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feat: add-erlang-entropy
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Neerajpathak07 committed Dec 26, 2024
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113 changes: 112 additions & 1 deletion lib/node_modules/@stdlib/stats/base/dists/erlang/entropy/README.md
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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.
WITHOUT WARRANTIES OR CONDITIONS O ANY KIND, either express or implied.
See the License for the specific language governing permissions and
limitations under the License.
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<!-- /.examples -->

<!-- C interface documentation. -->

* * *

<section class="c">

## C APIs

<!-- Section to include introductory text. Make sure to keep an empty line after the intro `section` element and another before the `/section` close. -->

<section class="intro">

</section>

<!-- /.intro -->

<!-- C usage documentation. -->

<section class="usage">

### Usage

```c
#include "stdlib/stats/base/dists/erlang/entropy.h"
```

#### stdlib_base_dists_erlang_entropy( k, lambda )

Evaluates the differential entropy for a erlang distribution with shape parameter `k` and rate parameter `lambda`.

```c
double y = stdlib_base_dists_erlang_entropy( 1.0, 1.0 );
// returns ~1.0

y = stdlib_base_dists_erlang_entropy( 4.0, 12.0 );
// returns ~-0.462

y = stdlib_base_dists_erlang_entropy( 8.0, 2.0 );
// returns ~1.723

y = stdlib_base_dists_erlang_entropy( 1.0, -0.1 );
// returns NaN

y = stdlib_base_dists_erlang_entropy( -0.1, 1.0 );
// returns NaN

y = stdlib_base_dists_erlang_entropy( 2.0, NaN );
// returns NaN

y = stdlib_base_dists_erlang_entropy( NaN, 2.0 );
// returns NaN
```

The function accepts the following arguments:

- **k**: `[in] double` shape parameter
- **lambda**: `[in] double` rate parameter

```c
double stdlib_base_dists_erlang_entropy( const double k, const double lambda );
```
</section>
<!-- /.usage -->
<!-- C API usage notes. Make sure to keep an empty line after the `section`
element and another before the `/section` close. -->
<section class="notes">
</section>
<!-- /.notes -->
<!-- C API usage examples. -->
<section class="examples">
### Examples
```c
#include "stdlib/stats/base/dists/erlang/entropy.h"
#include "stdlib/constants/float64/eps.h"
#include "stdlib/math/base/special/round.h"
#include <stdlib.h>
#include <stdio.h>
int main( void ) {
double lambda;
double k;
double y;
int i;
for ( i = 0; i < 10; i++ ) {
k = stdlib_base_round( ( (double)rand() / (double)RAND_MAX )*10.0 );
lambda = ( ( (double)rand() / (double)RAND_MAX )*10.0 ) + STDLIB_CONSTANT_FLOAT64_EPS;
y = stdlib_base_dists_erlang_entropy( k, lambda );
printf( "k: %1f, λ: %1f, h(X;k,λ): %lf\n", k, lambda, y );
}
}
```

</section>

<!-- /.examples -->

</section>

<!-- /.c -->

<!-- Section to include cited references. If references are included, add a horizontal rule *before* the section. Make sure to keep an empty line after the `section` element and another before the `/section` close. -->

<section class="references">
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/**
* @license Apache-2.0
*
* Copyright (c) 2024 The Stdlib Authors.
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/

'use strict';

// MODULES //

var resolve = require( 'path' ).resolve;
var bench = require( '@stdlib/bench' );
var randu = require( '@stdlib/random/base/randu' );
var isnan = require( '@stdlib/math/base/assert/is-nan' );
var ceil = require( '@stdlib/math/base/special/ceil' );
var tryRequire = require( '@stdlib/utils/try-require' );
var EPS = require( '@stdlib/constants/float64/eps' );
var pkg = require( './../package.json' ).name;


// VARIABLES //

var entropy = tryRequire( resolve( __dirname, './../lib/native.js' ) );
var opts = {
'skip': ( entropy instanceof Error )
};


// MAIN //

bench( pkg+'::native', opts, function benchmark( b ) {
var lambda;
var k;
var y;
var i;

b.tic();
for ( i = 0; i < b.iterations; i++ ) {
k = ceil( randu()*10.0 );
lambda = ( randu()*10.0 ) + EPS;
y = entropy( k, lambda );
if ( isnan( y ) ) {
b.fail( 'should not return NaN' );
}
}
b.toc();
if ( isnan( y ) ) {
b.fail( 'should not return NaN' );
}
b.pass( 'benchmark finished' );
b.end();
});
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#/
# @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
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