how do I create a line of arbitrary thickness using Bresenham?

Take another Bresenham loop and use it to modify the start and end position of original line in rectangular direction.
Problem is to efficently find the right starting point and not to draw any pixel twice (or skip a pixel) while drawing next line.

Working and tested C code is available from Github C code .

Here a test page including a few sample lines created by this code.
The black pixels are the starting points for the algorithm.

Test page with bresenham lines with different thickness

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