diff --git a/lib/node_modules/@stdlib/stats/strided/scovarmtk/README.md b/lib/node_modules/@stdlib/stats/strided/scovarmtk/README.md
new file mode 100644
index 000000000000..853b9c082f68
--- /dev/null
+++ b/lib/node_modules/@stdlib/stats/strided/scovarmtk/README.md
@@ -0,0 +1,386 @@
+
+
+
+
+# scovarmtk
+
+> Calculate the [covariance][covariance] of two single-precision floating-point strided arrays provided known means and using a one-pass textbook algorithm.
+
+
+
+The population [covariance][covariance] of two finite size populations of size `N` is given by
+
+
+
+```math
+\mathop{\mathrm{cov_N}} = \frac{1}{N} \sum_{i=0}^{N-1} (x_i - \mu_x)(y_i - \mu_y)
+```
+
+
+
+where the population means are given by
+
+
+
+```math
+\mu_x = \frac{1}{N} \sum_{i=0}^{N-1} x_i
+```
+
+
+
+and
+
+
+
+```math
+\mu_y = \frac{1}{N} \sum_{i=0}^{N-1} y_i
+```
+
+
+
+Often in the analysis of data, the true population [covariance][covariance] is not known _a priori_ and must be estimated from samples drawn from population distributions. If one attempts to use the formula for the population [covariance][covariance], the result is biased and yields a **biased sample covariance**. To compute an **unbiased sample covariance** for samples of size `n`,
+
+
+
+```math
+\mathop{\mathrm{cov_n}} = \frac{1}{n-1} \sum_{i=0}^{n-1} (x_i - \bar{x}_n)(y_i - \bar{y}_n)
+```
+
+
+
+where sample means are given by
+
+
+
+```math
+\bar{x} = \frac{1}{n} \sum_{i=0}^{n-1} x_i
+```
+
+
+
+and
+
+
+
+```math
+\bar{y} = \frac{1}{n} \sum_{i=0}^{n-1} y_i
+```
+
+
+
+The use of the term `n-1` is commonly referred to as Bessel's correction. Depending on the characteristics of the population distributions, other correction factors (e.g., `n-1.5`, `n+1`, etc) can yield better estimators.
+
+
+
+
+
+
+
+## Usage
+
+```javascript
+var scovarmtk = require( '@stdlib/stats/strided/scovarmtk' );
+```
+
+#### scovarmtk( N, correction, meanx, x, strideX, meany, y, strideY )
+
+Computes the [covariance][covariance] of two single-precision floating-point strided arrays provided known means and using a one-pass textbook algorithm.
+
+```javascript
+var Float32Array = require( '@stdlib/array/float32' );
+
+var x = new Float32Array( [ 1.0, -2.0, 2.0 ] );
+var y = new Float32Array( [ 2.0, -2.0, 1.0 ] );
+
+var v = scovarmtk( x.length, 1, 1.0/3.0, x, 1, 1.0/3.0, y, 1 );
+// returns ~3.8333
+```
+
+The function has the following parameters:
+
+- **N**: number of indexed elements.
+- **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 [covariance][covariance] according to `N-c` where `c` corresponds to the provided degrees of freedom adjustment. When computing the population [covariance][covariance], setting this parameter to `0` is the standard choice (i.e., the provided arrays contain data constituting entire populations). When computing the unbiased sample [covariance][covariance], setting this parameter to `1` is the standard choice (i.e., the provided arrays contain data sampled from larger populations; this is commonly referred to as Bessel's correction).
+- **meanx**: mean of `x`.
+- **x**: first input [`Float32Array`][@stdlib/array/float32].
+- **strideX**: stride length for `x`.
+- **meany**: mean of `y`.
+- **y**: second input [`Float32Array`][@stdlib/array/float32].
+- **strideY**: stride length for `y`.
+
+The `N` and stride parameters determine which elements in the strided arrays are accessed at runtime. For example, to compute the [covariance][covariance] of every other element in `x` and `y`,
+
+```javascript
+var Float32Array = require( '@stdlib/array/float32' );
+
+var x = new Float32Array( [ 1.0, 2.0, 2.0, -7.0, -2.0, 3.0, 4.0, 2.0 ] );
+var y = new Float32Array( [ 2.0, 1.0, 2.0, 1.0, -2.0, 2.0, 3.0, 4.0 ] );
+
+var v = scovarmtk( 4, 1, 1.25, x, 2, 1.25, y, 2 );
+// returns 5.25
+```
+
+Note that indexing is relative to the first index. To introduce an offset, use [`typed array`][mdn-typed-array] views.
+
+
+
+```javascript
+var Float32Array = require( '@stdlib/array/float32' );
+
+var x0 = new Float32Array( [ 2.0, 1.0, 2.0, -2.0, -2.0, 2.0, 3.0, 4.0 ] );
+var y0 = new Float32Array( [ 2.0, -2.0, 2.0, 1.0, -2.0, 4.0, 3.0, 2.0 ] );
+
+var x1 = new Float32Array( x0.buffer, x0.BYTES_PER_ELEMENT*1 ); // start at 2nd element
+var y1 = new Float32Array( y0.buffer, y0.BYTES_PER_ELEMENT*1 ); // start at 2nd element
+
+var v = scovarmtk( 4, 1, 1.25, x1, 2, 1.25, y1, 2 );
+// returns ~1.9167
+```
+
+#### scovarmtk.ndarray( N, correction, meanx, x, strideX, offsetX, meany, y, strideY, offsetY )
+
+Computes the [covariance][covariance] of two single-precision floating-point strided arrays provided known means and using a one-pass textbook algorithm and alternative indexing semantics.
+
+```javascript
+var Float32Array = require( '@stdlib/array/float32' );
+
+var x = new Float32Array( [ 1.0, -2.0, 2.0 ] );
+var y = new Float32Array( [ 2.0, -2.0, 1.0 ] );
+
+var v = scovarmtk.ndarray( x.length, 1, 1.0/3.0, x, 1, 0, 1.0/3.0, y, 1, 0 );
+// returns ~3.8333
+```
+
+The function has the following additional parameters:
+
+- **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 parameters support indexing semantics based on starting indices. For example, to calculate the [covariance][covariance] for every other element in `x` and `y` starting from the second element
+
+```javascript
+var Float32Array = require( '@stdlib/array/float32' );
+
+var x = new Float32Array( [ 2.0, 1.0, 2.0, -2.0, -2.0, 2.0, 3.0, 4.0 ] );
+var y = new Float32Array( [ -7.0, 2.0, 2.0, 1.0, -2.0, 2.0, 3.0, 4.0 ] );
+
+var v = scovarmtk.ndarray( 4, 1, 1.25, x, 2, 1, 1.25, y, 2, 1 );
+// returns 6.0
+```
+
+
+
+
+
+
+
+## Notes
+
+- If `N <= 0`, both functions return `NaN`.
+- If `N - c` is less than or equal to `0` (where `c` corresponds to the provided degrees of freedom adjustment), both functions return `NaN`.
+
+
+
+
+
+
+
+## Examples
+
+
+
+```javascript
+var discreteUniform = require( '@stdlib/random/array/discrete-uniform' );
+var scovarmtk = require( '@stdlib/stats/strided/scovarmtk' );
+
+var opts = {
+ 'dtype': 'float32'
+};
+var x = discreteUniform( 10, -50, 50, opts );
+console.log( x );
+
+var y = discreteUniform( 10, -50, 50, opts );
+console.log( y );
+
+var v = scovarmtk( x.length, 1, 0.0, x, 1, 0.0, y, 1 );
+console.log( v );
+```
+
+
+
+
+
+
+
+* * *
+
+
+
+## C APIs
+
+
+
+
+
+
+
+
+
+
+
+### Usage
+
+```c
+#include "stdlib/stats/strided/scovarmtk.h"
+```
+
+#### stdlib_strided_scovarmtk( N, correction, meanx, \*X, strideX, meany, \*Y, strideY )
+
+Computes the [covariance][covariance] of two single-precision floating-point strided arrays provided known means and using a one-pass textbook algorithm.
+
+```c
+const float x[] = { 1.0f, -2.0f, 2.0f };
+const float y[] = { 2.0f, -2.0f, 1.0f };
+
+float v = stdlib_strided_scovarmtk( 3, 1.0f, 1.0f/3.0f, x, 1, 1.0f/3.0f, y, 1 );
+// returns ~3.8333f
+```
+
+The function accepts the following arguments:
+
+- **N**: `[in] CBLAS_INT` number of indexed elements.
+- **correction**: `[in] float` 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 [covariance][covariance] according to `N-c` where `c` corresponds to the provided degrees of freedom adjustment. When computing the population [covariance][covariance], setting this parameter to `0` is the standard choice (i.e., the provided arrays contain data constituting entire populations). When computing the unbiased sample [covariance][covariance], setting this parameter to `1` is the standard choice (i.e., the provided arrays contain data sampled from larger populations; this is commonly referred to as Bessel's correction).
+- **meanx**: `[in] float` mean of `X`.
+- **X**: `[in] float*` first input array.
+- **strideX**: `[in] CBLAS_INT` stride length for `X`.
+- **meany**: `[in] float` mean of `Y`.
+- **Y**: `[in] float*` second input array.
+- **strideY**: `[in] CBLAS_INT` stride length for `Y`.
+
+```c
+float stdlib_strided_scovarmtk( const CBLAS_INT N, const float correction, const float meanx, const float *X, const CBLAS_INT strideX, const float meany, const float *Y, const CBLAS_INT strideY );
+```
+
+#### stdlib_strided_scovarmtk_ndarray( N, correction, meanx, \*X, strideX, offsetX, meany, \*Y, strideY, offsetY )
+
+Computes the [covariance][covariance] of two single-precision floating-point strided arrays provided known means and using a one-pass textbook algorithm and alternative indexing semantics.
+
+```c
+const float x[] = { 1.0f, -2.0f, 2.0f };
+const float y[] = { 2.0f, -2.0f, 1.0f };
+
+float v = stdlib_strided_scovarmtk_ndarray( 3, 1.0f, 1.0f/3.0f, x, 1, 0, 1.0f/3.0f, y, 1, 0 );
+// returns ~3.8333f
+```
+
+The function accepts the following arguments:
+
+- **N**: `[in] CBLAS_INT` number of indexed elements.
+- **correction**: `[in] float` 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 [covariance][covariance] according to `N-c` where `c` corresponds to the provided degrees of freedom adjustment. When computing the population [covariance][covariance], setting this parameter to `0` is the standard choice (i.e., the provided arrays contain data constituting entire populations). When computing the unbiased sample [covariance][covariance], setting this parameter to `1` is the standard choice (i.e., the provided arrays contain data sampled from larger populations; this is commonly referred to as Bessel's correction).
+- **meanx**: `[in] float` mean of `X`.
+- **X**: `[in] float*` first input array.
+- **strideX**: `[in] CBLAS_INT` stride length for `X`.
+- **offsetX**: `[in] CBLAS_INT` starting index for `X`.
+- **meany**: `[in] float` mean of `Y`.
+- **Y**: `[in] float*` second input array.
+- **strideY**: `[in] CBLAS_INT` stride length for `Y`.
+- **offsetY**: `[in] CBLAS_INT` starting index for `Y`.
+
+```c
+float stdlib_strided_scovarmtk_ndarray( const CBLAS_INT N, const float correction, const float meanx, const float *X, const CBLAS_INT strideX, const CBLAS_INT offsetX, const float meany, const float *Y, const CBLAS_INT strideY, const CBLAS_INT offsetY );
+```
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+### Examples
+
+```c
+#include "stdlib/stats/strided/scovarmtk.h"
+#include
+
+int main( void ) {
+ // Create a strided array:
+ const float x[] = { 1.0f, 2.0f, 3.0f, 4.0f, 5.0f, 6.0f, 7.0f, 8.0f };
+
+ // Specify the number of elements:
+ const int N = 4;
+
+ // Specify the stride length:
+ const int strideX = 2;
+
+ // Compute the covariance of `x` with itself:
+ float v = stdlib_strided_scovarmtk( N, 1.0f, 4.5f, x, strideX, 4.5f, x, -strideX );
+
+ // Print the result:
+ printf( "covariance: %f\n", v );
+}
+```
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+[covariance]: https://en.wikipedia.org/wiki/Covariance
+
+[@stdlib/array/float32]: https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/array/float32
+
+[mdn-typed-array]: https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Global_Objects/TypedArray
+
+
+
+
diff --git a/lib/node_modules/@stdlib/stats/strided/scovarmtk/benchmark/benchmark.js b/lib/node_modules/@stdlib/stats/strided/scovarmtk/benchmark/benchmark.js
new file mode 100644
index 000000000000..65062d7766ec
--- /dev/null
+++ b/lib/node_modules/@stdlib/stats/strided/scovarmtk/benchmark/benchmark.js
@@ -0,0 +1,96 @@
+/**
+* @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.
+*/
+
+'use strict';
+
+// MODULES //
+
+var bench = require( '@stdlib/bench' );
+var uniform = require( '@stdlib/random/array/uniform' );
+var isnanf = require( '@stdlib/math/base/assert/is-nanf' );
+var pow = require( '@stdlib/math/base/special/pow' );
+var pkg = require( './../package.json' ).name;
+var scovarmtk = require( './../lib/scovarmtk.js' );
+
+
+// VARIABLES //
+
+var options = {
+ 'dtype': 'float32'
+};
+
+
+// FUNCTIONS //
+
+/**
+* Creates a benchmark function.
