From 6f08c56060a3cac54dcb86480985aab402c1bed3 Mon Sep 17 00:00:00 2001
From: gururaj1512 <gururajgurram1512@gmail.com>
Date: Sun, 8 Jun 2025 08:30:58 +0000
Subject: [PATCH 1/3] feat: add C ndarray interface and refactor implementation
 for `stats/base/dvarmpn`

---
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: passed
  - task: lint_javascript_benchmarks
    status: passed
  - task: lint_python
    status: na
  - task: lint_r
    status: na
  - task: lint_c_src
    status: missing_dependencies
  - task: lint_c_examples
    status: missing_dependencies
  - task: lint_c_benchmarks
    status: na
  - 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
---
---
 .../@stdlib/stats/base/dvarmpn/README.md      | 160 +++++++++++++++---
 .../stats/base/dvarmpn/benchmark/benchmark.js |  18 +-
 .../dvarmpn/benchmark/benchmark.native.js     |  14 +-
 .../dvarmpn/benchmark/benchmark.ndarray.js    |  18 +-
 .../benchmark/benchmark.ndarray.native.js     |  14 +-
 .../@stdlib/stats/base/dvarmpn/docs/repl.txt  |  30 ++--
 .../stats/base/dvarmpn/docs/types/index.d.ts  |  12 +-
 .../stats/base/dvarmpn/examples/c/example.c   |   7 +-
 .../stats/base/dvarmpn/examples/index.js      |  14 +-
 .../include/stdlib/stats/base/dvarmpn.h       |   9 +-
 .../@stdlib/stats/base/dvarmpn/lib/dvarmpn.js |  39 +----
 .../stats/base/dvarmpn/lib/dvarmpn.native.js  |   6 +-
 .../@stdlib/stats/base/dvarmpn/lib/index.js   |   4 +-
 .../@stdlib/stats/base/dvarmpn/lib/ndarray.js |  16 +-
 .../stats/base/dvarmpn/lib/ndarray.native.js  |  20 +--
 .../@stdlib/stats/base/dvarmpn/manifest.json  |  50 ++++--
 .../@stdlib/stats/base/dvarmpn/src/addon.c    |  28 ++-
 .../@stdlib/stats/base/dvarmpn/src/dvarmpn.c  |  68 --------
 .../@stdlib/stats/base/dvarmpn/src/main.c     |  86 ++++++++++
 .../stats/base/dvarmpn/test/test.dvarmpn.js   |  13 +-
 .../base/dvarmpn/test/test.dvarmpn.native.js  |  13 +-
 .../stats/base/dvarmpn/test/test.ndarray.js   |  13 +-
 .../base/dvarmpn/test/test.ndarray.native.js  |  13 +-
 23 files changed, 379 insertions(+), 286 deletions(-)
 delete mode 100644 lib/node_modules/@stdlib/stats/base/dvarmpn/src/dvarmpn.c
 create mode 100644 lib/node_modules/@stdlib/stats/base/dvarmpn/src/main.c

diff --git a/lib/node_modules/@stdlib/stats/base/dvarmpn/README.md b/lib/node_modules/@stdlib/stats/base/dvarmpn/README.md
index 0095e5a671d0..0f381084defa 100644
--- a/lib/node_modules/@stdlib/stats/base/dvarmpn/README.md
+++ b/lib/node_modules/@stdlib/stats/base/dvarmpn/README.md
@@ -98,9 +98,9 @@ The use of the term `n-1` is commonly referred to as Bessel's correction. Note,
 var dvarmpn = require( '@stdlib/stats/base/dvarmpn' );
 ```
 
-#### dvarmpn( N, mean, correction, x, stride )
+#### dvarmpn( N, mean, correction, x, strideX )
 
-Computes the [variance][variance] of a double-precision floating-point strided array `x` provided a known `mean` and using Neely's correction algorithm.
+Computes the [variance][variance] of a double-precision floating-point strided array provided a known `mean` and using Neely's correction algorithm.
 
 ```javascript
 var Float64Array = require( '@stdlib/array/float64' );
@@ -117,18 +117,16 @@ The function has the following parameters:
 -   **mean**: mean.
 -   **correction**: degrees of freedom adjustment. Setting this parameter to a value other than `0` has the effect of adjusting the divisor during the calculation of the [variance][variance] according to `N-c` where `c` corresponds to the provided degrees of freedom adjustment. When computing the [variance][variance] of a population, setting this parameter to `0` is the standard choice (i.e., the provided array contains data constituting an entire population). When computing the unbiased sample [variance][variance], setting this parameter to `1` is the standard choice (i.e., the provided array contains data sampled from a larger population; this is commonly referred to as Bessel's correction).
 -   **x**: input [`Float64Array`][@stdlib/array/float64].
--   **stride**: index increment for `x`.
+-   **strideX**: stride length for `x`.
 
-The `N` and `stride` parameters determine which elements in `x` are accessed at runtime. For example, to compute the [variance][variance] of every other element in `x`,
+The `N` and stride parameters determine which elements in the strided array are accessed at runtime For example, to compute the [variance][variance] of every other element in `x`,
 
 ```javascript
 var Float64Array = require( '@stdlib/array/float64' );
-var floor = require( '@stdlib/math/base/special/floor' );
 
 var x = new Float64Array( [ 1.0, 2.0, 2.0, -7.0, -2.0, 3.0, 4.0, 2.0 ] );
-var N = floor( x.length / 2 );
 
-var v = dvarmpn( N, 1.25, 1, x, 2 );
+var v = dvarmpn( 4, 1.25, 1, x, 2 );
 // returns 6.25
 ```
 
@@ -138,18 +136,15 @@ Note that indexing is relative to the first index. To introduce an offset, use [
 
 ```javascript
 var Float64Array = require( '@stdlib/array/float64' );
-var floor = require( '@stdlib/math/base/special/floor' );
 
 var x0 = new Float64Array( [ 2.0, 1.0, 2.0, -2.0, -2.0, 2.0, 3.0, 4.0 ] );
 var x1 = new Float64Array( x0.buffer, x0.BYTES_PER_ELEMENT*1 ); // start at 2nd element
 
-var N = floor( x0.length / 2 );
-
-var v = dvarmpn( N, 1.25, 1, x1, 2 );
+var v = dvarmpn( 4, 1.25, 1, x1, 2 );
 // returns 6.25
 ```
 
-#### dvarmpn.ndarray( N, mean, correction, x, stride, offset )
+#### dvarmpn.ndarray( N, mean, correction, x, strideX, offsetX )
 
 Computes the [variance][variance] of a double-precision floating-point strided array provided a known `mean` and using Neely's correction algorithm and alternative indexing semantics.
 
@@ -164,18 +159,16 @@ var v = dvarmpn.ndarray( x.length, 1.0/3.0, 1, x, 1, 0 );
 
 The function has the following additional parameters:
 
--   **offset**: starting index for `x`.
+-   **offsetX**: starting index for `x`.
 
-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 calculate the [variance][variance] for every other value in `x` starting from the second value
+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 calculate the [variance][variance] for every other element in `x` starting from the second element
 
 ```javascript
 var Float64Array = require( '@stdlib/array/float64' );
-var floor = require( '@stdlib/math/base/special/floor' );
 
 var x = new Float64Array( [ 2.0, 1.0, 2.0, -2.0, -2.0, 2.0, 3.0, 4.0 ] );
-var N = floor( x.length / 2 );
 
-var v = dvarmpn.ndarray( N, 1.25, 1, x, 2, 1 );
+var v = dvarmpn.ndarray( 4, 1.25, 1, x, 2, 1 );
 // returns 6.25
 ```
 
@@ -201,18 +194,12 @@ var v = dvarmpn.ndarray( N, 1.25, 1, x, 2, 1 );
 <!-- eslint no-undef: "error" -->
 
 ```javascript
-var randu = require( '@stdlib/random/base/randu' );
-var round = require( '@stdlib/math/base/special/round' );
-var Float64Array = require( '@stdlib/array/float64' );
+var discreteUniform = require( '@stdlib/random/array/discrete-uniform' );
 var dvarmpn = require( '@stdlib/stats/base/dvarmpn' );
 
-var x;
-var i;
-
-x = new Float64Array( 10 );
-for ( i = 0; i < x.length; i++ ) {
-    x[ i ] = round( (randu()*100.0) - 50.0 );
-}
+var x = discreteUniform( 10, -50, 50, {
+    'dtype': 'float64'
+});
 console.log( x );
 
 var v = dvarmpn( x.length, 0.0, 1, x, 1 );
@@ -223,8 +210,127 @@ console.log( v );
 
 <!-- /.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/dvarmpn.h"
+```
+
+#### stdlib_strided_dvarmpn( N, mean, correction, \*X, strideX )
+
+Computes the [variance][variance] of a double-precision floating-point strided array provided a known `mean` and using Neely's correction algorithm.
