gate_xor

The Boolean logic gate "xor" in the fault tree. Calculate the probability that the conditioning event happens according to the inputs.

Syntax

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q = gate_xor(q1, q2)

Description

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q = gate_xor(q1, q2)

Calculate the probability that the conditioning event happens according to the inputs q1 and q2.

The relationship between them satisfies the following equation.

where $q_1,q_2\in [0,1]$$q_1,q_2\in\left[0,1\right]$.

Examples

Examples

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>>> from OpenHA.assessment.system import gate_xor
>>> q1, q2 = 0.8, 0.9
>>> print(gate_xor(q1, q2))

# (1 - 0.8) * 0.9 + 0.8 * (1 - 0.9)
# 0.2 * 0.9 + 0.8 * 0.1
# 0.18 + 0.08

0.26

Input Arguments

q1 —— The probability that an event happens, specified as a positive numeric scaler in $[0,1]$$\left[0,1\right]$.

q2 —— The probability that the other event happens, specified as a positive numeric scaler in $[0,1]$$\left[0,1\right]$.