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-rw-r--r--test/ruby/test_complex.rb1107
1 files changed, 1107 insertions, 0 deletions
diff --git a/test/ruby/test_complex.rb b/test/ruby/test_complex.rb
new file mode 100644
index 0000000000..d49204d222
--- /dev/null
+++ b/test/ruby/test_complex.rb
@@ -0,0 +1,1107 @@
+require 'test/unit'
+
+class ComplexSub < Complex; end
+
+class Complex_Test < Test::Unit::TestCase
+
+ def setup
+ @rational = defined?(Rational)
+ if @rational
+ @keiju = Rational.instance_variables.include?(:@RCS_ID)
+ end
+ seps = [File::SEPARATOR, File::ALT_SEPARATOR].compact.map{|x| Regexp.escape(x)}.join("|")
+ @unify = $".grep(/(?:^|#{seps})mathn(?:\.(?:rb|so))?/).size != 0
+ end
+
+ def test_compsub
+ c = ComplexSub.__send__(:convert, 1)
+
+ assert_kind_of(Numeric, c)
+
+ if @unify
+ assert_instance_of(Fixnum, c)
+ else
+ assert_instance_of(ComplexSub, c)
+
+ 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
+
+ c1 = Complex(1)
+ assert_equal(c1.hash, c.hash, '[ruby-dev:38850]')
+ assert_equal([true, true], [c.eql?(c1), c1.eql?(c)])
+ 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 @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)
+ assert_instance_of(Fixnum, Complex(1.0,2.0).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)
+
+ h[Complex(0.0,0.0)] = 9.0
+ assert_equal(5, h.size)
+
+ if (0.0/0).nan? && !((0.0/0).eql?(0.0/0))
+ h = {}
+ 3.times{h[Complex(0.0/0)] = 1}
+ assert_equal(3, h.size)
+ end
+ end
+
+ def test_freeze
+ c = Complex(1)
+ c.freeze
+ unless @unify
+ assert_equal(true, c.frozen?)
+ end
+ assert_instance_of(String, c.to_s)
+ end
+
+ def test_conv
+ c = Complex(0,0)
+ assert_equal(Complex(0,0), c)
+
+ c = Complex(2**32, 2**32)
+ assert_equal(Complex(2**32,2**32), c)
+ assert_equal([2**32,2**32], [c.real,c.imag])
+
+ c = Complex(-2**32, 2**32)
+ assert_equal(Complex(-2**32,2**32), c)
+ assert_equal([-2**32,2**32], [c.real,c.imag])
+
+ c = Complex(2**32, -2**32)
+ assert_equal(Complex(2**32,-2**32), c)
+ assert_equal([2**32,-2**32], [c.real,c.imag])
+
+ c = Complex(-2**32, -2**32)
+ assert_equal(Complex(-2**32,-2**32), c)
+ assert_equal([-2**32,-2**32], [c.real,c.imag])
+
+ c = Complex(Complex(1,2),2)
+ assert_equal(Complex(1,4), c)
+
+ c = Complex(2,Complex(1,2))
+ assert_equal(Complex(0,1), c)
+
+ c = Complex(Complex(1,2),Complex(1,2))
+ assert_equal(Complex(-1,3), c)
+
+ c = Complex::I
+ assert_equal(Complex(0,1), c)
+
+ assert_equal(Complex(1),Complex(1))
+ assert_equal(Complex(1),Complex('1'))
+ assert_equal(Complex(3.0,3.0),Complex('3.0','3.0'))
+ if @rational && !@keiju
+ assert_equal(Complex(1,1),Complex('3/3','3/3'))
+ end
+ assert_raise(TypeError){Complex(nil)}
+ assert_raise(TypeError){Complex(Object.new)}
+ assert_raise(ArgumentError){Complex()}
+ assert_raise(ArgumentError){Complex(1,2,3)}
+
+ if (0.0/0).nan?
+ assert_nothing_raised{Complex(0.0/0)}
+ end
+ if (1.0/0).infinite?
