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1 /* This file is distributed under the University of Illinois Open Source
2  * License. See LICENSE.TXT for details.
3  */
4
5 #include "DD.h"
6 #include <math.h>
7
8 #if !defined(INFINITY) && defined(HUGE_VAL)
9 #define INFINITY HUGE_VAL
10 #endif /* INFINITY */
11
12 #define makeFinite(x)   { \
13                                                         (x).s.hi = __builtin_copysign(isinf((x).s.hi) ? 1.0 : 0.0, (x).s.hi); \
14                                                         (x).s.lo = 0.0; \
15                                                 }
16
17 long double __gcc_qadd(long double, long double);
18 long double __gcc_qsub(long double, long double);
19 long double __gcc_qmul(long double, long double);
20 long double __gcc_qdiv(long double, long double);
21
22 long double _Complex
23 __divtc3(long double a, long double b, long double c, long double d)
24 {
25         DD cDD = { .ld = c };
26         DD dDD = { .ld = d };
27         
28         int ilogbw = 0;
29         const double logbw = logb(__builtin_fmax( __builtin_fabs(cDD.s.hi), __builtin_fabs(dDD.s.hi) ));
30         
31         if (isfinite(logbw))
32         {
33                 ilogbw = (int)logbw;
34                 
35                 cDD.s.hi = scalbn(cDD.s.hi, -ilogbw);
36                 cDD.s.lo = scalbn(cDD.s.lo, -ilogbw);
37                 dDD.s.hi = scalbn(dDD.s.hi, -ilogbw);
38                 dDD.s.lo = scalbn(dDD.s.lo, -ilogbw);
39         }
40         
41         const long double denom = __gcc_qadd(__gcc_qmul(cDD.ld, cDD.ld), __gcc_qmul(dDD.ld, dDD.ld));
42         const long double realNumerator = __gcc_qadd(__gcc_qmul(a,cDD.ld), __gcc_qmul(b,dDD.ld));
43         const long double imagNumerator = __gcc_qsub(__gcc_qmul(b,cDD.ld), __gcc_qmul(a,dDD.ld));
44         
45         DD real = { .ld = __gcc_qdiv(realNumerator, denom) };
46         DD imag = { .ld = __gcc_qdiv(imagNumerator, denom) };
47         
48         real.s.hi = scalbn(real.s.hi, -ilogbw);
49         real.s.lo = scalbn(real.s.lo, -ilogbw);
50         imag.s.hi = scalbn(imag.s.hi, -ilogbw);
51         imag.s.lo = scalbn(imag.s.lo, -ilogbw);
52         
53         if (isnan(real.s.hi) && isnan(imag.s.hi))
54         {
55                 DD aDD = { .ld = a };
56                 DD bDD = { .ld = b };
57                 DD rDD = { .ld = denom };
58                 
59                 if ((rDD.s.hi == 0.0) && (!isnan(aDD.s.hi) || !isnan(bDD.s.hi)))
60                 {
61                         real.s.hi = __builtin_copysign(INFINITY,cDD.s.hi) * aDD.s.hi;
62                         real.s.lo = 0.0;
63                         imag.s.hi = __builtin_copysign(INFINITY,cDD.s.hi) * bDD.s.hi;
64                         imag.s.lo = 0.0;
65                 }
66                 
67                 else if ((isinf(aDD.s.hi) || isinf(bDD.s.hi)) && isfinite(cDD.s.hi) && isfinite(dDD.s.hi))
68                 {
69                         makeFinite(aDD);
70                         makeFinite(bDD);
71                         real.s.hi = INFINITY * (aDD.s.hi*cDD.s.hi + bDD.s.hi*dDD.s.hi);
72                         real.s.lo = 0.0;
73                         imag.s.hi = INFINITY * (bDD.s.hi*cDD.s.hi - aDD.s.hi*dDD.s.hi);
74                         imag.s.lo = 0.0;
75                 }
76                 
77                 else if ((isinf(cDD.s.hi) || isinf(dDD.s.hi)) && isfinite(aDD.s.hi) && isfinite(bDD.s.hi))
78                 {
79                         makeFinite(cDD);
80                         makeFinite(dDD);
81                         real.s.hi = __builtin_copysign(0.0,(aDD.s.hi*cDD.s.hi + bDD.s.hi*dDD.s.hi));
82                         real.s.lo = 0.0;
83                         imag.s.hi = __builtin_copysign(0.0,(bDD.s.hi*cDD.s.hi - aDD.s.hi*dDD.s.hi));
84                         imag.s.lo = 0.0;
85                 }
86         }
87         
88         long double _Complex z;
89         __real__ z = real.ld;
90         __imag__ z = imag.ld;
91         
92         return z;
93 }