Ray reflection
Posted: Wed Jan 04, 2023 11:28 am
Hi all!
Here is an example how to implement the ray reflection in lua.
Here is an example how to implement the ray reflection in lua.
Code: Select all
local function segmentVsSegment(x1,y1, x2,y2, x3,y3, x4,y4)
-- from https://2dengine.com/?p=intersections#Segment_vs_segment
local dx1, dy1, dx2, dy2, dx3, dy3 = x2-x1, y2-y1, x4-x3, y4-y3, x1-x3, y1-y3
local d = dx1*dy2 - dy1*dx2
if d == 0 then return false end
local t1 = (dx2*dy3 - dy2*dx3)/d
if t1 < 0 or t1 > 1 then return false end
local t2 = (dx1*dy3 - dy1*dx3)/d
if t2 < 0 or t2 > 1 then return false end
return x1 + t1*dx1, y1 + t1*dy1 -- point of intersection
end
local function reflectRay (x1,y1, x2,y2, x3,y3, x4,y4)
-- from https://stackoverflow.com/questions/30970103/2d-line-reflection-on-a-mirror
-- x1,y1, x2,y2 is a mirror line
-- x3,y3, x4,y4 is a ray
-- intersection:
local x5, y5 = segmentVsSegment(x1, y1, x2, y2, x3, y3, x4, y4)
if not x5 then return end -- no crossing
-- ray vector:
local rayX, rayY = x4-x5, y4-y5
-- normal:
local nx, ny = y2-y1, x1-x2
local nlength = math.sqrt(nx*nx + ny*ny)
if nlength == 0 then return end
nx, ny = nx/nlength, ny/nlength
-- dot product:
local dotProduct = (rayX*nx)+(rayY*ny)
local x6 = x4-2*dotProduct*nx
local y6 = y4-2*dotProduct*ny
return x3,y3, x5,y5, x6,y6 -- three points of reflected ray
end