how to rasterize rotated rectangle (in 2d by setpixel)

To fill your rectangle handle it as closed convex polygon (almost the same as triangle filling)

1. order your points to match winding rule

   so there are lines AB BC CD DA or reverse

2. create left and right buffer

   address is y-coordinate, its an array of x-positions and if needed also array of color,texture coordinates,.... for starters:

   `int buf_x0[ys],buf_x1[ys];`
   

   where ys is screen y-resolution

3. implement any draw line algorithm

   but instead of draw to screen just store x coordinate of pixel to buffer.

   • instead of: setpixel(x,y,color); do: buf_x?[y]=x;.

   Which buffer is the destination depends on the line Y direction

   • if dy<0 then fill buff_x0
   • if dy>0 then fill buff_x1
   • if dy==0 then buf_x0[y]=min(x) and buf_x1[y]=max(x)

   Beware you have to sort the line endpoints by x coordinate before rasterizing to avoid seams/holes in meshes caused by different pixels produced for reversed endpoints lines.

4. apply this line algorithm to all border lines of polygon (AB,BC,CD,DA)

   after this the buffers contains start and end x-positions of your horizontal lines

5. fill the rectangle on screen

   for (y=min(Ay,By,Cy,Dy);y<=max(Ay,By,Cy,Dy);y++)
    draw_horizontal_line(y,buf_x0[y],buf_x1[y],color);
   

Image for clarity (taken from my lectures on low level computer graphics)

image description:

• vertical rectangles represents the border buffers buf_x0[],buf_x1[]
• clockwise winding rule ensures the destination buffer. If its coded properly than buf_x0[y] <= buf_x1[y] so draw of horizontal line colapses to single for loop

Also here simple C++ example of mine for this