diff --git a/CHANGELOG.md b/CHANGELOG.md
index a71dad38..bb54ded4 100644
--- a/CHANGELOG.md
+++ b/CHANGELOG.md
@@ -122,6 +122,40 @@
+
+
+#### [@stdlib/array/base/broadcasted-ternary3d](https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/array/base/broadcasted-ternary3d)
+
+
+
+
+
+##### Features
+
+- [`fb3c880`](https://github.com/stdlib-js/stdlib/commit/fb3c880b79a6861fe3da4b14eefadafc90d63eda) - add `array/base/braodcasted-ternary3d` [(#3228)](https://github.com/stdlib-js/stdlib/pull/3228)
+
+
+
+
+
+
+
+##### Closed Issues
+
+This release closes the following issue:
+
+[#3164](https://github.com/stdlib-js/stdlib/issues/3164)
+
+
+
+
+
+
+
+
+
+
+
#### [@stdlib/array/base/group-entries](https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/array/base/group-entries)
@@ -446,9 +480,9 @@ A total of 2 issues were closed in this release:
### Closed Issues
-A total of 6 issues were closed in this release:
+A total of 7 issues were closed in this release:
-[#3135](https://github.com/stdlib-js/stdlib/issues/3135), [#3138](https://github.com/stdlib-js/stdlib/issues/3138), [#3177](https://github.com/stdlib-js/stdlib/issues/3177), [#3178](https://github.com/stdlib-js/stdlib/issues/3178), [#3179](https://github.com/stdlib-js/stdlib/issues/3179), [#3180](https://github.com/stdlib-js/stdlib/issues/3180)
+[#3135](https://github.com/stdlib-js/stdlib/issues/3135), [#3138](https://github.com/stdlib-js/stdlib/issues/3138), [#3164](https://github.com/stdlib-js/stdlib/issues/3164), [#3177](https://github.com/stdlib-js/stdlib/issues/3177), [#3178](https://github.com/stdlib-js/stdlib/issues/3178), [#3179](https://github.com/stdlib-js/stdlib/issues/3179), [#3180](https://github.com/stdlib-js/stdlib/issues/3180)
@@ -477,6 +511,7 @@ A total of 6 people contributed to this release. Thank you to the following cont
+- [`fb3c880`](https://github.com/stdlib-js/stdlib/commit/fb3c880b79a6861fe3da4b14eefadafc90d63eda) - **feat:** add `array/base/braodcasted-ternary3d` [(#3228)](https://github.com/stdlib-js/stdlib/pull/3228) _(by Vinit Pandit, Athan Reines)_
- [`2af4b75`](https://github.com/stdlib-js/stdlib/commit/2af4b757cab1052ee7a788f2154f2c7b8c9aa9bb) - **docs:** add note _(by Athan Reines)_
- [`10641b6`](https://github.com/stdlib-js/stdlib/commit/10641b65eee7299d16d0c0239575eafc6b575557) - **docs:** add note _(by Athan Reines)_
- [`2c40c48`](https://github.com/stdlib-js/stdlib/commit/2c40c487c3f7cfcfa445d9855fb6c89b97ebf600) - **docs:** fix return values _(by Athan Reines)_
diff --git a/base/broadcasted-ternary3d/README.md b/base/broadcasted-ternary3d/README.md
new file mode 100644
index 00000000..49682741
--- /dev/null
+++ b/base/broadcasted-ternary3d/README.md
@@ -0,0 +1,141 @@
+
+
+# bternary3d
+
+> Apply a ternary callback to elements in three [broadcasted][@stdlib/array/base/broadcast-array] nested input arrays and assign results to elements in a three-dimensional nested output array.
+
+
+
+
+
+
+
+## Usage
+
+```javascript
+var bternary3d = require( '@stdlib/array/base/broadcasted-ternary3d' );
+```
+
+#### bternary3d( arrays, shapes, fcn )
+
+Applies a ternary callback to elements in three [broadcasted][@stdlib/array/base/broadcast-array] nested input arrays and assigns results to elements in a three-dimensional nested output array.
+
+```javascript
+var add = require( '@stdlib/math/base/ops/add3' );
+var zeros3d = require( '@stdlib/array/base/zeros3d' );
+
+var x = [ [ [ 1.0 ], [ 2.0 ] ] ];
+var y = [ [ [ 3.0 ] ], [ [ 4.0 ] ] ];
+var z = [ [ [ 5.0, 6.0 ] ] ];
+var out = zeros3d( [ 2, 2, 2 ] );
+
+var shapes = [
+ [ 1, 2, 1 ],
+ [ 2, 1, 1 ],
+ [ 1, 1, 2 ],
+ [ 2, 2, 2 ]
+];
+
+bternary3d( [ x, y, z, out ], shapes, add );
+// out => [ [ [ 9.0, 10.0 ], [ 10.0, 11.0 ] ], [ [ 10.0, 11.0 ], [ 11.0, 12.0 ] ] ]
+```
+
+The function accepts the following arguments:
+
+- **arrays**: array-like object containing three input nested arrays and one output nested array.
