/* ScummVM - Graphic Adventure Engine * * ScummVM is the legal property of its developers, whose names * are too numerous to list here. Please refer to the COPYRIGHT * file distributed with this source distribution. * * This program is free software; you can redistribute it and/or * modify it under the terms of the GNU General Public License * as published by the Free Software Foundation; either version 2 * of the License, or (at your option) any later version. * * This program is distributed in the hope that it will be useful, * but WITHOUT ANY WARRANTY; without even the implied warranty of * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the * GNU General Public License for more details. * * You should have received a copy of the GNU General Public License * along with this program; if not, write to the Free Software * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA. * */ #include "sci/sci.h" #include "sci/engine/state.h" #include "sci/engine/selector.h" #include "sci/engine/kernel.h" #include "sci/graphics/paint16.h" #include "sci/graphics/palette.h" #include "sci/graphics/screen.h" #include "common/debug-channels.h" #include "common/list.h" #include "common/system.h" #include "common/math.h" //#define DEBUG_MERGEPOLY namespace Sci { // TODO: Code cleanup #define AVOIDPATH_DYNMEM_STRING "AvoidPath polyline" #define POLY_LAST_POINT 0x7777 #define POLY_POINT_SIZE 4 // SCI-defined polygon types enum { POLY_TOTAL_ACCESS = 0, POLY_NEAREST_ACCESS = 1, POLY_BARRED_ACCESS = 2, POLY_CONTAINED_ACCESS = 3 }; // Polygon containment types enum { CONT_OUTSIDE = 0, CONT_ON_EDGE = 1, CONT_INSIDE = 2 }; #define HUGE_DISTANCE 0xFFFFFFFF #define VERTEX_HAS_EDGES(V) ((V) != CLIST_NEXT(V)) // Error codes enum { PF_OK = 0, PF_ERROR = -1, PF_FATAL = -2 }; // Floating point struct struct FloatPoint { FloatPoint() : x(0), y(0) {} FloatPoint(float x_, float y_) : x(x_), y(y_) {} FloatPoint(Common::Point p) : x(p.x), y(p.y) {} Common::Point toPoint() { return Common::Point((int16)(x + 0.5), (int16)(y + 0.5)); } float operator*(const FloatPoint &p) const { return x*p.x + y*p.y; } FloatPoint operator*(float l) const { return FloatPoint(l*x, l*y); } FloatPoint operator-(const FloatPoint &p) const { return FloatPoint(x-p.x, y-p.y); } float norm() const { return x*x+y*y; } float x, y; }; struct Vertex { // Location Common::Point v; // Vertex circular list entry Vertex *_next; // next element Vertex *_prev; // previous element // A* cost variables uint32 costF; uint32 costG; // Previous vertex in shortest path Vertex *path_prev; public: Vertex(const Common::Point &p) : v(p) { costG = HUGE_DISTANCE; path_prev = NULL; } }; class VertexList: public Common::List { public: bool contains(Vertex *v) { for (iterator it = begin(); it != end(); ++it) { if (v == *it) return true; } return false; } }; /* Circular list definitions. */ #define CLIST_FOREACH(var, head) \ for ((var) = (head)->first(); \ (var); \ (var) = ((var)->_next == (head)->first() ? \ NULL : (var)->_next)) /* Circular list access methods. */ #define CLIST_NEXT(elm) ((elm)->_next) #define CLIST_PREV(elm) ((elm)->_prev) class CircularVertexList { public: Vertex *_head; public: CircularVertexList() : _head(0) {} Vertex *first() const { return _head; } void insertAtEnd(Vertex *elm) { if (_head == NULL) { elm->_next = elm->_prev = elm; _head = elm; } else { elm->_next = _head; elm->_prev = _head->_prev; _head->_prev = elm; elm->_prev->_next = elm; } } void insertHead(Vertex *elm) { insertAtEnd(elm); _head = elm; } static void insertAfter(Vertex *listelm, Vertex *elm) { elm->_prev = listelm; elm->_next = listelm->_next; listelm->_next->_prev = elm; listelm->_next = elm; } void remove(Vertex *elm) { if (elm->_next == elm) { _head = NULL; } else { if (_head == elm) _head = elm->_next; elm->_prev->_next = elm->_next; elm->_next->_prev = elm->_prev; } } bool empty() const { return _head == NULL; } uint size() const { int n = 0; Vertex *v; CLIST_FOREACH(v, this) ++n; return n; } /** * Reverse the order of the elements in this circular list. */ void reverse() { if (!_head) return; Vertex *elm = _head; do { SWAP(elm->_prev, elm->_next); elm = elm->_next; } while (elm != _head); } }; struct Polygon { // SCI polygon type int type; // Circular list of vertices CircularVertexList vertices; public: Polygon(int t) : type(t) { } ~Polygon() { while (!vertices.empty()) { Vertex *vertex = vertices.first(); vertices.remove(vertex); delete vertex; } } }; typedef Common::List PolygonList; // Pathfinding state struct PathfindingState { // List of all polygons PolygonList polygons; // Start and end points for pathfinding Vertex *vertex_start, *vertex_end; // Array of all vertices, used for sorting Vertex **vertex_index; // Total number of vertices int vertices; // Point to prepend and append to final path Common::Point *_prependPoint; Common::Point *_appendPoint; // Screen size int _width, _height; PathfindingState(int width, int height) : _width(width), _height(height) { vertex_start = NULL; vertex_end = NULL; vertex_index = NULL; _prependPoint = NULL; _appendPoint = NULL; vertices = 0; } ~PathfindingState() { free(vertex_index); delete _prependPoint; delete _appendPoint; for (PolygonList::iterator it = polygons.begin(); it != polygons.end(); ++it) { delete *it; } } bool pointOnScreenBorder(const Common::Point &p); bool edgeOnScreenBorder(const Common::Point &p, const Common::Point &q); int findNearPoint(const Common::Point &p, Polygon *polygon, Common::Point *ret); }; static Common::Point readPoint(SegmentRef list_r, int offset) { Common::Point point; if (list_r.isRaw) { // dynmem blocks are raw point.x = (int16)READ_SCIENDIAN_UINT16(list_r.raw + offset * POLY_POINT_SIZE); point.y = (int16)READ_SCIENDIAN_UINT16(list_r.raw + offset * POLY_POINT_SIZE + 2); } else { point.x = list_r.reg[offset * 2].toUint16(); point.y = list_r.reg[offset * 2 + 1].toUint16(); } return point; } static void writePoint(SegmentRef ref, int offset, const Common::Point &point) { if (ref.isRaw) { // dynmem blocks are raw WRITE_SCIENDIAN_UINT16(ref.raw + offset * POLY_POINT_SIZE, point.x); WRITE_SCIENDIAN_UINT16(ref.raw + offset * POLY_POINT_SIZE + 2, point.y); } else { ref.reg[offset * 2] = make_reg(0, point.x); ref.reg[offset * 2 + 1] = make_reg(0, point.y); } } static void draw_line(EngineState *s, Common::Point p1, Common::Point p2, int type, int width, int height) { // Colors for polygon debugging. // Green: Total access // Blue: Near-point access // Red : Barred access // Yellow: Contained access int poly_colors[4] = { g_sci->_gfxPalette->kernelFindColor(0, 255, 0), // green g_sci->_gfxPalette->kernelFindColor(0, 0, 255), // blue g_sci->_gfxPalette->kernelFindColor(255, 0, 0), // red g_sci->_gfxPalette->kernelFindColor(255, 255, 0) // yellow }; // Clip // FIXME: Do proper line clipping p1.x = CLIP(p1.x, 0, width - 1); p1.y = CLIP(p1.y, 0, height - 1); p2.x = CLIP(p2.x, 0, width - 1); p2.y = CLIP(p2.y, 0, height - 1); assert(type >= 0 && type <= 3); g_sci->_gfxPaint->kernelGraphDrawLine(p1, p2, poly_colors[type], 255, 255); } static void draw_point(EngineState *s, Common::Point p, int start, int width, int height) { // Colors for starting and end point // Green: End point // Blue: Starting point int point_colors[2] = { g_sci->_gfxPalette->kernelFindColor(0, 255, 0), // green g_sci->_gfxPalette->kernelFindColor(0, 0, 255) // blue }; Common::Rect rect = Common::Rect(p.x - 1, p.y - 1, p.x - 1 + 3, p.y - 1 + 3); // Clip rect.top = CLIP(rect.top, 0, height - 1); rect.bottom = CLIP(rect.bottom, 0, height - 1); rect.left = CLIP(rect.left, 0, width - 1); rect.right = CLIP(rect.right, 0, width - 1); assert(start >= 0 && start <= 1); if (g_sci->_gfxPaint16) g_sci->_gfxPaint16->kernelGraphFrameBox(rect, point_colors[start]); } static void draw_polygon(EngineState *s, reg_t polygon, int width, int height) { SegManager *segMan = s->_segMan; reg_t points = readSelector(segMan, polygon, SELECTOR(points)); #ifdef ENABLE_SCI32 if (segMan->isHeapObject(points)) points = readSelector(segMan, points, SELECTOR(data)); #endif int size = readSelectorValue(segMan, polygon, SELECTOR(size)); int type = readSelectorValue(segMan, polygon, SELECTOR(type)); Common::Point