+ assert_nothing_raised{Complex(1.0/0)}
+ end
+ end
+
+ def test_attr
+ c = Complex(4)
+
+ assert_equal(4, c.real)
+ assert_equal(0, c.imag)
+
+ c = Complex(4,5)
+
+ assert_equal(4, c.real)
+ assert_equal(5, c.imag)
+
+ if -0.0.to_s == '-0.0'
+ c = Complex(-0.0,-0.0)
+
+ assert_equal('-0.0', c.real.to_s)
+ assert_equal('-0.0', c.imag.to_s)
+ end
+
+ c = Complex(4)
+
+ assert_equal(4, c.real)
+ assert_equal(0, c.imag)
+ assert_equal(c.imag, c.imaginary)
+
+ c = Complex(4,5)
+
+ assert_equal(4, c.real)
+ assert_equal(5, c.imag)
+ assert_equal(c.imag, c.imaginary)
+
+ if -0.0.to_s == '-0.0'
+ c = Complex(-0.0,-0.0)
+
+ assert_equal('-0.0', c.real.to_s)
+ assert_equal('-0.0', c.imag.to_s)
+ assert_equal(c.imag.to_s, c.imaginary.to_s)
+ end
+
+ c = Complex(4)
+
+ assert_equal(4, c.real)
+ assert_equal(c.imag, c.imaginary)
+ assert_equal(0, c.imag)
+
+ c = Complex(4,5)
+
+ assert_equal(4, c.real)
+ assert_equal(5, c.imag)
+ assert_equal(c.imag, c.imaginary)
+
+ c = Complex(-0.0,-0.0)
+
+ assert_equal('-0.0', c.real.to_s)
+ assert_equal('-0.0', c.imag.to_s)
+ assert_equal(c.imag.to_s, c.imaginary.to_s)
+ end
+
+ def test_attr2
+ c = Complex(1)
+
+ if @unify
+=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?)
+=end
+ assert_equal(true, c.real?)
+=begin
+ assert_equal(false, c.complex?)
+ assert_equal(true, c.exact?)
+ assert_equal(false, c.inexact?)
+=end
+ else
+=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?)
+=end
+ assert_equal(false, c.real?)
+=begin
+ 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_rect
+ assert_equal([1,2], Complex.rectangular(1,2).rectangular)
+ assert_equal([1,2], Complex.rect(1,2).rect)
+ end
+
+ def test_polar
+ assert_equal([1,2], Complex.polar(1,2).polar)
+ 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))
+
+ if -0.0.to_s == '-0.0'
+ c = +Complex(0.0,0.0)
+ assert_equal('0.0', c.real.to_s)
+ assert_equal('0.0', c.imag.to_s)
+
+ c = +Complex(-0.0,-0.0)
+ assert_equal('-0.0', c.real.to_s)
+ assert_equal('-0.0', c.imag.to_s)
+ end
+ 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))
+
+ if -0.0.to_s == '-0.0'
+ c = -Complex(0.0,0.0)
+ assert_equal('-0.0', c.real.to_s)
+ assert_equal('-0.0', c.imag.to_s)
+
+ c = -Complex(-0.0,-0.0)
+ assert_equal('0.0', c.real.to_s)
+ assert_equal('0.0', c.imag.to_s)
+ end
+
+=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 @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 @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 @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 @rational
+ assert_equal(Complex(Rational(8,13),Rational(1,13)), c / c2)
+ else
+ r = c / c2
+ assert_in_delta(0.615, r.real, 0.001)
+ assert_in_delta(0.076, r.imag, 0.001)
+ 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.imag, 0.001)
+
+ c = Complex(1,2)
+ c2 = Complex(2,3)
+
+ if @rational
+ assert_equal(Complex(Rational(1,2),1), c / 2)
+ else
+ assert_equal(Complex(0.5,1.0), c / 2)
+ end
+ assert_equal(Complex(0.5,1.0), c / 2.0)
+
+ if @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 @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.imag, 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.imag, 0.001)
+
+ c = Complex(1,2)
+ c2 = Complex(2,3)
+
+ if @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 @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_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.imag, 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.imag, 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.imag, 0.001)
+
+ assert_equal(Complex(-3,4), c ** 2)