+*
+* @private
+* @param {PositiveInteger} len - array length
+* @returns {Function} benchmark function
+*/
+function createBenchmark( len ) {
+ var x = uniform( len, -10.0, 10.0, options );
+ return benchmark;
+
+ function benchmark( b ) {
+ var v;
+ var i;
+
+ b.tic();
+ for ( i = 0; i < b.iterations; i++ ) {
+ v = scovarmtk( x.length, 1, 0.0, x, 1, 0.0, x, 1 );
+ if ( isnanf( v ) ) {
+ b.fail( 'should not return NaN' );
+ }
+ }
+ b.toc();
+ if ( isnanf( v ) ) {
+ b.fail( 'should not return NaN' );
+ }
+ b.pass( 'benchmark finished' );
+ b.end();
+ }
+}
+
+
+// MAIN //
+
+/**
+* Main execution sequence.
+*
+* @private
+*/
+function main() {
+ var len;
+ var min;
+ var max;
+ var f;
+ var i;
+
+ min = 1; // 10^min
+ max = 6; // 10^max
+
+ for ( i = min; i <= max; i++ ) {
+ len = pow( 10, i );
+ f = createBenchmark( len );
+ bench( pkg+':len='+len, f );
+ }
+}
+
+main();
diff --git a/lib/node_modules/@stdlib/stats/strided/scovarmtk/benchmark/benchmark.native.js b/lib/node_modules/@stdlib/stats/strided/scovarmtk/benchmark/benchmark.native.js
new file mode 100644
index 000000000000..e5b0c5e13aec
--- /dev/null
+++ b/lib/node_modules/@stdlib/stats/strided/scovarmtk/benchmark/benchmark.native.js
@@ -0,0 +1,101 @@
+/**
+* @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.
+*/
+
+'use strict';
+
+// MODULES //
+
+var resolve = require( 'path' ).resolve;
+var bench = require( '@stdlib/bench' );
+var uniform = require( '@stdlib/random/array/uniform' );
+var isnanf = require( '@stdlib/math/base/assert/is-nanf' );
+var pow = require( '@stdlib/math/base/special/pow' );
+var tryRequire = require( '@stdlib/utils/try-require' );
+var pkg = require( './../package.json' ).name;
+
+
+// VARIABLES //
+
+var scovarmtk = tryRequire( resolve( __dirname, './../lib/scovarmtk.native.js' ) );
+var opts = {
+ 'skip': ( scovarmtk instanceof Error )
+};
+var options = {
+ 'dtype': 'float32'
+};
+
+
+// FUNCTIONS //
+
+/**
+* Creates a benchmark function.
+*
+* @private
+* @param {PositiveInteger} len - array length
+* @returns {Function} benchmark function
+*/
+function createBenchmark( len ) {
+ var x = uniform( len, -10.0, 10.0, options );
+ return benchmark;
+
+ function benchmark( b ) {
+ var v;
+ var i;
+
+ b.tic();
+ for ( i = 0; i < b.iterations; i++ ) {
+ v = scovarmtk( x.length, 1, 0.0, x, 1, 0.0, x, 1 );
+ if ( isnanf( v ) ) {
+ b.fail( 'should not return NaN' );
+ }
+ }
+ b.toc();
+ if ( isnanf( v ) ) {
+ b.fail( 'should not return NaN' );
+ }
+ b.pass( 'benchmark finished' );
+ b.end();
+ }
+}
+
+
+// MAIN //
+
+/**
+* Main execution sequence.
+*
+* @private
+*/
+function main() {
+ var len;
+ var min;
+ var max;
+ var f;
+ var i;
+
+ min = 1; // 10^min
+ max = 6; // 10^max
+
+ for ( i = min; i <= max; i++ ) {
+ len = pow( 10, i );
+ f = createBenchmark( len );
+ bench( pkg+'::native:len='+len, opts, f );
+ }
+}
+
+main();
diff --git a/lib/node_modules/@stdlib/stats/strided/scovarmtk/benchmark/benchmark.ndarray.js b/lib/node_modules/@stdlib/stats/strided/scovarmtk/benchmark/benchmark.ndarray.js
new file mode 100644
index 000000000000..df5a9d67a2bf
--- /dev/null
+++ b/lib/node_modules/@stdlib/stats/strided/scovarmtk/benchmark/benchmark.ndarray.js
@@ -0,0 +1,96 @@
+/**
+* @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.
+*/
+
+'use strict';
+
+// MODULES //
+
+var bench = require( '@stdlib/bench' );
+var uniform = require( '@stdlib/random/array/uniform' );
+var isnanf = require( '@stdlib/math/base/assert/is-nanf' );
+var pow = require( '@stdlib/math/base/special/pow' );
+var pkg = require( './../package.json' ).name;
+var scovarmtk = require( './../lib/ndarray.js' );
+
+
+// VARIABLES //
+
+var options = {
+ 'dtype': 'float32'
+};
+
+
+// FUNCTIONS //
+
+/**
+* Creates a benchmark function.
+*
+* @private
+* @param {PositiveInteger} len - array length
+* @returns {Function} benchmark function
+*/
+function createBenchmark( len ) {
+ var x = uniform( len, -10.0, 10.0, options );
+ return benchmark;
+
+ function benchmark( b ) {
+ var v;
+ var i;
+
+ b.tic();
+ for ( i = 0; i < b.iterations; i++ ) {
+ v = scovarmtk( x.length, 1, 0.0, x, 1, 0, 0.0, x, 1, 0 );
+ if ( isnanf( v ) ) {
+ b.fail( 'should not return NaN' );
+ }
+ }
+ b.toc();
+ if ( isnanf( v ) ) {
+ b.fail( 'should not return NaN' );
+ }
+ b.pass( 'benchmark finished' );
+ b.end();
+ }
+}
+
+
+// MAIN //
+
+/**
+* Main execution sequence.
+*
+* @private
+*/
+function main() {
+ var len;
+ var min;
+ var max;
+ var f;
+ var i;
+
+ min = 1; // 10^min
+ max = 6; // 10^max
+
+ for ( i = min; i <= max; i++ ) {
+ len = pow( 10, i );
+ f = createBenchmark( len );
+ bench( pkg+':ndarray:len='+len, f );
+ }
+}
+
+main();
diff --git a/lib/node_modules/@stdlib/stats/strided/scovarmtk/benchmark/benchmark.ndarray.native.js b/lib/node_modules/@stdlib/stats/strided/scovarmtk/benchmark/benchmark.ndarray.native.js
new file mode 100644
index 000000000000..23555b77d3f6
--- /dev/null
+++ b/lib/node_modules/@stdlib/stats/strided/scovarmtk/benchmark/benchmark.ndarray.native.js
@@ -0,0 +1,101 @@
+/**
+* @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.
+*/
+
+'use strict';
+
+// MODULES //
+
+var resolve = require( 'path' ).resolve;
+var bench = require( '@stdlib/bench' );
+var uniform = require( '@stdlib/random/array/uniform' );
+var isnanf = require( '@stdlib/math/base/assert/is-nanf' );
+var pow = require( '@stdlib/math/base/special/pow' );
+var tryRequire = require( '@stdlib/utils/try-require' );
+var pkg = require( './../package.json' ).name;
+
+
+// VARIABLES //
+
+var scovarmtk = tryRequire( resolve( __dirname, './../lib/ndarray.native.js' ) );
+var opts = {
+ 'skip': ( scovarmtk instanceof Error )
+};
+var options = {
+ 'dtype': 'float32'
+};
+
+
+// FUNCTIONS //
+
+/**
+* Creates a benchmark function.
+*
+* @private
+* @param {PositiveInteger} len - array length
+* @returns {Function} benchmark function
+*/
+function createBenchmark( len ) {
+ var x = uniform( len, -10.0, 10.0, options );
+ return benchmark;
+
+ function benchmark( b ) {
+ var v;
+ var i;
+
+ b.tic();
+ for ( i = 0; i < b.iterations; i++ ) {
+ v = scovarmtk( x.length, 1, 0.0, x, 1, 0, 0.0, x, 1, 0 );
+ if ( isnanf( v ) ) {
+ b.fail( 'should not return NaN' );
+ }
+ }
+ b.toc();
+ if ( isnanf( v ) ) {
+ b.fail( 'should not return NaN' );
+ }
+ b.pass( 'benchmark finished' );
+ b.end();
+ }
+}
+
+
+// MAIN //
+
+/**
+* Main execution sequence.
+*
+* @private
+*/
+function main() {
+ var len;
+ var min;
+ var max;
+ var f;
+ var i;
+
+ min = 1; // 10^min
+ max = 6; // 10^max
+
+ for ( i = min; i <= max; i++ ) {
+ len = pow( 10, i );
+ f = createBenchmark( len );
+ bench( pkg+'::native:ndarray:len='+len, opts, f );
+ }
+}
+
+main();
diff --git a/lib/node_modules/@stdlib/stats/strided/scovarmtk/benchmark/c/Makefile b/lib/node_modules/@stdlib/stats/strided/scovarmtk/benchmark/c/Makefile
new file mode 100644
index 000000000000..cce2c865d7ad
--- /dev/null
+++ b/lib/node_modules/@stdlib/stats/strided/scovarmtk/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.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
diff --git a/lib/node_modules/@stdlib/stats/strided/scovarmtk/benchmark/c/benchmark.length.c b/lib/node_modules/@stdlib/stats/strided/scovarmtk/benchmark/c/benchmark.length.c
new file mode 100644
index 000000000000..90430dccae37
--- /dev/null
+++ b/lib/node_modules/@stdlib/stats/strided/scovarmtk/benchmark/c/benchmark.length.c
@@ -0,0 +1,197 @@
+/**
+* @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.
+*/
+
+#include "stdlib/stats/strided/scovarmtk.h"
+#include
+#include
+#include
+#include
+#include
+
+#define NAME "scovarmtk"
+#define ITERATIONS 1000000
+#define REPEATS 3
+#define MIN 1
+#define MAX 6
+
+/**
+* Prints the TAP version.
+*/
+static void print_version( void ) {
+ printf( "TAP version 13\n" );
+}
+
+/**
+* Prints the TAP summary.
+*
+* @param total total number of tests
+* @param passing total number of passing tests
+*/
+static void print_summary( int total, int passing ) {
+ printf( "#\n" );
+ printf( "1..%d\n", total ); // TAP plan
+ printf( "# total %d\n", total );
+ printf( "# pass %d\n", passing );
+ printf( "#\n" );
+ printf( "# ok\n" );
+}
+
+/**
+* Prints benchmarks results.
+*
+* @param iterations number of iterations
+* @param elapsed elapsed time in seconds
+*/
+static void print_results( int iterations, double elapsed ) {
+ double rate = (double)iterations / elapsed;
+ printf( " ---\n" );
+ printf( " iterations: %d\n", iterations );
+ printf( " elapsed: %0.9f\n", elapsed );
+ printf( " rate: %0.9f\n", rate );
+ printf( " ...\n" );
+}
+
+/**
+* Returns a clock time.
+*
+* @return clock time
+*/
+static double tic( void ) {
+ struct timeval now;
+ gettimeofday( &now, NULL );
+ return (double)now.tv_sec + (double)now.tv_usec/1.0e6;
+}
+
+/**
+* Generates a random number on the interval [0,1).
+*
+* @return random number
+*/
+static float rand_float( void ) {
+ int r = rand();
+ return (float)r / ( (float)RAND_MAX + 1.0f );
+}
+
+/**
+* Runs a benchmark.
+*
+* @param iterations number of iterations
+* @param len array length
+* @return elapsed time in seconds
+*/
+static double benchmark1( int iterations, int len ) {
+ double elapsed;
+ float x[ len ];
+ double t;
+ float v;
+ int i;
+
+ for ( i = 0; i < len; i++ ) {
+ x[ i ] = ( rand_float()*20000.0f ) - 10000.0f;
+ }
+ v = 0.0f;
+ t = tic();
+ for ( i = 0; i < iterations; i++ ) {
+ // cppcheck-suppress uninitvar
+ v = stdlib_strided_scovarmtk( len, 1.0f, 0.0f, x, 1, 0.0f, x, 1 );
+ if ( v != v ) {
+ printf( "should not return NaN\n" );
+ break;
+ }
+ }
+ elapsed = tic() - t;
+ if ( v != v ) {
+ printf( "should not return NaN\n" );
+ }
+ return elapsed;
+}
+
+/**
+* Runs a benchmark.
+*
+* @param iterations number of iterations
+* @param len array length
+* @return elapsed time in seconds
+*/
+static double benchmark2( int iterations, int len ) {
+ double elapsed;
+ float x[ len ];
+ double t;
+ float v;
+ int i;
+
+ for ( i = 0; i < len; i++ ) {
+ x[ i ] = ( rand_float()*20000.0f ) - 10000.0f;
+ }
+ v = 0.0f;
+ t = tic();
+ for ( i = 0; i < iterations; i++ ) {
+ // cppcheck-suppress uninitvar
+ v = stdlib_strided_scovarmtk_ndarray( len, 1.0f, 0.0f, x, 1, 0, 0.0f, x, 1, 0 );
+ if ( v != v ) {
+ printf( "should not return NaN\n" );
+ break;
+ }
+ }
+ elapsed = tic() - t;
+ if ( v != v ) {
+ printf( "should not return NaN\n" );
+ }
+ return elapsed;
+}
+
+/**
+* Main execution sequence.
