|
| 1 | +<!-- |
| 2 | +
|
| 3 | +@license Apache-2.0 |
| 4 | +
|
| 5 | +Copyright (c) 2026 The Stdlib Authors. |
| 6 | +
|
| 7 | +Licensed under the Apache License, Version 2.0 (the "License"); |
| 8 | +you may not use this file except in compliance with the License. |
| 9 | +You may obtain a copy of the License at |
| 10 | +
|
| 11 | + http://www.apache.org/licenses/LICENSE-2.0 |
| 12 | +
|
| 13 | +Unless required by applicable law or agreed to in writing, software |
| 14 | +distributed under the License is distributed on an "AS IS" BASIS, |
| 15 | +WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. |
| 16 | +See the License for the specific language governing permissions and |
| 17 | +limitations under the License. |
| 18 | +
|
| 19 | +--> |
| 20 | + |
| 21 | +# dwxdy |
| 22 | + |
| 23 | +> Divide elements of a double-precision floating-point strided array `x` by the corresponding elements of a double-precision floating-point strided array `y` and assign the results to elements in a double-precision floating-point strided array `w`. |
| 24 | +
|
| 25 | +<section class="intro"> |
| 26 | + |
| 27 | +This BLAS extension implements the operation |
| 28 | + |
| 29 | +<!-- <equation class="equation" label="eq:wxdy" align="center" raw="\mathbf{w} = \mathbf{x} \oslash \mathbf{y}" alt="Equation for wxdy operation."> --> |
| 30 | + |
| 31 | +```math |
| 32 | +\mathbf{w} = \mathbf{x} \oslash \mathbf{y} |
| 33 | +``` |
| 34 | + |
| 35 | +<!-- </equation> --> |
| 36 | + |
| 37 | +where `⊘` denotes the [Hadamard division][hadamard-division]. |
| 38 | + |
| 39 | +</section> |
| 40 | + |
| 41 | +<!-- /.intro --> |
| 42 | + |
| 43 | +<section class="usage"> |
| 44 | + |
| 45 | +## Usage |
| 46 | + |
| 47 | +```javascript |
| 48 | +var dwxdy = require( '@stdlib/blas/ext/base/dwxdy' ); |
| 49 | +``` |
| 50 | + |
| 51 | +#### dwxdy( N, x, strideX, y, strideY, w, strideW ) |
| 52 | + |
| 53 | +Divides elements of a double-precision floating-point strided array `x` by the corresponding elements of a double-precision floating-point strided array `y` and assigns the results to elements in a double-precision floating-point strided array `w`. |
| 54 | + |
| 55 | +```javascript |
| 56 | +var Float64Array = require( '@stdlib/array/float64' ); |
| 57 | + |
| 58 | +var x = new Float64Array( [ 6.0, 12.0, 20.0, 30.0, 42.0 ] ); |
| 59 | +var y = new Float64Array( [ 2.0, 3.0, 4.0, 5.0, 6.0 ] ); |
| 60 | +var w = new Float64Array( [ 0.0, 0.0, 0.0, 0.0, 0.0 ] ); |
| 61 | + |
| 62 | +dwxdy( x.length, x, 1, y, 1, w, 1 ); |
| 63 | +// w => <Float64Array>[ 3.0, 4.0, 5.0, 6.0, 7.0 ] |
| 64 | +``` |
| 65 | + |
| 66 | +The function has the following parameters: |
| 67 | + |
| 68 | +- **N**: number of indexed elements. |
| 69 | +- **x**: first input [`Float64Array`][@stdlib/array/float64]. |
| 70 | +- **strideX**: stride length for `x`. |
| 71 | +- **y**: second input [`Float64Array`][@stdlib/array/float64]. |
| 72 | +- **strideY**: stride length for `y`. |
| 73 | +- **w**: output [`Float64Array`][@stdlib/array/float64]. |
| 74 | +- **strideW**: stride length for `w`. |
| 75 | + |
| 76 | +The `N` and stride parameters determine which elements in the strided arrays are accessed at runtime. For example, to divide every other element of `x` by every other element of `y`: |
| 77 | + |
| 78 | +```javascript |
| 79 | +var Float64Array = require( '@stdlib/array/float64' ); |
| 80 | + |
| 81 | +var x = new Float64Array( [ 6.0, 1.0, 20.0, 1.0, 42.0, 1.0 ] ); |
| 82 | +var y = new Float64Array( [ 2.0, 1.0, 4.0, 1.0, 6.0, 1.0 ] ); |
| 83 | +var w = new Float64Array( [ 0.0, 0.0, 0.0, 0.0, 0.0, 0.0 ] ); |
