/*
* call-seq:
* rat.fdiv(numeric) -> float
*
* Performs division and returns the value as a float.
*
* For example:
*
* Rational(2, 3).fdiv(1) #=> 0.6666666666666666
* Rational(2, 3).fdiv(0.5) #=> 1.3333333333333333
* Rational(2).fdiv(3) #=> 0.6666666666666666
*/
static VALUE
nurat_fdiv(VALUE self, SEL sel, VALUE other)
{
if (f_zero_p(other))
return f_div(self, f_to_f(other));
return f_to_f(f_div(self, other));
}
static VALUE
nucomp_fdiv(VALUE self, VALUE other)
{
get_dat1(self);
return f_div(f_complex_new2(CLASS_OF(self),
f_to_f(dat->real),
f_to_f(dat->imag)), other);
}
/*
* call-seq:
* rat / numeric -> numeric_result
* rat.quo(numeric) -> numeric_result
*
* Performs division.
*
* For example:
*
* Rational(2, 3) / Rational(2, 3) #=> (1/1)
* Rational(900) / Rational(1) #=> (900/1)
* Rational(-2, 9) / Rational(-9, 2) #=> (4/81)
* Rational(9, 8) / 4 #=> (9/32)
* Rational(20, 9) / 9.8 #=> 0.22675736961451246
*/
static VALUE
nurat_div(VALUE self, SEL sel, VALUE other)
{
switch (TYPE(other)) {
case T_FIXNUM:
case T_BIGNUM:
if (f_zero_p(other))
rb_raise_zerodiv();
{
get_dat1(self);
return f_muldiv(self,
dat->num, dat->den,
other, ONE, '/');
}
case T_FLOAT:
return rb_funcall(f_to_f(self), '/', 1, other);
case T_RATIONAL:
if (f_zero_p(other))
rb_raise_zerodiv();
{
get_dat2(self, other);
if (f_one_p(self))
return f_rational_new_no_reduce2(CLASS_OF(self),
bdat->den, bdat->num);
return f_muldiv(self,
adat->num, adat->den,
bdat->num, bdat->den, '/');
}
default:
return rb_num_coerce_bin(self, other, '/');
}
}
/*
* call-seq:
* rat * numeric -> numeric_result
*
* Performs multiplication.
*
* For example:
*
* Rational(2, 3) * Rational(2, 3) #=> (4/9)
* Rational(900) * Rational(1) #=> (900/1)
* Rational(-2, 9) * Rational(-9, 2) #=> (1/1)
* Rational(9, 8) * 4 #=> (9/2)
* Rational(20, 9) * 9.8 #=> 21.77777777777778
*/
static VALUE
nurat_mul(VALUE self, SEL sel, VALUE other)
{
switch (TYPE(other)) {
case T_FIXNUM:
case T_BIGNUM:
{
get_dat1(self);
return f_muldiv(self,
dat->num, dat->den,
other, ONE, '*');
}
case T_FLOAT:
return f_mul(f_to_f(self), other);
case T_RATIONAL:
{
get_dat2(self, other);
return f_muldiv(self,
adat->num, adat->den,
bdat->num, bdat->den, '*');
}
default:
return rb_num_coerce_bin(self, other, '*');
}
}
static VALUE
nurat_equal_p(VALUE self, VALUE other)
{
switch (TYPE(other)) {
case T_FIXNUM:
case T_BIGNUM:
{
get_dat1(self);
if (!FIXNUM_P(dat->den))
return Qfalse;
if (FIX2LONG(dat->den) != 1)
return Qfalse;
if (f_equal_p(dat->num, other))
return Qtrue;
else
return Qfalse;
}
case T_FLOAT:
return f_equal_p(f_to_f(self), other);
case T_RATIONAL:
{
get_dat2(self, other);
return f_boolcast(f_equal_p(adat->num, bdat->num) &&
f_equal_p(adat->den, bdat->den));
}
default:
return f_equal_p(other, self);
}
}
static VALUE
nurat_div(VALUE self, VALUE other)
{
switch (TYPE(other)) {
case T_FIXNUM:
case T_BIGNUM:
if (f_zero_p(other))
rb_raise(rb_eZeroDivError, "devided by zero");
{
get_dat1(self);
return f_muldiv(self,
dat->num, dat->den,
other, ONE, '/');
}
case T_FLOAT:
return rb_funcall(f_to_f(self), '/', 1, other);
case T_RATIONAL:
if (f_zero_p(other))
rb_raise(rb_eZeroDivError, "devided by zero");
{
get_dat2(self, other);
return f_muldiv(self,
adat->num, adat->den,
bdat->num, bdat->den, '/');
}
default:
return rb_num_coerce_bin(self, other, '/');
}
}
/*
* call-seq:
* cmp.abs -> real
* cmp.magnitude -> real
*
* Returns the absolute part of its polar form.
