if (ax < pio3_4)
{
if (x > 0)
- {
- z = x - pio2_1;
- if (!__float_and_test28 (ax, pio2_24b))
- {
- y[0] = z - pio2_1t;
- y[1] = (z - y[0]) - pio2_1t;
- }
- else
- {
- z -= pio2_2;
- y[0] = z - pio2_2t;
- y[1] = (z - y[0]) - pio2_2t;
- }
- return 1;
- }
+ {
+ z = x - pio2_1;
+ if (!__float_and_test28 (ax, pio2_24b))
+ {
+ y[0] = z - pio2_1t;
+ y[1] = (z - y[0]) - pio2_1t;
+ }
+ else
+ {
+ z -= pio2_2;
+ y[0] = z - pio2_2t;
+ y[1] = (z - y[0]) - pio2_2t;
+ }
+ return 1;
+ }
else
- {
- z = x + pio2_1;
- if (!__float_and_test28 (ax, pio2_24b))
- {
- y[0] = z + pio2_1t;
- y[1] = (z - y[0]) + pio2_1t;
- }
- else
- {
- z += pio2_2;
- y[0] = z + pio2_2t;
- y[1] = (z - y[0]) + pio2_2t;
- }
- return -1;
- }
+ {
+ z = x + pio2_1;
+ if (!__float_and_test28 (ax, pio2_24b))
+ {
+ y[0] = z + pio2_1t;
+ y[1] = (z - y[0]) + pio2_1t;
+ }
+ else
+ {
+ z += pio2_2;
+ y[0] = z + pio2_2t;
+ y[1] = (z - y[0]) + pio2_2t;
+ }
+ return -1;
+ }
}
if (ax <= pio2_2e7)
{
- n = floorf (ax * invpio2 + half);
+ n = __floorf (ax * invpio2 + half);
i = (int32_t) n;
r = ax - n * pio2_1;
- w = n * pio2_1t; /* 1st round good to 40 bit */
+ w = n * pio2_1t; /* 1st round good to 40 bit */
if (i < 32 && !__float_and_test24 (ax, npio2_hw[i - 1]))
- {
- y[0] = r - w;
- }
+ {
+ y[0] = r - w;
+ }
else
- {
- float i, j;
- j = __float_and8 (ax);
- y[0] = r - w;
- i = __float_and8 (y[0]);
- if (j / i > 256.0 || j / i < 3.9062500e-3)
- { /* 2nd iterations needed, good to 57 */
- t = r;
- w = n * pio2_2;
- r = t - w;
- w = n * pio2_2t - ((t - r) - w);
- y[0] = r - w;
- i = __float_and8 (y[0]);
- if (j / i > 33554432 || j / i < 2.9802322e-8)
- { /* 3rd iteration needed, 74 bits acc */
- t = r;
- w = n * pio2_3;
- r = t - w;
- w = n * pio2_3t - ((t - r) - w);
- y[0] = r - w;
- }
- }
- }
+ {
+ float i, j;
+ j = __float_and8 (ax);
+ y[0] = r - w;
+ i = __float_and8 (y[0]);
+ if (j / i > 256.0 || j / i < 3.9062500e-3)
+ { /* 2nd iterations needed, good to 57 */
+ t = r;
+ w = n * pio2_2;
+ r = t - w;
+ w = n * pio2_2t - ((t - r) - w);
+ y[0] = r - w;
+ i = __float_and8 (y[0]);
+ if (j / i > 33554432 || j / i < 2.9802322e-8)
+ { /* 3rd iteration needed, 74 bits acc */
+ t = r;
+ w = n * pio2_3;
+ r = t - w;
+ w = n * pio2_3t - ((t - r) - w);
+ y[0] = r - w;
+ }
+ }
+ }
y[1] = (r - y[0]) - w;
if (x < 0)
- {
- y[0] = -y[0];
- y[1] = -y[1];
- return -i;
- }
+ {
+ y[0] = -y[0];
+ y[1] = -y[1];
+ return -i;
+ }
else
- {
- return i;
- }
+ {
+ return i;
+ }
}
/* all other (large) arguments */
e0 = __float_and8 (ax / 128.0);
z = ax / e0;
- tx[0] = floorf (z);
+ tx[0] = __floorf (z);
z = (z - tx[0]) * two8;
- tx[1] = floorf (z);
+ tx[1] = __floorf (z);
z = (z - tx[1]) * two8;
- tx[2] = floorf (z);
+ tx[2] = __floorf (z);
nx = 3;
while (tx[nx - 1] == zero)
static const float PIo2[] = {
- 1.5703125000e+00, /* 0x3fc90000 */
- 4.5776367188e-04, /* 0x39f00000 */
- 2.5987625122e-05, /* 0x37da0000 */
- 7.5437128544e-08, /* 0x33a20000 */
- 6.0026650317e-11, /* 0x2e840000 */
- 7.3896444519e-13, /* 0x2b500000 */
- 5.3845816694e-15, /* 0x27c20000 */
- 5.6378512969e-18, /* 0x22d00000 */
- 8.3009228831e-20, /* 0x1fc40000 */
- 3.2756352257e-22, /* 0x1bc60000 */
- 6.3331015649e-25, /* 0x17440000 */
+ 1.5703125000e+00, /* 0x3fc90000 */
+ 4.5776367188e-04, /* 0x39f00000 */
+ 2.5987625122e-05, /* 0x37da0000 */
+ 7.5437128544e-08, /* 0x33a20000 */
+ 6.0026650317e-11, /* 0x2e840000 */
