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Transparent calculations with quantities with uncertainties (aka "error propagation")

Project description

uncertainties allows calculation such as (0.2 +- 0.01)**2 = 0.04 +- 0.004 to be performed transparently.

Correlations between expressions are correctly taken into account (for instance, with x=0.2+-0.01, 2*x - x - x is exactly zero, as is y - x - x with y = 2*x).

Examples:

# Mathematical operations:
x = uncertainties.Number_with_uncert((0.20, 0.01))  # x = 0.20+-0.01
x = uncertainties.Number_with_uncert("0.20(1)")  # Other representation
print x**2  # Prints "0.04+-0.004"
print math.sin(x**2)  # Prints "0.0399...+-0.00399..."

# Access to the value at the origin, to the uncertainty, and to derivatives:
y = x**2
print y  # Prints "0.04+-0.004"
print y.origin_value  # Prints "0.04"
print y.std_dev()  # Prints "0.004..."
print y.derivatives[x]  # Partial derivative: prints "2"

Almost all mathematical operations are supported, including many from the standard math module and from the third-party numpy module.

More information can be obtained with pydoc uncertainties.

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