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main.lua
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main.lua
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function love.run()
if love.math then
love.math.setRandomSeed(os.time())
end
if love.load then love.load(arg) end
function love.run()
if love.math then
love.math.setRandomSeed(os.time())
end
if love.load then love.load(arg) end
-- We don't want the first frame's dt to include time taken by love.load.
if love.timer then love.timer.step() end
local dt = 0
-- Main loop time.
while true do
-- Process events.
if love.event then
love.event.pump()
for name, a,b,c,d,e,f in love.event.poll() do
if name == "quit" then
if not love.quit or not love.quit() then
return a
end
end
love.handlers[name](a,b,c,d,e,f)
end
end
-- Update dt, as we'll be passing it to update
if love.timer then
love.timer.step()
dt = love.timer.getDelta()
end
-- Call update and draw
if love.update then love.update(dt) end -- will pass 0 if love.timer is disabled
if love.graphics and love.graphics.isActive() then
love.graphics.clear(love.graphics.getBackgroundColor())
love.graphics.origin()
if love.draw then love.draw() end
love.graphics.present()
end
if love.timer then love.timer.sleep(0.001) end
end
end
function love.load()
-- Window Dimensions
screen = {width = 1500, height = 900}
-- Window Setup
love.window.setTitle('Dubby Pendy')
love.window.setMode(screen.width, screen.height)
function directSum(a, b)
local c = {}
for i,v in pairs(a) do
c[i] = a[i] + b[i]
end
return c
end
function scalarMultiply(scalar, table)
local output = {}
for i,v in pairs(table) do
output[i] = scalar*table[i]
end
return output
end
past = false
function Generator(seed)
local self = {}
if not seed then
-- self.m1 = 5
-- self.m2 = 5
-- self.l1 = 5
-- self.l2 = 5
-- self.t1 = 60*math.pi/180
-- self.t2 = 31*math.pi/180
-- self.o1 = 2
-- self.o2 = 2
self.m1 = love.math.random( 3, 10 )
self.m2 = love.math.random( 3, 10 )
self.l1 = love.math.random( 3, 10 )
self.l2 = love.math.random( 1, 10 )
self.t1 = love.math.random( -2*math.pi, 2*math.pi )
self.t2 = love.math.random( -2*math.pi, 2*math.pi )
self.o1 = love.math.random( -4, 4 )
self.o2 = love.math.random( -2, 2 )
else
local params = {"m1", "m2", "l1", "l2", "t1", "t2", "o1", "o2"}
local i = 1;
for param in string.gmatch(seed, "[^ ]+") do
param = tonumber(param)
if type(param)~="number" or not (params[i]) then error("Tried to load something invalid") end
self[params[i]] = param;
i=i+1
end
end
self.p1 = (self.m1+self.m2)*(math.pow(self.l1, 2))*self.o1 + self.m2*self.l1*self.l2*self.o2*math.cos(self.t1-self.t2)
self.p2 = self.m2*(math.pow(self.l2, 2))*self.o2 + self.m2*self.l1*self.l2*self.o1*math.cos(self.t1-self.t2)
currentSeed = self.m1 .. " " ..
self.m2 .. " " ..
self.l1 .. " " ..
self.l2 .. " " ..
self.t1 .. " " ..
self.t2 .. " " ..
self.o1 .. " " ..