+
+```c
+const double x[] = { 1.0, 2.0, 2.0, -7.0, -2.0, 3.0, 4.0, 2.0 };
+
+double v = stdlib_strided_dvarmpn( 4, 1.25, 1.0, x, 2 );
+// returns 6.25
+```
+
+The function accepts the following arguments:
+
+-   **N**: `[in] CBLAS_INT` number of indexed elements.
+-   **N**: `[in] double` mean.
+-   **correction**: `[in] double` degrees of freedom adjustment. Setting this parameter to a value other than `0` has the effect of adjusting the divisor during the calculation of the [variance][variance] according to `N-c` where `c` corresponds to the provided degrees of freedom adjustment. When computing the [variance][variance] of a population, setting this parameter to `0` is the standard choice (i.e., the provided array contains data constituting an entire population). When computing the unbiased sample [variance][variance], setting this parameter to `1` is the standard choice (i.e., the provided array contains data sampled from a larger population; this is commonly referred to as Bessel's correction).
+-   **X**: `[in] double*` input array.
+-   **strideX**: `[in] CBLAS_INT` stride length for `X`.
+
+```c
+double stdlib_strided_dvarmpn( const CBLAS_INT N, const double mean, const double correction, const double *X, const CBLAS_INT strideX );
+```
+
+#### stdlib_strided_dvarmpn_ndarray( N, mean, correction, \*X, strideX, offsetX )
+
+Computes the [variance][variance] of a double-precision floating-point strided array provided a known `mean` and using Neely's correction algorithm and alternative indexing semantics.
+
+```c
+const double x[] = { 1.0, 2.0, 3.0, 4.0, 5.0, 6.0, 7.0, 8.0 };
+
+double v = stdlib_strided_dvarmpn_ndarray( 4, 1.25, 1.0, x, 2, 0 );
+// returns 6.25
+```
+
+The function accepts the following arguments:
+
+-   **N**: `[in] CBLAS_INT` number of indexed elements.
+-   **mean**: `[in] double` mean.
+-   **correction**: `[in] double` degrees of freedom adjustment. Setting this parameter to a value other than `0` has the effect of adjusting the divisor during the calculation of the [variance][variance] according to `N-c` where `c` corresponds to the provided degrees of freedom adjustment. When computing the [variance][variance] of a population, setting this parameter to `0` is the standard choice (i.e., the provided array contains data constituting an entire population). When computing the unbiased sample [variance][variance], setting this parameter to `1` is the standard choice (i.e., the provided array contains data sampled from a larger population; this is commonly referred to as Bessel's correction).
+-   **X**: `[in] double*` input array.
+-   **strideX**: `[in] CBLAS_INT` stride length for `X`.
+-   **offsetX**: `[in] CBLAS_INT` starting index for `X`.
+
+```c
+double stdlib_strided_dvarmpn_ndarray( const CBLAS_INT N, const double mean, const double correction, const double *X, const CBLAS_INT strideX, const CBLAS_INT offsetX );
+```
+
+</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/dvarmpn.h"
+#include <stdio.h>
+
+int main( void ) {
+    // Create a strided array:
+    const double x[] = { 1.0, 2.0, 3.0, 4.0, 5.0, 6.0, 7.0, 8.0 };
+
+    // Specify the number of elements:
+    const int N = 4;
+
+    // Specify the stride length:
+    const int strideX = 2;
+
+    // Compute the variance:
+    double v = stdlib_strided_dvarmpn( N, 4.5, 1, x, strideX );
+
+    // Print the result:
+    printf( "sample variance: %lf\n", v );
+}
+```
+
+</section>
+
+<!-- /.examples -->
+
+</section>
+
+<!-- /.c -->
+
 <section class="references">
 
 ## References
diff --git a/lib/node_modules/@stdlib/stats/base/dvarmpn/benchmark/benchmark.js b/lib/node_modules/@stdlib/stats/base/dvarmpn/benchmark/benchmark.js
index 629b3891f9aa..60a0f372e36f 100644
--- a/lib/node_modules/@stdlib/stats/base/dvarmpn/benchmark/benchmark.js
+++ b/lib/node_modules/@stdlib/stats/base/dvarmpn/benchmark/benchmark.js
@@ -21,14 +21,20 @@
 // MODULES //
 
 var bench = require( '@stdlib/bench' );
-var randu = require( '@stdlib/random/base/randu' );
 var isnan = require( '@stdlib/math/base/assert/is-nan' );
 var pow = require( '@stdlib/math/base/special/pow' );
-var Float64Array = require( '@stdlib/array/float64' );
+var uniform = require( '@stdlib/random/array/uniform' );
 var pkg = require( './../package.json' ).name;
 var dvarmpn = require( './../lib/dvarmpn.js' );
 
 
+// VARIABLES //
+
+var options = {
+	'dtype': 'float64'
+};
+
+
 // FUNCTIONS //
 
 /**
@@ -39,13 +45,7 @@ var dvarmpn = require( './../lib/dvarmpn.js' );
 * @returns {Function} benchmark function
 */
 function createBenchmark( len ) {
-	var x;
-	var i;
-
-	x = new Float64Array( len );
-	for ( i = 0; i < x.length; i++ ) {
-		x[ i ] = ( randu()*20.0 ) - 10.0;
-	}
+	var x = uniform( len, -10.0, 10.0, options );
 	return benchmark;
 
 	function benchmark( b ) {
diff --git a/lib/node_modules/@stdlib/stats/base/dvarmpn/benchmark/benchmark.native.js b/lib/node_modules/@stdlib/stats/base/dvarmpn/benchmark/benchmark.native.js
index cf8da139dace..577d2d13ef1a 100644
--- a/lib/node_modules/@stdlib/stats/base/dvarmpn/benchmark/benchmark.native.js
+++ b/lib/node_modules/@stdlib/stats/base/dvarmpn/benchmark/benchmark.native.js
@@ -22,10 +22,9 @@
 
 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 pow = require( '@stdlib/math/base/special/pow' );
-var Float64Array = require( '@stdlib/array/float64' );
+var uniform = require( '@stdlib/random/array/uniform' );
 var tryRequire = require( '@stdlib/utils/try-require' );
 var pkg = require( './../package.json' ).name;
 
@@ -36,6 +35,9 @@ var dvarmpn = tryRequire( resolve( __dirname, './../lib/dvarmpn.native.js' ) );
 var opts = {
 	'skip': ( dvarmpn instanceof Error )
 };
+var options = {
+	'dtype': 'float64'
+};
 
 
 // FUNCTIONS //
@@ -48,13 +50,7 @@ var opts = {
 * @returns {Function} benchmark function
 */
 function createBenchmark( len ) {
-	var x;
-	var i;
-
-	x = new Float64Array( len );
-	for ( i = 0; i < x.length; i++ ) {
-		x[ i ] = ( randu()*20.0 ) - 10.0;
-	}
+	var x = uniform( len, -10.0, 10.0, options );
 	return benchmark;
 
 	function benchmark( b ) {
diff --git a/lib/node_modules/@stdlib/stats/base/dvarmpn/benchmark/benchmark.ndarray.js b/lib/node_modules/@stdlib/stats/base/dvarmpn/benchmark/benchmark.ndarray.js
