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50 | <h1>Source code for sas.data_util.uncertainty</h1><div class="highlight"><pre> |
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51 | <span class="sd">"""</span> |
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52 | |
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53 | <span class="sd">Uncertainty propagation class, and log() and exp() functions.</span> |
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54 | |
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55 | <span class="sd">Based on scalars or numpy vectors, this class allows you to store and </span> |
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56 | <span class="sd">manipulate values+uncertainties, with propagation of gaussian error for</span> |
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57 | <span class="sd">addition, subtraction, multiplication, division, power, exp() and log().</span> |
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58 | |
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59 | <span class="sd">Storage properties are determined by the numbers used to set the value</span> |
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60 | <span class="sd">and uncertainty. Be sure to use floating point uncertainty vectors </span> |
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61 | <span class="sd">for inplace operations since numpy does not do automatic type conversion.</span> |
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62 | <span class="sd">Normal operations can use mixed integer and floating point. In place</span> |
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63 | <span class="sd">operations (a *= b, etc.) create at most one extra copy for each operation.</span> |
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64 | <span class="sd">c = a*b by contrast uses four intermediate vectors, so shouldn't be used</span> |
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65 | <span class="sd">for huge arrays.</span> |
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66 | <span class="sd">"""</span> |
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67 | |
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68 | <span class="kn">from</span> <span class="nn">__future__</span> <span class="kn">import</span> <span class="n">division</span> |
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69 | |
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70 | <span class="kn">import</span> <span class="nn">numpy</span> |
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71 | <span class="kn">import</span> <span class="nn">err1d</span> |
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72 | <span class="kn">from</span> <span class="nn">formatnum</span> <span class="kn">import</span> <span class="n">format_uncertainty</span> |
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73 | |
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74 | <span class="n">__all__</span> <span class="o">=</span> <span class="p">[</span><span class="s">'Uncertainty'</span><span class="p">]</span> |
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75 | |
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76 | <span class="c"># TODO: rename to Measurement and add support for units?</span> |
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77 | <span class="c"># TODO: C implementation of *,/,**?</span> |
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78 | <div class="viewcode-block" id="Uncertainty"><a class="viewcode-back" href="../../../dev/api/sas.data_util.html#sas.data_util.uncertainty.Uncertainty">[docs]</a><span class="k">class</span> <span class="nc">Uncertainty</span><span class="p">(</span><span class="nb">object</span><span class="p">):</span> |
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79 | <span class="c"># Make standard deviation available</span> |
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80 | <span class="k">def</span> <span class="nf">_getdx</span><span class="p">(</span><span class="bp">self</span><span class="p">):</span> <span class="k">return</span> <span class="n">numpy</span><span class="o">.</span><span class="n">sqrt</span><span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">variance</span><span class="p">)</span> |
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81 | <span class="k">def</span> <span class="nf">_setdx</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span><span class="n">dx</span><span class="p">):</span> |
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82 | <span class="c"># Direct operation</span> |
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83 | <span class="c"># variance = dx**2</span> |
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84 | <span class="c"># Indirect operation to avoid temporaries</span> |
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85 | <span class="bp">self</span><span class="o">.</span><span class="n">variance</span><span class="p">[:]</span> <span class="o">=</span> <span class="n">dx</span> |
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86 | <span class="bp">self</span><span class="o">.</span><span class="n">variance</span> <span class="o">**=</span> <span class="mi">2</span> |
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87 | <span class="n">dx</span> <span class="o">=</span> <span class="nb">property</span><span class="p">(</span><span class="n">_getdx</span><span class="p">,</span><span class="n">_setdx</span><span class="p">,</span><span class="n">doc</span><span class="o">=</span><span class="s">"standard deviation"</span><span class="p">)</span> |
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88 | |
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89 | <span class="c"># Constructor</span> |
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90 | <span class="k">def</span> <span class="nf">__init__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">x</span><span class="p">,</span> <span class="n">variance</span><span class="o">=</span><span class="bp">None</span><span class="p">):</span> |
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91 | <span class="bp">self</span><span class="o">.</span><span class="n">x</span><span class="p">,</span> <span class="bp">self</span><span class="o">.</span><span class="n">variance</span> <span class="o">=</span> <span class="n">x</span><span class="p">,</span> <span class="n">variance</span> |
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92 | |
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93 | <span class="c"># Numpy array slicing operations</span> |
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94 | <span class="k">def</span> <span class="nf">__len__</span><span class="p">(</span><span class="bp">self</span><span class="p">):</span> |
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95 | <span class="k">return</span> <span class="nb">len</span><span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">x</span><span class="p">)</span> |
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96 | <span class="k">def</span> <span class="nf">__getitem__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span><span class="n">key</span><span class="p">):</span> |
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97 | <span class="k">return</span> <span class="n">Uncertainty</span><span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">x</span><span class="p">[</span><span class="n">key</span><span class="p">],</span><span class="bp">self</span><span class="o">.</span><span class="n">variance</span><span class="p">[</span><span class="n">key</span><span class="p">])</span> |
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98 | <span class="k">def</span> <span class="nf">__setitem__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span><span class="n">key</span><span class="p">,</span><span class="n">value</span><span class="p">):</span> |
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99 | <span class="bp">self</span><span class="o">.</span><span class="n">x</span><span class="p">[</span><span class="n">key</span><span class="p">]</span> <span class="o">=</span> <span class="n">value</span><span class="o">.</span><span class="n">x</span> |
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100 | <span class="bp">self</span><span class="o">.</span><span class="n">variance</span><span class="p">[</span><span class="n">key</span><span class="p">]</span> <span class="o">=</span> <span class="n">value</span><span class="o">.</span><span class="n">variance</span> |
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101 | <span class="k">def</span> <span class="nf">__delitem__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">key</span><span class="p">):</span> |
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102 | <span class="k">del</span> <span class="bp">self</span><span class="o">.</span><span class="n">x</span><span class="p">[</span><span class="n">key</span><span class="p">]</span> |
