940239043824701,-1.593625498007968,-1.6932270916334662,-1.792828685258964,-1.8924302788844622,-1.9920318725099602,-2.091633466135458,-2.191235059760956,-2.2908366533864544,-2.3904382470119523,-2.49003984063745,-2.589641434262948,-2.689243027888446,-2.7888446215139444,-2.8884462151394423,-2.9880478087649402,-3.087649402390438,-3.187250996015936,-3.2868525896414345,-3.3864541832669324,-3.4860557768924303,-3.585657370517928,-3.685258964143426,-3.7848605577689245,-3.8844621513944224,-3.9840637450199203,-4.083665338645418,-4.183266932270916,-4.282868525896414,-4.382470119521912,-4.48207171314741,-4.581673306772909,-4.681274900398407,-4.780876494023905,-4.8804780876494025,-4.9800796812749,-5.079681274900398,-5.179282868525896,-5.278884462151394,-5.378486055776892,-5.47808764940239,-5.577689243027889,-5.677290836653387,-5.776892430278885,-5.876494023904383,-5.9760956175298805,-6.075697211155378,-6.175298804780876,-6.274900398406374,-6.374501992031872,-6.47410358565737,-6.573705179282869,-6.673306772908367,-6.772908366533865,-6.872509960159363,-6.972111553784861,-7.0717131474103585,-7.171314741035856,-7.270916334661354,-7.370517928286852,-7.47011952191235,-7.569721115537849,-7.669322709163347,-7.768924302788845,-7.868525896414343,-7.968127490039841,-8.06772908366534,-8.167330677290837,-8.266932270916335,-8.366533864541832,-8.466135458167331,-8.565737051792828,-8.665338645418327,-8.764940239043824,-8.864541832669323,-8.96414342629482,-9.063745019920319,-9.163346613545817,-9.262948207171315,-9.362549800796813,-9.46215139442231,-9.56175298804781,-9.661354581673306,-9.760956175298805,-9.860557768924302,-9.9601593625498,-10.0597609561753,-10.159362549800797,-10.258964143426295,-10.358565737051793,-10.458167330677291,-10.557768924302788,-10.657370517928287,-10.756972111553784,-10.856573705179283,-10.95617529880478,-11.055776892430279,-11.155378486055778,-11.254980079681275,-11.354581673306773,-11.45418326693227,-11.55378486055777,-11.653386454183266,-11.752988047808765,-11.852589641434262,-11.952191235059761,-12.05179282868526,-12.151394422310757,-12.250996015936256,-12.350597609561753,-12.450199203187251,-12.549800796812749,-12.649402390438247,-12.749003984063744,-12.848605577689243,-12.94820717131474,-13.047808764940239,-13.147410358565738,-13.247011952191235,-13.346613545816734,-13.44621513944223,-13.54581673306773,-13.645418326693227,-13.745019920318725,-13.844621513944222,-13.944223107569721,-14.04382470119522,-14.143426294820717,-14.243027888446216,-14.342629482071713,-14.442231075697212,-14.541832669322709,-14.641434262948207,-14.741035856573705,-14.840637450199203,-14.9402390438247,-15.0398406374502,-15.139442231075698,-15.239043824701195,-15.338645418326694,-15.43824701195219,-15.53784860557769,-15.637450199203187,-15.737051792828685,-15.836653386454183,-15.936254980079681,-16.03585657370518,-16.13545816733068,-16.235059760956176,-16.334661354581673,-16.43426294820717,-16.53386454183267,-16.633466135458168,-16.733067729083665,-16.83266932270916,-16.932270916334662,-17.03187250996016,-17.131474103585656,-17.231075697211157,-17.330677290836654,-17.43027888446215,-17.529880478087648,-17.62948207171315,-17.729083665338646,-17.828685258964143,-17.92828685258964,-18.02788844621514,-18.127490039840637,-18.227091633466134,-18.326693227091635,-18.426294820717132,-18.52589641434263,-18.625498007968126,-18.725099601593627,-18.824701195219124,-18.92430278884462,-19.02390438247012,-19.12350597609562,-19.223107569721115,-19.322709163346612,-19.422310756972113,-19.52191235059761,-19.621513944223107,-19.721115537848604,-19.820717131474105,-19.9203187250996,-20.0199203187251,-20.1195219123506,-20.219123505976096,-20.318725099601593,-20.41832669322709,-20.51792828685259,-20.617529880478088,-20.717131474103585,-20.816733067729082,-20.916334661354583,-21.01593625498008,-21.115537848605577,-21.215139442231077,-21.314741035856574,-21.41434262948207,-21.51394422310757,-21.61354581673307,-21.713147410358566,-21.812749003984063,-21.91235059760956,-22.01195219123506,-22.111553784860558,-22.211155378486055,-22.310756972111555,-22.410358565737052,-22.50996015936255,-22.609561752988046,-22.709163346613547,-22.808764940239044,-22.90836653386454,-23.00796812749004,-23.10756972111554,-23.207171314741036,-23.306772908366533,-23.406374501992033,-23.50597609561753,-23.605577689243027,-23.705179282868524,-23.804780876494025,-23.904382470119522,-24.00398406374502,-24.10358565737052,-24.203187250996017,-24.302788844621514,-24.40239043824701,-24.50199203187251,-24.60159362549801,-24.701195219123505,-24.800796812749002,-24.900398406374503,-25.0,-25.099601593625497,-25.199203187250998,-25.298804780876495,-25.39840637450199,-25.49800796812749,-25.59760956175299,-25.697211155378486,-25.796812749003983,-25.89641434262948,-25.99601593625498,-26.095617529880478,-26.195219123505975,-26.294820717131476,-26.394422310756973,-26.49402390438247,-26.593625498007967,-26.693227091633467,-26.792828685258964,-26.89243027888446,-26.99203187250996,-27.09163346613546,-27.191235059760956,-27.290836653386453,-27.390438247011954,-27.49003984063745,-27.589641434262948,-27.689243027888445,-27.788844621513945,-27.888446215139442,-27.98804780876494,-28.08764940239044,-28.187250996015937,-28.286852589641434,-28.38645418326693,-28.48605577689243,-28.58565737051793,-28.685258964143426,-28.784860557768923,-28.884462151394423,-28.98406374501992,-29.083665338645417,-29.183266932270918,-29.282868525896415,-29.382470119521912,-29.48207171314741,-29.58167330677291,-29.681274900398407,-29.780876494023904,-29.8804780876494,-29.9800796812749,-30.0796812749004,-30.179282868525895,-30.278884462151396,-30.378486055776893,-30.47808764940239,-30.577689243027887,-30.677290836653388,-30.776892430278885,-30.87649402390438,-30.97609561752988,-31.07569721115538,-31.175298804780876,-31.274900398406373,-31.374501992031874,-31.47410358565737,-31.573705179282868,-31.673306772908365,-31.772908366533866,-31.872509960159363,-31.97211155378486,-32.07171314741036,-32.17131474103586,-32.27091633466136,-32.37051792828685,-32.47011952191235,-32.569721115537845,-32.669322709163346,-32.76892430278885,-32.86852589641434,-32.96812749003984,-33.06772908366534,-33.167330677290835,-33.266932270916335,-33.366533864541836,-33.46613545816733,-33.56573705179283,-33.66533864541832,-33.764940239043824,-33.864541832669325,-33.96414342629482,-34.06374501992032,-34.16334661354582,-34.26294820717131,-34.36254980079681,-34.462151394422314,-34.56175298804781,-34.66135458167331,-34.7609561752988,-34.8605577689243,-34.9601593625498,-35.059760956175296,-35.1593625498008,-35.2589641434263,-35.35856573705179,-35.45816733067729,-35.55776892430279,-35.657370517928285,-35.756972111553786,-35.85657370517928,-35.95617529880478,-36.05577689243028,-36.155378486055774,-36.254980079681275,-36.354581673306775,-36.45418326693227,-36.55378486055777,-36.65338645418327,-36.75298804780876,-36.852589641434264,-36.95219123505976,-37.05179282868526,-37.15139442231076,-37.25099601593625,-37.35059760956175,-37.45019920318725,-37.54980079681275,-37.64940239043825,-37.74900398406375,-37.84860557768924,-37.94820717131474,-38.04780876494024,-38.147410358565736,-38.24701195219124,-38.34661354581673,-38.44621513944223,-38.54581673306773,-38.645418326693225,-38.745019920318725,-38.844621513944226,-38.94422310756972,-39.04382470119522,-39.14342629482072,-39.243027888446214,-39.342629482071715,-39.44223107569721,-39.54183266932271,-39.64143426294821,-39.7410358565737,-39.8406374501992,-39.940239043824704,-40.0398406374502,-40.1394422310757,-40.2390438247012,-40.33864541832669,-40.43824701195219,-40.537848605577686,-40.63745019920319,-40.73705179282869,-40.83665338645418,-40.93625498007968,-41.03585657370518,-41.135458167330675,-41.235059760956176,-41.33466135458168,-41.43426294820717,-41.53386454183267,-41.633466135458164,-41.733067729083665,-41.832669322709165,-41.93227091633466,-42.03187250996016,-42.13147410358566,-42.23107569721115,-42.330677290836654,-42.430278884462155,-42.52988047808765,-42.62948207171315,-42.72908366533864,-42.82868525896414,-42.92828685258964,-43.02788844621514,-43.12749003984064,-43.22709163346614,-43.32669322709163,-43.42629482071713,-43.52589641434263,-43.625498007968126,-43.72509960159363,-43.82470119521912,-43.92430278884462,-44.02390438247012,-44.123505976095615,-44.223107569721115,-44.322709163346616,-44.42231075697211,-44.52191235059761,-44.62151394422311,-44.721115537848604,-44.820717131474105,-44.9203187250996,-45.0199203187251,-45.1195219123506,-45.21912350597609,-45.31872509960159,-45.418326693227094,-45.51792828685259,-45.61752988047809,-45.71713147410359,-45.81673306772908,-45.91633466135458,-46.01593625498008,-46.11553784860558,-46.21513944223108,-46.31474103585657,-46.41434262948207,-46.51394422310757,-46.613545816733065,-46.713147410358566,-46.81274900398407,-46.91235059760956,-47.01195219123506,-47.11155378486056,-47.211155378486055,-47.310756972111555,-47.41035856573705,-47.50996015936255,-47.60956175298805,-47.70916334661354,-47.808764940239044,-47.908366533864545,-48.00796812749004,-48.10756972111554,-48.20717131474104,-48.30677290836653,-48.40637450199203,-48.50597609561753,-48.60557768924303,-48.70517928286853,-48.80478087649402,-48.90438247011952,-49.00398406374502,-49.103585657370516,-49.20318725099602,-49.30278884462152,-49.40239043824701,-49.50199203187251,-49.601593625498005,-49.701195219123505,-49.800796812749006,-49.9003984063745,-50.0],"y":[-10.0,-9.9800796812749,-9.9601593625498,-9.9402390438247,-9.920318725099602,-9.900398406374501,-9.880478087649402,-9.860557768924302,-9.840637450199203,-9.820717131474103,-9.800796812749004,-9.780876494023904,-9.760956175298805,-9.741035856573705,-9.721115537848606,-9.701195219123505,-9.681274900398407,-9.661354581673306,-9.641434262948207,-9.621513944223107,-9.601593625498008,-9.581673306772908,-9.56175298804781,-9.541832669322709,-9.52191235059761,-9.50199203187251,-9.48207171314741,-9.46215139442231,-9.442231075697212,-9.422310756972111,-9.402390438247012,-9.382470119521912,-9.362549800796813,-9.342629482071713,-9.322709163346614,-9.302788844621514,-9.282868525896415,-9.262948207171315,-9.243027888446216,-9.223107569721115,-9.203187250996017,-9.183266932270916,-9.163346613545817,-9.143426294820717,-9.123505976095618,-9.103585657370518,-9.08366533864542,-9.063745019920319,-9.04382470119522,-9.02390438247012,-9.00398406374502,-8.98406374501992,-8.96414342629482,-8.944223107569721,-8.92430278884462,-8.904382470119522,-8.884462151394422,-8.864541832669323,-8.844621513944222,-8.824701195219124,-8.804780876494023,-8.784860557768924,-8.764940239043824,-8.745019920318725,-8.725099601593625,-8.705179282868526,-8.685258964143426,-8.665338645418327,-8.645418326693227,-8.625498007968128,-8.605577689243027,-8.585657370517929,-8.565737051792828,-8.54581673306773,-8.525896414342629,-8.50597609561753,-8.48605577689243,-8.466135458167331,-8.44621513944223,-8.426294820717132,-8.406374501992032,-8.386454183266933,-8.366533864541832,-8.346613545816734,-8.326693227091633,-8.306772908366534,-8.286852589641434,-8.266932270916335,-8.247011952191235,-8.227091633466136,-8.207171314741036,-8.187250996015937,-8.167330677290837,-8.147410358565738,-8.127490039840637,-8.107569721115539,-8.087649402390438,-8.06772908366534,-8.047808764940239,-8.02788844621514,-8.00796812749004,-7.98804780876494,-7.968127490039841,-7.948207171314741,-7.9282868525896415,-7.908366533864542,-7.888446215139442,-7.868525896414343,-7.848605577689243,-7.828685258964144,-7.808764940239044,-7.788844621513944,-7.768924302788845,-7.749003984063745,-7.729083665338646,-7.709163346613546,-7.6892430278884465,-7.669322709163347,-7.649402390438247,-7.629482071713148,-7.609561752988048,-7.589641434262949,-7.569721115537849,-7.549800796812749,-7.52988047808765,-7.50996015936255,-7.49003984063745,-7.47011952191235,-7.450199203187251,-7.430278884462151,-7.410358565737051,-7.390438247011952,-7.370517928286852,-7.350597609561753,-7.330677290836653,-7.3107569721115535,-7.290836653386454,-7.270916334661354,-7.250996015936255,-7.231075697211155,-7.211155378486056,-7.191235059760956,-7.171314741035856,-7.151394422310757,-7.131474103585657,-7.111553784860558,-7.091633466135458,-7.0717131474103585,-7.051792828685259,-7.031872509960159,-7.01195219123506,-6.99203187250996,-6.972111553784861,-6.952191235059761,-6.932270916334661,-6.912350597609562,-6.892430278884462,-6.872509960159363,-6.852589641434263,-6.8326693227091635,-6.812749003984064,-6.792828685258964,-6.772908366533865,-6.752988047808765,-6.733067729083666,-6.713147410358566,-6.693227091633466,-6.673306772908367,-6.653386454183267,-6.633466135458168,-6.613545816733068,-6.5936254980079685,-6.573705179282869,-6.553784860557769,-6.53386454183267,-6.51394422310757,-6.49402390438247,-6.47410358565737,-6.4541832669322705,-6.434262948207171,-6.414342629482071,-6.394422310756972,-6.374501992031872,-6.354581673306773,-6.334661354581673,-6.314741035856573,-6.294820717131474,-6.274900398406374,-6.254980079681275,-6.235059760956175,-6.2151394422310755,-6.195219123505976,-6.175298804780876,-6.155378486055777,-6.135458167330677,-6.115537848605578,-6.095617529880478,-6.075697211155378,-6.055776892430279,-6.035856573705179,-6.01593625498008,-5.99601593625498,-5.9760956175298805,-5.956175298804781,-5.936254980079681,-5.916334661354582,-5.896414342629482,-5.876494023904383,-5.856573705179283,-5.836653386454183,-5.816733067729084,-5.796812749003984,-5.776892430278885,-5.756972111553785,-5.7370517928286855,-5.717131474103586,-5.697211155378486,-5.677290836653387,-5.657370517928287,-5.637450199203188,-5.617529880478088,-5.597609561752988,-5.577689243027889,-5.557768924302789,-5.53784860557769,-5.51792828685259,-5.49800796812749,-5.47808764940239,-5.45816733067729,-5.438247011952191,-5.418326693227091,-5.398406374501992,-5.378486055776892,-5.3585657370517925,-5.338645418326693,-5.318725099601593,-5.298804780876494,-5.278884462151394,-5.258964143426295,-5.239043824701195,-5.219123505976095,-5.199203187250996,-5.179282868525896,-5.159362549800797,-5.139442231075697,-5.1195219123505975,-5.099601593625498,-5.079681274900398,-5.059760956175299,-5.039840637450199,-5.0199203187251,-5.0,-4.9800796812749,-4.960159362549801,-4.940239043824701,-4.920318725099602,-4.900398406374502,-4.8804780876494025,-4.860557768924303,-4.840637450199203,-4.820717131474104,-4.800796812749004,-4.780876494023905,-4.760956175298805,-4.741035856573705,-4.721115537848606,-4.701195219123506,-4.681274900398407,-4.661354581673307,-4.6414342629482075,-4.621513944223108,-4.601593625498008,-4.581673306772909,-4.561752988047809,-4.54183266932271,-4.52191235059761,-4.50199203187251,-4.48207171314741,-4.46215139442231,-4.442231075697211,-4.422310756972111,-4.402390438247012,-4.382470119521912,-4.362549800796812,-4.342629482071713,-4.322709163346613,-4.302788844621514,-4.282868525896414,-4.2629482071713145,-4.243027888446215,-4.223107569721115,-4.203187250996016,-4.183266932270916,-4.163346613545817,-4.143426294820717,-4.123505976095617,-4.103585657370518,-4.083665338645418,-4.063745019920319,-4.043824701195219,-4.0239043824701195,-4.00398406374502,-3.9840637450199203,-3.9641434262948207,-3.944223107569721,-3.9243027888446216,-3.904382470119522,-3.8844621513944224,-3.864541832669323,-3.8446215139442232,-3.8247011952191237,-3.804780876494024,-3.7848605577689245,-3.764940239043825,-3.745019920318725,-3.7250996015936253,-3.7051792828685257,-3.685258964143426,-3.6653386454183265,-3.645418326693227,-3.6254980079681274,-3.605577689243028,-3.585657370517928,-3.5657370517928286,-3.545816733067729,-3.5258964143426295,-3.50597609561753,-3.4860557768924303,-3.4661354581673307,-3.446215139442231,-3.4262948207171315,-3.406374501992032,-3.3864541832669324,-3.366533864541833,-3.346613545816733,-3.3266932270916336,-3.306772908366534,-3.2868525896414345,-3.266932270916335,-3.247011952191235,-3.2270916334661353,-3.2071713147410357,-3.187250996015936,-3.1673306772908365,-3.147410358565737,-3.1274900398406373,-3.1075697211155378,-3.087649402390438,-3.0677290836653386,-3.047808764940239,-3.0278884462151394,-3.00796812749004,-2.9880478087649402,-2.9681274900398407,-2.948207171314741,-2.9282868525896415,-2.908366533864542,-2.8884462151394423,-2.8685258964143427,-2.848605577689243,-2.8286852589641436,-2.808764940239044,-2.7888446215139444,-2.768924302788845,-2.749003984063745,-2.729083665338645,-2.7091633466135456,-2.689243027888446,-2.6693227091633465,-2.649402390438247,-2.6294820717131473,-2.6095617529880477,-2.589641434262948,-2.5697211155378485,-2.549800796812749,-2.5298804780876494,-2.50996015936255,-2.49003984063745,-2.4701195219123506,-2.450199203187251,-2.4302788844621515,-2.410358565737052,-2.3904382470119523,-2.3705179282868527,-2.350597609561753,-2.3306772908366535,-2.310756972111554,-2.2908366533864544,-2.270916334661355,-2.250996015936255,-2.231075697211155,-2.2111553784860556,-2.191235059760956,-2.1713147410358564,-2.151394422310757,-2.1314741035856573,-2.1115537848605577,-2.091633466135458,-2.0717131474103585,-2.051792828685259,-2.0318725099601593,-2.0119521912350598,-1.9920318725099602,-1.9721115537848606,-1.952191235059761,-1.9322709163346614,-1.9123505976095618,-1.8924302788844622,-1.8725099601593624,-1.8525896414342629,-1.8326693227091633,-1.8127490039840637,-1.792828685258964,-1.7729083665338645,-1.752988047808765,-1.7330677290836654,-1.7131474103585658,-1.6932270916334662,-1.6733067729083666,-1.653386454183267,-1.6334661354581674,-1.6135458167330676,-1.593625498007968,-1.5737051792828685,-1.5537848605577689,-1.5338645418326693,-1.5139442231075697,-1.4940239043824701,-1.4741035856573705,-1.454183266932271,-1.4342629482071714,-1.4143426294820718,-1.3944223107569722,-1.3745019920318724,-1.3545816733067728,-1.3346613545816732,-1.3147410358565736,-1.294820717131474,-1.2749003984063745,-1.254980079681275,-1.2350597609561753,-1.2151394422310757,-1.1952191235059761,-1.1752988047808766,-1.155378486055777,-1.1354581673306774,-1.1155378486055776,-1.095617529880478,-1.0756972111553784,-1.0557768924302788,-1.0358565737051793,-1.0159362549800797,-0.9960159362549801,-0.9760956175298805,-0.9561752988047809,-0.9362549800796812,-0.9163346613545816,-0.896414342629482,-0.8764940239043825,-0.8565737051792829,-0.8366533864541833,-0.8167330677290837,-0.796812749003984,-0.7768924302788844,-0.7569721115537849,-0.7370517928286853,-0.7171314741035857,-0.6972111553784861,-0.6772908366533864,-0.6573705179282868,-0.6374501992031872,-0.6175298804780877,-0.5976095617529881,-0.5776892430278885,-0.5577689243027888,-0.5378486055776892,-0.5179282868525896,-0.49800796812749004,-0.47808764940239046,-0.4581673306772908,-0.43824701195219123,-0.41832669322709165,-0.398406374501992,-0.3784860557768924,-0.35856573705179284,-0.3386454183266932,-0.3187250996015936,-0.29880478087649404,-0.2788844621513944,-0.2589641434262948,-0.23904382470119523,-0.21912350597609562,-0.199203187250996,-0.17928286852589642,-0.1593625498007968,-0.1394422310756972,-0.11952191235059761,-0.099601593625498,-0.0796812749003984,-0.05976095617529881,-0.0398406374501992,-0.0199203187250996,0.0]} diff --git a/lib/node_modules/@stdlib/ml/base/loss/float64/epsilon-insensitive-gradient/test/fixtures/julia/small_positive.json b/lib/node_modules/@stdlib/ml/base/loss/float64/epsilon-insensitive-gradient/test/fixtures/julia/small_positive.json new file mode 100644 index 000000000000..7ebdb67a487b --- /dev/null +++ b/lib/node_modules/@stdlib/ml/base/loss/float64/epsilon-insensitive-gradient/test/fixtures/julia/small_positive.json @@ -0,0 +1 @@ +{"e":[0.0,0.0099601593625498,0.0199203187250996,0.029880478087649404,0.0398406374501992,0.049800796812749,0.05976095617529881,0.0697211155378486,0.0796812749003984,0.08964143426294821,0.099601593625498,0.10956175298804781,0.11952191235059761,0.1294820717131474,0.1394422310756972,0.14940239043824702,0.1593625498007968,0.1693227091633466,0.17928286852589642,0.1892430278884462,0.199203187250996,0.20916334661354583,0.21912350597609562,0.2290836653386454,0.23904382470119523,0.24900398406374502,0.2589641434262948,0.2689243027888446,0.2788844621513944,0.28884462151394424,0.29880478087649404,0.30876494023904383,0.3187250996015936,0.3286852589641434,0.3386454183266932,0.34860557768924305,0.35856573705179284,0.36852589641434264,0.3784860557768924,0.3884462151394422,0.398406374501992,0.40836653386454186,0.41832669322709165,0.42828685258964144,0.43824701195219123,0.448207171314741,0.4581673306772908,0.4681274900398406,0.47808764940239046,0.48804780876494025,0.49800796812749004,0.5079681274900398,0.5179282868525896,0.5278884462151394,0.5378486055776892,0.547808764940239,0.5577689243027888,0.5677290836653387,0.5776892430278885,0.5876494023904383,0.5976095617529881,0.6075697211155379,0.6175298804780877,0.6274900398406374,0.6374501992031872,0.647410358565737,0.6573705179282868,0.6673306772908366,0.6772908366533864,0.6872509960159362,0.6972111553784861,0.7071713147410359,0.7171314741035857,0.7270916334661355,0.7370517928286853,0.7470119521912351,0.7569721115537849,0.7669322709163346,0.7768924302788844,0.7868525896414342,0.796812749003984,0.8067729083665338,0.8167330677290837,0.8266932270916335,0.8366533864541833,0.8466135458167331,0.8565737051792829,0.8665338645418327,0.8764940239043825,0.8864541832669323,0.896414342629482,0.9063745019920318,0.9163346613545816,0.9262948207171314,0.9362549800796812,0.9462151394422311,0.9561752988047809,0.9661354581673307,0.9760956175298805,0.9860557768924303,0.9960159362549801,1.0059760956175299,1.0159362549800797,1.0258964143426295,1.0358565737051793,1.045816733067729,1.0557768924302788,1.0657370517928286,1.0756972111553784,1.0856573705179282,1.095617529880478,1.1055776892430278,1.1155378486055776,1.1254980079681276,1.1354581673306774,1.1454183266932272,1.155378486055777,1.1653386454183268,1.1752988047808766,1.1852589641434264,1.1952191235059761,1.205179282868526,1.2151394422310757,1.2250996015936255,1.2350597609561753,1.245019920318725,1.254980079681275,1.2649402390438247,1.2749003984063745,1.2848605577689243,1.294820717131474,1.3047808764940239,1.3147410358565736,1.3247011952191234,1.3346613545816732,1.344621513944223,1.3545816733067728,1.3645418326693226,1.3745019920318724,1.3844621513944224,1.3944223107569722,1.404382470119522,1.4143426294820718,1.4243027888446216,1.4342629482071714,1.4442231075697212,1.454183266932271,1.4641434262948207,1.4741035856573705,1.4840637450199203,1.4940239043824701,1.50398406374502,1.5139442231075697,1.5239043824701195,1.5338645418326693,1.543824701195219,1.5537848605577689,1.5637450199203187,1.5737051792828685,1.5836653386454183,1.593625498007968,1.6035856573705178,1.6135458167330676,1.6235059760956174,1.6334661354581674,1.6434262948207172,1.653386454183267,1.6633466135458168,1.6733067729083666,1.6832669322709164,1.6932270916334662,1.703187250996016,1.7131474103585658,1.7231075697211156,1.7330677290836654,1.7430278884462151,1.752988047808765,1.7629482071713147,1.7729083665338645,1.7828685258964143,1.792828685258964,1.802788844621514,1.8127490039840637,1.8227091633466135,1.8326693227091633,1.842629482071713,1.8525896414342629,1.8625498007968126,1.8725099601593624,1.8824701195219125,1.8924302788844622,1.902390438247012,1.9123505976095618,1.9223107569721116,1.9322709163346614,1.9422310756972112,1.952191235059761,1.9621513944223108,1.9721115537848606,1.9820717131474104,1.9920318725099602,2.00199203187251,2.0119521912350598,2.0219123505976095,2.0318725099601593,2.041832669322709,2.051792828685259,2.0617529880478087,2.0717131474103585,2.0816733067729083,2.091633466135458,2.101593625498008,2.1115537848605577,2.1215139442231075,2.1314741035856573,2.141434262948207,2.151394422310757,2.1613545816733066,2.1713147410358564,2.181274900398406,2.191235059760956,2.201195219123506,2.2111553784860556,2.2211155378486054,2.231075697211155,2.241035856573705,2.250996015936255,2.260956175298805,2.270916334661355,2.2808764940239046,2.2908366533864544,2.300796812749004,2.310756972111554,2.3207171314741037,2.3306772908366535,2.3406374501992033,2.350597609561753,2.360557768924303,2.3705179282868527,2.3804780876494025,2.3904382470119523,2.400398406374502,2.410358565737052,2.4203187250996017,2.4302788844621515,2.4402390438247012,2.450199203187251,2.460159362549801,2.4701195219123506,2.4800796812749004,2.49003984063745,2.5,2.50996015936255,2.5199203187250996,2.5298804780876494,2.539840637450199,2.549800796812749,2.5597609561752988,2.5697211155378485,2.5796812749003983,2.589641434262948,2.599601593625498,2.6095617529880477,2.6195219123505975,2.6294820717131473,2.639442231075697,2.649402390438247,2.6593625498007967,2.6693227091633465,2.6792828685258963,2.689243027888446,2.699203187250996,2.7091633466135456,2.7191235059760954,2.729083665338645,2.739043824701195,2.749003984063745,2.758964143426295,2.768924302788845,2.7788844621513946,2.7888446215139444,2.798804780876494,2.808764940239044,2.818725099601594,2.8286852589641436,2.8386454183266934,2.848605577689243,2.858565737051793,2.8685258964143427,2.8784860557768925,2.8884462151394423,2.898406374501992,2.908366533864542,2.9183266932270917,2.9282868525896415,2.9382470119521913,2.948207171314741,2.958167330677291,2.9681274900398407,2.9780876494023905,2.9880478087649402,2.99800796812749,3.00796812749004,3.0179282868525896,3.0278884462151394,3.037848605577689,3.047808764940239,3.057768924302789,3.0677290836653386,3.0776892430278884,3.087649402390438,3.097609561752988,3.1075697211155378,3.1175298804780875,3.1274900398406373,3.137450199203187,3.147410358565737,3.1573705179282867,3.1673306772908365,3.1772908366533863,3.187250996015936,3.197211155378486,3.2071713147410357,3.2171314741035855,3.2270916334661353,3.237051792828685,3.247011952191235,3.256972111553785,3.266932270916335,3.2768924302788847,3.2868525896414345,3.2968127490039842,3.306772908366534,3.316733067729084,3.3266932270916336,3.3366533864541834,3.346613545816733,3.356573705179283,3.366533864541833,3.3764940239043826,3.3864541832669324,3.396414342629482,3.406374501992032,3.4163346613545817,3.4262948207171315,3.4362549800796813,3.446215139442231,3.456175298804781,3.4661354581673307,3.4760956175298805,3.4860557768924303,3.49601593625498,3.50597609561753,3.5159362549800797,3.5258964143426295,3.5358565737051793,3.545816733067729,3.555776892430279,3.5657370517928286,3.5756972111553784,3.585657370517928,3.595617529880478,3.605577689243028,3.6155378486055776,3.6254980079681274,3.635458167330677,3.645418326693227,3.6553784860557768,3.6653386454183265,3.6752988047808763,3.685258964143426,3.695219123505976,3.7051792828685257,3.7151394422310755,3.7250996015936253,3.735059760956175,3.745019920318725,3.754980079681275,3.764940239043825,3.7749003984063747,3.7848605577689245,3.7948207171314743,3.804780876494024,3.814741035856574,3.8247011952191237,3.8346613545816735,3.8446215139442232,3.854581673306773,3.864541832669323,3.8745019920318726,3.8844621513944224,3.894422310756972,3.904382470119522,3.914342629482072,3.9243027888446216,3.9342629482071714,3.944223107569721,3.954183266932271,3.9641434262948207,3.9741035856573705,3.9840637450199203,3.99402390438247,4.00398406374502,4.01394422310757,4.0239043824701195,4.03386454183267,4.043824701195219,4.053784860557769,4.063745019920319,4.073705179282869,4.083665338645418,4.0936254980079685,4.103585657370518,4.113545816733068,4.123505976095617,4.133466135458168,4.143426294820717,4.153386454183267,4.163346613545817,4.173306772908367,4.183266932270916,4.193227091633466,4.203187250996016,4.213147410358566,4.223107569721115,4.233067729083666,4.243027888446215,4.252988047808765,4.2629482071713145,4.272908366533865,4.282868525896414,4.292828685258964,4.302788844621514,4.312749003984064,4.322709163346613,4.3326693227091635,4.342629482071713,4.352589641434263,4.362549800796812,4.372509960159363,4.382470119521912,4.392430278884462,4.402390438247012,4.412350597609562,4.422310756972111,4.432270916334661,4.442231075697211,4.452191235059761,4.46215139442231,4.472111553784861,4.48207171314741,4.49203187250996,4.50199203187251,4.51195219123506,4.52191235059761,4.531872509960159,4.54183266932271,4.551792828685259,4.561752988047809,4.5717131474103585,4.581673306772909,4.591633466135458,4.601593625498008,4.611553784860558,4.621513944223108,4.631474103585657,4.6414342629482075,4.651394422310757,4.661354581673307,4.671314741035856,4.681274900398407,4.691235059760956,4.701195219123506,4.711155378486056,4.721115537848606,4.731075697211155,4.741035856573705,4.750996015936255,4.760956175298805,4.770916334661354,4.780876494023905,4.790836653386454,4.800796812749004,4.8107569721115535,4.820717131474104,4.830677290836653,4.840637450199203,4.850597609561753,4.860557768924303,4.870517928286852,4.8804780876494025,4.890438247011952,4.900398406374502,4.910358565737051,4.920318725099602,4.930278884462151,4.940239043824701,4.950199203187251,4.960159362549801,4.97011952191235,4.9800796812749,4.99003984063745,5.0],"expected":[0.0,0.099601593625498,0.199203187250996,0.29880478087649404,0.398406374501992,0.49800796812749004,0.5976095617529881,0.6972111553784861,0.796812749003984,0.896414342629482,0.9960159362549801,1.095617529880478,1.1952191235059761,1.294820717131474,1.3944223107569722,1.4940239043824701,1.593625498007968,1.6932270916334662,1.792828685258964,1.8924302788844622,1.9920318725099602,2.091633466135458,2.191235059760956,2.2908366533864544,2.3904382470119523,2.49003984063745,2.589641434262948,2.689243027888446,2.7888446215139444,2.8884462151394423,2.9880478087649402,3.087649402390438,3.187250996015936,3.2868525896414345,3.3864541832669324,3.4860557768924303,3.585657370517928,3.685258964143426,3.7848605577689245,3.8844621513944224,3.9840637450199203,4.083665338645418,4.183266932270916,4.282868525896414,4.382470119521912,4.48207171314741,4.581673306772909,4.681274900398407,4.780876494023905,4.8804780876494025,4.9800796812749,5.079681274900398,5.179282868525896,5.278884462151394,5.378486055776892,5.47808764940239,5.577689243027889,5.677290836653387,5.776892430278885,5.876494023904383,5.9760956175298805,6.075697211155378,6.175298804780876,6.274900398406374,6.374501992031872,6.47410358565737,6.573705179282869,6.673306772908367,6.772908366533865,6.872509960159363,6.972111553784861,7.0717131474103585,7.171314741035856,7.270916334661354,7.370517928286852,7.47011952191235,7.569721115537849,7.669322709163347,7.768924302788845,7.868525896414343,7.968127490039841,8.06772908366534,8.167330677290837,8.266932270916335,8.366533864541832,8.466135458167331,8.565737051792828,8.665338645418327,8.764940239043824,8.864541832669323,8.96414342629482,9.063745019920319,9.163346613545817,9.262948207171315,9.362549800796813,9.46215139442231,9.56175298804781,9.661354581673306,9.760956175298805,9.860557768924302,9.9601593625498,10.0597609561753,10.159362549800797,10.258964143426295,10.358565737051793,10.458167330677291,10.557768924302788,10.657370517928287,10.756972111553784,10.856573705179283,10.95617529880478,11.055776892430279,11.155378486055778,11.254980079681275,11.354581673306773,11.45418326693227,11.55378486055777,11.653386454183266,11.752988047808765,11.852589641434262,11.952191235059761,12.05179282868526,12.151394422310757,12.250996015936256,12.350597609561753,12.450199203187251,12.549800796812749,12.649402390438247,12.749003984063744,12.848605577689243,12.94820717131474,13.047808764940239,13.147410358565738,13.247011952191235,13.346613545816734,13.44621513944223,13.54581673306773,13.645418326693227,13.745019920318725,13.844621513944222,13.944223107569721,14.04382470119522,14.143426294820717,14.243027888446216,14.342629482071713,14.442231075697212,14.541832669322709,14.641434262948207,14.741035856573705,14.840637450199203,14.9402390438247,15.0398406374502,15.139442231075698,15.239043824701195,15.338645418326694,15.43824701195219,15.53784860557769,15.637450199203187,15.737051792828685,15.836653386454183,15.936254980079681,16.03585657370518,16.13545816733068,16.235059760956176,16.334661354581673,16.43426294820717,16.53386454183267,16.633466135458168,16.733067729083665,16.83266932270916,16.932270916334662,17.03187250996016,17.131474103585656,17.231075697211157,17.330677290836654,17.43027888446215,17.529880478087648,17.62948207171315,17.729083665338646,17.828685258964143,17.92828685258964,18.02788844621514,18.127490039840637,18.227091633466134,18.326693227091635,18.426294820717132,18.52589641434263,18.625498007968126,18.725099601593627,18.824701195219124,18.92430278884462,19.02390438247012,19.12350597609562,19.223107569721115,19.322709163346612,19.422310756972113,19.52191235059761,19.621513944223107,19.721115537848604,19.820717131474105,19.9203187250996,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,-33.366533864541836,-33.46613545816733,-33.56573705179283,-33.66533864541832,-33.764940239043824,-33.864541832669325,-33.96414342629482,-34.06374501992032,-34.16334661354582,-34.26294820717131,-34.36254980079681,-34.462151394422314,-34.56175298804781,-34.66135458167331,-34.7609561752988,-34.8605577689243,-34.9601593625498,-35.059760956175296,-35.1593625498008,-35.2589641434263,-35.35856573705179,-35.45816733067729,-35.55776892430279,-35.657370517928285,-35.756972111553786,-35.85657370517928,-35.95617529880478,-36.05577689243028,-36.155378486055774,-36.254980079681275,-36.354581673306775,-36.45418326693227,-36.55378486055777,-36.65338645418327,-36.75298804780876,-36.852589641434264,-36.95219123505976,-37.05179282868526,-37.15139442231076,-37.25099601593625,-37.35059760956175,-37.45019920318725,-37.54980079681275,-37.64940239043825,-37.74900398406375,-37.84860557768924,-37.94820717131474,-38.04780876494024,-38.147410358565736,-38.24701195219124,-38.34661354581673,-38.44621513944223,-38.54581673306773,-38.645418326693225,-38.745019920318725,-38.844621513944226,-38.94422310756972,-39.04382470119522,-39.14342629482072,-39.243027888446214,-39.342629482071715,-39.44223107569721,-39.54183266932271,-39.64143426294821,-39.7410358565737,-39.8406374501992,-39.940239043824704,-40.0398406374502,-40.1394422310757,-40.2390438247012,-40.33864541832669,-40.43824701195219,-40.537848605577686,-40.63745019920319,-40.73705179282869,-40.83665338645418,-40.93625498007968,-41.03585657370518,-41.135458167330675,-41.235059760956176,-41.33466135458168,-41.43426294820717,-41.53386454183267,-41.633466135458164,-41.733067729083665,-41.832669322709165,-41.93227091633466,-42.03187250996016,-42.13147410358566,-42.23107569721115,-42.330677290836654,-42.430278884462155,-42.52988047808765,-42.62948207171315,-42.72908366533864,-42.82868525896414,-42.92828685258964,-43.02788844621514,-43.12749003984064,-43.22709163346614,-43.32669322709163,-43.42629482071713,-43.52589641434263,-43.625498007968126,-43.72509960159363,-43.82470119521912,-43.92430278884462,-44.02390438247012,-44.123505976095615,-44.223107569721115,-44.322709163346616,-44.42231075697211,-44.52191235059761,-44.62151394422311,-44.721115537848604,-44.820717131474105,-44.9203187250996,-45.0199203187251,-45.1195219123506,-45.21912350597609,-45.31872509960159,-45.418326693227094,-45.51792828685259,-45.61752988047809,-45.71713147410359,-45.81673306772908,-45.91633466135458,-46.01593625498008,-46.11553784860558,-46.21513944223108,-46.31474103585657,-46.41434262948207,-46.51394422310757,-46.613545816733065,-46.713147410358566,-46.81274900398407,-46.91235059760956,-47.01195219123506,-47.11155378486056,-47.211155378486055,-47.310756972111555,-47.41035856573705,-47.50996015936255,-47.60956175298805,-47.70916334661354,-47.808764940239044,-47.908366533864545,-48.00796812749004,-48.10756972111554,-48.20717131474104,-48.30677290836653,-48.40637450199203,-48.50597609561753,-48.60557768924303,-48.70517928286853,-48.80478087649402,-48.90438247011952,-49.00398406374502,-49.103585657370516,-49.20318725099602,-49.30278884462152,-49.40239043824701,-49.50199203187251,-49.601593625498005,-49.701195219123505,-49.800796812749006,-49.9003984063745,-50.0],"p":[10.0,9.9800796812749,9.9601593625498,9.9402390438247,9.920318725099602,9.900398406374501,9.880478087649402,9.860557768924302,9.840637450199203,9.820717131474103,9.800796812749004,9.780876494023904,9.760956175298805,9.741035856573705,9.721115537848606,9.701195219123505,9.681274900398407,9.661354581673306,9.641434262948207,9.621513944223107,9.601593625498008,9.581673306772908,9.56175298804781,9.541832669322709,9.52191235059761,9.50199203187251,9.48207171314741,9.46215139442231,9.442231075697212,9.422310756972111,9.402390438247012,9.382470119521912,9.362549800796813,9.342629482071713,9.322709163346614,9.302788844621514,9.282868525896415,9.262948207171315,9.243027888446216,9.223107569721115,9.203187250996017,9.183266932270916,9.163346613545817,9.143426294820717,9.123505976095618,9.103585657370518,9.08366533864542,9.063745019920319,9.04382470119522,9.02390438247012,9.00398406374502,8.98406374501992,8.96414342629482,8.944223107569721,8.92430278884462,8.904382470119522,8.884462151394422,8.864541832669323,8.844621513944222,8.824701195219124,8.804780876494023,8.784860557768924,8.764940239043824,8.745019920318725,8.725099601593625,8.705179282868526,8.685258964143426,8.665338645418327,8.645418326693227,8.625498007968128,8.605577689243027,8.585657370517929,8.565737051792828,8.54581673306773,8.525896414342629,8.50597609561753,8.48605577689243,8.466135458167331,8.44621513944223,8.426294820717132,8.406374501992032,8.386454183266933,8.366533864541832,8.346613545816734,8.326693227091633,8.306772908366534,8.286852589641434,8.266932270916335,8.247011952191235,8.227091633466136,8.207171314741036,8.187250996015937,8.167330677290837,8.147410358565738,8.127490039840637,8.107569721115539,8.087649402390438,8.06772908366534,8.047808764940239,8.02788844621514,8.00796812749004,7.98804780876494,7.968127490039841,7.948207171314741,7.9282868525896415,7.908366533864542,7.888446215139442,7.868525896414343,7.848605577689243,7.828685258964144,7.808764940239044,7.788844621513944,7.768924302788845,7.749003984063745,7.729083665338646,7.709163346613546,7.6892430278884465,7.669322709163347,7.649402390438247,7.629482071713148,7.609561752988048,7.589641434262949,7.569721115537849,7.549800796812749,7.52988047808765,7.50996015936255,7.49003984063745,7.47011952191235,7.450199203187251,7.430278884462151,7.410358565737051,7.390438247011952,7.370517928286852,7.350597609561753,7.330677290836653,7.3107569721115535,7.290836653386454,7.270916334661354,7.250996015936255,7.231075697211155,7.211155378486056,7.191235059760956,7.171314741035856,7.151394422310757,7.131474103585657,7.111553784860558,7.091633466135458,7.0717131474103585,7.051792828685259,7.031872509960159,7.01195219123506,6.99203187250996,6.972111553784861,6.952191235059761,6.932270916334661,6.912350597609562,6.892430278884462,6.872509960159363,6.852589641434263,6.8326693227091635,6.812749003984064,6.792828685258964,6.772908366533865,6.752988047808765,6.733067729083666,6.713147410358566,6.693227091633466,6.673306772908367,6.653386454183267,6.633466135458168,6.613545816733068,6.5936254980079685,6.573705179282869,6.553784860557769,6.53386454183267,6.51394422310757,6.49402390438247,6.47410358565737,6.4541832669322705,6.434262948207171,6.414342629482071,6.394422310756972,6.374501992031872,6.354581673306773,6.334661354581673,6.314741035856573,6.294820717131474,6.274900398406374,6.254980079681275,6.235059760956175,6.2151394422310755,6.195219123505976,6.175298804780876,6.155378486055777,6.135458167330677,6.115537848605578,6.095617529880478,6.075697211155378,6.055776892430279,6.035856573705179,6.01593625498008,5.99601593625498,5.9760956175298805,5.956175298804781,5.936254980079681,5.916334661354582,5.896414342629482,5.876494023904383,5.856573705179283,5.836653386454183,5.816733067729084,5.796812749003984,5.776892430278885,5.756972111553785,5.7370517928286855,5.717131474103586,5.697211155378486,5.677290836653387,5.657370517928287,5.637450199203188,5.617529880478088,5.597609561752988,5.577689243027889,5.557768924302789,5.53784860557769,5.51792828685259,5.49800796812749,5.47808764940239,5.45816733067729,5.438247011952191,5.418326693227091,5.398406374501992,5.378486055776892,5.3585657370517925,5.338645418326693,5.318725099601593,5.298804780876494,5.278884462151394,5.258964143426295,5.239043824701195,5.219123505976095,5.199203187250996,5.179282868525896,5.159362549800797,5.139442231075697,5.1195219123505975,5.099601593625498,5.079681274900398,5.059760956175299,5.039840637450199,5.0199203187251,5.0,4.9800796812749,4.960159362549801,4.940239043824701,4.920318725099602,4.900398406374502,4.8804780876494025,4.860557768924303,4.840637450199203,4.820717131474104,4.800796812749004,4.780876494023905,4.760956175298805,4.741035856573705,4.721115537848606,4.701195219123506,4.681274900398407,4.661354581673307,4.6414342629482075,4.621513944223108,4.601593625498008,4.581673306772909,4.561752988047809,4.54183266932271,4.52191235059761,4.50199203187251,4.48207171314741,4.46215139442231,4.442231075697211,4.422310756972111,4.402390438247012,4.382470119521912,4.362549800796812,4.342629482071713,4.322709163346613,4.302788844621514,4.282868525896414,4.2629482071713145,4.243027888446215,4.223107569721115,4.203187250996016,4.183266932270916,4.163346613545817,4.143426294820717,4.123505976095617,4.103585657370518,4.083665338645418,4.063745019920319,4.043824701195219,4.0239043824701195,4.00398406374502,3.9840637450199203,3.9641434262948207,3.944223107569721,3.9243027888446216,3.904382470119522,3.8844621513944224,3.864541832669323,3.8446215139442232,3.8247011952191237,3.804780876494024,3.7848605577689245,3.764940239043825,3.745019920318725,3.7250996015936253,3.7051792828685257,3.685258964143426,3.6653386454183265,3.645418326693227,3.6254980079681274,3.605577689243028,3.585657370517928,3.5657370517928286,3.545816733067729,3.5258964143426295,3.50597609561753,3.4860557768924303,3.4661354581673307,3.446215139442231,3.4262948207171315,3.406374501992032,3.3864541832669324,3.366533864541833,3.346613545816733,3.3266932270916336,3.306772908366534,3.2868525896414345,3.266932270916335,3.247011952191235,3.2270916334661353,3.2071713147410357,3.187250996015936,3.1673306772908365,3.147410358565737,3.1274900398406373,3.1075697211155378,3.087649402390438,3.0677290836653386,3.047808764940239,3.0278884462151394,3.00796812749004,2.9880478087649402,2.9681274900398407,2.948207171314741,2.9282868525896415,2.908366533864542,2.8884462151394423,2.8685258964143427,2.848605577689243,2.8286852589641436,2.808764940239044,2.7888446215139444,2.768924302788845,2.749003984063745,2.729083665338645,2.7091633466135456,2.689243027888446,2.6693227091633465,2.649402390438247,2.6294820717131473,2.6095617529880477,2.589641434262948,2.5697211155378485,2.549800796812749,2.5298804780876494,2.50996015936255,2.49003984063745,2.4701195219123506,2.450199203187251,2.4302788844621515,2.410358565737052,2.3904382470119523,2.3705179282868527,2.350597609561753,2.3306772908366535,2.310756972111554,2.2908366533864544,2.270916334661355,2.250996015936255,2.231075697211155,2.2111553784860556,2.191235059760956,2.1713147410358564,2.151394422310757,2.1314741035856573,2.1115537848605577,2.091633466135458,2.0717131474103585,2.051792828685259,2.0318725099601593,2.0119521912350598,1.9920318725099602,1.9721115537848606,1.952191235059761,1.9322709163346614,1.9123505976095618,1.8924302788844622,1.8725099601593624,1.8525896414342629,1.8326693227091633,1.8127490039840637,1.792828685258964,1.7729083665338645,1.752988047808765,1.7330677290836654,1.7131474103585658,1.6932270916334662,1.6733067729083666,1.653386454183267,1.6334661354581674,1.6135458167330676,1.593625498007968,1.5737051792828685,1.5537848605577689,1.5338645418326693,1.5139442231075697,1.4940239043824701,1.4741035856573705,1.454183266932271,1.4342629482071714,1.4143426294820718,1.3944223107569722,1.3745019920318724,1.3545816733067728,1.3346613545816732,1.3147410358565736,1.294820717131474,1.2749003984063745,1.254980079681275,1.2350597609561753,1.2151394422310757,1.1952191235059761,1.1752988047808766,1.155378486055777,1.1354581673306774,1.1155378486055776,1.095617529880478,1.0756972111553784,1.0557768924302788,1.0358565737051793,1.0159362549800797,0.9960159362549801,0.9760956175298805,0.9561752988047809,0.9362549800796812,0.9163346613545816,0.896414342629482,0.8764940239043825,0.8565737051792829,0.8366533864541833,0.8167330677290837,0.796812749003984,0.7768924302788844,0.7569721115537849,0.7370517928286853,0.7171314741035857,0.6972111553784861,0.6772908366533864,0.6573705179282868,0.6374501992031872,0.6175298804780877,0.5976095617529881,0.5776892430278885,0.5577689243027888,0.5378486055776892,0.5179282868525896,0.49800796812749004,0.47808764940239046,0.4581673306772908,0.43824701195219123,0.41832669322709165,0.398406374501992,0.3784860557768924,0.35856573705179284,0.3386454183266932,0.3187250996015936,0.29880478087649404,0.2788844621513944,0.2589641434262948,0.23904382470119523,0.21912350597609562,0.199203187250996,0.17928286852589642,0.1593625498007968,0.1394422310756972,0.11952191235059761,0.099601593625498,0.0796812749003984,0.05976095617529881,0.0398406374501992,0.0199203187250996,0.0],"x":[0.0,0.099601593625498,0.199203187250996,0.29880478087649404,0.398406374501992,0.49800796812749004,0.5976095617529881,0.6972111553784861,0.796812749003984,0.896414342629482,0.9960159362549801,1.095