|
| 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 | +# sediff |
| 22 | + |
| 23 | +> Calculate the differences between consecutive elements of a single-precision floating-point strided array. |
| 24 | +
|
| 25 | +<section class="usage"> |
| 26 | + |
| 27 | +## Usage |
| 28 | + |
| 29 | +```javascript |
| 30 | +var sediff = require( '@stdlib/blas/ext/base/sediff' ); |
| 31 | +``` |
| 32 | + |
| 33 | +<!-- lint disable maximum-heading-length --> |
| 34 | + |
| 35 | +#### sediff( N, x, strideX, N1, prepend, strideP, N2, append, strideA, out, strideOut ) |
| 36 | + |
| 37 | +<!-- lint enable maximum-heading-length --> |
| 38 | + |
| 39 | +Calculates the differences between consecutive elements of a single-precision floating-point strided array. |
| 40 | + |
| 41 | +```javascript |
| 42 | +var Float32Array = require( '@stdlib/array/float32' ); |
| 43 | + |
| 44 | +var x = new Float32Array( [ 2.0, 4.0, 6.0, 8.0, 10.0 ] ); |
| 45 | +var p = new Float32Array( [ 1.0 ] ); |
| 46 | +var a = new Float32Array( [ 11.0 ] ); |
| 47 | +var out = new Float32Array( 6 ); |
| 48 | + |
| 49 | +sediff( x.length, x, 1, 1, p, 1, 1, a, 1, out, 1 ); |
| 50 | +// out => <Float32Array>[ 1.0, 2.0, 2.0, 2.0, 2.0, 11.0 ] |
| 51 | +``` |
| 52 | + |
| 53 | +The function has the following parameters: |
| 54 | + |
| 55 | +- **N**: number of indexed elements. |
| 56 | +- **x**: input [`Float32Array`][@stdlib/array/float32]. |
| 57 | +- **strideX**: stride length for `x`. |
| 58 | +- **N1**: number of indexed elements to prepend. |
| 59 | +- **prepend**: a [`Float32Array`][@stdlib/array/float32] containing values to prepend after computing differences. |
| 60 | +- **strideP**: stride length for `prepend`. |
| 61 | +- **N2**: number of indexed elements to append. |
| 62 | +- **append**: a [`Float32Array`][@stdlib/array/float32] containing values to append after computing differences. |
| 63 | +- **strideA**: stride length for `append`. |
| 64 | +- **out**: output [`Float32Array`][@stdlib/array/float32]. Must have `N + N1 + N2 - 1` indexed elements. |
| 65 | +- **strideOut**: stride length for `out`. |
| 66 | + |
| 67 | +The `N` and stride parameters determine which elements in the strided array are accessed at runtime. For example, to compute differences of every other element: |
| 68 | + |
| 69 | +```javascript |
| 70 | +var Float32Array = require( '@stdlib/array/float32' ); |
| 71 | + |
| 72 | +var x = new Float32Array( [ 2.0, 4.0, 6.0, 8.0, 10.0 ] ); |
| 73 | +var p = new Float32Array( [ 1.0 ] ); |
| 74 | +var a = new Float32Array( [ 11.0 ] ); |
| 75 | +var out = new Float32Array( 4 ); |
| 76 | + |
| 77 | +sediff( 3, x, 2, 1, p, 1, 1, a, 1, out, 1 ); |
| 78 | +// out => <Float32Array>[ 1.0, 4.0, 4.0, 11.0 ] |
| 79 | +``` |
| 80 | + |
| 81 | +Note that indexing is relative to the first index. To introduce an offset, use [`typed array`][mdn-typed-array] views. |
| 82 | + |
| 83 | +```javascript |
| 84 | +var Float32Array = require( '@stdlib/array/float32' ); |
| 85 | + |