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103 | <span class="k">del</span> <span class="bp">self</span><span class="o">.</span><span class="n">variance</span><span class="p">[</span><span class="n">key</span><span class="p">]</span> |
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104 | <span class="c">#def __iter__(self): pass # Not sure we need iter</span> |
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105 | |
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106 | <span class="c"># Normal operations: may be of mixed type</span> |
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107 | <span class="k">def</span> <span class="nf">__add__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">other</span><span class="p">):</span> |
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108 | <span class="k">if</span> <span class="nb">isinstance</span><span class="p">(</span><span class="n">other</span><span class="p">,</span><span class="n">Uncertainty</span><span class="p">):</span> |
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109 | <span class="k">return</span> <span class="n">Uncertainty</span><span class="p">(</span><span class="o">*</span><span class="n">err1d</span><span class="o">.</span><span class="n">add</span><span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">x</span><span class="p">,</span><span class="bp">self</span><span class="o">.</span><span class="n">variance</span><span class="p">,</span><span class="n">other</span><span class="o">.</span><span class="n">x</span><span class="p">,</span><span class="n">other</span><span class="o">.</span><span class="n">variance</span><span class="p">))</span> |
---|
110 | <span class="k">else</span><span class="p">:</span> |
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111 | <span class="k">return</span> <span class="n">Uncertainty</span><span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">x</span><span class="o">+</span><span class="n">other</span><span class="p">,</span> <span class="bp">self</span><span class="o">.</span><span class="n">variance</span><span class="o">+</span><span class="mi">0</span><span class="p">)</span> <span class="c"># Force copy</span> |
---|
112 | <span class="k">def</span> <span class="nf">__sub__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">other</span><span class="p">):</span> |
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113 | <span class="k">if</span> <span class="nb">isinstance</span><span class="p">(</span><span class="n">other</span><span class="p">,</span><span class="n">Uncertainty</span><span class="p">):</span> |
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114 | <span class="k">return</span> <span class="n">Uncertainty</span><span class="p">(</span><span class="o">*</span><span class="n">err1d</span><span class="o">.</span><span class="n">sub</span><span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">x</span><span class="p">,</span><span class="bp">self</span><span class="o">.</span><span class="n">variance</span><span class="p">,</span><span class="n">other</span><span class="o">.</span><span class="n">x</span><span class="p">,</span><span class="n">other</span><span class="o">.</span><span class="n">variance</span><span class="p">))</span> |
---|
115 | <span class="k">else</span><span class="p">:</span> |
---|
116 | <span class="k">return</span> <span class="n">Uncertainty</span><span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">x</span><span class="o">-</span><span class="n">other</span><span class="p">,</span> <span class="bp">self</span><span class="o">.</span><span class="n">variance</span><span class="o">+</span><span class="mi">0</span><span class="p">)</span> <span class="c"># Force copy</span> |
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117 | <span class="k">def</span> <span class="nf">__mul__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">other</span><span class="p">):</span> |
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118 | <span class="k">if</span> <span class="nb">isinstance</span><span class="p">(</span><span class="n">other</span><span class="p">,</span><span class="n">Uncertainty</span><span class="p">):</span> |
---|
119 | <span class="k">return</span> <span class="n">Uncertainty</span><span class="p">(</span><span class="o">*</span><span class="n">err1d</span><span class="o">.</span><span class="n">mul</span><span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">x</span><span class="p">,</span><span class="bp">self</span><span class="o">.</span><span class="n">variance</span><span class="p">,</span><span class="n">other</span><span class="o">.</span><span class="n">x</span><span class="p">,</span><span class="n">other</span><span class="o">.</span><span class="n">variance</span><span class="p">))</span> |
---|
120 | <span class="k">else</span><span class="p">:</span> |
---|
121 | <span class="k">return</span> <span class="n">Uncertainty</span><span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">x</span><span class="o">*</span><span class="n">other</span><span class="p">,</span> <span class="bp">self</span><span class="o">.</span><span class="n">variance</span><span class="o">*</span><span class="n">other</span><span class="o">**</span><span class="mi">2</span><span class="p">)</span> |
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122 | <span class="k">def</span> <span class="nf">__truediv__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">other</span><span class="p">):</span> |
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123 | <span class="k">if</span> <span class="nb">isinstance</span><span class="p">(</span><span class="n">other</span><span class="p">,</span><span class="n">Uncertainty</span><span class="p">):</span> |
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124 | <span class="k">return</span> <span class="n">Uncertainty</span><span class="p">(</span><span class="o">*</span><span class="n">err1d</span><span class="o">.</span><span class="n">div</span><span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">x</span><span class="p">,</span><span class="bp">self</span><span class="o">.</span><span class="n">variance</span><span class="p">,</span><span class="n">other</span><span class="o">.</span><span class="n">x</span><span class="p">,</span><span class="n">other</span><span class="o">.</span><span class="n">variance</span><span class="p">))</span> |
---|
125 | <span class="k">else</span><span class="p">:</span> |
---|
126 | <span class="k">return</span> <span class="n">Uncertainty</span><span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">x</span><span class="o">/</span><span class="n">other</span><span class="p">,</span> <span class="bp">self</span><span class="o">.</span><span class="n">variance</span><span class="o">/</span><span class="n">other</span><span class="o">**</span><span class="mi">2</span><span class="p">)</span> |
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127 | <span class="k">def</span> <span class="nf">__pow__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">other</span><span class="p">):</span> |
---|
128 | <span class="k">if</span> <span class="nb">isinstance</span><span class="p">(</span><span class="n">other</span><span class="p">,</span><span class="n">Uncertainty</span><span class="p">):</span> |
---|
129 | <span class="c"># Haven't calcuated variance in (a+/-da) ** (b+/-db)</span> |
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130 | <span class="k">return</span> <span class="bp">NotImplemented</span> |
---|
131 | <span class="k">else</span><span class="p">:</span> |
---|
132 | <span class="k">return</span> <span class="n">Uncertainty</span><span class="p">(</span><span class="o">*</span><span class="n">err1d</span><span class="o">.</span><span class="n">pow</span><span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">x</span><span class="p">,</span><span class="bp">self</span><span class="o">.</span><span class="n">variance</span><span class="p">,</span><span class="n">other</span><span class="p">))</span> |
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133 | |
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134 | <span class="c"># Reverse operations</span> |
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135 | <span class="k">def</span> <span class="nf">__radd__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">other</span><span class="p">):</span> |
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136 | <span class="k">return</span> <span class="n">Uncertainty</span><span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">x</span><span class="o">+</span><span class="n">other</span><span class="p">,</span> <span class="bp">self</span><span class="o">.</span><span class="n">variance</span><span class="o">+</span><span class="mi">0</span><span class="p">)</span> <span class="c"># Force copy</span> |
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137 | <span class="k">def</span> <span class="nf">__rsub__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">other</span><span class="p">):</span> |
---|
