diff options
Diffstat (limited to 'test')
| -rw-r--r-- | test/ruby/test_complex.rb | 1017 | ||||
| -rw-r--r-- | test/ruby/test_rational.rb | 971 |
2 files changed, 1988 insertions, 0 deletions
diff --git a/test/ruby/test_complex.rb b/test/ruby/test_complex.rb new file mode 100644 index 0000000000..48441d0dbd --- /dev/null +++ b/test/ruby/test_complex.rb @@ -0,0 +1,1017 @@ +require 'test/unit' + +class ComplexSub < Complex; end + +class Complex_Test < Test::Unit::TestCase + + def test_sub + c = ComplexSub.__send__(:new, 1) + cc = ComplexSub.__send__(:convert, 1) + if defined?(ComplexSub::Unify) + assert_instance_of(Fixnum, c) + assert_instance_of(Fixnum, cc) + else + assert_instance_of(ComplexSub, c) + assert_instance_of(ComplexSub, cc) + + c2 = c + 1 + assert_instance_of(ComplexSub, c2) + c2 = c - 1 + assert_instance_of(ComplexSub, c2) + + c3 = c - c2 + assert_instance_of(ComplexSub, c3) + + s = Marshal.dump(c) + c5 = Marshal.load(s) + assert_equal(c, c5) + assert_instance_of(ComplexSub, c5) + end + + end + + def test_eql_p + c = Complex(0) + c2 = Complex(0) + c3 = Complex(1) + + assert_equal(true, c.eql?(c2)) + assert_equal(false, c.eql?(c3)) + + if defined?(Complex::Unify) + assert_equal(true, c.eql?(0)) + else + assert_equal(false, c.eql?(0)) + end + end + + def test_hash + assert_instance_of(Fixnum, Complex(1,2).hash) + + h = {} + h[Complex(0)] = 0 + h[Complex(0,1)] = 1 + h[Complex(1,0)] = 2 + h[Complex(1,1)] = 3 + + assert_equal(4, h.size) + assert_equal(2, h[Complex(1,0)]) + + h[Complex(0,0)] = 9 + assert_equal(4, h.size) + end + + def test_freeze + c = Complex(1) + c.freeze + unless defined?(Complex::Unify) + assert_equal(true, c.frozen?) + end + assert_instance_of(String, c.to_s) + end + + def test_new_bang # no unify + assert_instance_of(Complex, Complex.__send__(:new!, 2,0)) + assert_equal([2,0], Complex.__send__(:new!, 2,0). + instance_eval{[real, image]}) + assert_equal([2,4], Complex.__send__(:new!, 2,4). + instance_eval{[real, image]}) + assert_equal([-2,4], Complex.__send__(:new!, -2,4). + instance_eval{[real, image]}) + assert_equal([2,-4], Complex.__send__(:new!, 2,-4). + instance_eval{[real, image]}) + assert_equal([-2,-4], Complex.__send__(:new!, -2,-4). + instance_eval{[real, image]}) + + assert_equal([2,0], Complex.__send__(:new!, Complex(2)). + instance_eval{[real, image]}) + assert_equal([2,3], Complex.__send__(:new!, Complex(2), Complex(3)). + instance_eval{[real, image]}) + assert_equal([2,3], Complex.__send__(:new!, 2, Complex(3)). + instance_eval{[real, image]}) + + assert_equal([1.1,0], Complex.__send__(:new!, 1.1). + instance_eval{[real, image]}) + assert_equal([-1.1,0], Complex.__send__(:new!, -1.1). + instance_eval{[real, image]}) + assert_equal([1,0], Complex.__send__(:new!, '1'). + instance_eval{[real, image]}) + assert_equal([0,0], Complex.__send__(:new!, nil). + instance_eval{[real, image]}) + end + + def test_new + if defined?(Complex::Unify) + assert_instance_of(Fixnum, Complex.__send__(:new, 2,0)) + else + assert_instance_of(Complex, Complex.__send__(:new, 2,0)) + assert_equal([2,0], Complex.__send__(:new, 2,0). instance_eval{[real, image]}) + end + assert_equal([2,4], Complex.__send__(:new, 2,4).instance_eval{[real, image]}) + assert_equal([-2,4], Complex.__send__(:new, -2,4).instance_eval{[real, image]}) + assert_equal([2,-4], Complex.__send__(:new, 2,-4).instance_eval{[real, image]}) + assert_equal([-2,-4], Complex.__send__(:new, -2,-4).instance_eval{[real, image]}) + + assert_raise(ArgumentError){Complex.__send__(:new, Complex(1,2),2)} + assert_raise(ArgumentError){Complex.__send__(:new, 2,Complex(1,2))} + assert_raise(ArgumentError){Complex.