617529880478,1.1952191235059761,1.294820717131474,1.3944223107569722,1.4940239043824701,1.593625498007968,1.6932270916334662,1.792828685258964,1.8924302788844622,1.9920318725099602,2.091633466135458,2.191235059760956,2.2908366533864544,2.3904382470119523,2.49003984063745,2.589641434262948,2.689243027888446,2.7888446215139444,2.8884462151394423,2.9880478087649402,3.087649402390438,3.187250996015936,3.2868525896414345,3.3864541832669324,3.4860557768924303,3.585657370517928,3.685258964143426,3.7848605577689245,3.8844621513944224,3.9840637450199203,4.083665338645418,4.183266932270916,4.282868525896414,4.382470119521912,4.48207171314741,4.581673306772909,4.681274900398407,4.780876494023905,4.8804780876494025,4.9800796812749,5.079681274900398,5.179282868525896,5.278884462151394,5.378486055776892,5.47808764940239,5.577689243027889,5.677290836653387,5.776892430278885,5.876494023904383,5.9760956175298805,6.075697211155378,6.175298804780876,6.274900398406374,6.374501992031872,6.47410358565737,6.573705179282869,6.673306772908367,6.772908366533865,6.872509960159363,6.972111553784861,7.0717131474103585,7.171314741035856,7.270916334661354,7.370517928286852,7.47011952191235,7.569721115537849,7.669322709163347,7.768924302788845,7.868525896414343,7.968127490039841,8.06772908366534,8.167330677290837,8.266932270916335,8.366533864541832,8.466135458167331,8.565737051792828,8.665338645418327,8.764940239043824,8.864541832669323,8.96414342629482,9.063745019920319,9.163346613545817,9.262948207171315,9.362549800796813,9.46215139442231,9.56175298804781,9.661354581673306,9.760956175298805,9.860557768924302,9.9601593625498,10.0597609561753,10.159362549800797,10.258964143426295,10.358565737051793,10.458167330677291,10.557768924302788,10.657370517928287,10.756972111553784,10.856573705179283,10.95617529880478,11.055776892430279,11.155378486055778,11.254980079681275,11.354581673306773,11.45418326693227,11.55378486055777,11.653386454183266,11.752988047808765,11.852589641434262,11.952191235059761,12.05179282868526,12.151394422310757,12.250996015936256,12.350597609561753,12.450199203187251,12.549800796812749,12.649402390438247,12.749003984063744,12.848605577689243,12.94820717131474,13.047808764940239,13.147410358565738,13.247011952191235,13.346613545816734,13.44621513944223,13.54581673306773,13.645418326693227,13.745019920318725,13.844621513944222,13.944223107569721,14.04382470119522,14.143426294820717,14.243027888446216,14.342629482071713,14.442231075697212,14.541832669322709,14.641434262948207,14.741035856573705,14.840637450199203,14.9402390438247,15.0398406374502,15.139442231075698,15.239043824701195,15.338645418326694,15.43824701195219,15.53784860557769,15.637450199203187,15.737051792828685,15.836653386454183,15.936254980079681,16.03585657370518,16.13545816733068,16.235059760956176,16.334661354581673,16.43426294820717,16.53386454183267,16.633466135458168,16.733067729083665,16.83266932270916,16.932270916334662,17.03187250996016,17.131474103585656,17.231075697211157,17.330677290836654,17.43027888446215,17.529880478087648,17.62948207171315,17.729083665338646,17.828685258964143,17.92828685258964,18.02788844621514,18.127490039840637,18.227091633466134,18.326693227091635,18.426294820717132,18.52589641434263,18.625498007968126,18.725099601593627,18.824701195219124,18.92430278884462,19.02390438247012,19.12350597609562,19.223107569721115,19.322709163346612,19.422310756972113,19.52191235059761,19.621513944223107,19.721115537848604,19.820717131474105,19.9203187250996,20.0199203187251,20.1195219123506,20.219123505976096,20.318725099601593,20.41832669322709,20.51792828685259,20.617529880478088,20.717131474103585,20.816733067729082,20.916334661354583,21.01593625498008,21.115537848605577,21.215139442231077,21.314741035856574,21.41434262948207,21.51394422310757,21.61354581673307,21.713147410358566,21.812749003984063,21.91235059760956,22.01195219123506,22.111553784860558,22.211155378486055,22.310756972111555,22.410358565737052,22.50996015936255,22.609561752988046,22.709163346613547,22.808764940239044,22.90836653386454,23.00796812749004,23.10756972111554,23.207171314741036,23.306772908366533,23.406374501992033,23.50597609561753,23.605577689243027,23.705179282868524,23.804780876494025,23.904382470119522,24.00398406374502,24.10358565737052,24.203187250996017,24.302788844621514,24.40239043824701,24.50199203187251,24.60159362549801,24.701195219123505,24.800796812749002,24.900398406374503,25.0,25.099601593625497,25.199203187250998,25.298804780876495,25.39840637450199,25.49800796812749,25.59760956175299,25.697211155378486,25.796812749003983,25.89641434262948,25.99601593625498,26.095617529880478,26.195219123505975,26.294820717131476,26.394422310756973,26.49402390438247,26.593625498007967,26.693227091633467,26.792828685258964,26.89243027888446,26.99203187250996,27.09163346613546,27.191235059760956,27.290836653386453,27.390438247011954,27.49003984063745,27.589641434262948,27.689243027888445,27.788844621513945,27.888446215139442,27.98804780876494,28.08764940239044,28.187250996015937,28.286852589641434,28.38645418326693,28.48605577689243,28.58565737051793,28.685258964143426,28.784860557768923,28.884462151394423,28.98406374501992,29.083665338645417,29.183266932270918,29.282868525896415,29.382470119521912,29.48207171314741,29.58167330677291,29.681274900398407,29.780876494023904,29.8804780876494,29.9800796812749,30.0796812749004,30.179282868525895,30.278884462151396,30.378486055776893,30.47808764940239,30.577689243027887,30.677290836653388,30.776892430278885,30.87649402390438,30.97609561752988,31.07569721115538,31.175298804780876,31.274900398406373,31.374501992031874,31.47410358565737,31.573705179282868,31.673306772908365,31.772908366533866,31.872509960159363,31.97211155378486,32.07171314741036,32.17131474103586,32.27091633466136,32.37051792828685,32.47011952191235,32.569721115537845,32.669322709163346,32.76892430278885,32.86852589641434,32.96812749003984,33.06772908366534,33.167330677290835,33.266932270916335,33.366533864541836,33.46613545816733,33.56573705179283,33.66533864541832,33.764940239043824,33.864541832669325,33.96414342629482,34.06374501992032,34.16334661354582,34.26294820717131,34.36254980079681,34.462151394422314,34.56175298804781,34.66135458167331,34.7609561752988,34.8605577689243,34.9601593625498,35.059760956175296,35.1593625498008,35.2589641434263,35.35856573705179,35.45816733067729,35.55776892430279,35.657370517928285,35.756972111553786,35.85657370517928,35.95617529880478,36.05577689243028,36.155378486055774,36.254980079681275,36.354581673306775,36.45418326693227,36.55378486055777,36.65338645418327,36.75298804780876,36.852589641434264,36.95219123505976,37.05179282868526,37.15139442231076,37.25099601593625,37.35059760956175,37.45019920318725,37.54980079681275,37.64940239043825,37.74900398406375,37.84860557768924,37.94820717131474,38.04780876494024,38.147410358565736,38.24701195219124,38.34661354581673,38.44621513944223,38.54581673306773,38.645418326693225,38.745019920318725,38.844621513944226,38.94422310756972,39.04382470119522,39.14342629482072,39.243027888446214,39.342629482071715,39.44223107569721,39.54183266932271,39.64143426294821,39.7410358565737,39.8406374501992,39.940239043824704,40.0398406374502,40.1394422310757,40.2390438247012,40.33864541832669,40.43824701195219,40.537848605577686,40.63745019920319,40.73705179282869,40.83665338645418,40.93625498007968,41.03585657370518,41.135458167330675,41.235059760956176,41.33466135458168,41.43426294820717,41.53386454183267,41.633466135458164,41.733067729083665,41.832669322709165,41.93227091633466,42.03187250996016,42.13147410358566,42.23107569721115,42.330677290836654,42.430278884462155,42.52988047808765,42.62948207171315,42.72908366533864,42.82868525896414,42.92828685258964,43.02788844621514,43.12749003984064,43.22709163346614,43.32669322709163,43.42629482071713,43.52589641434263,43.625498007968126,43.72509960159363,43.82470119521912,43.92430278884462,44.02390438247012,44.123505976095615,44.223107569721115,44.322709163346616,44.42231075697211,44.52191235059761,44.62151394422311,44.721115537848604,44.820717131474105,44.9203187250996,45.0199203187251,45.1195219123506,45.21912350597609,45.31872509960159,45.418326693227094,45.51792828685259,45.61752988047809,45.71713147410359,45.81673306772908,45.91633466135458,46.01593625498008,46.11553784860558,46.21513944223108,46.31474103585657,46.41434262948207,46.51394422310757,46.613545816733065,46.713147410358566,46.81274900398407,46.91235059760956,47.01195219123506,47.11155378486056,47.211155378486055,47.310756972111555,47.41035856573705,47.50996015936255,47.60956175298805,47.70916334661354,47.808764940239044,47.908366533864545,48.00796812749004,48.10756972111554,48.20717131474104,48.30677290836653,48.40637450199203,48.50597609561753,48.60557768924303,48.70517928286853,48.80478087649402,48.90438247011952,49.00398406374502,49.103585657370516,49.20318725099602,49.30278884462152,49.40239043824701,49.50199203187251,49.601593625498005,49.701195219123505,49.800796812749006,49.9003984063745,50.0],"y":[0.0,0.0199203187250996,0.0398406374501992,0.05976095617529881,0.0796812749003984,0.099601593625498,0.11952191235059761,0.1394422310756972,0.1593625498007968,0.17928286852589642,0.199203187250996,0.21912350597609562,0.23904382470119523,0.2589641434262948,0.2788844621513944,0.29880478087649404,0.3187250996015936,0.3386454183266932,0.35856573705179284,0.3784860557768924,0.398406374501992,0.41832669322709165,0.43824701195219123,0.4581673306772908,0.47808764940239046,0.49800796812749004,0.5179282868525896,0.5378486055776892,0.5577689243027888,0.5776892430278885,0.5976095617529881,0.6175298804780877,0.6374501992031872,0.6573705179282868,0.6772908366533864,0.6972111553784861,0.7171314741035857,0.7370517928286853,0.7569721115537849,0.7768924302788844,0.796812749003984,0.8167330677290837,0.8366533864541833,0.8565737051792829,0.8764940239043825,0.896414342629482,0.9163346613545816,0.9362549800796812,0.9561752988047809,0.9760956175298805,0.9960159362549801,1.0159362549800797,1.0358565737051793,1.0557768924302788,1.0756972111553784,1.095617529880478,1.1155378486055776,1.1354581673306774,1.155378486055777,1.1752988047808766,1.1952191235059761,1.2151394422310757,1.2350597609561753,1.254980079681275,1.2749003984063745,1.294820717131474,1.3147410358565736,1.3346613545816732,1.3545816733067728,1.3745019920318724,1.3944223107569722,1.4143426294820718,1.4342629482071714,1.454183266932271,1.4741035856573705,1.4940239043824701,1.5139442231075697,1.5338645418326693,1.5537848605577689,1.5737051792828685,1.593625498007968,1.6135458167330676,1.6334661354581674,1.653386454183267,1.6733067729083666,1.6932270916334662,1.7131474103585658,1.7330677290836654,1.752988047808765,1.7729083665338645,1.792828685258964,1.8127490039840637,1.8326693227091633,1.8525896414342629,1.8725099601593624,1.8924302788844622,1.9123505976095618,1.9322709163346614,1.952191235059761,1.9721115537848606,1.9920318725099602,2.0119521912350598,2.0318725099601593,2.051792828685259,2.0717131474103585,2.091633466135458,2.1115537848605577,2.1314741035856573,2.151394422310757,2.1713147410358564,2.191235059760956,2.2111553784860556,2.231075697211155,2.250996015936255,2.270916334661355,2.2908366533864544,2.310756972111554,2.3306772908366535,2.350597609561753,2.3705179282868527,2.3904382470119523,2.410358565737052,2.4302788844621515,2.450199203187251,2.4701195219123506,2.49003984063745,2.50996015936255,2.5298804780876494,2.549800796812749,2.5697211155378485,2.589641434262948,2.6095617529880477,2.6294820717131473,2.649402390438247,2.6693227091633465,2.689243027888446,2.7091633466135456,2.729083665338645,2.749003984063745,2.768924302788845,2.7888446215139444,2.808764940239044,2.8286852589641436,2.848605577689243,2.8685258964143427,2.8884462151394423,2.908366533864542,2.9282868525896415,2.948207171314741,2.9681274900398407,2.9880478087649402,3.00796812749004,3.0278884462151394,3.047808764940239,3.0677290836653386,3.087649402390438,3.1075697211155378,3.1274900398406373,3.147410358565737,3.1673306772908365,3.187250996015936,3.2071713147410357,3.2270916334661353,3.247011952191235,3.266932270916335,3.2868525896414345,3.306772908366534,3.3266932270916336,3.346613545816733,3.366533864541833,3.3864541832669324,3.406374501992032,3.4262948207171315,3.446215139442231,3.4661354581673307,3.4860557768924303,3.50597609561753,3.5258964143426295,3.545816733067729,3.5657370517928286,3.585657370517928,3.605577689243028,3.6254980079681274,3.645418326693227,3.6653386454183265,3.685258964143426,3.7051792828685257,3.7250996015936253,3.745019920318725,3.764940239043825,3.7848605577689245,3.804780876494024,3.8247011952191237,3.8446215139442232,3.864541832669323,3.8844621513944224,3.904382470119522,3.9243027888446216,3.944223107569721,3.9641434262948207,3.9840637450199203,4.00398406374502,4.0239043824701195,4.043824701195219,4.063745019920319,4.083665338645418,4.103585657370518,4.123505976095617,4.143426294820717,4.163346613545817,4.183266932270916,4.203187250996016,4.223107569721115,4.243027888446215,4.2629482071713145,4.282868525896414,4.302788844621514,4.322709163346613,4.342629482071713,4.362549800796812,4.382470119521912,4.402390438247012,4.422310756972111,4.442231075697211,4.46215139442231,4.48207171314741,4.50199203187251,4.52191235059761,4.54183266932271,4.561752988047809,4.581673306772909,4.601593625498008,4.621513944223108,4.6414342629482075,4.661354581673307,4.681274900398407,4.701195219123506,4.721115537848606,4.741035856573705,4.760956175298805,4.780876494023905,4.800796812749004,4.820717131474104,4.840637450199203,4.860557768924303,4.8804780876494025,4.900398406374502,4.920318725099602,4.940239043824701,4.960159362549801,4.9800796812749,5.0,5.0199203187251,5.039840637450199,5.059760956175299,5.079681274900398,5.099601593625498,5.1195219123505975,5.139442231075697,5.159362549800797,5.179282868525896,5.199203187250996,5.219123505976095,5.239043824701195,5.258964143426295,5.278884462151394,5.298804780876494,5.318725099601593,5.338645418326693,5.3585657370517925,5.378486055776892,5.398406374501992,5.418326693227091,5.438247011952191,5.45816733067729,5.47808764940239,5.49800796812749,5.51792828685259,5.53784860557769,5.557768924302789,5.577689243027889,5.597609561752988,5.617529880478088,5.637450199203188,5.657370517928287,5.677290836653387,5.697211155378486,5.717131474103586,5.7370517928286855,5.756972111553785,5.776892430278885,5.796812749003984,5.816733067729084,5.836653386454183,5.856573705179283,5.876494023904383,5.896414342629482,5.916334661354582,5.936254980079681,5.956175298804781,5.9760956175298805,5.99601593625498,6.01593625498008,6.035856573705179,6.055776892430279,6.075697211155378,6.095617529880478,6.115537848605578,6.135458167330677,6.155378486055777,6.175298804780876,6.195219123505976,6.2151394422310755,6.235059760956175,6.254980079681275,6.274900398406374,6.294820717131474,6.314741035856573,6.334661354581673,6.354581673306773,6.374501992031872,6.394422310756972,6.414342629482071,6.434262948207171,6.4541832669322705,6.47410358565737,6.49402390438247,6.51394422310757,6.53386454183267,6.553784860557769,6.573705179282869,6.5936254980079685,6.613545816733068,6.633466135458168,6.653386454183267,6.673306772908367,6.693227091633466,6.713147410358566,6.733067729083666,6.752988047808765,6.772908366533865,6.792828685258964,6.812749003984064,6.8326693227091635,6.852589641434263,6.872509960159363,6.892430278884462,6.912350597609562,6.932270916334661,6.952191235059761,6.972111553784861,6.99203187250996,7.01195219123506,7.031872509960159,7.051792828685259,7.0717131474103585,7.091633466135458,7.111553784860558,7.131474103585657,7.151394422310757,7.171314741035856,7.191235059760956,7.211155378486056,7.231075697211155,7.250996015936255,7.270916334661354,7.290836653386454,7.3107569721115535,7.330677290836653,7.350597609561753,7.370517928286852,7.390438247011952,7.410358565737051,7.430278884462151,7.450199203187251,7.47011952191235,7.49003984063745,7.50996015936255,7.52988047808765,7.549800796812749,7.569721115537849,7.589641434262949,7.609561752988048,7.629482071713148,7.649402390438247,7.669322709163347,7.6892430278884465,7.709163346613546,7.729083665338646,7.749003984063745,7.768924302788845,7.788844621513944,7.808764940239044,7.828685258964144,7.848605577689243,7.868525896414343,7.888446215139442,7.908366533864542,7.9282868525896415,7.948207171314741,7.968127490039841,7.98804780876494,8.00796812749004,8.02788844621514,8.047808764940239,8.06772908366534,8.087649402390438,8.107569721115539,8.127490039840637,8.147410358565738,8.167330677290837,8.187250996015937,8.207171314741036,8.227091633466136,8.247011952191235,8.266932270916335,8.286852589641434,8.306772908366534,8.326693227091633,8.346613545816734,8.366533864541832,8.386454183266933,8.406374501992032,8.426294820717132,8.44621513944223,8.466135458167331,8.48605577689243,8.50597609561753,8.525896414342629,8.54581673306773,8.565737051792828,8.585657370517929,8.605577689243027,8.625498007968128,8.645418326693227,8.665338645418327,8.685258964143426,8.705179282868526,8.725099601593625,8.745019920318725,8.764940239043824,8.784860557768924,8.804780876494023,8.824701195219124,8.844621513944222,8.864541832669323,8.884462151394422,8.904382470119522,8.92430278884462,8.944223107569721,8.96414342629482,8.98406374501992,9.00398406374502,9.02390438247012,9.04382470119522,9.063745019920319,9.08366533864542,9.103585657370518,9.123505976095618,9.143426294820717,9.163346613545817,9.183266932270916,9.203187250996017,9.223107569721115,9.243027888446216,9.262948207171315,9.282868525896415,9.302788844621514,9.322709163346614,9.342629482071713,9.362549800796813,9.382470119521912,9.402390438247012,9.422310756972111,9.442231075697212,9.46215139442231,9.48207171314741,9.50199203187251,9.52191235059761,9.541832669322709,9.56175298804781,9.581673306772908,9.601593625498008,9.621513944223107,9.641434262948207,9.661354581673306,9.681274900398407,9.701195219123505,9.721115537848606,9.741035856573705,9.760956175298805,9.780876494023904,9.800796812749004,9.820717131474103,9.840637450199203,9.860557768924302,9.880478087649402,9.900398406374501,9.920318725099602,9.9402390438247,9.9601593625498,9.9800796812749,10.0]} diff --git a/lib/node_modules/@stdlib/ml/base/loss/float64/epsilon-insensitive-gradient/test/fixtures/julia/tiny_negative.json b/lib/node_modules/@stdlib/ml/base/loss/float64/epsilon-insensitive-gradient/test/fixtures/julia/tiny_negative.json new file mode 100644 index 000000000000..2662dcf561e6 --- /dev/null +++ b/lib/node_modules/@stdlib/ml/base/loss/float64/epsilon-insensitive-gradient/test/fixtures/julia/tiny_negative.json @@ -0,0 +1 @@ +{"e":[0.0,9.9601593625498e-23,1.99203187250996e-22,2.9880478087649404e-22,3.98406374501992e-22,4.980079681274901e-22,5.976095617529881e-22,6.972111553784861e-22,7.96812749003984e-22,8.96414342629482e-22,9.960159362549801e-22,1.095617529880478e-21,1.1952191235059761e-21,1.294820717131474e-21,1.3944223107569722e-21,1.49402390438247e-21,1.593625498007968e-21,1.6932270916334661e-21,1.792828685258964e-21,1.892430278884462e-21,1.9920318725099602e-21,2.091633466135458e-21,2.191235059760956e-21,2.290836653386454e-21,2.3904382470119523e-21,2.49003984063745e-21,2.589641434262948e-21,2.6892430278884462e-21,2.7888446215139443e-21,2.888446215139442e-21,2.98804780876494e-21,3.0876494023904383e-21,3.187250996015936e-21,3.286852589641434e-21,3.3864541832669322e-21,3.48605577689243e-21,3.585657370517928e-21,3.6852589641434265e-21,3.784860557768924e-21,3.884462151394422e-21,3.9840637450199205e-21,4.083665338645418e-21,4.183266932270916e-21,4.2828685258964144e-21,4.382470119521912e-21,4.48207171314741e-21,4.581673306772908e-21,4.681274900398406e-21,4.7808764940239046e-21,4.880478087649402e-21,4.9800796812749e-21,5.0796812749003985e-21,5.179282868525896e-21,5.278884462151394e-21,5.3784860557768925e-21,5.47808764940239e-21,5.577689243027889e-21,5.6772908366533864e-21,5.776892430278884e-21,5.8764940239043826e-21,5.97609561752988e-21,6.075697211155378e-21,6.1752988047808765e-21,6.274900398406374e-21,6.374501992031872e-21,6.4741035856573705e-21,6.573705179282868e-21,6.673306772908367e-21,6.7729083665338644e-21,6.872509960159363e-21,6.97211155378486e-21,7.071713147410358e-21,7.171314741035856e-21,7.270916334661354e-21,7.370517928286853e-21,7.470119521912351e-21,7.569721115537849e-21,7.669322709163346e-21,7.768924302788844e-21,7.868525896414342e-21,7.968127490039841e-21,8.067729083665339e-21,8.167330677290836e-21,8.266932270916334e-21,8.366533864541832e-21,8.466135458167331e-21,8.565737051792829e-21,8.665338645418327e-21,8.764940239043824e-21,8.864541832669322e-21,8.96414342629482e-21,9.063745019920319e-21,9.163346613545817e-21,9.262948207171314e-21,9.362549800796812e-21,9.46215139442231e-21,9.561752988047809e-21,9.661354581673307e-21,9.760956175298805e-21,9.860557768924302e-21,9.9601593625498e-21,1.00597609561753e-20,1.0159362549800797e-20,1.0258964143426295e-20,1.0358565737051792e-20,1.045816733067729e-20,1.0557768924302788e-20,1.0657370517928287e-20,1.0756972111553785e-20,1.0856573705179283e-20,1.095617529880478e-20,1.1055776892430278e-20,1.1155378486055777e-20,1.1254980079681275e-20,1.1354581673306773e-20,1.145418326693227e-20,1.1553784860557768e-20,1.1653386454183266e-20,1.1752988047808765e-20,1.1852589641434263e-20,1.195219123505976e-20,1.2051792828685258e-20,1.2151394422310756e-20,1.2250996015936255e-20,1.2350597609561753e-20,1.2450199203187251e-20,1.2549800796812749e-20,1.2649402390438246e-20,1.2749003984063744e-20,1.2848605577689243e-20,1.2948207171314741e-20,1.3047808764940239e-20,1.3147410358565736e-20,1.3247011952191234e-20,1.3346613545816733e-20,1.3446215139442231e-20,1.3545816733067729e-20,1.3645418326693228e-20,1.3745019920318726e-20,1.3844621513944224e-20,1.394422310756972e-20,1.404382470119522e-20,1.4143426294820717e-20,1.4243027888446214e-20,1.4342629482071712e-20,1.444223107569721e-20,1.4541832669322708e-20,1.4641434262948205e-20,1.4741035856573706e-20,1.4840637450199204e-20,1.4940239043824702e-20,1.50398406374502e-20,1.5139442231075697e-20,1.5239043824701195e-20,1.5338645418326693e-20,1.543824701195219e-20,1.5537848605577688e-20,1.5637450199203186e-20,1.5737051792828683e-20,1.5836653386454184e-20,1.5936254980079682e-20,1.603585657370518e-20,1.6135458167330677e-20,1.6235059760956175e-20,1.6334661354581673e-20,1.643426294820717e-20,1.6533864541832668e-20,1.6633466135458166e-20,1.6733067729083664e-20,1.683266932270916e-20,1.6932270916334662e-20,1.703187250996016e-20,1.7131474103585658e-20,1.7231075697211155e-20,1.7330677290836653e-20,1.743027888446215e-20,1.752988047808765e-20,1.7629482071713146e-20,1.