#!/usr/bin/python3 import lxml.etree, math, sys _, inpath, outpath, basename = sys.argv tree = lxml.etree.parse(inpath) tris = [] edge2tri = {} for polygon in tree.findall("objectgroup[@name='navmesh']/object/polygon"): basex = int(polygon.getparent().attrib["x"]) basey = int(polygon.getparent().attrib["y"]) points=[] for point in polygon.attrib["points"].split(" "): x,y=point.split(",") x,y=int(x)+basex,int(y)+basey points.append((x,y)) #print(points) ax,ay=points[0] bx,by=points[1] cx,cy=points[2] abx,aby=bx-ax,by-ay acx,acy=cx-ax,cy-ay cross = abx*acy-acx*aby # positive for clockwise winding order. Example clockwise winding order: (0,0), (1,0), (0,1) if cross < 0: points = points[0],points[2],points[1] bx,by,cx,cy=cx,cy,bx,by cross = -cross assert len(points)==3, "triangles only" tri_id = len(tris) tris.append(points) for edge in [(points[0],points[1]), (points[1],points[2]), (points[2],points[0])]: edge_id = tuple(sorted(edge)) if edge_id not in edge2tri: edge2tri[edge_id] = [] edge2tri[edge_id].append(tri_id) assert len(edge2tri[edge_id]) <= 2, "more than 2 triangles share edge "+str(edge_id) pathfind_edges = [[] for _ in range(len(tris))] for edgetris in edge2tri.values(): assert len(edgetris) in (1,2) if len(edgetris) == 1: continue t1,t2 = edgetris pathfind_edges[t1].append(t2) pathfind_edges[t2].append(t1) pathfind_matrix = [[255 for _1 in range(len(tris))] for _2 in range(len(tris))] # pathfind_matrix[source][dest] is how to get to dest from source for dest in range(len(tris)): # Find paths to tri by breadth-first search. We don't take the size of the triangle into account yet. openset = [dest] while len(openset)>0: cur, openset = openset[0], openset[1:] for adjacent in pathfind_edges[cur]: if adjacent != dest and pathfind_matrix[adjacent][dest] == 255: pathfind_matrix[adjacent][dest] = cur openset.append(adjacent) out = open(outpath,"w") out.write("#include \"compiled_structures.h\"\n") out.write(f"static const struct navmesh_tri {basename}_triangles[{len(tris)}] = {{\n"); for tri_id,points in enumerate(tris): out.write("\t{\n\t\t{\n"); for a,b,c in [(points[0],points[1],points[2]), (points[1],points[2],points[0]), (points[2],points[0],points[1])]: (ax,ay),(bx,by),(cx,cy) = a,b,c # edge a-b and c is the other point # Line equation Px+Qy+R=0 from https://math.stackexchange.com/questions/422602/convert-two-points-to-line-eq-ax-by-c-0 P,Q,R=ay-by,bx-ax,ax*by-bx*ay # Line equation >0 for points inside the triangle. # Normalize so that P^2+Q^2=1 so that the equation result tells us the distance. This can be used to find the closest triangle to a point. norm=1/math.sqrt(P*P+Q*Q) P *= norm Q *= norm R *= norm edge_id = tuple(sorted((a,b))) tris_on_edge = edge2tri[edge_id] assert len(tris_on_edge) in (1,2) assert tri_id in tris_on_edge if len(tris_on_edge) == 2: other_tri_id = [x for x in tris_on_edge if x!=tri_id][0] else: other_tri_id = -1 centx, centy = (ax+bx)/2, (ay+by)/2 out.write(f"\t\t\t{{{P},{Q},{R},{other_tri_id},{{{int(centx)},{int(centy)}}}}},\n") out.write("\t\t},\n") out.write("\t\t{" + ",".join(f"{{{x},{y}}}" for x,y in points) + "},\n") out.write("\t},\n"); out.write("};\n") out.write(f"static const unsigned char {basename}_pathfind[{len(tris)*len(tris)}] = {{\n") for dest in range(len(tris)): out.write("\t") for source in range(len(tris)): out.write(str(pathfind_matrix[source][dest])+",") out.write("\n") out.write("};\n") out.write(f"extern const struct navmesh {basename} = {{{len(tris)}, {basename}_triangles, {basename}_pathfind}};\n")