#!/usr/bin/python # -*- coding: utf8 -*- # Uncertain quantities. # (c) Robert Jordens <jordens@debian.org> # Made available freely under the Python license import numpy as np from enthought.traits.api import HasStrictTraits from enthought.traits.api import Str, Float, Bool, List, Dict, Enum class Uncertain(HasStrictTraits): """ Represents a numeric value with a known small uncertainty (error, standard deviation...). Numeric operators are overloaded to work with other Uncertain or numeric objects. The uncertainty (error) must be small. Otherwise the linearization employed here becomes wrong. The usage of traits can easily be dumped. """ value = Float error = Float(0.) def __init__(self, value=0., error=0., *a, **t): self.value = value self.error = abs(error) super(Uncertain, self).__init__(*a, **t) def __str__(self): return "%g+-%g" % (self.value, self.error) def __repr__(self): return "Uncertain(%s, %s)" % (self.value, self.error) def __float__(self): return self.value def assign(self, other): if isinstance(other, Uncertain): self.value = other.value self.error = other.error else: self.value = other self.error = 0. def __abs__(self): return Uncertain(abs(self.value), self.error) def __add__(self, other): if isinstance(other, Uncertain): v = self.value + other.value e = (self.error**2+other.error**2)**.5 return Uncertain(v, e) else: return Uncertain(self.value+other, self.error) def __radd__(self, other): return self + other # __add__ def __sub__(self, other): return self + (-other) # other.__neg__ and __add__ def __rsub__(self, other): return -self + other # __neg__ and __add__ def __mul__(self, other): if isinstance(other, Uncertain): v = self.value * other.value e = ((self.error*other.value)**2+(other.error*self.value)**2)**.5 return Uncertain(v, e) else: return Uncertain(self.value*other, self.error*other) def __rmul__(self, other): return self * other # __mul__ def __neg__(self): return self*-1 # __mul__ def __pos__(self): return self def __div__(self, other): return self*(1./other) # other.__div__ and __mul__ def __rdiv__(self, other): return (self/other)**-1. # __pow__ and __div__ def __pow__(self, other): if isinstance(other, Uncertain): v = self.value**other.value e = ((self.error*other.value*self.value**(other.value-1.))**2+ (other.error*np.log(self.value)*self.value**other.value)**2)**.5 return Uncertain(v, e) else: return Uncertain(self.value**other, self.error*other*self.value**(other-1)) def __rpow__(self, other): assert not isinstance(other, Uncertain) # otherwise other.__pow__ would have been called return Uncertain(other**self.value, self.error*np.log(other)*other**self.value) def exp(self): return np.e**self def log(self): return Uncertain(np.log(self.value), self.error/self.value)