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feat(add C implementation): add stats/base/dists/arcsine
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lib/node_modules/@stdlib/stats/base/dists/arcsine/logcdf/README.md

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<!-- /.examples -->
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<!-- C interface documentation. -->
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* * *
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<section class="c">
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## C APIs
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<!-- Section to include introductory text. Make sure to keep an empty line after the intro `section` element and another before the `/section` close. -->
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<section class="intro">
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</section>
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<!-- /.intro -->
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<!-- C usage documentation. -->
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<section class="usage">
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### Usage
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```c
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#include "stdlib/stats/base/dists/arcsine/logcdf.h"
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```
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#### stdlib_base_dists_arcsine_logcdf( a, b )
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Evaluates the logarithm of the [cumulative distribution function][cdf] (CDF) for an [arcsine][arcsine-distribution] distribution with parameters `a` (minimum support) and `b` (maximum support).
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```c
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double out = stdlib_base_dists_arcsine_logcdf( 9.0, 0.0, 10.0 );
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// returns ~-0.23
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```
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The function accepts the following arguments:
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- **x**: `[in] double` minimum support
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- **a**: `[in] double` minimum support
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- **b**: `[in] double` maximum support
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```c
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double stdlib_base_dists_arcsine_logcdf( const double x, const double a, const double b );
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```
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</section>
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<!-- /.usage -->
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<!-- C API usage notes. Make sure to keep an empty line after the `section` element and another before the `/section` close. -->
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<section class="notes">
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</section>
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<!-- /.notes -->
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<!-- C API usage examples. -->
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<section class="examples">
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### Examples
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```c
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#include "stdlib/stats/base/dists/arcsine/logcdf.h"
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#include <stdlib.h>
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#include <stdio.h>
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int main( void ) {
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double x;
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double a;
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double b;
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double y;
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int i;
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for ( i = 0; i < 25; i++ ) {
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x = ( (double)rand() / (double)RAND_MAX ) * 20.0 - 10.0;
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a = ( (double)rand() / (double)RAND_MAX ) * 20.0 - 20.0;
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b = a + ( (double)rand() / (double)RAND_MAX ) * 40.0;
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y = stdlib_base_dists_arcsine_logcdf( x, a, b );
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printf( "x: %lf ,a: %lf, b: %lf, ln(F;x,a,b): %lf\n", x, a, b, y );
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}
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}
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```
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</section>
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<!-- /.examples -->
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</section>
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<!-- /.c -->
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<!-- Section for related `stdlib` packages. Do not manually edit this section, as it is automatically populated. -->
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<section class="related">
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#/
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# @license Apache-2.0
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#
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# Copyright (c) 2024 The Stdlib Authors.
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#
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# Licensed under the Apache License, Version 2.0 (the "License");
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# you may not use this file except in compliance with the License.
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# You may obtain a copy of the License at
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#
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# http://www.apache.org/licenses/LICENSE-2.0
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#
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# Unless required by applicable law or agreed to in writing, software
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# distributed under the License is distributed on an "AS IS" BASIS,
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# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
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# See the License for the specific language governing permissions and
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# limitations under the License.
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#/
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# VARIABLES #
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ifndef VERBOSE
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QUIET := @
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else
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QUIET :=
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endif
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# Determine the OS ([1][1], [2][2]).
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#
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# [1]: https://en.wikipedia.org/wiki/Uname#Examples
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# [2]: http://stackoverflow.com/a/27776822/2225624
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OS ?= $(shell uname)
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ifneq (, $(findstring MINGW,$(OS)))
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OS := WINNT
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else
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ifneq (, $(findstring MSYS,$(OS)))
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OS := WINNT
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else
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ifneq (, $(findstring CYGWIN,$(OS)))
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OS := WINNT
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else
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ifneq (, $(findstring Windows_NT,$(OS)))
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OS := WINNT
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endif
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endif
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endif
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endif
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# Define the program used for compiling C source files:
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ifdef C_COMPILER
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CC := $(C_COMPILER)
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else
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CC := gcc
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endif
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# Define the command-line options when compiling C files:
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CFLAGS ?= \
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-std=c99 \
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-O3 \
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-Wall \
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-pedantic
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# Determine whether to generate position independent code ([1][1], [2][2]).
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#
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# [1]: https://gcc.gnu.org/onlinedocs/gcc/Code-Gen-Options.html#Code-Gen-Options
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# [2]: http://stackoverflow.com/questions/5311515/gcc-fpic-option
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ifeq ($(OS), WINNT)
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fPIC ?=
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else
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fPIC ?= -fPIC
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endif
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# List of includes (e.g., `-I /foo/bar -I /beep/boop/include`):
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INCLUDE ?=
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# List of source files:
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SOURCE_FILES ?=
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# List of libraries (e.g., `-lopenblas -lpthread`):
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LIBRARIES ?=
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# List of library paths (e.g., `-L /foo/bar -L /beep/boop`):
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LIBPATH ?=
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# List of C targets:
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c_targets := benchmark.out
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# RULES #
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#/
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# Compiles source files.
