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 <math.h> 7 8 #if !defined(INFINITY) && defined(HUGE_VAL) 9 #define INFINITY HUGE_VAL 10 #endif /* INFINITY */ 11 12 #define makeFinite(x) { \ 13 (x).s.hi = __builtin_copysign(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 = logb(__builtin_fmax( __builtin_fabs(cDD.s.hi), __builtin_fabs(dDD.s.hi) )); 30 31 if (isfinite(logbw)) 32 { 33 ilogbw = (int)logbw; 34 35 cDD.s.hi = scalbn(cDD.s.hi, -ilogbw); 36 cDD.s.lo = scalbn(cDD.s.lo, -ilogbw); 37 dDD.s.hi = scalbn(dDD.s.hi, -ilogbw); 38 dDD.s.lo = 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 = scalbn(real.s.hi, -ilogbw); 49 real.s.lo = scalbn(real.s.lo, -ilogbw); 50 imag.s.hi = scalbn(imag.s.hi, -ilogbw); 51 imag.s.lo = scalbn(imag.s.lo, -ilogbw); 52 53 if (isnan(real.s.hi) && 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) && (!isnan(aDD.s.hi) || !isnan(bDD.s.hi))) 60 { 61 real.s.hi = __builtin_copysign(INFINITY,cDD.s.hi) * aDD.s.hi; 62 real.s.lo = 0.0; 63 imag.s.hi = __builtin_copysign(INFINITY,cDD.s.hi) * bDD.s.hi; 64 imag.s.lo = 0.0; 65 } 66 67 else if ((isinf(aDD.s.hi) || isinf(bDD.s.hi)) && isfinite(cDD.s.hi) && isfinite(dDD.s.hi)) 68 { 69 makeFinite(aDD); 70 makeFinite(bDD); 71 real.s.hi = INFINITY * (aDD.s.hi*cDD.s.hi + bDD.s.hi*dDD.s.hi); 72 real.s.lo = 0.0; 73 imag.s.hi = INFINITY * (bDD.s.hi*cDD.s.hi - aDD.s.hi*dDD.s.hi); 74 imag.s.lo = 0.0; 75 } 76 77 else if ((isinf(cDD.s.hi) || isinf(dDD.s.hi)) && isfinite(aDD.s.hi) && isfinite(bDD.s.hi)) 78 { 79 makeFinite(cDD); 80 makeFinite(dDD); 81 real.s.hi = __builtin_copysign(0.0,(aDD.s.hi*cDD.s.hi + bDD.s.hi*dDD.s.hi)); 82 real.s.lo = 0.0; 83 imag.s.hi = __builtin_copysign(0.0,(bDD.s.hi*cDD.s.hi - aDD.s.hi*dDD.s.hi)); 84 imag.s.lo = 0.0; 85 } 86 } 87 88 long double _Complex z; 89 __real__ z = real.ld; 90 __imag__ z = imag.ld; 91 92 return z; 93 } 94