__send__(:new, Complex(1,2),Complex(1,2))} + + assert_raise(ArgumentError){Complex.__send__(:new, '1')} + assert_raise(ArgumentError){Complex.__send__(:new, nil)} +=begin + assert_raise(ArgumentError){Complex.__send__(:new, Complex(1))} +=end + end + + def test_conv + c = Complex(0,0) + assert_equal(Complex.__send__(:new, 0,0), c) + + c = Complex(2**32, 2**32) + assert_equal(Complex.__send__(:new, 2**32,2**32), c) + assert_equal([2**32,2**32], [c.real,c.image]) + + c = Complex(-2**32, 2**32) + assert_equal(Complex.__send__(:new, -2**32,2**32), c) + assert_equal([-2**32,2**32], [c.real,c.image]) + + c = Complex(2**32, -2**32) + assert_equal(Complex.__send__(:new, 2**32,-2**32), c) + assert_equal([2**32,-2**32], [c.real,c.image]) + + c = Complex(-2**32, -2**32) + assert_equal(Complex.__send__(:new, -2**32,-2**32), c) + assert_equal([-2**32,-2**32], [c.real,c.image]) + + c = Complex(Complex(1),0) + assert_equal(Complex.__send__(:new, 1,0), c) + + c = Complex(0,Complex(1)) + assert_equal(Complex.__send__(:new, 0,1), c) + + c = 5.re + assert_equal(Complex.__send__(:new, 5,0), c) + + c = Complex(1,2).re + assert_equal(Complex.__send__(:new, 1,2), c) + + c = 5.im + assert_equal(Complex.__send__(:new, 0,5), c) + + c = Complex(2,0).im + assert_equal(Complex.__send__(:new, 0,2), c) + assert_raise(ArgumentError){Complex(1,2).im} + + c = Complex::I + assert_equal(Complex.__send__(:new, 0,1), c) + + assert_equal(Complex.__send__(:new, 1),Complex(1)) + assert_equal(Complex.__send__(:new, 1),Complex('1')) + assert_raise(ArgumentError){Complex(nil)} + end + + def test_attr + c = Complex(4) + + assert_equal(4, c.real) + assert_equal(0, c.image) + + c = Complex(4,5) + + assert_equal(4, c.real) + assert_equal(5, c.image) + + c = Complex(-0.0,-0.0) + + assert_equal('-0.0', c.real.to_s) + assert_equal('-0.0', c.image.to_s) + + c = Complex.__send__(:new, 4) + + assert_equal(4, c.real) + assert_equal(0, c.image) + assert_equal(c.imag, c.image) + + c = Complex.__send__(:new, 4,5) + + assert_equal(4, c.real) + assert_equal(5, c.image) + assert_equal(c.imag, c.image) + + c = Complex.__send__(:new, -0.0,-0.0) + + assert_equal('-0.0', c.real.to_s) + assert_equal('-0.0', c.image.to_s) + assert_equal(c.imag.to_s, c.image.to_s) + + c = Complex.__send__(:new!, 4) + + assert_equal(4, c.real) + assert_equal(c.imag, c.image) + assert_equal(0, c.image) + + c = Complex.__send__(:new!, 4,5) + + assert_equal(4, c.real) + assert_equal(5, c.image) + assert_equal(c.imag, c.image) + + c = Complex.__send__(:new!, -0.0,-0.0) + + assert_equal('-0.0', c.real.to_s) + assert_equal('-0.0', c.image.to_s) + assert_equal(c.imag.to_s, c.image.to_s) + end + + def test_attr2 + c = Complex(1) + + if defined?(Complex::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(false, 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(false, c.rational?) + assert_equal(false, c.real?) + assert_equal(true, c.complex?) + assert_equal(true, c.exact?) + assert_equal(false, c.inexact?) +=end + end + +=begin + assert_equal(0, Complex(0).sign) + assert_equal(1, Complex(2).sign) + assert_equal(-1, Complex(-2).sign) +=end + + assert_equal(true, Complex(0).zero?) + assert_equal(true, Complex(0,0).zero?) + assert_equal(false, Complex(1,0).zero?) + assert_equal(false, Complex(0,1).zero?) + assert_equal(false, Complex(1,1).zero?) + + assert_equal(nil, Complex(0).nonzero?) + assert_equal(nil, Complex(0,0).nonzero?) + assert_equal(Complex(1,0), Complex(1,0).nonzero?) + assert_equal(Complex(0,1), Complex(0,1).nonzero?) + assert_equal(Complex(1,1), Complex(1,1).nonzero?) + end + + def test_uplus + assert_equal(Complex(1), +Complex(1)) + assert_equal(Complex(-1), +Complex(-1)) + assert_equal(Complex(1,1), +Complex(1,1)) + assert_equal(Complex(-1,1), +Complex(-1,1)) + assert_equal(Complex(1,-1), +Complex(1,-1)) + assert_equal(Complex(-1,-1), +Complex(-1,-1)) + end + + def test_negate + assert_equal(Complex(-1), -Complex(1)) + assert_equal(Complex(1), -Complex(-1)) + assert_equal(Complex(-1,-1), -Complex(1,1)) + assert_equal(Complex(1,-1), -Complex(-1,1)) + assert_equal(Complex(-1,1), -Complex(1,-1)) + assert_equal(Complex(1,1), -Complex(-1,-1)) + +=begin + assert_equal(0, Complex(0).negate) + assert_equal(-2, Complex(2).negate) + assert_equal(2, Complex(-2).negate) +=end + end + + def test_add + c = Complex(1,2) + c2 = Complex(2,3) + + assert_equal(Complex(3,5), c + c2) + + assert_equal(Complex(3,2), c + 2) + assert_equal(Complex(3.0,2), c + 2.0) + + if defined?(Rational) + assert_equal(Complex(Rational(3,1),Rational(2)), c + Rational(2)) + assert_equal(Complex(Rational(5,3),Rational(2)), c + Rational(2,3)) + end + end + + def test_sub + c = Complex(1,2) + c2 = Complex(2,3) + + assert_equal(Complex(-1,-1), c - c2) + + assert_equal(Complex(-1,2), c - 2) + assert_equal(Complex(-1.0,2), c - 2.0) + + if defined?(Rational) + assert_equal(Complex(Rational(-1,1),Rational(2)), c - Rational(2)) + assert_equal(Complex(Rational(1,3),Rational(2)), c - Rational(2,3)) + end + end + + def test_mul + c = Complex(1,2) + c2 = Complex(2,3) + + assert_equal(Complex(-4,7), c * c2) + + assert_equal(Complex(2,4), c * 2) + assert_equal(Complex(2.0,4.0), c * 2.0) + + if defined?(Rational) + assert_equal(Complex(Rational(2,1),Rational(4)), c * Rational(2)) + assert_equal(Complex(Rational(2,3),Rational(4,3)), c * Rational(2,3)) + end + + end + + def test_div + c = Complex(1,2) + c2 = Complex(2,3) + + if defined?(Complex::Unify) + assert_equal(Complex(Rational(8,13),Rational(1,13)), c / c2) + else + assert_equal(Complex(0,0), c / c2) + end + + c = Complex(1.0,2.0) + c2 = Complex(2.0,3.0) + + r = c / c2 + assert_in_delta(0.615, r.real, 0.001) + assert_in_delta(0.076, r.image, 0.001) + + c = Complex(1,2) + c2 = Complex(2,3) + + if defined?(Complex::Unify) + assert_equal(Complex(Rational(1,2),1), c / 2) + else + assert_equal(Complex(0,1), c / 2) + end + assert_equal(Complex(0.5,1.0), c / 2.0) + + if defined?(Rational) + assert_equal(Complex(Rational(1,2),Rational(1)), c / Rational(2)) + assert_equal(Complex(Rational(3,2),Rational(3)), c / Rational(2,3)) + end + end + + def test_quo + c = Complex(1,2) + c2 = Complex(2,3) + + if defined?(Rational) + assert_equal(Complex(Rational(8,13),Rational(1,13)), c.quo(c2)) + else + r = c.quo(c2) + assert_in_delta(0.615, r.real, 0.001) + assert_in_delta(0.076, r.image, 0.001) + end + + c = Complex(1.0,2.0) + c2 = Complex(2.0,3.0) + + r = c.quo(c2) + assert_in_delta(0.615, r.real, 0.001) + assert_in_delta(0.076, r.image, 0.001) + + c = Complex(1,2) + c2 = Complex(2,3) + + if defined?(Rational) + assert_equal(Complex(Rational(1,2),1), c.quo(2)) + else + assert_equal(Complex(0.5,1.0), c.quo(2)) + end + assert_equal(Complex(0.5,1.0), c.quo(2.0)) + + if defined?(Rational) + assert_equal(Complex(Rational(1,2),Rational(1)), c / Rational(2)) + assert_equal(Complex(Rational(3,2),Rational(3)), c / Rational(2,3)) + end + end + + def test_rdiv + if defined?