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LORENZ.C
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C/C++ Source or Header
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1992-02-19
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46KB
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1,718 lines
/*
This file contains two 3 dimensional orbit-type fractal
generators - IFS and LORENZ3D, along with code to generate
red/blue 3D images. Tim Wegner
*/
#include <stdio.h>
#include <stdlib.h>
#include <float.h>
#include <math.h>
#include "fractint.h"
#include "fractype.h"
struct affine
{
/* weird order so a,b,e and c,d,f are vectors */
double a;
double b;
double e;
double c;
double d;
double f;
};
struct l_affine
{
/* weird order so a,b,e and c,d,f are vectors */
long a;
long b;
long e;
long c;
long d;
long f;
};
struct long3dvtinf /* data used by 3d view transform subroutine */
{
long ct; /* iteration counter */
long orbit[3]; /* interated function orbit value */
long iview[3]; /* perspective viewer's coordinates */
long viewvect[3]; /* orbit transformed for viewing */
long viewvect1[3]; /* orbit transformed for viewing */
long maxvals[3];
long minvals[3];
MATRIX doublemat; /* transformation matrix */
MATRIX doublemat1; /* transformation matrix */
long longmat[4][4]; /* long version of matrix */
long longmat1[4][4]; /* long version of matrix */
int row,col; /* results */
int row1,col1;
struct l_affine cvt;
};
struct float3dvtinf /* data used by 3d view transform subroutine */
{
long ct; /* iteration counter */
double orbit[3]; /* interated function orbit value */
double viewvect[3]; /* orbit transformed for viewing */
double viewvect1[3]; /* orbit transformed for viewing */
double maxvals[3];
double minvals[3];
MATRIX doublemat; /* transformation matrix */
MATRIX doublemat1; /* transformation matrix */
int row,col; /* results */
int row1,col1;
struct affine cvt;
};
/* Routines in this module */
int orbit3dlongsetup();
int orbit3dfloatsetup();
int lorenz3dlongorbit(long *, long *, long *);
int lorenz3dfloatorbit(double *, double *, double *);
int lorenz3d1floatorbit(double *, double *, double *);
int lorenz3d3floatorbit(double *, double *, double *);
int lorenz3d4floatorbit(double *, double *, double *);
int henonfloatorbit(double *, double *, double *);
int henonlongorbit(long *, long *, long *);
int rosslerfloatorbit(double *, double *, double *);
int pickoverfloatorbit(double *, double *, double *);
int gingerbreadfloatorbit(double *, double *, double *);
int rosslerlongorbit(long *, long *, long *);
int kamtorusfloatorbit(double *, double *, double *);
int kamtoruslongorbit(long *, long *, long *);
int orbit2dfloat(void);
int orbit2dlong(void);
int orbit3dlongcalc(void);
int orbit3dfloatcalc(void);
int funny_glasses_call(int (*calc)());
int ifs(void);
int orbit3dfloat(void);
int orbit3dlong(void);
int ifs2d(void);
int ifs3d(void);
static int ifs3dlong(void);
static int ifs3dfloat(void);
static double determinant(double mat[3][3]);
static int solve3x3(double mat[3][3],double vec[3],double ans[3]);
static int setup_convert_to_screen(struct affine *);
static int l_setup_convert_to_screen(struct l_affine *);
static void setupmatrix(MATRIX);
static int long3dviewtransf(struct long3dvtinf *inf);
static int float3dviewtransf(struct float3dvtinf *inf);
static FILE *open_orbitsave();
static int realtime;
extern int orbitsave;
static char orbitsavename[] = {"orbits.raw"};
static char orbitsave_format[] = {"%g %g %g 15\n"};
extern int active_system;
