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#ifndef __LIBC_COMPLEX_H__
#define __LIBC_COMPLEX_H__
#include <math.h>
#include <complex.h>
typedef union {
float complex z;
struct {
float x, y;
} parts;
} float_complex;
typedef union {
double complex z;
struct {
double x, y;
} parts;
} double_complex;
typedef union {
long double complex z;
struct {
long double x, y;
} parts;
} long_double_complex;
#define M_IVLN10 (4.34294481903251816668e-01)
#define M_PIL (3.14159265358979323846264338327950280e+00L)
#define REAL_PART(z) ((z).parts.x)
#define IMAG_PART(z) ((z).parts.y)
static const long double DP1 = 3.14159265358979323829596852490908531763125L;
static const long double DP2 = 1.6667485837041756656403424829301998703007e-19L;
#define MACHEP 1.1e-16
#define MACHEPF 3.0e-8f
#ifndef __vax__
static const long double DP3 = 1.8830410776607851167459095484560349402753e-39L;
#define MACHEPL 1.1e-38L
#else
static const long double DP3 = 0L;
#define MACHEPL 1.1e-19L
#endif
static void cchsh(double x, double *c, double *s)
{
double e, ei;
if (fabs(x) <= 0.5) {
*c = cosh(x);
*s = sinh(x);
} else {
e = exp(x);
ei = 0.5 / e;
e = 0.5 * e;
*s = e - ei;
*c = e + ei;
}
}
static void cchshl(long double x, long double *c, long double *s)
{
long double e, ei;
if (fabsl(x) <= 0.5L) {
*c = coshl(x);
*s = sinhl(x);
} else {
e = expl(x);
ei = 0.5L / e;
e = 0.5L * e;
*s = e - ei;
*c = e + ei;
}
}
static void cchshf(float x, float *c, float *s)
{
float e, ei;
if (fabsf(x) <= 0.5f) {
*c = coshf(x);
*s = sinhf(x);
} else {
e = expf(x);
ei = 0.5f / e;
e = 0.5f * e;
*s = e - ei;
*c = e + ei;
}
}
static double redupi(double x)
{
double t;
long i;
t = x / M_PI;
if (t >= 0.0)
t += 0.5;
else
t -= 0.5;
i = t;
t = i;
t = ((x - t * DP1) - t * DP2) - t * DP3;
return t;
}
static float redupif(float x)
{
float t;
long i;
t = x / (float)M_PI;
if (t >= 0.0f)
t += 0.5f;
else
t -= 0.5f;
i = t;
t = i;
t = ((x - t * DP1) - t * DP2) - t * DP3;
return t;
}
static long double redupil(long double x)
{
long double t;
long long i;
t = x / M_PIL;
if (t >= 0.0L)
t += 0.5L;
else
t -= 0.5L;
i = t;
t = i;
return ((x - t * DP1) - t * DP2) - t * DP3;
}
static long double ctansl(long double complex z)
{
long double f, x, x2, y, y2, rn, t;
long double d;
x = fabsl(2.0L * creall(z));
y = fabsl(2.0L * cimagl(z));
x = redupil(x);
x = x * x;
y = y * y;
x2 = 1.0L;
y2 = 1.0L;
f = 1.0L;
rn = 0.0L;
d = 0.0L;
do {
rn += 1.0L;
f *= rn;
rn += 1.0L;
f *= rn;
x2 *= x;
y2 *= y;
t = y2 + x2;
t /= f;
d += t;
rn += 1.0L;
f *= rn;
rn += 1.0L;
f *= rn;
x2 *= x;
y2 *= y;
t = y2 - x2;
t /= f;
d += t;
} while (fabsl(t / d) > MACHEPL);
return d;
}
#endif
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