+ if @rational && !@keiju
+ 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.imag, 0.001)
+ end
+ r = c ** 2.0
+ assert_in_delta(-3.0, r.real, 0.001)
+ assert_in_delta(4.0, r.imag, 0.001)
+
+ r = c ** -2.0
+ assert_in_delta(-0.12, r.real, 0.001)
+ assert_in_delta(-0.16, r.imag, 0.001)
+
+ if @rational && !@keiju
+ 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.imag, 0.001)
+
+ r = c ** Rational(-2,3)
+ assert_in_delta(0.432, r.real, 0.001)
+ assert_in_delta(-0.393, r.imag, 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_eqeq
+ assert(Complex(1,0) == Complex(1))
+ assert(Complex(-1,0) == Complex(-1))
+
+ 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) == '')
+
+ nan = 0.0 / 0
+ if nan.nan? && nan != nan
+ assert_equal(false, Complex(nan, 0) == Complex(nan, 0))
+ assert_equal(false, Complex(0, nan) == Complex(0, nan))
+ assert_equal(false, Complex(nan, nan) == Complex(nan, nan))
+ end
+ end
+
+ def test_coerce
+ assert_equal([Complex(2),Complex(1)], Complex(1).coerce(2))
+ assert_equal([Complex(2.2),Complex(1)], Complex(1).coerce(2.2))
+ assert_equal([Complex(Rational(2)),Complex(1)],
+ Complex(1).coerce(Rational(2)))
+ assert_equal([Complex(2),Complex(1)], Complex(1).coerce(Complex(2)))
+ end
+
+ class ObjectX
+ def + (x) Rational(1) end
+ alias - +
+ alias * +
+ alias / +
+ alias quo +
+ alias ** +
+ def coerce(x) [x, Complex(1)] end
+ end
+
+ def test_coerce2
+ x = ObjectX.new
+ %w(+ - * / quo **).each do |op|
+ assert_kind_of(Numeric, Complex(1).__send__(op, x))
+ end
+ end
+
+ def test_unify
+ if @unify
+ assert_instance_of(Fixnum, Complex(1,2) + Complex(-1,-2))
+ assert_instance_of(Fixnum, Complex(1,2) - Complex(1,2))
+ assert_instance_of(Fixnum, Complex(1,2) * 0)
+ assert_instance_of(Fixnum, Complex(1,2) / Complex(1,2))
+# assert_instance_of(Fixnum, Complex(1,2).div(Complex(1,2)))
+ assert_instance_of(Fixnum, Complex(1,2).quo(Complex(1,2)))
+# assert_instance_of(Fixnum, Complex(1,2) ** 0) # mathn's bug
+ end
+ end
+
+ def test_math
+ c = Complex(1,2)
+
+ assert_in_delta(2.236, c.abs, 0.001)
+ assert_in_delta(2.236, c.magnitude, 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.imag**2))
+ assert_equal(c.abs2, c * c.conj)
+ assert_equal(c.abs2, c.real**2 + c.imag**2)
+
+ assert_in_delta(1.107, c.arg, 0.001)
+ assert_in_delta(1.107, c.angle, 0.001)
+ assert_in_delta(1.107, c.phase, 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('0+2i', Complex(0,2).to_s)
+ assert_equal('0-2i', 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('0+2.0i', Complex(0,2.0).to_s)
+ assert_equal('0-2.0i', 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 @rational && !@unify && !@keiju
+ assert_equal('0+2/1i', Complex(0,Rational(2)).to_s)
+ assert_equal('0-2/1i', Complex(0,Rational(-2)).to_s)
+ assert_equal('1+2/1i', Complex(1,Rational(2)).to_s)
+ assert_equal('-1+2/1i', Complex(-1,Rational(2)).to_s)
+ assert_equal('-1-2/1i', Complex(-1,Rational(-2)).to_s)
+ assert_equal('1-2/1i', Complex(1,Rational(-2)).to_s)
+ assert_equal('-1-2/1i', Complex(-1,Rational(-2)).to_s)
+
+ assert_equal('0+2/3i', Complex(0,Rational(2,3)).to_s)
+ assert_equal('0-2/3i', Complex(0,Rational(-2,3)).to_s)
+ assert_equal('1+2/3i', Complex(1,Rational(2,3)).to_s)
+ assert_equal('-1+2/3i', Complex(-1,Rational(2,3)).to_s)
+ assert_equal('-1-2/3i', Complex(-1,Rational(-2,3)).to_s)
+ assert_equal('1-2/3i', Complex(1,Rational(-2,3)).to_s)
+ assert_equal('-1-2/3i', Complex(-1,Rational(-2,3)).to_s)
+ end
+
+ nan = 0.0 / 0
+ inf = 1.0 / 0
+ if nan.nan?
