--- /dev/null
+"""Some handy algorithms for use in games, etc.
+
+Please note that this file is alpha, and is subject to modification in
+future versions of pgu!
+"""
+
+# The manhattan distance metric
+def manhattan_dist(a,b):
+ return abs(a[0]-b[0]) + abs(a[1]-b[1])
+
+class node:
+ def __init__(self, prev, pos, dest, dist):
+ self.prev,self.pos,self.dest = prev,pos,dest
+ if self.prev == None: self.g = 0
+ else: self.g = self.prev.g + 1
+ self.h = dist(pos,dest)
+ self.f = self.g+self.h
+
+
+def astar(start,end,layer,dist=manhattan_dist):
+ """Uses the a* algorithm to find a path, and returns a list of positions
+ from start to end.
+
+ Arguments:
+ start -- start position
+ end -- end position
+ layer -- a grid where zero cells are open and non-zero cells are walls
+ dist -- a distance function dist(a,b) - manhattan distance is used
+ by default
+
+ """
+
+ w,h = len(layer[0]),len(layer)
+ if start[0] < 0 or start[1] < 0 or start[0] >= w or start[1] >= h:
+ return [] #start outside of layer
+ if end[0] < 0 or end[1] < 0 or end[0] >= w or end[1] >= h:
+ return [] #end outside of layer
+
+ if layer[start[1]][start[0]]:
+ return [] #start is blocked
+ if layer[end[1]][end[0]]:
+ return [] #end is blocked
+
+ opens = []
+ open = {}
+ closed = {}
+ cur = node(None, start, end, dist)
+ open[cur.pos] = cur
+ opens.append(cur)
+ while len(open):
+ cur = opens.pop(0)
+ if cur.pos not in open: continue
+ del open[cur.pos]
+ closed[cur.pos] = cur
+ if cur.pos == end: break
+ for dx,dy in [(0,-1),(1,0),(0,1),(-1,0)]:#(-1,-1),(1,-1),(-1,1),(1,1)]:
+ pos = cur.pos[0]+dx,cur.pos[1]+dy
+ # Check if the point lies in the grid
+ if (pos[0] < 0 or pos[1] < 0 or
+ pos[0] >= w or pos[1] >= h or
+ layer[pos[0]][pos[1]]):
+ continue
+ #check for blocks of diagonals
+ if layer[cur.pos[1]+dy][cur.pos[0]]: continue
+ if layer[cur.pos[1]][cur.pos[0]+dx]: continue
+ new = node(cur, pos, end, dist)
+ if pos in open and new.f >= open[pos].f: continue
+ if pos in closed and new.f >= closed[pos].f: continue
+ if pos in open: del open[pos]
+ if pos in closed: del closed[pos]
+ open[pos] = new
+ lo = 0
+ hi = len(opens)
+ while lo < hi:
+ mid = (lo+hi)/2
+ if new.f < opens[mid].f: hi = mid
+ else: lo = mid + 1
+ opens.insert(lo,new)
+
+ if cur.pos != end:
+ return []
+
+ path = []
+ while cur.prev != None:
+ path.append(cur.pos)
+ cur = cur.prev
+ path.reverse()
+ return path
+
+
+def getline(a,b):
+ """Returns a path of points from a to b
+
+ Arguments:
+ a -- starting point
+ b -- ending point
+
+ """
+
+ path = []
+
+ x1,y1 = a
+ x2,y2 = b
+ dx,dy = abs(x2-x1),abs(y2-y1)
+
+ if x2 >= x1: xi1,xi2 = 1,1
+ else: xi1,xi2 = -1,-1
+
+ if y2 >= y1: yi1,yi2 = 1,1
+ else: yi1,yi2 = -1,-1
+
+ if dx >= dy:
+ xi1,yi2 = 0,0
+ d = dx
+ n = dx/2
+ a = dy
+ p = dx
+ else:
+ xi2,yi1 = 0,0
+ d = dy
+ n = dy/2
+ a = dx
+ p = dy
+
+ x,y = x1,y1
+ c = 0
+ while c <= p:
+ path.append((x,y))
+ n += a
+ if n > d:
+ n -= d
+ x += xi1
+ y += yi1
+ x += xi2
+ y += yi2
+ c += 1
+ return path
+