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77a2a8b4 1/* Pythagorean addition using doubles
2b778ceb 2 Copyright (C) 2011-2021 Free Software Foundation, Inc.
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3 This file is part of the GNU C Library
4 Contributed by Adhemerval Zanella <azanella@br.ibm.com>, 2011
5
6 The GNU C Library is free software; you can redistribute it and/or
7 modify it under the terms of the GNU Library General Public License as
8 published by the Free Software Foundation; either version 2 of the
9 License, or (at your option) any later version.
10
11 The GNU C Library 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 GNU
14 Library General Public License for more details.
15
16 You should have received a copy of the GNU Library General Public
59ba27a6 17 License along with the GNU C Library; see the file COPYING.LIB. If
5a82c748 18 not, see <https://www.gnu.org/licenses/>. */
77a2a8b4 19
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20#include <math.h>
21#include <math_private.h>
8f5b00d3 22#include <math-underflow.h>
e054f494 23#include <stdint.h>
220622dd 24#include <libm-alias-finite.h>
77a2a8b4 25
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26/* __ieee754_hypot(x,y)
27 *
28 * This a FP only version without any FP->INT conversion.
29 * It is similar to default C version, making appropriates
30 * overflow and underflows checks as well scaling when it
31 * is needed.
32 */
33
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34double
35__ieee754_hypot (double x, double y)
36{
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37 if ((isinf (x) || isinf (y))
38 && !issignaling (x) && !issignaling (y))
39 return INFINITY;
40 if (isnan (x) || isnan (y))
41 return x + y;
42
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43 x = fabs (x);
44 y = fabs (y);
45
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46 if (y > x)
47 {
48 double t = x;
49 x = y;
50 y = t;
51 }
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52 if (y == 0.0)
53 return x;
69461d98 54
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55 /* if y is higher enough, y * 2^60 might overflow. The tests if
56 y >= 1.7976931348623157e+308/2^60 (two60factor) and uses the
57 appropriate check to avoid the overflow exception generation. */
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58 if (y <= 0x1.fffffffffffffp+963 && x > (y * 0x1p+60))
59 return x + y;
60
61 if (x > 0x1p+500)
77a2a8b4 62 {
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63 x *= 0x1p-600;
64 y *= 0x1p-600;
65 return sqrt (x * x + y * y) / 0x1p-600;
77a2a8b4 66 }
69461d98 67 if (y < 0x1p-500)
77a2a8b4 68 {
69461d98 69 if (y <= 0x0.fffffffffffffp-1022)
77a2a8b4 70 {
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71 x *= 0x1p+1022;
72 y *= 0x1p+1022;
73 double ret = sqrt (x * x + y * y) / 0x1p+1022;
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74 math_check_force_underflow_nonneg (ret);
75 return ret;
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76 }
77 else
78 {
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79 x *= 0x1p+600;
80 y *= 0x1p+600;
81 return sqrt (x * x + y * y) / 0x1p+600;
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82 }
83 }
f67a8147 84 return sqrt (x * x + y * y);
77a2a8b4 85}
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86#ifndef __ieee754_hypot
87libm_alias_finite (__ieee754_hypot, __hypot)
88#endif