*
* Complex(-1).abs #=> 1
* Complex(3.0, -4.0).abs #=> 5.0
*/
static VALUE
nucomp_abs(VALUE self)
{
get_dat1(self);
if (f_zero_p(dat->real)) {
VALUE a = f_abs(dat->imag);
if (k_float_p(dat->real) && !k_float_p(dat->imag))
a = f_to_f(a);
return a;
}
if (f_zero_p(dat->imag)) {
VALUE a = f_abs(dat->real);
if (!k_float_p(dat->real) && k_float_p(dat->imag))
a = f_to_f(a);
return a;
}
return m_hypot(dat->real, dat->imag);
}
/*
* call-seq:
* cmp.to_f -> float
*
* Returns the value as a float if possible (the imaginary part should
* be exactly zero).
*
* Complex(1, 0).to_f #=> 1.0
* Complex(1, 0.0).to_f # RangeError
* Complex(1, 2).to_f # RangeError
*/
static VALUE
nucomp_to_f(VALUE self)
{
get_dat1(self);
if (k_inexact_p(dat->imag) || f_nonzero_p(dat->imag)) {
rb_raise(rb_eRangeError, "can't convert %"PRIsVALUE" into Float",
self);
}
return f_to_f(dat->real);
}
/*
* call-seq:
* cmp.to_f -> float
*
* Returns the value as a float if possible.
*/
static VALUE
nucomp_to_f(VALUE self)
{
get_dat1(self);
if (k_inexact_p(dat->imag) || f_nonzero_p(dat->imag)) {
VALUE s = f_to_s(self);
rb_raise(rb_eRangeError, "can't convert %s into Float",
StringValuePtr(s));
}
return f_to_f(dat->real);
}
static VALUE
nurat_coerce(VALUE self, VALUE other)
{
switch (TYPE(other)) {
case T_FIXNUM:
case T_BIGNUM:
return rb_assoc_new(f_rational_new_bang1(CLASS_OF(self), other), self);
case T_FLOAT:
return rb_assoc_new(other, f_to_f(self));
}
rb_raise(rb_eTypeError, "%s can't be coerced into %s",
rb_obj_classname(other), rb_obj_classname(self));
return Qnil;
}
/*
* call-seq:
* rat ** numeric -> numeric_result
*
* Performs exponentiation.
*
* For example:
*
* Rational(2) ** Rational(3) #=> (8/1)
* Rational(10) ** -2 #=> (1/100)
* Rational(10) ** -2.0 #=> 0.01
* Rational(-4) ** Rational(1,2) #=> (1.2246063538223773e-16+2.0i)
* Rational(1, 2) ** 0 #=> (1/1)
* Rational(1, 2) ** 0.0 #=> 1.0
*/
static VALUE
nurat_expt(VALUE self, SEL sel, VALUE other)
{
if (k_exact_zero_p(other))
return f_rational_new_bang1(CLASS_OF(self), ONE);
if (k_rational_p(other)) {
get_dat1(other);
if (f_one_p(dat->den))
other = dat->num; /* c14n */
}
switch (TYPE(other)) {
case T_FIXNUM:
{
VALUE num, den;
get_dat1(self);
switch (FIX2INT(f_cmp(other, ZERO))) {
case 1:
num = f_expt(dat->num, other);
den = f_expt(dat->den, other);
break;
case -1:
num = f_expt(dat->den, f_negate(other));
den = f_expt(dat->num, f_negate(other));
break;
default:
num = ONE;
den = ONE;
break;
}
return f_rational_new2(CLASS_OF(self), num, den);
}
case T_BIGNUM:
rb_warn("in a**b, b may be too big");
/* fall through */
case T_FLOAT:
case T_RATIONAL:
return f_expt(f_to_f(self), other);
default:
return rb_num_coerce_bin(self, other, id_expt);
}
}
/* :nodoc: */
static VALUE
nurat_coerce(VALUE self, SEL sel, VALUE other)
{
switch (TYPE(other)) {
case T_FIXNUM:
case T_BIGNUM:
return rb_assoc_new(f_rational_new_bang1(CLASS_OF(self), other), self);
case T_FLOAT:
return rb_assoc_new(other, f_to_f(self));
case T_RATIONAL:
return rb_assoc_new(other, self);
case T_COMPLEX:
if (k_exact_zero_p(RCOMPLEX(other)->imag))
return rb_assoc_new(f_rational_new_bang1
(CLASS_OF(self), RCOMPLEX(other)->real), self);
}
rb_raise(rb_eTypeError, "%s can't be coerced into %s",
rb_obj_classname(other), rb_obj_classname(self));
return Qnil;
}
static VALUE
nurat_cmp(VALUE self, VALUE other)
{
switch (TYPE(other)) {
case T_FIXNUM:
case T_BIGNUM:
{
get_dat1(self);
if (FIXNUM_P(dat->den) && FIX2LONG(dat->den) == 1)