138 | <span class="k">return</span> <span class="n">Uncertainty</span><span class="p">(</span><span class="n">other</span><span class="o">-</span><span class="bp">self</span><span class="o">.</span><span class="n">x</span><span class="p">,</span> <span class="bp">self</span><span class="o">.</span><span class="n">variance</span><span class="o">+</span><span class="mi">0</span><span class="p">)</span> |
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139 | <span class="k">def</span> <span class="nf">__rmul__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">other</span><span class="p">):</span> |
---|
140 | <span class="k">return</span> <span class="n">Uncertainty</span><span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">x</span><span class="o">*</span><span class="n">other</span><span class="p">,</span> <span class="bp">self</span><span class="o">.</span><span class="n">variance</span><span class="o">*</span><span class="n">other</span><span class="o">**</span><span class="mi">2</span><span class="p">)</span> |
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141 | <span class="k">def</span> <span class="nf">__rtruediv__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">other</span><span class="p">):</span> |
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142 | <span class="n">x</span><span class="p">,</span><span class="n">variance</span> <span class="o">=</span> <span class="n">err1d</span><span class="o">.</span><span class="n">pow</span><span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">x</span><span class="p">,</span><span class="bp">self</span><span class="o">.</span><span class="n">variance</span><span class="p">,</span><span class="o">-</span><span class="mi">1</span><span class="p">)</span> |
---|
143 | <span class="k">return</span> <span class="n">Uncertainty</span><span class="p">(</span><span class="n">x</span><span class="o">*</span><span class="n">other</span><span class="p">,</span><span class="n">variance</span><span class="o">*</span><span class="n">other</span><span class="o">**</span><span class="mi">2</span><span class="p">)</span> |
---|
144 | <span class="k">def</span> <span class="nf">__rpow__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">other</span><span class="p">):</span> <span class="k">return</span> <span class="bp">NotImplemented</span> |
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145 | |
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146 | <span class="c"># In-place operations: may be of mixed type</span> |
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147 | <span class="k">def</span> <span class="nf">__iadd__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">other</span><span class="p">):</span> |
---|
148 | <span class="k">if</span> <span class="nb">isinstance</span><span class="p">(</span><span class="n">other</span><span class="p">,</span><span class="n">Uncertainty</span><span class="p">):</span> |
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149 | <span class="bp">self</span><span class="o">.</span><span class="n">x</span><span class="p">,</span><span class="bp">self</span><span class="o">.</span><span class="n">variance</span> \ |
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150 | <span class="o">=</span> <span class="n">err1d</span><span class="o">.</span><span class="n">add_inplace</span><span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">x</span><span class="p">,</span><span class="bp">self</span><span class="o">.</span><span class="n">variance</span><span class="p">,</span><span class="n">other</span><span class="o">.</span><span class="n">x</span><span class="p">,</span><span class="n">other</span><span class="o">.</span><span class="n">variance</span><span class="p">)</span> |
---|
151 | <span class="k">else</span><span class="p">:</span> |
---|
152 | <span class="bp">self</span><span class="o">.</span><span class="n">x</span><span class="o">+=</span><span class="n">other</span> |
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153 | <span class="k">return</span> <span class="bp">self</span> |
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154 | <span class="k">def</span> <span class="nf">__isub__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">other</span><span class="p">):</span> |
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155 | <span class="k">if</span> <span class="nb">isinstance</span><span class="p">(</span><span class="n">other</span><span class="p">,</span><span class="n">Uncertainty</span><span class="p">):</span> |
---|
156 | <span class="bp">self</span><span class="o">.</span><span class="n">x</span><span class="p">,</span><span class="bp">self</span><span class="o">.</span><span class="n">variance</span> \ |
---|
157 | <span class="o">=</span> <span class="n">err1d</span><span class="o">.</span><span class="n">sub_inplace</span><span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">x</span><span class="p">,</span><span class="bp">self</span><span class="o">.</span><span class="n">variance</span><span class="p">,</span><span class="n">other</span><span class="o">.</span><span class="n">x</span><span class="p">,</span><span class="n">other</span><span class="o">.</span><span class="n">variance</span><span class="p">)</span> |
---|
158 | <span class="k">else</span><span class="p">:</span> |
---|
159 | <span class="bp">self</span><span class="o">.</span><span class="n">x</span><span class="o">-=</span><span class="n">other</span> |
---|
160 | <span class="k">return</span> <span class="bp">self</span> |
---|
161 | <span class="k">def</span> <span class="nf">__imul__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">other</span><span class="p">):</span> |
---|
162 | <span class="k">if</span> <span class="nb">isinstance</span><span class="p">(</span><span class="n">other</span><span class="p">,</span><span class="n">Uncertainty</span><span class="p">):</span> |
---|
163 | <span class="bp">self</span><span class="o">.</span><span class="n">x</span><span class="p">,</span> <span class="bp">self</span><span class="o">.</span><span class="n">variance</span> \ |
---|
164 | <span class="o">=</span> <span class="n">err1d</span><span class="o">.</span><span class="n">mul_inplace</span><span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">x</span><span class="p">,</span><span class="bp">self</span><span class="o">.</span><span class="n">variance</span><span class="p">,</span><span class="n">other</span><span class="o">.</span><span class="n">x</span><span class="p">,</span><span class="n">other</span><span class="o">.</span><span class="n">variance</span><span class="p">)</span> |
---|
165 | <span class="k">else</span><span class="p">:</span> |
---|
166 | <span class="bp">self</span><span class="o">.</span><span class="n">x</span> <span class="o">*=</span> <span class="n">other</span> |
---|
167 | <span class="bp">self</span><span class="o">.</span><span class="n">variance</span> <span class="o">*=</span> <span class="n">other</span><span class="o">**</span><span class="mi">2</span> |
---|
168 | <span class="k">return</span> <span class="bp">self</span> |
---|
169 | <span class="k">def</span> <span class="nf">__itruediv__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">other</span><span class="p">):</span> |
---|
170 | <span class="k">if</span> <span class="nb">isinstance</span><span class="p">(</span><span class="n">other</span><span class="p">,</span><span class="n">Uncertainty</span><span class="p">):</span> |
---|
171 | <span class="bp">self</span><span class="o">.</span><span class="n">x</span><span class="p">,</span><span class="bp">self</span><span class="o">.</span><span class="n">variance</span> \ |
---|
172 | <span class="o">=</span> <span class="n">err1d</span><span class="o">.</span><span class="n">div_inplace</span><span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">x</span><span class="p">,</span><span class="bp">self</span><span class="o">.</span><span class="n">variance</span><span class="p">,</span><span class="n">other</span><span class="o">.</span><span class="n">x</span><span class="p">,</span><span class="n">other</span><span class="o">.</span><span class="n">variance</span><span class="p">)</span> |
---|
173 | <span class="k">else</span><span class="p">:</span> |
---|
174 | <span class="bp">self</span><span class="o">.</span><span class="n">x</span> <span class="o">/=</span> <span class="n">other</span> |
---|
175 | <span class="bp">self</span><span class="o">.</span><span class="n">variance</span> <span class="o">/=</span> <span class="n">other</span><span class="o">**</span><span class="mi">2</span> |
---|
176 | <span class="k">return</span> <span class="bp">self</span> |
---|
177 | <span class="k">def</span> <span class="nf">__ipow__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">other</span><span class="p">):</span> |
---|
178 | <span class="k">if</span> <span class="nb">isinstance</span><span class="p">(</span><span class="n">other</span><span class="p">,</span><span class="n">Uncertainty</span><span class="p">):</span> |
---|
179 | <span class="c"># Haven't calcuated variance in (a+/-da) ** (b+/-db)</span> |
---|
180 | <span class="k">return</span> <span class="bp">NotImplemented</span> |
---|
181 | <span class="k">else</span><span class="p">:</span> |
