static Py_complex c_powu(Py_complex x, long n)
{
Py_complex r, p;
long mask = 1;
r = c_1;
p = x;
while (mask > 0 && n >= mask) {
if (n & mask)
r = c_prod(r,p);
mask <<= 1;
p = c_prod(p,p);
}
return r;
}
static PyObject *
complex_divmod(PyComplexObject *v, PyComplexObject *w)
{
Py_complex div, mod;
PyObject *d, *m, *z;
if (PyErr_Warn(PyExc_DeprecationWarning,
"complex divmod(), // and % are deprecated") < 0)
return NULL;
errno = 0;
div = c_quot(v->cval,w->cval); /* The raw divisor value. */
if (errno == EDOM) {
PyErr_SetString(PyExc_ZeroDivisionError, "complex divmod()");
return NULL;
}
div.real = floor(div.real); /* Use the floor of the real part. */
div.imag = 0.0;
mod = c_diff(v->cval, c_prod(w->cval, div));
d = PyComplex_FromCComplex(div);
m = PyComplex_FromCComplex(mod);
z = PyTuple_Pack(2, d, m);
Py_XDECREF(d);
Py_XDECREF(m);
return z;
}
static Py_complex
c_asinh(Py_complex x)
{
Py_complex z;
z = c_sqrt(c_half);
z = c_log(c_prod(z, c_sum(c_sqrt(c_sum(x, c_i)),
c_sqrt(c_diff(x, c_i)))));
return c_sum(z, z);
}
static PyObject *
complex_mul(PyComplexObject *v, PyComplexObject *w)
{
Py_complex result;
PyFPE_START_PROTECT("complex_mul", return 0)
result = c_prod(v->cval,w->cval);
PyFPE_END_PROTECT(result)
return PyComplex_FromCComplex(result);
}
static Py_complex
c_asin(Py_complex x)
{
/* -i * log[(sqrt(1-x**2) + i*x] */
const Py_complex squared = c_prod(x, x);
const Py_complex sqrt_1_minus_x_sq = c_sqrt(c_diff(c_one, squared));
return c_neg(c_prodi(c_log(
c_sum(sqrt_1_minus_x_sq, c_prodi(x))
) ) );
}
static PyObject *
complex_mul(PyObject *v, PyObject *w)
{
Py_complex result;
Py_complex a, b;
TO_COMPLEX(v, a);
TO_COMPLEX(w, b);
PyFPE_START_PROTECT("complex_mul", return 0)
result = c_prod(a, b);
PyFPE_END_PROTECT(result)
return PyComplex_FromCComplex(result);
}
static PyObject *
complex_remainder(PyComplexObject *v, PyComplexObject *w)
{
Py_complex div, mod;
errno = 0;
div = c_quot(v->cval,w->cval); /* The raw divisor value. */
if (errno == EDOM) {
PyErr_SetString(PyExc_ZeroDivisionError, "complex remainder");
return NULL;
}
div.real = floor(div.real); /* Use the floor of the real part. */
div.imag = 0.0;
mod = c_diff(v->cval, c_prod(w->cval, div));
return PyComplex_FromCComplex(mod);
}
static PyObject *
complex_divmod(PyComplexObject *v, PyComplexObject *w)
{
Py_complex div, mod;
PyObject *d, *m, *z;
errno = 0;
div = c_quot(v->cval,w->cval); /* The raw divisor value. */
if (errno == EDOM) {
PyErr_SetString(PyExc_ZeroDivisionError, "complex divmod()");
return NULL;
}
div.real = floor(div.real); /* Use the floor of the real part. */
div.imag = 0.0;
mod = c_diff(v->cval, c_prod(w->cval, div));
d = PyComplex_FromCComplex(div);
m = PyComplex_FromCComplex(mod);
z = Py_BuildValue("(OO)", d, m);
Py_XDECREF(d);
Py_XDECREF(m);
return z;
}
static PyObject *
complex_remainder(PyObject *v, PyObject *w)
{
Py_complex div, mod;
Py_complex a, b;
TO_COMPLEX(v, a);
TO_COMPLEX(w, b);
if (PyErr_Warn(PyExc_DeprecationWarning,
"complex divmod(), // and % are deprecated") < 0)
return NULL;
errno = 0;
div = c_quot(a, b); /* The raw divisor value. */
if (errno == EDOM) {
PyErr_SetString(PyExc_ZeroDivisionError, "complex remainder");
return NULL;
}
div.real = floor(div.real); /* Use the floor of the real part. */
div.imag = 0.0;
mod = c_diff(a, c_prod(b, div));
return PyComplex_FromCComplex(mod);
}
static Py_complex
c_atanh(Py_complex x)
{
return c_prod(c_half,c_log(c_quot(c_sum(c_one,x),c_diff(c_one,x))));
}
static Py_complex
c_acos(Py_complex x)
{
return c_neg(c_prodi(c_log(c_sum(x,c_prod(c_i,
c_sqrt(c_diff(c_one,c_prod(x,x))))))));
}