uncertainties をpipでインストールする
pip install uncertainties
誤差付きの小数の定義はufloat
である。
>>> from uncertainties import ufloat >>> a=ufloat(10,1) >>> b=ufloat(3,0.1) >>> a+b 13.0+/-1.004987562112089 >>> a-b 7.0+/-1.004987562112089 >>> a*b 30.0+/-3.1622776601683795 >>> a/b 3.3333333333333335+/-0.35136418446315326 >>> a**b 1000.0+/-378.1785042870416
もう少し複雑な計算
>>> from uncertainties import ufloat >>> from uncertainties.umath import sin, cos, tan, sqrt, fabs, acos, atan2 >>> rad=ufloat(0.2,0.01) >>> sin(rad) 0.19866933079506122+/-0.009800665778412416 >>> cos(rad) 0.9800665778412416+/-0.0019866933079506124 >>> tan(rad) 0.2027100355086725+/-0.010410913584959275 >>> sqrt(rad) 0.4472135954999579+/-0.011180339887498949 >>> c=cos(rad) >>> c 0.9800665778412416+/-0.0019866933079506124 >>> acos(c) 0.2+/-0.010000000000000002 >>> t=tan(rad) >>> t 0.2027100355086725+/-0.010410913584959275 >>> atan2(t,1) 0.2+/-0.01
最確値と誤差を得る
t.nominal_value t.n t.std_dev t.s