From a31abbde48207372da39458124dc76d20485773c Mon Sep 17 00:00:00 2001 From: Johannes Schneider Date: Thu, 6 May 2021 21:51:48 +0200 Subject: [PATCH 1/5] [octree-collision] Implemented octree collision detection --- .../inexor/vulkan-renderer/application.hpp | 6 + .../vulkan-renderer/world/collision.hpp | 60 ++++++ .../vulkan-renderer/world/collision_query.hpp | 39 ++++ include/inexor/vulkan-renderer/world/cube.hpp | 18 ++ src/CMakeLists.txt | 2 + src/vulkan-renderer/application.cpp | 66 +++++-- src/vulkan-renderer/renderer.cpp | 5 +- src/vulkan-renderer/world/collision.cpp | 183 ++++++++++++++++++ src/vulkan-renderer/world/collision_query.cpp | 132 +++++++++++++ 9 files changed, 493 insertions(+), 18 deletions(-) create mode 100644 include/inexor/vulkan-renderer/world/collision.hpp create mode 100644 include/inexor/vulkan-renderer/world/collision_query.hpp create mode 100644 src/vulkan-renderer/world/collision.cpp create mode 100644 src/vulkan-renderer/world/collision_query.cpp diff --git a/include/inexor/vulkan-renderer/application.hpp b/include/inexor/vulkan-renderer/application.hpp index 9d51a97e9..e9ac6e618 100644 --- a/include/inexor/vulkan-renderer/application.hpp +++ b/include/inexor/vulkan-renderer/application.hpp @@ -2,6 +2,8 @@ #include "inexor/vulkan-renderer/input/keyboard_mouse_data.hpp" #include "inexor/vulkan-renderer/renderer.hpp" +#include "inexor/vulkan-renderer/world/collision_query.hpp" +#include "inexor/vulkan-renderer/world/cube.hpp" #include #include @@ -33,6 +35,8 @@ class Application : public VulkanRenderer { std::unique_ptr m_input_data; bool m_enable_validation_layers = true; + /// Inexor engine supports a variable number of octrees. + std::vector> m_worlds; // If the user specified command line argument "--stop-on-validation-message", the program will call std::abort(); // after reporting a validation layer (error) message. @@ -50,6 +54,8 @@ class Application : public VulkanRenderer { void update_imgui_overlay(); void check_application_specific_features(); void update_uniform_buffers(); + /// Use the camera's position and view direction vector to check for ray-octree collisions with all octrees. + void check_octree_collisions(); void process_mouse_input(); public: diff --git a/include/inexor/vulkan-renderer/world/collision.hpp b/include/inexor/vulkan-renderer/world/collision.hpp new file mode 100644 index 000000000..e36a13bf4 --- /dev/null +++ b/include/inexor/vulkan-renderer/world/collision.hpp @@ -0,0 +1,60 @@ +#pragma once + +#include + +#include +#include + +namespace inexor::vulkan_renderer::world { + +/// @brief A wrapper for collisions between a ray and octree geometry. +/// This class is used for octree collision, but it can be used for every cube-like data structure +/// @tparam T A templatable type which offers a size() and center() method. +template +class RayCubeCollision { + const T &m_cube; + + glm::vec3 m_intersection; + glm::vec3 m_selected_face; + glm::vec3 m_nearest_corner; + glm::vec3 m_nearest_edge; + +public: + /// @brief Calculate point of intersection, selected face, + /// nearest corner on that face, and nearest edge on that face. + /// @param cube The cube to check for collision. + /// @param ray_pos The start point of the ray. + /// @param ray_dir The direction of the ray. + RayCubeCollision(const T &cube, glm::vec3 ray_pos, glm::vec3 ray_dir); + + RayCubeCollision(const RayCubeCollision &) = delete; + + RayCubeCollision(RayCubeCollision &&other) noexcept; + + ~RayCubeCollision() = default; + + RayCubeCollision &operator=(const RayCubeCollision &) = delete; + RayCubeCollision &operator=(RayCubeCollision &&) = delete; + + [[nodiscard]] const T &cube() const noexcept { + return m_cube; + } + + [[nodiscard]] const glm::vec3 &intersection() const noexcept { + return m_intersection; + } + + [[nodiscard]] const glm::vec3 &face() const noexcept { + return m_selected_face; + } + + [[nodiscard]] const glm::vec3 &corner() const noexcept { + return m_nearest_corner; + } + + [[nodiscard]] const glm::vec3 &edge() const noexcept { + return m_nearest_edge; + } +}; + +} // namespace inexor::vulkan_renderer::world diff --git a/include/inexor/vulkan-renderer/world/collision_query.hpp b/include/inexor/vulkan-renderer/world/collision_query.hpp new file mode 100644 index 000000000..bf96e0524 --- /dev/null +++ b/include/inexor/vulkan-renderer/world/collision_query.hpp @@ -0,0 +1,39 @@ +#pragma once + +#include "inexor/vulkan-renderer/world/collision.hpp" + +#include + +#include + +// Forward declaration +namespace inexor::vulkan_renderer::world { +class Cube; +} // namespace inexor::vulkan_renderer::world + +namespace inexor::vulkan_renderer::world { + +// TODO: Implement PointCubeCollision + +/// @brief ``True`` of the ray build from the two vectors collides with the cube's bounding box. +/// @note There is no such function as glm::intersectRayBox. +/// @param box_bounds An array of two vectors which represent the edges of the bounding box. +/// @param pos The start position of the ray. +/// @param dir The direction of the ray. +/// @return ``True`` if the ray collides with the octree cube's bounding box. +[[nodiscard]] bool ray_box_collision(std::array &box_bounds, glm::vec3 &pos, glm::vec3 &dir); + +/// @brief Check for a collision between a camera ray and octree geometry. +/// @param cube The cube to check collisions with. +/// @param pos The camera position. +/// @param dir The camera view direction. +/// @param max_depth The maximum subcube iteration depth. If this depth is reached and the cube is an octant, it +/// will be treated as if it was a solid cube. This is the foundation for the implementation of grid size in octree +/// editor. +/// @note This does not account yet for octree indentation! +/// @return A std::optional which contains the collision data (if any found). +[[nodiscard]] std::optional> +ray_cube_collision_check(const Cube &cube, glm::vec3 pos, glm::vec3 dir, + std::optional max_depth = std::nullopt); + +} // namespace inexor::vulkan_renderer::world diff --git a/include/inexor/vulkan-renderer/world/cube.hpp b/include/inexor/vulkan-renderer/world/cube.hpp index 5277cb1d0..1b5180780 100644 --- a/include/inexor/vulkan-renderer/world/cube.hpp +++ b/include/inexor/vulkan-renderer/world/cube.hpp @@ -2,6 +2,8 @@ #include "inexor/vulkan-renderer/world/indentation.hpp" +#include +#include #include #include @@ -114,6 +116,22 @@ class Cube : public std::enable_shared_from_this { /// Count the number of Type::SOLID and Type::NORMAL cubes. [[nodiscard]] std::size_t count_geometry_cubes() const noexcept; + [[nodiscard]] glm::vec3 center() const noexcept { + return m_position + 0.5f * m_size; + } + + [[nodiscard]] glm::vec3 position() const noexcept { + return m_position; + } + + [[nodiscard]] std::array