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virtualx-engine/core/math/rect3.cpp

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/*************************************************************************/
/* rect3.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 "rect3.h"
#include "print_string.h"
real_t Rect3::get_area() const {
return size.x*size.y*size.z;
}
bool Rect3::operator==(const Rect3& p_rval) const {
return ((pos==p_rval.pos) && (size==p_rval.size));
}
bool Rect3::operator!=(const Rect3& p_rval) const {
return ((pos!=p_rval.pos) || (size!=p_rval.size));
}
void Rect3::merge_with(const Rect3& p_aabb) {
Vector3 beg_1,beg_2;
Vector3 end_1,end_2;
Vector3 min,max;
beg_1=pos;
beg_2=p_aabb.pos;
end_1=Vector3(size.x,size.y,size.z)+beg_1;
end_2=Vector3(p_aabb.size.x,p_aabb.size.y,p_aabb.size.z)+beg_2;
min.x=(beg_1.x<beg_2.x)?beg_1.x:beg_2.x;
min.y=(beg_1.y<beg_2.y)?beg_1.y:beg_2.y;
min.z=(beg_1.z<beg_2.z)?beg_1.z:beg_2.z;
max.x=(end_1.x>end_2.x)?end_1.x:end_2.x;
max.y=(end_1.y>end_2.y)?end_1.y:end_2.y;
max.z=(end_1.z>end_2.z)?end_1.z:end_2.z;
pos=min;
size=max-min;
}
Rect3 Rect3::intersection(const Rect3& p_aabb) const {
Vector3 src_min=pos;
Vector3 src_max=pos+size;
Vector3 dst_min=p_aabb.pos;
Vector3 dst_max=p_aabb.pos+p_aabb.size;
Vector3 min,max;
if (src_min.x > dst_max.x || src_max.x < dst_min.x )
return Rect3();
else {
min.x= ( src_min.x > dst_min.x ) ? src_min.x :dst_min.x;
max.x= ( src_max.x < dst_max.x ) ? src_max.x :dst_max.x;
}
if (src_min.y > dst_max.y || src_max.y < dst_min.y )
return Rect3();
else {
min.y= ( src_min.y > dst_min.y ) ? src_min.y :dst_min.y;
max.y= ( src_max.y < dst_max.y ) ? src_max.y :dst_max.y;
}
if (src_min.z > dst_max.z || src_max.z < dst_min.z )
return Rect3();
else {
min.z= ( src_min.z > dst_min.z ) ? src_min.z :dst_min.z;
max.z= ( src_max.z < dst_max.z ) ? src_max.z :dst_max.z;
}
return Rect3( min, max-min );
}
bool Rect3::intersects_ray(const Vector3& p_from, const Vector3& p_dir,Vector3* r_clip,Vector3* r_normal) const {
Vector3 c1, c2;
Vector3 end = pos+size;
real_t near=-1e20;
real_t far=1e20;
int axis=0;
for (int i=0;i<3;i++){
if (p_dir[i] == 0){
if ((p_from[i] < pos[i]) || (p_from[i] > end[i])) {
return false;
}
} else { // ray not parallel to planes in this direction
c1[i] = (pos[i] - p_from[i]) / p_dir[i];
c2[i] = (end[i] - p_from[i]) / p_dir[i];
if(c1[i] > c2[i]){
SWAP(c1,c2);
}
if (c1[i] > near){
near = c1[i];
axis=i;
}
if (c2[i] < far){
far = c2[i];
}
if( (near > far) || (far < 0) ){
return false;
}
}
}
if (r_clip)
*r_clip=c1;
if (r_normal) {
*r_normal=Vector3();
(*r_normal)[axis]=p_dir[axis]?-1:1;
}
return true;
}
bool Rect3::intersects_segment(const Vector3& p_from, const Vector3& p_to,Vector3* r_clip,Vector3* r_normal) const {
real_t min=0,max=1;
int axis=0;
real_t sign=0;
for(int i=0;i<3;i++) {
real_t seg_from=p_from[i];
real_t seg_to=p_to[i];
real_t box_begin=pos[i];
real_t box_end=box_begin+size[i];
real_t cmin,cmax;
real_t csign;
if (seg_from < seg_to) {
if (seg_from > box_end || seg_to < box_begin)
return false;
real_t length=seg_to-seg_from;
cmin = (seg_from < box_begin)?((box_begin - seg_from)/length):0;
cmax = (seg_to > box_end)?((box_end - seg_from)/length):1;
csign=-1.0;
} else {
if (seg_to > box_end || seg_from < box_begin)
return false;
real_t length=seg_to-seg_from;
cmin = (seg_from > box_end)?(box_end - seg_from)/length:0;
cmax = (seg_to < box_begin)?(box_begin - seg_from)/length:1;
csign=1.0;
}
if (cmin > min) {
min = cmin;
axis=i;
sign=csign;
}
if (cmax < max)
max = cmax;
if (max < min)
return false;
}
Vector3 rel=p_to-p_from;
