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85bcd2b35f
`Rational(int, bignum).to_f` sometimes returned a wrong result because `Bignum#div` casted its divisor to double. [Bug #14637] [ruby-core:86330] git-svn-id: svn+ssh://ci.ruby-lang.org/ruby/trunk@63093 b2dd03c8-39d4-4d8f-98ff-823fe69b080e
1047 lines
28 KiB
Ruby
1047 lines
28 KiB
Ruby
# frozen_string_literal: false
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require 'test/unit'
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class RationalSub < Rational; end
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class Rational_Test < Test::Unit::TestCase
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def test_ratsub
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c = RationalSub.__send__(:convert, 1)
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assert_kind_of(Numeric, c)
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assert_instance_of(RationalSub, c)
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c2 = c + 1
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assert_instance_of(RationalSub, c2)
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c2 = c - 1
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assert_instance_of(RationalSub, c2)
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c3 = c - c2
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assert_instance_of(RationalSub, c3)
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s = Marshal.dump(c)
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c5 = Marshal.load(s)
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assert_equal(c, c5)
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assert_instance_of(RationalSub, c5)
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c1 = Rational(1)
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assert_equal(c1.hash, c.hash, '[ruby-dev:38850]')
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assert_equal([true, true], [c.eql?(c1), c1.eql?(c)])
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end
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def test_eql_p
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c = Rational(0)
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c2 = Rational(0)
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c3 = Rational(1)
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assert_operator(c, :eql?, c2)
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assert_not_operator(c, :eql?, c3)
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assert_not_operator(c, :eql?, 0)
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end
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def test_hash
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h = Rational(1,2).hash
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assert_kind_of(Integer, h)
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assert_nothing_raised {h.to_s}
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h = {}
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h[Rational(0)] = 0
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h[Rational(1,1)] = 1
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h[Rational(2,1)] = 2
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h[Rational(3,1)] = 3
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assert_equal(4, h.size)
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assert_equal(2, h[Rational(2,1)])
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h[Rational(0,1)] = 9
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assert_equal(4, h.size)
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end
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def test_freeze
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c = Rational(1)
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assert_predicate(c, :frozen?)
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assert_instance_of(String, c.to_s)
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end
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def test_conv
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c = Rational(0,1)
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assert_equal(Rational(0,1), c)
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c = Rational(2**32, 2**32)
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assert_equal(Rational(2**32,2**32), c)
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assert_equal([1,1], [c.numerator,c.denominator])
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c = Rational(-2**32, 2**32)
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assert_equal(Rational(-2**32,2**32), c)
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assert_equal([-1,1], [c.numerator,c.denominator])
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c = Rational(2**32, -2**32)
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assert_equal(Rational(2**32,-2**32), c)
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assert_equal([-1,1], [c.numerator,c.denominator])
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c = Rational(-2**32, -2**32)
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assert_equal(Rational(-2**32,-2**32), c)
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assert_equal([1,1], [c.numerator,c.denominator])
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c = Rational(Rational(1,2),2)
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assert_equal(Rational(1,4), c)
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c = Rational(2,Rational(1,2))
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assert_equal(Rational(4), c)
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c = Rational(Rational(1,2),Rational(1,2))
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assert_equal(Rational(1), c)
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c = Rational(Complex(1,2),2)
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assert_equal(Complex(Rational(1,2),1), c)
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c = Rational(2,Complex(1,2))
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assert_equal(Complex(Rational(2,5),Rational(-4,5)), c)
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c = Rational(Complex(1,2),Complex(1,2))
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assert_equal(Rational(1), c)
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assert_equal(Rational(3),Rational(3))
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assert_equal(Rational(1),Rational(3,3))
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assert_equal(3.3.to_r,Rational(3.3))
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assert_equal(1,Rational(3.3,3.3))
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assert_equal(Rational(3),Rational('3'))
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assert_equal(Rational(1),Rational('3.0','3.0'))
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assert_equal(Rational(1),Rational('3/3','3/3'))
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assert_equal(Rational(111, 1), Rational('1.11e+2'))
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assert_equal(Rational(111, 10), Rational('1.11e+1'))
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assert_equal(Rational(111, 10), Rational('1.11e1'))
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assert_equal(Rational(111, 100), Rational('1.11e0'))
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assert_equal(Rational(111, 1000), Rational('1.11e-1'))
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assert_raise(TypeError){Rational(nil)}
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assert_raise(ArgumentError){Rational('')}
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assert_raise_with_message(ArgumentError, /\u{221a 2668}/) {
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Rational("\u{221a 2668}")
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}
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assert_raise(TypeError){Rational(Object.new)}
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assert_raise(TypeError){Rational(Object.new, Object.new)}
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assert_raise(TypeError){Rational(1, Object.new)}
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o = Object.new
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def o.to_r; 1/42r; end
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assert_equal(1/42r, Rational(o))
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assert_equal(1/84r, Rational(o, 2))
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assert_equal(42, Rational(1, o))
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assert_equal(1, Rational(o, o))
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o = Object.new
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def o.to_r; nil; end
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assert_raise(TypeError) { Rational(o) }
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assert_raise(TypeError) { Rational(o, 2) }
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assert_raise(TypeError) { Rational(1, o) }
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assert_raise(TypeError) { Rational(o, o) }
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o = Object.new
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def o.to_r; raise; end
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assert_raise(RuntimeError) { Rational(o) }
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assert_raise(RuntimeError) { Rational(o, 2) }
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assert_raise(RuntimeError) { Rational(1, o) }
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assert_raise(RuntimeError) { Rational(o, o) }
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assert_raise(ArgumentError){Rational()}
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assert_raise(ArgumentError){Rational(1,2,3)}
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if (0.0/0).nan?
