feat: add reduce method to array/complex64

PR-URL: 	#1271
Co-authored-by: Athan Reines <kgryte@gmail.com>
Reviewed-by: Athan Reines <kgryte@gmail.com> 
Signed-off-by: Athan Reines <kgryte@gmail.com>

lib/node_modules/@stdlib/array/complex64/README.md

@@ -1622,6 +1622,60 @@ var count = context.count;
 // returns 3
 ```
 
+<a name="method-reduce"></a>
+
+#### Complex64Array.prototype.reduce( reducerFn\[, initialValue] )
+
+Applies a provided callback function to each element of the array, in order, passing in the return value from the calculation on the preceding element and returning the accumulated result upon completion.
+
+```javascript
+var realf = require( '@stdlib/complex/realf' );
+var imagf = require( '@stdlib/complex/imagf' );
+var caddf = require( '@stdlib/math/base/ops/caddf' );
+
+var arr = new Complex64Array( 3 );
+
+arr.set( [ 1.0, 1.0 ], 0 );
+arr.set( [ 2.0, 2.0 ], 1 );
+arr.set( [ 3.0, 3.0 ], 2 );
+
+var z = arr.reduce( caddf );
+// returns <Complex64>
+
+var re = realf( z );
+// returns 6.0
+
+var im = imagf( z );
+// returns 6.0
+```
+
+The reducer function is provided four arguments:
+
+-   **acc**: accumulated result.
+-   **value**: current array element.
+-   **index**: current array element index.
+-   **arr**: the array on which this method was called.
+
+By default, the function initializes the accumulated result to the first element in the array and passes the second array element as `value` during the first invocation of the provided callback. To begin accumulation from a different starting value and pass in the first array element as `value` during the first invocation of the provided callback, provide an `initialValue` argument.
+
+```javascript
+var realf = require( '@stdlib/complex/realf' );
+
+function reducer( acc, v ) {
+    acc += realf( v );
+    return acc;
+}
+
+var arr = new Complex64Array( 3 );
+
+arr.set( [ 1.0, 1.0 ], 0 );
+arr.set( [ 2.0, 2.0 ], 1 );
+arr.set( [ 3.0, 3.0 ], 2 );
+
+var z = arr.reduce( reducer, 0.0 );
+// returns 6.0
+```
+
 <a name="method-reverse"></a>
 
 #### Complex64Array.prototype.reverse()

lib/node_modules/@stdlib/array/complex64/benchmark/benchmark.reduce.js

@@ -0,0 +1,52 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2023 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 caddf = require( '@stdlib/math/base/ops/caddf' );
+var isComplexLike = require('@stdlib/assert/is-complex-like');
+var pkg = require( './../package.json' ).name;
+var Complex64Array = require( './../lib' );
+
+
+// MAIN //
+
+bench( pkg+':reduce', function benchmark( b ) {
+	var out;
+	var arr;
+	var i;
+
+	arr = new Complex64Array( [ 1, 2, 3, 4, 5, 6 ] );
+
+	b.tic();
+	for ( i = 0; i < b.iterations; i++ ) {
+		out = arr.reduce( caddf );
+		if ( typeof out !== 'object' ) {
+			b.fail( 'should return an object' );
+		}
+	}
+	b.toc();
+	if ( !isComplexLike( out ) ) {
+		b.fail( 'should return a complex number' );
+	}
+	b.pass( 'benchmark finished' );
+	b.end();
+});

lib/node_modules/@stdlib/array/complex64/benchmark/benchmark.reduce.length.js

@@ -0,0 +1,104 @@
+/**
+* @license Apache-2.0
+*
+* Copyright (c) 2023 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 pow = require( '@stdlib/math/base/special/pow' );
+var caddf = require( '@stdlib/math/base/ops/caddf' );
+var isComplexLike = require('@stdlib/assert/is-complex-like');
+var Complex64 = require( '@stdlib/complex/float32' );
+var pkg = require( './../package.json' ).name;
+var Complex64Array = require( './../lib' );
+
+
+// FUNCTIONS //
+
+/**
+* Creates a benchmark function.
+*
+* @private
+* @param {PositiveInteger} len - array length
+* @returns {Function} benchmark function
+*/
+function createBenchmark( len ) {
+	var arr;
+	var i;
+
+	arr = [];
+	for ( i = 0; i < len; i++ ) {
+		arr.push( new Complex64( i, i ) );
+	}
+	arr = new Complex64Array( arr );
+
+	return benchmark;
+
+	/**
+	* Benchmark function.
+	*
+	* @private
+	* @param {Benchmark} b - benchmark instance
+	*/
+	function benchmark( b ) {
+		var out;
+		var i;
+
+		b.tic();
+		for ( i = 0; i < b.iterations; i++ ) {
+			out = arr.reduce( caddf );
+			if ( typeof out !== 'object' ) {
+				b.fail( 'should return an object' );
+			}
+		}
+		b.toc();
+		if ( !isComplexLike( out ) ) {
+			b.fail( 'should return a complex number' );
+		}
+		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+':reduce:len='+len, f );
+	}
+}
+
+main();

lib/node_modules/@stdlib/array/complex64/docs/types/index.d.ts

@@ -195,6 +195,60 @@ type TernaryMapFcn<U> = ( this: U, value: Complex64, index: number, arr: Complex
 */
 type MapFcn<U> = NullaryMapFcn<U> | UnaryMapFcn<U> | BinaryMapFcn<U> | TernaryMapFcn<U>;
 
+/**
+* Reducer function invoked for each element in an array.
+*
+* @returns accumulated result
+*/
+type NullaryReducer<U> = () => U;