+*/
+int main( void ) {
+ double elapsed;
+ int count;
+ int iter;
+ int len;
+ int i;
+ int j;
+
+ // Use the current time to seed the random number generator:
+ srand( time( NULL ) );
+
+ print_version();
+ count = 0;
+ for ( i = MIN; i <= MAX; i++ ) {
+ len = pow( 10, i );
+ iter = ITERATIONS / pow( 10, i-1 );
+ for ( j = 0; j < REPEATS; j++ ) {
+ count += 1;
+ printf( "# c::%s:len=%d\n", NAME, len );
+ elapsed = benchmark1( iter, len );
+ print_results( iter, elapsed );
+ printf( "ok %d benchmark finished\n", count );
+ }
+ }
+ for ( i = MIN; i <= MAX; i++ ) {
+ len = pow( 10, i );
+ iter = ITERATIONS / pow( 10, i-1 );
+ for ( j = 0; j < REPEATS; j++ ) {
+ count += 1;
+ printf( "# c::%s:ndarray:len=%d\n", NAME, len );
+ elapsed = benchmark2( iter, len );
+ print_results( iter, elapsed );
+ printf( "ok %d benchmark finished\n", count );
+ }
+ }
+ print_summary( count, count );
+}
diff --git a/lib/node_modules/@stdlib/stats/strided/scovarmtk/binding.gyp b/lib/node_modules/@stdlib/stats/strided/scovarmtk/binding.gyp
new file mode 100644
index 000000000000..68a1ca11d160
--- /dev/null
+++ b/lib/node_modules/@stdlib/stats/strided/scovarmtk/binding.gyp
@@ -0,0 +1,170 @@
+# @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.
+
+# A `.gyp` file for building a Node.js native add-on.
+#
+# [1]: https://gyp.gsrc.io/docs/InputFormatReference.md
+# [2]: https://gyp.gsrc.io/docs/UserDocumentation.md
+{
+ # List of files to include in this file:
+ 'includes': [
+ './include.gypi',
+ ],
+
+ # Define variables to be used throughout the configuration for all targets:
+ 'variables': {
+ # Target name should match the add-on export name:
+ 'addon_target_name%': 'addon',
+
+ # Set variables based on the host OS:
+ 'conditions': [
+ [
+ 'OS=="win"',
+ {
+ # Define the object file suffix:
+ 'obj': 'obj',
+ },
+ {
+ # Define the object file suffix:
+ 'obj': 'o',
+ }
+ ], # end condition (OS=="win")
+ ], # end conditions
+ }, # end variables
+
+ # Define compile targets:
+ 'targets': [
+
+ # Target to generate an add-on:
+ {
+ # The target name should match the add-on export name:
+ 'target_name': '<(addon_target_name)',
+
+ # Define dependencies:
+ 'dependencies': [],
+
+ # Define directories which contain relevant include headers:
+ 'include_dirs': [
+ # Local include directory:
+ '<@(include_dirs)',
+ ],
+
+ # List of source files:
+ 'sources': [
+ '<@(src_files)',
+ ],
+
+ # Settings which should be applied when a target's object files are used as linker input:
+ 'link_settings': {
+ # Define libraries:
+ 'libraries': [
+ '<@(libraries)',
+ ],
+
+ # Define library directories:
+ 'library_dirs': [
+ '<@(library_dirs)',
+ ],
+ },
+
+ # C/C++ compiler flags:
+ 'cflags': [
+ # Enable commonly used warning options:
+ '-Wall',
+
+ # Aggressive optimization:
+ '-O3',
+ ],
+
+ # C specific compiler flags:
+ 'cflags_c': [
+ # Specify the C standard to which a program is expected to conform:
+ '-std=c99',
+ ],
+
+ # C++ specific compiler flags:
+ 'cflags_cpp': [
+ # Specify the C++ standard to which a program is expected to conform:
+ '-std=c++11',
+ ],
+
+ # Linker flags:
+ 'ldflags': [],
+
+ # Apply conditions based on the host OS:
+ 'conditions': [
+ [
+ 'OS=="mac"',
+ {
+ # Linker flags:
+ 'ldflags': [
+ '-undefined dynamic_lookup',
+ '-Wl,-no-pie',
+ '-Wl,-search_paths_first',
+ ],
+ },
+ ], # end condition (OS=="mac")
+ [
+ 'OS!="win"',
+ {
+ # C/C++ flags:
+ 'cflags': [
+ # Generate platform-independent code:
+ '-fPIC',
+ ],
+ },
+ ], # end condition (OS!="win")
+ ], # end conditions
+ }, # end target <(addon_target_name)
+
+ # Target to copy a generated add-on to a standard location:
+ {
+ 'target_name': 'copy_addon',
+
+ # Declare that the output of this target is not linked:
+ 'type': 'none',
+
+ # Define dependencies:
+ 'dependencies': [
+ # Require that the add-on be generated before building this target:
+ '<(addon_target_name)',
+ ],
+
+ # Define a list of actions:
+ 'actions': [
+ {
+ 'action_name': 'copy_addon',
+ 'message': 'Copying addon...',
+
+ # Explicitly list the inputs in the command-line invocation below:
+ 'inputs': [],
+
+ # Declare the expected outputs:
+ 'outputs': [
+ '<(addon_output_dir)/<(addon_target_name).node',
+ ],
+
+ # Define the command-line invocation:
+ 'action': [
+ 'cp',
+ '<(PRODUCT_DIR)/<(addon_target_name).node',
+ '<(addon_output_dir)/<(addon_target_name).node',
+ ],
+ },
+ ], # end actions
+ }, # end target copy_addon
+ ], # end targets
+}
diff --git a/lib/node_modules/@stdlib/stats/strided/scovarmtk/docs/repl.txt b/lib/node_modules/@stdlib/stats/strided/scovarmtk/docs/repl.txt
new file mode 100644
index 000000000000..d567f6c4c9d0
--- /dev/null
+++ b/lib/node_modules/@stdlib/stats/strided/scovarmtk/docs/repl.txt
@@ -0,0 +1,142 @@
+
+{{alias}}( N, correction, meanx, x, sx, meany, y, sy )
+ Computes the covariance of two single-precision floating-point strided
+ arrays provided known means and using a one-pass textbook algorithm.
+
+ The `N` and stride parameters determine which elements in the strided arrays
+ are accessed at runtime.
+
+ Indexing is relative to the first index. To introduce an offset, use a typed
+ array view.
+
+ If `N <= 0`, the function returns `NaN`.
+
+ Parameters
+ ----------
+ N: integer
+ Number of indexed elements.
+
+ correction: number
+ 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 covariance according to `N - c` where `c` corresponds to the
+ provided degrees of freedom adjustment. When computing the population
+ covariance, setting this parameter to `0` is the standard choice (i.e.,
+ the provided arrays contain data constituting entire populations). When
+ computing the unbiased sample covariance, setting this parameter to `1`
+ is the standard choice (i.e., the provided array contains data sampled
+ from larger populations; this is commonly referred to as Bessel's
+ correction).
+
+ meanx: number
+ Mean of `x`.
+
+ x: Float32Array
+ First input array.
+
+ sx: integer
+ Stride length of `x`.
+
+ meany: number
+ Mean of `y`.
+
+ y: Float32Array
+ Second input array.
+
+ sy: integer
+ Stride length of `y`.
+
+ Returns
+ -------
+ out: number
+ The covariance.
+
+ Examples
+ --------
+ // Standard Usage:
+ > var x = new {{alias:@stdlib/array/float32}}( [ 1.0, -2.0, 2.0 ] );
+ > {{alias}}( x.length, 1, 1.0/3.0, x, 1, 1.0/3.0, x, 1 )
+ ~4.3333
+
+ // Using `N` and stride parameters:
+ > x = new {{alias:@stdlib/array/float32}}( [ -2.0, 1.0, 1.0, -5.0, 2.0, -1.0 ] );
+ > {{alias}}( 3, 1, 1.0/3.0, x, 2, 1.0/3.0, x, 2 )
+ ~4.3333
+
+ // Using view offsets:
+ > var x0 = new {{alias:@stdlib/array/float32}}( [ 1.0, -2.0, 3.0, 2.0, 5.0, 1.0 ] );
+ > var x1 = new {{alias:@stdlib/array/float32}}( x0.buffer, x0.BYTES_PER_ELEMENT*1 );
+ > {{alias}}( 3, 1, 1.0/3.0, x1, 2, 1.0/3.0, x1, 2 )
+ ~4.3333
+
+
+{{alias}}.ndarray( N, correction, meanx, x, sx, ox, meany, y, sy, oy )
+ Computes the covariance of two single-precision floating-point strided
+ arrays provided known means and using a one-pass textbook algorithm and
+ alternative indexing semantics.
+
+ While typed array views mandate a view offset based on the underlying
+ buffer, offset parameters support indexing semantics based on starting
+ indices.
+
+ Parameters
+ ----------
+ N: integer
+ Number of indexed elements.
+
+ correction: number
+ 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 covariance according to `N - c` where `c` corresponds to the
+ provided degrees of freedom adjustment. When computing the population
+ covariance, setting this parameter to `0` is the standard choice (i.e.,
+ the provided arrays contain data constituting entire populations). When
+ computing the unbiased sample covariance, setting this parameter to
+ `1` is the standard choice (i.e., the provided arrays contain data
+ sampled from larger populations; this is commonly referred to as
+ Bessel's correction).
+
+ meanx: number
+ Mean of `x`.
+
+ x: Float32Array
+ First input array.
+
+ sx: integer
+ Stride length of `x`.
+
+ ox: integer
+ Starting index of `x`.
+
+ meany: number
+ Mean of `y`.
+
+ y: Float32Array
+ Second input array.
+
+ sy: integer
+ Stride length of `y`.
+
+ oy: integer
+ Starting index of `y`.
+
+ Returns
+ -------
+ out: number
+ The covariance.
+
+ Examples
+ --------
+ // Standard Usage:
+ > var x = new {{alias:@stdlib/array/float32}}( [ 1.0, -2.0, 2.0 ] );
+ > {{alias}}.ndarray( x.length, 1, 1.0/3.0, x, 1, 0, 1.0/3.0, x, 1, 0 )
+ ~4.3333
+
+ // Using offset parameters:
+ > var x = new {{alias:@stdlib/array/float32}}( [ 1.0, -2.0, 3.0, 2.0, 5.0, 1.0 ] );
+ > {{alias}}.ndarray( 3, 1, 1.0/3.0, x, 2, 1, 1.0/3.0, x, 2, 1 )
+ ~4.3333
+
+ See Also
+ --------
+
diff --git a/lib/node_modules/@stdlib/stats/strided/scovarmtk/docs/types/index.d.ts b/lib/node_modules/@stdlib/stats/strided/scovarmtk/docs/types/index.d.ts
new file mode 100644
index 000000000000..96a60ee3f731
--- /dev/null
+++ b/lib/node_modules/@stdlib/stats/strided/scovarmtk/docs/types/index.d.ts
@@ -0,0 +1,112 @@
+/*
+* @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.
+*/
+
+// TypeScript Version: 4.1
+
+/**
+* Interface describing `scovarmtk`.
+*/
+interface Routine {
+ /**
+ * Computes the covariance of two single-precision floating-point strided arrays provided known means and using a one-pass textbook algorithm.
+ *
+ * @param N - number of indexed elements
+ * @param correction - degrees of freedom adjustment
+ * @param meanx - mean of `x`
+ * @param x - first input array
+ * @param strideX - stride length of `x`
+ * @param meany - mean of `y`
+ * @param y - second input array
+ * @param strideY - stride length of `y`
+ * @returns covariance
+ *
+ * @example
+ * var Float32Array = require( '@stdlib/array/float32' );
+ *
+ * var x = new Float32Array( [ 1.0, -2.0, 2.0 ] );
+ * var y = new Float32Array( [ 2.0, -2.0, 1.0 ] );
+ *
+ * var v = scovarmtk( x.length, 1, 1.0/3.0, x, 1, 1.0/3.0, y, 1 );
+ * // returns ~3.8333
+ */
+ ( N: number, correction: number, meanx: number, x: Float32Array, strideX: number, meany: number, y: Float32Array, strideY: number ): number;
+
+ /**
+ * Computes the covariance of two single-precision floating-point strided arrays provided known means and using a one-pass textbook algorithm and alternative indexing semantics.
+ *
+ * @param N - number of indexed elements
+ * @param correction - degrees of freedom adjustment
+ * @param meanx - mean of `x`
+ * @param x - first input array
+ * @param strideX - stride length of `x`
+ * @param offsetX - starting index of `x`
+ * @param meany - mean of `y`
+ * @param y - second input array
+ * @param strideY - stride length of `y`
+ * @param offsetY - starting index of `y`
+ * @returns covariance
+ *
+ * @example
+ * var Float32Array = require( '@stdlib/array/float32' );
+ *
+ * var x = new Float32Array( [ 1.0, -2.0, 2.0 ] );
+ * var y = new Float32Array( [ 2.0, -2.0, 1.0 ] );
+ *
+ * var v = scovarmtk.ndarray( x.length, 1, 1.0/3.0, x, 1, 0, 1.0/3.0, y, 1, 0 );
+ * // returns ~3.8333
+ */
+ ndarray( N: number, correction: number, meanx: number, x: Float32Array, strideX: number, offsetX: number, meany: number, y: Float32Array, strideY: number, offsetY: number ): number;
+}
+
+/**
+* Computes the covariance of two single-precision floating-point strided arrays provided known means and using a one-pass textbook algorithm.
