[a9d5684] | 1 | import math |
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| 2 | |
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| 3 | |
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| 4 | def toX(x, y=None): |
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| 5 | """ |
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| 6 | This function is used to load value on Plottable.View |
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| 7 | |
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| 8 | :param x: Float value |
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| 9 | |
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| 10 | :return: x |
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| 11 | |
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| 12 | """ |
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| 13 | return x |
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| 14 | |
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| 15 | |
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| 16 | def toX_pos(x, y=None): |
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| 17 | """ |
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| 18 | This function is used to load value on Plottable.View |
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| 19 | |
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| 20 | :param x: Float value |
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| 21 | |
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| 22 | :return: x |
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| 23 | |
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| 24 | """ |
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| 25 | if not x > 0: |
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| 26 | raise ValueError, "Transformation only accepts positive values." |
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| 27 | else: |
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| 28 | return x |
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| 29 | |
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| 30 | |
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| 31 | def toX2(x, y=None): |
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| 32 | """ |
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| 33 | This function is used to load value on Plottable.View |
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| 34 | |
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| 35 | Calculate x^(2) |
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| 36 | |
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| 37 | :param x: float value |
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| 38 | |
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| 39 | """ |
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| 40 | return x * x |
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| 41 | |
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| 42 | |
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| 43 | def fromX2(x, y=None): |
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| 44 | """ |
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| 45 | This function is used to load value on Plottable.View |
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| 46 | Calculate square root of x |
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| 47 | |
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| 48 | :param x: float value |
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| 49 | |
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| 50 | """ |
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| 51 | if not x >= 0: |
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| 52 | raise ValueError, "square root of a negative value " |
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| 53 | else: |
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| 54 | return math.sqrt(x) |
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| 55 | |
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| 56 | |
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| 57 | def toX4(x, y=None): |
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| 58 | """ |
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| 59 | This function is used to load value on Plottable.View |
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| 60 | |
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| 61 | Calculate x^(4) |
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| 62 | |
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| 63 | :param x: float value |
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| 64 | |
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| 65 | """ |
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| 66 | return x * x * x * x |
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| 67 | |
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| 68 | |
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| 69 | def fromX4(x, y=None): |
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| 70 | """ |
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| 71 | This function is used to load value on Plottable.View |
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| 72 | Calculate square root of x |
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| 73 | |
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| 74 | :param x: float value |
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| 75 | |
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| 76 | """ |
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| 77 | if not x >= 0: |
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| 78 | raise ValueError, "double square root of a negative value " |
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| 79 | else: |
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| 80 | return math.sqrt(math.sqrt(x)) |
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| 81 | |
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| 82 | |
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| 83 | def toLogX(x, y=None): |
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| 84 | """ |
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| 85 | This function is used to load value on Plottable.View |
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| 86 | calculate log x |
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| 87 | |
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| 88 | :param x: float value |
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| 89 | |
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| 90 | """ |
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| 91 | if not x > 0: |
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| 92 | raise ValueError, "Log(x)of a negative value " |
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| 93 | else: |
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| 94 | return math.log(x) |
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| 95 | |
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| 96 | def toOneOverX(x, y=None): |
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| 97 | """ |
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| 98 | """ |
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| 99 | if x != 0: |
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| 100 | return 1/x |
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| 101 | else: |
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| 102 | raise ValueError, "cannot divide by zero" |
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| 103 | |
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| 104 | |
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| 105 | def toOneOverSqrtX(y, x=None): |
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| 106 | """ |
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| 107 | """ |
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| 108 | if y > 0: |
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| 109 | return 1/math.sqrt(y) |
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| 110 | else: |
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| 111 | raise ValueError, "transform.toOneOverSqrtX: cannot be computed" |
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| 112 | |
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| 113 | |
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| 114 | def toLogYX2(y, x): |
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| 115 | """ |
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| 116 | """ |
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| 117 | if (y * (x**2)) > 0: |
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| 118 | return math.log(y * (x**2)) |
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| 119 | else: |
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| 120 | raise ValueError, "transform.toLogYX2: cannot be computed" |
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| 121 | |
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| 122 | |
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| 123 | def toLogYX4(y, x): |
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| 124 | """ |
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| 125 | """ |
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| 126 | if (math.pow(x, 4) * y) > 0: |
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| 127 | return math.log(math.pow(x,4) * y) |
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| 128 | else: |
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| 129 | raise ValueError,"transform.toLogYX4: input error" |
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| 130 | |
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| 131 | |
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| 132 | def toYX4(y, x): |
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| 133 | """ |
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| 134 | """ |
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| 135 | return math.pow(x, 4) * y |
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| 136 | |
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| 137 | |
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| 138 | def toLogXY(y, x): |
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| 139 | """ |
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| 140 | This function is used to load value on Plottable.View |
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| 141 | calculate log x |