index 8fa3ba35a4ae..b47100dc3839 100644
--- a/lib/node_modules/@stdlib/stats/base/dvarmpn/benchmark/benchmark.ndarray.js
+++ b/lib/node_modules/@stdlib/stats/base/dvarmpn/benchmark/benchmark.ndarray.js
@@ -21,14 +21,20 @@
 // MODULES //
 
 var bench = require( '@stdlib/bench' );
-var randu = require( '@stdlib/random/base/randu' );
 var isnan = require( '@stdlib/math/base/assert/is-nan' );
 var pow = require( '@stdlib/math/base/special/pow' );
-var Float64Array = require( '@stdlib/array/float64' );
+var uniform = require( '@stdlib/random/array/uniform' );
 var pkg = require( './../package.json' ).name;
 var dvarmpn = require( './../lib/ndarray.js' );
 
 
+// VARIABLES //
+
+var options = {
+	'dtype': 'float64'
+};
+
+
 // FUNCTIONS //
 
 /**
@@ -39,13 +45,7 @@ var dvarmpn = require( './../lib/ndarray.js' );
 * @returns {Function} benchmark function
 */
 function createBenchmark( len ) {
-	var x;
-	var i;
-
-	x = new Float64Array( len );
-	for ( i = 0; i < x.length; i++ ) {
-		x[ i ] = ( randu()*20.0 ) - 10.0;
-	}
+	var x = uniform( len, -10.0, 10.0, options );
 	return benchmark;
 
 	function benchmark( b ) {
diff --git a/lib/node_modules/@stdlib/stats/base/dvarmpn/benchmark/benchmark.ndarray.native.js b/lib/node_modules/@stdlib/stats/base/dvarmpn/benchmark/benchmark.ndarray.native.js
index 070c702dff6b..406ef510070e 100644
--- a/lib/node_modules/@stdlib/stats/base/dvarmpn/benchmark/benchmark.ndarray.native.js
+++ b/lib/node_modules/@stdlib/stats/base/dvarmpn/benchmark/benchmark.ndarray.native.js
@@ -22,10 +22,9 @@
 
 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 pow = require( '@stdlib/math/base/special/pow' );
-var Float64Array = require( '@stdlib/array/float64' );
+var uniform = require( '@stdlib/random/array/uniform' );
 var tryRequire = require( '@stdlib/utils/try-require' );
 var pkg = require( './../package.json' ).name;
 
@@ -36,6 +35,9 @@ var dvarmpn = tryRequire( resolve( __dirname, './../lib/ndarray.native.js' ) );
 var opts = {
 	'skip': ( dvarmpn instanceof Error )
 };
+var options = {
+	'dtype': 'float64'
+};
 
 
 // FUNCTIONS //
@@ -48,13 +50,7 @@ var opts = {
 * @returns {Function} benchmark function
 */
 function createBenchmark( len ) {
-	var x;
-	var i;
-
-	x = new Float64Array( len );
-	for ( i = 0; i < x.length; i++ ) {
-		x[ i ] = ( randu()*20.0 ) - 10.0;
-	}
+	var x = uniform( len, -10.0, 10.0, options );
 	return benchmark;
 
 	function benchmark( b ) {
diff --git a/lib/node_modules/@stdlib/stats/base/dvarmpn/docs/repl.txt b/lib/node_modules/@stdlib/stats/base/dvarmpn/docs/repl.txt
index 051500d27e9f..2b2e73a96b25 100644
--- a/lib/node_modules/@stdlib/stats/base/dvarmpn/docs/repl.txt
+++ b/lib/node_modules/@stdlib/stats/base/dvarmpn/docs/repl.txt
@@ -1,10 +1,10 @@
 
-{{alias}}( N, mean, correction, x, stride )
+{{alias}}( N, mean, correction, x, strideX )
     Computes the variance of a double-precision floating-point strided array
     provided a known mean and using Neely's correction algorithm.
 
-    The `N` and `stride` parameters determine which elements in `x` are accessed
-    at runtime.
+    The `N` and stride parameters determine which elements in the strided array
+    are accessed at runtime.
 
     Indexing is relative to the first index. To introduce an offset, use a typed
     array view.
@@ -34,8 +34,8 @@
     x: Float64Array
         Input array.
 
-    stride: integer
-        Index increment.
+    strideX: integer
+        Stride length.
 
     Returns
     -------
@@ -49,20 +49,19 @@
     > {{alias}}( x.length, 1.0/3.0, 1, x, 1 )
     ~4.3333
 
-    // Using `N` and `stride` parameters:
+    // Using `N` and stride parameters:
     > x = new {{alias:@stdlib/array/float64}}( [ -2.0, 1.0, 1.0, -5.0, 2.0, -1.0 ] );
-    > var N = {{alias:@stdlib/math/base/special/floor}}( x.length / 2 );
-    > {{alias}}( N, 1.0/3.0, 1, x, 2 )
+    > {{alias}}( 3, 1.0/3.0, 1, x, 2 )
     ~4.3333
 
     // Using view offsets:
     > var x0 = new {{alias:@stdlib/array/float64}}( [ 1.0, -2.0, 3.0, 2.0, 5.0, 1.0 ] );
     > var x1 = new {{alias:@stdlib/array/float64}}( x0.buffer, x0.BYTES_PER_ELEMENT*1 );
-    > N = {{alias:@stdlib/math/base/special/floor}}( x0.length / 2 );
-    > {{alias}}( N, 1.0/3.0, 1, x1, 2 )
+    > {{alias}}( 3, 1.0/3.0, 1, x1, 2 )
     ~4.3333
 
-{{alias}}.ndarray( N, mean, correction, x, stride, offset )
+
+{{alias}}.ndarray( N, mean, correction, x, strideX, offsetX )
     Computes the variance of a double-precision floating-point strided array
     provided a known mean and using Neely's correction algorithm and alternative
     indexing semantics.
@@ -94,10 +93,10 @@
     x: Float64Array
         Input array.
 
-    stride: integer
-        Index increment.
+    strideX: integer
+        Stride length.
 
-    offset: integer
+    offsetX: integer
         Starting index.
 
     Returns
@@ -114,8 +113,7 @@
 
     // Using offset parameter:
     > var x = new {{alias:@stdlib/array/float64}}( [ 1.0, -2.0, 3.0, 2.0, 5.0, 1.0 ] );
-    > var N = {{alias:@stdlib/math/base/special/floor}}( x.length / 2 );
-    > {{alias}}.ndarray( N, 1.0/3.0, 1, x, 2, 1 )
+    > {{alias}}.ndarray( 3, 1.0/3.0, 1, x, 2, 1 )
     ~4.3333
 
     See Also
diff --git a/lib/node_modules/@stdlib/stats/base/dvarmpn/docs/types/index.d.ts b/lib/node_modules/@stdlib/stats/base/dvarmpn/docs/types/index.d.ts
index f3bba910cdba..253f5b6b3daa 100644
--- a/lib/node_modules/@stdlib/stats/base/dvarmpn/docs/types/index.d.ts
+++ b/lib/node_modules/@stdlib/stats/base/dvarmpn/docs/types/index.d.ts
@@ -29,7 +29,7 @@ interface Routine {
 	* @param mean - mean
 	* @param correction - degrees of freedom adjustment
 	* @param x - input array
-	* @param stride - stride length
+	* @param strideX - stride length
 	* @returns variance
 	*
 	* @example
@@ -40,7 +40,7 @@ interface Routine {
 	* var v = dvarmpn( x.length, 1.0/3.0, 1, x, 1 );
 	* // returns ~4.3333
 	*/
-	( N: number, mean: number, correction: number, x: Float64Array, stride: number ): number;
+	( N: number, mean: number, correction: number, x: Float64Array, strideX: number ): number;
 
 	/**
 	* Computes the variance of a double-precision floating-point strided array provided a known mean and using Neely's correction algorithm and alternative indexing semantics.
