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drawsurface.cc
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/*****
* drawsurface.cc
*
* Stores a surface that has been added to a picture.
*****/
#include "drawsurface.h"
#include "arrayop.h"
#include <iostream>
#include <iomanip>
#include <fstream>
using namespace prc;
namespace camp {
const double pixel=1.0; // Adaptive rendering constant.
const triple drawElement::zero;
using vm::array;
#ifdef HAVE_GL
void bezierTriangle(const triple *g, bool straight, double ratio,
bool havebillboard, triple center, GLfloat *colors);
void storecolor(GLfloat *colors, int i, const vm::array &pens, int j)
{
pen p=vm::read<camp::pen>(pens,j);
p.torgb();
colors[i]=p.red();
colors[i+1]=p.green();
colors[i+2]=p.blue();
colors[i+3]=p.opacity();
}
void storecolor(GLfloat *colors, int i, const RGBAColour& p)
{
colors[i]=p.R;
colors[i+1]=p.G;
colors[i+2]=p.B;
colors[i+3]=p.A;
}
void setcolors(bool colors, bool lighton,
const RGBAColour& diffuse,
const RGBAColour& ambient,
const RGBAColour& emissive,
const RGBAColour& specular, double shininess)
{
if(colors) {
glEnable(GL_COLOR_MATERIAL);
if(!lighton)
glColorMaterial(GL_FRONT_AND_BACK,GL_EMISSION);
GLfloat Black[]={0,0,0,(GLfloat) diffuse.A};
glMaterialfv(GL_FRONT_AND_BACK,GL_DIFFUSE,Black);
glMaterialfv(GL_FRONT_AND_BACK,GL_AMBIENT,Black);
glMaterialfv(GL_FRONT_AND_BACK,GL_EMISSION,Black);
} else {
GLfloat Diffuse[]={(GLfloat) diffuse.R,(GLfloat) diffuse.G,
(GLfloat) diffuse.B,(GLfloat) diffuse.A};
glMaterialfv(GL_FRONT_AND_BACK,GL_DIFFUSE,Diffuse);
GLfloat Ambient[]={(GLfloat) ambient.R,(GLfloat) ambient.G,
(GLfloat) ambient.B,(GLfloat) ambient.A};
glMaterialfv(GL_FRONT_AND_BACK,GL_AMBIENT,Ambient);
GLfloat Emissive[]={(GLfloat) emissive.R,(GLfloat) emissive.G,
(GLfloat) emissive.B,(GLfloat) emissive.A};
glMaterialfv(GL_FRONT_AND_BACK,GL_EMISSION,Emissive);
}
if(lighton) {
GLfloat Specular[]={(GLfloat) specular.R,(GLfloat) specular.G,
(GLfloat) specular.B,(GLfloat) specular.A};
glMaterialfv(GL_FRONT_AND_BACK,GL_SPECULAR,Specular);
glMaterialf(GL_FRONT_AND_BACK,GL_SHININESS,128.0*shininess);
}
}
#endif
void drawSurface::bounds(const double* t, bbox3& b)
{
double x,y,z;
double X,Y,Z;
if(straight) {
triple *Vertices;
if(t == NULL) Vertices=vertices;
else {
triple buf[4];
Vertices=buf;
for(int i=0; i < 4; ++i)
Vertices[i]=t*vertices[i];
}
boundstriples(x,y,z,X,Y,Z,4,Vertices);
} else {
double cx[16];
double cy[16];
double cz[16];
if(t == NULL) {
for(int i=0; i < 16; ++i) {
triple v=controls[i];
cx[i]=v.getx();
cy[i]=v.gety();
cz[i]=v.getz();
}
} else {
for(int i=0; i < 16; ++i) {
triple v=t*controls[i];
cx[i]=v.getx();
cy[i]=v.gety();
cz[i]=v.getz();
}
}
double c0=cx[0];
double fuzz=sqrtFuzz*run::norm(cx,16);
x=bound(cx,min,b.empty ? c0 : min(c0,b.left),fuzz,maxdepth);
X=bound(cx,max,b.empty ? c0 : max(c0,b.right),fuzz,maxdepth);
c0=cy[0];
fuzz=sqrtFuzz*run::norm(cy,16);
y=bound(cy,min,b.empty ? c0 : min(c0,b.bottom),fuzz,maxdepth);
Y=boundtri(cy,max,b.empty ? c0 : max(c0,b.top),fuzz,maxdepth);
c0=cz[0];
fuzz=sqrtFuzz*run::norm(cz,16);
z=bound(cz,min,b.empty ? c0 : min(c0,b.lower),fuzz,maxdepth);
Z=bound(cz,max,b.empty ? c0 : max(c0,b.upper),fuzz,maxdepth);
