feat: add ndarray/base/quaternary-tiling-block-size

lib/node_modules/@stdlib/ndarray/base/quaternary-tiling-block-size/README.md

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+<!--
+
+@license Apache-2.0
+
+Copyright (c) 2026 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.
+
+-->
+
+# quaternaryBlockSize
+
+> Resolve a loop block size for multi-dimensional array tiled loops.
+
+<!-- Section to include introductory text. Make sure to keep an empty line after the intro `section` element and another before the `/section` close. -->
+
+<section class="intro">
+
+</section>
+
+<!-- /.intro -->
+
+<!-- Package usage documentation. -->
+
+<section class="usage">
+
+## Usage
+
+```javascript
+var quaternaryBlockSize = require( '@stdlib/ndarray/base/quaternary-tiling-block-size' );
+```
+
+#### quaternaryBlockSize( dtypeX, dtypeY, dtypeZ, dtypeW, dtypeU )
+
+Resolves a loop block size according to provided ndarray [dtypes][@stdlib/ndarray/dtypes] for multi-dimensional array tiled loops applying a ternary function.
+
+```javascript
+var bsize = quaternaryBlockSize( 'float64', 'float64', 'float64', 'float64', 'float64' );
+// returns <number>
+```
+
+The function supports the following arguments:
+
+-   **dtypeX**: first input array data type.
+-   **dtypeY**: second input array data type.
+-   **dtypeZ**: third input array data type.
+-   **dtypeW**: fourth input array data type.
+-   **dtypeU**: output array data type.
+
+</section>
+
+<!-- /.usage -->
+
+<!-- Package usage notes. Make sure to keep an empty line after the `section` element and another before the `/section` close. -->
+
+<section class="notes">
+
+## Notes
+
+-   The returned loop tiling block size is in units of elements.
+
+</section>
+
+<!-- /.notes -->
+
+<!-- Package usage examples. -->
+
+<section class="examples">
+
+## Examples
+
+<!-- eslint no-undef: "error" -->
+
+```javascript
+var dtypes = require( '@stdlib/ndarray/dtypes' );
+var cartesianPower = require( '@stdlib/array/base/cartesian-power' );
+var promotionRules = require( '@stdlib/ndarray/promotion-rules' );
+var quaternaryBlockSize = require( '@stdlib/ndarray/base/quaternary-tiling-block-size' );
+
+// Generate a list of input ndarray dtype quadruplets:
+var dt = cartesianPower( dtypes(), 4 );
+
+// Resolve the block size for each dtype quadruplet and its promoted dtype...
+var t;
+var b;
+var i;
+console.log( 'block_size, xdtype, ydtype, zdtype, wdtype, udtype' );
+for ( i = 0; i < dt.length; i++ ) {
+    t = promotionRules.apply( null, dt[ i ] );
+    dt[ i ].push( ( t === -1 ) ? 'generic' : t );
+    b = quaternaryBlockSize.apply( null, dt[ i ] );
+    console.log( '%d, %s, %s, %s, %s, %s', b, dt[i][0], dt[i][1], dt[i][2], dt[i][3], dt[i][4] );
+}
+```
+
+</section>
+
+<!-- /.examples -->
+
+<!-- Section to include cited references. If references are included, add a horizontal rule *before* the section. Make sure to keep an empty line after the `section` element and another before the `/section` close. -->
+
+<section class="references">
+
+</section>
+
+<!-- /.references -->
+
+<!-- Section for related `stdlib` packages. Do not manually edit this section, as it is automatically populated. -->
+
+<section class="related">
+
+</section>
+
+<!-- /.related -->
+
+<!-- Section for all links. Make sure to keep an empty line after the `section` element and another before the `/section` close. -->
+
+<section class="links">
+
+[@stdlib/ndarray/dtypes]: https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/ndarray/dtypes
+
+</section>
+
+<!-- /.links -->

lib/node_modules/@stdlib/ndarray/base/quaternary-tiling-block-size/benchmark/benchmark.js