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assert_raise(FloatDomainError){Rational(0.0/0)}
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end
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if (1.0/0).infinite?
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assert_raise(FloatDomainError){Rational(1.0/0)}
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end
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end
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def test_attr
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c = Rational(4)
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assert_equal(4, c.numerator)
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assert_equal(1, c.denominator)
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c = Rational(4,5)
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assert_equal(4, c.numerator)
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assert_equal(5, c.denominator)
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c = Rational(4)
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assert_equal(4, c.numerator)
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assert_equal(1, c.denominator)
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c = Rational(4,5)
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assert_equal(4, c.numerator)
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assert_equal(5, c.denominator)
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c = Rational(4)
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assert_equal(4, c.numerator)
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assert_equal(1, c.denominator)
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c = Rational(4,5)
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assert_equal(4, c.numerator)
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assert_equal(5, c.denominator)
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end
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def test_attr2
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c = Rational(1)
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assert_not_predicate(c, :integer?)
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assert_predicate(c, :real?)
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assert_predicate(Rational(0), :zero?)
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assert_predicate(Rational(0,1), :zero?)
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assert_not_predicate(Rational(1,1), :zero?)
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assert_nil(Rational(0).nonzero?)
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assert_nil(Rational(0,1).nonzero?)
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assert_equal(Rational(1,1), Rational(1,1).nonzero?)
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end
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def test_uplus
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assert_equal(Rational(1), +Rational(1))
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assert_equal(Rational(-1), +Rational(-1))
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assert_equal(Rational(1,1), +Rational(1,1))
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assert_equal(Rational(-1,1), +Rational(-1,1))
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assert_equal(Rational(-1,1), +Rational(1,-1))
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assert_equal(Rational(1,1), +Rational(-1,-1))
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end
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def test_negate
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assert_equal(Rational(-1), -Rational(1))
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assert_equal(Rational(1), -Rational(-1))
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assert_equal(Rational(-1,1), -Rational(1,1))
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assert_equal(Rational(1,1), -Rational(-1,1))
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assert_equal(Rational(1,1), -Rational(1,-1))
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assert_equal(Rational(-1,1), -Rational(-1,-1))
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end
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def test_add
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c = Rational(1,2)
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c2 = Rational(2,3)
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assert_equal(Rational(7,6), c + c2)
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assert_equal(Rational(5,2), c + 2)
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assert_equal(2.5, c + 2.0)
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end
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def test_sub
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c = Rational(1,2)
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c2 = Rational(2,3)
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assert_equal(Rational(-1,6), c - c2)
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assert_equal(Rational(-3,2), c - 2)
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assert_equal(-1.5, c - 2.0)
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end
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def test_mul
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c = Rational(1,2)
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c2 = Rational(2,3)
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assert_equal(Rational(1,3), c * c2)
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assert_equal(Rational(1,1), c * 2)
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assert_equal(1.0, c * 2.0)
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end