}
b.add(x,y,z);
b.add(X,Y,Z);
if(t == NULL) {
Min=triple(x,y,z);
Max=triple(X,Y,Z);
}
}
void drawSurface::ratio(const double* t, pair &b, double (*m)(double, double),
double fuzz, bool &first)
{
triple buf[16];
if(straight) {
triple *Vertices;
if(t == NULL) Vertices=vertices;
else {
Vertices=buf;
for(int i=0; i < 4; ++i)
Vertices[i]=t*vertices[i];
}
triple v=Vertices[0];
double x=xratio(v);
double y=yratio(v);
if(first) {
first=false;
b=pair(x,y);
} else {
x=m(b.getx(),x);
y=m(b.gety(),y);
}
for(size_t i=1; i < 4; ++i) {
triple v=Vertices[i];
x=m(x,xratio(v));
y=m(y,yratio(v));
}
b=pair(x,y);
} else {
triple* Controls;
if(t == NULL) Controls=controls;
else {
Controls=buf;
for(int i=0; i < 16; ++i)
Controls[i]=t*controls[i];
}
if(first) {
triple v=Controls[0];
b=pair(xratio(v),yratio(v));
first=false;
}
b=pair(bound(Controls,m,xratio,b.getx(),fuzz,maxdepth),
bound(Controls,m,yratio,b.gety(),fuzz,maxdepth));
}
}
bool drawSurface::write(prcfile *out, unsigned int *, double, groupsmap&)
{
if(invisible || !prc)
return true;
PRCmaterial m(ambient,diffuse,emissive,specular,opacity,PRCshininess);
if(straight) {
if(colors)
out->addQuad(vertices,colors);
else
out->addRectangle(vertices,m);
} else
out->addPatch(controls,m);
return true;
}
// return the perpendicular displacement of a point z from the plane
// through u with unit normal n.
inline triple displacement2(const triple& z, const triple& u, const triple& n)
{
triple Z=z-u;
return n != triple(0,0,0) ? dot(Z,n)*n : Z;
}
inline triple maxabs(triple u, triple v)
{
return triple(max(fabs(u.getx()),fabs(v.getx())),
max(fabs(u.gety()),fabs(v.gety())),
max(fabs(u.getz()),fabs(v.getz())));
}
inline triple displacement1(const triple& z0, const triple& c0,
const triple& c1, const triple& z1)
{
return maxabs(displacement(c0,z0,z1),displacement(c1,z0,z1));
}
void drawSurface::displacement()
{
#ifdef HAVE_GL
if(normal != zero) {
d=zero;
if(!straight) {
for(size_t i=1; i < 16; ++i)
d=maxabs(d,displacement2(controls[i],controls[0],normal));
dperp=d;
for(size_t i=0; i < 4; ++i)
d=maxabs(d,displacement1(controls[4*i],controls[4*i+1],
controls[4*i+2],controls[4*i+3]));
for(size_t i=0; i < 4; ++i)
d=maxabs(d,displacement1(controls[i],controls[i+4],
controls[i+8],controls[i+12]));
}
}
#endif
}
inline double fraction(double d, double size)
{
return size == 0 ? 1.0 : min(fabs(d)/size,1.0);
}
// estimate the viewport fraction associated with the displacement d
inline double fraction(const triple& d, const pair& size)
{
return max(fraction(d.getx(),size.getx()),fraction(d.gety(),size.gety()));
}
void drawSurface::render(GLUnurbs *nurb, double size2,
const triple& Min, const triple& Max,
double perspective, bool lighton, bool transparent)
{
#ifdef HAVE_GL
if(invisible ||
((colors ? colors[0].A+colors[1].A+colors[2].A+colors[3].A < 4.0 :
diffuse.A < 1.0) ^ transparent)) return;
double s;
GLfloat Normal[3];
GLfloat v[16];
const bool havebillboard=interaction == BILLBOARD &&
!settings::getSetting<bool>("offscreen");
triple m,M;
if(perspective || !havebillboard) {
double t[16];
glGetDoublev(GL_MODELVIEW_MATRIX,t);
// Like Fortran, OpenGL uses transposed (column-major) format!