bounding_box() const { + return {m_position, {m_position.x + m_size, m_position.y + m_size, m_position.z + m_size}}; + } + + [[nodiscard]] float size() const noexcept { + return m_size; + } + /// Set a new type. void set_type(Type new_type); /// Get type. diff --git a/src/CMakeLists.txt b/src/CMakeLists.txt index 3f22db5f4..2ec73a92b 100644 --- a/src/CMakeLists.txt +++ b/src/CMakeLists.txt @@ -46,6 +46,8 @@ set(INEXOR_SOURCE_FILES vulkan-renderer/wrapper/window.cpp vulkan-renderer/wrapper/window_surface.cpp + vulkan-renderer/world/collision.cpp + vulkan-renderer/world/collision_query.cpp vulkan-renderer/world/cube.cpp vulkan-renderer/world/indentation.cpp) diff --git a/src/vulkan-renderer/application.cpp b/src/vulkan-renderer/application.cpp index 1c441cd4f..0b6a863d5 100644 --- a/src/vulkan-renderer/application.cpp +++ b/src/vulkan-renderer/application.cpp @@ -3,6 +3,7 @@ #include "inexor/vulkan-renderer/exception.hpp" #include "inexor/vulkan-renderer/standard_ubo.hpp" #include "inexor/vulkan-renderer/tools/cla_parser.hpp" +#include "inexor/vulkan-renderer/world/collision.hpp" #include "inexor/vulkan-renderer/world/cube.hpp" #include "inexor/vulkan-renderer/wrapper/cpu_texture.hpp" #include "inexor/vulkan-renderer/wrapper/descriptor_builder.hpp" @@ -188,23 +189,32 @@ void Application::load_shaders() { void Application::load_octree_geometry() { spdlog::debug("Creating octree geometry."); - std::shared_ptr cube = std::make_shared(2.0f, glm::vec3{0, -1, -1}); - cube->set_type(world::Cube::Type::OCTANT); - - cube->children()[3]->set_type(world::Cube::Type::EMPTY); - cube->children()[5]->set_type(world::Cube::Type::EMPTY); - cube->children()[6]->set_type(world::Cube::Type::EMPTY); - cube->children()[7]->set_type(world::Cube::Type::EMPTY); - - for (const auto &polygons : cube->polygons(true)) { - for (const auto &triangle : *polygons) { - for (const auto &vertex : triangle) { - glm::vec3 color = { - static_cast(rand()) / static_cast(RAND_MAX), - static_cast(rand()) / static_cast(RAND_MAX), - static_cast(rand()) / static_cast(RAND_MAX), - }; - m_octree_vertices.emplace_back(vertex, color); + m_worlds.reserve(3); + + m_worlds.emplace_back(std::make_shared(5.0f, glm::vec3{10, 0, 0})); + m_worlds.emplace_back(std::make_shared(1.0f, glm::vec3{0, 0, 0})); + m_worlds.emplace_back(std::make_shared(1.6f, glm::vec3{0, 10, 0})); + + m_worlds[0]->set_type(world::Cube::Type::OCTANT); + m_worlds[1]->set_type(world::Cube::Type::SOLID); + m_worlds[2]->set_type(world::Cube::Type::OCTANT); + + m_worlds[0]->children()[3]->set_type(world::Cube::Type::EMPTY); + m_worlds[0]->children()[5]->set_type(world::Cube::Type::EMPTY); + m_worlds[0]->children()[6]->set_type(world::Cube::Type::EMPTY); + m_worlds[0]->children()[7]->set_type(world::Cube::Type::EMPTY); + + for (const auto &world : m_worlds) { + for (const auto &polygons : world->polygons(true)) { + for (const auto &triangle : *polygons) { + for (const auto &vertex : triangle) { + glm::vec3 color = { + static_cast(rand()) / static_cast(RAND_MAX), + static_cast(rand()) / static_cast(RAND_MAX), + static_cast(rand()) / static_cast(RAND_MAX), + }; + m_octree_vertices.emplace_back(vertex, color); + } } } } @@ -566,6 +576,27 @@ void Application::process_mouse_input() { m_camera->set_movement_state(CameraMovement::RIGHT, m_input_data->is_key_pressed(GLFW_KEY_D)); } +void Application::check_octree_collisions() { + // Check for collision between camera ray and every octree + for (const auto &world : m_worlds) { + const auto collision = ray_cube_collision_check(*world, m_camera->position(), m_camera->front()); + + if (collision) { + const auto intersection = collision.value().intersection(); + const auto face_normal = collision.value().face(); + const auto corner = collision.value().corner(); + const auto edge = collision.value().edge(); + + spdlog::trace("pos {} {} {} | face {} {} {} | corner {} {} {} | edge {} {} {}", intersection.x, + intersection.y, intersection.z, face_normal.x, face_normal.y, face_normal.z, corner.x, + corner.y, corner.z, edge.x, edge.y, edge.z); + + // Break after one collision. + break; + } + } +} + void Application::run() { spdlog::debug("Running Application."); @@ -577,6 +608,7 @@ void Application::run() { process_mouse_input(); m_camera->update(m_time_passed); m_time_passed = m_stopwatch.time_step(); + check_octree_collisions(); } } diff --git a/src/vulkan-renderer/renderer.cpp b/src/vulkan-renderer/renderer.cpp index 2656b7362..0e2987a5f 100644 --- a/src/vulkan-renderer/renderer.cpp +++ b/src/vulkan-renderer/renderer.cpp @@ -86,9 +86,12 @@ void VulkanRenderer::recreate_swapchain() { m_image_available_semaphore = std::make_unique(*m_device, "Image available semaphore"); m_rendering_finished_semaphore = std::make_unique(*m_device, "Rendering finished semaphore"); - m_camera = std::make_unique(glm::vec3(3.0f, 2.0f, 1.0f), 230.0f, -20.0f, + m_camera = std::make_unique(glm::vec3(5.0f, 5.0f, 10.0f), 250.0f, 0.0f, static_cast(m_window->width()), static_cast(m_window->height())); + m_camera->set_movement_speed(5.0f); + m_camera->set_rotation_speed(0.5f); + m_imgui_overlay.reset(); m_imgui_overlay = std::make_unique(*m_device, *m_swapchain); } diff --git a/src/vulkan-renderer/world/collision.cpp b/src/vulkan-renderer/world/collision.cpp new file mode 100644 index 000000000..89f17616d --- /dev/null +++ b/src/vulkan-renderer/world/collision.cpp @@ -0,0 +1,183 @@ +#include + +#include + +#include +#include + +#include +#include +#include +#include + +namespace inexor::vulkan_renderer::world { + +template +RayCubeCollision::RayCubeCollision(RayCubeCollision &&other) noexcept : m_cube{other.m_cube} { + m_intersection = other.m_intersection; + m_selected_face = other.m_selected_face; + m_nearest_corner = other.m_nearest_corner; + m_nearest_edge = other.m_nearest_edge; +} + +template +RayCubeCollision::RayCubeCollision(const T &cube, const glm::vec3 ray_pos, const glm::vec3 ray_dir) : m_cube(cube) { + + // This lambda adjusts the center points on a cube's face to the size of the octree, + // so collision works with cubes of any size. This does not yet account for rotations! + const auto adjust_coordinates = [=](const glm::vec3 pos) { + // TODO: Take rotation of the cube into account. + return m_cube.center() + pos * (m_cube.size() / 2); + }; + + // x: left/right, y: front/back, z: top/bottom. + static constexpr std::array BBOX_DIRECTIONS{ + glm::vec3(-1.0f, 0.0f, 0.0f), // left + glm::vec3(1.0f, 0.0f, 0.0f), // right + glm::vec3(0.0f, -1.0f, 0.0f), // front + glm::vec3(0.0f, 1.0f, 0.0f), // back + glm::vec3(0.0f, 0.0f, 1.0f), // top + glm::vec3(0.0f, 0.0f, -1.0f) // bottom + }; + + // The coordinates of the center of every face of the cube. + const std::array