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/********************************************************************************
* *
* D o u b l e - P r e c i s i o n E x t e n t C l a s s *
* *
*********************************************************************************
* Copyright (C) 2004,2022 by Jeroen van der Zijp. All Rights Reserved. *
*********************************************************************************
* This library is free software; you can redistribute it and/or modify *
* it under the terms of the GNU Lesser General Public License as published by *
* the Free Software Foundation; either version 3 of the License, or *
* (at your option) any later version. *
* *
* This library is distributed in the hope that it will be useful, *
* but WITHOUT ANY WARRANTY; without even the implied warranty of *
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the *
* GNU Lesser General Public License for more details. *
* *
* You should have received a copy of the GNU Lesser General Public License *
* along with this program. If not, see <http://www.gnu.org/licenses/> *
********************************************************************************/
#include "xincs.h"
#include "fxver.h"
#include "fxdefs.h"
#include "fxmath.h"
#include "FXArray.h"
#include "FXHash.h"
#include "FXStream.h"
#include "FXVec2d.h"
#include "FXExtentd.h"
/*
Notes:
*/
using namespace FX;
/************************** E x t e n t C l a s s *************************/
namespace FX {
// Longest side
FXdouble FXExtentd::longest() const {
FXdouble x=upper.x-lower.x;
FXdouble y=upper.y-lower.y;
return Math::fmax(x,y);
}
// Shortest side
FXdouble FXExtentd::shortest() const {
FXdouble x=upper.x-lower.x;
FXdouble y=upper.y-lower.y;
return Math::fmin(x,y);
}
// Length of diagonal
FXdouble FXExtentd::diameter() const {
FXdouble x=upper.x-lower.x;
FXdouble y=upper.y-lower.y;
return Math::sqrt(x*x+y*y);
}
// Get radius of box
FXdouble FXExtentd::radius() const {
return diameter()*0.5;
}
// Get diagonal of box
FXVec2d FXExtentd::diagonal() const {
return upper-lower;
}
// Get center of box
FXVec2d FXExtentd::center() const {
return 0.5*(upper+lower);
}
// Test if empty
FXbool FXExtentd::empty() const {
return upper.x<lower.x || upper.y<lower.y;
}
// Test if box contains point
FXbool FXExtentd::contains(FXdouble x,FXdouble y) const {
return lower.x<=x && x<=upper.x && lower.y<=y && y<=upper.y;
}
// Test if box contains point p
FXbool FXExtentd::contains(const FXVec2d& p) const {
return lower.x<=p.x && p.x<=upper.x && lower.y<=p.y && p.y<=upper.y;
}
// Test if box contains another box
FXbool FXExtentd::contains(const FXExtentd& ext) const {
return lower.x<=ext.lower.x && ext.upper.x<=upper.x && lower.y<=ext.lower.y && ext.upper.y<=upper.y;
}
// Include point into range
FXExtentd& FXExtentd::include(FXdouble x,FXdouble y){
lower.x=Math::fmin(x,lower.x);
lower.y=Math::fmin(y,lower.y);
upper.x=Math::fmax(x,upper.x);
upper.y=Math::fmax(y,upper.y);
return *this;
}
// Include point into range
FXExtentd& FXExtentd::include(const FXVec2d& v){
return include(v.x,v.y);
}
// Include given box into box's range
FXExtentd& FXExtentd::include(const FXExtentd& ext){
lower.x=Math::fmin(ext.lower.x,lower.x);
lower.y=Math::fmin(ext.lower.y,lower.y);
upper.x=Math::fmax(ext.upper.x,upper.x);
upper.y=Math::fmax(ext.upper.y,upper.y);
return *this;
}
// Intersect box with ray u-v
FXbool FXExtentd::intersect(const FXVec2d& u,const FXVec2d& v) const {
FXdouble hits[2];
return intersect(u,v-u,hits) && 0.0<=hits[1] && hits[0]<=1.0;
}
// Intersect box with ray p+lambda*d, returning true if hit
FXbool FXExtentd::intersect(const FXVec2d& pos,const FXVec2d& dir,FXdouble hit[]) const {
FXdouble f= DBL_MAX;
FXdouble n=-DBL_MAX;
FXdouble ni,fi;
if(__likely(dir.x!=0.0)){
if(0.0<dir.x){
ni=(lower.x-pos.x)/dir.x;
fi=(upper.x-pos.x)/dir.x;
}
else{
ni=(upper.x-pos.x)/dir.x;
fi=(lower.x-pos.x)/dir.x;
}
if(ni>n) n=ni;
if(fi<f) f=fi;
}
else{
if((pos.x<lower.x) || (pos.x>upper.x)) return false;
}
if(__likely(dir.y!=0.0)){
if(0.0<dir.y){
ni=(lower.y-pos.y)/dir.y;
fi=(upper.y-pos.y)/dir.y;
}
else{
ni=(upper.y-pos.y)/dir.y;
fi=(lower.y-pos.y)/dir.y;
}
if(ni>n) n=ni;
if(fi<f) f=fi;
if(n>f) return false;
}
else{
if((pos.y<lower.y) || (pos.y>upper.y)) return false;
}
hit[0]=n;
hit[1]=f;
return true;
}
// Test if overlap
FXbool overlap(const FXExtentd& a,const FXExtentd& b){
return a.upper.x>=b.lower.x && a.lower.x<=b.upper.x && a.upper.y>=b.lower.y && a.lower.y<=b.upper.y;
}
// Union of two boxes
FXExtentd unite(const FXExtentd& a,const FXExtentd& b){
return FXExtentd(lo(a.lower,b.lower),hi(a.upper,b.upper));
}
// Intersection of two boxes
FXExtentd intersect(const FXExtentd& a,const FXExtentd& b){
return FXExtentd(hi(a.lower,b.lower),lo(a.upper,b.upper));
}
// Saving
FXStream& operator<<(FXStream& store,const FXExtentd& ext){
store << ext.lower.x << ext.upper.x;
store << ext.lower.y << ext.upper.y;
return store;
}
// Loading
FXStream& operator>>(FXStream& store,FXExtentd& ext){
store >> ext.lower.x >> ext.upper.x;
store >> ext.lower.y >> ext.upper.y;
return store;
}
}
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