self.o2
print("data is "..currentSeed)
return self
end
data = Generator()
function Hamiltonian(phase, data)
local g = 10
local update = {}
t1 = phase[1]
t2 = phase[2]
p1 = phase[3]
p2 = phase[4]
C0 = data.l1*data.l2*(data.m1 + data.m2*math.pow(math.sin(t1-t2),2))
C1 = (p1*p2*math.sin(t1-t2)) / C0
C2 = (data.m2*(math.pow(data.l2*p1, 2)) + (data.m1+data.m2)*(math.pow(data.l1*p2, 2)) - 2*data.l1*data.l2*data.m2*p1*p2*math.cos(t1-t2))*math.sin(2*(t1-t2)) / (2*(math.pow(C0,2)))
-- Time derivatives
update[1] = (data.l2*p1 - data.l1*p2*math.cos(t1-t2)) / (data.l1*C0)
update[2] = (data.l1*(data.m1+data.m2)*p2 - data.l2*data.m2*p1*math.cos(t1-t2)) / (data.l2*data.m2*C0)
update[3] = -(data.m1 + data.m2)*g*data.l1*math.sin(t1) - C1 + C2
update[4] = -data.m2*g*data.l2*math.sin(t2) + C1 - C2
return update
end
function Solver(data, dt)
local phase = {data.t1, data.t2, data.p1, data.p2}
local k1 = Hamiltonian(phase, data)
local k2 = Hamiltonian(directSum(phase, scalarMultiply(dt/2, k1)), data)
local k3 = Hamiltonian(directSum(phase, scalarMultiply(dt/2, k2)), data)
local k4 = Hamiltonian(directSum(phase, scalarMultiply(dt, k3)), data)
local R = scalarMultiply(1/6 * dt, directSum(directSum(k1, scalarMultiply(2.0, k2)), directSum(scalarMultiply(2.0, k3), k4)))
data.t1 = data.t1 + R[1]
data.t2 = data.t2 + R[2]
data.p1 = data.p1 + R[3]
data.p2 = data.p2 + R[4]
return data
end
function map(func, table)
local ntable = {}
for k,v in pairs(table) do
ntable[k] = func(v)
end
return ntable
end
function polarToBizarreCartesian(r,theta)
local coords = {r*math.sin(theta), r*math.cos(theta)}
return coords
end
function getDimensions(input)
frac1 = 15*(input.m1/(input.m1 + input.m2))
frac2 = 15*(input.m2/(input.m1 + input.m2))
bob1 = 0.85 * math.min(screen.width/2, screen.height/4) * (input.l1 / (input.l1 + input.l2))
bob2 = 0.85 * math.min(screen.width/2, screen.height/4) * (input.l2 / (input.l1 + input.l2))
return frac1, frac2, bob1, bob2
end
R1, R2, P1, P2 = getDimensions(data)
function updatePosition(data)
local pos0 = {screen.width/2, screen.height/4}
local pos1 = polarToBizarreCartesian(P1, data.t1)
local pos2 = polarToBizarreCartesian(P2, data.t2)
local B1 = directSum(pos0, pos1)
local B2 = directSum(B1, pos2)
return B1, B2
end
function graphCoordinates(data)
local pos0 = {screen.width/2, 3*screen.height/4}
local pos1 = {0.5 * math.min(screen.width/2, screen.height/4) * data.t1/(2*math.pi), 0.85 * math.min(screen.width/2, screen.height/4) * data.p1/(200*(data.m1 + data.m2))}
local pos2 = {0.5 * math.min(screen.width/2, screen.height/4) * data.t2/(2*math.pi), 0.85 * math.min(screen.width/2, screen.height/4) * data.p2/(200*(data.m1 + data.m2))}
-- math.sqrt(math.pow(data.p1,2) + math.pow(data.p2,2))
-- math.sqrt(math.pow(data.p1,2) + math.pow(data.p2,2))
local X1 = directSum(pos0, pos1)
local X2 = directSum(pos0, pos2)
return X1, X2
end
canvas_upper = love.graphics.newCanvas()
canvas_lower = love.graphics.newCanvas()
end
function love.update()
local dt = 0.03;
updates = Solver(data, dt)
B1, B2 = updatePosition(updates)
G1, G2 = graphCoordinates(data)
t1, p1, t2, p2 = G1[1], G1[2], G2[1], G2[2]
x1, y1, x2, y2 = B1[1], B1[2], B2[1], B2[2]
end
function love.draw()
drawBackground()
love.graphics.setCanvas()
drawGraphs()
end
function drawGraphs()
love.graphics.setCanvas(canvas_lower)
-- love.graphics.setCanvas
-- love.graphics.setColor(1, 0.35, 0)
-- Inner bob particle track
--love.graphics.circle("fill", x1, y1, 2, 200)
if not past then past = {} else
love.graphics.setColor(1, 0.5, 0)
