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Diffstat (limited to 'trunk/test/ruby/test_rational.rb')
| -rw-r--r-- | trunk/test/ruby/test_rational.rb | 1074 |
1 files changed, 1074 insertions, 0 deletions
diff --git a/trunk/test/ruby/test_rational.rb b/trunk/test/ruby/test_rational.rb new file mode 100644 index 0000000000..eb52e3e193 --- /dev/null +++ b/trunk/test/ruby/test_rational.rb @@ -0,0 +1,1074 @@ +require 'test/unit' + +class RationalSub < Rational; end + +class Rational_Test < Test::Unit::TestCase + + def test_ratsub + c = RationalSub.__send__(:new, 1) + cc = RationalSub.__send__(:convert, 1) + if defined?(RationalSub::Unify) + assert_instance_of(Fixnum, c) + assert_instance_of(Fixnum, cc) + else + assert_instance_of(RationalSub, c) + assert_instance_of(RationalSub, cc) + + c2 = c + 1 + assert_instance_of(RationalSub, c2) + c2 = c - 1 + assert_instance_of(RationalSub, c2) + + c3 = c - c2 + assert_instance_of(RationalSub, c3) + + s = Marshal.dump(c) + c5 = Marshal.load(s) + assert_equal(c, c5) + assert_instance_of(RationalSub, c5) + end + end + + def test_hash + assert_instance_of(Fixnum, Rational(1,2).hash) + + h = {} + h[Rational(0)] = 0 + h[Rational(1,1)] = 1 + h[Rational(2,1)] = 2 + h[Rational(3,1)] = 3 + + assert_equal(4, h.size) + assert_equal(2, h[Rational(2,1)]) + + h[Rational(0,1)] = 9 + assert_equal(4, h.size) + end + + def test_freeze + c = Rational(1) + c.freeze + unless defined?(Rational::Unify) + assert_equal(true, c.frozen?) + end + assert_instance_of(String, c.to_s) + end + + def test_new_bang # no unify & no reduce + assert_instance_of(Rational, Rational.__send__(:new!, 2,1)) + assert_equal([2,1], Rational.__send__(:new!, 2,1). + instance_eval{[numerator, denominator]}) + assert_equal([2,4], Rational.__send__(:new!, 2,4). + instance_eval{[numerator, denominator]}) + assert_equal([-2,4], Rational.__send__(:new!, -2,4). + instance_eval{[numerator, denominator]}) + assert_equal([-2,4], Rational.__send__(:new!, 2,-4). + instance_eval{[numerator, denominator]}) + assert_equal([2,4], Rational.__send__(:new!, -2,-4). + instance_eval{[numerator, denominator]}) + + # to_i + assert_equal([2,1], Rational.__send__(:new!, Rational(2)). + instance_eval{[numerator, denominator]}) + assert_equal([2,3], Rational.__send__(:new!, Rational(2), Rational(3)). + instance_eval{[numerator, denominator]}) + assert_equal([2,3], Rational.__send__(:new!, 2, Rational(3)). + instance_eval{[numerator, denominator]}) + + assert_equal([1,1], Rational.__send__(:new!, 1.1). + instance_eval{[numerator, denominator]}) + assert_equal([-1,1], Rational.__send__(:new!, -1.1). + instance_eval{[numerator, denominator]}) + assert_equal([1,1], Rational.__send__(:new!, '1'). + instance_eval{[numerator, denominator]}) + assert_equal([0,1], Rational.__send__(:new!, nil). + instance_eval{[numerator, denominator]}) + + assert_raise(ZeroDivisionError){Rational.__send__(:new!, 1, 0)} + end + +=begin + def test_reduce + if defined?(Rational::Unify) + assert_instance_of(Fixnum, Rational.__send__(:reduce, 2,1)) + else + assert_instance_of(Rational, Rational.__send__(:reduce, 2,1)) + assert_instance_of(Rational, Rational.__send__(:reduce, 2,1)) + end + assert_equal([2,1], Rational.__send__(:reduce, 2,1). + instance_eval{[numerator, denominator]}) + assert_equal([1,2], Rational.__send__(:reduce, 2,4). + instance_eval{[numerator, denominator]}) + assert_equal([-1,2], Rational.__send__(:reduce, -2,4). + instance_eval{[numerator, denominator]}) + assert_equal([-1,2], Rational.__send__(:reduce, 2,-4). + instance_eval{[numerator, denominator]}) + assert_equal([1,2], Rational.__send__(:reduce, -2,-4). + instance_eval{[numerator, denominator]}) + + assert_raise(ArgumentError){Rational.__send__(:reduce, Rational(1,2),2)} + assert_raise(ArgumentError){Rational.