first, prev; int i; SegmentRef pointList = segMan->dereference(points); if (!pointList.isValid() || pointList.skipByte) { warning("draw_polygon: Polygon data pointer is invalid, skipping polygon"); return; } prev = first = readPoint(pointList, 0); for (i = 1; i < size; i++) { Common::Point point = readPoint(pointList, i); draw_line(s, prev, point, type, width, height); prev = point; } draw_line(s, prev, first, type % 3, width, height); } static void draw_input(EngineState *s, reg_t poly_list, Common::Point start, Common::Point end, int opt, int width, int height) { List *list; Node *node; draw_point(s, start, 1, width, height); draw_point(s, end, 0, width, height); if (!poly_list.getSegment()) return; list = s->_segMan->lookupList(poly_list); if (!list) { warning("[avoidpath] Could not obtain polygon list"); return; } node = s->_segMan->lookupNode(list->first); while (node) { draw_polygon(s, node->value, width, height); node = s->_segMan->lookupNode(node->succ); } } static void print_polygon(SegManager *segMan, reg_t polygon) { reg_t points = readSelector(segMan, polygon, SELECTOR(points)); #ifdef ENABLE_SCI32 if (segMan->isHeapObject(points)) points = readSelector(segMan, points, SELECTOR(data)); #endif int size = readSelectorValue(segMan, polygon, SELECTOR(size)); int type = readSelectorValue(segMan, polygon, SELECTOR(type)); int i; Common::Point point; debugN(-1, "%i:", type); SegmentRef pointList = segMan->dereference(points); if (!pointList.isValid() || pointList.skipByte) { warning("print_polygon: Polygon data pointer is invalid, skipping polygon"); return; } for (i = 0; i < size; i++) { point = readPoint(pointList, i); debugN(-1, " (%i, %i)", point.x, point.y); } point = readPoint(pointList, 0); debug(" (%i, %i);", point.x, point.y); } static void print_input(EngineState *s, reg_t poly_list, Common::Point start, Common::Point end, int opt) { List *list; Node *node; debug("Start point: (%i, %i)", start.x, start.y); debug("End point: (%i, %i)", end.x, end.y); debug("Optimization level: %i", opt); if (!poly_list.getSegment()) return; list = s->_segMan->lookupList(poly_list); if (!list) { warning("[avoidpath] Could not obtain polygon list"); return; } debug("Polygons:"); node = s->_segMan->lookupNode(list->first); while (node) { print_polygon(s->_segMan, node->value); node = s->_segMan->lookupNode(node->succ); } } /** * Computes the area of a triangle * Parameters: (const Common::Point &) a, b, c: The points of the triangle * Returns : (int) The area multiplied by two */ static int area(const Common::Point &a, const Common::Point &b, const Common::Point &c) { return (b.x - a.x) * (a.y - c.y) - (c.x - a.x) * (a.y - b.y); } /** * Determines whether or not a point is to the left of a directed line * Parameters: (const Common::Point &) a, b: The directed line (a, b) * (const Common::Point &) c: The query point * Returns : (int) true if c is to the left of (a, b), false otherwise */ static bool left(const Common::Point &a, const Common::Point &b, const Common::Point &c) { return area(a, b, c) > 0; } /** * Determines whether or not three points are collinear * Parameters: (const Common::Point &) a, b, c: The three points * Returns : (int) true if a, b, and c are collinear, false otherwise */ static bool collinear(const Common::Point &a, const Common::Point &b, const Common::Point &c) { return area(a, b, c) == 0; } /** * Determines whether or not a point lies on a line segment * Parameters: (const Common::Point &) a, b: The line segment (a, b) * (const Common::Point &) c: The query point * Returns : (int) true if c lies on (a, b), false otherwise */ static bool between(const Common::Point &a, const Common::Point &b, const Common::Point &c) { if (!collinear(a, b, c)) return false; // Assumes a != b. if (a.x != b.x) return ((a.x <= c.x) && (c.x <= b.x)) || ((a.x >= c.x) && (c.x >= b.x)); else return ((a.y <= c.y) && (c.y <= b.y)) || ((a.y >= c.y) && (c.y >= b.y)); } /** * Determines whether or not two line segments properly intersect * Parameters: (const Common::Point &) a, b: The line segment (a, b) * (const Common::Point &) c, d: The line segment (c, d) * Returns : (int) true if (a, b) properly intersects (c, d), false otherwise */ static bool intersect_proper(const Common::Point &a, const Common::Point &b, const Common::Point &c, const Common::Point &d) { int ab = (left(a, b, c) && left(b, a, d)) || (left(a, b, d) && left(b, a, c)); int cd = (left(c, d, a) && left(d, c, b)) || (left(c, d, b) && left(d, c, a)); return ab && cd; } /** * Polygon containment test * Parameters: (const Common::Point &) p: The point * (Polygon *) polygon: The polygon * Returns : (int) CONT_INSIDE if p is strictly contained in polygon, * CONT_ON_EDGE if p lies on an edge of polygon, * CONT_OUTSIDE otherwise * Number of ray crossing left and right */ static int contained(const Common::Point &p, Polygon *polygon) { int lcross = 0, rcross = 0; Vertex *vertex; // Iterate over edges CLIST_FOREACH(vertex, &polygon->vertices) { const Common::Point &v1 = vertex->v; const Common::Point &v2 = CLIST_NEXT(vertex)->v; // Flags for ray straddling left and right int rstrad, lstrad; // Check if p is a vertex if (p == v1) return CONT_ON_EDGE; // Check if edge straddles the ray rstrad = (v1.y < p.y) != (v2.y < p.y); lstrad = (v1.y > p.y) != (v2.y > p.y); if (lstrad || rstrad) { // Compute intersection point x / xq int x = v2.x * v1.y - v1.x * v2.y + (v1.x - v2.x) * p.y; int xq = v1.y - v2.y; // Multiply by -1 if xq is negative (for comparison that follows) if (xq < 0) { x = -x; xq = -xq; } // Avoid floats by multiplying instead of dividing if (rstrad && (x > xq * p.x)) rcross++; else if (lstrad && (x < xq * p.x)) lcross++; } } // If we counted an odd number of total crossings the point is on an edge if ((lcross + rcross) % 2 == 1) return CONT_ON_EDGE; // If there are an odd number of crossings to one side the point is contained in the polygon if (rcross % 2 == 1) { // Invert result for contained access polygons. if (polygon->type == POLY_CONTAINED_ACCESS) return CONT_OUTSIDE; return CONT_INSIDE; } // Point is outside polygon. Invert result for contained access polygons if (polygon->type == POLY_CONTAINED_ACCESS) return CONT_INSIDE; return CONT_OUTSIDE; } /** * Computes polygon area * Parameters: (Polygon *) polygon: The polygon * Returns : (int) The area multiplied by two */ static int polygon_area(Polygon *polygon) { Vertex *first = polygon->vertices.first(); Vertex *v; int size = 0; v = CLIST_NEXT(first); while (CLIST_NEXT(v) != first) { size += area(first->v, v->v, CLIST_NEXT(v)->v); v = CLIST_NEXT(v); } return size; } /** * Fixes the vertex order of a polygon if incorrect. Contained access * polygons should have their vertices ordered clockwise, all other types * anti-clockwise * Parameters: (Polygon *) polygon: The polygon */ static void fix_vertex_order(Polygon *polygon) { int area = polygon_area(polygon); // When the polygon area is positive the vertices are ordered // anti-clockwise. When the area is negative the vertices are ordered // clockwise if (((area > 0) && (polygon->type == POLY_CONTAINED_ACCESS)) || ((area < 0) && (polygon->type != POLY_CONTAINED_ACCESS))) { polygon->vertices.reverse(); } } /** * Determines whether or not a line from a point to a vertex intersects the * interior of the polygon, locally at that vertex * Parameters: (Common::Point) p: The point * (Vertex *) vertex: The vertex * Returns : (int) 1 if the line (p, vertex->v) intersects the interior of * the polygon, locally at the vertex. 