godot/main/tests/test_astar.cpp

/*************************************************************************/
/*  test_astar.cpp                                                       */
/*************************************************************************/
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/* Copyright (c) 2007-2020 Juan Linietsky, Ariel Manzur.                 */
/* Copyright (c) 2014-2020 Godot Engine contributors (cf. AUTHORS.md).   */
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#include "test_astar.h"

#include "core/math/a_star.h"
#include "core/math/math_funcs.h"
#include "core/os/os.h"

#include <math.h>
#include <stdio.h>

namespace TestAStar {

class ABCX : public AStar {
public:
	enum { A,
		B,
		C,
		X };

	ABCX() {
		add_point(A, Vector3(0, 0, 0));
		add_point(B, Vector3(1, 0, 0));
		add_point(C, Vector3(0, 1, 0));
		add_point(X, Vector3(0, 0, 1));
		connect_points(A, B);
		connect_points(A, C);
		connect_points(B, C);
		connect_points(X, A);
	}

	// Disable heuristic completely
	float _compute_cost(int p_from, int p_to) {
		if (p_from == A && p_to == C) {
			return 1000;
		}
		return 100;
	}
};

bool test_abc() {
	ABCX abcx;
	Vector<int> path = abcx.get_id_path(ABCX::A, ABCX::C);
	bool ok = path.size() == 3;
	int i = 0;
	ok = ok && path[i++] == ABCX::A;
	ok = ok && path[i++] == ABCX::B;
	ok = ok && path[i++] == ABCX::C;
	return ok;
}

bool test_abcx() {
	ABCX abcx;
	Vector<int> path = abcx.get_id_path(ABCX::X, ABCX::C);
	bool ok = path.size() == 4;
	int i = 0;
	ok = ok && path[i++] == ABCX::X;
	ok = ok && path[i++] == ABCX::A;
	ok = ok && path[i++] == ABCX::B;
	ok = ok && path[i++] == ABCX::C;
	return ok;
}

bool test_add_remove() {
	AStar a;
	bool ok = true;

	// Manual tests
	a.add_point(1, Vector3(0, 0, 0));
	a.add_point(2, Vector3(0, 1, 0));
	a.add_point(3, Vector3(1, 1, 0));
	a.add_point(4, Vector3(2, 0, 0));
	a.connect_points(1, 2, true);
	a.connect_points(1, 3, true);
	a.connect_points(1, 4, false);

	ok = ok && (a.are_points_connected(2, 1) == true);
	ok = ok && (a.are_points_connected(4, 1) == true);
	ok = ok && (a.are_points_connected(2, 1, false) == true);
	ok = ok && (a.are_points_connected(4, 1, false) == false);

	a.disconnect_points(1, 2, true);
	ok = ok && (a.get_point_connections(1).size() == 2); // 3, 4
	ok = ok && (a.get_point_connections(2).size() == 0);

	a.disconnect_points(4, 1, false);
	ok = ok && (a.get_point_connections(1).size() == 2); // 3, 4
	ok = ok && (a.get_point_connections(4).size() == 0);

	a.disconnect_points(4, 1, true);
	ok = ok && (a.get_point_connections(1).size() == 1); // 3
	ok = ok && (a.get_point_connections(4).size() == 0);

	a.connect_points(2, 3, false);
	ok = ok && (a.get_point_connections(2).size() == 1); // 3
	ok = ok && (a.get_point_connections(3).size() == 1); // 1

	a.connect_points(2, 3, true);
	ok = ok && (a.get_point_connections(2).size() == 1); // 3
	ok = ok && (a.get_point_connections(3).size() == 2); // 1, 2

	a.disconnect_points(2, 3, false);
	ok = ok && (a.get_point_connections(2).size() == 0);
	ok = ok && (a.get_point_connections(3).size() == 2); // 1, 2

	a.connect_points(4, 3, true);
	ok = ok && (a.get_point_connections(3).size() == 3); // 1, 2, 4
	ok = ok && (a.get_point_connections(4).size() == 1); // 3