__send__(:reduce, 2,Rational(1,2))} + assert_raise(ArgumentError){Rational. + __send__(:reduce, Rational(1,2),Rational(1,2))} + + assert_raise(ArgumentError){Rational.__send__(:reduce, 1.1)} + assert_raise(ArgumentError){Rational.__send__(:reduce, -1.1)} + assert_raise(ArgumentError){Rational.__send__(:reduce, '1')} + assert_raise(ArgumentError){Rational.__send__(:reduce, nil)} + end +=end + + def test_new + if defined?(Rational::Unify) + assert_instance_of(Fixnum, Rational.__send__(:new, 2,1)) + else + assert_instance_of(Rational, Rational.__send__(:new, 2,1)) + assert_equal([2,1], Rational.__send__(:new, 2,1). + instance_eval{[numerator, denominator]}) + end + assert_equal([1,2], Rational.__send__(:new, 2,4). + instance_eval{[numerator, denominator]}) + assert_equal([-1,2], Rational.__send__(:new, -2,4). + instance_eval{[numerator, denominator]}) + assert_equal([-1,2], Rational.__send__(:new, 2,-4). + instance_eval{[numerator, denominator]}) + assert_equal([1,2], Rational.__send__(:new, -2,-4). + instance_eval{[numerator, denominator]}) + + assert_raise(ArgumentError){Rational.__send__(:new, Rational(1,2),2)} + assert_raise(ArgumentError){Rational.__send__(:new, 2,Rational(1,2))} + assert_raise(ArgumentError){Rational.__send__(:new, Rational(1,2),Rational(1,2))} + + assert_raise(ArgumentError){Rational.__send__(:new, 1.1)} + assert_raise(ArgumentError){Rational.__send__(:new, -1.1)} + assert_raise(ArgumentError){Rational.__send__(:new, '1')} + assert_raise(ArgumentError){Rational.__send__(:new, nil)} +=begin + assert_raise(ArgumentError){Rational.__send__(:new, Rational(1))} + if defined?(Complex) + assert_raise(ArgumentError){Rational.__send__(:new, Complex(1))} + end +=end + end + + def test_conv + c = Rational(0,1) + assert_equal(Rational.__send__(:new, 0,1), c) + + c = Rational(2**32, 2**32) + assert_equal(Rational.__send__(:new, 2**32,2**32), c) + assert_equal([1,1], [c.numerator,c.denominator]) + + c = Rational(-2**32, 2**32) + assert_equal(Rational.__send__(:new, -2**32,2**32), c) + assert_equal([-1,1], [c.numerator,c.denominator]) + + c = Rational(2**32, -2**32) + assert_equal(Rational.__send__(:new, 2**32,-2**32), c) + assert_equal([-1,1], [c.numerator,c.denominator]) + + c = Rational(-2**32, -2**32) + assert_equal(Rational.__send__(:new, -2**32,-2**32), c) + assert_equal([1,1], [c.numerator,c.denominator]) + + c = Rational(Rational(1,2),2) + assert_equal(Rational.__send__(:new, 1,4), c) + + c = Rational(2,Rational(1,2)) + assert_equal(Rational.__send__(:new, 4), c) + + c = Rational(Rational(1,2),Rational(1,2)) + assert_equal(Rational.__send__(:new, 1), c) + + assert_equal(Rational.__send__(:new, 1),Rational(1)) + assert_equal(1.1.to_r,Rational(1.1)) + assert_equal(Rational.__send__(:new, 1),Rational('1')) + assert_raise(ArgumentError){Rational(nil)} + end + + def test_attr + c = Rational(4) + + assert_equal(4, c.numerator) + assert_equal(1, c.denominator) + + c = Rational(4,5) + + assert_equal(4, c.numerator) + assert_equal(5, c.denominator) + + c = Rational.__send__(:new, 4) + + assert_equal(4, c.numerator) + assert_equal(1, c.denominator) + + c = Rational.__send__(:new, 4,5) + + assert_equal(4, c.numerator) + assert_equal(5, c.denominator) + + c = Rational.__send__(:new!, 4) + + assert_equal(4, c.numerator) + assert_equal(1, c.denominator) + + c = Rational.__send__(:new!, 4,5) + + assert_equal(4, c.numerator) + assert_equal(5, c.denominator) + end + + def test_attr2 + c = Rational(1) + + if defined?