bbox_face_centers{adjust_coordinates(BBOX_DIRECTIONS[0]), // left + adjust_coordinates(BBOX_DIRECTIONS[1]), // right + adjust_coordinates(BBOX_DIRECTIONS[2]), // front + adjust_coordinates(BBOX_DIRECTIONS[3]), // back + adjust_coordinates(BBOX_DIRECTIONS[4]), // top + adjust_coordinates(BBOX_DIRECTIONS[5])}; // bottom + + const std::array bbox_corners{adjust_coordinates({-1.0f, -1.0f, -1.0f}), // left front bottom + adjust_coordinates({-1.0f, -1.0f, 1.0f}), // left front top + adjust_coordinates({-1.0f, 1.0f, -1.0f}), // left back bottom + adjust_coordinates({-1.0f, 1.0f, 1.0f}), // left back top + adjust_coordinates({1.0f, -1.0f, -1.0f}), // right front bottom + adjust_coordinates({1.0f, -1.0f, 1.0f}), // right front top + adjust_coordinates({1.0f, 1.0f, 1.0f}), // right back bottom + adjust_coordinates({1.0f, 1.0f, -1.0f})}; // right back top + + using bbox_corner_on_face_index = std::array; + + // These indices specify which 4 points describe the corners on the given face. + static constexpr std::array BBOX_CORNERS_ON_FACE_INDICES{ + bbox_corner_on_face_index{0, 1, 2, 3}, // left + bbox_corner_on_face_index{4, 5, 6, 7}, // right + bbox_corner_on_face_index{0, 1, 4, 5}, // front + bbox_corner_on_face_index{2, 3, 6, 7}, // back + bbox_corner_on_face_index{1, 3, 5, 7}, // top + bbox_corner_on_face_index{0, 2, 4, 6} // bottom + }; + + // The coordinates of the center of every edge of the cube. + const std::array bbox_edges{adjust_coordinates({-1.0f, 0.0f, 1.0f}), // left top + adjust_coordinates({-1.0f, 1.0f, 0.0f}), // left front + adjust_coordinates({-1.0f, 0.0f, -1.0f}), // left bottom + adjust_coordinates({-1.0f, -1.0f, 0.0f}), // left back + adjust_coordinates({1.0f, 0.0f, 1.0f}), // right top + adjust_coordinates({1.0f, 1.0f, 0.0f}), // right front + adjust_coordinates({1.0f, 0.0f, -1.0f}), // right bottom + adjust_coordinates({1.0f, -1.0f, 0.0f}), // right back + adjust_coordinates({0.0f, -1.0f, -1.0f}), // middle bottom front + adjust_coordinates({0.0f, 1.0f, -1.0f}), // middle bottom back + adjust_coordinates({0.0f, -1.0f, 1.0f}), // middle top front + adjust_coordinates({0.0f, 1.0f, 1.0f})}; // middle top back + + using edge_on_face_index = std::array; + + // These indices specify which 4 edges are associated with a given face of the bounding box. + static constexpr std::array BBOX_EDGE_ON_FACE_INDICES{ + edge_on_face_index{0, 1, 2, 3}, // left + edge_on_face_index{4, 5, 6, 7}, // right + edge_on_face_index{1, 5, 8, 11}, // front + edge_on_face_index{3, 7, 9, 11}, // back + edge_on_face_index{0, 4, 10, 11}, // top + edge_on_face_index{2, 6, 8, 9} // bottom + }; + + /// @brief Determine the intersection point between a ray and a plane. + /// @note This function is not available in glm. + /// @param plane_pos The position of the plane. + /// @param plane_norm The normal vector of the plane. + /// @param ray_pos Point a on the ray. + /// @param ray_dir Point b on the ray. + const auto ray_plane_intersection_point = [&](const glm::vec3 &plane_pos, const glm::vec3 &plane_norm, + const glm::vec3 &ray_pos, const glm::vec3 &ray_dir) { + return ray_pos - ray_dir * (glm::dot((ray_pos - plane_pos), plane_norm) / glm::dot(ray_dir, plane_norm)); + }; + + /// @brief As soon as we determined which face is selected and we calculated the intersection point between the + /// ray and the face plane, we need to determine the nearest corner in that face and the nearest edge on that + /// face. In order to determine the nearest corner on a selected face for example, we would iterate through all + /// corners on the selected face and calculate the distance between the intersection point and the corner's + /// coordinates. The corner which is closest to the intersection point is the selected corner. + /// However, we should not use ``glm::distance`` for this, because it performs a ``sqrt`` calculation on the + /// vector coordinates. This is not necessary in this case, as we are not interested in the exact distance but + /// rather in a value which allows us to determine the nearest corner. This means we can use the squared + /// distance, which allows us to avoid the costly call of ``sqrt``. + /// @param pos1 The first point. + /// @param pos2 The second point. + const auto square_of_distance = [&](const std::array &points) { + return glm::distance2(points[0], points[1]); + }; + + float shortest_squared_distance{std::numeric_limits::max()}; + float squared_distance{std::numeric_limits::max()}; + + // The index of the array which contains the coordinates of the face centers of the cube's bounding box. + std::size_t selected_face_index{0}; + + // Loop though all faces of the cube and check for collision between ray and face plane. + for (std::size_t i = 0; i < 6; i++) { + + // Check if the cube side is facing the camera: if the dot product of the two vectors is smaller than + // zero, the corresponding angle is smaller than 90 degrees, so the side is facing the camera. Check the + // references page for a detailed explanation of this formula. + if (glm::dot(BBOX_DIRECTIONS[i], ray_dir) < 0.0f) { + + const auto intersection = + ray_plane_intersection_point(bbox_face_centers[i], BBOX_DIRECTIONS[i], ray_pos, ray_dir); + + squared_distance = square_of_distance({m_cube.center(), intersection}); + + if (squared_distance < shortest_squared_distance) { + selected_face_index = i; + shortest_squared_distance = squared_distance; + m_intersection = intersection; + m_selected_face = bbox_face_centers[i]; + } + } + } + + // Reset value to maximum for the search of the closest corner. + shortest_squared_distance = std::numeric_limits::max(); + + // Loop through all corners of this face and check for the nearest one. + for (const auto corner_index : BBOX_CORNERS_ON_FACE_INDICES[selected_face_index]) { + squared_distance = square_of_distance({bbox_corners[corner_index], m_intersection}); + + if (squared_distance < shortest_squared_distance) { + shortest_squared_distance = squared_distance; + m_nearest_corner = bbox_corners[corner_index]; + } + } + + // Reset value to maximum for the search of the closest edge. + shortest_squared_distance = std::numeric_limits::max(); + + // Iterate through all edges on this face and select the nearest one. + for (const auto edge_index : BBOX_EDGE_ON_FACE_INDICES[selected_face_index]) { + + squared_distance = square_of_distance({bbox_edges[edge_index], m_intersection}); + + if (squared_distance < shortest_squared_distance) { + shortest_squared_distance = squared_distance; + m_nearest_edge = bbox_edges[edge_index]; + } + } +} + +// Explicit instantiation +template RayCubeCollision::RayCubeCollision(const Cube &, const glm::vec3, const glm::vec3); + +} // namespace inexor::vulkan_renderer::world diff --git a/src/vulkan-renderer/world/collision_query.cpp