diff --git a/lib/node_modules/@stdlib/math/base/special/avercosf/README.md b/lib/node_modules/@stdlib/math/base/special/avercosf/README.md
new file mode 100644
index 000000000000..567234696abb
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/avercosf/README.md
@@ -0,0 +1,220 @@
+
+
+# Arcvercosine
+
+> Compute the [inverse versed cosine][inverse-versed-cosine] of a single-precision floating-point number (in radians).
+
+
+
+The [inverse versed cosine][inverse-versed-cosine] is defined as
+
+
+
+```math
+\mathop{\mathrm{avercos}}(\theta) = \arccos(1+\theta)
+```
+
+
+
+
+
+
+
+
+
+
+
+## Usage
+
+```javascript
+var avercosf = require( '@stdlib/math/base/special/avercosf' );
+```
+
+#### avercosf( x )
+
+Computes the [inverse versed cosine][inverse-versed-cosine] of a single-precision floating-point number (in radians).
+
+```javascript
+var v = avercosf( 0.0 );
+// returns 0.0
+
+v = avercosf( -3.141592653589793 / 2.0 );
+// returns ~2.1783
+
+v = avercosf( -3.141592653589793 / 6.0 );
+// returns ~1.0742
+```
+
+If `x < -2`, `x > 0`, or `x` is `NaN`, the function returns `NaN`.
+
+```javascript
+var v = avercosf( 1.0 );
+// returns NaN
+
+v = avercosf( -3.14 );
+// returns NaN
+
+v = avercosf( NaN );
+// returns NaN
+```
+
+
+
+
+
+
+
+## Examples
+
+
+
+```javascript
+var linspace = require( '@stdlib/array/base/linspace' );
+var avercosf = require( '@stdlib/math/base/special/avercosf' );
+
+var x = linspace( -2.0, 0.0, 100 );
+
+var i;
+for ( i = 0; i < x.length; i++ ) {
+ console.log( avercosf( x[ i ] ) );
+}
+```
+
+
+
+
+
+
+
+* * *
+
+
+
+## C APIs
+
+
+
+
+
+
+
+
+
+
+
+### Usage
+
+```c
+#include "stdlib/math/base/special/avercosf.h"
+```
+
+#### stdlib_base_avercosf( x )
+
+Compute the [inverse versed cosine][inverse-versed-cosine] of a single-precision floating-point number (in radians).
+
+```c
+float out = stdlib_base_avercosf( -3.141592653589793f / 2.0f );
+// returns ~2.1783f
+```
+
+If `x < -2`, `x > 0`, or `x` is `NaN`, the function returns `NaN`.
+
+```c
+float out = stdlib_base_avercosf( -3.141592653589793f );
+// returns NaN
+```
+
+The function accepts the following arguments:
+
+- **x**: `[in] float` input value.
+
+```c
+float stdlib_base_avercosf( const float x );
+```
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+### Examples
+
+```c
+#include "stdlib/math/base/special/avercosf.h"
+#include
+
+int main( void ) {
+ const float x[] = { -2.5f, -2.0f, -1.5f, -1.0f, -0.5f, 0.5f, 1.0f, 1.5f, 2.0f, 2.5f };
+
+ float v;
+ int i;
+ for ( i = 0; i < 10; i++ ) {
+ v = stdlib_base_avercosf( x[ i ] );
+ printf( "avercosf(%f) = %f\n", x[ i ], v );
+ }
+}
+```
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+[inverse-versed-cosine]: https://en.wikipedia.org/wiki/Versine
+
+
+
+
+
+
+
+
diff --git a/lib/node_modules/@stdlib/math/base/special/avercosf/benchmark/benchmark.js b/lib/node_modules/@stdlib/math/base/special/avercosf/benchmark/benchmark.js
new file mode 100644
index 000000000000..ee53798789d7
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/avercosf/benchmark/benchmark.js
@@ -0,0 +1,52 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2024 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+* http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+'use strict';
+
+// MODULES //
+
+var bench = require( '@stdlib/bench' );
+var randu = require( '@stdlib/random/array/uniform' );
+var isnanf = require( '@stdlib/math/base/assert/is-nanf' );
+var pkg = require( './../package.json' ).name;
+var avercosf = require( './../lib' );
+
+
+// MAIN //
+
+bench( pkg, function benchmark( b ) {
+ var x;
+ var y;
+ var i;
+
+ x = randu( 100, -2.0, 0.0 );
+
+ b.tic();
+ for ( i = 0; i < b.iterations; i++ ) {
+ y = avercosf( x[ i % x.length ] );
+ if ( isnanf( y ) ) {
+ b.fail( 'should not return NaN' );
+ }
+ }
+ b.toc();
+ if ( isnanf( y ) ) {
+ b.fail( 'should not return NaN' );
+ }
+ b.pass( 'benchmark finished' );
+ b.end();
+});
diff --git a/lib/node_modules/@stdlib/math/base/special/avercosf/benchmark/benchmark.native.js b/lib/node_modules/@stdlib/math/base/special/avercosf/benchmark/benchmark.native.js
new file mode 100644
index 000000000000..da15825ff75a
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/avercosf/benchmark/benchmark.native.js
@@ -0,0 +1,61 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2024 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+* http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+'use strict';
+
+// MODULES //
+
+var resolve = require( 'path' ).resolve;
+var bench = require( '@stdlib/bench' );
+var randu = require( '@stdlib/random/array/uniform' );
+var isnanf = require( '@stdlib/math/base/assert/is-nanf' );
+var tryRequire = require( '@stdlib/utils/try-require' );
+var pkg = require( './../package.json' ).name;
+
+
+// VARIABLES //
+
+var avercosf = tryRequire( resolve( __dirname, './../lib/native.js' ) );
+var opts = {
+ 'skip': ( avercosf instanceof Error )
+};
+
+
+// MAIN //
+
+bench( pkg+'::native', opts, function benchmark( b ) {
+ var x;
+ var y;
+ var i;
+
+ x = randu( 100, -2.0, 0.0 );
+
+ b.tic();
+ for ( i = 0; i < b.iterations; i++ ) {
+ y = avercosf( x[ i % x.length ] );
+ if ( isnanf( y ) ) {
+ b.fail( 'should not return NaN' );
+ }
+ }
+ b.toc();
+ if ( isnanf( y ) ) {
+ b.fail( 'should not return NaN' );
+ }
+ b.pass( 'benchmark finished' );
+ b.end();
+});
diff --git a/lib/node_modules/@stdlib/math/base/special/avercosf/benchmark/c/native/Makefile b/lib/node_modules/@stdlib/math/base/special/avercosf/benchmark/c/native/Makefile
new file mode 100644
index 000000000000..f69e9da2b4d3
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/avercosf/benchmark/c/native/Makefile
@@ -0,0 +1,146 @@
+#/
+# @license Apache-2.0
+#
+# Copyright (c) 2024 The Stdlib Authors.
+#
+# Licensed under the Apache License, Version 2.0 (the "License");
+# you may not use this file except in compliance with the License.
+# You may obtain a copy of the License at
+#
+# http://www.apache.org/licenses/LICENSE-2.0
+#
+# Unless required by applicable law or agreed to in writing, software
+# distributed under the License is distributed on an "AS IS" BASIS,
+# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+# See the License for the specific language governing permissions and
+# limitations under the License.
+#/
+
+# VARIABLES #
+
+ifndef VERBOSE
+ QUIET := @
+else
+ QUIET :=
+endif
+
+# Determine the OS ([1][1], [2][2]).
+#
+# [1]: https://en.wikipedia.org/wiki/Uname#Examples
+# [2]: http://stackoverflow.com/a/27776822/2225624
+OS ?= $(shell uname)
+ifneq (, $(findstring MINGW,$(OS)))
+ OS := WINNT
+else
+ifneq (, $(findstring MSYS,$(OS)))
+ OS := WINNT
+else
+ifneq (, $(findstring CYGWIN,$(OS)))
+ OS := WINNT
+else
+ifneq (, $(findstring Windows_NT,$(OS)))
+ OS := WINNT
+endif
+endif
+endif
+endif
+
+# Define the program used for compiling C source files:
+ifdef C_COMPILER
+ CC := $(C_COMPILER)
+else
+ CC := gcc
+endif
+
+# Define the command-line options when compiling C files:
+CFLAGS ?= \
+ -std=c99 \
+ -O3 \
+ -Wall \
+ -pedantic
+
+# Determine whether to generate position independent code ([1][1], [2][2]).
+#
+# [1]: https://gcc.gnu.org/onlinedocs/gcc/Code-Gen-Options.html#Code-Gen-Options
+# [2]: http://stackoverflow.com/questions/5311515/gcc-fpic-option
+ifeq ($(OS), WINNT)
+ fPIC ?=
+else
+ fPIC ?= -fPIC
+endif
+
+# List of includes (e.g., `-I /foo/bar -I /beep/boop/include`):
+INCLUDE ?=
+
+# List of source files:
+SOURCE_FILES ?=
+
+# List of libraries (e.g., `-lopenblas -lpthread`):
+LIBRARIES ?=
+
+# List of library paths (e.g., `-L /foo/bar -L /beep/boop`):
+LIBPATH ?=
+
+# List of C targets:
+c_targets := benchmark.out
+
+
+# RULES #
+
+#/
+# Compiles source files.
+#
+# @param {string} [C_COMPILER] - C compiler (e.g., `gcc`)
+# @param {string} [CFLAGS] - C compiler options
+# @param {(string|void)} [fPIC] - compiler flag determining whether to generate position independent code (e.g., `-fPIC`)
+# @param {string} [INCLUDE] - list of includes (e.g., `-I /foo/bar -I /beep/boop/include`)
+# @param {string} [SOURCE_FILES] - list of source files
+# @param {string} [LIBPATH] - list of library paths (e.g., `-L /foo/bar -L /beep/boop`)
+# @param {string} [LIBRARIES] - list of libraries (e.g., `-lopenblas -lpthread`)
+#
+# @example
+# make
+#
+# @example
+# make all
+#/
+all: $(c_targets)
+
+.PHONY: all
+
+#/
+# Compiles C source files.
+#
+# @private
+# @param {string} CC - C compiler (e.g., `gcc`)
+# @param {string} CFLAGS - C compiler options
+# @param {(string|void)} fPIC - compiler flag determining whether to generate position independent code (e.g., `-fPIC`)
+# @param {string} INCLUDE - list of includes (e.g., `-I /foo/bar`)
+# @param {string} SOURCE_FILES - list of source files
+# @param {string} LIBPATH - list of library paths (e.g., `-L /foo/bar`)
+# @param {string} LIBRARIES - list of libraries (e.g., `-lopenblas`)
+#/
+$(c_targets): %.out: %.c
+ $(QUIET) $(CC) $(CFLAGS) $(fPIC) $(INCLUDE) -o $@ $(SOURCE_FILES) $< $(LIBPATH) -lm $(LIBRARIES)
+
+#/
+# Runs compiled benchmarks.
+#
+# @example
+# make run
+#/
+run: $(c_targets)
+ $(QUIET) ./$<
+
+.PHONY: run
+
+#/
+# Removes generated files.
+#
+# @example
+# make clean
+#/
+clean:
+ $(QUIET) -rm -f *.o *.out
+
+.PHONY: clean
diff --git a/lib/node_modules/@stdlib/math/base/special/avercosf/benchmark/c/native/benchmark.c b/lib/node_modules/@stdlib/math/base/special/avercosf/benchmark/c/native/benchmark.c
new file mode 100644
index 000000000000..dd3eb9f2205c
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/avercosf/benchmark/c/native/benchmark.c
@@ -0,0 +1,136 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2024 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+* http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+#include "stdlib/math/base/special/avercosf.h"
+#include
+#include
+#include
+#include
+#include
+
+#define NAME "avercosf"
+#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 [0,1).
+*
+* @return random number
+*/
+static float rand_float( void ) {
+ int r = rand();
+ return (float)r / ( (float)RAND_MAX + 1.0f );
+}
+
+/**
+* Runs a benchmark.
+*
+* @return elapsed time in seconds
+*/
+static double benchmark( void ) {
+ double elapsed;
+ double t;
+ float x[ 100 ];
+ float y;
+ int i;
+
+ for ( i = 0; i < 100; i++ ) {
+ x[ i ] = -2.0f * rand_float();
+ }
+
+ t = tic();
+ for ( i = 0; i < ITERATIONS; i++ ) {
+ y = stdlib_base_avercosf( x[ i % 100 ] );
+ if ( y != y ) {
+ printf( "should not return NaN\n" );
+ break;
+ }
+ }
+ elapsed = tic() - t;
+ if ( y != y ) {
+ printf( "should not return NaN\n" );
+ }
+ return elapsed;
+}
+
+/**
+* Main execution sequence.
+*/
+int main( void ) {
+ double elapsed;
+ int i;
+
+ // Use the current time to seed the random number generator:
+ srand( time( NULL ) );
+
+ print_version();
+ for ( i = 0; i < REPEATS; i++ ) {
+ printf( "# c::native::%s\n", NAME );
+ elapsed = benchmark();
+ print_results( elapsed );
+ printf( "ok %d benchmark finished\n", i+1 );
+ }
+ print_summary( REPEATS, REPEATS );
+}
diff --git a/lib/node_modules/@stdlib/math/base/special/avercosf/binding.gyp b/lib/node_modules/@stdlib/math/base/special/avercosf/binding.gyp
new file mode 100644
index 000000000000..ec3992233442
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/avercosf/binding.gyp
@@ -0,0 +1,170 @@
+# @license Apache-2.0
+#
+# Copyright (c) 2024 The Stdlib Authors.
+#
+# Licensed under the Apache License, Version 2.0 (the "License");
+# you may not use this file except in compliance with the License.
+# You may obtain a copy of the License at
+#
+# http://www.apache.org/licenses/LICENSE-2.0
+#
+# Unless required by applicable law or agreed to in writing, software
+# distributed under the License is distributed on an "AS IS" BASIS,
+# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+# See the License for the specific language governing permissions and
+# limitations under the License.
+
+# A `.gyp` file for building a Node.js native add-on.
+#
+# [1]: https://gyp.gsrc.io/docs/InputFormatReference.md
+# [2]: https://gyp.gsrc.io/docs/UserDocumentation.md
+{
+ # List of files to include in this file:
+ 'includes': [
+ './include.gypi',
+ ],
+
+ # Define variables to be used throughout the configuration for all targets:
+ 'variables': {
+ # Target name should match the add-on export name:
+ 'addon_target_name%': 'addon',
+
+ # Set variables based on the host OS:
+ 'conditions': [
+ [
+ 'OS=="win"',
+ {
+ # Define the object file suffix:
+ 'obj': 'obj',
+ },
+ {
+ # Define the object file suffix:
+ 'obj': 'o',
+ }
+ ], # end condition (OS=="win")
+ ], # end conditions
+ }, # end variables
+
+ # Define compile targets:
+ 'targets': [
+
+ # Target to generate an add-on:
+ {
+ # The target name should match the add-on export name:
+ 'target_name': '<(addon_target_name)',
+
+ # Define dependencies:
+ 'dependencies': [],
+
+ # Define directories which contain relevant include headers:
+ 'include_dirs': [
+ # Local include directory:
+ '<@(include_dirs)',
+ ],
+
+ # List of source files:
+ 'sources': [
+ '<@(src_files)',
+ ],
+
+ # Settings which should be applied when a target's object files are used as linker input:
+ 'link_settings': {
+ # Define libraries:
+ 'libraries': [
+ '<@(libraries)',
+ ],
+
+ # Define library directories:
+ 'library_dirs': [
+ '<@(library_dirs)',
+ ],
+ },
+
+ # C/C++ compiler flags:
+ 'cflags': [
+ # Enable commonly used warning options:
+ '-Wall',
+
+ # Aggressive optimization:
+ '-O3',
+ ],
+
+ # C specific compiler flags:
+ 'cflags_c': [
+ # Specify the C standard to which a program is expected to conform:
+ '-std=c99',
+ ],
+
+ # C++ specific compiler flags:
+ 'cflags_cpp': [
+ # Specify the C++ standard to which a program is expected to conform:
+ '-std=c++11',
+ ],
+
+ # Linker flags:
+ 'ldflags': [],
+
+ # Apply conditions based on the host OS:
+ 'conditions': [
+ [
+ 'OS=="mac"',
+ {
+ # Linker flags:
+ 'ldflags': [
+ '-undefined dynamic_lookup',
+ '-Wl,-no-pie',
+ '-Wl,-search_paths_first',
+ ],
+ },
+ ], # end condition (OS=="mac")
+ [
+ 'OS!="win"',
+ {
+ # C/C++ flags:
+ 'cflags': [
+ # Generate platform-independent code:
+ '-fPIC',
+ ],
+ },
+ ], # end condition (OS!="win")
+ ], # end conditions
+ }, # end target <(addon_target_name)
+
+ # Target to copy a generated add-on to a standard location:
+ {
+ 'target_name': 'copy_addon',
+
+ # Declare that the output of this target is not linked:
+ 'type': 'none',
+
+ # Define dependencies:
+ 'dependencies': [
+ # Require that the add-on be generated before building this target:
+ '<(addon_target_name)',
+ ],
+
+ # Define a list of actions:
+ 'actions': [
+ {
+ 'action_name': 'copy_addon',
+ 'message': 'Copying addon...',
+
+ # Explicitly list the inputs in the command-line invocation below:
+ 'inputs': [],
+
+ # Declare the expected outputs:
+ 'outputs': [
+ '<(addon_output_dir)/<(addon_target_name).node',
+ ],
+
+ # Define the command-line invocation:
+ 'action': [
+ 'cp',
+ '<(PRODUCT_DIR)/<(addon_target_name).node',
+ '<(addon_output_dir)/<(addon_target_name).node',
+ ],
+ },
+ ], # end actions
+ }, # end target copy_addon
+ ], # end targets
+}
diff --git a/lib/node_modules/@stdlib/math/base/special/avercosf/docs/repl.txt b/lib/node_modules/@stdlib/math/base/special/avercosf/docs/repl.txt
new file mode 100644
index 000000000000..f5288ebea89b
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/avercosf/docs/repl.txt
@@ -0,0 +1,29 @@
+
+{{alias}}( x )
+ Computes the inverse versed cosine for a single-precision
+ floating-point number (in radians).
+
+ The inverse versed cosine is defined as `acosf(1+x)`.
+
+ If `x < -2`, `x > 0`, or `x` is `NaN`, the function returns `NaN`.
+
+ Parameters
+ ----------
+ x: number
+ Input value.
+
+ Returns
+ -------
+ y: number
+ Inverse versed cosine.
+
+ Examples
+ --------
+ > var y = {{alias}}( -1.5 )
+ ~2.0906
+ > y = {{alias}}( -0.0 )
+ 0.0
+
+ See Also
+ --------
+
diff --git a/lib/node_modules/@stdlib/math/base/special/avercosf/docs/types/index.d.ts b/lib/node_modules/@stdlib/math/base/special/avercosf/docs/types/index.d.ts
new file mode 100644
index 000000000000..3067cc2dc52c
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/avercosf/docs/types/index.d.ts
@@ -0,0 +1,48 @@
+/*
+* @license Apache-2.0
+*
+* Copyright (c) 2024 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+* http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+// TypeScript Version: 4.1
+
+/**
+* Computes the inverse versed cosine of a single-precision floating-point number (in radians).
+*
+* @param x - input value
+* @returns inverse versed cosine
+*
+* @example
+* var v = avercosf( 0.0 );
+* // returns 0.0
+*
+* @example
+* var v = avercosf( -3.141592653589793 / 2.0 );
+* // returns ~2.1783
+*
+* @example
+* var v = avercosf( -3.141592653589793 / 6.0 );
+* // returns ~1.0742
+*
+* @example
+* var v = avercosf( NaN );
+* // returns NaN
+*/
+declare function avercosf( x: number ): number;
+
+
+// EXPORTS //
+
+export = avercosf;
diff --git a/lib/node_modules/@stdlib/math/base/special/avercosf/docs/types/test.ts b/lib/node_modules/@stdlib/math/base/special/avercosf/docs/types/test.ts
new file mode 100644
index 000000000000..19dccc58c137
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/avercosf/docs/types/test.ts
@@ -0,0 +1,44 @@
+/*
+* @license Apache-2.0
+*
+* Copyright (c) 2024 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+* http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+import avercosf = require( './index' );
+
+
+// TESTS //
+
+// The function returns a number...
+{
+ avercosf( 8 ); // $ExpectType number
+}
+
+// The compiler throws an error if the function is provided a value other than a number...
+{
+ avercosf( true ); // $ExpectError
+ avercosf( false ); // $ExpectError
+ avercosf( null ); // $ExpectError
+ avercosf( undefined ); // $ExpectError
+ avercosf( '5' ); // $ExpectError
+ avercosf( [] ); // $ExpectError
+ avercosf( {} ); // $ExpectError
+ avercosf( ( x: number ): number => x ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided insufficient arguments...
+{
+ avercosf(); // $ExpectError
+}
diff --git a/lib/node_modules/@stdlib/math/base/special/avercosf/examples/c/Makefile b/lib/node_modules/@stdlib/math/base/special/avercosf/examples/c/Makefile
new file mode 100644
index 000000000000..6aed70daf167
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/avercosf/examples/c/Makefile
@@ -0,0 +1,146 @@
+#/
+# @license Apache-2.0
+#
+# Copyright (c) 2024 The Stdlib Authors.
+#
+# Licensed under the Apache License, Version 2.0 (the "License");
+# you may not use this file except in compliance with the License.
+# You may obtain a copy of the License at
+#
+# http://www.apache.org/licenses/LICENSE-2.0
+#
+# Unless required by applicable law or agreed to in writing, software
+# distributed under the License is distributed on an "AS IS" BASIS,
+# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+# See the License for the specific language governing permissions and
+# limitations under the License.
+#/
+
+# VARIABLES #
+
+ifndef VERBOSE
+ QUIET := @
+else
+ QUIET :=
+endif
+
+# Determine the OS ([1][1], [2][2]).
+#
+# [1]: https://en.wikipedia.org/wiki/Uname#Examples
+# [2]: http://stackoverflow.com/a/27776822/2225624
+OS ?= $(shell uname)
+ifneq (, $(findstring MINGW,$(OS)))
+ OS := WINNT
+else
+ifneq (, $(findstring MSYS,$(OS)))
+ OS := WINNT
+else
+ifneq (, $(findstring CYGWIN,$(OS)))
+ OS := WINNT
+else
+ifneq (, $(findstring Windows_NT,$(OS)))
+ OS := WINNT
+endif
+endif
+endif
+endif
+
+# Define the program used for compiling C source files:
+ifdef C_COMPILER
+ CC := $(C_COMPILER)
+else
+ CC := gcc
+endif
+
+# Define the command-line options when compiling C files:
+CFLAGS ?= \
+ -std=c99 \
+ -O3 \
+ -Wall \
+ -pedantic
+
+# Determine whether to generate position independent code ([1][1], [2][2]).
+#
+# [1]: https://gcc.gnu.org/onlinedocs/gcc/Code-Gen-Options.html#Code-Gen-Options
+# [2]: http://stackoverflow.com/questions/5311515/gcc-fpic-option
+ifeq ($(OS), WINNT)
+ fPIC ?=
+else
+ fPIC ?= -fPIC
+endif
+
+# List of includes (e.g., `-I /foo/bar -I /beep/boop/include`):
+INCLUDE ?=
+
+# List of source files:
+SOURCE_FILES ?=
+
+# List of libraries (e.g., `-lopenblas -lpthread`):
+LIBRARIES ?=
+
+# List of library paths (e.g., `-L /foo/bar -L /beep/boop`):
+LIBPATH ?=
+
+# List of C targets:
+c_targets := example.out
+
+
+# RULES #
+
+#/
+# Compiles source files.
+#
+# @param {string} [C_COMPILER] - C compiler (e.g., `gcc`)
+# @param {string} [CFLAGS] - C compiler options
+# @param {(string|void)} [fPIC] - compiler flag determining whether to generate position independent code (e.g., `-fPIC`)
+# @param {string} [INCLUDE] - list of includes (e.g., `-I /foo/bar -I /beep/boop/include`)
+# @param {string} [SOURCE_FILES] - list of source files
+# @param {string} [LIBPATH] - list of library paths (e.g., `-L /foo/bar -L /beep/boop`)
+# @param {string} [LIBRARIES] - list of libraries (e.g., `-lopenblas -lpthread`)
+#
+# @example
+# make
+#
+# @example
+# make all
+#/
+all: $(c_targets)
+
+.PHONY: all
+
+#/
+# Compiles C source files.