(Rational::Unify) + assert_equal(true, c.scalar?) +=begin + assert_equal(true, c.finite?) + assert_equal(false, c.infinite?) + assert_equal(false, c.nan?) + assert_equal(true, c.integer?) + assert_equal(false, c.float?) + assert_equal(true, c.rational?) + assert_equal(true, c.real?) + assert_equal(false, c.complex?) + assert_equal(true, c.exact?) + assert_equal(false, c.inexact?) +=end + else + assert_equal(true, c.scalar?) +=begin + assert_equal(true, c.finite?) + assert_equal(false, c.infinite?) + assert_equal(false, c.nan?) + assert_equal(false, c.integer?) + assert_equal(false, c.float?) + assert_equal(true, c.rational?) + assert_equal(true, c.real?) + assert_equal(false, c.complex?) + assert_equal(true, c.exact?) + assert_equal(false, c.inexact?) +=end + end + +=begin + assert_equal(true, Rational(0).positive?) + assert_equal(true, Rational(1).positive?) + assert_equal(false, Rational(-1).positive?) + assert_equal(false, Rational(0).negative?) + assert_equal(false, Rational(1).negative?) + assert_equal(true, Rational(-1).negative?) + + assert_equal(0, Rational(0).sign) + assert_equal(1, Rational(2).sign) + assert_equal(-1, Rational(-2).sign) +=end + + assert_equal(true, Rational(0).zero?) + assert_equal(true, Rational(0,1).zero?) + assert_equal(false, Rational(1,1).zero?) + + assert_equal(nil, Rational(0).nonzero?) + assert_equal(nil, Rational(0,1).nonzero?) + assert_equal(Rational(1,1), Rational(1,1).nonzero?) + end + + def test_uplus + assert_equal(Rational(1), +Rational(1)) + assert_equal(Rational(-1), +Rational(-1)) + assert_equal(Rational(1,1), +Rational(1,1)) + assert_equal(Rational(-1,1), +Rational(-1,1)) + assert_equal(Rational(-1,1), +Rational(1,-1)) + assert_equal(Rational(1,1), +Rational(-1,-1)) + end + + def test_negate + assert_equal(Rational(-1), -Rational(1)) + assert_equal(Rational(1), -Rational(-1)) + assert_equal(Rational(-1,1), -Rational(1,1)) + assert_equal(Rational(1,1), -Rational(-1,1)) + assert_equal(Rational(1,1), -Rational(1,-1)) + assert_equal(Rational(-1,1), -Rational(-1,-1)) + +=begin + assert_equal(0, Rational(0).negate) + assert_equal(-2, Rational(2).negate) + assert_equal(2, Rational(-2).negate) +=end + end + + def test_add + c = Rational(1,2) + c2 = Rational(2,3) + + assert_equal(Rational(7,6), c + c2) + + assert_equal(Rational(5,2), c + 2) + assert_equal(2.5, c + 2.0) + end + + def test_sub + c = Rational(1,2) + c2 = Rational(2,3) + + assert_equal(Rational(-1,6), c - c2) + + assert_equal(Rational(-3,2), c - 2) + assert_equal(-1.5, c - 2.0) + end + + def test_mul + c = Rational(1,2) + c2 = Rational(2,3) + + assert_equal(Rational(1,3), c * c2) + + assert_equal(Rational(1,1), c * 2) + assert_equal(1.0, c * 2.0) + end + + def test_div + c = Rational(1,2) + c2 = Rational(2,3) + + assert_equal(Rational(3,4), c / c2) + + assert_equal(Rational(1,4), c / 2) + assert_equal(0.25, c / 2.0) + end + + def assert_eql(exp, act, *args) + unless Array === exp + exp = [exp] + end + unless Array === act + act = [act] + end + exp.zip(act).each do |e, a| + na = [e, a] + args + assert_equal(*na) + na = [e.class, a] + args + assert_instance_of(*na) + end + end + + def test_idiv + c = Rational(1,2) + c2 = Rational(2,3) + + assert_eql(0, c.div(c2)) + assert_eql(0, c.div(2)) + assert_eql(0, c.div(2.0)) + + c = Rational(301,100) + c2 = Rational(7,5) + + assert_equal(2, c.div(c2)) + assert_equal(-3, c.div(-c2)) + assert_equal(-3, (-c).div(c2)) + assert_equal(2, (-c).div(-c2)) + + c = Rational(301,100) + c2 = Rational(2) + + assert_equal(1, c.div(c2)) + assert_equal(-2, c.div(-c2)) + assert_equal(-2, (-c).div(c2)) + assert_equal(1, (-c).div(-c2)) + + unless defined?(Rational::Unify) + c = Rational(11) + c2 = Rational(3) + + assert_equal(3, c.div(c2)) + assert_equal(-4, c.div(-c2)) + assert_equal(-4, (-c).div(c2)) + assert_equal(3, (-c).div(-c2)) + end + end + + def test_divmod + c = Rational(1,2) + c2 = Rational(2,3) + + assert_eql([0, Rational(1,2)], c.divmod(c2)) + assert_eql([0, Rational(1,2)], c.divmod(2)) + assert_eql([0, 0.5], c.divmod(2.0)) + + c = Rational(301,100) + c2 = Rational(7,5) + + assert_equal([2, Rational(21,100)], c.divmod(c2)) + assert_equal([-3, Rational(-119,100)], c.divmod(-c2)) + assert_equal([-3, Rational(119,100)], (-c).divmod(c2)) + assert_equal([2, Rational(-21,100)], (-c).divmod(-c2)) + + c = Rational(301,100) + c2 = Rational(2) + + assert_equal([1, Rational(101,100)], c.divmod(c2)) + assert_equal([-2, Rational(-99,100)], c.divmod(-c2)) + assert_equal([-2, Rational(99,100)], (-c).divmod(c2)) + assert_equal([1, Rational(-101,100)], (-c).divmod(-c2)) + + unless defined?