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Get indices of endpoints of a line in a list of 3 dimensional points

I need to be able to get the indices of two endpoints that form a straight line in a list of points. It's difficult to describe so I will just say the desired outcome for multiple test cases:

Let's say we have a list of points in 3D space:

[45,45,45]
[45,45,42]
[45,45,39]
[45,42,39]
[45,39,39]
[45,36,39]
[45,33,39]

The expected outcome if the list starts at 0 would be:

(0,2),(3,6)

Because we can form a line between points on indices 0 and 2 without the line leaving the z axis, and we can form a straight line between points on indices 3 and 6 without it leaving the y axis.

The expected input will always be the same format as the above, with only 1 of the axis changing values as you go through the list. Here's another test case:

[30,24,42]
[30,21,42]
[27,21,42]
[27,21,45]
[27,21,48]
[27,21,51]

With the output:

(0,1),(2,5)

I don't know how to begin tackling the problem. I first thought of using a for loop to iterate through every point and store the difference between each consecutive point and checking whether or not the difference between the axis remained the same, but I couldn't figure out how to do it yet. Any help or guidance would be appreciated.

Via Active questions tagged javascript - Stack Overflow https://ift.tt/ohRMi0d
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