0 otherwise */ static int inside(const Common::Point &p, Vertex *vertex) { // Check that it's not a single-vertex polygon if (VERTEX_HAS_EDGES(vertex)) { const Common::Point &prev = CLIST_PREV(vertex)->v; const Common::Point &next = CLIST_NEXT(vertex)->v; const Common::Point &cur = vertex->v; if (left(prev, cur, next)) { // Convex vertex, line (p, cur) intersects the inside // if p is located left of both edges if (left(cur, next, p) && left(prev, cur, p)) return 1; } else { // Non-convex vertex, line (p, cur) intersects the // inside if p is located left of either edge if (left(cur, next, p) || left(prev, cur, p)) return 1; } } return 0; } /** * Returns a list of all vertices that are visible from a particular vertex. * @param s the pathfinding state * @param vertex_cur the vertex * @return list of vertices that are visible from vert */ static VertexList *visible_vertices(PathfindingState *s, Vertex *vertex_cur) { VertexList *visVerts = new VertexList(); for (int i = 0; i < s->vertices; i++) { Vertex *vertex = s->vertex_index[i]; // Make sure we don't intersect a polygon locally at the vertices if ((vertex == vertex_cur) || (inside(vertex->v, vertex_cur)) || (inside(vertex_cur->v, vertex))) continue; // Check for intersecting edges int j; for (j = 0; j < s->vertices; j++) { Vertex *edge = s->vertex_index[j]; if (VERTEX_HAS_EDGES(edge)) { if (between(vertex_cur->v, vertex->v, edge->v)) { // If we hit a vertex, make sure we can pass through it without intersecting its polygon if ((inside(vertex_cur->v, edge)) || (inside(vertex->v, edge))) break; // This edge won't properly intersect, so we continue continue; } if (intersect_proper(vertex_cur->v, vertex->v, edge->v, CLIST_NEXT(edge)->v)) break; } } if (j == s->vertices) visVerts->push_front(vertex); } return visVerts; } /** * Determines if a point lies on the screen border * Parameters: (const Common::Point &) p: The point * Returns : (int) true if p lies on the screen border, false otherwise */ bool PathfindingState::pointOnScreenBorder(const Common::Point &p) { return (p.x == 0) || (p.x == _width - 1) || (p.y == 0) || (p.y == _height - 1); } /** * Determines if an edge lies on the screen border * Parameters: (const Common::Point &) p, q: The edge (p, q) * Returns : (int) true if (p, q) lies on the screen border, false otherwise */ bool PathfindingState::edgeOnScreenBorder(const Common::Point &p, const Common::Point &q) { return ((p.x == 0 && q.x == 0) || (p.y == 0 && q.y == 0) || ((p.x == _width - 1) && (q.x == _width - 1)) || ((p.y == _height - 1) && (q.y == _height - 1))); } /** * Searches for a nearby point that is not contained in a polygon * Parameters: (FloatPoint) f: The pointf to search nearby * (Polygon *) polygon: The polygon * Returns : (int) PF_OK on success, PF_FATAL otherwise * (Common::Point) *ret: The non-contained point on success */ static int find_free_point(FloatPoint f, Polygon *polygon, Common::Point *ret) { Common::Point p; // Try nearest point first p = Common::Point((int)floor(f.x + 0.5), (int)floor(f.y + 0.5)); if (contained(p, polygon) != CONT_INSIDE) { *ret = p; return PF_OK; } p = Common::Point((int)floor(f.x), (int)floor(f.y)); // Try (x, y), (x + 1, y), (x , y + 1) and (x + 1, y + 1) if (contained(p, polygon) == CONT_INSIDE) { p.x++; if (contained(p, polygon) == CONT_INSIDE) { p.y++; if (contained(p, polygon) == CONT_INSIDE) { p.x--; if (contained(p, polygon) == CONT_INSIDE) return PF_FATAL; } } } *ret = p; return PF_OK; } /** * Computes the near point of a point contained in a polygon * Parameters: (const Common::Point &) p: The point * (Polygon *) polygon: The polygon * Returns : (int) PF_OK on success, PF_FATAL otherwise * (Common::Point) *ret: The near point of p in polygon on success */ int PathfindingState::findNearPoint(const Common::Point &p, Polygon *polygon, Common::Point *ret) { Vertex *vertex; FloatPoint near_p; uint32 dist = HUGE_DISTANCE; CLIST_FOREACH(vertex, &polygon->vertices) { const Common::Point &p1 = vertex->v; const Common::Point &p2 = CLIST_NEXT(vertex)->v; float u; FloatPoint new_point; uint32 new_dist; // Ignore edges on the screen border, except for contained access polygons if ((polygon->type != POLY_CONTAINED_ACCESS) && (edgeOnScreenBorder(p1, p2))) continue; // Compute near point u = ((p.x - p1.x) * (p2.x - p1.x) + (p.y - p1.y) * (p2.y - p1.y)) / (float)p1.sqrDist(p2); // Clip to edge if (u < 0.0f) u = 0.0f; if (u > 1.0f) u = 1.0f; new_point.x = p1.x + u * (p2.x - p1.x); new_point.y = p1.y + u * (p2.y - p1.y); new_dist = p.sqrDist(new_point.toPoint()); if (new_dist < dist) { near_p = new_point; dist = new_dist; } } // Find point not contained in polygon return find_free_point(near_p, polygon, ret); } /** * Computes the intersection point of a line segment and an edge (not * including the vertices themselves) * Parameters: (const Common::Point &) a, b: The line segment (a, b) * (Vertex *) vertex: The first vertex of the edge * Returns : (int) PF_OK on success, PF_ERROR otherwise * (FloatPoint) *ret: The intersection point */ static int intersection(const Common::Point &a, const Common::Point &b, const Vertex *vertex, FloatPoint *ret) { // Parameters of parametric equations float s, t; // Numerator and denominator of equations float num, denom; const Common::Point &c = vertex->v; const Common::Point &d = CLIST_NEXT(vertex)->v; denom = a.x * (float)(d.y - c.y) + b.x * (float)(c.y - d.y) + d.x * (float)(b.y - a.y) + c.x * (float)(a.y - b.y); if (denom == 0.0) // Segments are parallel, no intersection return PF_ERROR; num = a.x * (float)(d.y - c.y) + c.x * (float)(a.y - d.y) + d.x * (float)(c.y - a.y); s = num / denom; num = -(a.x * (float)(c.y - b.y) + b.x * (float)(a.y - c.y) + c.x * (float)(b.y - a.y)); t = num / denom; if ((0.0 <= s) && (s <= 1.0) && (0.0 < t) && (t < 1.0)) { // Intersection found ret->x = a.x + s * (b.x - a.x); ret->y = a.y + s * (b.y - a.y); return PF_OK; } return PF_ERROR; } /** * Computes the nearest intersection point of a line segment and the polygon * set. Intersection points that are reached from the inside of a polygon * are ignored as are improper intersections which do not obstruct * visibility * Parameters: (PathfindingState *) s: The pathfinding state * (const Common::Point &) p, q: The line segment (p, q) * Returns : (int) PF_OK on success, PF_ERROR when no intersections were * found, PF_FATAL otherwise * (Common::Point) *ret: On success, the closest intersection point */ static int nearest_intersection(PathfindingState *s, const Common::Point &p, const Common::Point &q, Common::Point *ret) { Polygon *polygon = 0; FloatPoint isec; Polygon *ipolygon = 0; uint32 dist = HUGE_DISTANCE; for (PolygonList::iterator it = s->polygons.begin(); it != s->polygons.end(); ++it) { polygon = *it; Vertex *vertex; CLIST_FOREACH(vertex, &polygon->vertices) { uint32 new_dist; FloatPoint new_isec; // Check for intersection with vertex if (between(p, q, vertex->v)) { // Skip this vertex if we hit it from the // inside of the polygon if (inside(q, vertex)) { new_isec.x = vertex->v.x; new_isec.y = vertex->v.y; } else continue; } else { // Check for intersection with edges // Skip this edge if we hit it from the // inside of the polygon if (!left(vertex->v, CLIST_NEXT(vertex)->v, q)) continue; if (intersection(p, q, vertex, &new_isec) != PF_OK) continue; } new_dist = p.sqrDist(new_isec.toPoint()); if (new_dist < dist) { ipolygon = polygon; isec = new_isec; dist = new_dist; } } } if (dist == HUGE_DISTANCE) return PF_ERROR; // Find point not contained in polygon return find_free_point(isec, ipolygon, ret); } /** * Checks whether a point is nearby a contained-access polygon (distance 1 pixel) * @param point the point * @param polygon the contained-access polygon * @return true when point is nearby polygon, false otherwise */ static bool nearbyPolygon(const Common::Point &point, Polygon *polygon) { assert(polygon->type == POLY_CONTAINED_ACCESS); return ((contained(Common::Point(point.x, point.y + 1), polygon) != CONT_INSIDE) || (contained(Common::Point(point.x, point.y - 1), polygon) != CONT_INSIDE) || (contained(Common::Point(point.x + 1, point.y), polygon) != CONT_INSIDE) || (contained(Common::Point(point.x - 1, point.y), polygon) != CONT_INSIDE)); } /** * Checks that the start point is in a valid position, and takes appropriate action if it's not. * @param s the pathfinding state * @param start the start point * @return a valid start point on success, NULL otherwise */ static Common::Point *fixup_start_point(PathfindingState *s, const Common::Point &start) { PolygonList::iterator it = s->polygons.begin(); Common::Point *new_start = new Common::Point(start); while (it != s->polygons.end()) { int cont = contained(start, *it); int type = (*it)->type; switch (type) { case POLY_TOTAL_ACCESS: // Remove totally accessible