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| 1 | +/* |
| 2 | +* @license Apache-2.0 |
| 3 | +* |
| 4 | +* Copyright (c) 2025 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: 4.1 |
| 20 | + |
| 21 | +/** |
| 22 | +* Interface describing `dlartg`. |
| 23 | +*/ |
| 24 | +interface Routine { |
| 25 | + /** |
| 26 | + * Generates a plane rotation of a vector such that the following equation is satisfied. |
| 27 | + * |
| 28 | + * ```tex |
| 29 | + * \(\begin{bmatrix} C & S \\ -S & C \end{bmatrix} \begin{bmatrix} F \\ G \end{bmatrix} = \begin{bmatrix} R \\ 0 \end{bmatrix}\) |
| 30 | + * ``` |
| 31 | + * |
| 32 | + * @param F - single element array representing the first component of the vector to be rotated |
| 33 | + * @param G - single element array representing the second component of the vector to be rotated |
| 34 | + * @param CS - single element array overwritten by the cosine of the rotation |
| 35 | + * @param SN - single element array overwritten by the sine of the rotation |
| 36 | + * @param R - single element array overwritten by the non-zero component of the rotated vector |
| 37 | + * @returns {void} |
| 38 | + * |
| 39 | + * @example |
| 40 | + * var Float64Array = require( '@stdlib/array/float64' ); |
| 41 | + * |
| 42 | + * var F = new Float64Array( [ 3.0 ] ); |
| 43 | + * var G = new Float64Array( [ 4.0 ] ); |
| 44 | + * var CS = new Float64Array( 1 ); |
| 45 | + * var SN = new Float64Array( 1 ); |
| 46 | + * var R = new Float64Array( 1 ); |
| 47 | + * |
| 48 | + * dlartg( F, G, CS, SN, R ); |
| 49 | + * // R => <Float64Array>[ 5.0 ] |
| 50 | + * // CS => <Float64Array>[ 0.6 ] |
| 51 | + * // SN => <Float64Array>[ 0.8 ] |
| 52 | + */ |
| 53 | + ( F: Float64Array, G: Float64Array, CS: Float64Array, SN: Float64Array, R: Float64Array ): void; |
| 54 | + |
| 55 | + /** |
| 56 | + * Generates a plane rotation of a vector using alternative indexing semantics such that the following equation is satisfied. |
| 57 | + * |
| 58 | + * ```tex |
| 59 | + * \(\begin{bmatrix} C & S \\ -S & C \end{bmatrix} \begin{bmatrix} F \\ G \end{bmatrix} = \begin{bmatrix} R \\ 0 \end{bmatrix}\) |
| 60 | + * ``` |
| 61 | + * |
| 62 | + * @param F - single element array representing the first component of the vector to be rotated |
| 63 | + * @param offsetF - starting index for `F` |
| 64 | + * @param G - single element array representing the second component of the vector to be rotated |
| 65 | + * @param offsetG - starting index for `G` |
| 66 | + * @param CS - single element array overwritten by the cosine of the rotation |
| 67 | + * @param offsetCS - starting index for `CS` |
| 68 | + * @param SN - single element array overwritten by the sine of the rotation |
| 69 | + * @param offsetSN - starting index for `SN` |
| 70 | + * @param R - single element array overwritten by the non-zero component of the rotated vector |
| 71 | + * @param offsetR - starting index for `R` |
| 72 | + * @returns {void} |
| 73 | + * |
| 74 | + * @example |
| 75 | + * var Float64Array = require( '@stdlib/array/float64' ); |
| 76 | + * |
| 77 | + * var F = new Float64Array( [ 3.0 ] ); |
| 78 | + * var G = new Float64Array( [ 4.0 ] ); |
| 79 | + * var CS = new Float64Array( 1 ); |
| 80 | + * var SN = new Float64Array( 1 ); |
| 81 | + * var R = new Float64Array( 1 ); |
| 82 | + * |
| 83 | + * dlartg.ndarray( F, 0, G, 0, CS, 0, SN, 0, R, 0 ); |
| 84 | + * // R => <Float64Array>[ 5.0 ] |
| 85 | + * // CS => <Float64Array>[ 0.6 ] |
| 86 | + * // SN => <Float64Array>[ 0.8 ] |
| 87 | + */ |
| 88 | + ndarray( F: Float64Array, offsetF: number, G: Float64Array, offsetG: number, CS: Float64Array, offsetCS: number, SN: Float64Array, offsetSN: number, R: Float64Array, offsetR: number ): void; |
| 89 | +} |
| 90 | + |
| 91 | +/** |
| 92 | +* Generates a plane rotation of a vector such that the following equation is satisfied. |
| 93 | +* |
| 94 | +* ```tex |
| 95 | +* \(\begin{bmatrix} C & S \\ -S & C \end{bmatrix} \begin{bmatrix} F \\ G \end{bmatrix} = \begin{bmatrix} R \\ 0 \end{bmatrix}\) |
| 96 | +* ``` |
| 97 | +* |
| 98 | +* @param F - single element array representing the first component of the vector to be rotated |
| 99 | +* @param G - single element array representing the second component of the vector to be rotated |
| 100 | +* @param CS - single element array overwritten by the cosine of the rotation |
| 101 | +* @param SN - single element array overwritten by the sine of the rotation |
| 102 | +* @param R - single element array overwritten by the non-zero component of the rotated vector |
| 103 | +* @returns {void} |
| 104 | +* |
| 105 | +* @example |
| 106 | +* var Float64Array = require( '@stdlib/array/float64' ); |
| 107 | +* |
| 108 | +* var F = new Float64Array( [ 3.0 ] ); |
| 109 | +* var G = new Float64Array( [ 4.0 ] ); |
| 110 | +* var CS = new Float64Array( 1 ); |
| 111 | +* var SN = new Float64Array( 1 ); |
| 112 | +* var R = new Float64Array( 1 ); |
| 113 | +* |
| 114 | +* dlartg( F, G, CS, SN, R ); |
| 115 | +* // R => <Float64Array>[ 5.0 ] |
| 116 | +* // CS => <Float64Array>[ 0.6 ] |
| 117 | +* // SN => <Float64Array>[ 0.8 ] |
| 118 | +* |
| 119 | +* @example |
| 120 | +* var Float64Array = require( '@stdlib/array/float64' ); |
| 121 | +* |
| 122 | +* var F = new Float64Array( [ 3.0 ] ); |
| 123 | +* var G = new Float64Array( [ 4.0 ] ); |
| 124 | +* var CS = new Float64Array( 1 ); |
| 125 | +* var SN = new Float64Array( 1 ); |
| 126 | +* var R = new Float64Array( 1 ); |
| 127 | +* |
| 128 | +* dlartg.ndarray( F, 0, G, 0, CS, 0, SN, 0, R, 0 ); |
| 129 | +* // R => <Float64Array>[ 5.0 ] |
| 130 | +* // CS => <Float64Array>[ 0.6 ] |
| 131 | +* // SN => <Float64Array>[ 0.8 ] |
| 132 | +*/ |
| 133 | +declare var dlartg: Routine; |
| 134 | + |
| 135 | + |
| 136 | +// EXPORTS // |
| 137 | + |
| 138 | +export = dlartg; |
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