+
+/**
+* Reducer function invoked for each element in an array.
+*
+* @param acc - accumulated result
+* @returns accumulated result
+*/
+type UnaryReducer<U> = ( acc: U ) => U;
+
+/**
+* Reducer function invoked for each element in an array.
+*
+* @param acc - accumulated result
+* @param value - current array element
+* @returns accumulated result
+*/
+type BinaryReducer<U> = ( acc: U, value: Complex64 ) => U;
+
+/**
+* Reducer function invoked for each element in an array.
+*
+* @param acc - accumulated result
+* @param value - current array element
+* @param index - current array element index
+* @returns accumulated result
+*/
+type TernaryReducer<U> = ( acc: U, value: Complex64, index: number ) => U;
+
+/**
+* @param acc - accumulated result
+* @param value - current array element
+* @param index - current array element index
+* @param arr - array on which the method was called
+* @returns accumulated result
+*/
+type QuaternaryReducer<U> = ( acc: U, value: Complex64, index: number, arr: Complex64Array ) => U;
+
+/**
+* Reducer function invoked for each element in an array.
+*
+* @param acc - accumulated result
+* @param value - current array element
+* @param index - current array element index
+* @param arr - array on which the method was called
+* @returns accumulated result
+*/
+type Reducer<U> = NullaryReducer<U> | UnaryReducer<U> | BinaryReducer<U> | TernaryReducer<U> | QuaternaryReducer<U>;
+
 /**
 * Class for creating a 64-bit complex number array.
 */
@@ -813,6 +867,35 @@ declare class Complex64Array implements Complex64ArrayInterface {
 	*/
 	map<U = unknown>( fcn: MapFcn<U>, thisArg?: ThisParameterType<MapFcn<U>> ): Complex64Array;
 
+	/**
+	* Applies a provided callback function to each element of the array, in order, passing in the return value from the calculation on the preceding element and returning the accumulated result upon completion.
+	*
+	* @param reducer - callback function
+	* @param initialValue - initial value
+	* @returns accumulated result
+	*
+	* @example
+	* var realf = require( '@stdlib/complex/realf' );
+	* var imagf = require( '@stdlib/complex/imagf' );
+	* var caddf = require( '@stdlib/math/base/ops/caddf' );
+	*
+	* var arr = new Complex64Array( 3 );
+	*
+	* arr.set( [ 1.0, 1.0 ], 0 );
+	* arr.set( [ 2.0, 2.0 ], 1 );
+	* arr.set( [ 3.0, 3.0 ], 2 );
+	*
+	* var z = arr.reduce( caddf );
+	* // returns <Complex64>
+	*
+	* var re = realf( z );
+	* // returns 6.0
+	*
+	* var im = imagf( z );
+	* // returns 6.0
+	*/
+	reduce<U = unknown>( reducer: Reducer<U>, initialValue?: U ): U;
+
 	/**
 	* Reverses an array in-place.
 	*

lib/node_modules/@stdlib/array/complex64/lib/main.js

@@ -1699,6 +1699,71 @@ setReadOnly( Complex64Array.prototype, 'map', function map( fcn, thisArg ) {
 	return out;
 });
 
+/**
+* Applies a provided callback function to each element of the array, in order, passing in the return value from the calculation on the preceding element and returning the accumulated result upon completion.
+*
+* @name reduce
+* @memberof Complex64Array.prototype
+* @type {Function}
+* @param {Function} reducer - callback function
+* @param {*} [initialValue] - initial value
+* @throws {TypeError} `this` must be a complex number array
+* @throws {TypeError} first argument must be a function
+* @throws {Error} if not provided an initial value, the array must have at least one element
+* @returns {*} accumulated result
+*
+* @example
+* var realf = require( '@stdlib/complex/realf' );
+* var imagf = require( '@stdlib/complex/imagf' );
+* var caddf = require( '@stdlib/math/base/ops/caddf' );
+*
+* var arr = new Complex64Array( 3 );
+*
+* arr.set( [ 1.0, 1.0 ], 0 );
+* arr.set( [ 2.0, 2.0 ], 1 );
+* arr.set( [ 3.0, 3.0 ], 2 );
+*
+* var z = arr.reduce( caddf );
+* // returns <Complex64>
+*
+* var re = realf( z );
+* // returns 6.0
+*
+* var im = imagf( z );
+* // returns 6.0
+*/
+setReadOnly( Complex64Array.prototype, 'reduce', function reduce( reducer, initialValue ) {
+	var buf;
+	var acc;
+	var len;
+	var v;
+	var i;
+
+	if ( !isComplexArray( this ) ) {
+		throw new TypeError( 'invalid invocation. `this` is not a complex number array.' );
+	}
+	if ( !isFunction( reducer ) ) {
+		throw new TypeError( format( 'invalid argument. First argument must be a function. Value: `%s`.', reducer ) );
+	}
+	buf = this._buffer;
+	len = this._length;
+	if ( arguments.length > 1 ) {
+		acc = initialValue;
+		i = 0;
+	} else {
+		if ( len === 0 ) {
+			throw new Error( 'invalid operation. If not provided an initial value, an array must contain at least one element.' );
+		}
+		acc = getComplex64( buf, 0 );
+		i = 1;
+	}
+	for ( ; i < len; i++ ) {
+		v = getComplex64( buf, i );
+		acc = reducer( acc, v, i, this );
+	}
+	return acc;
+});
+
 /**
 * Reverses an array in-place.
 *