// This file is a part of the Framsticks GDK. // Copyright (C) 2002-2014 Maciej Komosinski and Szymon Ulatowski. See LICENSE.txt for details. // Refer to http://www.framsticks.com/ for further information. #include #include #include "3d.h" Pt3D operator+(const Pt3D &p1,const Pt3D &p2) {return Pt3D(p1.x+p2.x,p1.y+p2.y,p1.z+p2.z);} Pt3D operator-(const Pt3D &p1,const Pt3D &p2) {return Pt3D(p1.x-p2.x,p1.y-p2.y,p1.z-p2.z);} Pt3D Pt3D_0(0,0,0); bool Pt3D::report_errors=true; double Pt3D::operator()() const { double q=x*x+y*y+z*z; if (q<0) {if (report_errors) FramMessage("Pt3D","operator()","sqrt domain error",3); return 0;} return sqrt(q); } bool Pt3D::normalize() { double len=length(); if (fabs(len)<1e-50) {if (report_errors) FramMessage("Pt3D","normalize()","vector too small",1); x=1;y=0;z=0; return false;} operator/=(len); return true; } double Pt3D::distanceTo(const Pt3D& p) const { return sqrt((x-p.x)*(x-p.x)+(y-p.y)*(y-p.y)+(z-p.z)*(z-p.z)); } double Pt3D::manhattanDistanceTo(const Pt3D& p) const { return fabs(x-p.x)+fabs(y-p.y)+fabs(z-p.z); } Orient Orient_1(Pt3D(1,0,0),Pt3D(0,1,0),Pt3D(0,0,1)); // prosty obrot void rotate2D(double k,double &x,double &y) {double s=sin(k),c=cos(k); double t=c*x-s*y; y=s*x+c*y; x=t;} void rotate2D(double s,double c,double &x,double &y) {double t=c*x-s*y; y=s*x+c*y; x=t;} int Pt3D::getAngle(double dx,double dy,double &wyn) { if ((fabs(dx)+fabs(dy))<0.0001) return 0; wyn=atan2(dy,dx); return 1; } void Pt3D::getAngles(const Pt3D& X,const Pt3D& dir) { Pt3D t1(X), t2(dir); if (getAngle(t1.x,t1.y,z)) { // nie pionowo rotate2D(-z,t1.x,t1.y); rotate2D(-z,t2.x,t2.y); getAngle(t1.x, t1.z, y); } else { // pionowo z=0; if (t1.z<0) y=-M_PI_2; // w dol else y=M_PI_2; // w gore } rotate2D(-y,t2.x,t2.z); if (!getAngle(t2.z,-t2.y,x)) x=0;// to zly wynik ale dobrego nie ma :P } void Pt3D::getMin(const Pt3D& p) { if (p.xx) x=p.x; if (p.y>y) y=p.y; if (p.z>z) z=p.z; } void Pt3D::vectorProduct(const Pt3D& a,const Pt3D& b) { x=a.y*b.z-a.z*b.y; y=a.z*b.x-a.x*b.z; z=a.x*b.y-a.y*b.x; } void Orient::lookAt(const Pt3D& X,const Pt3D& dir) { x=X; x.normalize(); y.vectorProduct(dir,x); z.vectorProduct(x,y); if ((!y.normalize()) || (!z.normalize())) { y.x=dir.y; y.y=dir.z; y.z=dir.x; z.vectorProduct(x,y); z.normalize(); } } // odleglosc 2d double d2(double x,double y) { double q=x*x+y*y; if (q<0) {if (Pt3D::report_errors) FramMessage("","d2()","sqrt domain error",3); return 0;} return sqrt(q); } Orient::Orient(const Matrix44& m) { x.x=m[0]; x.y=m[1]; x.z=m[2]; y.x=m[4]; y.y=m[5]; y.z=m[6]; z.x=m[8]; z.y=m[9]; z.z=m[10]; } void Orient::operator=(const Pt3D &rot) { *this=Orient_1; rotate(rot); } void Orient::rotate(const Pt3D &v) { double s,c; if (fabs(v.x)>0.0001) { s=sin(v.x); c=cos(v.x); rotate2D(s,c,x.y,x.z); rotate2D(s,c,y.y,y.z); rotate2D(s,c,z.y,z.z); } if (fabs(v.y)>0.0001) { s=sin(v.y); c=cos(v.y); rotate2D(s,c,x.x,x.z); rotate2D(s,c,y.x,y.z); rotate2D(s,c,z.x,z.z); } if (fabs(v.z)>0.0001) { s=sin(v.z); c=cos(v.z); rotate2D(s,c,x.x,x.y); rotate2D(s,c,y.x,y.y); rotate2D(s,c,z.x,z.y); } } void Orient::transform(Pt3D& target,const Pt3D &s) const { target.x=s.x*x.x+s.y*y.x+s.z*z.x; target.y=s.x*x.y+s.y*y.y+s.z*z.y; target.z=s.x*x.z+s.y*y.z+s.z*z.z; } void Orient::revTransform(Pt3D& target,const Pt3D &s) const { target.x=s.x*x.x+s.y*x.y+s.z*x.z; target.y=s.x*y.x+s.y*y.y+s.z*y.z; target.z=s.x*z.x+s.y*z.y+s.z*z.z; } void Orient::transform(Orient& target,const Orient& src) const { transform(target.x,src.x); transform(target.y,src.y); transform(target.z,src.z); } void Orient::revTransform(Orient& target,const Orient& src) const { revTransform(target.x,src.x); revTransform(target.y,src.y); revTransform(target.z,src.z); } void Orient::getAngles(Pt3D &angles) const { angles.getAngles(x,z); } bool Orient::normalize() { bool ret=1; y.vectorProduct(z,x); z.vectorProduct(x,y); if (!x.normalize()) ret=0; if (!z.normalize()) ret=0; if (!y.normalize()) ret=0; return ret; } Matrix44::Matrix44(const Orient &rot) { m[0]=rot.x.x; m[1]=rot.x.y; m[2]=rot.x.z; m[3]=0; m[4]=rot.y.x; m[5]=rot.y.y; m[6]=rot.y.z; m[7]=0; m[8]=rot.z.x; m[9]=rot.z.y; m[10]=rot.z.z; m[11]=0; m[12]=0; m[13]=0; m[14]=0; m[15]=1; } void Matrix44::operator+=(const Pt3D &) { } void Matrix44::operator*=(const Pt3D &) { } void Matrix44::operator*=(double sc) { }