-- Axis plot
love.graphics.line(past.t1, past.p1, t1, p1)
-- Inner bob path
--love.graphics.line(past.x1, past.y1, x1, y1)
love.graphics.setColor(0.4, 0.7, 1)
-- Axis plot
love.graphics.line(past.t2, past.p2, t2, p2)
-- if p2 <= screen.height/2 or p2 >= screen.height then
-- love.graphics.scale(1.1, 1.1)
-- end
-- Outer bob path
love.graphics.setCanvas(canvas_upper)
love.graphics.line(past.x2, past.y2, x2, y2)
love.graphics.circle("fill", x2, y2, 2)
end
past.x2, past.y2, past.x1, past.y1 = x2, y2, x1, y1
past.p2, past.t2, past.p1, past.t1 = p2, t2, p1, t1
love.graphics.setColor(1, 1, 1)
love.graphics.draw(canvas_upper)
love.graphics.draw(canvas_lower, 0, 0, 0, 1, 1, canvas_lower:getWidth()/2, canvas_lower:getHeight()/2, 0, screen.height/2)
end
function drawBackground()
filename = "cmunss.ttf"
size = 15
love.graphics.setNewFont(filename, size)
love.graphics.setBackgroundColor(0.15,0.15,0.15)
--Lines
love.graphics.setColor(0.9, 0.9, 0.9)
love.graphics.setLineWidth( 2 )
love.graphics.line(screen.width/2, screen.height/4, x1, y1)
love.graphics.line(x1, y1, x2, y2)
love.graphics.setLineWidth( 0 )
love.graphics.setColor(0.4, 1, 0.7)
-- Divider
love.graphics.line(0, screen.height/2, screen.width, screen.height/2)
--Graph
love.graphics.setColor(1, 1, 1, 0.8)
love.graphics.setLineWidth(1)
-- Axes
love.graphics.line(screen.width/2, screen.height/2, screen.width/2, screen.height)
love.graphics.line(0, 3*screen.height/4, screen.width, 3*screen.height/4)
-- Bottom arrow
love.graphics.polygon('fill', (1 - 0.008)*screen.width/2, (1 - 0.015)*screen.height, (1 + 0.008)*screen.width/2, (1 - 0.015)*screen.height, screen.width/2, screen.height)
-- Top arrow
love.graphics.polygon('fill', (1 - 0.008)*screen.width/2, (1 + 0.03)*screen.height/2, (1 + 0.008)*screen.width/2, (1 + 0.03)*screen.height/2, screen.width/2, screen.height/2)
-- Left arrow
love.graphics.polygon('fill', 0.01*screen.width, (1 + 0.008)*3*screen.height/4, 0.01*screen.width, (1 - 0.008)*3*screen.height/4, 0, 3*screen.height/4)
-- Right arrow
love.graphics.polygon('fill', (1-0.01)*screen.width, (1 + 0.008)*3*screen.height/4, (1 - 0.01)*screen.width, (1 - 0.008)*3*screen.height/4, screen.width, 3*screen.height/4)
-- X-ticks
-- love.graphics.line(screen.width/2 + 10*math.pi, (1 - 0.008)*3*screen.height/4, screen.width/2 + 10*math.pi, (1 + 0.008)*3*screen.height/4)
-- Labels
love.graphics.print("p", (1 + 0.015)*screen.width/2, (1 + 0.025)*screen.height/2)
love.graphics.print("θ", (1 - 0.02)*screen.width, (1 - 0.03)*3*screen.height/4)
love.graphics.setLineWidth(0)
--Bobs
--Blue
love.graphics.setColor(0.4, 0.7, 1)
love.graphics.circle("fill", x2, y2, R2)
--Orange
love.graphics.setColor(1, 0.5, 0)
love.graphics.circle("fill", x1, y1, R1)
love.graphics.setColor(1, 1, 0)
--Center
love.graphics.circle("fill", screen.width/2, screen.height/4, 2)
love.graphics.setColor(1, 1, 1)
love.graphics.print("Current FPS: "..tostring(love.timer.getFPS( )), 0, 0)
love.graphics.print("Angular Momentum of Red Bob: "..tostring(updates.p1), 0, 15)
love.graphics.print("Angular Momentum of Blue Bob: "..tostring(updates.p2), 0, 30)
love.graphics.print("Random Input", 38, 72)
love.graphics.print("Mouse Coordinates:"..tostring(love.mouse.getX())..tostring(love.mouse.getY()), 0, 50)
love.graphics.setColor(1, 1, 1, 0.3)
love.graphics.rectangle("fill", 20, 70, 120, 20)
end
function displaySeed()
pause()
love.window.showMessageBox("Seed", "Seed copied to clipboard", "info", false)
pause(not paused)
print("Saving...")
