[439] | 1 | def assert_complex(real, exp)
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| 2 | assert "assert_complex" do
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| 3 | assert_float real.real, exp.real
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| 4 | assert_float real.imaginary, exp.imaginary
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| 5 | end
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| 6 | end
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| 7 |
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| 8 | assert 'Complex' do
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| 9 | c = 123i
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| 10 | assert_equal Complex, c.class
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| 11 | assert_equal [c.real, c.imaginary], [0, 123]
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| 12 | c = 123 + -1.23i
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| 13 | assert_equal Complex, c.class
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| 14 | assert_equal [c.real, c.imaginary], [123, -1.23]
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| 15 | end
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| 16 |
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| 17 | assert 'Complex::polar' do
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| 18 | assert_complex Complex.polar(3, 0), (3 + 0i)
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| 19 | assert_complex Complex.polar(3, Math::PI/2), (0 + 3i)
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| 20 | assert_complex Complex.polar(3, Math::PI), (-3 + 0i)
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| 21 | assert_complex Complex.polar(3, -Math::PI/2), (0 + -3i)
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| 22 | end
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| 23 |
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| 24 | assert 'Complex::rectangular' do
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| 25 | assert_complex Complex.rectangular(1, 2), (1 + 2i)
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| 26 | end
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| 27 |
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| 28 | assert 'Complex#*' do
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| 29 | assert_complex Complex(2, 3) * Complex(2, 3), (-5 + 12i)
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| 30 | assert_complex Complex(900) * Complex(1), (900 + 0i)
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| 31 | assert_complex Complex(-2, 9) * Complex(-9, 2), (0 - 85i)
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| 32 | assert_complex Complex(9, 8) * 4, (36 + 32i)
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| 33 | assert_complex Complex(20, 9) * 9.8, (196.0 + 88.2i)
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| 34 | end
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| 35 |
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| 36 | assert 'Complex#+' do
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| 37 | assert_complex Complex(2, 3) + Complex(2, 3) , (4 + 6i)
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| 38 | assert_complex Complex(900) + Complex(1) , (901 + 0i)
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| 39 | assert_complex Complex(-2, 9) + Complex(-9, 2), (-11 + 11i)
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| 40 | assert_complex Complex(9, 8) + 4 , (13 + 8i)
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| 41 | assert_complex Complex(20, 9) + 9.8 , (29.8 + 9i)
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| 42 | end
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| 43 |
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| 44 | assert 'Complex#-' do
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| 45 | assert_complex Complex(2, 3) - Complex(2, 3) , (0 + 0i)
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| 46 | assert_complex Complex(900) - Complex(1) , (899 + 0i)
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| 47 | assert_complex Complex(-2, 9) - Complex(-9, 2), (7 + 7i)
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| 48 | assert_complex Complex(9, 8) - 4 , (5 + 8i)
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| 49 | assert_complex Complex(20, 9) - 9.8 , (10.2 + 9i)
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| 50 | end
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| 51 |
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| 52 | assert 'Complex#-@' do
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| 53 | assert_complex(-Complex(1, 2), (-1 - 2i))
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| 54 | end
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| 55 |
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| 56 | assert 'Complex#/' do
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| 57 | assert_complex Complex(2, 3) / Complex(2, 3) , (1 + 0i)
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| 58 | assert_complex Complex(900) / Complex(1) , (900 + 0i)
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| 59 | assert_complex Complex(-2, 9) / Complex(-9, 2), ((36 / 85) - (77i / 85))
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| 60 | assert_complex Complex(9, 8) / 4 , ((9 / 4) + 2i)
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| 61 | assert_complex Complex(20, 9) / 9.8 , (2.0408163265306123 + 0.9183673469387754i)
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| 62 | if 1e39.infinite? then
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| 63 | # MRB_USE_FLOAT in effect
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| 64 | ten = 1e21
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| 65 | one = 1e20
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| 66 | else
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| 67 | ten = 1e201
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| 68 | one = 1e200
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| 69 | end
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| 70 | assert_complex Complex(ten, ten) / Complex(one, one), Complex(10.0, 0.0)
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| 71 | end
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| 72 |
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| 73 | assert 'Complex#==' do
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| 74 | assert_true Complex(2, 3) == Complex(2, 3)
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| 75 | assert_true Complex(5) == 5
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| 76 | assert_true Complex(0) == 0.0
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| 77 | end
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| 78 |
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| 79 | assert 'Complex#abs' do
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| 80 | assert_float Complex(-1).abs, 1
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| 81 | assert_float Complex(3.0, -4.0).abs, 5.0
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| 82 | if 1e39.infinite? then
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| 83 | # MRB_USE_FLOAT in effect
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| 84 | exp = 125
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| 85 | else
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| 86 | exp = 1021
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| 87 | end
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| 88 | assert_true Complex(3.0*2.0**exp, 4.0*2.0**exp).abs.finite?