+#
+# @private
+# @param {string} CC - C compiler (e.g., `gcc`)
+# @param {string} CFLAGS - C compiler options
+# @param {(string|void)} fPIC - compiler flag determining whether to generate position independent code (e.g., `-fPIC`)
+# @param {string} INCLUDE - list of includes (e.g., `-I /foo/bar`)
+# @param {string} SOURCE_FILES - list of source files
+# @param {string} LIBPATH - list of library paths (e.g., `-L /foo/bar`)
+# @param {string} LIBRARIES - list of libraries (e.g., `-lopenblas`)
+#/
+$(c_targets): %.out: %.c
+ $(QUIET) $(CC) $(CFLAGS) $(fPIC) $(INCLUDE) -o $@ $(SOURCE_FILES) $< $(LIBPATH) -lm $(LIBRARIES)
+
+#/
+# Runs compiled examples.
+#
+# @example
+# make run
+#/
+run: $(c_targets)
+ $(QUIET) ./$<
+
+.PHONY: run
+
+#/
+# Removes generated files.
+#
+# @example
+# make clean
+#/
+clean:
+ $(QUIET) -rm -f *.o *.out
+
+.PHONY: clean
diff --git a/lib/node_modules/@stdlib/math/base/special/avercosf/examples/c/example.c b/lib/node_modules/@stdlib/math/base/special/avercosf/examples/c/example.c
new file mode 100644
index 000000000000..bcb40773ed8d
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/avercosf/examples/c/example.c
@@ -0,0 +1,31 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2024 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+* http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+#include "stdlib/math/base/special/avercosf.h"
+#include
+
+int main( void ) {
+ const float x[] = { -2.5f, -2.0f, -1.5f, -1.0f, -0.5f, 0.5f, 1.0f, 1.5f, 2.0f, 2.5f };
+
+ float v;
+ int i;
+ for ( i = 0; i < 10; i++ ) {
+ v = stdlib_base_avercosf( x[ i ] );
+ printf( "avercosf(%f) = %f\n", x[ i ], v );
+ }
+}
diff --git a/lib/node_modules/@stdlib/math/base/special/avercosf/examples/index.js b/lib/node_modules/@stdlib/math/base/special/avercosf/examples/index.js
new file mode 100644
index 000000000000..b32f816b66e5
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/avercosf/examples/index.js
@@ -0,0 +1,29 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2024 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+* http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+'use strict';
+
+var linspace = require( '@stdlib/array/base/linspace' );
+var avercosf = require( './../lib' );
+
+var x = linspace( -2.0, 0.0, 100 );
+
+var i;
+for ( i = 0; i < x.length; i++ ) {
+ console.log( 'avercosf(%d) = %d', x[ i ], avercosf( x[ i ] ) );
+}
diff --git a/lib/node_modules/@stdlib/math/base/special/avercosf/include.gypi b/lib/node_modules/@stdlib/math/base/special/avercosf/include.gypi
new file mode 100644
index 000000000000..575cb043c0bf
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/avercosf/include.gypi
@@ -0,0 +1,53 @@
+# @license Apache-2.0
+#
+# Copyright (c) 2024 The Stdlib Authors.
+#
+# Licensed under the Apache License, Version 2.0 (the "License");
+# you may not use this file except in compliance with the License.
+# You may obtain a copy of the License at
+#
+# http://www.apache.org/licenses/LICENSE-2.0
+#
+# Unless required by applicable law or agreed to in writing, software
+# distributed under the License is distributed on an "AS IS" BASIS,
+# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+# See the License for the specific language governing permissions and
+# limitations under the License.
+
+# A GYP include file for building a Node.js native add-on.
+#
+# Main documentation:
+#
+# [1]: https://gyp.gsrc.io/docs/InputFormatReference.md
+# [2]: https://gyp.gsrc.io/docs/UserDocumentation.md
+{
+ # Define variables to be used throughout the configuration for all targets:
+ 'variables': {
+ # Source directory:
+ 'src_dir': './src',
+
+ # Include directories:
+ 'include_dirs': [
+ '=0.10.0",
+ "npm": ">2.7.0"
+ },
+ "os": [
+ "aix",
+ "darwin",
+ "freebsd",
+ "linux",
+ "macos",
+ "openbsd",
+ "sunos",
+ "win32",
+ "windows"
+ ],
+ "keywords": [
+ "stdlib",
+ "stdmath",
+ "mathematics",
+ "math",
+ "avercos",
+ "avercosin",
+ "avercosine",
+ "arcvercos",
+ "arcvercosin",
+ "versed cosine",
+ "avercosinus",
+ "avcs",
+ "arc",
+ "versed",
+ "cosine",
+ "cos",
+ "acos",
+ "trig",
+ "trigonometry",
+ "radians",
+ "angle"
+ ]
+}
diff --git a/lib/node_modules/@stdlib/math/base/special/avercosf/src/Makefile b/lib/node_modules/@stdlib/math/base/special/avercosf/src/Makefile
new file mode 100644
index 000000000000..bcf18aa46655
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/avercosf/src/Makefile
@@ -0,0 +1,70 @@
+#/
+# @license Apache-2.0
+#
+# Copyright (c) 2024 The Stdlib Authors.
+#
+# Licensed under the Apache License, Version 2.0 (the "License");
+# you may not use this file except in compliance with the License.
+# You may obtain a copy of the License at
+#
+# http://www.apache.org/licenses/LICENSE-2.0
+#
+# Unless required by applicable law or agreed to in writing, software
+# distributed under the License is distributed on an "AS IS" BASIS,
+# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+# See the License for the specific language governing permissions and
+# limitations under the License.
+#/
+
+# VARIABLES #
+
+ifndef VERBOSE
+ QUIET := @
+else
+ QUIET :=
+endif
+
+# Determine the OS ([1][1], [2][2]).
+#
+# [1]: https://en.wikipedia.org/wiki/Uname#Examples
+# [2]: http://stackoverflow.com/a/27776822/2225624
+OS ?= $(shell uname)
+ifneq (, $(findstring MINGW,$(OS)))
+ OS := WINNT
+else
+ifneq (, $(findstring MSYS,$(OS)))
+ OS := WINNT
+else
+ifneq (, $(findstring CYGWIN,$(OS)))
+ OS := WINNT
+else
+ifneq (, $(findstring Windows_NT,$(OS)))
+ OS := WINNT
+endif
+endif
+endif
+endif
+
+
+# RULES #
+
+#/
+# Removes generated files for building an add-on.
+#
+# @example
+# make clean-addon
+#/
+clean-addon:
+ $(QUIET) -rm -f *.o *.node
+
+.PHONY: clean-addon
+
+#/
+# Removes generated files.
+#
+# @example
+# make clean
+#/
+clean: clean-addon
+
+.PHONY: clean
diff --git a/lib/node_modules/@stdlib/math/base/special/avercosf/src/addon.c b/lib/node_modules/@stdlib/math/base/special/avercosf/src/addon.c
new file mode 100644
index 000000000000..79b10ca4e4a4
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/avercosf/src/addon.c
@@ -0,0 +1,23 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2024 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+* http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+#include "stdlib/math/base/special/avercosf.h"
+#include "stdlib/math/base/napi/unary.h"
+
+// cppcheck-suppress shadowFunction
+STDLIB_MATH_BASE_NAPI_MODULE_F_F( stdlib_base_avercosf )
diff --git a/lib/node_modules/@stdlib/math/base/special/avercosf/src/main.c b/lib/node_modules/@stdlib/math/base/special/avercosf/src/main.c
new file mode 100644
index 000000000000..319c4151e5a1
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/avercosf/src/main.c
@@ -0,0 +1,34 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2024 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+* http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+#include "stdlib/math/base/special/avercosf.h"
+#include "stdlib/math/base/special/acosf.h"
+
+/**
+* Computes the inverse versed cosine of a single-precision floating-point number (in radians).
+*
+* @param x input value
+* @return output value
+*
+* @example
+* float out = stdlib_base_avercosf( -3.141592653589793f / 6.0f );
+* // returns ~1.0742f
+*/
+float stdlib_base_avercosf( const float x ) {
+ return stdlib_base_acosf( 1.0f + x );
+}
diff --git a/lib/node_modules/@stdlib/math/base/special/avercosf/test/fixtures/julia/REQUIRE b/lib/node_modules/@stdlib/math/base/special/avercosf/test/fixtures/julia/REQUIRE
new file mode 100644
index 000000000000..308c3be89c85
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/avercosf/test/fixtures/julia/REQUIRE
@@ -0,0 +1,2 @@
+julia 1.5
+JSON 0.21
diff --git a/lib/node_modules/@stdlib/math/base/special/avercosf/test/fixtures/julia/data.json b/lib/node_modules/@stdlib/math/base/special/avercosf/test/fixtures/julia/data.json
new file mode 100644
index 000000000000..33db1109bbd9
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/avercosf/test/fixtures/julia/data.json
@@ -0,0 +1 @@
+{"expected":[3.141592653589793,3.0968899159295704,3.078368169597412,3.0641523385199543,3.052164825964354,3.0416009650486693,3.032048109209716,3.0232611482004126,3.015080392498856,3.007394930597909,3.000124015175135,2.993206693537321,2.9865956153839868,2.9802531285805642,2.9741487074049333,2.968257196325838,2.962557573885255,2.957032059973097,2.9516654566376777,2.946444651841099,2.94135823947975,2.9363962240160113,2.931549787774237,2.9268111053803394,2.9221731941725437,2.9176297924112853,2.9131752592236726,2.908804491722087,2.9045128558259483,2.9002961281154374,2.8961504466403714,2.892072269054204,2.888058336782583,2.8841056441963073,2.880211411960091,2.8763730638859677,2.8725882067440525,2.8688546125815653,2.8651702031795017,2.8615330363393205,2.8579412937430306,2.8543932701715344,2.8508873638999837,2.8474220681168387,2.8439959632363605,2.840607709993412,2.8372560432254246,2.833939766259772,2.8306577458360223,2.827408907502071,2.824192231431213,2.8210067486140367,2.8178515373849,2.814725720247761,2.8116284609704114,2.8085589619198905,2.805516461615068,2.8025002324751407,2.799509578745209,2.7965438345822196,2.793602362286361,2.790684550664646,2.7877898135147903,2.7849175882187605,2.7820673344364515,2.779238532890916,2.7764306842374182,2.7736433080093637,2.7708759416348037,2.7681281395178248,2.7653994721796753,2.762689525454941,2.75999789973852,2.757324209279537,2.7546680815186555,2.7520291564655843,2.749407086113833,2.746801533890032,2.7442121741353454,2.7416386916167395,2.739080781066011,2.7365381467446843,2.73401050203303,2.731497569041573,2.728999078243628,2.7265147681274655,2.724044384866856,2.721587682008818,2.7191444201774777,2.716714366793043,2.7142972958049576,2.711892987438369,2.709501227953108,2.707121809414438,2.704754529474874,2.7023991911664207,2.700055602702645,2.6977235772900015,2.695402932947894,2.693093492336993,2.6907950825953364,2.688507535181793,2.6862306857264966,2.683964373887858,2.6817084432158182,2.6794627410210134,2.6772271182495295,2.675001429362975,2.6727855322235823,2.6705792879840935,2.6683825609821867,2.6661952186392117,2.664017131363026,2.661848172454733,2.6596882180191255,2.6575371468786586,2.65539484049079,2.653261182868519,2.6511360605039767,2.64901936229493,2.6469109794740615,2.6448108055408923,2.642718736196244,2.6406346692791067,2.638558504705816,2.63649014441144,2.6344294922932665,2.632376454156313,2.630330937660761,2.62829285227124,2.6262621092078744,2.624238621399031,2.6222223034356777,2.6202130715273073,2.6182108434593436,2.616215538551981,2.614227077620392,2.6122453829362544,2.610270378190535,2.608301988457493,2.6063401401598427,2.6043847610350364,2.6024357801026246,2.6004931276326477,2.5985567351150207,2.5966265352298783,2.594702461818836,2.592784449857136,2.590872435426649,2.5889663556896934,2.5870661488636437,2.585171754196305,2.5832831119420163,2.5814001633384613,2.579522850584166,2.577651116816646,2.575784906091193,2.573924163360272,2.572068834453508,2.5702188660582426,2.568374205700642,2.5665348017273324,2.564700603287554,2.5628715603158065,2.561047623514975,2.559228744339917,2.557414874981501,2.555605968351072,2.5538019780653425,2.552002858431679,2.55020856443379,2.5484190517177847,2.546634276578605,2.5448541959468054,2.5430787673756834,2.5413079490287407,2.5395416996674607,2.5377799786394104,2.5360227458666333,2.534269961834342,2.532521587579895,2.5307775846820437,2.5290379152504543,2.527302541915483,2.5255714278182047,2.523844536600686,2.5221218323964956,2.520403279821439,2.5186888439645236,2.516978490379137,2.5152721850744304,2.513569894506916,2.511871585572255,2.510177225597237,2.5084867823319543,2.5068002239421503,2.5051175190017476,2.503438636485547,2.501763545762094,2.500092216586706,2.498424619094659,2.4967607237945266,2.4951005015616685,2.4934439236318626,2.4917909615950804,2.4901415873894006,2.4884957732950523,2.4868534919285907,2.4852147162372007,2.4835794194931227,2.4819475752881957,2.4803191575285246,2.478694140429252,2.4770724985094468,2.475454206587102,2.4738392397742333,2.4722275734720807,2.4706191833664155,2.4690140454229392,2.4674121358827774,2.4658134312580717,2.4642179083276554,2.4626255441328193,2.4610363159731676,2.4594502014025514,2.4578671782250856,2.4562872244912506,2.4547103184940613,2.4531364387653234,2.4515655640719576,2.4499976734123923,2.4484327460130393,2.4468707613248237,2.44531169901979,2.443755538987773,2.442202261333131,2.440651846371539,2.43910427462685,2.437559526828011,2.436017583906034,2.434478426991036,2.4329420374093207,2.4314083966805238,2.429877486514807,2.428349288810108,2.4268237856494346,2.4253009592982178,2.4237807922017036,2.4222632669824007,2.420748366437568,2.4192360735367524,2.4177263714193673,2.416219243392318,2.4147146729276656,2.413212643660337,2.4117131393858706,2.4102161440582055,2.408721641787509,2.4072296168380394,2.405740053626052,2.4042529367177328,2.4027682508271773,2.401285980814397,2.3998061116833647,2.398328628580091,2.3968535167907326,2.395380761739737,2.3939103489880145,2.392442264231142,2.390976493297598,2.389513022147027,2.3880518368685304,2.3865929236789922,2.385136268921422,2.3836818590633366,2.3822296806951604,2.3807797205286545,2.379331965395373,2.3778864022451414,2.376443018144561,2.37500180027554,2.373562735933844,2.372125812527669,2.3706910175762452,2.369258338708455,2.367827763661472,2.366399280279432,2.3649728765121116,2.363548540413637,2.36212626014121,2.3607060239538518,2.35928782021117,2.3578716373721416,2.3564574639939164,2.3550452887306395,2.3536351003322897,2.352226887643536,2.350820639602614,2.3494163452402175,2.3480139936784035,2.346613574129522,2.3452150758951547,2.34381848836507,2.3424238010161984,2.34103100341162,2.339640085199563,2.3382510361124282,2.336863845965814,2.3354785046575666,2.3340950021668387,2.3327133285531634,2.3313334739555405,2.329955428591539,2.328579182756408,2.327204726822205,2.3258320512369326,2.3244611465236913,2.323092003279841,2.321724612176177,2.320358963956117,2.3189950494348976,2.317632859498786,2.316272385104298,2.314913617277431,2.3135565471129076,2.3122011657734234,2.310847464488915,2.3094954345558323,2.3081450673364188,2.3067963542580077,2.3054492868123235,2.3041038565547947,2.3027600551038736,2.3014178741403715,2.3000773054067922,2.298738340706686,2.2974009719040067,2.2960651909224734,2.2947309897449513,2.293398360412829,2.292067295025414,2.2907377857393296,2.289409824767922,2.288083404380676,2.286758516902637,2.2854351547138423,2.284113310248758,2.282792975995723,2.2814741444964026,2.280156808345247,2.2788409601889588,2.2775265927259625,2.276213698705889,2.2749022709290596,2.2735923022459783,2.2722837855568327,2.270976713811,2.2696710800065585,2.2683668771898047,2.2670640984547807,2.2657627369428006,2.26446278584199,2.2631642383868256,2.2618670878576843,2.2605713275803963,2.259276950925802,2.257983951309319,2.25669232219051,2.2554020570726574,2.254113149502344,2.2528255930690397,2.2515393814046876,2.2502545081833025,2.2489709671205724,2.2476887519734574,2.2464078565398062,2.2451282746579664,2.243850000206404,2.2425730271033277,2.2412973493063175,2.240022960811955,2.2387498556554624,2.2374780279103423,2.236207471688023,2.2349381811375086,2.2336701504450325,2.232403373833714,2.2311378455632216,2.2298735599294366,2.2286105112641255,2.227348693934609,2.2260881023434433,2.2248287309280976,2.223570574160641,2.222313626547428,2.221057882628793,2.219803336978743,2.2185499842046563,2.217297818946987,2.216046835878968,2.214797029706318,2.21354839516696,2.2123009270307277,2.211054620099091,2.209809469204875,2.208565469211983,2.207322615015127,2.2060809015395555,2.2048403237407905,2.2036008766043613,2.202362555145545,2.2011253544091094,2.199889269469057,2.1986542954283745,2.197420427418782,2.1961876606004864,2.194955990161941,2.193725411319597,2.192495919317673,2.1912675094279135,2.1900401769493563,2.1888139172081034,2.1875887255570907,2.186364597375861,2.185141528070343,2.183919513072627,2.182698547840748,2.1814786278584686,2.180259748635063,2.1790419057051063,2.1778250946282633,2.176609310989084,2.175394550396792,2.174180808485087,2.1729680809119403,2.171756363359396,2.170545651533374,2.1693359411634745,2.168127228002786,2.1669195078276924,2.165712776437684,2.1645070296551716,2.1633022633253,2.1620984733157647,2.1608956555166303,2.15969380584015,2.1584929202205885,2.1572929946140462,2.156094024998284,2.154896007372548,2.153698937757405,2.1525028121945677,2.151307626746728,2.1501133774973935,2.148920060550721,2.1477276720313534,2.146536208084262,2.1453456648745832,2.1441560385874627,2.1429673254278994,2.1417795216205886,2.1405926234097707,2.139406627059079,2.138221528851388,2.137037325088667,2.1358540120918303,2.134671586200592,2.133490043773323,2.1323093811869036,2.1311295948365867,2.1299506811358544,2.1287726365162793,2.127595457427386,2.126419140336517,2.1252436817286946,2.124069078106488,2.122895325989882,2.121722421916144,2.1205503624396926,2.1193791441319734,2.1182087635813254,2.117039217392858,2.115870502188325,2.1147026146059993,2.1135355513005516,2.112369308942927,2.111203884220224,2.110039273835576,2.108875474508033,2.107712482972442,2.106550295979331,2.1053889102947982,2.104228322700389,2.1030685299929917,2.1019095289847187,2.100751316502799,2.0995938893894657,2.0984372445018495,2.0972813787118665,2.0961262889061154,2.0949719719857676,2.093818424866464,2.092665644478209,2.0915136277652677,2.090362371686065,2.0892118732130807,2.0880621293327506,2.086913137045367,2.08576489336498,2.0846173953192957,2.0834706399495846,2.0823246243105813,2.081179345470389,2.0800348005103877,2.0788909865251366,2.077747900622284,2.0766055399224728,2.0754639015592504,2.0743229826789777,2.0731827804407392,2.0720432920162537,2.070904514589785,2.0697664453580567,2.0686290815301627,2.067492420327483,2.0663564589835977,2.0652211947442005,2.064086624867018,2.062952746621726,2.0618195572898625,2.060687054164752,2.0595552345514205,2.0584240957665156,2.0572936351382283,2.056163850006212,2.0550347377215044,2.0539062956464504,2.0527785211546257,2.0516514116307567,2.0505249644706494,2.04939917708111,2.048274046879872,2.047149571295524,2.046025747767432,2.044902573745671,2.0437800466909493,2.0426581640745387,2.0415369233782026,2.040416322094127,2.0392963577248486,2.038177027783186,2.037058329792173,2.035940261284986,2.0348228198048814,2.033706002905124,2.032589808148924,2.0314742331093676,2.0303592753693547,2.0292449325215314,2.0281312021682263,2.027018081921387,2.0259055694025165,2.024793662242609,2.0236823580820893,2.0225716545707484,2.021461549367685,2.0203520401412423,2.019243124568947,2.0181348003374517,2.0170270651424733,2.015919916688733,2.0148133526899015,2.0137073708685356,2.012601968956025,2.011497144692532,2.0103928958269353,2.0092892201167745,2.0081861153281935,2.0070835792358834,2.00598160962303,2.0048802042812577,2.0037793610105745,2.0026790776193186,2.0015793519241063,2.0004801817497757,1.999381564929337,1.9982834993039196,1.9971859827227183,1.9960890130429438,1.9949925881297712,1.9938967058562878,1.9928013641034443,1.991706560760005,1.9906122937224962,1.9895185608951587,1.9884253601898978,1.9873326895262362,1.9862405468312645,1.985148930039593,1.9840578370933055,1.982967265941912,1.9818772145423003,1.980787680858692,1.9796986628625945,1.9786101585327556,1.9775221658551185,1.9764346828227768,1.9753477074359285,1.9742612377018331,1.9731752716347668,1.9720898072559776,1.9710048425936437,1.9699203756828292,1.9688364045654407,1.9677529272901864,1.9666699419125315,1.965587446494658,1.964505439105423,1.963423917820316,1.962342880721418,1.961262325897363,1.9601822514432934,1.959102655460824,1.9580235360579987,1.9569448913492522,1.9558667194553714,1.9547890185034549,1.9537117866268736,1.9526350219652349,1.9515587226643412,1.9504828868761532,1.949407512758753,1.9483325984763047,1.9472581421990183,1.9461841421031125,1.945110596370778,1.9440375031901396,1.9429648607552226,1.9418926672659143,1.9408209209279288,1.9397496199527726,1.9386787625577084,1.9376083469657193,1.9365383714054754,1.935468834111298,1.9343997333231258,1.9333310672864812,1.932262834252435,1.9311950324775744,1.930127660223968,1.9290607157591337,1.9279941973560044,1.9269281032928973,1.9258624318534783,1.9247971813267326,1.9237323500069308,1.9226679361935965,1.9216039381914765,1.920540354310508,1.9194771828657866,1.9184144221775363,1.9173520705710785,1.9162901263768006,1.9152285879301256,1.9141674535714828,1.9131067216462752,1.912046390504853,1.9109864585024803,1.9099269239993082,1.9088677853603444,1.9078090409554227,1.9067506891591768,1.9056927283510092,1.9046351569150628,1.9035779732401936,1.9025211757199414,1.9014647627525016,1.9004087327406982,1.8993530840919548,1.898297815218268,1.897242924536179,1.896188410466748,1.8951342714355246,1.8940805058725234,1.8930271122121958,1.8919740888934033,1.890921434359392,1.8898691470577662,1.8888172254404605,1.8877656679637167,1.8867144730880554,1.8856636392782522,1.884613165003312,1.8835630487364416,1.8825132889550276,1.8814638841406093,1.8804148327788541,1.8793661333595335,1.878317784376498,1.8772697843276525,1.8762221317149321,1.875174825044279,1.874127862825616,1.8730812435728257,1.8720349658037245,1.8709890280400396,1.8699434288073864,1.868898166635244,1.8678532400569323,1.86680864760959,1.86576438783415,1.864720459275318,1.863676860481549,1.8626335900050255,1.8615906464016339,1.8605480282309441,1.8595057340561856,1.8584637624442264,1.8574221119655512,1.8563807811942383,1.8553397687079403,1.8542990730878608,1.853258692918733,1.8522186267887994,1.8511788732897902,1.8501