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def test_div
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c = Rational(1,2)
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c2 = Rational(2,3)
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assert_equal(Rational(3,4), c / c2)
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assert_equal(Rational(1,4), c / 2)
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assert_equal(0.25, c / 2.0)
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assert_raise(ZeroDivisionError){Rational(1, 3) / 0}
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assert_raise(ZeroDivisionError){Rational(1, 3) / Rational(0)}
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assert_equal(0, Rational(1, 3) / Float::INFINITY)
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assert_predicate(Rational(1, 3) / 0.0, :infinite?, '[ruby-core:31626]')
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end
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def assert_eql(exp, act, *args)
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unless Array === exp
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exp = [exp]
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end
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unless Array === act
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act = [act]
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end
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exp.zip(act).each do |e, a|
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na = [e, a] + args
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assert_equal(*na)
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na = [e.class, a] + args
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assert_instance_of(*na)
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end
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end
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def test_idiv
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c = Rational(1,2)
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c2 = Rational(2,3)
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assert_eql(0, c.div(c2))
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assert_eql(0, c.div(2))
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assert_eql(0, c.div(2.0))
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c = Rational(301,100)
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c2 = Rational(7,5)
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assert_equal(2, c.div(c2))
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assert_equal(-3, c.div(-c2))
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assert_equal(-3, (-c).div(c2))
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assert_equal(2, (-c).div(-c2))
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c = Rational(301,100)
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c2 = Rational(2)
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assert_equal(1, c.div(c2))
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assert_equal(-2, c.div(-c2))
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assert_equal(-2, (-c).div(c2))
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assert_equal(1, (-c).div(-c2))
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c = Rational(11)
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c2 = Rational(3)
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assert_equal(3, c.div(c2))
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assert_equal(-4, c.div(-c2))
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assert_equal(-4, (-c).div(c2))
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assert_equal(3, (-c).div(-c2))
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end
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def test_modulo
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c = Rational(1,2)
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c2 = Rational(2,3)
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assert_eql(Rational(1,2), c.modulo(c2))
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assert_eql(Rational(1,2), c.modulo(2))
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assert_eql(0.5, c.modulo(2.0))
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c = Rational(301,100)
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c2 = Rational(7,5)
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assert_equal(Rational(21,100), c.modulo(c2))
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assert_equal(Rational(-119,100), c.modulo(-c2))
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assert_equal(Rational(119,100), (-c).modulo(c2))
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assert_equal(Rational(-21,100), (-c).modulo(-c2))
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c = Rational(301,100)
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c2 = Rational(2)
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assert_equal(Rational(101,100), c.modulo(c2))
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assert_equal(Rational(-99,100), c.modulo(-c2))
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assert_equal(Rational(99,100), (-c).modulo(c2))
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assert_equal(Rational(-101,100), (-c).modulo(-c2))
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c = Rational(11)
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c2 = Rational(3)
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assert_equal(2, c.modulo(c2))
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assert_equal(-1, c.modulo(-c2))
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assert_equal(1, (-c).modulo(c2))
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assert_equal(-2, (-c).modulo(-c2))