---|
182 | <span class="bp">self</span><span class="o">.</span><span class="n">x</span><span class="p">,</span><span class="bp">self</span><span class="o">.</span><span class="n">variance</span> <span class="o">=</span> <span class="n">err1d</span><span class="o">.</span><span class="n">pow_inplace</span><span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">x</span><span class="p">,</span> <span class="bp">self</span><span class="o">.</span><span class="n">variance</span><span class="p">,</span> <span class="n">other</span><span class="p">)</span> |
---|
183 | <span class="k">return</span> <span class="bp">self</span> |
---|
184 | |
---|
185 | <span class="c"># Use true division instead of integer division</span> |
---|
186 | <span class="k">def</span> <span class="nf">__div__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">other</span><span class="p">):</span> <span class="k">return</span> <span class="bp">self</span><span class="o">.</span><span class="n">__truediv__</span><span class="p">(</span><span class="n">other</span><span class="p">)</span> |
---|
187 | <span class="k">def</span> <span class="nf">__rdiv__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">other</span><span class="p">):</span> <span class="k">return</span> <span class="bp">self</span><span class="o">.</span><span class="n">__rtruediv__</span><span class="p">(</span><span class="n">other</span><span class="p">)</span> |
---|
188 | <span class="k">def</span> <span class="nf">__idiv__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">other</span><span class="p">):</span> <span class="k">return</span> <span class="bp">self</span><span class="o">.</span><span class="n">__itruediv__</span><span class="p">(</span><span class="n">other</span><span class="p">)</span> |
---|
189 | |
---|
190 | |
---|
191 | <span class="c"># Unary ops</span> |
---|
192 | <span class="k">def</span> <span class="nf">__neg__</span><span class="p">(</span><span class="bp">self</span><span class="p">):</span> |
---|
193 | <span class="k">return</span> <span class="n">Uncertainty</span><span class="p">(</span><span class="o">-</span><span class="bp">self</span><span class="o">.</span><span class="n">x</span><span class="p">,</span><span class="bp">self</span><span class="o">.</span><span class="n">variance</span><span class="p">)</span> |
---|
194 | <span class="k">def</span> <span class="nf">__pos__</span><span class="p">(</span><span class="bp">self</span><span class="p">):</span> |
---|
195 | <span class="k">return</span> <span class="bp">self</span> |
---|
196 | <span class="k">def</span> <span class="nf">__abs__</span><span class="p">(</span><span class="bp">self</span><span class="p">):</span> |
---|
197 | <span class="k">return</span> <span class="n">Uncertainty</span><span class="p">(</span><span class="n">numpy</span><span class="o">.</span><span class="n">abs</span><span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">x</span><span class="p">),</span><span class="bp">self</span><span class="o">.</span><span class="n">variance</span><span class="p">)</span> |
---|
198 | |
---|
199 | <span class="k">def</span> <span class="nf">__str__</span><span class="p">(</span><span class="bp">self</span><span class="p">):</span> |
---|
200 | <span class="c">#return str(self.x)+" +/- "+str(numpy.sqrt(self.variance))</span> |
---|
201 | <span class="k">if</span> <span class="n">numpy</span><span class="o">.</span><span class="n">isscalar</span><span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">x</span><span class="p">):</span> |
---|
202 | <span class="k">return</span> <span class="n">format_uncertainty</span><span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">x</span><span class="p">,</span><span class="n">numpy</span><span class="o">.</span><span class="n">sqrt</span><span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">variance</span><span class="p">))</span> |
---|
203 | <span class="k">else</span><span class="p">:</span> |
---|
204 | <span class="k">return</span> <span class="p">[</span><span class="n">format_uncertainty</span><span class="p">(</span><span class="n">v</span><span class="p">,</span><span class="n">dv</span><span class="p">)</span> |
---|
205 | <span class="k">for</span> <span class="n">v</span><span class="p">,</span><span class="n">dv</span> <span class="ow">in</span> <span class="nb">zip</span><span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">x</span><span class="p">,</span><span class="n">numpy</span><span class="o">.</span><span class="n">sqrt</span><span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">variance</span><span class="p">))]</span> |
---|
206 | <span class="k">def</span> <span class="nf">__repr__</span><span class="p">(</span><span class="bp">self</span><span class="p">):</span> |
---|
207 | <span class="k">return</span> <span class="s">"Uncertainty(</span><span class="si">%s</span><span class="s">,</span><span class="si">%s</span><span class="s">)"</span><span class="o">%</span><span class="p">(</span><span class="nb">str</span><span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">x</span><span class="p">),</span><span class="nb">str</span><span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">variance</span><span class="p">))</span> |
---|
208 | |
---|
209 | <span class="c"># Not implemented</span> |
---|
210 | <span class="k">def</span> <span class="nf">__floordiv__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">other</span><span class="p">):</span> <span class="k">return</span> <span class="bp">NotImplemented</span> |
---|
211 | <span class="k">def</span> <span class="nf">__mod__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">other</span><span class="p">):</span> <span class="k">return</span> <span class="bp">NotImplemented</span> |
---|
212 | <span class="k">def</span> <span class="nf">__divmod__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">other</span><span class="p">):</span> <span class="k">return</span> <span class="bp">NotImplemented</span> |
---|
213 | <span class="k">def</span> <span class="nf">__mod__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">other</span><span class="p">):</span> <span class="k">return</span> <span class="bp">NotImplemented</span> |
---|
214 | <span class="k">def</span> <span class="nf">__lshift__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">other</span><span class="p">):</span> <span class="k">return</span> <span class="bp">NotImplemented</span> |
---|
215 | <span class="k">def</span> <span class="nf">__rshift__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">other</span><span class="p">):</span> <span class="k">return</span> <span class="bp">NotImplemented</span> |
---|
216 | <span class="k">def</span> <span class="nf">__and__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">other</span><span class="p">):</span> <span class="k">return</span> <span class="bp">NotImplemented</span> |
---|
217 | <span class="k">def</span> <span class="nf">__xor__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">other</span><span class="p">):</span> <span class="k">return</span> <span class="bp">NotImplemented</span> |
---|
218 | <span class="k">def</span> <span class="nf">__or__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">other</span><span class="p">):</span> <span class="k">return</span> <span class="bp">NotImplemented</span> |
---|
219 | |
---|
220 | <span class="k">def</span> <span class="nf">__rfloordiv__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">other</span><span class="p">):</span> <span class="k">return</span> <span class="bp">NotImplemented</span> |
---|
221 | <span class="k">def</span> <span class="nf">__rmod__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">other</span><span class="p">):</span> <span class="k">return</span> <span class="bp">NotImplemented</span> |
---|
222 | <span class="k">def</span> <span class="nf">__rdivmod__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">other</span><span class="p">):</span> <span class="k">return</span> <span class="bp">NotImplemented</span> |
---|
223 | <span class="k">def</span> <span class="nf">__rmod__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">other</span><span class="p">):</span> <span class="k">return</span> <span class="bp">NotImplemented</span> |
---|
224 | <span class="k">def</span> <span class="nf">__rlshift__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">other</span><span class="p">):</span> <span class="k">return</span> <span class="bp">NotImplemented</span> |
---|
225 | <span class="k">def</span> <span class="nf">__rrshift__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">other</span><span class="p">):</span> <span class="k">return</span> <span class="bp">NotImplemented</span> |
---|
226 | <span class="k">def</span> <span class="nf">__rand__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">other</span><span class="p">):</span> <span class="k">return</span> <span class="bp">NotImplemented</span> |
---|
227 | <span class="k">def</span> <span class="nf">__rxor__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">other</span><span class="p">):</span> <span class="k">return</span> <span class="bp">NotImplemented</span> |