| 84 | + |
| 85 | +dwxdy( 3, x, 2, y, 2, w, 2 ); |
| 86 | +// w => <Float64Array>[ 3.0, 0.0, 5.0, 0.0, 7.0, 0.0 ] |
| 87 | +``` |
| 88 | + |
| 89 | +Note that indexing is relative to the first index. To introduce an offset, use [`typed array`][mdn-typed-array] views. |
| 90 | + |
| 91 | +```javascript |
| 92 | +var Float64Array = require( '@stdlib/array/float64' ); |
| 93 | + |
| 94 | +// Initial arrays... |
| 95 | +var x0 = new Float64Array( [ 1.0, 6.0, 12.0, 20.0, 1.0, 1.0 ] ); |
| 96 | +var y0 = new Float64Array( [ 1.0, 2.0, 3.0, 4.0, 1.0, 1.0 ] ); |
| 97 | +var w0 = new Float64Array( [ 0.0, 0.0, 0.0, 0.0, 0.0, 0.0 ] ); |
| 98 | + |
| 99 | +// Create offset views... |
| 100 | +var x1 = new Float64Array( x0.buffer, x0.BYTES_PER_ELEMENT*1 ); // start at 2nd element |
| 101 | +var y1 = new Float64Array( y0.buffer, y0.BYTES_PER_ELEMENT*1 ); // start at 2nd element |
| 102 | +var w1 = new Float64Array( w0.buffer, w0.BYTES_PER_ELEMENT*1 ); // start at 2nd element |
| 103 | + |
| 104 | +dwxdy( 3, x1, 1, y1, 1, w1, 1 ); |
| 105 | +// w0 => <Float64Array>[ 0.0, 3.0, 4.0, 5.0, 0.0, 0.0 ] |
| 106 | +``` |
| 107 | + |
| 108 | +<!-- lint disable maximum-heading-length --> |
| 109 | + |
| 110 | +#### dwxdy.ndarray( N, x, strideX, offsetX, y, strideY, offsetY, w, strideW, offsetW ) |
| 111 | + |
| 112 | +<!-- lint enable maximum-heading-length --> |
| 113 | + |
| 114 | +Divides elements of a double-precision floating-point strided array `x` by the corresponding elements of a double-precision floating-point strided array `y` and assigns the results to elements in a double-precision floating-point strided array `w` using alternative indexing semantics. |
| 115 | + |
| 116 | +```javascript |
| 117 | +var Float64Array = require( '@stdlib/array/float64' ); |
| 118 | + |
| 119 | +var x = new Float64Array( [ 6.0, 12.0, 20.0, 30.0, 42.0 ] ); |
| 120 | +var y = new Float64Array( [ 2.0, 3.0, 4.0, 5.0, 6.0 ] ); |
| 121 | +var w = new Float64Array( [ 0.0, 0.0, 0.0, 0.0, 0.0 ] ); |
| 122 | + |
| 123 | +dwxdy.ndarray( x.length, x, 1, 0, y, 1, 0, w, 1, 0 ); |
| 124 | +// w => <Float64Array>[ 3.0, 4.0, 5.0, 6.0, 7.0 ] |
| 125 | +``` |
| 126 | + |
| 127 | +The function has the following additional parameters: |
| 128 | + |
| 129 | +- **offsetX**: starting index for `x`. |
| 130 | +- **offsetY**: starting index for `y`. |
| 131 | +- **offsetW**: starting index for `w`. |
| 132 | + |
| 133 | +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 divide the last three elements of `x` by the last three elements of `y` and assign to the last three elements of `w`: |
| 134 | + |
| 135 | +```javascript |
| 136 | +var Float64Array = require( '@stdlib/array/float64' ); |
| 137 | + |
| 138 | +var x = new Float64Array( [ 1.0, 2.0, 6.0, 20.0, 42.0 ] ); |
| 139 | +var y = new Float64Array( [ 1.0, 2.0, 2.0, 4.0, 6.0 ] ); |
| 140 | +var w = new Float64Array( [ 0.0, 0.0, 0.0, 0.0, 0.0 ] ); |
| 141 | + |
| 142 | +dwxdy.ndarray( 3, x, 1, x.length-3, y, 1, y.length-3, w, 1, w.length-3 ); |
| 143 | +// w => <Float64Array>[ 0.0, 0.0, 3.0, 5.0, 7.0 ] |
| 144 | +``` |
| 145 | + |
| 146 | +</section> |
| 147 | + |
| 148 | +<!-- /.usage --> |
| 149 | + |
| 150 | +<section class="notes"> |
| 151 | + |
| 152 | +## Notes |
| 153 | + |
| 154 | +- If `N <= 0`, both functions return `w` unchanged. |
| 155 | + |
| 156 | +</section> |
| 157 | + |
| 158 | +<!-- /.notes --> |
| 159 | + |
| 160 | +<section class="examples"> |
| 161 | + |
| 162 | +## Examples |
| 163 | + |
| 164 | +<!-- eslint no-undef: "error" --> |
| 165 | + |
| 166 | +```javascript |
| 167 | +var discreteUniform = require( '@stdlib/random/array/discrete-uniform' ); |
