feat: add C implementation for @stdlib/stats/base/dists/studentized-range/cdf

lib/node_modules/@stdlib/stats/base/dists/studentized-range/README.md

@@ -92,6 +92,93 @@ out = tukey.quantile( 0.9, r, v, n );
 
 <!-- Section for related `stdlib` packages. Do not manually edit this section, as it is automatically populated. -->
 
+<!-- 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/studentized-range"
+```
+
+### tukey
+
+[Studentized range][studentized-range] distribution.
+
+```c
+studentized_range_t dist;
+```
+
+The namespace contains the following distribution functions:
+
+-   `cdf( x, r, v[, nranges=1] )`: Studentized range distribution cumulative distribution function (CDF).
+-   `quantile( p, r, v[, nranges=1] )`: Studentized range distribution quantile function.
+
+</section>
+
+<section class="examples">
+
+### Examples: Using the CDF Function
+
+```c
+#include <stdio.h>
+#include "studentized_range.h"
+
+int main() {
+    // Parameters for the Studentized Range distribution:
+    double r = 5.0;       // Number of means
+    double v = 20.0;      // Degrees of freedom
+    double n = 3.0;       // Number of ranges
+    double x = 2.0;       // Value at which to calculate the CDF
+
+    // Calculate the cumulative distribution function (CDF):
+    double cdf = studentized_range_cdf( x, r, v, n );
+    printf( "CDF at x = %.2f: %.4f\n", x, cdf );
+
+    return 0;
+}
+```
+
+### Examples: Using the Quantile Function
+
+```c
+#include <stdio.h>
+#include "studentized_range.h"
+
+int main() {
+    // Parameters for the Studentized Range distribution:
+    double r = 5.0;       // Number of means
+    double v = 20.0;      // Degrees of freedom
+    double n = 3.0;       // Number of ranges
+    double p = 0.9;       // Probability value
+
+    // Calculate the quantile function:
+    double quantile = studentized_range_quantile( p, r, v, n );
+    printf( "Quantile at p = %.2f: %.4f\n", p, quantile );
+
+    return 0;
+}
+```
+
+</section>
+
 <section class="related">
 
 </section>

lib/node_modules/@stdlib/stats/base/dists/studentized-range/cdf/README.md

@@ -119,6 +119,71 @@ for ( i = 0; i < 10; i++ ) {
 
 <!-- Section for related `stdlib` packages. Do not manually edit this section, as it is automatically populated. -->
 
+<!-- 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/studentized-range"
+```
+
+### tukey
+
+[Studentized range][studentized-range] distribution.
+
+```c
+studentized_range_t dist;
+```
+
+The namespace contains the following distribution functions:
+
+-   `cdf( x, r, v[, nranges=1] )`: Studentized range distribution cumulative distribution function (CDF).
+
+</section>
+
+<section class="examples">
+
+### Examples: Using the CDF Function
+
+```c
+#include <stdio.h>
+#include "studentized_range.h"
+
+int main() {
+    // Parameters for the Studentized Range distribution:
+    double r = 5.0;       // Number of means
+    double v = 20.0;      // Degrees of freedom
+    double n = 3.0;       // Number of ranges
+    double x = 2.0;       // Value at which to calculate the CDF
+
+    // Calculate the cumulative distribution function (CDF):
+    double cdf = studentized_range_cdf( x, r, v, n );
+    printf( "CDF at x = %.2f: %.4f\n", x, cdf );
+
+    return 0;
+}
+```
+
+</section>
+
 <section class="related">
 
 </section>

lib/node_modules/@stdlib/stats/base/dists/studentized-range/cdf/benchmark/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 := 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