---|
228 | <span class="k">def</span> <span class="nf">__ror__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">other</span><span class="p">):</span> <span class="k">return</span> <span class="bp">NotImplemented</span> |
---|
229 | |
---|
230 | <span class="k">def</span> <span class="nf">__ifloordiv__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">other</span><span class="p">):</span> <span class="k">return</span> <span class="bp">NotImplemented</span> |
---|
231 | <span class="k">def</span> <span class="nf">__imod__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">other</span><span class="p">):</span> <span class="k">return</span> <span class="bp">NotImplemented</span> |
---|
232 | <span class="k">def</span> <span class="nf">__idivmod__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">other</span><span class="p">):</span> <span class="k">return</span> <span class="bp">NotImplemented</span> |
---|
233 | <span class="k">def</span> <span class="nf">__imod__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">other</span><span class="p">):</span> <span class="k">return</span> <span class="bp">NotImplemented</span> |
---|
234 | <span class="k">def</span> <span class="nf">__ilshift__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">other</span><span class="p">):</span> <span class="k">return</span> <span class="bp">NotImplemented</span> |
---|
235 | <span class="k">def</span> <span class="nf">__irshift__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">other</span><span class="p">):</span> <span class="k">return</span> <span class="bp">NotImplemented</span> |
---|
236 | <span class="k">def</span> <span class="nf">__iand__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">other</span><span class="p">):</span> <span class="k">return</span> <span class="bp">NotImplemented</span> |
---|
237 | <span class="k">def</span> <span class="nf">__ixor__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">other</span><span class="p">):</span> <span class="k">return</span> <span class="bp">NotImplemented</span> |
---|
238 | <span class="k">def</span> <span class="nf">__ior__</span><span class="p">(</span><span class="bp">self</span><span class="p">,</span> <span class="n">other</span><span class="p">):</span> <span class="k">return</span> <span class="bp">NotImplemented</span> |
---|
239 | |
---|
240 | <span class="k">def</span> <span class="nf">__invert__</span><span class="p">(</span><span class="bp">self</span><span class="p">):</span> <span class="k">return</span> <span class="n">NotImplmented</span> <span class="c"># For ~x</span> |
---|
241 | <span class="k">def</span> <span class="nf">__complex__</span><span class="p">(</span><span class="bp">self</span><span class="p">):</span> <span class="k">return</span> <span class="n">NotImplmented</span> |
---|
242 | <span class="k">def</span> <span class="nf">__int__</span><span class="p">(</span><span class="bp">self</span><span class="p">):</span> <span class="k">return</span> <span class="n">NotImplmented</span> |
---|
243 | <span class="k">def</span> <span class="nf">__long__</span><span class="p">(</span><span class="bp">self</span><span class="p">):</span> <span class="k">return</span> <span class="n">NotImplmented</span> |
---|
244 | <span class="k">def</span> <span class="nf">__float__</span><span class="p">(</span><span class="bp">self</span><span class="p">):</span> <span class="k">return</span> <span class="n">NotImplmented</span> |
---|
245 | <span class="k">def</span> <span class="nf">__oct__</span><span class="p">(</span><span class="bp">self</span><span class="p">):</span> <span class="k">return</span> <span class="n">NotImplmented</span> |
---|
246 | <span class="k">def</span> <span class="nf">__hex__</span><span class="p">(</span><span class="bp">self</span><span class="p">):</span> <span class="k">return</span> <span class="n">NotImplmented</span> |
---|
247 | <span class="k">def</span> <span class="nf">__index__</span><span class="p">(</span><span class="bp">self</span><span class="p">):</span> <span class="k">return</span> <span class="n">NotImplmented</span> |
---|
248 | <span class="k">def</span> <span class="nf">__coerce__</span><span class="p">(</span><span class="bp">self</span><span class="p">):</span> <span class="k">return</span> <span class="n">NotImplmented</span> |
---|
249 | |
---|
250 | <div class="viewcode-block" id="Uncertainty.log"><a class="viewcode-back" href="../../../dev/api/sas.data_util.html#sas.data_util.uncertainty.Uncertainty.log">[docs]</a> <span class="k">def</span> <span class="nf">log</span><span class="p">(</span><span class="bp">self</span><span class="p">):</span> |
---|
251 | <span class="k">return</span> <span class="n">Uncertainty</span><span class="p">(</span><span class="o">*</span><span class="n">err1d</span><span class="o">.</span><span class="n">log</span><span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">x</span><span class="p">,</span><span class="bp">self</span><span class="o">.</span><span class="n">variance</span><span class="p">))</span> |
---|
252 | </div> |
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253 | <div class="viewcode-block" id="Uncertainty.exp"><a class="viewcode-back" href="../../../dev/api/sas.data_util.html#sas.data_util.uncertainty.Uncertainty.exp">[docs]</a> <span class="k">def</span> <span class="nf">exp</span><span class="p">(</span><span class="bp">self</span><span class="p">):</span> |
---|
254 | <span class="k">return</span> <span class="n">Uncertainty</span><span class="p">(</span><span class="o">*</span><span class="n">err1d</span><span class="o">.</span><span class="n">exp</span><span class="p">(</span><span class="bp">self</span><span class="o">.</span><span class="n">x</span><span class="p">,</span><span class="bp">self</span><span class="o">.</span><span class="n">variance</span><span class="p">))</span> |
---|
255 | </div></div> |
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256 | <span class="k">def</span> <span class="nf">log</span><span class="p">(</span><span class="n">val</span><span class="p">):</span> <span class="k">return</span> <span class="bp">self</span><span class="o">.</span><span class="n">log</span><span class="p">()</span> |
---|
257 | <span class="k">def</span> <span class="nf">exp</span><span class="p">(</span><span class="n">val</span><span class="p">):</span> <span class="k">return</span> <span class="bp">self</span><span class="o">.</span><span class="n">exp</span><span class="p">()</span> |
---|
258 | |
---|
259 | <span class="k">def</span> <span class="nf">test</span><span class="p">():</span> |
---|
260 | <span class="n">a</span> <span class="o">=</span> <span class="n">Uncertainty</span><span class="p">(</span><span class="mi">5</span><span class="p">,</span><span class="mi">3</span><span class="p">)</span> |
---|
261 | <span class="n">b</span> <span class="o">=</span> <span class="n">Uncertainty</span><span class="p">(</span><span class="mi">4</span><span class="p">,</span><span class="mi">2</span><span class="p">)</span> |
---|
262 | |
---|
263 | <span class="c"># Scalar operations</span> |
---|
264 | <span class="n">z</span> <span class="o">=</span> <span class="n">a</span><span class="o">+</span><span class="mi">4</span> |
---|
265 | <span class="k">assert</span> <span class="n">z</span><span class="o">.</span><span class="n">x</span> <span class="o">==</span> <span class="mi">5</span><span class="o">+</span><span class="mi">4</span> <span class="ow">and</span> <span class="n">z</span><span class="o">.</span><span class="n">variance</span> <span class="o">==</span> <span class="mi">3</span> |
---|
266 | <span class="n">z</span> <span class="o">=</span> <span class="n">a</span><span class="o">-</span><span class="mi">4</span> |
---|
267 | <span class="k">assert</span> <span class="n">z</span><span class="o">.</span><span class="n">x</span> <span class="o">==</span> <span class="mi">5</span><span class="o">-</span><span class="mi">4</span> <span class="ow">and</span> <span class="n">z</span><span class="o">.</span><span class="n">variance</span> <span class="o">==</span> <span class="mi">3</span> |
---|
268 | <span class="n">z</span> <span class="o">=</span> <span class="n">a</span><span class="o">*</span><span class="mi">4</span> |
---|
269 | <span class="k">assert</span> <span class="n">z</span><span class="o">.</span><span class="n">x</span> <span class="o">==</span> <span class="mi">5</span><span class="o">*</span><span class="mi">4</span> <span class="ow">and</span> <span class="n">z</span><span class="o">.</span><span class="n">variance</span> <span class="o">==</span> <span class="mi">3</span><span class="o">*</span><span class="mi">4</span><span class="o">**</span><span class="mi">2</span> |
---|
270 | <span class="n">z</span> <span class="o">=</span> <span class="n">a</span><span class="o">/</span><span class="mi">4</span> |
---|
271 | <span class="k">assert</span> <span class="n">z</span><span class="o">.</span><span class="n">x</span> <span class="o">==</span> <span class="mf">5.</span><span class="o">/</span><span class="mi">4</span> <span class="ow">and</span> <span class="n">z</span><span class="o">.</span><span class="n">variance</span> <span class="o">==</span> <span class="mf">3.</span><span class="o">/</span><span class="mi">4</span><span class="o">**</span><span class="mi">2</span> |
