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