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feat: add blas/ext/last-index-equal
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281
lib/node_modules/@stdlib/blas/ext/last-index-equal/README.md
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| <!-- | ||
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| @license Apache-2.0 | ||
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| Copyright (c) 2026 The Stdlib Authors. | ||
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| 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 | ||
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| http://www.apache.org/licenses/LICENSE-2.0 | ||
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| 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. | ||
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| --> | ||
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| # lastIndexEqual | ||
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| > Return the index of the last element in an [ndarray][@stdlib/ndarray/ctor] which is equal to a corresponding element in another [ndarray][@stdlib/ndarray/ctor] along an [ndarray][@stdlib/ndarray/ctor] dimension. | ||
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| <section class="usage"> | ||
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| ## Usage | ||
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| ```javascript | ||
| var lastIndexEqual = require( '@stdlib/blas/ext/last-index-equal' ); | ||
| ``` | ||
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| #### lastIndexEqual( x, y\[, fromIndex]\[, options] ) | ||
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| Returns the index of the last element in an [ndarray][@stdlib/ndarray/ctor] which is equal to a corresponding element in another [ndarray][@stdlib/ndarray/ctor] along an [ndarray][@stdlib/ndarray/ctor] dimension. | ||
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| ```javascript | ||
| var scalar2ndarray = require( '@stdlib/ndarray/from-scalar' ); | ||
| var array = require( '@stdlib/ndarray/array' ); | ||
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| // Create an input ndarray: | ||
| var x = array( [ 0.0, 2.0, 0.0, 4.0, 5.0, 6.0 ] ); | ||
| // returns <ndarray> | ||
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| // Create a second input ndarray: | ||
| var y = scalar2ndarray( 0.0, { | ||
| 'dtype': 'float64' | ||
| }); | ||
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| // Perform operation: | ||
| var out = lastIndexEqual( x, y ); | ||
| // returns <ndarray>[ 2 ] | ||
| ``` | ||
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| The function has the following parameters: | ||
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| - **x**: first input [ndarray][@stdlib/ndarray/ctor]. Must have at least one dimension. | ||
| - **y**: second input [ndarray][@stdlib/ndarray/ctor]. Must have a shape which is [broadcast-compatible][@stdlib/ndarray/base/broadcast-shapes] with the shape of the first input [ndarray][@stdlib/ndarray/ctor]. | ||
| - **fromIndex**: index from which to begin searching (_optional_). May be either a scalar value or an [ndarray][@stdlib/ndarray/ctor] having an integer index or "generic" [data type][@stdlib/ndarray/dtypes]. If provided an [ndarray][@stdlib/ndarray/ctor], the value must have a shape which is [broadcast-compatible][@stdlib/ndarray/base/broadcast-shapes] with the non-reduced dimensions of the input [ndarray][@stdlib/ndarray/ctor]. For example, given the input shape `[2, 3, 4]` and `options.dim=0`, a provided [ndarray][@stdlib/ndarray/ctor] must have a shape which is [broadcast-compatible][@stdlib/ndarray/base/broadcast-shapes] with the shape `[3, 4]`. If provided a negative integer, the index at which to begin searching along a dimension is determined by counting backward from the last element (where `-1` refers to the last element). Default: `-1`. | ||
| - **options**: function options (_optional_). | ||
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| The function accepts the following options: | ||
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| - **dtype**: output ndarray [data type][@stdlib/ndarray/dtypes]. Must be an integer index or generic [data type][@stdlib/ndarray/dtypes]. | ||
| - **dim**: dimension over which to perform operation. If provided a negative integer, the dimension along which to perform the operation is determined by counting backward from the last dimension (where `-1` refers to the last dimension). Default: `-1`. | ||
| - **keepdims**: boolean indicating whether the reduced dimensions should be included in the returned [ndarray][@stdlib/ndarray/ctor] as singleton dimensions. Default: `false`. | ||
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| If the function is unable to find an element which is equal to a corresponding element in the second input [ndarray][@stdlib/ndarray/ctor] along an [ndarray][@stdlib/ndarray/ctor] dimension, the corresponding element in the returned [ndarray][@stdlib/ndarray/ctor] is `-1`. | ||
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| ```javascript | ||
| var scalar2ndarray = require( '@stdlib/ndarray/from-scalar' ); | ||
| var array = require( '@stdlib/ndarray/array' ); | ||