+*
+* @param N - number of indexed elements
+* @param correction - degrees of freedom adjustment
+* @param meanx - mean of `x`
+* @param x - first input array
+* @param strideX - stride length of `x`
+* @param meany - mean of `y`
+* @param y - second input array
+* @param strideY - stride length of `y`
+* @returns covariance
+*
+* @example
+* var Float32Array = require( '@stdlib/array/float32' );
+*
+* var x = new Float32Array( [ 1.0, -2.0, 2.0 ] );
+* var y = new Float32Array( [ 2.0, -2.0, 1.0 ] );
+*
+* var v = scovarmtk( x.length, 1, 1.0/3.0, x, 1, 1.0/3.0, y, 1 );
+* // returns ~3.8333
+*
+* @example
+* var Float32Array = require( '@stdlib/array/float32' );
+*
+* var x = new Float32Array( [ 1.0, -2.0, 2.0 ] );
+* var y = new Float32Array( [ 2.0, -2.0, 1.0 ] );
+*
+* var v = scovarmtk.ndarray( x.length, 1, 1.0/3.0, x, 1, 0, 1.0/3.0, y, 1, 0 );
+* // returns ~3.8333
+*/
+declare var scovarmtk: Routine;
+
+
+// EXPORTS //
+
+export = scovarmtk;
diff --git a/lib/node_modules/@stdlib/stats/strided/scovarmtk/docs/types/test.ts b/lib/node_modules/@stdlib/stats/strided/scovarmtk/docs/types/test.ts
new file mode 100644
index 000000000000..d2a294eb0202
--- /dev/null
+++ b/lib/node_modules/@stdlib/stats/strided/scovarmtk/docs/types/test.ts
@@ -0,0 +1,324 @@
+/*
+* @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.
+*/
+
+import scovarmtk = require( './index' );
+
+
+// TESTS //
+
+// The function returns a number...
+{
+ const x = new Float32Array( 10 );
+
+ scovarmtk( x.length, 1, 0.0, x, 1, 0.0, x, 1 ); // $ExpectType number
+}
+
+// The compiler throws an error if the function is provided a first argument which is not a number...
+{
+ const x = new Float32Array( 10 );
+
+ scovarmtk( '10', 1, 0.0, x, 1, 0.0, x, 1 ); // $ExpectError
+ scovarmtk( true, 1, 0.0, x, 1, 0.0, x, 1 ); // $ExpectError
+ scovarmtk( false, 1, 0.0, x, 1, 0.0, x, 1 ); // $ExpectError
+ scovarmtk( null, 1, 0.0, x, 1, 0.0, x, 1 ); // $ExpectError
+ scovarmtk( undefined, 1, 0.0, x, 1, 0.0, x, 1 ); // $ExpectError
+ scovarmtk( [], 1, 0.0, x, 1, 0.0, x, 1 ); // $ExpectError
+ scovarmtk( {}, 1, 0.0, x, 1, 0.0, x, 1 ); // $ExpectError
+ scovarmtk( ( x: number ): number => x, 1, 0.0, x, 1, 0.0, x, 1 ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided a second argument which is not a number...
+{
+ const x = new Float32Array( 10 );
+
+ scovarmtk( x.length, '10', 0.0, x, 1, 0.0, x, 1 ); // $ExpectError
+ scovarmtk( x.length, true, 0.0, x, 1, 0.0, x, 1 ); // $ExpectError
+ scovarmtk( x.length, false, 0.0, x, 1, 0.0, x, 1 ); // $ExpectError
+ scovarmtk( x.length, null, 0.0, x, 1, 0.0, x, 1 ); // $ExpectError
+ scovarmtk( x.length, undefined, 0.0, x, 1, 0.0, x, 1 ); // $ExpectError
+ scovarmtk( x.length, [], 0.0, x, 1, 0.0, x, 1 ); // $ExpectError
+ scovarmtk( x.length, {}, 0.0, x, 1, 0.0, x, 1 ); // $ExpectError
+ scovarmtk( x.length, ( x: number ): number => x, 0.0, x, 1, 0.0, x, 1 ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided a third argument which is not a number...
+{
+ const x = new Float32Array( 10 );
+
+ scovarmtk( x.length, 1, '10', x, 1, 0.0, x, 1 ); // $ExpectError
+ scovarmtk( x.length, 1, true, x, 1, 0.0, x, 1 ); // $ExpectError
+ scovarmtk( x.length, 1, false, x, 1, 0.0, x, 1 ); // $ExpectError
+ scovarmtk( x.length, 1, null, x, 1, 0.0, x, 1 ); // $ExpectError
+ scovarmtk( x.length, 1, undefined, x, 1, 0.0, x, 1 ); // $ExpectError
+ scovarmtk( x.length, 1, [], x, 1, 0.0, x, 1 ); // $ExpectError
+ scovarmtk( x.length, 1, {}, x, 1, 0.0, x, 1 ); // $ExpectError
+ scovarmtk( x.length, 1, ( x: number ): number => x, x, 1, 0.0, x, 1 ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided a fourth argument which is not a Float32Array...
+{
+ const x = new Float32Array( 10 );
+
+ scovarmtk( x.length, 1, 0.0, 10, 1, 0.0, x, 1 ); // $ExpectError
+ scovarmtk( x.length, 1, 0.0, '10', 1, 0.0, x, 1 ); // $ExpectError
+ scovarmtk( x.length, 1, 0.0, true, 1, 0.0, x, 1 ); // $ExpectError
+ scovarmtk( x.length, 1, 0.0, false, 1, 0.0, x, 1 ); // $ExpectError
+ scovarmtk( x.length, 1, 0.0, null, 1, 0.0, x, 1 ); // $ExpectError
+ scovarmtk( x.length, 1, 0.0, undefined, 1, 0.0, x, 1 ); // $ExpectError
+ scovarmtk( x.length, 1, 0.0, [ '1' ], 1, 0.0, x, 1 ); // $ExpectError
+ scovarmtk( x.length, 1, 0.0, {}, 1, 0.0, x, 1 ); // $ExpectError
+ scovarmtk( x.length, 1, 0.0, ( x: number ): number => x, 1, 0.0, x, 1 ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided a fifth argument which is not a number...
+{
+ const x = new Float32Array( 10 );
+
+ scovarmtk( x.length, 1, 0.0, x, '10', 0.0, x, 1 ); // $ExpectError
+ scovarmtk( x.length, 1, 0.0, x, true, 0.0, x, 1 ); // $ExpectError
+ scovarmtk( x.length, 1, 0.0, x, false, 0.0, x, 1 ); // $ExpectError
+ scovarmtk( x.length, 1, 0.0, x, null, 0.0, x, 1 ); // $ExpectError
+ scovarmtk( x.length, 1, 0.0, x, undefined, 0.0, x, 1 ); // $ExpectError
+ scovarmtk( x.length, 1, 0.0, x, [], 0.0, x, 1 ); // $ExpectError
+ scovarmtk( x.length, 1, 0.0, x, {}, 0.0, x, 1 ); // $ExpectError
+ scovarmtk( x.length, 1, 0.0, x, ( x: number ): number => x, 0.0, x, 1 ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided a sixth argument which is not a number...
+{
+ const x = new Float32Array( 10 );
+
+ scovarmtk( x.length, 1, 0.0, x, 1, '10', x, 1 ); // $ExpectError
+ scovarmtk( x.length, 1, 0.0, x, 1, true, x, 1 ); // $ExpectError
+ scovarmtk( x.length, 1, 0.0, x, 1, false, x, 1 ); // $ExpectError
+ scovarmtk( x.length, 1, 0.0, x, 1, null, x, 1 ); // $ExpectError
+ scovarmtk( x.length, 1, 0.0, x, 1, undefined, x, 1 ); // $ExpectError
+ scovarmtk( x.length, 1, 0.0, x, 1, [], x, 1 ); // $ExpectError
+ scovarmtk( x.length, 1, 0.0, x, 1, {}, x, 1 ); // $ExpectError
+ scovarmtk( x.length, 1, 0.0, x, 1, ( x: number ): number => x, x, 1 ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided a seventh argument which is not a Float32Array...
+{
+ const x = new Float32Array( 10 );
+
+ scovarmtk( x.length, 1, 0.0, x, 1, 0.0, 10, 1 ); // $ExpectError
+ scovarmtk( x.length, 1, 0.0, x, 1, 0.0, '10', 1 ); // $ExpectError
+ scovarmtk( x.length, 1, 0.0, x, 1, 0.0, true, 1 ); // $ExpectError
+ scovarmtk( x.length, 1, 0.0, x, 1, 0.0, false, 1 ); // $ExpectError
+ scovarmtk( x.length, 1, 0.0, x, 1, 0.0, null, 1 ); // $ExpectError
+ scovarmtk( x.length, 1, 0.0, x, 1, 0.0, undefined, 1 ); // $ExpectError
+ scovarmtk( x.length, 1, 0.0, x, 1, 0.0, [ '1' ], 1 ); // $ExpectError
+ scovarmtk( x.length, 1, 0.0, x, 1, 0.0, {}, 1 ); // $ExpectError
+ scovarmtk( x.length, 1, 0.0, x, 1, 0.0, ( x: number ): number => x, 1 ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided an eighth argument which is not a number...
+{
+ const x = new Float32Array( 10 );
+
+ scovarmtk( x.length, 1, 0.0, x, 1, 0.0, x, '10' ); // $ExpectError
+ scovarmtk( x.length, 1, 0.0, x, 1, 0.0, x, true ); // $ExpectError
+ scovarmtk( x.length, 1, 0.0, x, 1, 0.0, x, false ); // $ExpectError
+ scovarmtk( x.length, 1, 0.0, x, 1, 0.0, x, null ); // $ExpectError
+ scovarmtk( x.length, 1, 0.0, x, 1, 0.0, x, undefined ); // $ExpectError
+ scovarmtk( x.length, 1, 0.0, x, 1, 0.0, x, [] ); // $ExpectError
+ scovarmtk( x.length, 1, 0.0, x, 1, 0.0, x, {} ); // $ExpectError
+ scovarmtk( x.length, 1, 0.0, x, 1, 0.0, x, ( x: number ): number => x ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided an unsupported number of arguments...
+{
+ const x = new Float32Array( 10 );
+
+ scovarmtk(); // $ExpectError
+ scovarmtk( x.length ); // $ExpectError
+ scovarmtk( x.length, 1 ); // $ExpectError
+ scovarmtk( x.length, 1, 0.0 ); // $ExpectError
+ scovarmtk( x.length, 1, 0.0, x ); // $ExpectError
+ scovarmtk( x.length, 1, 0.0, x, 1 ); // $ExpectError
+ scovarmtk( x.length, 1, 0.0, x, 1, 0.0 ); // $ExpectError
+ scovarmtk( x.length, 1, 0.0, x, 1, 0.0, x ); // $ExpectError
+ scovarmtk( x.length, 1, 0.0, x, 1, 0.0, x, 1, 0 ); // $ExpectError
+}
+
+// Attached to main export is an `ndarray` method which returns a number...
+{
+ const x = new Float32Array( 10 );
+
+ scovarmtk.ndarray( x.length, 1, 0.0, x, 1, 0, 0.0, x, 1, 0 ); // $ExpectType number
+}
+
+// The compiler throws an error if the `ndarray` method is provided a first argument which is not a number...
+{
+ const x = new Float32Array( 10 );
+
+ scovarmtk.ndarray( '10', 1, 0.0, x, 1, 0, 0.0, x, 1, 0 ); // $ExpectError
+ scovarmtk.ndarray( true, 1, 0.0, x, 1, 0, 0.0, x, 1, 0 ); // $ExpectError
+ scovarmtk.ndarray( false, 1, 0.0, x, 1, 0, 0.0, x, 1, 0 ); // $ExpectError
+ scovarmtk.ndarray( null, 1, 0.0, x, 1, 0, 0.0, x, 1, 0 ); // $ExpectError
+ scovarmtk.ndarray( undefined, 1, 0.0, x, 1, 0, 0.0, x, 1, 0 ); // $ExpectError
+ scovarmtk.ndarray( [], 1, 0.0, x, 1, 0, 0.0, x, 1, 0 ); // $ExpectError
+ scovarmtk.ndarray( {}, 1, 0.0, x, 1, 0, 0.0, x, 1, 0 ); // $ExpectError
+ scovarmtk.ndarray( ( x: number ): number => x, 1, 0.0, x, 1, 0, 0.0, x, 1, 0 ); // $ExpectError
+}
+
+// The compiler throws an error if the `ndarray` method is provided a second argument which is not a number...
+{
+ const x = new Float32Array( 10 );
+
+ scovarmtk.ndarray( x.length, '10', 0.0, x, 1, 0, 0.0, x, 1, 0 ); // $ExpectError
+ scovarmtk.ndarray( x.length, true, 0.0, x, 1, 0, 0.0, x, 1, 0 ); // $ExpectError
+ scovarmtk.ndarray( x.length, false, 0.0, x, 1, 0, 0.0, x, 1, 0 ); // $ExpectError
+ scovarmtk.ndarray( x.length, null, 0.0, x, 1, 0, 0.0, x, 1, 0 ); // $ExpectError
+ scovarmtk.ndarray( x.length, undefined, 0.0, x, 1, 0, 0.0, x, 1, 0 ); // $ExpectError
+ scovarmtk.ndarray( x.length, [], 0.0, x, 1, 0, 0.0, x, 1, 0 ); // $ExpectError
+ scovarmtk.ndarray( x.length, {}, 0.0, x, 1, 0, 0.0, x, 1, 0 ); // $ExpectError
+ scovarmtk.ndarray( x.length, ( x: number ): number => x, 0.0, x, 1, 0, 0.0, x, 1, 0 ); // $ExpectError
+}
+
+// The compiler throws an error if the `ndarray` method is provided a third argument which is not a number...
