double cosh(double x) /* wrapper cosh */
{
#ifdef CYGSEM_LIBM_COMPAT_IEEE_ONLY
return __ieee754_cosh(x);
#else
double z;
z = __ieee754_cosh(x);
if(cyg_libm_get_compat_mode() == CYGNUM_LIBM_COMPAT_IEEE || isnan(x)) return z;
if(fabs(x)>7.10475860073943863426e+02) {
return __kernel_standard(x,x,5); /* cosh overflow */
} else
return z;
#endif
}
double
cosh(double x) /* wrapper cosh */
{
#ifdef _IEEE_LIBM
return __ieee754_cosh(x);
#else
double z;
z = __ieee754_cosh(x);
if(_LIB_VERSION == _IEEE_ || isnan(x)) return z;
if(fabs(x)>7.10475860073943863426e+02) {
return __kernel_standard(x,x,5); /* cosh overflow */
} else
return z;
#endif
}
void
Math_cosh(void *fp)
{
F_Math_cosh *f;
f = fp;
*f->ret = __ieee754_cosh(f->x);
}
double
__cosh (double x)
{
double z = __ieee754_cosh (x);
if (__builtin_expect (!isfinite (z), 0) && isfinite (x)
&& _LIB_VERSION != _IEEE_)
return __kernel_standard (x, x, 5); /* cosh overflow */
return z;
}
__complex__ double
__ctanh (__complex__ double x)
{
__complex__ double res;
if (__builtin_expect (!isfinite (__real__ x) || !isfinite (__imag__ x), 0))
{
if (__isinf_ns (__real__ x))
{
__real__ res = __copysign (1.0, __real__ x);
__imag__ res = __copysign (0.0, __imag__ x);
}
else if (__imag__ x == 0.0)
{
res = x;
}
else
{
__real__ res = __nan ("");
__imag__ res = __nan ("");
if (__isinf_ns (__imag__ x))
feraiseexcept (FE_INVALID);
}
}
else
{
double sin2ix, cos2ix;
double den;
__sincos (2.0 * __imag__ x, &sin2ix, &cos2ix);
den = (__ieee754_cosh (2.0 * __real__ x) + cos2ix);
if (den == 0.0)
{
__complex__ double ez = __cexp (x);
__complex__ double emz = __cexp (-x);
res = (ez - emz) / (ez + emz);
}
else
{
__real__ res = __ieee754_sinh (2.0 * __real__ x) / den;
__imag__ res = sin2ix / den;
}
}
return res;
}
EXPORT(sqInt) primitiveCosH(void) {
double rcvr;
double result;
rcvr = interpreterProxy->stackFloatValue(0);
if (interpreterProxy->failed()) {
return null;
}
result = __ieee754_cosh(rcvr);
if (isnan(result)) {
return interpreterProxy->primitiveFail();
}
interpreterProxy->pop((interpreterProxy->methodArgumentCount()) + 1);
interpreterProxy->pushFloat(result);
}
primitiveCosH(void)
{
// FloatMathPlugin>>#primitiveCosH
double rcvr;
double result;
rcvr = stackFloatValue(0);
if (failed()) {
return null;
}
result = __ieee754_cosh(rcvr);
if (isnan(result)) {
return primitiveFail();
}
pop((methodArgumentCount()) + 1);
pushFloat(result);
}
__complex__ double
__ctanh (__complex__ double x)
{
__complex__ double res;
if (!isfinite (__real__ x) || !isfinite (__imag__ x))
{
if (__isinf (__real__ x))
{
__real__ res = __copysign (1.0, __real__ x);
__imag__ res = __copysign (0.0, __imag__ x);
}
else if (__imag__ x == 0.0)
{
res = x;
}
else
{
__real__ res = __nan ("");
__imag__ res = __nan ("");
#ifdef FE_INVALID
if (__isinf (__imag__ x))
feraiseexcept (FE_INVALID);
#endif
}
}
else
{
double sin2ix, cos2ix;
double den;
__sincos (2.0 * __imag__ x, &sin2ix, &cos2ix);
den = (__ieee754_cosh (2.0 * __real__ x) + cos2ix);
__real__ res = __ieee754_sinh (2.0 * __real__ x) / den;
__imag__ res = sin2ix / den;
}