(Rational) && !Rational.instance_variable_get('@RCS_ID') + c = Complex(1,2) + c2 = Complex(2,3) + + assert_equal(Complex(Rational(8,13),Rational(1,13)), c.rdiv(c2)) + + c = Complex(1.0,2.0) + c2 = Complex(2.0,3.0) + + r = c.rdiv(c2) + assert_in_delta(0.615, r.real, 0.001) + assert_in_delta(0.076, r.image, 0.001) + + c = Complex(1,2) + c2 = Complex(2,3) + + assert_equal(Complex(Rational(1,2),1), c.rdiv(2)) + + assert_equal(Complex(Rational(1,2),Rational(1)), c / Rational(2)) + assert_equal(Complex(Rational(3,2),Rational(3)), c / Rational(2,3)) + end + end + + def test_fdiv + c = Complex(1,2) + c2 = Complex(2,3) + + r = c.fdiv(c2) + assert_in_delta(0.615, r.real, 0.001) + assert_in_delta(0.076, r.image, 0.001) + + c = Complex(1.0,2.0) + c2 = Complex(2.0,3.0) + + r = c.fdiv(c2) + assert_in_delta(0.615, r.real, 0.001) + assert_in_delta(0.076, r.image, 0.001) + + c = Complex(1,2) + c2 = Complex(2,3) + + assert_equal(Complex(0.5,1.0), c.fdiv(2)) + assert_equal(Complex(0.5,1.0), c.fdiv(2.0)) + end + + def test_expt + c = Complex(1,2) + c2 = Complex(2,3) + + r = c ** c2 + assert_in_delta(-0.015, r.real, 0.001) + assert_in_delta(-0.179, r.image, 0.001) + + assert_equal(Complex(-3,4), c ** 2) + if defined?(Rational) && !Rational.instance_variable_get('@RCS_ID') + assert_equal(Complex(Rational(-3,25),Rational(-4,25)), c ** -2) + else + r = c ** -2 + assert_in_delta(-0.12, r.real, 0.001) + assert_in_delta(-0.16, r.image, 0.001) + end + r = c ** 2.0 + assert_in_delta(-3.0, r.real, 0.001) + assert_in_delta(4.0, r.image, 0.001) + + r = c ** -2.0 + assert_in_delta(-0.12, r.real, 0.001) + assert_in_delta(-0.16, r.image, 0.001) + + if defined?(Rational) && !Rational.instance_variable_get('@RCS_ID') + assert_equal(Complex(-3,4), c ** Rational(2)) +#=begin + assert_equal(Complex(Rational(-3,25),Rational(-4,25)), + c ** Rational(-2)) # why failed? +#=end + + r = c ** Rational(2,3) + assert_in_delta(1.264, r.real, 0.001) + assert_in_delta(1.150, r.image, 0.001) + + r = c ** Rational(-2,3) + assert_in_delta(0.432, r.real, 0.001) + assert_in_delta(-0.393, r.image, 0.001) + end + end + + def test_cmp + assert_raise(NoMethodError){1 <=> Complex(1,1)} + assert_raise(NoMethodError){Complex(1,1) <=> 1} + assert_raise(NoMethodError){Complex(1,1) <=> Complex(1,1)} + end + + def test_equal + assert(Complex(1,0) == Complex(1)) + assert(Complex(1,0) == Complex.__send__(:new, 1)) + assert(Complex(1,0) == Complex.__send__(:new, 1,0)) + assert(Complex(1,0) == Complex.__send__(:new!, 1)) + assert(Complex(1,0) == Complex.__send__(:new!, 1,0)) + + assert(Complex(-1,0) == Complex(-1)) + assert(Complex(-1,0) == Complex.__send__(:new, -1)) + assert(Complex(-1,0) == Complex.__send__(:new, -1,0)) + assert(Complex(-1,0) == Complex.__send__(:new!, -1)) + assert(Complex(-1,0) == Complex.__send__(:new!, -1,0)) + + assert_equal(false, Complex(2,1) == Complex(1)) + assert_equal(true, Complex(2,1) != Complex(1)) + assert_equal(false, Complex(1) == nil) + assert_equal(false, Complex(1) == '') + end + + def test_math + c = Complex(1,2) + + assert_in_delta(2.236, c.abs, 0.001) + assert_equal(5, c.abs2) + + assert_equal(c.abs, Math.sqrt(c * c.conj)) + assert_equal(c.abs, Math.sqrt(c.real**2 + c.image**2)) + assert_equal(c.abs2, c * c.conj) + assert_equal(c.abs2, c.real**2 + c.image**2) + + assert_in_delta(1.107, c.arg, 0.001) + assert_in_delta(1.107, c.angle, 0.001) + + r = c.polar + assert_in_delta(2.236, r[0], 0.001) + assert_in_delta(1.107, r[1], 0.001) + assert_equal(Complex(1,-2), c.conjugate) + assert_equal(Complex(1,-2), c.conj) +# assert_equal(Complex(1,-2), ~c) +# assert_equal(5, c * ~c) + + assert_equal(Complex(1,2), c.numerator) + assert_equal(1, c.denominator) + end + + def test_to_s + c = Complex(1,2) + + assert_instance_of(String, c.to_s) + assert_equal('1+2i', c.to_s) + + assert_equal('2i', Complex(0,2).to_s) + assert_equal('-2i', Complex(0,-2).to_s) + assert_equal('1+2i', Complex(1,2).to_s) + assert_equal('-1+2i', Complex(-1,2).to_s) + assert_equal('-1-2i', Complex(-1,-2).to_s) + assert_equal('1-2i', Complex(1,-2).to_s) + assert_equal('-1-2i', Complex(-1,-2).to_s) + + assert_equal('2.0i', Complex(0,2.0).to_s) + assert_equal('-2.0i', Complex(0,-2.0).to_s) + assert_equal('1.0+2.0i', Complex(1.0,2.0).to_s) + assert_equal('-1.0+2.0i', Complex(-1.0,2.0).to_s) + assert_equal('-1.0-2.0i', Complex(-1.0,-2.0).to_s) + assert_equal('1.0-2.0i', Complex(1.0,-2.0).to_s) + assert_equal('-1.0-2.0i', Complex(-1.0,-2.0).to_s) + + if defined?