[6f4b71f] | 1 | import math |
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| 2 | |
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| 3 | def toX(x,y=None): |
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| 4 | """ |
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| 5 | This function is used to load value on Plottable.View |
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| 6 | @param x: Float value |
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| 7 | @return x, |
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| 8 | """ |
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| 9 | return x |
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| 10 | |
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| 11 | def toX_pos(x,y=None): |
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| 12 | """ |
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| 13 | This function is used to load value on Plottable.View |
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| 14 | @param x: Float value |
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| 15 | @return x, |
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| 16 | """ |
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| 17 | if not x>0: |
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| 18 | raise ValueError, "Transformation only accepts positive values." |
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| 19 | else: |
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| 20 | return x |
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| 21 | |
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| 22 | def toX2(x,y=None): |
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| 23 | """ |
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| 24 | This function is used to load value on Plottable.View |
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| 25 | Calculate x^(2) |
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| 26 | @param x: float value |
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| 27 | """ |
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| 28 | return x*x |
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| 29 | |
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| 30 | def fromX2(x,y=None): |
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| 31 | """ |
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| 32 | This function is used to load value on Plottable.View |
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| 33 | Calculate square root of x |
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| 34 | @param x: float value |
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| 35 | """ |
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| 36 | if not x >=0 : |
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| 37 | raise ValueError, "square root of a negative value " |
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| 38 | else: |
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| 39 | return math.sqrt(x) |
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| 40 | |
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| 41 | def toLogX(x,y=None): |
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| 42 | """ |
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| 43 | This function is used to load value on Plottable.View |
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| 44 | calculate log x |
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| 45 | @param x: float value |
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| 46 | """ |
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| 47 | if not x > 0: |
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| 48 | raise ValueError, "Log(x)of a negative value " |
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| 49 | else: |
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| 50 | return math.log(x) |
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| 51 | |
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| 52 | def toOneOverX(x,y=None): |
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| 53 | if x !=0: |
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| 54 | return 1/x |
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| 55 | else: |
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| 56 | raise ValueError,"cannot divide by zero" |
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| 57 | |
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| 58 | def toOneOverSqrtX(y , x=None): |
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| 59 | if y > 0: |
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| 60 | return 1/math.sqrt(y) |
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| 61 | else: |
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| 62 | raise ValueError,"transform.toOneOverSqrtX: cannot be computed" |
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| 63 | |
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| 64 | |
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| 65 | def toLogYX2(y,x): |
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| 66 | if y*(x**2) >0: |
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| 67 | return math.log(y*(x**2)) |
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| 68 | else: |
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| 69 | raise ValueError,"transform.toLogYX2: cannot be computed" |
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| 70 | |
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| 71 | |
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| 72 | def toLogYX4(y, x): |
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| 73 | if math.pow(x,4)*y > 0: |
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| 74 | return math.log(math.pow(x,4)*y) |
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| 75 | else: |
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| 76 | raise ValueError,"transform.toLogYX4: input error" |
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| 77 | |
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| 78 | def toLogXY(y,x): |
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| 79 | """ |
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| 80 | This function is used to load value on Plottable.View |
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| 81 | calculate log x |
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| 82 | @param x: float value |
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| 83 | """ |
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| 84 | if not x*y > 0: |
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| 85 | raise ValueError, "Log(X*Y)of a negative value " |
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| 86 | else: |
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| 87 | return math.log(x*y) |
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| 88 | |
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| 89 | |
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| 90 | |
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| 91 | def errToX(x,y=None,dx=None,dy=None): |
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| 92 | """ |
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| 93 | calculate error of x**2 |
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| 94 | @param x: float value |
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| 95 | @param dx: float value |
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| 96 | """ |
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| 97 | if dx==None: |
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| 98 | dx=0 |
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| 99 | return dx |
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| 100 | |
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| 101 | def errToX_pos(x,y=None,dx=None,dy=None): |
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| 102 | """ |
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| 103 | calculate error of x**2 |
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| 104 | @param x: float value |
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| 105 | @param dx: float value |
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| 106 | """ |
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| 107 | if dx==None: |
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| 108 | dx=0 |
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| 109 | |
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| 110 | # Check that the point on the graph is positive |
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| 111 | # within errors |
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| 112 | if not x-dx > 0: |
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| 113 | raise ValueError, "Transformation does not accept point that are consistent with zero." |
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| 114 | |
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| 115 | return dx |
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| 116 | |
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| 117 | |
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| 118 | def errToX2(x,y=None,dx=None,dy=None): |
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| 119 | """ |
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| 120 | calculate error of x**2 |
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| 121 | @param x: float value |
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| 122 | @param dx: float value |
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| 123 | """ |
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| 124 | if dx != None: |
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| 125 | err = 2*x*dx |
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| 126 | return math.fabs(err) |
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| 127 | else: |
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| 128 | return 0.0 |
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| 129 | |
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| 130 | def errFromX2(x,y=None,dx=None,dy=None): |
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| 131 | """ |
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| 132 | calculate error of sqrt(x) |
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| 133 | @param x: float value |
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| 134 | @param dx: float value |
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| 135 | """ |
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| 136 | if (x > 0): |
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| 137 | if(dx != None): |
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| 138 | err = dx/(2*math.sqrt(x)) |
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| 139 | else: |
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| 140 | err = 0 |
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| 141 | return math.fabs(err) |
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| 142 | else: |
