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Quadtree finished

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master
dmatetelki 9 years ago
parent 8b5b53a5d1
commit d9522e40be
2 changed files with 91 additions and 33 deletions
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28
lib/graph/quad_tree.hpp
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@ -4,7 +4,7 @@
#include <vector>
#include <utility> // move
#include <cassert>
#include <cstdlib> // abs
#include <cmath> // std::fabs
// From wikipedia: http://en.wikipedia.org/wiki/Quadtree#Pseudo_code
@ -32,31 +32,13 @@ struct AABB
, m_halfDimension(halfDimension) {}
bool containsPoint(const P& p) const {
return p.x >= m_center.x - m_halfDimension &&
p.x <= m_center.x + m_halfDimension &&
p.y >= m_center.y - m_halfDimension &&
p.y <= m_center.y + m_halfDimension;
// return (abs(p.x - m_center.x) <= m_halfDimension) &&
// (abs(p.y - m_center.y) <= m_halfDimension);
return (std::fabs(m_center.x - p.x) <= m_halfDimension) &&
(std::fabs(m_center.y - p.y) <= m_halfDimension);
}
bool intersectsAABB(const AABB& other) const {
// return containsPoint(P(other.m_center.x - other.m_halfDimension, other.m_center.y - other.m_halfDimension)) ||
// containsPoint(P(other.m_center.x - other.m_halfDimension, other.m_center.y + other.m_halfDimension)) ||
// containsPoint(P(other.m_center.x + other.m_halfDimension, other.m_center.y - other.m_halfDimension)) ||
// containsPoint(P(other.m_center.x + other.m_halfDimension, other.m_center.y + other.m_halfDimension));
// return (abs(m_center.x - other.m_center.x) <= m_halfDimension + other.m_halfDimension) &&
// (abs(m_center.y - other.m_center.y) <= m_halfDimension + other.m_halfDimension);
// return dist(m_center, other.m_center) < m_halfDimension + other.m_halfDimension;
return other.m_center.x + other.m_center.x >= m_center.x - m_halfDimension &&
other.m_center.x - other.m_center.x <= m_center.x + m_halfDimension &&
other.m_center.y + other.m_center.y >= m_center.y - m_halfDimension &&
other.m_center.y - other.m_center.y <= m_center.y + m_halfDimension;
return (std::fabs(m_center.x - other.m_center.x) <= m_halfDimension + other.m_halfDimension) &&
(std::fabs(m_center.y - other.m_center.y) <= m_halfDimension + other.m_halfDimension);
}
};