(Rational) + assert_equal('2i', Complex(0,Rational(2)).to_s) + assert_equal('-2i', Complex(0,Rational(-2)).to_s) + assert_equal('1+2i', Complex(1,Rational(2)).to_s) + assert_equal('-1+2i', Complex(-1,Rational(2)).to_s) + assert_equal('-1-2i', Complex(-1,Rational(-2)).to_s) + assert_equal('1-2i', Complex(1,Rational(-2)).to_s) + assert_equal('-1-2i', Complex(-1,Rational(-2)).to_s) + + assert_equal('(2/3)i', Complex(0,Rational(2,3)).to_s) + assert_equal('(-2/3)i', Complex(0,Rational(-2,3)).to_s) + assert_equal('1+(2/3)i', Complex(1,Rational(2,3)).to_s) + assert_equal('-1+(2/3)i', Complex(-1,Rational(2,3)).to_s) + assert_equal('-1-(2/3)i', Complex(-1,Rational(-2,3)).to_s) + assert_equal('1-(2/3)i', Complex(1,Rational(-2,3)).to_s) + assert_equal('-1-(2/3)i', Complex(-1,Rational(-2,3)).to_s) + end + end + + def test_inspect + c = Complex(1,2) + + assert_instance_of(String, c.inspect) + assert_equal('Complex(1, 2)', c.inspect) + end + + def test_marshal + c = Complex(1,2) + + s = Marshal.dump(c) + c2 = Marshal.load(s) + assert_equal(c, c2) + assert_instance_of(Complex, c2) + + if defined?(Rational) + c = Complex(Rational(1,2),Rational(2,3)) + + s = Marshal.dump(c) + c2 = Marshal.load(s) + assert_equal(c, c2) + assert_instance_of(Complex, c2) + end + end + + def test_parse + assert_equal(Complex(0), ''.to_c) + assert_equal(Complex(0), ' '.to_c) + assert_equal(Complex(5), '5'.to_c) + assert_equal(Complex(-5), '-5'.to_c) + assert_equal(Complex(5,3), '5+3i'.to_c) + assert_equal(Complex(-5,3), '-5+3i'.to_c) + assert_equal(Complex(5,-3), '5-3i'.to_c) + assert_equal(Complex(-5,-3), '-5-3i'.to_c) + assert_equal(Complex(0,3), '3i'.to_c) + assert_equal(Complex(0,-3), '-3i'.to_c) + + assert_equal(Complex(5,3), '5+3I'.to_c) + assert_equal(Complex(5,3), '5+3j'.to_c) + assert_equal(Complex(5,3), '5+3J'.to_c) + assert_equal(Complex(0,3), '3I'.to_c) + assert_equal(Complex(0,3), '3j'.to_c) + assert_equal(Complex(0,3), '3J'.to_c) + + assert_equal(Complex(5.0), '5.0'.to_c) + assert_equal(Complex(-5.0), '-5.0'.to_c) + assert_equal(Complex(5.0,3.0), '5.0+3.0i'.to_c) + assert_equal(Complex(-5.0,3.0), '-5.0+3.0i'.to_c) + assert_equal(Complex(5.0,-3.0), '5.0-3.0i'.to_c) + assert_equal(Complex(-5.0,-3.0), '-5.0-3.0i'.to_c) + assert_equal(Complex(0.0,3.0), '3.0i'.to_c) + assert_equal(Complex(0.0,-3.0), '-3.0i'.to_c) + + assert_equal(Complex(5.0), '5e0'.to_c) + assert_equal(Complex(-5.0), '-5e0'.to_c) + assert_equal(Complex(5.0,3.0), '5e0+3e0i'.to_c) + assert_equal(Complex(-5.0,3.0), '-5e0+3e0i'.to_c) + assert_equal(Complex(5.0,-3.0), '5e0-3e0i'.to_c) + assert_equal(Complex(-5.0,-3.0), '-5e0-3e0i'.to_c) + assert_equal(Complex(0.0,3.0), '3e0i'.to_c) + assert_equal(Complex(0.0,-3.0), '-3e0i'.to_c) + + assert_equal(Complex(5), Complex('5')) + assert_equal(Complex(-5), Complex('-5')) + assert_equal(Complex(5,3), Complex('5+3i')) + assert_equal(Complex(-5,3), Complex('-5+3i')) + assert_equal(Complex(5,-3), Complex('5-3i')) + assert_equal(Complex(-5,-3), Complex('-5-3i')) + assert_equal(Complex(0,3), Complex('3i')) + assert_equal(Complex(0,-3), Complex('-3i')) + + assert_equal(Complex(5,3), Complex('5+3I')) + assert_equal(Complex(5,3), Complex('5+3j')) + assert_equal(Complex(5,3), Complex('5+3J')) + assert_equal(Complex(0,3), Complex('3I')) + assert_equal(Complex(0,3), Complex('3j')) + assert_equal(Complex(0,3), Complex('3J')) + + assert_equal(Complex(5.0), Complex('5.0')) + assert_equal(Complex(-