Method: Rational#rationalize

Defined in:
rational.c

#rationalize ⇒ self #rationalize(eps) ⇒ Object

Returns a simpler approximation of the value if the optional argument eps is given (rat-|eps| <= result <= rat+|eps|), self otherwise.

r = Rational(5033165, 16777216)
r.rationalize                    #=> (5033165/16777216)
r.rationalize(Rational('0.01'))  #=> (3/10)
r.rationalize(Rational('0.1'))   #=> (1/3)

Overloads:

  • #rationalize ⇒ self

    Returns:

    • (self) 


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# File 'rational.c', line 1729

static VALUE
nurat_rationalize(int argc, VALUE *argv, VALUE self)
{
    VALUE e, a, b, p, q;
    VALUE rat = self;
    get_dat1(self);

    if (rb_check_arity(argc, 0, 1) == 0)
        return self;

    e = f_abs(argv[0]);

    if (INT_NEGATIVE_P(dat->num)) {
        rat = f_rational_new2(RBASIC_CLASS(self), rb_int_uminus(dat->num), dat->den);
    }

    a = FIXNUM_ZERO_P(e) ? rat : rb_rational_minus(rat, e);
    b = FIXNUM_ZERO_P(e) ? rat : rb_rational_plus(rat, e);

    if (f_eqeq_p(a, b))
        return self;

    nurat_rationalize_internal(a, b, &p, &q);
    if (rat != self) {
        RATIONAL_SET_NUM(rat, rb_int_uminus(p));
        RATIONAL_SET_DEN(rat, q);
        return rat;
    }
    return f_rational_new2(CLASS_OF(self), p, q);
}