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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 "../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
     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