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/*
One-Size-Fits-All Rectangle Vs Rectangle Collisions
"Stupid scanners... making me miss at archery..." - javidx9
License (OLC-3)
~~~~~~~~~~~~~~~
Copyright 2018-2020 OneLoneCoder.com
Redistribution and use in source and binary forms, with or without
modification, are permitted provided that the following conditions
are met:
1. Redistributions or derivations of source code must retain the above
copyright notice, this list of conditions and the following disclaimer.
2. Redistributions or derivative works in binary form must reproduce
the above copyright notice. This list of conditions and the following
disclaimer must be reproduced in the documentation and/or other
materials provided with the distribution.
3. Neither the name of the copyright holder nor the names of its
contributors may be used to endorse or promote products derived
from this software without specific prior written permission.
THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
"AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT
HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT
LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
(INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
Relevant Video: https://www.youtube.com/watch?v=8JJ-4JgR7Dg
Links
~~~~~
YouTube: https://www.youtube.com/javidx9
https://www.youtube.com/javidx9extra
Discord: https://discord.gg/WhwHUMV
Twitter: https://www.twitter.com/javidx9
Twitch: https://www.twitch.tv/javidx9
GitHub: https://www.github.com/onelonecoder
Patreon: https://www.patreon.com/javidx9
Homepage: https://www.onelonecoder.com
Community Blog: https://community.onelonecoder.com
Author
~~~~~~
David Barr, aka javidx9, <EFBFBD>OneLoneCoder 2018, 2019, 2020
*/
#define OLC_PGE_APPLICATION
#include "olcPixelGameEngine.h"
#include <algorithm>
#include <functional>
#undef min
#undef max
namespace olc
{
namespace aabb
{
struct rect
{
olc::vf2d pos;
olc::vf2d size;
olc::vf2d vel;
std::array<olc::aabb::rect*, 4> contact;
};
bool PointVsRect(const olc::vf2d& p, const olc::aabb::rect* r)
{
return (p.x >= r->pos.x && p.y >= r->pos.y && p.x < r->pos.x + r->size.x && p.y < r->pos.y + r->size.y);
}
bool RectVsRect(const olc::aabb::rect* r1, const olc::aabb::rect* r2)
{
return (r1->pos.x < r2->pos.x + r2->size.x && r1->pos.x + r1->size.x > r2->pos.x && r1->pos.y < r2->pos.y + r2->size.y && r1->pos.y + r1->size.y > r2->pos.y);
}
bool RayVsRect(const olc::vf2d& ray_origin, const olc::vf2d& ray_dir, const rect* target, olc::vf2d& contact_point, olc::vf2d& contact_normal, float& t_hit_near)
{
contact_normal = { 0,0 };
contact_point = { 0,0 };
// Cache division
olc::vf2d invdir = 1.0f / ray_dir;
// Calculate intersections with rectangle bounding axes
olc::vf2d t_near = (target->pos - ray_origin) * invdir;
olc::vf2d t_far = (target->pos + target->size - ray_origin) * invdir;
if (std::isnan(t_far.y) || std::isnan(t_far.x)) return false;
if (std::isnan(t_near.y) || std::isnan(t_near.x)) return false;
// Sort distances
if (t_near.x > t_far.x) std::swap(t_near.x, t_far.x);
if (t_near.y > t_far.y) std::swap(t_near.y, t_far.y);
// Early rejection
if (t_near.x > t_far.y || t_near.y > t_far.x) return false;
// Closest 'time' will be the first contact
t_hit_near = std::max(t_near.x, t_near.y);
// Furthest 'time' is contact on opposite side of target
float t_hit_far = std::min(t_far.x, t_far.y);
// Reject if ray direction is pointing away from object
if (t_hit_far < 0)
return false;
// Contact point of collision from parametric line equation
contact_point = ray_origin + t_hit_near * ray_dir;
if (t_near.x > t_near.y)
if (invdir.x < 0)
contact_normal = { 1, 0 };
else
contact_normal = { -1, 0 };
else if (t_near.x < t_near.y)
if (invdir.y < 0)
contact_normal = { 0, 1 };
else
contact_normal = { 0, -1 };
// Note if t_near == t_far, collision is principly in a diagonal
// so pointless to resolve. By returning a CN={0,0} even though its
// considered a hit, the resolver wont change anything.