extern int overflow;
extern int soundflag;
extern int basehertz;
extern int fractype;
extern int glassestype;
extern int whichimage;
extern int init3d[];
extern char floatflag;
extern VECTOR view;
extern int xxadjust, yyadjust;
extern int xxadjust1, yyadjust1;
extern int xshift,yshift;
extern int xshift1,yshift1;
extern int debugflag; /* for debugging purposes */
extern int xdots, ydots; /* coordinates of dots on the screen */
extern int maxit; /* try this many iterations */
extern double param[];
extern double xxmin,xxmax,yymin,yymax,xx3rd,yy3rd; /* selected screen corners */
extern int diskvideo; /* for disk-video klooges */
extern int bitshift; /* bit shift for fudge */
extern long fudge; /* fudge factor (2**n) */
extern int colors; /* maximum colors available */
extern int display3d;
extern float far *ifs_defn;
extern int ifs_type;
static int t;
static long l_dx,l_dy,l_dz,l_dt,l_a,l_b,l_c,l_d;
static long l_adt,l_bdt,l_cdt,l_xdt,l_ydt;
static long l_initx,l_inity,l_initz;
static long initorbitlong[3];
static double dx,dy,dz,dt,a,b,c,d;
static double adt,bdt,cdt,xdt,ydt,zdt;
static double initx,inity,initz;
static double initorbit[3];
extern int inside;
extern int alloc_resume(int,int);
extern int start_resume();
extern void end_resume();
extern int put_resume(int len, ...);
extern int get_resume(int len, ...);
extern int calc_status, resuming;
extern int diskisactive;
extern char savename[];
/* these are potential user parameters */
int connect = 1; /* flag to connect points with a line */
int waste = 100; /* waste this many points before plotting */
int projection = 2; /* projection plane - default is to plot x-y */
/******************************************************************/
/* zoom box conversion functions */
/******************************************************************/
static double determinant(mat) /* determinant of 3x3 matrix */
double mat[3][3];
{
/* calculate determinant of 3x3 matrix */
return(mat[0][0]*mat[1][1]*mat[2][2] +
mat[0][2]*mat[1][0]*mat[2][1] +
mat[0][1]*mat[1][2]*mat[2][0] -
mat[2][0]*mat[1][1]*mat[0][2] -
mat[1][0]*mat[0][1]*mat[2][2] -
mat[0][0]*mat[1][2]*mat[2][1]);
}
static int solve3x3(mat,vec,ans) /* solve 3x3 inhomogeneous linear equations */
double mat[3][3], vec[3], ans[3];
{
/* solve 3x3 linear equation [mat][ans] = [vec] */
double denom;
double tmp[3][3];
int i;
denom = determinant(mat);
if(fabs(denom) < DBL_EPSILON) /* test if can solve */
return(-1);
memcpy(tmp,mat,sizeof(double)*9);
for(i=0;i<3;i++)
{
tmp[0][i] = vec[0];
tmp[1][i] = vec[1];
tmp[2][i] = vec[2];
ans[i] = determinant(tmp)/denom;
tmp[0][i] = mat[0][i];
tmp[1][i] = mat[1][i];
tmp[2][i] = mat[2][i];
}
return(0);
}
/* Conversion of complex plane to screen coordinates for rotating zoom box.
Assume there is an affine transformation mapping complex zoom parallelogram
to rectangular screen. We know this map must map parallelogram corners to
screen corners, so we have following equations:
a*xxmin+b*yymax+e == 0 (upper left)
c*xxmin+d*yymax+f == 0
a*xx3rd+b*yy3rd+e == 0 (lower left)
c*xx3rd+d*yy3rd+f == ydots-1
a*xxmax+b*yymin+e == xdots-1 (lower right)
c*xxmax+d*yymin+f == ydots-1
First we must solve for a,b,c,d,e,f - (which we do once per image),
then we just apply the transformation to each orbit value.
*/
static int setup_convert_to_screen(struct affine *scrn_cnvt)
{
/* we do this twice - rather than having six equations with six unknowns,
everything partitions to two sets of three equations with three
unknowns. Nice, because who wants to calculate a 6x6 determinant??