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| 142 | |
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| 143 | :param x: float value |
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| 144 | |
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| 145 | """ |
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| 146 | if not (x * y) > 0: |
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| 147 | raise ValueError, "Log(X*Y)of a negative value " |
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| 148 | else: |
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| 149 | return math.log(x * y) |
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| 150 | |
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| 151 | |
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| 152 | def errToX(x, y=None, dx=None, dy=None): |
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| 153 | """ |
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| 154 | calculate error of x**2 |
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| 155 | |
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| 156 | :param x: float value |
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| 157 | :param dx: float value |
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| 158 | |
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| 159 | """ |
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| 160 | if dx == None: |
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| 161 | dx = 0 |
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| 162 | return dx |
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| 163 | |
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| 164 | |
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| 165 | def errToX_pos(x, y=None, dx=None, dy=None): |
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| 166 | """ |
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| 167 | calculate error of x**2 |
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| 168 | |
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| 169 | :param x: float value |
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| 170 | :param dx: float value |
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| 171 | |
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| 172 | """ |
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| 173 | if dx == None: |
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| 174 | dx = 0 |
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| 175 | return dx |
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| 176 | |
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| 177 | |
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| 178 | def errToX2(x, y=None, dx=None, dy=None): |
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| 179 | """ |
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| 180 | calculate error of x**2 |
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| 181 | |
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| 182 | :param x: float value |
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| 183 | :param dx: float value |
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| 184 | |
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| 185 | """ |
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| 186 | if dx != None: |
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| 187 | err = 2 * x * dx |
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| 188 | return math.fabs(err) |
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| 189 | else: |
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| 190 | return 0.0 |
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| 191 | |
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| 192 | |
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| 193 | def errFromX2(x, y=None, dx=None, dy=None): |
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| 194 | """ |
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| 195 | calculate error of sqrt(x) |
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| 196 | |
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| 197 | :param x: float value |
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| 198 | :param dx: float value |
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| 199 | |
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| 200 | """ |
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| 201 | if (x > 0): |
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| 202 | if(dx != None): |
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| 203 | err = dx / (2 * math.sqrt(x)) |
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| 204 | else: |
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| 205 | err = 0 |
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| 206 | return math.fabs(err) |
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| 207 | else: |
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| 208 | msg = "transform.errFromX2: can't compute error of negative x" |
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| 209 | raise ValueError, msg |
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| 210 | |
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| 211 | |
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| 212 | def errToX4(x, y=None, dx=None, dy=None): |
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| 213 | """ |
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| 214 | calculate error of x**4 |
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| 215 | |
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| 216 | :param x: float value |
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| 217 | :param dx: float value |
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| 218 | |
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| 219 | """ |
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| 220 | if dx != None: |
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| 221 | err = 4 * math.pow(x, 3) * dx |
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| 222 | return math.fabs(err) |
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| 223 | else: |
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| 224 | return 0.0 |
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| 225 | |
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| 226 | |
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| 227 | def errFromX4(x, y=None, dx=None, dy=None): |
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| 228 | """ |
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| 229 | calculate error of x^1/4 |
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| 230 | |
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| 231 | :param x: float value |
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| 232 | :param dx: float value |
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| 233 | |
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| 234 | """ |
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| 235 | if (x > 0): |
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| 236 | if(dx != None): |
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| 237 | err = dx / (4 * math.pow(x, 3/4)) |
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| 238 | else: |
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| 239 | err = 0 |
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| 240 | return math.fabs(err) |
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| 241 | else: |
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| 242 | msg = "transform.errFromX4: can't compute error of negative x" |
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| 243 | raise ValueError, msg |
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| 244 | |
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| 245 | |
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| 246 | def errToLog10X(x, y=None, dx=None, dy=None): |
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| 247 | """ |
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| 248 | calculate error of Log(x) |
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| 249 | |
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| 250 | :param x: float value |
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| 251 | :param dx: float value |
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| 252 | |
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| 253 | """ |
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| 254 | if dx == None: |
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| 255 | dx = 0 |
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| 256 | |
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| 257 | # Check that the point on the graph is positive |
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| 258 | # within errors |
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| 259 | if not (x - dx) > 0: |
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| 260 | msg = "Transformation does not accept" |
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| 261 | msg += " point that are consistent with zero." |
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| 262 | raise ValueError, msg |
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| 263 | if x != 0: |
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| 264 | dx = dx / (x * math.log(10)) |
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| 265 | else: |
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| 266 | raise ValueError, "errToLogX: divide by zero" |
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| 267 | return dx |
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| 268 | |
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| 269 | |
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| 270 | def errToLogX(x, y=None, dx=None, dy=None): |
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| 271 | """ |
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| 272 | calculate error of Log(x) |
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| 273 | |
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| 274 | :param x: float value |
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| 275 | :param dx: float value |
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| 276 | |
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| 277 | """ |
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| 278 | if dx == None: |
