//HEADER_GOES_HERE #include "../types.h" // preallocated nodes, search is terminated after 300 nodes are visited PATHNODE path_nodes[MAXPATHNODES]; // size of the pnode_tblptr stack int gdwCurPathStep; // the number of in-use nodes in path_nodes int gdwCurNodes; /* for reconstructing the path after the A* search is done. The longest * possible path is actually 24 steps, even though we can fit 25 */ int pnode_vals[25]; // a linked list of all visited nodes PATHNODE *pnode_ptr; // a stack for recursively searching nodes PATHNODE *pnode_tblptr[MAXPATHNODES]; // a linked list of the A* frontier, sorted by distance PATHNODE *path_2_nodes; // for iterating over the 8 possible movement directions const char pathxdir[8] = { -1, -1, 1, 1, -1, 0, 1, 0 }; const char pathydir[8] = { -1, 1, -1, 1, 0, -1, 0, 1 }; /* data */ /* each step direction is assigned a number like this: * dx * -1 0 1 * +----- * -1|5 1 6 * dy 0|2 0 3 * 1|8 4 7 */ char path_directions[9] = { 5, 1, 6, 2, 0, 3, 8, 4, 7 }; /* find the shortest path from (sx,sy) to (dx,dy), using PosOk(PosOkArg,x,y) to * check that each step is a valid position. Store the step directions (see * path_directions) in path, which must have room for 24 steps */ int __fastcall FindPath(BOOL(__fastcall *PosOk)(int, int, int), int PosOkArg, int sx, int sy, int dx, int dy, char *path) { PATHNODE *path_start; // esi char initial_h; // al PATHNODE *next_node; // eax int result; // eax PATHNODE *current; // edx PATHNODE **previous; // eax int path_length; // edi BOOLEAN path_is_full; // zf int *step_ptr; // ecx char step; // dl // clear all nodes, create root nodes for the visited/frontier linked lists gdwCurNodes = 0; path_2_nodes = path_new_step(); gdwCurPathStep = 0; pnode_ptr = path_new_step(); path_start = path_new_step(); path_start->g = 0; initial_h = path_get_h_cost(sx, sy, dx, dy); path_start->h = initial_h; path_start->x = sx; path_start->f = initial_h + path_start->g; path_start->y = sy; path_2_nodes->NextNode = path_start; // A* search until we find (dx,dy) or fail while (TRUE) { next_node = GetNextPath(); // frontier is empty, no path! if (!next_node) return 0; // reached the end, success! if (next_node->x == dx && next_node->y == dy) break; // ran out of nodes, abort! if (!path_get_path(PosOk, PosOkArg, next_node, dx, dy)) return 0; } current = next_node; previous = &next_node->Parent; path_length = 0; if (*previous) { while (TRUE) { path_is_full = path_length == 25; if (path_length >= 25) break; pnode_vals[++path_length - 1] = path_directions[3 * (current->y - (*previous)->y) - (*previous)->x + 4 + current->x]; current = *previous; previous = &(*previous)->Parent; if (!*previous) { path_is_full = path_length == 25; break; } } if (path_is_full) return 0; } result = 0; if (path_length > 0) { step_ptr = &pnode_vals[path_length - 1]; do { step = *(_BYTE *)step_ptr; --step_ptr; path[result++] = step; } while (result < path_length); } return result; } /* heuristic, estimated cost from (sx,sy) to (dx,dy) */ int __fastcall path_get_h_cost(int sx, int sy, int dx, int dy) { int delta_x = abs(sx - dx); int delta_y = abs(sy - dy); int min = delta_x < delta_y ? delta_x : delta_y; int max = delta_x > delta_y ? delta_x : delta_y; // see path_check_equal for why this is times 2 return 2 * (min + max); } /* return 2 if pPath is horizontally/vertically aligned with (dx,dy), else 3 * * This approximates that diagonal movement on a square grid should have a cost * of sqrt(2). That's approximately 1.5, so they multiply all step costs by 2, * except diagonal steps which are times 3 */ int __fastcall path_check_equal(PATHNODE *pPath, int dx, int dy) { if (pPath->x == dx || pPath->y == dy) return 2; return 3; } /* get the next node on the A* frontier to explore (estimated to be closest to * the goal), mark it as visited, and return it */ PATHNODE *__cdecl GetNextPath() { PATHNODE *result; result = path_2_nodes->NextNode; if (result == NULL) { return result; } path_2_nodes->NextNode = result->NextNode; result->NextNode = pnode_ptr->NextNode; pnode_ptr->NextNode = result; return result; } /* check if stepping from pPath to (dx,dy) cuts a corner. If you step from A to * B, both Xs need to be clear: * * AX * XB * * return true if step is allowed */ BOOL __fastcall path_solid_pieces(PATHNODE *pPath, int dx, int dy) { BOOL rv = TRUE; switch (path_directions[3 * (dy - pPath->y) + 3 - pPath->x + 1 + dx]) { case 5: rv = !nSolidTable[dPiece[dx][dy + 1]] && !nSolidTable[dPiece[dx + 1][dy]]; break; case 6: rv = !nSolidTable[dPiece[dx][dy + 1]] && !nSolidTable[dPiece[dx - 1][dy]]; break; case 7: rv = !nSolidTable[dPiece[dx][dy - 1]] && !nSolidTable[dPiece[dx - 1][dy]]; break; case 8: rv = !nSolidTable[dPiece[dx + 1][dy]] && !nSolidTable[dPiece[dx][dy - 1]]; break; } return rv; } /* perform a single step of A* bread-first search by trying to step in every * possible direction from pPath with goal (x,y). Check each step with PosOk * * return 0 if we ran out of preallocated nodes to use, else 1 */ BOOL __fastcall path_get_path(BOOL(__fastcall *PosOk)(int, int, int), int PosOkArg, PATHNODE *pPath, int x, int y) { int dx, dy; int i; BOOL ok; for (i = 0; i < 8; i++) { dx = pPath->x + pathxdir[i]; dy = pPath->y + pathydir[i]; ok = PosOk(PosOkArg, dx, dy); if (ok && path_solid_pieces(pPath, dx, dy) || !ok && dx == x && dy == y) { if (!path_parent_path(pPath, dx, dy, x, y)) return FALSE; } } return TRUE; } /* add a step from pPath to (dx,dy), return 1 if successful, and update the * frontier/visited nodes accordingly * * return 1 if step successfully added, 0 if we ran out of nodes to use */ BOOL __fastcall path_parent_path(PATHNODE *pPath, int dx, int dy, int sx, int sy) { int next_g; PATHNODE *dxdy; int i; next_g = pPath->g + path_check_equal(pPath, dx, dy); // 3 cases to consider // case 1: (dx,dy) is already on the frontier dxdy = path_get_node1(dx, dy); if (dxdy != NULL) { for (i = 0; i < 8; i++) { if (pPath->Child[i] == NULL) break; } pPath->Child[i] = dxdy; if (next_g < dxdy->g) { if (path_solid_pieces(pPath, dx, dy)) { // we'll explore it later, just update dxdy->Parent = pPath; dxdy->g = next_g; dxdy->f = next_g + dxdy->h; } } } else { // case 2: (dx,dy) was already visited dxdy = path_get_node2(dx, dy); if (dxdy != NULL) { for (i = 0; i < 8; i++) { if (pPath->Child[i] == NULL) break; } pPath->Child[i] = dxdy; if (next_g < dxdy->g && path_solid_pieces(pPath, dx, dy)) { // update the node dxdy->Parent = pPath; dxdy->g = next_g; dxdy->f = next_g + dxdy->h; // already explored, so re-update others starting from that node path_set_coords(dxdy); } } else { // case 3: (dx,dy) is totally new dxdy = path_new_step(); if (dxdy == NULL) return FALSE; dxdy->Parent = pPath; dxdy->g = next_g; dxdy->h = path_get_h_cost(dx, dy, sx, sy); dxdy->f = next_g + dxdy->h; dxdy->x = dx; dxdy->y = dy; // add it to the frontier path_next_node(dxdy); for (i = 0; i < 8; i++) { if (pPath->Child[i] == NULL) break; } pPath->Child[i] = dxdy; } } return TRUE; } /* return a node for (dx,dy) on the frontier, or NULL if not found */ PATHNODE *__fastcall path_get_node1(int dx, int dy) { PATHNODE *result = path_2_nodes; while (result != NULL && (result->x != dx || result->y != dy)) result = result->NextNode; return result; } /* return a node for (dx,dy) if it was visited, or NULL if not found */ PATHNODE *__fastcall path_get_node2(int dx, int dy) { PATHNODE *result = pnode_ptr; while (result != NULL && (result->x != dx || result->y != dy)) result = result->NextNode; return result; } /* insert pPath into the frontier (keeping the frontier sorted by total * distance) */ void __fastcall path_next_node(PATHNODE *pPath) { PATHNODE *current; // edx PATHNODE *next; // eax current = path_2_nodes; next = path_2_nodes->NextNode; if (next != NULL) { do { if (next->f >= pPath->f) break; current = next; next = next->NextNode; } while (next != NULL); pPath->NextNode = next; } current->NextNode = pPath; } /* update all path costs using depth-first search starting at pPath */ void __fastcall path_set_coords(PATHNODE *pPath) { PATHNODE *PathOld; PATHNODE *PathAct; int i; path_push_active_step(pPath); while (gdwCurPathStep) { PathOld = path_pop_active_step(); for (i = 0; i < 8; i++) { PathAct = PathOld->Child[i]; if (PathAct == NULL) break; if (PathOld->g + path_check_equal(PathOld, PathAct->x, PathAct->y) < PathAct->g) { if (path_solid_pieces(PathOld, PathAct->x, PathAct->y)) { PathAct->Parent = PathOld; PathAct->g = PathOld->g + path_check_equal(PathOld, PathAct->x, PathAct->y); PathAct->f = PathAct->g + PathAct->h; path_push_active_step(PathAct); } } } } } /* push pPath onto the pnode_tblptr stack */ void __fastcall path_push_active_step(PATHNODE *pPath) { int stack_index = gdwCurPathStep; gdwCurPathStep++; pnode_tblptr[stack_index] = pPath; } /* pop and return a node from the pnode_tblptr stack */ PATHNODE *__cdecl path_pop_active_step() { gdwCurPathStep--; return pnode_tblptr[gdwCurPathStep]; } /* zero one of the preallocated nodes and return a pointer to it, or NULL if * none are available */ PATHNODE *__cdecl path_new_step() { PATHNODE *new_node; if (gdwCurNodes == MAXPATHNODES) return NULL; new_node = &path_nodes[gdwCurNodes]; gdwCurNodes++; memset(new_node, 0, sizeof(PATHNODE)); return new_node; }