fcomplex
cexpf(fcomplex z) {
fcomplex ans;
float x, y, c, s;
double t;
int n, ix, iy, hx, hy;
x = F_RE(z);
y = F_IM(z);
hx = THE_WORD(x);
hy = THE_WORD(y);
ix = hx & 0x7fffffff;
iy = hy & 0x7fffffff;
if (iy == 0) { /* y = 0 */
F_RE(ans) = expf(x);
F_IM(ans) = y;
} else if (ix == 0x7f800000) { /* x is +-inf */
if (hx < 0) {
if (iy >= 0x7f800000) {
F_RE(ans) = zero;
F_IM(ans) = zero;
} else {
sincosf(y, &s, &c);
F_RE(ans) = zero * c;
F_IM(ans) = zero * s;
}
} else {
if (iy >= 0x7f800000) {
F_RE(ans) = x;
F_IM(ans) = y - y;
} else {
sincosf(y, &s, &c);
F_RE(ans) = x * c;
F_IM(ans) = x * s;
}
}
} else {
sincosf(y, &s, &c);
if (ix >= 0x42B171AA) { /* |x| > 88.722... ~ log(2**128) */
#if defined(__i386) && !defined(__amd64)
int rp = __swapRP(fp_extended);
#endif
t = __k_cexp(x, &n);
F_RE(ans) = (float)scalbn(t * (double)c, n);
F_IM(ans) = (float)scalbn(t * (double)s, n);
#if defined(__i386) && !defined(__amd64)
if (rp != fp_extended)
(void) __swapRP(rp);
#endif
} else {
t = expf(x);
F_RE(ans) = t * c;
F_IM(ans) = t * s;
}
}
return (ans);
}
fcomplex
csqrtf(fcomplex z) {
fcomplex ans;
double dt, dx, dy;
float x, y, t, ax, ay, w;
int ix, iy, hx, hy;
x = F_RE(z);
y = F_IM(z);
hx = THE_WORD(x);
hy = THE_WORD(y);
ix = hx & 0x7fffffff;
iy = hy & 0x7fffffff;
ay = fabsf(y);
ax = fabsf(x);
if (ix >= 0x7f800000 || iy >= 0x7f800000) {
/* x or y is Inf or NaN */
if (iy == 0x7f800000)
F_IM(ans) = F_RE(ans) = ay;
else if (ix == 0x7f800000) {
if (hx > 0) {
F_RE(ans) = ax;
F_IM(ans) = ay * zero;
} else {
F_RE(ans) = ay * zero;
F_IM(ans) = ax;
}
} else
F_IM(ans) = F_RE(ans) = ax + ay;
} else if (iy == 0) {
if (hx >= 0) {
F_RE(ans) = sqrtf(ax);
F_IM(ans) = zero;
} else {
F_IM(ans) = sqrtf(ax);
F_RE(ans) = zero;
}
} else {
dx = (double) ax;
dy = (double) ay;
dt = sqrt(0.5 * (sqrt(dx * dx + dy * dy) + dx));
t = (float) dt;
w = (float) (dy / (dt + dt));
if (hx >= 0) {
F_RE(ans) = t;
F_IM(ans) = w;
} else {
F_IM(ans) = t;
F_RE(ans) = w;
}
}
if (hy < 0)
F_IM(ans) = -F_IM(ans);
return (ans);
}
fcomplex
clogf(fcomplex z) {
fcomplex ans;
float x, y, ax, ay;
double dx, dy;
int ix, iy, hx, hy;
x = F_RE(z);
y = F_IM(z);
hx = THE_WORD(x);
hy = THE_WORD(y);
ix = hx & 0x7fffffff;
iy = hy & 0x7fffffff;
ay = fabsf(y);
ax = fabsf(x);
F_IM(ans) = atan2f(y, x);
if (ix >= 0x7f800000 || iy >= 0x7f800000) {
/* x or y is Inf or NaN */
if (iy == 0x7f800000)
F_RE(ans) = ay;
else if (ix == 0x7f800000)
F_RE(ans) = ax;
else
F_RE(ans) = ax + ay;
} else {
#if defined(__i386) && !defined(__amd64)
int rp = __swapRP(fp_extended);
#endif
dx = (double)ax;
dy = (double)ay;
if (ix == 0x3f800000)
F_RE(ans) = (float)(0.5 * log1p(dy * dy));
else if (iy == 0x3f800000)
F_RE(ans) = (float)(0.5 * log1p(dx * dx));
else if ((ix | iy) == 0)
F_RE(ans) = -1.0f / ax;
else
F_RE(ans) = (float)(0.5 * log(dx * dx + dy * dy));
#if defined(__i386) && !defined(__amd64)
if (rp != fp_extended)
(void) __swapRP(rp);
#endif
}
return (ans);
}
fcomplex
csinhf(fcomplex z) {
float x, y, S, C;
double t;
int hx, ix, hy, iy, n;
fcomplex ans;
x = F_RE(z);
y = F_IM(z);
hx = THE_WORD(x);
ix = hx & 0x7fffffff;
hy = THE_WORD(y);
iy = hy & 0x7fffffff;
x = fabsf(x);
y = fabsf(y);
sincosf(y, &S, &C);
if (ix >= 0x41600000) { /* |x| > 14 = prec/2 (14,28,34,60) */
if (ix >= 0x42B171AA) { /* |x| > 88.722... ~ log(2**128) */
if (ix >= 0x7f800000) { /* |x| is inf or NaN */
if (iy == 0) {
F_RE(ans) = x;
F_IM(ans) = y;
} else if (iy >= 0x7f800000) {
F_RE(ans) = x;
F_IM(ans) = x - y;
} else {
F_RE(ans) = C * x;
F_IM(ans) = S * x;
}
} else {
#if defined(__i386) && !defined(__amd64)
int rp = __swapRP(fp_extended);
#endif
/* return (C, S) * exp(x) / 2 */
t = __k_cexp((double)x, &n);
F_RE(ans) = (float)scalbn(C * t, n - 1);
F_IM(ans) = (float)scalbn(S * t, n - 1);
#if defined(__i386) && !defined(__amd64)
if (rp != fp_extended)
(void) __swapRP(rp);
#endif
}
} else {
t = expf(x) * half;
F_RE(ans) = C * t;
F_IM(ans) = S * t;
}
} else {
if (ix == 0) { /* x = 0, return (0,S) */
F_RE(ans) = zero;
F_IM(ans) = S;
} else {
F_RE(ans) = C * sinhf(x);
F_IM(ans) = S * coshf(x);
}
}
if (hx < 0)
F_RE(ans) = -F_RE(ans);
if (hy < 0)
F_IM(ans) = -F_IM(ans);
return (ans);
}
