feat: add C ndarray interface and refactor implementation

---
type: pre_commit_static_analysis_report
description: Results of running static analysis checks when committing changes.
report:
  - task: lint_filenames
    status: passed
  - task: lint_editorconfig
    status: passed
  - task: lint_markdown
    status: passed
  - task: lint_package_json
    status: na
  - task: lint_repl_help
    status: passed
  - task: lint_javascript_src
    status: passed
  - task: lint_javascript_cli
    status: na
  - task: lint_javascript_examples
    status: passed
  - task: lint_javascript_tests
    status: na
  - task: lint_javascript_benchmarks
    status: na
  - task: lint_python
    status: na
  - task: lint_r
    status: na
  - task: lint_c_src
    status: passed
  - task: lint_c_examples
    status: passed
  - task: lint_c_benchmarks
    status: passed
  - task: lint_c_tests_fixtures
    status: na
  - task: lint_shell
    status: na
  - task: lint_typescript_declarations
    status: passed
  - task: lint_typescript_tests
    status: na
  - task: lint_license_headers
    status: passed
---

---
type: pre_push_report
description: Results of running various checks prior to pushing changes.
report:
  - task: run_javascript_examples
    status: na
  - task: run_c_examples
    status: na
  - task: run_cpp_examples
    status: na
  - task: run_javascript_readme_examples
    status: na
  - task: run_c_benchmarks
    status: na
  - task: run_cpp_benchmarks
    status: na
  - task: run_fortran_benchmarks
    status: na
  - task: run_javascript_benchmarks
    status: na
  - task: run_julia_benchmarks
    status: na
  - task: run_python_benchmarks
    status: na
  - task: run_r_benchmarks
    status: na
  - task: run_javascript_tests
    status: na
---

Author: 0PrashantYadav0

lib/node_modules/@stdlib/blas/ext/base/ssort2hp/README.md

@@ -32,7 +32,7 @@ var ssort2hp = require( '@stdlib/blas/ext/base/ssort2hp' );
 
 #### ssort2hp( N, order, x, strideX, y, strideY )
 
-Simultaneously sorts two single-precision floating-point strided arrays based on the sort order of the first array `x` using heapsort.
+Simultaneously sorts two single-precision floating-point strided arrays based on the sort order of the first array using heapsort.
 
 ```javascript
 var Float32Array = require( '@stdlib/array/float32' );
@@ -54,11 +54,11 @@ The function has the following parameters:
 -   **N**: number of indexed elements.
 -   **order**: sort order. If `order < 0.0`, the input strided array `x` is sorted in **decreasing** order. If `order > 0.0`, the input strided array `x` is sorted in **increasing** order. If `order == 0.0`, the input strided arrays are left unchanged.
 -   **x**: first input [`Float32Array`][@stdlib/array/float32].
--   **strideX**: `x` index increment.
+-   **strideX**: stride length for `x`.
 -   **y**: second input [`Float32Array`][@stdlib/array/float32].
--   **strideY**: `y` index increment.
+-   **strideY**: stride length for `y`.
 
-The `N` and stride parameters determine which elements in the strided arrays are accessed at runtime. For example, to sort every other element
+The `N` and stride parameters determine which elements in the strided arrays are accessed at runtime. For example, to sort every other element:
 
 ```javascript
 var Float32Array = require( '@stdlib/array/float32' );
@@ -100,7 +100,7 @@ console.log( y0 );
 
 #### ssort2hp.ndarray( N, order, x, strideX, offsetX, y, strideY, offsetY )
 
-Simultaneously sorts two single-precision floating-point strided arrays based on the sort order of the first array `x` using heapsort and alternative indexing semantics.
+Simultaneously sorts two single-precision floating-point strided arrays based on the sort order of the first array using heapsort and alternative indexing semantics.
 
 ```javascript
 var Float32Array = require( '@stdlib/array/float32' );
@@ -119,10 +119,10 @@ console.log( y );
 
 The function has the following additional parameters:
 
--   **offsetX**: `x` starting index.
--   **offsetY**: `y` starting index.
+-   **offsetX**: starting index for `x`.
+-   **offsetY**: starting index for `y`.
 
-While [`typed array`][mdn-typed-array] views mandate a view offset based on the underlying `buffer`, the offset parameter supports indexing semantics based on a starting index. For example, to access only the last three elements of `x`
+While [`typed array`][mdn-typed-array] views mandate a view offset based on the underlying buffer, the offset parameters support indexing semantics based on starting indices. For example, to access only the last three elements:
 