polygons that contain the start point if (cont != CONT_OUTSIDE) { delete *it; it = s->polygons.erase(it); continue; } break; case POLY_CONTAINED_ACCESS: // Remove contained access polygons that do not contain // the start point (containment test is inverted here). // SSCI appears to be using a small margin of error here, // so we do the same. if ((cont == CONT_INSIDE) && !nearbyPolygon(start, *it)) { delete *it; it = s->polygons.erase(it); continue; } // Fall through case POLY_BARRED_ACCESS: case POLY_NEAREST_ACCESS: if (cont != CONT_OUTSIDE) { if (s->_prependPoint != NULL) { // We shouldn't get here twice. // We need to break in this case, otherwise we'll end in an infinite // loop. warning("AvoidPath: start point is contained in multiple polygons"); break; } if (s->findNearPoint(start, (*it), new_start) != PF_OK) { delete new_start; return NULL; } if ((type == POLY_BARRED_ACCESS) || (type == POLY_CONTAINED_ACCESS)) debugC(kDebugLevelAvoidPath, "AvoidPath: start position at unreachable location"); // The original start position is in an invalid location, so we // use the moved point and add the original one to the final path // later on. if (start != *new_start) s->_prependPoint = new Common::Point(start); } } ++it; } return new_start; } /** * Checks that the end point is in a valid position, and takes appropriate action if it's not. * @param s the pathfinding state * @param end the end point * @return a valid end point on success, NULL otherwise */ static Common::Point *fixup_end_point(PathfindingState *s, const Common::Point &end) { PolygonList::iterator it = s->polygons.begin(); Common::Point *new_end = new Common::Point(end); while (it != s->polygons.end()) { int cont = contained(end, *it); int type = (*it)->type; switch (type) { case POLY_TOTAL_ACCESS: // Remove totally accessible polygons that contain the end point if (cont != CONT_OUTSIDE) { delete *it; it = s->polygons.erase(it); continue; } break; case POLY_CONTAINED_ACCESS: case POLY_BARRED_ACCESS: case POLY_NEAREST_ACCESS: if (cont != CONT_OUTSIDE) { if (s->_appendPoint != NULL) { // We shouldn't get here twice. // Happens in LB2CD, inside the speakeasy when walking from the // speakeasy (room 310) into the bathroom (room 320), after having // consulted the notebook (bug #3036299). // We need to break in this case, otherwise we'll end in an infinite // loop. warning("AvoidPath: end point is contained in multiple polygons"); break; } // The original end position is in an invalid location, so we move the point if (s->findNearPoint(end, (*it), new_end) != PF_OK) { delete new_end; return NULL; } // For near-point access polygons we need to add the original end point // to the path after pathfinding. if ((type == POLY_NEAREST_ACCESS) && (end != *new_end)) s->_appendPoint = new Common::Point(end); } } ++it; } return new_end; } /** * Merges a point into the polygon set. A new vertex is allocated for this * point, unless a matching vertex already exists. If the point is on an * already existing edge that edge is split up into two edges connected by * the new vertex * Parameters: (PathfindingState *) s: The pathfinding state * (const Common::Point &) v: The point to merge * Returns : (Vertex *) The vertex corresponding to v */ static Vertex *merge_point(PathfindingState *s, const Common::Point &v) { Vertex *vertex; Vertex *v_new; Polygon *polygon; // Check for already existing vertex for (PolygonList::iterator it = s->polygons.begin(); it != s->polygons.end(); ++it) { polygon = *it; CLIST_FOREACH(vertex, &polygon->vertices) { if (vertex->v == v) return vertex; } } v_new = new Vertex(v); // Check for point being on an edge for (PolygonList::iterator it = s->polygons.begin(); it != s->polygons.end(); ++it) { polygon = *it; // Skip single-vertex polygons if (VERTEX_HAS_EDGES(polygon->vertices.first())) { CLIST_FOREACH(vertex, &polygon->vertices) { Vertex *next = CLIST_NEXT(vertex); if (between(vertex->v, next->v, v)) { // Split edge by adding vertex polygon->vertices.insertAfter(vertex, v_new); return v_new; } } } } // Add point as single-vertex polygon polygon = new Polygon(POLY_BARRED_ACCESS); polygon->vertices.insertHead(v_new); s->polygons.push_front(polygon); return v_new; } /** * Converts an SCI polygon into a Polygon * Parameters: (EngineState *) s: The game state * (reg_t) polygon: The SCI polygon to convert * Returns : (Polygon *) The converted polygon, or NULL on error */ static Polygon *convert_polygon(EngineState *s, reg_t polygon) { SegManager *segMan = s->_segMan; int i; reg_t points = readSelector(segMan, polygon, SELECTOR(points)); int size = readSelectorValue(segMan, polygon, SELECTOR(size)); #ifdef ENABLE_SCI32 // SCI32 stores the actual points in the data property of points (in a new array) if (segMan->isHeapObject(points)) points = readSelector(segMan, points, SELECTOR(data)); #endif if (size == 0) { // If the polygon has no vertices, we skip it return NULL; } SegmentRef pointList = segMan->dereference(points); // Check if the target polygon is still valid. It may have been released // in the meantime (e.g. in LSL6, room 700, when using the elevator). // Refer to bug #3034501. if (!pointList.isValid() || pointList.skipByte) { warning("convert_polygon: Polygon data pointer is invalid, skipping polygon"); return NULL; } // Make sure that we have enough points if (pointList.maxSize < size * POLY_POINT_SIZE) { warning("convert_polygon: Not enough memory allocated for polygon points. " "Expected %d, got %d. Skipping polygon", size * POLY_POINT_SIZE, pointList.maxSize); return NULL; } int skip = 0; // WORKAROUND: broken polygon in lsl1sci, room 350, after opening elevator // Polygon has 17 points but size is set to 19 if ((size == 19) && g_sci->getGameId() == GID_LSL1) { if ((s->currentRoomNumber() == 350) && (readPoint(pointList, 18) == Common::Point(108, 137))) { debug(1, "Applying fix for broken polygon in lsl1sci, room 350"); size = 17; } } Polygon *poly = new Polygon(readSelectorValue(segMan, polygon, SELECTOR(type))); for (i = skip; i < size; i++) { Vertex *vertex = new Vertex(readPoint(pointList, i)); poly->vertices.insertHead(vertex); } fix_vertex_order(poly); return poly; } /** * Changes the polygon list for optimization level 0 (used for keyboard * support). Totally accessible polygons are removed and near-point * accessible polygons are changed into totally accessible polygons. * Parameters: (PathfindingState *) s: The pathfinding state */ static void change_polygons_opt_0(PathfindingState *s) { PolygonList::iterator it = s->polygons.begin(); while (it != s->polygons.end()) { Polygon *polygon = *it; assert(polygon); if (polygon->type == POLY_TOTAL_ACCESS) { delete polygon; it = s->polygons.erase(it); } else { if (polygon->type == POLY_NEAREST_ACCESS) polygon->type = POLY_TOTAL_ACCESS; ++it; } } } /** * Converts the SCI input data for pathfinding * Parameters: (EngineState *) s: The game state * (reg_t) poly_list: Polygon list * (Common::Point) start: The start point * (Common::Point) end: The end point * (int) opt: Optimization level (0, 1 or 2) * Returns : (PathfindingState *) On success a newly allocated pathfinding state, * NULL otherwise */ static PathfindingState *convert_polygon_set(EngineState *s, reg_t poly_list, Common::Point start, Common::Point end, int width, int height, int opt) { SegManager *segMan = s->_segMan; Polygon *polygon; int count = 0; PathfindingState *pf_s = new PathfindingState(width, height); // Convert all polygons if (poly_list.getSegment()) { List *list = s->_segMan->lookupList(poly_list); Node *node = s->_segMan->lookupNode(list->first); while (node) { // The node value might be null, in which case there's no polygon to parse. // Happens in LB2 floppy - refer to bug #3041232 polygon = !node->value.isNull() ? convert_polygon(s, node->value) : NULL; if (polygon) { pf_s->polygons.push_back(polygon); count += readSelectorValue(segMan, node->value, SELECTOR(size)); } node = s->_segMan->lookupNode(node->succ); } } if (opt == 0) change_polygons_opt_0(pf_s); Common::Point *new_start = fixup_start_point(pf_s, start); if (!new_start) { warning("AvoidPath: Couldn't fixup start position for pathfinding"); delete