Riemann Sums Left and Right

Problem

Given sampled function values on a uniform grid with spacing dx, return both the left and right Riemann sums as a list [left, right].

left = dx * sum(values[0:-1]) and right = dx * sum(values[1:]).

If fewer than two samples are supplied, both sums are 0.0.

Hint

The left sum drops the final sample; the right sum drops the first sample.

case 1

in: [[1,1,1,1],0.5]

expected: [1.5,1.5]

case 2

in: [[0,1,4,9],1]

expected: [5,14]

case 3

in: [[2,4,8],0.25]

expected: [1.5,3]

case 4

in: [[3],1]

expected: [0,0]

Starter codePython

def riemann_sums(values, dx):
    # Return [left_sum, right_sum]
    # Your code here
    pass

4 test cases · run your code against them in the editor