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| // Create an input ndarray: | ||
| var x = array( [ 1.0, 2.0, 3.0, 4.0 ] ); | ||
| // returns <ndarray> | ||
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| // Create a second input ndarray: | ||
| var y = scalar2ndarray( 0.0, { | ||
| 'dtype': 'float64' | ||
| }); | ||
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| // Perform operation: | ||
| var out = lastIndexEqual( x, y ); | ||
| // returns <ndarray>[ -1 ] | ||
| ``` | ||
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| By default, the function begins searching from the last element along the reduction dimension. To begin searching from a different index, provide a `fromIndex` argument. | ||
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| ```javascript | ||
| var scalar2ndarray = require( '@stdlib/ndarray/from-scalar' ); | ||
| var array = require( '@stdlib/ndarray/array' ); | ||
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| // Create an input ndarray: | ||
| var x = array( [ 0.0, 2.0, 0.0, 0.0, 2.0, 6.0 ] ); | ||
| // returns <ndarray> | ||
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| // Create a second input ndarray: | ||
| var y = scalar2ndarray( 0.0, { | ||
| 'dtype': 'float64' | ||
| }); | ||
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| // Perform operation: | ||
| var out = lastIndexEqual( x, y, 1 ); | ||
| // returns <ndarray>[ 0 ] | ||
| ``` | ||
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| By default, the function performs the operation over elements in the last dimension. To perform the operation over a different dimension, provide a `dim` option. | ||
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| ```javascript | ||
| var scalar2ndarray = require( '@stdlib/ndarray/from-scalar' ); | ||
| var array = require( '@stdlib/ndarray/array' ); | ||
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| var x = array( [ [ 0.0, 2.0 ], [ 0.0, 4.0 ] ] ); | ||
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| var y = scalar2ndarray( 0.0, { | ||
| 'dtype': 'float64' | ||
| }); | ||
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| var out = lastIndexEqual( x, y, { | ||
| 'dim': 0 | ||
| }); | ||
| // returns <ndarray>[ 1, -1 ] | ||
| ``` | ||
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| By default, the function excludes reduced dimensions from the output [ndarray][@stdlib/ndarray/ctor]. To include the reduced dimensions as singleton dimensions, set the `keepdims` option to `true`. | ||
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| ```javascript | ||
| var scalar2ndarray = require( '@stdlib/ndarray/from-scalar' ); | ||
| var array = require( '@stdlib/ndarray/array' ); | ||
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| var x = array( [ [ 0.0, 2.0 ], [ 0.0, 4.0 ] ] ); | ||
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| var y = scalar2ndarray( 0.0, { | ||
| 'dtype': 'float64' | ||
| }); | ||
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| var opts = { | ||
| 'dim': 0, | ||
| 'keepdims': true | ||
| }; | ||
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| var out = lastIndexEqual( x, y, opts ); | ||
| // returns <ndarray>[ [ 1, -1 ] ] | ||
| ``` | ||
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| By default, the function returns an [ndarray][@stdlib/ndarray/ctor] having a [data type][@stdlib/ndarray/dtypes] determined by the function's output data type [policy][@stdlib/ndarray/output-dtype-policies]. To override the default behavior, set the `dtype` option. | ||
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| ```javascript | ||
| var scalar2ndarray = require( '@stdlib/ndarray/from-scalar' ); | ||
| var dtype = require( '@stdlib/ndarray/dtype' ); | ||
| var array = require( '@stdlib/ndarray/array' ); | ||
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| var x = array( [ 1.0, 0.0, 3.0, 4.0 ] ); | ||
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| var y = scalar2ndarray( 0.0, { | ||
| 'dtype': 'float64' | ||
| }); | ||
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| var idx = lastIndexEqual( x, y, { | ||
| 'dtype': 'generic' | ||
| }); | ||
| // returns <ndarray> | ||
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| var dt = String( dtype( idx ) ); | ||
| // returns 'generic' | ||
| ``` | ||
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| #### lastIndexEqual.assign( x, y\[, fromIndex], out\[, options] ) | ||
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| Returns the index of the last element in an [ndarray][@stdlib/ndarray/ctor] which is equal to a corresponding element in another [ndarray][@stdlib/ndarray/ctor] along an [ndarray][@stdlib/ndarray/ctor] dimension and assigns results to a provided output [ndarray][@stdlib/ndarray/ctor]. | ||
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| ```javascript | ||
| var scalar2ndarray = require( '@stdlib/ndarray/from-scalar' ); | ||
| var array = require( '@stdlib/ndarray/array' ); | ||
| var zeros = require( '@stdlib/ndarray/zeros' ); | ||
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| var x = array( [ 0.0, 2.0, 0.0, 4.0 ] ); | ||
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| var y = scalar2ndarray( 0.0, { | ||
| 'dtype': 'float64' | ||
| }); | ||