return res;
}
__complex__ double
__ccosh (__complex__ double x)
{
__complex__ double retval;
int rcls = fpclassify (__real__ x);
int icls = fpclassify (__imag__ x);
if (__builtin_expect (rcls >= FP_ZERO, 1))
{
/* Real part is finite. */
if (__builtin_expect (icls >= FP_ZERO, 1))
{
/* Imaginary part is finite. */
const int t = (int) ((DBL_MAX_EXP - 1) * M_LN2);
double sinix, cosix;
if (__builtin_expect (icls != FP_SUBNORMAL, 1))
{
__sincos (__imag__ x, &sinix, &cosix);
}
else
{
sinix = __imag__ x;
cosix = 1.0;
}
if (fabs (__real__ x) > t)
{
double exp_t = __ieee754_exp (t);
double rx = fabs (__real__ x);
if (signbit (__real__ x))
sinix = -sinix;
rx -= t;
sinix *= exp_t / 2.0;
cosix *= exp_t / 2.0;
if (rx > t)
{
rx -= t;
sinix *= exp_t;
cosix *= exp_t;
}
if (rx > t)
{
/* Overflow (original real part of x > 3t). */
__real__ retval = DBL_MAX * cosix;
__imag__ retval = DBL_MAX * sinix;
}
else
{
double exp_val = __ieee754_exp (rx);
__real__ retval = exp_val * cosix;
__imag__ retval = exp_val * sinix;
}
}
else
{
__real__ retval = __ieee754_cosh (__real__ x) * cosix;
__imag__ retval = __ieee754_sinh (__real__ x) * sinix;
}
if (fabs (__real__ retval) < DBL_MIN)
{
volatile double force_underflow
= __real__ retval * __real__ retval;
(void) force_underflow;
}
if (fabs (__imag__ retval) < DBL_MIN)
{
volatile double force_underflow
= __imag__ retval * __imag__ retval;
(void) force_underflow;
}
}
else
{
__imag__ retval = __real__ x == 0.0 ? 0.0 : __nan ("");
__real__ retval = __nan ("") + __nan ("");
if (icls == FP_INFINITE)
feraiseexcept (FE_INVALID);
}
}
else if (rcls == FP_INFINITE)
{
/* Real part is infinite. */
if (__builtin_expect (icls > FP_ZERO, 1))
{
/* Imaginary part is finite. */
double sinix, cosix;
if (__builtin_expect (icls != FP_SUBNORMAL, 1))
{
__sincos (__imag__ x, &sinix, &cosix);
}
else
{
sinix = __imag__ x;
cosix = 1.0;
}
__real__ retval = __copysign (HUGE_VAL, cosix);
__imag__ retval = (__copysign (HUGE_VAL, sinix)
* __copysign (1.0, __real__ x));
}
else if (icls == FP_ZERO)
{
/* Imaginary part is 0.0. */
__real__ retval = HUGE_VAL;
__imag__ retval = __imag__ x * __copysign (1.0, __real__ x);
}
else
{
/* The addition raises the invalid exception. */
__real__ retval = HUGE_VAL;
__imag__ retval = __nan ("") + __nan ("");
if (icls == FP_INFINITE)
feraiseexcept (FE_INVALID);
}
}
else
{
__real__ retval = __nan ("");
__imag__ retval = __imag__ x == 0.0 ? __imag__ x : __nan ("");
}
return retval;
}
__complex__ double
__ctanh (__complex__ double x)
{
__complex__ double res;
if (__glibc_unlikely (!isfinite (__real__ x) || !isfinite (__imag__ x)))
{
if (isinf (__real__ x))
{
__real__ res = __copysign (1.0, __real__ x);
if (isfinite (__imag__ x) && fabs (__imag__ x) > 1.0)
{
double sinix, cosix;
__sincos (__imag__ x, &sinix, &cosix);
__imag__ res = __copysign (0.0, sinix * cosix);
}
else
__imag__ res = __copysign (0.0, __imag__ x);
}
else if (__imag__ x == 0.0)
{
res = x;
}
else
{
__real__ res = __nan ("");
__imag__ res = __nan ("");
if (isinf (__imag__ x))