+{
+ const x = new Float32Array( 10 );
+
+ scovarmtk.ndarray( x.length, 1, '10', x, 1, 0, 0.0, x, 1, 0 ); // $ExpectError
+ scovarmtk.ndarray( x.length, 1, true, x, 1, 0, 0.0, x, 1, 0 ); // $ExpectError
+ scovarmtk.ndarray( x.length, 1, false, x, 1, 0, 0.0, x, 1, 0 ); // $ExpectError
+ scovarmtk.ndarray( x.length, 1, null, x, 1, 0, 0.0, x, 1, 0 ); // $ExpectError
+ scovarmtk.ndarray( x.length, 1, undefined, x, 1, 0, 0.0, x, 1, 0 ); // $ExpectError
+ scovarmtk.ndarray( x.length, 1, [], x, 1, 0, 0.0, x, 1, 0 ); // $ExpectError
+ scovarmtk.ndarray( x.length, 1, {}, x, 1, 0, 0.0, x, 1, 0 ); // $ExpectError
+ scovarmtk.ndarray( x.length, 1, ( x: number ): number => x, x, 1, 0, 0.0, x, 1, 0 ); // $ExpectError
+}
+
+// The compiler throws an error if the `ndarray` method is provided a fourth argument which is not a Float32Array...
+{
+ const x = new Float32Array( 10 );
+
+ scovarmtk.ndarray( x.length, 1, 0.0, 10, 1, 0, 0.0, x, 1, 0 ); // $ExpectError
+ scovarmtk.ndarray( x.length, 1, 0.0, '10', 1, 0, 0.0, x, 1, 0 ); // $ExpectError
+ scovarmtk.ndarray( x.length, 1, 0.0, true, 1, 0, 0.0, x, 1, 0 ); // $ExpectError
+ scovarmtk.ndarray( x.length, 1, 0.0, false, 1, 0, 0.0, x, 1, 0 ); // $ExpectError
+ scovarmtk.ndarray( x.length, 1, 0.0, null, 1, 0, 0.0, x, 1, 0 ); // $ExpectError
+ scovarmtk.ndarray( x.length, 1, 0.0, undefined, 1, 0, 0.0, x, 1, 0 ); // $ExpectError
+ scovarmtk.ndarray( x.length, 1, 0.0, [ '1' ], 1, 0, 0.0, x, 1, 0 ); // $ExpectError
+ scovarmtk.ndarray( x.length, 1, 0.0, {}, 1, 0, 0.0, x, 1, 0 ); // $ExpectError
+ scovarmtk.ndarray( x.length, 1, 0.0, ( x: number ): number => x, 1, 0, 0.0, x, 1, 0 ); // $ExpectError
+}
+
+// The compiler throws an error if the `ndarray` method is provided a fifth argument which is not a number...
+{
+ const x = new Float32Array( 10 );
+
+ scovarmtk.ndarray( x.length, 1, 0.0, x, '10', 0, 0.0, x, 1, 0 ); // $ExpectError
+ scovarmtk.ndarray( x.length, 1, 0.0, x, true, 0, 0.0, x, 1, 0 ); // $ExpectError
+ scovarmtk.ndarray( x.length, 1, 0.0, x, false, 0, 0.0, x, 1, 0 ); // $ExpectError
+ scovarmtk.ndarray( x.length, 1, 0.0, x, null, 0, 0.0, x, 1, 0 ); // $ExpectError
+ scovarmtk.ndarray( x.length, 1, 0.0, x, undefined, 0, 0.0, x, 1, 0 ); // $ExpectError
+ scovarmtk.ndarray( x.length, 1, 0.0, x, [], 0, 0.0, x, 1, 0 ); // $ExpectError
+ scovarmtk.ndarray( x.length, 1, 0.0, x, {}, 0, 0.0, x, 1, 0 ); // $ExpectError
+ scovarmtk.ndarray( x.length, 1, 0.0, x, ( x: number ): number => x, 0, 0.0, x, 1, 0 ); // $ExpectError
+}
+
+// The compiler throws an error if the `ndarray` method is provided a sixth argument which is not a number...
+{
+ const x = new Float32Array( 10 );
+
+ scovarmtk.ndarray( x.length, 1, 0.0, x, 1, '10', 0.0, x, 1, 0 ); // $ExpectError
+ scovarmtk.ndarray( x.length, 1, 0.0, x, 1, true, 0.0, x, 1, 0 ); // $ExpectError
+ scovarmtk.ndarray( x.length, 1, 0.0, x, 1, false, 0.0, x, 1, 0 ); // $ExpectError
+ scovarmtk.ndarray( x.length, 1, 0.0, x, 1, null, 0.0, x, 1, 0 ); // $ExpectError
+ scovarmtk.ndarray( x.length, 1, 0.0, x, 1, undefined, 0.0, x, 1, 0 ); // $ExpectError
+ scovarmtk.ndarray( x.length, 1, 0.0, x, 1, [], 0.0, x, 1, 0 ); // $ExpectError
+ scovarmtk.ndarray( x.length, 1, 0.0, x, 1, {}, 0.0, x, 1, 0 ); // $ExpectError
+ scovarmtk.ndarray( x.length, 1, 0.0, x, 1, ( x: number ): number => x, 0.0, x, 1, 0 ); // $ExpectError
+}
+
+// The compiler throws an error if the `ndarray` method is provided a seventh argument which is not a number...
+{
+ const x = new Float32Array( 10 );
+
+ scovarmtk.ndarray( x.length, 1, 0.0, x, 1, 0, '10', x, 1, 0 ); // $ExpectError
+ scovarmtk.ndarray( x.length, 1, 0.0, x, 1, 0, true, x, 1, 0 ); // $ExpectError
+ scovarmtk.ndarray( x.length, 1, 0.0, x, 1, 0, false, x, 1, 0 ); // $ExpectError
+ scovarmtk.ndarray( x.length, 1, 0.0, x, 1, 0, null, x, 1, 0 ); // $ExpectError
+ scovarmtk.ndarray( x.length, 1, 0.0, x, 1, 0, undefined, x, 1, 0 ); // $ExpectError
+ scovarmtk.ndarray( x.length, 1, 0.0, x, 1, 0, [], x, 1, 0 ); // $ExpectError
+ scovarmtk.ndarray( x.length, 1, 0.0, x, 1, 0, {}, x, 1, 0 ); // $ExpectError
+ scovarmtk.ndarray( x.length, 1, 0.0, x, 1, 0, ( x: number ): number => x, x, 1, 0 ); // $ExpectError
+}
+
+// The compiler throws an error if the `ndarray` method is provided an eighth argument which is not a Float32Array...
+{
+ const x = new Float32Array( 10 );
+
+ scovarmtk.ndarray( x.length, 1, 0.0, x, 1, 0, 0.0, 10, 1, 0 ); // $ExpectError
+ scovarmtk.ndarray( x.length, 1, 0.0, x, 1, 0, 0.0, '10', 1, 0 ); // $ExpectError
+ scovarmtk.ndarray( x.length, 1, 0.0, x, 1, 0, 0.0, true, 1, 0 ); // $ExpectError
+ scovarmtk.ndarray( x.length, 1, 0.0, x, 1, 0, 0.0, false, 1, 0 ); // $ExpectError
+ scovarmtk.ndarray( x.length, 1, 0.0, x, 1, 0, 0.0, null, 1, 0 ); // $ExpectError
+ scovarmtk.ndarray( x.length, 1, 0.0, x, 1, 0, 0.0, undefined, 1, 0 ); // $ExpectError
+ scovarmtk.ndarray( x.length, 1, 0.0, x, 1, 0, 0.0, [ '1' ], 1, 0 ); // $ExpectError
+ scovarmtk.ndarray( x.length, 1, 0.0, x, 1, 0, 0.0, {}, 1, 0 ); // $ExpectError
+ scovarmtk.ndarray( x.length, 1, 0.0, x, 1, 0, 0.0, ( x: number ): number => x, 1, 0 ); // $ExpectError
+}
+
+// The compiler throws an error if the `ndarray` method is provided a ninth argument which is not a number...
+{
+ const x = new Float32Array( 10 );
+
+ scovarmtk.ndarray( x.length, 1, 0.0, x, 1, 0, 0.0, x, '10', 0 ); // $ExpectError
+ scovarmtk.ndarray( x.length, 1, 0.0, x, 1, 0, 0.0, x, true, 0 ); // $ExpectError
+ scovarmtk.ndarray( x.length, 1, 0.0, x, 1, 0, 0.0, x, false, 0 ); // $ExpectError
+ scovarmtk.ndarray( x.length, 1, 0.0, x, 1, 0, 0.0, x, null, 0 ); // $ExpectError
+ scovarmtk.ndarray( x.length, 1, 0.0, x, 1, 0, 0.0, x, undefined, 0 ); // $ExpectError
+ scovarmtk.ndarray( x.length, 1, 0.0, x, 1, 0, 0.0, x, [], 0 ); // $ExpectError
+ scovarmtk.ndarray( x.length, 1, 0.0, x, 1, 0, 0.0, x, {}, 0 ); // $ExpectError
+ scovarmtk.ndarray( x.length, 1, 0.0, x, 1, 0, 0.0, x, ( x: number ): number => x, 0 ); // $ExpectError
+}
+
+// The compiler throws an error if the `ndarray` method is provided a tenth argument which is not a number...
+{
+ const x = new Float32Array( 10 );
+
+ scovarmtk.ndarray( x.length, 1, 0.0, x, 1, 0, 0.0, x, 1, '10' ); // $ExpectError
+ scovarmtk.ndarray( x.length, 1, 0.0, x, 1, 0, 0.0, x, 1, true ); // $ExpectError
+ scovarmtk.ndarray( x.length, 1, 0.0, x, 1, 0, 0.0, x, 1, false ); // $ExpectError
+ scovarmtk.ndarray( x.length, 1, 0.0, x, 1, 0, 0.0, x, 1, null ); // $ExpectError
+ scovarmtk.ndarray( x.length, 1, 0.0, x, 1, 0, 0.0, x, 1, undefined ); // $ExpectError
+ scovarmtk.ndarray( x.length, 1, 0.0, x, 1, 0, 0.0, x, 1, [] ); // $ExpectError
+ scovarmtk.ndarray( x.length, 1, 0.0, x, 1, 0, 0.0, x, 1, {} ); // $ExpectError
+ scovarmtk.ndarray( x.length, 1, 0.0, x, 1, 0, 0.0, x, 1, ( x: number ): number => x ); // $ExpectError
+}
+
+// The compiler throws an error if the `ndarray` method is provided an unsupported number of arguments...
+{
+ const x = new Float32Array( 10 );
+
+ scovarmtk.ndarray(); // $ExpectError
+ scovarmtk.ndarray( x.length ); // $ExpectError
+ scovarmtk.ndarray( x.length, 1 ); // $ExpectError
+ scovarmtk.ndarray( x.length, 1, 0.0 ); // $ExpectError
+ scovarmtk.ndarray( x.length, 1, 0.0, x ); // $ExpectError
+ scovarmtk.ndarray( x.length, 1, 0.0, x, 1 ); // $ExpectError
+ scovarmtk.ndarray( x.length, 1, 0.0, x, 1, 0 ); // $ExpectError
+ scovarmtk.ndarray( x.length, 1, 0.0, x, 1, 0, 0.0 ); // $ExpectError
+ scovarmtk.ndarray( x.length, 1, 0.0, x, 1, 0, 0.0, x ); // $ExpectError
+ scovarmtk.ndarray( x.length, 1, 0.0, x, 1, 0, 0.0, x, 1 ); // $ExpectError
+ scovarmtk.ndarray( x.length, 1, 0.0, x, 1, 0, 0.0, x, 1, 0, 0 ); // $ExpectError
+}
diff --git a/lib/node_modules/@stdlib/stats/strided/scovarmtk/examples/c/Makefile b/lib/node_modules/@stdlib/stats/strided/scovarmtk/examples/c/Makefile
new file mode 100644
index 000000000000..25ced822f96a
--- /dev/null
+++ b/lib/node_modules/@stdlib/stats/strided/scovarmtk/examples/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 := example.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 examples.
+#
+# @example
+# make run
+#/
+run: $(c_targets)
+ $(QUIET) ./$<
+
+.PHONY: run
+
+#/
+# Removes generated files.
+#
+# @example
+# make clean
+#/
+clean:
+ $(QUIET) -rm -f *.o *.out
+
+.PHONY: clean
diff --git a/lib/node_modules/@stdlib/stats/strided/scovarmtk/examples/c/example.c b/lib/node_modules/@stdlib/stats/strided/scovarmtk/examples/c/example.c
new file mode 100644
index 000000000000..69119698306c
--- /dev/null
+++ b/lib/node_modules/@stdlib/stats/strided/scovarmtk/examples/c/example.c
@@ -0,0 +1,37 @@
+/**
+* @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.
+*/
+
+#include "stdlib/stats/strided/scovarmtk.h"
+#include
+
+int main( void ) {
+ // Create a strided array:
+ const float x[] = { 1.0f, 2.0f, 3.0f, 4.0f, 5.0f, 6.0f, 7.0f, 8.0f };
+
+ // Specify the number of elements:
+ const int N = 4;
+
+ // Specify the stride length:
+ const int strideX = 2;
+
+ // Compute the covariance of `x` with itself:
+ float v = stdlib_strided_scovarmtk( N, 1.0f, 4.5f, x, strideX, 4.5f, x, -strideX );
+
+ // Print the result:
+ printf( "covariance: %f\n", v );
+}
diff --git a/lib/node_modules/@stdlib/stats/strided/scovarmtk/examples/index.js b/lib/node_modules/@stdlib/stats/strided/scovarmtk/examples/index.js
new file mode 100644
index 000000000000..c8f7acb0e7e4
--- /dev/null
+++ b/lib/node_modules/@stdlib/stats/strided/scovarmtk/examples/index.js
@@ -0,0 +1,34 @@
+/**
+* @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.