394310169017,1.8491002985687763,1.8480614745474817,1.8470229575584882,1.8459847462106511,1.844946839116189,1.8439092348906616,1.842871932152953,1.8418349295252485,1.840798225633016,1.8397618191049863,1.838725708573132,1.8376898926726488,1.8366543700419369,1.8356191393225785,1.8345841991593215,1.833549548200059,1.832515185095809,1.8314811085006972,1.8304473170719375,1.829413809469812,1.8283805843576535,1.8273476404018267,1.8263149762717086,1.8252825906396708,1.824250482181062,1.8232186495741871,1.822187091500292,1.8211558066435438,1.820124793691012,1.8190940513326532,1.8180635782612913,1.8170333731725992,1.8160034347650835,1.8149737617400648,1.813944352801661,1.8129152066567706,1.811886322015054,1.8108576975889172,1.809829332093495,1.808801224246633,1.8077733727688705,1.8067457763834258,1.8057184338161762,1.8046913437956442,1.803664505052979,1.8026379163219404,1.801611576338883,1.8005854838427389,1.799559637575002,1.798534036279712,1.7975086787034371,1.7964835635952587,1.7954586897067564,1.79443405579199,1.793409660607485,1.7923855029122169,1.7913615814675943,1.7903378950374453,1.7893144423880003,1.7882912222878766,1.7872682335080636,1.7862454748219079,1.7852229450050965,1.7842006428356432,1.7831785670938727,1.7821567165624053,1.7811350900261422,1.7801136862722517,1.7790925040901517,1.778071542271498,1.7770507996101674,1.7760302749022432,1.7750099669460022,1.773989874541899,1.7729699964925507,1.7719503316027245,1.7709308786793223,1.7699116365313656,1.7688926039699835,1.7678737798083957,1.7668551628619011,1.7658367519478628,1.7648185458856929,1.76380054349684,1.762782743604776,1.7617651450349798,1.760747746614926,1.7597305471740705,1.7587135455438356,1.757696740557599,1.7566801310506779,1.7556637158603163,1.7546474938256726,1.7536314637878054,1.7526156245896591,1.7515999750760534,1.7505845140936676,1.7495692404910286,1.7485541531184976,1.7475392508282581,1.7465245324743006,1.745509996912412,1.744495643000161,1.7434814695968872,1.7424674755636864,1.741453659763399,1.7404400210605966,1.7394265583215707,1.7384132704143183,1.7374001562085308,1.7363872145755814,1.7353744443885115,1.7343618445220197,1.7333494138524488,1.7323371512577732,1.7313250556175876,1.7303131258130944,1.7293013607270904,1.7282897592439568,1.7272783202496453,1.726267042631667,1.7252559252790807,1.7242449670824795,1.7232341669339803,1.722223523727212,1.7212130363573024,1.7202027037208678,1.7191925247160005,1.7181824982422567,1.7171726232006466,1.716162898493621,1.7151533230250597,1.714143895700262,1.7131346154259328,1.712125481110172,1.7111164916624644,1.710107645993666,1.709098943015994,1.7080903816430155,1.7070819607896366,1.706073679372089,1.705065536307922,1.7040575305159888,1.7030496609164365,1.7020419264306947,1.7010343259814646,1.7000268584927078,1.6990195228896356,1.6980123180986975,1.6970052430475704,1.6959982966651488,1.694991477881532,1.6939847856280148,1.6929782188370766,1.6919717764423687,1.6909654573787072,1.6899592605820586,1.6889531849895312,1.687947229539364,1.6869413931709163,1.685935674824656,1.6849300734421506,1.6839245879660563,1.6829192173401057,1.6819139605091005,1.6809088164188986,1.6799037840164037,1.6788988622495569,1.6778940500673247,1.6768893464196881,1.6758847502576344,1.6748802605331456,1.6738758761991874,1.6728715962097012,1.671867419519591,1.670863345084716,1.669859371861879,1.6688554988088158,1.6678517248841866,1.666848049047565,1.665844470259427,1.6648409874811436,1.6638375996749681,1.6628343058040271,1.6618311048323116,1.6608279957246654,1.6598249774467755,1.6588220489651633,1.6578192092471737,1.6568164572609654,1.6558137919755014,1.654811212360539,1.6538087173866194,1.652806306025059,1.6518039772479396,1.650801730028097,1.6497995633391136,1.6487974761553066,1.6477954674517201,1.6467935362041146,1.6457916813889566,1.6447899019834107,1.6437881969653287,1.6427865653132403,1.6417850060063435,1.6407835180244956,1.6397821003482027,1.638780751958611,1.6377794718374972,1.636778258967258,1.6357771123309022,1.6347760309120403,1.6337750136948748,1.6327740596641915,1.6317731678053504,1.6307723371042742,1.6297715665474417,1.6287708551218767,1.6277702018151388,1.626769605615315,1.6257690655110086,1.6247685804913323,1.6237681495458967,1.622767771664802,1.6217674458386284,1.6207671710584282,1.6197669463157138,1.618766770602451,1.6177666429110489,1.61676656223435,1.6157665275656214,1.6147665378985472,1.6137665922272162,1.6127666895461155,1.61176682885012,1.6107670091344828,1.6097672293948277,1.6087674886271393,1.607767785827752,1.6067681199933441,1.605768490120927,1.6047688952078356,1.6037693342517203,1.6027698062505369,1.6017703102025387,1.6007708451062665,1.59977140996054,1.5987720037644482,1.5977726255173412,1.5967732742188199,1.5957739488687286,1.5947746484671448,1.59377537201437,1.5927761185109217,1.5917768869575237,1.590777676355097,1.589778485704751,1.5887793140077753,1.5877801602656283,1.5867810234799313,1.5857819026524578,1.5847827967851238,1.5837837048799805,1.5827846259392047,1.581785558965089,1.5807865029600348,1.5797874569265402,1.5787884198671944,1.5777893907846672,1.5767903686816986,1.575791352561093,1.5747923414257077,1.5737933342784447,1.5727943301222422,1.5717953279600654,1.5707963267948966,1.569797325629728,1.5687983234675509,1.5677993193113484,1.5668003121640857,1.5658013010287002,1.5648022849080947,1.5638032628051262,1.5628042337225987,1.561805196663253,1.5608061506297586,1.559807094624704,1.5588080276505885,1.5578089487098126,1.5568098568046695,1.5558107509373353,1.5548116301098618,1.5538124933241648,1.552813339582018,1.5518141678850421,1.5508149772346962,1.5498157666322696,1.5488165350788714,1.5478172815754232,1.5468180051226486,1.5458187047210645,1.5448193793709732,1.543820028072452,1.542820649825345,1.5418212436292533,1.5408218084835268,1.5398223433872547,1.5388228473392564,1.537823319338073,1.5368237583819577,1.535824163468866,1.534824533596449,1.5338248677620412,1.532825164962654,1.5318254241949654,1.5308256444553103,1.5298258247396734,1.5288259640436777,1.527826061362577,1.5268261156912462,1.5258261260241717,1.5248260913554434,1.5238260106787445,1.522825882987342,1.5218257072740795,1.5208254825313652,1.5198252077511647,1.5188248819249914,1.5178245040438967,1.516824073098461,1.5158235880787845,1.5148230479744784,1.5138224517746544,1.5128217984679164,1.5118210870423514,1.510820316485519,1.509819485784443,1.5088185939256016,1.5078176398949186,1.5068166226777528,1.505815541258891,1.5048143946225352,1.5038131817522962,1.502811901631182,1.5018105532415906,1.5008091355652977,1.4998076475834496,1.498806088276553,1.4978044566244646,1.4968027516063824,1.4958009722008365,1.4947991173856787,1.493797186138073,1.4927951774344865,1.4917930902506797,1.490790923561696,1.4897886763418535,1.488786347564734,1.4877839362031737,1.4867814412292542,1.4857788616142917,1.4847761963288277,1.4837734443426194,1.4827706046246298,1.4817676761430179,1.480764657865128,1.4797615487574816,1.478758347785766,1.4777550539148252,1.4767516661086495,1.475748183330366,1.4747446045422283,1.4737409287056065,1.4727371547809773,1.4717332817279143,1.4707293085050772,1.4697252340702023,1.4687210573800922,1.4677167773906057,1.4667123930566477,1.4657079033321587,1.4647033071701052,1.4636986035224686,1.4626937913402362,1.4616888695733894,1.4606838371708946,1.4596786930806926,1.4586734362496874,1.457668065623737,1.4566625801476425,1.4556569787651372,1.454651260418877,1.453645424050429,1.452639468600262,1.4516333930077348,1.450627196211086,1.4496208771474244,1.448614434752717,1.4476078679617785,1.4466011757082613,1.4455943569246446,1.4445874105422227,1.4435803354910959,1.4425731307001577,1.4415657950970853,1.4405583276083285,1.4395507271590984,1.4385429926733568,1.4375351230738043,1.4365271172818712,1.4355189742177041,1.4345106928001568,1.4335022719467776,1.4324937105737994,1.4314850075961274,1.4304761619273287,1.429467172479621,1.4284580381638605,1.4274487578895312,1.4264393305647336,1.4254297550961725,1.4244200303891468,1.4234101553475365,1.422400128873793,1.4213899498689255,1.4203796172324907,1.4193691298625812,1.418358486655813,1.4173476865073138,1.4163367283107124,1.415325610958126,1.4143143333401478,1.4133028943458363,1.4122912928627027,1.411279527776699,1.4102675979722055,1.40925550233202,1.4082432397373446,1.4072308090677734,1.4062182092012816,1.405205439014212,1.4041924973812623,1.403179383175475,1.4021660952682227,1.4011526325291968,1.4001389938263944,1.399125178026107,1.3981111839929061,1.397097010589632,1.3960826566773814,1.3950681211154927,1.394053402761535,1.3930385004712955,1.3920234130987648,1.3910081394961256,1.3899926785137398,1.388977029000134,1.387961189801988,1.3869451597641205,1.3859289377294768,1.3849125225391155,1.3838959130321942,1.3828791080459575,1.3818621064157228,1.3808449069748672,1.3798275085548135,1.3788099099850173,1.377792110092953,1.3767741077041005,1.3757559016419305,1.374737490727892,1.3737188737813977,1.37270004961981,1.3716810170584277,1.370661774910471,1.3696423219870686,1.3686226570972426,1.3676027790478942,1.366582686643791,1.36556237868755,1.3645418539796261,1.363521111318295,1.3625001494996414,1.3614789673175416,1.3604575635636509,1.359435937027388,1.3584140864959207,1.35739201075415,1.3563697085846966,1.3553471787678855,1.3543244200817295,1.3533014313019167,1.352278211201793,1.3512547585523478,1.3502310721221988,1.3492071506775765,1.3481829929823084,1.3471585977978033,1.3461339638830367,1.3451090899945344,1.3440839748863562,1.3430586173100814,1.342033016014791,1.3410071697470545,1.3399810772509102,1.3389547372678527,1.3379281485368142,1.336901309794149,1.3358742197736169,1.3348468772063675,1.3338192808209226,1.3327914293431604,1.3317633214962983,1.3307349560008759,1.3297063315747393,1.3286774469330227,1.3276483007881323,1.3266188918497286,1.3255892188247098,1.324559280417194,1.3235290753285018,1.3224986022571399,1.3214678598987812,1.3204368469462495,1.319405562089501,1.318374004015606,1.3173421714087312,1.3163100629501223,1.3152776773180848,1.3142450131879666,1.3132120692321396,1.3121788441199813,1.3111453365178558,1.3101115450890959,1.3090774684939843,1.3080431053897343,1.3070084544304716,1.3059735142672146,1.3049382835478565,1.3039027609171443,1.3028669450166614,1.301830834484807,1.3007944279567771,1.2997577240645446,1.2987207214368401,1.2976834186991315,1.2966458144736044,1.295607907379142,1.2945696960313051,1.2935311790423119,1.2924923550210168,1.2914532225728914,1.290413780300003,1.2893740268009937,1.2883339606710602,1.2872935805019323,1.2862528848818529,1.2852118723955548,1.2841705416242422,1.2831288911455667,1.2820869195336075,1.2810446253588492,1.2800020071881595,1.2789590635847679,1.277915793108244,1.2768721943144752,1.275828265755643,1.2747840059802031,1.2737394135328608,1.2726944869545491,1.2716492247824067,1.2706036255497535,1.2695576877860688,1.2685114100169674,1.2674647907641772,1.2664178285455145,1.265370521874861,1.2643228692621409,1.2632748692132953,1.2622265202302598,1.2611778208109392,1.260128769449184,1.2590793646347656,1.2580296048533517,1.2569794885864813,1.255929014311541,1.254878180501738,1.2538269856260769,1.2527754281493328,1.2517235065320271,1.250671219230401,1.24961856469639,1.2485655413775976,1.24751214771727,1.2464583821542687,1.2454042431230454,1.244349729053614,1.2432948383715252,1.2422395694978385,1.241183920849095,1.2401278908372915,1.239071477869852,1.2380146803495995,1.2369574966747305,1.2358999252387841,1.2348419644306163,1.2337836126343704,1.232724868229449,1.231665729590485,1.2306061950873128,1.2295462630849403,1.228485931943518,1.2274252000183106,1.2263640656596675,1.2253025272129927,1.2242405830187146,1.2231782314122568,1.2221154707240067,1.2210522992792852,1.2199887153983167,1.2189247173961968,1.2178603035828628,1.2167954722630605,1.2157302217363148,1.214664550296896,1.2135984562337887,1.2125319378306596,1.2114649933658252,1.2103976211122187,1.2093298193373583,1.2082615863033122,1.2071929202666676,1.2061238194784953,1.2050542821843178,1.2039843066240739,1.2029138910320847,1.2018430336370205,1.2007717326618645,1.199699986323879,1.1986277928345705,1.1975551503996535,1.1964820572190153,1.1954085114866806,1.1943345113907748,1.1932600551134886,1.1921851408310402,1.19110976671364,1.1900339309254524,1.1889576316245583,1.1878808669629195,1.1868036350863385,1.1857259341344217,1.184647762240541,1.1835691175317948,1.1824899981289694,1.1814104021464997,1.1803303276924304,1.179249772868375,1.1781687357694774,1.1770872144843703,1.1760052070951352,1.1749227116772618,1.1738397262996068,1.1727562490243524,1.171672277906964,1.1705878109961494,1.1695028463338155,1.1684173819550265,1.16733141588796,1.1662449461538646,1.1651579707670165,1.1640704877346746,1.1629824950570375,1.1618939907271988,1.1608049727311012,1.1597154390474929,1.1586253876478814,1.1575348164964878,1.1564437235502003,1.1553521067585288,1.154259964063557,1.1531672933998953,1.152074092694635,1.1509803598672972,1.1498860928297883,1.1487912894863488,1.1476959477335056,1.1466000654600221,1.1455036405468493,1.1444066708670748,1.1433091542858738,1.1422110886604562,1.1411124718400179,1.1400133016656873,1.1389135759704745,1.1378132925792188,1.1367124493085354,1.135611043966763,1.13450907435391,1.1334065382616,1.1323034334730189,1.131199757762858,1.1300955088972615,1.1289906846337683,1.1278852827212575,1.126779300899892,1.1256727369010602,1.1245655884473202,1.1234578532523414,1.122349529020846,1.1212406134485509,1.120131104222108,1.1190209990190447,1.1179102955077043,1.116798991347184,1.1156870841872768,1.1145745716684061,1.113461451421567,1.112347721068262,1.1112333782204387,1.1101184204804255,1.1090028454408694,1.107886650684669,1.1067698337849117,1.105652392304807,1.1045343237976204,1.103415625806607,1.1022962958649447,1.1011763314956662,1.1000557302115905,1.0989344895152546,1.0978126068988439,1.0966900798441221,1.095566905822361,1.0944430822942692,1.093318606709921,1.0921934765086836,1.0910676891191438,1.0899412419590364,1.0888141324351677,1.0876863579433427,1.086557915868289,1.0854288035835815,1.084299018451565,1.0831685578232777,1.082037419038373,1.0809055994250412,1.0797730962999306,1.0786399069680674,1.077506028722775,1.0763714588455928,1.075236194606196,1.0741002332623102,1.0729635720596304,1.0718262082317365,1.070688139000008,1.0695493615735394,1.068409873149054,1.0672696709108154,1.066128752030543,1.0649871136673206,1.0638447529675092,1.0627016670646565,1.0615578530794054,1.0604133081194043,1.0592680292792123,1.0581220136402085,1.0569752582704974,1.0558277602248136,1.054679516544426,1.0535305242570427,1.052380780376713,1.0512302819037285,1.0500790258245254,1.0489270091115845,1.0477742287233294,1.0466206816040255,1.0454663646836777,1.0443112748779266,1.043155409087944,1.0419987642003274,1.0408413370869944,1.0396831246050744,1.0385241235968015,1.0373643308894038,1.036203743294995,1.035042357610462,1.0338801706173515,1.0327171790817602,1.0315533797542171,1.0303887693695692,1.0292233446468664,1.0280571022892415,1.0268900389837936,1.0257221514014683,1.0245534361969353,1.0233838900084677,1.0222135094578197,1.0210422911501005,1.0198702316736497,1.0186973275999112,1.0175235754833052,1.0163489718610987,1.015173513253276,1.013997196162407,1.0128200170735138,1.0116419724539385,1.0104630587532064,1.0092832724028897,1.0081026098164707,1.006921067389201,1.0057386414979628,1.0045553285011262,1.0033711247384052,1.0021860265307143,1.0010000301800226,0.9998131319692045,0.9986253281618938,0.9974366150023303,0.9962469887152099,0.9950564455055313,0.9938649815584398,0.9926725930390725,0.9914792760923997,0.9902850268430652,0.9890898413952256,0.987893715832388,0.9866966462172452,0.9854986285915096,0.9842996589757467,0.9830997333692045,0.9818988477496432,0.980696998073163,0.9794941802740283,0.9782903902644929,0.9770856239346216,0.9758798771521092,0.974673145762101,0.973465425587007,0.9722567124263184,0.9710470020564193,0.9698362902303973,0.968624572677853,0.9674118451047063,0.9661981031930015,0.9649833426007094,0.9637675589615295,0.9625507478846871,0.96133290495473,0.9601140257313243,0.9588941057490449,0.9576731405171662,0.9564511255194506,0.9552280562139324,0.9540039280327027,0.9527787363816898,0.9515524766404369,0.9503251441618797,0.9490967342721202,0.9478672422701961,0.9466366634278526,0.9454049929893066,0.9441722261710115,0.9429383581614188,0.9417033841207363,0.940467299180684,0.9392300984442482,0.937991776985432,0.9367523298490025,0.9355117520502375,0.9342700385746663,0.9330271843778098,0.931783184384918,0.930538033490702,0.9292917265590656,0.9280442584228336,0.926795623883475,0.9255458177108256,0.9242948346428062,0.9230426693851368,0.9217893166110505,0.9205347709610003,0.9192790270423652,0.9180220794291523,0.9167639226616957,0.91550455124635,0.9142439596551842,0.9129821423256679,0.9117190936603564,0.9104548080265719,0.9091892797560794,0.9079225031447609,0.9066544724522845,0.9053851819017702,0.9041146256794508,0.9028427979343306,0.9015696927778382,0.9002953042834757,0.8990196264864654,0.8977426533833894,0.8964643789318268,0.895184797049987,0.8939039016163357,0.8926216864692209,0.8913381454064905,0.8900532721851059,0.8887670605207536,0.887479504087449,0.8861905965171359,0.8849003313992834,0.8836087022804742,0.8823157026639911,0.881021326009397,0.8797255657321087,0.8784284152029675,0.8771298677478033,0.8758299166469927,0.8745285551350125,0.8732257763999883,0.8719215735832349,0.870615939778793,0.8693088680329605,0.8680003513438151,0.8666903826607336,0.8653789548839042,0.8640660608638308,0.8627516934008347,0.8614358452445462,0.8601185090933907,0.8587996775940703,0.8574793433410355,0.8561574988759508,0.8548341366871564,0.8535092492091175,0.8521828288218712,0.8508548678504635,0.8495253585643789,0.848194293176964,0.8468616638448421,0.8455274626673198,0.8441916816857867,0.842854312883107,0.8415153481830012,0.8401747794494219,0.8388325984859192,0.8374887970349987,0.8361433667774695,0.8347962993317855,0.8334475862533745,0.8320972190339608,0.8307451891008781,0.8293914878163701,0.8280361064768857,0.826679036312362,0.8253202684854952,0.8239597940910073,0.8225976041548956,0.8212336896336764,0.8198680414136164,0.8185006503099526,0.8171315070661022,0.8157606023528606,0.8143879267675883,0.8130134708333849,0.8116372249982542,0.8102591796342526,0.8088793250366297,0.8074976514229543,0.8061141489322264,0.804728807623979,0.8033416174773649,0.80195256839023,0.8005616501781734,0.7991688525735946,0.7977741652247232,0.7963775776946385,0.7949790794602711,0.7935786599113898,0.7921763083495761,0.7907720139871792,0.7893657659462574,0.7879575532575038,0.7865473648591539,0.7851351895958769,0.783721016217652,0.7823048333786233,0.7808866296359412,0.7794663934485832,0.7780441131761562,0.7766197770776817,0.7751933733103613,0.773764889928321,0.7723343148813384,0.7709016360135476,0.7694668410621243,0.7680299176559494,0.7665908533142529,0.7651496354452321,0.7637062513446521,0.7622606881944205,0.7608129330611387,0.759362972894633,0.7579107945264567,0.7564563846683713,0.7549997299108013,0.7535408167212627,0.7520796314427666,0.7506161602921952,0.7491503893586513,0.7476823046017786,0.7462118918500561,0.7447391367990607,0.7432640250097023,0.7417865419064283,0.7403066727753963,0.7388244027626161,0.7373397168720605,0.7358525999637414,0.7343630367517535,0.7328710118022846,0.7313765095315877,0.7298795142039225,0.7283800099294562,0.7268779806621274,0.7253734101974754,0.7238662821704261,0.722356580053041,0.7208442871522253,0.7193293866073927,0.7178118613880895,0.7162916942915756,0.7147688679403585,0.7132433647796854,0.711715167074986,0.7101842569092696,0.7086506161804725,0.7071142265987573,0.7055750696837594,0.7040331267617826,0.7024883789629428,0.700940807218254,0.6993903922566621,0.6978371146020198,0.6962809545700033,0.6947218922649698,0.6931599075767539,0.6915949801774007,0.6900270895178361,0.6884562148244697,0.6868823350957322,0.685305429098543,0.6837254753647074,0.6821424521872419,0.6805563376166255,0.678967109456974,0.677374745262138,0.6757792223317213,0.6741805177070157,0.6725786081668541,0.6709734702233776,0.6693650801177127,0.66775341381556,0.6661384470026908,0.6645201550803462,0.6628985131605413,0.6612734960612684,0.6596450783015974,0.658013234096671,0.6563779373525926,0.6547391616612026,0.6530968802947409,0.6514510662003924,0.6498016919947126,0.648148729957931,0.6464921520281249,0.6448319297952665,0.6431680344951343,0.6415004370030873,0.6398291078276992,0.6381540171042461,0.6364751345880456,0.6347924296476428,0.633105871257839,0.6314154279925565,0.6297210680175384,0.6280227590828767,0.6263204685153628,0.6246141632106564,0.6229038096252694,0.6211893737683545,0.6194708211932979,0.6177481169891069,0.6160212257715887,0.6142901116743105,0.612554738339339,0.6108150689077494,0.6090710660098982,0.6073226917554511,0.6055699077231601,0.6038126749503832,0.6020509539223328,0.6002847045610528,0.5985138862141094,0.5967384576429878,0.5949583770111881,0.5931736018720082,0.5913840891560034,0.5895897951581142,0.5877906755244509,0.585986685238721,0.5841777786082923,0.5823639092498761,0.5805450300748183,0.5787210932739867,0.5768920503022392,0.5750578518624611,0.5732184478891516,0.5713737875315507,0.5695238191362854,0.5676684902295215,0.5658077474986006,0.5639415367731474,0.5620698030056273,0.5601924902513319,0.558309541647777,0.556420899393488,0.5545265047261494,0.5526262979000998,0.550720218163144,0.5488082037326573,0.5468901917709573,0.5449661183599149,0.5430359184747727,0.5410995259571456,0.5391568734871683,0.5372078925547566,0.5352525134299506,0.5332906651323,0.5313222753992581,0.5293472706535389,0.5273655759694011,0.5253771150378124,0.5233818101304497,0.5213795820624861,0.5193703501541156,0.5173