love.system.setClipboardText(currentSeed)
end
function reset(seed)
past = false
love.graphics.setCanvas(canvas_upper)
love.graphics.clear()
love.graphics.setCanvas(canvas_lower)
love.graphics.clear()
love.graphics.setCanvas()
if seed then
love.window.showMessageBox("Loaded", "Loaded seed from clipboard: "..seed, "info", true)
print("Loading...")
end
data = Generator(seed)
R1, R2, P1, P2 = getDimensions(data)
end
fullscreen = false;
paused = false;
justdoit = love.update
function pause(resume)
if resume then
love.update = justdoit
else
love.update = nil
end
end
function love.keypressed(key, isrepeat)
-- Reset
if key=="r" then
reset()
-- Fullscreen
elseif key == "f" then
fullscreen = not fullscreen
success = love.window.setFullscreen(fullscreen,"desktop")
-- Save seed
elseif key == "s" then
displaySeed()
-- Load seed
elseif key == "l" then
local seed = love.system.getClipboardText();
reset(seed)
-- Pause
elseif key == "space" then
pause(paused)
paused = not paused;
-- Clear canvas
elseif key == "d" then
love.graphics.setCanvas(canvas_upper)
love.graphics.clear()
love.graphics.setCanvas(canvas_lower)
love.graphics.clear()
love.graphics.setCanvas()
elseif key == "q" then
love.event.quit()
end
end
-- function love.mousepressed(x, y, button, istouch)
-- if ((20 <= x or x <= 20+120) and (70 <= y or y <= 70+20)) then
-- reset()
-- end
-- end
--Flower
--7 10 8 6 -3.28 -5.28 4 -2
--Wavey
--8 5 3 5 -1.28 6.72 -3 2
--Loopy
--3 7 5 5 -1.28 -4.28 4 2
--Patrick
--4 8 3 7 120.06776159731 -9.9019489420537 -3 1
-- CUCK
--9 9 5 3 -6.28 4.72 2 -1
-- Old Atom
-- 8 6 5 6 -6.28 2.72 -3 2
--Chiyochichi?
--5 10 4 10 3.72 -1.28 -4 0
--Heart
--10 4 7 8 -4.28 0.72 1 2
-- SHMish
--3 10 10 1 4.72 4.72 0 0
--Decent Phase Space
--10 8 4 9 -1.2831853071796 -3.2831853071796 2 0
--5 5 4 4 3.7168146928204 -4.2831853071796 1 0
--6 8 9 8 -5.2831853071796 2.7168146928204 1 2
--6 1 9 1 1.1 1 1 1
-- We don't want the first frame's dt to include time taken by love.load.
if love.timer then love.timer.step() end
local dt = 0
-- Main loop time.
while true do
-- Process events.