+*/
+
+'use strict';
+
+var discreteUniform = require( '@stdlib/random/array/discrete-uniform' );
+var scovarmtk = require( './../lib' );
+
+var opts = {
+ 'dtype': 'float32'
+};
+var x = discreteUniform( 10, -50, 50, opts );
+console.log( x );
+
+var y = discreteUniform( 10, -50, 50, opts );
+console.log( y );
+
+var v = scovarmtk( x.length, 1, 0.0, x, 1, 0.0, y, 1 );
+console.log( v );
diff --git a/lib/node_modules/@stdlib/stats/strided/scovarmtk/include.gypi b/lib/node_modules/@stdlib/stats/strided/scovarmtk/include.gypi
new file mode 100644
index 000000000000..ecfaf82a3279
--- /dev/null
+++ b/lib/node_modules/@stdlib/stats/strided/scovarmtk/include.gypi
@@ -0,0 +1,53 @@
+# @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.
+
+# A GYP include file for building a Node.js native add-on.
+#
+# Main documentation:
+#
+# [1]: https://gyp.gsrc.io/docs/InputFormatReference.md
+# [2]: https://gyp.gsrc.io/docs/UserDocumentation.md
+{
+ # Define variables to be used throughout the configuration for all targets:
+ 'variables': {
+ # Source directory:
+ 'src_dir': './src',
+
+ # Include directories:
+ 'include_dirs': [
+ '=0.10.0",
+ "npm": ">2.7.0"
+ },
+ "os": [
+ "aix",
+ "darwin",
+ "freebsd",
+ "linux",
+ "macos",
+ "openbsd",
+ "sunos",
+ "win32",
+ "windows"
+ ],
+ "keywords": [
+ "stdlib",
+ "stdmath",
+ "statistics",
+ "stats",
+ "mathematics",
+ "math",
+ "covariance",
+ "covar",
+ "sample covariance",
+ "unbiased",
+ "correlation",
+ "variance",
+ "strided",
+ "strided array",
+ "typed",
+ "array",
+ "float32",
+ "float",
+ "float32array"
+ ],
+ "__stdlib__": {}
+}
diff --git a/lib/node_modules/@stdlib/stats/strided/scovarmtk/src/Makefile b/lib/node_modules/@stdlib/stats/strided/scovarmtk/src/Makefile
new file mode 100644
index 000000000000..7733b6180cb4
--- /dev/null
+++ b/lib/node_modules/@stdlib/stats/strided/scovarmtk/src/Makefile
@@ -0,0 +1,70 @@
+#/
+# @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
+
+
+# RULES #
+
+#/
+# Removes generated files for building an add-on.
+#
+# @example
+# make clean-addon
+#/
+clean-addon:
+ $(QUIET) -rm -f *.o *.node
+
+.PHONY: clean-addon
+
+#/
+# Removes generated files.
+#
+# @example
+# make clean
+#/
+clean: clean-addon
+
+.PHONY: clean
diff --git a/lib/node_modules/@stdlib/stats/strided/scovarmtk/src/addon.c b/lib/node_modules/@stdlib/stats/strided/scovarmtk/src/addon.c
new file mode 100644
index 000000000000..d86d6bd23079
--- /dev/null
+++ b/lib/node_modules/@stdlib/stats/strided/scovarmtk/src/addon.c
@@ -0,0 +1,73 @@
+/**
+* @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.
+*/
+
+#include "stdlib/stats/strided/scovarmtk.h"
+#include "stdlib/blas/base/shared.h"
+#include "stdlib/napi/export.h"
+#include "stdlib/napi/argv.h"
+#include "stdlib/napi/argv_int64.h"
+#include "stdlib/napi/argv_strided_float32array.h"
+#include "stdlib/napi/create_double.h"
+#include "stdlib/napi/argv_float.h"
+#include
+
+/**
+* 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( napi_env env, napi_callback_info info ) {
+ STDLIB_NAPI_ARGV( env, info, argv, argc, 8 );
+ STDLIB_NAPI_ARGV_INT64( env, N, argv, 0 );
+ STDLIB_NAPI_ARGV_FLOAT( env, correction, argv, 1 );
+ STDLIB_NAPI_ARGV_FLOAT( env, meanx, argv, 2 );
+ STDLIB_NAPI_ARGV_FLOAT( env, meany, argv, 5 );
+ STDLIB_NAPI_ARGV_INT64( env, strideX, argv, 4 );
+ STDLIB_NAPI_ARGV_INT64( env, strideY, argv, 7 );
+ STDLIB_NAPI_ARGV_STRIDED_FLOAT32ARRAY( env, X, N, strideX, argv, 3 );
+ STDLIB_NAPI_ARGV_STRIDED_FLOAT32ARRAY( env, Y, N, strideY, argv, 6 );
+ STDLIB_NAPI_CREATE_DOUBLE( env, (double)API_SUFFIX(stdlib_strided_scovarmtk)( N, correction, meanx, X, strideX, meany, Y, strideY ), v );
+ return v;
+}
+
+/**
+* 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, 10 );
+ STDLIB_NAPI_ARGV_INT64( env, N, argv, 0 );
+ STDLIB_NAPI_ARGV_FLOAT( env, correction, argv, 1 );
+ STDLIB_NAPI_ARGV_FLOAT( env, meanx, argv, 2 );
+ STDLIB_NAPI_ARGV_FLOAT( env, meany, argv, 6 );
+ STDLIB_NAPI_ARGV_INT64( env, strideX, argv, 4 );
+ STDLIB_NAPI_ARGV_INT64( env, strideY, argv, 8 );
+ STDLIB_NAPI_ARGV_INT64( env, offsetX, argv, 5 );
+ STDLIB_NAPI_ARGV_INT64( env, offsetY, argv, 9 );
+ STDLIB_NAPI_ARGV_STRIDED_FLOAT32ARRAY( env, X, N, strideX, argv, 3 );
+ STDLIB_NAPI_ARGV_STRIDED_FLOAT32ARRAY( env, Y, N, strideY, argv, 7 );
+ STDLIB_NAPI_CREATE_DOUBLE( env, (double)API_SUFFIX(stdlib_strided_scovarmtk_ndarray)( N, correction, meanx, X, strideX, offsetX, meany, Y, strideY, offsetY ), v );
+ return v;
+}
+
+STDLIB_NAPI_MODULE_EXPORT_FCN_WITH_METHOD( addon, "ndarray", addon_method )
diff --git a/lib/node_modules/@stdlib/stats/strided/scovarmtk/src/main.c b/lib/node_modules/@stdlib/stats/strided/scovarmtk/src/main.c
new file mode 100644
index 000000000000..381e3f62ff5a
--- /dev/null
+++ b/lib/node_modules/@stdlib/stats/strided/scovarmtk/src/main.c
@@ -0,0 +1,77 @@
+/**
+* @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.
+*/
+
+#include "stdlib/stats/strided/scovarmtk.h"
+#include "stdlib/blas/base/shared.h"
+#include "stdlib/strided/base/stride2offset.h"
+
+/**
+* Computes the covariance of two single-precision floating-point strided arrays provided known means and using a one-pass textbook algorithm.
+*
+* @param N number of indexed elements
+* @param correction degrees of freedom adjustment
+* @param meanx mean of `X`
+* @param X first input array
+* @param strideX stride length of `X`
+* @param meany mean of `Y`
+* @param Y second input array
+* @param strideY stride length of `Y`
+* @return output value
+*/
+float API_SUFFIX(stdlib_strided_scovarmtk)( const CBLAS_INT N, const float correction, const float meanx, const float *X, const CBLAS_INT strideX, const float meany, const float *Y, const CBLAS_INT strideY ) {
+ const CBLAS_INT ox = stdlib_strided_stride2offset( N, strideX );
+ const CBLAS_INT oy = stdlib_strided_stride2offset( N, strideY );
+ return API_SUFFIX(stdlib_strided_scovarmtk_ndarray)( N, correction, meanx, X, strideX, ox, meany, Y, strideY, oy );
+}
+
+/**
+* Computes the covariance of two single-precision floating-point strided arrays provided known means and using a one-pass textbook algorithm and alternative indexing semantics.
+*
+* @param N number of indexed elements
+* @param correction degrees of freedom adjustment
+* @param meanx mean of `X`
+* @param X first input array
+* @param strideX stride length of `X`
+* @param offsetX starting index for X
+* @param meany mean of `Y`
+* @param Y second input array
+* @param strideY stride length of `Y`
+* @param offsetY starting index for Y
+* @return output value
+*/
+float API_SUFFIX(stdlib_strided_scovarmtk_ndarray)( const CBLAS_INT N, const float correction, const float meanx, const float *X, const CBLAS_INT strideX, const CBLAS_INT offsetX, const float meany, const float *Y, const CBLAS_INT strideY, const CBLAS_INT offsetY ) {
+ CBLAS_INT ix;
+ CBLAS_INT iy;
+ CBLAS_INT i;
+ float C;
+ float n;
+
+ n = (float)N - correction;
+ if ( N <= 0 || n <= 0.0f ) {
+ return 0.0f / 0.0f; // NaN
+ }
+ ix = offsetX;
+ iy = offsetY;
+ C = 0.0f;
+ for ( i = 0; i < N; i++ ) {
+ C += ( X[ ix ] - meanx ) * ( Y[ iy ] - meany );
+ ix += strideX;
+ iy += strideY;
+ }
+ return C / n;
+}
diff --git a/lib/node_modules/@stdlib/stats/strided/scovarmtk/test/test.js b/lib/node_modules/@stdlib/stats/strided/scovarmtk/test/test.js
new file mode 100644
index 000000000000..3aa5d47bb870
--- /dev/null
+++ b/lib/node_modules/@stdlib/stats/strided/scovarmtk/test/test.js
@@ -0,0 +1,82 @@
+/**
+* @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.
+*/
+
+'use strict';
+
+// MODULES //
+
+var tape = require( 'tape' );
+var proxyquire = require( 'proxyquire' );
+var IS_BROWSER = require( '@stdlib/assert/is-browser' );
+var scovarmtk = require( './../lib' );
+
+
+// VARIABLES //
+
+var opts = {
+ 'skip': IS_BROWSER
+};
+
+
+// TESTS //
+
+tape( 'main export is a function', function test( t ) {
+ t.ok( true, __filename );
+ t.strictEqual( typeof scovarmtk, 'function', 'main export is a function' );
+ t.end();
+});
+
+tape( 'attached to the main export is a method providing an ndarray interface', function test( t ) {
+ t.strictEqual( typeof scovarmtk.ndarray, 'function', 'method is a function' );
+ t.end();
+});
+
+tape( 'if a native implementation is available, the main export is the native implementation', opts, function test( t ) {
+ var scovarmtk = proxyquire( './../lib', {
+ '@stdlib/utils/try-require': tryRequire
+ });
+
+ t.strictEqual( scovarmtk, mock, 'returns expected value' );
+ t.end();
+
+ function tryRequire() {
+ return mock;
+ }
+
+ function mock() {
+ // Mock...
+ }
+});
+
+tape( 'if a native implementation is not available, the main export is a JavaScript implementation', opts, function test( t ) {
+ var scovarmtk;
+ var main;
+
+ main = require( './../lib/scovarmtk.js' );
+
+ scovarmtk = proxyquire( './../lib', {
+ '@stdlib/utils/try-require': tryRequire
+ });
+
+ t.strictEqual( scovarmtk, main, 'returns expected value' );
+ t.end();
+
+ function tryRequire() {
+ return new Error( 'Cannot find module' );
+ }
+});
diff --git a/lib/node_modules/@stdlib/stats/strided/scovarmtk/test/test.ndarray.js b/lib/node_modules/@stdlib/stats/strided/scovarmtk/test/test.ndarray.js
new file mode 100644
index 000000000000..47907203240d
--- /dev/null
+++ b/lib/node_modules/@stdlib/stats/strided/scovarmtk/test/test.ndarray.js
@@ -0,0 +1,212 @@
+/**
+* @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.
