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| 1 | +<!-- |
| 2 | +
|
| 3 | +@license Apache-2.0 |
| 4 | +
|
| 5 | +Copyright (c) 2025 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 | +# muladd |
| 22 | + |
| 23 | +> Perform a multiply-add operation involving three single-precision complex floating-point numbers. |
| 24 | +
|
| 25 | +<section class="intro"> |
| 26 | + |
| 27 | +</section> |
| 28 | + |
| 29 | +<!-- /.intro --> |
| 30 | + |
| 31 | +<section class="usage"> |
| 32 | + |
| 33 | +## Usage |
| 34 | + |
| 35 | +```javascript |
| 36 | +var muladd = require( '@stdlib/complex/float32/base/mul-add' ); |
| 37 | +``` |
| 38 | + |
| 39 | +#### muladd( alpha, x, y ) |
| 40 | + |
| 41 | +Performs a multiply-add operation involving three single-precision complex floating-point numbers. |
| 42 | + |
| 43 | +```javascript |
| 44 | +var Complex64 = require( '@stdlib/complex/float32/ctor' ); |
| 45 | +var realf = require( '@stdlib/complex/float32/real' ); |
| 46 | +var imagf = require( '@stdlib/complex/float32/imag' ); |
| 47 | + |
| 48 | +var z1 = new Complex64( 5.0, 3.0 ); |
| 49 | +var z2 = new Complex64( -2.0, 1.0 ); |
| 50 | +var z3 = new Complex64( 7.0, -8.0 ); |
| 51 | + |
| 52 | +// Compute `alpha*x + y`: |
| 53 | +var v = muladd( z1, z2, z3 ); |
| 54 | +// returns <Complex64> |
| 55 | + |
| 56 | +var re = realf( v ); |
| 57 | +// returns -6.0 |
| 58 | + |
| 59 | +var im = imagf( v ); |
| 60 | +// returns -9.0 |
| 61 | +``` |
| 62 | + |
| 63 | +The function supports the following parameters: |
| 64 | + |
| 65 | +- **alpha**: first [complex number][@stdlib/complex/float32/ctor] |
| 66 | +- **x**: second [complex number][@stdlib/complex/float32/ctor]. |
| 67 | +- **y**: third [complex number][@stdlib/complex/float32/ctor]. |
| 68 | + |
| 69 | +#### muladd.assign( ar, ai, xr, xi, yr, yi, out, strideOut, offsetOut ) |
| 70 | + |
| 71 | +Performs a multiply-add operation involving three single-precision complex floating-point numbers and assigns the results to an output strided array. |
| 72 | + |
| 73 | +```javascript |
| 74 | +var Float32Array = require( '@stdlib/array/float32' ); |
| 75 | + |
| 76 | +var out = new Float32Array( 2 ); |
| 77 | +var v = muladd.assign( 5.0, 3.0, -2.0, 1.0, 7.0, -8.0, out, 1, 0 ); |
| 78 | +// returns <Float32Array>[ -6.0, -9.0 ] |
| 79 | + |
| 80 | +var bool = ( out === v ); |
| 81 | +// returns true |
| 82 | +``` |
| 83 | + |
| 84 | +The function supports the following parameters: |
| 85 | + |
| 86 | +- **ar**: real component of the first complex number. |
| 87 | +- **ai**: imaginary component of the first complex number. |
| 88 | +- **xr**: real component of the second complex number. |
| 89 | +- **xi**: imaginary component of the second complex number. |
| 90 | +- **yr**: real component of the third complex number. |
| 91 | +- **yi**: imaginary component of the third complex number. |
| 92 | +- **out**: output array. |
| 93 | +- **strideOut**: stride length for `out`. |
| 94 | +- **offsetOut**: starting index for `out`. |
| 95 | + |
| 96 | +#### muladd.strided( alpha, sa, oa, x, sx, ox, y, sy, oy, out, so, oo ) |
| 97 | + |
| 98 | +Performs a multiply-add operation involving three single-precision complex floating-point numbers stored in real-valued strided array views and assigns results to a provided strided output array. |
| 99 | + |
| 100 | +```javascript |
