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 | def toYX2(y, x): |
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138 | """ |
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139 | """ |
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140 | return math.pow(x, 2) * y |
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141 | |
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142 | def toLogXY(y, x): |
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143 | """ |
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144 | This function is used to load value on Plottable.View |
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145 | calculate log x |
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146 | |
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147 | :param x: float value |
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148 | |
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149 | """ |
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150 | if not (x * y) > 0: |
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151 | raise ValueError, "Log(X*Y)of a negative value " |
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152 | else: |
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153 | return math.log(x * y) |
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154 | |
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155 | |
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156 | def errToX(x, y=None, dx=None, dy=None): |
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157 | """ |
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158 | calculate error of x**2 |
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159 | |
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160 | :param x: float value |
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161 | :param dx: float value |
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162 | |
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163 | """ |
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164 | if dx == None: |
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165 | dx = 0 |
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166 | return dx |
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167 | |
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168 | |
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169 | def errToX_pos(x, y=None, dx=None, dy=None): |
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170 | """ |
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171 | calculate error of x**2 |
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172 | |
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173 | :param x: float value |
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174 | :param dx: float value |
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175 | |
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176 | """ |
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177 | if dx == None: |
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178 | dx = 0 |
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179 | return dx |
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180 | |
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181 | |
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182 | def errToX2(x, y=None, dx=None, dy=None): |
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183 | """ |
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184 | calculate error of x**2 |
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185 | |
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186 | :param x: float value |
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187 | :param dx: float value |
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188 | |
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189 | """ |
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190 | if dx != None: |
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191 | err = 2 * x * dx |
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192 | return math.fabs(err) |
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193 | else: |
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194 | return 0.0 |
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195 | |
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196 | |
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197 | def errFromX2(x, y=None, dx=None, dy=None): |
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198 | """ |
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199 | calculate error of sqrt(x) |
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200 | |
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201 | :param x: float value |
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202 | :param dx: float value |
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203 | |
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204 | """ |
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205 | if x > 0: |
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206 | if dx != None: |
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207 | err = dx / (2 * math.sqrt(x)) |
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208 | else: |
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209 | err = 0 |
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210 | return math.fabs(err) |
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211 | else: |
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212 | msg = "transform.errFromX2: can't compute error of negative x" |
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213 | raise ValueError, msg |
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214 | |
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215 | |
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216 | def errToX4(x, y=None, dx=None, dy=None): |
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217 | """ |
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218 | calculate error of x**4 |
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219 | |
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220 | :param x: float value |
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221 | :param dx: float value |
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222 | |
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223 | """ |
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224 | if dx != None: |
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225 | err = 4 * math.pow(x, 3) * dx |
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226 | return math.fabs(err) |
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227 | else: |
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228 | return 0.0 |
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229 | |
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230 | |
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231 | def errFromX4(x, y=None, dx=None, dy=None): |
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232 | """ |
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233 | calculate error of x^1/4 |
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234 | |
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235 | :param x: float value |
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236 | :param dx: float value |
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237 | |
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238 | """ |
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239 | if x > 0: |
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240 | if dx != None: |
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241 | err = dx / (4 * math.pow(x, 3 / 4)) |
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242 | else: |
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243 | err = 0 |
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244 | return math.fabs(err) |
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245 | else: |
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246 | msg = "transform.errFromX4: can't compute error of negative x" |
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247 | raise ValueError, msg |
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248 | |
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249 | |
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250 | def errToLog10X(x, y=None, dx=None, dy=None): |
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251 | """ |
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252 | calculate error of Log(x) |
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253 | |
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254 | :param x: float value |
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255 | :param dx: float value |
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256 | |
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257 | """ |
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258 | if dx == None: |
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259 | dx = 0 |
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260 | |
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261 | # Check that the point on the graph is positive |
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262 | # within errors |
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263 | if not (x - dx) > 0: |
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264 | msg = "Transformation does not accept" |
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265 | msg += " point that are consistent with zero." |
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266 | raise ValueError, msg |
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267 | if x != 0: |
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268 | dx = dx / (x * math.log(10)) |
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269 | else: |
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270 | raise ValueError, "errToLogX: divide by zero" |
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271 | return dx |
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272 | |
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273 | |
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274 | def errToLogX(x, y=None, dx=None, dy=None): |
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275 | """ |
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276 | calculate error of Log(x) |
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277 | |
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278 | :param x: float value |