b/src/vulkan-renderer/world/collision_query.cpp new file mode 100644 index 000000000..ecc0b87a0 --- /dev/null +++ b/src/vulkan-renderer/world/collision_query.cpp @@ -0,0 +1,132 @@ +#include "inexor/vulkan-renderer/world/collision_query.hpp" + +#include + +#include +#include + +namespace inexor::vulkan_renderer::world { + +bool ray_box_collision(const std::array &box_bounds, const glm::vec3 &position, + const glm::vec3 &direction) { + glm::vec3 inverse_dir{1 / direction.x, 1 / direction.y, 1 / direction.z}; + std::array sign{static_cast(inverse_dir.x < 0), + static_cast(inverse_dir.y < 0), + static_cast(inverse_dir.z < 0)}; + + float tmin{(box_bounds[sign[0]].x - position.x) * inverse_dir.x}; + float tmax{(box_bounds[1 - sign[0]].x - position.x) * inverse_dir.x}; + float tymin{(box_bounds[sign[1]].y - position.y) * inverse_dir.y}; + float tymax{(box_bounds[1 - sign[1]].y - position.y) * inverse_dir.y}; + + if ((tmin > tymax) || (tymin > tmax)) { + return false; + } + if (tymin > tmin) { + tmin = tymin; + } + if (tymax < tmax) { + tmax = tymax; + } + + float tzmin{(box_bounds[sign[2]].z - position.z) * inverse_dir.z}; + float tzmax{(box_bounds[1 - sign[2]].z - position.z) * inverse_dir.z}; + + return !((tmin > tzmax) || (tzmin > tmax)); +} + +std::optional> ray_cube_collision_check(const Cube &cube, const glm::vec3 pos, + const glm::vec3 dir, + const std::optional max_depth) { + // If the cube is empty, a collision with a ray is not possible, + // and there are no sub cubes to check for collision either. + if (cube.type() == Cube::Type::EMPTY) { + // No collision found. + return std::nullopt; + } + + // We need to pass this into glm::intersectRaySphere by reference, + // although we are not interested into it. + auto intersection_distance{0.0f}; + + const auto bounding_sphere_radius = static_cast(glm::sqrt(3) * cube.size()) / 2.0f; + + const auto sphere_radius_squared = static_cast(std::pow(bounding_sphere_radius, 2)); + + // First, check if ray collides with bounding sphere. + // This is much easier to calculate than a collision with a bounding box. + if (!glm::intersectRaySphere(pos, dir, cube.center(), sphere_radius_squared, intersection_distance)) { + // No collision found. + return std::nullopt; + } + + // Second, check if ray collides with bounding box. + // This again is also much faster than to check for collision with every one of the 8 sub cubes. + // TODO: This is an axis aligned bounding box! Alignment must account for rotation in the future! + if (!ray_box_collision(cube.bounding_box(), pos, dir)) { + // No collision found. + return std::nullopt; + } + + if (cube.type() != Cube::Type::SOLID) { + std::size_t hit_candidate_count{0}; + std::size_t collision_subcube_index{0}; + float m_nearest_square_distance = std::numeric_limits::max(); + auto subcubes = cube.children(); + + if (max_depth.has_value()) { + // Check if the maximum depth is reached. + if (max_depth.value() == 0) { + // If the maximum depth is reached but the cube is empty, no collision was found. + if (cube.type() == Cube::Type::EMPTY) { + return std::nullopt; + } + + // The current cube is of type OCTANT but not of type SOLID, but since we reached the maximum depth of + // iteration, we treat it as type SOLID. + return std::make_optional>(cube, pos, dir); + } + } + + // Iterate through all sub cubes and check for collision. + for (std::int32_t i = 0; i < 8; i++) { + if (subcubes[i]->type() != Cube::Type::EMPTY) { + const std::optional next_depth = + max_depth.has_value() ? std::make_optional(max_depth.value() - 1) : std::nullopt; + + // No value for maximum depth given. Continue iterating until you find a leaf node of type SOLID. + if (ray_cube_collision_check(*subcubes[i], pos, dir, next_depth)) { + hit_candidate_count++; + + // If a ray collides with an octant, it can collide with multiple child cubes as it goes + // through it. We need to find the cube which is nearest to the camera and also in front of + // the camera. + const auto squared_distance = glm::distance2(subcubes[i]->center(), pos); + + if (squared_distance < m_nearest_square_distance) { + collision_subcube_index = i; + m_nearest_square_distance = squared_distance; + } + } + } + + // If a ray goes through a cube of 8 subcubes, no more than 4 collisions can take place. + if (hit_candidate_count == 4) { + break; + } + } + + if (hit_candidate_count > 0) { + return std::make_optional>(*subcubes[collision_subcube_index], pos, dir); + } + } else if (cube.type() == Cube::Type::SOLID) { + // We found a leaf collision. Now we need to determine the selected face, + // nearest corner to intersection point and nearest edge to intersection point. + return std::make_optional>(cube, pos, dir); + } + + // No collision found. + return std::nullopt; +} + +} // namespace inexor::vulkan_renderer::world From 364c6fed22d037f9b11d9c410ace02ec0b051e49 Mon Sep 17 00:00:00 2001 From: Johannes Schneider Date: Thu, 6 May 2021 21:54:11 +0200 Subject: [PATCH 2/5] [tests] Added Google Tests for octree collision --- tests/CMakeLists.txt | 8 +++++++- tests/unit_tests_main.cpp | 2 +- tests/world/cube_collision.cpp | 31 +++++++++++++++++++++++++++++++ 3 files changed, 39 insertions(+), 2 deletions(-) create mode 100644 tests/world/cube_collision.cpp diff --git a/tests/CMakeLists.txt b/tests/CMakeLists.txt index 2432687f2..d9b7cbeed 100644 --- a/tests/CMakeLists.txt +++ b/tests/CMakeLists.txt @@ -1,4 +1,10 @@ -add_executable(inexor-vulkan-renderer-tests unit_tests_main.cpp) +set(INEXOR_UNIT_TEST_SOURCE_FILES + unit_tests_main.cpp + + world/cube_collision.cpp +) + +add_executable(inexor-vulkan-renderer-tests ${INEXOR_UNIT_TEST_SOURCE_FILES}) set_target_properties( inexor-vulkan-renderer-tests PROPERTIES diff --git a/tests/unit_tests_main.cpp b/tests/unit_tests_main.cpp index 974039181..4832a67e9 100644 --- a/tests/unit_tests_main.cpp +++ b/tests/unit_tests_main.cpp @@ -4,6 +4,6 @@ int main(int argc, char **argv) { testing::InitGoogleTest(&argc, argv); - RUN_ALL_TESTS(); + std::cout << "RUN_ALL_TESTS() returned: " << RUN_ALL_TESTS() << std::endl; std::cin.get(); } diff --git a/tests/world/cube_collision.cpp b/tests/world/cube_collision.cpp new file mode 100644 index 000000000..ce319d676 --- /dev/null +++ b/tests/world/cube_collision.cpp @@ -0,0 +1,31 @@ +#include + +#include +#include + +namespace inexor::vulkan_renderer { + +TEST(CubeCollision, CollisionCheck) { + const glm::vec3 world_pos{0, 0, 0}; + world::Cube world(1.0f, world_pos); + world.set_type(world::Cube::Type::SOLID); + + glm::vec3 cam_pos{0.0f, 0.0f, 10.0f}; + glm::vec3 cam_direction{0.0f, 0.0f, 0.0f}; + + auto collision1 = ray_cube_collision_check(world, cam_pos, cam_direction); + bool collision_found = collision1.has_value(); + + // There must be no collision