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		71d2e38cb5
		
	
	
	
	
		
			
			Implements the Gauss Mapping optimization to SAT convex collision test. * Described [here](https://ubm-twvideo01.s3.amazonaws.com/o1/vault/gdc2013/slides/822403Gregorius_Dirk_TheSeparatingAxisTest.pdf) by Dirk Gregorius. * Requires adding of face information to edges in MeshData * Took the chance to convert MeshData to LocalVector for performance.
		
			
				
	
	
		
			116 lines
		
	
	
	
		
			5.2 KiB
		
	
	
	
		
			C++
		
	
	
	
	
	
			
		
		
	
	
			116 lines
		
	
	
	
		
			5.2 KiB
		
	
	
	
		
			C++
		
	
	
	
	
	
| /*************************************************************************/
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| /*  convex_hull.h                                                        */
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| /*************************************************************************/
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| /*                       This file is part of:                           */
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| /*                           GODOT ENGINE                                */
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| /*                      https://godotengine.org                          */
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| /*************************************************************************/
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| /* Copyright (c) 2007-2022 Juan Linietsky, Ariel Manzur.                 */
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| /* Copyright (c) 2014-2022 Godot Engine contributors (cf. AUTHORS.md).   */
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| /*                                                                       */
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| /* Permission is hereby granted, free of charge, to any person obtaining */
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| /* a copy of this software and associated documentation files (the       */
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| /* "Software"), to deal in the Software without restriction, including   */
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| /* without limitation the rights to use, copy, modify, merge, publish,   */
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| /* distribute, sublicense, and/or sell copies of the Software, and to    */
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| /* permit persons to whom the Software is furnished to do so, subject to */
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| /* the following conditions:                                             */
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| /*                                                                       */
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| /* The above copyright notice and this permission notice shall be        */
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| /* included in all copies or substantial portions of the Software.       */
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| /*                                                                       */
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| /* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,       */
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| /* EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF    */
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| /* MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT.*/
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| /* IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY  */
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| /* CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT,  */
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| /* TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE     */
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| /* SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.                */
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| /*************************************************************************/
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| 
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| #ifndef CONVEX_HULL_H
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| #define CONVEX_HULL_H
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| 
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| /*
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| Copyright (c) 2011 Ole Kniemeyer, MAXON, www.maxon.net
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| This software is provided 'as-is', without any express or implied warranty.
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| In no event will the authors be held liable for any damages arising from the use of this software.
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| Permission is granted to anyone to use this software for any purpose,
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| including commercial applications, and to alter it and redistribute it freely,
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| subject to the following restrictions:
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| 1. The origin of this software must not be misrepresented; you must not claim that you wrote the original software. If you use this software in a product, an acknowledgment in the product documentation would be appreciated but is not required.
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| 2. Altered source versions must be plainly marked as such, and must not be misrepresented as being the original software.
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| 3. This notice may not be removed or altered from any source distribution.
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| */
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| 
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| #include "core/math/geometry_3d.h"
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| #include "core/math/vector3.h"
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| #include "core/templates/local_vector.h"
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| #include "core/templates/vector.h"
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| 
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| /// Convex hull implementation based on Preparata and Hong
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| /// See https://code.google.com/archive/p/bullet/issues/275
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| /// Ole Kniemeyer, MAXON Computer GmbH
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| class ConvexHullComputer {
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| public:
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| 	class Edge {
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| 	private:
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| 		int32_t next = 0;
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| 		int32_t reverse = 0;
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| 		int32_t target_vertex = 0;
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| 
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| 		friend class ConvexHullComputer;
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| 
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| 	public:
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| 		int32_t get_next_relative() const {
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| 			return next;
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| 		}
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| 
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| 		int32_t get_source_vertex() const {
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| 			return (this + reverse)->target_vertex;
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| 		}
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| 
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| 		int32_t get_target_vertex() const {
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| 			return target_vertex;
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| 		}
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| 
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| 		const Edge *get_next_edge_of_vertex() const // clockwise list of all edges of a vertex
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| 		{
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| 			return this + next;
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| 		}
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| 
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| 		const Edge *get_next_edge_of_face() const // counter-clockwise list of all edges of a face
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| 		{
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| 			return (this + reverse)->get_next_edge_of_vertex();
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| 		}
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| 
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| 		const Edge *get_reverse_edge() const {
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| 			return this + reverse;
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| 		}
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| 	};
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| 
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| 	// Vertices of the output hull
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| 	LocalVector<Vector3> vertices;
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| 
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| 	// Edges of the output hull
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| 	LocalVector<Edge> edges;
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| 
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| 	// Faces of the convex hull. Each entry is an index into the "edges" array pointing to an edge of the face. Faces are planar n-gons
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| 	LocalVector<int32_t> faces;
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| 
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| 	/*
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| 		Compute convex hull of "count" vertices stored in "coords".
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| 		If "shrink" is positive, the convex hull is shrunken by that amount (each face is moved by "shrink" length units
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| 		towards the center along its normal).
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| 		If "shrinkClamp" is positive, "shrink" is clamped to not exceed "shrinkClamp * innerRadius", where "innerRadius"
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| 		is the minimum distance of a face to the center of the convex hull.
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| 		The returned value is the amount by which the hull has been shrunken. If it is negative, the amount was so large
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| 		that the resulting convex hull is empty.
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| 		The output convex hull can be found in the member variables "vertices", "edges", "faces".
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| 		*/
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| 	real_t compute(const Vector3 *p_coords, int32_t p_count, real_t p_shrink, real_t p_shrink_clamp);
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| 
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| 	static Error convex_hull(const Vector<Vector3> &p_points, Geometry3D::MeshData &r_mesh);
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| };
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| 
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| #endif // CONVEX_HULL_H
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