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279 | :param dx: float value |
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280 | |
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281 | """ |
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282 | if dx == None: |
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283 | dx = 0 |
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284 | |
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285 | # Check that the x point on the graph is zero |
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286 | if x != 0: |
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287 | dx = dx / x |
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288 | else: |
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289 | raise ValueError, "errToLogX: divide by zero" |
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290 | return dx |
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291 | |
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292 | |
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293 | def errToYX2(x, y, dx=None, dy=None): |
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294 | """ |
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295 | """ |
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296 | if dx == None: |
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297 | dx = 0 |
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298 | if dy == None: |
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299 | dy = 0 |
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300 | err = math.sqrt((2 * x * y * dx) ** 2 + ((x ** 2) * dy) ** 2) |
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301 | return err |
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302 | |
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303 | |
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304 | def errToLogXY(x, y, dx=None, dy=None): |
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305 | """ |
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306 | calculate error of Log(xy) |
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307 | |
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308 | """ |
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309 | # Check that the point on the graph is positive |
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310 | # within errors |
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311 | if not (x - dx) > 0 or not (y - dy) > 0: |
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312 | msg = "Transformation does not accept point " |
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313 | msg += " that are consistent with zero." |
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314 | raise ValueError, msg |
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315 | if x != 0 and y != 0: |
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316 | if dx == None: |
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317 | dx = 0 |
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318 | if dy == None: |
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319 | dy = 0 |
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320 | err = (dx / x) ** 2 + (dy / y) ** 2 |
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321 | else: |
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322 | raise ValueError, "cannot compute this error" |
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323 | |
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324 | return math.sqrt(math.fabs(err)) |
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325 | |
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326 | |
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327 | def errToLogYX2(x, y, dx=None, dy=None): |
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328 | """ |
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329 | calculate error of Log(yx**2) |
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330 | |
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331 | """ |
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332 | # Check that the point on the graph is positive |
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333 | # within errors |
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334 | if not (x - dx) > 0 or not (y - dy) > 0: |
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335 | msg = "Transformation does not accept point" |
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336 | msg += " that are consistent with zero." |
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337 | raise ValueError, msg |
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338 | if x > 0 and y > 0: |
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339 | if dx == None: |
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340 | dx = 0 |
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341 | if dy == None: |
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342 | dy = 0 |
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343 | err = (2.0 * dx / x) ** 2 + (dy / y) ** 2 |
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344 | else: |
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345 | raise ValueError, "cannot compute this error" |
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346 | return math.sqrt(math.fabs(err)) |
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347 | |
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348 | |
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349 | def errOneOverX(x, y=None, dx=None, dy=None): |
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350 | """ |
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351 | calculate error on 1/x |
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352 | |
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353 | """ |
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354 | if x != 0: |
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355 | if dx == None: |
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356 | dx = 0 |
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357 | err = dx / x ** 2 |
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358 | else: |
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359 | raise ValueError, "Cannot compute this error" |
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360 | return math.fabs(err) |
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361 | |
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362 | |
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363 | def errOneOverSqrtX(x, y=None, dx=None, dy=None): |
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364 | """ |
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365 | Calculate error on 1/sqrt(x) |
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366 | |
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367 | """ |
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368 | if x > 0: |
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369 | if dx == None: |
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370 | dx = 0 |
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371 | err = -1 / 2 * math.pow(x, -3.0 / 2.0) * dx |
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372 | else: |
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373 | raise ValueError, "Cannot compute this error" |
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374 | return math.fabs(err) |
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375 | |
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376 | |
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377 | def errToLogYX4(x, y=None, dx=None, dy=None): |
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378 | """ |
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379 | error for ln(y*x^(4)) |
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380 | |
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381 | :param x: float value |
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382 | |
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383 | """ |
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384 | # Check that the point on the graph is positive |
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385 | # within errors |
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386 | if (not (x - dx) > 0) or (not (y - dy) > 0): |
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387 | msg = "Transformation does not accept point " |
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388 | msg += " that are consistent with zero." |
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389 | raise ValueError, msg |
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390 | if dx == None: |
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391 | dx = 0 |
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392 | if dy == None: |
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393 | dy = 0 |
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394 | err = math.sqrt((4.0 * dx / x) ** 2 + (dy / y) ** 2) |
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395 | return err |
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396 | |
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397 | |
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398 | def errToYX4(x, y=None, dx=None, dy=None): |
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399 | """ |
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400 | error for (y*x^(4)) |
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401 | |
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402 | :param x: float value |
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403 | |
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404 | """ |
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405 | # Check that the point on the graph is positive |
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406 | # within errors |
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407 | |
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408 | if dx == None: |
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409 | dx = 0 |
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410 | if dy == None: |
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411 | dy = 0 |
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412 | err = math.sqrt((dy * pow(x, 4)) ** 2 + (4 * y * dx * math.pow(x, 3)) ** 2) |
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413 | return err |
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