for this data setup. + EXPECT_FALSE(collision_found); + + cam_direction = {0.0f, 0.0f, -1.0f}; + + auto collision2 = ray_cube_collision_check(world, cam_pos, cam_direction); + collision_found = collision2.has_value(); + + // Since we are now directly looking down on the cube, we collide with it. + EXPECT_TRUE(collision_found); +} + +} // namespace inexor::vulkan_renderer From a3f70fb09c90128dbadad767d6f364ccd50a44ad Mon Sep 17 00:00:00 2001 From: Johannes Schneider Date: Thu, 6 May 2021 22:31:02 +0200 Subject: [PATCH 3/5] [benchmarks] Added Google Benchmarks for octree collision --- benchmarks/CMakeLists.txt | 8 +++++++- benchmarks/world/cube_collision.cpp | 23 +++++++++++++++++++++++ conanfile.py | 2 +- 3 files changed, 31 insertions(+), 2 deletions(-) create mode 100644 benchmarks/world/cube_collision.cpp diff --git a/benchmarks/CMakeLists.txt b/benchmarks/CMakeLists.txt index 434b77aae..26c51ba28 100644 --- a/benchmarks/CMakeLists.txt +++ b/benchmarks/CMakeLists.txt @@ -1,4 +1,10 @@ -add_executable(inexor-vulkan-renderer-benchmarks engine_benchmark_main.cpp) +set(INEXOR_BENCHMARKING_SOURCE_FILES + engine_benchmark_main.cpp + + world/cube_collision.cpp +) + +add_executable(inexor-vulkan-renderer-benchmarks ${INEXOR_BENCHMARKING_SOURCE_FILES}) set_target_properties( inexor-vulkan-renderer-benchmarks PROPERTIES diff --git a/benchmarks/world/cube_collision.cpp b/benchmarks/world/cube_collision.cpp new file mode 100644 index 000000000..1398968b2 --- /dev/null +++ b/benchmarks/world/cube_collision.cpp @@ -0,0 +1,23 @@ +#include + +#include +#include + +namespace inexor::vulkan_renderer { + +void CubeCollision(benchmark::State &state) { + for (auto _ : state) { + const glm::vec3 world_pos{0, 0, 0}; + world::Cube world(1.0f, world_pos); + world.set_type(world::Cube::Type::SOLID); + + glm::vec3 cam_pos{0.0f, 0.0f, 10.0f}; + glm::vec3 cam_direction{0.0f, 0.0f, -1.0f}; + + benchmark::DoNotOptimize(ray_cube_collision_check(world, cam_pos, cam_direction)); + } +} + +BENCHMARK(CubeCollision); + +}; // namespace inexor::vulkan_renderer diff --git a/conanfile.py b/conanfile.py index cbd3db584..ca80b92c2 100644 --- a/conanfile.py +++ b/conanfile.py @@ -41,7 +41,7 @@ def configure(self): def requirements(self): if self.options.build_benchmarks: - self.requires("benchmark/1.5.0") + self.requires("benchmark/1.5.2") if self.options.build_tests: self.requires("gtest/1.10.0") From da9bc3a0910e5afa9a056637666090a400b3a74f Mon Sep 17 00:00:00 2001 From: Johannes Date: Sat, 17 Apr 2021 16:05:47 +0200 Subject: [PATCH 4/5] [doc] Improve build instructions for Windows --- documentation/source/development/building.rst | 15 +++++++++++++-- 1 file changed, 13 insertions(+), 2 deletions(-) diff --git a/documentation/source/development/building.rst b/documentation/source/development/building.rst index 5c8e32f20..08f7d7da2 100644 --- a/documentation/source/development/building.rst +++ b/documentation/source/development/building.rst @@ -71,8 +71,19 @@ The following CMake targets and options are available: Windows ^^^^^^^ -.. note:: - When building a VS solution add ``--config Debug/Release`` to define the build type. +Example: Create Visual Studio 2019 project map for Debug mode including docs, tests, and benchmarks: + +.. code-block:: shell + + cmake -G "Visual Studio 16 2019" -A x64 -B./cmake-build-debug-vs/ -DCMAKE_BUILD_TYPE=Debug -DINEXOR_BUILD_DOC=ON -DINEXOR_BUILD_TESTS=ON -DINEXOR_BUILD_BENCHMARKS=ON ./ + +Example: Create Visual Studio 2019 project map for Release mode but without docs, tests, and benchmarks: + +.. code-block:: shell + + cmake -G "Visual Studio 16 2019" -A x64 -B./cmake-build-release-vs/ -DCMAKE_BUILD_TYPE=Release ./ + +If you have `Ninja build system `__ installed, you can use it like this: .. code-block:: doscon From a8ce3f7bced186f17c99f4d4de82f927c69a1f39 Mon Sep 17 00:00:00 2001 From: Johannes Date: Sun, 18 Apr 2021 04:43:18 +0200 Subject: [PATCH 5/5] [doc] Added reference page about octree collision --- .../source/development/reference/main.rst | 1 + .../reference/octree-collision.rst | 187 ++++++++++++++++++ .../reference/octree-file-format.rst | 28 +++ ...ollision_boundin_sphere_false_positive.jpg | Bin 0 -> 96202 bytes .../octree_collision_camera_view_blocked.jpg | Bin 0 -> 112007 bytes .../reference/octree_collision_cases.jpg | Bin 0 -> 101109 bytes .../octree_collision_cube_facing_camera.jpg | Bin 0 -> 91137 bytes .../reference/octree_collision_filled.jpg | Bin 0 -> 81750 bytes .../octree_collision_multiple_octrees.jpg | Bin 0 -> 85264 bytes .../octree_collision_nearest_corner.jpg | Bin 0 -> 121019 bytes .../reference/octree_collision_octant.jpg | Bin 0 -> 134224 bytes ...octree_collision_only_front_collisions.jpg | Bin 0 -> 111433 bytes .../reference/octree_collision_real_face.jpg | Bin 0 -> 190007 bytes .../reference/octree_collision_sizes.jpg | Bin 0 -> 126511 bytes 14 files changed, 216 insertions(+) create mode 100644 documentation/source/development/reference/octree-collision.rst create mode 100644 documentation/source/development/reference/octree_collision_boundin_sphere_false_positive.jpg create mode 100644 documentation/source/development/reference/octree_collision_camera_view_blocked.jpg create mode 100644 documentation/source/development/reference/octree_collision_cases.jpg create mode 100644 documentation/source/development/reference/octree_collision_cube_facing_camera.jpg create mode 100644 documentation/source/development/reference/octree_collision_filled.jpg create mode 100644 documentation/source/development/reference/octree_collision_multiple_octrees.jpg create mode 100644 documentation/source/development/reference/octree_collision_nearest_corner.jpg create mode 100644 documentation/source/development/reference/octree_collision_octant.jpg create mode 100644 documentation/source/development/reference/octree_collision_only_front_collisions.jpg create mode 100644 documentation/source/development/reference/octree_collision_real_face.jpg create mode 100644 documentation/source/development/reference/octree_collision_sizes.jpg diff --git a/documentation/source/development/reference/main.rst b/documentation/source/development/reference/main.rst index 2a58f6bfe..178ce2a43 100644 --- a/documentation/source/development/reference/main.rst +++ b/documentation/source/development/reference/main.rst @@ -9,3 +9,4 @@ Reference binary-format-specification keyboard-mouse-input octree-file-format + octree-collision diff --git a/documentation/source/development/reference/octree-collision.rst b/documentation/source/development/reference/octree-collision.rst new file mode 100644 index 000000000..d5424a319 --- /dev/null +++ b/documentation/source/development/reference/octree-collision.rst @@ -0,0 +1,187 @@ +Multi octree collision