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| 1 | +/* |
| 2 | +* @license Apache-2.0 |
| 3 | +* |
| 4 | +* Copyright (c) 2021 The Stdlib Authors. |
| 5 | +* |
| 6 | +* Licensed under the Apache License, Version 2.0 (the "License"); |
| 7 | +* you may not use this file except in compliance with the License. |
| 8 | +* You may obtain a copy of the License at |
| 9 | +* |
| 10 | +* http://www.apache.org/licenses/LICENSE-2.0 |
| 11 | +* |
| 12 | +* Unless required by applicable law or agreed to in writing, software |
| 13 | +* distributed under the License is distributed on an "AS IS" BASIS, |
| 14 | +* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. |
| 15 | +* See the License for the specific language governing permissions and |
| 16 | +* limitations under the License. |
| 17 | +*/ |
| 18 | + |
| 19 | +// TypeScript Version: 2.0 |
| 20 | + |
| 21 | +/* tslint:disable:max-line-length */ |
| 22 | +/* tslint:disable:max-file-line-count */ |
| 23 | + |
| 24 | +import complx = require( '@stdlib/complex/cmplx' ); |
| 25 | +import conj = require( '@stdlib/complex/conj' ); |
| 26 | +import Complex64 = require( '@stdlib/complex/float32' ); |
| 27 | +import Complex128 = require( '@stdlib/complex/float64' ); |
| 28 | +import imag = require( '@stdlib/complex/imag' ); |
| 29 | +import real = require( '@stdlib/complex/real' ); |
| 30 | +import reim = require( '@stdlib/complex/reim' ); |
| 31 | +import reviveComplex = require( '@stdlib/complex/reviver' ); |
| 32 | +import reviveComplex64 = require( '@stdlib/complex/reviver-float32' ); |
| 33 | +import reviveComplex128 = require( '@stdlib/complex/reviver-float64' ); |
| 34 | + |
| 35 | +/** |
| 36 | +* Interface describing the `complex` namespace. |
| 37 | +*/ |
| 38 | +interface COMPLEX { |
| 39 | + /** |
| 40 | + * Creates a complex number. |
| 41 | + * |
| 42 | + * @param real - real component |
| 43 | + * @param imag - imaginary component |
| 44 | + * @param dtype - data type (default: 'float64') |
| 45 | + * @returns complex number |
| 46 | + * |
| 47 | + * @example |
| 48 | + * var z = complex( 5.0, 3.0, 'float64' ); |
| 49 | + * // returns <Complex128> |
| 50 | + */ |
| 51 | + complex: typeof complx; |
| 52 | + |
| 53 | + /** |
| 54 | + * Returns the complex conjugate of a complex number. |
| 55 | + * |
| 56 | + * @param z - complex number |
| 57 | + * @returns complex conjugate |
| 58 | + * |
| 59 | + * @example |
| 60 | + * var Complex128 = require( `@stdlib/complex/float64` ); |
| 61 | + * |
| 62 | + * var z = new Complex128( 5.0, 3.0 ); |
| 63 | + * |
| 64 | + * var v = conj( z ); |
| 65 | + * // returns <Complex128> |
| 66 | + */ |
| 67 | + conj: typeof conj; |
| 68 | + |
| 69 | + /** |
| 70 | + * 64-bit complex number. |
| 71 | + */ |
| 72 | + Complex64: typeof Complex64; |
| 73 | + |
| 74 | + /** |
| 75 | + * 128-bit complex number. |
| 76 | + */ |
| 77 | + Complex128: typeof Complex128; |
| 78 | + |
| 79 | + /** |
| 80 | + * Returns the imaginary component of a complex number. |
| 81 | + * |
| 82 | + * @param z - complex number |
| 83 | + * @returns imaginary component |
| 84 | + * |
| 85 | + * @example |
| 86 | + * var Complex128 = require( `@stdlib/complex/float64` ); |
| 87 | + * |
| 88 | + * var z = new Complex128( 5.0, 3.0 ); |
| 89 | + * |
| 90 | + * var im = imag( z ); |