+ assert_equal('NaN+NaN*i', Complex(nan,nan).to_s)
+ end
+ if inf.infinite?
+ assert_equal('Infinity+Infinity*i', Complex(inf,inf).to_s)
+ assert_equal('Infinity-Infinity*i', Complex(inf,-inf).to_s)
+ end
+ end
+
+ def test_inspect
+ c = Complex(1,2)
+
+ assert_instance_of(String, c.inspect)
+ assert_equal('(1+2i)', c.inspect)
+ end
+
+ def test_marshal
+ c = Complex(1,2)
+ c.instance_eval{@ivar = 9}
+
+ s = Marshal.dump(c)
+ c2 = Marshal.load(s)
+ assert_equal(c, c2)
+ assert_equal(9, c2.instance_variable_get(:@ivar))
+ assert_instance_of(Complex, c2)
+
+ if @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
+
+ bug3656 = '[ruby-core:31622]'
+ assert_raise(TypeError, bug3656) {
+ Complex(1,2).marshal_load(0)
+ }
+ end
+
+ def test_parse
+ 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(5,1), '5+i'.to_c)
+ assert_equal(Complex(0,1), 'i'.to_c)
+ assert_equal(Complex(0,1), '+i'.to_c)
+ assert_equal(Complex(0,-1), '-i'.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(0,1), 'I'.to_c)
+ assert_equal(Complex(0,1), 'J'.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(0.33), '.33'.to_c)
+ assert_equal(Complex(0.33), '0.33'.to_c)
+ assert_equal(Complex(-0.33), '-.33'.to_c)
+ assert_equal(Complex(-0.33), '-0.33'.to_c)
+ assert_equal(Complex(-0.33), '-0.3_3'.to_c)
+
+ assert_equal(Complex.polar(10,10), '10@10'.to_c)
+ assert_equal(Complex.polar(-10,-10), '-10@-10'.to_c)
+ assert_equal(Complex.polar(10.5,10.5), '10.5@10.5'.to_c)
+ assert_equal(Complex.polar(-10.5,-10.5), '-10.5@-10.5'.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(5,1), Complex('5+i'))
+ assert_equal(Complex(0,1), Complex('i'))
+ assert_equal(Complex(0,1), Complex('+i'))
+ assert_equal(Complex(0,-1), Complex('-i'))
+
+ 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(0,1), Complex('I'))
+ assert_equal(Complex(0,1), Complex('J'))
+
+ 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(0.33), Complex('.33'))
+ assert_equal(Complex(0.33), Complex('0.33'))
+ assert_equal(Complex(-0.33), Complex('-.33'))
+ assert_equal(Complex(-0.33), Complex('-0.33'))
+ assert_equal(Complex(-0.33), Complex('-0.3_3'))
+
+ assert_equal(Complex.polar(10,10), Complex('10@10'))
+ assert_equal(Complex.polar(-10,-10), Complex('-10@-10'))
+ assert_equal(Complex.polar(10.5,10.5), Complex('10.5@10.5'))
+ assert_equal(Complex.polar(-10.5,-10.5), Complex('-10.5@-10.5'))
+
+ assert_equal(Complex(0), ''.to_c)
+ assert_equal(Complex(0), ' '.to_c)
+ assert_equal(Complex(5), "\f\n\r\t\v5\0".to_c)
+ 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("\f\n\r\t\v5\0")}
+ 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 @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+3/2i'.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.polar(Rational(1,5),Rational(3,2)), Complex('1/5@3/2'))
+ assert_equal(Complex.polar(Rational(-1,5),Rational(-3,2)), Complex('-1/5@-3/2'))
+ 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?(:>=))
+ 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?(:remainder))
+ 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 @rational && !@keiju
+ 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.imag])
+
+ c = 0.to_c
+ assert_equal([0,0], [c.real, c.imag])
+
+ c = 1.to_c
+ assert_equal([1,0], [c.real, c.imag])
+
+ c = 1.1.to_c
+ assert_equal([1.1, 0], [c.real, c.imag])
+
+ if @rational
+ c = Rational(1,2).to_c
+ assert_equal([Rational(1,2), 0], [c.real, c.imag])
+ end
+
+ c = Complex(1,2).to_c
+ assert_equal([1, 2], [c.real, c.imag])
+
+ if (0.0/0).nan?