detection +================================ + +Octree collision detection allows us to find intersections between octree geometry and a ray, for example the camera view ray. This is an essential part for the octree editor. Inexor engine allows to have multiple octrees with arbitrary position and relative size (no support for rotations yet), making collision detection significantly more complex than single octree traversal: + +.. image:: octree_collision_sizes.jpg + :width: 500 + :alt: Multiple octrees with different relative size. + +In the following screenshot, you can see three octrees of different types and different sizes. The octree in the left has 8 sub-cubes (we call a cube which has 8 children ``Cube::Type::OCTANT`` in the engine, even if some of them are empty). The one octree in the midle has no children, it's just one solid cube (we call it ``Cube::Type::SOLID``). The one in the right has some empty and some solid sub-cubes in it (that's also an ``Cube::Type::OCTANT``). You can see that these cubes are not indented at all, because indentation is not taken into account yet for octree collision. [#f1]_ + +.. image:: octree_collision_multiple_octrees.jpg + :width: 500 + :alt: Multiple octrees with different relative size. + +How to find collisions between octree geometry and a ray in this scene now? For simplicity, we assume that the octrees are not intersecting each other. Let's assume we want to write an octree editor. We are obviously only interested in the intersection which is closest to the camera's position: if there is another octree behind the current selection, we must move the camera to it, in order to be able to edit it: [#f2]_ + +.. image:: octree_collision_camera_view_blocked.jpg + :width: 500 + :alt: We are interested in the collision closest to the camera position. + +We are also only interested in collisions which are in front of our camera view: + +.. image:: octree_collision_only_front_collisions.jpg + :width: 500 + :alt: We are interested in the collision in front of the camera. + +Let's imagine we now have :math:`N` octrees, and we want to find all those which collide with the ray and we want to know the one which is closest to the camera. Furthermore, since we want to write an octree editor, we want not only the cube which is in selection, but we also want to know which one of the 6 faces of the cube is in selection. In addition, we want to know the coordinates or the intersection between camera ray and the plane of the selected face. We also need the closest corner on the selected face and the closest edge, just so we have all the data we could possibly need for implementing the editor. This leaves us the following questions: + +- How do we even determine if there are any collisions occuring at all? +- How do we now find out which of the :math:`N` octrees is in selection? +- How do we determine the octree which is closest to our camera's position? + +Finding the octree closest to the camera +---------------------------------------- + +Assuming we have :math:`N` octrees, the first thing we do is to iterate through every one of the :math:`N` octrees and to check for collision of the camera ray with the bounding sphere of the octree. This is a quick way to optimize the collision in the beginning and to save a lot of computation time. It is a common trick in computer graphics. If we would check for every possible collision without this step, the algorithm would be way too slow. So we need to iterate through the :math:`N` octrees we have and calculate the distance :math:`d` between the ray and the center of the octree's bounding sphere. In our engine, the center of the octree is also the center of the bounding sphere. We are using `glm::intersectRaySphere `__ to check if a collision is happening. If the bounding sphere check was successful, we also check collision of the ray with the `axis aligned bounding box (aabb) `__. This check is more expensive but also more precise than the bounding sphere check. However it is only used if the bounding sphere check previously was successful to save performance. + +.. note:: + Simply iterating through all :math:`N` octrees is a naive approach. This only works for small number of octrees. Much better would be to use a hierarchical data structure like a `bounding volume hierarchy `__, which groups objects which are close to each other into a unified bounding sphere. This hierarchical bounding sphere check is much faster than iterating through all :math:`N` octrees. There are libraries which could help implement this for Inexor in the future. + +.. note:: + Currently we use the entire octree as axis `axis aligned bounding box (aabb) `__. However, we could optimize this: We could fit the bounding box to only the filled cubes of that octree. For example if one half side of the octree is empty, we could adjust the bounding box to the other half. If a camera ray now collides with the empty part of the octree, this could give us improved performance, as the bounding box is not hit. Otherwise the subcube iteration would be executed and come to the same conclusion: only empty subcubes are hit and therefore no collision takes place. + +After this step, we have :math:`0` to :math:`N` octrees which collide with the ray. The following screenshot shows the possible situations for :math:`N=2`: + +.. image:: octree_collision_cases.jpg + :width: 500 + :alt: Possible collision cases (examples). + +If we have :math:`0` collisions, we can already stop collision detection here because there are no collisions occuring: if a camera ray intersects an octree, it must also intersect the bounding sphere. The reverse statement is not true: if a ray collides with a bounding sphere, that does not mean it collides with the octree. It could be a false positive: + +.. image:: octree_collision_boundin_sphere_false_positive.jpg + :width: 500 + :alt: False positive intersection of a bounding sphere. + +We now need to find the octree which is closest the camera. Even if the camera is inside of an octree, there could be multiple octrees which have bounding spheres that intersect the camera ray. The first thing which comes to our mind is sorting the octrees by distance to the camera: we could calculate the distance :math:`d` between camera's position and bounding sphere's center (= the octree's center) for every one octree which intersects with the camera ray and order them by distance: + +:math:`d = \sqrt{(x_1 - x_2)^2 +(y_1 - y_2)^2 +(z_1 - z_2)^2}` + +The one with the lowest distance will be the one which is closest to the camera. This should be the octree we will perform any further detailed collision checks on. However, there are two things we can already optimize here. + + +The square of the distance +-------------------------- + +First, we do not need to sort the octrees by distance. Sorting would mean we need all of the data sorted by distance. We are only interested in the octree with the smallest distance though. Since we iterate through all of them, we check if the calculated distance :math:`d` between bounding sphere's center and camera position is smaller than the stored value, and if that is the case, store it as the new closest octree. [#f3]_ This is significantly faster than sorting all octrees. We also lose information about the distance to all the other octrees in selection, but that's not important at the moment (at least for the octree editor that is irrelevant for now). As a second optimization, we should not calculate the distance :math:`d` between the bounding sphere's center and the camera's center, as we are not interested in the exact value of the distance. The reason we should avoid this is because distance calculation using `glm::distance `__ makes an expensive `sqrt `__ call, as it needs to calculate the distance like this: + +:math:`d = \sqrt{(x_1 - x_2)^2 +(y_1 - y_2)^2 +(z_1 - z_2)^2}` + +If we take this equation and square both sides, we obtain :math:`{d}^2`, the squared distance: + +:math:`{d}^2 = {(x_1 - x_2)^2+ (y_1 - y_2)^2+ (z_1 - z_2)^2}` + +This way, we **perform no square root calculation**. The squared distance :math:`{d}^2` will serve as our value for determination of the closest octree. Think about it: if the distance :math:`d` is the value which allows us to find the closest octree, the square of the distance :math:`{d}^2` will work as well. If you take :math:`N` octrees, each one having a distance :math:`d` to the camera's position, the order will not change if we square the distance. + +.. note:: + For simplicity, we assume that the octrees have a variable position and size, but are **not intersecting each other**. If that is the case, the determination of the octree which is closest to the camera would be more complicated. For example if there would be two octrees, one being closer to the camera than the other, but the one further away has a bigger size, maybe resulting in faces which are closer to the camera than the other cube. We will implement support for this in the future. + +Finding the leaf node +--------------------- + +Now that we have found the octree which is closest to the camera, we need to find a leaf node in the octree which is being intersected. The most simple case would be if the octree's root is of type ``Cube::Type::SOLID``, as completely filled octrees are leaf nodes by definition: + +.. image:: octree_collision_filled.jpg + :width: 500 + :alt: An octree of type ``Cube::Type::SOLID``. + +If the octree's root is of type ``Cube::Type::OCTANT``, we need to iterate through all 8 sub-cubes. This is described in the next section. + +.. image:: octree_collision_octant.jpg + :width: 500 + :alt: An octree of type ``Cube::Type::OCTANT``. + +Please note that every octant has 8 sub-cubes, even if some (or even all) of them are of type ``Cube::Type::EMPTY``. [#f4]_ + +.. note:: + Technically, the octree's root could also be of type ``Cube::Type::EMPTY``. In this case, there also no collision possible. However, such octrees will be skipped when iterating through all possible sub-cubes which could possibly collide with the ray. + +Subcube iteration +----------------- + +So we found the octree which is closest to the camera, but it's neither completely empty (``Cube::Type::EMPTY``) nor completely filled (``Cube::Type::OCTANT``). We now simply iterate through all 8 sub-cubes and repeat the bounding sphere and axis aligned bounding box collision checks for every subcube. If a subcube is empty, no collision with it is possible and it will be excluded from detailed collision checks. We now need to find the sub-cube which is closest to the camera again. We therefore perform the same search by squared distance as we already did for the octree octrees. We simply calculate the squared distance from the center of the sub-cube to the camera and if the distance is lower than the one which is currently stored, we accept it as new closest sub-cube. Imagine a cube is an octant and it has 8 sub-cubes which are all not empty. If a ray goes through that cube, no more than 4 sub-cubes can be intersected. Therefore we abort the hit collection after 4 hits. Once we determined the sub-cube which is closest to the camera, we recursively perform this algorithm. The iteration depth can be limited in the engine. A common example of this is the grid size of the octree editor. So a leaf node is either found if the current subcube is of type ``Cube::Type::SOLID`` or if the iteration depth has been reached. Once a leaf cube was found, we proceed to calculate the selected face, as described in the following section. + +.. note:: + Every cube of type ``Cube::Type::OCTANT`` has 8 subcubes. Iterating through all subcubes from index :math:`0` to :math:`7` is a naive approach as well. Inexor should use a fast octree traversal algorithm in the future. For more information, check out `this paper `__. Also check out the `hero algorithm `__. + + +Determination of selected face +------------------------------ + +Now that we have found the selected cube, we need to determine on which one of the 6 faces (left, right, top, bottom, front, back) the collision takes place. We are only interested in the intersection which is facing the camera. That is also the intersection which is closer to the camera position. There is also a backside intersection from the outgoing ray, but we are not interested in this for now. There are several ways how to determine which face is in collision. We decided to use the following approach: first we filter out all sides of the cube which are not facing the camera. In order to do so, let's take a look at the following equation which describes the angle :math:`\alpha` of two vectors :math:`\vec{a}` and :math:`\vec{a}`: + +:math:`cos(\alpha) = \frac{\vec{a}\cdot\vec{b}}{|a| \cdot |b|}` + +If we define :math:`\vec{a}` as the normal vector on the face and :math:`\vec{b}` as the camera direction vector, we realize that the normal vector on the cube's face is no longer facing the camera if the angle :math:`\alpha` becomes greater than ``90 degrees``. We now think we should rearrange for the angle: + +:math:`\alpha = cos^{-1}\left(\frac{\vec{a}\cdot\vec{b}}{|a| \cdot |b|}\right)` + +However, we can simplify this: If the angle is slightly greater than ``90 degrees``, the value of :math:`cos(\alpha)` becomes smaller than ``0``. If the angle is a little less than ``90 degrees``, :math:`cos(\alpha)` becomes greater than ``0``. If we take a look at the right side of the equation we started with, we can see