1 | /* |
2 | * IBM Accurate Mathematical Library |
3 | * written by International Business Machines Corp. |
4 | * Copyright (C) 2001-2021 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 | |