| 168 | +var logEach = require( '@stdlib/console/log-each' ); |
| 169 | +var dwxdy = require( '@stdlib/blas/ext/base/dwxdy' ); |
| 170 | + |
| 171 | +var opts = { |
| 172 | + 'dtype': 'float64' |
| 173 | +}; |
| 174 | +var x = discreteUniform( 10, -100, 100, opts ); |
| 175 | +var y = discreteUniform( 10, 1, 100, opts ); |
| 176 | +var w = discreteUniform( 10, -100, 100, opts ); |
| 177 | + |
| 178 | +dwxdy( x.length, x, 1, y, 1, w, 1 ); |
| 179 | +logEach( '%d / %d = %0.4f', x, y, w ); |
| 180 | +``` |
| 181 | + |
| 182 | +</section> |
| 183 | + |
| 184 | +<!-- /.examples --> |
| 185 | + |
| 186 | +<!-- C interface documentation. --> |
| 187 | + |
| 188 | +* * * |
| 189 | + |
| 190 | +<section class="c"> |
| 191 | + |
| 192 | +## C APIs |
| 193 | + |
| 194 | +<!-- Section to include introductory text. Make sure to keep an empty line after the intro `section` element and another before the `/section` close. --> |
| 195 | + |
| 196 | +<section class="intro"> |
| 197 | + |
| 198 | +</section> |
| 199 | + |
| 200 | +<!-- /.intro --> |
| 201 | + |
| 202 | +<!-- C usage documentation. --> |
| 203 | + |
| 204 | +<section class="usage"> |
| 205 | + |
| 206 | +### Usage |
| 207 | + |
| 208 | +```c |
| 209 | +#include "stdlib/blas/ext/base/dwxdy.h" |
| 210 | +``` |
| 211 | + |
| 212 | +#### stdlib_strided_dwxdy( N, \*X, strideX, \*Y, strideY, \*W, strideW ) |
| 213 | + |
| 214 | +Divides elements of a double-precision floating-point strided array `X` by the corresponding elements of a double-precision floating-point strided array `Y` and assigns the results to elements in a double-precision floating-point strided array `W`. |
| 215 | + |
| 216 | +```c |
| 217 | +const double x[] = { 6.0, 12.0, 20.0, 30.0 }; |
| 218 | +const double y[] = { 2.0, 3.0, 4.0, 5.0 }; |
| 219 | +double w[] = { 0.0, 0.0, 0.0, 0.0 }; |
| 220 | + |
| 221 | +stdlib_strided_dwxdy( 4, x, 1, y, 1, w, 1 ); |
| 222 | +``` |
| 223 | +
|
| 224 | +The function accepts the following arguments: |
| 225 | +
|
| 226 | +- **N**: `[in] CBLAS_INT` number of indexed elements. |
| 227 | +- **X**: `[in] double*` first input array. |
| 228 | +- **strideX**: `[in] CBLAS_INT` stride length for `X`. |
| 229 | +- **Y**: `[in] double*` second input array. |
| 230 | +- **strideY**: `[in] CBLAS_INT` stride length for `Y`. |
| 231 | +- **W**: `[out] double*` output array. |
| 232 | +- **strideW**: `[in] CBLAS_INT` stride length for `W`. |
| 233 | +
|
| 234 | +```c |
| 235 | +void stdlib_strided_dwxdy( const CBLAS_INT N, const double *X, const CBLAS_INT strideX, const double *Y, const CBLAS_INT strideY, double *W, const CBLAS_INT strideW ); |
| 236 | +``` |
| 237 | + |
| 238 | +<!-- lint disable maximum-heading-length --> |
| 239 | + |
| 240 | +#### stdlib_strided_dwxdy_ndarray( N, \*X, strideX, offsetX, \*Y, strideY, offsetY, \*W, strideW, offsetW ) |
| 241 | + |
| 242 | +<!-- lint enable maximum-heading-length --> |
| 243 | + |
| 244 | +Divides elements of a double-precision floating-point strided array `X` by the corresponding elements of a double-precision floating-point strided array `Y` and assigns the results to elements in a double-precision floating-point strided array `W` using alternative indexing semantics. |
| 245 | + |
| 246 | +```c |
| 247 | +const double x[] = { 6.0, 12.0, 20.0, 30.0 }; |
| 248 | +const double y[] = { 2.0, 3.0, 4.0, 5.0 }; |
| 249 | +double w[] = { 0.0, 0.0, 0.0, 0.0 }; |
| 250 | + |
| 251 | +stdlib_strided_dwxdy_ndarray( 4, x, 1, 0, y, 1, 0, w, 1, 0 ); |
| 252 | +``` |
| 253 | +
|
| 254 | +The function accepts the following arguments: |
| 255 | +
|
| 256 | +- **N**: `[in] CBLAS_INT` number of indexed elements. |