return f_cmp(dat->num, other);
else
return f_cmp(self, f_rational_new_bang1(CLASS_OF(self), other));
}
case T_FLOAT:
return f_cmp(f_to_f(self), other);
case T_RATIONAL:
{
VALUE num1, num2;
get_dat2(self, other);
if (FIXNUM_P(adat->num) && FIXNUM_P(adat->den) &&
FIXNUM_P(bdat->num) && FIXNUM_P(bdat->den)) {
num1 = f_imul(FIX2LONG(adat->num), FIX2LONG(bdat->den));
num2 = f_imul(FIX2LONG(bdat->num), FIX2LONG(adat->den));
}
else {
num1 = f_mul(adat->num, bdat->den);
num2 = f_mul(bdat->num, adat->den);
}
return f_cmp(f_sub(num1, num2), ZERO);
}
default:
return rb_num_coerce_bin(self, other, id_cmp);
}
}
static VALUE
string_to_c_internal(VALUE self)
{
VALUE s;
s = self;
if (RSTRING_LEN(s) == 0)
return rb_assoc_new(Qnil, self);
{
VALUE m, sr, si, re, r, i;
int po;
m = f_match(comp_pat0, s);
if (!NIL_P(m)) {
sr = rb_reg_nth_match(1, m);
si = rb_reg_nth_match(2, m);
re = rb_reg_match_post(m);
po = 1;
}
if (NIL_P(m)) {
m = f_match(comp_pat1, s);
if (!NIL_P(m)) {
sr = Qnil;
si = rb_reg_nth_match(1, m);
if (NIL_P(si))
si = rb_usascii_str_new2("");
{
VALUE t;
t = rb_reg_nth_match(2, m);
if (NIL_P(t))
t = rb_usascii_str_new2("1");
rb_str_concat(si, t);
}
re = rb_reg_match_post(m);
po = 0;
}
}
if (NIL_P(m)) {
m = f_match(comp_pat2, s);
if (NIL_P(m))
return rb_assoc_new(Qnil, self);
sr = rb_reg_nth_match(1, m);
if (NIL_P(rb_reg_nth_match(2, m)))
si = Qnil;
else {
VALUE t;
si = rb_reg_nth_match(3, m);
t = rb_reg_nth_match(4, m);
if (NIL_P(t))
t = rb_usascii_str_new2("1");
rb_str_concat(si, t);
}
re = rb_reg_match_post(m);
po = 0;
}
r = INT2FIX(0);
i = INT2FIX(0);
if (!NIL_P(sr)) {
if (strchr(RSTRING_PTR(sr), '/'))
r = f_to_r(sr);
else if (strpbrk(RSTRING_PTR(sr), ".eE"))
r = f_to_f(sr);
else
r = f_to_i(sr);
}
if (!NIL_P(si)) {
if (strchr(RSTRING_PTR(si), '/'))
i = f_to_r(si);
else if (strpbrk(RSTRING_PTR(si), ".eE"))
i = f_to_f(si);
else
i = f_to_i(si);
}
if (po)
return rb_assoc_new(rb_complex_polar(r, i), re);
else
return rb_assoc_new(rb_complex_new2(r, i), re);
}
}
static VALUE
nurat_fdiv(VALUE self, VALUE other)
{
return f_div(f_to_f(self), other);
}
static VALUE
string_to_c_internal(VALUE self)
{
VALUE s;
s = self;
if (RSTRING_LEN(s) == 0)
return rb_assoc_new(Qnil, self);
{
VALUE m, sr, si, re, r, i;
int po;
m = f_match(comp_pat0, s);
if (!NIL_P(m)) {
sr = f_aref(m, INT2FIX(1));
si = f_aref(m, INT2FIX(2));
re = f_post_match(m);
po = 1;
}
if (NIL_P(m)) {
m = f_match(comp_pat1, s);
if (!NIL_P(m)) {
sr = Qnil;
si = f_aref(m, INT2FIX(1));
if (NIL_P(si))
si = rb_usascii_str_new2("");
{
VALUE t;
t = f_aref(m, INT2FIX(2));
if (NIL_P(t))
t = rb_usascii_str_new2("1");
rb_str_concat(si, t);
}
re = f_post_match(m);
po = 0;
}
}
if (NIL_P(m)) {
m = f_match(comp_pat2, s);
if (NIL_P(m))
return rb_assoc_new(Qnil, self);
sr = f_aref(m, INT2FIX(1));
if (NIL_P(f_aref(m, INT2FIX(2))))
si = Qnil;
else {
VALUE t;
si = f_aref(m, INT2FIX(3));
t = f_aref(m, INT2FIX(4));
if (NIL_P(t))
t = rb_usascii_str_new2("1");
rb_str_concat(si, t);
}
re = f_post_match(m);
po = 0;
}
r = INT2FIX(0);
i = INT2FIX(0);
if (!NIL_P(sr)) {
if (f_include_p(sr, a_slash))
r = f_to_r(sr);
else if (f_gt_p(f_count(sr, a_dot_and_an_e), INT2FIX(0)))
r = f_to_f(sr);
else
r = f_to_i(sr);
}
if (!NIL_P(si)) {
if (f_include_p(si, a_slash))
i = f_to_r(si);
else if (f_gt_p(f_count(si, a_dot_and_an_e), INT2FIX(0)))
i = f_to_f(si);
else
i = f_to_i(si);
}
if (po)
return rb_assoc_new(rb_complex_polar(r, i), re);
else
return rb_assoc_new(rb_complex_new2(r, i), re);
}
}