(Rational::Unify) + c = Rational(11) + c2 = Rational(3) + + assert_equal([3,2], c.divmod(c2)) + assert_equal([-4,-1], c.divmod(-c2)) + assert_equal([-4,1], (-c).divmod(c2)) + assert_equal([3,-2], (-c).divmod(-c2)) + end + end + +=begin + def test_quot + c = Rational(1,2) + c2 = Rational(2,3) + + assert_eql(0, c.quot(c2)) + assert_eql(0, c.quot(2)) + assert_eql(0, c.quot(2.0)) + + c = Rational(301,100) + c2 = Rational(7,5) + + assert_equal(2, c.quot(c2)) + assert_equal(-2, c.quot(-c2)) + assert_equal(-2, (-c).quot(c2)) + assert_equal(2, (-c).quot(-c2)) + + c = Rational(301,100) + c2 = Rational(2) + + assert_equal(1, c.quot(c2)) + assert_equal(-1, c.quot(-c2)) + assert_equal(-1, (-c).quot(c2)) + assert_equal(1, (-c).quot(-c2)) + + unless defined?(Rational::Unify) + c = Rational(11) + c2 = Rational(3) + + assert_equal(3, c.quot(c2)) + assert_equal(-3, c.quot(-c2)) + assert_equal(-3, (-c).quot(c2)) + assert_equal(3, (-c).quot(-c2)) + end + end + + def test_quotrem + c = Rational(1,2) + c2 = Rational(2,3) + + assert_eql([0, Rational(1,2)], c.quotrem(c2)) + assert_eql([0, Rational(1,2)], c.quotrem(2)) + assert_eql([0, 0.5], c.quotrem(2.0)) + + c = Rational(301,100) + c2 = Rational(7,5) + + assert_equal([2, Rational(21,100)], c.quotrem(c2)) + assert_equal([-2, Rational(21,100)], c.quotrem(-c2)) + assert_equal([-2, Rational(-21,100)], (-c).quotrem(c2)) + assert_equal([2, Rational(-21,100)], (-c).quotrem(-c2)) + + c = Rational(301,100) + c2 = Rational(2) + + assert_equal([1, Rational(101,100)], c.quotrem(c2)) + assert_equal([-1, Rational(101,100)], c.quotrem(-c2)) + assert_equal([-1, Rational(-101,100)], (-c).quotrem(c2)) + assert_equal([1, Rational(-101,100)], (-c).quotrem(-c2)) + + unless defined?(Rational::Unify) + c = Rational(11) + c2 = Rational(3) + + assert_equal([3,2], c.quotrem(c2)) + assert_equal([-3,2], c.quotrem(-c2)) + assert_equal([-3,-2], (-c).quotrem(c2)) + assert_equal([3,-2], (-c).quotrem(-c2)) + end + end +=end + + def test_quo + c = Rational(1,2) + c2 = Rational(2,3) + + assert_equal(Rational(3,4), c.quo(c2)) + + assert_equal(Rational(1,4), c.quo(2)) + assert_equal(Rational(0.25), c.quo(2.0)) + end + + def test_fdiv + c = Rational(1,2) + c2 = Rational(2,3) + + assert_equal(0.75, c.fdiv(c2)) + + assert_equal(0.25, c.fdiv(2)) + assert_equal(0.25, c.fdiv(2.0)) + end + + def test_expt + c = Rational(1,2) + c2 = Rational(2,3) + + r = c ** c2 + assert_in_delta(0.6299, r, 0.001) + + assert_equal(Rational(1,4), c ** 2) + assert_equal(Rational(4), c ** -2) + assert_equal(Rational(1,4), (-c) ** 2) + assert_equal(Rational(4), (-c) ** -2) + + assert_equal(0.25, c ** 2.0) + assert_equal(4.0, c ** -2.0) + + assert_equal(Rational(1,4), c ** Rational(2)) + assert_equal(Rational(4), c ** Rational(-2)) + + assert_equal(Rational(1), 0 ** Rational(0)) + assert_equal(Rational(1), Rational(0) ** 0) + assert_equal(Rational(1), Rational(0) ** Rational(0)) + + # p ** p + x = 2 ** Rational(2) + assert_equal(Rational(4), x) + unless defined?(Rational::Unify) + assert_instance_of(Rational, x) + end + assert_equal(4, x.numerator) + assert_equal(1, x.denominator) + + x = Rational(2) ** 2 + assert_equal(Rational(4), x) + unless defined?(Rational::Unify) + assert_instance_of(Rational, x) + end + assert_equal(4, x.numerator) + assert_equal(1, x.denominator) + + x = Rational(2) ** Rational(2) + assert_equal(Rational(4), x) + unless defined?