540321907626,0.5153305443819188,0.5132998013185535,0.5112617159290321,0.5092161994334803,0.5071631612965265,0.5051025091783532,0.5030341488839771,0.5009579843106865,0.4988739173935489,0.49678184804890085,0.494681674115732,0.49257329129486277,0.49045659308581646,0.4883314707212742,0.4861978130990029,0.48405550671113473,0.4819044355706679,0.4797444811350598,0.47757552222676714,0.4753974349505818,0.4732100926076066,0.4710133656056998,0.46880712136621133,0.46659122422681837,0.4643655353402636,0.46212991256878005,0.4598842103739751,0.4576282797019354,0.4553619678632964,0.4530851184080002,0.45079757099445705,0.4484991612528,0.4461897206418992,0.44386907629979167,0.44153705088714773,0.43919346242337254,0.43683812411491957,0.4344708441753548,0.43209142563668546,0.4296996661514246,0.4272953577848353,0.42487828679675005,0.4224482334123157,0.42000497158097555,0.4175482687229375,0.4150778854623282,0.41259357534616536,0.41009508454822013,0.40758215155676353,0.40505450684510874,0.40251187252378223,0.39995396197305344,0.3973804794544479,0.3947911196997614,0.3921855674759597,0.38956349712420885,0.3869245720711375,0.3842684443102561,0.38159475385127317,0.3789031281348525,0.37619318141011754,0.3734645140719684,0.3707167119549899,0.36794934558042947,0.36516196935237527,0.36235412069887735,0.35952531915334157,0.3566750653710329,0.35380284007500307,0.35090810292514724,0.34799029130343223,0.345048819007574,0.3420830748445843,0.3390924211146525,0.3360761919747248,0.3330336916699029,0.32996419261938165,0.32686693334203176,0.3237411162048935,0.320585904975757,0.31740042215857983,0.3141837460877224,0.31093490775377153,0.30765288733002066,0.3043366103643685,0.3009849435963817,0.2975966903534324,0.29417058547295444,0.29070528968980985,0.28719938341825896,0.2836513598467625,0.2800596172504731,0.27642245041029156,0.27273804100822796,0.2690044468457411,0.2652195897038253,0.26138124162970217,0.2574870093934855,0.2535343168072103,0.2495203845355891,0.24544220694942132,0.241296525474356,0.23707979776384536,0.23278816186770565,0.22841739436612082,0.2239628611785085,0.21941945941724922,0.2147815482094537,0.21004286581555673,0.20519642957378156,0.20023441411004353,0.1951480017486949,0.1899271969521157,0.18456059361669613,0.1790350797045388,0.17333545726395508,0.16744394618485994,0.1613395250092296,0.15499703820580663,0.14838596005247204,0.14146863841465734,0.13419772299188398,0.12651226109093763,0.1183315053893799,0.10954454438007719,0.09999168854112497,0.0894278276254381,0.07744031506983888,0.06322448399238306,0.044702737660220405,0.0],"x":[-2.0,-1.999000999000999,-1.998001998001998,-1.997002997002997,-1.996003996003996,-1.995004995004995,-1.994005994005994,-1.993006993006993,-1.992007992007992,-1.991008991008991,-1.99000999000999,-1.989010989010989,-1.988011988011988,-1.9870129870129871,-1.986013986013986,-1.985014985014985,-1.9840159840159841,-1.983016983016983,-1.982017982017982,-1.981018981018981,-1.98001998001998,-1.979020979020979,-1.978021978021978,-1.977022977022977,-1.976023976023976,-1.975024975024975,-1.974025974025974,-1.973026973026973,-1.972027972027972,-1.971028971028971,-1.97002997002997,-1.969030969030969,-1.968031968031968,-1.967032967032967,-1.966033966033966,-1.965034965034965,-1.9640359640359641,-1.963036963036963,-1.962037962037962,-1.9610389610389611,-1.96003996003996,-1.959040959040959,-1.9580419580419581,-1.957042957042957,-1.956043956043956,-1.9550449550449551,-1.954045954045954,-1.953046953046953,-1.9520479520479521,-1.951048951048951,-1.95004995004995,-1.949050949050949,-1.948051948051948,-1.947052947052947,-1.946053946053946,-1.945054945054945,-1.944055944055944,-1.943056943056943,-1.942057942057942,-1.9410589410589412,-1.94005994005994,-1.939060939060939,-1.9380619380619382,-1.937062937062937,-1.936063936063936,-1.9350649350649352,-1.934065934065934,-1.933066933066933,-1.9320679320679321,-1.931068931068931,-1.93006993006993,-1.9290709290709291,-1.928071928071928,-1.927072927072927,-1.9260739260739261,-1.925074925074925,-1.924075924075924,-1.9230769230769231,-1.922077922077922,-1.921078921078921,-1.9200799200799201,-1.919080919080919,-1.9180819180819182,-1.9170829170829171,-1.916083916083916,-1.9150849150849152,-1.914085914085914,-1.913086913086913,-1.9120879120879122,-1.911088911088911,-1.91008991008991,-1.9090909090909092,-1.908091908091908,-1.907092907092907,-1.9060939060939062,-1.905094905094905,-1.904095904095904,-1.9030969030969032,-1.902097902097902,-1.901098901098901,-1.9000999000999002,-1.899100899100899,-1.898101898101898,-1.8971028971028971,-1.896103896103896,-1.8951048951048952,-1.8941058941058941,-1.893106893106893,-1.8921078921078922,-1.8911088911088911,-1.89010989010989,-1.8891108891108892,-1.8881118881118881,-1.887112887112887,-1.8861138861138862,-1.8851148851148851,-1.884115884115884,-1.8831168831168832,-1.8821178821178821,-1.881118881118881,-1.8801198801198802,-1.879120879120879,-1.878121878121878,-1.8771228771228772,-1.876123876123876,-1.875124875124875,-1.8741258741258742,-1.873126873126873,-1.872127872127872,-1.8711288711288712,-1.87012987012987,-1.8691308691308692,-1.8681318681318682,-1.867132867132867,-1.8661338661338662,-1.8651348651348651,-1.864135864135864,-1.8631368631368632,-1.8621378621378621,-1.861138861138861,-1.8601398601398602,-1.8591408591408591,-1.858141858141858,-1.8571428571428572,-1.8561438561438561,-1.855144855144855,-1.8541458541458542,-1.8531468531468531,-1.852147852147852,-1.8511488511488512,-1.8501498501498501,-1.849150849150849,-1.8481518481518482,-1.847152847152847,-1.8461538461538463,-1.8451548451548452,-1.844155844155844,-1.8431568431568432,-1.8421578421578422,-1.841158841158841,-1.8401598401598402,-1.8391608391608392,-1.838161838161838,-1.8371628371628372,-1.8361638361638362,-1.835164835164835,-1.8341658341658342,-1.8331668331668332,-1.832167832167832,-1.8311688311688312,-1.8301698301698301,-1.829170829170829,-1.8281718281718282,-1.8271728271728271,-1.826173826173826,-1.8251748251748252,-1.8241758241758241,-1.8231768231768233,-1.8221778221778222,-1.8211788211788211,-1.8201798201798203,-1.8191808191808192,-1.8181818181818181,-1.8171828171828173,-1.8161838161838162,-1.8151848151848151,-1.8141858141858143,-1.8131868131868132,-1.812187812187812,-1.8111888111888113,-1.8101898101898102,-1.809190809190809,-1.8081918081918082,-1.8071928071928072,-1.806193806193806,-1.8051948051948052,-1.8041958041958042,-1.803196803196803,-1.8021978021978022,-1.8011988011988012,-1.8001998001998003,-1.7992007992007992,-1.7982017982017982,-1.7972027972027973,-1.7962037962037962,-1.7952047952047951,-1.7942057942057943,-1.7932067932067932,-1.7922077922077921,-1.7912087912087913,-1.7902097902097902,-1.7892107892107891,-1.7882117882117883,-1.7872127872127872,-1.7862137862137861,-1.7852147852147853,-1.7842157842157842,-1.7832167832167831,-1.7822177822177823,-1.7812187812187812,-1.7802197802197801,-1.7792207792207793,-1.7782217782217782,-1.7772227772227773,-1.7762237762237763,-1.7752247752247752,-1.7742257742257743,-1.7732267732267732,-1.7722277722277722,-1.7712287712287713,-1.7702297702297702,-1.7692307692307692,-1.7682317682317683,-1.7672327672327672,-1.7662337662337662,-1.7652347652347653,-1.7642357642357642,-1.7632367632367631,-1.7622377622377623,-1.7612387612387612,-1.7602397602397601,-1.7592407592407593,-1.7582417582417582,-1.7572427572427571,-1.7562437562437563,-1.7552447552447552,-1.7542457542457544,-1.7532467532467533,-1.7522477522477522,-1.7512487512487513,-1.7502497502497503,-1.7492507492507492,-1.7482517482517483,-1.7472527472527473,-1.7462537462537462,-1.7452547452547453,-1.7442557442557443,-1.7432567432567432,-1.7422577422577423,-1.7412587412587412,-1.7402597402597402,-1.7392607392607393,-1.7382617382617382,-1.7372627372627372,-1.7362637362637363,-1.7352647352647352,-1.7342657342657342,-1.7332667332667333,-1.7322677322677322,-1.7312687312687314,-1.7302697302697303,-1.7292707292707292,-1.7282717282717284,-1.7272727272727273,-1.7262737262737262,-1.7252747252747254,-1.7242757242757243,-1.7232767232767232,-1.7222777222777224,-1.7212787212787213,-1.7202797202797202,-1.7192807192807193,-1.7182817182817183,-1.7172827172827172,-1.7162837162837163,-1.7152847152847153,-1.7142857142857142,-1.7132867132867133,-1.7122877122877123,-1.7112887112887112,-1.7102897102897103,-1.7092907092907093,-1.7082917082917084,-1.7072927072927073,-1.7062937062937062,-1.7052947052947054,-1.7042957042957043,-1.7032967032967032,-1.7022977022977024,-1.7012987012987013,-1.7002997002997002,-1.6993006993006994,-1.6983016983016983,-1.6973026973026972,-1.6963036963036964,-1.6953046953046953,-1.6943056943056942,-1.6933066933066934,-1.6923076923076923,-1.6913086913086912,-1.6903096903096904,-1.6893106893106893,-1.6883116883116882,-1.6873126873126874,-1.6863136863136863,-1.6853146853146854,-1.6843156843156843,-1.6833166833166833,-1.6823176823176824,-1.6813186813186813,-1.6803196803196803,-1.6793206793206794,-1.6783216783216783,-1.6773226773226773,-1.6763236763236764,-1.6753246753246753,-1.6743256743256743,-1.6733266733266734,-1.6723276723276723,-1.6713286713286712,-1.6703296703296704,-1.6693306693306693,-1.6683316683316682,-1.6673326673326674,-1.6663336663336663,-1.6653346653346652,-1.6643356643356644,-1.6633366633366633,-1.6623376623376624,-1.6613386613386614,-1.6603396603396603,-1.6593406593406594,-1.6583416583416584,-1.6573426573426573,-1.6563436563436564,-1.6553446553446554,-1.6543456543456543,-1.6533466533466534,-1.6523476523476524,-1.6513486513486513,-1.6503496503496504,-1.6493506493506493,-1.6483516483516483,-1.6473526473526474,-1.6463536463536463,-1.6453546453546453,-1.6443556443556444,-1.6433566433566433,-1.6423576423576423,-1.6413586413586414,-1.6403596403596403,-1.6393606393606395,-1.6383616383616384,-1.6373626373626373,-1.6363636363636365,-1.6353646353646354,-1.6343656343656343,-1.6333666333666335,-1.6323676323676324,-1.6313686313686313,-1.6303696303696305,-1.6293706293706294,-1.6283716283716283,-1.6273726273726274,-1.6263736263736264,-1.6253746253746253,-1.6243756243756244,-1.6233766233766234,-1.6223776223776223,-1.6213786213786214,-1.6203796203796204,-1.6193806193806193,-1.6183816183816184,-1.6173826173826173,-1.6163836163836163,-1.6153846153846154,-1.6143856143856143,-1.6133866133866135,-1.6123876123876124,-1.6113886113886113,-1.6103896103896105,-1.6093906093906094,-1.6083916083916083,-1.6073926073926075,-1.6063936063936064,-1.6053946053946053,-1.6043956043956045,-1.6033966033966034,-1.6023976023976023,-1.6013986013986015,-1.6003996003996004,-1.5994005994005993,-1.5984015984015985,-1.5974025974025974,-1.5964035964035963,-1.5954045954045954,-1.5944055944055944,-1.5934065934065933,-1.5924075924075924,-1.5914085914085914,-1.5904095904095905,-1.5894105894105894,-1.5884115884115884,-1.5874125874125875,-1.5864135864135864,-1.5854145854145854,-1.5844155844155845,-1.5834165834165834,-1.5824175824175823,-1.5814185814185815,-1.5804195804195804,-1.5794205794205793,-1.5784215784215785,-1.5774225774225774,-1.5764235764235763,-1.5754245754245755,-1.5744255744255744,-1.5734265734265733,-1.5724275724275725,-1.5714285714285714,-1.5704295704295703,-1.5694305694305695,-1.5684315684315684,-1.5674325674325675,-1.5664335664335665,-1.5654345654345654,-1.5644355644355645,-1.5634365634365635,-1.5624375624375624,-1.5614385614385615,-1.5604395604395604,-1.5594405594405594,-1.5584415584415585,-1.5574425574425574,-1.5564435564435564,-1.5554445554445555,-1.5544455544455544,-1.5534465534465534,-1.5524475524475525,-1.5514485514485514,-1.5504495504495504,-1.5494505494505495,-1.5484515484515484,-1.5474525474525473,-1.5464535464535465,-1.5454545454545454,-1.5444555444555446,-1.5434565434565435,-1.5424575424575424,-1.5414585414585416,-1.5404595404595405,-1.5394605394605394,-1.5384615384615385,-1.5374625374625375,-1.5364635364635364,-1.5354645354645355,-1.5344655344655345,-1.5334665334665334,-1.5324675324675325,-1.5314685314685315,-1.5304695304695304,-1.5294705294705295,-1.5284715284715285,-1.5274725274725274,-1.5264735264735265,-1.5254745254745254,-1.5244755244755244,-1.5234765234765235,-1.5224775224775224,-1.5214785214785216,-1.5204795204795205,-1.5194805194805194,-1.5184815184815186,-1.5174825174825175,-1.5164835164835164,-1.5154845154845156,-1.5144855144855145,-1.5134865134865134,-1.5124875124875126,-1.5114885114885115,-1.5104895104895104,-1.5094905094905096,-1.5084915084915085,-1.5074925074925074,-1.5064935064935066,-1.5054945054945055,-1.5044955044955044,-1.5034965034965035,-1.5024975024975025,-1.5014985014985014,-1.5004995004995005,-1.4995004995004995,-1.4985014985014986,-1.4975024975024975,-1.4965034965034965,-1.4955044955044956,-1.4945054945054945,-1.4935064935064934,-1.4925074925074926,-1.4915084915084915,-1.4905094905094904,-1.4895104895104896,-1.4885114885114885,-1.4875124875124874,-1.4865134865134866,-1.4855144855144855,-1.4845154845154844,-1.4835164835164836,-1.4825174825174825,-1.4815184815184814,-1.4805194805194806,-1.4795204795204795,-1.4785214785214784,-1.4775224775224776,-1.4765234765234765,-1.4755244755244756,-1.4745254745254746,-1.4735264735264735,-1.4725274725274726,-1.4715284715284715,-1.4705294705294705,-1.4695304695304696,-1.4685314685314685,-1.4675324675324675,-1.4665334665334666,-1.4655344655344655,-1.4645354645354645,-1.4635364635364636,-1.4625374625374625,-1.4615384615384615,-1.4605394605394606,-1.4595404595404595,-1.4585414585414584,-1.4575424575424576,-1.4565434565434565,-1.4555444555444554,-1.4545454545454546,-1.4535464535464535,-1.4525474525474527,-1.4515484515484516,-1.4505494505494505,-1.4495504495504496,-1.4485514485514486,-1.4475524475524475,-1.4465534465534466,-1.4455544455544456,-1.4445554445554445,-1.4435564435564436,-1.4425574425574426,-1.4415584415584415,-1.4405594405594406,-1.4395604395604396,-1.4385614385614385,-1.4375624375624376,-1.4365634365634365,-1.4355644355644355,-1.4345654345654346,-1.4335664335664335,-1.4325674325674325,-1.4315684315684316,-1.4305694305694305,-1.4295704295704297,-1.4285714285714286,-1.4275724275724275,-1.4265734265734267,-1.4255744255744256,-1.4245754245754245,-1.4235764235764237,-1.4225774225774226,-1.4215784215784215,-1.4205794205794207,-1.4195804195804196,-1.4185814185814185,-1.4175824175824177,-1.4165834165834166,-1.4155844155844155,-1.4145854145854146,-1.4135864135864136,-1.4125874125874125,-1.4115884115884116,-1.4105894105894106,-1.4095904095904095,-1.4085914085914086,-1.4075924075924076,-1.4065934065934067,-1.4055944055944056,-1.4045954045954046,-1.4035964035964037,-1.4025974025974026,-1.4015984015984015,-1.4005994005994007,-1.3996003996003996,-1.3986013986013985,-1.3976023976023977,-1.3966033966033966,-1.3956043956043955,-1.3946053946053947,-1.3936063936063936,-1.3926073926073925,-1.3916083916083917,-1.3906093906093906,-1.3896103896103895,-1.3886113886113887,-1.3876123876123876,-1.3866133866133865,-1.3856143856143857,-1.3846153846153846,-1.3836163836163837,-1.3826173826173827,-1.3816183816183816,-1.3806193806193807,-1.3796203796203796,-1.3786213786213786,-1.3776223776223777,-1.3766233766233766,-1.3756243756243756,-1.3746253746253747,-1.3736263736263736,-1.3726273726273726,-1.3716283716283717,-1.3706293706293706,-1.3696303696303695,-1.3686313686313687,-1.3676323676323676,-1.3666333666333665,-1.3656343656343657,-1.3646353646353646,-1.3636363636363635,-1.3626373626373627,-1.3616383616383616,-1.3606393606393605,-1.3596403596403597,-1.3586413586413586,-1.3576423576423577,-1.3566433566433567,-1.3556443556443556,-1.3546453546453547,-1.3536463536463537,-1.3526473526473526,-1.3516483516483517,-1.3506493506493507,-1.3496503496503496,-1.3486513486513487,-1.3476523476523476,-1.3466533466533466,-1.3456543456543457,-1.3446553446553446,-1.3436563436563436,-1.3426573426573427,-1.3416583416583416,-1.3406593406593406,-1.3396603396603397,-1.3386613386613386,-1.3376623376623376,-1.3366633366633367,-1.3356643356643356,-1.3346653346653348,-1.3336663336663337,-1.3326673326673326,-1.3316683316683318,-1.3306693306693307,-1.3296703296703296,-1.3286713286713288,-1.3276723276723277,-1.3266733266733266,-1.3256743256743257,-1.3246753246753247,-1.3236763236763236,-1.3226773226773227,-1.3216783216783217,-1.3206793206793206,-1.3196803196803197,-1.3186813186813187,-1.3176823176823176,-1.3166833166833167,-1.3156843156843157,-1.3146853146853146,-1.3136863136863137,-1.3126873126873126,-1.3116883116883118,-1.3106893106893107,-1.3096903096903096,-1.3086913086913088,-1.3076923076923077,-1.3066933066933066,-1.3056943056943058,-1.3046953046953047,-1.3036963036963036,-1.3026973026973028,-1.3016983016983017,-1.3006993006993006,-1.2997002997002998,-1.2987012987012987,-1.2977022977022976,-1.2967032967032968,-1.2957042957042957,-1.2947052947052946,-1.2937062937062938,-1.2927072927072927,-1.2917082917082916,-1.2907092907092907,-1.2897102897102897,-1.2887112887112888,-1.2877122877122877,-1.2867132867132867,-1.2857142857142858,-1.2847152847152847,-1.2837162837162837,-1.2827172827172828,-1.2817182817182817,-1.2807192807192807,-1.2797202797202798,-1.2787212787212787,-1.2777222777222776,-1.2767232767232768,-1.2757242757242757,-1.2747252747252746,-1.2737262737262738,-1.2727272727272727,-1.2717282717282716,-1.2707292707292708,-1.2697302697302697,-1.2687312687312686,-1.2677322677322678,-1.2667332667332667,-1.2657342657342658,-1.2647352647352648,-1.2637362637362637,-1.2627372627372628,-1.2617382617382618,-1.2607392607392607,-1.2597402597402598,-1.2587412587412588,-1.2577422577422577,-1.2567432567432568,-1.2557442557442557,-1.2547452547452547,-1.2537462537462538,-1.2527472527472527,-1.2517482517482517,-1.2507492507492508,-1.2497502497502497,-1.2487512487512487,-1.2477522477522478,-1.2467532467532467,-1.2457542457542456,-1.2447552447552448,-1.2437562437562437,-1.2427572427572429,-1.2417582417582418,-1.2407592407592407,-1.2397602397602399,-1.2387612387612388,-1.2377622377622377,-1.2367632367632369,-1.2357642357642358,-1.2347652347652347,-1.2337662337662338,-1.2327672327672328,-1.2317682317682317,-1.2307692307692308,-1.2297702297702298,-1.2287712287712287,-1.2277722277722278,-1.2267732267732268,-1.2257742257742257,-1.2247752247752248,-1.2237762237762237,-1.2227772227772227,-1.2217782217782218,-1.2207792207792207,-1.2197802197802199,-1.2187812187812188,-1.2177822177822177,-1.2167832167832169,-1.2157842157842158,-1.2147852147852147,-1.2137862137862139,-1.2127872127872128,-1.2117882117882117,-1.2107892107892109,-1.2097902097902098,-1.2087912087912087,-1.2077922077922079,-1.2067932067932068,-1.2057942057942057,-1.2047952047952049,-1.2037962037962038,-1.2027972027972027,-1.2017982017982018,-1.2007992007992008,-1.1998001998001997,-1.1988011988011988,-1.1978021978021978,-1.196803196803197,-1.1958041958041958,-1.1948051948051948,-1.193806193806194,-1.1928071928071928,-1.1918081918081918,-1.190809190809191,-1.1898101898101898,-1.1888111888111887,-1.187812187812188,-1.1868131868131868,-1.1858141858141857,-1.1848151848151849,-1.1838161838161838,-1.1828171828171827,-1.1818181818181819,-1.1808191808191808,-1.1798201798201797,-1.1788211788211789,-1.1778221778221778,-1.1768231768231767,-1.1758241758241759,-1.1748251748251748,-1.173826173826174,-1.1728271728271729,-1.1718281718281718,-1.170829170829171,-1.1698301698301699,-1.1688311688311688,-1.167832167832168,-1.1668331668331668,-1.1658341658341658,-1.164835164835165,-1.1638361638361638,-1.1628371628371628,-1.161838161838162,-1.1608391608391608,-1.1598401598401598,-1.158841158841159,-1.1578421578421578,-1.1568431568431568,-1.155844155844156,-1.1548451548451548,-1.1538461538461537,-1.152847152847153,-1.1518481518481518,-1.150849150849151,-1.1498501498501499,-1.1488511488511488,-1.147852147852148,-1.1468531468531469,-1.1458541458541458,-1.144855144855145,-1.1438561438561439,-1.1428571428571428,-1.141858141858142,-1.1408591408591409,-1.1398601398601398,-1.138861138861139,-1.1378621378621379,-1.1368631368631368,-1.135864135864136,-1.1348651348651349,-1.1338661338661338,-1.132867132867133,-1.1318681318681318,-1.1308691308691308,-1.12987012987013,-1.1288711288711288,-1.127872127872128,-1.126873126873127,-1.1258741258741258,-1.124875124875125,-1.123876123876124,-1.1228771228771228,-1.121878121878122,-1.120879120879121,-1.1198801198801198,-1.118881118881119,-1.1178821178821179,-1.1168831168831168,-1.115884115884116,-1.1148851148851149,-1.1138861138861138,-1.112887112887113,-1.1118881118881119,-1.1108891108891108,-1.10989010989011,-1.1088911088911089,-1.1078921078921078,-1.106893106893107,-1.1058941058941059,-1.1048951048951048,-1.103896103896104,-1.1028971028971029,-1.101898101898102,-1.100899100899101,-1.0999000999000998,-1.098901098901099,-1.097902097902098,-1.0969030969030968,-1.095904095904096,-1.094905094905095,-1.0939060939060938,-1.092907092907093,-1.091908091908092,-1.0909090909090908,-1.08991008991009,-1.088911088911089,-1.0879120879120878,-1.086913086913087,-1.085914085914086,-1.0849150849150848,-1.083916083916084,-1.0829170829170829,-1.0819180819180818,-1.080919080919081,-1.0799200799200799,-1.078921078921079,-1.077922077922078,-1.0769230769230769,-1.075924075924076,-1.074925074925075,-1.0739260739260739,-1.072927072927073,-1.071928071928072,-1.0709290709290709,-1.06993006993007,-1.068931068931069,-1.0679320679320679,-1.066933066933067,-1.065934065934066,-1.0649350649350648,-1.063936063936064,-1.062937062937063,-1.0619380619380618,-1.060939060939061,-1.05994005994006,-1.0589410589410588,-1.057942057942058,-1.056943056943057,-1.055944055944056,-1.054945054945055,-1.053946053946054,-1.052947052947053,-1.051948051948052,-1.050949050949051,-1.04995004995005,-1.048951048951049,-1.0479520479520479,-1.046953046953047,-1.045954045954046,-1.0449550449550449,-1.043956043956044,-1.042957042957043,-1.0419580419