+*/
+
+'use strict';
+
+// MODULES //
+
+var tape = require( 'tape' );
+var isnanf = require( '@stdlib/math/base/assert/is-nanf' );
+var Float32Array = require( '@stdlib/array/float32' );
+var f32 = require( '@stdlib/number/float64/base/to-float32' );
+var scovarmtk = require( './../lib/ndarray.js' );
+
+
+// TESTS //
+
+tape( 'main export is a function', function test( t ) {
+ t.ok( true, __filename );
+ t.strictEqual( typeof scovarmtk, 'function', 'main export is a function' );
+ t.end();
+});
+
+tape( 'the function has an arity of 10', function test( t ) {
+ t.strictEqual( scovarmtk.length, 10, 'has expected arity' );
+ t.end();
+});
+
+tape( 'the function calculates the population covariance', function test( t ) {
+ var x;
+ var y;
+ var v;
+
+ x = new Float32Array( [ 1.0, -2.0, -4.0, 5.0, 0.0, 3.0 ] );
+ y = new Float32Array( [ -2.0, 1.0, 5.0, -4.0, 3.0, 0.0 ] );
+ v = scovarmtk( x.length, 0, 0.5, x, 1, 0, 0.5, y, 1, 0 );
+ t.strictEqual( v, f32( -45.5/x.length ), 'returns expected value' );
+
+ x = new Float32Array( [ -4.0, -4.0 ] );
+ v = scovarmtk( x.length, 0, -4.0, x, 1, 0, -4.0, x, 1, 0 );
+ t.strictEqual( v, f32( 0.0 ), 'returns expected value' );
+
+ x = new Float32Array( [ NaN, 4.0 ] );
+ v = scovarmtk( x.length, 0, 4.0, x, 1, 0, 4.0, x, 1, 0 );
+ t.strictEqual( isnanf( v ), true, 'returns expected value' );
+
+ t.end();
+});
+
+tape( 'the function calculates the sample covariance', function test( t ) {
+ var x;
+ var y;
+ var v;
+
+ x = new Float32Array( [ 1.0, -2.0, -4.0, 5.0, 0.0, 3.0 ] );
+ y = new Float32Array( [ -2.0, 1.0, 5.0, -4.0, 3.0, 0.0 ] );
+ v = scovarmtk( x.length, 1, 0.5, x, 1, 0, 0.5, y, 1, 0 );
+ t.strictEqual( v, f32( -45.5/(x.length-1) ), 'returns expected value' );
+
+ x = new Float32Array( [ -4.0, -4.0 ] );
+ v = scovarmtk( x.length, 1, -4.0, x, 1, 0, -4.0, x, 1, 0 );
+ t.strictEqual( v, f32( 0.0 ), 'returns expected value' );
+
+ x = new Float32Array( [ NaN, 4.0 ] );
+ v = scovarmtk( x.length, 1, 4.0, x, 1, 0, 4.0, x, 1, 0 );
+ t.strictEqual( isnanf( v ), true, 'returns expected value' );
+
+ t.end();
+});
+
+tape( 'if provided an `N` parameter less than or equal to `0`, the function returns `NaN`', function test( t ) {
+ var x;
+ var v;
+
+ x = new Float32Array( [ 1.0, -2.0, -4.0, 5.0, 3.0 ] );
+
+ v = scovarmtk( 0, 1, 0.6, x, 1, 0, 0.6, x, 1, 0 );
+ t.strictEqual( isnanf( v ), true, 'returns expected value' );
+
+ v = scovarmtk( -1, 1, 0.6, x, 1, 0, 0.6, x, 1, 0 );
+ t.strictEqual( isnanf( v ), true, 'returns expected value' );
+
+ t.end();
+});
+
+tape( 'if provided a `correction` parameter yielding `N-correction` less than or equal to `0`, the function returns `NaN`', function test( t ) {
+ var x;
+ var v;
+
+ x = new Float32Array( [ 1.0, -2.0, -4.0, 5.0, 3.0 ] );
+
+ v = scovarmtk( x.length, x.length, 0.6, x, 1, 0, 0.6, x, 1, 0 );
+ t.strictEqual( isnanf( v ), true, 'returns expected value' );
+
+ v = scovarmtk( x.length, x.length+1, 0.6, x, 1, 0, 0.6, x, 1, 0 );
+ t.strictEqual( isnanf( v ), true, 'returns expected value' );
+
+ t.end();
+});
+
+tape( 'the function supports stride parameters', function test( t ) {
+ var x;
+ var y;
+ var v;
+
+ x = new Float32Array([
+ 1.0, // 0
+ 2.0,
+ 2.0, // 1
+ -7.0,
+ -2.0, // 2
+ 3.0,
+ 4.0, // 3
+ 2.0
+ ]);
+
+ y = new Float32Array([
+ 2.0, // 0
+ 2.0,
+ 1.0, // 1
+ -7.0,
+ 4.0, // 2
+ 3.0,
+ -2.0, // 3
+ 2.0
+ ]);
+
+ v = scovarmtk( 4, 1, 1.25, x, 2, 0, 1.25, y, 2, 0 );
+
+ t.strictEqual( v, f32( -18.25/3 ), 'returns expected value' );
+ t.end();
+});
+
+tape( 'the function supports negative stride parameters', function test( t ) {
+ var x;
+ var y;
+ var v;
+
+ x = new Float32Array([
+ 1.0, // 3
+ 2.0,
+ 2.0, // 2
+ -7.0,
+ -2.0, // 1
+ 3.0,
+ 4.0, // 0
+ 2.0
+ ]);
+
+ y = new Float32Array([
+ 2.0, // 3
+ 2.0,
+ 1.0, // 2
+ -7.0,
+ 4.0, // 1
+ 3.0,
+ -2.0, // 0
+ 2.0
+ ]);
+
+ v = scovarmtk( 4, 1, 1.25, x, -2, 6, 1.25, y, -2, 6 );
+
+ t.strictEqual( v, f32( -18.25/3 ), 'returns expected value' );
+ t.end();
+});
+
+tape( 'the function supports offset parameters', function test( t ) {
+ var x;
+ var y;
+ var v;
+
+ x = new Float32Array([
+ 2.0,
+ 1.0, // 0
+ 2.0,
+ -2.0, // 1
+ -2.0,
+ 2.0, // 2
+ 3.0,
+ 4.0 // 3
+ ]);
+
+ y = new Float32Array([
+ 2.0,
+ 4.0, // 0
+ 2.0,
+ -2.0, // 1
+ -2.0,
+ 1.0, // 2
+ 3.0,
+ 2.0 // 3
+ ]);
+
+ v = scovarmtk( 4, 1, 1.25, x, 2, 1, 1.25, y, 2, 1 );
+ t.strictEqual( v, f32( 11.75/3 ), 'returns expected value' );
+
+ t.end();
+});
diff --git a/lib/node_modules/@stdlib/stats/strided/scovarmtk/test/test.ndarray.native.js b/lib/node_modules/@stdlib/stats/strided/scovarmtk/test/test.ndarray.native.js
new file mode 100644
index 000000000000..bdf3129ea512
--- /dev/null
+++ b/lib/node_modules/@stdlib/stats/strided/scovarmtk/test/test.ndarray.native.js
@@ -0,0 +1,221 @@
+/**
+* @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.
+*/
+
+'use strict';
+
+// MODULES //
+
+var resolve = require( 'path' ).resolve;
+var tape = require( 'tape' );
+var isnanf = require( '@stdlib/math/base/assert/is-nanf' );
+var Float32Array = require( '@stdlib/array/float32' );
+var f32 = require( '@stdlib/number/float64/base/to-float32' );
+var tryRequire = require( '@stdlib/utils/try-require' );
+
+
+// VARIABLES //
+
+var scovarmtk = tryRequire( resolve( __dirname, './../lib/ndarray.native.js' ) );
+var opts = {
+ 'skip': ( scovarmtk instanceof Error )
+};
+
+
+// TESTS //
+
+tape( 'main export is a function', opts, function test( t ) {
+ t.ok( true, __filename );
+ t.strictEqual( typeof scovarmtk, 'function', 'main export is a function' );
+ t.end();
+});
+
+tape( 'the function has an arity of 10', opts, function test( t ) {
+ t.strictEqual( scovarmtk.length, 10, 'has expected arity' );
+ t.end();
+});
+
+tape( 'the function calculates the population covariance', opts, function test( t ) {
+ var x;
+ var y;
+ var v;
+
+ x = new Float32Array( [ 1.0, -2.0, -4.0, 5.0, 0.0, 3.0 ] );
+ y = new Float32Array( [ -2.0, 1.0, 5.0, -4.0, 3.0, 0.0 ] );
+ v = scovarmtk( x.length, 0, 0.5, x, 1, 0, 0.5, y, 1, 0 );
+ t.strictEqual( v, f32( -45.5/x.length ), 'returns expected value' );
+
+ x = new Float32Array( [ -4.0, -4.0 ] );
+ v = scovarmtk( x.length, 0, -4.0, x, 1, 0, -4.0, x, 1, 0 );
+ t.strictEqual( v, f32( 0.0 ), 'returns expected value' );
+
+ x = new Float32Array( [ NaN, 4.0 ] );
+ v = scovarmtk( x.length, 0, 4.0, x, 1, 0, 4.0, x, 1, 0 );
+ t.strictEqual( isnanf( v ), true, 'returns expected value' );
+
+ t.end();
+});
+
+tape( 'the function calculates the sample covariance', opts, function test( t ) {
+ var x;
+ var y;
+ var v;
+
+ x = new Float32Array( [ 1.0, -2.0, -4.0, 5.0, 0.0, 3.0 ] );
+ y = new Float32Array( [ -2.0, 1.0, 5.0, -4.0, 3.0, 0.0 ] );
+ v = scovarmtk( x.length, 1, 0.5, x, 1, 0, 0.5, y, 1, 0 );
+ t.strictEqual( v, f32( -45.5/(x.length-1) ), 'returns expected value' );
+
+ x = new Float32Array( [ -4.0, -4.0 ] );
+ v = scovarmtk( x.length, 1, -4.0, x, 1, 0, -4.0, x, 1, 0 );
+ t.strictEqual( v, f32( 0.0 ), 'returns expected value' );
+
+ x = new Float32Array( [ NaN, 4.0 ] );
+ v = scovarmtk( x.length, 1, 4.0, x, 1, 0, 4.0, x, 1, 0 );
+ t.strictEqual( isnanf( v ), true, 'returns expected value' );
+
+ t.end();
+});
+
+tape( 'if provided an `N` parameter less than or equal to `0`, the function returns `NaN`', opts, function test( t ) {
+ var x;
+ var v;
+
+ x = new Float32Array( [ 1.0, -2.0, -4.0, 5.0, 3.0 ] );
+
+ v = scovarmtk( 0, 1, 0.6, x, 1, 0, 0.6, x, 1, 0 );
+ t.strictEqual( isnanf( v ), true, 'returns expected value' );
+
+ v = scovarmtk( -1, 1, 0.6, x, 1, 0, 0.6, x, 1, 0 );
+ t.strictEqual( isnanf( v ), true, 'returns expected value' );
+
+ t.end();
+});
+
+tape( 'if provided a `correction` parameter yielding `N-correction` less than or equal to `0`, the function returns `NaN`', opts, function test( t ) {
+ var x;
+ var v;
+
+ x = new Float32Array( [ 1.0, -2.0, -4.0, 5.0, 3.0 ] );
+
+ v = scovarmtk( x.length, x.length, 0.6, x, 1, 0, 0.6, x, 1, 0 );
+ t.strictEqual( isnanf( v ), true, 'returns expected value' );
+
+ v = scovarmtk( x.length, x.length+1, 0.6, x, 1, 0, 0.6, x, 1, 0 );
+ t.strictEqual( isnanf( v ), true, 'returns expected value' );
+
+ t.end();
+});
+
+tape( 'the function supports stride parameters', opts, function test( t ) {
+ var x;
+ var y;
+ var v;
+
+ x = new Float32Array([
+ 1.0, // 0
+ 2.0,
+ 2.0, // 1
+ -7.0,
+ -2.0, // 2
+ 3.0,
+ 4.0, // 3
+ 2.0
+ ]);
+
+ y = new Float32Array([
+ 2.0, // 0
+ 2.0,
+ 1.0, // 1
+ -7.0,
+ 4.0, // 2
+ 3.0,
+ -2.0, // 3
+ 2.0
+ ]);
+
+ v = scovarmtk( 4, 1, 1.25, x, 2, 0, 1.25, y, 2, 0 );
+
+ t.strictEqual( v, f32( -18.25/3 ), 'returns expected value' );
+ t.end();
+});
+
+tape( 'the function supports negative stride parameters', opts, function test( t ) {
+ var x;
+ var y;
+ var v;
+
+ x = new Float32Array([
+ 1.0, // 3
+ 2.0,
+ 2.0, // 2
+ -7.0,
+ -2.0, // 1
+ 3.0,
+ 4.0, // 0
+ 2.0
+ ]);
+
+ y = new Float32Array([
+ 2.0, // 3
+ 2.0,
+ 1.0, // 2
+ -7.0,
+ 4.0, // 1
+ 3.0,
+ -2.0, // 0
+ 2.0
+ ]);
+
+ v = scovarmtk( 4, 1, 1.25, x, -2, 6, 1.25, y, -2, 6 );
+
+ t.strictEqual( v, f32( -18.25/3 ), 'returns expected value' );
+ t.end();
+});
+
+tape( 'the function supports offset parameters', opts, function test( t ) {
+ var x;
+ var y;
+ var v;
+
+ x = new Float32Array([
+ 2.0,
+ 1.0, // 0
+ 2.0,
+ -2.0, // 1
+ -2.0,
+ 2.0, // 2
+ 3.0,
+ 4.0 // 3
+ ]);
+
+ y = new Float32Array([
+ 2.0,
+ 4.0, // 0
+ 2.0,
+ -2.0, // 1
+ -2.0,
+ 1.0, // 2
+ 3.0,
+ 2.0 // 3
+ ]);
+
+ v = scovarmtk( 4, 1, 1.25, x, 2, 1, 1.25, y, 2, 1 );
+ t.strictEqual( v, f32( 11.75/3 ), 'returns expected value' );
+
+ t.end();
+});
diff --git a/lib/node_modules/@stdlib/stats/strided/scovarmtk/test/test.scovarmtk.js b/lib/node_modules/@stdlib/stats/strided/scovarmtk/test/test.scovarmtk.js
new file mode 100644
index 000000000000..123a9ac41673
--- /dev/null
+++ b/lib/node_modules/@stdlib/stats/strided/scovarmtk/test/test.scovarmtk.js
@@ -0,0 +1,219 @@
+/**
+* @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.