+- **shapes**: array shapes.
+- **fcn**: ternary function to apply.
+
+
+
+
+
+
+
+## Notes
+
+- The input and output array shapes must be broadcast [compatible][@stdlib/ndarray/base/broadcast-shapes].
+
+
+
+
+
+
+
+## Examples
+
+
+
+```javascript
+var discreteUniform = require( '@stdlib/random/base/discrete-uniform' ).factory;
+var filled3dBy = require( '@stdlib/array/base/filled3d-by' );
+var zeros3d = require( '@stdlib/array/base/zeros3d' );
+var add = require( '@stdlib/math/base/ops/add3' );
+var bternary3d = require( '@stdlib/array/base/broadcasted-ternary3d' );
+
+var shapes = [
+ [ 1, 3, 1 ],
+ [ 3, 1, 1 ],
+ [ 1, 1, 3 ],
+ [ 3, 3, 3 ]
+];
+
+var x = filled3dBy( shapes[ 0 ], discreteUniform( -100, 100 ) );
+console.log( x );
+
+var y = filled3dBy( shapes[ 1 ], discreteUniform( -100, 100 ) );
+console.log( y );
+
+var z = filled3dBy( shapes[ 2 ], discreteUniform( -100, 100 ) );
+console.log( z );
+
+var out = zeros3d( shapes[ 3 ] );
+console.log( out );
+
+bternary3d( [ x, y, z, out ], shapes, add );
+console.log( out );
+```
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+
+[@stdlib/array/base/broadcast-array]: https://github.com/stdlib-js/array/tree/main/base/broadcast-array
+
+[@stdlib/ndarray/base/broadcast-shapes]: https://github.com/stdlib-js/ndarray-base-broadcast-shapes
+
+
+
+
diff --git a/base/broadcasted-ternary3d/benchmark/benchmark.js b/base/broadcasted-ternary3d/benchmark/benchmark.js
new file mode 100644
index 00000000..a5c72d6e
--- /dev/null
+++ b/base/broadcasted-ternary3d/benchmark/benchmark.js
@@ -0,0 +1,130 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2024 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+* http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+'use strict';
+
+// MODULES //
+
+var bench = require( '@stdlib/bench' );
+var uniform = require( '@stdlib/random/base/uniform' ).factory;
+var isnan = require( '@stdlib/math/base/assert/is-nan' );
+var pow = require( '@stdlib/math/base/special/pow' );
+var floor = require( '@stdlib/math/base/special/floor' );
+var add = require( '@stdlib/math/base/ops/add3' );
+var filled3dBy = require( './../../../base/filled3d-by' );
+var zeros3d = require( './../../../base/zeros3d' );
+var numel = require( '@stdlib/ndarray/base/numel' );
+var pkg = require( './../package.json' ).name;
+var bternary3d = require( './../lib' );
+
+
+// FUNCTIONS //
+
+/**
+* Creates a benchmark function.
+*
+* @private
+* @param {PositiveIntegerArray} shape - output array shape
+* @returns {Function} benchmark function
+*/
+function createBenchmark( shape ) {
+ var arrays;
+ var shapes;
+ var x;
+ var y;
+ var z;
+ var w;
+
+ shapes = [
+ [ 1, 1, shape[ 2 ] ],
+ [ shape[ 0 ], 1, 1 ],
+ [ 1, shape[ 1 ], 1 ],
+ shape
+ ];
+ x = filled3dBy( shapes[ 0 ], uniform( -100.0, 100.0 ) );
+ y = filled3dBy( shapes[ 1 ], uniform( -100.0, 100.0 ) );
+ z = filled3dBy( shapes[ 2 ], uniform( -100.0, 100.0 ) );
+ w = zeros3d( shapes[ 3 ] );
+
+ arrays = [ x, y, z, w ];
+
+ return benchmark;
+
+ /**
+ * Benchmark function.
+ *
+ * @private
+ * @param {Benchmark} b - benchmark instance
+ */
+ function benchmark( b ) {
+ var i0;
+ var i1;
+ var i2;
+ var i;
+
+ b.tic();
+ for ( i = 0; i < b.iterations; i++ ) {
+ bternary3d( arrays, shapes, add );
+ i2 = i % shapes[ 1 ][ 0 ];
+ i1 = i % shapes[ 1 ][ 1 ];
+ i0 = i % shapes[ 1 ][ 2 ];
+ if ( isnan( arrays[ 3 ][ i2 ][ i1 ][ i0 ] ) ) {
+ b.fail( 'should not return NaN' );
+ }
+ }
+ b.toc();
+
+ i2 = i % shapes[ 1 ][ 0 ];
+ i1 = i % shapes[ 1 ][ 1 ];
+ i0 = i % shapes[ 1 ][ 2 ];
+ if ( isnan( arrays[ 3 ][ i2 ][ i1 ][ i0 ] ) ) {
+ b.fail( 'should not return NaN' );
+ }
+ b.pass( 'benchmark finished' );
+ b.end();
+ }
+}
+
+
+// MAIN //
+
+/**
+* Main execution sequence.
