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QIDISlicer1.0.0
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193
src/libslic3r/AStar.hpp
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193
src/libslic3r/AStar.hpp
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#ifndef ASTAR_HPP
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#define ASTAR_HPP
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#include <cmath> // std::isinf() is here
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#include <unordered_map>
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#include "libslic3r/MutablePriorityQueue.hpp"
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namespace Slic3r { namespace astar {
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// Borrowed from C++20
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template<class T>
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using remove_cvref_t = std::remove_cv_t<std::remove_reference_t<T>>;
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// Input interface for the Astar algorithm. Specialize this struct for a
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// particular type and implement all the 4 methods and specify the Node type
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// to register the new type for the astar implementation.
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template<class T> struct TracerTraits_
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{
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// The type of a node used by this tracer. Usually a point in space.
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using Node = typename T::Node;
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// Call fn for every new node reachable from node 'src'. fn should have the
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// candidate node as its only argument.
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template<class Fn>
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static void foreach_reachable(const T &tracer, const Node &src, Fn &&fn)
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{
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tracer.foreach_reachable(src, fn);
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}
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// Get the distance from node 'a' to node 'b'. This is sometimes referred
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// to as the g value of a node in AStar context.
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static float distance(const T &tracer, const Node &a, const Node &b)
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{
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return tracer.distance(a, b);
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}
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// Get the estimated distance heuristic from node 'n' to the destination.
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// This is referred to as the h value in AStar context.
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// If node 'n' is the goal, this function should return a negative value.
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// Note that this heuristic should be admissible (never bigger than the real
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// cost) in order for Astar to work.
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static float goal_heuristic(const T &tracer, const Node &n)
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{
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return tracer.goal_heuristic(n);
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}
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// Return a unique identifier (hash) for node 'n'.
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static size_t unique_id(const T &tracer, const Node &n)
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{
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return tracer.unique_id(n);
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}
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};
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// Helper definition to get the node type of a tracer
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template<class T>
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using TracerNodeT = typename TracerTraits_<remove_cvref_t<T>>::Node;
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constexpr auto Unassigned = std::numeric_limits<size_t>::max();
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template<class Tracer>
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struct QNode // Queue node. Keeps track of scores g, and h
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{
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TracerNodeT<Tracer> node; // The actual node itself
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size_t queue_id; // Position in the open queue or Unassigned if closed
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size_t parent; // unique id of the parent or Unassigned
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float g, h;
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float f() const { return g + h; }
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QNode(TracerNodeT<Tracer> n = {},
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size_t p = Unassigned,
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float gval = std::numeric_limits<float>::infinity(),
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float hval = 0.f)
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: node{std::move(n)}
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, parent{p}
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, queue_id{InvalidQueueID}
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, g{gval}
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, h{hval}
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{}
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};
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// Run the AStar algorithm on a tracer implementation.
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// The 'tracer' argument encapsulates the domain (grid, point cloud, etc...)
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// The 'source' argument is the starting node.
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// The 'out' argument is the output iterator into which the output nodes are
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// written. For performance reasons, the order is reverse, from the destination
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// to the source -- (destination included, source is not).
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// The 'cached_nodes' argument is an optional associative container to hold a
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// QNode entry for each visited node. Any compatible container can be used
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// (like std::map or maps with different allocators, even a sufficiently large
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// std::vector).
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//
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// Note that no destination node is given in the signature. The tracer's
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// goal_heuristic() method should return a negative value if a node is a
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// destination node.
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template<class Tracer,
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class It,
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class NodeMap = std::unordered_map<size_t, QNode<Tracer>>>
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bool search_route(const Tracer &tracer,
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const TracerNodeT<Tracer> &source,
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It out,
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NodeMap &&cached_nodes = {})
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{
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using Node = TracerNodeT<Tracer>;
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using QNode = QNode<Tracer>;
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using TracerTraits = TracerTraits_<remove_cvref_t<Tracer>>;
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struct LessPred { // Comparison functor needed by the priority queue
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NodeMap &m;
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bool operator ()(size_t node_a, size_t node_b) {
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return m[node_a].f() < m[node_b].f();
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}
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};
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auto qopen = make_mutable_priority_queue<size_t, true>(
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[&cached_nodes](size_t el, size_t qidx) {
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cached_nodes[el].queue_id = qidx;
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},
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LessPred{cached_nodes});
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QNode initial{source, /*parent = */ Unassigned, /*g = */0.f};
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size_t source_id = TracerTraits::unique_id(tracer, source);
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cached_nodes[source_id] = initial;
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qopen.push(source_id);
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size_t goal_id = TracerTraits::goal_heuristic(tracer, source) < 0.f ?
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source_id :
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Unassigned;
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while (goal_id == Unassigned && !qopen.empty()) {
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size_t q_id = qopen.top();
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qopen.pop();
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QNode &q = cached_nodes[q_id];
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// This should absolutely be initialized in the cache already
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assert(!std::isinf(q.g));
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TracerTraits::foreach_reachable(tracer, q.node, [&](const Node &succ_nd) {
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if (goal_id != Unassigned)
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return true;
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float h = TracerTraits::goal_heuristic(tracer, succ_nd);
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float dst = TracerTraits::distance(tracer, q.node, succ_nd);
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size_t succ_id = TracerTraits::unique_id(tracer, succ_nd);
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QNode qsucc_nd{succ_nd, q_id, q.g + dst, h};
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if (h < 0.f) {
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goal_id = succ_id;
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cached_nodes[succ_id] = qsucc_nd;
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} else {
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// If succ_id is not in cache, it gets created with g = infinity
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QNode &prev_nd = cached_nodes[succ_id];
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if (qsucc_nd.g < prev_nd.g) {
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// new route is better, apply it:
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// Save the old queue id, it would be lost after the next line
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size_t queue_id = prev_nd.queue_id;
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// The cache needs to be updated either way
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prev_nd = qsucc_nd;
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if (queue_id == InvalidQueueID)
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// was in closed or unqueued, rescheduling
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qopen.push(succ_id);
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else // was in open, updating
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qopen.update(queue_id);
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}
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}
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return goal_id != Unassigned;
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});
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}
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// Write the output, do not reverse. Clients can do so if they need to.
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if (goal_id != Unassigned) {
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const QNode *q = &cached_nodes[goal_id];
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while (q->parent != Unassigned) {
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assert(!std::isinf(q->g)); // Uninitialized nodes are NOT allowed
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*out = q->node;
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++out;
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q = &cached_nodes[q->parent];
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}
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}
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return goal_id != Unassigned;
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}
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}} // namespace Slic3r::astar
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#endif // ASTAR_HPP
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