| /* |
| * Copyright (c) 2018 Apple Inc. All rights reserved. |
| * |
| * Redistribution and use in source and binary forms, with or without |
| * modification, are permitted provided that the following conditions |
| * are met: |
| * 1. Redistributions of source code must retain the above copyright |
| * notice, this list of conditions and the following disclaimer. |
| * 2. Redistributions in binary form must reproduce the above copyright |
| * notice, this list of conditions and the following disclaimer in the |
| * documentation and/or other materials provided with the distribution. |
| * |
| * THIS SOFTWARE IS PROVIDED BY APPLE INC. ``AS IS'' AND ANY |
| * EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE |
| * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR |
| * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL APPLE INC. OR |
| * CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, |
| * EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, |
| * PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR |
| * PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY |
| * OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT |
| * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE |
| * OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. |
| */ |
| |
| #include "pas_config.h" |
| |
| #if LIBPAS_ENABLED |
| |
| #include "pas_extended_gcd.h" |
| |
| pas_extended_gcd_result pas_extended_gcd(int64_t left, int64_t right) |
| { |
| /* Source: https://en.wikipedia.org/wiki/Extended_Euclidean_algorithm */ |
| |
| int64_t s, t, r; |
| int64_t old_s, old_t, old_r; |
| pas_extended_gcd_result result; |
| |
| /* We will see these common cases. */ |
| if (left == 1) { |
| result.left_bezout_coefficient = 1; |
| result.right_bezout_coefficient = 0; |
| result.result = 1; |
| return result; |
| } |
| |
| if (right == 1) { |
| result.left_bezout_coefficient = 0; |
| result.right_bezout_coefficient = 1; |
| result.result = 1; |
| return result; |
| } |
| |
| s = 0; |
| old_s = 1; |
| t = 1; |
| old_t = 0; |
| r = right; |
| old_r = left; |
| |
| while (r) { |
| int64_t quotient; |
| int64_t prev_s, prev_t, prev_r; |
| |
| quotient = old_r / r; |
| |
| prev_r = r; |
| r = old_r - quotient * r; |
| old_r = prev_r; |
| |
| prev_s = s; |
| s = old_s - quotient * s; |
| old_s = prev_s; |
| |
| prev_t = t; |
| t = old_t - quotient * t; |
| old_t = prev_t; |
| } |
| |
| result.left_bezout_coefficient = old_s; |
| result.right_bezout_coefficient = old_t; |
| result.result = old_r; |
| return result; |
| } |
| |
| #endif /* LIBPAS_ENABLED */ |