| 1 | /* |
| 2 | * IBM Accurate Mathematical Library |
| 3 | * written by International Business Machines Corp. |
| 4 | * Copyright (C) 2001-2020 Free Software Foundation, Inc. |
| 5 | * |
| 6 | * This program is free software; you can redistribute it and/or modify |
| 7 | * it under the terms of the GNU Lesser General Public License as published by |
| 8 | * the Free Software Foundation; either version 2.1 of the License, or |
| 9 | * (at your option) any later version. |
| 10 | * |
| 11 | * This program is distributed in the hope that it will be useful, |
| 12 | * but WITHOUT ANY WARRANTY; without even the implied warranty of |
| 13 | * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the |
| 14 | * GNU Lesser General Public License for more details. |
| 15 | * |
| 16 | * You should have received a copy of the GNU Lesser General Public License |
| 17 | * along with this program; if not, see <https://www.gnu.org/licenses/>. |
| 18 | */ |
| 19 | /******************************************************************/ |
| 20 | /* MODULE_NAME: mpatan2.c */ |
| 21 | /* */ |
| 22 | /* FUNCTIONS:mpatan2 */ |
| 23 | /* */ |
| 24 | /* FILES NEEDED: mpa.h */ |
| 25 | /* mpa.c mpatan.c mpsqrt.c */ |
| 26 | /* */ |
| 27 | /* Multi-Precision Atan2(y,x) function subroutine, */ |
| 28 | /* for precision p >= 4. */ |
| 29 | /* y=0 is not permitted if x<=0. No error messages are given. */ |
| 30 | /* The relative error of the result is bounded by 44.84*r**(1-p) */ |
| 31 | /* if x <= 0, y != 0 and by 37.33*r**(1-p) if x>0. here r=2**24. */ |
| 32 | /* */ |
| 33 | /******************************************************************/ |
| 34 | |
| 35 | #include "mpa.h" |
| 36 | |
| 37 | #ifndef SECTION |
| 38 | # define SECTION |
| 39 | #endif |
| 40 | |
| 41 | /* Multi-Precision Atan2 (y, x) function subroutine, for p >= 4. |
| 42 | y = 0 is not permitted if x <= 0. No error messages are given. */ |
| 43 | void |
| 44 | SECTION |
| 45 | __mpatan2 (mp_no *y, mp_no *x, mp_no *z, int p) |
| 46 | { |
| 47 | mp_no mpt1, mpt2, mpt3; |
| 48 | |
| 49 | if (X[0] <= 0) |
| 50 | { |
| 51 | __dvd (x, y, &mpt1, p); |
| 52 | __mul (&mpt1, &mpt1, &mpt2, p); |
| 53 | if (mpt1.d[0] != 0) |
| 54 | mpt1.d[0] = 1; |
| 55 | __add (&mpt2, &__mpone, &mpt3, p); |
| 56 | __mpsqrt (&mpt3, &mpt2, p); |
| 57 | __add (&mpt1, &mpt2, &mpt3, p); |
| 58 | mpt3.d[0] = Y[0]; |
| 59 | __mpatan (&mpt3, &mpt1, p); |
| 60 | __add (&mpt1, &mpt1, z, p); |
| 61 | } |
| 62 | else |
| 63 | { |
| 64 | __dvd (y, x, &mpt1, p); |
| 65 | __mpatan (&mpt1, z, p); |
| 66 | } |
| 67 | } |
| 68 | |