+*
+* @private
+*/
+function main() {
+ var min;
+ var max;
+ var sh;
+ var N;
+ var f;
+ var i;
+
+ min = 1; // 10^min
+ max = 6; // 10^max
+
+ for ( i = min; i <= max; i++ ) {
+ N = floor( pow( pow( 10, i ), 1.0 / 3.0 ) );
+ sh = [ N, N, N ];
+ f = createBenchmark( sh );
+ bench( pkg + '::equidimensional:size=' + numel( sh ), f );
+ }
+}
+
+main();
diff --git a/base/broadcasted-ternary3d/docs/repl.txt b/base/broadcasted-ternary3d/docs/repl.txt
new file mode 100644
index 00000000..f7183ee2
--- /dev/null
+++ b/base/broadcasted-ternary3d/docs/repl.txt
@@ -0,0 +1,32 @@
+
+{{alias}}( arrays, shapes, fcn )
+ Applies a ternary callback to elements in three broadcasted input arrays and
+ assigns results to elements in a three-dimensional nested output array.
+
+ Parameters
+ ----------
+ arrays: ArrayLikeObject
+ Array-like object containing three input nested arrays and one output
+ nested array.
+
+ shapes: Array>
+ Array shapes.
+
+ fcn: Function
+ Ternary callback.
+
+ Examples
+ --------
+ > function fcn( x, y, z ) { return x + y + z };
+ > var x = [ 1.0 ];
+ > var y = [ [ 2.0 ], [ 3.0 ] ];
+ > var z = [ [ [ 4.0 ], [ 6.0 ] ] ];
+ > var out = [ [ [ 0.0 ], [ 0.0 ] ], [ [ 0.0 ], [ 0.0 ] ] ];
+ > var shapes = [ [ 1 ], [ 2, 1 ], [ 1, 2, 1 ], [ 2, 2, 1 ] ];
+ > {{alias}}( [ x, y, z, out ], shapes, fcn );
+ > out
+ [ [ [ 7.0 ], [ 10.0 ] ], [ [ 7.0 ], [ 10.0 ] ] ]
+
+ See Also
+ --------
+
diff --git a/base/broadcasted-ternary3d/docs/types/index.d.ts b/base/broadcasted-ternary3d/docs/types/index.d.ts
new file mode 100644
index 00000000..021733d5
--- /dev/null
+++ b/base/broadcasted-ternary3d/docs/types/index.d.ts
@@ -0,0 +1,114 @@
+/*
+* @license Apache-2.0
+*
+* Copyright (c) 2024 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+* http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+// TypeScript Version: 4.1
+
+///
+
+import { Array1D, Array2D, Array3D } from '@stdlib/types/array';
+import { Shape1D, Shape2D, Shape3D } from '@stdlib/types/ndarray';
+
+/**
+* Ternary callback.
+*
+* @param v1 - element from first input array
+* @param v2 - element from second input array
+* @param v3 - element from third input array
+* @returns result
+*/
+type Ternary = ( v1: T, v2: U, v3: V ) => W;
+
+/**
+* Input array.
+*/
+type InputArray = Array1D | Array2D | Array3D;
+
+/**
+* Input array shape.
+*/
+type InputArrayShape = Shape1D | Shape2D | Shape3D;
+
+/**
+* Output array.
+*/
+type OutputArray = Array3D;
+
+/**
+* Output array shape.
+*/
+type OutputArrayShape = Shape3D;
+
+/**
+* Input and output arrays.
+*/
+type InOutArrays = [
+ InputArray,
+ InputArray,
+ InputArray,
+ OutputArray
+];
+
+/**
+* Input and output array shapes.
+*/
+type InOutShapes = [
+ InputArrayShape,
+ InputArrayShape,
+ InputArrayShape,
+ OutputArrayShape
+];
+
+/**
+* Applies a ternary callback to elements in three broadcasted input arrays and assigns results to elements in a three-dimensional nested output array.
+*
+* ## Notes
+*
+* - The input array shapes must be broadcast compatible with the output array shape.
+*
+* @param arrays - array containing three input nested arrays and one output nested array
+* @param shapes - array shapes
+* @param fcn - ternary callback
+*
+* @example
+* var ones3d = require( '@stdlib/array/base/ones3d' );
+* var zeros3d = require( '@stdlib/array/base/zeros3d' );
+* var add = require( '@stdlib/math/base/ops/add3' );
+*
+* var shapes = [
+* [ 1, 2, 1 ],
+* [ 2, 1, 1 ],
+* [ 1, 1, 2 ],
+* [ 2, 2, 2 ]
+* ];
+*
+* var x = ones3d( shapes[ 0 ] );
+* var y = ones3d( shapes[ 1 ] );
+* var z = ones3d( shapes[ 2 ] );
+* var out = zeros3d( shapes[ 3 ] );
+*
+* bternary3d( [ x, y, z, out ], shapes, add );
+*
+* console.log( out );
+* // => [ [ [ 3.0, 3.0 ], [ 3.0, 3.0 ] ], [ [ 3.0, 3.0 ], [ 3.0, 3.0 ] ] ]
+*/
+declare function bternary3d( arrays: InOutArrays, shapes: InOutShapes, fcn: Ternary ): void;
+
+
+// EXPORTS //
+
+export = bternary3d;
diff --git a/base/broadcasted-ternary3d/docs/types/test.ts b/base/broadcasted-ternary3d/docs/types/test.ts
new file mode 100644
index 00000000..b1177e0f
--- /dev/null
+++ b/base/broadcasted-ternary3d/docs/types/test.ts
@@ -0,0 +1,110 @@
+/*
+* @license Apache-2.0
+*
+* Copyright (c) 2024 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+* http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+import bternary3d = require( './index' );
+
+/**
+* Ternary function.