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end
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def test_divmod
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c = Rational(1,2)
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c2 = Rational(2,3)
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assert_eql([0, Rational(1,2)], c.divmod(c2))
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assert_eql([0, Rational(1,2)], c.divmod(2))
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assert_eql([0, 0.5], c.divmod(2.0))
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c = Rational(301,100)
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c2 = Rational(7,5)
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assert_equal([2, Rational(21,100)], c.divmod(c2))
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assert_equal([-3, Rational(-119,100)], c.divmod(-c2))
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assert_equal([-3, Rational(119,100)], (-c).divmod(c2))
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assert_equal([2, Rational(-21,100)], (-c).divmod(-c2))
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c = Rational(301,100)
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c2 = Rational(2)
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assert_equal([1, Rational(101,100)], c.divmod(c2))
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assert_equal([-2, Rational(-99,100)], c.divmod(-c2))
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assert_equal([-2, Rational(99,100)], (-c).divmod(c2))
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assert_equal([1, Rational(-101,100)], (-c).divmod(-c2))
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c = Rational(11)
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c2 = Rational(3)
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assert_equal([3,2], c.divmod(c2))
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assert_equal([-4,-1], c.divmod(-c2))
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assert_equal([-4,1], (-c).divmod(c2))
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assert_equal([3,-2], (-c).divmod(-c2))
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end
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def test_remainder
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c = Rational(1,2)
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c2 = Rational(2,3)
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assert_eql(Rational(1,2), c.remainder(c2))
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assert_eql(Rational(1,2), c.remainder(2))
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assert_eql(0.5, c.remainder(2.0))
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c = Rational(301,100)
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c2 = Rational(7,5)
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assert_equal(Rational(21,100), c.remainder(c2))
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assert_equal(Rational(21,100), c.remainder(-c2))
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assert_equal(Rational(-21,100), (-c).remainder(c2))
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assert_equal(Rational(-21,100), (-c).remainder(-c2))
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c = Rational(301,100)
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c2 = Rational(2)
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assert_equal(Rational(101,100), c.remainder(c2))
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assert_equal(Rational(101,100), c.remainder(-c2))
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assert_equal(Rational(-101,100), (-c).remainder(c2))
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assert_equal(Rational(-101,100), (-c).remainder(-c2))
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c = Rational(11)
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c2 = Rational(3)
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assert_equal(2, c.remainder(c2))
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assert_equal(2, c.remainder(-c2))
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assert_equal(-2, (-c).remainder(c2))
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assert_equal(-2, (-c).remainder(-c2))
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end
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def test_quo
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c = Rational(1,2)
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c2 = Rational(2,3)
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assert_equal(Rational(3,4), c.quo(c2))
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assert_equal(Rational(1,4), c.quo(2))
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assert_equal(0.25, c.quo(2.0))
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end
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def test_fdiv
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c = Rational(1,2)
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c2 = Rational(2,3)
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assert_equal(0.75, c.fdiv(c2))
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assert_equal(0.25, c.fdiv(2))
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assert_equal(0.25, c.fdiv(2.0))
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assert_equal(0, c.fdiv(Float::INFINITY))
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assert_predicate(c.fdiv(0), :infinite?, '[ruby-core:31626]')
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end
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def test_expt
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c = Rational(1,2)
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c2 = Rational(2,3)
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r = c ** c2