| 257 | +- **X**: `[in] double*` first input array. |
| 258 | +- **strideX**: `[in] CBLAS_INT` stride length for `X`. |
| 259 | +- **offsetX**: `[in] CBLAS_INT` starting index for `X`. |
| 260 | +- **Y**: `[in] double*` second input array. |
| 261 | +- **strideY**: `[in] CBLAS_INT` stride length for `Y`. |
| 262 | +- **offsetY**: `[in] CBLAS_INT` starting index for `Y`. |
| 263 | +- **W**: `[out] double*` output array. |
| 264 | +- **strideW**: `[in] CBLAS_INT` stride length for `W`. |
| 265 | +- **offsetW**: `[in] CBLAS_INT` starting index for `W`. |
| 266 | +
|
| 267 | +```c |
| 268 | +void stdlib_strided_dwxdy_ndarray( const CBLAS_INT N, const double *X, const CBLAS_INT strideX, const CBLAS_INT offsetX, const double *Y, const CBLAS_INT strideY, const CBLAS_INT offsetY, double *W, const CBLAS_INT strideW, const CBLAS_INT offsetW ); |
| 269 | +``` |
| 270 | + |
| 271 | +</section> |
| 272 | + |
| 273 | +<!-- /.usage --> |
| 274 | + |
| 275 | +<!-- C API usage notes. Make sure to keep an empty line after the `section` element and another before the `/section` close. --> |
| 276 | + |
| 277 | +<section class="notes"> |
| 278 | + |
| 279 | +</section> |
| 280 | + |
| 281 | +<!-- /.notes --> |
| 282 | + |
| 283 | +<!-- C API usage examples. --> |
| 284 | + |
| 285 | +<section class="examples"> |
| 286 | + |
| 287 | +### Examples |
| 288 | + |
| 289 | +```c |
| 290 | +#include "stdlib/blas/ext/base/dwxdy.h" |
| 291 | +#include <stdio.h> |
| 292 | + |
| 293 | +int main( void ) { |
| 294 | + // Create strided arrays: |
| 295 | + const double x[] = { 1.0, -2.0, 3.0, -4.0, 5.0, -6.0, 7.0, -8.0 }; |
| 296 | + const double y[] = { 2.0, 3.0, 4.0, 5.0, 6.0, 7.0, 8.0, 9.0 }; |
| 297 | + double w[] = { 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0, 0.0 }; |
| 298 | + |
| 299 | + // Specify the number of indexed elements: |
| 300 | + const int N = 8; |
| 301 | + |
| 302 | + // Specify strides: |
| 303 | + const int strideX = 1; |
| 304 | + const int strideY = 1; |
| 305 | + const int strideW = 1; |
| 306 | + |
| 307 | + // Divide elements of `x` by the corresponding elements of `y` and assign the results to elements in `w`: |
| 308 | + stdlib_strided_dwxdy( N, x, strideX, y, strideY, w, strideW ); |
| 309 | + |
| 310 | + // Print the result: |
| 311 | + for ( int i = 0; i < 8; i++ ) { |
| 312 | + printf( "w[ %i ] = %lf\n", i, w[ i ] ); |
| 313 | + } |
| 314 | +} |
| 315 | +``` |
| 316 | +
|
| 317 | +</section> |
| 318 | +
|
| 319 | +<!-- /.examples --> |
| 320 | +
|
| 321 | +</section> |
| 322 | +
|
| 323 | +<!-- /.c --> |
| 324 | +
|
| 325 | +<!-- Section for related `stdlib` packages. Do not manually edit this section, as it is automatically populated. --> |
| 326 | +
|
| 327 | +<section class="related"> |
| 328 | +
|
| 329 | +</section> |
| 330 | +
|
| 331 | +<!-- /.related --> |
| 332 | +
|
| 333 | +<!-- Section for all links. Make sure to keep an empty line after the `section` element and another before the `/section` close. --> |
| 334 | +
|
| 335 | +<section class="links"> |
| 336 | +
|
| 337 | +[@stdlib/array/float64]: https://github.com/stdlib-js/array-float64 |
| 338 | +
|
| 339 | +[hadamard-division]: https://en.wikipedia.org/wiki/Hadamard_product_(matrices)#Analogous_operations |
| 340 | +
|
| 341 | +[mdn-typed-array]: https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Global_Objects/TypedArray |
| 342 | +
|
| 343 | +<!-- <related-links> --> |
| 344 | +
|
| 345 | +<!-- </related-links> --> |
| 346 | +
|
| 347 | +</section> |
| 348 | +
|
| 349 | +<!-- /.links --> |
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