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the triangle function works now

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HybridDog 2015-04-25 08:28:18 +02:00
parent 3ee60ac7a3
commit c75042050a
2 changed files with 35 additions and 16 deletions
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1
LICENSE.txt Normal file
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@ -0,0 +1 @@
WTFPL

50
init.lua
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@ -238,16 +238,6 @@ function vector.sort(ps, preferred_coords)
return ps return ps
end end
function vector.between(v, v1, v2, range)
for i in pairs(v) do
if not (v1[i] < v[i]+range and v[i] < v2[i]+range)
and not (v1[i]+range > v[i] and v[i]+range > v2[i]) then
return false
end
end
return true
end
function vector.scalarproduct(v1, v2) function vector.scalarproduct(v1, v2)
return v1.x*v2.x + v1.y*v2.y + v1.z*v2.z return v1.x*v2.x + v1.y*v2.y + v1.z*v2.z
end end
@ -274,7 +264,6 @@ function vector.mirror(pos, v, vb)
return vector.add(pos, vector.multiply(v, dif)) return vector.add(pos, vector.multiply(v, dif))
end end
-- doesnt work
--local areas = {} --local areas = {}
function vector.area(ps) function vector.area(ps)
-- sort positions and imagine the first one as vector.zero -- sort positions and imagine the first one as vector.zero
@ -335,6 +324,14 @@ function vector.area(ps)
local BA = vector.multiply(B, -1) local BA = vector.multiply(B, -1)
local A2 = vector.add(vector.mirror(BA, vn, BC), B) local A2 = vector.add(vector.mirror(BA, vn, BC), B)
local nB = vector.normalize(B)
local nC = vector.normalize(C)
local angle_BC = math.acos(vector.scalarproduct(nB, nC))
local BA = vector.normalize(vector.multiply(B, -1))
local BC = vector.normalize(vector.subtract(C, B))
local angle_AC = math.acos(vector.scalarproduct(BA, BC))
local bB = {z=1} local bB = {z=1}
local area = {} local area = {}
for z = cube_p1.z, cube_p2.z do for z = cube_p1.z, cube_p2.z do
@ -348,16 +345,37 @@ function vector.area(ps)
} }
local dmin = math.min(math.abs(d.x), math.abs(d.y), math.abs(d.z)) local dmin = math.min(math.abs(d.x), math.abs(d.y), math.abs(d.z))
if dmin <= 0.5 then if dmin <= 0.5 then
--[[ep.x*vn.x+ep.y*vn.y+ep.z*vn.z = 0
ep.x = p.x+n*vn.x
ep.y = p.y+n*vn.y
ep.z = p.z+n*vn.z
(p.x+n*vn.x)*vn.x+(p.y+n*vn.y)*vn.y+(p.z+n*vn.z)*vn.z = 0
p.x*vn.x+n*vn.x*vn.x+p.y*vn.y+n*vn.y*vn.y+p.z*vn.z+n*vn.z*vn.z = 0
n*vn.x*vn.x+n*vn.y*vn.y+n*vn.z*vn.z = -(p.x*vn.x+p.y*vn.y+p.z*vn.z)
n*(vn.x*vn.x+vn.y*vn.y+vn.z*vn.z) = -(p.x*vn.x+p.y*vn.y+p.z*vn.z)--]]
n = -(p.x*vn.x+p.y*vn.y+p.z*vn.z)/(vn.x*vn.x+vn.y*vn.y+vn.z*vn.z)
local ep = vector.new(p) local ep = vector.new(p)
for n,i in pairs(d) do ep = vector.add(ep, vector.multiply(vn, n))
--[[for n,i in pairs(d) do
if math.abs(i) == dmin then if math.abs(i) == dmin then
ep[n] = ep[n]+i ep[n] = ep[n]+i
break break
end end
end end--]]
if bB.x/ep.x > 0 local nep = vector.normalize(ep)
and cC.x/ep.x > 0 then local angle_Bep = math.acos(vector.scalarproduct(nB, nep))
table.insert(area, vector.add(pos, p)) local angle_Cep = math.acos(vector.scalarproduct(nC, nep))
local angldif = angle_BC - (angle_Bep+angle_Cep)
if math.abs(angldif) < 0.01 then
ep = vector.subtract(ep, B)
nep = vector.normalize(ep)
local angle_Aep = math.acos(vector.scalarproduct(BA, nep))
local angle_Cep = math.acos(vector.scalarproduct(BC, nep))
local angldif = angle_AC - (angle_Aep+angle_Cep)
if math.abs(angldif) < 0.01 then
table.insert(area, vector.add(pos, p))
end
end end
end end
end end