5.0), Complex('-5.0')) + assert_equal(Complex(5.0,3.0), Complex('5.0+3.0i')) + assert_equal(Complex(-5.0,3.0), Complex('-5.0+3.0i')) + assert_equal(Complex(5.0,-3.0), Complex('5.0-3.0i')) + assert_equal(Complex(-5.0,-3.0), Complex('-5.0-3.0i')) + assert_equal(Complex(0.0,3.0), Complex('3.0i')) + assert_equal(Complex(0.0,-3.0), Complex('-3.0i')) + + assert_equal(Complex(5.0), Complex('5e0')) + assert_equal(Complex(-5.0), Complex('-5e0')) + assert_equal(Complex(5.0,3.0), Complex('5e0+3e0i')) + assert_equal(Complex(-5.0,3.0), Complex('-5e0+3e0i')) + assert_equal(Complex(5.0,-3.0), Complex('5e0-3e0i')) + assert_equal(Complex(-5.0,-3.0), Complex('-5e0-3e0i')) + assert_equal(Complex(0.0,3.0), Complex('3e0i')) + assert_equal(Complex(0.0,-3.0), Complex('-3e0i')) + + assert_equal(Complex(0), '_'.to_c) + assert_equal(Complex(0), '_5'.to_c) + assert_equal(Complex(5), '5_'.to_c) + assert_equal(Complex(5), '5x'.to_c) + assert_equal(Complex(5), '5+_3i'.to_c) + assert_equal(Complex(5), '5+3_i'.to_c) + assert_equal(Complex(5,3), '5+3i_'.to_c) + assert_equal(Complex(5,3), '5+3ix'.to_c) + assert_raise(ArgumentError){ Complex('')} + assert_raise(ArgumentError){ Complex('_')} + assert_raise(ArgumentError){ Complex('_5')} + assert_raise(ArgumentError){ Complex('5_')} + assert_raise(ArgumentError){ Complex('5x')} + assert_raise(ArgumentError){ Complex('5+_3i')} + assert_raise(ArgumentError){ Complex('5+3_i')} + assert_raise(ArgumentError){ Complex('5+3i_')} + assert_raise(ArgumentError){ Complex('5+3ix')} + + if defined?(Rational) && defined?(''.to_r) + assert_equal(Complex(Rational(1,5)), '1/5'.to_c) + assert_equal(Complex(Rational(-1,5)), '-1/5'.to_c) + assert_equal(Complex(Rational(1,5),3), '1/5+3i'.to_c) + assert_equal(Complex(Rational(1,5),-3), '1/5-3i'.to_c) + assert_equal(Complex(Rational(-1,5),3), '-1/5+3i'.to_c) + assert_equal(Complex(Rational(-1,5),-3), '-1/5-3i'.to_c) + assert_equal(Complex(Rational(1,5),Rational(3,2)), '1/5+3/2i'.to_c) + assert_equal(Complex(Rational(1,5),Rational(-3,2)), '1/5-3/2i'.to_c) + assert_equal(Complex(Rational(-1,5),Rational(3,2)), '-1/5+3/2i'.to_c) + assert_equal(Complex(Rational(-1,5),Rational(-3,2)), '-1/5-3/2i'.to_c) + assert_equal(Complex(Rational(1,5),Rational(3,2)), '1/5+(3/2)i'.to_c) + assert_equal(Complex(Rational(1,5),Rational(-3,2)), '1/5-(3/2)i'.to_c) + assert_equal(Complex(Rational(-1,5),Rational(3,2)), '-1/5+(3/2)i'.to_c) + assert_equal(Complex(Rational(-1,5),Rational(-3,2)), '-1/5-(3/2)i'.to_c) + end + + end + + def test_respond + c = Complex(1,1) + assert_equal(false, c.respond_to?(:<)) + assert_equal(false, c.respond_to?(:<=)) + assert_equal(false, c.respond_to?(:<=>)) + assert_equal(false, c.respond_to?(:>)) + assert_equal(false, c.respond_to?(:>=)) + assert_equal(false, c.respond_to?(:between?)) +# assert_equal(false, c.respond_to?(:div)) # ? + assert_equal(false, c.respond_to?(:divmod)) + assert_equal(false, c.respond_to?(:floor)) + assert_equal(false, c.respond_to?(:ceil)) + assert_equal(false, c.respond_to?(:modulo)) + assert_equal(false, c.respond_to?(:round)) + assert_equal(false, c.respond_to?(:step)) + assert_equal(false, c.respond_to?(:tunrcate)) + + assert_equal(false, c.respond_to?(:positive?)) + assert_equal(false, c.respond_to?(:negative?)) +# assert_equal(false, c.respond_to?(:sign)) + + assert_equal(false, c.respond_to?(:quotient)) + assert_equal(false, c.respond_to?(:quot)) + assert_equal(false, c.respond_to?(:quotrem)) + + assert_equal(false, c.respond_to?(:gcd)) + assert_equal(false, c.respond_to?(:lcm)) + assert_equal(false, c.respond_to?