| /* This file is distributed under the University of Illinois Open Source |
| * License. See LICENSE.TXT for details. |
| */ |
| |
| #include "DD.h" |
| #include <math.h> |
| |
| #if !defined(INFINITY) && defined(HUGE_VAL) |
| #define INFINITY HUGE_VAL |
| #endif /* INFINITY */ |
| |
| #define makeFinite(x) { \ |
| (x).s.hi = __builtin_copysign(isinf((x).s.hi) ? 1.0 : 0.0, (x).s.hi); \ |
| (x).s.lo = 0.0; \ |
| } |
| |
| long double __gcc_qadd(long double, long double); |
| long double __gcc_qsub(long double, long double); |
| long double __gcc_qmul(long double, long double); |
| long double __gcc_qdiv(long double, long double); |
| |
| long double _Complex |
| __divtc3(long double a, long double b, long double c, long double d) |
| { |
| DD cDD = { .ld = c }; |
| DD dDD = { .ld = d }; |
| |
| int ilogbw = 0; |
| const double logbw = logb(__builtin_fmax( __builtin_fabs(cDD.s.hi), __builtin_fabs(dDD.s.hi) )); |
| |
| if (isfinite(logbw)) |
| { |
| ilogbw = (int)logbw; |
| |
| cDD.s.hi = scalbn(cDD.s.hi, -ilogbw); |
| cDD.s.lo = scalbn(cDD.s.lo, -ilogbw); |
| dDD.s.hi = scalbn(dDD.s.hi, -ilogbw); |
| dDD.s.lo = scalbn(dDD.s.lo, -ilogbw); |
| } |
| |
| const long double denom = __gcc_qadd(__gcc_qmul(cDD.ld, cDD.ld), __gcc_qmul(dDD.ld, dDD.ld)); |
| const long double realNumerator = __gcc_qadd(__gcc_qmul(a,cDD.ld), __gcc_qmul(b,dDD.ld)); |
| const long double imagNumerator = __gcc_qsub(__gcc_qmul(b,cDD.ld), __gcc_qmul(a,dDD.ld)); |
| |
| DD real = { .ld = __gcc_qdiv(realNumerator, denom) }; |
| DD imag = { .ld = __gcc_qdiv(imagNumerator, denom) }; |
| |
| real.s.hi = scalbn(real.s.hi, -ilogbw); |
| real.s.lo = scalbn(real.s.lo, -ilogbw); |
| imag.s.hi = scalbn(imag.s.hi, -ilogbw); |
| imag.s.lo = scalbn(imag.s.lo, -ilogbw); |
| |
| if (isnan(real.s.hi) && isnan(imag.s.hi)) |
| { |
| DD aDD = { .ld = a }; |
| DD bDD = { .ld = b }; |
| DD rDD = { .ld = denom }; |
| |
| if ((rDD.s.hi == 0.0) && (!isnan(aDD.s.hi) || !isnan(bDD.s.hi))) |
| { |
| real.s.hi = __builtin_copysign(INFINITY,cDD.s.hi) * aDD.s.hi; |
| real.s.lo = 0.0; |
| imag.s.hi = __builtin_copysign(INFINITY,cDD.s.hi) * bDD.s.hi; |
| imag.s.lo = 0.0; |
| } |
| |
| else if ((isinf(aDD.s.hi) || isinf(bDD.s.hi)) && isfinite(cDD.s.hi) && isfinite(dDD.s.hi)) |
| { |
| makeFinite(aDD); |
| makeFinite(bDD); |
| real.s.hi = INFINITY * (aDD.s.hi*cDD.s.hi + bDD.s.hi*dDD.s.hi); |
| real.s.lo = 0.0; |
| imag.s.hi = INFINITY * (bDD.s.hi*cDD.s.hi - aDD.s.hi*dDD.s.hi); |
| imag.s.lo = 0.0; |
| } |
| |
| else if ((isinf(cDD.s.hi) || isinf(dDD.s.hi)) && isfinite(aDD.s.hi) && isfinite(bDD.s.hi)) |
| { |
| makeFinite(cDD); |
| makeFinite(dDD); |
| real.s.hi = __builtin_copysign(0.0,(aDD.s.hi*cDD.s.hi + bDD.s.hi*dDD.s.hi)); |
| real.s.lo = 0.0; |
| imag.s.hi = __builtin_copysign(0.0,(bDD.s.hi*cDD.s.hi - aDD.s.hi*dDD.s.hi)); |
| imag.s.lo = 0.0; |
| } |
| } |
| |
| long double _Complex z; |
| __real__ z = real.ld; |
| __imag__ z = imag.ld; |
| |
| return z; |
| } |