static VALUE
nurat_s_new_bang(int argc, VALUE *argv, VALUE klass)
{
VALUE num, den;
switch (rb_scan_args(argc, argv, "11", &num, &den)) {
case 1:
if (!k_integer_p(num))
num = f_to_i(num);
den = ONE;
break;
default:
if (!k_integer_p(num))
num = f_to_i(num);
if (!k_integer_p(den))
den = f_to_i(den);
switch (FIX2INT(f_cmp(den, ZERO))) {
case -1:
num = f_negate(num);
den = f_negate(den);
break;
case 0:
rb_raise_zerodiv();
break;
}
break;
}
return nurat_s_new_internal(klass, num, den);
}
static VALUE
f_round_common(int argc, VALUE *argv, VALUE self, VALUE (*func)(VALUE, SEL))
{
VALUE n, b, s;
if (argc == 0)
return (*func)(self, NULL);
rb_scan_args(argc, argv, "01", &n);
if (!k_integer_p(n))
rb_raise(rb_eTypeError, "not an integer");
b = f_expt(INT2FIX(10), n);
s = f_mul(self, b);
s = (*func)(s, NULL);
s = f_div(f_rational_new_bang1(CLASS_OF(self), s), b);
if (f_lt_p(n, ONE))
s = f_to_i(s);
return s;
}
inline static VALUE
nurat_int_value(VALUE num)
{
nurat_int_check(num);
if (!k_integer_p(num))
num = f_to_i(num);
return num;
}
static VALUE
nurat_s_convert(VALUE klass, SEL sel, int argc, VALUE *argv)
{
VALUE a1, a2, backref;
rb_scan_args(argc, argv, "11", &a1, &a2);
if (NIL_P(a1) || (argc == 2 && NIL_P(a2)))
rb_raise(rb_eTypeError, "can't convert nil into Rational");
switch (TYPE(a1)) {
case T_COMPLEX:
if (k_exact_zero_p(RCOMPLEX(a1)->imag))
a1 = RCOMPLEX(a1)->real;
}
switch (TYPE(a2)) {
case T_COMPLEX:
if (k_exact_zero_p(RCOMPLEX(a2)->imag))
a2 = RCOMPLEX(a2)->real;
}
backref = rb_backref_get();
rb_match_busy(backref);
switch (TYPE(a1)) {
case T_FIXNUM:
case T_BIGNUM:
break;
case T_FLOAT:
a1 = f_to_r(a1);
break;
case T_STRING:
a1 = string_to_r_strict(a1);
break;
}
switch (TYPE(a2)) {
case T_FIXNUM:
case T_BIGNUM:
break;
case T_FLOAT:
a2 = f_to_r(a2);
break;
case T_STRING:
a2 = string_to_r_strict(a2);
break;
}
rb_backref_set(backref);
switch (TYPE(a1)) {
case T_RATIONAL:
if (argc == 1 || (k_exact_one_p(a2)))
return a1;
}
if (argc == 1) {
if (!(k_numeric_p(a1) && k_integer_p(a1)))
return rb_convert_type(a1, T_RATIONAL, "Rational", "to_r");
}
else {
if ((k_numeric_p(a1) && k_numeric_p(a2)) &&
(!f_integer_p(a1) || !f_integer_p(a2)))
return f_div(a1, a2);
}
{
VALUE argv2[2];
argv2[0] = a1;
argv2[1] = a2;
return nurat_s_new(argc, argv2, klass);
}
}
static VALUE
nucomp_expt(VALUE self, VALUE other)
{
if (k_exact_p(other) && f_zero_p(other))
return f_complex_new_bang1(CLASS_OF(self), ONE);
if (k_rational_p(other) && f_one_p(f_denominator(other)))
other = f_numerator(other); /* good? */
if (k_complex_p(other)) {
VALUE a, r, theta, ore, oim, nr, ntheta;
get_dat1(other);
a = f_polar(self);
r = RARRAY_PTR(a)[0];
theta = RARRAY_PTR(a)[1];
ore = dat->real;
oim = dat->imag;
nr = m_exp_bang(f_sub(f_mul(ore, m_log_bang(r)),
f_mul(oim, theta)));
ntheta = f_add(f_mul(theta, ore), f_mul(oim, m_log_bang(r)));
return f_complex_polar(CLASS_OF(self), nr, ntheta);
}
if (k_integer_p(other)) {
if (f_gt_p(other, ZERO)) {
VALUE x, z, n;
x = self;
z = x;
n = f_sub(other, ONE);
while (f_nonzero_p(n)) {
VALUE a;
while (a = f_divmod(n, TWO),
f_zero_p(RARRAY_PTR(a)[1])) {
get_dat1(x);
x = f_complex_new2(CLASS_OF(self),
f_sub(f_mul(dat->real, dat->real),
f_mul(dat->imag, dat->imag)),
f_mul(f_mul(TWO, dat->real), dat->imag));
n = RARRAY_PTR(a)[0];
}
z = f_mul(z, x);
n = f_sub(n, ONE);
}
return z;
}
return f_expt(f_div(f_to_r(ONE), self), f_negate(other));
}
if (k_numeric_p(other) && f_real_p(other)) {
VALUE a, r, theta;
a = f_polar(self);
r = RARRAY_PTR(a)[0];
theta = RARRAY_PTR(a)[1];
return f_complex_polar(CLASS_OF(self), f_expt(r, other),
f_mul(theta, other));
}
return rb_num_coerce_bin(self, other, id_expt);
}