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| 279 | dx = 0 |
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| 280 | |
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| 281 | # Check that the x point on the graph is zero |
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| 282 | if x != 0: |
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| 283 | dx = dx/x |
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| 284 | else: |
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| 285 | raise ValueError, "errToLogX: divide by zero" |
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| 286 | return dx |
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| 287 | |
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| 288 | |
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| 289 | def errToYX2(x, y, dx=None, dy=None): |
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| 290 | """ |
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| 291 | """ |
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| 292 | if dx == None: |
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| 293 | dx = 0 |
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| 294 | if dy == None: |
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| 295 | dy = 0 |
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| 296 | err = math.sqrt((2 * x * y * dx)**2 + ((x**2) * dy)**2) |
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| 297 | return err |
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| 298 | |
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| 299 | |
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| 300 | def errToLogXY(x, y, dx=None, dy=None): |
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| 301 | """ |
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| 302 | calculate error of Log(xy) |
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| 303 | |
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| 304 | """ |
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| 305 | # Check that the point on the graph is positive |
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| 306 | # within errors |
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| 307 | if (not (x - dx) > 0) or (not (y - dy) > 0): |
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| 308 | msg = "Transformation does not accept point " |
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| 309 | msg += " that are consistent with zero." |
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| 310 | raise ValueError, msg |
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| 311 | if (x != 0) and (y != 0): |
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| 312 | if dx == None: |
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| 313 | dx = 0 |
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| 314 | if dy == None: |
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| 315 | dy = 0 |
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| 316 | err = (dx/x)**2 + (dy/y)**2 |
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| 317 | else: |
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| 318 | raise ValueError, "cannot compute this error" |
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| 319 | |
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| 320 | return math.sqrt(math.fabs(err)) |
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| 321 | |
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| 322 | |
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| 323 | def errToLogYX2(x, y, dx=None, dy=None): |
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| 324 | """ |
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| 325 | calculate error of Log(yx**2) |
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| 326 | |
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| 327 | """ |
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| 328 | # Check that the point on the graph is positive |
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| 329 | # within errors |
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| 330 | if (not (x - dx) > 0) or (not (y - dy) > 0): |
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| 331 | msg = "Transformation does not accept point" |
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| 332 | msg += " that are consistent with zero." |
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| 333 | raise ValueError, msg |
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| 334 | if (x > 0) and (y > 0): |
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| 335 | if (dx == None): |
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| 336 | dx = 0 |
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| 337 | if (dy == None): |
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| 338 | dy = 0 |
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| 339 | err = (2.0*dx/x)**2 + (dy/y)**2 |
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| 340 | else: |
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| 341 | raise ValueError, "cannot compute this error" |
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| 342 | return math.sqrt(math.fabs(err)) |
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| 343 | |
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| 344 | |
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| 345 | def errOneOverX(x, y=None, dx=None, dy=None): |
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| 346 | """ |
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| 347 | calculate error on 1/x |
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| 348 | |
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| 349 | """ |
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| 350 | if (x != 0): |
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| 351 | if dx == None: |
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| 352 | dx = 0 |
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| 353 | err = dx/x**2 |
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| 354 | else: |
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| 355 | raise ValueError, "Cannot compute this error" |
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| 356 | return math.fabs(err) |
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| 357 | |
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| 358 | |
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| 359 | def errOneOverSqrtX(x, y=None, dx=None, dy=None): |
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| 360 | """ |
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| 361 | Calculate error on 1/sqrt(x) |
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| 362 | |
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| 363 | """ |
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| 364 | if (x > 0): |
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| 365 | if dx == None: |
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| 366 | dx = 0 |
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| 367 | err = -1/2*math.pow(x, -3.0/2.0) * dx |
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| 368 | else: |
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| 369 | raise ValueError, "Cannot compute this error" |
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| 370 | return math.fabs(err) |
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| 371 | |
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| 372 | |
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| 373 | def errToLogYX4(x, y=None, dx=None, dy=None): |
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| 374 | """ |
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| 375 | error for ln(y*x^(4)) |
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| 376 | |
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| 377 | :param x: float value |
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| 378 | |
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| 379 | """ |
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| 380 | # Check that the point on the graph is positive |
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| 381 | # within errors |
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| 382 | if (not (x - dx) > 0) or (not (y - dy) > 0): |
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| 383 | msg = "Transformation does not accept point " |
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| 384 | msg += " that are consistent with zero." |
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| 385 | raise ValueError, msg |
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| 386 | if dx == None: |
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| 387 | dx = 0 |
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| 388 | if dy == None: |
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| 389 | dy = 0 |
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| 390 | err = math.sqrt((4.0 * dx/x)**2 + (dy/y)**2) |
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| 391 | return err |
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| 392 | |
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| 393 | |
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| 394 | def errToYX4(x, y=None, dx=None, dy=None): |
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| 395 | """ |
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| 396 | error for (y*x^(4)) |
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| 397 | |
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| 398 | :param x: float value |
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| 399 | |
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| 400 | """ |
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| 401 | # Check that the point on the graph is positive |
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| 402 | # within errors |
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| 403 | |
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| 404 | if dx == None: |
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| 405 | dx = 0 |
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| 406 | if dy == None: |
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| 407 | dy = 0 |
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| 408 | err = math.sqrt((dy * pow(x, 4))**2 + (4 * y * dx * math.pow(x, 3))**2) |
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| 409 | return err |
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