return true;
}
bool DynamicRectVsRect(const olc::aabb::rect* r_dynamic, const float fTimeStep, const olc::aabb::rect& r_static,
olc::vf2d& contact_point, olc::vf2d& contact_normal, float& contact_time)
{
// Check if dynamic rectangle is actually moving - we assume rectangles are NOT in collision to start
if (r_dynamic->vel.x == 0 && r_dynamic->vel.y == 0)
return false;
// Expand target rectangle by source dimensions
olc::aabb::rect expanded_target;
expanded_target.pos = r_static.pos - r_dynamic->size / 2;
expanded_target.size = r_static.size + r_dynamic->size;
if (RayVsRect(r_dynamic->pos + r_dynamic->size / 2, r_dynamic->vel * fTimeStep, &expanded_target, contact_point, contact_normal, contact_time))
return (contact_time >= 0.0f && contact_time < 1.0f);
else
return false;
}
bool ResolveDynamicRectVsRect(olc::aabb::rect* r_dynamic, const float fTimeStep, olc::aabb::rect* r_static)
{
olc::vf2d contact_point, contact_normal;
float contact_time = 0.0f;
if (DynamicRectVsRect(r_dynamic, fTimeStep, *r_static, contact_point, contact_normal, contact_time))
{
if (contact_normal.y > 0) r_dynamic->contact[0] = r_static; else nullptr;
if (contact_normal.x < 0) r_dynamic->contact[1] = r_static; else nullptr;
if (contact_normal.y < 0) r_dynamic->contact[2] = r_static; else nullptr;
if (contact_normal.x > 0) r_dynamic->contact[3] = r_static; else nullptr;
r_dynamic->vel += contact_normal * olc::vf2d(std::abs(r_dynamic->vel.x), std::abs(r_dynamic->vel.y)) * (1 - contact_time);
return true;
}
return false;
}
}
}
class RectangleCollisions : public olc::PixelGameEngine
{
public:
RectangleCollisions()
{
sAppName = "Rectangles!";
}
std::vector<olc::aabb::rect> vRects;
public:
bool OnUserCreate() override
{
vRects.push_back({ {170.0f, 70.0f}, {10.0f, 40.0f} });
vRects.push_back({ {150.0f, 50.0f}, {20.0f, 20.0f} });
vRects.push_back({ {150.0f, 150.0f}, {75.0f, 20.0f} });
vRects.push_back({ {170.0f, 50.0f}, {20.0f, 20.0f} });
vRects.push_back({ {190.0f, 50.0f}, {20.0f, 20.0f} });
vRects.push_back({ {110.0f, 50.0f}, {20.0f, 20.0f} });
vRects.push_back({ {50.0f, 130.0f}, {20.0f, 20.0f} });
vRects.push_back({ {50.0f, 150.0f}, {20.0f, 20.0f} });
vRects.push_back({ {50.0f, 170.0f}, {20.0f, 20.0f} });
vRects.push_back({ {150.0f, 100.0f}, {10.0f, 1.0f} });
vRects.push_back({ {200.0f, 100.0f}, {20.0f, 60.0f} });
return true;
}
bool OnUserUpdate(float fElapsedTime) override
{
Clear(olc::DARK_BLUE);
olc::vf2d vMouse = { float(GetMouseX()), float(GetMouseY()) };
olc::vf2d vPoint = { 128.0f, 120.0f };
if (GetKey(olc::Key::W).bHeld) vRects[0].vel.y = -100.0f;
if (GetKey(olc::Key::S).bHeld) vRects[0].vel.y = +100.0f;
if (GetKey(olc::Key::A).bHeld) vRects[0].vel.x = -100.0f;
if (GetKey(olc::Key::D).bHeld) vRects[0].vel.x = +100.0f;
if (GetMouse(0).bHeld)
vRects[0].vel += (vMouse - vRects[0].pos).norm() * 100.0f * fElapsedTime;
// Draw all rectangles
for (const auto& r : vRects)
DrawRect(r.pos, r.size, olc::WHITE);
// Sort collisions in order of distance
olc::vf2d cp, cn;
float t = 0, min_t = INFINITY;
std::vector<std::pair<int, float>> z;
// Work out collision point, add it to vector along with rect ID
for (size_t i = 1; i < vRects.size(); i++)
{
if (olc::aabb::DynamicRectVsRect(&vRects[0], fElapsedTime, vRects[i], cp, cn, t))
{
z.push_back({ i, t });
}
}
// Do the sort
std::sort(z.begin(), z.end(), [](const std::pair<int, float>& a, const std::pair<int, float>& b)
{
return a.second < b.second;
});
// Now resolve the collision in correct order
for (auto j : z)
olc::aabb::ResolveDynamicRectVsRect(&vRects[0], fElapsedTime, &vRects[j.first]);
// Embellish the "in contact" rectangles in yellow
for (int i = 0; i < 4; i++)
{
if (vRects[0].contact[i])
DrawRect(vRects[0].contact[i]->pos, vRects[0].contact[i]->size, olc::YELLOW);
vRects[0].contact[i] = nullptr;
}
// UPdate the player rectangles position, with its modified velocity
vRects[0].pos += vRects[0].vel * fElapsedTime;
// Draw players velocity vector
if (vRects[0].vel.mag2() > 0)
DrawLine(vRects[0].pos + vRects[0].size / 2, vRects[0].pos + vRects[0].size / 2 + vRects[0].vel.norm() * 20, olc::RED);
return true;
}
};
int main()
{
RectangleCollisions demo;
if (demo.Construct(256, 240, 4, 4, false, false))
demo.Start();
return 0;
}