@@ -49,8 +49,8 @@ interface Routine {
 	* @param mean - mean
 	* @param correction - degrees of freedom adjustment
 	* @param x - input array
-	* @param stride - stride length
-	* @param offset - starting index
+	* @param strideX - stride length
+	* @param offsetX - starting index
 	* @returns variance
 	*
 	* @example
@@ -61,7 +61,7 @@ interface Routine {
 	* var v = dvarmpn.ndarray( x.length, 1.0/3.0, 1, x, 1, 0 );
 	* // returns ~4.3333
 	*/
-	ndarray( N: number, mean: number, correction: number, x: Float64Array, stride: number, offset: number ): number;
+	ndarray( N: number, mean: number, correction: number, x: Float64Array, strideX: number, offsetX: number ): number;
 }
 
 /**
@@ -71,7 +71,7 @@ interface Routine {
 * @param mean - mean
 * @param correction - degrees of freedom adjustment
 * @param x - input array
-* @param stride - stride length
+* @param strideX - stride length
 * @returns variance
 *
 * @example
diff --git a/lib/node_modules/@stdlib/stats/base/dvarmpn/examples/c/example.c b/lib/node_modules/@stdlib/stats/base/dvarmpn/examples/c/example.c
index cf953f3bda3b..e94bbd5dbc5d 100644
--- a/lib/node_modules/@stdlib/stats/base/dvarmpn/examples/c/example.c
+++ b/lib/node_modules/@stdlib/stats/base/dvarmpn/examples/c/example.c
@@ -17,7 +17,6 @@
 */
 
 #include "stdlib/stats/base/dvarmpn.h"
-#include <stdint.h>
 #include <stdio.h>
 
 int main( void ) {
@@ -25,13 +24,13 @@ int main( void ) {
 	const double x[] = { 1.0, 2.0, 3.0, 4.0, 5.0, 6.0, 7.0, 8.0 };
 
 	// Specify the number of elements:
-	int64_t N = 4;
+	const int N = 4;
 
 	// Specify the stride length:
-	int64_t stride = 2;
+	const int strideX = 2;
 
 	// Compute the variance:
-	double v = stdlib_strided_dvarmpn( N, 4.5, 1, x, stride );
+	double v = stdlib_strided_dvarmpn( N, 4.5, 1, x, strideX );
 
 	// Print the result:
 	printf( "sample variance: %lf\n", v );
diff --git a/lib/node_modules/@stdlib/stats/base/dvarmpn/examples/index.js b/lib/node_modules/@stdlib/stats/base/dvarmpn/examples/index.js
index 5cd2c4729b61..d8293294330c 100644
--- a/lib/node_modules/@stdlib/stats/base/dvarmpn/examples/index.js
+++ b/lib/node_modules/@stdlib/stats/base/dvarmpn/examples/index.js
@@ -18,18 +18,12 @@
 
 'use strict';
 
-var randu = require( '@stdlib/random/base/randu' );
-var round = require( '@stdlib/math/base/special/round' );
-var Float64Array = require( '@stdlib/array/float64' );
+var discreteUniform = require( '@stdlib/random/array/discrete-uniform' );
 var dvarmpn = require( './../lib' );
 
-var x;
-var i;
-
-x = new Float64Array( 10 );
-for ( i = 0; i < x.length; i++ ) {
-	x[ i ] = round( (randu()*100.0) - 50.0 );
-}
+var x = discreteUniform( 10, -50, 50, {
+	'dtype': 'float64'
+});
 console.log( x );
 
 var v = dvarmpn( x.length, 0.0, 1, x, 1 );
diff --git a/lib/node_modules/@stdlib/stats/base/dvarmpn/include/stdlib/stats/base/dvarmpn.h b/lib/node_modules/@stdlib/stats/base/dvarmpn/include/stdlib/stats/base/dvarmpn.h
index faa2f0cf310e..b7b511deea08 100644
--- a/lib/node_modules/@stdlib/stats/base/dvarmpn/include/stdlib/stats/base/dvarmpn.h
+++ b/lib/node_modules/@stdlib/stats/base/dvarmpn/include/stdlib/stats/base/dvarmpn.h
@@ -19,7 +19,7 @@
 #ifndef STDLIB_STATS_BASE_DVARMPN_H
 #define STDLIB_STATS_BASE_DVARMPN_H
 
-#include <stdint.h>
+#include "stdlib/blas/base/shared.h"
 
 /*
 * If C++, prevent name mangling so that the compiler emits a binary file having undecorated names, thus mirroring the behavior of a C compiler.
@@ -31,7 +31,12 @@ extern "C" {
 /**
 * Computes the variance of a double-precision floating-point strided array provided a known mean and using Neely's correction algorithm.
 */
-double stdlib_strided_dvarmpn( const int64_t N, const double mean, const double correction, const double *X, const int64_t stride );
+double API_SUFFIX(stdlib_strided_dvarmpn)( const CBLAS_INT N, const double mean, const double correction, const double *X, const CBLAS_INT strideX );
+
+/**
+* Computes the variance of a double-precision floating-point strided array provided a known mean and using Neely's correction algorithm and alternative indexing semantics.
+*/
+double API_SUFFIX(stdlib_strided_dvarmpn_ndarray)( const CBLAS_INT N, const double mean, const double correction, const double *X, const CBLAS_INT strideX, const CBLAS_INT offsetX );
 
 #ifdef __cplusplus
 }
diff --git a/lib/node_modules/@stdlib/stats/base/dvarmpn/lib/dvarmpn.js b/lib/node_modules/@stdlib/stats/base/dvarmpn/lib/dvarmpn.js
index 06ffd38b877a..f050f972e6f7 100644
--- a/lib/node_modules/@stdlib/stats/base/dvarmpn/lib/dvarmpn.js
+++ b/lib/node_modules/@stdlib/stats/base/dvarmpn/lib/dvarmpn.js
@@ -18,6 +18,12 @@
 
 'use strict';
 
+// MODULES //
+
+var stride2offset = require( '@stdlib/strided/base/stride2offset' );
+var ndarray = require( './ndarray.js' );
+
+
 // MAIN //
 
 /**
@@ -32,7 +38,7 @@
 * @param {number} mean - mean
 * @param {number} correction - degrees of freedom adjustment
 * @param {Float64Array} x - input array
-* @param {integer} stride - stride length
+* @param {integer} strideX - stride length
 * @returns {number} variance
 *
 * @example
@@ -43,35 +49,8 @@
 * var v = dvarmpn( x.length, 1.0/3.0, 1, x, 1 );
 * // returns ~4.3333
 */
-function dvarmpn( N, mean, correction, x, stride ) {
-	var ix;
-	var M2;
-	var M;
-	var d;
-	var n;
-	var i;
-
-	n = N - correction;
-	if ( N <= 0 || n <= 0.0 ) {
-		return NaN;
-	}
-	if ( N === 1 || stride === 0 ) {
-		return 0.0;
-	}
-	if ( stride < 0 ) {
-		ix = (1-N) * stride;
-	} else {
-		ix = 0;
-	}
-	M2 = 0.0;
-	M = 0.0;
-	for ( i = 0; i < N; i++ ) {
-		d = x[ ix ] - mean;
-		M2 += d * d;
-		M += d;
-		ix += stride;
-	}
-	return (M2/n) - ((M/N)*(M/n));
+function dvarmpn( N, mean, correction, x, strideX ) {
+	return ndarray( N, mean, correction, x, strideX, stride2offset( N, strideX ) ); // eslint-disable-line max-len
 }
 
 
diff --git a/lib/node_modules/@stdlib/stats/base/dvarmpn/lib/dvarmpn.native.js b/lib/node_modules/@stdlib/stats/base/dvarmpn/lib/dvarmpn.native.js
index acadade5dfd6..2fb5cb1d8a34 100644
--- a/lib/node_modules/@stdlib/stats/base/dvarmpn/lib/dvarmpn.native.js
+++ b/lib/node_modules/@stdlib/stats/base/dvarmpn/lib/dvarmpn.native.js
@@ -32,7 +32,7 @@ var addon = require( './../src/addon.node' );
 * @param {number} mean - mean