7729083665338644e-20,1.7828685258964142e-20,1.792828685258964e-20,1.802788844621514e-20,1.8127490039840638e-20,1.8227091633466136e-20,1.8326693227091633e-20,1.842629482071713e-20,1.852589641434263e-20,1.8625498007968127e-20,1.8725099601593624e-20,1.8824701195219122e-20,1.892430278884462e-20,1.902390438247012e-20,1.9123505976095618e-20,1.9223107569721116e-20,1.9322709163346614e-20,1.942231075697211e-20,1.952191235059761e-20,1.9621513944223107e-20,1.9721115537848605e-20,1.9820717131474102e-20,1.99203187250996e-20,2.0019920318725098e-20,2.01195219123506e-20,2.0219123505976096e-20,2.0318725099601594e-20,2.0418326693227092e-20,2.051792828685259e-20,2.0617529880478087e-20,2.0717131474103585e-20,2.0816733067729083e-20,2.091633466135458e-20,2.1015936254980078e-20,2.1115537848605576e-20,2.1215139442231077e-20,2.1314741035856574e-20,2.1414342629482072e-20,2.151394422310757e-20,2.1613545816733068e-20,2.1713147410358565e-20,2.1812749003984063e-20,2.191235059760956e-20,2.2011952191235058e-20,2.2111553784860556e-20,2.2211155378486054e-20,2.2310756972111555e-20,2.2410358565737052e-20,2.250996015936255e-20,2.2609561752988048e-20,2.2709163346613546e-20,2.2808764940239043e-20,2.290836653386454e-20,2.300796812749004e-20,2.3107569721115536e-20,2.3207171314741034e-20,2.3306772908366532e-20,2.3406374501992033e-20,2.350597609561753e-20,2.3605577689243028e-20,2.3705179282868526e-20,2.3804780876494024e-20,2.390438247011952e-20,2.400398406374502e-20,2.4103585657370517e-20,2.4203187250996015e-20,2.4302788844621512e-20,2.440239043824701e-20,2.450199203187251e-20,2.4601593625498008e-20,2.4701195219123506e-20,2.4800796812749004e-20,2.4900398406374502e-20,2.5e-20,2.5099601593625497e-20,2.5199203187250995e-20,2.5298804780876493e-20,2.539840637450199e-20,2.5498007968127488e-20,2.559760956175299e-20,2.5697211155378486e-20,2.5796812749003984e-20,2.5896414342629482e-20,2.599601593625498e-20,2.6095617529880477e-20,2.6195219123505975e-20,2.6294820717131473e-20,2.639442231075697e-20,2.6494023904382468e-20,2.6593625498007966e-20,2.6693227091633467e-20,2.6792828685258965e-20,2.6892430278884462e-20,2.699203187250996e-20,2.7091633466135458e-20,2.7191235059760955e-20,2.7290836653386456e-20,2.739043824701195e-20,2.749003984063745e-20,2.7589641434262946e-20,2.768924302788845e-20,2.778884462151394e-20,2.788844621513944e-20,2.798804780876494e-20,2.808764940239044e-20,2.818725099601593e-20,2.8286852589641433e-20,2.8386454183266934e-20,2.848605577689243e-20,2.858565737051793e-20,2.8685258964143424e-20,2.8784860557768925e-20,2.888446215139442e-20,2.898406374501992e-20,2.9083665338645415e-20,2.9183266932270916e-20,2.928286852589641e-20,2.938247011952191e-20,2.948207171314741e-20,2.9581673306772907e-20,2.968127490039841e-20,2.97808764940239e-20,2.9880478087649403e-20,2.99800796812749e-20,3.00796812749004e-20,3.0179282868525893e-20,3.0278884462151394e-20,3.037848605577689e-20,3.047808764940239e-20,3.057768924302789e-20,3.0677290836653385e-20,3.0776892430278886e-20,3.087649402390438e-20,3.097609561752988e-20,3.1075697211155376e-20,3.1175298804780877e-20,3.127490039840637e-20,3.137450199203187e-20,3.1474103585657367e-20,3.157370517928287e-20,3.167330677290837e-20,3.1772908366533863e-20,3.1872509960159364e-20,3.197211155378486e-20,3.207171314741036e-20,3.2171314741035854e-20,3.2270916334661355e-20,3.237051792828685e-20,3.247011952191235e-20,3.2569721115537845e-20,3.2669322709163346e-20,3.2768924302788846e-20,3.286852589641434e-20,3.296812749003984e-20,3.3067729083665337e-20,3.316733067729084e-20,3.326693227091633e-20,3.336653386454183e-20,3.346613545816733e-20,3.356573705179283e-20,3.366533864541832e-20,3.3764940239043824e-20,3.3864541832669324e-20,3.396414342629482e-20,3.406374501992032e-20,3.4163346613545815e-20,3.4262948207171315e-20,3.436254980079681e-20,3.446215139442231e-20,3.4561752988047806e-20,3.4661354581673306e-20,3.47609561752988e-20,3.48605577689243e-20,3.49601593625498e-20,3.50597609561753e-20,3.51593625498008e-20,3.525896414342629e-20,3.5358565737051793e-20,3.545816733067729e-20,3.555776892430279e-20,3.5657370517928284e-20,3.5756972111553784e-20,3.585657370517928e-20,3.595617529880478e-20,3.605577689243028e-20,3.6155378486055775e-20,3.6254980079681276e-20,3.635458167330677e-20,3.645418326693227e-20,3.6553784860557766e-20,3.6653386454183267e-20,3.675298804780876e-20,3.685258964143426e-20,3.695219123505976e-20,3.705179282868526e-20,3.715139442231076e-20,3.7250996015936253e-20,3.7350597609561754e-20,3.745019920318725e-20,3.754980079681275e-20,3.7649402390438244e-20,3.7749003984063745e-20,3.784860557768924e-20,3.794820717131474e-20,3.804780876494024e-20,3.8147410358565736e-20,3.8247011952191237e-20,3.834661354581673e-20,3.844621513944223e-20,3.8545816733067727e-20,3.864541832669323e-20,3.874501992031872e-20,3.884462151394422e-20,3.894422310756972e-20,3.904382470119522e-20,3.914342629482072e-20,3.9243027888446214e-20,3.9342629482071715e-20,3.944223107569721e-20,3.954183266932271e-20,3.9641434262948205e-20,3.9741035856573706e-20,3.98406374501992e-20,3.99402390438247e-20,4.0039840637450196e-20,4.0139442231075696e-20,4.02390438247012e-20,4.033864541832669e-20,4.043824701195219e-20,4.053784860557769e-20,4.063745019920319e-20,4.073705179282868e-20,4.0836653386454184e-20,4.093625498007968e-20,4.103585657370518e-20,4.1135458167330674e-20,4.1235059760956174e-20,4.1334661354581675e-20,4.143426294820717e-20,4.153386454183267e-20,4.1633466135458165e-20,4.1733067729083666e-20,4.183266932270916e-20,4.193227091633466e-20,4.2031872509960156e-20,4.213147410358566e-20,4.223107569721115e-20,4.233067729083665e-20,4.2430278884462153e-20,4.252988047808765e-20,4.262948207171315e-20,4.2729083665338643e-20,4.2828685258964144e-20,4.292828685258964e-20,4.302788844621514e-20,4.3127490039840634e-20,4.3227091633466135e-20,4.332669322709163e-20,4.342629482071713e-20,4.352589641434263e-20,4.3625498007968126e-20,4.3725099601593627e-20,4.382470119521912e-20,4.392430278884462e-20,4.4023904382470117e-20,4.412350597609562e-20,4.422310756972111e-20,4.4322709163346613e-20,4.442231075697211e-20,4.452191235059761e-20,4.462151394422311e-20,4.4721115537848604e-20,4.4820717131474105e-20,4.49203187250996e-20,4.50199203187251e-20,4.5119521912350595e-20,4.5219123505976096e-20,4.531872509960159e-20,4.541832669322709e-20,4.5517928286852586e-20,4.5617529880478087e-20,4.571713147410359e-20,4.581673306772908e-20,4.591633466135458e-20,4.601593625498008e-20,4.611553784860558e-20,4.621513944223107e-20,4.6314741035856574e-20,4.641434262948207e-20,4.651394422310757e-20,4.6613545816733064e-20,4.6713147410358565e-20,4.6812749003984065e-20,4.691235059760956e-20,4.701195219123506e-20,4.7111553784860556e-20,4.7211155378486056e-20,4.731075697211155e-20,4.741035856573705e-20,4.7509960159362546e-20,4.760956175298805e-20,4.770916334661354e-20,4.780876494023904e-20,4.7908366533864543e-20,4.800796812749004e-20,4.810756972111554e-20,4.8207171314741034e-20,4.8306772908366534e-20,4.840637450199203e-20,4.850597609561753e-20,4.8605577689243025e-20,4.8705179282868525e-20,4.880478087649402e-20,4.890438247011952e-20,4.900398406374502e-20,4.9103585657370516e-20,4.9203187250996017e-20,4.930278884462151e-20,4.940239043824701e-20,4.950199203187251e-20,4.960159362549801e-20,4.97011952191235e-20,4.9800796812749003e-20,4.99003984063745e-20,5.0e-20],"expected":[0.0,-3.98406374501992e-22,-7.96812749003984e-22,-1.1952191235059761e-21,-1.593625498007968e-21,-1.9920318725099602e-21,-2.3904382470119523e-21,-2.7888446215139443e-21,-3.187250996015936e-21,-3.585657370517928e-21,-3.9840637450199205e-21,-4.382470119521912e-21,-4.7808764940239046e-21,-5.179282868525896e-21,-5.577689243027889e-21,-5.97609561752988e-21,-6.374501992031872e-21,-6.7729083665338644e-21,-7.171314741035856e-21,-7.569721115537849e-21,-7.968127490039841e-21,-8.366533864541832e-21,-8.764940239043824e-21,-9.163346613545817e-21,-9.561752988047809e-21,-9.9601593625498e-21,-1.0358565737051792e-20,-1.0756972111553785e-20,-1.1155378486055777e-20,-1.1553784860557768e-20,-1.195219123505976e-20,-1.2350597609561753e-20,-1.2749003984063744e-20,-1.3147410358565736e-20,-1.3545816733067729e-20,-1.394422310756972e-20,-1.4342629482071712e-20,-1.4741035856573706e-20,-1.5139442231075697e-20,-1.5537848605577688e-20,-1.5936254980079682e-20,-1.6334661354581673e-20,-1.6733067729083664e-20,-1.7131474103585658e-20,-1.752988047808765e-20,-1.792828685258964e-20,-1.8326693227091633e-20,-1.8725099601593624e-20,-1.9123505976095618e-20,-1.952191235059761e-20,-1.99203187250996e-20,-2.0318725099601594e-20,-2.0717131474103585e-20,-2.1115537848605576e-20,-2.151394422310757e-20,-2.191235059760956e-20,-2.2310756972111555e-20,-2.2709163346613546e-20,-2.3107569721115536e-20,-2.350597609561753e-20,-2.390438247011952e-20,-2.4302788844621512e-20,-2.4701195219123506e-20,-2.5099601593625497e-20,-2.5498007968127488e-20,-2.5896414342629482e-20,-2.6294820717131473e-20,-2.6693227091633467e-20,-2.7091633466135458e-20,-2.749003984063745e-20,-2.788844621513944e-20,-2.8286852589641433e-20,-2.8685258964143424e-20,-2.9083665338645415e-20,-2.948207171314741e-20,-2.9880478087649403e-20,-3.0278884462151394e-20,-3.0677290836653385e-20,-3.1075697211155376e-20,-3.1474103585657367e-20,-3.1872509960159364e-20,-3.2270916334661355e-20,-3.2669322709163346e-20,-3.3067729083665337e-20,-3.346613545816733e-20,-3.3864541832669324e-20,-3.4262948207171315e-20,-3.4661354581673306e-20,-3.50597609561753e-20,-3.545816733067729e-20,-3.585657370517928e-20,-3.6254980079681276e-20,-3.6653386454183267e-20,-3.705179282868526e-20,-3.745019920318725e-20,-3.784860557768924e-20,-3.8247011952191237e-20,-3.864541832669323e-20,-3.904382470119522e-20,-3.944223107569721e-20,-3.98406374501992e-20,-4.02390438247012e-20,-4.063745019920319e-20,-4.103585657370518e-20,-4.143426294820717e-20,-4.183266932270916e-20,-4.223107569721115e-20,-4.262948207171315e-20,-4.302788844621514e-20,-4.342629482071713e-20,-4.382470119521912e-20,-4.422310756972111e-20,-4.462151394422311e-20,-4.50199203187251e-20,-4.541832669322709e-20,-4.581673306772908e-20,-4.621513944223107e-20,-4.6613545816733064e-20,-4.701195219123506e-20,-4.741035856573705e-20,-4.780876494023904e-20,-4.8207171314741034e-20,-4.8605577689243025e-20,-4.900398406374502e-20,-4.940239043824701e-20,-4.9800796812749003e-20,-5.0199203187250994e-20,-5.0597609561752985e-20,-5.0996015936254976e-20,-5.139442231075697e-20,-5.1792828685258964e-20,-5.2191235059760955e-20,-5.2589641434262946e-20,-5.2988047808764937e-20,-5.3386454183266934e-20,-5.3784860557768925e-20,-5.4183266932270915e-20,-5.458167330677291e-20,-5.49800796812749e-20,-5.53784860557769e-20,-5.577689243027889e-20,-5.617529880478088e-20,-5.657370517928287e-20,-5.697211155378486e-20,-5.737051792828685e-20,-5.776892430278884e-20,-5.816733067729083e-20,-5.856573705179282e-20,-5.896414342629482e-20,-5.936254980079682e-20,-5.976095617529881e-20,-6.01593625498008e-20,-6.055776892430279e-20,-6.095617529880478e-20,-6.135458167330677e-20,-6.175298804780876e-20,-6.215139442231075e-20,-6.254980079681274e-20,-6.294820717131473e-20,-6.334661354581674e-20,-6.374501992031873e-20,-6.414342629482072e-20,-6.454183266932271e-20,-6.49402390438247e-20,-6.533864541832669e-20,-6.573705179282868e-20,-6.613545816733067e-20,-6.653386454183266e-20,-6.693227091633465e-20,-6.733067729083665e-20,-6.772908366533865e-20,-6.812749003984064e-20,-6.852589641434263e-20,-6.892430278884462e-20,-6.932270916334661e-20,-6.97211155378486e-20,-7.01195219123506e-20,-7.051792828685259e-20,-7.091633466135458e-20,-7.131474103585657e-20,-7.171314741035856e-20,-7.211155378486056e-20,-7.250996015936255e-20,-7.290836653386454e-20,-7.330677290836653e-20,-7.370517928286852e-20,-7.410358565737052e-20,-7.450199203187251e-20,-7.49003984063745e-20,-7.529880478087649e-20,-7.569721115537848e-20,-7.609561752988048e-20,-7.649402390438247e-20,-7.689243027888446e-20,-7.729083665338645e-20,-7.768924302788845e-20,-7.808764940239044e-20,-7.848605577689243e-20,-7.888446215139442e-20,-7.928286852589641e-20,-7.96812749003984e-20,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,1.3346613545816733e-19,1.338645418326693e-19,1.3426294820717131e-19,1.346613545816733e-19,1.350597609561753e-19,1.354581673306773e-19,1.3585657370517928e-19,1.3625498007968128e-19,1.3665338645418326e-19,1.3705179282868526e-19,1.3745019920318724e-19,1.3784860557768924e-19,1.3824701195219122e-19,1.3864541832669323e-19,1.390438247011952e-19,1.394422310756972e-19,1.398406374501992e-19,1.402390438247012e-19,1.406374501992032e-19,1.4103585657370517e-19,1.4143426294820717e-19,1.4183266932270915e-19,1.4223107569721116e-19,1.4262948207171313e-19,1.4302788844621514e-19,1.4342629482071712e-19,1.4382470119521912e-19,1.4422310756972112e-19,1.446215139442231e-19,1.450199203187251e-19,1.4541832669322708e-19,1.4581673306772909e-19,1.4621513944223106e-19,1.4661354581673307e-19,1.4701195219123505e-19,1.4741035856573705e-19,1.4780876494023903e-19,1.4820717131474103e-19,1.4860557768924303e-19,1.4900398406374501e-19,1.4940239043824702e-19,1.49800796812749e-19,1.50199203187251e-19,1.5059760956175298e-19,1.5099601593625498e-19,1.5139442231075696e-19,1.5179282868525896e-19,1.5219123505976096e-19,1.5258964143426294e-19,1.5298804780876495e-19,1.5338645418326693e-19,1.5378486055776893e-19,1.541832669322709e-19,1.545816733067729e-19,1.549800796812749e-19,1.553784860557769e-19,1.5577689243027887e-19,1.5617529880478087e-19,1.5657370517928288e-19,1.5697211155378486e-19,1.5737051792828686e-19,1.5776892430278884e-19,1.5816733067729084e-19,1.5856573705179282e-19,1.5896414342629482e-19,1.593625498007968e-19,1.597609561752988e-19,1.6015936254980078e-19,1.6055776892430279e-19,1.609561752988048e-19,1.6135458167330677e-19,1.6175298804780877e-19,1.6215139442231075e-19,1.6254980079681275e-19,1.6294820717131473e-19,1.6334661354581673e-19,1.6374501992031871e-19,1.6414342629482072e-19,1.645418326693227e-19,1.649402390438247e-19,1.653386454183267e-19,1.6573705179282868e-19,1.6613545816733068e-19,1.6653386454183266e-19,1.6693227091633466e-19,1.6733067729083664e-19,1.6772908366533865e-19,1.6812749003984063e-19,1.6852589641434263e-19,1.689243027888446e-19,1.693227091633466e-19,1.6972111553784861e-19,1.701195219123506e-19,1.705179282868526e-19,1.7091633466135457e-19,1.7131474103585658e-19,1.7171314741035856e-19,1.7211155378486056e-19,1.7250996015936254e-19,1.7290836653386454e-19,1.7330677290836652e-19,1.7370517928286852e-19,1.7410358565737053e-19,1.745019920318725e-19,1.749003984063745e-19,1.7529880478087649e-19,1.756972111553785e-19,1.7609561752988047e-19,1.7649402390438247e-19,1.7689243027888445e-19,1.7729083665338645e-19,1.7768924302788843e-19,1.7808764940239043e-19,1.7848605577689244e-19,1.7888446215139442e-19,1.7928286852589642e-19,1.796812749003984e-19,1.800796812749004e-19,1.8047808764940238e-19,1.8087649402390438e-19,1.8127490039840636e-19,1.8167330677290836e-19,1.8207171314741034e-19,1.8247011952191235e-19,1.8286852589641435e-19,1.8326693227091633e-19,1.8366533864541833e-19,1.840637450199203e-19,1.8446215139442231e-19,1.848605577689243e-19,1.852589641434263e-19,1.8565737051792827e-19,1.8605577689243028e-19,1.8645418326693226e-19,1.8685258964143426e-19,1.8725099601593626e-19,1.8764940239043824e-19,1.8804780876494024e-19,1.8844621513944222e-19,1.8884462151394423e-19,1.892430278884462e-19,1.896414342629482e-19,1.9003984063745019e-19,1.904382470119522e-19,1.9083665338645417e-19,1.9123505976095617e-19,1.9163346613545817e-19,1.9203187250996015e-19,1.9243027888446216e-19,1.9282868525896413e-19,1.9322709163346614e-19,1.9362549800796812e-19,1.9402390438247012e-19,1.944223107569721e-19,1.948207171314741e-19,1.9521912350597608e-19,1.9561752988047808e-19,1.9601593625498009e-19,1.9641434262948206e-19,1.9681274900398407e-19,1.9721115537848605e-19,1.9760956175298805e-19,1.9800796812749003e-19,1.9840637450199203e-19,1.98804780876494e-19,1.9920318725099601e-19,1.99601593625498e-19,2.0e-19],"p":[0.0,-1.99203187250996e-22,-3.98406374501992e-22,-5.976095617529881e-22,-7.96812749003984e-22,-9.960159362549801e-22,-1.1952191235059761e-21,-1.3944223107569722e-21,-1.593625498007968e-21,-1.792828685258964e-21,-1.9920318725099602e-21,-2.191235059760956e-21,-2.3904382470119523e-21,-2.589641434262948e-21,-2.7888446215139443e-21,-2.98804780876494e-21,-3.187250996015936e-21,-3.3864541832669322e-21,-3.585657370517928e-21,-3.784860557768924e-21,-3.9840637450199205e-21,-4.183266932270916e-21,-4.382470119521912e-21,-4.581673306772908e-21,-4.7808764940239046e-21,-4.9800796812749e-21,-5.179282868525896e-21,-5.3784860557768925e-21,-5.577689243027889e-21,-5.776892430278884e-21,-5.97609561752988e-21,-6.1752988047808765e-21,-6.374501992031872e-21,-6.573705179282868e-21,-6.7729083665338644e-21,-6.97211155378486e-21,-7.171314741035856e-21,-7.370517928286853e-21,-7.569721115537849e-21,-7.768924302788844e-21,-7.968127490039841e-21,-8.167330677290836e-21,-8.366533864541832e-21,-8.565737051792829e-21,-8.764940239043824e-21,-8.96414342629482e-21,-9.163346613545817e-21,-9.362549800796812e-21,-9.561752988047809e-21,-9.760956175298805e-21,-9.9601593625498e-21,-1.0159362549800797e-20,-1.0358565737051792e-20,-1.0557768924302788e-20,-1.0756972111553785e-20,-1.095617529880478e-20,-1.1155378486055777e-20,-1.1354581673306773e-20,-1.1553784860557768e-20,-1.1752988047808765e-20,-1.195219123505976e-20,-1.2151394422310756e-20,-1.2350597609561753e-20,-1.2549800796812749e-20,-1.2749003984063744e-20,-1.2948207171314741e-20,-1.3147410358565736e-20,-1.3346613545816733e-20,-1.3545816733067729e-20,-1.3745019920318726e-20,-1.394422310756972e-20,-1.4143426294820717e-20,-1.4342629482071712e-20,-1.4541832669322708e-20,-1.4741035856573706e-20,-1.4940239043824702e-20,-1.5139442231075697e-20,-1.5338645418326693e-20,-1.5537848605577688e-20,-1.5737051792828683e-20,-1.5936254980079682e-20,-1.6135458167330677e-20,-1.6334661354581673e-20,-1.6533864541832668e-20,-1.6733067729083664e-20,-1.6932270916334662e-20,-1.7131474103585658e-20,-1.7330677290836653e-20,-1.752988047808765e-20,-1.7729083665338644e-20,-1.792828685258964e-20,-1.8127490039840638e-20,-1.8326693227091633e-20,-1.852589641434263e-20,-1.8725099601593624e-20,-1.892430278884462e-20,-1.9123505976095618e-20,-1.9322709163346614e-20,-1.952191235059761e-20,-1.9721115537848605e-20,-1.99203187250996e-20,-2.01195219123506e-20,-2.0318725099601594e-20,-2.051792828685259e-20,-2.0717131474103585e-20,-2.091633466135458e-20,-2.1115537848605576e-20,-2.1314741035856574e-20,-2.151394422310757e-20,-2.1713147410358565e-20,-2.191235059760956e-20,-2.2111553784860556e-20,-2.2310756972111555e-20,-2.250996015936255e-20,-2.2709163346613546e-20,-2.290836653386454e-20,-2.3107569721115536e-20,-2.3306772908366532e-20,-2.350597609561753e-20,-2.3705179282868526e-20,-2.390438247011952e-20,-2.4103585657370517e-20,-2.4302788844621512e-20,-2.450199203187251e-20,-2.4701195219123506e-20,-2.4900398406374502e-20,-2.5099601593625497e-20,-2.5298804780876493e-20,-2.5498007968127488e-20,-2.5697211155378486e-20,-2.5896414342629482e-20,-2.6095617529880477e-20,-2.6294820717131473e-20,-2.6494023904382468e-20,-2.6693227091633467e-20,-2.6892430278884462e-20,-2.7091633466135458e-20,-2.7290836653386456e-20,-2.749003984063745e-20,-2.768924302788845e-20,-2.788844621513944e-20,-2.808764940239044e-20,-2.8286852589641433e-20,-2.848605577689243e-20,-2.8685258964143424e-20,-2.888446215139442e-20,-2.9083665338645415e-20,-2.928286852589641e-20,-2.948207171314741e-20,-2.968127490039841e-20,-2.9880478087649403e-20,-3.00796812749004e-20,-3.0278884462151394e-20,-3.047808764940239e-20,-3.0677290836653385e-20,-3.087649402390438e-20,-3.1075697211155376e-20,-3.127490039840637e-20,-3.1474103585657367e-20,-3.167330677290837e-20,-3.1872509960159364e-20,-3.207171314741036e-20,-3.2270916334661355e-20,-3.247011952191235e-20,-3.2669322709163346e-20,-3.286852589641434e-20,-3.3067729083665337e-20,-3.326693227091633e-20,-3.346613545816733e-20,-3.366533864541832e-20,-3.3864541832669324e-20,-3.406374501992032e-20,-3.4262948207171315e-20,-3.446215139442231e-20,-3.4661354581673306e-20,-3.48605577689243e-20,-3.50597609561753e-20,-3.525896414342629e-20,-3.545816733067729e-20,-3.5657370517928284e-20,-3.585657370517928e-20,-3.605577689243028e-20,-3.6254980079681276e-20,-3.645418326693227e-20,-3.6653386454183267e-20,-3.685258964143426e-20,-3.705179282868526e-20,-3.7250996015936253e-20,-3.745019920318725e-20,-3.7649402390438244e-20,-3.784860557768924e-20,-3.804780876494024e-20,-3.8247011952191237e-20,-3.844621513944223e-20,-3.864541832669323e-20,-3.884462151394422e-20,-3.904382470119522e-20,-3.9243027888446214e-20,-3.944223107569721e-20,-3.9641434262948205e-20,-3.98406374501992e-20,-4.0039840637450196e-20,-4.02390438247012e-20,-4.043824701195219e-20,-4.063745019920319e-20,-4.0836653386454184e-20,-4.103585657370518e-20,-4.1235059760956174e-20,-4.143426294820717e-20,-4.1633466135458165e-20,-4.183266932270916e-20,-4.2031872509960156e-20,-4.223107569721115e-20,-4.2430278884462153e-20,-4.262948207171315e-20,-4.2828685258964144e-20,-4.302788844621514e-20,-4.3227091633466135e-20,-4.342629482071713e-20,-4.3625498007968126e-20,-4.382470119521912e-20,-4.4023904382470117e-20,-4.422310756972111e-20,-4.442231075697211e-20,-4.462151394422311e-20,-4.4820717131474105e-20,-4.50199203187251e-20,-4.5219123505976096e-20,-4.541832669322709e-20,-4.5617529880478087e-20,-4.581673306772908e-20,-4.601593625498008e-20,-4.621513944223107e-20,-4.641434262948207e-20,-4.6613545816733064e-20,-4.6812749003984065e-20,-4.701195219123506e-20,-4.7211155378486056e-20,-4.741035856573705e-20,-4.760956175298805e-20,-4.780876494023904e-20,-4.800796812749004e-20,-4.8207171314741034e-20,-4.840637450199203e-20,-4.8605577689243025e-20,-4.880478087649402e-20,-4.900398406374502e-20,-4.9203187250996017e-20,-4.940239043824701e-20,-4.960159362549801e-20,-4.9800796812749003e-20,-5.0e-20,-5.0199203187250994e-20,-5.039840637450199e-20,-5.0597609561752985e-20,-5.079681274900398e-20,-5.0996015936254976e-20,-5.119521912350598e-20,-5.139442231075697e-20,-5.159362549800797e-20,-5.1792828685258964e-20,-5.199203187250996e-20,-5.2191235059760955e-20,-5.239043824701195e-20,-5.2589641434262946e-20,-5.278884462151394e-20,-5.2988047808764937e-20,-5.318725099601593e-20,-5.3386454183266934e-20,-5.358565737051793e-20,-5.3784860557768925e-20,-5.398406374501992e-20,-5.4183266932270915e-20,-5.438247011952191e-20,-5.458167330677291e-20,-5.47808764940239e-20,-5.49800796812749e-20,-5.517928286852589e-20,-5.53784860557769e-20,-5.557768924302788e-20,-5.577689243027889e-20,-5.597609561752987e-20,-5.617529880478088e-20,-5.637450199203187e-20,-5.657370517928287e-20,-5.677290836653387e-20,-5.697211155378486e-20,-5.717131474103586e-20,-5.737051792828685e-20,-5.756972111553785e-20,-