| 86 | +// Initial array... |
| 87 | +var x0 = new Float32Array( [ 2.0, 4.0, 6.0, 8.0, 10.0 ] ); |
| 88 | + |
| 89 | +// Create an offset view... |
| 90 | +var x1 = new Float32Array( x0.buffer, x0.BYTES_PER_ELEMENT*1 ); // start at 2nd element |
| 91 | + |
| 92 | +var p = new Float32Array( [ 1.0 ] ); |
| 93 | +var a = new Float32Array( [ 11.0 ] ); |
| 94 | +var out = new Float32Array( 5 ); |
| 95 | + |
| 96 | +sediff( x1.length, x1, 1, 1, p, 1, 1, a, 1, out, 1 ); |
| 97 | +// out => <Float32Array>[ 1.0, 2.0, 2.0, 2.0, 11.0 ] |
| 98 | +``` |
| 99 | + |
| 100 | +<!-- lint disable maximum-heading-length --> |
| 101 | + |
| 102 | +#### sediff.ndarray( N, x, strideX, offsetX, N1, prepend, strideP, offsetP, N2, append, strideA, offsetA, out, strideOut, offsetOut ) |
| 103 | + |
| 104 | +<!-- lint enable maximum-heading-length --> |
| 105 | + |
| 106 | +Calculates the differences between consecutive elements of a single-precision floating-point strided array using alternative indexing semantics. |
| 107 | + |
| 108 | +```javascript |
| 109 | +var Float32Array = require( '@stdlib/array/float32' ); |
| 110 | + |
| 111 | +var x = new Float32Array( [ 2.0, 4.0, 6.0, 8.0, 10.0 ] ); |
| 112 | +var p = new Float32Array( [ 1.0 ] ); |
| 113 | +var a = new Float32Array( [ 11.0 ] ); |
| 114 | +var out = new Float32Array( 6 ); |
| 115 | + |
| 116 | +sediff.ndarray( x.length, x, 1, 0, 1, p, 1, 0, 1, a, 1, 0, out, 1, 0 ); |
| 117 | +// out => <Float32Array>[ 1.0, 2.0, 2.0, 2.0, 2.0, 11.0 ] |
| 118 | +``` |
| 119 | + |
| 120 | +The function has the following additional parameters: |
| 121 | + |
| 122 | +- **offsetX**: starting index for `x`. |
| 123 | +- **offsetP**: starting index for `prepend`. |
| 124 | +- **offsetA**: starting index for `append`. |
| 125 | +- **offsetOut**: starting index for `out`. |
| 126 | + |
| 127 | +While [`typed array`][mdn-typed-array] views mandate a view offset based on the underlying buffer, offset parameters support indexing semantics based on starting indices. For example, to access only the last three elements: |
| 128 | + |
| 129 | +```javascript |
| 130 | +var Float32Array = require( '@stdlib/array/float32' ); |
| 131 | + |
| 132 | +var x = new Float32Array( [ 2.0, 4.0, 6.0, 8.0, 10.0 ] ); |
| 133 | +var p = new Float32Array( [ 1.0 ] ); |
| 134 | +var a = new Float32Array( [ 11.0 ] ); |
| 135 | +var out = new Float32Array( 4 ); |
| 136 | + |
| 137 | +sediff.ndarray( 3, x, 1, x.length-3, 1, p, 1, 0, 1, a, 1, 0, out, 1, 0 ); |
| 138 | +// out => <Float32Array>[ 1.0, 2.0, 2.0, 11.0 ] |
| 139 | +``` |
| 140 | + |
| 141 | +</section> |
| 142 | + |
| 143 | +<!-- /.usage --> |
| 144 | + |
| 145 | +<section class="notes"> |
| 146 | + |
| 147 | +## Notes |
| 148 | + |
| 149 | +- If `N + N1 + N2 <= 1`, both functions return the output array unchanged. |
| 150 | + |
| 151 | +</section> |
| 152 | + |
| 153 | +<!-- /.notes --> |
| 154 | + |
| 155 | +<section class="examples"> |
| 156 | + |
| 157 | +## Examples |
| 158 | + |