if love.event then
love.event.pump()
for name, a,b,c,d,e,f in love.event.poll() do
if name == "quit" then
if not love.quit or not love.quit() then
return a
end
end
love.handlers[name](a,b,c,d,e,f)
end
end
-- Update dt, as we'll be passing it to update
if love.timer then
love.timer.step()
dt = love.timer.getDelta()
end
-- Call update and draw
if love.update then love.update(dt) end -- will pass 0 if love.timer is disabled
if love.graphics and love.graphics.isActive() then
love.graphics.clear(love.graphics.getBackgroundColor())
love.graphics.origin()
if love.draw then love.draw() end
love.graphics.present()
end
if love.timer then love.timer.sleep(0.001) end
end
end
function love.load()
-- Window Dimensions
screen = {width = 800, height = 600}
-- Window Setup
love.window.setTitle('Dubby Pendy')
love.window.setMode(screen.width, screen.height)
g = 10
function directSum(a, b)
local c = {}
for i,v in pairs(a) do
c[i] = a[i] + b[i]
end
return c
end
function scalarMultiply(scalar, table)
local output = {}
for i,v in pairs(table) do
output[i] = scalar*table[i]
end
return output
end
past = false
function Generator(seed)
local self = {}
if not seed then
self.m1 = love.math.random( 3, 10 )
self.m2 = love.math.random( 3, 10 )
self.l1 = love.math.random( 3, 10 )
self.l2 = love.math.random( 1, 10 )
self.t1 = love.math.random( -6.28, 6.28 )
self.t2 = love.math.random( -6.28, 6.28 )
self.o1 = love.math.random( -4, 4 )
self.o2 = love.math.random( -2, 2 )
else
local params = {"m1", "m2", "l1", "l2", "t1", "t2", "o1", "o2"}
local i = 1;
for param in string.gmatch(seed, "[^ ]+") do
param = tonumber(param)
if type(param)~="number" or not (params[i]) then error("Tried to load something invalid") end
self[params[i]] = param;
i=i+1
end
end
self.p1 = (self.m1+self.m2)*(math.pow(self.l1, 2))*self.o1 + self.m2*self.l1*self.l2*self.o2*math.cos(self.t1-self.t2)
self.p2 = self.m2*(math.pow(self.l2, 2))*self.o2 + self.m2*self.l1*self.l2*self.o1*math.cos(self.t1-self.t2)
currentSeed = self.m1 .. " " ..
self.m2 .. " " ..
self.l1 .. " " ..
self.l2 .. " " ..
self.t1 .. " " ..
self.t2 .. " " ..
self.o1 .. " " ..
self.o2
print("data is "..currentSeed)
return self
end
data = Generator()
function Solver(dt)
local phase = {data.t1, data.t2, data.p1, data.p2}
local k1 = Hamiltonian(phase, data)
local k2 = Hamiltonian(directSum(phase, scalarMultiply(dt/2, k1)), data)
local k3 = Hamiltonian(directSum(phase, scalarMultiply(dt/2, k2)), data)
local k4 = Hamiltonian(directSum(phase, scalarMultiply(dt, k3)), data)
local R = scalarMultiply(1/6 * dt, directSum(directSum(k1, scalarMultiply(2.0, k2)), directSum(scalarMultiply(2.0, k3), k4)))
data.t1 = data.t1 + R[1]
data.t2 = data.t2 + R[2]
data.p1 = data.p1 + R[3]
data.p2 = data.p2 + R[4]
end
function Hamiltonian(phase, data)
local update = {}
t1 = phase[1]
t2 = phase[2]
p1 = phase[3]
p2 = phase[4]
C0 = data.l1*data.l2*(data.m1 + data.m2*math.pow(math.sin(t1-t2),2))
C1 = (p1*p2*math.sin(t1-t2)) / C0
C2 = (data.m2*(math.pow(data.l2*p1, 2)) + (data.m1+data.m2)*(math.pow(data.l1*p2, 2)) - 2*data.l1*data.l2*data.m2*p1*p2*math.cos(t1-t2))*math.sin(2*(t1-t2)) /(2*(math.pow(C0,2)))
-- Time derivatives
update[1] = (data.l2*p1 - data.l1*p2*math.cos(t1-t2)) / (data.l1*C0)
update[2] = (data.l1*(data.m1+data.m2)*p2 - data.l2*data.m2*p1*math.cos(t1-t2)) / (data.l2*data.m2*C0)