pf_s; return NULL; } Common::Point *new_end = fixup_end_point(pf_s, end); if (!new_end) { warning("AvoidPath: Couldn't fixup end position for pathfinding"); delete new_start; delete pf_s; return NULL; } if (opt == 0) { // Keyboard support. Only the first edge of the path we compute // here matches the path returned by SSCI. This is assumed to be // sufficient as all known use cases only use the first two // vertices of the returned path. // Pharkas uses this mode for a secondary polygon set containing // rectangular polygons used to block an actor's path. // If we have a prepended point, we do nothing here as the // actor is in barred territory and should be moved outside of // it ASAP. This matches the behavior of SSCI. if (!pf_s->_prependPoint) { // Actor position is OK, find nearest obstacle. int err = nearest_intersection(pf_s, start, *new_end, new_start); if (err == PF_FATAL) { warning("AvoidPath: error finding nearest intersection"); delete new_start; delete new_end; delete pf_s; return NULL; } if (err == PF_OK) pf_s->_prependPoint = new Common::Point(start); } } else { // WORKAROUND LSL5 room 660. Priority glitch due to us choosing a different path // than SSCI. Happens when Patti walks to the control room. if (g_sci->getGameId() == GID_LSL5 && (s->currentRoomNumber() == 660) && (Common::Point(67, 131) == *new_start) && (Common::Point(229, 101) == *new_end)) { debug(1, "[avoidpath] Applying fix for priority problem in LSL5, room 660"); pf_s->_prependPoint = new_start; new_start = new Common::Point(77, 107); } } // Merge start and end points into polygon set pf_s->vertex_start = merge_point(pf_s, *new_start); pf_s->vertex_end = merge_point(pf_s, *new_end); delete new_start; delete new_end; // Allocate and build vertex index pf_s->vertex_index = (Vertex**)malloc(sizeof(Vertex *) * (count + 2)); count = 0; for (PolygonList::iterator it = pf_s->polygons.begin(); it != pf_s->polygons.end(); ++it) { polygon = *it; Vertex *vertex; CLIST_FOREACH(vertex, &polygon->vertices) { pf_s->vertex_index[count++] = vertex; } } pf_s->vertices = count; return pf_s; } /** * Computes a shortest path from vertex_start to vertex_end. The caller can * construct the resulting path by following the path_prev links from * vertex_end back to vertex_start. If no path exists vertex_end->path_prev * will be NULL * Parameters: (PathfindingState *) s: The pathfinding state */ static void AStar(PathfindingState *s) { // Vertices of which the shortest path is known VertexList closedSet; // The remaining vertices VertexList openSet; openSet.push_front(s->vertex_start); s->vertex_start->costG = 0; s->vertex_start->costF = (uint32)sqrt((float)s->vertex_start->v.sqrDist(s->vertex_end->v)); while (!openSet.empty()) { // Find vertex in open set with lowest F cost VertexList::iterator vertex_min_it = openSet.end(); Vertex *vertex_min = 0; uint32 min = HUGE_DISTANCE; for (VertexList::iterator it = openSet.begin(); it != openSet.end(); ++it) { Vertex *vertex = *it; if (vertex->costF < min) { vertex_min_it = it; vertex_min = *vertex_min_it; min = vertex->costF; } } assert(vertex_min != 0); // the vertex cost should never be bigger than HUGE_DISTANCE // Check if we are done if (vertex_min == s->vertex_end) break; // Move vertex from set open to set closed closedSet.push_front(vertex_min); openSet.erase(vertex_min_it); VertexList *visVerts = visible_vertices(s, vertex_min); for (VertexList::iterator it = visVerts->begin(); it != visVerts->end(); ++it) { uint32 new_dist; Vertex *vertex = *it; if (closedSet.contains(vertex)) continue; if (!openSet.contains(vertex)) openSet.push_front(vertex); new_dist = vertex_min->costG + (uint32)sqrt((float)vertex_min->v.sqrDist(vertex->v)); // When travelling to a vertex on the screen edge, we // add a penalty score to make this path less appealing. // NOTE: If an obstacle has only one vertex on a screen edge, // later SSCI pathfinders will treat that vertex like any // other, while we apply a penalty to paths traversing it. // This difference might lead to problems, but none are // known at the time of writing. // WORKAROUND: This check fails in QFG1VGA, room 81 (bug report #3568452). // However, it is needed in other SCI1.1 games, such as LB2. Therefore, we // add this workaround for that scene in QFG1VGA, until our algorithm matches // better what SSCI is doing. With this workaround, QFG1VGA no longer freezes // in that scene. bool qfg1VgaWorkaround = (g_sci->getGameId() == GID_QFG1VGA && g_sci->getEngineState()->currentRoomNumber() == 81); if (s->pointOnScreenBorder(vertex->v) && !qfg1VgaWorkaround) new_dist += 10000; if (new_dist < vertex->costG) { vertex->costG = new_dist; vertex->costF = vertex->costG + (uint32)sqrt((float)vertex->v.sqrDist(s->vertex_end->v)); vertex->path_prev = vertex_min; } } delete visVerts; } if (openSet.empty()) debugC(kDebugLevelAvoidPath, "AvoidPath: End point (%i, %i) is unreachable", s->vertex_end->v.x, s->vertex_end->v.y); } static reg_t allocateOutputArray(SegManager *segMan, int size) { reg_t addr; #ifdef ENABLE_SCI32 if (getSciVersion() >= SCI_VERSION_2) { SciArray *array = segMan->allocateArray(&addr); assert(array); array->setType(0); array->setSize(size * 2); return addr; } #endif segMan->allocDynmem(POLY_POINT_SIZE * size, AVOIDPATH_DYNMEM_STRING, &addr); return addr; } /** * Stores the final path in newly allocated dynmem * Parameters: (PathfindingState *) p: The pathfinding state * (EngineState *) s: The game state * Returns : (reg_t) Pointer to dynmem containing path */ static reg_t output_path(PathfindingState *p, EngineState *s) { int path_len = 0; reg_t output; Vertex *vertex = p->vertex_end; int unreachable = vertex->path_prev == NULL; if (!unreachable) { while (vertex) { // Compute path length path_len++; vertex = vertex->path_prev; } } // Allocate memory for path, plus 3 extra for appended point, prepended point and sentinel output = allocateOutputArray(s->_segMan, path_len + 3); SegmentRef arrayRef = s->_segMan->dereference(output); assert(arrayRef.isValid() && !arrayRef.skipByte); if (unreachable) { // If pathfinding failed we only return the path up to vertex_start if (p->_prependPoint) writePoint(arrayRef, 0, *p->_prependPoint); else writePoint(arrayRef, 0, p->vertex_start->v); writePoint(arrayRef, 1, p->vertex_start->v); writePoint(arrayRef, 2, Common::Point(POLY_LAST_POINT, POLY_LAST_POINT)); return output; } int offset = 0; if (p->_prependPoint) writePoint(arrayRef, offset++, *p->_prependPoint); vertex = p->vertex_end; for (int i = path_len - 1; i >= 0; i--) { writePoint(arrayRef, offset + i, vertex->v); vertex = vertex->path_prev; } offset += path_len; if (p->_appendPoint) writePoint(arrayRef, offset++, *p->_appendPoint); // Sentinel writePoint(arrayRef, offset, Common::Point(POLY_LAST_POINT, POLY_LAST_POINT)); if (DebugMan.isDebugChannelEnabled(kDebugLevelAvoidPath)) { debug("\nReturning path:"); SegmentRef outputList = s->_segMan->dereference(output); if (!outputList.isValid() || outputList.skipByte) { warning("output_path: Polygon data pointer is invalid, skipping polygon"); return output; } for (int i = 0; i < offset; i++) { Common::Point pt = readPoint(outputList, i); debugN(-1, " (%i, %i)", pt.x, pt.y); } debug(";\n"); } return output; } reg_t kAvoidPath(EngineState *s, int argc, reg_t *argv) { Common::Point start = Common::Point(argv[0].toSint16(), argv[1].toSint16()); switch (argc) { case 3 : { reg_t retval; Polygon *polygon = convert_polygon(s, argv[2]); if (!polygon) return NULL_REG; // Override polygon type to prevent inverted result for contained access polygons polygon->type = POLY_BARRED_ACCESS; retval = make_reg(0, contained(start, polygon) != CONT_OUTSIDE); delete polygon; return retval; } case 6 : case 7 : case 8 : { Common::Point end = Common::Point(argv[2].toSint16(), argv[3].toSint16()); reg_t poly_list, output; int width, height, opt = 1; if (getSciVersion() >= SCI_VERSION_2) { if (argc < 7) error("[avoidpath] Not enough arguments"); poly_list = (!argv[4].isNull() ? readSelector(s->_segMan, argv[4], SELECTOR(elements)) : NULL_REG); width = argv[5].toUint16(); height = argv[6].toUint16(); if (argc > 7) opt = argv[7].toUint16(); } else { // SCI1.1 