| 159 | +<!-- eslint no-undef: "error" --> |
| 160 | + |
| 161 | +```javascript |
| 162 | +var discreteUniform = require( '@stdlib/random/array/discrete-uniform' ); |
| 163 | +var Float32Array = require( '@stdlib/array/float32' ); |
| 164 | +var sediff = require( '@stdlib/blas/ext/base/sediff' ); |
| 165 | + |
| 166 | +var x = discreteUniform( 10, -100, 100, { |
| 167 | + 'dtype': 'float32' |
| 168 | +}); |
| 169 | +console.log( 'Input array:', x ); |
| 170 | + |
| 171 | +var p = discreteUniform( 2, -100, 100, { |
| 172 | + 'dtype': 'float32' |
| 173 | +}); |
| 174 | +console.log( 'Prepend array:', p ); |
| 175 | + |
| 176 | +var a = discreteUniform( 2, -100, 100, { |
| 177 | + 'dtype': 'float32' |
| 178 | +}); |
| 179 | +console.log( 'Append array:', a ); |
| 180 | + |
| 181 | +var out = new Float32Array( 13 ); |
| 182 | + |
| 183 | +sediff( x.length, x, 1, 2, p, 1, 2, a, 1, out, 1 ); |
| 184 | +console.log( 'Output:', out ); |
| 185 | +``` |
| 186 | + |
| 187 | +</section> |
| 188 | + |
| 189 | +<!-- /.examples --> |
| 190 | + |
| 191 | +<!-- C interface documentation. --> |
| 192 | + |
| 193 | +* * * |
| 194 | + |
| 195 | +<section class="c"> |
| 196 | + |
| 197 | +## C APIs |
| 198 | + |
| 199 | +<!-- Section to include introductory text. Make sure to keep an empty line after the intro `section` element and another before the `/section` close. --> |
| 200 | + |
| 201 | +<section class="intro"> |
| 202 | + |
| 203 | +</section> |
| 204 | + |
| 205 | +<!-- /.intro --> |
| 206 | + |
| 207 | +<!-- C usage documentation. --> |
| 208 | + |
| 209 | +<section class="usage"> |
| 210 | + |
| 211 | +### Usage |
| 212 | + |
| 213 | +```c |
| 214 | +#include "stdlib/blas/ext/base/sediff.h" |
| 215 | +``` |
| 216 | + |
| 217 | +<!-- lint disable maximum-heading-length --> |
| 218 | + |
| 219 | +#### stdlib_strided_sediff( N, \*X, strideX, N1, \*Prepend, strideP, N2, \*Append, strideA, \*Out, strideOut ) |
| 220 | + |
| 221 | +<!-- lint enable maximum-heading-length --> |
| 222 | + |
| 223 | +Calculates the differences between consecutive elements of a single-precision floating-point strided array. |
| 224 | + |
| 225 | +```c |
| 226 | +const float x[] = { 2.0f, 4.0f, 6.0f, 8.0f, 10.0f }; |
| 227 | +const float p[] = { 1.0f }; |
| 228 | +const float a[] = { 11.0f }; |
| 229 | +float out[] = { 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f }; |
| 230 | + |
| 231 | +stdlib_strided_sediff( 5, x, 1, 1, p, 1, 1, a, 1, out, 1 ); |
| 232 | +``` |
| 233 | +
|
| 234 | +The function accepts the following arguments: |
| 235 | +
|
| 236 | +- **N**: `[in] CBLAS_INT` number of indexed elements. |
| 237 | +- **X**: `[in] float` input [`Float32Array`][@stdlib/array/float32]. |
| 238 | +- **strideX**: `[in] CBLAS_INT` stride length for `X`. |
| 239 | +- **N1**: `[in] CBLAS_INT` number of indexed elements to prepend. |
| 240 | +- **Prepend**: `[in] float` a [`Float32Array`][@stdlib/array/float32] containing values to prepend after computing differences. |
