I and a friend are currently stuck with a math predicament in which we cannot solve. We are trying to recreate a parliamentary diagram using lua, using the source code on this website
^ This website has the source code which is in Python, we converted it into Lua.
We use parts/color to represent delegates of each party. We currently have a few features down but the parts are not coming into place as we'd hope.
Instead of it looking like this: Bad Image
We want it to look like this: Good Image
If any of you could of be of any help and tell us what we've done wrong in our code, that'd be great.
We are almost certain it's something to do with the math.
[LUA CODE]
local function UpdateParliamentaryDiagram(countryid)
if #viewportframe:GetChildren() == 1 then
for _,x in pairs(viewportframe:GetChildren()) do
x:Destroy()
end
end
local checkpartiesexist = false
local CountrySelected = findcountry(countryid)
if #c_database[CountrySelected].Parties:GetChildren() > 0 then
checkpartiesexist = true
end
-- fetch party information for country selected
if checkpartiesexist == true then
local PartyList = {} --create blank party list
for _,x in pairs(c_database[CountrySelected].Parties:GetChildren()) do --add parties to list
local temprow = {}
table.insert(temprow,x.Name) --name of party
table.insert(temprow,x.Value) --amount of representatives from political party
table.insert(temprow,x.Color.Value) --party colour
table.insert(PartyList,temprow) --add party to total party list
end
local sumdelegates = 0 -- total amount of seats
for _,x in pairs(PartyList) do --get total delegates
sumdelegates = sumdelegates + x[2]
end
--totals is the total amount of delegates per row
local totals = {3, 15, 33, 61, 95, 138, 189, 247, 313, 388, 469, 559, 657, 762, 876, 997, 1126, 1263, 1408, 1560, 1722, 1889, 2066, 2250, 2442, 2641, 2850, 3064, 3289, 3519, 3759, 4005, 4261, 4522, 4794, 5071, 5358, 5652, 5953, 6263, 6581, 6906, 7239, 7581, 7929, 8287, 8650, 9024, 9404, 9793, 10187, 10594, 11003, 11425, 11850, 12288, 12729, 13183, 13638, 14109, 14580, 15066, 15553, 16055, 16557, 17075, 17592, 18126, 18660, 19208, 19758, 20323, 20888, 21468, 22050, 22645, 23243, 23853, 24467, 25094, 25723, 26364, 27011, 27667, 28329, 29001, 29679, 30367, 31061}
local spotcounter = 0
local diagramlines = 0
local rows = 0
--figure out how many rows are needed
for _,x in pairs(totals) do
if x >= sumdelegates then
rows = rows + 1
end
end
--calculate radius
local radius = 0.3/rows
--calculate positioning
local poslist = {}
for x=1,rows do
--Each row can contain pi/(2asin(2/(3n+4i-2))) spots, where n is the number of rows and i is the number of the current row.
local J = tonumber((tonumber(sumdelegates)/totals[rows])*math.pi)/(2*math.asin((2.0/((((3.0*rows)+4.0)*x)-2.0)))))
--The radius of the ith row in an N-row diagram (Ri) is (3*N+4*i-2)/(4*N)
local R = ((((3.0*rows)+4.0)*x)-2.0)/(4.0*rows)
if J == 1 then
table.insert(poslist,{(math.pi/2.0),(1.75*R),R})
else
for j=0,J do
--The angle to a spot is n.(pi-2sin(r/Ri))/(Ni-1)+sin(r/Ri) where Ni is the number in the arc
--x=R.cos(theta) + 1.75
--y=R.sin(theta)
local angle = tonumber(j) * ((math.pi-2.0)*(math.sin(radius/R)))/(tonumber(J)-1.0)+(math.sin(radius/R))
table.insert(poslist,{angle,R*math.cos(angle)+1.75,R*math.sin(angle)})
end
end
end
local J = sumdelegates - #poslist
local R = (7.0*rows-2.0)/(4.0*rows)
if J == 1 then
table.insert(poslist,{math.pi/2.0,1.75*R,R})
else
for j=0,J do
local angle = tonumber(j) * (math.pi-2.0*math.sin(radius/R))/(tonumber(J)-1.0)+math.sin(radius/R)
table.insert(poslist,{angle,R*math.cos(angle)+1.75,R*math.sin(angle)})
end
end
--table.sort(poslist,function(a, b) return a[2] > b[2] end)
local counter = 1 --how many spots are drawn
local ExportFolder = Instance.new("Folder") --new diagram
ExportFolder.Name = "ParliamentaryDiagram"
for i,x in pairs(PartyList) do
local NewFolder = Instance.new("Folder") --create folder for each individual political party
NewFolder.Name = x[1]
local CircleColor = x[3]
for u=counter,counter+x[2]-1 do
local NewPart = Instance.new("Part") --each part represents each representative in political party
NewPart.Anchored = true
NewPart.Parent = NewFolder
NewPart.Color = CircleColor
--print(counter .. " " .. #poslist)
NewPart.CFrame = CFrame.new(10.0*(1.75-poslist[counter][3])+5.0,0,poslist[counter][2]*10.0+5.0) --CFrame.new(100.0*(1.75-poslist[counter][3])+5.0,0,poslist[counter][2]*100.0+5.0) --CFrame.new(poslist[u][2]*100.0+5.0,0,100.0*(1.75-poslist[u][3])+5.0)
NewPart.Size = Vector3.new(radius*100.0,0.1,radius*100.0)
NewPart.Orientation = Vector3.new(0, 0, 0)
counter = counter +1
end
NewFolder.Parent = ExportFolder
end
ExportFolder.Parent = viewportframe
end
end