| 1 | test_sin = ->
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| 2 | run_test [
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| 3 |
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| 4 | "sin(x)",
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| 5 | "sin(x)",
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| 6 |
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| 7 | "sin(-x)",
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| 8 | "-sin(x)",
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| 9 |
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| 10 | "sin(b-a)",
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| 11 | "-sin(a-b)",
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| 12 |
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| 13 | # check against the floating point math library
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| 14 |
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| 15 | "f(a,x)=1+sin(float(a/360*2*pi))-float(x)+sin(a/360*2*pi)-x",
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| 16 | "",
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| 17 |
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| 18 | "f(0,0)", # 0
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| 19 | "1.0",
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| 20 |
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| 21 | "f(90,1)", # 90
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| 22 | "1.0",
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| 23 |
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| 24 | "f(180,0)", # 180
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| 25 | "1.0",
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| 26 |
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| 27 | "f(270,-1)", # 270
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| 28 | "1.0",
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| 29 |
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| 30 | "f(360,0)", # 360
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| 31 | "1.0",
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| 32 |
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| 33 | "f(-90,-1)", # -90
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| 34 | "1.0",
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| 35 |
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| 36 | "f(-180,0)", # -180
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| 37 | "1.0",
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| 38 |
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| 39 | "f(-270,1)", # -270
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| 40 | "1.0",
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| 41 |
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| 42 | "f(-360,0)", # -360
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| 43 | "1.0",
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| 44 |
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| 45 | "f(45,sqrt(2)/2)", # 45
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| 46 | "1.0",
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| 47 |
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| 48 | "f(135,sqrt(2)/2)", # 135
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| 49 | "1.0",
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| 50 |
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| 51 | "f(225,-sqrt(2)/2)", # 225
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| 52 | "1.0",
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| 53 |
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| 54 | "f(315,-sqrt(2)/2)", # 315
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| 55 | "1.0",
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| 56 |
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| 57 | "f(-45,-sqrt(2)/2)", # -45
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| 58 | "1.0",
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| 59 |
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| 60 | "f(-135,-sqrt(2)/2)", # -135
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| 61 | "1.0",
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| 62 |
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| 63 | "f(-225,sqrt(2)/2)", # -225
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| 64 | "1.0",
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| 65 |
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| 66 | "f(-315,sqrt(2)/2)", # -315
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| 67 | "1.0",
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| 68 |
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| 69 | "f(30,1/2)", # 30
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| 70 | "1.0",
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| 71 |
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| 72 | "f(150,1/2)", # 150
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| 73 | "1.0",
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| 74 |
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| 75 | "f(210,-1/2)", # 210
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| 76 | "1.0",
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| 77 |
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| 78 | "f(330,-1/2)", # 330
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| 79 | "1.0",
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| 80 |
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| 81 | "f(-30,-1/2)", # -30
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| 82 | "1.0",
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| 83 |
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| 84 | "f(-150,-1/2)", # -150
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| 85 | "1.0",
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| 86 |
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| 87 | "f(-210,1/2)", # -210
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| 88 | "1.0",
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| 89 |
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| 90 | "f(-330,1/2)", # -330
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| 91 | "1.0",
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| 92 |
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| 93 | "f(60,sqrt(3)/2)", # 60
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| 94 | "1.0",
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| 95 |
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| 96 | "f(120,sqrt(3)/2)", # 120
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| 97 | "1.0",
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| 98 |
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| 99 | "f(240,-sqrt(3)/2)", # 240
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| 100 | "1.0",
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| 101 |
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| 102 | "f(300,-sqrt(3)/2)", # 300
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| 103 | "1.0",
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| 104 |
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| 105 | "f(-60,-sqrt(3)/2)", # -60
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| 106 | "1.0",
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| 107 |
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| 108 | "f(-120,-sqrt(3)/2)", # -120
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| 109 | "1.0",
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| 110 |
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| 111 | "f(-240,sqrt(3)/2)", # -240
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| 112 | "1.0",
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| 113 |
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| 114 | "f(-300,sqrt(3)/2)", # -300
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| 115 | "1.0",
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| 116 |
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| 117 | "f=quote(f)",
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| 118 | "",
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| 119 |
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| 120 | "sin(arcsin(x))",
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| 121 | "x",
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| 122 |
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| 123 | # check the default case
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| 124 |
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| 125 | "sin(1/12*pi)",
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| 126 | "sin(1/12*pi)",
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| 127 |
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| 128 | "sin(arctan(4/3))",
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| 129 | "4/5",
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| 130 |
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| 131 | "sin(-arctan(4/3))",
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| 132 | "-4/5",
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| 133 |
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| 134 | # phase
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| 135 |
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| 136 | "sin(x-8/2*pi)",
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| 137 | "sin(x)",
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| 138 |
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| 139 | "sin(x-7/2*pi)",
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| 140 | "cos(x)",
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| 141 |
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| 142 | "sin(x-6/2*pi)",
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| 143 | "-sin(x)",
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| 144 |
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| 145 | "sin(x-5/2*pi)",
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| 146 | "-cos(x)",
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| 147 |
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| 148 | "sin(x-4/2*pi)",
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| 149 | "sin(x)",
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| 150 |
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| 151 | "sin(x-3/2*pi)",
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| 152 | "cos(x)",
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| 153 |
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| 154 | "sin(x-2/2*pi)",
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| 155 | "-sin(x)",
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| 156 |
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| 157 | "sin(x-1/2*pi)",
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| 158 | "-cos(x)",
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| 159 |
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| 160 | "sin(x+0/2*pi)",
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| 161 | "sin(x)",
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| 162 |
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| 163 | "sin(x+1/2*pi)",
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| 164 | "cos(x)",
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| 165 |
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| 166 | "sin(x+2/2*pi)",
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| 167 | "-sin(x)",
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| 168 |
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| 169 | "sin(x+3/2*pi)",
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| 170 | "-cos(x)",
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| 171 |
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| 172 | "sin(x+4/2*pi)",
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| 173 | "sin(x)",
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| 174 |
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| 175 | "sin(x+5/2*pi)",
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| 176 | "cos(x)",
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| 177 |
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| 178 | "sin(x+6/2*pi)",
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| 179 | "-sin(x)",
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| 180 |
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| 181 | "sin(x+7/2*pi)",
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| 182 | "-cos(x)",
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| 183 |
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| 184 | "sin(x+8/2*pi)",
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| 185 | "sin(x)",
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| 186 | ]
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