*/
double mat[3][3];
double vec[3];
/*
first these equations - solve for a,b,e
a*xxmin+b*yymax+e == 0 (upper left)
a*xx3rd+b*yy3rd+e == 0 (lower left)
a*xxmax+b*yymin+e == xdots-1 (lower right)
*/
mat[0][0] = xxmin;
mat[0][1] = yymax;
mat[0][2] = 1.0;
mat[1][0] = xx3rd;
mat[1][1] = yy3rd;
mat[1][2] = 1.0;
mat[2][0] = xxmax;
mat[2][1] = yymin;
mat[2][2] = 1.0;
vec[0] = 0.0;
vec[1] = 0.0;
vec[2] = (double)(xdots-1);
if(solve3x3(mat,vec, &(scrn_cnvt->a)))
return(-1);
/*
now solve these:
c*xxmin+d*yymax+f == 0
c*xx3rd+d*yy3rd+f == ydots-1
c*xxmax+d*yymin+f == ydots-1
(mat[][] has not changed - only vec[])
*/
vec[0] = 0.0;
vec[1] = (double)(ydots-1);
vec[2] = (double)(ydots-1);
if(solve3x3(mat,vec, &scrn_cnvt->c))
return(-1);
return(0);
}
static int l_setup_convert_to_screen(struct l_affine *l_cvt)
{
struct affine cvt;
/* MCP 7-7-91, This function should return a something! */
if(setup_convert_to_screen(&cvt))
return(-1);
l_cvt->a = cvt.a*fudge; l_cvt->b = cvt.b*fudge; l_cvt->c = cvt.c*fudge;
l_cvt->d = cvt.d*fudge; l_cvt->e = cvt.e*fudge; l_cvt->f = cvt.f*fudge;
/* MCP 7-7-91 */
return(0);
}
/******************************************************************/
/* setup functions - put in fractalspecific[fractype].per_image */
/******************************************************************/
static double orbit;
static long l_orbit;
extern double sinx,cosx;
static long l_sinx,l_cosx;
int orbit3dlongsetup()
{
connect = 1;
waste = 100;
projection = 2;
if(fractype==LHENON || fractype==KAM || fractype==KAM3D)
connect=0;
if(fractype==LROSSLER)
waste = 500;
if(fractype==LLORENZ)
projection = 1;
initorbitlong[0] = fudge; /* initial conditions */
initorbitlong[1] = fudge;
initorbitlong[2] = fudge;
if(fractype==LHENON)
{
l_a = param[0]*fudge;
l_b = param[1]*fudge;
l_c = param[2]*fudge;
l_d = param[3]*fudge;
}
else if(fractype==KAM || fractype==KAM3D)
{
a = param[0]; /* angle */
if(param[1] <= 0.0)
param[1] = .01;
l_b = param[1]*fudge; /* stepsize */
l_c = param[2]*fudge; /* stop */
t = l_d = param[3]; /* points per orbit */
l_sinx = sin(a)*fudge;
l_cosx = cos(a)*fudge;
l_orbit = 0;
initorbitlong[0] = initorbitlong[1] = initorbitlong[2] = 0;
}
else
{
l_dt = param[0]*fudge;
l_a = param[1]*fudge;
l_b = param[2]*fudge;
l_c = param[3]*fudge;
}
/* precalculations for speed */
l_adt = multiply(l_a,l_dt,bitshift);
l_bdt = multiply(l_b,l_dt,bitshift);
l_cdt = multiply(l_c,l_dt,bitshift);
return(1);
}
int orbit3dfloatsetup()
{
connect = 1;
waste = 100;
projection = 2;
if(fractype==FPHENON || fractype==FPPICKOVER || fractype==FPGINGERBREAD
|| fractype == KAMFP || fractype == KAM3DFP
|| fractype == FPHOPALONG)
connect=0;
if(fractype==FPLORENZ3D1 || fractype==FPLORENZ3D3 ||
fractype==FPLORENZ3D4)
waste = 750;
if(fractype==FPROSSLER)
waste = 500;
if(fractype==FPLORENZ)
projection = 1; /* plot x and z */
initorbit[0] = 1; /* initial conditions */
initorbit[1] = 1;
initorbit[2] = 1;
if(fractype==FPGINGERBREAD)
{
initorbit[0] = param[0]; /* initial conditions */
initorbit[1] = param[1];
}
if(fractype==FPHENON || fractype==FPPICKOVER)
{
a = param[0];
b = param[1];
c = param[2];