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#
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# @param {string} [C_COMPILER] - C compiler (e.g., `gcc`)
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# @param {string} [CFLAGS] - C compiler options
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# @param {(string|void)} [fPIC] - compiler flag determining whether to generate position independent code (e.g., `-fPIC`)
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# @param {string} [INCLUDE] - list of includes (e.g., `-I /foo/bar -I /beep/boop/include`)
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# @param {string} [SOURCE_FILES] - list of source files
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# @param {string} [LIBPATH] - list of library paths (e.g., `-L /foo/bar -L /beep/boop`)
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# @param {string} [LIBRARIES] - list of libraries (e.g., `-lopenblas -lpthread`)
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#
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# @example
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# make
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#
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# @example
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# make all
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#/
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all: $(c_targets)
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.PHONY: all
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#/
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# Compiles C source files.
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#
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# @private
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# @param {string} CC - C compiler (e.g., `gcc`)
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# @param {string} CFLAGS - C compiler options
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# @param {(string|void)} fPIC - compiler flag determining whether to generate position independent code (e.g., `-fPIC`)
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# @param {string} INCLUDE - list of includes (e.g., `-I /foo/bar`)
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# @param {string} SOURCE_FILES - list of source files
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# @param {string} LIBPATH - list of library paths (e.g., `-L /foo/bar`)
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# @param {string} LIBRARIES - list of libraries (e.g., `-lopenblas`)
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#/
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$(c_targets): %.out: %.c
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$(QUIET) $(CC) $(CFLAGS) $(fPIC) $(INCLUDE) -o $@ $(SOURCE_FILES) $< $(LIBPATH) -lm $(LIBRARIES)
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#/
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# Runs compiled benchmarks.
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#
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# @example
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# make run
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#/
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run: $(c_targets)
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$(QUIET) ./$<
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.PHONY: run
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#/
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# Removes generated files.
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#
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# @example
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# make clean
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#/
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clean:
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$(QUIET) -rm -f *.o *.out
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.PHONY: clean
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/**
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* @license Apache-2.0
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*
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* Copyright (c) 2024 The Stdlib Authors.
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*
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* Licensed under the Apache License, Version 2.0 (the "License");
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* you may not use this file except in compliance with the License.
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* You may obtain a copy of the License at
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*
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* http://www.apache.org/licenses/LICENSE-2.0
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*
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* Unless required by applicable law or agreed to in writing, software
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* distributed under the License is distributed on an "AS IS" BASIS,
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* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
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* See the License for the specific language governing permissions and
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* limitations under the License.
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*/
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#include "stdlib/stats/base/dists/arcsine/logcdf.h"
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#include <stdlib.h>
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#include <stdio.h>
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#include <math.h>
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#include <time.h>
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#include <sys/time.h>
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#define NAME "arcsine-logcdf"
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#define ITERATIONS 1000000
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#define REPEATS 3
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/**
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* Prints the TAP version.
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*/
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static void print_version( void ) {
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printf( "TAP version 13\n" );
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}
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/**
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* Prints the TAP summary.
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*
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* @param total total number of tests
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* @param passing total number of passing tests
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*/
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static void print_summary( int total, int passing ) {
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printf( "#\n" );
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printf( "1..%d\n", total ); // TAP plan
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printf( "# total %d\n", total );
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printf( "# pass %d\n", passing );
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printf( "#\n" );
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printf( "# ok\n" );
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}
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/**
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* Prints benchmarks results.
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*
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* @param elapsed elapsed time in seconds
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*/
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static void print_results( double elapsed ) {
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double rate = (double)ITERATIONS / elapsed;
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printf( " ---\n" );
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printf( " iterations: %d\n", ITERATIONS );
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printf( " elapsed: %0.9f\n", elapsed );
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printf( " rate: %0.9f\n", rate );
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printf( " ...\n" );
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}
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/**
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* Returns a clock time.
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*
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* @return clock time
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*/
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static double tic( void ) {
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struct timeval now;
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gettimeofday( &now, NULL );
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return (double)now.tv_sec + (double)now.tv_usec/1.0e6;
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}
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/**
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* Generates a random number on the interval [0,1).
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*
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* @return random number
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*/
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static double rand_double( void ) {
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int r = rand();
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return (double)r / ( (double)RAND_MAX + 1.0 );
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}
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/**
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* Runs a benchmark.
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*
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* @return elapsed time in seconds
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*/
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static double benchmark( void ) {
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double elapsed;
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double x;
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double a;
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double b;
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double y;
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double t;
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int i;
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t = tic();
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for ( i = 0; i < ITERATIONS; i++ ) {
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x = ( 20.0 * rand_double() ) - 10.0;
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a = ( 20.0 * rand_double() ) - 20.0;
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b = a + ( 40.0 * rand_double() );
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y = stdlib_base_dists_arcsine_logcdf( x, a, b );
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if ( y != y ) {
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printf( "should not return NaN\n" );
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break;
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}
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}
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elapsed = tic() - t;
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if ( y != y ) {
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printf( "should not return NaN\n" );
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}
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return elapsed;
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}
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/**
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* Main execution sequence.
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*/
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int main( void ) {
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double elapsed;
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int i;
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// Use the current time to seed the random number generator:
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srand( time( NULL ) );
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print_version();
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for ( i = 0; i < REPEATS; i++ ) {
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printf( "# c::%s\n", NAME );
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elapsed = benchmark();
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print_results( elapsed );
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printf( "ok %d benchmark finished\n", i+1 );
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}
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print_summary( REPEATS, REPEATS );
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}

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