---|
272 | |
---|
273 | <span class="c"># Reverse scalar operations</span> |
---|
274 | <span class="n">z</span> <span class="o">=</span> <span class="mi">4</span><span class="o">+</span><span class="n">a</span> |
---|
275 | <span class="k">assert</span> <span class="n">z</span><span class="o">.</span><span class="n">x</span> <span class="o">==</span> <span class="mi">4</span><span class="o">+</span><span class="mi">5</span> <span class="ow">and</span> <span class="n">z</span><span class="o">.</span><span class="n">variance</span> <span class="o">==</span> <span class="mi">3</span> |
---|
276 | <span class="n">z</span> <span class="o">=</span> <span class="mi">4</span><span class="o">-</span><span class="n">a</span> |
---|
277 | <span class="k">assert</span> <span class="n">z</span><span class="o">.</span><span class="n">x</span> <span class="o">==</span> <span class="mi">4</span><span class="o">-</span><span class="mi">5</span> <span class="ow">and</span> <span class="n">z</span><span class="o">.</span><span class="n">variance</span> <span class="o">==</span> <span class="mi">3</span> |
---|
278 | <span class="n">z</span> <span class="o">=</span> <span class="mi">4</span><span class="o">*</span><span class="n">a</span> |
---|
279 | <span class="k">assert</span> <span class="n">z</span><span class="o">.</span><span class="n">x</span> <span class="o">==</span> <span class="mi">4</span><span class="o">*</span><span class="mi">5</span> <span class="ow">and</span> <span class="n">z</span><span class="o">.</span><span class="n">variance</span> <span class="o">==</span> <span class="mi">3</span><span class="o">*</span><span class="mi">4</span><span class="o">**</span><span class="mi">2</span> |
---|
280 | <span class="n">z</span> <span class="o">=</span> <span class="mi">4</span><span class="o">/</span><span class="n">a</span> |
---|
281 | <span class="k">assert</span> <span class="n">z</span><span class="o">.</span><span class="n">x</span> <span class="o">==</span> <span class="mf">4.</span><span class="o">/</span><span class="mi">5</span> <span class="ow">and</span> <span class="nb">abs</span><span class="p">(</span><span class="n">z</span><span class="o">.</span><span class="n">variance</span> <span class="o">-</span> <span class="mf">3.</span><span class="o">/</span><span class="mi">5</span><span class="o">**</span><span class="mi">4</span> <span class="o">*</span> <span class="mi">4</span><span class="o">**</span><span class="mi">2</span><span class="p">)</span> <span class="o"><</span> <span class="mf">1e-15</span> |
---|
282 | |
---|
283 | <span class="c"># Power operations</span> |
---|
284 | <span class="n">z</span> <span class="o">=</span> <span class="n">a</span><span class="o">**</span><span class="mi">2</span> |
---|
285 | <span class="k">assert</span> <span class="n">z</span><span class="o">.</span><span class="n">x</span> <span class="o">==</span> <span class="mi">5</span><span class="o">**</span><span class="mi">2</span> <span class="ow">and</span> <span class="n">z</span><span class="o">.</span><span class="n">variance</span> <span class="o">==</span> <span class="mi">4</span><span class="o">*</span><span class="mi">3</span><span class="o">*</span><span class="mi">5</span><span class="o">**</span><span class="mi">2</span> |
---|
286 | <span class="n">z</span> <span class="o">=</span> <span class="n">a</span><span class="o">**</span><span class="mi">1</span> |
---|
287 | <span class="k">assert</span> <span class="n">z</span><span class="o">.</span><span class="n">x</span> <span class="o">==</span> <span class="mi">5</span><span class="o">**</span><span class="mi">1</span> <span class="ow">and</span> <span class="n">z</span><span class="o">.</span><span class="n">variance</span> <span class="o">==</span> <span class="mi">3</span> |
---|
288 | <span class="n">z</span> <span class="o">=</span> <span class="n">a</span><span class="o">**</span><span class="mi">0</span> |
---|
289 | <span class="k">assert</span> <span class="n">z</span><span class="o">.</span><span class="n">x</span> <span class="o">==</span> <span class="mi">5</span><span class="o">**</span><span class="mi">0</span> <span class="ow">and</span> <span class="n">z</span><span class="o">.</span><span class="n">variance</span> <span class="o">==</span> <span class="mi">0</span> |
---|
290 | <span class="n">z</span> <span class="o">=</span> <span class="n">a</span><span class="o">**-</span><span class="mi">1</span> |
---|
291 | <span class="k">assert</span> <span class="n">z</span><span class="o">.</span><span class="n">x</span> <span class="o">==</span> <span class="mi">5</span><span class="o">**-</span><span class="mi">1</span> <span class="ow">and</span> <span class="nb">abs</span><span class="p">(</span><span class="n">z</span><span class="o">.</span><span class="n">variance</span> <span class="o">-</span> <span class="mf">3.</span><span class="o">/</span><span class="mi">5</span><span class="o">**</span><span class="mi">4</span><span class="p">)</span> <span class="o"><</span> <span class="mf">1e-15</span> |
---|
292 | |
---|
293 | <span class="c"># Binary operations</span> |
---|
294 | <span class="n">z</span> <span class="o">=</span> <span class="n">a</span><span class="o">+</span><span class="n">b</span> |
---|
295 | <span class="k">assert</span> <span class="n">z</span><span class="o">.</span><span class="n">x</span> <span class="o">==</span> <span class="mi">5</span><span class="o">+</span><span class="mi">4</span> <span class="ow">and</span> <span class="n">z</span><span class="o">.</span><span class="n">variance</span> <span class="o">==</span> <span class="mi">3</span><span class="o">+</span><span class="mi">2</span> |
---|
296 | <span class="n">z</span> <span class="o">=</span> <span class="n">a</span><span class="o">-</span><span class="n">b</span> |
---|
297 | <span class="k">assert</span> <span class="n">z</span><span class="o">.</span><span class="n">x</span> <span class="o">==</span> <span class="mi">5</span><span class="o">-</span><span class="mi">4</span> <span class="ow">and</span> <span class="n">z</span><span class="o">.</span><span class="n">variance</span> <span class="o">==</span> <span class="mi">3</span><span class="o">+</span><span class="mi">2</span> |
---|
298 | <span class="n">z</span> <span class="o">=</span> <span class="n">a</span><span class="o">*</span><span class="n">b</span> |
---|
299 | <span class="k">assert</span> <span class="n">z</span><span class="o">.</span><span class="n">x</span> <span class="o">==</span> <span class="mi">5</span><span class="o">*</span><span class="mi">4</span> <span class="ow">and</span> <span class="n">z</span><span class="o">.</span><span class="n">variance</span> <span class="o">==</span> <span class="p">(</span><span class="mi">5</span><span class="o">**</span><span class="mi">2</span><span class="o">*</span><span class="mi">2</span> <span class="o">+</span> <span class="mi">4</span><span class="o">**</span><span class="mi">2</span><span class="o">*</span><span class="mi">3</span><span class="p">)</span> |
---|
300 | <span class="n">z</span> <span class="o">=</span> <span class="n">a</span><span class="o">/</span><span class="n">b</span> |
---|
301 | <span class="k">assert</span> <span class="n">z</span><span class="o">.</span><span class="n">x</span> <span class="o">==</span> <span class="mf">5.</span><span class="o">/</span><span class="mi">4</span> <span class="ow">and</span> <span class="nb">abs</span><span class="p">(</span><span class="n">z</span><span class="o">.</span><span class="n">variance</span> <span class="o">-</span> <span class="p">(</span><span class="mf">3.</span><span class="o">/</span><span class="mi">5</span><span class="o">**</span><span class="mi">2</span> <span class="o">+</span> <span class="mf">2.</span><span class="o">/</span><span class="mi">4</span><span class="o">**</span><span class="mi">2</span><span class="p">)</span><span class="o">*</span><span class="p">(</span><span class="mf">5.</span><span class="o">/</span><span class="mi">4</span><span class="p">)</span><span class="o">**</span><span class="mi">2</span><span class="p">)</span> <span class="o"><</span> <span class="mf">1e-15</span> |
---|
302 | |
---|
303 | <span class="c"># ===== Inplace operations ===== </span> |
---|
304 | <span class="c"># Scalar operations</span> |
---|
305 | <span class="n">y</span> <span class="o">=</span> <span class="n">a</span><span class="o">+</span><span class="mi">0</span><span class="p">;</span> <span class="n">y</span> <span class="o">+=</span> <span class="mi">4</span> |
---|
306 | <span class="n">z</span> <span class="o">=</span> <span class="n">a</span><span class="o">+</span><span class="mi">4</span> |
---|