| 101 | +var Float32Array = require( '@stdlib/array/float32' ); |
| 102 | + |
| 103 | +var z1 = new Float32Array( [ 5.0, 3.0 ] ); |
| 104 | +var z2 = new Float32Array( [ -2.0, 1.0 ] ); |
| 105 | +var z3 = new Float32Array( [ 7.0, -8.0 ] ); |
| 106 | +var out = new Float32Array( 2 ); |
| 107 | + |
| 108 | +var v = muladd.strided( z1, 1, 0, z2, 1, 0, z3, 1, 0, out, 1, 0 ); |
| 109 | +// returns <Float32Array>[ -6.0, -9.0 ] |
| 110 | + |
| 111 | +var bool = ( out === v ); |
| 112 | +// returns true |
| 113 | +``` |
| 114 | + |
| 115 | +The function supports the following parameters: |
| 116 | + |
| 117 | +- **alpha**: first complex number strided array view. |
| 118 | +- **sa**: stride length for `alpha`. |
| 119 | +- **oa**: starting index for `alpha`. |
| 120 | +- **x**: second complex number strided array view. |
| 121 | +- **sx**: stride length for `x`. |
| 122 | +- **ox**: starting index for `x`. |
| 123 | +- **y**: third complex number strided array view. |
| 124 | +- **sy**: stride length for `y`. |
| 125 | +- **oy**: starting index for `y`. |
| 126 | +- **out**: output array. |
| 127 | +- **so**: stride length for `out`. |
| 128 | +- **oo**: starting index for `out`. |
| 129 | + |
| 130 | +</section> |
| 131 | + |
| 132 | +<!-- /.usage --> |
| 133 | + |
| 134 | +<section class="examples"> |
| 135 | + |
| 136 | +## Examples |
| 137 | + |
| 138 | +<!-- eslint no-undef: "error" --> |
| 139 | + |
| 140 | +```javascript |
| 141 | +var Complex64 = require( '@stdlib/complex/float32/ctor' ); |
| 142 | +var discreteUniform = require( '@stdlib/random/base/discrete-uniform' ).factory; |
| 143 | +var muladd = require( '@stdlib/complex/float32/base/mul-add' ); |
| 144 | + |
| 145 | +var rand = discreteUniform( -50, 50 ); |
| 146 | + |
| 147 | +var z1; |
| 148 | +var z2; |
| 149 | +var z3; |
| 150 | +var i; |
| 151 | +for ( i = 0; i < 100; i++ ) { |
| 152 | + z1 = new Complex64( rand(), rand() ); |
| 153 | + z2 = new Complex64( rand(), rand() ); |
| 154 | + z3 = muladd( z1, z2, z2 ); |
| 155 | + console.log( '(%s)*(%s) + (%s) = %s', z1.toString(), z2.toString(), z2.toString(), z3.toString() ); |
| 156 | +} |
| 157 | +``` |
| 158 | + |
| 159 | +</section> |
| 160 | + |
| 161 | +<!-- /.examples --> |
| 162 | + |
| 163 | +<!-- C interface documentation. --> |
| 164 | + |
| 165 | +* * * |
| 166 | + |
| 167 | +<section class="c"> |
| 168 | + |
| 169 | +## C APIs |
| 170 | + |
| 171 | +<!-- Section to include introductory text. Make sure to keep an empty line after the intro `section` element and another before the `/section` close. --> |
| 172 | + |
| 173 | +<section class="intro"> |
| 174 | + |
| 175 | +</section> |
| 176 | + |
| 177 | +<!-- /.intro --> |
| 178 | + |
| 179 | +<!-- C usage documentation. --> |
| 180 | + |
| 181 | +<section class="usage"> |
| 182 | + |
| 183 | +### Usage |
| 184 | + |
| 185 | +```c |
| 186 | +#include "stdlib/complex/float32/base/mul_add.h" |
| 187 | +``` |
| 188 | + |
| 189 | +#### stdlib_base_complex64_muladd( alpha, x, y ) |
| 190 | + |
| 191 | +Performs a multiply-add operation involving three single-precision complex floating-point numbers. |
| 192 | + |
| 193 | +```c |
| 194 | +#include "stdlib/complex/float32/ctor.h" |
| 195 | +#include "stdlib/complex/float32/real.h" |
| 196 | +#include "stdlib/complex/float32/imag.h" |
| 197 | + |
| 198 | +stdlib_complex64_t z1 = sstdlib_complex64( 5.0, 3.0 ); |