 * @param {number} correction - degrees of freedom adjustment
 * @param {Float64Array} x - input array
-* @param {integer} stride - stride length
+* @param {integer} strideX - stride length
 * @returns {number} variance
 *
 * @example
@@ -43,8 +43,8 @@ var addon = require( './../src/addon.node' );
 * var v = dvarmpn( x.length, 1.0/3.0, 1, x, 1 );
 * // returns ~4.3333
 */
-function dvarmpn( N, mean, correction, x, stride ) {
-	return addon( N, mean, correction, x, stride );
+function dvarmpn( N, mean, correction, x, strideX ) {
+	return addon( N, mean, correction, x, strideX );
 }
 
 
diff --git a/lib/node_modules/@stdlib/stats/base/dvarmpn/lib/index.js b/lib/node_modules/@stdlib/stats/base/dvarmpn/lib/index.js
index a067ef4b6b76..c41fca116588 100644
--- a/lib/node_modules/@stdlib/stats/base/dvarmpn/lib/index.js
+++ b/lib/node_modules/@stdlib/stats/base/dvarmpn/lib/index.js
@@ -34,13 +34,11 @@
 *
 * @example
 * var Float64Array = require( '@stdlib/array/float64' );
-* var floor = require( '@stdlib/math/base/special/floor' );
 * var dvarmpn = require( '@stdlib/stats/base/dvarmpn' );
 *
 * var x = new Float64Array( [ 2.0, 1.0, 2.0, -2.0, -2.0, 2.0, 3.0, 4.0 ] );
-* var N = floor( x.length / 2 );
 *
-* var v = dvarmpn.ndarray( N, 1.25, 1, x, 2, 1 );
+* var v = dvarmpn.ndarray( 4, 1.25, 1, x, 2, 1 );
 * // returns 6.25
 */
 
diff --git a/lib/node_modules/@stdlib/stats/base/dvarmpn/lib/ndarray.js b/lib/node_modules/@stdlib/stats/base/dvarmpn/lib/ndarray.js
index 9c90106996c7..b54b219d589e 100644
--- a/lib/node_modules/@stdlib/stats/base/dvarmpn/lib/ndarray.js
+++ b/lib/node_modules/@stdlib/stats/base/dvarmpn/lib/ndarray.js
@@ -32,21 +32,19 @@
 * @param {number} mean - mean
 * @param {number} correction - degrees of freedom adjustment
 * @param {Float64Array} x - input array
-* @param {integer} stride - stride length
-* @param {NonNegativeInteger} offset - starting index
+* @param {integer} strideX - stride length
+* @param {NonNegativeInteger} offsetX - starting index
 * @returns {number} variance
 *
 * @example
 * var Float64Array = require( '@stdlib/array/float64' );
-* var floor = require( '@stdlib/math/base/special/floor' );
 *
 * var x = new Float64Array( [ 2.0, 1.0, 2.0, -2.0, -2.0, 2.0, 3.0, 4.0 ] );
-* var N = floor( x.length / 2 );
 *
-* var v = dvarmpn( N, 1.25, 1, x, 2, 1 );
+* var v = dvarmpn( 4, 1.25, 1, x, 2, 1 );
 * // returns 6.25
 */
-function dvarmpn( N, mean, correction, x, stride, offset ) {
+function dvarmpn( N, mean, correction, x, strideX, offsetX ) {
 	var ix;
 	var M2;
 	var M;
@@ -58,17 +56,17 @@ function dvarmpn( N, mean, correction, x, stride, offset ) {
 	if ( N <= 0 || n <= 0.0 ) {
 		return NaN;
 	}
-	if ( N === 1 || stride === 0 ) {
+	if ( N === 1 || strideX === 0 ) {
 		return 0.0;
 	}
-	ix = offset;
+	ix = offsetX;
 	M2 = 0.0;
 	M = 0.0;
 	for ( i = 0; i < N; i++ ) {
 		d = x[ ix ] - mean;
 		M2 += d * d;
 		M += d;
-		ix += stride;
+		ix += strideX;
 	}
 	return (M2/n) - ((M/N)*(M/n));
 }
diff --git a/lib/node_modules/@stdlib/stats/base/dvarmpn/lib/ndarray.native.js b/lib/node_modules/@stdlib/stats/base/dvarmpn/lib/ndarray.native.js
index b6da08fa1994..efede20c7be3 100644
--- a/lib/node_modules/@stdlib/stats/base/dvarmpn/lib/ndarray.native.js
+++ b/lib/node_modules/@stdlib/stats/base/dvarmpn/lib/ndarray.native.js
@@ -20,8 +20,7 @@
 
 // MODULES //
 
-var Float64Array = require( '@stdlib/array/float64' );
-var addon = require( './dvarmpn.native.js' );
+var addon = require( './../src/addon.node' );
 
 
 // MAIN //
@@ -33,27 +32,20 @@ var addon = require( './dvarmpn.native.js' );
 * @param {number} mean - mean
 * @param {number} correction - degrees of freedom adjustment
 * @param {Float64Array} x - input array
-* @param {integer} stride - stride length
-* @param {NonNegativeInteger} offset - starting index
+* @param {integer} strideX - stride length
+* @param {NonNegativeInteger} offsetX - starting index
 * @returns {number} variance
 *
 * @example
 * var Float64Array = require( '@stdlib/array/float64' );
-* var floor = require( '@stdlib/math/base/special/floor' );
 *
 * var x = new Float64Array( [ 2.0, 1.0, 2.0, -2.0, -2.0, 2.0, 3.0, 4.0 ] );
-* var N = floor( x.length / 2 );
 *
-* var v = dvarmpn( N, 1.25, 1, x, 2, 1 );
+* var v = dvarmpn( 4, 1.25, 1, x, 2, 1 );
 * // returns 6.25
 */
-function dvarmpn( N, mean, correction, x, stride, offset ) {
-	var view;
-	if ( stride < 0 ) {
-		offset += (N-1) * stride;
-	}
-	view = new Float64Array( x.buffer, x.byteOffset+(x.BYTES_PER_ELEMENT*offset), x.length-offset ); // eslint-disable-line max-len
-	return addon( N, mean, correction, view, stride );
+function dvarmpn( N, mean, correction, x, strideX, offsetX ) {
+	return addon.ndarray( N, mean, correction, x, strideX, offsetX );
 }
 
 
diff --git a/lib/node_modules/@stdlib/stats/base/dvarmpn/manifest.json b/lib/node_modules/@stdlib/stats/base/dvarmpn/manifest.json
index ad4bf3c4d7d3..86308d31795d 100644
--- a/lib/node_modules/@stdlib/stats/base/dvarmpn/manifest.json
+++ b/lib/node_modules/@stdlib/stats/base/dvarmpn/manifest.json
@@ -1,6 +1,7 @@
 {
   "options": {
-    "task": "build"
+    "task": "build",
+    "wasm": false
   },
   "fields": [
     {
@@ -27,17 +28,18 @@
   "confs": [
     {
       "task": "build",
+      "wasm": false,
       "src": [
-        "./src/dvarmpn.c"
+        "./src/main.c"
       ],
       "include": [
         "./include"
       ],
-      "libraries": [
-        "-lm"
-      ],
+      "libraries": [],
       "libpath": [],
       "dependencies": [
+        "@stdlib/blas/base/shared",
+        "@stdlib/strided/base/stride2offset",
         "@stdlib/napi/export",
         "@stdlib/napi/argv",
         "@stdlib/napi/argv-int64",
@@ -48,31 +50,51 @@
     },
     {
       "task": "benchmark",
+      "wasm": false,
       "src": [
-        "./src/dvarmpn.c"
+        "./src/main.c"
       ],
       "include": [
         "./include"
       ],
-      "libraries": [
-        "-lm"
-      ],
+      "libraries": [],
       "libpath": [],
-      "dependencies": []
+      "dependencies": [
+        "@stdlib/blas/base/shared",
+        "@stdlib/strided/base/stride2offset"
+      ]
     },
     {
       "task": "examples",
+      "wasm": false,
       "src": [