(:gcdlcm)) + end + + def test_to_i + assert_equal(3, Complex(3).to_i) + assert_equal(3, Integer(Complex(3))) + assert_raise(RangeError){Complex(3,2).to_i} + assert_raise(RangeError){Integer(Complex(3,2))} + end + + def test_to_f + assert_equal(3.0, Complex(3).to_f) + assert_equal(3.0, Float(Complex(3))) + assert_raise(RangeError){Complex(3,2).to_f} + assert_raise(RangeError){Float(Complex(3,2))} + end + + def test_to_r + if defined?(Rational) && !Rational.instance_variable_get('@RCS_ID') + assert_equal(Rational(3), Complex(3).to_r) + assert_equal(Rational(3), Rational(Complex(3))) + assert_raise(RangeError){Complex(3,2).to_r} + assert_raise(RangeError){Rational(Complex(3,2))} + end + end + + def test_to_c + c = nil.to_c + assert_equal([0,0] , [c.real, c.image]) + + c = 0.to_c + assert_equal([0,0] , [c.real, c.image]) + + c = 1.to_c + assert_equal([1,0] , [c.real, c.image]) + + c = 1.1.to_c + assert_equal([1.1, 0], [c.real, c.image]) + + if defined?(Rational) + c = Rational(1,2).to_c + assert_equal([Rational(1,2), 0], [c.real, c.image]) + end + + c = Complex(1,2).to_c + assert_equal([1, 2], [c.real, c.image]) + end + + def test_prec + assert_equal(nil, Complex < Precision) + end + + def test_supp + assert_equal(true, 1.scalar?) + assert_equal(true, 1.1.scalar?) + + 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) + + assert_equal(1, 1.numerator) + assert_equal(9, 9.numerator) + assert_equal(1, 1.denominator) + assert_equal(1, 9.denominator) + + if defined?(Rational) && !Rational.instance_variable_get('@RCS_ID') + 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) + end + +=begin + if defined?(Rational) && !Rational.instance_variable_get('@RCS_ID') + 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 +=end + + if defined?(Rational) + 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(Complex(Rational(1,2),Rational(1)), Complex(1,2).quo(2)) + else + assert_equal(0.5, 1.quo(2)) + assert_equal(5000000000.0, 10000000000.quo(2)) + assert_equal(0.5, 1.0.quo(2)) + assert_equal(Complex(0.5,1.0), Complex(1,2).quo(2)) + end + + if defined?(Rational) && !Rational.instance_variable_get('@RCS_ID') + assert_equal(Rational(1,2), 1.rdiv(2)) + assert_equal(Rational(5000000000), 10000000000.rdiv(2)) + assert_equal(Rational(1,2), 1.0.rdiv(2)) + assert_equal(Rational(1,4), Rational(1,2).rdiv(2)) + assert_equal(Complex(Rational(1,2),Rational(1)), Complex(1,2).quo(2)) + end + + assert_equal(0.5, 1.fdiv(2)) + assert_equal(5000000000.0, 10000000000.fdiv(2)) + assert_equal(0.5, 1.0.fdiv(2)) + if defined?(Rational) + assert_equal(0.25, Rational(1,2).fdiv(2)) + end + assert_equal(Complex(0.5,1.0), Complex(1,2).quo(2)) + + unless $".grep(/complex/).empty? + assert_equal(Complex(0,2), Math.sqrt(-4.0)) +# assert_equal(true, Math.sqrt(-4.0).inexact?) + assert_equal(Complex(0,2), Math.sqrt(-4)) +# assert_equal(true, Math.sqrt(-4).exact?) + if defined?(Rational) + assert_equal(Complex(0,2), Math.sqrt(Rational(-4))) +# assert_equal(true, Math.sqrt(Rational(-4)).exact?) + end + + assert_equal(Complex(0,3), Math.sqrt(-9.0)) +# assert_equal(true, Math.sqrt(-9.0).inexact?) + assert_equal(Complex(0,3), Math.sqrt(-9)) +# assert_equal(true, Math.sqrt(-9).exact?) + if defined?(Rational) + assert_equal(Complex(0,3), Math.sqrt(Rational(-9))) +# assert_equal(true, Math.sqrt(Rational(-9)).exact?) + end + + c = Math.sqrt(Complex(1, 2)) + assert_in_delta(1.272, c.real, 0.001) + assert_in_delta(0.786, c.image, 0.001) + + c = Math.sqrt(-9) + assert_in_delta(0.0, c.real, 0.001) + assert_in_delta(3.0, c.image, 0.001) + + c = Math.exp(Complex(1, 2)) + assert_in_delta(-1.131, c.real, 0.001) + assert_in_delta(2.471, c.image, 0.001) + + c = Math.sin(Complex(1, 2)) + assert_in_delta(3.165, c.real, 0.001) + assert_in_delta(1.959, c.image, 0.001) + + c = Math.cos(Complex(1, 2)) + assert_in_delta(2.032, c.real, 