mirror of
https://github.com/kepler155c/opus
synced 2024-12-29 10:00:26 +00:00
89 lines
2.8 KiB
Lua
89 lines
2.8 KiB
Lua
|
-- Astar algorithm
|
||
|
-- This actual implementation of A-star is based on
|
||
|
-- [Nash A. & al. pseudocode](http://aigamedev.com/open/tutorials/theta-star-any-angle-paths/)
|
||
|
|
||
|
if (...) then
|
||
|
|
||
|
-- Internalization
|
||
|
local ipairs = ipairs
|
||
|
local huge = math.huge
|
||
|
|
||
|
-- Dependancies
|
||
|
local _PATH = (...):match('(.+)%.search.astar$')
|
||
|
local Heuristics = require (_PATH .. '.core.heuristics')
|
||
|
local Heap = require (_PATH.. '.core.bheap')
|
||
|
|
||
|
-- Updates G-cost
|
||
|
local function computeCost(node, neighbour, finder, clearance, heuristic)
|
||
|
local mCost, heading = heuristic(neighbour, node) -- Heuristics.EUCLIDIAN(neighbour, node)
|
||
|
|
||
|
if node._g + mCost < neighbour._g then
|
||
|
neighbour._parent = node
|
||
|
neighbour._g = node._g + mCost
|
||
|
neighbour._heading = heading
|
||
|
end
|
||
|
end
|
||
|
|
||
|
-- Updates vertex node-neighbour
|
||
|
local function updateVertex(finder, openList, node, neighbour, endNode, clearance, heuristic, overrideCostEval)
|
||
|
local oldG = neighbour._g
|
||
|
local cmpCost = overrideCostEval or computeCost
|
||
|
cmpCost(node, neighbour, finder, clearance, heuristic)
|
||
|
if neighbour._g < oldG then
|
||
|
local nClearance = neighbour._clearance[finder._walkable]
|
||
|
local pushThisNode = clearance and nClearance and (nClearance >= clearance)
|
||
|
if (clearance and pushThisNode) or (not clearance) then
|
||
|
if neighbour._opened then neighbour._opened = false end
|
||
|
neighbour._h = heuristic(endNode, neighbour)
|
||
|
neighbour._f = neighbour._g + neighbour._h
|
||
|
openList:push(neighbour)
|
||
|
neighbour._opened = true
|
||
|
end
|
||
|
end
|
||
|
end
|
||
|
|
||
|
-- Calculates a path.
|
||
|
-- Returns the path from location `<startX, startY>` to location `<endX, endY>`.
|
||
|
return function (finder, startNode, endNode, clearance, toClear, overrideHeuristic, overrideCostEval)
|
||
|
|
||
|
local heuristic = overrideHeuristic or finder._heuristic
|
||
|
local openList = Heap()
|
||
|
startNode._g = 0
|
||
|
startNode._h = heuristic(endNode, startNode)
|
||
|
startNode._f = startNode._g + startNode._h
|
||
|
openList:push(startNode)
|
||
|
toClear[startNode] = true
|
||
|
startNode._opened = true
|
||
|
|
||
|
while not openList:empty() do
|
||
|
local node = openList:pop()
|
||
|
node._closed = true
|
||
|
if node == endNode then return node end
|
||
|
local neighbours = finder._grid:getNeighbours(node, finder._walkable, finder._allowDiagonal, finder._tunnel)
|
||
|
for i = 1,#neighbours do
|
||
|
local neighbour = neighbours[i]
|
||
|
if not neighbour._closed then
|
||
|
toClear[neighbour] = true
|
||
|
if not neighbour._opened then
|
||
|
neighbour._g = huge
|
||
|
neighbour._parent = nil
|
||
|
end
|
||
|
updateVertex(finder, openList, node, neighbour, endNode, clearance, heuristic, overrideCostEval)
|
||
|
end
|
||
|
end
|
||
|
|
||
|
--[[
|
||
|
printf('x:%d y:%d z:%d g:%d', node._x, node._y, node._z, node._g)
|
||
|
for i = 1,#neighbours do
|
||
|
local n = neighbours[i]
|
||
|
printf('x:%d y:%d z:%d f:%f g:%f h:%d', n._x, n._y, n._z, n._f, n._g, n._heading or -1)
|
||
|
end
|
||
|
--]]
|
||
|
|
||
|
end
|
||
|
|
||
|
return nil
|
||
|
end
|
||
|
|
||
|
end
|