| 241 | +- **strideP**: `[in] CBLAS_INT` stride length for `Prepend`. |
| 242 | +- **N2**: `[in] CBLAS_INT` number of indexed elements to append. |
| 243 | +- **Append**: `[in] float` a [`Float32Array`][@stdlib/array/float32] containing values to append after computing differences. |
| 244 | +- **strideA**: `[in] CBLAS_INT` stride length for `Append`. |
| 245 | +- **Out**: `[out] float` output [`Float32Array`][@stdlib/array/float32]. Must have `N + N1 + N2 - 1` indexed elements. |
| 246 | +- **strideOut**: `[in] CBLAS_INT` stride length for `Out`. |
| 247 | +
|
| 248 | +```c |
| 249 | +void stdlib_strided_sediff( const CBLAS_INT N, const float *X, const CBLAS_INT strideX, const CBLAS_INT N1, const float *Prepend, const CBLAS_INT strideP, const CBLAS_INT N2, const float *Append, const CBLAS_INT strideA, float *Out, const CBLAS_INT strideOut ); |
| 250 | +``` |
| 251 | + |
| 252 | +<!-- lint disable maximum-heading-length --> |
| 253 | + |
| 254 | +#### stdlib_strided_sediff_ndarray( N, \*X, strideX, offsetX, N1, \*Prepend, strideP, offsetP, N2, \*Append, strideA, offsetA, \*Out, strideOut, offsetOut ) |
| 255 | + |
| 256 | +<!-- lint enable maximum-heading-length --> |
| 257 | + |
| 258 | +Calculates the differences between consecutive elements of a single-precision floating-point strided array using alternative indexing semantics. |
| 259 | + |
| 260 | +```c |
| 261 | +const float x[] = { 2.0f, 4.0f, 6.0f, 8.0f, 10.0f }; |
| 262 | +const float p[] = { 1.0f }; |
| 263 | +const float a[] = { 11.0f }; |
| 264 | +float out[] = { 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f }; |
| 265 | + |
| 266 | +stdlib_strided_sediff_ndarray( 5, x, 1, 0, 1, p, 1, 0, 1, a, 1, 0, out, 1, 0 ); |
| 267 | +``` |
| 268 | +
|
| 269 | +The function accepts the following arguments: |
| 270 | +
|
| 271 | +- **N**: `[in] CBLAS_INT` number of indexed elements. |
| 272 | +- **X**: `[in] float` input [`Float32Array`][@stdlib/array/float32]. |
| 273 | +- **strideX**: `[in] CBLAS_INT` stride length for `X`. |
| 274 | +- **offsetX**: `[in] CBLAS_INT` starting index for `X`. |
| 275 | +- **N1**: `[in] CBLAS_INT` number of indexed elements to prepend. |
| 276 | +- **Prepend**: `[in] float` a [`Float32Array`][@stdlib/array/float32] containing values to prepend after computing differences. |
| 277 | +- **strideP**: `[in] CBLAS_INT` stride length for `Prepend`. |
| 278 | +- **offsetP**: `[in] CBLAS_INT` starting index for `Prepend`. |
| 279 | +- **N2**: `[in] CBLAS_INT` number of indexed elements to append. |
| 280 | +- **Append**: `[in] float` a [`Float32Array`][@stdlib/array/float32] containing values to append after computing differences. |
| 281 | +- **strideA**: `[in] CBLAS_INT` stride length for `Append`. |
| 282 | +- **offsetA**: `[in] CBLAS_INT` starting index for `Append`. |
| 283 | +- **Out**: `[out] float` output [`Float32Array`][@stdlib/array/float32]. Must have `N + N1 + N2 - 1` indexed elements. |
| 284 | +- **strideOut**: `[in] CBLAS_INT` stride length for `Out`. |
