/* This file is distributed under the University of Illinois Open Source * License. See LICENSE.TXT for details. */ /* long double __gcc_qsub(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_qsub(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; } |