+*
+* @param x - input value
+* @param y - input value
+* @param z - input value
+* @returns result
+*/
+function fcn( x: number, y: number, z: number ): number {
+ return x + y + z;
+}
+
+
+// TESTS //
+
+// The function returns undefined...
+{
+ const x = [ [ [ 1.0, 2.0 ], [ 3.0, 4.0 ] ], [ [ 1.0, 2.0 ], [ 3.0, 4.0 ] ] ];
+ const y = [ [ [ 1.0, 2.0 ], [ 3.0, 4.0 ] ], [ [ 1.0, 2.0 ], [ 3.0, 4.0 ] ] ];
+ const z = [ [ [ 1.0, 2.0 ], [ 3.0, 4.0 ] ], [ [ 1.0, 2.0 ], [ 3.0, 4.0 ] ] ];
+ const out = [ [ [ 0.0, 0.0 ], [ 0.0, 0.0 ] ], [ [ 0.0, 0.0 ], [ 0.0, 0.0 ] ] ];
+
+ const shapes: [ Array, Array, Array, Array ] = [ [ 2, 2, 2 ], [ 2, 2, 2 ], [ 2, 2, 2 ], [ 2, 2, 2 ] ];
+
+ bternary3d( [ x, y, z, out ], shapes, fcn ); // $ExpectType void
+ bternary3d( [ x[ 0 ][ 0 ], y, z, out ], [ [ shapes[ 0 ][ 2 ] ], shapes[ 1 ], shapes[ 2 ] , shapes[ 3 ] ], fcn ); // $ExpectType void
+}
+
+// The compiler throws an error if the function is provided a first argument which is not an array of nested arrays...
+{
+ const shapes: [ Array, Array, Array, Array ] = [ [ 2, 2, 2 ], [ 2, 2, 2 ], [ 2, 2, 2 ], [ 2, 2, 2 ] ];
+
+ bternary3d( 'abc', shapes, fcn ); // $ExpectError
+ bternary3d( 3.14, shapes, fcn ); // $ExpectError
+ bternary3d( true, shapes, fcn ); // $ExpectError
+ bternary3d( false, shapes, fcn ); // $ExpectError
+ bternary3d( null, shapes, fcn ); // $ExpectError
+ bternary3d( [ '1' ], shapes, fcn ); // $ExpectError
+ bternary3d( {}, shapes, fcn ); // $ExpectError
+ bternary3d( ( x: number ): number => x, shapes, fcn ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided a second argument which is not an array of arrays...
+{
+ const x = [ [ [ 1.0, 2.0 ], [ 3.0, 4.0 ] ], [ [ 1.0, 2.0 ], [ 3.0, 4.0 ] ] ];
+ const y = [ [ [ 1.0, 2.0 ], [ 3.0, 4.0 ] ], [ [ 1.0, 2.0 ], [ 3.0, 4.0 ] ] ];
+ const z = [ [ [ 1.0, 2.0 ], [ 3.0, 4.0 ] ], [ [ 1.0, 2.0 ], [ 3.0, 4.0 ] ] ];
+ const out = [ [ [ 0.0, 0.0 ], [ 0.0, 0.0 ] ], [ [ 0.0, 0.0 ], [ 0.0, 0.0 ] ] ];
+
+ bternary3d( [ x, y, z, out ], 'abc', fcn ); // $ExpectError
+ bternary3d( [ x, y, z, out ], 3.14, fcn ); // $ExpectError
+ bternary3d( [ x, y, z, out ], true, fcn ); // $ExpectError
+ bternary3d( [ x, y, z, out ], false, fcn ); // $ExpectError
+ bternary3d( [ x, y, z, out ], null, fcn ); // $ExpectError
+ bternary3d( [ x, y, z, out ], [ '1' ], fcn ); // $ExpectError
+ bternary3d( [ x, y, z, out ], {}, fcn ); // $ExpectError
+ bternary3d( [ x, y, z, out ], ( x: number ): number => x, fcn ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided a third argument which is not a valid callback...