307 | <span class="k">assert</span> <span class="n">y</span><span class="o">.</span><span class="n">x</span> <span class="o">==</span> <span class="n">z</span><span class="o">.</span><span class="n">x</span> <span class="ow">and</span> <span class="nb">abs</span><span class="p">(</span><span class="n">y</span><span class="o">.</span><span class="n">variance</span><span class="o">-</span><span class="n">z</span><span class="o">.</span><span class="n">variance</span><span class="p">)</span> <span class="o"><</span> <span class="mf">1e-15</span> |
---|
308 | <span class="n">y</span> <span class="o">=</span> <span class="n">a</span><span class="o">+</span><span class="mi">0</span><span class="p">;</span> <span class="n">y</span> <span class="o">-=</span> <span class="mi">4</span> |
---|
309 | <span class="n">z</span> <span class="o">=</span> <span class="n">a</span><span class="o">-</span><span class="mi">4</span> |
---|
310 | <span class="k">assert</span> <span class="n">y</span><span class="o">.</span><span class="n">x</span> <span class="o">==</span> <span class="n">z</span><span class="o">.</span><span class="n">x</span> <span class="ow">and</span> <span class="nb">abs</span><span class="p">(</span><span class="n">y</span><span class="o">.</span><span class="n">variance</span><span class="o">-</span><span class="n">z</span><span class="o">.</span><span class="n">variance</span><span class="p">)</span> <span class="o"><</span> <span class="mf">1e-15</span> |
---|
311 | <span class="n">y</span> <span class="o">=</span> <span class="n">a</span><span class="o">+</span><span class="mi">0</span><span class="p">;</span> <span class="n">y</span> <span class="o">*=</span> <span class="mi">4</span> |
---|
312 | <span class="n">z</span> <span class="o">=</span> <span class="n">a</span><span class="o">*</span><span class="mi">4</span> |
---|
313 | <span class="k">assert</span> <span class="n">y</span><span class="o">.</span><span class="n">x</span> <span class="o">==</span> <span class="n">z</span><span class="o">.</span><span class="n">x</span> <span class="ow">and</span> <span class="nb">abs</span><span class="p">(</span><span class="n">y</span><span class="o">.</span><span class="n">variance</span><span class="o">-</span><span class="n">z</span><span class="o">.</span><span class="n">variance</span><span class="p">)</span> <span class="o"><</span> <span class="mf">1e-15</span> |
---|
314 | <span class="n">y</span> <span class="o">=</span> <span class="n">a</span><span class="o">+</span><span class="mi">0</span><span class="p">;</span> <span class="n">y</span> <span class="o">/=</span> <span class="mi">4</span> |
---|
315 | <span class="n">z</span> <span class="o">=</span> <span class="n">a</span><span class="o">/</span><span class="mi">4</span> |
---|
316 | <span class="k">assert</span> <span class="n">y</span><span class="o">.</span><span class="n">x</span> <span class="o">==</span> <span class="n">z</span><span class="o">.</span><span class="n">x</span> <span class="ow">and</span> <span class="nb">abs</span><span class="p">(</span><span class="n">y</span><span class="o">.</span><span class="n">variance</span><span class="o">-</span><span class="n">z</span><span class="o">.</span><span class="n">variance</span><span class="p">)</span> <span class="o"><</span> <span class="mf">1e-15</span> |
---|
317 | |
---|
318 | <span class="c"># Power operations</span> |
---|
319 | <span class="n">y</span> <span class="o">=</span> <span class="n">a</span><span class="o">+</span><span class="mi">0</span><span class="p">;</span> <span class="n">y</span> <span class="o">**=</span> <span class="mi">4</span> |
---|
320 | <span class="n">z</span> <span class="o">=</span> <span class="n">a</span><span class="o">**</span><span class="mi">4</span> |
---|
321 | <span class="k">assert</span> <span class="n">y</span><span class="o">.</span><span class="n">x</span> <span class="o">==</span> <span class="n">z</span><span class="o">.</span><span class="n">x</span> <span class="ow">and</span> <span class="nb">abs</span><span class="p">(</span><span class="n">y</span><span class="o">.</span><span class="n">variance</span><span class="o">-</span><span class="n">z</span><span class="o">.</span><span class="n">variance</span><span class="p">)</span> <span class="o"><</span> <span class="mf">1e-15</span> |
---|
322 | |
---|
323 | <span class="c"># Binary operations</span> |
---|
324 | <span class="n">y</span> <span class="o">=</span> <span class="n">a</span><span class="o">+</span><span class="mi">0</span><span class="p">;</span> <span class="n">y</span> <span class="o">+=</span> <span class="n">b</span> |
---|
325 | <span class="n">z</span> <span class="o">=</span> <span class="n">a</span><span class="o">+</span><span class="n">b</span> |
---|
326 | <span class="k">assert</span> <span class="n">y</span><span class="o">.</span><span class="n">x</span> <span class="o">==</span> <span class="n">z</span><span class="o">.</span><span class="n">x</span> <span class="ow">and</span> <span class="nb">abs</span><span class="p">(</span><span class="n">y</span><span class="o">.</span><span class="n">variance</span><span class="o">-</span><span class="n">z</span><span class="o">.</span><span class="n">variance</span><span class="p">)</span> <span class="o"><</span> <span class="mf">1e-15</span> |
---|
327 | <span class="n">y</span> <span class="o">=</span> <span class="n">a</span><span class="o">+</span><span class="mi">0</span><span class="p">;</span> <span class="n">y</span> <span class="o">-=</span> <span class="n">b</span> |
---|
328 | <span class="n">z</span> <span class="o">=</span> <span class="n">a</span><span class="o">-</span><span class="n">b</span> |
---|
329 | <span class="k">assert</span> <span class="n">y</span><span class="o">.</span><span class="n">x</span> <span class="o">==</span> <span class="n">z</span><span class="o">.</span><span class="n">x</span> <span class="ow">and</span> <span class="nb">abs</span><span class="p">(</span><span class="n">y</span><span class="o">.</span><span class="n">variance</span><span class="o">-</span><span class="n">z</span><span class="o">.</span><span class="n">variance</span><span class="p">)</span> <span class="o"><</span> <span class="mf">1e-15</span> |
---|
330 | <span class="n">y</span> <span class="o">=</span> <span class="n">a</span><span class="o">+</span><span class="mi">0</span><span class="p">;</span> <span class="n">y</span> <span class="o">*=</span> <span class="n">b</span> |
---|
331 | <span class="n">z</span> <span class="o">=</span> <span class="n">a</span><span class="o">*</span><span class="n">b</span> |
---|
332 | <span class="k">assert</span> <span class="n">y</span><span class="o">.</span><span class="n">x</span> <span class="o">==</span> <span class="n">z</span><span class="o">.</span><span class="n">x</span> <span class="ow">and</span> <span class="nb">abs</span><span class="p">(</span><span class="n">y</span><span class="o">.</span><span class="n">variance</span><span class="o">-</span><span class="n">z</span><span class="o">.</span><span class="n">variance</span><span class="p">)</span> <span class="o"><</span> <span class="mf">1e-15</span> |
---|
333 | <span class="n">y</span> <span class="o">=</span> <span class="n">a</span><span class="o">+</span><span class="mi">0</span><span class="p">;</span> <span class="n">y</span> <span class="o">/=</span> <span class="n">b</span> |
---|
334 | <span class="n">z</span> <span class="o">=</span> <span class="n">a</span><span class="o">/</span><span class="n">b</span> |
---|
335 | <span class="k">assert</span> <span class="n">y</span><span class="o">.</span><span class="n">x</span> <span class="o">==</span> <span class="n">z</span><span class="o">.</span><span class="n">x</span> <span class="ow">and</span> <span class="nb">abs</span><span class="p">(</span><span class="n">y</span><span class="o">.</span><span class="n">variance</span><span class="o">-</span><span class="n">z</span><span class="o">.</span><span class="n">variance</span><span class="p">)</span> <span class="o"><</span> <span class="mf">1e-15</span> |
---|
336 | |
---|
337 | |
---|
338 | <span class="c"># =============== vector operations ================</span> |
---|
339 | <span class="c"># Slicing</span> |
---|
340 | <span class="n">z</span> <span class="o">=</span> <span class="n">Uncertainty</span><span class="p">(</span><span class="n">numpy</span><span class="o">.</span><span class="n">array</span><span class="p">([</span><span class="mi">1</span><span class="p">,</span><span class="mi">2</span><span class="p">,</span><span class="mi">3</span><span class="p">,</span><span class="mi">4</span><span class="p">,</span><span class="mi">5</span><span class="p">]),</span><span class="n">numpy</span><span class="o">.</span><span class="n">array</span><span class="p">([</span><span class="mi">2</span><span class="p">,</span><span class="mi">1</span><span class="p">,</span><span class="mi">2</span><span class="p">,</span><span class="mi">3</span><span class="p">,</span><span class="mi">2</span><span class="p">]))</span> |
---|
341 | <span class="k">assert</span> <span class="n">z</span><span class="p">[</span><span class="mi">2</span><span class="p">]</span><span class="o">.</span><span class="n">x</span> <span class="o">==</span> <span class="mi">3</span> <span class="ow">and</span> <span class="n">z</span><span class="p">[</span><span class="mi">2</span><span class="p">]</span><span class="o">.</span><span class="n">variance</span> <span class="o">==</span> <span class="mi">2</span> |