| 91 | + * // returns 3.0 |
| 92 | + */ |
| 93 | + imag: typeof imag; |
| 94 | + |
| 95 | + /** |
| 96 | + * Returns the real component of a complex number. |
| 97 | + * |
| 98 | + * @param z - complex number |
| 99 | + * @returns real component |
| 100 | + * |
| 101 | + * @example |
| 102 | + * var Complex128 = require( `@stdlib/complex/float64` ); |
| 103 | + * |
| 104 | + * var z = new Complex128( 5.0, 3.0 ); |
| 105 | + * |
| 106 | + * var re = real( z ); |
| 107 | + * // returns 5.0 |
| 108 | + */ |
| 109 | + real: typeof real; |
| 110 | + |
| 111 | + /** |
| 112 | + * Returns the real and imaginary components of a complex number. |
| 113 | + * |
| 114 | + * @param z - complex number |
| 115 | + * @returns real and imaginary components |
| 116 | + * |
| 117 | + * @example |
| 118 | + * var Complex128 = require( `@stdlib/complex/float64` ); |
| 119 | + * |
| 120 | + * var z = new Complex128( 5.0, 3.0 ); |
| 121 | + * |
| 122 | + * var out = reim( z ); |
| 123 | + * // returns <Float64Array>[ 5.0, 3.0 ] |
| 124 | + * |
| 125 | + * @example |
| 126 | + * var Complex64 = require( `@stdlib/complex/float32` ); |
| 127 | + * |
| 128 | + * var z = new Complex64( 5.0, 3.0 ); |
| 129 | + * |
| 130 | + * var out = reim( z ); |
| 131 | + * // returns <Float32Array>[ 5.0, 3.0 ] |
| 132 | + */ |
| 133 | + reim: typeof reim; |
| 134 | + |
| 135 | + /** |
| 136 | + * Revives a JSON-serialized complex number. |
| 137 | + * |
| 138 | + * @param key - key |
| 139 | + * @param value - value |
| 140 | + * @returns value or complex number |
| 141 | + * |
| 142 | + * @example |
| 143 | + * var parseJSON = require( `@stdlib/utils/parse-json` ); |
| 144 | + * |
| 145 | + * var str = '{"type":"Complex128","re":5,"im":3}'; |
| 146 | + * |
| 147 | + * var z = parseJSON( str, reviver ); |
| 148 | + * // returns <Complex128> |
| 149 | + */ |
| 150 | + reviveComplex: typeof reviveComplex; |
| 151 | + |
| 152 | + /** |
| 153 | + * Revives a JSON-serialized 64-bit complex number. |
| 154 | + * |
| 155 | + * @param key - key |
| 156 | + * @param value - value |
| 157 | + * @returns value or 64-bit complex number |
| 158 | + * |
| 159 | + * @example |
| 160 | + * var parseJSON = require( `@stdlib/utils/parse-json` ); |
| 161 | + * |
| 162 | + * var str = '{"type":"Complex64","re":5,"im":3}'; |
| 163 | + * |
| 164 | + * var z = parseJSON( str, reviver ); |
| 165 | + * // returns <Complex64> |
| 166 | + */ |
| 167 | + reviveComplex64: typeof reviveComplex64; |
| 168 | + |
| 169 | + /** |
| 170 | + * Revives a JSON-serialized 128-bit complex number. |
| 171 | + * |
| 172 | + * @param key - key |
| 173 | + * @param value - value |
| 174 | + * @returns value or 128-bit complex number |
| 175 | + * |
| 176 | + * @example |
| 177 | + * var parseJSON = require( `@stdlib/utils/parse-json` ); |
| 178 | + * |
| 179 | + * var str = '{"type":"Complex128","re":5,"im":3}'; |
| 180 | + * |
| 181 | + * var z = parseJSON( str, reviver ); |
| 182 | + * // returns <Complex128> |
| 183 | + */ |
| 184 | + reviveComplex128: typeof reviveComplex128; |
| 185 | +} |
| 186 | + |
| 187 | +/** |
| 188 | +* Complex numbers. |
| 189 | +*/ |
| 190 | +declare var complex: COMPLEX; |
| 191 | + |
| 192 | + |
| 193 | +// EXPORTS // |
| 194 | + |
| 195 | +export = complex; |
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