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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 | +# cceiln |
| 22 | + |
| 23 | +> Round each component of a single-precision complex floating-point number to the nearest multiple of `10^n` toward positive infinity. |
| 24 | +
|
| 25 | +<section class="usage"> |
| 26 | + |
| 27 | +## Usage |
| 28 | + |
| 29 | +```javascript |
| 30 | +var cceilnf = require( '@stdlib/math/base/special/cceilnf' ); |
| 31 | +``` |
| 32 | + |
| 33 | +#### cceilnf( z, n ) |
| 34 | + |
| 35 | +Rounds each component of a single-precision complex floating-point number to the nearest multiple of `10^n` toward positive infinity. |
| 36 | + |
| 37 | +```javascript |
| 38 | +var Complex64 = require( '@stdlib/complex/float32/ctor' ); |
| 39 | +var real = require( '@stdlib/complex/float32/real' ); |
| 40 | +var imag = require( '@stdlib/complex/float32/imag' ); |
| 41 | + |
| 42 | +// Round components to 2 decimal places: |
| 43 | +var z = new Complex64(-3.1415927, 3.1415927) |
| 44 | +var v = cceilnf( z, -2 ); |
| 45 | +// returns <Complex128> |
| 46 | + |
| 47 | +var re = real( v ); |
| 48 | +// returns -3.14 |
| 49 | + |
| 50 | +var im = imag( v ); |
| 51 | +// returns 3.15 |
| 52 | + |
| 53 | +// If n = 0, `cceilnf` behaves like `cceilf`: |
| 54 | +z = new Complex64( 9.99999, 0.1 ); |
| 55 | +v = cceilnf( z, 0 ); |
| 56 | +// returns <Complex64> |
| 57 | + |
| 58 | +re = real( v ); |
| 59 | +// returns 10.0 |
| 60 | + |
| 61 | +im = imag( v ); |
| 62 | +// returns 1.0 |
| 63 | + |
| 64 | +// Round components to the nearest thousand: |
| 65 | +z = new Complex64( 12368.0, -12368.0 ); |
| 66 | +v = cceilnf( z, 3 ); |
| 67 | +// returns <Complex64> |
| 68 | + |
| 69 | +re = real( v ); |
| 70 | +// returns 13000.0 |
| 71 | + |
| 72 | +im = imag( v ); |
| 73 | +// returns -12000.0 |
| 74 | + |
| 75 | +v = cceilnf( new Complex64( NaN, NaN ), 2 ); |
| 76 | +// returns <Complex64> |
| 77 | + |
| 78 | +re = real( v ); |
| 79 | +// returns NaN |
| 80 | + |
| 81 | +im = imag( v ); |
| 82 | +// returns NaN |
| 83 | +``` |
| 84 | + |
| 85 | +</section> |
| 86 | + |
| 87 | +<!-- /.usage --> |
| 88 | + |
| 89 | +<section class="notes"> |
| 90 | + |
| 91 | +## Notes |
| 92 | + |
| 93 | +- When operating on [floating-point numbers][ieee754] in bases other than `2`, rounding to specified digits can be **inexact**. For example, |
| 94 | + |
| 95 | + ```javascript |
| 96 | + var Complex64 = require( '@stdlib/complex/float32/ctor' ); |
| 97 | + var real = require( '@stdlib/complex/float32/real' ); |
| 98 | + var imag = require( '@stdlib/complex/float32/imag' ); |
| 99 | + |
| 100 | + var x = 0.2 + 0.1; |
| 101 | + // returns 0.3 |
| 102 | + |
| 103 | + // Should round components to 0.3: |
| 104 | + var v = cceilnf( new Complex64( x, x ), -16 ); |
| 105 | + // returns <Complex64> |
| 106 | + |
| 107 | + var re = real( v ); |
| 108 | + // returns 0.3 |
| 109 | + |
| 110 | + var im = imag( v ); |
| 111 | + // returns 0.3 |
| 112 | + ``` |
| 113 | + |
| 114 | +</section> |
| 115 | + |
| 116 | +<!-- /.notes --> |
| 117 | + |
| 118 | +<section class="examples"> |
| 119 | + |
| 120 | +## Examples |
| 121 | + |
| 122 | +<!-- eslint no-undef: "error" --> |
| 123 | + |