d = param[3];
}
else if(fractype==KAMFP || fractype==KAM3DFP)
{
a = param[0]; /* angle */
if(param[1] <= 0.0)
param[1] = .01;
b = param[1]; /* stepsize */
c = param[2]; /* stop */
t = l_d = param[3]; /* points per orbit */
sinx = sin(a);
cosx = cos(a);
orbit = 0;
initorbit[0] = initorbit[1] = initorbit[2] = 0;
} else if(fractype==FPHOPALONG || fractype==FPMARTIN)
{
initorbit[0] = 0; /* initial conditions */
initorbit[1] = 0;
initorbit[2] = 0;
connect = 0;
a = param[0];
b = param[1];
c = param[2];
d = param[3];
} else
{
dt = param[0];
a = param[1];
b = param[2];
c = param[3];
}
/* precalculations for speed */
adt = a*dt;
bdt = b*dt;
cdt = c*dt;
return(1);
}
/******************************************************************/
/* orbit functions - put in fractalspecific[fractype].orbitcalc */
/******************************************************************/
int lorenz3dlongorbit(long *l_x, long *l_y, long *l_z)
{
l_xdt = multiply(*l_x,l_dt,bitshift);
l_ydt = multiply(*l_y,l_dt,bitshift);
l_dx = -multiply(l_adt,*l_x,bitshift) + multiply(l_adt,*l_y,bitshift);
l_dy = multiply(l_bdt,*l_x,bitshift) -l_ydt -multiply(*l_z,l_xdt,bitshift);
l_dz = -multiply(l_cdt,*l_z,bitshift) + multiply(*l_x,l_ydt,bitshift);
*l_x += l_dx;
*l_y += l_dy;
*l_z += l_dz;
return(0);
}
int lorenz3d1floatorbit(double *x, double *y, double *z)
{
double norm;
xdt = (*x)*dt;
ydt = (*y)*dt;
zdt = (*z)*dt;
/* 1-lobe Lorenz */
norm = sqrt((*x)*(*x)+(*y)*(*y));
dx = (-adt-dt)*(*x) + (adt-bdt)*(*y) + (dt-adt)*norm + ydt*(*z);
dy = (bdt-adt)*(*x) - (adt+dt)*(*y) + (bdt+adt)*norm - xdt*(*z) -
norm*zdt;
dz = (ydt/2) - cdt*(*z);
*x += dx;
*y += dy;
*z += dz;
return(0);
}
int lorenz3dfloatorbit(double *x, double *y, double *z)
{
xdt = (*x)*dt;
ydt = (*y)*dt;
zdt = (*z)*dt;
/* 2-lobe Lorenz (the original) */
dx = -adt*(*x) + adt*(*y);
dy = bdt*(*x) - ydt - (*z)*xdt;
dz = -cdt*(*z) + (*x)*ydt;
*x += dx;
*y += dy;
*z += dz;
return(0);
}
int lorenz3d3floatorbit(double *x, double *y, double *z)
{
double norm;
xdt = (*x)*dt;
ydt = (*y)*dt;
zdt = (*z)*dt;
/* 3-lobe Lorenz */
norm = sqrt((*x)*(*x)+(*y)*(*y));
dx = (-(adt+dt)*(*x) + (adt-bdt+zdt)*(*y)) / 3 +
((dt-adt)*((*x)*(*x)-(*y)*(*y)) +
2*(bdt+adt-zdt)*(*x)*(*y))/(3*norm);
dy = ((bdt-adt-zdt)*(*x) - (adt+dt)*(*y)) / 3 +
(2*(adt-dt)*(*x)*(*y) +
(bdt+adt-zdt)*((*x)*(*x)-(*y)*(*y)))/(3*norm);
dz = (3*xdt*(*x)*(*y)-ydt*(*y)*(*y))/2 - cdt*(*z);
*x += dx;
*y += dy;
*z += dz;
return(0);
}
int lorenz3d4floatorbit(double *x, double *y, double *z)
{
xdt = (*x)*dt;
ydt = (*y)*dt;
zdt = (*z)*dt;
/* 4-lobe Lorenz */
dx = (-adt*(*x)*(*x)*(*x) + (2*adt+bdt-zdt)*(*x)*(*x)*(*y) +
(adt-2*dt)*(*x)*(*y)*(*y) + (zdt-bdt)*(*y)*(*y)*(*y)) /
(2 * ((*x)*(*x)+(*y)*(*y)));
dy = ((bdt-zdt)*(*x)*(*x)*(*x) + (adt-2*dt)*(*x)*(*x)*(*y) +
(-2*adt-bdt+zdt)*(*x)*(*y)*(*y) - adt*(*y)*(*y)*(*y)) /
(2 * ((*x)*(*x)+(*y)*(*y)));
dz = (2*xdt*(*x)*(*x)*(*y) - 2*xdt*(*y)*(*y)*(*y) - cdt*(*z));
*x += dx;
*y += dy;
*z += dz;
return(0);
}
int henonfloatorbit(double *x, double *y, double *z)
{
double newx,newy;
newx = 1 + *y - a*(*x)*(*x);
newy = b*(*x);
*x = newx;
*y = newy;
return(0);
}