(Rational::Unify) + assert_instance_of(Rational, x) + end + assert_equal(4, x.numerator) + assert_equal(1, x.denominator) + + # -p ** p + x = (-2) ** Rational(2) + assert_equal(Rational(4), x) + unless defined?(Rational::Unify) + assert_instance_of(Rational, x) + end + assert_equal(4, x.numerator) + assert_equal(1, x.denominator) + + x = Rational(-2) ** 2 + assert_equal(Rational(4), x) + unless defined?(Rational::Unify) + assert_instance_of(Rational, x) + end + assert_equal(4, x.numerator) + assert_equal(1, x.denominator) + + x = Rational(-2) ** Rational(2) + assert_equal(Rational(4), x) + unless defined?(Rational::Unify) + assert_instance_of(Rational, x) + end + assert_equal(4, x.numerator) + assert_equal(1, x.denominator) + + # p ** -p + x = 2 ** Rational(-2) + assert_equal(Rational(1,4), x) + assert_instance_of(Rational, x) + assert_equal(1, x.numerator) + assert_equal(4, x.denominator) + + x = Rational(2) ** -2 + assert_equal(Rational(1,4), x) + assert_instance_of(Rational, x) + assert_equal(1, x.numerator) + assert_equal(4, x.denominator) + + x = Rational(2) ** Rational(-2) + assert_equal(Rational(1,4), x) + assert_instance_of(Rational, x) + assert_equal(1, x.numerator) + assert_equal(4, x.denominator) + + # -p ** -p + x = (-2) ** Rational(-2) + assert_equal(Rational(1,4), x) + assert_instance_of(Rational, x) + assert_equal(1, x.numerator) + assert_equal(4, x.denominator) + + x = Rational(-2) ** -2 + assert_equal(Rational(1,4), x) + assert_instance_of(Rational, x) + assert_equal(1, x.numerator) + assert_equal(4, x.denominator) + + x = Rational(-2) ** Rational(-2) + assert_equal(Rational(1,4), x) + assert_instance_of(Rational, x) + assert_equal(1, x.numerator) + assert_equal(4, x.denominator) + + unless defined?(Rational::Unify) # maybe bug mathn + assert_raise(ZeroDivisionError){0 ** -1} + end + end + + def test_cmp + assert_equal(-1, Rational(-1) <=> Rational(0)) + assert_equal(0, Rational(0) <=> Rational(0)) + assert_equal(+1, Rational(+1) <=> Rational(0)) + + assert_equal(-1, Rational(-1) <=> 0) + assert_equal(0, Rational(0) <=> 0) + assert_equal(+1, Rational(+1) <=> 0) + + assert_equal(-1, Rational(-1) <=> 0.0) + assert_equal(0, Rational(0) <=> 0.0) + assert_equal(+1, Rational(+1) <=> 0.0) + + assert_equal(-1, Rational(1,2) <=> Rational(2,3)) + assert_equal(0, Rational(2,3) <=> Rational(2,3)) + assert_equal(+1, Rational(2,3) <=> Rational(1,2)) + + f = 2**30-1 + b = 2**30 + + assert_equal(0, Rational(f) <=> Rational(f)) + assert_equal(-1, Rational(f) <=> Rational(b)) + assert_equal(+1, Rational(b) <=> Rational(f)) + assert_equal(0, Rational(b) <=> Rational(b)) + + assert_equal(-1, Rational(f-1) <=> Rational(f)) + assert_equal(+1, Rational(f) <=> Rational(f-1)) + assert_equal(-1, Rational(b-1) <=> Rational(b)) + assert_equal(+1, Rational(b) <=> Rational(b-1)) + + assert_equal(false, Rational(0) < Rational(0)) + assert_equal(true, Rational(0) <= Rational(0)) + assert_equal(true, Rational(0) >= Rational(0)) + assert_equal(false, Rational(0) > Rational(0)) + end + + def test_equal + assert(Rational(1,1) == Rational(1)) + assert(Rational(1,1) == Rational.__send__(:new, 1)) + assert(Rational(1,1) == Rational.__send__(:new, 1,1)) + assert(Rational(1,1) == Rational.__send__(:new!, 1)) + assert(Rational(1,1) == Rational.__send__(:new!, 1,1)) + + assert(Rational(-1,1) == Rational(-1)) + assert(Rational(-1,1) == Rational.__send__(:new, -1)) + assert(Rational(-1,1) == Rational.__send__(:new, -1,1)) + assert(Rational(-1,1) == Rational.__send__(:new!, -1)) + assert(Rational(-1,1) == Rational.__send__(:new!, -1,1)) + + assert_equal(false, Rational(2,1) == Rational(1)) + assert_equal(true, Rational(2,1) != Rational(1)) + assert_equal(false, Rational(1) == nil) + assert_equal(false, Rational(1) == '') + end + + def test_unify + if defined?