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| 143 | raise ValueError, "transform.errFromX2: can't compute error of negative x" |
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| 144 | |
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| 145 | def errToLog10X(x,y=None,dx=None,dy=None): |
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| 146 | """ |
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| 147 | calculate error of Log(x) |
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| 148 | @param x: float value |
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| 149 | @param dx: float value |
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| 150 | """ |
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| 151 | if dx==None: |
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| 152 | dx = 0 |
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| 153 | |
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| 154 | # Check that the point on the graph is positive |
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| 155 | # within errors |
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| 156 | if not x-dx > 0: |
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| 157 | raise ValueError, "Transformation does not accept point that are consistent with zero." |
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| 158 | |
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| 159 | if x!=0: |
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| 160 | dx = dx/(x*math.log(10)) |
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| 161 | else: |
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| 162 | raise ValueError, "errToLogX: divide by zero" |
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| 163 | |
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| 164 | return dx |
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| 165 | |
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| 166 | def errToLogX(x,y=None,dx=None,dy=None): |
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| 167 | """ |
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| 168 | calculate error of Log(x) |
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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 | if dx==None: |
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| 173 | dx = 0 |
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| 174 | |
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| 175 | # Check that the point on the graph is positive |
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| 176 | # within errors |
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| 177 | if not x-dx > 0: |
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| 178 | raise ValueError, "Transformation does not accept point that are consistent with zero." |
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| 179 | |
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| 180 | if x!=0: |
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| 181 | dx = dx/x |
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| 182 | else: |
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| 183 | raise ValueError, "errToLogX: divide by zero" |
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| 184 | |
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| 185 | return dx |
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| 186 | |
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| 187 | |
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| 188 | |
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| 189 | def errToYX2(x, y, dx=None, dy=None): |
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| 190 | if dx==None: |
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| 191 | dx=0 |
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| 192 | if dy==None: |
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| 193 | dy=0 |
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| 194 | err =math.sqrt((2*x*y*dx)**2 +((x**2)*dy)**2) |
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| 195 | return err |
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| 196 | |
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| 197 | def errToLogXY(x,y,dx=None, dy=None): |
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| 198 | """ |
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| 199 | calculate error of Log(xy) |
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| 200 | """ |
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| 201 | # Check that the point on the graph is positive |
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| 202 | # within errors |
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| 203 | if (not x-dx > 0) or (not y-dy > 0): |
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| 204 | raise ValueError, "Transformation does not accept point that are consistent with zero." |
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| 205 | |
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| 206 | if (x!=0) and (y!=0): |
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| 207 | if dx == None: |
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| 208 | dx = 0 |
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| 209 | if dy == None: |
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| 210 | dy = 0 |
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| 211 | err = (dx/x)**2 + (dy/y)**2 |
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| 212 | else: |
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| 213 | raise ValueError, "cannot compute this error" |
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| 214 | |
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| 215 | return math.sqrt(math.fabs(err)) |
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| 216 | |
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| 217 | def errToLogYX2(x,y,dx=None, dy=None): |
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| 218 | """ |
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| 219 | calculate error of Log(yx**2) |
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| 220 | """ |
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| 221 | # Check that the point on the graph is positive |
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| 222 | # within errors |
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| 223 | if (not x-dx > 0) or (not y-dy > 0): |
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| 224 | raise ValueError, "Transformation does not accept point that are consistent with zero." |
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| 225 | |
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| 226 | if (x > 0) and (y > 0): |
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| 227 | if (dx == None): |
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| 228 | dx = 0 |
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| 229 | if (dy == None): |
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| 230 | dy = 0 |
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| 231 | err = (2.0*dx/x)**2 + (dy/y)**2 |
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| 232 | else: |
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| 233 | raise ValueError, "cannot compute this error" |
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| 234 | |
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| 235 | return math.sqrt(math.fabs(err)) |
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| 236 | |
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| 237 | def errOneOverX(x,y=None,dx=None, dy=None): |
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| 238 | """ |
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| 239 | calculate error on 1/x |
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| 240 | """ |
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| 241 | if (x != 0): |
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| 242 | if dx ==None: |
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| 243 | dx= 0 |
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| 244 | err = dx/x**2 |
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| 245 | else: |
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| 246 | raise ValueError,"Cannot compute this error" |
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| 247 | |
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| 248 | return math.fabs(err) |
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| 249 | |
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| 250 | def errOneOverSqrtX(x,y=None, dx=None,dy=None): |
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| 251 | """ |
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| 252 | Calculate error on 1/sqrt(x) |
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| 253 | """ |
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| 254 | if (x >0): |
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| 255 | if dx==None: |
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| 256 | dx =0 |
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| 257 | err= -1/2*math.pow(x, -3.0/2.0)* dx |
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| 258 | else: |
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| 259 | raise ValueError, "Cannot compute this error" |
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| 260 | |
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| 261 | return math.fabs(err) |
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| 262 | |
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| 263 | def errToLogYX4(x,y=None,dx=None,dy=None): |
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| 264 | """ |
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| 265 | error for ln(y*x^(4)) |
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| 266 | @param x: float value |
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| 267 | """ |
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| 268 | # Check that the point on the graph is positive |
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| 269 | # within errors |
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| 270 | if (not x-dx > 0) or (not y-dy > 0): |
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| 271 | raise ValueError, "Transformation does not accept point that are consistent with zero." |
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| 272 | |
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| 273 | if dx==None: |
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| 274 | dx=0 |
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| 275 | if dy==None: |
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| 276 | dy=0 |
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| 277 | err =math.sqrt((4.0*dx/x)**2 +(dy/y)**2) |
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| 278 | return err |
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| 279 | |
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| 280 | |
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