+{
+ const x = [ [ [ 1.0, 2.0 ], [ 3.0, 4.0 ] ], [ [ 1.0, 2.0 ], [ 3.0, 4.0 ] ] ];
+ const y = [ [ [ 1.0, 2.0 ], [ 3.0, 4.0 ] ], [ [ 1.0, 2.0 ], [ 3.0, 4.0 ] ] ];
+ const z = [ [ [ 1.0, 2.0 ], [ 3.0, 4.0 ] ], [ [ 1.0, 2.0 ], [ 3.0, 4.0 ] ] ];
+ const out = [ [ [ 0.0, 0.0 ], [ 0.0, 0.0 ] ], [ [ 0.0, 0.0 ], [ 0.0, 0.0 ] ] ];
+
+ const shapes: [ Array, Array, Array, Array ] = [ [ 2, 2, 2 ], [ 2, 2, 2 ], [ 2, 2, 2 ], [ 2, 2, 2 ] ];
+
+ bternary3d( [ x, y, z, out ], shapes, 'abc' ); // $ExpectError
+ bternary3d( [ x, y, z, out ], shapes, 3.14 ); // $ExpectError
+ bternary3d( [ x, y, z, out ], shapes, true ); // $ExpectError
+ bternary3d( [ x, y, z, out ], shapes, false ); // $ExpectError
+ bternary3d( [ x, y, z, out ], shapes, null ); // $ExpectError
+ bternary3d( [ x, y, z, out ], shapes, [ '1' ] ); // $ExpectError
+ bternary3d( [ x, y, z, out ], shapes, {} ); // $ExpectError
+}
+
+// The compiler throws an error if the function is provided an unsupported number of arguments...
+{
+ const x = [ [ [ 1.0, 2.0 ], [ 3.0, 4.0 ] ], [ [ 1.0, 2.0 ], [ 3.0, 4.0 ] ] ];
+ const y = [ [ [ 1.0, 2.0 ], [ 3.0, 4.0 ] ], [ [ 1.0, 2.0 ], [ 3.0, 4.0 ] ] ];
+ const z = [ [ [ 1.0, 2.0 ], [ 3.0, 4.0 ] ], [ [ 1.0, 2.0 ], [ 3.0, 4.0 ] ] ];
+ const out = [ [ [ 0.0, 0.0 ], [ 0.0, 0.0 ] ], [ [ 0.0, 0.0 ], [ 0.0, 0.0 ] ] ];
+
+ const shapes: [ Array, Array, Array, Array ] = [ [ 2, 2, 2 ], [ 2, 2, 2 ], [ 2, 2, 2 ], [ 2, 2, 2 ] ];
+
+ bternary3d(); // $ExpectError
+ bternary3d( [ x, y, z, out ] ); // $ExpectError
+ bternary3d( [ x, y, z, out ], shapes, fcn, {} ); // $ExpectError
+}
diff --git a/base/broadcasted-ternary3d/examples/index.js b/base/broadcasted-ternary3d/examples/index.js
new file mode 100644
index 00000000..ad52f91a
--- /dev/null
+++ b/base/broadcasted-ternary3d/examples/index.js
@@ -0,0 +1,47 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2024 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+* http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+'use strict';
+
+var discreteUniform = require( '@stdlib/random/base/discrete-uniform' ).factory;
+var filled3dBy = require( './../../../base/filled3d-by' );
+var zeros3d = require( './../../../base/zeros3d' );
+var add = require( '@stdlib/math/base/ops/add3' );
+var bternary3d = require( './../lib' );
+
+var shapes = [
+ [ 1, 3, 1 ],
+ [ 3, 1, 1 ],
+ [ 1, 1, 3 ],
+ [ 3, 3, 3 ]
+];
+
+var x = filled3dBy( shapes[ 0 ], discreteUniform( -100, 100 ) );
+console.log( x );
+
+var y = filled3dBy( shapes[ 1 ], discreteUniform( -100, 100 ) );
+console.log( y );
+
+var z = filled3dBy( shapes[ 2 ], discreteUniform( -100, 100 ) );
+console.log( z );
+
+var out = zeros3d( shapes[ 3 ] );
+console.log( out );
+
+bternary3d( [ x, y, z, out ], shapes, add );
+console.log( out );
diff --git a/base/broadcasted-ternary3d/lib/index.js b/base/broadcasted-ternary3d/lib/index.js
new file mode 100644
index 00000000..8b7f53b3
--- /dev/null
+++ b/base/broadcasted-ternary3d/lib/index.js
@@ -0,0 +1,57 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2024 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+* http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+'use strict';
+
+/**
+* Apply a ternary callback to elements in three broadcasted input arrays and assign results to elements in a three-dimensional nested output array.