	a.disconnect_points(3, 4, false);
	ok = ok && (a.get_point_connections(3).size() == 2); // 1, 2
	ok = ok && (a.get_point_connections(4).size() == 1); // 3

	a.remove_point(3);
	ok = ok && (a.get_point_connections(1).size() == 0);
	ok = ok && (a.get_point_connections(2).size() == 0);
	ok = ok && (a.get_point_connections(4).size() == 0);

	a.add_point(0, Vector3(0, -1, 0));
	a.add_point(3, Vector3(2, 1, 0));
	// 0: (0, -1)
	// 1: (0, 0)
	// 2: (0, 1)
	// 3: (2, 1)
	// 4: (2, 0)

	// Tests for get_closest_position_in_segment
	a.connect_points(2, 3);
	ok = ok && (a.get_closest_position_in_segment(Vector3(0.5, 0.5, 0)) == Vector3(0.5, 1, 0));

	a.connect_points(3, 4);
	a.connect_points(0, 3);
	a.connect_points(1, 4);
	a.disconnect_points(1, 4, false);
	a.disconnect_points(4, 3, false);
	a.disconnect_points(3, 4, false);
	// Remaining edges: <2, 3>, <0, 3>, <1, 4> (directed)
	ok = ok && (a.get_closest_position_in_segment(Vector3(2, 0.5, 0)) == Vector3(1.75, 0.75, 0));
	ok = ok && (a.get_closest_position_in_segment(Vector3(-1, 0.2, 0)) == Vector3(0, 0, 0));
	ok = ok && (a.get_closest_position_in_segment(Vector3(3, 2, 0)) == Vector3(2, 1, 0));

	Math::seed(0);

	// Random tests for connectivity checks
	for (int i = 0; i < 20000; i++) {
		int u = Math::rand() % 5;
		int v = Math::rand() % 4;
		if (u == v) v = 4;
		if (Math::rand() % 2 == 1) {
			// Add a (possibly existing) directed edge and confirm connectivity
			a.connect_points(u, v, false);
			ok = ok && (a.are_points_connected(u, v, false) == true);
		} else {
			// Remove a (possibly nonexistent) directed edge and confirm disconnectivity
			a.disconnect_points(u, v, false);
			ok = ok && (a.are_points_connected(u, v, false) == false);
		}
	}

	// Random tests for point removal
	for (int i = 0; i < 20000; i++) {
		a.clear();
		for (int j = 0; j < 5; j++)
			a.add_point(j, Vector3(0, 0, 0));

		// Add or remove random edges
		for (int j = 0; j < 10; j++) {
			int u = Math::rand() % 5;
			int v = Math::rand() % 4;
			if (u == v) v = 4;
			if (Math::rand() % 2 == 1)
				a.connect_points(u, v, false);
			else
				a.disconnect_points(u, v, false);
		}

		// Remove point 0
		a.remove_point(0);
		// White box: this will check all edges remaining in the segments set
		for (int j = 1; j < 5; j++) {
			ok = ok && (a.are_points_connected(0, j, true) == false);
		}
	}

	// It's been great work, cheers \(^ ^)/
	return ok;
}

bool test_solutions() {
	// Random stress tests with Floyd-Warshall

	const int N = 30;
	Math::seed(0);

	for (int test = 0; test < 1000; test++) {
		AStar a;
		Vector3 p[N];
		bool adj[N][N] = { { false } };

		// Assign initial coordinates
		for (int u = 0; u < N; u++) {
			p[u].x = Math::rand() % 100;
			p[u].y = Math::rand() % 100;
			p[u].z = Math::rand() % 100;
			a.add_point(u, p[u]);
		}

		// Generate a random sequence of operations
		for (int i = 0; i < 1000; i++) {
			// Pick two different vertices
			int u, v;
			u = Math::rand() % N;
			v = Math::rand() % (N - 1);
			if (u == v) v = N - 1;