run::transpose(t,4);
bbox3 B(this->Min,this->Max);
B.transform(t);
m=B.Min();
M=B.Max();
}
if(perspective) {
const double f=m.getz()*perspective;
const double F=M.getz()*perspective;
if(!havebillboard && (M.getx() < min(f*Min.getx(),F*Min.getx()) ||
m.getx() > max(f*Max.getx(),F*Max.getx()) ||
M.gety() < min(f*Min.gety(),F*Min.gety()) ||
m.gety() > max(f*Max.gety(),F*Max.gety()) ||
M.getz() < Min.getz() ||
m.getz() > Max.getz()))
return;
s=max(f,F);
} else {
if(!havebillboard && (M.getx() < Min.getx() || m.getx() > Max.getx() ||
M.gety() < Min.gety() || m.gety() > Max.gety() ||
M.getz() < Min.getz() || m.getz() > Max.getz()))
return;
s=1.0;
}
setcolors(colors,lighton,diffuse,ambient,emissive,specular,shininess);
const pair size3(s*(Max.getx()-Min.getx()),s*(Max.gety()-Min.gety()));
bool havenormal=normal != zero;
if(havebillboard) BB.init();
if(colors)
for(size_t i=0; i < 4; ++i)
storecolor(v,4*i,colors[i]);
if(!straight && (!havenormal || fraction(d,size3)*size2 >= pixel)) {
if(lighton) {
if(havenormal && fraction(dperp,size3)*size2 <= 0.1) {
if(havebillboard)
BB.store(Normal,normal,zero);
else
store(Normal,normal);
glNormal3fv(Normal);
gluNurbsCallback(nurb,GLU_NURBS_NORMAL,NULL);
} else
gluNurbsCallback(nurb,GLU_NURBS_NORMAL,(_GLUfuncptr) glNormal3fv);
}
GLfloat Controls[48];
if(havebillboard) {
for(size_t i=0; i < 16; ++i)
BB.store(Controls+3*i,controls[i],center);
} else {
for(size_t i=0; i < 16; ++i)
store(Controls+3*i,controls[i]);
}
static GLfloat bezier[]={0.0,0.0,0.0,0.0,1.0,1.0,1.0,1.0};
gluBeginSurface(nurb);
gluNurbsSurface(nurb,8,bezier,8,bezier,12,3,Controls,4,4,GL_MAP2_VERTEX_3);
if(colors) {
static GLfloat linear[]={0.0,0.0,1.0,1.0};
gluNurbsSurface(nurb,4,linear,4,linear,8,4,v,2,2,GL_MAP2_COLOR_4);
}
gluEndSurface(nurb);
} else {
GLfloat Vertices[12];
if(havebillboard) {
for(size_t i=0; i < 4; ++i)
BB.store(Vertices+3*i,vertices[i],center);
} else {
for(size_t i=0; i < 4; ++i)
store(Vertices+3*i,vertices[i]);
}
if(havebillboard)
BB.store(Normal,normal,zero);
else
store(Normal,normal);
glBegin(GL_QUADS);
if(lighton)
glNormal3fv(Normal);
if(colors)
glColor4fv(v);
glVertex3fv(Vertices);
if(colors)
glColor4fv(v+8);
glVertex3fv(Vertices+6);
if(colors)
glColor4fv(v+12);
glVertex3fv(Vertices+9);
if(colors)
glColor4fv(v+4);
glVertex3fv(Vertices+3);
glEnd();
}
if(colors)
glDisable(GL_COLOR_MATERIAL);
#endif
}
drawElement *drawSurface::transformed(const double* t)
{
return new drawSurface(t,this);
}
void drawBezierTriangle::bounds(const double* t, bbox3& b)
{
double x,y,z;
double X,Y,Z;
if(straight) {
triple Vertices[3];
if(t == NULL) {
Vertices[0]=controls[0];
Vertices[1]=controls[6];
Vertices[2]=controls[9];
} else {
Vertices[0]=t*controls[0];
Vertices[1]=t*controls[6];
Vertices[2]=t*controls[9];
}
boundstriples(x,y,z,X,Y,Z,3,Vertices);
} else {
double cx[10];
double cy[10];
double cz[10];
if(t == NULL) {
