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- local function create_cube()
- return {
- vertices = {
- { { -0.5}, { -0.5}, {0.5}, {1} },
- { {0.5}, { -0.5}, {0.5}, {1} },
- { { -0.5}, {0.5}, {0.5}, {1} },
- { {0.5}, {0.5}, {0.5}, {1} },
- { { -0.5}, { -0.5}, { -0.5}, {1}},
- { {0.5}, { -0.5}, { -0.5}, {1}},
- { { -0.5}, {0.5}, { -0.5}, {1}},
- { {0.5}, {0.5}, { -0.5}, {1}}
- },
- indices = {
- {1,2},
- {2,4},
- {4,3},
- {3,1},
- {5,6},
- {6,8},
- {8,7},
- {7,5},
- {1,5},
- {2,6},
- {3,7},
- {4,8}
- }
- }
- end
- local function makeRotation(eulers)
- local x = math.rad(eulers.x)
- local y = math.rad(eulers.y)
- local z = math.rad(eulers.z)
- local sx = math.sin(x)
- local sy = math.sin(y)
- local sz = math.sin(z)
- local cx = math.cos(x)
- local cy = math.cos(y)
- local cz = math.cos(z)
- return
- {
- {cy * cz, -cy * sz, sy, 0},
- {(sx * sy * cz) + (cx * sz), (-sx * sy * sz) + (cx * cz), -sx * cy, 0},
- {(-cx * sy * cz) + (sx * sz), (cx * sy * sz) + (sx * cz), cx * cy, 0},
- {0, 0, 0, 1,}
- }
- end
- local makeTranslation = function(cords)
- return {
- {1,0,0,-cords.x},
- {0,1,0,cords.y},
- {0,0,1,-cords.z},
- {0,0,0,1}
- }
- end
- local function makeScale(scale)
- return
- {
- {scale.x, 0, 0, 0},
- {0, scale.y, 0, 0},
- {0, 0, scale.z, 0},
- {0, 0, 0, 1}
- }
- end
- local function makePerspective(n, f, fov)
- local aspectRatio = 3/2
- fov = math.rad(fov)
- return {
- {aspectRatio/math.tan(fov*0.5),0,0,0},
- {0,1/(math.tan(fov*0.5)),0,0},
- {0,0,-f/(f-n),-f*n/(f-n)},
- {0,0,-1,0}
- }
- end
- local function matmul(m1, m2)
- local result = {}
- for i = 1, #m1 do
- result[i] = {}
- for j = 1, #m2[1] do
- local sum = 0
- for k = 1, #m2 do sum = sum + (m1[i][k] * m2[k][j]) end
- result[i][j] = sum
- end
- end
- return result
- end
- local function transform_vector(x,y,z,width,height)
- local scaler = math.min(width,height)
- local xFactor,yFactor = scaler/2,scaler/2
- local z_inv = 1/z
- x = (x*z_inv+1)*xFactor+width/2-xFactor
- y = (-y*z_inv+1)*yFactor
- return x,y
- end
- local translation = makeTranslation({x = 0, y = -1, z = 20})
- local scale = makeScale({x = 8, y = 8, z = 8})
- local w,h = term.getSize()
- local persperctive = makePerspective(20, 1, 45)
- local angle = vector.new(45,45,45)
- local cube = create_cube()
- term.clear()
- local win = window.create(term.current(),1,1,term.getSize())
- local old = term.redirect(win)
- local ok,err = pcall(function() while true do
- local transformed_vertices = {}
- local rot = makeRotation(angle)
- for k,v in pairs(cube.vertices) do
- local scaled = matmul(scale, v)
- local rotated = matmul(rot, scaled)
- local translated = matmul(translation, rotated)
- local projected = matmul(persperctive, translated)
- transformed_vertices[k] = projected
- end
- term.setBackgroundColor(colors.black)
- win.setVisible(false)
- term.clear()
- for k,v in pairs(cube.indices) do
- local aspect1 = 1/transformed_vertices[v[1]][4][1]
- local aspect2 = 1/transformed_vertices[v[2]][4][1]
- local x1,y1 = transform_vector(
- transformed_vertices[v[1]][1][1],
- transformed_vertices[v[1]][2][1],
- transformed_vertices[v[1]][4][1],w,h
- )
- local x2,y2 = transform_vector(
- transformed_vertices[v[2]][1][1],
- transformed_vertices[v[2]][2][1],
- transformed_vertices[v[2]][4][1],w,h
- )
- angle.y = angle.y+0.001
- paintutils.drawLine(x1,y1,x2,y2,(transformed_vertices[v[1]][4][1] > 24 or transformed_vertices[v[1]][4][1] > 24) and colors.gray or colors.lightGray)
- end
- win.setVisible(true)
- os.queueEvent("")
- os.pullEvent("")
- end end)
- if not ok then term.redirect(old) error(err,0) end
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