update[3] = -(data.m1 + data.m2)*g*data.l1*math.sin(t1) - C1 + C2
update[4] = -data.m2*g*data.l2*math.sin(t2) + C1 - C2
return update
end
function getDimensions(input)
R1 = 15*(input.m1/(input.m1 + input.m2))
R2 = 15*(input.m2/(input.m1 + input.m2))
P1 = 0.85 * math.min(screen.width/2, screen.height/2) * (input.l1 / (input.l1 + input.l2))
P2 = 0.85 * math.min(screen.width/2, screen.height/2) * (input.l2 / (input.l1 + input.l2))
local pos0 = {screen.width/2, screen.height/2}
local pos1 = {P1*math.sin(input.t1), P1*math.cos(input.t1)}
local pos2 = {P2*math.sin(input.t2), P2*math.cos(input.t2)}
local B1 = directSum(pos0, pos1)
local B2 = directSum(B1, pos2)
return R1, R2, P1, P2
end
R1, R2, P1, P2 = getDimensions(data)
function updatePosition()
local pos0 = {screen.width/2, screen.height/2}
local pos1 = {P1*math.sin(data.t1), P1*math.cos(data.t1)}
local pos2 = {P2*math.sin(data.t2), P2*math.cos(data.t2)}
B1 = directSum(pos0, pos1)
B2 = directSum(B1, pos2)
return B1, B2
end
canvas = love.graphics.newCanvas()
end
function love.update()
local dt = 0.03;
Solver(dt)
B1, B2 = updatePosition()
x1, y1, x2, y2 = B1[1], B1[2], B2[1], B2[2]
end
function love.draw()
love.graphics.setCanvas(canvas)
love.graphics.setColor(255, 100, 0)
--love.graphics.circle("fill", x1, y1, 2, 200)
if not past then past = {} else
--love.graphics.line(past.x1, past.y1, x1, y1)
love.graphics.setColor(0, 100, 255)
love.graphics.line(past.x2, past.y2, x2, y2)
end
past.x2, past.y2 = x2, y2;
past.x1, past.y1 = x1, y1;
love.graphics.setColor(0, 100, 255)
love.graphics.circle("fill", x2, y2, 3, 200)
love.graphics.setCanvas( )
love.graphics.setColor(255, 255, 255)
love.graphics.draw(canvas)
--Lines
love.graphics.setColor(240, 240, 240)
love.graphics.setLineWidth( 4 )
love.graphics.line(screen.width/2, screen.height/2, x1, y1)
love.graphics.line(x1, y1, x2, y2)
love.graphics.setLineWidth(0 )
--Bobs
love.graphics.setColor(0, 100, 255)
love.graphics.circle("fill", x2, y2, R2, 200)
love.graphics.setColor(255, 255, 0)
love.graphics.circle("fill", screen.width/2, screen.height/2, 2, 200)
love.graphics.setColor(255, 100, 0)
love.graphics.circle("fill", x1, y1, R1, 200)
end
function displaySeed()
pause()
love.window.showMessageBox("Seed", "Seed copied to clipboard", "info", false)
pause(not paused)
print("Saving...")
love.system.setClipboardText(currentSeed)
end
function reset(seed)
past = false
love.graphics.setCanvas(canvas)
love.graphics.clear()
love.graphics.setCanvas()
if seed then
love.window.showMessageBox("Loaded", "Loaded seed from clipboard: "..seed, "info", true)
print("Loading...")
end
data = Generator(seed)
getDimensions(data)
end
fullscreen = false;
paused = false;
justdoit = love.update
function pause(resume)
if resume then
love.update = justdoit
else
love.update = nil
end
end
function love.keypressed(kek)
-- Reset
if kek=="space" then
reset()
-- Fullscreen
elseif kek == "f" then
fullscreen = not fullscreen
success = love.window.setFullscreen( fullscreen )
-- Save seed
elseif kek == "s" then
displaySeed()
-- Load seed
elseif kek == "l" then
local seed = love.system.getClipboardText();
reset(seed)
-- Pause
elseif kek == "p" then
pause(paused)
paused = not paused;
-- Clear canvas
elseif kek == "d" then
love.graphics.setCanvas(canvas)
love.graphics.clear()
love.graphics.setCanvas()
end
end