+ assert_nothing_raised{(0.0/0).to_c}
+ end
+ if (1.0/0).infinite?
+ assert_nothing_raised{(1.0/0).to_c}
+ end
+ end
+
+ def test_supp
+ assert_equal(true, 1.real?)
+ assert_equal(true, 1.1.real?)
+
+ assert_equal(1, 1.real)
+ assert_equal(0, 1.imag)
+ assert_equal(0, 1.imaginary)
+
+ assert_equal(1.1, 1.1.real)
+ assert_equal(0, 1.1.imag)
+ assert_equal(0, 1.1.imaginary)
+
+ assert_equal(1, 1.magnitude)
+ assert_equal(1, -1.magnitude)
+ assert_equal(1, 1.0.magnitude)
+ assert_equal(1, -1.0.magnitude)
+
+ assert_equal(4, 2.abs2)
+ assert_equal(4, -2.abs2)
+ assert_equal(4.0, 2.0.abs2)
+ assert_equal(4.0, -2.0.abs2)
+
+ assert_equal(0, 1.arg)
+ assert_equal(0, 1.angle)
+ assert_equal(0, 1.phase)
+
+ assert_equal(0, 1.0.arg)
+ assert_equal(0, 1.0.angle)
+ assert_equal(0, 1.0.phase)
+
+ if (0.0/0).nan?
+ nan = 0.0/0
+ assert(nan.arg.equal?(nan))
+ assert(nan.angle.equal?(nan))
+ assert(nan.phase.equal?(nan))
+ end
+
+ assert_equal(Math::PI, -1.arg)
+ assert_equal(Math::PI, -1.angle)
+ assert_equal(Math::PI, -1.phase)
+
+ assert_equal(Math::PI, -1.0.arg)
+ assert_equal(Math::PI, -1.0.angle)
+ assert_equal(Math::PI, -1.0.phase)
+
+ assert_equal([1,0], 1.rect)
+ assert_equal([-1,0], -1.rect)
+ assert_equal([1,0], 1.rectangular)
+ assert_equal([-1,0], -1.rectangular)
+
+ assert_equal([1.0,0], 1.0.rect)
+ assert_equal([-1.0,0], -1.0.rect)
+ assert_equal([1.0,0], 1.0.rectangular)
+ assert_equal([-1.0,0], -1.0.rectangular)
+
+ 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)
+
+ if @rational
+ assert_equal(Complex(Rational(1,2),Rational(1)), Complex(1,2).quo(2))
+ else
+ assert_equal(Complex(0.5,1.0), Complex(1,2).quo(2))
+ end
+
+=begin
+ if @rational && !@keiju
+ assert_equal(Complex(Rational(1,2),Rational(1)), Complex(1,2).quo(2))
+ end
+=end
+
+ assert_equal(0.5, 1.fdiv(2))
+ assert_equal(5000000000.0, 10000000000.fdiv(2))
+ assert_equal(0.5, 1.0.fdiv(2))
+ if @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(/(\A|\/)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 @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 @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.imag, 0.001)
+
+ c = Math.sqrt(-9)
+ assert_in_delta(0.0, c.real, 0.001)
+ assert_in_delta(3.0, c.imag, 0.001)
+
+ c = Math.exp(Complex(1, 2))
+ assert_in_delta(-1.131, c.real, 0.001)
+ assert_in_delta(2.471, c.imag, 0.001)
+
+ c = Math.sin(Complex(1, 2))