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| var z = zeros( [], { | ||
| 'dtype': 'int32' | ||
| }); | ||
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| var out = lastIndexEqual.assign( x, y, z ); | ||
| // returns <ndarray>[ 2 ] | ||
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| var bool = ( out === z ); | ||
| // returns true | ||
| ``` | ||
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| The method has the following parameters: | ||
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| - **x**: first input [ndarray][@stdlib/ndarray/ctor]. Must have at least one dimension. | ||
| - **y**: second input [ndarray][@stdlib/ndarray/ctor]. Must have a shape which is [broadcast-compatible][@stdlib/ndarray/base/broadcast-shapes] with the shape of the first input [ndarray][@stdlib/ndarray/ctor]. | ||
| - **fromIndex**: index from which to begin searching (_optional_). May be either a scalar value or an [ndarray][@stdlib/ndarray/ctor] having an integer index or "generic" [data type][@stdlib/ndarray/dtypes]. If provided an [ndarray][@stdlib/ndarray/ctor], the value must have a shape which is [broadcast-compatible][@stdlib/ndarray/base/broadcast-shapes] with the non-reduced dimensions of the input [ndarray][@stdlib/ndarray/ctor]. For example, given the input shape `[2, 3, 4]` and `options.dim=0`, a provided [ndarray][@stdlib/ndarray/ctor] must have a shape which is [broadcast-compatible][@stdlib/ndarray/base/broadcast-shapes] with the shape `[3, 4]`. If provided a negative integer, the index at which to begin searching along a dimension is determined by counting backward from the last element (where `-1` refers to the last element). Default: `-1`. | ||
| - **out**: output [ndarray][@stdlib/ndarray/ctor]. | ||
| - **options**: function options (_optional_). | ||
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| The method accepts the following options: | ||
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| - **dim**: dimension over which to perform operation. If provided a negative integer, the dimension along which to perform the operation is determined by counting backward from the last dimension (where `-1` refers to the last dimension). Default: `-1`. | ||
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| </section> | ||
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| <!-- /.usage --> | ||
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| <section class="notes"> | ||
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| ## Notes | ||
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| - When comparing elements, the function checks for equality using the strict equality operator `===`. As a consequence, `NaN` values are considered distinct, and `-0` and `+0` are considered the same. | ||
| - Setting the `keepdims` option to `true` can be useful when wanting to ensure that the output [ndarray][@stdlib/ndarray/ctor] is [broadcast-compatible][@stdlib/ndarray/base/broadcast-shapes] with ndarrays having the same shape as the input [ndarray][@stdlib/ndarray/ctor]. | ||
| - The output data type [policy][@stdlib/ndarray/output-dtype-policies] only applies to the main function and specifies that, by default, the function must return an [ndarray][@stdlib/ndarray/ctor] having an integer index or "generic" [data type][@stdlib/ndarray/dtypes]. For the `assign` method, the output [ndarray][@stdlib/ndarray/ctor] is allowed to have any supported output [data type][@stdlib/ndarray/dtypes]. | ||
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| </section> | ||
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| <!-- /.notes --> | ||
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| <section class="examples"> | ||
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| ## Examples | ||
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| <!-- eslint no-undef: "error" --> | ||
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| ```javascript | ||
| var discreteUniform = require( '@stdlib/random/discrete-uniform' ); | ||
| var scalar2ndarray = require( '@stdlib/ndarray/from-scalar' ); | ||
| var ndarray2array = require( '@stdlib/ndarray/to-array' ); | ||
| var lastIndexEqual = require( '@stdlib/blas/ext/last-index-equal' ); | ||
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| // Generate an ndarray of random numbers: | ||
| var x = discreteUniform( [ 5, 2 ], 0, 5, { | ||
| 'dtype': 'float64' | ||
| }); | ||
| console.log( ndarray2array( x ) ); | ||
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| // Create a second input ndarray: | ||
| var y = scalar2ndarray( 2.0, { | ||
| 'dtype': 'float64' | ||
| }); | ||
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| // Perform operation: | ||
| var idx = lastIndexEqual( x, y, { | ||
| 'dim': 0 | ||
| }); | ||
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| // Print the results: | ||
| console.log( ndarray2array( idx ) ); | ||
| ``` | ||
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| </section> | ||
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| <!-- /.examples --> | ||
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| <!-- Section for related `stdlib` packages. Do not manually edit this section, as it is automatically populated. --> | ||
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| <section class="related"> | ||
