void
_CDTOD(d_complex_t *ret_val,
d_complex_t x,
_f_real16 *r)
{
_f_real16 __atan2l(_f_real16 ax, _f_real16 bx);
_f_real16 __cosl(_f_real16 ax);
_f_real16 __expl(_f_real16 ax);
_f_real16 __logl(_f_real16 ax);
_f_real16 __sinl(_f_real16 ax);
_f_real16 _CDABS(d_complex_t z);
_f_real16 y = *r;
_f_real16 one;
_f_real16 two;
if (x.real == (_f_real16) 0.0 && x.imag == (_f_real16) 0.0) {
if (y == (_f_real16) 0.0) {
ret_val->real = _DBL_NaN;
ret_val->imag = _DBL_NaN;
}
else {
ret_val->real = (_f_real16) 0.0;
ret_val->imag = (_f_real16) 0.0;
}
return;
}
one = y * __atan2l(x.imag, x.real);
two = y * __logl(_CDABS(x));
ret_val->real = __expl(two) * __cosl(one);
ret_val->imag = __expl(two) * __sinl(one);
}
void
_CDTOCD(d_complex_t *ret_val,
d_complex_t x,
d_complex_t y)
{
_f_real16 __atan2l(_f_real16 ax, _f_real16 bx);
_f_real16 __cosl(_f_real16 ax);
_f_real16 __expl(_f_real16 ax);
_f_real16 __logl(_f_real16 ax);
_f_real16 __sinl(_f_real16 ax);
_f_real16 __sqrtl(_f_real16 ax);
_f_real16 a;
_f_real16 b;
_f_real16 c;
_f_real16 d;
_f_real16 one;
_f_real16 two;
REGISTER_16 realx;
REGISTER_16 imagx;
_f_real16 loglabsx, atn2l, expltwo;
if (x.real == 0.0 && x.imag == 0.0) {
if (y.real == 0.0 && y.imag == 0.0) {
ret_val->real = _DBL_NaN;
ret_val->imag = _DBL_NaN;
}
else {
ret_val->real = (_f_real16) 0.0;
ret_val->imag = (_f_real16) 0.0;
}
return;
}
realx.f = x.real;
imagx.f = x.imag;
a = x.real;
b = x.imag;
c = y.real;
d = y.imag;
/* clear sign bit */
realx.ui[0] &= ~IEEE_128_64_SIGN_BIT;
imagx.ui[0] &= ~IEEE_128_64_SIGN_BIT;
atn2l = __atan2l(b,a);
if (realx.f > imagx.f)
loglabsx = __logl(realx.f *
__sqrtl(1.0 + (imagx.f/realx.f) * (imagx.f/realx.f)));
else
loglabsx = __logl(imagx.f *
__sqrtl(1.0 + (realx.f/imagx.f) * (realx.f/imagx.f)));
one = d * loglabsx + c * atn2l;
two = c * loglabsx - d * atn2l;
expltwo = __expl(two);
ret_val->real = expltwo * __cosl(one);
ret_val->imag = expltwo * __sinl(one);
}
void
_CDEXP(d_complex_t *ret_val,
d_complex_t z )
{
_f_real16 __expl(_f_real16 x);
_f_real16 __cosl(_f_real16 x);
_f_real16 __sinl(_f_real16 x);
ret_val->real = __expl(z.real) * __cosl(z.imag);
ret_val->imag = __expl(z.real) * __sinl(z.imag);
}
/*
* DEXP: real(kind=16) - pass by value
* 128-bit float exponential
*/
_f_real16
_DEXP( _f_real16 x )
{
_f_real16 __expl(_f_real16 x);
return ((_f_real16) __expl((_f_real16) x));
}
_f_real16
_DEXP_( _f_real16 *x )
{
_f_real16 __expl(_f_real16 x);
return ((_f_real16) __expl((_f_real16) *x));
}
long double
__expm1l (long double x)
{
long double px, qx, xx;
int32_t ix, sign;
ieee854_long_double_shape_type u;
int k;
/* Detect infinity and NaN. */
u.value = x;
ix = u.parts32.w0;
sign = ix & 0x80000000;
ix &= 0x7fffffff;
if (!sign && ix >= 0x40060000)
{
/* If num is positive and exp >= 6 use plain exp. */
return __expl (x);
}
if (ix >= 0x7fff0000)
{
/* Infinity (which must be negative infinity). */
if (((ix & 0xffff) | u.parts32.w1 | u.parts32.w2 | u.parts32.w3) == 0)
return -1.0L;
/* NaN. No invalid exception. */
return x;
}
/* expm1(+- 0) = +- 0. */
if ((ix == 0) && (u.parts32.w1 | u.parts32.w2 | u.parts32.w3) == 0)
return x;
/* Minimum value. */
if (x < minarg)
return (4.0/big - 1.0L);
/* Avoid internal underflow when result does not underflow, while
ensuring underflow (without returning a zero of the wrong sign)
when the result does underflow. */
if (fabsl (x) < 0x1p-113L)
{
math_check_force_underflow (x);
return x;
}
/* Express x = ln 2 (k + remainder), remainder not exceeding 1/2. */
xx = C1 + C2; /* ln 2. */
px = __floorl (0.5 + x / xx);
k = px;
/* remainder times ln 2 */
x -= px * C1;
x -= px * C2;
/* Approximate exp(remainder ln 2). */
px = (((((((P7 * x
+ P6) * x
+ P5) * x + P4) * x + P3) * x + P2) * x + P1) * x + P0) * x;
qx = (((((((x
+ Q7) * x
+ Q6) * x + Q5) * x + Q4) * x + Q3) * x + Q2) * x + Q1) * x + Q0;
xx = x * x;
qx = x + (0.5 * xx + xx * px / qx);
/* exp(x) = exp(k ln 2) exp(remainder ln 2) = 2^k exp(remainder ln 2).
We have qx = exp(remainder ln 2) - 1, so
exp(x) - 1 = 2^k (qx + 1) - 1
= 2^k qx + 2^k - 1. */
px = __ldexpl (1.0L, k);
x = px * qx + (px - 1.0);
return x;
}