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+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2026 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 isPositiveInteger = require( '@stdlib/assert/is-positive-integer' ).isPrimitive;
+var pkg = require( './../package.json' ).name;
+var blockSize = require( './../lib' );
+
+
+// MAIN //
+
+bench( pkg, function benchmark( b ) {
+	var dx;
+	var dy;
+	var dz;
+	var dw;
+	var du;
+	var s;
+	var i;
+
+	dx = [
+		'float64',
+		'float32',
+		'int8',
+		'uint8',
+		'uint8c',
+		'int16',
+		'uint16',
+		'int32',
+		'uint32',
+		'binary',
+		'generic',
+		'foobar'
+	];
+	dy = [
+		'float64',
+		'float32',
+		'int8',
+		'uint8',
+		'uint8c',
+		'int16',
+		'uint16',
+		'int32',
+		'uint32',
+		'binary',
+		'generic',
+		'foobar'
+	];
+	dz = [
+		'float64',
+		'float32',
+		'int8',
+		'uint8',
+		'uint8c',
+		'int16',
+		'uint16',
+		'int32',
+		'uint32',
+		'binary',
+		'generic',
+		'foobar'
+	];
+	dw = [
+		'float64',
+		'float32',
+		'int8',
+		'uint8',
+		'uint8c',
+		'int16',
+		'uint16',
+		'int32',
+		'uint32',
+		'binary',
+		'generic',
+		'foobar'
+	];
+	du = [
+		'float64',
+		'generic',
+		'int32',
+		'int16',
+		'int8'
+	];
+
+	b.tic();
+	for ( i = 0; i < b.iterations; i++ ) {
+		s = blockSize( dx[ i%dx.length ], dy[ i%dy.length ], dz[ i%dz.length ], dw[ i%dw.length ], du[ i%du.length ] ); // eslint-disable-line max-len
+		if ( typeof s !== 'number' ) {
+			b.fail( 'should return a number' );
+		}
+	}
+	b.toc();
+	if ( !isPositiveInteger( s ) ) {
+		b.fail( 'should return a positive integer' );
+	}
+	b.pass( 'benchmark finished' );
+	b.end();
+});

lib/node_modules/@stdlib/ndarray/base/quaternary-tiling-block-size/docs/repl.txt

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+
+{{alias}}( dtypeX, dtypeY, dtypeZ, dtypeW, dtypeU )
+    Returns a loop block size for multi-dimensional array tiled loops.
+
+    Parameters
+    ----------
+    dtypeX: string|DataType
+        First input array data type.
+
+    dtypeY: string|DataType
+        Second input array data type.
+
+    dtypeZ: string|DataType
+        Third input array data type.
+
+    dtypeW: string|DataType
+        Fourth input array data type.
+
+    dtypeU: string|DataType
+        Output array data type.
+
+    Returns
+    -------
+    out: integer
+        Block size.
+
+    Examples
+    --------
+    > var out = {{alias}}( 'float64', 'int8', 'float64', 'float64', 'float64' )
+    <number>
+    > out = {{alias}}( 'float64', 'int32', 'float64', 'float64', 'float64' )
+    <number>
+
+    See Also
+    --------
+

lib/node_modules/@stdlib/ndarray/base/quaternary-tiling-block-size/docs/types/index.d.ts

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+/*
+* @license Apache-2.0
+*
+* Copyright (c) 2026 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
+
+/// <reference types="@stdlib/types"/>
+
+import { DataType } from '@stdlib/types/ndarray';
+
+/**
+* Returns a loop block size for multi-dimensional array tiled loops.
+*
+* @param dtypeX - first input array data type
+* @param dtypeY - second input array data type
+* @param dtypeZ - third input array data type
+* @param dtypeW - fourth input array data type
+* @param dtypeU - output array data type
+* @returns block size (in units of elements)
+*
+* @example
+* var bsize = quaternaryBlockSize( 'float64', 'float64', 'float64', 'float64', 'float64' );
+* // returns <number>
+*/
+declare function quaternaryBlockSize( dtypeX: DataType, dtypeY: DataType, dtypeZ: DataType, dtypeW: DataType, dtypeU: DataType ): number;
+
+
+// EXPORTS //
+
+export = quaternaryBlockSize;

lib/node_modules/@stdlib/ndarray/base/quaternary-tiling-block-size/docs/types/test.ts

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+/*
+* @license Apache-2.0
+*
+* Copyright (c) 2026 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 quaternaryBlockSize = require( './index' );
+
+
+// TESTS //
+
+// The function returns a number...
+{
+	quaternaryBlockSize( 'float64', 'float64', 'float64', 'float64', 'float64' ); // $ExpectType number
+	quaternaryBlockSize( 'float32', 'int8', 'uint16', 'complex128', 'complex128' ); // $ExpectType number
+	quaternaryBlockSize( 'generic', 'generic', 'generic', 'generic', 'generic' ); // $ExpectType number
+}
+
+// The compiler throws an error if the function is provided insufficient arguments...
+{
+	quaternaryBlockSize(); // $ExpectError
+	quaternaryBlockSize( 'float64' ); // $ExpectError
+	quaternaryBlockSize( 'float64', 'float64' ); // $ExpectError
+	quaternaryBlockSize( 'float64', 'float64', 'float64' ); // $ExpectError
+	quaternaryBlockSize( 'float64', 'float64', 'float64', 'float64' ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided too many arguments...
+{
+	quaternaryBlockSize( 'float64', 'float64', 'float64', 'float64', 'float64', {} ); // $ExpectError
+}