* See __cosl.c for more details about the polynomial.
*/
-/* Long double constants are slow on these arches, and broken on i386. */
-static const volatile double
-T3hi = 0.33333333333333331, /* 0x15555555555555.0p-54 */
-T3lo = 1.8350121769317163e-17, /* 0x15280000000000.0p-108 */
-T5hi = 0.13333333333333336, /* 0x11111111111112.0p-55 */
-T5lo = 1.3051083651294260e-17, /* 0x1e180000000000.0p-109 */
-T7hi = 0.053968253968250494, /* 0x1ba1ba1ba1b827.0p-57 */
-T7lo = 3.1509625637859973e-18, /* 0x1d100000000000.0p-111 */
-pio4_hi = 0.78539816339744828, /* 0x1921fb54442d18.0p-53 */
-pio4_lo = 3.0628711372715500e-17, /* 0x11a80000000000.0p-107 */
-pio4lo_hi = -1.2541394031670831e-20, /* -0x1d9cceba3f91f2.0p-119 */
-pio4lo_lo = 6.1493048227390915e-37; /* 0x1a280000000000.0p-173 */
-#define T3 ((long double)T3hi + T3lo)
-#define T5 ((long double)T5hi + T5lo)
-#define T7 ((long double)T7hi + T7lo)
-#define pio4 ((long double)pio4_hi + pio4_lo)
-#define pio4lo ((long double)pio4lo_hi + pio4lo_lo)
-
-#if 0
static const long double
T3 = 0.333333333333333333180L, /* 0xaaaaaaaaaaaaaaa5.0p-65 */
T5 = 0.133333333333333372290L, /* 0x88888888888893c3.0p-66 */
T7 = 0.0539682539682504975744L, /* 0xdd0dd0dd0dc13ba2.0p-68 */
pio4 = 0.785398163397448309628L, /* 0xc90fdaa22168c235.0p-64 */
pio4lo = -1.25413940316708300586e-20L; /* -0xece675d1fc8f8cbb.0p-130 */
-#endif
static const double
T9 = 0.021869488536312216, /* 0x1664f4882cc1c2.0p-58 */
T31 = -0.0000032609076735050182, /* -0x1b5abef3ba4b59.0p-71 */
T33 = 0.0000023261313142559411; /* 0x13835436c0c87f.0p-71 */
-long double __tanl(long double x, long double y, int iy) {
+long double __tanl(long double x, long double y, int odd) {
long double z, r, v, w, s, a, t;
- long double osign;
- int i;
+ int big, sign;
- iy = iy == 1 ? -1 : 1; /* XXX recover original interface */
- // FIXME: this is wrong, use copysign, signbit or union bithack
- osign = x >= 0 ? 1.0 : -1.0; /* XXX slow, probably wrong for -0 */
- if (fabsl(x) >= 0.67434) {
+ big = fabsl(x) >= 0.67434;
+ if (big) {
+ sign = 0;
if (x < 0) {
+ sign = 1;
x = -x;
y = -y;
}
- z = pio4 - x;
- w = pio4lo - y;
- x = z + w;
+ x = (pio4 - x) + (pio4lo - y);
y = 0.0;
- i = 1;
- } else
- i = 0;
+ }
z = x * x;
w = z * z;
r = T5 + w * (T9 + w * (T13 + w * (T17 + w * (T21 +
v = z * (T7 + w * (T11 + w * (T15 + w * (T19 + w * (T23 +
w * (T27 + w * T31))))));
s = z * x;
- r = y + z * (s * (r + v) + y);
- r += T3 * s;
+ r = y + z * (s * (r + v) + y) + T3 * s;
w = x + r;
- if (i == 1) {
- v = (long double)iy;
- return osign * (v - 2.0 * (x - (w * w / (w + v) - r)));
+ if (big) {
+ s = 1 - 2*odd;
+ v = s - 2.0 * (x + (r - w * w / (w + s)));
+ return sign ? -v : v;
}
- if (iy == 1)
+ if (!odd)
return w;
/*