for(unsigned int i=0; i < 10; ++i) {
triple v=controls[i];
cx[i]=v.getx();
cy[i]=v.gety();
cz[i]=v.getz();
}
} else {
for(unsigned int i=0; i < 10; ++i) {
triple v=t*controls[i];
cx[i]=v.getx();
cy[i]=v.gety();
cz[i]=v.getz();
}
}
double c0=cx[0];
double fuzz=sqrtFuzz*run::norm(cx,10);
x=boundtri(cx,min,b.empty ? c0 : min(c0,b.left),fuzz,maxdepth);
X=boundtri(cx,max,b.empty ? c0 : max(c0,b.right),fuzz,maxdepth);
c0=cy[0];
fuzz=sqrtFuzz*run::norm(cy,10);
y=boundtri(cy,min,b.empty ? c0 : min(c0,b.bottom),fuzz,maxdepth);
Y=boundtri(cy,max,b.empty ? c0 : max(c0,b.top),fuzz,maxdepth);
c0=cz[0];
fuzz=sqrtFuzz*run::norm(cz,10);
z=boundtri(cz,min,b.empty ? c0 : min(c0,b.lower),fuzz,maxdepth);
Z=boundtri(cz,max,b.empty ? c0 : max(c0,b.upper),fuzz,maxdepth);
}
b.add(x,y,z);
b.add(X,Y,Z);
if(t == NULL) {
Min=triple(x,y,z);
Max=triple(X,Y,Z);
}
}
void drawBezierTriangle::ratio(const double* t, pair &b,
double (*m)(double, double), double fuzz,
bool &first)
{
triple buf[10];
triple* Controls;
if(straight) {
if(t == NULL) Controls=controls;
else {
Controls=buf;
Controls[0]=t*controls[0];
Controls[6]=t*controls[6];
Controls[9]=t*controls[9];
}
triple v=Controls[0];
double x=xratio(v);
double y=yratio(v);
if(first) {
first=false;
b=pair(x,y);
} else {
x=m(b.getx(),x);
y=m(b.gety(),y);
}
v=Controls[6];
x=m(x,xratio(v));
y=m(y,yratio(v));
v=Controls[9];
x=m(x,xratio(v));
y=m(y,yratio(v));
b=pair(x,y);
} else {
if(t == NULL) Controls=controls;
else {
Controls=buf;
for(unsigned int i=0; i < 10; ++i)
Controls[i]=t*controls[i];
}
if(first) {
triple v=Controls[0];
b=pair(xratio(v),yratio(v));
first=false;
}
b=pair(boundtri(Controls,m,xratio,b.getx(),fuzz,maxdepth),
boundtri(Controls,m,yratio,b.gety(),fuzz,maxdepth));
}
}
bool drawBezierTriangle::write(prcfile *out, unsigned int *, double,
groupsmap&)
{
if(invisible)
return true;
PRCmaterial m(ambient,diffuse,emissive,specular,opacity,PRCshininess);
static const double third=1.0/3.0;
static const double third2=2.0/3.0;
triple Controls[]={controls[0],controls[0],controls[0],controls[0],
controls[1],third2*controls[1]+third*controls[2],
third*controls[1]+third2*controls[2],
controls[2],controls[3],
third*controls[3]+third2*controls[4],
third2*controls[4]+third*controls[5],
controls[5],controls[6],controls[7],
controls[8],controls[9]};
out->addPatch(Controls,m);
return true;
}
void drawBezierTriangle::render(GLUnurbs *nurb, double size2,
const triple& Min, const triple& Max,
double perspective, bool lighton,
bool transparent)
{
#ifdef HAVE_GL
if(invisible)
return;
if(invisible ||
((colors ? colors[0].A+colors[1].A+colors[2].A < 3.0 :
diffuse.A < 1.0) ^ transparent)) return;
double s;
const bool havebillboard=interaction == BILLBOARD &&
!settings::getSetting<bool>("offscreen");
triple m,M;
double t[16]; // current transform
glGetDoublev(GL_MODELVIEW_MATRIX,t);
// Like Fortran, OpenGL uses transposed (column-major) format!
