Log Barrier Objective Value

Problem

The logarithmic barrier for constraints g_i(x) < 0 is -sum_i log(-g_i(x)).

Given the constraint values, return the barrier value, or None when any constraint value is nonnegative.

Hint

The barrier is finite only strictly inside the feasible region.

case 1

in: [[-1,-2]]

expected: -0.6931471805599453

case 2

in: [[-0.5]]

expected: 0.6931471805599453

case 3

in: [[-1,0,-2]]

expected: null

Starter codePython

def log_barrier_objective_value(constraints):
    # Your code here
    pass

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