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 "../int_math.h"
7
8 #if !defined(CRT_INFINITY) && defined(HUGE_VAL)
9 #define CRT_INFINITY HUGE_VAL
10 #endif /* CRT_INFINITY */
11
12 #define makeFinite(x) { \
13 (x).s.hi = crt_copysign(crt_isinf((x).s.hi) ? 1.0 : 0.0, (x).s.hi); \
14 (x).s.lo = 0.0; \
15 }
16
17 long double _Complex
__divtc3(long double a,long double b,long double c,long double d)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 = crt_logb(crt_fmax(crt_fabs(cDD.s.hi), crt_fabs(dDD.s.hi) ));
25
26 if (crt_isfinite(logbw))
27 {
28 ilogbw = (int)logbw;
29
30 cDD.s.hi = crt_scalbn(cDD.s.hi, -ilogbw);
31 cDD.s.lo = crt_scalbn(cDD.s.lo, -ilogbw);
32 dDD.s.hi = crt_scalbn(dDD.s.hi, -ilogbw);
33 dDD.s.lo = crt_scalbn(dDD.s.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.s.hi = crt_scalbn(real.s.hi, -ilogbw);
44 real.s.lo = crt_scalbn(real.s.lo, -ilogbw);
45 imag.s.hi = crt_scalbn(imag.s.hi, -ilogbw);
46 imag.s.lo = crt_scalbn(imag.s.lo, -ilogbw);
47
48 if (crt_isnan(real.s.hi) && crt_isnan(imag.s.hi))
49 {
50 DD aDD = { .ld = a };
51 DD bDD = { .ld = b };
52 DD rDD = { .ld = denom };
53
54 if ((rDD.s.hi == 0.0) && (!crt_isnan(aDD.s.hi) ||
55 !crt_isnan(bDD.s.hi)))
56 {
57 real.s.hi = crt_copysign(CRT_INFINITY,cDD.s.hi) * aDD.s.hi;
58 real.s.lo = 0.0;
59 imag.s.hi = crt_copysign(CRT_INFINITY,cDD.s.hi) * bDD.s.hi;
60 imag.s.lo = 0.0;
61 }
62
63 else if ((crt_isinf(aDD.s.hi) || crt_isinf(bDD.s.hi)) &&
64 crt_isfinite(cDD.s.hi) && crt_isfinite(dDD.s.hi))
65 {
66 makeFinite(aDD);
67 makeFinite(bDD);
68 real.s.hi = CRT_INFINITY * (aDD.s.hi*cDD.s.hi + bDD.s.hi*dDD.s.hi);
69 real.s.lo = 0.0;
70 imag.s.hi = CRT_INFINITY * (bDD.s.hi*cDD.s.hi - aDD.s.hi*dDD.s.hi);
71 imag.s.lo = 0.0;
72 }
73
74 else if ((crt_isinf(cDD.s.hi) || crt_isinf(dDD.s.hi)) &&
75 crt_isfinite(aDD.s.hi) && crt_isfinite(bDD.s.hi))
76 {
77 makeFinite(cDD);
78 makeFinite(dDD);
79 real.s.hi = crt_copysign(0.0,(aDD.s.hi*cDD.s.hi + bDD.s.hi*dDD.s.hi));
80 real.s.lo = 0.0;
81 imag.s.hi = crt_copysign(0.0,(bDD.s.hi*cDD.s.hi - aDD.s.hi*dDD.s.hi));
82 imag.s.lo = 0.0;
83 }
84 }
85
86 long double _Complex z;
87 __real__ z = real.ld;
88 __imag__ z = imag.ld;
89
90 return z;
91 }
92