inline static VALUE
f_complex_polar(VALUE klass, VALUE x, VALUE y)
{
assert(!k_complex_p(x));
assert(!k_complex_p(y));
return nucomp_s_canonicalize_internal(klass,
f_mul(x, m_cos(y)),
f_mul(x, m_sin(y)));
}
/*
* call-seq:
* Complex.rect(real[, imag]) -> complex
* Complex.rectangular(real[, imag]) -> complex
*
* Returns a complex object which denotes the given rectangular form.
*
* Complex.rectangular(1, 2) #=> (1+2i)
*/
static VALUE
nucomp_s_new(int argc, VALUE *argv, VALUE klass)
{
VALUE real, imag;
switch (rb_scan_args(argc, argv, "11", &real, &imag)) {
case 1:
nucomp_real_check(real);
imag = ZERO;
break;
default:
nucomp_real_check(real);
nucomp_real_check(imag);
break;
}
return nucomp_s_canonicalize_internal(klass, real, imag);
}
static VALUE
f_complex_polar(VALUE klass, VALUE x, VALUE y)
{
assert(!k_complex_p(x));
assert(!k_complex_p(y));
if (f_zero_p(x) || f_zero_p(y)) {
if (canonicalization) return x;
return nucomp_s_new_internal(klass, x, RFLOAT_0);
}
if (RB_FLOAT_TYPE_P(y)) {
const double arg = RFLOAT_VALUE(y);
if (arg == M_PI) {
x = f_negate(x);
if (canonicalization) return x;
y = RFLOAT_0;
}
else if (arg == M_PI_2) {
y = x;
x = RFLOAT_0;
}
else if (arg == M_PI_2+M_PI) {
y = f_negate(x);
x = RFLOAT_0;
}
else if (RB_FLOAT_TYPE_P(x)) {
const double abs = RFLOAT_VALUE(x);
const double real = abs * cos(arg), imag = abs * sin(arg);
x = DBL2NUM(real);
if (canonicalization && imag == 0.0) return x;
y = DBL2NUM(imag);
}
else {
x = f_mul(x, DBL2NUM(cos(arg)));
y = f_mul(y, DBL2NUM(sin(arg)));
if (canonicalization && f_zero_p(y)) return x;
}
return nucomp_s_new_internal(klass, x, y);
}
return nucomp_s_canonicalize_internal(klass,
f_mul(x, m_cos(y)),
f_mul(x, m_sin(y)));
}
inline static VALUE
f_complex_new2(VALUE klass, VALUE x, VALUE y)
{
assert(!k_complex_p(x));
return nucomp_s_canonicalize_internal(klass, x, y);
}
VALUE
rb_complex_new(VALUE x, VALUE y)
{
return nucomp_s_canonicalize_internal(rb_cComplex, x, y);
}