580419,-1.040959040959041,-1.03996003996004,-1.0389610389610389,-1.037962037962038,-1.036963036963037,-1.0359640359640359,-1.034965034965035,-1.033966033966034,-1.032967032967033,-1.031968031968032,-1.030969030969031,-1.02997002997003,-1.028971028971029,-1.027972027972028,-1.026973026973027,-1.025974025974026,-1.024975024975025,-1.023976023976024,-1.022977022977023,-1.021978021978022,-1.020979020979021,-1.01998001998002,-1.018981018981019,-1.017982017982018,-1.016983016983017,-1.0159840159840159,-1.014985014985015,-1.013986013986014,-1.0129870129870129,-1.011988011988012,-1.010989010989011,-1.00999000999001,-1.008991008991009,-1.007992007992008,-1.006993006993007,-1.005994005994006,-1.004995004995005,-1.003996003996004,-1.002997002997003,-1.001998001998002,-1.000999000999001,-1.0,-0.999000999000999,-0.998001998001998,-0.997002997002997,-0.996003996003996,-0.995004995004995,-0.994005994005994,-0.993006993006993,-0.9920079920079921,-0.991008991008991,-0.99000999000999,-0.989010989010989,-0.988011988011988,-0.987012987012987,-0.986013986013986,-0.985014985014985,-0.984015984015984,-0.983016983016983,-0.9820179820179821,-0.981018981018981,-0.98001998001998,-0.9790209790209791,-0.978021978021978,-0.977022977022977,-0.9760239760239761,-0.975024975024975,-0.974025974025974,-0.973026973026973,-0.972027972027972,-0.971028971028971,-0.97002997002997,-0.9690309690309691,-0.968031968031968,-0.967032967032967,-0.9660339660339661,-0.965034965034965,-0.964035964035964,-0.9630369630369631,-0.962037962037962,-0.961038961038961,-0.9600399600399601,-0.9590409590409591,-0.958041958041958,-0.957042957042957,-0.9560439560439561,-0.955044955044955,-0.954045954045954,-0.9530469530469531,-0.952047952047952,-0.951048951048951,-0.9500499500499501,-0.949050949050949,-0.948051948051948,-0.9470529470529471,-0.9460539460539461,-0.945054945054945,-0.9440559440559441,-0.9430569430569431,-0.942057942057942,-0.9410589410589411,-0.9400599400599401,-0.939060939060939,-0.938061938061938,-0.9370629370629371,-0.936063936063936,-0.935064935064935,-0.9340659340659341,-0.9330669330669331,-0.932067932067932,-0.9310689310689311,-0.9300699300699301,-0.929070929070929,-0.9280719280719281,-0.9270729270729271,-0.926073926073926,-0.9250749250749251,-0.9240759240759241,-0.9230769230769231,-0.922077922077922,-0.9210789210789211,-0.9200799200799201,-0.919080919080919,-0.9180819180819181,-0.9170829170829171,-0.916083916083916,-0.9150849150849151,-0.9140859140859141,-0.913086913086913,-0.9120879120879121,-0.9110889110889111,-0.9100899100899101,-0.9090909090909091,-0.9080919080919081,-0.9070929070929071,-0.906093906093906,-0.9050949050949051,-0.9040959040959041,-0.903096903096903,-0.9020979020979021,-0.9010989010989011,-0.9000999000999002,-0.8991008991008991,-0.8981018981018981,-0.8971028971028971,-0.8961038961038961,-0.8951048951048951,-0.8941058941058941,-0.8931068931068931,-0.8921078921078921,-0.8911088911088911,-0.8901098901098901,-0.8891108891108891,-0.8881118881118881,-0.8871128871128872,-0.8861138861138861,-0.8851148851148851,-0.8841158841158842,-0.8831168831168831,-0.8821178821178821,-0.8811188811188811,-0.8801198801198801,-0.8791208791208791,-0.8781218781218781,-0.8771228771228772,-0.8761238761238761,-0.8751248751248751,-0.8741258741258742,-0.8731268731268731,-0.8721278721278721,-0.8711288711288712,-0.8701298701298701,-0.8691308691308691,-0.8681318681318682,-0.8671328671328671,-0.8661338661338661,-0.8651348651348651,-0.8641358641358642,-0.8631368631368631,-0.8621378621378621,-0.8611388611388612,-0.8601398601398601,-0.8591408591408591,-0.8581418581418582,-0.8571428571428571,-0.8561438561438561,-0.8551448551448552,-0.8541458541458542,-0.8531468531468531,-0.8521478521478522,-0.8511488511488512,-0.8501498501498501,-0.8491508491508492,-0.8481518481518482,-0.8471528471528471,-0.8461538461538461,-0.8451548451548452,-0.8441558441558441,-0.8431568431568431,-0.8421578421578422,-0.8411588411588412,-0.8401598401598401,-0.8391608391608392,-0.8381618381618382,-0.8371628371628371,-0.8361638361638362,-0.8351648351648352,-0.8341658341658341,-0.8331668331668332,-0.8321678321678322,-0.8311688311688312,-0.8301698301698301,-0.8291708291708292,-0.8281718281718282,-0.8271728271728271,-0.8261738261738262,-0.8251748251748252,-0.8241758241758241,-0.8231768231768232,-0.8221778221778222,-0.8211788211788211,-0.8201798201798202,-0.8191808191808192,-0.8181818181818182,-0.8171828171828172,-0.8161838161838162,-0.8151848151848152,-0.8141858141858141,-0.8131868131868132,-0.8121878121878122,-0.8111888111888111,-0.8101898101898102,-0.8091908091908092,-0.8081918081918081,-0.8071928071928072,-0.8061938061938062,-0.8051948051948052,-0.8041958041958042,-0.8031968031968032,-0.8021978021978022,-0.8011988011988012,-0.8001998001998002,-0.7992007992007992,-0.7982017982017982,-0.7972027972027972,-0.7962037962037962,-0.7952047952047953,-0.7942057942057942,-0.7932067932067932,-0.7922077922077922,-0.7912087912087912,-0.7902097902097902,-0.7892107892107892,-0.7882117882117882,-0.7872127872127872,-0.7862137862137862,-0.7852147852147852,-0.7842157842157842,-0.7832167832167832,-0.7822177822177823,-0.7812187812187812,-0.7802197802197802,-0.7792207792207793,-0.7782217782217782,-0.7772227772227772,-0.7762237762237763,-0.7752247752247752,-0.7742257742257742,-0.7732267732267732,-0.7722277722277723,-0.7712287712287712,-0.7702297702297702,-0.7692307692307693,-0.7682317682317682,-0.7672327672327672,-0.7662337662337663,-0.7652347652347652,-0.7642357642357642,-0.7632367632367633,-0.7622377622377622,-0.7612387612387612,-0.7602397602397603,-0.7592407592407593,-0.7582417582417582,-0.7572427572427572,-0.7562437562437563,-0.7552447552447552,-0.7542457542457542,-0.7532467532467533,-0.7522477522477522,-0.7512487512487512,-0.7502497502497503,-0.7492507492507493,-0.7482517482517482,-0.7472527472527473,-0.7462537462537463,-0.7452547452547452,-0.7442557442557443,-0.7432567432567433,-0.7422577422577422,-0.7412587412587412,-0.7402597402597403,-0.7392607392607392,-0.7382617382617382,-0.7372627372627373,-0.7362637362637363,-0.7352647352647352,-0.7342657342657343,-0.7332667332667333,-0.7322677322677322,-0.7312687312687313,-0.7302697302697303,-0.7292707292707292,-0.7282717282717283,-0.7272727272727273,-0.7262737262737263,-0.7252747252747253,-0.7242757242757243,-0.7232767232767233,-0.7222777222777222,-0.7212787212787213,-0.7202797202797203,-0.7192807192807192,-0.7182817182817183,-0.7172827172827173,-0.7162837162837162,-0.7152847152847153,-0.7142857142857143,-0.7132867132867133,-0.7122877122877123,-0.7112887112887113,-0.7102897102897103,-0.7092907092907093,-0.7082917082917083,-0.7072927072927073,-0.7062937062937062,-0.7052947052947053,-0.7042957042957043,-0.7032967032967034,-0.7022977022977023,-0.7012987012987013,-0.7002997002997003,-0.6993006993006993,-0.6983016983016983,-0.6973026973026973,-0.6963036963036963,-0.6953046953046953,-0.6943056943056943,-0.6933066933066933,-0.6923076923076923,-0.6913086913086913,-0.6903096903096904,-0.6893106893106893,-0.6883116883116883,-0.6873126873126874,-0.6863136863136863,-0.6853146853146853,-0.6843156843156843,-0.6833166833166833,-0.6823176823176823,-0.6813186813186813,-0.6803196803196803,-0.6793206793206793,-0.6783216783216783,-0.6773226773226774,-0.6763236763236763,-0.6753246753246753,-0.6743256743256744,-0.6733266733266733,-0.6723276723276723,-0.6713286713286714,-0.6703296703296703,-0.6693306693306693,-0.6683316683316683,-0.6673326673326674,-0.6663336663336663,-0.6653346653346653,-0.6643356643356644,-0.6633366633366633,-0.6623376623376623,-0.6613386613386614,-0.6603396603396603,-0.6593406593406593,-0.6583416583416584,-0.6573426573426573,-0.6563436563436563,-0.6553446553446554,-0.6543456543456544,-0.6533466533466533,-0.6523476523476524,-0.6513486513486514,-0.6503496503496503,-0.6493506493506493,-0.6483516483516484,-0.6473526473526473,-0.6463536463536463,-0.6453546453546454,-0.6443556443556444,-0.6433566433566433,-0.6423576423576424,-0.6413586413586414,-0.6403596403596403,-0.6393606393606394,-0.6383616383616384,-0.6373626373626373,-0.6363636363636364,-0.6353646353646354,-0.6343656343656343,-0.6333666333666333,-0.6323676323676324,-0.6313686313686314,-0.6303696303696303,-0.6293706293706294,-0.6283716283716284,-0.6273726273726273,-0.6263736263736264,-0.6253746253746254,-0.6243756243756243,-0.6233766233766234,-0.6223776223776224,-0.6213786213786214,-0.6203796203796204,-0.6193806193806194,-0.6183816183816184,-0.6173826173826173,-0.6163836163836164,-0.6153846153846154,-0.6143856143856143,-0.6133866133866134,-0.6123876123876124,-0.6113886113886113,-0.6103896103896104,-0.6093906093906094,-0.6083916083916084,-0.6073926073926074,-0.6063936063936064,-0.6053946053946054,-0.6043956043956044,-0.6033966033966034,-0.6023976023976024,-0.6013986013986014,-0.6003996003996004,-0.5994005994005994,-0.5984015984015985,-0.5974025974025974,-0.5964035964035964,-0.5954045954045954,-0.5944055944055944,-0.5934065934065934,-0.5924075924075924,-0.5914085914085914,-0.5904095904095904,-0.5894105894105894,-0.5884115884115884,-0.5874125874125874,-0.5864135864135864,-0.5854145854145855,-0.5844155844155844,-0.5834165834165834,-0.5824175824175825,-0.5814185814185814,-0.5804195804195804,-0.5794205794205795,-0.5784215784215784,-0.5774225774225774,-0.5764235764235764,-0.5754245754245755,-0.5744255744255744,-0.5734265734265734,-0.5724275724275725,-0.5714285714285714,-0.5704295704295704,-0.5694305694305695,-0.5684315684315684,-0.5674325674325674,-0.5664335664335665,-0.5654345654345654,-0.5644355644355644,-0.5634365634365635,-0.5624375624375625,-0.5614385614385614,-0.5604395604395604,-0.5594405594405595,-0.5584415584415584,-0.5574425574425574,-0.5564435564435565,-0.5554445554445554,-0.5544455544455544,-0.5534465534465535,-0.5524475524475524,-0.5514485514485514,-0.5504495504495505,-0.5494505494505495,-0.5484515484515484,-0.5474525474525475,-0.5464535464535465,-0.5454545454545454,-0.5444555444555444,-0.5434565434565435,-0.5424575424575424,-0.5414585414585414,-0.5404595404595405,-0.5394605394605395,-0.5384615384615384,-0.5374625374625375,-0.5364635364635365,-0.5354645354645354,-0.5344655344655345,-0.5334665334665335,-0.5324675324675324,-0.5314685314685315,-0.5304695304695305,-0.5294705294705294,-0.5284715284715285,-0.5274725274725275,-0.5264735264735265,-0.5254745254745254,-0.5244755244755245,-0.5234765234765235,-0.5224775224775224,-0.5214785214785215,-0.5204795204795205,-0.5194805194805194,-0.5184815184815185,-0.5174825174825175,-0.5164835164835165,-0.5154845154845155,-0.5144855144855145,-0.5134865134865135,-0.5124875124875125,-0.5114885114885115,-0.5104895104895105,-0.5094905094905094,-0.5084915084915085,-0.5074925074925075,-0.5064935064935064,-0.5054945054945055,-0.5044955044955045,-0.5034965034965035,-0.5024975024975025,-0.5014985014985015,-0.5004995004995005,-0.4995004995004995,-0.4985014985014985,-0.4975024975024975,-0.4965034965034965,-0.4955044955044955,-0.4945054945054945,-0.4935064935064935,-0.4925074925074925,-0.4915084915084915,-0.4905094905094905,-0.48951048951048953,-0.4885114885114885,-0.4875124875124875,-0.4865134865134865,-0.4855144855144855,-0.48451548451548454,-0.4835164835164835,-0.4825174825174825,-0.48151848151848153,-0.4805194805194805,-0.47952047952047955,-0.4785214785214785,-0.4775224775224775,-0.47652347652347654,-0.4755244755244755,-0.4745254745254745,-0.47352647352647353,-0.4725274725274725,-0.47152847152847155,-0.47052947052947053,-0.4695304695304695,-0.46853146853146854,-0.4675324675324675,-0.46653346653346656,-0.46553446553446554,-0.4645354645354645,-0.46353646353646355,-0.46253746253746253,-0.46153846153846156,-0.46053946053946054,-0.4595404595404595,-0.45854145854145856,-0.45754245754245754,-0.4565434565434565,-0.45554445554445555,-0.45454545454545453,-0.45354645354645357,-0.45254745254745254,-0.4515484515484515,-0.45054945054945056,-0.44955044955044954,-0.4485514485514486,-0.44755244755244755,-0.44655344655344653,-0.44555444555444557,-0.44455544455544455,-0.4435564435564436,-0.44255744255744256,-0.44155844155844154,-0.4405594405594406,-0.43956043956043955,-0.4385614385614386,-0.43756243756243757,-0.43656343656343655,-0.4355644355644356,-0.43456543456543456,-0.43356643356643354,-0.4325674325674326,-0.43156843156843155,-0.4305694305694306,-0.42957042957042957,-0.42857142857142855,-0.4275724275724276,-0.42657342657342656,-0.4255744255744256,-0.4245754245754246,-0.42357642357642356,-0.4225774225774226,-0.42157842157842157,-0.4205794205794206,-0.4195804195804196,-0.41858141858141856,-0.4175824175824176,-0.4165834165834166,-0.4155844155844156,-0.4145854145854146,-0.41358641358641357,-0.4125874125874126,-0.4115884115884116,-0.41058941058941056,-0.4095904095904096,-0.4085914085914086,-0.4075924075924076,-0.4065934065934066,-0.40559440559440557,-0.4045954045954046,-0.4035964035964036,-0.4025974025974026,-0.4015984015984016,-0.4005994005994006,-0.3996003996003996,-0.3986013986013986,-0.39760239760239763,-0.3966033966033966,-0.3956043956043956,-0.3946053946053946,-0.3936063936063936,-0.3926073926073926,-0.3916083916083916,-0.3906093906093906,-0.38961038961038963,-0.3886113886113886,-0.3876123876123876,-0.3866133866133866,-0.3856143856143856,-0.38461538461538464,-0.3836163836163836,-0.3826173826173826,-0.38161838161838163,-0.3806193806193806,-0.37962037962037964,-0.3786213786213786,-0.3776223776223776,-0.37662337662337664,-0.3756243756243756,-0.37462537462537465,-0.37362637362637363,-0.3726273726273726,-0.37162837162837165,-0.3706293706293706,-0.3696303696303696,-0.36863136863136864,-0.3676323676323676,-0.36663336663336665,-0.36563436563436563,-0.3646353646353646,-0.36363636363636365,-0.3626373626373626,-0.36163836163836166,-0.36063936063936064,-0.3596403596403596,-0.35864135864135865,-0.35764235764235763,-0.35664335664335667,-0.35564435564435565,-0.3546453546453546,-0.35364635364635366,-0.35264735264735264,-0.3516483516483517,-0.35064935064935066,-0.34965034965034963,-0.34865134865134867,-0.34765234765234765,-0.34665334665334663,-0.34565434565434566,-0.34465534465534464,-0.3436563436563437,-0.34265734265734266,-0.34165834165834164,-0.34065934065934067,-0.33966033966033965,-0.3386613386613387,-0.33766233766233766,-0.33666333666333664,-0.3356643356643357,-0.33466533466533466,-0.3336663336663337,-0.33266733266733267,-0.33166833166833165,-0.3306693306693307,-0.32967032967032966,-0.32867132867132864,-0.3276723276723277,-0.32667332667332666,-0.3256743256743257,-0.3246753246753247,-0.32367632367632365,-0.3226773226773227,-0.32167832167832167,-0.3206793206793207,-0.3196803196803197,-0.31868131868131866,-0.3176823176823177,-0.3166833166833167,-0.3156843156843157,-0.3146853146853147,-0.31368631368631367,-0.3126873126873127,-0.3116883116883117,-0.3106893106893107,-0.3096903096903097,-0.3086913086913087,-0.3076923076923077,-0.3066933066933067,-0.30569430569430567,-0.3046953046953047,-0.3036963036963037,-0.3026973026973027,-0.3016983016983017,-0.3006993006993007,-0.2997002997002997,-0.2987012987012987,-0.2977022977022977,-0.2967032967032967,-0.2957042957042957,-0.2947052947052947,-0.2937062937062937,-0.29270729270729273,-0.2917082917082917,-0.2907092907092907,-0.2897102897102897,-0.2887112887112887,-0.28771228771228774,-0.2867132867132867,-0.2857142857142857,-0.28471528471528473,-0.2837162837162837,-0.2827172827172827,-0.2817182817182817,-0.2807192807192807,-0.27972027972027974,-0.2787212787212787,-0.2777222777222777,-0.27672327672327673,-0.2757242757242757,-0.27472527472527475,-0.27372627372627373,-0.2727272727272727,-0.27172827172827174,-0.2707292707292707,-0.26973026973026976,-0.26873126873126874,-0.2677322677322677,-0.26673326673326675,-0.26573426573426573,-0.2647352647352647,-0.26373626373626374,-0.2627372627372627,-0.26173826173826176,-0.26073926073926074,-0.2597402597402597,-0.25874125874125875,-0.25774225774225773,-0.25674325674325676,-0.25574425574425574,-0.2547452547452547,-0.25374625374625376,-0.25274725274725274,-0.2517482517482518,-0.25074925074925075,-0.24975024975024976,-0.24875124875124874,-0.24775224775224775,-0.24675324675324675,-0.24575424575424576,-0.24475524475524477,-0.24375624375624375,-0.24275724275724275,-0.24175824175824176,-0.24075924075924077,-0.23976023976023977,-0.23876123876123875,-0.23776223776223776,-0.23676323676323677,-0.23576423576423577,-0.23476523476523475,-0.23376623376623376,-0.23276723276723277,-0.23176823176823177,-0.23076923076923078,-0.22977022977022976,-0.22877122877122877,-0.22777222777222778,-0.22677322677322678,-0.22577422577422576,-0.22477522477522477,-0.22377622377622378,-0.22277722277722278,-0.2217782217782218,-0.22077922077922077,-0.21978021978021978,-0.21878121878121878,-0.2177822177822178,-0.21678321678321677,-0.21578421578421578,-0.21478521478521478,-0.2137862137862138,-0.2127872127872128,-0.21178821178821178,-0.21078921078921078,-0.2097902097902098,-0.2087912087912088,-0.2077922077922078,-0.20679320679320679,-0.2057942057942058,-0.2047952047952048,-0.2037962037962038,-0.20279720279720279,-0.2017982017982018,-0.2007992007992008,-0.1998001998001998,-0.19880119880119881,-0.1978021978021978,-0.1968031968031968,-0.1958041958041958,-0.19480519480519481,-0.1938061938061938,-0.1928071928071928,-0.1918081918081918,-0.19080919080919082,-0.18981018981018982,-0.1888111888111888,-0.1878121878121878,-0.18681318681318682,-0.18581418581418582,-0.1848151848151848,-0.1838161838161838,-0.18281718281718282,-0.18181818181818182,-0.18081918081918083,-0.1798201798201798,-0.17882117882117882,-0.17782217782217782,-0.17682317682317683,-0.17582417582417584,-0.17482517482517482,-0.17382617382617382,-0.17282717282717283,-0.17182817182817184,-0.17082917082917082,-0.16983016983016982,-0.16883116883116883,-0.16783216783216784,-0.16683316683316685,-0.16583416583416583,-0.16483516483516483,-0.16383616383616384,-0.16283716283716285,-0.16183816183816183,-0.16083916083916083,-0.15984015984015984,-0.15884115884115885,-0.15784215784215785,-0.15684315684315683,-0.15584415584415584,-0.15484515484515485,-0.15384615384615385,-0.15284715284715283,-0.15184815184815184,-0.15084915084915085,-0.14985014985014986,-0.14885114885114886,-0.14785214785214784,-0.14685314685314685,-0.14585414585414586,-0.14485514485514486,-0.14385614385614387,-0.14285714285714285,-0.14185814185814186,-0.14085914085914086,-0.13986013986013987,-0.13886113886113885,-0.13786213786213786,-0.13686313686313686,-0.13586413586413587,-0.13486513486513488,-0.13386613386613386,-0.13286713286713286,-0.13186813186813187,-0.13086913086913088,-0.12987012987012986,-0.12887112887112886,-0.12787212787212787,-0.12687312687312688,-0.1258741258741259,-0.12487512487512488,-0.12387612387612387,-0.12287712287712288,-0.12187812187812187,-0.12087912087912088,-0.11988011988011989,-0.11888111888111888,-0.11788211788211789,-0.11688311688311688,-0.11588411588411589,-0.11488511488511488,-0.11388611388611389,-0.11288711288711288,-0.11188811188811189,-0.1108891108891109,-0.10989010989010989,-0.1088911088911089,-0.10789210789210789,-0.1068931068931069,-0.10589410589410589,-0.1048951048951049,-0.1038961038961039,-0.1028971028971029,-0.1018981018981019,-0.1008991008991009,-0.0999000999000999,-0.0989010989010989,-0.0979020979020979,-0.0969030969030969,-0.0959040959040959,-0.09490509490509491,-0.0939060939060939,-0.09290709290709291,-0.0919080919080919,-0.09090909090909091,-0.0899100899100899,-0.08891108891108891,-0.08791208791208792,-0.08691308691308691,-0.08591408591408592,-0.08491508491508491,-0.08391608391608392,-0.08291708291708291,-0.08191808191808192,-0.08091908091908091,-0.07992007992007992,-0.07892107892107893,-0.07792207792207792,-0.07692307692307693,-0.07592407592407592,-0.07492507492507493,-0.07392607392607392,-0.07292707292707293,-0.07192807192807193,-0.07092907092907093,-0.06993006993006994,-0.06893106893106893,-0.06793206793206794,-0.06693306693306693,-0.06593406593406594,-0.06493506493506493,-0.06393606393606394,-0.06293706293706294,-0.061938061938061936,-0.060939060939060936,-0.059940059940059943,-0.058941058941058944,-0.057942057942057944,-0.056943056943056944,-0.055944055944055944,-0.054945054945054944,-0.053946053946053944,-0.052947052947052944,-0.05194805194805195,-0.05094905094905095,-0.04995004995004995,-0.04895104895104895,-0.04795204795204795,-0.04695304695304695,-0.04595404595404595,-0.04495504495504495,-0.04395604395604396,-0.04295704295704296,-0.04195804195804196,-0.04095904095904096,-0.03996003996003996,-0.03896103896103896,-0.03796203796203796,-0.03696303696303696,-0.03596403596403597,-0.03496503496503497,-0.03396603396603397,-0.03296703296703297,-0.03196803196803197,-0.030969030969030968,-0.029970029970029972,-0.028971028971028972,-0.027972027972027972,-0.026973026973026972,-0.025974025974025976,-0.024975024975024976,-0.023976023976023976,-0.022977022977022976,-0.02197802197802198,-0.02097902097902098,-0.01998001998001998,-0.01898101898101898,-0.017982017982017984,-0.016983016983016984,-0.015984015984015984,-0.014985014985014986,-0.013986013986013986,-0.012987012987012988,-0.011988011988011988,-0.01098901098901099,-0.00999000999000999,-0.008991008991008992,-0.007992007992007992,-0.006993006993006993,-0.005994005994005994,-0.004995004995004995,-0.003996003996003996,-0.002997002997002997,-0.001998001998001998,-0.000999000999000999,0.0]}
diff --git a/lib/node_modules/@stdlib/math/base/special/avercosf/test/fixtures/julia/runner.jl b/lib/node_modules/@stdlib/math/base/special/avercosf/test/fixtures/julia/runner.jl
new file mode 100644
index 000000000000..a1fa781e72d2
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/avercosf/test/fixtures/julia/runner.jl
@@ -0,0 +1,70 @@
+#!/usr/bin/env julia
+#
+# @license Apache-2.0
+#
+# Copyright (c) 2024 The Stdlib Authors.
