#ifndef NO_IEEE_Scale
#define Avoid_Underflow
#undef tinytens
-/* The factor of 2^53 in tinytens[4] helps us avoid setting the underflow */
+/* The factor of 2^106 in tinytens[4] helps us avoid setting the underflow */
/* flag unnecessarily. It leads to a song and dance at the end of strtod. */
-static _CONST double tinytens[] = { 1e-16, 1e-32, 1e-64, 1e-128,
- 9007199254740992.e-256
- };
+static _CONST double tinytens[] = { 1e-16, 1e-32,
+#ifdef _DOUBLE_IS_32BITS
+ 0.0, 0.0, 0.0
+#else
+ 1e-64, 1e-128,
+ 9007199254740992. * 9007199254740992.e-256
+#endif
+ };
+
#endif
#endif
#define Rounding Flt_Rounds
#endif
+#ifdef Avoid_Underflow /*{*/
+ static double
+_DEFUN (sulp, (x, scale),
+ U x _AND
+ int scale)
+{
+ U u;
+ double rv;
+ int i;
+
+ rv = ulp(dval(x));
+ if (!scale || (i = 2*P + 1 - ((dword0(x) & Exp_mask) >> Exp_shift)) <= 0)
+ return rv; /* Is there an example where i <= 0 ? */
+ dword0(u) = Exp_1 + (i << Exp_shift);
+#ifndef _DOUBLE_IS_32BITS
+ dword1(u) = 0;
+#endif
+ return rv * u.d;
+ }
+#endif /*}*/
+
+
#ifndef NO_HEX_FP
static void
U aadj1, rv, rv0;
Long L;
__ULong y, z;
- _Bigint *bb, *bb1, *bd, *bd0, *bs, *delta;
+ _Bigint *bb = NULL, *bb1, *bd = NULL, *bd0, *bs = NULL, *delta = NULL;
+#ifdef Avoid_Underflow
+ __ULong Lsb, Lsb1;
+#endif
#ifdef SET_INEXACT
int inexact, oldinexact;
#endif
switch((i = gethex(ptr, &s, &fpi1, &exp, &bb, sign)) & STRTOG_Retmask) {
case STRTOG_NoNumber:
s = s00;
+ sign = 0;
+ /* FALLTHROUGH */
case STRTOG_Zero:
break;
default:
}
s0 = s;
y = z = 0;
- for(nd = nf = 0; (c = *s) >= '0' && c <= '9'; nd++, s++) {
- if (nd < DBL_DIG + 1) {
- if (nd < 9)
- y = 10*y + c - '0';
- else
- z = 10*z + c - '0';
- }
- }
+ for(nd = nf = 0; (c = *s) >= '0' && c <= '9'; nd++, s++)
+ if (nd < 9)
+ y = 10*y + c - '0';
+ else
+ z = 10*z + c - '0';
nd0 = nd;
if (strncmp (s, _localeconv_r (ptr)->decimal_point,
strlen (_localeconv_r (ptr)->decimal_point)) == 0)
nz++;
if (c -= '0') {
nf += nz;
- for(i = 1; i < nz; i++) {
- if (nd++ <= DBL_DIG + 1) {
- if (nd < 10)
- y *= 10;
- else
- z *= 10;
- }
- }
- if (nd++ <= DBL_DIG + 1) {
- if (nd < 10)
- y = 10*y + c;
- else
- z = 10*z + c;
- }
+ for(i = 1; i < nz; i++)
+ if (nd++ < 9)
+ y *= 10;
+ else if (nd <= DBL_DIG + 1)
+ z *= 10;
+ if (nd++ < 9)
+ y = 10*y + c;
+ else if (nd <= DBL_DIG + 1)
+ z = 10*z + c;
nz = 0;
}
}
/* Put digits into bd: true value = bd * 10^e */
bd0 = s2b(ptr, s0, nd0, nd, y);
+ if (bd0 == NULL)
+ goto ovfl;
for(;;) {
bd = Balloc(ptr,bd0->_k);
+ if (bd == NULL)
+ goto ovfl;