| 285 | +- **offsetOut**: `[in] CBLAS_INT` starting index for `Out`. |
| 286 | +
|
| 287 | +```c |
| 288 | +void stdlib_strided_sediff_ndarray( const CBLAS_INT N, const float *X, const CBLAS_INT strideX, const CBLAS_INT offsetX, const CBLAS_INT N1, const float *Prepend, const CBLAS_INT strideP, const CBLAS_INT offsetP, const CBLAS_INT N2, const float *Append, const CBLAS_INT strideA, const CBLAS_INT offsetA, float *Out, const CBLAS_INT strideOut, const CBLAS_INT offsetOut ); |
| 289 | +``` |
| 290 | + |
| 291 | +</section> |
| 292 | + |
| 293 | +<!-- /.usage --> |
| 294 | + |
| 295 | +<!-- C API usage notes. Make sure to keep an empty line after the `section` element and another before the `/section` close. --> |
| 296 | + |
| 297 | +<section class="notes"> |
| 298 | + |
| 299 | +</section> |
| 300 | + |
| 301 | +<!-- /.notes --> |
| 302 | + |
| 303 | +<!-- C API usage examples. --> |
| 304 | + |
| 305 | +<section class="examples"> |
| 306 | + |
| 307 | +### Examples |
| 308 | + |
| 309 | +```c |
| 310 | +#include "stdlib/blas/ext/base/sediff.h" |
| 311 | +#include <stdio.h> |
| 312 | + |
| 313 | +int main( void ) { |
| 314 | + // Create a strided array: |
| 315 | + const float x[] = { 1.0f, -2.0f, 3.0f, -4.0f, 5.0f, -6.0f, 7.0f, -8.0f }; |
| 316 | + |
| 317 | + // Define a list of values to prepend: |
| 318 | + const float p[] = { -1.0f }; |
| 319 | + |
| 320 | + // Define a list of values to append: |
| 321 | + const float a[] = { 10.0f }; |
| 322 | + |
| 323 | + // Define an output array: |
| 324 | + float out[] = { 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f, 0.0f }; |
| 325 | + |
| 326 | + // Compute forward differences: |
| 327 | + stdlib_strided_sediff( 8, x, 1, 1, p, 1, 1, a, 1, out, 1 ); |
| 328 | + |
| 329 | + // Print the result: |
| 330 | + for ( int i = 0; i < 9; i++ ) { |
| 331 | + printf( "out[ %i ] = %f\n", i, out[ i ] ); |
| 332 | + } |
| 333 | +} |
| 334 | +``` |
| 335 | +
|
| 336 | +</section> |
| 337 | +
|
| 338 | +<!-- /.examples --> |
| 339 | +
|
| 340 | +</section> |
| 341 | +
|
| 342 | +<!-- /.c --> |
| 343 | +
|
| 344 | +<!-- Section for related `stdlib` packages. Do not manually edit this section, as it is automatically populated. --> |
| 345 | +
|
| 346 | +<section class="related"> |
| 347 | +
|
| 348 | +</section> |
| 349 | +
|
| 350 | +<!-- /.related --> |
| 351 | +
|
| 352 | +<!-- Section for all links. Make sure to keep an empty line after the `section` element and another before the `/section` close. --> |
| 353 | +
|
| 354 | +<section class="links"> |
| 355 | +
|
| 356 | +[@stdlib/array/float32]: https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/array/float32 |
| 357 | +
|
| 358 | +[mdn-typed-array]: https://developer.mozilla.org/en-US/docs/Web/JavaScript/Reference/Global_Objects/TypedArray |
| 359 | +
|
| 360 | +<!-- <related-links> --> |
| 361 | +
|
| 362 | +<!-- </related-links> --> |
| 363 | +
|
| 364 | +</section> |
| 365 | +
|
| 366 | +<!-- /.links --> |
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