+ assert_in_delta(3.165, c.real, 0.001)
+ assert_in_delta(1.959, c.imag, 0.001)
+
+ c = Math.cos(Complex(1, 2))
+ assert_in_delta(2.032, c.real, 0.001)
+ assert_in_delta(-3.051, c.imag, 0.001)
+
+ c = Math.tan(Complex(1, 2))
+ assert_in_delta(0.033, c.real, 0.001)
+ assert_in_delta(1.014, c.imag, 0.001)
+
+ c = Math.sinh(Complex(1, 2))
+ assert_in_delta(-0.489, c.real, 0.001)
+ assert_in_delta(1.403, c.imag, 0.001)
+
+ c = Math.cosh(Complex(1, 2))
+ assert_in_delta(-0.642, c.real, 0.001)
+ assert_in_delta(1.068, c.imag, 0.001)
+
+ c = Math.tanh(Complex(1, 2))
+ assert_in_delta(1.166, c.real, 0.001)
+ assert_in_delta(-0.243, c.imag, 0.001)
+
+ c = Math.log(Complex(1, 2))
+ assert_in_delta(0.804, c.real, 0.001)
+ assert_in_delta(1.107, c.imag, 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.imag, 0.001)
+
+ c = Math.log(-1)
+ assert_in_delta(0.0, c.real, 0.001)
+ assert_in_delta(Math::PI, c.imag, 0.001)
+
+ c = Math.log(8, 2)
+ assert_in_delta(3.0, c.real, 0.001)
+ assert_in_delta(0.0, c.imag, 0.001)
+
+ c = Math.log(-8, -2)
+ assert_in_delta(1.092, c.real, 0.001)
+ assert_in_delta(-0.420, c.imag, 0.001)
+
+ c = Math.log10(Complex(1, 2))
+ assert_in_delta(0.349, c.real, 0.001)
+ assert_in_delta(0.480, c.imag, 0.001)
+
+ c = Math.asin(Complex(1, 2))
+ assert_in_delta(0.427, c.real, 0.001)
+ assert_in_delta(1.528, c.imag, 0.001)
+
+ c = Math.acos(Complex(1, 2))
+ assert_in_delta(1.143, c.real, 0.001)
+ assert_in_delta(-1.528, c.imag, 0.001)
+
+ c = Math.atan(Complex(1, 2))
+ assert_in_delta(1.338, c.real, 0.001)
+ assert_in_delta(0.402, c.imag, 0.001)
+
+ c = Math.atan2(Complex(1, 2), 1)
+ assert_in_delta(1.338, c.real, 0.001)
+ assert_in_delta(0.402, c.imag, 0.001)
+
+ c = Math.asinh(Complex(1, 2))
+ assert_in_delta(1.469, c.real, 0.001)
+ assert_in_delta(1.063, c.imag, 0.001)
+
+ c = Math.acosh(Complex(1, 2))
+ assert_in_delta(1.528, c.real, 0.001)
+ assert_in_delta(1.143, c.imag, 0.001)
+
+ c = Math.atanh(Complex(1, 2))
+ assert_in_delta(0.173, c.real, 0.001)
+ assert_in_delta(1.178, c.imag, 0.001)
+ end
+
+ end
+
+ def test_ruby19
+ assert_raise(NoMethodError){ Complex.new(1) }
+ assert_raise(NoMethodError){ Complex.new!(1) }
+ assert_raise(NoMethodError){ Complex.reduce(1) }
+ end
+
+ def test_fixed_bug
+ if @rational && !@keiju
+ 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
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