run::transpose(t,4);
bbox3 B(this->Min,this->Max);
B.transform(t);
m=B.Min();
M=B.Max();
if(perspective) {
const double f=m.getz()*perspective;
const double F=M.getz()*perspective;
if((M.getx() < min(f*Min.getx(),F*Min.getx()) ||
m.getx() > max(f*Max.getx(),F*Max.getx()) ||
M.gety() < min(f*Min.gety(),F*Min.gety()) ||
m.gety() > max(f*Max.gety(),F*Max.gety()) ||
M.getz() < Min.getz() ||
m.getz() > Max.getz()))
return;
s=max(f,F);
} else {
if((M.getx() < Min.getx() || m.getx() > Max.getx() ||
M.gety() < Min.gety() || m.gety() > Max.gety() ||
M.getz() < Min.getz() || m.getz() > Max.getz()))
return;
s=1.0;
}
setcolors(colors,lighton,diffuse,ambient,emissive,specular,shininess);
const pair size3(s*(Max.getx()-Min.getx()),s*(Max.gety()-Min.gety()));
GLfloat v[12];
if(colors)
for(size_t i=0; i < 3; ++i)
storecolor(v,4*i,colors[i]);
bezierTriangle(controls,straight,size3.length()/size2,havebillboard,center,
colors ? v : NULL);
if(colors)
glDisable(GL_COLOR_MATERIAL);
#endif
}
drawElement *drawBezierTriangle::transformed(const double* t)
{
return new drawBezierTriangle(t,this);
}
bool drawNurbs::write(prcfile *out, unsigned int *, double, groupsmap&)
{
if(invisible)
return true;
PRCmaterial m(ambient,diffuse,emissive,specular,opacity,PRCshininess);
out->addSurface(udegree,vdegree,nu,nv,controls,uknots,vknots,m,weights);
return true;
}
// Approximate bounds by bounding box of control polyhedron.
void drawNurbs::bounds(const double* t, bbox3& b)
{
double x,y,z;
double X,Y,Z;
const size_t n=nu*nv;
triple* Controls;
if(t == NULL) Controls=controls;
else {
Controls=new triple[n];
for(size_t i=0; i < n; i++)
Controls[i]=t*controls[i];
}
boundstriples(x,y,z,X,Y,Z,n,Controls);
b.add(x,y,z);
b.add(X,Y,Z);
if(t == NULL) {
Min=triple(x,y,z);
Max=triple(X,Y,Z);
} else delete[] Controls;
}
drawElement *drawNurbs::transformed(const double* t)
{
return new drawNurbs(t,this);
}
void drawNurbs::ratio(const double *t, pair &b, double (*m)(double, double),
double, bool &first)
{
const size_t n=nu*nv;
triple* Controls;
if(t == NULL) Controls=controls;
else {
Controls=new triple[n];
for(unsigned int i=0; i < n; ++i)
Controls[i]=t*controls[i];
}
if(first) {
first=false;
triple v=Controls[0];
b=pair(xratio(v),yratio(v));
}
double x=b.getx();
double y=b.gety();
for(size_t i=0; i < n; ++i) {
triple v=Controls[i];
x=m(x,xratio(v));
y=m(y,yratio(v));
}
b=pair(x,y);
if(t != NULL)
delete[] Controls;
}
void drawNurbs::displacement()
{
#ifdef HAVE_GL
size_t n=nu*nv;
size_t nuknots=udegree+nu+1;
size_t nvknots=vdegree+nv+1;
if(Controls == NULL) {
Controls=new(UseGC) GLfloat[(weights ? 4 : 3)*n];
uKnots=new(UseGC) GLfloat[nuknots];
vKnots=new(UseGC) GLfloat[nvknots];
}
if(weights)
for(size_t i=0; i < n; ++i)
store(Controls+4*i,controls[i],weights[i]);
