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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