+#
+# Licensed under the Apache License, Version 2.0 (the "License");
+# you may not use this file except in compliance with the License.
+# You may obtain a copy of the License at
+#
+# http://www.apache.org/licenses/LICENSE-2.0
+#
+# Unless required by applicable law or agreed to in writing, software
+# distributed under the License is distributed on an "AS IS" BASIS,
+# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+# See the License for the specific language governing permissions and
+# limitations under the License.
+
+import JSON
+
+"""
+ gen( domain, name )
+
+Generate fixture data and write to file.
+
+# Arguments
+
+* `domain`: domain
+* `name::AbstractString`: output filename
+
+# Examples
+
+``` julia
+julia> x = range( -1, stop = 1, length = 2001 );
+julia> gen( x, \"data.json\" );
+```
+"""
+function gen( domain, name )
+ x = collect( domain );
+ y = acos.( 1.0 .+ x );
+
+ # Store data to be written to file as a collection:
+ data = Dict([
+ ("x", x),
+ ("expected", y)
+ ]);
+
+ # 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 );
+
+# Generate fixture data for decimal values:
+x = range( -2.0, stop = 0.0, length = 2003 );
+gen( x, "data.json" );
+
+# Generate fixture data for small negative values:
+x = range( -1e-20, stop = -1e-28, length = 2003 );
+gen( x, "small_negative.json" );
diff --git a/lib/node_modules/@stdlib/math/base/special/avercosf/test/fixtures/julia/small_negative.json b/lib/node_modules/@stdlib/math/base/special/avercosf/test/fixtures/julia/small_negative.json
new file mode 100644
index 000000000000..87cf5fbb7d06
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/avercosf/test/fixtures/julia/small_negative.json
@@ -0,0 +1 @@
+{"expected":[0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0,0.0],"x":[-1.0e-20,-9.995004995054944e-21,-9.99000999010989e-21,-9.985014985164834e-21,-9.98001998021978e-21,-9.975024975274724e-21,-9.97002997032967e-21,-9.965034965384615e-21,-9.960039960439559e-21,-9.955044955494505e-21,-9.95004995054945e-21,-9.945054945604395e-21,-9.94005994065934e-21,-9.935064935714286e-21,-9.93006993076923e-21,-9.925074925824176e-21,-9.92007992087912e-21,-9.915084915934065e-21,-9.91008991098901e-21,-9.905094906043955e-21,-9.900099901098901e-21,-9.895104896153845e-21,-9.890109891208791e-21,-9.885114886263736e-21,-9.88011988131868e-21,-9.875124876373626e-21,-9.87012987142857e-21,-9.865134866483516e-21,-9.86013986153846e-21,-9.855144856593407e-21,-9.850149851648351e-21,-9.845154846703297e-21,-9.840159841758241e-21,-9.835164836813186e-21,-9.830169831868132e-21,-9.825174826923076e-21,-9.820179821978022e-21,-9.815184817032966e-21,-9.810189812087912e-21,-9.805194807142857e-21,-9.800199802197801e-21,-9.795204797252747e-21,-9.790209792307691e-21,-9.785214787362637e-21,-9.780219782417582e-21,-9.775224777472528e-21,-9.770229772527472e-21,-9.765234767582416e-21,-9.760239762637362e-21,-9.755244757692307e-21,-9.750249752747253e-21,-9.745254747802197e-21,-9.740259742857143e-21,-9.735264737912087e-21,-9.730269732967033e-21,-9.725274728021978e-21,-9.720279723076922e-21,-9.715284718131868e-21,-9.710289713186812e-21,-9.705294708241758e-21,-9.700299703296703e-21,-9.695304698351648e-21,-9.690309693406593e-21,-9.685314688461537e-21,-9.680319683516483e-21,-9.675324678571428e-21,-9.670329673626373e-21,-9.665334668681318e-21,-9.660339663736264e-21,-9.655344658791208e-21,-9.650349653846154e-21,-9.645354648901098e-21,-9.640359643956043e-21,-9.635364639010989e-21,-9.630369634065933e-21,-9.625374629120879e-21,-9.620379624175823e-21,-9.61538461923077e-21,-9.610389614285714e-21,-9.605394609340658e-21,-9.600399604395604e-21,-9.595404599450548e-21,-9.590409594505494e-21,-9.585414589560439e-21,-9.580419584615385e-21,-9.575424579670329e-21,-9.570429574725273e-21,-9.56543456978022e-21,-9.560439564835164e-21,-9.55544455989011e-21,-9.550449554945054e-21,-9.54545455e-21,-9.540459545054944e-21,-9.53546454010989e-21,-9.530469535164835e-21,-9.525474530219779e-21,-9.520479525274725e-21,-9.51548452032967e-21,-9.510489515384615e-21,-9.50549451043956e-21,-9.500499505494506e-21,-9.49550450054945e-21,-9.490509495604394e-21,-9.48551449065934e-21,-9.480519485714285e-21,-9.47552448076923e-21,-9.470529475824175e-21,-9.465534470879121e-21,-9.460539465934065e-21,-9.455544460989011e-21,-9.450549456043956e-21,-9.4455544510989e-21,-9.440559446153846e-21,-9.43556444120879e-21,-9.430569436263736e-21,-9.42557443131868e-21,-9.420579426373627e-21,-9.415584421428571e-21,-9.410589416483515e-21,-9.405594411538461e-21,-9.400599406593406e-21,-9.395604401648352e-21,-9.390609396703296e-21,-9.385614391758242e-21,-9.380619386813186e-21,-9.37562438186813e-21,-9.370629376923077e-21,-9.365634371978021e-21,-9.360639367032967e-21,-9.355644362087911e-21,-9.350649357142857e-21,-9.345654352197802e-21,-9.340659347252747e-21,-9.335664342307692e-21,-9.330669337362636e-21,-9.325674332417582e-21,-9.320679327472527e-21,-9.315684322527472e-21,-9.310689317582417e-21,-9.305694312637363e-21,-9.300699307692307e-21,-9.295704302747252e-21,-9.290709297802197e-21,-9.285714292857142e-21,-9.280719287912088e-21,-9.275724282967032e-21,-9.270729278021978e-21,-9.265734273076922e-21,-9.260739268131868e-21,-9.255744263186813e-21,-9.250749258241757e-21,-9.245754253296703e-21,-9.240759248351647e-21,-9.235764243406593e-21,-9.230769238461538e-21,-9.225774233516484e-21,-9.220779228571428e-21,-9.215784223626372e-21,-9.210789218681318e-21,-9.205794213736263e-21,-9.200799208791209e-21,-9.195804203846153e-21,-9.190809198901099e-21,-9.185814193956043e-21,-9.180819189010988e-21,-9.175824184065934e-21,-9.170829179120878e-21,-9.165834174175824e-21,-9.160839169230768e-21,-9.155844164285714e-21,-9.150849159340659e-21,-9.145854154395605e-21,-9.140859149450549e-21,-9.135864144505493e-21,-9.13086913956044e-21,-9.125874134615384e-21,-9.12087912967033e-21,-9.115884124725274e-21,-9.11088911978022e-21,-9.105894114835164e-21,-9.100899109890109e-21,-9.095904104945055e-21,-9.090909099999999e-21,-9.085914095054945e-21,-9.08091909010989e-21,-9.075924085164835e-21,-9.07092908021978e-21,-9.065934075274725e-21,-9.06093907032967e-21,-9.055944065384614e-21,-9.05094906043956e-21,-9.045954055494505e-21,-9.04095905054945e-21,-9.035964045604395e-21,-9.030969040659341e-21,-9.025974035714285e-21,-9.02097903076923e-21,-9.015984025824176e-21,-9.01098902087912e-21,-9.005994015934066e-21,-9.00099901098901e-21,-8.996004006043956e-21,-8.9910090010989e-21,-8.986013996153845e-21,-8.981018991208791e-21,-8.976023986263735e-21,-8.971028981318681e-21,-8.966033976373626e-21,-8.961038971428571e-21,-8.956043966483516e-21,-8.951048961538462e-21,-8.946053956593406e-21,-8.94105895164835e-21,-8.936063946703296e-21,-8.931068941758241e-21,-8.926073936813187e-21,-8.921078931868131e-21,-8.916083926923077e-21,-8.911088921978021e-21,-8.906093917032966e-21,-8.901098912087912e-21,-8.896103907142856e-21,-8.891108902197802e-21,-8.886113897252746e-21,-8.881118892307692e-21,-8.876123887362637e-21,-8.871128882417583e-21,-8.866133877472527e-21,-8.861138872527471e-21,-8.856143867582417e-21,-8.851148862637362e-21,-8.846153857692308e-21,-8.841158852747252e-21,-8.836163847802198e-21,-8.831168842857142e-21,-8.826173837912087e-21,-8.821178832967033e-21,-8.816183828021977e-21,-8.811188823076923e-21,-8.806193818131867e-21,-8.801198813186813e-21,-8.796203808241758e-21,-8.791208803296704e-21,-8.786213798351648e-21,-8.781218793406592e-21,-8.776223788461538e-21,-8.771228783516483e-21,-8.766233778571429e-21,-8.761238773626373e-21,-8.756243768681319e-21,-8.751248763736263e-21,-8.746253758791208e-21,-8.741258753846154e-21,-8.736263748901098e-21,-8.731268743956044e-21,-8.726273739010988e-21,-8.721278734065934e-21,-8.716283729120879e-21,-8.711288724175823e-21,-8.706293719230769e-21,-8.701298714285713e-21,-8.696303709340659e-21,-8.691308704395604e-21,-8.68631369945055e-21,-8.681318694505494e-21,-8.67632368956044e-21,-8.671328684615384e-21,-8.666333679670329e-21,-8.661338674725274e-21,-8.656343669780219e-21,-8.651348664835165e-21,-8.646353659890109e-21,-8.641358654945055e-21,-8.63636365e-21,-8.631368645054944e-21,-8.62637364010989e-21,-8.621378635164834e-21,-8.61638363021978e-21,-8.611388625274725e-21,-8.60639362032967e-21,-8.601398615384615e-21,-8.59640361043956e-21,-8.591408605494505e-21,-8.58641360054945e-21,-8.581418595604395e-21,-8.57642359065934e-21,-8.571428585714286e-21,-8.56643358076923e-21,-8.561438575824176e-21,-8.55644357087912e-21,-8.551448565934065e-21,-8.54645356098901e-21,-8.541458556043955e-21,-8.536463551098901e-21,-8.531468546153845e-21,-8.526473541208791e-21,-8.521478536263736e-21,-8.51648353131868e-21,-8.511488526373626e-21,-8.50649352142857e-21,-8.501498516483516e-21,-8.49650351153846e-21,-8.491508506593407e-21,-8.486513501648351e-21,-8.481518496703297e-21,-8.476523491758241e-21,-8.471528486813186e-21,-8.466533481868132e-21,-8.461538476923076e-21,-8.456543471978022e-21,-8.451548467032966e-21,-8.446553462087912e-21,-8.441558457142857e-21,-8.436563452197801e-21,-8.431568447252747e-21,-8.426573442307691e-21,-8.421578437362637e-21,-8.416583432417582e-21,-8.411588427472528e-21,-8.406593422527472e-21,-8.401598417582418e-21,-8.396603412637362e-21,-8.391608407692307e-21,-8.386613402747253e-21,-8.381618397802197e-21,-8.376623392857143e-21,-8.371628387912087e-21,-8.366633382967033e-21,-8.361638378021978e-21,-8.356643373076922e-21,-8.351648368131868e-21,-8.346653363186812e-21,-8.341658358241758e-21,-8.336663353296703e-21,-8.331668348351648e-21,-8.326673343406593e-21,-8.321678338461537e-21,-8.316683333516483e-21,-8.311688328571428e-21,-8.306693323626373e-21,-8.301698318681318e-21,-8.296703313736264e-21,-8.291708308791208e-21,-8.286713303846154e-21,-8.281718298901098e-21,-8.276723293956043e-21,-8.271728289010989e-21,-8.266733284065933e-21,-8.261738279120879e-21,-8.256743274175823e-21,-8.25174826923077e-21,-8.246753264285714e-21,-8.241758259340658e-21,-8.236763254395604e-21,-8.231768249450549e-21,-8.226773244505494e-21,-8.221778239560439e-21,-8.216783234615385e-21,-8.211788229670329e-21,-8.206793224725275e-21,-8.20179821978022e-21,-8.196803214835164e-21,-8.19180820989011e-21,-8.186813204945054e-21,-8.1818182e-21,-8.176823195054944e-21,-8.17182819010989e-21,-8.166833185164835e-21,-8.161838180219779e-21,-8.156843175274725e-21,-8.15184817032967e-21,-8.146853165384615e-21,-8.14185816043956e-21,-8.136863155494506e-21,-8.13186815054945e-21,-8.126873145604394e-21,-8.12187814065934e-21,-8.116883135714285e-21,-8.11188813076923e-21,-8.106893125824175e-21,-8.101898120879121e-21,-8.096903115934065e-21,-8.091908110989011e-21,-8.086913106043956e-21,-8.0819181010989e-21,-8.076923096153846e-21,-8.07192809120879e-21,-8.066933086263736e-21,-8.06193808131868e-21,-8.056943076373627e-21,-8.051948071428571e-21,-8.046953066483515e-21,-8.041958061538461e-21,-8.036963056593406e-21,-8.031968051648352e-21,-8.026973046703296e-21,-8.021978041758242e-21,-8.016983036813186e-21,-8.011988031868132e-21,-8.006993026923077e-21,-8.001998021978021e-21,-7.997003017032967e-21,-7.992008012087911e-21,-7.987013007142857e-21,-7.982018002197802e-21,-7.977022997252747e-21,-7.972027992307692e-21,-7.967032987362636e-21,-7.962037982417582e-21,-7.957042977472527e-21,-7.952047972527472e-21,-7.947052967582417e-21,-7.942057962637363e-21,-7.937062957692307e-21,-7.932067952747252e-21,-7.927072947802197e-21,-7.922077942857142e-21,-7.917082937912088e-21,-7.912087932967032e-21,-7.907092928021978e-21,-7.902097923076922e-21,-7.897102918131868e-21,-7.892107913186813e-21,-7.887112908241757e-21,-7.882117903296703e-21,-7.877122898351647e-21,-7.872127893406593e-21,-7.867132888461538e-21,-7.862137883516484e-21,-7.857142878571428e-21,-7.852147873626373e-21,-7.847152868681318e-21,-7.842157863736263e-21,-7.837162858791209e-21,-7.832167853846153e-21,-7.827172848901099e-21,-7.822177843956043e-21,-7.81718283901099e-21,-7.812187834065934e-21,-7.807192829120878e-21,-7.802197824175824e-21,-7.797202819230768e-21,-7.792207814285714e-21,-7.787212809340659e-21,-7.782217804395605e-21,-7.777222799450549e-21,-7.772227794505493e-21,-7.76723278956044e-21,-7.762237784615384e-21,-7.75724277967033e-21,-7.752247774725274e-21,-7.74725276978022e-21,-7.742257764835164e-21,-7.737262759890109e-21,-7.732267754945055e-21,-7.727272749999999e-21,-7.722277745054945e-21,-7.71728274010989e-21,-7.712287735164835e-21,-7.70729273021978e-21,-7.702297725274726e-21,-7.69730272032967e-21,-7.692307715384614e-21,-7.68731271043956e-21,-7.682317705494505e-21,-7.67732270054945e-21,-7.672327695604395e-21,-7.667332690659341e-21,-7.662337685714285e-21,-7.65734268076923e-21,-7.652347675824176e-21,-7.64735267087912e-21,-7.642357665934066e-21,-7.63736266098901e-21,-7.632367656043956e-21,-7.6273726510989e-21,-7.622377646153846e-21,-7.617382641208791e-21,-7.612387636263735e-21,-7.607392631318681e-21,-7.602397626373626e-21,-7.597402621428571e-21,-7.592407616483516e-21,-7.587412611538462e-21,-7.582417606593406e-21,-7.57742260164835e-21,-7.572427596703296e-21,-7.567432591758241e-21,-7.562437586813187e-21,-7.557442581868131e-21,-7.552447576923077e-21,-7.547452571978021e-21,-7.542457567032966e-21,-7.537462562087912e-21,-7.532467557142856e-21,-7.527472552197802e-21,-7.522477547252746e-21,-7.517482542307692e-21,-7.512487537362637e-21,-7.507492532417583e-21,-7.502497527472527e-21,-7.497502522527471e-21,-7.492507517582417e-21,-7.487512512637362e-21,-7.482517507692308e-21,-7.477522502747252e-21,-7.472527497802198e-21,-7.467532492857142e-21,-7.462537487912087e-21,-7.457542482967033e-21,-7.452547478021977e-21,-7.447552473076923e-21,-7.442557468131867e-21,-7.437562463186813e-21,-7.432567458241758e-21,-7.427572453296704e-21,-7.422577448351648e-21,-7.417582443406592e-21,-7.412587438461538e-21,-7.407592433516483e-21,-7.402597428571429e-21,-7.397602423626373e-21,-7.392607418681319e-21,-7.387612413736263e-21,-7.382617408791208e-21,-7.377622403846154e-21,-7.372627398901098e-21,-7.367632393956044e-21,-7.362637389010988e-21,-7.357642384065934e-21,-7.352647379120879e-21,-7.347652374175823e-21,-7.342657369230769e-21,-7.337662364285713e-21,-7.332667359340659e-21,-7.327672354395604e-21,-7.32267734945055e-21,-7.317682344505494e-21,-7.31268733956044e-21,-7.307692334615384e-21,-7.302697329670329e-21,-7.297702324725275e-21,-7.292707319780219e-21,-7.287712314835165e-21,-7.282717309890109e-21,-7.277722304945055e-21,-7.2727273e-21,-7.267732295054944e-21,-7.26273729010989e-21,-7.257742285164834e-21,-7.25274728021978e-21,-7.247752275274725e-21,-7.24275727032967e-21,-7.237762265384615e-21,-7.232767260439561e-21,-7.227772255494505e-21,-7.22277725054945e-21,-7.217782245604395e-21,-7.21278724065934e-21,-7.207792235714286e-21,-7.20279723076923e-21,-7.197802225824176e-21,-7.19280722087912e-21,-7.187812215934065e-21,-7.182817210989011e-21,-7.177822206043955e-21,-7.172827201098901e-21,-7.167832196153845e-21,-7.162837191208791e-21,-7.157842186263736e-21,-7.15284718131868e-21,-7.147852176373626e-21,-7.14285717142857e-21,-7.137862166483516e-21,-7.132867161538461e-21,-7.127872156593407e-21,-7.122877151648351e-21,-7.117882146703297e-21,-7.112887141758241e-21,-7.107892136813186e-21,-7.102897131868132e-21,-7.097902126923076e-21,-7.092907121978022e-21,-7.087912117032966e-21,-7.082917112087912e-21,-7.077922107142857e-21,-7.072927102197801e-21,-7.067932097252747e-21,-7.062937092307691e-21,-7.057942087362637e-21,-7.052947082417582e-21,-7.047952077472528e-21,-7.042957072527472e-21,-7.037962067582418e-21,-7.032967062637362e-21,-7.027972057692307e-21,-7.022977052747253e-21,-7.017982047802197e-21,-7.012987042857143e-21,-7.007992037912087e-21,-7.002997032967033e-21,-6.998002028021978e-21,-6.993007023076922e-21,-6.988012018131868e-21,-6.983017013186812e-21,-6.978022008241758e-21,-6.973027003296703e-21,-6.968031998351649e-21,-6.963036993406593e-21,-6.958041988461537e-21,-6.953046983516483e-21,-6.948051978571428e-21,-6.943056973626374e-21,-6.938061968681318e-21,-6.933066963736264e-21,-6.928071958791208e-21,-6.923076953846154e-21,-6.918081948901099e-21,-6.913086943956043e-21,-6.908091939010989e-21,-6.903096934065933e-21,-6.898101929120879e-21,-6.893106924175824e-21,-6.88811191923077e-21,-6.883116914285714e-21,-6.878121909340658e-21,-6.873126904395604e-21,-6.868131899450549e-21,-6.863136894505494e-21,-6.858141889560439e-21,-6.853146884615385e-21,-6.848151879670329e-21,-6.843156874725275e-21,-6.83816186978022e-21,-6.833166864835164e-21,-6.82817185989011e-21,-6.823176854945054e-21,-6.81818185e-21,-6.813186845054944e-21,-6.80819184010989e-21,-6.803196835164835e-21,-6.798201830219779e-21,-6.793206825274725e-21,-6.78821182032967e-21,-6.783216815384615e-21,-6.77822181043956e-21,-6.773226805494505e-21,-6.76823180054945e-21,-6.763236795604395e-21,-6.7582417906593404e-21,-6.7532467857142855e-21,-6.748251780769231e-21,-6.743256775824175e-21,-6.73826177087912e-21,-6.7332667659340654e-21,-6.7282717609890105e-21,-6.723276756043956e-21,-6.718281751098901e-21,-6.713286746153846e-21,-6.708291741208791e-21,-6.7032967362637355e-21,-6.698301731318681e-21,-6.693306726373626e-21,-6.688311721428571e-21,-6.683316716483516e-21,-6.678321711538461e-21,-6.6733267065934065e-21,-6.6683317016483516e-21,-6.663336696703296e-21,-6.658341691758241e-21,-6.653346686813186e-21,-6.6483516818681315e-21,-6.6433566769230766e-21,-6.638361671978022e-21,-6.633366667032967e-21,-6.628371662087912e-21,-6.6233766571428565e-21,-6.6183816521978016e-21,-6.613386647252747e-21,-6.608391642307692e-21,-6.603396637362637e-21,-6.598401632417582e-21,-6.593406627472527e-21,-6.5884116225274725e-21,-6.583416617582417e-21,-6.578421612637362e-21,-6.573426607692307e-21,-6.5684316027472524e-21,-6.5634365978021975e-21,-6.558441592857143e-21,-6.553446587912088e-21,-6.548451582967032e-21,-6.5434565780219774e-21,-6.5384615730769225e-21,-6.533466568131868e-21,-6.528471563186813e-21,-6.523476558241758e-21,-6.518481553296703e-21,-6.513486548351648e-21,-6.508491543406593e-21,-6.503496538461538e-21,-6.498501533516483e-21,-6.493506528571428e-21,-6.488511523626373e-21,-6.4835165186813185e-21,-6.4785215137362636e-21,-6.473526508791209e-21,-6.468531503846153e-21,-6.463536498901098e-21,-6.4585414939560435e-21,-6.4535464890109886e-21,-6.448551484065934e-21,-6.443556479120879e-21,-6.438561474175824e-21,-6.433566469230769e-21,-6.4285714642857136e-21,-6.423576459340659e-21,-6.418581454395604e-21,-6.413586449450549e-21,-6.408591444505