require 'test/unit' class ComplexSub < Complex; end class Complex_Test < Test::Unit::TestCase def test_compsub 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?(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.image, 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.image, 0.001) c = Complex(1,2) c2 = Complex(2,3) if defined?(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 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_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('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 defined?(Rational) && !defined?(Complex::Unify) && !Rational.instance_variable_get('@RCS_ID') 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 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) 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(5,1), '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.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.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), '_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+3/2i'.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?(: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 =begin 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 =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(/(\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 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 =begin def test_canonicalize f = defined?(Complex::Unify) Complex.const_set(:Unify, true) unless f assert_same(1, Complex.instance_eval { new(1, 0) }) assert_not_same(1.0, Complex.instance_eval { new(1.0, 0) }) assert_equal(Complex(1.0, 0), Complex.instance_eval { new(1.0, 0) }) Complex.instance_eval { remove_const(:Unify) } unless f end def test_polar c = Complex.polar(2, 2) assert_in_delta(2*Math.cos(2), c.real , 0.001) assert_in_delta(2*Math.sin(2), c.image, 0.001) c = Complex.polar(1, Complex(0, 1)) assert_in_delta(1/Math::E, c.real , 0.001) assert_in_delta( 0, c.image, 0.001) end def test_generic? assert_equal(true, Complex.generic?(1)) assert_equal(true, Complex.generic?(2**100)) assert_equal(true, Complex.generic?(Rational(1, 2))) assert_equal(true, Complex.generic?(1.0)) assert_equal(false, Complex.generic?(Complex(1, 1))) end def test_new_bang2 o = Object.new def o.to_i; 1; end assert_equal(Complex(1, 1), Complex.instance_eval { new!(o, o) }) end def test_denominator f = defined?(Complex::Unify) unify_val = f && Complex::Unify Complex.instance_eval { remove_const(:Unify) } if f dummy_rational = Class.new(Rational) o1 = dummy_rational.instance_eval { new(1, 1) } o2 = dummy_rational.instance_eval { new(1, 1) } d1 = d2 = nil class << o1; self; end.instance_eval { define_method(:denominator) { d1 } rescue nil } class << o2; self; end.instance_eval { define_method(:denominator) { d2 } rescue nil } # o1.denominator returns d1 and o1.denominator returns d2 c = Complex(o1, o2) d1 = d2 = 0 assert_equal(0, c.denominator) d1 = d2 = -1 assert_equal(1, c.denominator) d1 = d2 = 256 assert_equal(256, c.denominator) d1, d2 = 512, 256 assert_equal(512, c.denominator) d1, d2 = 256, 512 assert_equal(512, c.denominator) d1, d2 = -(2**100), -(3**100) assert_equal(6**100, c.denominator) d1, d2 = 1, 2**100 assert_equal(2**100, c.denominator) Complex.const_set(:Unify, unify_val) if f end def test_abs b = 2**100 def b.*(x); self; end rescue nil def b.+(x); -1; end rescue nil assert_equal(Complex(0, 1), Complex(b, 1).abs) def b.+(x); Complex(0, 1); end rescue nil c = Complex(b, 1).abs assert_in_delta(1/Math.sqrt(2), c.real , 0.001) assert_in_delta(1/Math.sqrt(2), c.image, 0.001) def b.+(x); Complex(0, -1); end rescue nil c = Complex(b, 1).abs assert_in_delta( 1/Math.sqrt(2), c.real , 0.001) assert_in_delta(-1/Math.sqrt(2), c.image, 0.001) inf = 1.0/0.0 nan = inf/inf assert_raise(Errno::EDOM, Errno::ERANGE) { Complex(1, nan).abs } end def test_coerce c = Complex(6, 3) assert_equal(Complex(42, 0), c.coerce(42).first) assert_raise(TypeError) { c.coerce(Object.new) } o = Object.new def o.coerce(x); [x.real, x.image]; end assert_equal(9, c + o) assert_equal(3, c - o) assert_equal(18, c * o) assert_equal(2, c / o) assert_equal(216, c ** o) end def test_add2 assert_equal(Complex(2**100, 1), Complex(0, 1) + 2**100) end def test_mul2 assert_equal(Complex(0.0, 0.0), Complex(1.0, 1.0) * 0) assert_equal(Complex(0, 0), Complex(0, 0) * (2**100)) end def test_expt2 assert_equal(Complex(1, 0), Complex(2, 2) ** 0) assert_equal(Complex(0, -1), Complex(0, 1) ** (2**100-1)) assert_equal(Complex(1, 0), Complex(1, 0) ** Rational(1, 2**100)) 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