blob: bec6b535370fba82841d29651ca0059e7a74f23d [file] [log] [blame]
Daniel Dunbarb3a69012009-06-26 16:47:03 +00001// This file is distributed under the University of Illinois Open Source
2// License. See LICENSE.TXT for details.
3
4#include "DD.h"
5#include <math.h>
6
7#define makeFinite(x) { \
8 (x).hi = __builtin_copysign(isinf((x).hi) ? 1.0 : 0.0, (x).hi); \
9 (x).lo = 0.0; \
10 }
11
12long double __gcc_qadd(long double, long double);
13long double __gcc_qsub(long double, long double);
14long double __gcc_qmul(long double, long double);
15long double __gcc_qdiv(long double, long double);
16
17long double _Complex
18__divtc3(long double a, long double b, long double c, long double d)
19{
20 DD cDD = { .ld = c };
21 DD dDD = { .ld = d };
22
23 int ilogbw = 0;
24 const double logbw = logb(__builtin_fmax( __builtin_fabs(cDD.hi), __builtin_fabs(dDD.hi) ));
25
26 if (isfinite(logbw))
27 {
28 ilogbw = (int)logbw;
29
30 cDD.hi = scalbn(cDD.hi, -ilogbw);
31 cDD.lo = scalbn(cDD.lo, -ilogbw);
32 dDD.hi = scalbn(dDD.hi, -ilogbw);
33 dDD.lo = scalbn(dDD.lo, -ilogbw);
34 }
35
36 const long double denom = __gcc_qadd(__gcc_qmul(cDD.ld, cDD.ld), __gcc_qmul(dDD.ld, dDD.ld));
37 const long double realNumerator = __gcc_qadd(__gcc_qmul(a,cDD.ld), __gcc_qmul(b,dDD.ld));
38 const long double imagNumerator = __gcc_qsub(__gcc_qmul(b,cDD.ld), __gcc_qmul(a,dDD.ld));
39
40 DD real = { .ld = __gcc_qdiv(realNumerator, denom) };
41 DD imag = { .ld = __gcc_qdiv(imagNumerator, denom) };
42
43 real.hi = scalbn(real.hi, -ilogbw);
44 real.lo = scalbn(real.lo, -ilogbw);
45 imag.hi = scalbn(imag.hi, -ilogbw);
46 imag.lo = scalbn(imag.lo, -ilogbw);
47
48 if (isnan(real.hi) && isnan(imag.hi))
49 {
50 DD aDD = { .ld = a };
51 DD bDD = { .ld = b };
52 DD rDD = { .ld = denom };
53
54 if ((rDD.hi == 0.0) && (!isnan(aDD.hi) || !isnan(bDD.hi)))
55 {
56 real.hi = __builtin_copysign(INFINITY,cDD.hi) * aDD.hi;
57 real.lo = 0.0;
58 imag.hi = __builtin_copysign(INFINITY,cDD.hi) * bDD.hi;
59 imag.lo = 0.0;
60 }
61
62 else if ((isinf(aDD.hi) || isinf(bDD.hi)) && isfinite(cDD.hi) && isfinite(dDD.hi))
63 {
64 makeFinite(aDD);
65 makeFinite(bDD);
66 real.hi = INFINITY * (aDD.hi*cDD.hi + bDD.hi*dDD.hi);
67 real.lo = 0.0;
68 imag.hi = INFINITY * (bDD.hi*cDD.hi - aDD.hi*dDD.hi);
69 imag.lo = 0.0;
70 }
71
72 else if ((isinf(cDD.hi) || isinf(dDD.hi)) && isfinite(aDD.hi) && isfinite(bDD.hi))
73 {
74 makeFinite(cDD);
75 makeFinite(dDD);
76 real.hi = __builtin_copysign(0.0,(aDD.hi*cDD.hi + bDD.hi*dDD.hi));
77 real.lo = 0.0;
78 imag.hi = __builtin_copysign(0.0,(bDD.hi*cDD.hi - aDD.hi*dDD.hi));
79 imag.lo = 0.0;
80 }
81 }
82
83 long double _Complex z;
84 __real__ z = real.ld;
85 __imag__ z = imag.ld;
86
87 return z;
88}