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math: add exception handling functionality
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1/*
2 * ====================================================
3 * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
4 *
5 * Developed at SunPro, a Sun Microsystems, Inc. business.
6 * Permission to use, copy, modify, and distribute this
c4e44e97 7 * software is freely granted, provided that this notice
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8 * is preserved.
9 * ====================================================
10 */
11
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12/*
13 * rint(x)
14 * Return x rounded to integral value according to the prevailing
15 * rounding mode.
16 * Method:
17 * Using floating addition.
18 * Exception:
19 * Inexact flag raised if x not equal to rint(x).
20 */
21
22#include "math.h"
23#include "math_private.h"
24
7ce331c0 25static const double
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26TWO52[2]={
27 4.50359962737049600000e+15, /* 0x43300000, 0x00000000 */
28 -4.50359962737049600000e+15, /* 0xC3300000, 0x00000000 */
29};
30
38b7304e 31double rint(double x)
7ce331c0 32{
c61c6d98 33 int32_t i0, _j0, sx;
7ce331c0 34 u_int32_t i,i1;
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35 double t;
36 /* We use w = x + 2^52; t = w - 2^52; trick to round x to integer.
37 * This trick requires that compiler does not optimize it
38 * by keeping intermediate result w in a register wider than double.
39 * Declaring w volatile assures that value gets truncated to double
40 * (unfortunately, it also forces store+load):
41 */
42 volatile double w;
43
7ce331c0 44 EXTRACT_WORDS(i0,i1,x);
4435b3ae 45 /* Unbiased exponent */
c61c6d98 46 _j0 = ((((u_int32_t)i0) >> 20)&0x7ff)-0x3ff;
4435b3ae 47
c61c6d98 48 if (_j0 > 51) {
4435b3ae 49 //Why bother? Just returning x works too
c61c6d98 50 //if (_j0 == 0x400) /* inf or NaN */
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51 // return x+x;
52 return x; /* x is integral */
53 }
54
55 /* Sign */
56 sx = ((u_int32_t)i0) >> 31;
57
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58 if (_j0<20) {
59 if (_j0<0) { /* |x| < 1 */
4435b3ae 60 if (((i0&0x7fffffff)|i1)==0) return x;
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61 i1 |= (i0&0x0fffff);
62 i0 &= 0xfffe0000;
63 i0 |= ((i1|-i1)>>12)&0x80000;
64 SET_HIGH_WORD(x,i0);
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65 w = TWO52[sx]+x;
66 t = w-TWO52[sx];
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67 GET_HIGH_WORD(i0,t);
68 SET_HIGH_WORD(t,(i0&0x7fffffff)|(sx<<31));
4435b3ae 69 return t;
7ce331c0 70 } else {
c61c6d98 71 i = (0x000fffff)>>_j0;
4435b3ae 72 if (((i0&i)|i1)==0) return x; /* x is integral */
7ce331c0 73 i>>=1;
4435b3ae 74 if (((i0&i)|i1)!=0) {
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75 if (_j0==19) i1 = 0x40000000;
76 else i0 = (i0&(~i))|((0x20000)>>_j0);
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77 }
78 }
7ce331c0 79 } else {
c61c6d98 80 i = ((u_int32_t)(0xffffffff))>>(_j0-20);
4435b3ae 81 if ((i1&i)==0) return x; /* x is integral */
7ce331c0 82 i>>=1;
c61c6d98 83 if ((i1&i)!=0) i1 = (i1&(~i))|((0x40000000)>>(_j0-20));
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84 }
85 INSERT_WORDS(x,i0,i1);
86 w = TWO52[sx]+x;
87 return w-TWO52[sx];
88}
9cc29786 89libm_hidden_def(rint)
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90
91strong_alias(rint, nearbyint)
92libm_hidden_def(nearbyint)
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