+*/
+
+'use strict';
+
+// MODULES //
+
+var tape = require( 'tape' );
+var isnanf = require( '@stdlib/math/base/assert/is-nanf' );
+var Float32Array = require( '@stdlib/array/float32' );
+var f32 = require( '@stdlib/number/float64/base/to-float32' );
+var scovarmtk = require( './../lib/scovarmtk.js' );
+
+
+// TESTS //
+
+tape( 'main export is a function', function test( t ) {
+ t.ok( true, __filename );
+ t.strictEqual( typeof scovarmtk, 'function', 'main export is a function' );
+ t.end();
+});
+
+tape( 'the function has an arity of 8', function test( t ) {
+ t.strictEqual( scovarmtk.length, 8, 'has expected arity' );
+ t.end();
+});
+
+tape( 'the function calculates the population covariance', function test( t ) {
+ var x;
+ var y;
+ var v;
+
+ x = new Float32Array( [ 1.0, -2.0, -4.0, 5.0, 0.0, 3.0 ] );
+ y = new Float32Array( [ -2.0, 1.0, 5.0, -4.0, 3.0, 0.0 ] );
+ v = scovarmtk( x.length, 0, 0.5, x, 1, 0.5, y, 1 );
+ t.strictEqual( v, f32( -45.5/x.length ), 'returns expected value' );
+
+ x = new Float32Array( [ -4.0, -4.0 ] );
+ v = scovarmtk( x.length, 0, -4.0, x, 1, -4.0, x, 1 );
+ t.strictEqual( v, f32( 0.0 ), 'returns expected value' );
+
+ x = new Float32Array( [ NaN, 4.0 ] );
+ v = scovarmtk( x.length, 0, 4.0, x, 1, 4.0, x, 1 );
+ t.strictEqual( isnanf( v ), true, 'returns expected value' );
+
+ t.end();
+});
+
+tape( 'the function calculates the sample covariance', function test( t ) {
+ var x;
+ var y;
+ var v;
+
+ x = new Float32Array( [ 1.0, -2.0, -4.0, 5.0, 0.0, 3.0 ] );
+ y = new Float32Array( [ -2.0, 1.0, 5.0, -4.0, 3.0, 0.0 ] );
+ v = scovarmtk( x.length, 1, 0.5, x, 1, 0.5, y, 1 );
+ t.strictEqual( v, f32( -45.5/(x.length-1) ), 'returns expected value' );
+
+ x = new Float32Array( [ -4.0, -4.0 ] );
+ v = scovarmtk( x.length, 1, -4.0, x, 1, -4.0, x, 1 );
+ t.strictEqual( v, f32( 0.0 ), 'returns expected value' );
+
+ x = new Float32Array( [ NaN, 4.0 ] );
+ v = scovarmtk( x.length, 1, 4.0, x, 1, 4.0, x, 1 );
+ t.strictEqual( isnanf( v ), true, 'returns expected value' );
+
+ t.end();
+});
+
+tape( 'if provided an `N` parameter less than or equal to `0`, the function returns `NaN`', function test( t ) {
+ var x;
+ var v;
+
+ x = new Float32Array( [ 1.0, -2.0, -4.0, 5.0, 3.0 ] );
+
+ v = scovarmtk( 0, 1, 0.6, x, 1, 0.6, x, 1 );
+ t.strictEqual( isnanf( v ), true, 'returns expected value' );
+
+ v = scovarmtk( -1, 1, 0.6, x, 1, 0.6, x, 1 );
+ t.strictEqual( isnanf( v ), true, 'returns expected value' );
+
+ t.end();
+});
+
+tape( 'if provided a `correction` parameter yielding `N-correction` less than or equal to `0`, the function returns `NaN`', function test( t ) {
+ var x;
+ var v;
+
+ x = new Float32Array( [ 1.0, -2.0, -4.0, 5.0, 3.0 ] );
+
+ v = scovarmtk( x.length, x.length, 0.6, x, 1, 0.6, x, 1 );
+ t.strictEqual( isnanf( v ), true, 'returns expected value' );
+
+ v = scovarmtk( x.length, x.length+1, 0.6, x, 1, 0.6, x, 1 );
+ t.strictEqual( isnanf( v ), true, 'returns expected value' );
+
+ t.end();
+});
+
+tape( 'the function supports stride parameters', function test( t ) {
+ var x;
+ var y;
+ var v;
+
+ x = new Float32Array([
+ 1.0, // 0
+ 2.0,
+ 2.0, // 1
+ -7.0,
+ -2.0, // 2
+ 3.0,
+ 4.0, // 3
+ 2.0
+ ]);
+
+ y = new Float32Array([
+ 2.0, // 0
+ 2.0,
+ 1.0, // 1
+ -7.0,
+ 4.0, // 2
+ 3.0,
+ -2.0, // 3
+ 2.0
+ ]);
+
+ v = scovarmtk( 4, 1, 1.25, x, 2, 1.25, y, 2 );
+
+ t.strictEqual( v, f32( -18.25/3 ), 'returns expected value' );
+ t.end();
+});
+
+tape( 'the function supports negative stride parameters', function test( t ) {
+ var x;
+ var y;
+ var v;
+
+ x = new Float32Array([
+ 1.0, // 3
+ 2.0,
+ 2.0, // 2
+ -7.0,
+ -2.0, // 1
+ 3.0,
+ 4.0, // 0
+ 2.0
+ ]);
+
+ y = new Float32Array([
+ 2.0, // 3
+ 2.0,
+ 1.0, // 2
+ -7.0,
+ 4.0, // 1
+ 3.0,
+ -2.0, // 0
+ 2.0
+ ]);
+
+ v = scovarmtk( 4, 1, 1.25, x, -2, 1.25, y, -2 );
+
+ t.strictEqual( v, f32( -18.25/3 ), 'returns expected value' );
+ t.end();
+});
+
+tape( 'the function supports view offsets', function test( t ) {
+ var x0;
+ var x1;
+ var y0;
+ var y1;
+ var v;
+
+ x0 = new Float32Array([
+ 2.0,
+ 1.0, // 0
+ 2.0,
+ -2.0, // 1
+ -2.0,
+ 2.0, // 2
+ 3.0,
+ 4.0, // 3
+ 6.0
+ ]);
+
+ y0 = new Float32Array([
+ 2.0,
+ -2.0, // 0
+ 2.0,
+ 1.0, // 1
+ -2.0,
+ 4.0, // 2
+ 3.0,
+ 2.0, // 3
+ 6.0
+ ]);
+
+ x1 = new Float32Array( x0.buffer, x0.BYTES_PER_ELEMENT*1 ); // start at 2nd element
+ y1 = new Float32Array( y0.buffer, y0.BYTES_PER_ELEMENT*1 ); // start at 2nd element
+
+ v = scovarmtk( 4, 1, 1.25, x1, 2, 1.25, y1, 2 );
+ t.strictEqual( v, f32( 5.75/3 ), 'returns expected value' );
+
+ t.end();
+});
diff --git a/lib/node_modules/@stdlib/stats/strided/scovarmtk/test/test.scovarmtk.native.js b/lib/node_modules/@stdlib/stats/strided/scovarmtk/test/test.scovarmtk.native.js
new file mode 100644
index 000000000000..c8cb2785df38
--- /dev/null
+++ b/lib/node_modules/@stdlib/stats/strided/scovarmtk/test/test.scovarmtk.native.js
@@ -0,0 +1,228 @@
+/**
+* @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.
+*/
+
+'use strict';
+
+// MODULES //
+
+var resolve = require( 'path' ).resolve;
+var tape = require( 'tape' );
+var isnanf = require( '@stdlib/math/base/assert/is-nanf' );
+var Float32Array = require( '@stdlib/array/float32' );
+var f32 = require( '@stdlib/number/float64/base/to-float32' );
+var tryRequire = require( '@stdlib/utils/try-require' );
+
+
+// VARIABLES //
+
+var scovarmtk = tryRequire( resolve( __dirname, './../lib/scovarmtk.native.js' ) );
+var opts = {
+ 'skip': ( scovarmtk instanceof Error )
+};
+
+
+// TESTS //
+
+tape( 'main export is a function', opts, function test( t ) {
+ t.ok( true, __filename );
+ t.strictEqual( typeof scovarmtk, 'function', 'main export is a function' );
+ t.end();
+});
+
+tape( 'the function has an arity of 8', opts, function test( t ) {
+ t.strictEqual( scovarmtk.length, 8, 'has expected arity' );
+ t.end();
+});
+
+tape( 'the function calculates the population covariance', opts, function test( t ) {
+ var x;
+ var y;
+ var v;
+
+ x = new Float32Array( [ 1.0, -2.0, -4.0, 5.0, 0.0, 3.0 ] );
+ y = new Float32Array( [ -2.0, 1.0, 5.0, -4.0, 3.0, 0.0 ] );
+ v = scovarmtk( x.length, 0, 0.5, x, 1, 0.5, y, 1 );
+ t.strictEqual( v, f32( -45.5/x.length ), 'returns expected value' );
+
+ x = new Float32Array( [ -4.0, -4.0 ] );
+ v = scovarmtk( x.length, 0, -4.0, x, 1, -4.0, x, 1 );
+ t.strictEqual( v, f32( 0.0 ), 'returns expected value' );
+
+ x = new Float32Array( [ NaN, 4.0 ] );
+ v = scovarmtk( x.length, 0, 4.0, x, 1, 4.0, x, 1 );
+ t.strictEqual( isnanf( v ), true, 'returns expected value' );
+
+ t.end();
+});
+
+tape( 'the function calculates the sample covariance', opts, function test( t ) {
+ var x;
+ var y;
+ var v;
+
+ x = new Float32Array( [ 1.0, -2.0, -4.0, 5.0, 0.0, 3.0 ] );
+ y = new Float32Array( [ -2.0, 1.0, 5.0, -4.0, 3.0, 0.0 ] );
+ v = scovarmtk( x.length, 1, 0.5, x, 1, 0.5, y, 1 );
+ t.strictEqual( v, f32( -45.5/(x.length-1) ), 'returns expected value' );
+
+ x = new Float32Array( [ -4.0, -4.0 ] );
+ v = scovarmtk( x.length, 1, -4.0, x, 1, -4.0, x, 1 );
+ t.strictEqual( v, f32( 0.0 ), 'returns expected value' );
+
+ x = new Float32Array( [ NaN, 4.0 ] );
+ v = scovarmtk( x.length, 1, 4.0, x, 1, 4.0, x, 1 );
+ t.strictEqual( isnanf( v ), true, 'returns expected value' );
+
+ t.end();
+});
+
+tape( 'if provided an `N` parameter less than or equal to `0`, the function returns `NaN`', opts, function test( t ) {
+ var x;
+ var v;
+
+ x = new Float32Array( [ 1.0, -2.0, -4.0, 5.0, 3.0 ] );
+
+ v = scovarmtk( 0, 1, 0.6, x, 1, 0.6, x, 1 );
+ t.strictEqual( isnanf( v ), true, 'returns expected value' );
+
+ v = scovarmtk( -1, 1, 0.6, x, 1, 0.6, x, 1 );
+ t.strictEqual( isnanf( v ), true, 'returns expected value' );
+
+ t.end();
+});
+
+tape( 'if provided a `correction` parameter yielding `N-correction` less than or equal to `0`, the function returns `NaN`', opts, function test( t ) {
+ var x;
+ var v;
+
+ x = new Float32Array( [ 1.0, -2.0, -4.0, 5.0, 3.0 ] );
+
+ v = scovarmtk( x.length, x.length, 0.6, x, 1, 0.6, x, 1 );
+ t.strictEqual( isnanf( v ), true, 'returns expected value' );
+
+ v = scovarmtk( x.length, x.length+1, 0.6, x, 1, 0.6, x, 1 );
+ t.strictEqual( isnanf( v ), true, 'returns expected value' );
+
+ t.end();
+});
+
+tape( 'the function supports stride parameters', opts, function test( t ) {
+ var x;
+ var y;
+ var v;
+
+ x = new Float32Array([
+ 1.0, // 0
+ 2.0,
+ 2.0, // 1
+ -7.0,
+ -2.0, // 2
+ 3.0,
+ 4.0, // 3
+ 2.0
+ ]);
+
+ y = new Float32Array([
+ 2.0, // 0
+ 2.0,
+ 1.0, // 1
+ -7.0,
+ 4.0, // 2
+ 3.0,
+ -2.0, // 3
+ 2.0
+ ]);
+
+ v = scovarmtk( 4, 1, 1.25, x, 2, 1.25, y, 2 );
+
+ t.strictEqual( v, f32( -18.25/3 ), 'returns expected value' );
+ t.end();
+});
+
+tape( 'the function supports negative stride parameters', opts, function test( t ) {
+ var x;
+ var y;
+ var v;
+
+ x = new Float32Array([
+ 1.0, // 3
+ 2.0,
+ 2.0, // 2
+ -7.0,
+ -2.0, // 1
+ 3.0,
+ 4.0, // 0
+ 2.0
+ ]);
+
+ y = new Float32Array([
+ 2.0, // 3
+ 2.0,
+ 1.0, // 2
+ -7.0,
+ 4.0, // 1
+ 3.0,
+ -2.0, // 0
+ 2.0
+ ]);
+
+ v = scovarmtk( 4, 1, 1.25, x, -2, 1.25, y, -2 );
+
+ t.strictEqual( v, f32( -18.25/3 ), 'returns expected value' );
+ t.end();
+});
+
+tape( 'the function supports view offsets', opts, function test( t ) {
+ var x0;
+ var x1;
+ var y0;
+ var y1;
+ var v;
+
+ x0 = new Float32Array([
+ 2.0,
+ 1.0, // 0
+ 2.0,
+ -2.0, // 1
+ -2.0,
+ 2.0, // 2
+ 3.0,
+ 4.0, // 3
+ 6.0
+ ]);
+
+ y0 = new Float32Array([
+ 2.0,
+ -2.0, // 0
+ 2.0,
+ 1.0, // 1
+ -2.0,
+ 4.0, // 2
+ 3.0,
+ 2.0, // 3
+ 6.0
+ ]);
+
+ x1 = new Float32Array( x0.buffer, x0.BYTES_PER_ELEMENT*1 ); // start at 2nd element
+ y1 = new Float32Array( y0.buffer, y0.BYTES_PER_ELEMENT*1 ); // start at 2nd element
+
+ v = scovarmtk( 4, 1, 1.25, x1, 2, 1.25, y1, 2 );
+ t.strictEqual( v, f32( 5.75/3 ), 'returns expected value' );
+
+ t.end();
+});