feraiseexcept (FE_INVALID);
}
}
else
{
double sinix, cosix;
double den;
const int t = (int) ((DBL_MAX_EXP - 1) * M_LN2 / 2);
/* tanh(x+iy) = (sinh(2x) + i*sin(2y))/(cosh(2x) + cos(2y))
= (sinh(x)*cosh(x) + i*sin(y)*cos(y))/(sinh(x)^2 + cos(y)^2). */
if (__glibc_likely (fabs (__imag__ x) > DBL_MIN))
{
__sincos (__imag__ x, &sinix, &cosix);
}
else
{
sinix = __imag__ x;
cosix = 1.0;
}
if (fabs (__real__ x) > t)
{
/* Avoid intermediate overflow when the imaginary part of
the result may be subnormal. Ignoring negligible terms,
the real part is +/- 1, the imaginary part is
sin(y)*cos(y)/sinh(x)^2 = 4*sin(y)*cos(y)/exp(2x). */
double exp_2t = __ieee754_exp (2 * t);
__real__ res = __copysign (1.0, __real__ x);
__imag__ res = 4 * sinix * cosix;
__real__ x = fabs (__real__ x);
__real__ x -= t;
__imag__ res /= exp_2t;
if (__real__ x > t)
{
/* Underflow (original real part of x has absolute value
> 2t). */
__imag__ res /= exp_2t;
}
else
__imag__ res /= __ieee754_exp (2 * __real__ x);
}
else
{
double sinhrx, coshrx;
if (fabs (__real__ x) > DBL_MIN)
{
sinhrx = __ieee754_sinh (__real__ x);
coshrx = __ieee754_cosh (__real__ x);
}
else
{
sinhrx = __real__ x;
coshrx = 1.0;
}
if (fabs (sinhrx) > fabs (cosix) * DBL_EPSILON)
den = sinhrx * sinhrx + cosix * cosix;
else
den = cosix * cosix;
__real__ res = sinhrx * coshrx / den;
__imag__ res = sinix * cosix / den;
}
math_check_force_underflow_complex (res);
}
return res;
}
Err mathlib_cosh(UInt16 refnum, double x, double *result) {
#pragma unused(refnum)
*result = __ieee754_cosh(x);
return mlErrNone;
}
__complex__ double
__csin (__complex__ double x)
{
__complex__ double retval;
int negate = signbit (__real__ x);
int rcls = fpclassify (__real__ x);
int icls = fpclassify (__imag__ x);
__real__ x = fabs (__real__ x);
if (__glibc_likely (icls >= FP_ZERO))
{
/* Imaginary part is finite. */
if (__glibc_likely (rcls >= FP_ZERO))
{
/* Real part is finite. */
const int t = (int) ((DBL_MAX_EXP - 1) * M_LN2);
double sinix, cosix;
if (__glibc_likely (rcls != FP_SUBNORMAL))
{
__sincos (__real__ x, &sinix, &cosix);
}
else
{
sinix = __real__ x;
cosix = 1.0;
}
if (fabs (__imag__ x) > t)
{
double exp_t = __ieee754_exp (t);
double ix = fabs (__imag__ x);
if (signbit (__imag__ x))
cosix = -cosix;
ix -= t;
sinix *= exp_t / 2.0;
cosix *= exp_t / 2.0;
if (ix > t)
{
ix -= t;
sinix *= exp_t;
cosix *= exp_t;
}
if (ix > t)
{
/* Overflow (original imaginary part of x > 3t). */
__real__ retval = DBL_MAX * sinix;
__imag__ retval = DBL_MAX * cosix;
}
else
{
double exp_val = __ieee754_exp (ix);
__real__ retval = exp_val * sinix;
__imag__ retval = exp_val * cosix;
}
}
else
{
__real__ retval = __ieee754_cosh (__imag__ x) * sinix;
__imag__ retval = __ieee754_sinh (__imag__ x) * cosix;
}
if (negate)
__real__ retval = -__real__ retval;
if (fabs (__real__ retval) < DBL_MIN)
{
volatile double force_underflow
= __real__ retval * __real__ retval;
(void) force_underflow;
}
if (fabs (__imag__ retval) < DBL_MIN)
{
volatile double force_underflow