| 124 | +```javascript |
| 125 | +var uniform = require( '@stdlib/random/base/uniform' ).factory; |
| 126 | +var discreteUniform = require( '@stdlib/random/base/discrete-uniform' ).factory; |
| 127 | +var Complex64 = require( '@stdlib/complex/float32/ctor' ); |
| 128 | +var cceilnf = require( '@stdlib/math/base/special/cceilnf' ); |
| 129 | +
|
| 130 | +var rand1 = uniform( -50.0, 50.0 ); |
| 131 | +var rand2 = discreteUniform( -5.0, 0.0 ); |
| 132 | +
|
| 133 | +var z; |
| 134 | +var i; |
| 135 | +var n; |
| 136 | +for ( i = 0; i < 100; i++ ) { |
| 137 | + n = rand2(); |
| 138 | + z = new Complex64( rand1(), rand1() ); |
| 139 | + console.log( 'cceilnf(%s, %s) = %s', z, n, cceilnf( z, n ) ); |
| 140 | +} |
| 141 | +``` |
| 142 | + |
| 143 | +</section> |
| 144 | + |
| 145 | +<!-- /.examples --> |
| 146 | + |
| 147 | +<!-- C interface documentation. --> |
| 148 | + |
| 149 | +* * * |
| 150 | + |
| 151 | +<section class="c"> |
| 152 | + |
| 153 | +## C APIs |
| 154 | + |
| 155 | +<!-- Section to include introductory text. Make sure to keep an empty line after the intro `section` element and another before the `/section` close. --> |
| 156 | + |
| 157 | +<section class="intro"> |
| 158 | + |
| 159 | +</section> |
| 160 | + |
| 161 | +<!-- /.intro --> |
| 162 | + |
| 163 | +<!-- C usage documentation. --> |
| 164 | + |
| 165 | +<section class="usage"> |
| 166 | + |
| 167 | +### Usage |
| 168 | + |
| 169 | +```c |
| 170 | +#include "stdlib/math/base/special/cceiln.h" |
| 171 | +``` |
| 172 | + |
| 173 | +#### stdlib_base_cceilnf( z, n ) |
| 174 | + |
| 175 | +Rounds each component of a single-precision complex floating-point number to the nearest multiple of `10^n` toward positive infinity. |
| 176 | + |
| 177 | +```c |
| 178 | +#include "stdlib/complex/float32/ctor.h" |
| 179 | +#include "stdlib/complex/float32/real.h" |
| 180 | +#include "stdlib/complex/float32/imag.h" |
| 181 | +
|
| 182 | +stdlib_complex64_t z = stdlib_complex64( -3.1415927, 3.1415927 ); |
| 183 | +
|
| 184 | +stdlib_complex64_t out = stdlib_base_cceilnf( z, -2 ); |
| 185 | +
|
| 186 | +float re = stdlib_complex64_real( out ); |
| 187 | +// returns -3.14 |
| 188 | +
|
| 189 | +float im = stdlib_complex64_imag( out ); |
| 190 | +// returns 3.15 |
| 191 | +``` |
| 192 | + |
| 193 | +The function accepts the following arguments: |
| 194 | + |
| 195 | +- **z**: `[in] stdlib_complex64_t` input value. |
| 196 | +- **n**: `[in] int32_t` integer power of 10. |
| 197 | + |
| 198 | +```c |
| 199 | +stdlib_complex64_t stdlib_base_cceilnf( const stdlib_complex64_t z, int32_t n ); |
| 200 | +``` |
| 201 | +
|
| 202 | +</section> |
| 203 | +
|
| 204 | +<!-- /.usage --> |
| 205 | +
|
| 206 | +<!-- C API usage notes. Make sure to keep an empty line after the `section` element and another before the `/section` close. --> |
| 207 | +
|
| 208 | +<section class="notes"> |
| 209 | +
|
| 210 | +</section> |
| 211 | +
|
| 212 | +<!-- /.notes --> |
| 213 | +
|
| 214 | +<!-- C API usage examples. --> |
| 215 | +
|
| 216 | +<section class="examples"> |
| 217 | +
|
| 218 | +### Examples |
| 219 | +
|
| 220 | +```c |
| 221 | +#include "stdlib/math/base/special/cceilnf.h" |
| 222 | +#include "stdlib/complex/float32/ctor.h" |
