virtualx-engine/core/math/plane.cpp
Rémi Verschelde d8223ffa75 Welcome in 2017, dear changelog reader!
That year should bring the long-awaited OpenGL ES 3.0 compatible renderer
with state-of-the-art rendering techniques tuned to work as low as middle
end handheld devices - without compromising with the possibilities given
for higher end desktop games of course. Great times ahead for the Godot
community and the gamers that will play our games!

(cherry picked from commit c7bc44d5ad)
2017-01-12 19:15:30 +01:00

166 lines
4.7 KiB
C++

/*************************************************************************/
/* plane.cpp */
/*************************************************************************/
/* This file is part of: */
/* GODOT ENGINE */
/* http://www.godotengine.org */
/*************************************************************************/
/* Copyright (c) 2007-2017 Juan Linietsky, Ariel Manzur. */
/* */
/* Permission is hereby granted, free of charge, to any person obtaining */
/* a copy of this software and associated documentation files (the */
/* "Software"), to deal in the Software without restriction, including */
/* without limitation the rights to use, copy, modify, merge, publish, */
/* distribute, sublicense, and/or sell copies of the Software, and to */
/* permit persons to whom the Software is furnished to do so, subject to */
/* the following conditions: */
/* */
/* The above copyright notice and this permission notice shall be */
/* included in all copies or substantial portions of the Software. */
/* */
/* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, */
/* EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF */
/* MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT.*/
/* IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY */
/* CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, */
/* TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE */
/* SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE. */
/*************************************************************************/
#include "plane.h"
#include "math_funcs.h"
#define _PLANE_EQ_DOT_EPSILON 0.999
#define _PLANE_EQ_D_EPSILON 0.0001
void Plane::set_normal(const Vector3& p_normal) {
normal=p_normal;
}
void Plane::normalize() {
real_t l = normal.length();
if (l==0) {
*this=Plane(0,0,0,0);
return;
}
normal/=l;
d/=l;
}
Plane Plane::normalized() const {
Plane p = *this;
p.normalize();
return p;
}
Vector3 Plane::get_any_point() const {
return get_normal()*d;
}
Vector3 Plane::get_any_perpendicular_normal() const {
static const Vector3 p1 = Vector3(1,0,0);
static const Vector3 p2 = Vector3(0,1,0);
Vector3 p;
if (ABS(normal.dot(p1)) > 0.99) // if too similar to p1
p=p2; // use p2
else
p=p1; // use p1
p-=normal * normal.dot(p);
p.normalize();
return p;
}
/* intersections */
bool Plane::intersect_3(const Plane &p_plane1, const Plane &p_plane2, Vector3 *r_result) const {
const Plane &p_plane0=*this;
Vector3 normal0=p_plane0.normal;
Vector3 normal1=p_plane1.normal;
Vector3 normal2=p_plane2.normal;
real_t denom=vec3_cross(normal0,normal1).dot(normal2);
if (ABS(denom)<=CMP_EPSILON)
return false;
if (r_result) {
*r_result = ( (vec3_cross(normal1, normal2) * p_plane0.d) +
(vec3_cross(normal2, normal0) * p_plane1.d) +
(vec3_cross(normal0, normal1) * p_plane2.d) )/denom;
}
return true;
}
bool Plane::intersects_ray(Vector3 p_from, Vector3 p_dir, Vector3* p_intersection) const {
Vector3 segment=p_dir;
real_t den=normal.dot( segment );
//printf("den is %i\n",den);
if (Math::abs(den)<=CMP_EPSILON) {
return false;
}
real_t dist=(normal.dot( p_from ) - d) / den;
//printf("dist is %i\n",dist);
if (dist>CMP_EPSILON) { //this is a ray, before the emiting pos (p_from) doesnt exist
return false;
}
dist=-dist;
*p_intersection = p_from + segment * dist;
return true;
}
bool Plane::intersects_segment(Vector3 p_begin, Vector3 p_end, Vector3* p_intersection) const {
Vector3 segment= p_begin - p_end;
real_t den=normal.dot( segment );
//printf("den is %i\n",den);
if (Math::abs(den)<=CMP_EPSILON) {
return false;
}
real_t dist=(normal.dot( p_begin ) - d) / den;
//printf("dist is %i\n",dist);
if (dist<-CMP_EPSILON || dist > (1.0 +CMP_EPSILON)) {
return false;
}
dist=-dist;
*p_intersection = p_begin + segment * dist;
return true;
}
/* misc */
bool Plane::is_almost_like(const Plane& p_plane) const {
return (normal.dot( p_plane.normal ) > _PLANE_EQ_DOT_EPSILON && Math::absd(d-p_plane.d) < _PLANE_EQ_D_EPSILON);
}
Plane::operator String() const {
return normal.operator String() + ", " + rtos(d);
}