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Edward O'Callaghan33c13472009-08-08 04:43:56 +00001/* This file is distributed under the University of Illinois Open Source
2 * License. See LICENSE.TXT for details.
3 */
Daniel Dunbarb3a69012009-06-26 16:47:03 +00004
5#include "DD.h"
Daniel Dunbar86030242011-11-16 07:33:00 +00006#include "../int_math.h"
Daniel Dunbarb3a69012009-06-26 16:47:03 +00007
Daniel Dunbarc25c6d12011-11-16 07:33:06 +00008#if !defined(CRT_INFINITY) && defined(HUGE_VAL)
9#define CRT_INFINITY HUGE_VAL
10#endif /* CRT_INFINITY */
Edward O'Callaghan33c13472009-08-08 04:43:56 +000011
Daniel Dunbar86030242011-11-16 07:33:00 +000012#define makeFinite(x) { \
Daniel Dunbarc25c6d12011-11-16 07:33:06 +000013 (x).s.hi = crt_copysign(crt_isinf((x).s.hi) ? 1.0 : 0.0, (x).s.hi); \
Daniel Dunbar86030242011-11-16 07:33:00 +000014 (x).s.lo = 0.0; \
15 }
Daniel Dunbarb3a69012009-06-26 16:47:03 +000016
17long double __gcc_qadd(long double, long double);
18long double __gcc_qsub(long double, long double);
19long double __gcc_qmul(long double, long double);
20long double __gcc_qdiv(long double, long double);
21
22long 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;
Daniel Dunbarc25c6d12011-11-16 07:33:06 +000029 const double logbw = crt_logb(crt_fmax(crt_fabs(cDD.s.hi), crt_fabs(dDD.s.hi) ));
Daniel Dunbarb3a69012009-06-26 16:47:03 +000030
Daniel Dunbar86030242011-11-16 07:33:00 +000031 if (crt_isfinite(logbw))
Daniel Dunbarb3a69012009-06-26 16:47:03 +000032 {
33 ilogbw = (int)logbw;
34
Daniel Dunbarc25c6d12011-11-16 07:33:06 +000035 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);
Daniel Dunbarb3a69012009-06-26 16:47:03 +000039 }
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
Daniel Dunbarc25c6d12011-11-16 07:33:06 +000048 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);
Daniel Dunbarb3a69012009-06-26 16:47:03 +000052
Daniel Dunbar86030242011-11-16 07:33:00 +000053 if (crt_isnan(real.s.hi) && crt_isnan(imag.s.hi))
Daniel Dunbarb3a69012009-06-26 16:47:03 +000054 {
55 DD aDD = { .ld = a };
56 DD bDD = { .ld = b };
57 DD rDD = { .ld = denom };
58
Daniel Dunbar86030242011-11-16 07:33:00 +000059 if ((rDD.s.hi == 0.0) && (!crt_isnan(aDD.s.hi) ||
60 !crt_isnan(bDD.s.hi)))
Daniel Dunbarb3a69012009-06-26 16:47:03 +000061 {
Daniel Dunbarc25c6d12011-11-16 07:33:06 +000062 real.s.hi = crt_copysign(CRT_INFINITY,cDD.s.hi) * aDD.s.hi;
Edward O'Callaghan8bf1e092009-08-09 18:41:02 +000063 real.s.lo = 0.0;
Daniel Dunbarc25c6d12011-11-16 07:33:06 +000064 imag.s.hi = crt_copysign(CRT_INFINITY,cDD.s.hi) * bDD.s.hi;
Edward O'Callaghan8bf1e092009-08-09 18:41:02 +000065 imag.s.lo = 0.0;
Daniel Dunbarb3a69012009-06-26 16:47:03 +000066 }
67
Daniel Dunbar86030242011-11-16 07:33:00 +000068 else if ((crt_isinf(aDD.s.hi) || crt_isinf(bDD.s.hi)) &&
69 crt_isfinite(cDD.s.hi) && crt_isfinite(dDD.s.hi))
Daniel Dunbarb3a69012009-06-26 16:47:03 +000070 {
71 makeFinite(aDD);
72 makeFinite(bDD);
Daniel Dunbarc25c6d12011-11-16 07:33:06 +000073 real.s.hi = CRT_INFINITY * (aDD.s.hi*cDD.s.hi + bDD.s.hi*dDD.s.hi);
Edward O'Callaghan8bf1e092009-08-09 18:41:02 +000074 real.s.lo = 0.0;
Daniel Dunbarc25c6d12011-11-16 07:33:06 +000075 imag.s.hi = CRT_INFINITY * (bDD.s.hi*cDD.s.hi - aDD.s.hi*dDD.s.hi);
Edward O'Callaghan8bf1e092009-08-09 18:41:02 +000076 imag.s.lo = 0.0;
Daniel Dunbarb3a69012009-06-26 16:47:03 +000077 }
78
Daniel Dunbar86030242011-11-16 07:33:00 +000079 else if ((crt_isinf(cDD.s.hi) || crt_isinf(dDD.s.hi)) &&
80 crt_isfinite(aDD.s.hi) && crt_isfinite(bDD.s.hi))
Daniel Dunbarb3a69012009-06-26 16:47:03 +000081 {
82 makeFinite(cDD);
83 makeFinite(dDD);
Daniel Dunbarc25c6d12011-11-16 07:33:06 +000084 real.s.hi = crt_copysign(0.0,(aDD.s.hi*cDD.s.hi + bDD.s.hi*dDD.s.hi));
Edward O'Callaghan8bf1e092009-08-09 18:41:02 +000085 real.s.lo = 0.0;
Daniel Dunbarc25c6d12011-11-16 07:33:06 +000086 imag.s.hi = crt_copysign(0.0,(bDD.s.hi*cDD.s.hi - aDD.s.hi*dDD.s.hi));
Edward O'Callaghan8bf1e092009-08-09 18:41:02 +000087 imag.s.lo = 0.0;
Daniel Dunbarb3a69012009-06-26 16:47:03 +000088 }
89 }
90
91 long double _Complex z;
92 __real__ z = real.ld;
93 __imag__ z = imag.ld;
94
95 return z;
96}