-        "./src/dvarmpn.c"
+        "./src/main.c"
       ],
       "include": [
         "./include"
       ],
-      "libraries": [
-        "-lm"
+      "libraries": [],
+      "libpath": [],
+      "dependencies": [
+        "@stdlib/blas/base/shared",
+        "@stdlib/strided/base/stride2offset"
+      ]
+    },
+    {
+      "task": "",
+      "wasm": true,
+      "src": [
+        "./src/main.c"
       ],
+      "include": [
+        "./include"
+      ],
+      "libraries": [],
       "libpath": [],
-      "dependencies": []
+      "dependencies": [
+        "@stdlib/blas/base/shared",
+        "@stdlib/strided/base/stride2offset"
+      ]
     }
   ]
 }
diff --git a/lib/node_modules/@stdlib/stats/base/dvarmpn/src/addon.c b/lib/node_modules/@stdlib/stats/base/dvarmpn/src/addon.c
index f2eb4d860dd8..75976351537f 100644
--- a/lib/node_modules/@stdlib/stats/base/dvarmpn/src/addon.c
+++ b/lib/node_modules/@stdlib/stats/base/dvarmpn/src/addon.c
@@ -23,6 +23,7 @@
 #include "stdlib/napi/argv_double.h"
 #include "stdlib/napi/argv_strided_float64array.h"
 #include "stdlib/napi/create_double.h"
+#include "stdlib/blas/base/shared.h"
 #include <node_api.h>
 
 /**
@@ -35,12 +36,31 @@
 static napi_value addon( napi_env env, napi_callback_info info ) {
 	STDLIB_NAPI_ARGV( env, info, argv, argc, 5 );
 	STDLIB_NAPI_ARGV_INT64( env, N, argv, 0 );
-	STDLIB_NAPI_ARGV_INT64( env, stride, argv, 4 );
 	STDLIB_NAPI_ARGV_DOUBLE( env, mean, argv, 1 );
+	STDLIB_NAPI_ARGV_INT64( env, strideX, argv, 4 );
 	STDLIB_NAPI_ARGV_DOUBLE( env, correction, argv, 2 );
-	STDLIB_NAPI_ARGV_STRIDED_FLOAT64ARRAY( env, X, N, stride, argv, 3 );
-	STDLIB_NAPI_CREATE_DOUBLE( env, stdlib_strided_dvarmpn( N, mean, correction, X, stride ), v );
+	STDLIB_NAPI_ARGV_STRIDED_FLOAT64ARRAY( env, X, N, strideX, argv, 3 );
+	STDLIB_NAPI_CREATE_DOUBLE( env, API_SUFFIX(stdlib_strided_dvarmpn)( N, mean, correction, X, strideX ), v );
 	return v;
 }
 
-STDLIB_NAPI_MODULE_EXPORT_FCN( addon )
+/**
+* Receives JavaScript callback invocation data.
+*
+* @param env    environment under which the function is invoked
+* @param info   callback data
+* @return       Node-API value
+*/
+static napi_value addon_method( napi_env env, napi_callback_info info ) {
+	STDLIB_NAPI_ARGV( env, info, argv, argc, 6 );
+	STDLIB_NAPI_ARGV_INT64( env, N, argv, 0 );
+	STDLIB_NAPI_ARGV_DOUBLE( env, mean, argv, 1 );
+	STDLIB_NAPI_ARGV_INT64( env, strideX, argv, 4 );
+	STDLIB_NAPI_ARGV_INT64( env, offsetX, argv, 5 );
+	STDLIB_NAPI_ARGV_DOUBLE( env, correction, argv, 2 );
+	STDLIB_NAPI_ARGV_STRIDED_FLOAT64ARRAY( env, X, N, strideX, argv, 3 );
+	STDLIB_NAPI_CREATE_DOUBLE( env, API_SUFFIX(stdlib_strided_dvarmpn_ndarray)( N, mean, correction, X, strideX, offsetX ), v );
+	return v;
+}
+
+STDLIB_NAPI_MODULE_EXPORT_FCN_WITH_METHOD( addon, "ndarray", addon_method )
diff --git a/lib/node_modules/@stdlib/stats/base/dvarmpn/src/dvarmpn.c b/lib/node_modules/@stdlib/stats/base/dvarmpn/src/dvarmpn.c
deleted file mode 100644
index 47755558d75a..000000000000
--- a/lib/node_modules/@stdlib/stats/base/dvarmpn/src/dvarmpn.c
+++ /dev/null
@@ -1,68 +0,0 @@
-/**
-* @license Apache-2.0
-*
-* Copyright (c) 2020 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.
-*/
-
-#include "stdlib/stats/base/dvarmpn.h"
-#include <stdint.h>
-
-/**
-* Computes the variance of a double-precision floating-point strided array provided a known mean and using Neely's correction algorithm.
-*
-* ## References
-*
-* -   Neely, Peter M. 1966. "Comparison of Several Algorithms for Computation of Means, Standard Deviations and Correlation Coefficients." _Communications of the ACM_ 9 (7). Association for Computing Machinery: 496–99. doi:[10.1145/365719.365958](https://doi.org/10.1145/365719.365958).
-* -   Schubert, Erich, and Michael Gertz. 2018. "Numerically Stable Parallel Computation of (Co-)Variance." In _Proceedings of the 30th International Conference on Scientific and Statistical Database Management_. New York, NY, USA: Association for Computing Machinery. doi:[10.1145/3221269.3223036](https://doi.org/10.1145/3221269.3223036).
-*
-* @param N           number of indexed elements
-* @param mean        mean
-* @param correction  degrees of freedom adjustment
-* @param X           input array
-* @param stride      stride length
-* @return            output value
-*/
-double stdlib_strided_dvarmpn( const int64_t N, const double mean, const double correction, const double *X, const int64_t stride ) {
-	int64_t ix;
-	int64_t i;
-	double dN;
-	double M2;
-	double M;
-	double n;
-	double d;
-
-	dN = (double)N;
-	n = dN - correction;
-	if ( N <= 0 || n <= 0.0 ) {
-		return 0.0 / 0.0; // NaN
-	}
-	if ( N == 1 || stride == 0 ) {
-		return 0.0;
-	}
-	if ( stride < 0 ) {
-		ix = (1-N) * stride;
-	} else {
-		ix = 0;
-	}
-	M2 = 0.0;
-	M = 0.0;
-	for ( i = 0; i < N; i++ ) {
-		d = X[ ix ] - mean;
-		M2 += d * d;
-		M += d;
-		ix += stride;
-	}
-	return (M2/n) - ((M/dN)*(M/n));
-}
diff --git a/lib/node_modules/@stdlib/stats/base/dvarmpn/src/main.c b/lib/node_modules/@stdlib/stats/base/dvarmpn/src/main.c
new file mode 100644
index 000000000000..e22e05d90b60
--- /dev/null
+++ b/lib/node_modules/@stdlib/stats/base/dvarmpn/src/main.c
@@ -0,0 +1,86 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2020 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.
+*/
+
+#include "stdlib/stats/base/dvarmpn.h"
+#include "stdlib/strided/base/stride2offset.h"
+#include "stdlib/blas/base/shared.h"
+
+/**
+* Computes the variance of a double-precision floating-point strided array provided a known mean and using Neely's correction algorithm.
+*
+* ## References
+*
+* -   Neely, Peter M. 1966. "Comparison of Several Algorithms for Computation of Means, Standard Deviations and Correlation Coefficients." _Communications of the ACM_ 9 (7). Association for Computing Machinery: 496–99. doi:[10.1145/365719.365958](https://doi.org/10.1145/365719.365958).
+* -   Schubert, Erich, and Michael Gertz. 2018. "Numerically Stable Parallel Computation of (Co-)Variance." In _Proceedings of the 30th International Conference on Scientific and Statistical Database Management_. New York, NY, USA: Association for Computing Machinery. doi:[10.1145/3221269.3223036](https://doi.org/10.1145/3221269.3223036).