if (r_normal) {
Vector3 normal;
normal[axis]=sign;
*r_normal=normal;
}
if (r_clip)
*r_clip=p_from+rel*min;
return true;
}
bool Rect3::intersects_plane(const Plane &p_plane) const {
Vector3 points[8] = {
Vector3( pos.x , pos.y , pos.z ),
Vector3( pos.x , pos.y , pos.z+size.z ),
Vector3( pos.x , pos.y+size.y , pos.z ),
Vector3( pos.x , pos.y+size.y , pos.z+size.z ),
Vector3( pos.x+size.x , pos.y , pos.z ),
Vector3( pos.x+size.x , pos.y , pos.z+size.z ),
Vector3( pos.x+size.x , pos.y+size.y , pos.z ),
Vector3( pos.x+size.x , pos.y+size.y , pos.z+size.z ),
};
bool over=false;
bool under=false;
for (int i=0;i<8;i++) {
if (p_plane.distance_to(points[i])>0)
over=true;
else
under=true;
}
return under && over;
}
Vector3 Rect3::get_longest_axis() const {
Vector3 axis(1,0,0);
real_t max_size=size.x;
if (size.y > max_size ) {
axis=Vector3(0,1,0);
max_size=size.y;
}
if (size.z > max_size ) {
axis=Vector3(0,0,1);
max_size=size.z;
}
return axis;
}
int Rect3::get_longest_axis_index() const {
int axis=0;
real_t max_size=size.x;
if (size.y > max_size ) {
axis=1;
max_size=size.y;
}
if (size.z > max_size ) {
axis=2;
max_size=size.z;
}
return axis;
}
Vector3 Rect3::get_shortest_axis() const {
Vector3 axis(1,0,0);
real_t max_size=size.x;
if (size.y < max_size ) {
axis=Vector3(0,1,0);
max_size=size.y;
}
if (size.z < max_size ) {
axis=Vector3(0,0,1);
max_size=size.z;
}
return axis;
}
int Rect3::get_shortest_axis_index() const {
int axis=0;
real_t max_size=size.x;
if (size.y < max_size ) {
axis=1;
max_size=size.y;
}
if (size.z < max_size ) {
axis=2;
max_size=size.z;
}
return axis;
}
Rect3 Rect3::merge(const Rect3& p_with) const {
Rect3 aabb=*this;
aabb.merge_with(p_with);
return aabb;
}
Rect3 Rect3::expand(const Vector3& p_vector) const {
Rect3 aabb=*this;
aabb.expand_to(p_vector);
return aabb;
}
Rect3 Rect3::grow(real_t p_by) const {
Rect3 aabb=*this;
aabb.grow_by(p_by);
return aabb;
}
void Rect3::get_edge(int p_edge,Vector3& r_from,Vector3& r_to) const {
ERR_FAIL_INDEX(p_edge,12);
switch(p_edge) {
case 0:{
r_from=Vector3( pos.x+size.x , pos.y , pos.z );
r_to=Vector3( pos.x , pos.y , pos.z );
} break;
case 1:{
r_from=Vector3( pos.x+size.x , pos.y , pos.z+size.z );
r_to=Vector3( pos.x+size.x , pos.y , pos.z );
} break;
case 2:{
r_from=Vector3( pos.x , pos.y , pos.z+size.z );
r_to=Vector3( pos.x+size.x , pos.y , pos.z+size.z );
} break;
case 3:{
r_from=Vector3( pos.x , pos.y , pos.z );
r_to=Vector3( pos.x , pos.y , pos.z+size.z );
} break;
case 4:{
r_from=Vector3( pos.x , pos.y+size.y , pos.z );
r_to=Vector3( pos.x+size.x , pos.y+size.y , pos.z );
} break;
case 5:{
r_from=Vector3( pos.x+size.x , pos.y+size.y , pos.z );
r_to=Vector3( pos.x+size.x , pos.y+size.y , pos.z+size.z );
} break;
case 6:{
r_from=Vector3( pos.x+size.x , pos.y+size.y , pos.z+size.z );
r_to=Vector3( pos.x , pos.y+size.y , pos.z+size.z );
} break;
case 7:{
r_from=Vector3( pos.x , pos.y+size.y , pos.z+size.z );
r_to=Vector3( pos.x , pos.y+size.y , pos.z );
} break;
case 8:{
r_from=Vector3( pos.x , pos.y , pos.z+size.z );
r_to=Vector3( pos.x , pos.y+size.y , pos.z+size.z );
} break;
case 9:{
r_from=Vector3( pos.x , pos.y , pos.z );
r_to=Vector3( pos.x , pos.y+size.y , pos.z );
} break;
case 10:{
r_from=Vector3( pos.x+size.x , pos.y , pos.z );
r_to=Vector3( pos.x+size.x , pos.y+size.y , pos.z );
} break;
case 11:{
r_from=Vector3( pos.x+size.x , pos.y , pos.z+size.z );
r_to=Vector3( pos.x+size.x , pos.y+size.y , pos.z+size.z );
} break;
}
}
Rect3::operator String() const {
return String()+pos +" - "+ size;
}
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