5.776892430278884e-20,-5.796812749003984e-20,-5.816733067729083e-20,-5.836653386454183e-20,-5.856573705179282e-20,-5.876494023904382e-20,-5.896414342629482e-20,-5.916334661354581e-20,-5.936254980079682e-20,-5.95617529880478e-20,-5.976095617529881e-20,-5.99601593625498e-20,-6.01593625498008e-20,-6.035856573705179e-20,-6.055776892430279e-20,-6.075697211155378e-20,-6.095617529880478e-20,-6.115537848605578e-20,-6.135458167330677e-20,-6.155378486055777e-20,-6.175298804780876e-20,-6.195219123505976e-20,-6.215139442231075e-20,-6.235059760956175e-20,-6.254980079681274e-20,-6.274900398406374e-20,-6.294820717131473e-20,-6.314741035856574e-20,-6.334661354581674e-20,-6.354581673306773e-20,-6.374501992031873e-20,-6.394422310756972e-20,-6.414342629482072e-20,-6.434262948207171e-20,-6.454183266932271e-20,-6.47410358565737e-20,-6.49402390438247e-20,-6.513944223107569e-20,-6.533864541832669e-20,-6.553784860557769e-20,-6.573705179282868e-20,-6.593625498007968e-20,-6.613545816733067e-20,-6.633466135458167e-20,-6.653386454183266e-20,-6.673306772908367e-20,-6.693227091633465e-20,-6.713147410358566e-20,-6.733067729083665e-20,-6.752988047808765e-20,-6.772908366533865e-20,-6.792828685258964e-20,-6.812749003984064e-20,-6.832669322709163e-20,-6.852589641434263e-20,-6.872509960159362e-20,-6.892430278884462e-20,-6.912350597609561e-20,-6.932270916334661e-20,-6.95219123505976e-20,-6.97211155378486e-20,-6.99203187250996e-20,-7.01195219123506e-20,-7.03187250996016e-20,-7.051792828685259e-20,-7.071713147410359e-20,-7.091633466135458e-20,-7.111553784860558e-20,-7.131474103585657e-20,-7.151394422310757e-20,-7.171314741035856e-20,-7.191235059760956e-20,-7.211155378486056e-20,-7.231075697211155e-20,-7.250996015936255e-20,-7.270916334661354e-20,-7.290836653386454e-20,-7.310756972111553e-20,-7.330677290836653e-20,-7.350597609561752e-20,-7.370517928286852e-20,-7.390438247011951e-20,-7.410358565737052e-20,-7.430278884462152e-20,-7.450199203187251e-20,-7.470119521912351e-20,-7.49003984063745e-20,-7.50996015936255e-20,-7.529880478087649e-20,-7.549800796812749e-20,-7.569721115537848e-20,-7.589641434262948e-20,-7.609561752988048e-20,-7.629482071713147e-20,-7.649402390438247e-20,-7.669322709163346e-20,-7.689243027888446e-20,-7.709163346613545e-20,-7.729083665338645e-20,-7.749003984063744e-20,-7.768924302788845e-20,-7.788844621513944e-20,-7.808764940239044e-20,-7.828685258964144e-20,-7.848605577689243e-20,-7.868525896414343e-20,-7.888446215139442e-20,-7.908366533864542e-20,-7.928286852589641e-20,-7.948207171314741e-20,-7.96812749003984e-20,-7.98804780876494e-20,-8.007968127490039e-20,-8.027888446215139e-20,-8.04780876494024e-20,-8.067729083665338e-20,-8.087649402390439e-20,-8.107569721115537e-20,-8.127490039840638e-20,-8.147410358565737e-20,-8.167330677290837e-20,-8.187250996015936e-20,-8.207171314741036e-20,-8.227091633466135e-20,-8.247011952191235e-20,-8.266932270916335e-20,-8.286852589641434e-20,-8.306772908366534e-20,-8.326693227091633e-20,-8.346613545816733e-20,-8.366533864541832e-20,-8.386454183266932e-20,-8.406374501992031e-20,-8.426294820717131e-20,-8.44621513944223e-20,-8.46613545816733e-20,-8.486055776892431e-20,-8.50597609561753e-20,-8.52589641434263e-20,-8.545816733067729e-20,-8.565737051792829e-20,-8.585657370517928e-20,-8.605577689243028e-20,-8.625498007968127e-20,-8.645418326693227e-20,-8.665338645418326e-20,-8.685258964143426e-20,-8.705179282868526e-20,-8.725099601593625e-20,-8.745019920318725e-20,-8.764940239043824e-20,-8.784860557768924e-20,-8.804780876494023e-20,-8.824701195219124e-20,-8.844621513944222e-20,-8.864541832669323e-20,-8.884462151394422e-20,-8.904382470119522e-20,-8.924302788844622e-20,-8.944223107569721e-20,-8.964143426294821e-20,-8.98406374501992e-20,-9.00398406374502e-20,-9.023904382470119e-20,-9.043824701195219e-20,-9.063745019920318e-20,-9.083665338645418e-20,-9.103585657370517e-20,-9.123505976095617e-20,-9.143426294820717e-20,-9.163346613545816e-20,-9.183266932270917e-20,-9.203187250996016e-20,-9.223107569721116e-20,-9.243027888446215e-20,-9.262948207171315e-20,-9.282868525896414e-20,-9.302788844621514e-20,-9.322709163346613e-20,-9.342629482071713e-20,-9.362549800796813e-20,-9.382470119521912e-20,-9.402390438247012e-20,-9.422310756972111e-20,-9.442231075697211e-20,-9.46215139442231e-20,-9.48207171314741e-20,-9.501992031872509e-20,-9.52191235059761e-20,-9.541832669322708e-20,-9.561752988047809e-20,-9.581673306772909e-20,-9.601593625498008e-20,-9.621513944223108e-20,-9.641434262948207e-20,-9.661354581673307e-20,-9.681274900398406e-20,-9.701195219123506e-20,-9.721115537848605e-20,-9.741035856573705e-20,-9.760956175298804e-20,-9.780876494023904e-20,-9.800796812749004e-20,-9.820717131474103e-20,-9.840637450199203e-20,-9.860557768924302e-20,-9.880478087649402e-20,-9.900398406374501e-20,-9.920318725099602e-20,-9.9402390438247e-20,-9.960159362549801e-20,-9.9800796812749e-20,-1.0e-19],"x":[0.0,-3.98406374501992e-22,-7.96812749003984e-22,-1.1952191235059761e-21,-1.593625498007968e-21,-1.9920318725099602e-21,-2.3904382470119523e-21,-2.7888446215139443e-21,-3.187250996015936e-21,-3.585657370517928e-21,-3.9840637450199205e-21,-4.382470119521912e-21,-4.7808764940239046e-21,-5.179282868525896e-21,-5.577689243027889e-21,-5.97609561752988e-21,-6.374501992031872e-21,-6.7729083665338644e-21,-7.171314741035856e-21,-7.569721115537849e-21,-7.968127490039841e-21,-8.366533864541832e-21,-8.764940239043824e-21,-9.163346613545817e-21,-9.561752988047809e-21,-9.9601593625498e-21,-1.0358565737051792e-20,-1.0756972111553785e-20,-1.1155378486055777e-20,-1.1553784860557768e-20,-1.195219123505976e-20,-1.2350597609561753e-20,-1.2749003984063744e-20,-1.3147410358565736e-20,-1.3545816733067729e-20,-1.394422310756972e-20,-1.4342629482071712e-20,-1.4741035856573706e-20,-1.5139442231075697e-20,-1.5537848605577688e-20,-1.5936254980079682e-20,-1.6334661354581673e-20,-1.6733067729083664e-20,-1.7131474103585658e-20,-1.752988047808765e-20,-1.792828685258964e-20,-1.8326693227091633e-20,-1.8725099601593624e-20,-1.9123505976095618e-20,-1.952191235059761e-20,-1.99203187250996e-20,-2.0318725099601594e-20,-2.0717131474103585e-20,-2.1115537848605576e-20,-2.151394422310757e-20,-2.191235059760956e-20,-2.2310756972111555e-20,-2.2709163346613546e-20,-2.3107569721115536e-20,-2.350597609561753e-20,-2.390438247011952e-20,-2.4302788844621512e-20,-2.4701195219123506e-20,-2.5099601593625497e-20,-2.5498007968127488e-20,-2.5896414342629482e-20,-2.6294820717131473e-20,-2.6693227091633467e-20,-2.7091633466135458e-20,-2.749003984063745e-20,-2.788844621513944e-20,-2.8286852589641433e-20,-2.8685258964143424e-20,-2.9083665338645415e-20,-2.948207171314741e-20,-2.9880478087649403e-20,-3.0278884462151394e-20,-3.0677290836653385e-20,-3.1075697211155376e-20,-3.1474103585657367e-20,-3.1872509960159364e-20,-3.2270916334661355e-20,-3.2669322709163346e-20,-3.3067729083665337e-20,-3.346613545816733e-20,-3.3864541832669324e-20,-3.4262948207171315e-20,-3.4661354581673306e-20,-3.50597609561753e-20,-3.545816733067729e-20,-3.585657370517928e-20,-3.6254980079681276e-20,-3.6653386454183267e-20,-3.705179282868526e-20,-3.745019920318725e-20,-3.784860557768924e-20,-3.8247011952191237e-20,-3.864541832669323e-20,-3.904382470119522e-20,-3.944223107569721e-20,-3.98406374501992e-20,-4.02390438247012e-20,-4.063745019920319e-20,-4.103585657370518e-20,-4.143426294820717e-20,-4.183266932270916e-20,-4.223107569721115e-20,-4.262948207171315e-20,-4.302788844621514e-20,-4.342629482071713e-20,-4.382470119521912e-20,-4.422310756972111e-20,-4.462151394422311e-20,-4.50199203187251e-20,-4.541832669322709e-20,-4.581673306772908e-20,-4.621513944223107e-20,-4.6613545816733064e-20,-4.701195219123506e-20,-4.741035856573705e-20,-4.780876494023904e-20,-4.8207171314741034e-20,-4.8605577689243025e-20,-4.900398406374502e-20,-4.940239043824701e-20,-4.9800796812749003e-20,-5.0199203187250994e-20,-5.0597609561752985e-20,-5.0996015936254976e-20,-5.139442231075697e-20,-5.1792828685258964e-20,-5.2191235059760955e-20,-5.2589641434262946e-20,-5.2988047808764937e-20,-5.3386454183266934e-20,-5.3784860557768925e-20,-5.4183266932270915e-20,-5.458167330677291e-20,-5.49800796812749e-20,-5.53784860557769e-20,-5.577689243027889e-20,-5.617529880478088e-20,-5.657370517928287e-20,-5.697211155378486e-20,-5.737051792828685e-20,-5.776892430278884e-20,-5.816733067729083e-20,-5.856573705179282e-20,-5.896414342629482e-20,-5.936254980079682e-20,-5.976095617529881e-20,-6.01593625498008e-20,-6.055776892430279e-20,-6.095617529880478e-20,-6.135458167330677e-20,-6.175298804780876e-20,-6.215139442231075e-20,-6.254980079681274e-20,-6.294820717131473e-20,-6.334661354581674e-20,-6.374501992031873e-20,-6.414342629482072e-20,-6.454183266932271e-20,-6.49402390438247e-20,-6.533864541832669e-20,-6.573705179282868e-20,-6.613545816733067e-20,-6.653386454183266e-20,-6.693227091633465e-20,-6.733067729083665e-20,-6.772908366533865e-20,-6.812749003984064e-20,-6.852589641434263e-20,-6.892430278884462e-20,-6.932270916334661e-20,-6.97211155378486e-20,-7.01195219123506e-20,-7.051792828685259e-20,-7.091633466135458e-20,-7.131474103585657e-20,-7.171314741035856e-20,-7.211155378486056e-20,-7.250996015936255e-20,-7.290836653386454e-20,-7.330677290836653e-20,-7.370517928286852e-20,-7.410358565737052e-20,-7.450199203187251e-20,-7.49003984063745e-20,-7.529880478087649e-20,-7.569721115537848e-20,-7.609561752988048e-20,-7.649402390438247e-20,-7.689243027888446e-20,-7.729083665338645e-20,-7.768924302788845e-20,-7.808764940239044e-20,-7.848605577689243e-20,-7.888446215139442e-20,-7.928286852589641e-20,-7.96812749003984e-20,-8.007968127490039e-20,-8.04780876494024e-20,-8.087649402390439e-20,-8.127490039840638e-20,-8.167330677290837e-20,-8.207171314741036e-20,-8.247011952191235e-20,-8.286852589641434e-20,-8.326693227091633e-20,-8.366533864541832e-20,-8.406374501992031e-20,-8.44621513944223e-20,-8.486055776892431e-20,-8.52589641434263e-20,-8.565737051792829e-20,-8.605577689243028e-20,-8.645418326693227e-20,-8.685258964143426e-20,-8.725099601593625e-20,-8.764940239043824e-20,-8.804780876494023e-20,-8.844621513944222e-20,-8.884462151394422e-20,-8.924302788844622e-20,-8.964143426294821e-20,-9.00398406374502e-20,-9.043824701195219e-20,-9.083665338645418e-20,-9.123505976095617e-20,-9.163346613545816e-20,-9.203187250996016e-20,-9.243027888446215e-20,-9.282868525896414e-20,-9.322709163346613e-20,-9.362549800796813e-20,-9.402390438247012e-20,-9.442231075697211e-20,-9.48207171314741e-20,-9.52191235059761e-20,-9.561752988047809e-20,-9.601593625498008e-20,-9.641434262948207e-20,-9.681274900398406e-20,-9.721115537848605e-20,-9.760956175298804e-20,-9.800796812749004e-20,-9.840637450199203e-20,-9.880478087649402e-20,-9.920318725099602e-20,-9.960159362549801e-20,-1.0e-19,-1.0039840637450199e-19,-1.0079681274900398e-19,-1.0119521912350597e-19,-1.0159362549800796e-19,-1.0199203187250995e-19,-1.0239043824701196e-19,-1.0278884462151395e-19,-1.0318725099601594e-19,-1.0358565737051793e-19,-1.0398406374501992e-19,-1.0438247011952191e-19,-1.047808764940239e-19,-1.0517928286852589e-19,-1.0557768924302788e-19,-1.0597609561752987e-19,-1.0637450199203186e-19,-1.0677290836653387e-19,-1.0717131474103586e-19,-1.0756972111553785e-19,-1.0796812749003984e-19,-1.0836653386454183e-19,-1.0876494023904382e-19,-1.0916334661354582e-19,-1.095617529880478e-19,-1.099601593625498e-19,-1.1035856573705179e-19,-1.107569721115538e-19,-1.1115537848605577e-19,-1.1155378486055777e-19,-1.1195219123505975e-19,-1.1235059760956175e-19,-1.1274900398406373e-19,-1.1314741035856573e-19,-1.1354581673306774e-19,-1.1394422310756972e-19,-1.1434262948207172e-19,-1.147410358565737e-19,-1.151394422310757e-19,-1.1553784860557768e-19,-1.1593625498007968e-19,-1.1633466135458166e-19,-1.1673306772908366e-19,-1.1713147410358564e-19,-1.1752988047808765e-19,-1.1792828685258965e-19,-1.1832669322709163e-19,-1.1872509960159363e-19,-1.191235059760956e-19,-1.1952191235059761e-19,-1.199203187250996e-19,-1.203187250996016e-19,-1.2071713147410357e-19,-1.2111553784860558e-19,-1.2151394422310756e-19,-1.2191235059760956e-19,-1.2231075697211156e-19,-1.2270916334661354e-19,-1.2310756972111554e-19,-1.2350597609561752e-19,-1.2390438247011952e-19,-1.243027888446215e-19,-1.247011952191235e-19,-1.2509960159362549e-19,-1.254980079681275e-19,-1.2589641434262947e-19,-1.2629482071713147e-19,-1.2669322709163347e-19,-1.2709163346613545e-19,-1.2749003984063746e-19,-1.2788844621513943e-19,-1.2828685258964144e-19,-1.2868525896414342e-19,-1.2908366533864542e-19,-1.294820717131474e-19,-1.298804780876494e-19,-1.3027888446215138e-19,-1.3067729083665338e-19,-1.3107569721115539e-19,-1.3147410358565736e-19,-1.3187250996015937e-19,-1.3227091633466135e-19,-1.3266932270916335e-19,-1.3306772908366533e-19,-1.3346613545816733e-19,-1.338645418326693e-19,-1.3426294820717131e-19,-1.346613545816733e-19,-1.350597609561753e-19,-1.354581673306773e-19,-1.3585657370517928e-19,-1.3625498007968128e-19,-1.3665338645418326e-19,-1.3705179282868526e-19,-1.3745019920318724e-19,-1.3784860557768924e-19,-1.3824701195219122e-19,-1.3864541832669323e-19,-1.390438247011952e-19,-1.394422310756972e-19,-1.398406374501992e-19,-1.402390438247012e-19,-1.406374501992032e-19,-1.4103585657370517e-19,-1.4143426294820717e-19,-1.4183266932270915e-19,-1.4223107569721116e-19,-1.4262948207171313e-19,-1.4302788844621514e-19,-1.4342629482071712e-19,-1.4382470119521912e-19,-1.4422310756972112e-19,-1.446215139442231e-19,-1.450199203187251e-19,-1.4541832669322708e-19,-1.4581673306772909e-19,-1.4621513944223106e-19,-1.4661354581673307e-19,-1.4701195219123505e-19,-1.4741035856573705e-19,-1.4780876494023903e-19,-1.4820717131474103e-19,-1.4860557768924303e-19,-1.4900398406374501e-19,-1.4940239043824702e-19,-1.49800796812749e-19,-1.50199203187251e-19,-1.5059760956175298e-19,-1.5099601593625498e-19,-1.5139442231075696e-19,-1.5179282868525896e-19,-1.5219123505976096e-19,-1.5258964143426294e-19,-1.5298804780876495e-19,-1.5338645418326693e-19,-1.5378486055776893e-19,-1.541832669322709e-19,-1.545816733067729e-19,-1.549800796812749e-19,-1.553784860557769e-19,-1.5577689243027887e-19,-1.5617529880478087e-19,-1.5657370517928288e-19,-1.5697211155378486e-19,-1.5737051792828686e-19,-1.5776892430278884e-19,-1.5816733067729084e-19,-1.5856573705179282e-19,-1.5896414342629482e-19,-1.593625498007968e-19,-1.597609561752988e-19,-1.6015936254980078e-19,-1.6055776892430279e-19,-1.609561752988048e-19,-1.6135458167330677e-19,-1.6175298804780877e-19,-1.6215139442231075e-19,-1.6254980079681275e-19,-1.6294820717131473e-19,-1.6334661354581673e-19,-1.6374501992031871e-19,-1.6414342629482072e-19,-1.645418326693227e-19,-1.649402390438247e-19,-1.653386454183267e-19,-1.6573705179282868e-19,-1.6613545816733068e-19,-1.6653386454183266e-19,-1.6693227091633466e-19,-1.6733067729083664e-19,-1.6772908366533865e-19,-1.6812749003984063e-19,-1.6852589641434263e-19,-1.689243027888446e-19,-1.693227091633466e-19,-1.6972111553784861e-19,-1.701195219123506e-19,-1.705179282868526e-19,-1.7091633466135457e-19,-1.7131474103585658e-19,-1.7171314741035856e-19,-1.7211155378486056e-19,-1.7250996015936254e-19,-1.7290836653386454e-19,-1.7330677290836652e-19,-1.7370517928286852e-19,-1.7410358565737053e-19,-1.745019920318725e-19,-1.749003984063745e-19,-1.7529880478087649e-19,-1.756972111553785e-19,-1.7609561752988047e-19,-1.7649402390438247e-19,-1.7689243027888445e-19,-1.7729083665338645e-19,-1.7768924302788843e-19,-1.7808764940239043e-19,-1.7848605577689244e-19,-1.7888446215139442e-19,-1.7928286852589642e-19,-1.796812749003984e-19,-1.800796812749004e-19,-1.8047808764940238e-19,-1.8087649402390438e-19,-1.8127490039840636e-19,-1.8167330677290836e-19,-1.8207171314741034e-19,-1.8247011952191235e-19,-1.8286852589641435e-19,-1.8326693227091633e-19,-1.8366533864541833e-19,-1.840637450199203e-19,-1.8446215139442231e-19,-1.848605577689243e-19,-1.852589641434263e-19,-1.8565737051792827e-19,-1.8605577689243028e-19,-1.8645418326693226e-19,-1.8685258964143426e-19,-1.8725099601593626e-19,-1.8764940239043824e-19,-1.8804780876494024e-19,-1.8844621513944222e-19,-1.8884462151394423e-19,-1.892430278884462e-19,-1.896414342629482e-19,-1.9003984063745019e-19,-1.904382470119522e-19,-1.9083665338645417e-19,-1.9123505976095617e-19,-1.9163346613545817e-19,-1.9203187250996015e-19,-1.9243027888446216e-19,-1.9282868525896413e-19,-1.9322709163346614e-19,-1.9362549800796812e-19,-1.9402390438247012e-19,-1.944223107569721e-19,-1.948207171314741e-19,-1.9521912350597608e-19,-1.9561752988047808e-19,-1.9601593625498009e-19,-1.9641434262948206e-19,-1.9681274900398407e-19,-1.9721115537848605e-19,-1.9760956175298805e-19,-1.9800796812749003e-19,-1.9840637450199203e-19,-1.98804780876494e-19,-1.9920318725099601e-19,-1.99601593625498e-19,-2.0e-19],"y":[-1.0e-19,-9.9800796812749e-20,-9.960159362549801e-20,-9.9402390438247e-20,-9.920318725099602e-20,-9.900398406374501e-20,-9.880478087649402e-20,-9.860557768924302e-20,-9.840637450199203e-20,-9.820717131474103e-20,-9.800796812749004e-20,-9.780876494023904e-20,-9.760956175298804e-20,-9.741035856573705e-20,-9.721115537848605e-20,-9.701195219123506e-20,-9.681274900398406e-20,-9.661354581673307e-20,-9.641434262948207e-20,-9.621513944223108e-20,-9.601593625498008e-20,-9.581673306772909e-20,-9.561752988047809e-20,-9.541832669322708e-20,-9.52191235059761e-20,-9.501992031872509e-20,-9.48207171314741e-20,-9.46215139442231e-20,-9.442231075697211e-20,-9.422310756972111e-20,-9.402390438247012e-20,-9.382470119521912e-20,-9.362549800796813e-20,-9.342629482071713e-20,-9.322709163346613e-20,-9.302788844621514e-20,-9.282868525896414e-20,-9.262948207171315e-20,-9.243027888446215e-20,-9.223107569721116e-20,-9.203187250996016e-20,-9.183266932270917e-20,-9.163346613545816e-20,-9.143426294820717e-20,-9.123505976095617e-20,-9.103585657370517e-20,-9.083665338645418e-20,-9.063745019920318e-20,-9.043824701195219e-20,-9.023904382470119e-20,-9.00398406374502e-20,-8.98406374501992e-20,-8.964143426294821e-20,-8.944223107569721e-20,-8.924302788844622e-20,-8.904382470119522e-20,-8.884462151394422e-20,-8.864541832669323e-20,-8.844621513944222e-20,-8.824701195219124e-20,-8.804780876494023e-20,-8.784860557768924e-20,-8.764940239043824e-20,-8.745019920318725e-20,-8.725099601593625e-20,-8.705179282868526e-20,-8.685258964143426e-20,-8.665338645418326e-20,-8.645418326693227e-20,-8.625498007968127e-20,-8.605577689243028e-20,-8.585657370517928e-20,-8.565737051792829e-20,-8.545816733067729e-20,-8.52589641434263e-20,-8.50597609561753e-20,-8.486055776892431e-20,-8.46613545816733e-20,-8.44621513944223e-20,-8.426294820717131e-20,-8.406374501992031e-20,-8.386454183266932e-20,-8.366533864541832e-20,-8.346613545816733e-20,-8.326693227091633e-20,-8.306772908366534e-20,-8.286852589641434e-20,-8.266932270916335e-20,-8.247011952191235e-20,-8.227091633466135e-20,-8.207171314741036e-20,-8.187250996015936e-20,-8.167330677290837e-20,-8.147410358565737e-20,-8.127490039840638e-20,-8.107569721115537e-20,-8.087649402390439e-20,-8.067729083665338e-20,-8.04780876494024e-20,-8.027888446215139e-20,-8.007968127490039e-20,-7.98804780876494e-20,-7.96812749003984e-20,-7.948207171314741e-20,-7.928286852589641e-20,-7.908366533864542e-20,-7.888446215139442e-20,-7.868525896414343e-20,-7.848605577689243e-20,-7.828685258964144e-20,-7.808764940239044e-20,-7.788844621513944e-20,-7.768924302788845e-20,-7.749003984063744e-20,-7.729083665338645e-20,-7.709163346613545e-20,-7.689243027888446e-20,-7.669322709163346e-20,-7.649402390438247e-20,-7.629482071713147e-20,-7.609561752988048e-20,-7.589641434262948e-20,-7.569721115537848e-20,-7.549800796812749e-20,-7.529880478087649e-20,-7.50996015936255e-20,-7.49003984063745e-20,-7.470119521912351e-20,-7.450199203187251e-20,-7.430278884462152e-20,-7.410358565737052e-20,-7.390438247011951e-20,-7.370517928286852e-20,-7.350597609561752e-20,-7.330677290836653e-20,-7.310756972111553e-20,-7.290836653386454e-20,-7.270916334661354e-20,-7.250996015936255e-20,-7.231075697211155e-20,-7.211155378486056e-20,-7.191235059760956e-20,-7.171314741035856e-20,-7.151394422310757e-20,-7.131474103585657e-20,-7.111553784860558e-20,-7.091633466135458e-20,-7.071713147410359e-20,-7.051792828685259e-20,-7.03187250996016e-20,-7.01195219123506e-20,-6.99203187250996e-20,-6.97211155378486e-20,-6.95219123505976e-20,-6.932270916334661e-20,-6.912350597609561e-20,-6.892430278884462e-20,-6.872509960159362e-20,-6.852589641434263e-20,-6.832669322709163e-20,-6.812749003984064e-20,-6.792828685258964e-20,-6.772908366533865e-20,-6.752988047808765e-20,-6.733067729083665e-20,-6.713147410358566e-20,-6.693227091633465e-20,-6.673306772908367e-20,-6.653386454183266e-20,-6.633466135458167e-20,-6.613545816733067e-20,-6.593625498007968e-20,-6.573705179282868e-20,-6.553784860557769e-20,-6.533864541832669e-20,-6.513944223107569e-20,-6.49402390438247e-20,-6.47410358565737e-20,-6.454183266932271e-20,-6.434262948207171e-20,-6.414342629482072e-20,-6.394422310756972e-20,-6.374501992031873e-20,-6.354581673306773e-20,-6.334661354581674e-20,-6.314741035856574e-20,-6.294820717131473e-20,-6.274900398406374e-20,-6.254980079681274e-20,-6.235059760956175e-20,-6.215139442231075e-20,-6.195219123505976e-20,-6.175298804780876e-20,-6.155378486055777e-20,-6.135458167330677e-20,-6.115537848605578e-20,-6.095617529880478e-20,-6.075697211155378e-20,-6.055776892430279e-20,-6.035856573705179e-20,-6.01593625498008e-20,-5.99601593625498e-20,-5.976095617529881e-20,-5.95617529880478e-20,-5.936254980079682e-20,-5.916334661354581e-20,-5.896414342629482e-20,-5.876494023904382e-20,-5.856573705179282e-20,-5.836653386454183e-20,-5.816733067729083e-20,-5.796812749003984e-20,-5.776892430278884e-20,-5.756972111553785e-20,-5.737051792828685e-20,-5.717131474103586e-20,-5.697211155378486e-20,-5.677290836653387e-20,-5.657370517928287e-20,-5.637450199203187e-20,-5.617529880478088e-20,-5.597609561752987e-20,-5.577689243027889e-20,-5.557768924302788e-20,-5.53784860557769e-20,-5.517928286852589e-20,-5.49800796812749e-20,-5.47808764940239e-20,-5.458167330677291e-20,-5.438247011952191e-20,-5.4183266932270915e-20,-5.398406374501992e-20,-5.3784860557768925e-20,-5.358565737051793e-20,-5.3386454183266934e-20,-5.318725099601593e-20,-5.2988047808764937e-20,-5.278884462151394e-20,-5.2589641434262946e-20,-5.239043824701195e-20,-5.2191235059760955e-20,-5.199203187250996e-20,-5.1792828685258964e-20,-5.159362549800797e-20,-5.139442231075697e-20,-5.119521912350598e-20,-5.0996015936254976e-20,-5.079681274900398e-20,-5.0597609561752985e-20,-5.039840637450199e-20,-5.0199203187250994e-20,-5.0e-20,-4.9800796812749003e-20,-4.960159362549801e-20,-4.940239043824701e-20,-4.9203187250996017e-20,-4.900398406374502e-20,-4.880478087649402e-20,-4.8605577689243025e-20,-4