+*
+* @param N            number of indexed elements
+* @param mean         mean
+* @param correction   degrees of freedom adjustment
+* @param X            input array
+* @param strideX      stride length
+* @return             output value
+*/
+double API_SUFFIX(stdlib_strided_dvarmpn)( const CBLAS_INT N, const double mean, const double correction, const double *X, const CBLAS_INT strideX ) {
+	const CBLAS_INT ox = stdlib_strided_stride2offset( N, strideX );
+	return API_SUFFIX(stdlib_strided_dvarmpn_ndarray)( N, mean, correction, X, strideX, ox );
+}
+
+/**
+* Computes the variance of a double-precision floating-point strided array provided a known mean and using Neely's correction algorithm and alternative indexing semantics.
+*
+* ## References
+*
+* -   Neely, Peter M. 1966. "Comparison of Several Algorithms for Computation of Means, Standard Deviations and Correlation Coefficients." _Communications of the ACM_ 9 (7). Association for Computing Machinery: 496–99. doi:[10.1145/365719.365958](https://doi.org/10.1145/365719.365958).
+* -   Schubert, Erich, and Michael Gertz. 2018. "Numerically Stable Parallel Computation of (Co-)Variance." In _Proceedings of the 30th International Conference on Scientific and Statistical Database Management_. New York, NY, USA: Association for Computing Machinery. doi:[10.1145/3221269.3223036](https://doi.org/10.1145/3221269.3223036).
+*
+* @param N            number of indexed elements
+* @param mean         mean
+* @param correction   degrees of freedom adjustment
+* @param X            input array
+* @param strideX      stride length
+* @param offsetX      starting index for X
+* @return             output value
+*/
+double API_SUFFIX(stdlib_strided_dvarmpn_ndarray)( const CBLAS_INT N, const double mean, const double correction, const double *X, const CBLAS_INT strideX, const CBLAS_INT offsetX ) {
+	CBLAS_INT ix;
+	CBLAS_INT i;
+	double dN;
+	double M2;
+	double M;
+	double n;
+	double d;
+
+	dN = (double)N;
+	n = dN - correction;
+	if ( N <= 0 || n <= 0.0 ) {
+		return 0.0 / 0.0; // NaN
+	}
+	if ( N == 1 || strideX == 0 ) {
+		return 0.0;
+	}
+	ix = offsetX;
+	M2 = 0.0;
+	M = 0.0;
+	for ( i = 0; i < N; i++ ) {
+		d = X[ ix ] - mean;
+		M2 += d * d;
+		M += d;
+		ix += strideX;
+	}
+	return (M2/n) - ((M/dN)*(M/n));
+}
diff --git a/lib/node_modules/@stdlib/stats/base/dvarmpn/test/test.dvarmpn.js b/lib/node_modules/@stdlib/stats/base/dvarmpn/test/test.dvarmpn.js
index c39ebcc5c373..55f9f58e2b58 100644
--- a/lib/node_modules/@stdlib/stats/base/dvarmpn/test/test.dvarmpn.js
+++ b/lib/node_modules/@stdlib/stats/base/dvarmpn/test/test.dvarmpn.js
@@ -21,7 +21,6 @@
 // MODULES //
 
 var tape = require( 'tape' );
-var floor = require( '@stdlib/math/base/special/floor' );
 var isnan = require( '@stdlib/math/base/assert/is-nan' );
 var Float64Array = require( '@stdlib/array/float64' );
 var dvarmpn = require( './../lib/dvarmpn.js' );
@@ -121,7 +120,6 @@ tape( 'if provided a `correction` parameter yielding `N-correction` less than or
 });
 
 tape( 'the function supports a `stride` parameter', function test( t ) {
-	var N;
 	var x;
 	var v;
 
@@ -136,15 +134,13 @@ tape( 'the function supports a `stride` parameter', function test( t ) {
 		2.0
 	]);
 
-	N = floor( x.length / 2 );
-	v = dvarmpn( N, 1.25, 1, x, 2 );
+	v = dvarmpn( 4, 1.25, 1, x, 2 );
 
 	t.strictEqual( v, 6.25, 'returns expected value' );
 	t.end();
 });
 
 tape( 'the function supports a negative `stride` parameter', function test( t ) {
-	var N;
 	var x;
 	var v;
 
@@ -159,8 +155,7 @@ tape( 'the function supports a negative `stride` parameter', function test( t )
 		2.0
 	]);
 
-	N = floor( x.length / 2 );
-	v = dvarmpn( N, 1.25, 1, x, -2 );
+	v = dvarmpn( 4, 1.25, 1, x, -2 );
 
 	t.strictEqual( v, 6.25, 'returns expected value' );
 	t.end();
@@ -181,7 +176,6 @@ tape( 'if provided a `stride` parameter equal to `0`, the function returns `0`',
 tape( 'the function supports view offsets', function test( t ) {
 	var x0;
 	var x1;
-	var N;
 	var v;
 
 	x0 = new Float64Array([
@@ -197,9 +191,8 @@ tape( 'the function supports view offsets', function test( t ) {
 	]);
 
 	x1 = new Float64Array( x0.buffer, x0.BYTES_PER_ELEMENT*1 ); // start at 2nd element
-	N = floor(x1.length / 2);
 
-	v = dvarmpn( N, 1.25, 1, x1, 2 );
+	v = dvarmpn( 4, 1.25, 1, x1, 2 );
 	t.strictEqual( v, 6.25, 'returns expected value' );
 
 	t.end();
diff --git a/lib/node_modules/@stdlib/stats/base/dvarmpn/test/test.dvarmpn.native.js b/lib/node_modules/@stdlib/stats/base/dvarmpn/test/test.dvarmpn.native.js
index 350ba90aa36a..0459dcc77617 100644
--- a/lib/node_modules/@stdlib/stats/base/dvarmpn/test/test.dvarmpn.native.js
+++ b/lib/node_modules/@stdlib/stats/base/dvarmpn/test/test.dvarmpn.native.js
@@ -22,7 +22,6 @@
 
 var resolve = require( 'path' ).resolve;
 var tape = require( 'tape' );
-var floor = require( '@stdlib/math/base/special/floor' );
 var isnan = require( '@stdlib/math/base/assert/is-nan' );
 var Float64Array = require( '@stdlib/array/float64' );
 var tryRequire = require( '@stdlib/utils/try-require' );
@@ -130,7 +129,6 @@ tape( 'if provided a `correction` parameter yielding `N-correction` less than or
 });
 
 tape( 'the function supports a `stride` parameter', opts, function test( t ) {
-	var N;
 	var x;
 	var v;
 
@@ -145,15 +143,13 @@ tape( 'the function supports a `stride` parameter', opts, function test( t ) {
 		2.0
 	]);
 
-	N = floor( x.length / 2 );
-	v = dvarmpn( N, 1.25, 1, x, 2 );
+	v = dvarmpn( 4, 1.25, 1, x, 2 );
 
 	t.strictEqual( v, 6.25, 'returns expected value' );
 	t.end();
 });
 
 tape( 'the function supports a negative `stride` parameter', opts, function test( t ) {
-	var N;
 	var x;
 	var v;
 
@@ -168,8 +164,7 @@ tape( 'the function supports a negative `stride` parameter', opts, function test
 		2.0
 	]);
 
-	N = floor( x.length / 2 );
-	v = dvarmpn( N, 1.25, 1, x, -2 );
+	v = dvarmpn( 4, 1.25, 1, x, -2 );
 
 	t.strictEqual( v, 6.25, 'returns expected value' );
 	t.end();
@@ -190,7 +185,6 @@ tape( 'if provided a `stride` parameter equal to `0`, the function returns `0`',
 tape( 'the function supports view offsets', opts, function test( t ) {
 	var x0;
 	var x1;
-	var N;
 	var v;
 
 	x0 = new Float64Array([