Bcopy(bd, bd0);
bb = d2b(ptr,dval(rv), &bbe, &bbbits); /* rv = bb * 2^bbe */
+ if (bb == NULL)
+ goto ovfl;
bs = i2b(ptr,1);
+ if (bs == NULL)
+ goto ovfl;
if (e >= 0) {
bb2 = bb5 = 0;
bs2++;
#endif
#ifdef Avoid_Underflow
+ Lsb = LSB;
+ Lsb1 = 0;
j = bbe - scale;
i = j + bbbits - 1; /* logb(rv) */
- if (i < Emin) /* denormal */
- j += P - Emin;
- else
- j = P + 1 - bbbits;
+ j = P + 1 - bbbits;
+ if (i < Emin) { /* denormal */
+ i = Emin - i;
+ j -= i;
+ if (i < 32)
+ Lsb <<= i;
+ else
+ Lsb1 = Lsb << (i-32);
+ }
#else /*Avoid_Underflow*/
#ifdef Sudden_Underflow
#ifdef IBM
}
if (bb5 > 0) {
bs = pow5mult(ptr, bs, bb5);
+ if (bs == NULL)
+ goto ovfl;
bb1 = mult(ptr, bs, bb);
+ if (bb1 == NULL)
+ goto ovfl;
Bfree(ptr, bb);
bb = bb1;
}
- if (bb2 > 0)
+ if (bb2 > 0) {
bb = lshift(ptr, bb, bb2);
- if (bd5 > 0)
+ if (bb == NULL)
+ goto ovfl;
+ }
+ if (bd5 > 0) {
bd = pow5mult(ptr, bd, bd5);
- if (bd2 > 0)
+ if (bd == NULL)
+ goto ovfl;
+ }
+ if (bd2 > 0) {
bd = lshift(ptr, bd, bd2);
- if (bs2 > 0)
+ if (bd == NULL)
+ goto ovfl;
+ }
+ if (bs2 > 0) {
bs = lshift(ptr, bs, bs2);
+ if (bs == NULL)
+ goto ovfl;
+ }
delta = diff(ptr, bb, bd);
+ if (delta == NULL)
+ goto ovfl;
dsign = delta->_sign;
delta->_sign = 0;
i = cmp(delta, bs);
else if (!dsign) {
adj = -1.;
if (!dword1(rv)
- && !(dword0(rv) & Frac_mask)) {
+ && !(dword0(rv) & Frac_mask)) {
y = dword0(rv) & Exp_mask;
#ifdef Avoid_Underflow
if (!scale || y > 2*P*Exp_msk1)
#endif /*Sudden_Underflow*/
#endif /*Avoid_Underflow*/
adj *= ulp(dval(rv));
- if (dsign)
+ if (dsign) {
+ if (dword0(rv) == Big0 && dword1(rv) == Big1)
+ goto ovfl;
dval(rv) += adj;
else
dval(rv) -= adj;
#endif
0xffffffff)) {
/*boundary case -- increment exponent*/
+ if (dword0(rv) == Big0 && dword1(rv) == Big1)
+ goto ovfl;
dword0(rv) = (dword0(rv) & Exp_mask)
+ Exp_msk1
#ifdef IBM
#endif
}
#ifndef ROUND_BIASED
+#ifdef Avoid_Underflow
+ if (Lsb1) {
+ if (!(dword0(rv) & Lsb1))
+ break;
+ }
+ else if (!(dword1(rv) & Lsb))
+ break;
+#else
if (!(dword1(rv) & LSB))
break;
+#endif
#endif
if (dsign)
+#ifdef Avoid_Underflow
+ dval(rv) += sulp(rv, scale);
+#else
dval(rv) += ulp(dval(rv));
+#endif
#ifndef ROUND_BIASED
else {
+#ifdef Avoid_Underflow
+ dval(rv) -= sulp(rv, scale);
+#else
dval(rv) -= ulp(dval(rv));
+#endif
#ifndef Sudden_Underflow
if (!dval(rv))
goto undfl;
#ifdef Avoid_Underflow
if (scale && y <= 2*P*Exp_msk1) {
if (aadj <= 0x7fffffff) {
- if ((z = aadj) <= 0)
+ if ((z = aadj) == 0)
z = 1;
aadj = z;
dval(aadj1) = dsign ? aadj : -aadj;