+*
+* @module @stdlib/array/base/broadcasted-ternary3d
+*
+* @example
+* var ones3d = require( '@stdlib/array/base/ones3d' );
+* var zeros3d = require( '@stdlib/array/base/zeros3d' );
+* var add = require( '@stdlib/math/base/ops/add3' );
+* var bternary3d = require( '@stdlib/array/base/broadcasted-ternary3d' );
+*
+* var shapes = [
+* [ 1, 2, 1 ],
+* [ 2, 1, 1 ],
+* [ 1, 1, 2 ],
+* [ 2, 2, 2 ]
+* ];
+*
+* var x = ones3d( shapes[ 0 ] );
+* var y = ones3d( shapes[ 1 ] );
+* var z = ones3d( shapes[ 2 ] );
+* var out = zeros3d( shapes[ 3 ] );
+*
+* bternary3d( [ x, y, z, out ], shapes, add );
+*
+* console.log( out );
+* // => [ [ [ 3.0, 3.0 ], [ 3.0, 3.0 ] ] , [ [ 3.0, 3.0 ], [ 3.0, 3.0 ] ] ]
+*/
+
+// MODULES //
+
+var main = require( './main.js' );
+
+
+// EXPORTS //
+
+module.exports = main;
diff --git a/base/broadcasted-ternary3d/lib/main.js b/base/broadcasted-ternary3d/lib/main.js
new file mode 100644
index 00000000..51107508
--- /dev/null
+++ b/base/broadcasted-ternary3d/lib/main.js
@@ -0,0 +1,166 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2024 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+* http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+
+'use strict';
+
+// MODULES //
+
+var broadcastArray = require( './../../../base/broadcast-array' );
+
+
+// MAIN //
+
+/**
+* Applies a ternary callback to elements in three broadcasted input arrays and assigns results to elements in a three-dimensional nested output array.
+*
+* @param {ArrayLikeObject>} arrays - array-like object containing three input nested arrays and one output nested array
+* @param {ArrayLikeObject} shapes - array shapes
+* @param {Callback} fcn - ternary callback
+* @returns {void}
+*
+* @example
+* var ones3d = require( '@stdlib/array/base/ones3d' );
+* var zeros3d = require( '@stdlib/array/base/zeros3d' );
+* var add = require( '@stdlib/math/base/ops/add3' );
+*
+* var shapes = [
+* [ 1, 2, 1 ],
+* [ 2, 1, 1 ],
+* [ 1, 1, 2 ],
+* [ 2, 2, 2 ]
+* ];
+*
+* var x = ones3d( shapes[ 0 ] );
+* var y = ones3d( shapes[ 1 ] );
+* var z = ones3d( shapes[ 2 ] );
+* var out = zeros3d( shapes[ 3 ] );
+*
+* bternary3d( [ x, y, z, out ], shapes, add );
+*
+* console.log( out );
+* // => [ [ [ 3.0, 3.0 ], [ 3.0, 3.0 ] ] , [ [ 3.0, 3.0 ], [ 3.0, 3.0 ] ] ]
+*/
+function bternary3d( arrays, shapes, fcn ) {
+ var dx0;
+ var dx1;
+ var dx2;
+ var dy0;
+ var dy1;
+ var dy2;
+ var dz0;
+ var dz1;
+ var dz2;
+ var S0;
+ var S1;
+ var S2;
+ var i0;
+ var i1;
+ var i2;
+ var j0;
+ var j1;
+ var j2;
+ var k0;
+ var k1;
+ var k2;
+ var m0;
+ var m1;
+ var m2;
+ var x0;
+ var x1;
+ var y0;
+ var y1;
+ var z0;
+ var z1;
+ var sh;
+ var st;
+ var w0;
+ var w1;
+ var o;
+ var x;
+ var y;
+ var z;
+ var w;
+
+ sh = shapes[ 3 ];
+ S0 = sh[ 2 ];
+ S1 = sh[ 1 ];
+ S2 = sh[ 0 ];
+ if ( S0 <= 0 || S1 <= 0 || S2 <= 0 ) {
+ return;
+ }
+ o = broadcastArray( arrays[ 0 ], shapes[ 0 ], sh );
+ x = o.data;
+ st = o.strides;
+ dx0 = st[ 2 ];
+ dx1 = st[ 1 ];
+ dx2 = st[ 0 ];
+
+ o = broadcastArray( arrays[ 1 ], shapes[ 1 ], sh );
+ y = o.data;
+ st = o.strides;
+ dy0 = st[ 2 ];
+ dy1 = st[ 1 ];
+ dy2 = st[ 0 ];
+
+ o = broadcastArray( arrays[ 2 ], shapes[ 2 ], sh );
+ z = o.data;
+ st = o.strides;
+ dz0 = st[ 2 ];
+ dz1 = st[ 1 ];
+ dz2 = st[ 0 ];
+
+ w = arrays[ 3 ];
+ j2 = 0;
+ k2 = 0;
+ m2 = 0;
+ for ( i2 = 0; i2 < S2; i2++ ) {
+ j1 = 0;
+ k1 = 0;
+ m1 = 0;
+ x1 = x[ j2 ];
