Transformice Hills with Interpolated Noise

-- Noise functions
Noise = {
    SEED = nil,
    PERIOD = 40,
    NUMBER_OF_VERTICES = 4,
    MAX_HEIGHT = 400,
    INTERPOLATION_TYPE = 1,
    generatedNoise = {},
    genNoise =  function(maxVertices)
                    math.random()
                    for i = 0, maxVertices do
                        table.insert(Noise.generatedNoise, math.random())
                    end
                end,
    getInterpolatedNoiseAt =    function(x)
                                    if (x < 1.0 or x >= Noise.PERIOD * Noise.NUMBER_OF_VERTICES) then return 0 end

                                    local x1 = math.floor(x / Noise.PERIOD) + 1
                                    local x2 = math.ceil(x / Noise.PERIOD) + 1
                                    local y1 = Noise.generatedNoise[x1] * Noise.MAX_HEIGHT
                                    local y2 = Noise.generatedNoise[x2] * Noise.MAX_HEIGHT
                                    x1 = x1 * Noise.PERIOD * 10
                                    x2 = x2 * Noise.PERIOD * 10
                                    x = x * 10
                                    local value = nil

                                    if (Noise.INTERPOLATION_TYPE == 0) then
                                        value = ((y2 - y1) / (x2 - x1)) * (x - x1) + y2 -- linear interpolation
                                    elseif (Noise.INTERPOLATION_TYPE == 1) then
                                        value = -(0.5 * (y2 - y1)) * math.sin(math.pi/(x2 - x1)*(x - x1) + 4.72)+(y1 + 0.5 * (y2 - y1)) -- sine interpolation

                                    -- add extra elseif's here for different types of interpolation values you may want
                                    else
                                        value = 0/0 -- no interpolation
                                    end

                                    if (value ~= value) then return y1 else return value end
                                end,
    init =  function()
                if (Noise.SEED == nil) then Noise.SEED = os.time() end
                math.randomseed(Noise.SEED)

                Noise.genNoise(Noise.NUMBER_OF_VERTICES)
            end
}
-- Map manipulation
function newMap()
    Noise.init()

    local mapXML = '<C><P L="1600" /><Z><S>'

    for i = 1, (Noise.NUMBER_OF_VERTICES * Noise.PERIOD) do
        local height = Noise.getInterpolatedNoiseAt(i)
        mapXML = mapXML .. '<S L="10" H="' .. height .. '" X="' .. i * 10 .. '" Y="' .. 400 - (height / 2) .. '" T="6" P="0,0,0.3,0.2,0,0,0,0" />'
    end

    mapXML = mapXML .. '</S><D><DS Y="50" X="50" /></D><O /></Z></C>'

    tfm.exec.newGame(mapXML)
end

-- chat and such
system.disableChatCommandDisplay('seed')

function eventChatCommand(name, cmd)
    if (cmd == 'seed') then
        print('Seed for this terrain : ' .. Noise.SEED)
    end
end

newMap()