96
test/graph/test_quad_tree.cpp
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@ -4,7 +4,85 @@
#include "fixture.hpp"
#include <iostream>
TEST_CASE( "Quad tree, AABB", "[quad_tree][data_structure][AABB]" ) {
const float2 center(0, 0);
constexpr float halfDimension(10);
const AABB<float2> boundary(center, halfDimension);
SECTION("containsPoint in") {
REQUIRE ( boundary.containsPoint(center) == true );
REQUIRE ( boundary.containsPoint(float2(center.x - halfDimension, center.y)) == true );
REQUIRE ( boundary.containsPoint(float2(center.x + halfDimension, center.y)) == true );
REQUIRE ( boundary.containsPoint(float2(center.x, center.y - halfDimension)) == true );
REQUIRE ( boundary.containsPoint(float2(center.x, center.y + halfDimension)) == true );
REQUIRE ( boundary.containsPoint(float2(center.x - halfDimension, center.y - halfDimension)) == true );
REQUIRE ( boundary.containsPoint(float2(center.x - halfDimension, center.y + halfDimension)) == true );
REQUIRE ( boundary.containsPoint(float2(center.x + halfDimension, center.y - halfDimension)) == true );
REQUIRE ( boundary.containsPoint(float2(center.x + halfDimension, center.y + halfDimension)) == true );
}
SECTION("containsPoint out") {
constexpr float halfDimension_1 = halfDimension + 1.0;
REQUIRE ( boundary.containsPoint(float2(center.x - halfDimension_1, center.y)) == false );
REQUIRE ( boundary.containsPoint(float2(center.x + halfDimension_1, center.y)) == false );
REQUIRE ( boundary.containsPoint(float2(center.x, center.y - halfDimension_1)) == false );
REQUIRE ( boundary.containsPoint(float2(center.x, center.y + halfDimension_1)) == false );
REQUIRE ( boundary.containsPoint(float2(center.x - halfDimension_1, center.y - halfDimension_1)) == false );
REQUIRE ( boundary.containsPoint(float2(center.x - halfDimension_1, center.y + halfDimension_1)) == false );
REQUIRE ( boundary.containsPoint(float2(center.x + halfDimension_1, center.y - halfDimension_1)) == false );
REQUIRE ( boundary.containsPoint(float2(center.x + halfDimension_1, center.y + halfDimension_1)) == false );
}
SECTION("containsPoint invalid") {
constexpr float halfDimension_1 = halfDimension + 1.0;
REQUIRE ( boundary.containsPoint(float2(center.x - halfDimension_1, center.y)) == false );
REQUIRE ( boundary.containsPoint(float2(center.x + halfDimension_1, center.y)) == false );
REQUIRE ( boundary.containsPoint(float2(center.x, center.y - halfDimension_1)) == false );
REQUIRE ( boundary.containsPoint(float2(center.x, center.y + halfDimension_1)) == false );
REQUIRE ( boundary.containsPoint(float2(center.x - halfDimension_1, center.y - halfDimension_1)) == false );
REQUIRE ( boundary.containsPoint(float2(center.x - halfDimension_1, center.y + halfDimension_1)) == false );
REQUIRE ( boundary.containsPoint(float2(center.x + halfDimension_1, center.y - halfDimension_1)) == false );
REQUIRE ( boundary.containsPoint(float2(center.x + halfDimension_1, center.y + halfDimension_1)) == false );
}
SECTION("intersectsAABB") {
constexpr float halfDimension_1 = halfDimension + 1.0;
REQUIRE( boundary.intersectsAABB(AABB<float2>(center, 1.0)) == true);
REQUIRE( boundary.intersectsAABB(AABB<float2>(center, halfDimension)) == true);
REQUIRE( boundary.intersectsAABB(AABB<float2>(center, halfDimension_1)) == true);
const float2 center2(center.x + halfDimension, center.y);
REQUIRE( boundary.intersectsAABB(AABB<float2>(center2, 0.0)) == true);
REQUIRE( boundary.intersectsAABB(AABB<float2>(center2, halfDimension)) == true);
REQUIRE( boundary.intersectsAABB(AABB<float2>(center2, halfDimension_1)) == true);
const float2 center3(center.x + halfDimension * 2, center.y);
REQUIRE( boundary.intersectsAABB(AABB<float2>(center3, 0.0)) == false);
REQUIRE( boundary.intersectsAABB(AABB<float2>(center3, halfDimension)) == true);
REQUIRE( boundary.intersectsAABB(AABB<float2>(center3, halfDimension_1)) == true);
const float2 center4(center.x + halfDimension_1 * 2, center.y);
REQUIRE( boundary.intersectsAABB(AABB<float2>(center4, 0.0)) == false);
REQUIRE( boundary.intersectsAABB(AABB<float2>(center4, halfDimension)) == false);
REQUIRE( boundary.intersectsAABB(AABB<float2>(center4, halfDimension_1)) == false);
}
SECTION("special") {
// std::fabs instead of std::abs, which would turn float->int
const AABB<float2> boundary2(float2(-3.75, -8.75), 1.25);
REQUIRE( boundary2.containsPoint(float2(-2, -8)) == false);
}
}
TEST_CASE( "Quad tree", "[quad_tree][data_structure]" ) {
@ -82,10 +160,10 @@ TEST_CASE( "Quad tree", "[quad_tree][data_structure]" ) {
const float2 topLeft(-halfDimension, -halfDimension);
const std::vector<float2> points = t.queryRange(AABB<float2>(topLeft, halfDimension/2));
REQUIRE ( points.size() == 25);
for (int c = -halfDimension; c < halfDimension/2; ++c)
for (int r = -halfDimension; r < halfDimension/2; ++r)
REQUIRE ( std::find(points.begin(), points.end(), float2(r, c)) != points.end() );
REQUIRE ( points.size() == 36);
for (int c = -halfDimension; c < -halfDimension/2; ++c)
for (int r = -halfDimension; r < -halfDimension/2; ++r)
REQUIRE ( std::find(points.begin(), points.end(), float2(center.x + r, center.y + c)) != points.end() );
}
SECTION("Query many points inside") {
@ -93,13 +171,11 @@ TEST_CASE( "Quad tree", "[quad_tree][data_structure]" ) {
for (int r = -halfDimension; r < halfDimension; ++r)
REQUIRE ( t.insert(float2(center.x + r, center.y + c)) == true );
const float2 right(0, halfDimension/2);
const float2 right(halfDimension/2, 0);
const std::vector<float2> points = t.queryRange(AABB<float2>(right, halfDimension/4));
REQUIRE ( points.size() == 25);
const float2 range_topleft(halfDimension/4, -halfDimension/4);
for (int c = 0; c < halfDimension/2; ++c)
for (int r = 0; r < halfDimension/2; ++r)
REQUIRE ( std::find(points.begin(), points.end(), float2(range_topleft.x + r, range_topleft.y + c)) != points.end() );
for (int c = -halfDimension/4; c < halfDimension/4; ++c)
for (int r = std::ceil(halfDimension/4); r < halfDimension*0.75; ++r)
REQUIRE ( std::find(points.begin(), points.end(), float2(center.x + r, center.y + c)) != points.end() );
}
}

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