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| 89 | assert_float Complex(3.0*2.0**exp, 4.0*2.0**exp).abs, 5.0*2.0**exp
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| 90 | end
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| 91 |
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| 92 | assert 'Complex#abs2' do
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| 93 | assert_float Complex(-1).abs2, 1
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| 94 | assert_float Complex(3.0, -4.0).abs2, 25.0
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| 95 | end
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| 96 |
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| 97 | assert 'Complex#arg' do
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| 98 | assert_float Complex.polar(3, Math::PI/2).arg, 1.5707963267948966
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| 99 | end
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| 100 |
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| 101 | assert 'Complex#conjugate' do
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| 102 | assert_complex Complex(1, 2).conjugate, (1 - 2i)
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| 103 | end
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| 104 |
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| 105 | assert 'Complex#fdiv' do
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| 106 | assert_complex Complex(11, 22).fdiv(3), (3.6666666666666665 + 7.333333333333333i)
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| 107 | end
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| 108 |
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| 109 | assert 'Complex#imaginary' do
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| 110 | assert_float Complex(7).imaginary , 0
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| 111 | assert_float Complex(9, -4).imaginary, -4
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| 112 | end
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| 113 |
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| 114 | assert 'Complex#polar' do
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| 115 | assert_equal Complex(1, 2).polar, [2.23606797749979, 1.1071487177940904]
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| 116 | end
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| 117 |
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| 118 | assert 'Complex#real' do
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| 119 | assert_float Complex(7).real, 7
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| 120 | assert_float Complex(9, -4).real, 9
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| 121 | end
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| 122 |
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| 123 | assert 'Complex#real?' do
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| 124 | assert_false Complex(1).real?
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| 125 | end
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| 126 |
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| 127 | assert 'Complex::rectangular' do
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| 128 | assert_equal Complex(1, 2).rectangular, [1, 2]
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| 129 | end
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| 130 |
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| 131 | assert 'Complex::to_c' do
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| 132 | assert_equal Complex(1, 2).to_c, Complex(1, 2)
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| 133 | end
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| 134 |
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| 135 | assert 'Complex::to_f' do
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| 136 | assert_float Complex(1, 0).to_f, 1.0
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| 137 | assert_raise(RangeError) do
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| 138 | Complex(1, 2).to_f
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| 139 | end
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| 140 | end
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| 141 |
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| 142 | assert 'Complex::to_i' do
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| 143 | assert_equal Complex(1, 0).to_i, 1
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| 144 | assert_raise(RangeError) do
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| 145 | Complex(1, 2).to_i
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| 146 | end
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| 147 | end
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| 148 |
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| 149 | assert 'Complex#frozen?' do
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| 150 | assert_predicate(1i, :frozen?)
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| 151 | assert_predicate(Complex(2,3), :frozen?)
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| 152 | assert_predicate(4+5i, :frozen?)
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| 153 | end
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