0.001) + assert_in_delta(-3.051, c.image, 0.001) + + c = Math.tan(Complex(1, 2)) + assert_in_delta(0.033, c.real, 0.001) + assert_in_delta(1.014, c.image, 0.001) + + c = Math.sinh(Complex(1, 2)) + assert_in_delta(-0.489, c.real, 0.001) + assert_in_delta(1.403, c.image, 0.001) + + c = Math.cosh(Complex(1, 2)) + assert_in_delta(-0.642, c.real, 0.001) + assert_in_delta(1.068, c.image, 0.001) + + c = Math.tanh(Complex(1, 2)) + assert_in_delta(1.166, c.real, 0.001) + assert_in_delta(-0.243, c.image, 0.001) + + c = Math.log(Complex(1, 2)) + assert_in_delta(0.804, c.real, 0.001) + assert_in_delta(1.107, c.image, 0.001) + + c = Math.log(Complex(1, 2), Math::E) + assert_in_delta(0.804, c.real, 0.001) + assert_in_delta(1.107, c.image, 0.001) + + c = Math.log(-1) + assert_in_delta(0.0, c.real, 0.001) + assert_in_delta(Math::PI, c.image, 0.001) + + c = Math.log(8, 2) + assert_in_delta(3.0, c.real, 0.001) + assert_in_delta(0.0, c.image, 0.001) + + c = Math.log(-8, -2) + assert_in_delta(1.092, c.real, 0.001) + assert_in_delta(-0.420, c.image, 0.001) + + c = Math.log10(Complex(1, 2)) + assert_in_delta(0.349, c.real, 0.001) + assert_in_delta(0.480, c.image, 0.001) + + c = Math.asin(Complex(1, 2)) + assert_in_delta(0.427, c.real, 0.001) + assert_in_delta(1.528, c.image, 0.001) + + c = Math.acos(Complex(1, 2)) + assert_in_delta(1.143, c.real, 0.001) + assert_in_delta(-1.528, c.image, 0.001) + + c = Math.atan(Complex(1, 2)) + assert_in_delta(1.338, c.real, 0.001) + assert_in_delta(0.402, c.image, 0.001) + + c = Math.atan2(Complex(1, 2), 1) + assert_in_delta(1.338, c.real, 0.001) + assert_in_delta(0.402, c.image, 0.001) + + c = Math.asinh(Complex(1, 2)) + assert_in_delta(1.469, c.real, 0.001) + assert_in_delta(1.063, c.image, 0.001) + + c = Math.acosh(Complex(1, 2)) + assert_in_delta(1.528, c.real, 0.001) + assert_in_delta(1.143, c.image, 0.001) + + c = Math.atanh(Complex(1, 2)) + assert_in_delta(0.173, c.real, 0.001) + assert_in_delta(1.178, c.image, 0.001) + end + + end + + def test_fixed_bug + if defined?(Rational) && !Rational.instance_variable_get('@RCS_ID') + assert_equal(Complex(1), 1 ** Complex(1)) + end + assert_equal('-1.0-0.0i', Complex(-1.0, -0.0).to_s) + end + + def test_known_bug + end + +end diff --git a/test/ruby/test_rational.rb b/test/ruby/test_rational.rb new file mode 100644 index 0000000000..bafe995a26 --- /dev/null +++ b/test/ruby/test_rational.rb @@ -0,0 +1,971 @@ +require 'test/unit' + +class RationalSub < Rational; end + +class Rational_Test < Test::Unit::TestCase + + def test_sub + 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]}) + 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_rdiv + c = Rational(1,2) + c2 = Rational(2,3) + + assert_equal(Rational(3,4), c.rdiv(c2)) + + assert_equal(Rational(1,4), c.rdiv(2)) + assert_equal(Rational(0.25), c.rdiv(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) + 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) + + assert_equal('0', Rational(0,2).to_s) + assert_equal('0', 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('Rational(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) + 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(Rational(1,2), 1.rdiv(2)) + assert_equal(Rational(5000000000), 10000000000.rdiv(2)) + assert_equal(Rational(1,2), 1.0.rdiv(2)) + assert_equal(Rational(1,4), Rational(1,2).rdiv(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 + + def test_fixed_bug + if defined?(Rational::Unify) + assert_instance_of(Fixnum, Rational(1,2) ** 0) # mathn's bug + end + end + +=begin + def test_known_bug + n = Float::MAX.to_i * 2 + assert_equal(1.0, Rational(n + 2, n + 1).to_f, '[ruby-dev:33852]') + end +=end + +end |