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assert_in_delta(0.6299, r, 0.001)
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assert_equal(Rational(1,4), c ** 2)
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assert_equal(Rational(4), c ** -2)
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assert_equal(Rational(1,4), (-c) ** 2)
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assert_equal(Rational(4), (-c) ** -2)
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assert_equal(0.25, c ** 2.0)
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assert_equal(4.0, c ** -2.0)
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assert_equal(Rational(1,4), c ** Rational(2))
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assert_equal(Rational(4), c ** Rational(-2))
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assert_equal(Rational(1), 0 ** Rational(0))
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assert_equal(Rational(1), Rational(0) ** 0)
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assert_equal(Rational(1), Rational(0) ** Rational(0))
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# p ** p
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x = 2 ** Rational(2)
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assert_equal(Rational(4), x)
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assert_instance_of(Rational, x)
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assert_equal(4, x.numerator)
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assert_equal(1, x.denominator)
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x = Rational(2) ** 2
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assert_equal(Rational(4), x)
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assert_instance_of(Rational, x)
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assert_equal(4, x.numerator)
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assert_equal(1, x.denominator)
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x = Rational(2) ** Rational(2)
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assert_equal(Rational(4), x)
|
|
assert_instance_of(Rational, x)
|
|
assert_equal(4, x.numerator)
|
|
assert_equal(1, x.denominator)
|
|
|
|
# -p ** p
|
|
x = (-2) ** Rational(2)
|
|
assert_equal(Rational(4), x)
|
|
assert_instance_of(Rational, x)
|
|
assert_equal(4, x.numerator)
|
|
assert_equal(1, x.denominator)
|
|
|
|
x = Rational(-2) ** 2
|
|
assert_equal(Rational(4), x)
|
|
assert_instance_of(Rational, x)
|
|
assert_equal(4, x.numerator)
|
|
assert_equal(1, x.denominator)
|
|
|
|
x = Rational(-2) ** Rational(2)
|
|
assert_equal(Rational(4), x)
|
|
assert_instance_of(Rational, x)
|
|
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)
|
|
|
|
assert_raise(ZeroDivisionError){0 ** -1}
|
|
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_not_operator(Rational(0), :<, Rational(0))
|
|
assert_operator(Rational(0), :<=, Rational(0))
|
|
assert_operator(Rational(0), :>=, Rational(0))
|
|
assert_not_operator(Rational(0), :>, Rational(0))
|
|
|
|
assert_nil(Rational(0) <=> nil)
|
|
assert_nil(Rational(0) <=> 'foo')
|
|
end
|
|
|
|
def test_eqeq
|
|
assert_equal(Rational(1,1), Rational(1))
|
|
assert_equal(Rational(-1,1), Rational(-1))
|
|
|
|
assert_not_operator(Rational(2,1), :==, Rational(1))
|
|
assert_operator(Rational(2,1), :!=, Rational(1))
|
|
assert_not_operator(Rational(1), :==, nil)
|
|
assert_not_operator(Rational(1), :==, '')
|
|
end
|
|
|
|
def test_coerce
|
|
assert_equal([Rational(2),Rational(1)], Rational(1).coerce(2))
|
|
assert_equal([Rational(2.2),Rational(1)], Rational(1).coerce(2.2))
|
|
assert_equal([Rational(2),Rational(1)], Rational(1).coerce(Rational(2)))
|
|
|
|
assert_nothing_raised(TypeError, '[Bug #5020] [ruby-dev:44088]') do
|
|
Rational(1,2).coerce(Complex(1,1))
|
|
end
|
|
end
|
|
|
|
class ObjectX
|
|
def +(x) Rational(1) end
|
|
alias - +
|
|
alias * +
|
|
alias / +
|
|
alias quo +
|
|
alias div +
|
|
alias % +
|
|
alias remainder +
|
|
alias ** +
|
|
def coerce(x) [x, Rational(1)] end
|
|
end
|
|
|
|
def test_coerce2
|
|
x = ObjectX.new
|
|
%w(+ - * / quo div % remainder **).each do |op|
|
|
assert_kind_of(Numeric, Rational(1).__send__(op, x))
|
|
end
|
|
end
|
|
|
|
def test_math
|
|
assert_equal(Rational(1,2), Rational(1,2).abs)
|
|
assert_equal(Rational(1,2), Rational(-1,2).abs)
|
|
assert_equal(Rational(1,2), Rational(1,2).magnitude)
|
|
assert_equal(Rational(1,2), Rational(-1,2).magnitude)
|
|
|
|
assert_equal(1, Rational(1,2).numerator)
|
|
assert_equal(2, Rational(1,2).denominator)
|
|
end
|
|
|
|
def test_trunc
|
|
[[Rational(13, 5), [ 2, 3, 2, 3, 3, 3, 3]], # 2.6
|
|
[Rational(5, 2), [ 2, 3, 2, 3, 2, 3, 2]], # 2.5
|
|
[Rational(12, 5), [ 2, 3, 2, 2, 2, 2, 2]], # 2.4
|
|
[Rational(-12,5), [-3, -2, -2, -2, -2, -2, -2]], # -2.4
|
|
[Rational(-5, 2), [-3, -2, -2, -3, -2, -3, -2]], # -2.5
|
|
[Rational(-13, 5), [-3, -2, -2, -3, -3, -3, -3]], # -2.6
|
|
].each do |i, a|
|
|
s = proc {i.inspect}
|
|
assert_equal(a[0], i.floor, s)
|
|
assert_equal(a[1], i.ceil, s)
|
|
assert_equal(a[2], i.truncate, s)
|
|
assert_equal(a[3], i.round, s)
|
|
assert_equal(a[4], i.round(half: :even), s)
|
|
assert_equal(a[5], i.round(half: :up), s)
|
|
assert_equal(a[6], i.round(half: :down), s)
|
|
end
|
|
end
|
|
|
|
def test_to_s
|
|
c = Rational(1,2)
|
|
|
|
assert_instance_of(String, c.to_s)
|
|
assert_equal('1/2', c.to_s)
|
|
|
|
assert_equal('0/1', Rational(0,2).to_s)
|
|
assert_equal('0/1', Rational(0,-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)
|
|
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(TypeError){
|
|
Marshal.load("\x04\bU:\rRational[\ai\x060")
|
|
}
|
|
|
|
assert_raise(ZeroDivisionError){
|
|
Marshal.load("\x04\bU:\rRational[\ai\x06i\x05")
|
|
}
|
|
|
|
bug3656 = '[ruby-core:31622]'
|
|
c = Rational(1,2)
|
|
assert_predicate(c, :frozen?)