.840637450199203e-20,-4.8207171314741034e-20,-4.800796812749004e-20,-4.780876494023904e-20,-4.760956175298805e-20,-4.741035856573705e-20,-4.7211155378486056e-20,-4.701195219123506e-20,-4.6812749003984065e-20,-4.6613545816733064e-20,-4.641434262948207e-20,-4.621513944223107e-20,-4.601593625498008e-20,-4.581673306772908e-20,-4.5617529880478087e-20,-4.541832669322709e-20,-4.5219123505976096e-20,-4.50199203187251e-20,-4.4820717131474105e-20,-4.462151394422311e-20,-4.442231075697211e-20,-4.422310756972111e-20,-4.4023904382470117e-20,-4.382470119521912e-20,-4.3625498007968126e-20,-4.342629482071713e-20,-4.3227091633466135e-20,-4.302788844621514e-20,-4.2828685258964144e-20,-4.262948207171315e-20,-4.2430278884462153e-20,-4.223107569721115e-20,-4.2031872509960156e-20,-4.183266932270916e-20,-4.1633466135458165e-20,-4.143426294820717e-20,-4.1235059760956174e-20,-4.103585657370518e-20,-4.0836653386454184e-20,-4.063745019920319e-20,-4.043824701195219e-20,-4.02390438247012e-20,-4.0039840637450196e-20,-3.98406374501992e-20,-3.9641434262948205e-20,-3.944223107569721e-20,-3.9243027888446214e-20,-3.904382470119522e-20,-3.884462151394422e-20,-3.864541832669323e-20,-3.844621513944223e-20,-3.8247011952191237e-20,-3.804780876494024e-20,-3.784860557768924e-20,-3.7649402390438244e-20,-3.745019920318725e-20,-3.7250996015936253e-20,-3.705179282868526e-20,-3.685258964143426e-20,-3.6653386454183267e-20,-3.645418326693227e-20,-3.6254980079681276e-20,-3.605577689243028e-20,-3.585657370517928e-20,-3.5657370517928284e-20,-3.545816733067729e-20,-3.525896414342629e-20,-3.50597609561753e-20,-3.48605577689243e-20,-3.4661354581673306e-20,-3.446215139442231e-20,-3.4262948207171315e-20,-3.406374501992032e-20,-3.3864541832669324e-20,-3.366533864541832e-20,-3.346613545816733e-20,-3.326693227091633e-20,-3.3067729083665337e-20,-3.286852589641434e-20,-3.2669322709163346e-20,-3.247011952191235e-20,-3.2270916334661355e-20,-3.207171314741036e-20,-3.1872509960159364e-20,-3.167330677290837e-20,-3.1474103585657367e-20,-3.127490039840637e-20,-3.1075697211155376e-20,-3.087649402390438e-20,-3.0677290836653385e-20,-3.047808764940239e-20,-3.0278884462151394e-20,-3.00796812749004e-20,-2.9880478087649403e-20,-2.968127490039841e-20,-2.948207171314741e-20,-2.928286852589641e-20,-2.9083665338645415e-20,-2.888446215139442e-20,-2.8685258964143424e-20,-2.848605577689243e-20,-2.8286852589641433e-20,-2.808764940239044e-20,-2.788844621513944e-20,-2.768924302788845e-20,-2.749003984063745e-20,-2.7290836653386456e-20,-2.7091633466135458e-20,-2.6892430278884462e-20,-2.6693227091633467e-20,-2.6494023904382468e-20,-2.6294820717131473e-20,-2.6095617529880477e-20,-2.5896414342629482e-20,-2.5697211155378486e-20,-2.5498007968127488e-20,-2.5298804780876493e-20,-2.5099601593625497e-20,-2.4900398406374502e-20,-2.4701195219123506e-20,-2.450199203187251e-20,-2.4302788844621512e-20,-2.4103585657370517e-20,-2.390438247011952e-20,-2.3705179282868526e-20,-2.350597609561753e-20,-2.3306772908366532e-20,-2.3107569721115536e-20,-2.290836653386454e-20,-2.2709163346613546e-20,-2.250996015936255e-20,-2.2310756972111555e-20,-2.2111553784860556e-20,-2.191235059760956e-20,-2.1713147410358565e-20,-2.151394422310757e-20,-2.1314741035856574e-20,-2.1115537848605576e-20,-2.091633466135458e-20,-2.0717131474103585e-20,-2.051792828685259e-20,-2.0318725099601594e-20,-2.01195219123506e-20,-1.99203187250996e-20,-1.9721115537848605e-20,-1.952191235059761e-20,-1.9322709163346614e-20,-1.9123505976095618e-20,-1.892430278884462e-20,-1.8725099601593624e-20,-1.852589641434263e-20,-1.8326693227091633e-20,-1.8127490039840638e-20,-1.792828685258964e-20,-1.7729083665338644e-20,-1.752988047808765e-20,-1.7330677290836653e-20,-1.7131474103585658e-20,-1.6932270916334662e-20,-1.6733067729083664e-20,-1.6533864541832668e-20,-1.6334661354581673e-20,-1.6135458167330677e-20,-1.5936254980079682e-20,-1.5737051792828683e-20,-1.5537848605577688e-20,-1.5338645418326693e-20,-1.5139442231075697e-20,-1.4940239043824702e-20,-1.4741035856573706e-20,-1.4541832669322708e-20,-1.4342629482071712e-20,-1.4143426294820717e-20,-1.394422310756972e-20,-1.3745019920318726e-20,-1.3545816733067729e-20,-1.3346613545816733e-20,-1.3147410358565736e-20,-1.2948207171314741e-20,-1.2749003984063744e-20,-1.2549800796812749e-20,-1.2350597609561753e-20,-1.2151394422310756e-20,-1.195219123505976e-20,-1.1752988047808765e-20,-1.1553784860557768e-20,-1.1354581673306773e-20,-1.1155378486055777e-20,-1.095617529880478e-20,-1.0756972111553785e-20,-1.0557768924302788e-20,-1.0358565737051792e-20,-1.0159362549800797e-20,-9.9601593625498e-21,-9.760956175298805e-21,-9.561752988047809e-21,-9.362549800796812e-21,-9.163346613545817e-21,-8.96414342629482e-21,-8.764940239043824e-21,-8.565737051792829e-21,-8.366533864541832e-21,-8.167330677290836e-21,-7.968127490039841e-21,-7.768924302788844e-21,-7.569721115537849e-21,-7.370517928286853e-21,-7.171314741035856e-21,-6.97211155378486e-21,-6.7729083665338644e-21,-6.573705179282868e-21,-6.374501992031872e-21,-6.1752988047808765e-21,-5.97609561752988e-21,-5.776892430278884e-21,-5.577689243027889e-21,-5.3784860557768925e-21,-5.179282868525896e-21,-4.9800796812749e-21,-4.7808764940239046e-21,-4.581673306772908e-21,-4.382470119521912e-21,-4.183266932270916e-21,-3.9840637450199205e-21,-3.784860557768924e-21,-3.585657370517928e-21,-3.3864541832669322e-21,-3.187250996015936e-21,-2.98804780876494e-21,-2.7888446215139443e-21,-2.589641434262948e-21,-2.3904382470119523e-21,-2.191235059760956e-21,-1.9920318725099602e-21,-1.792828685258964e-21,-1.593625498007968e-21,-1.3944223107569722e-21,-1.1952191235059761e-21,-9.960159362549801e-22,-7.96812749003984e-22,-5.976095617529881e-22,-3.98406374501992e-22,-1.99203187250996e-22,0.0]} diff --git a/lib/node_modules/@stdlib/ml/base/loss/float64/epsilon-insensitive-gradient/test/fixtures/julia/tiny_positive.json b/lib/node_modules/@stdlib/ml/base/loss/float64/epsilon-insensitive-gradient/test/fixtures/julia/tiny_positive.json new file mode 100644 index 000000000000..42ee13cd0796 --- /dev/null +++ b/lib/node_modules/@stdlib/ml/base/loss/float64/epsilon-insensitive-gradient/test/fixtures/julia/tiny_positive.json @@ -0,0 +1 @@ +{"e":[0.0,9.9601593625498e-23,1.99203187250996e-22,2.9880478087649404e-22,3.98406374501992e-22,4.980079681274901e-22,5.976095617529881e-22,6.972111553784861e-22,7.96812749003984e-22,8.96414342629482e-22,9.960159362549801e-22,1.095617529880478e-21,1.1952191235059761e-21,1.294820717131474e-21,1.3944223107569722e-21,1.49402390438247e-21,1.593625498007968e-21,1.6932270916334661e-21,1.792828685258964e-21,1.892430278884462e-21,1.9920318725099602e-21,2.091633466135458e-21,2.191235059760956e-21,2.290836653386454e-21,2.3904382470119523e-21,2.49003984063745e-21,2.589641434262948e-21,2.6892430278884462e-21,2.7888446215139443e-21,2.888446215139442e-21,2.98804780876494e-21,3.0876494023904383e-21,3.187250996015936e-21,3.286852589641434e-21,3.3864541832669322e-21,3.48605577689243e-21,3.585657370517928e-21,3.6852589641434265e-21,3.784860557768924e-21,3.884462151394422e-21,3.9840637450199205e-21,4.083665338645418e-21,4.183266932270916e-21,4.2828685258964144e-21,4.382470119521912e-21,4.48207171314741e-21,4.581673306772908e-21,4.681274900398406e-21,4.7808764940239046e-21,4.880478087649402e-21,4.9800796812749e-21,5.0796812749003985e-21,5.179282868525896e-21,5.278884462151394e-21,5.3784860557768925e-21,5.47808764940239e-21,5.577689243027889e-21,5.6772908366533864e-21,5.776892430278884e-21,5.8764940239043826e-21,5.97609561752988e-21,6.075697211155378e-21,6.1752988047808765e-21,6.274900398406374e-21,6.374501992031872e-21,6.4741035856573705e-21,6.573705179282868e-21,6.673306772908367e-21,6.7729083665338644e-21,6.872509960159363e-21,6.97211155378486e-21,7.071713147410358e-21,7.171314741035856e-21,7.270916334661354e-21,7.370517928286853e-21,7.470119521912351e-21,7.569721115537849e-21,7.669322709163346e-21,7.768924302788844e-21,7.868525896414342e-21,7.968127490039841e-21,8.067729083665339e-21,8.167330677290836e-21,8.266932270916334e-21,8.366533864541832e-21,8.466135458167331e-21,8.565737051792829e-21,8.665338645418327e-21,8.764940239043824e-21,8.864541832669322e-21,8.96414342629482e-21,9.063745019920319e-21,9.163346613545817e-21,9.262948207171314e-21,9.362549800796812e-21,9.46215139442231e-21,9.561752988047809e-21,9.661354581673307e-21,9.760956175298805e-21,9.860557768924302e-21,9.9601593625498e-21,1.00597609561753e-20,1.0159362549800797e-20,1.0258964143426295e-20,1.0358565737051792e-20,1.045816733067729e-20,1.0557768924302788e-20,1.0657370517928287e-20,1.0756972111553785e-20,1.0856573705179283e-20,1.095617529880478e-20,1.1055776892430278e-20,1.1155378486055777e-20,1.1254980079681275e-20,1.1354581673306773e-20,1.145418326693227e-20,1.1553784860557768e-20,1.1653386454183266e-20,1.1752988047808765e-20,1.1852589641434263e-20,1.195219123505976e-20,1.2051792828685258e-20,1.2151394422310756e-20,1.2250996015936255e-20,1.2350597609561753e-20,1.2450199203187251e-20,1.2549800796812749e-20,1.2649402390438246e-20,1.2749003984063744e-20,1.2848605577689243e-20,1.2948207171314741e-20,1.3047808764940239e-20,1.3147410358565736e-20,1.3247011952191234e-20,1.3346613545816733e-20,1.3446215139442231e-20,1.3545816733067729e-20,1.3645418326693228e-20,1.3745019920318726e-20,1.3844621513944224e-20,1.394422310756972e-20,1.404382470119522e-20,1.4143426294820717e-20,1.4243027888446214e-20,1.4342629482071712e-20,1.444223107569721e-20,1.4541832669322708e-20,1.4641434262948205e-20,1.4741035856573706e-20,1.4840637450199204e-20,1.4940239043824702e-20,1.50398406374502e-20,1.5139442231075697e-20,1.5239043824701195e-20,1.5338645418326693e-20,1.543824701195219e-20,1.5537848605577688e-20,1.5637450199203186e-20,1.5737051792828683e-20,1.5836653386454184e-20,1.5936254980079682e-20,1.603585657370518e-20,1.6135458167330677e-20,1.6235059760956175e-20,1.6334661354581673e-20,1.643426294820717e-20,1.6533864541832668e-20,1.6633466135458166e-20,1.6733067729083664e-20,1.683266932270916e-20,1.6932270916334662e-20,1.703187250996016e-20,1.7131474103585658e-20,1.7231075697211155e-20,1.7330677290836653e-20,1.743027888446215e-20,1.752988047808765e-20,1.7629482071713146e-20,1.7729083665338644e-20,1.7828685258964142e-20,1.792828685258964e-20,1.802788844621514e-20,1.8127490039840638e-20,1.8227091633466136e-20,1.8326693227091633e-20,1.842629482071713e-20,1.852589641434263e-20,1.8625498007968127e-20,1.8725099601593624e-20,1.8824701195219122e-20,1.892430278884462e-20,1.902390438247012e-20,1.9123505976095618e-20,1.9223107569721116e-20,1.9322709163346614e-20,1.942231075697211e-20,1.952191235059761e-20,1.9621513944223107e-20,1.9721115537848605e-20,1.9820717131474102e-20,1.99203187250996e-20,2.0019920318725098e-20,2.01195219123506e-20,2.0219123505976096e-20,2.0318725099601594e-20,2.0418326693227092e-20,2.051792828685259e-20,2.0617529880478087e-20,2.0717131474103585e-20,2.0816733067729083e-20,2.091633466135458e-20,2.1015936254980078e-20,2.1115537848605576e-20,2.1215139442231077e-20,2.1314741035856574e-20,2.1414342629482072e-20,2.151394422310757e-20,2.1613545816733068e-20,2.1713147410358565e-20,2.1812749003984063e-20,2.191235059760956e-20,2.2011952191235058e-20,2.2111553784860556e-20,2.2211155378486054e-20,2.2310756972111555e-20,2.2410358565737052e-20,2.250996015936255e-20,2.2609561752988048e-20,2.2709163346613546e-20,2.2808764940239043e-20,2.290836653386454e-20,2.300796812749004e-20,2.3107569721115536e-20,2.3207171314741034e-20,2.3306772908366532e-20,2.3406374501992033e-20,2.350597609561753e-20,2.3605577689243028e-20,2.3705179282868526e-20,2.3804780876494024e-20,2.390438247011952e-20,2.400398406374502e-20,2.4103585657370517e-20,2.4203187250996015e-20,2.4302788844621512e-20,2.440239043824701e-20,2.450199203187251e-20,2.4601593625498008e-20,2.4701195219123506e-20,2.4800796812749004e-20,2.4900398406374502e-20,2.5e-20,2.5099601593625497e-20,2.5199203187250995e-20,2.5298804780876493e-20,2.539840637450199e-20,2.5498007968127488e-20,2.559760956175299e-20,2.5697211155378486e-20,2.5796812749003984e-20,2.5896414342629482e-20,2.599601593625498e-20,2.6095617529880477e-20,2.6195219123505975e-20,2.6294820717131473e-20,2.639442231075697e-20,2.6494023904382468e-20,2.6593625498007966e-20,2.6693227091633467e-20,2.6792828685258965e-20,2.6892430278884462e-20,2.699203187250996e-20,2.7091633466135458e-20,2.7191235059760955e-20,2.7290836653386456e-20,2.739043824701195e-20,2.749003984063745e-20,2.7589641434262946e-20,2.768924302788845e-20,2.778884462151394e-20,2.788844621513944e-20,2.798804780876494e-20,2.808764940239044e-20,2.818725099601593e-20,2.8286852589641433e-20,2.8386454183266934e-20,2.848605577689243e-20,2.858565737051793e-20,2.8685258964143424e-20,2.8784860557768925e-20,2.888446215139442e-20,2.898406374501992e-20,2.9083665338645415e-20,2.9183266932270916e-20,2.928286852589641e-20,2.938247011952191e-20,2.948207171314741e-20,2.9581673306772907e-20,2.968127490039841e-20,2.97808764940239e-20,2.9880478087649403e-20,2.99800796812749e-20,3.00796812749004e-20,3.0179282868525893e-20,3.0278884462151394e-20,3.037848605577689e-20,3.047808764940239e-20,3.057768924302789e-20,3.0677290836653385e-20,3.0776892430278886e-20,3.087649402390438e-20,3.097609561752988e-20,3.1075697211155376e-20,3.1175298804780877e-20,3.127490039840637e-20,3.137450199203187e-20,3.1474103585657367e-20,3.157370517928287e-20,3.167330677290837e-20,3.1772908366533863e-20,3.1872509960159364e-20,3.197211155378486e-20,3.207171314741036e-20,3.2171314741035854e-20,3.2270916334661355e-20,3.237051792828685e-20,3.247011952191235e-20,3.2569721115537845e-20,3.2669322709163346e-20,3.2768924302788846e-20,3.286852589641434e-20,3.296812749003984e-20,3.3067729083665337e-20,3.316733067729084e-20,3.326693227091633e-20,3.336653386454183e-20,3.346613545816733e-20,3.356573705179283e-20,3.366533864541832e-20,3.3764940239043824e-20,3.3864541832669324e-20,3.396414342629482e-20,3.406374501992032e-20,3.4163346613545815e-20,3.4262948207171315e-20,3.436254980079681e-20,3.446215139442231e-20,3.4561752988047806e-20,3.4661354581673306e-20,3.47609561752988e-20,3.48605577689243e-20,3.49601593625498e-20,3.50597609561753e-20,3.51593625498008e-20,3.525896414342629e-20,3.5358565737051793e-20,3.545816733067729e-20,3.555776892430279e-20,3.5657370517928284e-20,3.5756972111553784e-20,3.585657370517928e-20,3.595617529880478e-20,3.605577689243028e-20,3.6155378486055775e-20,3.6254980079681276e-20,3.635458167330677e-20,3.645418326693227e-20,3.6553784860557766e-20,3.6653386454183267e-20,3.675298804780876e-20,3.685258964143426e-20,3.695219123505976e-20,3.705179282868526e-20,3.715139442231076e-20,3.7250996015936253e-20,3.7350597609561754e-20,3.745019920318725e-20,3.754980079681275e-20,3.7649402390438244e-20,3.7749003984063745e-20,3.784860557768924e-20,3.794820717131474e-20,3.804780876494024e-20,3.8147410358565736e-20,3.8247011952191237e-20,3.834661354581673e-20,3.844621513944223e-20,3.8545816733067727e-20,3.864541832669323e-20,3.874501992031872e-20,3.884462151394422e-20,3.894422310756972e-20,3.904382470119522e-20,3.914342629482072e-20,3.9243027888446214e-20,3.9342629482071715e-20,3.944223107569721e-20,3.954183266932271e-20,3.9641434262948205e-20,3.9741035856573706e-20,3.98406374501992e-20,3.99402390438247e-20,4.0039840637450196e-20,4.0139442231075696e-20,4.02390438247012e-20,4.033864541832669e-20,4.043824701195219e-20,4.053784860557769e-20,4.063745019920319e-20,4.073705179282868e-20,4.0836653386454184e-20,4.093625498007968e-20,4.103585657370518e-20,4.1135458167330674e-20,4.1235059760956174e-20,4.1334661354581675e-20,4.143426294820717e-20,4.153386454183267e-20,4.1633466135458165e-20,4.1733067729083666e-20,4.183266932270916e-20,4.193227091633466e-20,4.2031872509960156e-20,4.213147410358566e-20,4.223107569721115e-20,4.233067729083665e-20,4.2430278884462153e-20,4.252988047808765e-20,4.262948207171315e-20,4.2729083665338643e-20,4.2828685258964144e-20,4.292828685258964e-20,4.302788844621514e-20,4.3127490039840634e-20,4.3227091633466135e-20,4.332669322709163e-20,4.342629482071713e-20,4.352589641434263e-20,4.3625498007968126e-20,4.3725099601593627e-20,4.382470119521912e-20,4.392430278884462e-20,4.4023904382470117e-20,4.412350597609562e-20,4.422310756972111e-20,4.4322709163346613e-20,4.442231075697211e-20,4.452191235059761e-20,4.462151394422311e-20,4.4721115537848604e-20,4.4820717131474105e-20,4.49203187250996e-20,4.50199203187251e-20,4.5119521912350595e-20,4.5219123505976096e-20,4.531872509960159e-20,4.541832669322709e-20,4.5517928286852586e-20,4.5617529880478087e-20,4.571713147410359e-20,4.581673306772908e-20,4.591633466135458e-20,4.601593625498008e-20,4.611553784860558e-20,4.621513944223107e-20,4.6314741035856574e-20,4.641434262948207e-20,4.651394422310757e-20,4.6613545816733064e-20,4.6713147410358565e-20,4.6812749003984065e-20,4.691235059760956e-20,4.701195219123506e-20,4.7111553784860556e-20,4.7211155378486056e-20,4.731075697211155e-20,4.741035856573705e-20,4.7509960159362546e-20,4.760956175298805e-20,4.770916334661354e-20,4.780876494023904e-20,4.7908366533864543e-20,4.800796812749004e-20,4.810756972111554e-20,4.8207171314741034e-20,4.8306772908366534e-20,4.840637450199203e-20,4.850597609561753e-20,4.8605577689243025e-20,4.8705179282868525e-20,4.880478087649402e-20,4.890438247011952e-20,4.900398406374502e-20,4.9103585657370516e-20,4.9203187250996017e-20,4.930278884462151e-20,4.940239043824701e-20,4.950199203187251e-20,4.960159362549801e-20,4.97011952191235e-20,4.9800796812749003e-20,4.99003984063745e-20,5.0e-20],"expected":[0.0,3.98406374501992e-22,7.96812749003984e-22,1.1952191235059761e-21,1.593625498007968e-21,1.9920318725099602e-21,2.3904382470119523e-21,2.7888446215139443e-21,3.187250996015936e-21,3.585657370517928e-21,3.9840637450199205e-21,4.382470119521912e-21,4.7808764940239046e-21,5.179282868525896e-21,5.577689243027889e-21,5.97609561752988e-21,6.374501992031872e-21,6.7729083665338644e-21,7.171314741035856e-21,7.569721115537849e-21,7.968127490039841e-21,8.366533864541832e-21,8.764940239043824e-21,9.163346613545817e-21,9.561752988047809e-21,9.9601593625498e-21,1.0358565737051792e-20,1.0756972111553785e-20,1.1155378486055777e-20,1.1553784860557768e-20,1.195219123505976e-20,1.2350597609561753e-20,1.2749003984063744e-20,1.3147410358565736e-20,1.3545816733067729e-20,1.394422310756972e-20,1.4342629482071712e-20,1.4741035856573706e-20,1.5139442231075697e-20,1.5537848605577688e-20,1.5936254980079682e-20,1.6334661354581673e-20,1.6733067729083664e-20,1.7131474103585658e-20,1.752988047808765e-20,1.792828685258964e-20,1.8326693227091633e-20,1.8725099601593624e-20,1.9123505976095618e-20,1.952191235059761e-20,1.99203187250996e-20,2.0318725099601594e-20,2.0717131474103585e-20,2.1115537848605576e-20,2.151394422310757e-20,2.191235059760956e-20,2.2310756972111555e-20,2.2709163346613546e-20,2.3107569721115536e-20,2.350597609561753e-20,2.390438247011952e-20,2.4302788844621512e-20,2.4701195219123506e-20,2.5099601593625497e-20,2.5498007968127488e-20,2.5896414342629482e-20,2.6294820717131473e-20,2.6693227091633467e-20,2.7091633466135458e-20,2.749003984063745e-20,2.788844621513944e-20,2.8286852589641433e-20,2.8685258964143424e-20,2.9083665338645415e-20,2.948207171314741e-20,2.9880478087649403e-20,3.0278884462151394e-20,3.0677290836653385e-20,3.1075697211155376e-20,3.1474103585657367e-20,3.1872509960159364e-20,3.2270916334661355e-20,3.2669322709163346e-20,3.3067729083665337e-20,3.346613545816733e-20,3.3864541832669324e-20,3.4262948207171315e-20,3.4661354581673306e-20,3.50597609561753e-20,3.545816733067729e-20,3.585657370517928e-20,3.6254980079681276e-20,3.6653386454183267e-20,3.705179282868526e-20,3.745019920318725e-20,3.784860557768924e-20,3.8247011952191237e-20,3.864541832669323e-20,3.904382470119522e-20,3.944223107569721e-20,3.98406374501992e-20,4.02390438247012e-20,4.063745019920319e-20,4.103585657370518e-20,4.143426294820717e-20,4.183266932270916e-20,4.223107569721115e-20,4.262948207171315e-20,4.302788844621514e-20,4.342629482071713e-20,4.382470119521912e-20,4.422310756972111e-20,4.462151394422311e-20,4.50199203187251e-20,4.541832669322709e-20,4.581673306772908e-20,4.621513944223107e-20,4.6613545816733064e-20,4.701195219123506e-20,4.741035856573705e-20,4.780876494023904e-20,4.8207171314741034e-20,4.8605577689243025e-20,4.900398406374502e-20,4.940239043824701e-20,4.9800796812749003e-20,5.0199203187250994e-20,5.0597609561752985e-20,5.0996015936254976e-20,5.139442231075697e-20,5.1792828685258964e-20,5.2191235059760955e-20,5.2589641434262946e-20,5.2988047808764937e-20,5.3386454183266934e-20,5.3784860557768925e-20,5.4183266932270915e-20,5.458167330677291e-20,5.49800796812749e-20,5.53784860557769e-20,5.577689243027889e-20,5.617529880478088e-20,5.657370517928287e-20,5.697211155378486e-20,5.737051792828685e-20,5.776892430278884e-20,5.816733067729083e-20,5.856573705179282e-20,5.896414342629482e-20,5.936254980079682e-20,5.976095617529881e-20,6.01593625498008e-20,6.055776892430279e-20,6.095617529880478e-20,6.135458167330677e-20,6.175298804780876e-20,6.215139442231075e-20,6.254980079681274e-20,6.294820717131473e-20,6.334661354581674e-20,6.374501992031873e-20,6.414342629482072e-20,6.454183266932271e-20,6.49402390438247e-20,6.533864541832669e-20,6.573705179282868e-20,6.613545816733067e-20,6.653386454183266e-20,6.693227091633465e-20,6.733067729083665e-20,6.772908366533865e-20,6.812749003984064e-20,6.852589641434263e-20,6.892430278884462e-20,6.932270916334661e-20,6.97211155378486e-20,7.01195219123506e-20,7.051792828685259e-20,7.091633466135458e-20,7.131474103585657e-20,7.171314741035856e-20,7.211155378486056e-20,7.250996015936255e-20,7.290836653386454e-20,7.330677290836653e-20,7.370517928286852e-20,7.410358565737052e-20,7.450199203187251e-20,7.49003984063745e-20,7.529880478087649e-20,7.569721115537848e-20,7.609561752988048e-20,7.649402390438247e-20,7.689243027888446e-20,7.729083665338645e-20,7.768924302788845e-20,7.808764940239044e-20,7.848605577689243e-20,7.888446215139442e-20,7.928286852589641e-20,7.96812749003984e-20,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,-1.3346613545816733e-19,-1.338645418326693e-19,-1.3426294820717131e-19,-1.346613545816733e-19,-1.350597609561753e-19,-1.354581673306773e-19,-1.3585657370517928e-19,-1.3625498007968128e-19,-1.3665338645418326e-19,-1.3705179282868526e-19,-1.3745019920318724e-19,-1.3784860557768924e-19,-1.3824701195219122e-19,-1.3864541832669323e-19,-1.390438247011952e-19,-1.394422310756972e-19,-1.398406374501992e-19,-1.402390438247012e-19,-1.406374501992032e-19,-1.4103585657370517e-19,-1.4143426294820717e-19,-1.4183266932270915e-19,-1.4223107569721116e-19,-1.4262948207171313e-19,-1.4302788844621514e-19,-1.4342629482071712e-19,-1.4382470119521912e-19,-1.4422310756972