your-own-drum/marble.lua

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Lua
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--Character controller. Renders point particle.
local love = love
local marble = {}
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local oldBuffer = love.graphics.newCanvas()
local newBuffer = love.graphics.newCanvas()
local oldState, curState, newState
local INERTIA = 0.01
local MAXSPEED = 6
local ddx, ddy = 0.0, 0.0
local function State( )
return { t = 0, x = 0, y = 0, dx = 0, dy = 0 }
end
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function marble.Current() return curState end
function marble.Next() return newState end
function marble.GetAcceleration( ) return ddx, ddy end
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function marble.SetAcceleration( x, y ) ddx = x; ddy = y end
function marble.Integrate( step )
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newState.t = curState.t + step
newState.dx = (1.0 - INERTIA) * curState.dx + INERTIA * ddx
newState.dy = (1.0 - INERTIA) * curState.dy + INERTIA * ddy
newState.x = curState.x + newState.dx * step * MAXSPEED
newState.y = curState.y + newState.dy * step * MAXSPEED
end
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function marble.OnImpact( impact, level )
--Adjust current trajectory according to collision.
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if not impact.dt then return end
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INERTIA = 0.03 - 0.02 * math.sqrt( level / 120.0 )
MAXSPEED = 2.0 + 4.0 * ( level / 120.0 )
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local x, y = impact.r * math.cos( impact.th ), impact.r * math.sin( impact.th )
local vx, vy = newState.dx, newState.dy --Velocity of particle going into collision.
local unx, uny = math.cos( impact.normal ), math.sin( impact.normal ) --Outward-facing normal of wave.
local uvx, uvy --Unit vector velocity of particle.
local speed = math.sqrt( vx * vx + vy * vy )
if speed < 0.01 then
--If the marble is motionless, there is no angular velocity wrt 0,
--so the wave is headed directly inward.
--We handle the collision as if the marble is headed directly outward.
uvx, uvy = unx, uny
vx, vy = uvx, uvy
else
uvx, uvy = vx / speed , vy / speed
end
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--Get signed angle between normal and incoming velocity (both unit vectors)
local dot = unx * uvy - uny * uvx
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--Fudge factor: apply an impulse inward so that you don't stick or slide on the wave.
local inward = ( dot > 0 ) and dot or -dot
inward = inward * inward * inward
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--Calculate the rotation matrix:
--counterclockwise rotation by 2 * pi - 2 * arccos( n dot v )
local c, s = 1 - 2 * dot * dot, - 2 * dot * math.sqrt( 1 - dot * dot )
--Apply:
local vxout, vyout =
inward * (- math.cos(impact.th) ) - (1.0 - inward) * ( vx * c - vy * s ),
inward * (- math.sin(impact.th) ) - (1.0 - inward) * ( x * s + vy * c )
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curState.x, curState.y = x, y
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curState.dx, curState.dy = vxout, vyout
--[[debugRenderImpact = { xi = x, yi = y, xf = x - vx, yf = y - vy,
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xn = 0.2 * unx + x, yn = 0.2 * uny + y,
vxout = x + vxout, vyout = y + vyout}]]
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return marble.Integrate( 1 / 120.0 ) --Hmm! Maybe this should be a fixed step instead for stability's sake.
end
function marble.Update()
--Roll the log.
for k, v in pairs( oldState ) do
oldState[k] = curState[k]
curState[k] = newState[k]
end
end
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function marble.OnKey( w, a, s, d )
--print( w, a, s, d )
ddx = (d and 1.0 or 0.0) - (a and 1.0 or 0.0)
ddy = (w and 1.0 or 0.0) - (s and 1.0 or 0.0)
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--print( tick, ddx, ddy )
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local n = math.sqrt( ddx * ddx + ddy * ddy )
if n < 0.001 then return end
ddx, ddy = ddx / n, ddy / n
end
function marble.OnVictory()
--[[marble.Draw = function()
--Extrapolate forward for slightly smoother rendering.
local dt = love.timer.getTime() - curState.t
marble.Integrate( dt + 1 / 60.0 )
local xp, yp = transform:transformPoint( oldState.x, oldState.y )
local xc, yc = transform:transformPoint( curState.x, curState.y )
local xn, yn = transform:transformPoint( newState.x, newState.y )
love.graphics.setColor( 91 / 255, 206 / 255, 250 / 255, 1.0 ) --Trans blue.
love.graphics.setLineJoin( "bevel" )
love.graphics.setLineStyle( "smooth" )
love.graphics.setLineWidth( 8.0 )
love.graphics.line( xp, yp, xc, yc, xn, yn)
love.graphics.circle( "fill", xn, yn, 4.0 )
love.graphics.setCanvas()
end]]
end
function marble.Draw()
--Extrapolate forward for slightly smoother rendering.
local dt = love.timer.getTime() - curState.t
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marble.Integrate( 2 / 120.0 )
local xp, yp = transform:transformPoint( oldState.x, oldState.y )
local xc, yc = transform:transformPoint( curState.x, curState.y )
local xn, yn = transform:transformPoint( newState.x, newState.y )
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love.graphics.setCanvas( newBuffer )
love.graphics.setColor( 1.0, 1.0, 1.0 , 0.99 ) -- White.
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love.graphics.draw( oldBuffer ) --Time-dependent fade: overlay canvas over itself.
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--Render latest segment in trail.
love.graphics.setColor( 245 / 255, 169 / 255, 184 / 255, 1.0 ) --Trans pink.
--love.graphics.line( xi, yi, xf, yf )
--Segment stuff:
love.graphics.setLineJoin( "bevel" )
love.graphics.setLineStyle( "smooth" )
love.graphics.setLineWidth( 8.0 )
love.graphics.line( xp, yp, xc, yc, xn, yn)
love.graphics.circle( "fill", xn, yn, 4.0 )
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love.graphics.setCanvas( oldBuffer )
love.graphics.clear( 1.0, 1.0, 1.0, 0.0 )
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--Render circle directly to screen.
love.graphics.setCanvas()
love.graphics.draw( newBuffer )
love.graphics.setColor( 1, 1, 1, 1.0 ) --White.
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love.graphics.setLineWidth( 1.0 )
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--love.graphics.circle( "line", xn, yn, 4 )
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oldBuffer, newBuffer = newBuffer, oldBuffer
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end
marble._Draw = marble.Draw
function marble.Impact( impact )
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end
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--Window resize.
function marble.Resize()
newBuffer = love.graphics.newCanvas()
--TODO: render oldBuffer to new newBuffer, but scaled down.
oldBuffer = love.graphics.newCanvas()
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end
function marble.Reset()
INERTIA = 0.05
MAXSPEED = 2.0
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ddx, ddy = 0, 0
oldState, curState, newState = State(), State(), State()
marble.Resize()
marble.Draw = marble._Draw
end
function marble.Canvas()
return newBuffer
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end
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marble.Reset()
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return marble