1 /*
2 Copyright (C) 2013 Fredrik Johansson
3
4 This file is part of Arb.
5
6 Arb is free software: you can redistribute it and/or modify it under
7 the terms of the GNU Lesser General Public License (LGPL) as published
8 by the Free Software Foundation; either version 2.1 of the License, or
9 (at your option) any later version. See <http://www.gnu.org/licenses/>.
10 */
11
12 #include "arb.h"
13
14 void
arb_hypot(arb_t z,const arb_t x,const arb_t y,slong prec)15 arb_hypot(arb_t z, const arb_t x, const arb_t y, slong prec)
16 {
17 if (arb_is_zero(y))
18 {
19 arb_abs(z, x);
20 }
21 else if (arb_is_zero(x))
22 {
23 arb_abs(z, y);
24 }
25 else
26 {
27 arb_t t;
28 arb_init(t);
29 /* TODO: use arb_fmma */
30 arb_mul(t, x, x, prec + 4);
31 arb_mul(z, y, y, prec + 4);
32 arb_add(t, t, z, prec + 4);
33 arb_sqrtpos(z, t, prec);
34 arb_clear(t);
35 }
36 }
37
38