+ 7.3896444519e-13, /* 0x2b500000 */
+ 5.3845816694e-15, /* 0x27c20000 */
+ 5.6378512969e-18, /* 0x22d00000 */
+ 8.3009228831e-20, /* 0x1fc40000 */
+ 3.2756352257e-22, /* 0x1bc60000 */
+ 6.3331015649e-25, /* 0x17440000 */
};
for (i = 0; i <= jk; i++)
{
for (j = 0, fw = 0.0; j <= jx; j++)
- fw += x[j] * f[jx + i - j];
+ fw += x[j] * f[jx + i - j];
q[i] = fw;
}
/* distill q[] into iq[] reversingly */
for (i = 0, j = jz, z = q[jz]; j > 0; i++, j--)
{
- fw = truncf (twon8 * z);
+ fw = __truncf (twon8 * z);
iq[i] = (int32_t) (z - two8 * fw);
z = q[j - 1] + fw;
}
/* compute n */
- z = __scalbnf (z, q0); /* actual value of z */
- z -= 8.0 * floorf (z * 0.125); /* trim off integer >= 8 */
+ z = __scalbnf (z, q0); /* actual value of z */
+ z -= 8.0 * __floorf (z * 0.125); /* trim off integer >= 8 */
n = (int32_t) z;
- z -= truncf (z);
+ z -= __truncf (z);
ih = 0;
if (q0 > 0)
- { /* need iq[jz-1] to determine n */
+ { /* need iq[jz-1] to determine n */
i = (iq[jz - 1] >> (8 - q0));
n += i;
iq[jz - 1] -= i << (8 - q0);
ih = 2;
if (ih > 0)
- { /* q > 0.5 */
+ { /* q > 0.5 */
n += 1;
carry = 0;
for (i = 0; i < jz; i++)
- { /* compute 1-q */
- j = iq[i];
- if (carry == 0)
- {
- if (j != 0)
- {
- carry = 1;
- iq[i] = 0x100 - j;
- }
- }
- else
- iq[i] = 0xff - j;
- }
+ { /* compute 1-q */
+ j = iq[i];
+ if (carry == 0)
+ {
+ if (j != 0)
+ {
+ carry = 1;
+ iq[i] = 0x100 - j;
+ }
+ }
+ else
+ iq[i] = 0xff - j;
+ }
if (q0 > 0)
- { /* rare case: chance is 1 in 12 */
- switch (q0)
- {
- case 1:
- iq[jz - 1] &= 0x7f;
- break;
- case 2:
- iq[jz - 1] &= 0x3f;
- break;
- }
- }
+ { /* rare case: chance is 1 in 12 */
+ switch (q0)
+ {
+ case 1:
+ iq[jz - 1] &= 0x7f;
+ break;
+ case 2:
+ iq[jz - 1] &= 0x3f;
+ break;
+ }
+ }
if (ih == 2)
- {
- z = one - z;
- if (carry != 0)
- z -= __scalbnf (one, q0);
- }
+ {
+ z = one - z;
+ if (carry != 0)
+ z -= __scalbnf (one, q0);
+ }
}
/* check if recomputation is needed */
{
j = 0;
for (i = jz - 1; i >= jk; i--)
- j |= iq[i];
+ j |= iq[i];
if (j == 0)
- { /* need recomputation */
- for (k = 1; iq[jk - k] == 0; k++); /* k = no. of terms needed */
+ { /* need recomputation */
+ for (k = 1; iq[jk - k] == 0; k++); /* k = no. of terms needed */
- for (i = jz + 1; i <= jz + k; i++)
- { /* add q[jz+1] to q[jz+k] */
- f[jx + i] = two_over_pi[jv + i];
- for (j = 0, fw = 0.0; j <= jx; j++)
- fw += x[j] * f[jx + i - j];
- q[i] = fw;
- }
- jz += k;
- goto recompute;
- }
+ for (i = jz + 1; i <= jz + k; i++)
+ { /* add q[jz+1] to q[jz+k] */
+ f[jx + i] = two_over_pi[jv + i];
+ for (j = 0, fw = 0.0; j <= jx; j++)
+ fw += x[j] * f[jx + i - j];
+ q[i] = fw;
+ }
+ jz += k;
+ goto recompute;
+ }
}
/* chop off zero terms */
jz -= 1;
q0 -= 8;
while (iq[jz] == 0)
- {
- jz--;
- q0 -= 8;
- }
+ {
+ jz--;
+ q0 -= 8;
+ }
}
else
- { /* break z into 8-bit if necessary */
+ { /* break z into 8-bit if necessary */
z = __scalbnf (z, -q0);
if (z >= two8)
- {
- fw = truncf (twon8 * z);
- iq[jz] = (int32_t) (z - two8 * fw);
- jz += 1;
- q0 += 8;
- iq[jz] = (int32_t) fw;
- }
+ {
+ fw = __truncf (twon8 * z);
+ iq[jz] = (int32_t) (z - two8 * fw);
+ jz += 1;
+ q0 += 8;
+ iq[jz] = (int32_t) fw;
+ }
else
- iq[jz] = (int32_t) z;
+ iq[jz] = (int32_t) z;
}
/* convert integer "bit" chunk to floating-point value */
for (i = jz; i >= 0; i--)
{
for (fw = 0.0, k = 0; k <= jp && k <= jz - i; k++)
- fw += PIo2[k] * q[i + k];
+ fw += PIo2[k] * q[i + k];
fq[jz - i] = fw;
}