(Rational::Unify) + assert_instance_of(Fixnum, Rational(1,2) + Rational(1,2)) + assert_instance_of(Fixnum, Rational(1,2) - Rational(1,2)) + assert_instance_of(Fixnum, Rational(1,2) * 2) + assert_instance_of(Fixnum, Rational(1,2) / Rational(1,2)) + assert_instance_of(Fixnum, Rational(1,2).div(Rational(1,2))) + assert_instance_of(Fixnum, Rational(1,2).quo(Rational(1,2))) + assert_instance_of(Fixnum, Rational(1,2) ** -2) + end + end + + def test_to_s + c = Rational(1,2) + + assert_instance_of(String, c.to_s) + assert_equal('1/2', c.to_s) + + if defined?(Rational::Unify) + assert_equal('0', Rational(0,2).to_s) + assert_equal('0', Rational(0,-2).to_s) + else + assert_equal('0/1', Rational(0,2).to_s) + assert_equal('0/1', Rational(0,-2).to_s) + end + assert_equal('1/2', Rational(1,2).to_s) + assert_equal('-1/2', Rational(-1,2).to_s) + assert_equal('1/2', Rational(-1,-2).to_s) + assert_equal('-1/2', Rational(1,-2).to_s) + assert_equal('1/2', Rational(-1,-2).to_s) + end + + def test_inspect + c = Rational(1,2) + + assert_instance_of(String, c.inspect) + assert_equal('(1/2)', c.inspect) + end + + def test_marshal + c = Rational(1,2) + + s = Marshal.dump(c) + c2 = Marshal.load(s) + assert_equal(c, c2) + assert_instance_of(Rational, c2) + + assert_raise(ZeroDivisionError){ + Marshal.load("\x04\bU:\rRational[\ai\x06i\x05") + } + end + + def test_parse + assert_equal(Rational(0), ''.to_r) + assert_equal(Rational(0), ' '.to_r) + assert_equal(Rational(5), '5'.to_r) + assert_equal(Rational(-5), '-5'.to_r) + assert_equal(Rational(5,3), '5/3'.to_r) + assert_equal(Rational(-5,3), '-5/3'.to_r) +# assert_equal(Rational(5,-3), '5/-3'.to_r) +# assert_equal(Rational(-5,-3), '-5/-3'.to_r) + + assert_equal(Rational(5), '5.0'.to_r) + assert_equal(Rational(-5), '-5.0'.to_r) + assert_equal(Rational(5,3), '5.0/3'.to_r) + assert_equal(Rational(-5,3), '-5.0/3'.to_r) +# assert_equal(Rational(5,-3), '5.0/-3'.to_r) +# assert_equal(Rational(-5,-3), '-5.0/-3'.to_r) + + assert_equal(Rational(5), '5e0'.to_r) + assert_equal(Rational(-5), '-5e0'.to_r) + assert_equal(Rational(5,3), '5e0/3'.to_r) + assert_equal(Rational(-5,3), '-5e0/3'.to_r) +# assert_equal(Rational(5,-3), '5e0/-3'.to_r) +# assert_equal(Rational(-5,-3), '-5e0/-3'.to_r) + + assert_equal(Rational(33,100), '0.33'.to_r) + assert_equal(Rational(-33,100), '-0.33'.to_r) + assert_equal(Rational(-33,100), '-0.3_3'.to_r) + + assert_equal(Rational(1,2), '5e-1'.to_r) + assert_equal(Rational(50), '5e+1'.to_r) + assert_equal(Rational(1,2), '5.0e-1'.to_r) + assert_equal(Rational(50), '5.0e+1'.to_r) + assert_equal(Rational(50), '5e1'.to_r) + assert_equal(Rational(50), '5E1'.to_r) + assert_equal(Rational(500), '5e2'.to_r) + assert_equal(Rational(5000), '5e3'.to_r) + assert_equal(Rational(500000000000), '5e1_1'.to_r) + + assert_equal(Rational(5), Rational('5')) + assert_equal(Rational(-5), Rational('-5')) + assert_equal(Rational(5,3), Rational('5/3')) + assert_equal(Rational(-5,3), Rational('-5/3')) +# assert_equal(Rational(5,-3), Rational('5/-3')) +# assert_equal(Rational(-5,-3), Rational('-5/-3')) + + assert_equal(Rational(33,100), Rational('0.33')) + assert_equal(Rational(-33,100), Rational('-0.33')) + assert_equal(Rational(-33,100), Rational('-0.3_3')) + + assert_equal(Rational(1,2), Rational('5e-1')) + assert_equal(Rational(50), Rational('5e1')) + assert_equal(Rational(50), Rational('5E1')) + assert_equal(Rational(500), Rational('5e2')) + assert_equal(Rational(5000), Rational('5e3')) + assert_equal(Rational(500000000000), Rational('5e1_1')) + + assert_equal(Rational(5.0), Rational('5.0')) + assert_equal(Rational(-5.0), Rational('-5.0')) + assert_equal(Rational(5.0,3), Rational('5.0/3')) + assert_equal(Rational(-5.0,3), Rational('-5.0/3')) +# assert_equal(Rational(5.0,-3), Rational('5.0/-3')) +# assert_equal(Rational(-5.0,-3), Rational('-5.0/-3')) + + assert_equal(Rational(0), '_'.to_r) + assert_equal(Rational(0), '_5'.to_r) + assert_equal(Rational(5), '5_'.to_r) + assert_equal(Rational(5), '5x'.to_r) + assert_equal(Rational(5), '5/_3'.to_r) + assert_equal(Rational(5,3), '5/3_'.to_r) + assert_equal(Rational(5,3), '5/3.3'.to_r) + assert_equal(Rational(5,3), '5/3x'.to_r) + assert_raise(ArgumentError){ Rational('')} + assert_raise(ArgumentError){ Rational('_')} + assert_raise(ArgumentError){ Rational('_5')} + assert_raise(ArgumentError){ Rational('5_')} + assert_raise(ArgumentError){ Rational('5x')} + assert_raise(ArgumentError){ Rational('5/_3')} + assert_raise(ArgumentError){ Rational('5/3_')} + assert_raise(ArgumentError){ Rational('5/3.3')} + assert_raise(ArgumentError){ Rational('5/3x')} + end + +=begin + def test_reciprocal + assert_equal(Rational(1,9), Rational(9,1).reciprocal) + assert_equal(Rational(9,1), Rational(1,9).reciprocal) + assert_equal(Rational(-1,9), Rational(-9,1).reciprocal) + assert_equal(Rational(-9,1), Rational(-1,9).reciprocal) + end +=end + + def test_to_i + assert_equal(1, Rational(3,2).to_i) + assert_equal(1, Integer(Rational(3,2))) + end + + def test_to_f + assert_equal(1.5, Rational(3,2).to_f) + assert_equal(1.5, Float(Rational(3,2))) + end + + def test_to_c + if defined?(Complex) && !Complex.instance_variable_get('@RCS_ID') + if defined?(Rational::Unify) + assert_equal(Rational(3,2), Rational(3,2).to_c) + assert_equal(Rational(3,2), Complex(Rational(3,2))) + else + assert_equal(Complex(Rational(3,2)), Rational(3,2).to_c) + assert_equal(Complex(Rational(3,2)), Complex(Rational(3,2))) + end + end + end + + def test_to_r + c = nil.to_r + assert_equal([0,1] , [c.numerator, c.denominator]) + + c = 0.to_r + assert_equal([0,1] , [c.numerator, c.denominator]) + + c = 1.to_r + assert_equal([1,1] , [c.numerator, c.denominator]) + + c = 1.1.to_r + assert_equal([2476979795053773, 2251799813685248], + [c.numerator, c.denominator]) + + c = Rational(1,2).to_r + assert_equal([1,2] , [c.numerator, c.denominator]) + + if defined?(Complex) + if Complex.instance_variable_get('@RCS_ID') + assert_raise(NoMethodError){Complex(1,2).to_r} + else + assert_raise(RangeError){Complex(1,2).to_r} + end + end + end + + def test_prec + assert_equal(true, Rational < Precision) + + c = Rational(3,2) + + assert_eql(1, c.prec(Integer)) + assert_eql(1.5, c.prec(Float)) + assert_eql(c, c.prec(Rational)) + end + + def test_supp + assert_equal(true, 1.scalar?) + assert_equal(true, 1.1.scalar?) + + if defined?(Complex) + assert_equal(1, 1.real) + assert_equal(0, 1.image) + assert_equal(0, 1.imag) + + assert_equal(1.1, 1.1.real) + assert_equal(0, 1.1.image) + assert_equal(0, 1.1.imag) + + assert_equal(0, 1.arg) + assert_equal(0, 1.angle) + + assert_equal(0, 1.0.arg) + assert_equal(0, 1.0.angle) + + assert_equal(Math::PI, -1.arg) + assert_equal(Math::PI, -1.angle) + + assert_equal(Math::PI, -1.0.arg) + assert_equal(Math::PI, -1.0.angle) + + assert_equal([1,0], 1.polar) + assert_equal([1, Math::PI], -1.polar) + + assert_equal([1.0,0], 1.0.polar) + assert_equal([1.0, Math::PI], -1.0.polar) + + assert_equal(1, 1.conjugate) + assert_equal(-1, -1.conjugate) + assert_equal(1, 1.conj) + assert_equal(-1, -1.conj) + + assert_equal(1.1, 1.1.conjugate) + assert_equal(-1.1, -1.1.conjugate) + assert_equal(1.1, 1.1.conj) + assert_equal(-1.1, -1.1.conj) + end + + assert_equal(1, 1.numerator) + assert_equal(9, 9.numerator) + assert_equal(1, 1.denominator) + assert_equal(1, 9.denominator) + + assert_equal(1.0, 1.0.numerator) + assert_equal(9.0, 9.0.numerator) + assert_equal(1.0, 1.0.denominator) + assert_equal(1.0, 9.0.denominator) + +=begin + assert_equal(Rational(1,9), 9.reciprocal) + assert_equal(Rational(1,9), 9.0.reciprocal) + assert_equal(Rational(1,9), 9.inverse) + assert_equal(Rational(1,9), 9.0.inverse) +=end + + assert_equal(Rational(1,2), 1.quo(2)) + assert_equal(Rational(5000000000), 10000000000.quo(2)) + assert_equal(0.5, 1.0.quo(2)) + assert_equal(Rational(1,4), Rational(1,2).quo(2)) + + assert_equal(0.5, 1.fdiv(2)) + assert_equal(5000000000.0, 10000000000.fdiv(2)) + assert_equal(0.5, 1.0.fdiv(2)) + assert_equal(0.25, Rational(1,2).fdiv(2)) + end + +=begin + def test_zero_div + assert_raise(ZeroDivisionError) { Rational(1, 0) } + assert_raise(ZeroDivisionError) { Rational(1, 1) / 0 } + end + + def test_gcd + assert_equal(0, Rational(0, 2**100)) + end + + def test_unify2 + f = defined?