---|
342 | <span class="k">assert</span> <span class="p">(</span><span class="n">z</span><span class="p">[</span><span class="mi">2</span><span class="p">:</span><span class="mi">4</span><span class="p">]</span><span class="o">.</span><span class="n">x</span> <span class="o">==</span> <span class="p">[</span><span class="mi">3</span><span class="p">,</span><span class="mi">4</span><span class="p">])</span><span class="o">.</span><span class="n">all</span><span class="p">()</span> |
---|
343 | <span class="k">assert</span> <span class="p">(</span><span class="n">z</span><span class="p">[</span><span class="mi">2</span><span class="p">:</span><span class="mi">4</span><span class="p">]</span><span class="o">.</span><span class="n">variance</span> <span class="o">==</span> <span class="p">[</span><span class="mi">2</span><span class="p">,</span><span class="mi">3</span><span class="p">])</span><span class="o">.</span><span class="n">all</span><span class="p">()</span> |
---|
344 | <span class="n">z</span><span class="p">[</span><span class="mi">2</span><span class="p">:</span><span class="mi">4</span><span class="p">]</span> <span class="o">=</span> <span class="n">Uncertainty</span><span class="p">(</span><span class="n">numpy</span><span class="o">.</span><span class="n">array</span><span class="p">([</span><span class="mi">8</span><span class="p">,</span><span class="mi">7</span><span class="p">]),</span><span class="n">numpy</span><span class="o">.</span><span class="n">array</span><span class="p">([</span><span class="mi">4</span><span class="p">,</span><span class="mi">5</span><span class="p">]))</span> |
---|
345 | <span class="k">assert</span> <span class="n">z</span><span class="p">[</span><span class="mi">2</span><span class="p">]</span><span class="o">.</span><span class="n">x</span> <span class="o">==</span> <span class="mi">8</span> <span class="ow">and</span> <span class="n">z</span><span class="p">[</span><span class="mi">2</span><span class="p">]</span><span class="o">.</span><span class="n">variance</span> <span class="o">==</span> <span class="mi">4</span> |
---|
346 | <span class="n">A</span> <span class="o">=</span> <span class="n">Uncertainty</span><span class="p">(</span><span class="n">numpy</span><span class="o">.</span><span class="n">array</span><span class="p">([</span><span class="n">a</span><span class="o">.</span><span class="n">x</span><span class="p">]</span><span class="o">*</span><span class="mi">2</span><span class="p">),</span><span class="n">numpy</span><span class="o">.</span><span class="n">array</span><span class="p">([</span><span class="n">a</span><span class="o">.</span><span class="n">variance</span><span class="p">]</span><span class="o">*</span><span class="mi">2</span><span class="p">))</span> |
---|
347 | <span class="n">B</span> <span class="o">=</span> <span class="n">Uncertainty</span><span class="p">(</span><span class="n">numpy</span><span class="o">.</span><span class="n">array</span><span class="p">([</span><span class="n">b</span><span class="o">.</span><span class="n">x</span><span class="p">]</span><span class="o">*</span><span class="mi">2</span><span class="p">),</span><span class="n">numpy</span><span class="o">.</span><span class="n">array</span><span class="p">([</span><span class="n">b</span><span class="o">.</span><span class="n">variance</span><span class="p">]</span><span class="o">*</span><span class="mi">2</span><span class="p">))</span> |
---|
348 | |
---|
349 | <span class="c"># TODO complete tests of copy and inplace operations for vectors and slices.</span> |
---|
350 | |
---|
351 | <span class="c"># Binary operations</span> |
---|
352 | <span class="n">z</span> <span class="o">=</span> <span class="n">A</span><span class="o">+</span><span class="n">B</span> |
---|
353 | <span class="k">assert</span> <span class="p">(</span><span class="n">z</span><span class="o">.</span><span class="n">x</span> <span class="o">==</span> <span class="mi">5</span><span class="o">+</span><span class="mi">4</span><span class="p">)</span><span class="o">.</span><span class="n">all</span><span class="p">()</span> <span class="ow">and</span> <span class="p">(</span><span class="n">z</span><span class="o">.</span><span class="n">variance</span> <span class="o">==</span> <span class="mi">3</span><span class="o">+</span><span class="mi">2</span><span class="p">)</span><span class="o">.</span><span class="n">all</span><span class="p">()</span> |
---|
354 | <span class="n">z</span> <span class="o">=</span> <span class="n">A</span><span class="o">-</span><span class="n">B</span> |
---|
355 | <span class="k">assert</span> <span class="p">(</span><span class="n">z</span><span class="o">.</span><span class="n">x</span> <span class="o">==</span> <span class="mi">5</span><span class="o">-</span><span class="mi">4</span><span class="p">)</span><span class="o">.</span><span class="n">all</span><span class="p">()</span> <span class="ow">and</span> <span class="p">(</span><span class="n">z</span><span class="o">.</span><span class="n">variance</span> <span class="o">==</span> <span class="mi">3</span><span class="o">+</span><span class="mi">2</span><span class="p">)</span><span class="o">.</span><span class="n">all</span><span class="p">()</span> |
---|
356 | <span class="n">z</span> <span class="o">=</span> <span class="n">A</span><span class="o">*</span><span class="n">B</span> |
---|
357 | <span class="k">assert</span> <span class="p">(</span><span class="n">z</span><span class="o">.</span><span class="n">x</span> <span class="o">==</span> <span class="mi">5</span><span class="o">*</span><span class="mi">4</span><span class="p">)</span><span class="o">.</span><span class="n">all</span><span class="p">()</span> <span class="ow">and</span> <span class="p">(</span><span class="n">z</span><span class="o">.</span><span class="n">variance</span> <span class="o">==</span> <span class="p">(</span><span class="mi">5</span><span class="o">**</span><span class="mi">2</span><span class="o">*</span><span class="mi">2</span> <span class="o">+</span> <span class="mi">4</span><span class="o">**</span><span class="mi">2</span><span class="o">*</span><span class="mi">3</span><span class="p">))</span><span class="o">.</span><span class="n">all</span><span class="p">()</span> |
---|
358 | <span class="n">z</span> <span class="o">=</span> <span class="n">A</span><span class="o">/</span><span class="n">B</span> |
---|
359 | <span class="k">assert</span> <span class="p">(</span><span class="n">z</span><span class="o">.</span><span class="n">x</span> <span class="o">==</span> <span class="mf">5.</span><span class="o">/</span><span class="mi">4</span><span class="p">)</span><span class="o">.</span><span class="n">all</span><span class="p">()</span> |
---|
360 | <span class="k">assert</span> <span class="p">(</span><span class="nb">abs</span><span class="p">(</span><span class="n">z</span><span class="o">.</span><span class="n">variance</span> <span class="o">-</span> <span class="p">(</span><span class="mf">3.</span><span class="o">/</span><span class="mi">5</span><span class="o">**</span><span class="mi">2</span> <span class="o">+</span> <span class="mf">2.</span><span class="o">/</span><span class="mi">4</span><span class="o">**</span><span class="mi">2</span><span class="p">)</span><span class="o">*</span><span class="p">(</span><span class="mf">5.</span><span class="o">/</span><span class="mi">4</span><span class="p">)</span><span class="o">**</span><span class="mi">2</span><span class="p">)</span> <span class="o"><</span> <span class="mf">1e-15</span><span class="p">)</span><span class="o">.</span><span class="n">all</span><span class="p">()</span> |
---|
361 | |
---|
362 | <span class="c"># printing; note that sqrt(3) ~ 1.7</span> |
---|
363 | <span class="k">assert</span> <span class="nb">str</span><span class="p">(</span><span class="n">Uncertainty</span><span class="p">(</span><span class="mi">5</span><span class="p">,</span><span class="mi">3</span><span class="p">))</span> <span class="o">==</span> <span class="s">"5.0(17)"</span> |
---|
364 | <span class="k">assert</span> <span class="nb">str</span><span class="p">(</span><span class="n">Uncertainty</span><span class="p">(</span><span class="mi">15</span><span class="p">,</span><span class="mi">3</span><span class="p">))</span> <span class="o">==</span> <span class="s">"15.0(17)"</span> |
---|
365 | <span class="k">assert</span> <span class="nb">str</span><span class="p">(</span><span class="n">Uncertainty</span><span class="p">(</span><span class="mf">151.23356</span><span class="p">,</span><span class="mf">0.324185</span><span class="o">**</span><span class="mi">2</span><span class="p">))</span> <span class="o">==</span> <span class="s">"151.23(32)"</span> |
---|
366 | |
---|
367 | <span class="k">if</span> <span class="n">__name__</span> <span class="o">==</span> <span class="s">"__main__"</span><span class="p">:</span> <span class="n">test</span><span class="p">()</span> |
---|
368 | </pre></div> |
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