long double
log10l(long double x) {
long double y, z;
enum fp_direction_type rd;
int n;
if (!finitel(x))
return (x + fabsl(x)); /* x is +-INF or NaN */
else if (x > zero) {
n = ilogbl(x);
if (n < 0)
n += 1;
rd = __swapRD(fp_nearest);
y = n;
x = scalbnl(x, -n);
z = y * log10_2lo + ivln10 * logl(x);
z += y * log10_2hi;
if (rd != fp_nearest)
(void) __swapRD(rd);
return (z);
} else if (x == zero) /* -INF */
return (-one / zero);
else /* x <0 , return NaN */
return (zero / zero);
}
int
irintl(long double x) {
enum fp_direction_type rd;
rd = __swapRD(fp_nearest);
(void) __swapRD(rd); /* restore Rounding Direction */
switch (rd) {
case fp_nearest:
if (x < 2147483647.5L && x >= -2147483648.5L)
return ((int)rintl(x));
break;
case fp_tozero:
if (x < 2147483648.0L && x > -2147483649.0L)
return ((int)rintl(x));
break;
case fp_positive:
if (x <= 2147483647.0L && x > -2147483649.0L)
return ((int)rintl(x));
break;
case fp_negative:
if (x < 2147483648.0L && x >= -2147483648.0L)
return ((int)rintl(x));
break;
}
return ((int)copysignl(1.0e100L, x));
}
long double
hypotl(long double x, long double y) {
int n0, n1, n2, n3;
long double t1, t2, y1, y2, w;
int *px = (int *) &x, *py = (int *) &y;
int *pt1 = (int *) &t1, *py1 = (int *) &y1;
enum fp_direction_type rd;
int j, k, nx, ny, nz;
if ((*(int *) &one) != 0) { /* determine word ordering */
n0 = 0;
n1 = 1;
n2 = 2;
n3 = 3;
} else {
n0 = 3;
n1 = 2;
n2 = 1;
n3 = 0;
}
px[n0] &= 0x7fffffff; /* clear sign bit of x and y */
py[n0] &= 0x7fffffff;
k = 0x7fff0000;
nx = px[n0] & k; /* exponent of x and y */
ny = py[n0] & k;
if (ny > nx) {
w = x;
x = y;
y = w;
nz = ny;
ny = nx;
nx = nz;
} /* force x > y */
if ((nx - ny) >= 0x00730000)
return (x + y); /* x/y >= 2**116 */
if (nx < 0x5ff30000 && ny > 0x205b0000) { /* medium x,y */
/* save and set RD to Rounding to nearest */
rd = __swapRD(fp_nearest);
w = x - y;
if (w > y) {
pt1[n0] = px[n0];
pt1[n1] = px[n1];
pt1[n2] = pt1[n3] = 0;
t2 = x - t1;
x = sqrtl(t1 * t1 - (y * (-y) - t2 * (x + t1)));
} else {
x = x + x;
py1[n0] = py[n0];
py1[n1] = py[n1];
py1[n2] = py1[n3] = 0;
y2 = y - y1;
pt1[n0] = px[n0];
pt1[n1] = px[n1];
pt1[n2] = pt1[n3] = 0;
t2 = x - t1;
x = sqrtl(t1 * y1 - (w * (-w) - (t2 * y1 + y2 * x)));
}
if (rd != fp_nearest)
(void) __swapRD(rd); /* restore rounding mode */
return (x);
} else {
if (nx == k || ny == k) { /* x or y is INF or NaN */
if (isinfl(x))
t2 = x;
else if (isinfl(y))
t2 = y;
else
t2 = x + y; /* invalid if x or y is sNaN */
return (t2);
}
if (ny == 0) {
if (y == zero || x == zero)
return (x + y);
t1 = scalbnl(one, 16381);
x *= t1;
y *= t1;
return (scalbnl(one, -16381) * hypotl(x, y));
}
j = nx - 0x3fff0000;
px[n0] -= j;
py[n0] -= j;
pt1[n0] = nx;
pt1[n1] = pt1[n2] = pt1[n3] = 0;
return (t1 * hypotl(x, y));
}
}