112e-19,-1.446215139442231e-19,-1.450199203187251e-19,-1.4541832669322708e-19,-1.4581673306772909e-19,-1.4621513944223106e-19,-1.4661354581673307e-19,-1.4701195219123505e-19,-1.4741035856573705e-19,-1.4780876494023903e-19,-1.4820717131474103e-19,-1.4860557768924303e-19,-1.4900398406374501e-19,-1.4940239043824702e-19,-1.49800796812749e-19,-1.50199203187251e-19,-1.5059760956175298e-19,-1.5099601593625498e-19,-1.5139442231075696e-19,-1.5179282868525896e-19,-1.5219123505976096e-19,-1.5258964143426294e-19,-1.5298804780876495e-19,-1.5338645418326693e-19,-1.5378486055776893e-19,-1.541832669322709e-19,-1.545816733067729e-19,-1.549800796812749e-19,-1.553784860557769e-19,-1.5577689243027887e-19,-1.5617529880478087e-19,-1.5657370517928288e-19,-1.5697211155378486e-19,-1.5737051792828686e-19,-1.5776892430278884e-19,-1.5816733067729084e-19,-1.5856573705179282e-19,-1.5896414342629482e-19,-1.593625498007968e-19,-1.597609561752988e-19,-1.6015936254980078e-19,-1.6055776892430279e-19,-1.609561752988048e-19,-1.6135458167330677e-19,-1.6175298804780877e-19,-1.6215139442231075e-19,-1.6254980079681275e-19,-1.6294820717131473e-19,-1.6334661354581673e-19,-1.6374501992031871e-19,-1.6414342629482072e-19,-1.645418326693227e-19,-1.649402390438247e-19,-1.653386454183267e-19,-1.6573705179282868e-19,-1.6613545816733068e-19,-1.6653386454183266e-19,-1.6693227091633466e-19,-1.6733067729083664e-19,-1.6772908366533865e-19,-1.6812749003984063e-19,-1.6852589641434263e-19,-1.689243027888446e-19,-1.693227091633466e-19,-1.6972111553784861e-19,-1.701195219123506e-19,-1.705179282868526e-19,-1.7091633466135457e-19,-1.7131474103585658e-19,-1.7171314741035856e-19,-1.7211155378486056e-19,-1.7250996015936254e-19,-1.7290836653386454e-19,-1.7330677290836652e-19,-1.7370517928286852e-19,-1.7410358565737053e-19,-1.745019920318725e-19,-1.749003984063745e-19,-1.7529880478087649e-19,-1.756972111553785e-19,-1.7609561752988047e-19,-1.7649402390438247e-19,-1.7689243027888445e-19,-1.7729083665338645e-19,-1.7768924302788843e-19,-1.7808764940239043e-19,-1.7848605577689244e-19,-1.7888446215139442e-19,-1.7928286852589642e-19,-1.796812749003984e-19,-1.800796812749004e-19,-1.8047808764940238e-19,-1.8087649402390438e-19,-1.8127490039840636e-19,-1.8167330677290836e-19,-1.8207171314741034e-19,-1.8247011952191235e-19,-1.8286852589641435e-19,-1.8326693227091633e-19,-1.8366533864541833e-19,-1.840637450199203e-19,-1.8446215139442231e-19,-1.848605577689243e-19,-1.852589641434263e-19,-1.8565737051792827e-19,-1.8605577689243028e-19,-1.8645418326693226e-19,-1.8685258964143426e-19,-1.8725099601593626e-19,-1.8764940239043824e-19,-1.8804780876494024e-19,-1.8844621513944222e-19,-1.8884462151394423e-19,-1.892430278884462e-19,-1.896414342629482e-19,-1.9003984063745019e-19,-1.904382470119522e-19,-1.9083665338645417e-19,-1.9123505976095617e-19,-1.9163346613545817e-19,-1.9203187250996015e-19,-1.9243027888446216e-19,-1.9282868525896413e-19,-1.9322709163346614e-19,-1.9362549800796812e-19,-1.9402390438247012e-19,-1.944223107569721e-19,-1.948207171314741e-19,-1.9521912350597608e-19,-1.9561752988047808e-19,-1.9601593625498009e-19,-1.9641434262948206e-19,-1.9681274900398407e-19,-1.9721115537848605e-19,-1.9760956175298805e-19,-1.9800796812749003e-19,-1.9840637450199203e-19,-1.98804780876494e-19,-1.9920318725099601e-19,-1.99601593625498e-19,-2.0e-19],"p":[1.0e-19,9.9800796812749e-20,9.960159362549801e-20,9.9402390438247e-20,9.920318725099602e-20,9.900398406374501e-20,9.880478087649402e-20,9.860557768924302e-20,9.840637450199203e-20,9.820717131474103e-20,9.800796812749004e-20,9.780876494023904e-20,9.760956175298804e-20,9.741035856573705e-20,9.721115537848605e-20,9.701195219123506e-20,9.681274900398406e-20,9.661354581673307e-20,9.641434262948207e-20,9.621513944223108e-20,9.601593625498008e-20,9.581673306772909e-20,9.561752988047809e-20,9.541832669322708e-20,9.52191235059761e-20,9.501992031872509e-20,9.48207171314741e-20,9.46215139442231e-20,9.442231075697211e-20,9.422310756972111e-20,9.402390438247012e-20,9.382470119521912e-20,9.362549800796813e-20,9.342629482071713e-20,9.322709163346613e-20,9.302788844621514e-20,9.282868525896414e-20,9.262948207171315e-20,9.243027888446215e-20,9.223107569721116e-20,9.203187250996016e-20,9.183266932270917e-20,9.163346613545816e-20,9.143426294820717e-20,9.123505976095617e-20,9.103585657370517e-20,9.083665338645418e-20,9.063745019920318e-20,9.043824701195219e-20,9.023904382470119e-20,9.00398406374502e-20,8.98406374501992e-20,8.964143426294821e-20,8.944223107569721e-20,8.924302788844622e-20,8.904382470119522e-20,8.884462151394422e-20,8.864541832669323e-20,8.844621513944222e-20,8.824701195219124e-20,8.804780876494023e-20,8.784860557768924e-20,8.764940239043824e-20,8.745019920318725e-20,8.725099601593625e-20,8.705179282868526e-20,8.685258964143426e-20,8.665338645418326e-20,8.645418326693227e-20,8.625498007968127e-20,8.605577689243028e-20,8.585657370517928e-20,8.565737051792829e-20,8.545816733067729e-20,8.52589641434263e-20,8.50597609561753e-20,8.486055776892431e-20,8.46613545816733e-20,8.44621513944223e-20,8.426294820717131e-20,8.406374501992031e-20,8.386454183266932e-20,8.366533864541832e-20,8.346613545816733e-20,8.326693227091633e-20,8.306772908366534e-20,8.286852589641434e-20,8.266932270916335e-20,8.247011952191235e-20,8.227091633466135e-20,8.207171314741036e-20,8.187250996015936e-20,8.167330677290837e-20,8.147410358565737e-20,8.127490039840638e-20,8.107569721115537e-20,8.087649402390439e-20,8.067729083665338e-20,8.04780876494024e-20,8.027888446215139e-20,8.007968127490039e-20,7.98804780876494e-20,7.96812749003984e-20,7.948207171314741e-20,7.928286852589641e-20,7.908366533864542e-20,7.888446215139442e-20,7.868525896414343e-20,7.848605577689243e-20,7.828685258964144e-20,7.808764940239044e-20,7.788844621513944e-20,7.768924302788845e-20,7.749003984063744e-20,7.729083665338645e-20,7.709163346613545e-20,7.689243027888446e-20,7.669322709163346e-20,7.649402390438247e-20,7.629482071713147e-20,7.609561752988048e-20,7.589641434262948e-20,7.569721115537848e-20,7.549800796812749e-20,7.529880478087649e-20,7.50996015936255e-20,7.49003984063745e-20,7.470119521912351e-20,7.450199203187251e-20,7.430278884462152e-20,7.410358565737052e-20,7.390438247011951e-20,7.370517928286852e-20,7.350597609561752e-20,7.330677290836653e-20,7.310756972111553e-20,7.290836653386454e-20,7.270916334661354e-20,7.250996015936255e-20,7.231075697211155e-20,7.211155378486056e-20,7.191235059760956e-20,7.171314741035856e-20,7.151394422310757e-20,7.131474103585657e-20,7.111553784860558e-20,7.091633466135458e-20,7.071713147410359e-20,7.051792828685259e-20,7.03187250996016e-20,7.01195219123506e-20,6.99203187250996e-20,6.97211155378486e-20,6.95219123505976e-20,6.932270916334661e-20,6.912350597609561e-20,6.892430278884462e-20,6.872509960159362e-20,6.852589641434263e-20,6.832669322709163e-20,6.812749003984064e-20,6.792828685258964e-20,6.772908366533865e-20,6.752988047808765e-20,6.733067729083665e-20,6.713147410358566e-20,6.693227091633465e-20,6.673306772908367e-20,6.653386454183266e-20,6.633466135458167e-20,6.613545816733067e-20,6.593625498007968e-20,6.573705179282868e-20,6.553784860557769e-20,6.533864541832669e-20,6.513944223107569e-20,6.49402390438247e-20,6.47410358565737e-20,6.454183266932271e-20,6.434262948207171e-20,6.414342629482072e-20,6.394422310756972e-20,6.374501992031873e-20,6.354581673306773e-20,6.334661354581674e-20,6.314741035856574e-20,6.294820717131473e-20,6.274900398406374e-20,6.254980079681274e-20,6.235059760956175e-20,6.215139442231075e-20,6.195219123505976e-20,6.175298804780876e-20,6.155378486055777e-20,6.135458167330677e-20,6.115537848605578e-20,6.095617529880478e-20,6.075697211155378e-20,6.055776892430279e-20,6.035856573705179e-20,6.01593625498008e-20,5.99601593625498e-20,5.976095617529881e-20,5.95617529880478e-20,5.936254980079682e-20,5.916334661354581e-20,5.896414342629482e-20,5.876494023904382e-20,5.856573705179282e-20,5.836653386454183e-20,5.816733067729083e-20,5.796812749003984e-20,5.776892430278884e-20,5.756972111553785e-20,5.737051792828685e-20,5.717131474103586e-20,5.697211155378486e-20,5.677290836653387e-20,5.657370517928287e-20,5.637450199203187e-20,5.617529880478088e-20,5.597609561752987e-20,5.577689243027889e-20,5.557768924302788e-20,5.53784860557769e-20,5.517928286852589e-20,5.49800796812749e-20,5.47808764940239e-20,5.458167330677291e-20,5.438247011952191e-20,5.4183266932270915e-20,5.398406374501992e-20,5.3784860557768925e-20,5.358565737051793e-20,5.3386454183266934e-20,5.318725099601593e-20,5.2988047808764937e-20,5.278884462151394e-20,5.2589641434262946e-20,5.239043824701195e-20,5.2191235059760955e-20,5.199203187250996e-20,5.1792828685258964e-20,5.159362549800797e-20,5.139442231075697e-20,5.119521912350598e-20,5.0996015936254976e-20,5.079681274900398e-20,5.0597609561752985e-20,5.039840637450199e-20,5.0199203187250994e-20,5.0e-20,4.9800796812749003e-20,4.960159362549801e-20,4.940239043824701e-20,4.9203187250996017e-20,4.900398406374502e-20,4.880478087649402e-20,4.8605577689243025e-20,4.840637450199203e-20,4.8207171314741034e-20,4.800796812749004e-20,4.780876494023904e-20,4.760956175298805e-20,4.741035856573705e-20,4.7211155378486056e-20,4.701195219123506e-20,4.6812749003984065e-20,4.6613545816733064e-20,4.641434262948207e-20,4.621513944223107e-20,4.601593625498008e-20,4.581673306772908e-20,4.5617529880478087e-20,4.541832669322709e-20,4.5219123505976096e-20,4.50199203187251e-20,4.4820717131474105e-20,4.462151394422311e-20,4.442231075697211e-20,4.422310756972111e-20,4.4023904382470117e-20,4.382470119521912e-20,4.3625498007968126e-20,4.342629482071713e-20,4.3227091633466135e-20,4.302788844621514e-20,4.2828685258964144e-20,4.262948207171315e-20,4.2430278884462153e-20,4.223107569721115e-20,4.2031872509960156e-20,4.183266932270916e-20,4.1633466135458165e-20,4.143426294820717e-20,4.1235059760956174e-20,4.103585657370518e-20,4.0836653386454184e-20,4.063745019920319e-20,4.043824701195219e-20,4.02390438247012e-20,4.0039840637450196e-20,3.98406374501992e-20,3.9641434262948205e-20,3.944223107569721e-20,3.9243027888446214e-20,3.904382470119522e-20,3.884462151394422e-20,3.864541832669323e-20,3.844621513944223e-20,3.8247011952191237e-20,3.804780876494024e-20,3.784860557768924e-20,3.7649402390438244e-20,3.745019920318725e-20,3.7250996015936253e-20,3.705179282868526e-20,3.685258964143426e-20,3.6653386454183267e-20,3.645418326693227e-20,3.6254980079681276e-20,3.605577689243028e-20,3.585657370517928e-20,3.5657370517928284e-20,3.545816733067729e-20,3.525896414342629e-20,3.50597609561753e-20,3.48605577689243e-20,3.4661354581673306e-20,3.446215139442231e-20,3.4262948207171315e-20,3.406374501992032e-20,3.3864541832669324e-20,3.366533864541832e-20,3.346613545816733e-20,3.326693227091633e-20,3.3067729083665337e-20,3.286852589641434e-20,3.2669322709163346e-20,3.247011952191235e-20,3.2270916334661355e-20,3.207171314741036e-20,3.1872509960159364e-20,3.167330677290837e-20,3.1474103585657367e-20,3.127490039840637e-20,3.1075697211155376e-20,3.087649402390438e-20,3.0677290836653385e-20,3.047808764940239e-20,3.0278884462151394e-20,3.00796812749004e-20,2.9880478087649403e-20,2.968127490039841e-20,2.948207171314741e-20,2.928286852589641e-20,2.9083665338645415e-20,2.888446215139442e-20,2.8685258964143424e-20,2.848605577689243e-20,2.8286852589641433e-20,2.808764940239044e-20,2.788844621513944e-20,2.768924302788845e-20,2.749003984063745e-20,2.7290836653386456e-20,2.7091633466135458e-20,2.6892430278884462e-20,2.6693227091633467e-20,2.6494023904382468e-20,2.6294820717131473e-20,2.6095617529880477e-20,2.5896414342629482e-20,2.5697211155378486e-20,2.5498007968127488e-20,2.5298804780876493e-20,2.5099601593625497e-20,2.4900398406374502e-20,2.4701195219123506e-20,2.450199203187251e-20,2.4302788844621512e-20,2.4103585657370517e-20,2.390438247011952e-20,2.3705179282868526e-20,2.350597609561753e-20,2.3306772908366532e-20,2.3107569721115536e-20,2.290836653386454e-20,2.2709163346613546e-20,2.250996015936255e-20,2.2310756972111555e-20,2.2111553784860556e-20,2.191235059760956e-20,2.1713147410358565e-20,2.151394422310757e-20,2.1314741035856574e-20,2.1115537848605576e-20,2.091633466135458e-20,2.0717131474103585e-20,2.051792828685259e-20,2.0318725099601594e-20,2.01195219123506e-20,1.99203187250996e-20,1.9721115537848605e-20,1.952191235059761e-20,1.9322709163346614e-20,1.9123505976095618e-20,1.892430278884462e-20,1.8725099601593624e-20,1.852589641434263e-20,1.8326693227091633e-20,1.8127490039840638e-20,1.792828685258964e-20,1.7729083665338644e-20,1.752988047808765e-20,1.7330677290836653e-20,1.7131474103585658e-20,1.6932270916334662e-20,1.6733067729083664e-20,1.6533864541832668e-20,1.6334661354581673e-20,1.6135458167330677e-20,1.5936254980079682e-20,1.5737051792828683e-20,1.5537848605577688e-20,1.5338645418326693e-20,1.5139442231075697e-20,1.4940239043824702e-20,1.4741035856573706e-20,1.4541832669322708e-20,1.4342629482071712e-20,1.4143426294820717e-20,1.394422310756972e-20,1.3745019920318726e-20,1.3545816733067729e-20,1.3346613545816733e-20,1.3147410358565736e-20,1.2948207171314741e-20,1.2749003984063744e-20,1.2549800796812749e-20,1.2350597609561753e-20,1.2151394422310756e-20,1.195219123505976e-20,1.1752988047808765e-20,1.1553784860557768e-20,1.1354581673306773e-20,1.1155378486055777e-20,1.095617529880478e-20,1.0756972111553785e-20,1.0557768924302788e-20,1.0358565737051792e-20,1.0159362549800797e-20,9.9601593625498e-21,9.760956175298805e-21,9.561752988047809e-21,9.362549800796812e-21,9.163346613545817e-21,8.96414342629482e-21,8.764940239043824e-21,8.565737051792829e-21,8.366533864541832e-21,8.167330677290836e-21,7.968127490039841e-21,7.768924302788844e-21,7.569721115537849e-21,7.370517928286853e-21,7.171314741035856e-21,6.97211155378486e-21,6.7729083665338644e-21,6.573705179282868e-21,6.374501992031872e-21,6.1752988047808765e-21,5.97609561752988e-21,5.776892430278884e-21,5.577689243027889e-21,5.3784860557768925e-21,5.179282868525896e-21,4.9800796812749e-21,4.7808764940239046e-21,4.581673306772908e-21,4.382470119521912e-21,4.183266932270916e-21,3.9840637450199205e-21,3.784860557768924e-21,3.585657370517928e-21,3.3864541832669322e-21,3.187250996015936e-21,2.98804780876494e-21,2.7888446215139443e-21,2.589641434262948e-21,2.3904382470119523e-21,2.191235059760956e-21,1.9920318725099602e-21,1.792828685258964e-21,1.593625498007968e-21,1.3944223107569722e-21,1.1952191235059761e-21,9.960159362549801e-22,7.96812749003984e-22,5.976095617529881e-22,3.98406374501992e-22,1.99203187250996e-22,0.0],"x":[0.0,3.98406374501992e-22,7.96812749003984e-22,1.1952191235059761e-21,1.593625498007968e-21,1.9920318725099602e-21,2.3904382470119523e-21,2.7888446215139443e-21,3.187250996015936e-21,3.585657370517928e-21,3.9840637450199205e-21,4.382470119521912e-21,4.7808764940239046e-21,5.179282868525896e-21,5.577689243027889e-21,5.97609561752988e-21,6.374501992031872e-21,6.7729083665338644e-21,7.171314741035856e-21,7.569721115537849e-21,7.968127490039841e-21,8.366533864541832e-21,8.764940239043824e-21,9.163346613545817e-21,9.561752988047809e-21,9.9601593625498e-21,1.0358565737051792e-20,1.0756972111553785e-20,1.1155378486055777e-20,1.1553784860557768e-20,1.195219123505976e-20,1.2350597609561753e-20,1.2749003984063744e-20,1.3147410358565736e-20,1.3545816733067729e-20,1.394422310756972e-20,1.4342629482071712e-20,1.4741035856573706e-20,1.5139442231075697e-20,1.5537848605577688e-20,1.5936254980079682e-20,1.6334661354581673e-20,1.6733067729083664e-20,1.7131474103585658e-20,1.752988047808765e-20,1.792828685258964e-20,1.8326693227091633e-20,1.8725099601593624e-20,1.9123505976095618e-20,1.952191235059761e-20,1.99203187250996e-20,2.0318725099601594e-20,2.0717131474103585e-20,2.1115537848605576e-20,2.151394422310757e-20,2.191235059760956e-20,2.2310756972111555e-20,2.2709163346613546e-20,2.3107569721115536e-20,2.350597609561753e-20,2.390438247011952e-20,2.4302788844621512e-20,2.4701195219123506e-20,2.5099601593625497e-20,2.5498007968127488e-20,2.5896414342629482e-20,2.6294820717131473e-20,2.6693227091633467e-20,2.7091633466135458e-20,2.749003984063745e-20,2.788844621513944e-20,2.8286852589641433e-20,2.8685258964143424e-20,2.9083665338645415e-20,2.948207171314741e-20,2.9880478087649403e-20,3.0278884462151394e-20,3.0677290836653385e-20,3.1075697211155376e-20,3.1474103585657367e-20,3.1872509960159364e-20,3.2270916334661355e-20,3.2669322709163346e-20,3.3067729083665337e-20,3.346613545816733e-20,3.3864541832669324e-20,3.4262948207171315e-20,3.4661354581673306e-20,3.50597609561753e-20,3.545816733067729e-20,3.585657370517928e-20,3.6254980079681276e-20,3.6653386454183267e-20,3.705179282868526e-20,3.745019920318725e-20,3.784860557768924e-20,3.8247011952191237e-20,3.864541832669323e-20,3.904382470119522e-20,3.944223107569721e-20,3.98406374501992e-20,4.02390438247012e-20,4.063745019920319e-20,4.103585657370518e-20,4.143426294820717e-20,4.183266932270916e-20,4.223107569721115e-20,4.262948207171315e-20,4.302788844621514e-20,4.342629482071713e-20,4.382470119521912e-20,4.422310756972111e-20,4.462151394422311e-20,4.50199203187251e-20,4.541832669322709e-20,4.581673306772908e-20,4.621513944223107e-20,4.6613545816733064e-20,4.701195219123506e-20,4.741035856573705e-20,4.780876494023904e-20,4.8207171314741034e-20,4.8605577689243025e-20,4.900398406374502e-20,4.940239043824701e-20,4.9800796812749003e-20,5.0199203187250994e-20,5.0597609561752985e-20,5.0996015936254976e-20,5.139442231075697e-20,5.1792828685258964e-20,5.2191235059760955e-20,5.2589641434262946e-20,5.2988047808764937e-20,5.3386454183266934e-20,5.3784860557768925e-20,5.4183266932270915e-20,5.458167330677291e-20,5.49800796812749e-20,5.53784860557769e-20,5.577689243027889e-20,5.617529880478088e-20,5.657370517928287e-20,5.697211155378486e-20,5.737051792828685e-20,5.776892430278884e-20,5.816733067729083e-20,5.856573705179282e-20,5.896414342629482e-20,5.936254980079682e-20,5.976095617529881e-20,6.01593625498008e-20,6.055776892430279e-20,6.095617529880478e-20,6.135458167330677e-20,6.175298804780876e-20,6.215139442231075e-20,6.254980079681274e-20,6.294820717131473e-20,6.334661354581674e-20,6.374501992031873e-20,6.414342629482072e-20,6.454183266932271e-20,6.49402390438247e-20,6.533864541832669e-20,6.573705179282868e-20,6.613545816733067e-20,6.653386454183266e-20,6.693227091633465e-20,6.733067729083665e-20,6.772908366533865e-20,6.812749003984064e-20,6.852589641434263e-20,6.892430278884462e-20,6.932270916334661e-20,6.97211155378486e-20,7.01195219123506e-20,7.051792828685259e-20,7.091633466135458e-20,7.131474103585657e-20,7.171314741035856e-20,7.211155378486056e-20,7.250996015936255e-20,7.290836653386454e-20,7.330677290836653e-20,7.370517928286852e-20,7.410358565737052e-20,7.450199203187251e-20,7.49003984063745e-20,7.529880478087649e-20,7.569721115537848e-20,7.609561752988048e-20,7.649402390438247e-20,7.689243027888446e-20,7.729083665338645e-20,7.768924302788845e-20,7.808764940239044e-20,7.848605577689243e-20,7.888446215139442e-20,7.928286852589641e-20,7.96812749003984e-20,8.007968127490039e-20,8.04780876494024e-20,8.087649402390439e-20,8.127490039840638e-20,8.167330677290837e-20,8.207171314741036e-20,8.247011952191235e-20,8.286852589641434e-20,8.326693227091633e-20,8.366533864541832e-20,8.406374501992031e-20,8.44621513944223e-20,8.486055776892431e-20,8.52589641434263e-20,8.565737051792829e-20,8.605577689243028e-20,8.645418326693227e-20,8.685258964143426e-20,8.725099601593625e-20,8.764940239043824e-20,8.804780876494023e-20,8.844621513944222e-20,8.884462151394422e-20,8.924302788844622e-20,8.964143426294821e-20,9.00398406374502e-20,9.043824701195219e-20,9.083665338645418e-20,9.123505976095617e-20,9.163346613545816e-20,9.203187250996016e-20,9.243027888446215e-20,9.282868525896414e-20,9.322709163346613e-20,9.362549800796813e-20,9.402390438247012e-20,9.442231075697211e-20,9.48207171314741e-20,9.52191235059761e-20,9.561752988047809e-20,9.601593625498008e-20,9.641434262948207e-20,9.681274900398406e-20,9.721115537848605e-20,9.760956175298804e-20,9.800796812749004e-20,9.840637450199203e-20,9.880478087649402e-20,9.920318725099602e-20,9.960159362549801e-20,1.0e-19,1.0039840637450199e-19,1.0079681274900398e-19,1.0119521912350597e-19,1.0159362549800796e-19,1.0199203187250995e-19,1.0239043824701196e-19,1.0278884462151395e-19,1.0318725099601594e-19,1.0358565737051793e-19,1.0398406374501992e-19,1.0438247011952191e-19,1.047808764940239e-19,1.0517928286852589e-19,1.0557768924302788e-19,1.0597609561752987e-19,1.0637450199203186e-19,1.0677290836653387e-19,1.0717131474103586e-19,1.0756972111553785e-19,1.0796812749003984e-19,1.0836653386454183e-19,1.0876494023904382e-19,1.0916334661354582e-19,1.095617529880478e-19,1.099601593625498e-19,1.1035856573705179e-19,1.107569721115538e-19,1.1115537848605577e-19,1.1155378486055777e-19,1.1195219123505975e-19,1.1235059760956175e-19,1.1274900398406373e-19,1.1314741035856573e-19,1.1354581673306774e-19,1.1394422310756972e-19,1.1434262948207172e-19,1.147410358565737e-19,1.151394422310757e-19,1.1553784860557768e-19,1.1593625498007968e-19,1.1633466135458166e-19,1.1673306772908366e-19,1.1713147410358564e-19,1.1752988047808765e-19,1.1792828685258965e-19,1.1832669322709163e-19,1.1872509960159363e-19,1.191235059760956e-19,1.1952191235059761e-19,1.199203187250996e-19,1.203187250996016e-19,1.2071713147410357e-19,1.2111553784860558e-19,1.2151394422310756e-19,1.2191235059760956e-19,1.2231075697211156e-19,1.2270916334661354e-19,1.2310756972111554e-19,1.2350597609561752e-19,1.2390438247011952e-19,1.243027888446215e-19,1.247011952191235e-19,1.2509960159362549e-19,1.254980079681275e-19,1.2589641434262947e-19,1.2629482071713147e-19,1.2669322709163347e-19,1.2709163346613545e-19,1.2749003984063746e-19,1.2788844621513943e-19,1.2828685258964144e-19,1.2868525896414342e-19,1.2908366533864542e-19,1.294820717131474e-19,1.298804780876494e-19,1.3027888446215138e-19,1.3067729083665338e-19,1.3107569721115539e-19,1.3147410358565736e-19,1.3187250996015937e-19,1.3227091633466135e-19,1.3266932270916335e-19,1.3306772908366533e-19,1.3346613545816733e-19,1.338645418326693e-19,1.3426294820717131e-19,1.346613545816733e-19,1.350597609561753e-19,1.354581673306773e-19,1.3585657370517928e-19,1.3625498007968128e-19,1.3665338645418326e-19,1.3705179282868526e-19,1.3745019920318724e-19,1.3784860557768924e-19,1.3824701195219122e-19,1.3864541832669323e-19,1.390438247011952e-19,1.394422310756972e-19,1.398406374501992e-19,1.402390438247012e-19,1.406374501992032e-19,1.4103585657370517e-19,1.4143426294820717e-19,1.4183266932270915e-19,1.4223107569721116e-19,1.4262948207171313e-19,1.4302788844621514e-19,1.4342629482071712e-19,1.4382470119521912e-19,1.4422310756972112e-19,1.446215139442231e-