|
|
result = c.marshal_load([2,3]) rescue :fail
|
|
assert_equal(:fail, result, bug3656)
|
|
end
|
|
|
|
def test_marshal_compatibility
|
|
bug6625 = '[ruby-core:45775]'
|
|
dump = "\x04\x08o:\x0dRational\x07:\x11@denominatori\x07:\x0f@numeratori\x06"
|
|
assert_nothing_raised(bug6625) do
|
|
assert_equal(Rational(1, 2), Marshal.load(dump), bug6625)
|
|
end
|
|
dump = "\x04\x08o:\x0dRational\x07:\x11@denominatori\x07:\x0f@numerator0"
|
|
assert_raise(TypeError) do
|
|
Marshal.load(dump)
|
|
end
|
|
end
|
|
|
|
def assert_valid_rational(n, d, r)
|
|
x = Rational(n, d)
|
|
assert_equal(x, r.to_r, "#{r.dump}.to_r")
|
|
assert_equal(x, Rational(r), "Rational(#{r.dump})")
|
|
end
|
|
|
|
def assert_invalid_rational(n, d, r)
|
|
x = Rational(n, d)
|
|
assert_equal(x, r.to_r, "#{r.dump}.to_r")
|
|
assert_raise(ArgumentError, "Rational(#{r.dump})") {Rational(r)}
|
|
end
|
|
|
|
def test_parse
|
|
ok = method(:assert_valid_rational)
|
|
ng = method(:assert_invalid_rational)
|
|
|
|
ok[ 5, 1, '5']
|
|
ok[-5, 1, '-5']
|
|
ok[ 5, 3, '5/3']
|
|
ok[-5, 3, '-5/3']
|
|
ok[ 5, 3, '5_5/33']
|
|
ok[ 5,33, '5/3_3']
|
|
ng[ 5, 1, '5__5/33']
|
|
ng[ 5, 3, '5/3__3']
|
|
|
|
ok[ 5, 1, '5.0']
|
|
ok[-5, 1, '-5.0']
|
|
ok[ 5, 3, '5.0/3']
|
|
ok[-5, 3, '-5.0/3']
|
|
ok[ 501,100, '5.0_1']
|
|
ok[ 501,300, '5.0_1/3']
|
|
ok[ 5,33, '5.0/3_3']
|
|
ng[ 5, 1, '5.0__1/3']
|
|
ng[ 5, 3, '5.0/3__3']
|
|
|
|
ok[ 5, 1, '5e0']
|
|
ok[-5, 1, '-5e0']
|
|
ok[ 5, 3, '5e0/3']
|
|
ok[-5, 3, '-5e0/3']
|
|
ok[550, 1, '5_5e1']
|
|
ng[ 5, 1, '5_e1']
|
|
|
|
ok[ 5e1, 1, '5e1']
|
|
ok[-5e2, 1, '-5e2']
|
|
ok[ 5e3, 3, '5e003/3']
|
|
ok[-5e4, 3, '-5e004/3']
|
|
ok[ 5e3, 1, '5e0_3']
|
|
ok[ 5e1,33, '5e1/3_3']
|
|
ng[ 5e0, 1, '5e0__3/3']
|
|
ng[ 5e1, 3, '5e1/3__3']
|
|
|
|
ok[ 33, 100, '.33']
|
|
ok[ 33, 100, '0.33']
|
|
ok[-33, 100, '-.33']
|
|
ok[-33, 100, '-0.33']
|
|
ok[-33, 100, '-0.3_3']
|
|
ng[ -3, 10, '-0.3__3']
|
|
|
|
ok[ 1, 2, '5e-1']
|
|
ok[50, 1, '5e+1']
|
|
ok[ 1, 2, '5.0e-1']
|
|
ok[50, 1, '5.0e+1']
|
|
ok[50, 1, '5e1']
|
|
ok[50, 1, '5E1']
|
|
ok[500, 1, '5e2']
|
|
ok[5000, 1, '5e3']
|
|
ok[500000000000, 1, '5e1_1']
|
|
ng[ 5, 1, '5e']
|
|
ng[ 5, 1, '5e_']
|
|
ng[ 5, 1, '5e_1']
|
|
ng[50, 1, '5e1_']
|
|
|
|
ok[ 50, 33, '5/3.3']
|
|
ok[ 5, 3, '5/3e0']
|
|
ok[ 5, 30, '5/3e1']
|
|
ng[ 5, 3, '5/3._3']
|
|
ng[ 50, 33, '5/3.3_']
|
|
ok[500,333, '5/3.3_3']
|
|
ng[ 5, 3, '5/3e']
|
|
ng[ 5, 3, '5/3_e']
|
|
ng[ 5, 3, '5/3e_']
|
|
ng[ 5, 3, '5/3e_1']
|
|
ng[ 5, 30, '5/3e1_']
|
|
ok[ 5, 300000000000, '5/3e1_1']
|
|
|
|
ng[0, 1, '']
|
|
ng[0, 1, ' ']
|
|
ng[5, 1, "\f\n\r\t\v5\0"]
|
|
ng[0, 1, '_']
|
|
ng[0, 1, '_5']
|
|
ng[5, 1, '5_']
|
|
ng[5, 1, '5x']
|
|
ng[5, 1, '5/_3']
|
|
ng[5, 3, '5/3_']
|
|
ng[5, 3, '5/3x']
|
|
end
|
|
|
|
def test_parse_zero_denominator
|
|
assert_raise(ZeroDivisionError) {"1/0".to_r}
|
|
assert_raise(ZeroDivisionError) {Rational("1/0")}
|
|
end
|
|
|
|
def test_Rational_without_exception
