172 lines
4.8 KiB
C++
172 lines
4.8 KiB
C++
/*************************************************************************/
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/* plane.cpp */
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/*************************************************************************/
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/* This file is part of: */
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/* GODOT ENGINE */
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/* http://www.godotengine.org */
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/*************************************************************************/
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/* Copyright (c) 2007-2017 Juan Linietsky, Ariel Manzur. */
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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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#include "plane.h"
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#include "math_funcs.h"
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#define _PLANE_EQ_DOT_EPSILON 0.999
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#define _PLANE_EQ_D_EPSILON 0.0001
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void Plane::set_normal(const Vector3& p_normal) {
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normal=p_normal;
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}
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void Plane::normalize() {
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real_t l = normal.length();
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if (l==0) {
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*this=Plane(0,0,0,0);
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return;
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}
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normal/=l;
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d/=l;
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}
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Plane Plane::normalized() const {
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Plane p = *this;
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p.normalize();
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return p;
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}
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Vector3 Plane::get_any_point() const {
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return get_normal()*d;
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}
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Vector3 Plane::get_any_perpendicular_normal() const {
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static const Vector3 p1 = Vector3(1,0,0);
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static const Vector3 p2 = Vector3(0,1,0);
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Vector3 p;
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if (ABS(normal.dot(p1)) > 0.99) // if too similar to p1
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p=p2; // use p2
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else
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p=p1; // use p1
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p-=normal * normal.dot(p);
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p.normalize();
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return p;
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}
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/* intersections */
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bool Plane::intersect_3(const Plane &p_plane1, const Plane &p_plane2, Vector3 *r_result) const {
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const Plane &p_plane0=*this;
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Vector3 normal0=p_plane0.normal;
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Vector3 normal1=p_plane1.normal;
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Vector3 normal2=p_plane2.normal;
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real_t denom=vec3_cross(normal0,normal1).dot(normal2);
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if (ABS(denom)<=CMP_EPSILON)
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return false;
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if (r_result) {
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*r_result = ( (vec3_cross(normal1, normal2) * p_plane0.d) +
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(vec3_cross(normal2, normal0) * p_plane1.d) +
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(vec3_cross(normal0, normal1) * p_plane2.d) )/denom;
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}
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return true;
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}
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bool Plane::intersects_ray(Vector3 p_from, Vector3 p_dir, Vector3* p_intersection) const {
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Vector3 segment=p_dir;
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real_t den=normal.dot( segment );
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//printf("den is %i\n",den);
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if (Math::abs(den)<=CMP_EPSILON) {
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return false;
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}
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real_t dist=(normal.dot( p_from ) - d) / den;
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//printf("dist is %i\n",dist);
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if (dist>CMP_EPSILON) { //this is a ray, before the emiting pos (p_from) doesnt exist
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return false;
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}
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dist=-dist;
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*p_intersection = p_from + segment * dist;
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return true;
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}
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bool Plane::intersects_segment(Vector3 p_begin, Vector3 p_end, Vector3* p_intersection) const {
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Vector3 segment= p_begin - p_end;
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real_t den=normal.dot( segment );
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//printf("den is %i\n",den);
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if (Math::abs(den)<=CMP_EPSILON) {
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return false;
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}
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real_t dist=(normal.dot( p_begin ) - d) / den;
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//printf("dist is %i\n",dist);
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if (dist<-CMP_EPSILON || dist > (1.0 +CMP_EPSILON)) {
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return false;
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}
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dist=-dist;
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*p_intersection = p_begin + segment * dist;
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return true;
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}
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/* misc */
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bool Plane::is_almost_like(const Plane& p_plane) const {
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return (normal.dot( p_plane.normal ) > _PLANE_EQ_DOT_EPSILON && Math::absd(d-p_plane.d) < _PLANE_EQ_D_EPSILON);
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}
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Plane::operator String() const {
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return normal.operator String() + ", " + rtos(d);
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}
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bool Plane::nan_equals(const Plane& p_plane) const {
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return normal.nan_equals(p_plane.normal) && d == p_plane.d;
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}
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