and older games always ran with an internal resolution of 320x200 poly_list = argv[4]; width = 320; height = 190; if (argc > 6) opt = argv[6].toUint16(); } if (DebugMan.isDebugChannelEnabled(kDebugLevelAvoidPath)) { debug("[avoidpath] Pathfinding input:"); draw_point(s, start, 1, width, height); draw_point(s, end, 0, width, height); if (poly_list.getSegment()) { print_input(s, poly_list, start, end, opt); draw_input(s, poly_list, start, end, opt, width, height); } // Update the whole screen g_sci->_gfxScreen->copyToScreen(); g_system->updateScreen(); if (!g_sci->_gfxPaint16) g_system->delayMillis(2500); } PathfindingState *p = convert_polygon_set(s, poly_list, start, end, width, height, opt); if (!p) { warning("[avoidpath] Error: pathfinding failed for following input:\n"); print_input(s, poly_list, start, end, opt); warning("[avoidpath] Returning direct path from start point to end point\n"); output = allocateOutputArray(s->_segMan, 3); SegmentRef arrayRef = s->_segMan->dereference(output); assert(arrayRef.isValid() && !arrayRef.skipByte); writePoint(arrayRef, 0, start); writePoint(arrayRef, 1, end); writePoint(arrayRef, 2, Common::Point(POLY_LAST_POINT, POLY_LAST_POINT)); return output; } // Apply Dijkstra AStar(p); output = output_path(p, s); delete p; // Memory is freed by explicit calls to Memory return output; } default: warning("Unknown AvoidPath subfunction %d", argc); return NULL_REG; } } static bool PointInRect(const Common::Point &point, int16 rectX1, int16 rectY1, int16 rectX2, int16 rectY2) { int16 top = MIN(rectY1, rectY2); int16 left = MIN(rectX1, rectX2); int16 bottom = MAX(rectY1, rectY2) + 1; int16 right = MAX(rectX1, rectX2) + 1; Common::Rect rect = Common::Rect(left, top, right, bottom); // Add a one pixel margin of error rect.grow(1); return rect.contains(point); } reg_t kIntersections(EngineState *s, int argc, reg_t *argv) { // This function computes intersection points for the "freeway pathing" in MUMG CD. int32 qSourceX = argv[0].toSint16(); int32 qSourceY = argv[1].toSint16(); int32 qDestX = argv[2].toSint16(); int32 qDestY = argv[3].toSint16(); uint16 startIndex = argv[5].toUint16(); uint16 endIndex = argv[6].toUint16(); uint16 stepSize = argv[7].toUint16(); bool backtrack = argv[9].toUint16(); const int32 kVertical = 0x7fffffff; uint16 curIndex = startIndex; reg_t *inpBuf = s->_segMan->derefRegPtr(argv[4], endIndex + 2); if (!inpBuf) { warning("Intersections: input buffer invalid"); return NULL_REG; } reg_t *outBuf = s->_segMan->derefRegPtr(argv[8], (endIndex - startIndex + 2) / stepSize * 3); if (!outBuf) { warning("Intersections: output buffer invalid"); return NULL_REG; } // Slope and y-intercept of the query line in centipixels int32 qIntercept; int32 qSlope; if (qSourceX != qDestX) { // Compute slope of the line and round to nearest centipixel qSlope = (1000 * (qSourceY - qDestY)) / (qSourceX - qDestX); if (qSlope >= 0) qSlope += 5; else qSlope -= 5; qSlope /= 10; // Compute y-intercept in centipixels qIntercept = (100 * qDestY) - (qSlope * qDestX); if (backtrack) { // If backtrack is set we extend the line from dest to source // until we hit a screen edge and place the source point there // First we try to place the source point on the left or right // screen edge if (qSourceX >= qDestX) qSourceX = 319; else qSourceX = 0; // Compute the y-coordinate qSourceY = ((qSlope * qSourceX) + qIntercept) / 100; // If the y-coordinate is off-screen, the point we want is on the // top or bottom edge of the screen instead if (qSourceY < 0 || qSourceY > 189) { if (qSourceY < 0) qSourceY = 0; else if (qSourceY > 189) qSourceY = 189; // Compute the x-coordinate qSourceX = (((((qSourceY * 100) - qIntercept) * 10) / qSlope) + 5) / 10; } } } else { // The query line is vertical qIntercept = qSlope = kVertical; if (backtrack) { // If backtrack is set, extend to screen edge if (qSourceY >= qDestY) qSourceY = 189; else qSourceY = 0; } } int32 pSourceX = inpBuf[curIndex].toSint16(); int32 pSourceY = inpBuf[curIndex + 1].toSint16(); // If it's a polygon, we include the first point again at the end int16 doneIndex; if (pSourceX & (1 << 13)) doneIndex = startIndex; else doneIndex = endIndex; pSourceX &= 0x1ff; debugCN(kDebugLevelAvoidPath, "%s: (%i, %i)[%i]", (doneIndex == startIndex ? "Polygon" : "Polyline"), pSourceX, pSourceY, curIndex); curIndex += stepSize; uint16 outCount = 0; while (1) { int32 pDestX = inpBuf[curIndex].toSint16() & 0x1ff; int32 pDestY = inpBuf[curIndex + 1].toSint16(); if (DebugMan.isDebugChannelEnabled(kDebugLevelAvoidPath)) { draw_line(s, Common::Point(pSourceX, pSourceY), Common::Point(pDestX, pDestY), 2, 320, 190); debugN(-1, " (%i, %i)[%i]", pDestX, pDestY, curIndex); } // Slope and y-intercept of the polygon edge in centipixels int32 pIntercept; int32 pSlope; if (pSourceX != pDestX) { // Compute slope and y-intercept (as above) pSlope = ((pDestY - pSourceY) * 1000) / (pDestX - pSourceX); if (pSlope >= 0) pSlope += 5; else pSlope -= 5; pSlope /= 10; pIntercept = (pDestY * 100) - (pSlope * pDestX); } else { // Polygon edge is vertical pSlope = pIntercept = kVertical; } bool foundIntersection = true; int32 intersectionX = 0; int32 intersectionY = 0; if (qSlope == pSlope) { // If the lines overlap, we test the source and destination points // against the poly segment if ((pIntercept == qIntercept) && (PointInRect(Common::Point(pSourceX, pSourceY), qSourceX, qSourceY, qDestX, qDestY))) { intersectionX = pSourceX * 100; intersectionY = pSourceY * 100; } else if ((pIntercept == qIntercept) && PointInRect(Common::Point(qDestX, qDestY), pSourceX, pSourceY, pDestX, pDestY)) { intersectionX = qDestX * 100; intersectionY = qDestY * 100; } else { // Lines are parallel or segments don't overlap, no intersection foundIntersection = false; } } else { // Lines are not parallel if (qSlope == kVertical) { // Query segment is vertical, polygon segment is not vertical intersectionX = qSourceX * 100; intersectionY = pSlope * qSourceX + pIntercept; } else if (pSlope == kVertical) { // Polygon segment is vertical, query segment is not vertical intersectionX = pDestX * 100; intersectionY = qSlope * pDestX + qIntercept; } else { // Neither line is vertical intersectionX = ((pIntercept - qIntercept) * 100) / (qSlope - pSlope); intersectionY = ((intersectionX * pSlope) + (pIntercept * 100)) / 100; } } if (foundIntersection) { // Round back to pixels intersectionX = (intersectionX + 50) / 100; intersectionY = (intersectionY + 50) / 100; // If intersection point lies on both the query line segment and the poly // line segment, add it to the output if (((PointInRect(Common::Point(intersectionX, intersectionY), pSourceX, pSourceY, pDestX, pDestY)) && PointInRect(Common::Point(intersectionX, intersectionY), qSourceX, qSourceY, qDestX, qDestY))) { outBuf[outCount * 3] = make_reg(0, intersectionX); outBuf[outCount * 3 + 1] = make_reg(0, intersectionY); outBuf[outCount * 3 + 2] = make_reg(0, curIndex); outCount++; } } if (curIndex == doneIndex) { // End of polyline/polygon reached if (DebugMan.isDebugChannelEnabled(kDebugLevelAvoidPath)) { debug(";"); debugN(-1, "Found %i intersections", outCount); if (outCount) { debugN(-1, ":"); for (int i = 0; i < outCount; i++) { Common::Point p = Common::Point(outBuf[i * 3].toSint16(), outBuf[i * 3 + 1].toSint16()); draw_point(s, p, 0, 320, 190); debugN(-1, " (%i, %i)[%i]", p.x, p.y, outBuf[i * 3 + 2].toSint16()); } } debug(";"); g_sci->_gfxScreen->copyToScreen(); g_system->updateScreen(); } return make_reg(0, outCount); } if (curIndex != endIndex) { // Go to next point in polyline/polygon curIndex += stepSize; } else { // Wrap-around for polygon case curIndex = startIndex; } // Current destination point is source for the next line segment pSourceX = pDestX; pSourceY = pDestY; } } // ========================================================================== // kMergePoly utility functions // Compute square of the distance of p to the segment a-b. static float pointSegDistance(const Common::Point &a, const Common::Point &b, const Common::Point &p) { FloatPoint ba(b-a); FloatPoint pa(p-a); FloatPoint bp(b-p); // Check if the projection of p on the line a-b lies between a