- path points and path values for default interpolation



-----------
1--------2--------3--------4
1--------2

1--------X--------X--------2

2 -> 4

2 numbers between 0 to 3

2 / 4
0, 0.5, 1, 1.5 (2/4 increments starting at 0)
0, 1, 1, 2 (ceiling)
0, 0, 1, 1 (floor)
0, 1, 1, 2 (round)

0.5, 1, 1.5, 2 (2/4 increments starting at 0.5)
1, 1, 2, 2 (ceiling)
0, 1, 1, 2 (floor)
1, 1, 2, 2 (round)

~~
4 points -> 1 point maps to final vertex. so 3 points into 1 segment
0, 0.33, 0.66, *1

==> 0-1, 0-1, 0-1, *1

====

1--------2--------3--------4
1--------2--------3

1--------2--------X--------3
OR
1--------X--------2--------3

3 -> 4
where to put in ?
1 number between 0 to 3

3 / 2 == 1.5

0, 1, 2, 3

0, 1, 2
0, 1.3, 2.6, 4


0.75, 1.5, 2.25, 3 (3/4 increments starting at 0.75)
1, 2, 3, 3 (ceiling)
0, 1, 2, 3 (floor)
1, 2, 2, 3 (round)

0, 0.75, 1.5, 2.25 (3/4 increments starting at 0)
0, 1, 2, 3 (ceiling)
0, 0, 1, 2 (floor)
0, 1, 2, 2 (round)


~~
4 points -> 1 point maps to final vertex. so 3 points into 2 segments
0, 0.66, 1.33, *2
==> 0-1, 0-1, 1-2, *2


====