| 223 | +#include "stdlib/complex/float32/reim.h" |
| 224 | +#include <stdio.h> |
| 225 | + |
| 226 | +int main() { |
| 227 | + const stdlib_complex64_t x[] = { |
| 228 | + stdlib_complex64( 3.14, 1.5 ), |
| 229 | + stdlib_complex64( -3.14, -1.5 ), |
| 230 | + stdlib_complex64( 0.0, 0.0 ), |
| 231 | + stdlib_complex64( 0.0/0.0, 0.0/0.0 ) |
| 232 | + }; |
| 233 | + |
| 234 | + stdlib_complex64_t v; |
| 235 | + stdlib_complex64_t y; |
| 236 | + float re1; |
| 237 | + float im1; |
| 238 | + float re2; |
| 239 | + float im2; |
| 240 | + int i; |
| 241 | + for ( i = 0; i < 4; i++ ) { |
| 242 | + v = x[ i ]; |
| 243 | + y = stdlib_base_cceilnf( v, -2 ); |
| 244 | + stdlib_complex64_reim( v, &re1, &im1 ); |
| 245 | + stdlib_complex64_reim( y, &re2, &im2 ); |
| 246 | + printf( "cceilnf(%f + %fi, -2) = %f + %fi\n", re1, im1, re2, im2 ); |
| 247 | + } |
| 248 | +} |
| 249 | +``` |
| 250 | +
|
| 251 | +</section> |
| 252 | +
|
| 253 | +<!-- /.examples --> |
| 254 | +
|
| 255 | +</section> |
| 256 | +
|
| 257 | +<!-- /.c --> |
| 258 | +
|
| 259 | +<!-- Section for related `stdlib` packages. Do not manually edit this section, as it is automatically populated. --> |
| 260 | +
|
| 261 | +<section class="related"> |
| 262 | +
|
| 263 | +* * * |
| 264 | +
|
| 265 | +## See Also |
| 266 | +
|
| 267 | +- <span class="package-name">[`@stdlib/math/base/special/cceilf`][@stdlib/math/base/special/cceilf]</span><span class="delimiter">: </span><span class="description">round each component of a single-precision complex floating-point number toward positive infinity.</span> |
| 268 | +- <span class="package-name">[`@stdlib/math/base/special/cfloorn`][@stdlib/math/base/special/cfloorn]</span><span class="delimiter">: </span><span class="description">round each component of a double-precision complex floating-point number to the nearest multiple of 10^n toward negative infinity.</span> |
| 269 | +- <span class="package-name">[`@stdlib/math/base/special/croundn`][@stdlib/math/base/special/croundn]</span><span class="delimiter">: </span><span class="description">round each component of a double-precision complex floating-point number to the nearest multiple of 10^n.</span> |
| 270 | +
|
| 271 | +</section> |
| 272 | +
|
| 273 | +<!-- /.related --> |
| 274 | +
|
| 275 | +<!-- Section for all links. Make sure to keep an empty line after the `section` element and another before the `/section` close. --> |
| 276 | +
|
| 277 | +<section class="links"> |
| 278 | +
|
| 279 | +[ieee754]: https://en.wikipedia.org/wiki/IEEE_754-1985 |
| 280 | +
|
| 281 | +<!-- <related-links> --> |
| 282 | +
|
| 283 | +[@stdlib/math/base/special/cceilf]: https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/math/base/special/cceilf |
| 284 | +
|
| 285 | +[@stdlib/math/base/special/cfloorn]: https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/math/base/special/cfloorn |
| 286 | +
|
| 287 | +[@stdlib/math/base/special/croundn]: https://github.com/stdlib-js/stdlib/tree/develop/lib/node_modules/%40stdlib/math/base/special/croundn |
| 288 | +
|
| 289 | +<!-- </related-links> --> |
| 290 | +
|
| 291 | +</section> |
| 292 | +
|
| 293 | +<!-- /.links --> |
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