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 __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
__divtc3(long double a,long double b,long double c,long double d)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 = crt_logb(crt_fmax(crt_fabs(cDD.s.hi), crt_fabs(dDD.s.hi) ));
30
31 if (crt_isfinite(logbw))
32 {
33 ilogbw = (int)logbw;
34
35 cDD.s.hi = crt_scalbn(cDD.s.hi, -ilogbw);
36 cDD.s.lo = crt_scalbn(cDD.s.lo, -ilogbw);
37 dDD.s.hi = crt_scalbn(dDD.s.hi, -ilogbw);
38 dDD.s.lo = crt_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 = crt_scalbn(real.s.hi, -ilogbw);
49 real.s.lo = crt_scalbn(real.s.lo, -ilogbw);
50 imag.s.hi = crt_scalbn(imag.s.hi, -ilogbw);
51 imag.s.lo = crt_scalbn(imag.s.lo, -ilogbw);
52
53 if (crt_isnan(real.s.hi) && crt_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) && (!crt_isnan(aDD.s.hi) ||
60 !crt_isnan(bDD.s.hi)))
61 {
62 real.s.hi = crt_copysign(CRT_INFINITY,cDD.s.hi) * aDD.s.hi;
63 real.s.lo = 0.0;
64 imag.s.hi = crt_copysign(CRT_INFINITY,cDD.s.hi) * bDD.s.hi;
65 imag.s.lo = 0.0;
66 }
67
68 else if ((crt_isinf(aDD.s.hi) || crt_isinf(bDD.s.hi)) &&
69 crt_isfinite(cDD.s.hi) && crt_isfinite(dDD.s.hi))
70 {
71 makeFinite(aDD);
72 makeFinite(bDD);
73 real.s.hi = CRT_INFINITY * (aDD.s.hi*cDD.s.hi + bDD.s.hi*dDD.s.hi);
74 real.s.lo = 0.0;
75 imag.s.hi = CRT_INFINITY * (bDD.s.hi*cDD.s.hi - aDD.s.hi*dDD.s.hi);
76 imag.s.lo = 0.0;
77 }
78
79 else if ((crt_isinf(cDD.s.hi) || crt_isinf(dDD.s.hi)) &&
80 crt_isfinite(aDD.s.hi) && crt_isfinite(bDD.s.hi))
81 {
82 makeFinite(cDD);
83 makeFinite(dDD);
84 real.s.hi = crt_copysign(0.0,(aDD.s.hi*cDD.s.hi + bDD.s.hi*dDD.s.hi));
85 real.s.lo = 0.0;
86 imag.s.hi = crt_copysign(0.0,(bDD.s.hi*cDD.s.hi - aDD.s.hi*dDD.s.hi));
87 imag.s.lo = 0.0;
88 }
89 }
90
91 long double _Complex z;
92 __real__ z = real.ld;
93 __imag__ z = imag.ld;
94
95 return z;
96 }
97