and b if (ba*pa >= 0.0f && ba*bp >= 0.0f) { // If yes, return the (squared) distance of p to the line a-b: // translate a to origin, project p and subtract float linedist = (ba*((ba*pa)/(ba*ba)) - pa).norm(); return linedist; } else { // If no, return the (squared) distance to either a or b, whichever // is closest. // distance to a: float adist = pa.norm(); // distance to b: float bdist = FloatPoint(p-b).norm(); return MIN(adist, bdist); } } // find intersection between edges of two polygons. // endpoints count, except v2->_next static bool segSegIntersect(const Vertex *v1, const Vertex *v2, Common::Point &intp) { const Common::Point &a = v1->v; const Common::Point &b = v1->_next->v; const Common::Point &c = v2->v; const Common::Point &d = v2->_next->v; // First handle the endpoint cases manually if (collinear(a, b, c) && collinear(a, b, d)) return false; if (collinear(a, b, c)) { // a, b, c collinear // return true/c if c is between a and b intp = c; if (a.x != b.x) { if ((a.x <= c.x && c.x <= b.x) || (b.x <= c.x && c.x <= a.x)) return true; } else { if ((a.y <= c.y && c.y <= b.y) || (b.y <= c.y && c.y <= a.y)) return true; } } if (collinear(a, b, d)) { intp = d; // a, b, d collinear // return false/d if d is between a and b if (a.x != b.x) { if ((a.x <= d.x && d.x <= b.x) || (b.x <= d.x && d.x <= a.x)) return false; } else { if ((a.y <= d.y && d.y <= b.y) || (b.y <= d.y && d.y <= a.y)) return false; } } int len_dc = c.sqrDist(d); if (!len_dc) error("zero length edge in polygon"); if (pointSegDistance(c, d, a) <= 2.0f) { intp = a; return true; } if (pointSegDistance(c, d, b) <= 2.0f) { intp = b; return true; } // If not an endpoint, call the generic intersection function FloatPoint p; if (intersection(a, b, v2, &p) == PF_OK) { intp = p.toPoint(); return true; } else { return false; } } // For intersecting polygon segments, determine if // * the v2 edge enters polygon 1 at this intersection: positive return value // * the v2 edge and the v1 edges are parallel: zero return value // * the v2 edge exits polygon 1 at this intersection: negative return value static int intersectDir(const Vertex *v1, const Vertex *v2) { Common::Point p1 = v1->_next->v - v1->v; Common::Point p2 = v2->_next->v - v2->v; return (p1.x*p2.y - p2.x*p1.y); } // Direction of edge in degrees from pos. x-axis, between -180 and 180 static int edgeDir(const Vertex *v) { Common::Point p = v->_next->v - v->v; int deg = (int)Common::rad2deg(atan2((double)p.y, (double)p.x)); if (deg < -180) deg += 360; if (deg > 180) deg -= 360; return deg; } // For points p1, p2 on the polygon segment v, determine if // * p1 lies before p2: negative return value // * p1 and p2 are the same: zero return value // * p1 lies after p2: positive return value static int liesBefore(const Vertex *v, const Common::Point &p1, const Common::Point &p2) { return v->v.sqrDist(p1) - v->v.sqrDist(p2); } // Structure describing an "extension" to the work polygon following edges // of the polygon being merged. // The patch begins on the point intersection1, being the intersection // of the edges starting at indexw1/vertexw1 on the work polygon, and at // indexp1/vertexp1 on the polygon being merged. // It ends with the point intersection2, being the analogous intersection. struct Patch { unsigned int indexw1; unsigned int indexp1; const Vertex *vertexw1; const Vertex *vertexp1; Common::Point intersection1; unsigned int indexw2; unsigned int indexp2; const Vertex *vertexw2; const Vertex *vertexp2; Common::Point intersection2; bool disabled; // If true, this Patch was made superfluous by another Patch }; // Check if the given vertex on the work polygon is bypassed by this patch. static bool isVertexCovered(const Patch &p, unsigned int wi) { // / v (outside) // ---w1--1----p----w2--2---- // ^ \ (inside) if (wi > p.indexw1 && wi <= p.indexw2) return true; // v / (outside) // ---w2--2----p----w1--1---- // \ ^ (inside) if (p.indexw1 > p.indexw2 && (wi <= p.indexw2 || wi > p.indexw1)) return true; // v / (outside) // ---w1--2--1-------p----- // w2 \ ^ (inside) if (p.indexw1 == p.indexw2 && liesBefore(p.vertexw1, p.intersection1, p.intersection2) > 0) return true; // This patch actually covers _all_ vertices on work return false; } // Check if patch p1 makes patch p2 superfluous. static bool isPatchCovered(const Patch &p1, const Patch &p2) { // Same exit and entry points if (p1.intersection1 == p2.intersection1 && p1.intersection2 == p2.intersection2) return true; // / * v (outside) // ---p1w1--1----p2w1-1---p1w2--2---- // ^ * \ (inside) if (p1.indexw1 < p2.indexw1 && p2.indexw1 < p1.indexw2) return true; if (p1.indexw1 > p1.indexw2 && (p2.indexw1 > p1.indexw1 || p2.indexw1 < p1.indexw2)) return true; // / * v (outside) // ---p1w1--11----p2w2-2---p1w2--12---- // ^ * \ (inside) if (p1.indexw1 < p2.indexw2 && p2.indexw2 < p1.indexw2) return true; if (p1.indexw1 > p1.indexw2 && (p2.indexw2 > p1.indexw1 || p2.indexw2 < p1.indexw2)) return true; // Opposite of two above situations if (p2.indexw1 < p1.indexw1 && p1.indexw1 < p2.indexw2) return false; if (p2.indexw1 > p2.indexw2 && (p1.indexw1 > p2.indexw1 || p1.indexw1 < p2.indexw2)) return false; if (p2.indexw1 < p1.indexw2 && p1.indexw2 < p2.indexw2) return false; if (p2.indexw1 > p2.indexw2 && (p1.indexw2 > p2.indexw1 || p1.indexw2 < p2.indexw2)) return false; // The above checks covered the cases where one patch covers the other and // the intersections of the patches are on different edges. // So, if we passed the above checks, we have to check the order of // intersections on edges. if (p1.indexw1 != p1.indexw2) { // / * v (outside) // ---p1w1--11---21--------p1w2--2---- // p2w1 ^ * \ (inside) if (p1.indexw1 == p2.indexw1) return (liesBefore(p1.vertexw1, p1.intersection1, p2.intersection1) < 0); // / * v (outside) // ---p1w1--11---------p1w2--21---12---- // ^ p2w1 * \ (inside) if (p1.indexw2 == p2.indexw1) return (liesBefore(p1.vertexw2, p1.intersection2, p2.intersection1) > 0); // If neither of the above, then the intervals of the polygon // covered by patch1 and patch2 are disjoint return false; } // p1w1 == p1w2 // Also, p1w1/p1w2 isn't strictly between p2 // v / * (outside) // ---p1w1--12--11-------p2w1-21---- // p1w2 \ ^ * (inside) // v / / (outside) // ---p1w1--12--21--11--------- // p1w2 \ ^ ^ (inside) // p2w1 if (liesBefore(p1.vertexw1, p1.intersection1, p1.intersection2) > 0) return (p1.indexw1 != p2.indexw1); // CHECKME: This is meaningless if p2w1 != p2w2 ?? if (liesBefore(p2.vertexw1, p2.intersection1, p2.intersection2) > 0) return false; // CHECKME: This is meaningless if p1w1 != p2w1 ?? if (liesBefore(p2.vertexw1, p2.intersection1, p1.intersection1) <= 0) return false; // CHECKME: This is meaningless if p1w2 != p2w1 ?? if (liesBefore(p2.vertexw1, p2.intersection1, p1.intersection2) >= 0) return false; return true; } // Merge a single polygon into the work polygon. // If there is an intersection between work and polygon, this function // returns true, and replaces the vertex list of work by an extended version, // that covers polygon. // // NOTE: The strategy used matches qfg1new closely, and is a bit error-prone. // A more robust strategy would be inserting all intersection points directly // into both vertex lists as a first pass. This would make finding the merged // polygon a much more straightforward edge-walk, and avoid cases where SSCI's // algorithm mixes up the order of multiple intersections on a single edge. bool mergeSinglePolygon(Polygon &work, const Polygon &polygon) { #ifdef DEBUG_MERGEPOLY const Vertex *vertex; debugN("work:"); CLIST_FOREACH(vertex, &(work.vertices)) { debugN(" (%d,%d) ", vertex->v.x, vertex->v.y); } debugN("\n"); debugN("poly:"); CLIST_FOREACH(vertex, &(polygon.vertices)) { debugN(" (%d,%d) ", vertex->v.x, vertex->v.y); } debugN("\n"); #endif uint workSize = work.vertices.size(); uint polygonSize = polygon.vertices.size(); int patchCount = 0; Patch patchList[8]; const Vertex *workv = work.vertices._head; const Vertex *polyv = polygon.vertices._head; for (uint wi = 0; wi < workSize; ++wi, workv = workv->_next) { for (uint pi = 0; pi < polygonSize; ++pi, polyv = polyv->_next) { Common::Point