| 199 | +stdlib_complex64_t z2 = sstdlib_complex64( -2.0, 1.0 ); |
| 200 | +stdlib_complex64_t z3 = sstdlib_complex64( 7.0, -8.0 ); |
| 201 | + |
| 202 | +stdlib_complex64_t out = stdlib_base_complex64_muladd( z1, z2, z3 ); |
| 203 | + |
| 204 | +double re = stdlib_complex128_real( out ); |
| 205 | +// returns -6.0 |
| 206 | + |
| 207 | +double im = stdlib_complex128_imag( out ); |
| 208 | +// returns -9.0 |
| 209 | +``` |
| 210 | + |
| 211 | +The function accepts the following arguments: |
| 212 | + |
| 213 | +- **alpha**: `[in] stdlib_complex64_t` input value. |
| 214 | +- **z1**: `[in] stdlib_complex64_t` input value. |
| 215 | +- **z2**: `[in] stdlib_complex64_t` input value. |
| 216 | + |
| 217 | +```c |
| 218 | +stdlib_complex64_t stdlib_base_complex64_muladd( const stdlib_complex64_t alpha, const stdlib_complex64_t x, const stdlib_complex64_t y ); |
| 219 | +``` |
| 220 | +
|
| 221 | +</section> |
| 222 | +
|
| 223 | +<!-- /.usage --> |
| 224 | +
|
| 225 | +<!-- C API usage notes. Make sure to keep an empty line after the `section` element and another before the `/section` close. --> |
| 226 | +
|
| 227 | +<section class="notes"> |
| 228 | +
|
| 229 | +</section> |
| 230 | +
|
| 231 | +<!-- /.notes --> |
| 232 | +
|
| 233 | +<!-- C API usage examples. --> |
| 234 | +
|
| 235 | +<section class="examples"> |
| 236 | +
|
| 237 | +### Examples |
| 238 | +
|
| 239 | +```c |
| 240 | +#include "stdlib/complex/float32/base/mul_add.h" |
| 241 | +#include "stdlib/complex/float32/ctor.h" |
| 242 | +#include "stdlib/complex/float32/reim.h" |
| 243 | +#include <stdio.h> |
| 244 | +
|
| 245 | +int main( void ) { |
| 246 | + const stdlib_complex64_t x[] = { |
| 247 | + stdlib_complex64( 3.14, 1.5 ), |
| 248 | + stdlib_complex64( -3.14, 1.5 ), |
| 249 | + stdlib_complex64( 0.0, -0.0 ), |
| 250 | + stdlib_complex64( 0.0/0.0, 0.0/0.0 ) |
| 251 | + }; |
| 252 | +
|
| 253 | + stdlib_complex64_t v; |
| 254 | + stdlib_complex64_t y; |
| 255 | + double re; |
| 256 | + double im; |
| 257 | + int i; |
| 258 | + for ( i = 0; i < 4; i++ ) { |
| 259 | + v = x[ i ]; |
| 260 | + stdlib_complex64_reim( v, &re, &im ); |
| 261 | + printf( "z = %f + %fi\n", re, im ); |
| 262 | +
|
| 263 | + y = stdlib_base_complex64_muladd( v, v, v ); |
| 264 | + stdlib_complex64_reim( y, &re, &im ); |
| 265 | + printf( "z*z + z = %f + %fi\n", re, im ); |
| 266 | + } |
| 267 | +} |
| 268 | +``` |
| 269 | + |
| 270 | +</section> |
| 271 | + |
| 272 | +<!-- /.examples --> |
| 273 | + |
| 274 | +</section> |
| 275 | + |
| 276 | +<!-- /.c --> |
| 277 | + |
| 278 | +<!-- Section for related `stdlib` packages. Do not manually edit this section, as it is automatically populated. --> |
| 279 | + |
| 280 | +<section class="related"> |
| 281 | + |
| 282 | +</section> |
| 283 | + |
| 284 | +<!-- /.related --> |
| 285 | + |
| 286 | +<!-- Section for all links. Make sure to keep an empty line after the `section` element and another before the `/section` close. --> |
| 287 | + |
| 288 | +<section class="links"> |
| 289 | + |
| 290 | +[@stdlib/complex/float32/ctor]: https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/complex/float32/ctor |
| 291 | + |
| 292 | +<!-- <related-links> --> |
| 293 | + |
| 294 | +<!-- </related-links> --> |
| 295 | + |
| 296 | +</section> |
| 297 | + |
| 298 | +<!-- /.links --> |
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