+ y1 = y[ k2 ];
+ z1 = z[ m2 ];
+ w1 = w[ i2 ];
+ for ( i1 = 0; i1 < S1; i1++ ) {
+ j0 = 0;
+ k0 = 0;
+ m0 = 0;
+ x0 = x1[ j1 ];
+ y0 = y1[ k1 ];
+ z0 = z1[ m1 ];
+ w0 = w1[ i1 ];
+ for ( i0 = 0; i0 < S0; i0++ ) {
+ w0[ i0 ] = fcn( x0[ j0 ], y0[ k0 ], z0[ m0 ] );
+ j0 += dx0;
+ k0 += dy0;
+ m0 += dz0;
+ }
+ j1 += dx1;
+ k1 += dy1;
+ m1 += dz1;
+ }
+ j2 += dx2;
+ k2 += dy2;
+ m2 += dz2;
+ }
+}
+
+
+// EXPORTS //
+
+module.exports = bternary3d;
diff --git a/base/broadcasted-ternary3d/package.json b/base/broadcasted-ternary3d/package.json
new file mode 100644
index 00000000..a8f656d5
--- /dev/null
+++ b/base/broadcasted-ternary3d/package.json
@@ -0,0 +1,67 @@
+{
+ "name": "@stdlib/array/base/broadcasted-ternary3d",
+ "version": "0.0.0",
+ "description": "Apply a ternary callback to elements in three broadcasted input arrays and assign results to elements in a three-dimensional nested output array.",
+ "license": "Apache-2.0",
+ "author": {
+ "name": "The Stdlib Authors",
+ "url": "https://github.com/stdlib-js/stdlib/graphs/contributors"
+ },
+ "contributors": [
+ {
+ "name": "The Stdlib Authors",
+ "url": "https://github.com/stdlib-js/stdlib/graphs/contributors"
+ }
+ ],
+ "main": "./lib",
+ "directories": {
+ "benchmark": "./benchmark",
+ "doc": "./docs",
+ "example": "./examples",
+ "lib": "./lib",
+ "test": "./test"
+ },
+ "types": "./docs/types",
+ "scripts": {},
+ "homepage": "https://github.com/stdlib-js/stdlib",
+ "repository": {
+ "type": "git",
+ "url": "git://github.com/stdlib-js/stdlib.git"
+ },
+ "bugs": {
+ "url": "https://github.com/stdlib-js/stdlib/issues"
+ },
+ "dependencies": {},
+ "devDependencies": {},
+ "engines": {
+ "node": ">=0.10.0",
+ "npm": ">2.7.0"
+ },
+ "os": [
+ "aix",
+ "darwin",
+ "freebsd",
+ "linux",
+ "macos",
+ "openbsd",
+ "sunos",
+ "win32",
+ "windows"
+ ],
+ "keywords": [
+ "stdlib",
+ "base",
+ "array",
+ "multidimensional",
+ "ndarray",
+ "matrix",
+ "3d",
+ "binary",
+ "apply",
+ "foreach",
+ "map",
+ "transform",
+ "broadcast"
+ ],
+ "__stdlib__": {}
+}
diff --git a/base/broadcasted-ternary3d/test/test.js b/base/broadcasted-ternary3d/test/test.js
new file mode 100644
index 00000000..b4720e57
--- /dev/null
+++ b/base/broadcasted-ternary3d/test/test.js
@@ -0,0 +1,266 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2024 The Stdlib Authors.
+*
+* Licensed under the Apache License, Version 2.0 (the "License");
+* you may not use this file except in compliance with the License.
+* You may obtain a copy of the License at
+*
+* http://www.apache.org/licenses/LICENSE-2.0
+*
+* Unless required by applicable law or agreed to in writing, software
+* distributed under the License is distributed on an "AS IS" BASIS,
+* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+* See the License for the specific language governing permissions and
+* limitations under the License.
+*/
+'use strict';
+
+// MODULES //
+
+var tape = require( 'tape' );
+var add = require( '@stdlib/math/base/ops/add3' );
+var zeros3d = require( './../../../base/zeros3d' );
+var bternary3d = require( './../lib' );
+
+
+// TESTS //
+
+tape( 'main export is a function', function test( t ) {
+ t.ok( true, __filename );
+ t.strictEqual( typeof bternary3d, 'function', 'main export is a function' );
+ t.end();
+});
+
+tape( 'the function applies a provided callback to broadcasted input arrays and assigns results to a nested output array', function test( t ) {