intersection1; Common::Point intersection2; bool intersects = segSegIntersect(workv, polyv, intersection1); if (!intersects) continue; #ifdef DEBUG_MERGEPOLY debug("mergePoly: intersection at work %d, poly %d", wi, pi); #endif if (intersectDir(workv, polyv) >= 0) continue; #ifdef DEBUG_MERGEPOLY debug("mergePoly: intersection in right direction"); #endif int angle = 0; int baseAngle = edgeDir(workv); // We now found the point where an edge of 'polygon' left 'work'. // Now find the re-entry point. // NOTE: The order in which this searches does not always work // properly if the correct patch would only use a single partial // edge of poly. Because it starts at polyv->_next, it will skip // the correct re-entry and proceed to the next. const Vertex *workv2; const Vertex *polyv2 = polyv->_next; intersects = false; uint pi2, wi2; for (pi2 = 0; pi2 < polygonSize; ++pi2, polyv2 = polyv2->_next) { int newAngle = edgeDir(polyv2); int relAngle = newAngle - baseAngle; if (relAngle > 180) relAngle -= 360; if (relAngle < -180) relAngle += 360; angle += relAngle; baseAngle = newAngle; workv2 = workv; for (wi2 = 0; wi2 < workSize; ++wi2, workv2 = workv2->_next) { intersects = segSegIntersect(workv2, polyv2, intersection2); if (!intersects) continue; #ifdef DEBUG_MERGEPOLY debug("mergePoly: re-entry intersection at work %d, poly %d", (wi + wi2) % workSize, (pi + 1 + pi2) % polygonSize); #endif if (intersectDir(workv2, polyv2) > 0) { #ifdef DEBUG_MERGEPOLY debug("mergePoly: re-entry intersection in right direction, angle = %d", angle); #endif break; // found re-entry point } } if (intersects) break; } if (!intersects || angle < 0) continue; if (patchCount >= 8) error("kMergePoly: Too many patches"); // convert relative to absolute vertex indices pi2 = (pi + 1 + pi2) % polygonSize; wi2 = (wi + wi2) % workSize; Patch &newPatch = patchList[patchCount]; newPatch.indexw1 = wi; newPatch.vertexw1 = workv; newPatch.indexp1 = pi; newPatch.vertexp1 = polyv; newPatch.intersection1 = intersection1; newPatch.indexw2 = wi2; newPatch.vertexw2 = workv2; newPatch.indexp2 = pi2; newPatch.vertexp2 = polyv2; newPatch.intersection2 = intersection2; newPatch.disabled = false; #ifdef DEBUG_MERGEPOLY debug("mergePoly: adding patch at work %d, poly %d", wi, pi); #endif if (patchCount == 0) { patchCount++; continue; } bool necessary = true; for (int i = 0; i < patchCount; ++i) { if (isPatchCovered(patchList[i], newPatch)) { necessary = false; break; } } if (!necessary) continue; patchCount++; if (patchCount > 1) { // check if this patch makes other patches superfluous for (int i = 0; i < patchCount-1; ++i) if (isPatchCovered(newPatch, patchList[i])) patchList[i].disabled = true; } } } if (patchCount == 0) return false; // nothing changed // Determine merged work by doing a walk over the edges // of work, crossing over to polygon when encountering a patch. Polygon output(0); workv = work.vertices._head; for (uint wi = 0; wi < workSize; ++wi, workv = workv->_next) { bool covered = false; for (int p = 0; p < patchCount; ++p) { if (patchList[p].disabled) continue; if (isVertexCovered(patchList[p], wi)) { covered = true; break; } } if (!covered) { // Add vertex to output output.vertices.insertAtEnd(new Vertex(workv->v)); } // CHECKME: Why is this the correct order in which to process // the patches? (What if two of them start on this line segment // in the opposite order?) for (int p = 0; p < patchCount; ++p) { const Patch &patch = patchList[p]; if (patch.disabled) continue; if (patch.indexw1 != wi) continue; if (patch.intersection1 != workv->v) { // Add intersection point to output output.vertices.insertAtEnd(new Vertex(patch.intersection1)); } // Add vertices from polygon between vertexp1 (excl) and vertexp2 (incl) for (polyv = patch.vertexp1->_next; polyv != patch.vertexp2; polyv = polyv->_next) output.vertices.insertAtEnd(new Vertex(polyv->v)); output.vertices.insertAtEnd(new Vertex(patch.vertexp2->v)); if (patch.intersection2 != patch.vertexp2->v) { // Add intersection point to output output.vertices.insertAtEnd(new Vertex(patch.intersection2)); } // TODO: We could continue after the re-entry point here? } } // Remove last vertex if it's the same as the first vertex if (output.vertices._head->v == output.vertices._head->_prev->v) output.vertices.remove(output.vertices._head->_prev); // Slight hack: swap vertex lists of output and work polygons. SWAP(output.vertices._head, work.vertices._head); return true; } /** * This is a quite rare kernel function. An example of when it's called * is in QFG1VGA, after killing any monster. * * It takes a polygon, and extends it to also cover any polygons from the * input list with which it intersects. Any of those polygons so covered * from the input list are marked by adding 0x10 to their type field. */ reg_t kMergePoly(EngineState *s, int argc, reg_t *argv) { // 3 parameters: raw polygon data, polygon list, list size reg_t polygonData = argv[0]; List *list = s->_segMan->lookupList(argv[1]); // The size of the "work" point list SSCI uses. We use a dynamic one instead //reg_t listSize = argv[2]; SegmentRef pointList = s->_segMan->dereference(polygonData); if (!pointList.isValid() || pointList.skipByte) { warning("kMergePoly: Polygon data pointer is invalid"); return make_reg(0, 0); } Node *node; #ifdef DEBUG_MERGEPOLY node = s->_segMan->lookupNode(list->first); while (node) { draw_polygon(s, node->value, 320, 190); node = s->_segMan->lookupNode(node->succ); } Common::Point prev, first; prev = first = readPoint(pointList, 0); for (int i = 1; readPoint(pointList, i).x != 0x7777; i++) { Common::Point point = readPoint(pointList, i); draw_line(s, prev, point, 1, 320, 190); prev = point; } draw_line(s, prev, first, 1, 320, 190); // Update the whole screen g_sci->_gfxScreen->copyToScreen(); g_system->updateScreen(); g_system->delayMillis(1000); #endif // The work polygon which we're going to merge with the polygons in list Polygon work(0); for (int i = 0; true; ++i) { Common::Point p = readPoint(pointList, i); if (p.x == POLY_LAST_POINT) break; Vertex *vertex = new Vertex(p); work.vertices.insertAtEnd(vertex); } // TODO: Check behaviour for single-vertex polygons node = s->_segMan->lookupNode(list->first); while (node) { Polygon *polygon = convert_polygon(s, node->value); if (polygon) { // CHECKME: Confirm vertex order that convert_polygon and // fix_vertex_order output. For now, we re-reverse the order since // convert_polygon reads the vertices reversed, and fix up head. polygon->vertices.reverse(); polygon->vertices._head = polygon->vertices._head->_next; // Merge this polygon into the work polygon if there is an // intersection. bool intersected = mergeSinglePolygon(work, *polygon); // If so, flag it if (intersected) { writeSelectorValue(s->_segMan, node->value, SELECTOR(type), polygon->type + 0x10); #ifdef DEBUG_MERGEPOLY debugN("Merged polygon: "); // Iterate over edges Vertex *vertex; CLIST_FOREACH(vertex, &(work.vertices)) { debugN(" (%d,%d) ", vertex->v.x, vertex->v.y); } debugN("\n"); #endif } delete polygon; } node = s->_segMan->lookupNode(node->succ); } // Allocate output array reg_t output = allocateOutputArray(s->_segMan, work.vertices.size()+1); SegmentRef arrayRef = s->_segMan->dereference(output); // Copy work.vertices into arrayRef Vertex *vertex; unsigned int n = 0; CLIST_FOREACH(vertex, &work.vertices) { if (vertex == work.vertices._head || vertex->v != vertex->_prev->v) writePoint(arrayRef, n++, vertex->v); } writePoint(arrayRef, n, Common::Point(POLY_LAST_POINT, POLY_LAST_POINT)); #ifdef DEBUG_MERGEPOLY prev = first = readPoint(arrayRef, 0); for (int i = 1; readPoint(arrayRef, i).x != 0x7777; i++) { Common::Point point = readPoint(arrayRef, i); draw_line(s, prev, point, 3, 320, 190); prev = point; } draw_line(s, prev, first, 3, 320, 190); // Update the whole screen g_sci->_gfxScreen->copyToScreen(); g_system->updateScreen(); if (!g_sci->_gfxPaint16) g_system->delayMillis(1000); debug("kMergePoly done"); #endif return output; } #ifdef ENABLE_SCI32 reg_t kInPolygon(EngineState *s, int argc, reg_t *argv) { // kAvoidPath already implements this return kAvoidPath(s, argc, argv); } #endif } // End of namespace Sci