else
for(size_t i=0; i < n; ++i)
store(Controls+3*i,controls[i]);
for(size_t i=0; i < nuknots; ++i)
uKnots[i]=uknots[i];
for(size_t i=0; i < nvknots; ++i)
vKnots[i]=vknots[i];
#endif
}
void drawNurbs::render(GLUnurbs *nurb, double size2,
const triple& Min, const triple& Max,
double perspective, bool lighton, bool transparent)
{
#ifdef HAVE_GL
if(invisible || ((colors ? colors[3]+colors[7]+colors[11]+colors[15] < 4.0
: diffuse.A < 1.0) ^ transparent)) return;
double t[16]; // current transform
glGetDoublev(GL_MODELVIEW_MATRIX,t);
run::transpose(t,4);
bbox3 B(this->Min,this->Max);
B.transform(t);
triple m=B.Min();
triple M=B.Max();
if(perspective) {
double f=m.getz()*perspective;
double F=M.getz()*perspective;
if(M.getx() < min(f*Min.getx(),F*Min.getx()) ||
m.getx() > max(f*Max.getx(),F*Max.getx()) ||
M.gety() < min(f*Min.gety(),F*Min.gety()) ||
m.gety() > max(f*Max.gety(),F*Max.gety()) ||
M.getz() < Min.getz() ||
m.getz() > Max.getz()) return;
} else {
if(M.getx() < Min.getx() || m.getx() > Max.getx() ||
M.gety() < Min.gety() || m.gety() > Max.gety() ||
M.getz() < Min.getz() || m.getz() > Max.getz()) return;
}
setcolors(colors,lighton,diffuse,ambient,emissive,specular,shininess);
gluBeginSurface(nurb);
int uorder=udegree+1;
int vorder=vdegree+1;
size_t stride=weights ? 4 : 3;
gluNurbsSurface(nurb,uorder+nu,uKnots,vorder+nv,vKnots,stride*nv,stride,
Controls,uorder,vorder,
weights ? GL_MAP2_VERTEX_4 : GL_MAP2_VERTEX_3);
if(lighton)
gluNurbsCallback(nurb,GLU_NURBS_NORMAL,(_GLUfuncptr) glNormal3fv);
if(colors) {
static GLfloat linear[]={0.0,0.0,1.0,1.0};
gluNurbsSurface(nurb,4,linear,4,linear,8,4,colors,2,2,GL_MAP2_COLOR_4);
}
gluEndSurface(nurb);
if(colors)
glDisable(GL_COLOR_MATERIAL);
#endif
}
void drawSphere::P(triple& t, double x, double y, double z)
{
if(half) {
double temp=z; z=x; x=-temp;
}
if(T == NULL) {
t=triple(x,y,z);
return;
}
double f=T[12]*x+T[13]*y+T[14]*z+T[15];
if(f == 0.0) run::dividebyzero();
f=1.0/f;
t=triple((T[0]*x+T[1]*y+T[2]*z+T[3])*f,(T[4]*x+T[5]*y+T[6]*z+T[7])*f,
(T[8]*x+T[9]*y+T[10]*z+T[11])*f);
}
bool drawSphere::write(prcfile *out, unsigned int *, double, groupsmap&)
{
if(invisible)
return true;
PRCmaterial m(ambient,diffuse,emissive,specular,opacity,shininess);
switch(type) {
case 0: // PRCsphere
{
if(half)
out->addHemisphere(1.0,m,NULL,NULL,NULL,1.0,T);
else
out->addSphere(1.0,m,NULL,NULL,NULL,1.0,T);
break;
}
case 1: // NURBSsphere
{
static double uknot[]={0.0,0.0,1.0/3.0,0.5,1.0,1.0};
static double vknot[]={0.0,0.0,0.0,0.0,1.0,1.0,1.0,1.0};
static double Weights[12]={2.0/3.0,2.0/9.0,2.0/9.0,2.0/3.0,
1.0/3.0,1.0/9.0,1.0/9.0,1.0/3.0,
1.0,1.0/3.0,1.0/3.0,1.0};
// NURBS representation of a sphere using 10 distinct control points
// K. Qin, J. Comp. Sci. and Tech. 12, 210-216 (1997).