|
|
assert_nothing_raised(ArgumentError) {
|
|
assert_equal(nil, Rational("5/3x", exception: false))
|
|
}
|
|
assert_nothing_raised(ZeroDivisionError) {
|
|
assert_equal(nil, Rational("1/0", exception: false))
|
|
}
|
|
assert_nothing_raised(TypeError) {
|
|
assert_equal(nil, Rational(Object.new, exception: false))
|
|
}
|
|
assert_nothing_raised(TypeError) {
|
|
assert_equal(nil, Rational(1, Object.new, exception: false))
|
|
}
|
|
|
|
o = Object.new;
|
|
def o.to_r; raise; end
|
|
assert_nothing_raised(RuntimeError) {
|
|
assert_equal(nil, Rational(o, exception: false))
|
|
}
|
|
assert_nothing_raised(TypeError) {
|
|
assert_equal(nil, Rational(1, o, exception: false))
|
|
}
|
|
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)))
|
|
assert_equal(1e-23, Rational(1, 10**23).to_f, "Bug #14637")
|
|
end
|
|
|
|
def test_to_c
|
|
assert_equal(Complex(Rational(3,2)), Rational(3,2).to_c)
|
|
assert_equal(Complex(Rational(3,2)), Complex(Rational(3,2)))
|
|
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])
|
|
|
|
assert_raise(RangeError){Complex(1,2).to_r}
|
|
|
|
if (0.0/0).nan?
|
|
assert_raise(FloatDomainError){(0.0/0).to_r}
|
|
end
|
|
if (1.0/0).infinite?
|
|
assert_raise(FloatDomainError){(1.0/0).to_r}
|
|
end
|
|
end
|
|
|
|
def test_rationalize
|
|
c = nil.rationalize
|
|
assert_equal([0,1], [c.numerator, c.denominator])
|
|
|
|
c = 0.rationalize
|
|
assert_equal([0,1], [c.numerator, c.denominator])
|
|
|
|
c = 1.rationalize
|
|
assert_equal([1,1], [c.numerator, c.denominator])
|
|
|
|
c = 1.1.rationalize
|
|
assert_equal([11, 10], [c.numerator, c.denominator])
|
|
|
|
c = Rational(1,2).rationalize
|
|
assert_equal([1,2], [c.numerator, c.denominator])
|
|
|
|
assert_equal(nil.rationalize(Rational(1,10)), Rational(0))
|
|
assert_equal(0.rationalize(Rational(1,10)), Rational(0))
|
|
assert_equal(10.rationalize(Rational(1,10)), Rational(10))
|
|
|
|
r = 0.3333
|
|
assert_equal(r.rationalize, Rational(3333, 10000))
|
|
assert_equal(r.rationalize(Rational(1,10)), Rational(1,3))
|
|
assert_equal(r.rationalize(Rational(-1,10)), Rational(1,3))
|
|
|
|
r = Rational(5404319552844595,18014398509481984)
|
|
assert_equal(r.rationalize, r)
|
|
assert_equal(r.rationalize(Rational(1,10)), Rational(1,3))
|
|
assert_equal(r.rationalize(Rational(-1,10)), Rational(1,3))
|
|
|
|
r = -0.3333
|
|
assert_equal(r.rationalize, Rational(-3333, 10000))
|
|
assert_equal(r.rationalize(Rational(1,10)), Rational(-1,3))
|
|
assert_equal(r.rationalize(Rational(-1,10)), Rational(-1,3))
|
|
|
|
r = Rational(-5404319552844595,18014398509481984)
|
|
assert_equal(r.rationalize, r)
|
|
assert_equal(r.rationalize(Rational(1,10)), Rational(-1,3))
|
|
assert_equal(r.rationalize(Rational(-1,10)), Rational(-1,3))
|
|
|
|
assert_raise(RangeError){Complex(1,2).rationalize}
|
|
|
|
if (0.0/0).nan?
|
|
assert_raise(FloatDomainError){(0.0/0).rationalize}
|
|
end
|
|
if (1.0/0).infinite?