@@ -206,9 +200,8 @@ tape( 'the function supports view offsets', opts, function test( t ) {
 	]);
 
 	x1 = new Float64Array( x0.buffer, x0.BYTES_PER_ELEMENT*1 ); // start at 2nd element
-	N = floor(x1.length / 2);
 
-	v = dvarmpn( N, 1.25, 1, x1, 2 );
+	v = dvarmpn( 4, 1.25, 1, x1, 2 );
 	t.strictEqual( v, 6.25, 'returns expected value' );
 
 	t.end();
diff --git a/lib/node_modules/@stdlib/stats/base/dvarmpn/test/test.ndarray.js b/lib/node_modules/@stdlib/stats/base/dvarmpn/test/test.ndarray.js
index e924282277b3..680b7078df02 100644
--- a/lib/node_modules/@stdlib/stats/base/dvarmpn/test/test.ndarray.js
+++ b/lib/node_modules/@stdlib/stats/base/dvarmpn/test/test.ndarray.js
@@ -21,7 +21,6 @@
 // MODULES //
 
 var tape = require( 'tape' );
-var floor = require( '@stdlib/math/base/special/floor' );
 var isnan = require( '@stdlib/math/base/assert/is-nan' );
 var Float64Array = require( '@stdlib/array/float64' );
 var dvarmpn = require( './../lib/ndarray.js' );
@@ -121,7 +120,6 @@ tape( 'if provided a `correction` parameter yielding `N-correction` less than or
 });
 
 tape( 'the function supports a `stride` parameter', function test( t ) {
-	var N;
 	var x;
 	var v;
 
@@ -136,15 +134,13 @@ tape( 'the function supports a `stride` parameter', function test( t ) {
 		2.0
 	]);
 
-	N = floor( x.length / 2 );
-	v = dvarmpn( N, 1.25, 1, x, 2, 0 );
+	v = dvarmpn( 4, 1.25, 1, x, 2, 0 );
 
 	t.strictEqual( v, 6.25, 'returns expected value' );
 	t.end();
 });
 
 tape( 'the function supports a negative `stride` parameter', function test( t ) {
-	var N;
 	var x;
 	var v;
 
@@ -159,8 +155,7 @@ tape( 'the function supports a negative `stride` parameter', function test( t )
 		2.0
 	]);
 
-	N = floor( x.length / 2 );
-	v = dvarmpn( N, 1.25, 1, x, -2, 6 );
+	v = dvarmpn( 4, 1.25, 1, x, -2, 6 );
 
 	t.strictEqual( v, 6.25, 'returns expected value' );
 	t.end();
@@ -179,7 +174,6 @@ tape( 'if provided a `stride` parameter equal to `0`, the function returns `0`',
 });
 
 tape( 'the function supports an `offset` parameter', function test( t ) {
-	var N;
 	var x;
 	var v;
 
@@ -193,9 +187,8 @@ tape( 'the function supports an `offset` parameter', function test( t ) {
 		3.0,
 		4.0   // 3
 	]);
-	N = floor( x.length / 2 );
 
-	v = dvarmpn( N, 1.25, 1, x, 2, 1 );
+	v = dvarmpn( 4, 1.25, 1, x, 2, 1 );
 	t.strictEqual( v, 6.25, 'returns expected value' );
 
 	t.end();
diff --git a/lib/node_modules/@stdlib/stats/base/dvarmpn/test/test.ndarray.native.js b/lib/node_modules/@stdlib/stats/base/dvarmpn/test/test.ndarray.native.js
index dcecc2f42cd4..2d9b315be9e2 100644
--- a/lib/node_modules/@stdlib/stats/base/dvarmpn/test/test.ndarray.native.js
+++ b/lib/node_modules/@stdlib/stats/base/dvarmpn/test/test.ndarray.native.js
@@ -22,7 +22,6 @@
 
 var resolve = require( 'path' ).resolve;
 var tape = require( 'tape' );
-var floor = require( '@stdlib/math/base/special/floor' );
 var isnan = require( '@stdlib/math/base/assert/is-nan' );
 var Float64Array = require( '@stdlib/array/float64' );
 var tryRequire = require( '@stdlib/utils/try-require' );
@@ -130,7 +129,6 @@ tape( 'if provided a `correction` parameter yielding `N-correction` less than or
 });
 
 tape( 'the function supports a `stride` parameter', opts, function test( t ) {
-	var N;
 	var x;
 	var v;
 
@@ -145,15 +143,13 @@ tape( 'the function supports a `stride` parameter', opts, function test( t ) {
 		2.0
 	]);
 
-	N = floor( x.length / 2 );
-	v = dvarmpn( N, 1.25, 1, x, 2, 0 );
+	v = dvarmpn( 4, 1.25, 1, x, 2, 0 );
 
 	t.strictEqual( v, 6.25, 'returns expected value' );
 	t.end();
 });
 
 tape( 'the function supports a negative `stride` parameter', opts, function test( t ) {
-	var N;
 	var x;
 	var v;
 
@@ -168,8 +164,7 @@ tape( 'the function supports a negative `stride` parameter', opts, function test
 		2.0
 	]);
 
-	N = floor( x.length / 2 );
-	v = dvarmpn( N, 1.25, 1, x, -2, 6 );
+	v = dvarmpn( 4, 1.25, 1, x, -2, 6 );
 
 	t.strictEqual( v, 6.25, 'returns expected value' );
 	t.end();
@@ -188,7 +183,6 @@ tape( 'if provided a `stride` parameter equal to `0`, the function returns `0`',
 });
 
 tape( 'the function supports an `offset` parameter', opts, function test( t ) {
-	var N;
 	var x;
 	var v;
 
@@ -202,9 +196,8 @@ tape( 'the function supports an `offset` parameter', opts, function test( t ) {
 		3.0,
 		4.0   // 3
 	]);
-	N = floor( x.length / 2 );
 
-	v = dvarmpn( N, 1.25, 1, x, 2, 1 );
+	v = dvarmpn( 4, 1.25, 1, x, 2, 1 );
 	t.strictEqual( v, 6.25, 'returns expected value' );
 
 	t.end();

From e3f2fad54fb2ab807abdc872296b3fe0ee9ac9f0 Mon Sep 17 00:00:00 2001
From: stdlib-bot <82920195+stdlib-bot@users.noreply.github.com>
Date: Sun, 8 Jun 2025 08:43:43 +0000
Subject: [PATCH 2/3] chore: update copyright years

---
 lib/node_modules/@stdlib/stats/base/dvarmpn/src/main.c | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/lib/node_modules/@stdlib/stats/base/dvarmpn/src/main.c b/lib/node_modules/@stdlib/stats/base/dvarmpn/src/main.c
index e22e05d90b60..a4a83c431fd1 100644
--- a/lib/node_modules/@stdlib/stats/base/dvarmpn/src/main.c
+++ b/lib/node_modules/@stdlib/stats/base/dvarmpn/src/main.c
@@ -1,7 +1,7 @@
 /**
 * @license Apache-2.0
 *
-* Copyright (c) 2020 The Stdlib Authors.
+* 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.

From a7f09c251c874c1b35a9819b96513fce96fdf2a0 Mon Sep 17 00:00:00 2001
From: Athan <kgryte@gmail.com>
Date: Fri, 13 Jun 2025 01:55:01 -0700
Subject: [PATCH 3/3] docs: avoid duplicate declaration

Signed-off-by: Athan <kgryte@gmail.com>
---
 lib/node_modules/@stdlib/stats/base/dvarmpn/docs/repl.txt | 2 +-
 1 file changed, 1 insertion(+), 1 deletion(-)

diff --git a/lib/node_modules/@stdlib/stats/base/dvarmpn/docs/repl.txt b/lib/node_modules/@stdlib/stats/base/dvarmpn/docs/repl.txt
index 2b2e73a96b25..34b2f05704f8 100644
--- a/lib/node_modules/@stdlib/stats/base/dvarmpn/docs/repl.txt
+++ b/lib/node_modules/@stdlib/stats/base/dvarmpn/docs/repl.txt
@@ -112,7 +112,7 @@
     ~4.3333
 
     // Using offset parameter:
-    > var x = new {{alias:@stdlib/array/float64}}( [ 1.0, -2.0, 3.0, 2.0, 5.0, 1.0 ] );
+    > x = new {{alias:@stdlib/array/float64}}( [ 1.0, -2.0, 3.0, 2.0, 5.0, 1.0 ] );
     > {{alias}}.ndarray( 3, 1.0/3.0, 1, x, 2, 1 )
     ~4.3333