|  | /* This file is distributed under the University of Illinois Open Source | 
|  | *  License. See LICENSE.TXT for details. | 
|  | */ | 
|  |  | 
|  | /* long double __gcc_qadd(long double x, long double y); | 
|  | * This file implements the PowerPC 128-bit double-double add operation. | 
|  | * This implementation is shamelessly cribbed from Apple's DDRT, circa 1993(!) | 
|  | */ | 
|  |  | 
|  | #include "DD.h" | 
|  |  | 
|  | long double __gcc_qadd(long double x, long double y) | 
|  | { | 
|  | static const uint32_t infinityHi = UINT32_C(0x7ff00000); | 
|  |  | 
|  | DD dst = { .ld = x }, src = { .ld = y }; | 
|  |  | 
|  | register double A = dst.s.hi, a = dst.s.lo, | 
|  | B = src.s.hi, b = src.s.lo; | 
|  |  | 
|  | /* If both operands are zero: */ | 
|  | if ((A == 0.0) && (B == 0.0)) { | 
|  | dst.s.hi = A + B; | 
|  | dst.s.lo = 0.0; | 
|  | return dst.ld; | 
|  | } | 
|  |  | 
|  | /* If either operand is NaN or infinity: */ | 
|  | const doublebits abits = { .d = A }; | 
|  | const doublebits bbits = { .d = B }; | 
|  | if ((((uint32_t)(abits.x >> 32) & infinityHi) == infinityHi) || | 
|  | (((uint32_t)(bbits.x >> 32) & infinityHi) == infinityHi)) { | 
|  | dst.s.hi = A + B; | 
|  | dst.s.lo = 0.0; | 
|  | return dst.ld; | 
|  | } | 
|  |  | 
|  | /* If the computation overflows: */ | 
|  | /* This may be playing things a little bit fast and loose, but it will do for a start. */ | 
|  | const double testForOverflow = A + (B + (a + b)); | 
|  | const doublebits testbits = { .d = testForOverflow }; | 
|  | if (((uint32_t)(testbits.x >> 32) & infinityHi) == infinityHi) { | 
|  | dst.s.hi = testForOverflow; | 
|  | dst.s.lo = 0.0; | 
|  | return dst.ld; | 
|  | } | 
|  |  | 
|  | double H, h; | 
|  | double T, t; | 
|  | double W, w; | 
|  | double Y; | 
|  |  | 
|  | H = B + (A - (A + B)); | 
|  | T = b + (a - (a + b)); | 
|  | h = A + (B - (A + B)); | 
|  | t = a + (b - (a + b)); | 
|  |  | 
|  | if (local_fabs(A) <= local_fabs(B)) | 
|  | w = (a + b) + h; | 
|  | else | 
|  | w = (a + b) + H; | 
|  |  | 
|  | W = (A + B) + w; | 
|  | Y = (A + B) - W; | 
|  | Y += w; | 
|  |  | 
|  | if (local_fabs(a) <= local_fabs(b)) | 
|  | w = t + Y; | 
|  | else | 
|  | w = T + Y; | 
|  |  | 
|  | dst.s.hi = Y = W + w; | 
|  | dst.s.lo = (W - Y) + w; | 
|  |  | 
|  | return dst.ld; | 
|  | } |