Kata

As the title suggests, this is the hard-core version of another neat kata.

The task is simple to explain: simply sum all the numbers from the first parameter being the beginning to the second parameter being the upper limit (possibly included), going in steps expressed by the third parameter:

sequenceSum(2,2,2) === 2
sequenceSum(2,6,2) === 12 // 2 + 4 + 6
sequenceSum(1,5,1) === 15 // 1 + 2 + 3 + 4 + 5
sequenceSum(1,5,3) === 5 // 1 + 4

sequence_sum(2, 2, 2) # 2
sequence_sum(2, 6, 2) # 12 (= 2 + 4 + 6)
sequence_sum(1, 5, 1) # (= 1 + 2 + 3 + 4 + 5)
sequence_sum(1, 5, 3) # 5 (= 1 + 4)

sequence_sum(2, 2, 2) # 2
sequence_sum(2, 6, 2) # 12 (= 2 + 4 + 6)
sequence_sum(1, 5, 1) # (= 1 + 2 + 3 + 4 + 5)
sequence_sum(1, 5, 3) # 5 (= 1 + 4)

sequence_sum(2, 2, 2) # 2
sequence_sum(2, 6, 2) # 12 (= 2 + 4 + 6)
sequence_sum(1, 5, 1) # (= 1 + 2 + 3 + 4 + 5)
sequence_sum(1, 5, 3) # 5 (= 1 + 4)

SequenceSum(2, 2, 2) # 2
SequenceSum(2, 6, 2) # 12 (= 2 + 4 + 6)
SequenceSum(1, 5, 1) # (= 1 + 2 + 3 + 4 + 5)
SequenceSum(1, 3, 5) # 1

If it is an impossible sequence (with the beginning being larger the end and a positive step or the other way around), just return 0. See the provided test cases for further examples :)

Note: differing from the other base kata, much larger ranges are going to be tested, so you should hope to get your algo optimized and to avoid brute-forcing your way through the solution.