			// Pick a random operation
			int op = Math::rand();
			switch (op % 9) {
				case 0:
				case 1:
				case 2:
				case 3:
				case 4:
				case 5:
					// Add edge (u, v); possibly bidirectional
					a.connect_points(u, v, op % 2);
					adj[u][v] = true;
					if (op % 2) adj[v][u] = true;
					break;
				case 6:
				case 7:
					// Remove edge (u, v); possibly bidirectional
					a.disconnect_points(u, v, op % 2);
					adj[u][v] = false;
					if (op % 2) adj[v][u] = false;
					break;
				case 8:
					// Remove point u and add it back; clears adjacent edges and changes coordinates
					a.remove_point(u);
					p[u].x = Math::rand() % 100;
					p[u].y = Math::rand() % 100;
					p[u].z = Math::rand() % 100;
					a.add_point(u, p[u]);
					for (v = 0; v < N; v++)
						adj[u][v] = adj[v][u] = false;
					break;
			}
		}

		// Floyd-Warshall
		float d[N][N];
		for (int u = 0; u < N; u++)
			for (int v = 0; v < N; v++)
				d[u][v] = (u == v || adj[u][v]) ? p[u].distance_to(p[v]) : INFINITY;

		for (int w = 0; w < N; w++)
			for (int u = 0; u < N; u++)
				for (int v = 0; v < N; v++)
					if (d[u][v] > d[u][w] + d[w][v])
						d[u][v] = d[u][w] + d[w][v];

		// Display statistics
		int count = 0;
		for (int u = 0; u < N; u++)
			for (int v = 0; v < N; v++)
				if (adj[u][v]) count++;
		printf("Test #%4d: %3d edges, ", test + 1, count);
		count = 0;
		for (int u = 0; u < N; u++)
			for (int v = 0; v < N; v++)
				if (!Math::is_inf(d[u][v])) count++;
		printf("%3d/%d pairs of reachable points\n", count - N, N * (N - 1));

		// Check A*'s output
		bool match = true;
		for (int u = 0; u < N; u++)
			for (int v = 0; v < N; v++)
				if (u != v) {
					Vector<int> route = a.get_id_path(u, v);
					if (!Math::is_inf(d[u][v])) {
						// Reachable
						if (route.size() == 0) {
							printf("From %d to %d: A* did not find a path\n", u, v);
							match = false;
							goto exit;
						}
						float astar_dist = 0;
						for (int i = 1; i < route.size(); i++) {
							if (!adj[route[i - 1]][route[i]]) {
								printf("From %d to %d: edge (%d, %d) does not exist\n",
										u, v, route[i - 1], route[i]);
								match = false;
								goto exit;
							}
							astar_dist += p[route[i - 1]].distance_to(p[route[i]]);
						}
						if (!Math::is_equal_approx(astar_dist, d[u][v])) {
							printf("From %d to %d: Floyd-Warshall gives %.6f, A* gives %.6f\n",
									u, v, d[u][v], astar_dist);
							match = false;
							goto exit;
						}
					} else {
						// Unreachable
						if (route.size() > 0) {
							printf("From %d to %d: A* somehow found a nonexistent path\n", u, v);
							match = false;
							goto exit;
						}
					}
				}

	exit:
		if (!match) return false;
	}
	return true;
}

typedef bool (*TestFunc)(void);

TestFunc test_funcs[] = {
	test_abc,
	test_abcx,
	test_add_remove,
	test_solutions,
	NULL
};

MainLoop *test() {
	int count = 0;
	int passed = 0;

	while (true) {
		if (!test_funcs[count])
			break;
		bool pass = test_funcs[count]();
		if (pass)
			passed++;
		OS::get_singleton()->print("\t%s\n", pass ? "PASS" : "FAILED");

		count++;
	}
	OS::get_singleton()->print("\n");
	OS::get_singleton()->print("Passed %i of %i tests\n", passed, count);
	return NULL;
}

} // namespace TestAStar