19,1.450199203187251e-19,1.4541832669322708e-19,1.4581673306772909e-19,1.4621513944223106e-19,1.4661354581673307e-19,1.4701195219123505e-19,1.4741035856573705e-19,1.4780876494023903e-19,1.4820717131474103e-19,1.4860557768924303e-19,1.4900398406374501e-19,1.4940239043824702e-19,1.49800796812749e-19,1.50199203187251e-19,1.5059760956175298e-19,1.5099601593625498e-19,1.5139442231075696e-19,1.5179282868525896e-19,1.5219123505976096e-19,1.5258964143426294e-19,1.5298804780876495e-19,1.5338645418326693e-19,1.5378486055776893e-19,1.541832669322709e-19,1.545816733067729e-19,1.549800796812749e-19,1.553784860557769e-19,1.5577689243027887e-19,1.5617529880478087e-19,1.5657370517928288e-19,1.5697211155378486e-19,1.5737051792828686e-19,1.5776892430278884e-19,1.5816733067729084e-19,1.5856573705179282e-19,1.5896414342629482e-19,1.593625498007968e-19,1.597609561752988e-19,1.6015936254980078e-19,1.6055776892430279e-19,1.609561752988048e-19,1.6135458167330677e-19,1.6175298804780877e-19,1.6215139442231075e-19,1.6254980079681275e-19,1.6294820717131473e-19,1.6334661354581673e-19,1.6374501992031871e-19,1.6414342629482072e-19,1.645418326693227e-19,1.649402390438247e-19,1.653386454183267e-19,1.6573705179282868e-19,1.6613545816733068e-19,1.6653386454183266e-19,1.6693227091633466e-19,1.6733067729083664e-19,1.6772908366533865e-19,1.6812749003984063e-19,1.6852589641434263e-19,1.689243027888446e-19,1.693227091633466e-19,1.6972111553784861e-19,1.701195219123506e-19,1.705179282868526e-19,1.7091633466135457e-19,1.7131474103585658e-19,1.7171314741035856e-19,1.7211155378486056e-19,1.7250996015936254e-19,1.7290836653386454e-19,1.7330677290836652e-19,1.7370517928286852e-19,1.7410358565737053e-19,1.745019920318725e-19,1.749003984063745e-19,1.7529880478087649e-19,1.756972111553785e-19,1.7609561752988047e-19,1.7649402390438247e-19,1.7689243027888445e-19,1.7729083665338645e-19,1.7768924302788843e-19,1.7808764940239043e-19,1.7848605577689244e-19,1.7888446215139442e-19,1.7928286852589642e-19,1.796812749003984e-19,1.800796812749004e-19,1.8047808764940238e-19,1.8087649402390438e-19,1.8127490039840636e-19,1.8167330677290836e-19,1.8207171314741034e-19,1.8247011952191235e-19,1.8286852589641435e-19,1.8326693227091633e-19,1.8366533864541833e-19,1.840637450199203e-19,1.8446215139442231e-19,1.848605577689243e-19,1.852589641434263e-19,1.8565737051792827e-19,1.8605577689243028e-19,1.8645418326693226e-19,1.8685258964143426e-19,1.8725099601593626e-19,1.8764940239043824e-19,1.8804780876494024e-19,1.8844621513944222e-19,1.8884462151394423e-19,1.892430278884462e-19,1.896414342629482e-19,1.9003984063745019e-19,1.904382470119522e-19,1.9083665338645417e-19,1.9123505976095617e-19,1.9163346613545817e-19,1.9203187250996015e-19,1.9243027888446216e-19,1.9282868525896413e-19,1.9322709163346614e-19,1.9362549800796812e-19,1.9402390438247012e-19,1.944223107569721e-19,1.948207171314741e-19,1.9521912350597608e-19,1.9561752988047808e-19,1.9601593625498009e-19,1.9641434262948206e-19,1.9681274900398407e-19,1.9721115537848605e-19,1.9760956175298805e-19,1.9800796812749003e-19,1.9840637450199203e-19,1.98804780876494e-19,1.9920318725099601e-19,1.99601593625498e-19,2.0e-19],"y":[0.0,1.99203187250996e-22,3.98406374501992e-22,5.976095617529881e-22,7.96812749003984e-22,9.960159362549801e-22,1.1952191235059761e-21,1.3944223107569722e-21,1.593625498007968e-21,1.792828685258964e-21,1.9920318725099602e-21,2.191235059760956e-21,2.3904382470119523e-21,2.589641434262948e-21,2.7888446215139443e-21,2.98804780876494e-21,3.187250996015936e-21,3.3864541832669322e-21,3.585657370517928e-21,3.784860557768924e-21,3.9840637450199205e-21,4.183266932270916e-21,4.382470119521912e-21,4.581673306772908e-21,4.7808764940239046e-21,4.9800796812749e-21,5.179282868525896e-21,5.3784860557768925e-21,5.577689243027889e-21,5.776892430278884e-21,5.97609561752988e-21,6.1752988047808765e-21,6.374501992031872e-21,6.573705179282868e-21,6.7729083665338644e-21,6.97211155378486e-21,7.171314741035856e-21,7.370517928286853e-21,7.569721115537849e-21,7.768924302788844e-21,7.968127490039841e-21,8.167330677290836e-21,8.366533864541832e-21,8.565737051792829e-21,8.764940239043824e-21,8.96414342629482e-21,9.163346613545817e-21,9.362549800796812e-21,9.561752988047809e-21,9.760956175298805e-21,9.9601593625498e-21,1.0159362549800797e-20,1.0358565737051792e-20,1.0557768924302788e-20,1.0756972111553785e-20,1.095617529880478e-20,1.1155378486055777e-20,1.1354581673306773e-20,1.1553784860557768e-20,1.1752988047808765e-20,1.195219123505976e-20,1.2151394422310756e-20,1.2350597609561753e-20,1.2549800796812749e-20,1.2749003984063744e-20,1.2948207171314741e-20,1.3147410358565736e-20,1.3346613545816733e-20,1.3545816733067729e-20,1.3745019920318726e-20,1.394422310756972e-20,1.4143426294820717e-20,1.4342629482071712e-20,1.4541832669322708e-20,1.4741035856573706e-20,1.4940239043824702e-20,1.5139442231075697e-20,1.5338645418326693e-20,1.5537848605577688e-20,1.5737051792828683e-20,1.5936254980079682e-20,1.6135458167330677e-20,1.6334661354581673e-20,1.6533864541832668e-20,1.6733067729083664e-20,1.6932270916334662e-20,1.7131474103585658e-20,1.7330677290836653e-20,1.752988047808765e-20,1.7729083665338644e-20,1.792828685258964e-20,1.8127490039840638e-20,1.8326693227091633e-20,1.852589641434263e-20,1.8725099601593624e-20,1.892430278884462e-20,1.9123505976095618e-20,1.9322709163346614e-20,1.952191235059761e-20,1.9721115537848605e-20,1.99203187250996e-20,2.01195219123506e-20,2.0318725099601594e-20,2.051792828685259e-20,2.0717131474103585e-20,2.091633466135458e-20,2.1115537848605576e-20,2.1314741035856574e-20,2.151394422310757e-20,2.1713147410358565e-20,2.191235059760956e-20,2.2111553784860556e-20,2.2310756972111555e-20,2.250996015936255e-20,2.2709163346613546e-20,2.290836653386454e-20,2.3107569721115536e-20,2.3306772908366532e-20,2.350597609561753e-20,2.3705179282868526e-20,2.390438247011952e-20,2.4103585657370517e-20,2.4302788844621512e-20,2.450199203187251e-20,2.4701195219123506e-20,2.4900398406374502e-20,2.5099601593625497e-20,2.5298804780876493e-20,2.5498007968127488e-20,2.5697211155378486e-20,2.5896414342629482e-20,2.6095617529880477e-20,2.6294820717131473e-20,2.6494023904382468e-20,2.6693227091633467e-20,2.6892430278884462e-20,2.7091633466135458e-20,2.7290836653386456e-20,2.749003984063745e-20,2.768924302788845e-20,2.788844621513944e-20,2.808764940239044e-20,2.8286852589641433e-20,2.848605577689243e-20,2.8685258964143424e-20,2.888446215139442e-20,2.9083665338645415e-20,2.928286852589641e-20,2.948207171314741e-20,2.968127490039841e-20,2.9880478087649403e-20,3.00796812749004e-20,3.0278884462151394e-20,3.047808764940239e-20,3.0677290836653385e-20,3.087649402390438e-20,3.1075697211155376e-20,3.127490039840637e-20,3.1474103585657367e-20,3.167330677290837e-20,3.1872509960159364e-20,3.207171314741036e-20,3.2270916334661355e-20,3.247011952191235e-20,3.2669322709163346e-20,3.286852589641434e-20,3.3067729083665337e-20,3.326693227091633e-20,3.346613545816733e-20,3.366533864541832e-20,3.3864541832669324e-20,3.406374501992032e-20,3.4262948207171315e-20,3.446215139442231e-20,3.4661354581673306e-20,3.48605577689243e-20,3.50597609561753e-20,3.525896414342629e-20,3.545816733067729e-20,3.5657370517928284e-20,3.585657370517928e-20,3.605577689243028e-20,3.6254980079681276e-20,3.645418326693227e-20,3.6653386454183267e-20,3.685258964143426e-20,3.705179282868526e-20,3.7250996015936253e-20,3.745019920318725e-20,3.7649402390438244e-20,3.784860557768924e-20,3.804780876494024e-20,3.8247011952191237e-20,3.844621513944223e-20,3.864541832669323e-20,3.884462151394422e-20,3.904382470119522e-20,3.9243027888446214e-20,3.944223107569721e-20,3.9641434262948205e-20,3.98406374501992e-20,4.0039840637450196e-20,4.02390438247012e-20,4.043824701195219e-20,4.063745019920319e-20,4.0836653386454184e-20,4.103585657370518e-20,4.1235059760956174e-20,4.143426294820717e-20,4.1633466135458165e-20,4.183266932270916e-20,4.2031872509960156e-20,4.223107569721115e-20,4.2430278884462153e-20,4.262948207171315e-20,4.2828685258964144e-20,4.302788844621514e-20,4.3227091633466135e-20,4.342629482071713e-20,4.3625498007968126e-20,4.382470119521912e-20,4.4023904382470117e-20,4.422310756972111e-20,4.442231075697211e-20,4.462151394422311e-20,4.4820717131474105e-20,4.50199203187251e-20,4.5219123505976096e-20,4.541832669322709e-20,4.5617529880478087e-20,4.581673306772908e-20,4.601593625498008e-20,4.621513944223107e-20,4.641434262948207e-20,4.6613545816733064e-20,4.6812749003984065e-20,4.701195219123506e-20,4.7211155378486056e-20,4.741035856573705e-20,4.760956175298805e-20,4.780876494023904e-20,4.800796812749004e-20,4.8207171314741034e-20,4.840637450199203e-20,4.8605577689243025e-20,4.880478087649402e-20,4.900398406374502e-20,4.9203187250996017e-20,4.940239043824701e-20,4.960159362549801e-20,4.9800796812749003e-20,5.0e-20,5.0199203187250994e-20,5.039840637450199e-20,5.0597609561752985e-20,5.079681274900398e-20,5.0996015936254976e-20,5.119521912350598e-20,5.139442231075697e-20,5.159362549800797e-20,5.1792828685258964e-20,5.199203187250996e-20,5.2191235059760955e-20,5.239043824701195e-20,5.2589641434262946e-20,5.278884462151394e-20,5.2988047808764937e-20,5.318725099601593e-20,5.3386454183266934e-20,5.358565737051793e-20,5.3784860557768925e-20,5.398406374501992e-20,5.4183266932270915e-20,5.438247011952191e-20,5.458167330677291e-20,5.47808764940239e-20,5.49800796812749e-20,5.517928286852589e-20,5.53784860557769e-20,5.557768924302788e-20,5.577689243027889e-20,5.597609561752987e-20,5.617529880478088e-20,5.637450199203187e-20,5.657370517928287e-20,5.677290836653387e-20,5.697211155378486e-20,5.717131474103586e-20,5.737051792828685e-20,5.756972111553785e-20,5.776892430278884e-20,5.796812749003984e-20,5.816733067729083e-20,5.836653386454183e-20,5.856573705179282e-20,5.876494023904382e-20,5.896414342629482e-20,5.916334661354581e-20,5.936254980079682e-20,5.95617529880478e-20,5.976095617529881e-20,5.99601593625498e-20,6.01593625498008e-20,6.035856573705179e-20,6.055776892430279e-20,6.075697211155378e-20,6.095617529880478e-20,6.115537848605578e-20,6.135458167330677e-20,6.155378486055777e-20,6.175298804780876e-20,6.195219123505976e-20,6.215139442231075e-20,6.235059760956175e-20,6.254980079681274e-20,6.274900398406374e-20,6.294820717131473e-20,6.314741035856574e-20,6.334661354581674e-20,6.354581673306773e-20,6.374501992031873e-20,6.394422310756972e-20,6.414342629482072e-20,6.434262948207171e-20,6.454183266932271e-20,6.47410358565737e-20,6.49402390438247e-20,6.513944223107569e-20,6.533864541832669e-20,6.553784860557769e-20,6.573705179282868e-20,6.593625498007968e-20,6.613545816733067e-20,6.633466135458167e-20,6.653386454183266e-20,6.673306772908367e-20,6.693227091633465e-20,6.713147410358566e-20,6.733067729083665e-20,6.752988047808765e-20,6.772908366533865e-20,6.792828685258964e-20,6.812749003984064e-20,6.832669322709163e-20,6.852589641434263e-20,6.872509960159362e-20,6.892430278884462e-20,6.912350597609561e-20,6.932270916334661e-20,6.95219123505976e-20,6.97211155378486e-20,6.99203187250996e-20,7.01195219123506e-20,7.03187250996016e-20,7.051792828685259e-20,7.071713147410359e-20,7.091633466135458e-20,7.111553784860558e-20,7.131474103585657e-20,7.151394422310757e-20,7.171314741035856e-20,7.191235059760956e-20,7.211155378486056e-20,7.231075697211155e-20,7.250996015936255e-20,7.270916334661354e-20,7.290836653386454e-20,7.310756972111553e-20,7.330677290836653e-20,7.350597609561752e-20,7.370517928286852e-20,7.390438247011951e-20,7.410358565737052e-20,7.430278884462152e-20,7.450199203187251e-20,7.470119521912351e-20,7.49003984063745e-20,7.50996015936255e-20,7.529880478087649e-20,7.549800796812749e-20,7.569721115537848e-20,7.589641434262948e-20,7.609561752988048e-20,7.629482071713147e-20,7.649402390438247e-20,7.669322709163346e-20,7.689243027888446e-20,7.709163346613545e-20,7.729083665338645e-20,7.749003984063744e-20,7.768924302788845e-20,7.788844621513944e-20,7.808764940239044e-20,7.828685258964144e-20,7.848605577689243e-20,7.868525896414343e-20,7.888446215139442e-20,7.908366533864542e-20,7.928286852589641e-20,7.948207171314741e-20,7.96812749003984e-20,7.98804780876494e-20,8.007968127490039e-20,8.027888446215139e-20,8.04780876494024e-20,8.067729083665338e-20,8.087649402390439e-20,8.107569721115537e-20,8.127490039840638e-20,8.147410358565737e-20,8.167330677290837e-20,8.187250996015936e-20,8.207171314741036e-20,8.227091633466135e-20,8.247011952191235e-20,8.266932270916335e-20,8.286852589641434e-20,8.306772908366534e-20,8.326693227091633e-20,8.346613545816733e-20,8.366533864541832e-20,8.386454183266932e-20,8.406374501992031e-20,8.426294820717131e-20,8.44621513944223e-20,8.46613545816733e-20,8.486055776892431e-20,8.50597609561753e-20,8.52589641434263e-20,8.545816733067729e-20,8.565737051792829e-20,8.585657370517928e-20,8.605577689243028e-20,8.625498007968127e-20,8.645418326693227e-20,8.665338645418326e-20,8.685258964143426e-20,8.705179282868526e-20,8.725099601593625e-20,8.745019920318725e-20,8.764940239043824e-20,8.784860557768924e-20,8.804780876494023e-20,8.824701195219124e-20,8.844621513944222e-20,8.864541832669323e-20,8.884462151394422e-20,8.904382470119522e-20,8.924302788844622e-20,8.944223107569721e-20,8.964143426294821e-20,8.98406374501992e-20,9.00398406374502e-20,9.023904382470119e-20,9.043824701195219e-20,9.063745019920318e-20,9.083665338645418e-20,9.103585657370517e-20,9.123505976095617e-20,9.143426294820717e-20,9.163346613545816e-20,9.183266932270917e-20,9.203187250996016e-20,9.223107569721116e-20,9.243027888446215e-20,9.262948207171315e-20,9.282868525896414e-20,9.302788844621514e-20,9.322709163346613e-20,9.342629482071713e-20,9.362549800796813e-20,9.382470119521912e-20,9.402390438247012e-20,9.422310756972111e-20,9.442231075697211e-20,9.46215139442231e-20,9.48207171314741e-20,9.501992031872509e-20,9.52191235059761e-20,9.541832669322708e-20,9.561752988047809e-20,9.581673306772909e-20,9.601593625498008e-20,9.621513944223108e-20,9.641434262948207e-20,9.661354581673307e-20,9.681274900398406e-20,9.701195219123506e-20,9.721115537848605e-20,9.741035856573705e-20,9.760956175298804e-20,9.780876494023904e-20,9.800796812749004e-20,9.820717131474103e-20,9.840637450199203e-20,9.860557768924302e-20,9.880478087649402e-20,9.900398406374501e-20,9.920318725099602e-20,9.9402390438247e-20,9.960159362549801e-20,9.9800796812749e-20,1.0e-19]} diff --git a/lib/node_modules/@stdlib/ml/base/loss/float64/epsilon-insensitive-gradient/test/test.js b/lib/node_modules/@stdlib/ml/base/loss/float64/epsilon-insensitive-gradient/test/test.js new file mode 100644 index 000000000000..f396567ee832 --- /dev/null +++ b/lib/node_modules/@stdlib/ml/base/loss/float64/epsilon-insensitive-gradient/test/test.js @@ -0,0 +1,147 @@ +/** +* @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 isnan = require( '@stdlib/math/base/assert/is-nan' ); +var isAlmostSameValue = require( '@stdlib/number/float64/base/assert/is-almost-same-value' ); +var epsilonInsensitiveGradient = require( './../lib' ); + + +// FIXTURES // + +var tinyPositive = require( './fixtures/julia/tiny_positive.json' ); +var smallPositive = require( './fixtures/julia/small_positive.json' ); +var tinyNegative = require( './fixtures/julia/tiny_negative.json' ); +var smallNegative = require( './fixtures/julia/small_negative.json' ); + + +// TESTS // + +tape( 'main export is a function', function test( t ) { + t.ok( true, __filename ); + t.strictEqual( typeof epsilonInsensitiveGradient, 'function', 'main export is a function' ); + t.end(); +}); + +tape( 'the function computes the epsilon insensitive loss gradient for tiny positive values', function test( t ) { + var expected; + var e; + var x; + var y; + var p; + var v; + var i; + + x = tinyPositive.x; + e = tinyPositive.e; + y = tinyPositive.y; + p = tinyPositive.p; + expected = tinyPositive.expected; + for ( i = 0; i < y.length; i++ ) { + v = epsilonInsensitiveGradient( x[ i ], e[ i ], y[ i ], p[ i ] ); + t.strictEqual( isAlmostSameValue( v, expected[ i ], 0 ), true, 'returns expected value' ); + } + t.end(); +}); + +tape( 'the function computes the epsilon insensitive loss gradient for small positive values', function test( t ) { + var expected; + var e; + var x; + var y; + var p; + var v; + var i; + + x = smallPositive.x; + e = smallPositive.e; + y = smallPositive.y; + p = smallPositive.p; + expected = smallPositive.expected; + for ( i = 0; i < y.length; i++ ) { + v = epsilonInsensitiveGradient( x[ i ], e[ i ], y[ i ], p[ i ] ); + t.strictEqual( isAlmostSameValue( v, expected[ i ], 0 ), true, 'returns expected value' ); + } + t.end(); +}); + +tape( 'the function computes the epsilon insensitive loss gradient for tiny negative values', function test( t ) { + var expected; + var e; + var x; + var y; + var p; + var v; + var i; + + x = tinyNegative.x; + e = tinyNegative.e; + y = tinyNegative.y; + p = tinyNegative.p; + expected = tinyNegative.expected; + for ( i = 0; i < y.length; i++ ) { + v = epsilonInsensitiveGradient( x[ i ], e[ i ], y[ i ], p[ i ] ); + t.strictEqual( isAlmostSameValue( v, expected[ i ], 0 ), true, 'returns expected value' ); + } + t.end(); +}); + +tape( 'the function computes the epsilon insensitive loss gradient for small negative values', function test( t ) { + var expected; + var e; + var x; + var y; + var p; + var v; + var i; + + x = smallNegative.x; + e = smallNegative.e; + y = smallNegative.y; + p = smallNegative.p; + expected = smallNegative.expected; + for ( i = 0; i < y.length; i++ ) { + v = epsilonInsensitiveGradient( x[ i ], e[ i ], y[ i ], p[ i ] ); + t.strictEqual( isAlmostSameValue( v, expected[ i ], 0 ), true, 'returns expected value' ); + } + t.end(); +}); + +tape( 'the function returns `NaN` if provided `NaN`', function test( t ) { + var v; + + v = epsilonInsensitiveGradient( NaN, 1.0, 1.0, 0.782 ); + t.strictEqual( isnan( v ), true, 'returns expected value' ); + + v = epsilonInsensitiveGradient( 1.0, NaN, 1.0, 0.782 ); + t.strictEqual( isnan( v ), true, 'returns expected value' ); + + v = epsilonInsensitiveGradient( NaN, NaN, 1.0, 0.782 ); + t.strictEqual( isnan( v ), true, 'returns expected value' ); + + v = epsilonInsensitiveGradient( NaN, NaN, NaN, 0.782 ); + t.strictEqual( isnan( v ), true, 'returns expected value' ); + + v = epsilonInsensitiveGradient( NaN, NaN, NaN, NaN ); + t.strictEqual( isnan( v ), true, 'returns expected value' ); + t.end(); +}); diff --git a/lib/node_modules/@stdlib/ml/base/loss/float64/epsilon-insensitive-gradient/test/test.native.js b/lib/node_modules/@stdlib/ml/base/loss/float64/epsilon-insensitive-gradient/test/test.native.js new file mode 100644 index 000000000000..dd25ff8750fd --- /dev/null +++ b/lib/node_modules/@stdlib/ml/base/loss/float64/epsilon-insensitive-gradient/test/test.native.js @@ -0,0 +1,156 @@ +/** +* @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 isnan = require( '@stdlib/math/base/assert/is-nan' ); +var isAlmostSameValue = require( '@stdlib/number/float64/base/assert/is-almost-same-value' ); +var tryRequire = require( '@stdlib/utils/try-require' ); + + +// FIXTURES // + +var tinyPositive = require( './fixtures/julia/tiny_positive.json' ); +var smallPositive = require( './fixtures/julia/small_positive.json' ); +var tinyNegative = require( './fixtures/julia/tiny_negative.json' ); +var smallNegative = require( './fixtures/julia/small_negative.json' ); + + +// VARIABLES // + +var epsilonInsensitiveGradient = tryRequire( resolve( __dirname, './../lib/native.js' ) ); +var opts = { + 'skip': ( epsilonInsensitiveGradient instanceof Error ) +}; + + +// TESTS // + +tape( 'main export is a function', opts, function test( t ) { + t.ok( true, __filename ); + t.strictEqual( typeof epsilonInsensitiveGradient, 'function', 'main export is a function' ); + t.end(); +}); + +tape( 'the function computes the epsilon insensitive loss gradient for tiny positive values', opts, function test( t ) { + var expected; + var e; + var x; + var y; + var p; + var v; + var i; + + x = tinyPositive.x; + e = tinyPositive.e; + y = tinyPositive.y; + p = tinyPositive.p; + expected = tinyPositive.expected; + for ( i = 0; i < y.length; i++ ) { + v = epsilonInsensitiveGradient( x[ i ], e[ i ], y[ i ], p[ i ] ); + t.strictEqual( isAlmostSameValue( v, expected[ i ], 0 ), true, 'returns expected value' ); + } + t.end(); +}); + +tape( 'the function computes the epsilon insensitive loss gradient for small positive values', opts, function test( t ) { + var expected; + var e; + var x; + var y; + var p; + var v; + var i; + + x = smallPositive.x; + e = smallPositive.e; + y = smallPositive.y; + p = smallPositive.p; + expected = smallPositive.expected; + for ( i = 0; i < y.length; i++ ) { + v = epsilonInsensitiveGradient( x[ i ], e[ i ], y[ i ], p[ i ] ); + t.strictEqual( isAlmostSameValue( v, expected[ i ], 0 ), true, 'returns expected value' ); + } + t.end(); +}); + +tape( 'the function computes the epsilon insensitive loss gradient for tiny negative values', opts, function test( t ) { + var expected; + var e; + var x; + var y; + var p; + var v; + var i; + + x = tinyNegative.x; + e = tinyNegative.e; + y = tinyNegative.y; + p = tinyNegative.p; + expected = tinyNegative.expected; + for ( i = 0; i < y.length; i++ ) { + v = epsilonInsensitiveGradient( x[ i ], e[ i ], y[ i ], p[ i ] ); + t.strictEqual( isAlmostSameValue( v, expected[ i ], 0 ), true, 'returns expected value' ); + } + t.end(); +}); + +tape( 'the function computes the epsilon insensitive loss gradient for small negative values', opts, function test( t ) { + var expected; + var e; + var x; + var y; + var p; + var v; + var i; + + x = smallNegative.x; + e = smallNegative.e; + y = smallNegative.y; + p = smallNegative.p; + expected = smallNegative.expected; + for ( i = 0; i < y.length; i++ ) { + v = epsilonInsensitiveGradient( x[ i ], e[ i ], y[ i ], p[ i ] ); + t.strictEqual( isAlmostSameValue( v, expected[ i ], 0 ), true, 'returns expected value' ); + } + t.end(); +}); + +tape( 'the function returns `NaN` if provided `NaN`', opts, function test( t ) { + var v; + + v = epsilonInsensitiveGradient( NaN, 1.0, 1.0, 0.782 ); + t.strictEqual( isnan( v ), true, 'returns expected value' ); + + v = epsilonInsensitiveGradient( 1.0, NaN, 1.0, 0.782 ); + t.strictEqual( isnan( v ), true, 'returns expected value' ); + + v = epsilonInsensitiveGradient( NaN, NaN, 1.0, 0.782 ); + t.strictEqual( isnan( v ), true, 'returns expected value' ); + + v = epsilonInsensitiveGradient( NaN, NaN, NaN, 0.782 ); + t.strictEqual( isnan( v ), true, 'returns expected value' ); + + v = epsilonInsensitiveGradient( NaN, NaN, NaN, NaN ); + t.strictEqual( isnan( v ), true, 'returns expected value' ); + t.end(); +});