(Rational::Unify) + Rational.const_set(:Unify, true) unless f + + assert_same(42, Rational(84, 2)) + assert_same(1, Rational(1, 2) + Rational(1, 2)) + + Rational.instance_eval { remove_const(:Unify) } unless f + end + + def test_coerce + r = Rational(7, 3) + assert_equal(Rational(42, 1), r.coerce(42).first) + assert_raise(TypeError) { r.coerce(Object.new) } + + o = Object.new + def o.coerce(x); [x.numerator, x.denominator]; end + assert_equal(10, r + o) + assert_equal(4, r - o) + assert_equal(21, r * o) + assert_equal(2, r / o) + assert_equal(343, r ** o) + assert_equal(1, r <=> o) + + b = 2**100 + def b.<=>(x); 0; end rescue nil + assert_equal(1, r ** b) + b = 2**100 + def b.**(x); -1; end rescue nil + assert_equal(-1, Rational(1, b)**3) + end + + def test_modulo_remainder + assert_equal(Rational(1, 2), Rational(5, 2).modulo(1)) + assert_equal(Rational(1, 2), Rational(5, 2).modulo(2)) + assert_equal(Rational(5, 2), Rational(5, 2).modulo(3)) + assert_equal(Rational(5, 6), Rational(5, 2).modulo(Rational(5, 3))) + assert_equal(Rational(1, 2), Rational(-5, 2).modulo(1)) + assert_equal(Rational(-1, 2), Rational(5, 2).modulo(-1)) + assert_equal(Rational(-1, 2), Rational(-5, 2).modulo(-1)) + + assert_equal(Rational(1, 2), Rational(5, 2).remainder(1)) + assert_equal(Rational(1, 2), Rational(5, 2).remainder(2)) + assert_equal(Rational(5, 2), Rational(5, 2).remainder(3)) + assert_equal(Rational(5, 6), Rational(5, 2).remainder(Rational(5, 3))) + assert_equal(Rational(-1, 2), Rational(-5, 2).remainder(1)) + assert_equal(Rational(1, 2), Rational(5, 2).remainder(-1)) + assert_equal(Rational(-1, 2), Rational(-5, 2).remainder(-1)) + end + + def test_abs + assert_equal(Rational(1, 2), Rational(1, 2).abs) + assert_equal(Rational(1, 2), Rational(-1, 2).abs) + end + + def test_floor_ceil_truncate_round + assert_equal( 2, Rational( 5, 2).floor) + assert_equal(-3, Rational(-5, 2).floor) + assert_equal( 3, Rational( 5, 2).ceil) + assert_equal(-2, Rational(-5, 2).ceil) + assert_equal( 2, Rational( 5, 2).truncate) + assert_equal(-2, Rational(-5, 2).truncate) + assert_equal( 3, Rational( 5, 2).round) + assert_equal(-3, Rational(-5, 2).round) + assert_equal( 1, Rational( 4, 3).round) + assert_equal(-1, Rational(-4, 3).round) + assert_equal( 2, Rational( 5, 3).round) + assert_equal(-2, Rational(-5, 3).round) + end + + def test_convert + assert_equal(Rational(1, 2), Rational(Complex(1, 0), 2)) + assert_raise(RangeError) { Rational(Complex(1, 1), 1) } + assert_equal(Rational(1, 2), Rational(1, Complex(2, 0))) + assert_raise(RangeError) { Rational(1, Complex(2, 1)) } + assert_equal(Rational(1, 2), Rational(0.25, 0.5)) + assert_equal(Rational(1, 2), Rational('1', '2')) + end + + def test_add2 + assert_equal(Rational(2**100, 3), Rational(0, 1) + Rational(2**100, 3)) + assert_equal(Rational(2, 3**100), Rational(0, 1) + Rational(2, 3**100)) + end + + def test_div2 + assert_raise(ZeroDivisionError) { Rational(1, 1) / Rational(0, 1) } + end + + def test_to_f2 + assert_equal(1, Rational(2**5000,3).to_f.infinite?) + assert_equal(0, Rational(1, 2**5000).to_f) + end +=end + + def test_fixed_bug + if defined?(Rational::Unify) + assert_instance_of(Fixnum, Rational(1,2) ** 0) # mathn's bug + end + + n = Float::MAX.to_i * 2 + assert_equal(1.0, Rational(n + 2, n + 1).to_f, '[ruby-dev:33852]') + end + + def test_known_bug + end + +end |