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| </section> | ||
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| <!-- /.related --> | ||
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| <!-- Section for all links. Make sure to keep an empty line after the `section` element and another before the `/section` close. --> | ||
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| <section class="links"> | ||
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| [@stdlib/ndarray/ctor]: https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/ndarray/ctor | ||
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| [@stdlib/ndarray/dtypes]: https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/ndarray/dtypes | ||
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| [@stdlib/ndarray/output-dtype-policies]: https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/ndarray/output-dtype-policies | ||
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| [@stdlib/ndarray/base/broadcast-shapes]: https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/ndarray/base/broadcast-shapes | ||
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| </section> | ||
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| <!-- /.links --> | ||
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113
lib/node_modules/@stdlib/blas/ext/last-index-equal/benchmark/benchmark.assign.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. | ||
| */ | ||
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| 'use strict'; | ||
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| // MODULES // | ||
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| var bench = require( '@stdlib/bench' ); | ||
| var isnan = require( '@stdlib/math/base/assert/is-nan' ); | ||
| var pow = require( '@stdlib/math/base/special/pow' ); | ||
| var uniform = require( '@stdlib/random/uniform' ); | ||
| var scalar2ndarray = require( '@stdlib/ndarray/from-scalar' ); | ||
| var zeros = require( '@stdlib/ndarray/zeros' ); | ||
| var format = require( '@stdlib/string/format' ); | ||
| var pkg = require( './../package.json' ).name; | ||
| var lastIndexEqual = require( './../lib' ); | ||
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| // VARIABLES // | ||
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| var options = { | ||
| 'dtype': 'float64' | ||
| }; | ||
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| // FUNCTIONS // | ||
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| /** | ||
| * Creates a benchmark function. | ||
| * | ||
| * @private | ||
| * @param {PositiveInteger} len - array length | ||
| * @returns {Function} benchmark function | ||
| */ | ||
| function createBenchmark( len ) { | ||
| var out; | ||
| var x; | ||
| var y; | ||
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| x = uniform( [ len ], -50.0, 50.0, options ); | ||
| y = scalar2ndarray( -100.0, options ); | ||
| out = zeros( [], { | ||
| 'dtype': 'int32' | ||
| }); | ||
| return benchmark; | ||
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| /** | ||
| * Benchmark function. | ||
| * | ||
| * @private | ||
| * @param {Benchmark} b - benchmark instance | ||
| */ | ||
| function benchmark( b ) { | ||
| var o; | ||
| var i; | ||
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| b.tic(); | ||
| for ( i = 0; i < b.iterations; i++ ) { | ||
| o = lastIndexEqual.assign( x, y, out ); | ||
| if ( typeof o !== 'object' ) { | ||
| b.fail( 'should return an ndarray' ); | ||
| } | ||
| } | ||
| b.toc(); | ||
| if ( isnan( o.get() ) ) { | ||
| b.fail( 'should not return NaN' ); | ||
| } | ||
| b.pass( 'benchmark finished' ); | ||
| b.end(); | ||
| } | ||
| } | ||
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| // MAIN // | ||
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| /** | ||
| * Main execution sequence. | ||
| * | ||
| * @private | ||
| */ | ||
| function main() { | ||
| var len; | ||
| var min; | ||
| var max; | ||
| var f; | ||
| var i; | ||
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| min = 1; // 10^min | ||
| max = 6; // 10^max | ||
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| for ( i = min; i <= max; i++ ) { | ||
| len = pow( 10, i ); | ||
| f = createBenchmark( len ); | ||
| bench( format( '%s:assign:dtype=%s,len=%d', pkg, options.dtype, len ), f ); | ||
| } | ||
| } | ||
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| main(); | ||
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FTR: the alternative to requiring that
yis broadcast compat withxis forxandyto broadcast to a common shape. However, I think this is the correct decision given the behavior of the function; e.g., ifxandybroadcast to a common shape, thenxcould be 0d, but then the returned indices would be the indices in the virtualized array which is a bit non-intuitive. If a user wants that sort of behavior, they can explicitly broadcast inputs to a common shape before calling this function.There was a problem hiding this comment.
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cc @batpigandme Tagging you here given my recent statements during office hours. Namely, broadcasting is not necessarily required between input ndarrays; although, this is the general rule for things like arithmetic operations.