494e-21,-6.403596439560439e-21,-6.3986014346153845e-21,-6.39360642967033e-21,-6.388611424725274e-21,-6.383616419780219e-21,-6.3786214148351644e-21,-6.3736264098901095e-21,-6.368631404945055e-21,-6.3636364e-21,-6.358641395054945e-21,-6.3536463901098894e-21,-6.3486513851648345e-21,-6.34365638021978e-21,-6.338661375274725e-21,-6.33366637032967e-21,-6.328671365384615e-21,-6.32367636043956e-21,-6.3186813554945054e-21,-6.31368635054945e-21,-6.308691345604395e-21,-6.30369634065934e-21,-6.298701335714285e-21,-6.2937063307692305e-21,-6.2887113258241756e-21,-6.283716320879121e-21,-6.278721315934066e-21,-6.27372631098901e-21,-6.2687313060439555e-21,-6.2637363010989006e-21,-6.258741296153846e-21,-6.253746291208791e-21,-6.248751286263736e-21,-6.243756281318681e-21,-6.238761276373626e-21,-6.233766271428571e-21,-6.228771266483516e-21,-6.223776261538461e-21,-6.218781256593406e-21,-6.213786251648351e-21,-6.2087912467032965e-21,-6.203796241758242e-21,-6.198801236813187e-21,-6.193806231868131e-21,-6.1888112269230764e-21,-6.1838162219780215e-21,-6.178821217032967e-21,-6.173826212087912e-21,-6.168831207142857e-21,-6.163836202197802e-21,-6.158841197252747e-21,-6.153846192307692e-21,-6.148851187362637e-21,-6.143856182417582e-21,-6.138861177472527e-21,-6.133866172527472e-21,-6.1288711675824174e-21,-6.1238761626373626e-21,-6.118881157692307e-21,-6.113886152747252e-21,-6.108891147802197e-21,-6.1038961428571425e-21,-6.0989011379120876e-21,-6.093906132967033e-21,-6.088911128021978e-21,-6.083916123076923e-21,-6.0789211181318675e-21,-6.0739261131868126e-21,-6.068931108241758e-21,-6.063936103296703e-21,-6.058941098351648e-21,-6.053946093406593e-21,-6.048951088461538e-21,-6.0439560835164835e-21,-6.038961078571428e-21,-6.033966073626373e-21,-6.028971068681318e-21,-6.023976063736263e-21,-6.0189810587912085e-21,-6.013986053846154e-21,-6.008991048901099e-21,-6.003996043956044e-21,-5.9990010390109884e-21,-5.9940060340659335e-21,-5.989011029120879e-21,-5.984016024175824e-21,-5.979021019230769e-21,-5.974026014285714e-21,-5.969031009340659e-21,-5.9640360043956044e-21,-5.959040999450549e-21,-5.954045994505494e-21,-5.949050989560439e-21,-5.944055984615384e-21,-5.9390609796703294e-21,-5.9340659747252746e-21,-5.92907096978022e-21,-5.924075964835164e-21,-5.919080959890109e-21,-5.9140859549450544e-21,-5.9090909499999996e-21,-5.904095945054945e-21,-5.89910094010989e-21,-5.894105935164835e-21,-5.88911093021978e-21,-5.8841159252747246e-21,-5.87912092032967e-21,-5.874125915384615e-21,-5.86913091043956e-21,-5.864135905494505e-21,-5.85914090054945e-21,-5.8541458956043955e-21,-5.849150890659341e-21,-5.844155885714285e-21,-5.83916088076923e-21,-5.834165875824175e-21,-5.8291708708791205e-21,-5.824175865934066e-21,-5.819180860989011e-21,-5.814185856043956e-21,-5.809190851098901e-21,-5.8041958461538455e-21,-5.799200841208791e-21,-5.794205836263736e-21,-5.789210831318681e-21,-5.784215826373626e-21,-5.779220821428571e-21,-5.7742258164835164e-21,-5.7692308115384616e-21,-5.764235806593406e-21,-5.759240801648351e-21,-5.754245796703296e-21,-5.7492507917582414e-21,-5.7442557868131866e-21,-5.739260781868132e-21,-5.734265776923077e-21,-5.729270771978021e-21,-5.7242757670329664e-21,-5.7192807620879116e-21,-5.714285757142857e-21,-5.709290752197802e-21,-5.704295747252747e-21,-5.699300742307692e-21,-5.694305737362637e-21,-5.689310732417582e-21,-5.684315727472527e-21,-5.679320722527472e-21,-5.674325717582417e-21,-5.669330712637362e-21,-5.6643357076923075e-21,-5.659340702747253e-21,-5.654345697802198e-21,-5.649350692857142e-21,-5.644355687912087e-21,-5.6393606829670325e-21,-5.634365678021978e-21,-5.629370673076923e-21,-5.624375668131868e-21,-5.619380663186813e-21,-5.614385658241758e-21,-5.609390653296703e-21,-5.604395648351648e-21,-5.599400643406593e-21,-5.594405638461538e-21,-5.589410633516483e-21,-5.5844156285714284e-21,-5.5794206236263736e-21,-5.574425618681319e-21,-5.569430613736263e-21,-5.564435608791208e-21,-5.5594406038461534e-21,-5.5544455989010986e-21,-5.549450593956044e-21,-5.544455589010989e-21,-5.539460584065934e-21,-5.5344655791208784e-21,-5.5294705741758236e-21,-5.524475569230769e-21,-5.519480564285714e-21,-5.514485559340659e-21,-5.509490554395604e-21,-5.504495549450549e-21,-5.4995005445054945e-21,-5.494505539560439e-21,-5.489510534615384e-21,-5.484515529670329e-21,-5.479520524725274e-21,-5.4745255197802195e-21,-5.469530514835165e-21,-5.46453550989011e-21,-5.459540504945055e-21,-5.454545499999999e-21,-5.4495504950549445e-21,-5.44455549010989e-21,-5.439560485164835e-21,-5.43456548021978e-21,-5.429570475274725e-21,-5.42457547032967e-21,-5.4195804653846154e-21,-5.41458546043956e-21,-5.409590455494505e-21,-5.40459545054945e-21,-5.399600445604395e-21,-5.3946054406593404e-21,-5.3896104357142856e-21,-5.384615430769231e-21,-5.379620425824176e-21,-5.37462542087912e-21,-5.3696304159340654e-21,-5.3646354109890106e-21,-5.359640406043956e-21,-5.354645401098901e-21,-5.349650396153846e-21,-5.344655391208791e-21,-5.3396603862637356e-21,-5.334665381318681e-21,-5.329670376373626e-21,-5.324675371428571e-21,-5.319680366483516e-21,-5.314685361538461e-21,-5.3096903565934065e-21,-5.304695351648352e-21,-5.299700346703296e-21,-5.294705341758241e-21,-5.289710336813186e-21,-5.2847153318681315e-21,-5.279720326923077e-21,-5.274725321978022e-21,-5.269730317032967e-21,-5.264735312087912e-21,-5.2597403071428565e-21,-5.254745302197802e-21,-5.249750297252747e-21,-5.244755292307692e-21,-5.239760287362637e-21,-5.234765282417582e-21,-5.2297702774725274e-21,-5.2247752725274726e-21,-5.219780267582417e-21,-5.214785262637362e-21,-5.209790257692307e-21,-5.2047952527472524e-21,-5.1998002478021976e-21,-5.194805242857143e-21,-5.189810237912088e-21,-5.184815232967033e-21,-5.1798202280219774e-21,-5.1748252230769226e-21,-5.169830218131868e-21,-5.164835213186813e-21,-5.159840208241758e-21,-5.154845203296703e-21,-5.149850198351648e-21,-5.1448551934065935e-21,-5.139860188461538e-21,-5.134865183516483e-21,-5.129870178571428e-21,-5.124875173626373e-21,-5.1198801686813185e-21,-5.114885163736264e-21,-5.109890158791209e-21,-5.104895153846153e-21,-5.099900148901098e-21,-5.0949051439560435e-21,-5.089910139010989e-21,-5.084915134065934e-21,-5.079920129120879e-21,-5.074925124175824e-21,-5.069930119230769e-21,-5.064935114285714e-21,-5.059940109340659e-21,-5.054945104395604e-21,-5.049950099450549e-21,-5.044955094505494e-21,-5.0399600895604394e-21,-5.0349650846153846e-21,-5.02997007967033e-21,-5.024975074725274e-21,-5.019980069780219e-21,-5.0149850648351644e-21,-5.0099900598901096e-21,-5.004995054945055e-21,-5.00000005e-21,-4.995005045054945e-21,-4.99001004010989e-21,-4.9850150351648346e-21,-4.98002003021978e-21,-4.975025025274725e-21,-4.97003002032967e-21,-4.965035015384615e-21,-4.96004001043956e-21,-4.9550450054945055e-21,-4.950050000549451e-21,-4.945054995604395e-21,-4.94005999065934e-21,-4.935064985714285e-21,-4.9300699807692305e-21,-4.925074975824176e-21,-4.920079970879121e-21,-4.915084965934066e-21,-4.91008996098901e-21,-4.9050949560439555e-21,-4.900099951098901e-21,-4.895104946153846e-21,-4.890109941208791e-21,-4.885114936263736e-21,-4.880119931318681e-21,-4.8751249263736264e-21,-4.870129921428571e-21,-4.865134916483516e-21,-4.860139911538461e-21,-4.855144906593406e-21,-4.8501499016483514e-21,-4.8451548967032966e-21,-4.840159891758242e-21,-4.835164886813187e-21,-4.830169881868131e-21,-4.8251748769230764e-21,-4.8201798719780216e-21,-4.815184867032967e-21,-4.810189862087912e-21,-4.805194857142857e-21,-4.800199852197802e-21,-4.795204847252747e-21,-4.790209842307692e-21,-4.785214837362637e-21,-4.780219832417582e-21,-4.775224827472527e-21,-4.770229822527472e-21,-4.7652348175824175e-21,-4.760239812637363e-21,-4.755244807692308e-21,-4.750249802747252e-21,-4.745254797802197e-21,-4.7402597928571425e-21,-4.735264787912088e-21,-4.730269782967033e-21,-4.725274778021978e-21,-4.720279773076923e-21,-4.7152847681318675e-21,-4.710289763186813e-21,-4.705294758241758e-21,-4.700299753296703e-21,-4.695304748351648e-21,-4.690309743406593e-21,-4.6853147384615384e-21,-4.6803197335164836e-21,-4.675324728571428e-21,-4.670329723626373e-21,-4.665334718681318e-21,-4.6603397137362634e-21,-4.6553447087912086e-21,-4.650349703846154e-21,-4.645354698901099e-21,-4.640359693956044e-21,-4.6353646890109884e-21,-4.6303696840659336e-21,-4.625374679120879e-21,-4.620379674175824e-21,-4.615384669230769e-21,-4.610389664285714e-21,-4.605394659340659e-21,-4.6003996543956045e-21,-4.595404649450549e-21,-4.590409644505494e-21,-4.585414639560439e-21,-4.580419634615384e-21,-4.5754246296703295e-21,-4.570429624725275e-21,-4.56543461978022e-21,-4.560439614835165e-21,-4.555444609890109e-21,-4.5504496049450545e-21,-4.5454546e-21,-4.540459595054945e-21,-4.53546459010989e-21,-4.530469585164835e-21,-4.52547458021978e-21,-4.520479575274725e-21,-4.51548457032967e-21,-4.510489565384615e-21,-4.50549456043956e-21,-4.500499555494505e-21,-4.4955045505494504e-21,-4.4905095456043956e-21,-4.485514540659341e-21,-4.480519535714285e-21,-4.47552453076923e-21,-4.4705295258241754e-21,-4.4655345208791206e-21,-4.460539515934066e-21,-4.455544510989011e-21,-4.450549506043956e-21,-4.445554501098901e-21,-4.4405594961538456e-21,-4.435564491208791e-21,-4.430569486263736e-21,-4.425574481318681e-21,-4.420579476373626e-21,-4.415584471428571e-21,-4.4105894664835165e-21,-4.405594461538462e-21,-4.400599456593406e-21,-4.395604451648351e-21,-4.390609446703296e-21,-4.3856144417582415e-21,-4.380619436813187e-21,-4.375624431868132e-21,-4.370629426923077e-21,-4.365634421978022e-21,-4.3606394170329665e-21,-4.355644412087912e-21,-4.350649407142857e-21,-4.345654402197802e-21,-4.340659397252747e-21,-4.335664392307692e-21,-4.3306693873626374e-21,-4.325674382417582e-21,-4.320679377472527e-21,-4.315684372527472e-21,-4.310689367582417e-21,-4.3056943626373624e-21,-4.3006993576923076e-21,-4.295704352747253e-21,-4.290709347802198e-21,-4.285714342857142e-21,-4.2807193379120874e-21,-4.2757243329670326e-21,-4.270729328021978e-21,-4.265734323076923e-21,-4.260739318131868e-21,-4.255744313186813e-21,-4.250749308241758e-21,-4.245754303296703e-21,-4.240759298351648e-21,-4.235764293406593e-21,-4.230769288461538e-21,-4.225774283516483e-21,-4.2207792785714285e-21,-4.215784273626374e-21,-4.210789268681319e-21,-4.205794263736263e-21,-4.200799258791208e-21,-4.1958042538461535e-21,-4.190809248901099e-21,-4.185814243956044e-21,-4.180819239010989e-21,-4.175824234065934e-21,-4.170829229120879e-21,-4.165834224175824e-21,-4.160839219230769e-21,-4.155844214285714e-21,-4.150849209340659e-21,-4.145854204395604e-21,-4.1408591994505494e-21,-4.1358641945054946e-21,-4.13086918956044e-21,-4.125874184615384e-21,-4.120879179670329e-21,-4.1158841747252744e-21,-4.1108891697802196e-21,-4.105894164835165e-21,-4.10089915989011e-21,-4.095904154945055e-21,-4.0909091499999994e-21,-4.0859141450549446e-21,-4.08091914010989e-21,-4.075924135164835e-21,-4.07092913021978e-21,-4.065934125274725e-21,-4.06093912032967e-21,-4.0559441153846155e-21,-4.05094911043956e-21,-4.045954105494505e-21,-4.04095910054945e-21,-4.035964095604395e-21,-4.0309690906593405e-21,-4.025974085714286e-21,-4.020979080769231e-21,-4.015984075824176e-21,-4.01098907087912e-21,-4.0059940659340655e-21,-4.000999060989011e-21,-3.996004056043956e-21,-3.991009051098901e-21,-3.986014046153846e-21,-3.981019041208791e-21,-3.9760240362637364e-21,-3.971029031318681e-21,-3.966034026373626e-21,-3.961039021428571e-21,-3.956044016483516e-21,-3.9510490115384614e-21,-3.9460540065934066e-21,-3.941059001648352e-21,-3.936063996703297e-21,-3.931068991758241e-21,-3.9260739868131864e-21,-3.9210789818681316e-21,-3.916083976923077e-21,-3.911088971978022e-21,-3.906093967032967e-21,-3.901098962087912e-21,-3.8961039571428566e-21,-3.891108952197802e-21,-3.886113947252747e-21,-3.881118942307692e-21,-3.876123937362637e-21,-3.871128932417582e-21,-3.8661339274725275e-21,-3.861138922527473e-21,-3.856143917582417e-21,-3.851148912637362e-21,-3.846153907692307e-21,-3.8411589027472525e-21,-3.836163897802198e-21,-3.831168892857143e-21,-3.826173887912088e-21,-3.821178882967033e-21,-3.8161838780219775e-21,-3.811188873076923e-21,-3.806193868131868e-21,-3.801198863186813e-21,-3.796203858241758e-21,-3.791208853296703e-21,-3.7862138483516484e-21,-3.7812188434065935e-21,-3.776223838461538e-21,-3.771228833516483e-21,-3.766233828571428e-21,-3.7612388236263734e-21,-3.7562438186813186e-21,-3.751248813736264e-21,-3.746253808791209e-21,-3.741258803846154e-21,-3.7362637989010984e-21,-3.7312687939560436e-21,-3.726273789010989e-21,-3.721278784065934e-21,-3.716283779120879e-21,-3.711288774175824e-21,-3.706293769230769e-21,-3.701298764285714e-21,-3.696303759340659e-21,-3.691308754395604e-21,-3.686313749450549e-21,-3.681318744505494e-21,-3.6763237395604395e-21,-3.671328734615385e-21,-3.66633372967033e-21,-3.661338724725274e-21,-3.656343719780219e-21,-3.6513487148351645e-21,-3.64635370989011e-21,-3.641358704945055e-21,-3.6363637e-21,-3.631368695054945e-21,-3.62637369010989e-21,-3.621378685164835e-21,-3.61638368021978e-21,-3.611388675274725e-21,-3.60639367032967e-21,-3.601398665384615e-21,-3.5964036604395604e-21,-3.5914086554945055e-21,-3.586413650549451e-21,-3.581418645604395e-21,-3.57642364065934e-21,-3.5714286357142854e-21,-3.5664336307692306e-21,-3.561438625824176e-21,-3.556443620879121e-21,-3.551448615934066e-21,-3.546453610989011e-21,-3.5414586060439556e-21,-3.536463601098901e-21,-3.531468596153846e-21,-3.526473591208791e-21,-3.521478586263736e-21,-3.516483581318681e-21,-3.5114885763736265e-21,-3.506493571428571e-21,-3.501498566483516e-21,-3.496503561538461e-21,-3.491508556593406e-21,-3.4865135516483515e-21,-3.4815185467032966e-21,-3.476523541758242e-21,-3.471528536813187e-21,-3.466533531868131e-21,-3.4615385269230765e-21,-3.456543521978022e-21,-3.451548517032967e-21,-3.446553512087912e-21,-3.441558507142857e-21,-3.436563502197802e-21,-3.4315684972527474e-21,-3.426573492307692e-21,-3.421578487362637e-21,-3.416583482417582e-21,-3.411588477472527e-21,-3.4065934725274724e-21,-3.4015984675824175e-21,-3.396603462637363e-21,-3.391608457692308e-21,-3.3866134527472526e-21,-3.3816184478021978e-21,-3.3766234428571425e-21,-3.3716284379120877e-21,-3.366633432967033e-21,-3.361638428021978e-21,-3.3566434230769228e-21,-3.351648418131868e-21,-3.346653413186813e-21,-3.3416584082417582e-21,-3.336663403296703e-21,-3.331668398351648e-21,-3.3266733934065933e-21,-3.3216783884615385e-21,-3.3166833835164832e-21,-3.3116883785714284e-21,-3.3066933736263735e-21,-3.3016983686813183e-21,-3.2967033637362635e-21,-3.2917083587912086e-21,-3.2867133538461538e-21,-3.2817183489010985e-21,-3.2767233439560437e-21,-3.271728339010989e-21,-3.266733334065934e-21,-3.2617383291208788e-21,-3.256743324175824e-21,-3.251748319230769e-21,-3.2467533142857142e-21,-3.241758309340659e-21,-3.236763304395604e-21,-3.2317682994505493e-21,-3.2267732945054945e-21,-3.2217782895604392e-21,-3.2167832846153844e-21,-3.2117882796703295e-21,-3.2067932747252747e-21,-3.2017982697802195e-21,-3.1968032648351646e-21,-3.1918082598901098e-21,-3.186813254945055e-21,-3.1818182499999997e-21,-3.176823245054945e-21,-3.17182824010989e-21,-3.166833235164835e-21,-3.16183823021978e-21,-3.156843225274725e-21,-3.1518482203296702e-21,-3.1468532153846154e-21,-3.14185821043956e-21,-3.1368632054945053e-21,-3.1318682005494505e-21,-3.1268731956043956e-21,-3.1218781906593404e-21,-3.1168831857142855e-21,-3.1118881807692307e-21,-3.1068931758241755e-21,-3.1018981708791206e-21,-3.0969031659340658e-21,-3.091908160989011e-21,-3.0869131560439557e-21,-3.081918151098901e-21,-3.076923146153846e-21,-3.071928141208791e-21,-3.066933136263736e-21,-3.061938131318681e-21,-3.0569431263736262e-21,-3.0519481214285714e-21,-3.046953116483516e-21,-3.0419581115384613e-21,-3.0369631065934065e-21,-3.0319681016483516e-21,-3.0269730967032964e-21,-3.0219780917582415e-21,-3.0169830868131867e-21,-3.011988081868132e-21,-3.0069930769230766e-21,-3.0019980719780218e-21,-2.997003067032967e-21,-2.992008062087912e-21,-2.987013057142857e-21,-2.982018052197802e-21,-2.977023047252747e-21,-2.9720280423076923e-21,-2.967033037362637e-21,-2.9620380324175822e-21,-2.9570430274725274e-21,-2.9520480225274725e-21,-2.9470530175824173e-21,-2.9420580126373625e-21,-2.9370630076923076e-21,-2.9320680027472528e-21,-2.9270729978021975e-21,-2.9220779928571427e-21,-2.917082987912088e-21,-2.912087982967033e-21,-2.9070929780219778e-21,-2.902097973076923e-21,-2.897102968131868e-21,-2.892107963186813e-21,-2.887112958241758e-21,-2.882117953296703e-21,-2.8771229483516483e-21,-2.872127943406593e-21,-2.8671329384615382e-21,-2.8621379335164834e-21,-2.8571429285714285e-21,-2.8521479236263733e-21,-2.8471529186813185e-21,-2.8421579137362636e-21,-2.8371629087912088e-21,-2.8321679038461535e-21,-2.8271728989010987e-21,-2.822177893956044e-21,-2.817182889010989e-21,-2.8121878840659338e-21,-2.807192879120879e-21,-2.802197874175824e-21,-2.7972028692307692e-21,-2.792207864285714e-21,-2.787212859340659e-21,-2.7822178543956043e-21,-2.7772228494505495e-21,-2.7722278445054942e-21,-2.7672328395604394e-21,-2.7622378346153845e-21,-2.7572428296703297e-21,-2.7522478247252745e-21,-2.7472528197802196e-21,-2.7422578148351648e-21,-2.73726280989011e-21,-2.7322678049450547e-21,-2.7272728e-21,-2.722277795054945e-21,-2.71728279010989e-21,-2.712287785164835e-21,-2.70729278021978e-21,-2.7022977752747252e-21,-2.69730277032967e-21,-2.692307765384615e-21,-2.6873127604395603e-21,-2.6823177554945055e-21,-2.6773227505494502e-21,-2.6723277456043954e-21,-2.6673327406593405e-21,-2.6623377357142857e-21,-2.6573427307692305e-21,-2.6523477258241756e-21,-2.6473527208791208e-21,-2.642357715934066e-21,-2.6373627109890107e-21,-2.632367706043956e-21,-2.627372701098901e-21,-2.622377696153846e-21,-2.617382691208791e-21,-2.612387686263736e-21,-2.6073926813186812e-21,-2.6023976763736264e-21,-2.597402671428571e-21,-2.5924076664835163e-21,-2.5874126615384615e-21,-2.5824176565934066e-21,-2.5774226516483514e-21,-2.5724276467032965e-21,-2.5674326417582417e-21,-2.562437636813187e-21,-2.5574426318681316e-21,-2.5524476269230768e-21,-2.547452621978022e-21,-2.542457617032967e-21,-2.537462612087912e-21,-2.532467607142857e-21,-2.527472602197802e-21,-2.5224775972527473e-21,-2.517482592307692e-21,-2.5124875873626372e-21,-2.5074925824175824e-21,-2.502497577472527e-21,-2.4975025725274723e-21,-2.4925075675824175e-21