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Globals\r\n-- If the target is further than TargetResetFactor from its predicted position,\r\n-- we assume the AI has switched targets and throw out old information.\r\nTargetResetFactor = 30\r\n-- Number of target ticks to store (40=1s).\r\n-- Larger values range against erratic targets at the expense\r\n-- of performance against steadier targets and system memory use.\r\nTargetBufferSize = 150\r\n-- Interval over which to calculate secant velocity (in seconds)\r\nfunction SecantTime(ttt)\r\n   return ttt\r\nend\r\n-- Minimum missile speed to use for calculations (primarily turret aiming and\r\n-- VLM initial guidance). Set this close to a missile's cruise speed.\r\nMinimumMissileSpeed = 100\r\n-- Minimum convergence speed to use in calculations. High values will lead to\r\n-- failure in slow convergences against targets moving faster than the missile;\r\n-- low values may lead to excessive sensitivity to target maneuvers.\r\nMinimumConvergenceSpeed = 50\r\n-- AI to use for targeting\r\nMainframeIndex = 0\r\n-- Minimum secant size.\r\n-- Should always be at least 1/40; not certain whether higher values are beneficial.\r\nMinimumInterval = 1/40\r\n-- Proximity fuse radius. Not configured for frags (likely to detonate beside the target).\r\nProxRadius = 3\r\n\r\n-- Circular buffer\r\nTarget = {}\r\nTarget.Index = -1\r\nTarget.Predicted = {x=0, y=0, z=0}\r\n-- Only needed the first cycle\r\nTarget.Velocity = {x=0, y=0, z=0}\r\nTarget.Wrapped = 0\r\n\r\n-- (a -> b) -> Vector3(a) -> Vector3(b)\r\nfunction map3(f, v, I)\r\n   return I:Maths_CreateVector3(f(v.x), f(v.y), f(v.z))\r\nend\r\n\r\n-- (a -> b -> c) -> Vector3(a) -> Vector3(b) -> Vector3(c)\r\nfunction merge3(f, v1, v2, I)\r\n   return I:Maths_CreateVector3(f(v1.x, v2.x), f(v1.y, v2.y), f(v1.z, v2.z))\r\nend\r\n\r\n--\r\n-- Position -> Speed\r\nfunction Speed(vel)\r\n   return math.sqrt(vel.x^2 + vel.y^2 + vel.z^2)\r\nend\r\n\r\n-- Position -> Position -> Distance\r\nfunction Distance(a,b)\r\n   return math.sqrt((a.x - b.x)^2 + (a.y - b.y)^2 + (a.z - b.z)^2)\r\nend\r\n\r\n-- Position -> Velocity -> Time -> Position\r\nfunction Predict(pos, vel, time, I)\r\n   return merge3(function(p,v) return p + v*time end, pos, vel, I)\r\nend\r\n\r\nfunction UpdateTarget(targetInfo, I)\r\n   -- Probably a new target\r\n   if Distance(Target.Predicted, targetInfo.Position, I) > TargetResetFactor then\r\n      Target.Index = -1\r\n      Target.Wrapped = 0\r\n      Target.Velocity = targetInfo.Velocity\r\n   end\r\n\r\n   -- Update\r\n   if Target.Index < TargetBufferSize then\r\n      Target.Index = Target.Index + 1\r\n   else\r\n      Target.Index = 0\r\n      Target.Wrapped = 1\r\n   end\r\n   Target[Target.Index] = targetInfo.Position\r\n   Target.Predicted = Predict(targetInfo.Position, targetInfo.Velocity, 1/40, I)\r\nend\r\n\r\nfunction PredictSecant(aimpoint, ttt, I)\r\n   --Returns a Vector3 with predicted position\r\n\r\n   -- Calculate the interval to use\r\n   local bufferSize = TargetBufferSize\r\n   if Target.Wrapped == 0 then\r\n      bufferSize = Target.Index\r\n   end\r\n\r\n   local interval =\r\nmath.min(bufferSize, math.floor(math.max(MinimumInterval, SecantTime(ttt))*40)\r\n)\r\n\r\n   local velocity\r\n   if interval == 0 then\r\n      -- New target with little data; use naive TPG\r\n      velocity = Target.Velocity\r\n   else\r\n      -- Use secant approximation to smooth\r\n      local oldPos = Target[(Target.Index - interval + 1) % TargetBufferSize]\r\n      velocity = map3(function(x) return x * (40 / interval) end,\r\n                      merge3(function(a,b) return a - b end,\r\n                             Target[Target.Index], oldPos, I)\r\n, I)\r\n   end\r\n\r\n   local p = Predict(aimpoint, velocity, ttt, I)\r\n   return p\r\nend\r\n\r\nfunction PredictTarget(tInfo, mInfo, I)\r\n   -- Calculates a time at which the missiles potential sphere intersects the\r\n   -- target's track\r\n   local relativePosition = merge3(function(a,b) return a - b end,\r\n                                   tInfo.Position, mInfo.Position, I)\r\n   local distance = Speed(relativePosition)\r\n   local targetAngle =\r\n      I:Maths_AngleBetweenVectors(relativePosition, tInfo.Velocity)\r\n   local targetSpeed = Speed(tInfo.Velocity)\r\n   local missileSpeed = math.max(Speed(mInfo.Velocity), MinimumMissileSpeed)\r\n\r\n   -- Find time to earliest possible convergence point\r\n   local a = targetSpeed^2 - missileSpeed^2\r\n   local b = 2 * targetSpeed * missileSpeed * math.cos(math.rad(targetAngle))\r\n   local c = distance^2\r\n   local det = math.sqrt(b^2-4*a*c)\r\n   local ttt = 0\r\n   if det < 0 then\r\n      -- No converging path\r\n      I:Log('Negative determinant')\r\n      ttt = distance / MinimumConvergenceSpeed\r\n   else\r\n      local root1 = math.min((-b + det)/(2*a), (-b - det)/(2*a))\r\n      local root2 = math.max((-b + det)/(2*a), (-b - det)/(2*a))\r\n      if root1 > 0 then\r\n         ttt = root1\r\n      elseif root2 > 0 then\r\n         ttt = root2\r\n      else\r\n         I:Log('Negative ttt')\r\n         ttt = distance / MinimumConvergenceSpeed\r\n      end\r\n   end\r\n\r\n   -- Find estimated target position.\r\n   return PredictSecant(tInfo.AimPointPosition, ttt, I)\r\nend\r\n\r\nfunction Update(I)\r\n   local target = I:GetTargetInfo(MainframeIndex, 0)\r\n   if not target.Valid then\r\n      -- Nothing to do\r\n      return 0\r\n   end\r\n\r\n   UpdateTarget(target, I)\r\n\r\n   for trans = 0, I:GetLuaTransceiverCount() - 1 do\r\n      for m = 0, I:GetLuaControlledMissileCount(trans) - 1 do\r\n         mInfo = I:GetLuaControlledMissileInfo(trans, m)\r\n\r\n         if Distance(Target[Target.Index]\r\n, mInfo.Position) < ProxRadius then\r\n            I:DetonateLuaControlledMissile(trans,m)\r\n         end\r\n\r\n         tPos = PredictTarget(target, mInfo, I)\r\n         I:SetLuaControlledMissileAimPoint(trans,m,tPos.x,tPos.y,tPos.z)\r\n      end\r\n   end\r\nend"],"BlockStringDataIds":[99854],"GameVersion":"v1.915","BlockCount":431}}