|
|
assert_raise(FloatDomainError){(1.0/0).rationalize}
|
|
end
|
|
end
|
|
|
|
def test_gcdlcm
|
|
assert_equal(7, 91.gcd(-49))
|
|
assert_equal(5, 5.gcd(0))
|
|
assert_equal(5, 0.gcd(5))
|
|
assert_equal(70, 14.lcm(35))
|
|
assert_equal(0, 5.lcm(0))
|
|
assert_equal(0, 0.lcm(5))
|
|
assert_equal([5,0], 0.gcdlcm(5))
|
|
assert_equal([5,0], 5.gcdlcm(0))
|
|
|
|
assert_equal(1, 1073741827.gcd(1073741789))
|
|
assert_equal(1152921470247108503, 1073741827.lcm(1073741789))
|
|
|
|
assert_equal(1, 1073741789.gcd(1073741827))
|
|
assert_equal(1152921470247108503, 1073741789.lcm(1073741827))
|
|
end
|
|
|
|
def test_gcd_no_memory_leak
|
|
assert_no_memory_leak([], "#{<<-"begin;"}", "#{<<-"end;"}", limit: 1.2, rss: true)
|
|
x = (1<<121) + 1
|
|
y = (1<<99) + 1
|
|
1000.times{x.gcd(y)}
|
|
begin;
|
|
100.times {1000.times{x.gcd(y)}}
|
|
end;
|
|
end
|
|
|
|
def test_supp
|
|
assert_predicate(1, :real?)
|
|
assert_predicate(1.1, :real?)
|
|
|
|
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)
|
|
|
|
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, Rational(1,2).quo(Float::INFINITY))
|
|
assert_predicate(Rational(1,2).quo(0.0), :infinite?, '[ruby-core:31626]')
|
|
|
|
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))
|
|
|
|
a = 0xa42fcabf_c51ce400_00001000_00000000_00000000_00000000_00000000_00000000
|
|
b = 1<<1074
|
|
assert_equal(Rational(a, b).to_f, a.fdiv(b))
|
|
a = 3
|
|
b = 0x20_0000_0000_0001
|
|
assert_equal(Rational(a, b).to_f, a.fdiv(b))
|
|
end
|
|
|
|
def test_ruby19
|
|
assert_raise(NoMethodError){ Rational.new(1) }
|
|
assert_raise(NoMethodError){ Rational.new!(1) }
|
|
end
|
|
|
|
def test_fixed_bug
|
|
n = Float::MAX.to_i * 2
|
|
x = EnvUtil.suppress_warning {Rational(n + 2, n + 1).to_f}
|
|
assert_equal(1.0, x, '[ruby-dev:33852]')
|
|
end
|
|
|
|
def test_power_of_1_and_minus_1
|
|
bug5715 = '[ruby-core:41498]'
|
|
big = 1 << 66
|
|
one = Rational( 1, 1)
|
|
assert_eql one, one ** -big , bug5715
|
|
assert_eql one, (-one) ** -big , bug5715
|
|
assert_eql (-one), (-one) ** -(big+1) , bug5715
|
|
assert_equal Complex, ((-one) ** Rational(1,3)).class
|
|
end
|
|
|
|
def test_power_of_0
|
|
bug5713 = '[ruby-core:41494]'
|
|
big = 1 << 66
|
|
zero = Rational(0, 1)
|
|
assert_eql zero, zero ** big
|
|
assert_eql zero, zero ** Rational(2, 3)
|
|
assert_raise(ZeroDivisionError, bug5713) { Rational(0, 1) ** -big }
|
|
assert_raise(ZeroDivisionError, bug5713) { Rational(0, 1) ** Rational(-2,3) }
|
|
end
|
|
|
|
def test_power_overflow
|
|
bug = '[ruby-core:79686] [Bug #13242]: Infinity due to overflow'
|
|
x = EnvUtil.suppress_warning {4r**40000000}
|
|
assert_predicate x, :infinite?, bug
|
|
x = EnvUtil.suppress_warning {(1/4r)**40000000}
|
|
assert_equal 0, x, bug
|
|
end
|
|
|
|
def test_positive_p
|
|
assert_predicate(1/2r, :positive?)
|
|
assert_not_predicate(-1/2r, :positive?)
|
|
end
|
|
|
|
def test_negative_p
|
|
assert_predicate(-1/2r, :negative?)
|
|
assert_not_predicate(1/2r, :negative?)
|
|
end
|
|
|
|
def test_known_bug
|
|
end
|
|
|
|
def test_finite_p
|
|
assert_predicate(1/2r, :finite?)
|
|
assert_predicate(-1/2r, :finite?)
|
|
end
|
|
|
|
def test_infinite_p
|
|
assert_nil((1/2r).infinite?)
|
|
assert_nil((-1/2r).infinite?)
|
|
end
|
|
end
|