 ```javascript
 var Float32Array = require( '@stdlib/array/float32' );
@@ -165,28 +165,15 @@ console.log( y );
 <!-- eslint no-undef: "error" -->
 
 ```javascript
-var round = require( '@stdlib/math/base/special/round' );
-var randu = require( '@stdlib/random/base/randu' );
-var Float32Array = require( '@stdlib/array/float32' );
+var discreteUniform = require( '@stdlib/random/array/discrete-uniform' );
 var ssort2hp = require( '@stdlib/blas/ext/base/ssort2hp' );
 
-var rand;
-var sign;
-var i;
-
-var x = new Float32Array( 10 );
-var y = new Float32Array( 10 ); // index array
-for ( i = 0; i < x.length; i++ ) {
-    rand = round( randu()*100.0 );
-    sign = randu();
-    if ( sign < 0.5 ) {
-        sign = -1.0;
-    } else {
-        sign = 1.0;
-    }
-    x[ i ] = sign * rand;
-    y[ i ] = i;
-}
+var x = discreteUniform( 10, -100, 100, {
+    'dtype': 'float64'
+});
+var y = discreteUniform( 10, -100, 100, {
+    'dtype': 'float64'
+});
 console.log( x );
 console.log( y );
 
@@ -201,6 +188,137 @@ console.log( y );
 
 * * *
 
+<!-- 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/blas/ext/base/ssort2hp.h"
+```
+
+#### stdlib_strided_ssort2hp( N, order, \*X, strideX, \*Y, strideY )
+
+Simultaneously sorts two single-precision floating-point strided arrays based on the sort order of the first array using heapsort.
+
+```c
+float x[] = { 1.0f, -2.0f, 3.0f, -4.0f };
+float y[] = { 0.0f, 1.0f, 2.0f, 3.0f };
+
+stdlib_strided_ssort2hp( 4, 1.0f, x, 1, y, 1 );
+```
+
+The function accepts the following arguments:
+
+-   **N**: `[in] CBLAS_INT` number of indexed elements.
+-   **order**: `[in] float` sort order. If `order < 0.0`, the input strided array `x` is sorted in **decreasing** order. If `order > 0.0`, the input strided array `x` is sorted in **increasing** order. If `order == 0.0`, the input strided arrays are left unchanged.
+-   **X**: `[inout] float*` input array.
+-   **strideX**: `[in] CBLAS_INT` stride length for `X`.
+-   **Y**: `[inout] float*` input array.
+-   **strideY**: `[in] CBLAS_INT` stride length for `Y`.
+
+```c
+stdlib_strided_ssort2hp( const CBLAS_INT N, const float order, float *X, CBLAS_INT strideX, float *Y, CBLAS_INT strideY );
+```
+
+<!--lint disable maximum-heading-length-->
+
+#### stdlib_strided_ssort2hp_ndarray( N, order, \*X, strideX, offsetX, \*Y, strideY, offsetY )
+
+<!--lint enable maximum-heading-length-->
+
+Simultaneously sorts two single-precision floating-point strided arrays based on the sort order of the first array using heapsort and alternative indexing semantics.
+
+```c
+float x[] = { 1.0f, -2.0f, 3.0f, -4.0f };
+float y[] = { 0.0f, 1.0f, 2.0f, 3.0f };
+
+stdlib_strided_ssort2hp_ndarray( 4, 1.0f, x, 1, 0, y, 1, 0 );
+```
+
+The function accepts the following arguments:
+
+-   **N**: `[in] CBLAS_INT` number of indexed elements.
+-   **order**: `[in] float` sort order.
+-   **X**: `[inout] float*` input array.
+-   **strideX**: `[in] CBLAS_INT` stride length for `X`.
+-   **offsetX**: `[in] CBLAS_INT` starting index for `X`.
+-   **Y**: `[inout] float*` input array.
+-   **strideY**: `[in] CBLAS_INT` stride length for `Y`.
+-   **offsetY**: `[in] CBLAS_INT` starting index for `Y`.
+
+```c
+stdlib_strided_ssort2hp_ndarray( const CBLAS_INT N, const float order, float *X, CBLAS_INT strideX, CBLAS_INT offsetX, float *Y, CBLAS_INT strideY, CBLAS_INT offsetY );
+```
+
+</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/blas/ext/base/ssort2hp.h"
+#include <stdio.h>
+
+int main( void ) {
+    // Create strided arrays:
+    float x[] = { 1.0f, -2.0f, 3.0f, -4.0f, 5.0f, -6.0f, 7.0f, -8.0f };
+    float y[] = { 0.0f, 1.0f, 2.0f, 3.0f, 4.0f, 5.0f, 6.0f, 7.0f };
+
+    // Specify the number of elements:
+    int N = 8;
+
+    // Specify the strides:
+    int strideX = 1;
+    int strideY = 1;
+
+    // Sort the arrays:
+    stdlib_strided_ssort2hp( N, 1.0f, x, strideX, y, strideY );
+
+    // Print the result:
+    for ( int i = 0; i < 8; i++ ) {
+        printf( "x[ %i ] = %f\n", i, x[ i ] );
+        printf( "y[ %i ] = %lf\n", i, y[ i ] );
+    }
+}
+```
+
+</section>
+
+<!-- /.examples -->
+
+</section>
+
+<!-- /.c -->
+
 <section class="references">
 
 ## References

lib/node_modules/@stdlib/blas/ext/base/ssort2hp/benchmark/c/Makefile

@@ -0,0 +1,146 @@
+#/
+# @license Apache-2.0
+#
+# Copyright (c) 2025 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.unsorted_random.length.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