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 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