triple N,S,P1,P2,P3,P4,P5,P6,P7,P8;
P(N,0.0,0.0,1.0);
P(P1,-2.0,-2.0,1.0);
P(P2,-2.0,-2.0,-1.0);
P(S,0.0,0.0,-1.0);
P(P3,2.0,-2.0,1.0);
P(P4,2.0,-2.0,-1.0);
P(P5,2.0,2.0,1.0);
P(P6,2.0,2.0,-1.0);
P(P7,-2.0,2.0,1.0);
P(P8,-2.0,2.0,-1.0);
triple p0[]={N,P1,P2,S,
N,P3,P4,S,
N,P5,P6,S,
N,P7,P8,S,
N,P1,P2,S,
N,P3,P4,S};
out->addSurface(2,3,3,4,p0,uknot,vknot,m,Weights);
out->addSurface(2,3,3,4,p0+4,uknot,vknot,m,Weights);
if(!half) {
out->addSurface(2,3,3,4,p0+8,uknot,vknot,m,Weights);
out->addSurface(2,3,3,4,p0+12,uknot,vknot,m,Weights);
}
break;
}
default:
reportError("Invalid sphere type");
}
return true;
}
bool drawCylinder::write(prcfile *out, unsigned int *, double, groupsmap&)
{
if(invisible)
return true;
PRCmaterial m(ambient,diffuse,emissive,specular,opacity,shininess);
out->addCylinder(1.0,1.0,m,NULL,NULL,NULL,1.0,T);
return true;
}
bool drawDisk::write(prcfile *out, unsigned int *, double, groupsmap&)
{
if(invisible)
return true;
PRCmaterial m(ambient,diffuse,emissive,specular,opacity,shininess);
out->addDisk(1.0,m,NULL,NULL,NULL,1.0,T);
return true;
}
bool drawTube::write(prcfile *out, unsigned int *, double, groupsmap&)
{
if(invisible)
return true;
PRCmaterial m(ambient,diffuse,emissive,specular,opacity,shininess);
Int n=center.length();
if(center.piecewisestraight()) {
triple *centerControls=new(UseGC) triple[n+1];
for(Int i=0; i <= n; ++i)
centerControls[i]=center.point(i);
size_t N=n+1;
triple *controls=new(UseGC) triple[N];
for(Int i=0; i <= n; ++i)
controls[i]=g.point(i);
out->addTube(N,centerControls,controls,true,m);
} else {
size_t N=3*n+1;
triple *centerControls=new(UseGC) triple[N];
centerControls[0]=center.point((Int) 0);
centerControls[1]=center.postcontrol((Int) 0);
size_t k=1;
for(Int i=1; i < n; ++i) {
centerControls[++k]=center.precontrol(i);
centerControls[++k]=center.point(i);
centerControls[++k]=center.postcontrol(i);
}
centerControls[++k]=center.precontrol(n);
centerControls[++k]=center.point(n);
triple *controls=new(UseGC) triple[N];
controls[0]=g.point((Int) 0);
controls[1]=g.postcontrol((Int) 0);
k=1;
for(Int i=1; i < n; ++i) {
controls[++k]=g.precontrol(i);
controls[++k]=g.point(i);
controls[++k]=g.postcontrol(i);
}
controls[++k]=g.precontrol(n);
controls[++k]=g.point(n);
out->addTube(N,centerControls,controls,false,m);
}
return true;
}
bool drawPixel::write(prcfile *out, unsigned int *, double, groupsmap&)
{
if(invisible)
return true;
out->addPoint(v,c,width);
return true;
}
void drawPixel::render(GLUnurbs *nurb, double size2,
const triple& Min, const triple& Max,
double perspective, bool lighton, bool transparent)
{
#ifdef HAVE_GL
if(invisible)
return;
GLfloat V[4];
glEnable(GL_COLOR_MATERIAL);
glColorMaterial(GL_FRONT_AND_BACK,GL_EMISSION);
static GLfloat Black[]={0,0,0,1};
glMaterialfv(GL_FRONT_AND_BACK,GL_DIFFUSE,Black);
glMaterialfv(GL_FRONT_AND_BACK,GL_AMBIENT,Black);
glMaterialfv(GL_FRONT_AND_BACK,GL_SPECULAR,Black);
glMaterialf(GL_FRONT_AND_BACK,GL_SHININESS,0.0);
glPointSize(1.0+width);
glBegin(GL_POINT);
storecolor(V,0,c);
glColor4fv(V);
store(V,v);
glVertex3fv(V);
glEnd();
glPointSize(1.0);
glDisable(GL_COLOR_MATERIAL);
#endif
}
const string drawBaseTriangles::wrongsize=
"triangle indices require 3 components";
const string drawBaseTriangles::outofrange="index out of range";
void drawBaseTriangles::bounds(const double* t, bbox3& b)
{
double x,y,z;
double X,Y,Z;
triple* tP;
if(t == NULL) tP=P;
else {
tP=new triple[nP];
for(size_t i=0; i < nP; i++)
tP[i]=t*P[i];
}
boundstriples(x,y,z,X,Y,Z,nP,tP);
b.add(x,y,z);
b.add(X,Y,Z);
if(t == NULL) {
Min=triple(x,y,z);
Max=triple(X,Y,Z);
} else delete[] tP;
}
void drawBaseTriangles::ratio(const double* t, pair &b,
double (*m)(double, double), double fuzz,
bool &first)