that the dot product of :math:`\vec{a}` and :math:`\vec{b}` is in the nominator while the product of the magnitudes is in the denominator. Since the magnitude of a vector is never negative, the product of two magnitudes will always be positive. We now see that the sign change is entirely dictated by the nominator. Furthermore, we already elaborated that it's comparably expensive to calculate the square root. We can simplify all this to the following condition: the face on a cube is visible, if the dot product of the two vectors :math:`\vec{a}` and :math:`\vec{b}` is smaller than zero: + +:math:`\alpha < 0` for :math:`\vec{a}\cdot\vec{b} < 0` + +This is quite nice, because the dot product of :math:`\vec{a}` and :math:`\vec{b}` is a cheap calculation. This is another very popular trick in computer graphics. [#f5]_ + +We now simply iterate through all 6 faces of the cube, take the normal vector on that cube face and check if it's facing the camera. We are only interested in the planes which are facing the camera. [#f6]_ If you look at a cube, no more than 3 sides can be visible at the same time. This means we can stop after we found 3 cube sides which are facing the camera. It could be less than 3 sides though. Imagine you are right on top of a solid cube and your look down on it, only the top side is visible. If you look from a certain position, only 2 sides are visible. + +.. image:: octree_collision_cube_facing_camera.jpg + :width: 500 + :alt: No more than 3 sides of a cube can be seen. It could be less though. + +.. note:: + We could optimize this in the future by doing some coordinate checks of the camera and the octree. For example if the ``x`` and ``y`` coordinates are inside the square of the cube, we could only see top or bottom of the cube. However, since Inexor wants to account for arbitrary rotations around all 3 axis, this is more complex than for unrotated octrees. We think our current solution is sufficiently performant. + +We now have 3 or less sides of the cube facing the camera. We calculate the intersection point between the ray and every plane which represents a cube face. In order to determine the real intersection, we come back to searching the lowest squared distance again. However, it is important to state that we can't use the squared distance to the camera position in this case. We must calculate the squared distance between the intersection point on every plane and the center of the cube's face which is associated to this plane. This way, we find the real intersection point and the selected corner: + +.. image:: octree_collision_real_face.jpg + :width: 500 + :alt: Possible intersections. + +Calculation of closest corner +----------------------------- + +We now successfully determined the selected face and the intersection point. We already know the coordinates of every one of the 4 corners on that face. In order to determine the nearest corner, we come back to calculating the squared distance between the intersection point and every corner point. The corner with the lowest squared distance is the nearest. + +.. image:: octree_collision_nearest_corner.jpg + :width: 500 + :alt: Possible intersections. + +Calculation of closest edge +--------------------------- + +The determination of the closest edge works the same way as the determination of the closest corner: searching the lowest squared distance between intersection point and center of the four edges on the selected face. To find the edges which are associated to the selected size, the following array is used. The indices of edges are the same as in the octree documentation: + +.. code-block:: cpp + + using edge_on_face_index = std::array; + + // These indices specify which 4 edges are associated with a given face of the bounding box. + static constexpr std::array BBOX_EDGE_ON_FACE_INDICES{ + edge_on_face_index{0, 1, 2, 3}, // left + edge_on_face_index{4, 5, 6, 7}, // right + edge_on_face_index{1, 5, 8, 11}, // front + edge_on_face_index{3, 7, 9, 11}, // back + edge_on_face_index{0, 4, 10, 11}, // top + edge_on_face_index{2, 6, 8, 9} // bottom + }; + +Closing remarks +--------------- + +With this algorithm, we have a good starting point writing an octree editor. However, we know that this is not the fastest solution possible. Nevertheless, it is a solution which is easy to understand, easy to improve and easy to optimize for sure. Furthermore, it will be easy to parallelize it. All the aspects which could be improved have been listed on this page. + + +.. rubric:: Footnotes + +.. [#f1] The current implementation of octree-ray intersection only checks for intersections with completely filled cubes and does not take into account indentations of cubes, as this is not required for an octree editor. The bounding box of an octree is always unchanged, even if the octree geometry itself has indentations. Taking into account indentations will be required for physics calculations in the future, for example to check collisions between particles and octree. + +.. [#f2] We could also make the layer which is blocking view invisible for a moment in the future. + +.. [#f3] To do so, we need to set the initial value of the distance to a maximum value. We use ``std::numeric_limits::max()`` + +.. [#f4] This has to do with the way the engine lays out memory for the octree data structure. The engine will allocate memory for the empty sub-cube because it's faster to change the sub-cube's data if it gets modified. However, empty sub-cubes will not result in additional vertex or index data being generated. + +.. [#f5] In fact this is used during the rasterization step in rendering to discard all triangles which are not facing the camera. + +.. [#f6] For some reasons we might be interested in those sides of a cube which are not facing the camera in the future? diff --git a/documentation/source/development/reference/octree-file-format.rst b/documentation/source/development/reference/octree-file-format.rst index 10c651283..13a8f39ef 100644 --- a/documentation/source/development/reference/octree-file-format.rst +++ b/documentation/source/development/reference/octree-file-format.rst @@ -34,6 +34,34 @@ If blocks or corners are ordered, they use this order. 6, "(1, 1, 0)" 7, "(1, 1, 1)" +**Order of Faces** + +The following order of faces is used: + +.. csv-table:: Order of Face + :header: ID, Name, Normal vector + + 0, "left", "(-1, 0, 0)" + 1, "right", "(1, 0, 0)" + 2, "front", "(0, 1, 0)" + 3, "back", "(0, -1, 0)" + 4, "top", "(0, 0, 1)" + 5, "bottom", "(0, 0, -1)" + +**Order of Indices on Face** + +The following corner indices are associated to the faces: + +.. csv-table:: Order of Indices on Face + :header: ID, Indices + + 0, 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