Python: integrating area under curve with uneven steps in x

问题

I have a list of y values and a list of x values. I would like to find the area under the curve defined by these points. I have found a couple of solutions to this problem for x values with even spacing:

1) Calculating the area under a curve given a set of coordinates, without knowing the function

2) Using scipy to perform discrete integration of the sample

But neither of these works when the x values are not evenly spaced.

For example:

>>> from scipy.integrate import simps
>>> y = np.array([1,1,1,1])
>>> x = np.array([0,5,20,30])
>>> simps(y,x)
-inf

Of course, using x = np.array([0,10,20,30]) in the above code returns 30.0, as expected.

Can anyone suggest a way to find the area under a curve with uneven x-spacing?

来源：https://stackoverflow.com/questions/22238489/python-integrating-area-under-curve-with-uneven-steps-in-x