= __imag__ retval * __imag__ retval;
(void) force_underflow;
}
}
else
{
if (icls == FP_ZERO)
{
/* Imaginary part is 0.0. */
__real__ retval = __nan ("");
__imag__ retval = __imag__ x;
if (rcls == FP_INFINITE)
feraiseexcept (FE_INVALID);
}
else
{
__real__ retval = __nan ("");
__imag__ retval = __nan ("");
feraiseexcept (FE_INVALID);
}
}
}
else if (icls == FP_INFINITE)
{
/* Imaginary part is infinite. */
if (rcls == FP_ZERO)
{
/* Real part is 0.0. */
__real__ retval = __copysign (0.0, negate ? -1.0 : 1.0);
__imag__ retval = __imag__ x;
}
else if (rcls > FP_ZERO)
{
/* Real part is finite. */
double sinix, cosix;
if (__glibc_likely (rcls != FP_SUBNORMAL))
{
__sincos (__real__ x, &sinix, &cosix);
}
else
{
sinix = __real__ x;
cosix = 1.0;
}
__real__ retval = __copysign (HUGE_VAL, sinix);
__imag__ retval = __copysign (HUGE_VAL, cosix);
if (negate)
__real__ retval = -__real__ retval;
if (signbit (__imag__ x))
__imag__ retval = -__imag__ retval;
}
else
{
/* The addition raises the invalid exception. */
__real__ retval = __nan ("");
__imag__ retval = HUGE_VAL;
if (rcls == FP_INFINITE)
feraiseexcept (FE_INVALID);
}
}
else
{
if (rcls == FP_ZERO)
__real__ retval = __copysign (0.0, negate ? -1.0 : 1.0);
else
__real__ retval = __nan ("");
__imag__ retval = __nan ("");
}
return retval;
}
__complex__ double
__csinh (__complex__ double x)
{
__complex__ double retval;
int negate = signbit (__real__ x);
int rcls = fpclassify (__real__ x);
int icls = fpclassify (__imag__ x);
__real__ x = fabs (__real__ x);
if (rcls >= FP_ZERO)
{
/* Real part is finite. */
if (icls >= FP_ZERO)
{
/* Imaginary part is finite. */
double sinh_val = __ieee754_sinh (__real__ x);
double cosh_val = __ieee754_cosh (__real__ x);
double sinix, cosix;
__sincos (__imag__ x, &sinix, &cosix);
__real__ retval = sinh_val * cosix;
__imag__ retval = cosh_val * sinix;
if (negate)
__real__ retval = -__real__ retval;
}
else
{
if (rcls == FP_ZERO)
{
/* Real part is 0.0. */
__real__ retval = __copysign (0.0, negate ? -1.0 : 1.0);
__imag__ retval = __nan ("") + __nan ("");
#ifdef FE_INVALID
if (icls == FP_INFINITE)
feraiseexcept (FE_INVALID);
#endif
}
else
{
__real__ retval = __nan ("");
__imag__ retval = __nan ("");
#ifdef FE_INVALID
feraiseexcept (FE_INVALID);
#endif
}
}
}
else if (rcls == FP_INFINITE)
{
/* Real part is infinite. */
if (icls == FP_ZERO)
{
/* Imaginary part is 0.0. */
__real__ retval = negate ? -HUGE_VAL : HUGE_VAL;
__imag__ retval = __imag__ x;
}
else if (icls > FP_ZERO)
{
/* Imaginary part is finite. */
double sinix, cosix;
__sincos (__imag__ x, &sinix, &cosix);
__real__ retval = __copysign (HUGE_VAL, cosix);
__imag__ retval = __copysign (HUGE_VAL, sinix);
if (negate)
__real__ retval = -__real__ retval;
}
else
{
/* The addition raises the invalid exception. */
__real__ retval = HUGE_VAL;
__imag__ retval = __nan ("") + __nan ("");
#ifdef FE_INVALID
if (icls == FP_INFINITE)
feraiseexcept (FE_INVALID);
#endif
}
}
else
{
__real__ retval = __nan ("");
__imag__ retval = __imag__ x == 0.0 ? __imag__ x : __nan ("");
}
return retval;
}