LÖVE

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local mousePos = vector( love.mouse.getX(), love.mouse.getY() )
local dir = self.pos - mousePos

local targetAngle = -math.atan2( dir.x, dir.y ) / (math.pi / 180)
local curAngle = self.top_angle

if curAngle < 0 then
	curAngle = curAngle + 360
end

if targetAngle < 0 then
	targetAngle = targetAngle + 360
end

local a = curAngle - targetAngle

if a > 180 then
	a = a - 360
elseif a < -180 then
	a = a + 360
end

local s = dt * 70

if a >= -s - 0.5 and a <= s + 0.5 then
	self.top_angle = targetAngle
elseif a > s + 0.5 then
	self.top_angle = self.top_angle - s
elseif a < -s - 0.5 then
	self.top_angle = self.top_angle + s
end

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local s = dt * 70

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function dot ( x, y, x2, y2 )
  return x * x2 + y * y2
end

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cos(R) = dot(ax, ay, bx, by)
R = acos(dot(ax, ay, bx, by)

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function length(ax, ay)
  return math.sqrt(ax*ax + ay*ay)
end

cos(R) = dot(ax, ay, bx, by)/(length(ax, ay)*length(bx, by)
R = acos(dot(ax, ay, bx, by)/(length(ax, ay)*length(bx, by)))

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ax, ay = cos(H), math.sin(H)
bx, by = px - tx, py - ty

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function smoothAngle(dt, goal, current, speed)
    local diff = (goal-current+math.pi)%(2*math.pi)-math.pi
    return current + (diff * speed) * dt
end