,-2.4875125626373626e-21,-2.4825175576923074e-21,-2.4775225527472525e-21,-2.4725275478021977e-21,-2.467532542857143e-21,-2.4625375379120876e-21,-2.4575425329670328e-21,-2.452547528021978e-21,-2.447552523076923e-21,-2.442557518131868e-21,-2.437562513186813e-21,-2.432567508241758e-21,-2.4275725032967033e-21,-2.422577498351648e-21,-2.4175824934065932e-21,-2.4125874884615384e-21,-2.4075924835164835e-21,-2.4025974785714283e-21,-2.3976024736263735e-21,-2.3926074686813186e-21,-2.3876124637362638e-21,-2.3826174587912085e-21,-2.3776224538461537e-21,-2.372627448901099e-21,-2.367632443956044e-21,-2.3626374390109888e-21,-2.357642434065934e-21,-2.352647429120879e-21,-2.3476524241758242e-21,-2.342657419230769e-21,-2.337662414285714e-21,-2.3326674093406593e-21,-2.3276724043956044e-21,-2.3226773994505492e-21,-2.3176823945054944e-21,-2.3126873895604395e-21,-2.3076923846153847e-21,-2.3026973796703295e-21,-2.2977023747252746e-21,-2.2927073697802198e-21,-2.2877123648351645e-21,-2.2827173598901097e-21,-2.277722354945055e-21,-2.27272735e-21,-2.2677323450549448e-21,-2.26273734010989e-21,-2.257742335164835e-21,-2.2527473302197802e-21,-2.247752325274725e-21,-2.24275732032967e-21,-2.2377623153846153e-21,-2.2327673104395604e-21,-2.2277723054945052e-21,-2.2227773005494504e-21,-2.2177822956043955e-21,-2.2127872906593407e-21,-2.2077922857142854e-21,-2.2027972807692306e-21,-2.1978022758241758e-21,-2.192807270879121e-21,-2.1878122659340657e-21,-2.182817260989011e-21,-2.177822256043956e-21,-2.172827251098901e-21,-2.167832246153846e-21,-2.162837241208791e-21,-2.1578422362637362e-21,-2.1528472313186814e-21,-2.147852226373626e-21,-2.1428572214285713e-21,-2.1378622164835164e-21,-2.1328672115384616e-21,-2.1278722065934064e-21,-2.1228772016483515e-21,-2.1178821967032967e-21,-2.112887191758242e-21,-2.1078921868131866e-21,-2.1028971818681318e-21,-2.097902176923077e-21,-2.0929071719780217e-21,-2.087912167032967e-21,-2.082917162087912e-21,-2.077922157142857e-21,-2.072927152197802e-21,-2.067932147252747e-21,-2.0629371423076922e-21,-2.0579421373626374e-21,-2.052947132417582e-21,-2.0479521274725273e-21,-2.0429571225274724e-21,-2.0379621175824176e-21,-2.0329671126373624e-21,-2.0279721076923075e-21,-2.0229771027472527e-21,-2.017982097802198e-21,-2.0129870928571426e-21,-2.0079920879120878e-21,-2.002997082967033e-21,-1.998002078021978e-21,-1.993007073076923e-21,-1.988012068131868e-21,-1.983017063186813e-21,-1.9780220582417583e-21,-1.973027053296703e-21,-1.9680320483516482e-21,-1.9630370434065934e-21,-1.9580420384615385e-21,-1.9530470335164833e-21,-1.9480520285714284e-21,-1.9430570236263736e-21,-1.9380620186813187e-21,-1.9330670137362635e-21,-1.9280720087912087e-21,-1.923077003846154e-21,-1.918081998901099e-21,-1.9130869939560438e-21,-1.908091989010989e-21,-1.903096984065934e-21,-1.898101979120879e-21,-1.893106974175824e-21,-1.888111969230769e-21,-1.8831169642857143e-21,-1.878121959340659e-21,-1.8731269543956042e-21,-1.8681319494505494e-21,-1.8631369445054945e-21,-1.8581419395604393e-21,-1.8531469346153844e-21,-1.8481519296703296e-21,-1.8431569247252747e-21,-1.8381619197802195e-21,-1.8331669148351647e-21,-1.82817190989011e-21,-1.823176904945055e-21,-1.8181818999999997e-21,-1.813186895054945e-21,-1.80819189010989e-21,-1.8031968851648352e-21,-1.79820188021978e-21,-1.793206875274725e-21,-1.7882118703296703e-21,-1.7832168653846154e-21,-1.7782218604395602e-21,-1.7732268554945054e-21,-1.7682318505494505e-21,-1.7632368456043957e-21,-1.7582418406593404e-21,-1.7532468357142856e-21,-1.7482518307692307e-21,-1.743256825824176e-21,-1.7382618208791207e-21,-1.733266815934066e-21,-1.728271810989011e-21,-1.723276806043956e-21,-1.718281801098901e-21,-1.713286796153846e-21,-1.7082917912087912e-21,-1.7032967862637364e-21,-1.698301781318681e-21,-1.6933067763736263e-21,-1.6883117714285712e-21,-1.6833167664835164e-21,-1.6783217615384614e-21,-1.6733267565934065e-21,-1.6683317516483515e-21,-1.6633367467032966e-21,-1.6583417417582416e-21,-1.6533467368131867e-21,-1.6483517318681317e-21,-1.6433567269230769e-21,-1.6383617219780218e-21,-1.633366717032967e-21,-1.628371712087912e-21,-1.623376707142857e-21,-1.618381702197802e-21,-1.6133866972527472e-21,-1.6083916923076922e-21,-1.6033966873626373e-21,-1.5984016824175823e-21,-1.5934066774725274e-21,-1.5884116725274724e-21,-1.5834166675824175e-21,-1.5784216626373625e-21,-1.5734266576923077e-21,-1.5684316527472526e-21,-1.5634366478021978e-21,-1.5584416428571427e-21,-1.5534466379120879e-21,-1.5484516329670329e-21,-1.543456628021978e-21,-1.538461623076923e-21,-1.5334666181318681e-21,-1.528471613186813e-21,-1.5234766082417582e-21,-1.5184816032967032e-21,-1.5134865983516484e-21,-1.5084915934065933e-21,-1.5034965884615385e-21,-1.4985015835164834e-21,-1.4935065785714286e-21,-1.4885115736263735e-21,-1.4835165686813185e-21,-1.4785215637362637e-21,-1.4735265587912086e-21,-1.4685315538461538e-21,-1.4635365489010987e-21,-1.4585415439560439e-21,-1.4535465390109889e-21,-1.448551534065934e-21,-1.443556529120879e-21,-1.4385615241758241e-21,-1.433566519230769e-21,-1.4285715142857142e-21,-1.4235765093406592e-21,-1.4185815043956044e-21,-1.4135864994505493e-21,-1.4085914945054945e-21,-1.4035964895604394e-21,-1.3986014846153846e-21,-1.3936064796703295e-21,-1.3886114747252747e-21,-1.3836164697802197e-21,-1.3786214648351648e-21,-1.3736264598901098e-21,-1.368631454945055e-21,-1.3636364499999999e-21,-1.358641445054945e-21,-1.35364644010989e-21,-1.3486514351648352e-21,-1.3436564302197801e-21,-1.3386614252747253e-21,-1.3336664203296702e-21,-1.3286714153846154e-21,-1.3236764104395604e-21,-1.3186814054945055e-21,-1.3136864005494505e-21,-1.3086913956043956e-21,-1.3036963906593406e-21,-1.2987013857142857e-21,-1.2937063807692307e-21,-1.2887113758241757e-21,-1.2837163708791208e-21,-1.2787213659340658e-21,-1.273726360989011e-21,-1.2687313560439559e-21,-1.263736351098901e-21,-1.258741346153846e-21,-1.2537463412087912e-21,-1.2487513362637361e-21,-1.2437563313186813e-21,-1.2387613263736262e-21,-1.2337663214285714e-21,-1.2287713164835164e-21,-1.2237763115384615e-21,-1.2187813065934065e-21,-1.2137863016483516e-21,-1.2087912967032966e-21,-1.2037962917582417e-21,-1.1988012868131867e-21,-1.1938062818681318e-21,-1.1888112769230768e-21,-1.183816271978022e-21,-1.178821267032967e-21,-1.173826262087912e-21,-1.168831257142857e-21,-1.1638362521978022e-21,-1.1588412472527472e-21,-1.1538462423076923e-21,-1.1488512373626373e-21,-1.1438562324175824e-21,-1.1388612274725274e-21,-1.1338662225274725e-21,-1.1288712175824175e-21,-1.1238762126373627e-21,-1.1188812076923076e-21,-1.1138862027472528e-21,-1.1088911978021977e-21,-1.1038961928571429e-21,-1.0989011879120878e-21,-1.093906182967033e-21,-1.088911178021978e-21,-1.083916173076923e-21,-1.078921168131868e-21,-1.073926163186813e-21,-1.0689311582417582e-21,-1.0639361532967032e-21,-1.0589411483516483e-21,-1.0539461434065933e-21,-1.0489511384615384e-21,-1.0439561335164834e-21,-1.0389611285714285e-21,-1.0339661236263735e-21,-1.0289711186813187e-21,-1.0239761137362636e-21,-1.0189811087912088e-21,-1.0139861038461537e-21,-1.0089910989010989e-21,-1.0039960939560438e-21,-9.99001089010989e-22,-9.94006084065934e-22,-9.890110791208791e-22,-9.84016074175824e-22,-9.790210692307692e-22,-9.740260642857142e-22,-9.690310593406593e-22,-9.640360543956043e-22,-9.590410494505495e-22,-9.540460445054944e-22,-9.490510395604396e-22,-9.440560346153845e-22,-9.390610296703297e-22,-9.340660247252747e-22,-9.290710197802198e-22,-9.240760148351648e-22,-9.1908100989011e-22,-9.140860049450549e-22,-9.09091e-22,-9.04095995054945e-22,-8.991009901098901e-22,-8.941059851648351e-22,-8.891109802197803e-22,-8.841159752747252e-22,-8.791209703296702e-22,-8.741259653846153e-22,-8.691309604395603e-22,-8.641359554945055e-22,-8.591409505494504e-22,-8.541459456043956e-22,-8.491509406593405e-22,-8.441559357142857e-22,-8.391609307692307e-22,-8.341659258241758e-22,-8.291709208791209e-22,-8.241759159340659e-22,-8.19180910989011e-22,-8.14185906043956e-22,-8.091909010989011e-22,-8.0419589615384615e-22,-7.992008912087912e-22,-7.942058862637363e-22,-7.892108813186813e-22,-7.842158763736263e-22,-7.792208714285713e-22,-7.742258664835164e-22,-7.692308615384615e-22,-7.642358565934065e-22,-7.592408516483516e-22,-7.542458467032966e-22,-7.492508417582417e-22,-7.442558368131867e-22,-7.392608318681318e-22,-7.342658269230769e-22,-7.292708219780219e-22,-7.24275817032967e-22,-7.19280812087912e-22,-7.142858071428571e-22,-7.092908021978021e-22,-7.042957972527472e-22,-6.993007923076923e-22,-6.943057873626373e-22,-6.893107824175824e-22,-6.843157774725274e-22,-6.793207725274725e-22,-6.7432576758241755e-22,-6.693307626373626e-22,-6.643357576923077e-22,-6.593407527472527e-22,-6.543457478021978e-22,-6.493507428571428e-22,-6.443557379120879e-22,-6.3936073296703295e-22,-6.34365728021978e-22,-6.293707230769231e-22,-6.243757181318681e-22,-6.193807131868132e-22,-6.143857082417582e-22,-6.093907032967033e-22,-6.043956983516484e-22,-5.994006934065934e-22,-5.944056884615385e-22,-5.894106835164835e-22,-5.844156785714286e-22,-5.7942067362637355e-22,-5.744256686813186e-22,-5.694306637362637e-22,-5.644356587912087e-22,-5.594406538461538e-22,-5.544456489010988e-22,-5.494506439560439e-22,-5.4445563901098895e-22,-5.39460634065934e-22,-5.344656291208791e-22,-5.294706241758241e-22,-5.244756192307692e-22,-5.194806142857142e-22,-5.144856093406593e-22,-5.094906043956044e-22,-5.044955994505494e-22,-4.995005945054945e-22,-4.945055895604395e-22,-4.895105846153846e-22,-4.845155796703296e-22,-4.795205747252747e-22,-4.745255697802198e-22,-4.695305648351648e-22,-4.645355598901099e-22,-4.595405549450549e-22,-4.5454555e-22,-4.49550545054945e-22,-4.445555401098901e-22,-4.395605351648352e-22,-4.345655302197802e-22,-4.295705252747253e-22,-4.245755203296703e-22,-4.1958051538461534e-22,-4.145855104395604e-22,-4.0959050549450546e-22,-4.045955005494505e-22,-3.9960049560439557e-22,-3.9460549065934063e-22,-3.896104857142857e-22,-3.8461548076923075e-22,-3.796204758241758e-22,-3.7462547087912086e-22,-3.696304659340659e-22,-3.6463546098901098e-22,-3.5964045604395603e-22,-3.546454510989011e-22,-3.4965044615384615e-22,-3.446554412087912e-22,-3.3966043626373626e-22,-3.346654313186813e-22,-3.296704263736264e-22,-3.246754214285714e-22,-3.1968041648351645e-22,-3.146854115384615e-22,-3.0969040659340656e-22,-3.046954016483516e-22,-2.997003967032967e-22,-2.9470539175824173e-22,-2.897103868131868e-22,-2.8471538186813185e-22,-2.797203769230769e-22,-2.7472537197802196e-22,-2.69730367032967e-22,-2.647353620879121e-22,-2.5974035714285714e-22,-2.547453521978022e-22,-2.4975034725274725e-22,-2.447553423076923e-22,-2.3976033736263737e-22,-2.3476533241758242e-22,-2.297703274725275e-22,-2.247753225274725e-22,-2.1978031758241755e-22,-2.147853126373626e-22,-2.097903076923077e-22,-2.0479530274725275e-22,-1.9980029780219778e-22,-1.9480529285714284e-22,-1.898102879120879e-22,-1.8481528296703295e-22,-1.79820278021978e-22,-1.7482527307692307e-22,-1.6983026813186813e-22,-1.6483526318681318e-22,-1.5984025824175824e-22,-1.548452532967033e-22,-1.4985024835164833e-22,-1.448552434065934e-22,-1.3986023846153845e-22,-1.348652335164835e-22,-1.2987022857142856e-22,-1.2487522362637362e-22,-1.1988021868131868e-22,-1.1488521373626374e-22,-1.098902087912088e-22,-1.0489520384615384e-22,-9.99001989010989e-23,-9.490519395604395e-23,-8.991018901098901e-23,-8.491518406593406e-23,-7.992017912087911e-23,-7.492517417582417e-23,-6.993016923076923e-23,-6.493516428571429e-23,-5.994015934065933e-23,-5.494515439560439e-23,-4.995014945054945e-23,-4.4955144505494505e-23,-3.9960139560439557e-23,-3.4965134615384615e-23,-2.9970129670329666e-23,-2.4975124725274724e-23,-1.9980119780219778e-23,-1.4985114835164833e-23,-9.990109890109889e-24,-4.995104945054945e-24,-1.0e-28]}
diff --git a/lib/node_modules/@stdlib/math/base/special/avercosf/test/test.js b/lib/node_modules/@stdlib/math/base/special/avercosf/test/test.js
new file mode 100644
index 000000000000..8136e9cf865b
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/avercosf/test/test.js
@@ -0,0 +1,122 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2024 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+* http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+'use strict';
+
+// MODULES //
+
+var tape = require( 'tape' );
+var isnanf = require( '@stdlib/math/base/assert/is-nanf' );
+var randu = require( '@stdlib/random/base/randu' );
+var absf = require( '@stdlib/math/base/special/absf' );
+var EPS = require( '@stdlib/constants/float32/eps' );
+var float64ToFloat32 = require( '@stdlib/number/float64/base/to-float32' );
+var avercosf = require( './../lib' );
+
+
+// FIXTURES //
+
+var data = require( './fixtures/julia/data.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 avercosf, 'function', 'main export is a function' );
+ t.end();
+});
+
+tape( 'the function computes the inverse versed cosine', function test( t ) {
+ var expected;
+ var delta;
+ var tol;
+ var x;
+ var y;
+ var i;
+ var e;
+
+ x = data.x;
+ expected = data.expected;
+
+ for ( i = 0; i < x.length; i++ ) {
+ e = float64ToFloat32( expected[ i ] );
+ y = avercosf( x[i] );
+ if ( y === e ) {
+ t.strictEqual( y, e, 'x: '+x[i]+'. E: '+e );
+ } else {
+ delta = absf( y - e );
+ tol = 115.0 * EPS * absf( e );
+ t.ok( delta <= tol, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+e+'. tol: '+tol+'. Δ: '+delta+'.' );
+ }
+ }
+ t.end();
+});
+
+tape( 'the function computes the inverse versed cosine (small negative numbers)', function test( t ) {
+ var expected;
+ var delta;
+ var tol;
+ var x;
+ var y;
+ var i;
+ var e;
+
+ x = smallNegative.x;
+ expected = smallNegative.expected;
+
+ for ( i = 0; i < x.length; i++ ) {
+ e = float64ToFloat32( expected[ i ] );
+ y = avercosf( x[i] );
+ if ( y === e ) {
+ t.strictEqual( y, e, 'x: '+x[i]+'. E: '+e );
+ } else {
+ delta = absf( y - e );
+ tol = EPS * absf( e );
+ t.ok( delta <= tol, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+encodeURIComponent+'. tol: '+tol+'. Δ: '+delta+'.' );
+ }
+ }
+ t.end();
+});
+
+tape( 'the function returns `NaN` if provided `NaN`', function test( t ) {
+ var v = avercosf( NaN );
+ t.strictEqual( isnanf( v ), true, 'returns expected value' );
+ t.end();
+});
+
+tape( 'the function returns `NaN` if provided a value less than `-2`', function test( t ) {
+ var v;
+ var i;
+ for ( i = 0; i < 1e4; i++ ) {
+ v = -( randu() * 1.0e6 ) - ( 2.0 + EPS );
+ t.strictEqual( isnanf( avercosf( v ) ), true, 'returns expected value when provided '+v );
+ }
+ t.end();
+});
+
+tape( 'the function returns `NaN` if provided a value greater than `0`', function test( t ) {
+ var v;
+ var i;
+ for ( i = 0; i < 1e4; i++ ) {
+ v = ( randu() * 1.0e6 ) + 0.0 + EPS;
+ t.strictEqual( isnanf( avercosf( v ) ), true, 'returns expected value when provided '+v );
+ }
+ t.end();
+});
diff --git a/lib/node_modules/@stdlib/math/base/special/avercosf/test/test.native.js b/lib/node_modules/@stdlib/math/base/special/avercosf/test/test.native.js
new file mode 100644
index 000000000000..6b79bb89d68f
--- /dev/null
+++ b/lib/node_modules/@stdlib/math/base/special/avercosf/test/test.native.js
@@ -0,0 +1,131 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2024 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+* http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+'use strict';
+
+// MODULES //
+
+var resolve = require( 'path' ).resolve;
+var tape = require( 'tape' );
+var isnanf = require( '@stdlib/math/base/assert/is-nanf' );
+var randu = require( '@stdlib/random/base/randu' );
+var absf = require( '@stdlib/math/base/special/absf' );
+var EPS = require( '@stdlib/constants/float32/eps' );
+var float64ToFloat32 = require( '@stdlib/number/float64/base/to-float32' );
+var tryRequire = require( '@stdlib/utils/try-require' );
+
+
+// VARIABLES //
+
+var avercosf = tryRequire( resolve( __dirname, './../lib/native.js' ) );
+var opts = {
+ 'skip': ( avercosf instanceof Error )
+};
+
+
+// FIXTURES //
+
+var data = require( './fixtures/julia/data.json' );
+var smallNegative = require( './fixtures/julia/small_negative.json' );
+
+
+// TESTS //
+
+tape( 'main export is a function', opts, function test( t ) {
+ t.ok( true, __filename );
+ t.strictEqual( typeof avercosf, 'function', 'main export is a function' );
+ t.end();
+});
+
+tape( 'the function computes the inverse versed cosine', opts, function test( t ) {
+ var expected;
+ var delta;
+ var tol;
+ var x;
+ var y;
+ var i;
+ var e;
+
+ x = data.x;
+ expected = data.expected;
+
+ for ( i = 0; i < x.length; i++ ) {
+ e = float64ToFloat32( expected[ i ] );
+ y = avercosf( x[i] );
+ if ( y === e ) {
+ t.strictEqual( y, e, 'x: '+x[i]+'. E: '+e );
+ } else {
+ delta = absf( y - e );
+ tol = 115.0 * EPS * absf( e );
+ t.ok( delta <= tol, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+e+'. tol: '+tol+'. Δ: '+delta+'.' );
+ }
+ }
+ t.end();
+});
+
+tape( 'the function computes the inverse versed cosine (small negative numbers)', opts, function test( t ) {
+ var expected;
+ var delta;
+ var tol;
+ var x;
+ var y;
+ var i;
+ var e;
+
+ x = smallNegative.x;
+ expected = smallNegative.expected;
+
+ for ( i = 0; i < x.length; i++ ) {
+ e = float64ToFloat32( expected[ i ] );
+ y = avercosf( x[i] );
+ if ( y === e ) {
+ t.strictEqual( y, e, 'x: '+x[i]+'. E: '+e );
+ } else {
+ delta = absf( y - e );
+ tol = EPS * absf( e );
+ t.ok( delta <= tol, 'within tolerance. x: '+x[i]+'. y: '+y+'. E: '+encodeURIComponent+'. tol: '+tol+'. Δ: '+delta+'.' );
+ }
+ }
+ t.end();
+});
+
+tape( 'the function returns `NaN` if provided `NaN`', opts, function test( t ) {
+ var v = avercosf( NaN );
+ t.strictEqual( isnanf( v ), true, 'returns expected value' );
+ t.end();
+});
+
+tape( 'the function returns `NaN` if provided a value less than `-2`', opts, function test( t ) {
+ var v;
+ var i;
+ for ( i = 0; i < 1e4; i++ ) {
+ v = -( randu() * 1.0e6 ) - ( 2.0 + EPS );
+ t.strictEqual( isnanf( avercosf( v ) ), true, 'returns expected value when provided '+v );
+ }
+ t.end();
+});
+
+tape( 'the function returns `NaN` if provided a value greater than `0`', opts, function test( t ) {
+ var v;
+ var i;
+ for ( i = 0; i < 1e4; i++ ) {
+ v = ( randu() * 1.0e6 ) + 0.0 + EPS;
+ t.strictEqual( isnanf( avercosf( v ) ), true, 'returns expected value when provided '+v );
+ }
+ t.end();
+});