feat: add C implementation for stats/base/dists/frechet/logpdf: fix CodeReview comments

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Author: iraandrushko

lib/node_modules/@stdlib/stats/base/dists/frechet/logpdf/README.md

@@ -199,7 +199,7 @@ for ( i = 0; i < 100; i++ ) {
 
 #### stdlib_base_dists_frechet_logpdf( x, alpha, s, m )
 
-Returns the the logarithm of probability density function for a Fréchet distribution with shape `alpha`, scale `s`, and location `m` at a value `x`.
+Evaluates the logarithm of the [probability density function][pdf] (PDF) for a [Fréchet][frechet-distribution] distribution with shape `alpha`, scale `s`, and location `m` at a value `x`.
 
 ```c
 double y = stdlib_base_dists_frechet_logpdf( 10.0, 2.0, 3.0, 2.0 );
@@ -247,16 +247,16 @@ static double random_uniform( const double min, const double max ) {
 }
 
 int main( void ) {
-    double x;
     double alpha;
+    double x;
     double s;
     double m;
     double y;
     int i;
 
     for ( i = 0; i < 10; i++ ) {
-        x = random_uniform( 0.0, 10.0 );
         alpha = random_uniform( 0.0, 10.0 );
+        x = random_uniform( 0.0, 10.0 );
         s = random_uniform( 0.0, 10.0 );
         m = random_uniform( 0.0, 10.0 );
         y = stdlib_base_dists_frechet_logpdf( x, alpha, s, m );

lib/node_modules/@stdlib/stats/base/dists/frechet/logpdf/benchmark/c/benchmark.c

@@ -93,11 +93,11 @@ static double random_uniform( const double min, const double max ) {
 * @return elapsed time in seconds
 */
 static double benchmark( void ) {
-	double elapsed;
-	double x [ 100 ];
 	double alpha[ 100 ];
-	double s[ 100 ];
 	double m[ 100 ];
+	double x[ 100 ];
+	double s[ 100 ];
+	double elapsed;
 	double y;
 	double t;
 	int i;
@@ -106,7 +106,7 @@ static double benchmark( void ) {
 		x[ i ] = random_uniform( -50.0, 50.0 );
 		alpha[ i ] = random_uniform( STDLIB_CONSTANT_FLOAT64_EPS, 20.0 );
 		s[ i ] = random_uniform( STDLIB_CONSTANT_FLOAT64_EPS, 20.0 );
-		m[ i ] = random_uniform( -20.0, 20.0 );
+		m[ i ] = random_uniform( -20.0, 40.0 );
 	}
 
 	t = tic();

lib/node_modules/@stdlib/stats/base/dists/frechet/logpdf/manifest.json

@@ -82,8 +82,7 @@
         "@stdlib/math/base/special/pow",
         "@stdlib/math/base/special/ln",
         "@stdlib/constants/float64/ninf",
-        "@stdlib/constants/float64/nan",
-        "@stdlib/constants/float64/eps"
+        "@stdlib/constants/float64/nan"
       ]
     }
   ]

lib/node_modules/@stdlib/stats/base/dists/frechet/logpdf/src/main.c

@@ -24,13 +24,13 @@
 #include "stdlib/constants/float64/nan.h"
 
 /**
-* Returns the logpdf for a Fréchet distribution with shape `alpha`, scale `s`, and location `m` at a value `x`.
+* Evaluates the logarithm of the probability density function (PDF) for a Fréchet distribution with shape `alpha`, scale `s`, and location `m` at a value `x`.
 *
-* @param x    	  x parameter
+* @param x    	  input value
 * @param alpha    shape parameter
 * @param s        scale parameter
 * @param m        location parameter
-* @return         logpdf
+* @return         evaluated logPDF
 *
 * @example
 * double y = stdlib_base_dists_frechet_logpdf( 10.0, 2.0, 3.0, 2.0 );
@@ -52,5 +52,5 @@ double stdlib_base_dists_frechet_logpdf( const double x, const double alpha, con
 		return STDLIB_CONSTANT_FLOAT64_NINF;
 	}
 	z = ( x - m ) / s;
-	return stdlib_base_ln( alpha/s ) - ( 1.0+alpha ) * stdlib_base_ln( z ) - stdlib_base_pow( z, -alpha );
+	return stdlib_base_ln( alpha/s ) - ( ( 1.0+alpha ) * stdlib_base_ln( z ) ) - stdlib_base_pow( z, -alpha );
 }