+ var expected;
+ var shapes;
+ var x;
+ var y;
+ var z;
+ var w;
+
+ shapes = [
+ [ 2 ],
+ [ 2, 1 ],
+ [ 2, 1, 2 ],
+ [ 2, 2, 2 ]
+ ];
+ x = [ 1.0, 2.0 ];
+ y = [
+ [ 3.0 ],
+ [ 4.0 ]
+ ];
+ z = [
+ [
+ [ 2.0, 3.0 ]
+ ],
+ [
+ [ 4.0, 4.0 ]
+ ]
+ ];
+ w = zeros3d( shapes[ 3 ] );
+
+ expected = [
+ [
+ [ 6.0, 8.0 ],
+ [ 7.0, 9.0 ]
+ ],
+ [
+ [ 8.0, 9.0 ],
+ [ 9.0, 10.0 ]
+ ]
+ ];
+ bternary3d( [ x, y, z, w ], shapes, add );
+ t.deepEqual( w, expected, 'returns expected value' );
+
+ shapes = [
+ [ 1, 2 ],
+ [ 2 ],
+ [ 1, 1, 1 ],
+ [ 2, 2, 2 ]
+ ];
+ x = [
+ [ 1.0, 2.0 ]
+ ];
+ y = [ 3.0, 4.0 ];
+ z = [
+ [
+ [ 5.0 ]
+ ]
+ ];
+ w = zeros3d( shapes[ 3 ] );
+
+ expected = [
+ [
+ [ 9.0, 11.0 ],
+ [ 9.0, 11.0 ]
+ ],
+ [
+ [ 9.0, 11.0 ],
+ [ 9.0, 11.0 ]
+ ]
+ ];
+ bternary3d( [ x, y, z, w ], shapes, add );
+ t.deepEqual( w, expected, 'returns expected value' );
+
+ // Same shapes:
+ shapes = [
+ [ 2, 2, 2 ],
+ [ 2, 2, 2 ],
+ [ 2, 2, 2 ],
+ [ 2, 2, 2 ]
+ ];
+ x = [
+ [
+ [ 1.0, 2.0 ],
+ [ 3.0, 4.0 ]
+ ],
+ [
+ [ 1.0, 2.0 ],
+ [ 3.0, 4.0 ]
+ ]
+ ];
+ y = [
+ [
+ [ 1.0, 2.0 ],
+ [ 3.0, 4.0 ]
+ ],
+ [
+ [ 1.0, 2.0 ],
+ [ 3.0, 4.0 ]
+ ]
+ ];
+ z = [
+ [
+ [ 1.0, 2.0 ],
+ [ 3.0, 4.0 ]
+ ],
+ [
+ [ 1.0, 2.0 ],
+ [ 3.0, 4.0 ]
+ ]
+ ];
+ w = zeros3d( shapes[ 3 ] );
+
+ expected = [
+ [
+ [ 3.0, 6.0 ],
+ [ 9.0, 12.0 ]
+ ],
+ [
+ [ 3.0, 6.0 ],
+ [ 9.0, 12.0 ]
+ ]
+ ];
+ bternary3d( [ x, y, z, w ], shapes, add );
+ t.deepEqual( w, expected, 'returns expected value' );
+
+ t.end();
+});
+
+tape( 'the function does not invoke a provided callback if provided an output shape having a first element equal to zero', function test( t ) {
+ var expected;
+ var shapes;
+ var x;
+ var y;
+ var z;
+ var w;
+
+ shapes = [
+ [ 1, 2, 2 ],
+ [ 1, 2, 2 ],
+ [ 1, 2, 2 ],
+ [ 0, 2, 2 ]
+ ];
+ x = [
+ [
+ [ 1.0, 2.0 ],
+ [ 3.0, 4.0 ]
+ ]
+ ];
+ y = x;
+ z = x;
+ w = zeros3d( [ 2, 2, 2 ] );
+
+ expected = zeros3d( [ 2, 2, 2 ] );
+ bternary3d( [ x, y, z, w ], shapes, clbk );
+ t.deepEqual( w, expected, 'returns expected value' );
+
+ t.end();
+
+ function clbk() {
+ t.ok( false, 'should not invoke callback' );
+ }
+});
+
+tape( 'the function does not invoke a provided callback if provided an output shape having a second element equal to zero', function test( t ) {
+ var expected;
+ var shapes;
+ var x;
+ var y;
+ var z;
+ var w;
+
+ shapes = [
+ [ 1, 2, 2 ],
+ [ 1, 2, 2 ],
+ [ 1, 2, 2 ],
+ [ 2, 0, 2 ]
+ ];
+ x = [
+ [
+ [ 1.0, 2.0 ],
+ [ 3.0, 4.0 ]
+ ]
+ ];
+ y = x;
+ z = x;
+ w = zeros3d( [ 2, 2, 2 ] );
+
+ expected = zeros3d( [ 2, 2, 2 ] );
+ bternary3d( [ x, y, z, w ], shapes, clbk );
+ t.deepEqual( w, expected, 'returns expected value' );
+
+ t.end();
+
+ function clbk() {
+ t.ok( false, 'should not invoke callback' );
+ }
+});
+
+tape( 'the function does not invoke a provided callback if provided an output shape having a third element equal to zero', function test( t ) {
+ var expected;
+ var shapes;
+ var x;
+ var y;
+ var z;
+ var w;
+
+ shapes = [
+ [ 1, 2, 2 ],
+ [ 1, 2, 2 ],
+ [ 1, 2, 2 ],
+ [ 2, 2, 0 ]
+ ];
+ x = [
+ [
+ [ 1.0, 2.0 ],
+ [ 3.0, 4.0 ]
+ ]
+ ];
+ y = x;
+ z = x;
+ w = zeros3d( [ 2, 2, 2 ] );
+
+ expected = zeros3d( [ 2, 2, 2 ] );
+ bternary3d( [ x, y, z, w ], shapes, clbk );
+ t.deepEqual( w, expected, 'returns expected value' );
+
+ t.end();
+
+ function clbk() {
+ t.ok( false, 'should not invoke callback' );
+ }
+});