static VALUE
nucomp_div(VALUE self, VALUE other)
{
if (k_complex_p(other)) {
get_dat2(self, other);
if (TYPE(adat->real) == T_FLOAT ||
TYPE(adat->imag) == T_FLOAT ||
TYPE(bdat->real) == T_FLOAT ||
TYPE(bdat->imag) == T_FLOAT) {
VALUE magn = m_hypot(bdat->real, bdat->imag);
VALUE tmp = f_complex_new_bang2(CLASS_OF(self),
f_div(bdat->real, magn),
f_div(bdat->imag, magn));
return f_div(f_mul(self, f_conj(tmp)), magn);
}
return f_div(f_mul(self, f_conj(other)), f_abs2(other));
}
if (k_numeric_p(other) && f_real_p(other)) {
get_dat1(self);
return f_complex_new2(CLASS_OF(self),
f_div(dat->real, other),
f_div(dat->imag, other));
}
return rb_num_coerce_bin(self, other, '/');
}
static VALUE
m_sqrt(VALUE x)
{
if (f_real_p(x)) {
if (f_positive_p(x))
return m_sqrt_bang(x);
return f_complex_new2(rb_cComplex, ZERO, m_sqrt_bang(f_negate(x)));
}
else {
get_dat1(x);
if (f_negative_p(dat->imag))
return f_conj(m_sqrt(f_conj(x)));
else {
VALUE a = f_abs(x);
return f_complex_new2(rb_cComplex,
m_sqrt_bang(f_div(f_add(a, dat->real), TWO)),
m_sqrt_bang(f_div(f_sub(a, dat->real), TWO)));
}
}
}