int henonlongorbit(long *l_x, long *l_y, long *l_z)
{
long newx,newy;
newx = multiply(*l_x,*l_x,bitshift);
newx = multiply(newx,l_a,bitshift);
newx = fudge + *l_y - newx;
newy = multiply(l_b,*l_x,bitshift);
*l_x = newx;
*l_y = newy;
return(0);
}
int rosslerfloatorbit(double *x, double *y, double *z)
{
xdt = (*x)*dt;
ydt = (*y)*dt;
dx = -ydt - (*z)*dt;
dy = xdt + (*y)*adt;
dz = bdt + (*z)*xdt - (*z)*cdt;
*x += dx;
*y += dy;
*z += dz;
return(0);
}
int pickoverfloatorbit(double *x, double *y, double *z)
{
double newx,newy,newz;
newx = sin(a*(*y)) - (*z)*cos(b*(*x));
newy = (*z)*sin(c*(*x)) - cos(d*(*y));
newz = sin(*x);
*x = newx;
*y = newy;
*z = newz;
return(0);
}
/* page 149 "Science of Fractal Images" */
int gingerbreadfloatorbit(double *x, double *y, double *z)
{
double newx;
newx = 1 - (*y) + fabs(*x);
*y = *x;
*x = newx;
return(0);
}
int rosslerlongorbit(long *l_x, long *l_y, long *l_z)
{
l_xdt = multiply(*l_x,l_dt,bitshift);
l_ydt = multiply(*l_y,l_dt,bitshift);
l_dx = -l_ydt - multiply(*l_z,l_dt,bitshift);
l_dy = l_xdt + multiply(*l_y,l_adt,bitshift);
l_dz = l_bdt + multiply(*l_z,l_xdt,bitshift)
- multiply(*l_z,l_cdt,bitshift);
*l_x += l_dx;
*l_y += l_dy;
*l_z += l_dz;
return(0);
}
/* OSTEP = Orbit Step (and inner orbit value) */
/* NTURNS = Outside Orbit */
/* TURN2 = Points per orbit */
/* a = Angle */
int kamtorusfloatorbit(double *r, double *s, double *z)
{
double srr;
if(t++ >= l_d)
{
orbit += b;
(*r) = (*s) = orbit/3;
t = 0;
*z = orbit;
if(orbit > c)
return(1);
}
srr = (*s)-(*r)*(*r);
(*s)=(*r)*sinx+srr*cosx;
(*r)=(*r)*cosx-srr*sinx;
return(0);
}
int kamtoruslongorbit(long *r, long *s, long *z)
{
long srr;
if(t++ >= l_d)
{
l_orbit += l_b;
(*r) = (*s) = l_orbit/3;
t = 0;
*z = l_orbit;
if(l_orbit > l_c)
return(1);
}
srr = (*s)-multiply((*r),(*r),bitshift);
(*s)=multiply((*r),l_sinx,bitshift)+multiply(srr,l_cosx,bitshift);
(*r)=multiply((*r),l_cosx,bitshift)-multiply(srr,l_sinx,bitshift);
return(0);
}
/*#define sign(x) ((x)>0?1:((x)<0?(-1):0))*/
#define sign(x) ((x)>=0?1:-1)
int hopalong2dfloatorbit(double *x, double *y, double *z)
{
double tmp;
tmp = *y - sign(*x)*sqrt(fabs(b*(*x)-c));
*y = a - *x;
*x = tmp;
return(0);
}
int martin2dfloatorbit(double *x, double *y, double *z)
{
double tmp;
tmp = *y - sin(*x);
*y = a - *x;
*x = tmp;
return(0);
}
/**********************************************************************/
/* Main fractal engines - put in fractalspecific[fractype].calctype */
/**********************************************************************/
int orbit2dfloat()
{
FILE *fp;
double *soundvar;
double x,y,z;
int color,col,row;
int count;
int oldrow, oldcol;
double *p0,*p1,*p2;
struct affine cvt;
int ret;
fp = open_orbitsave();
/* setup affine screen coord conversion */
setup_convert_to_screen(&cvt);
/* set up projection scheme */
if(projection==0)
{
p0 = &z;
p1 = &x;
p2 = &y;
}
else if(projection==1)
{
p0 = &x;
p1 = &z;
p2 = &y;
}
else if(projection==2)
{
p0 = &x;
p1 = &y;
p2 = &z;
}
if(soundflag==1)
soundvar = &x;
else if(soundflag==2)
soundvar = &y;
else if(soundflag==3)
soundvar = &z;
count = 0;
if(inside > 0)
color = inside;
if(color >= colors)
color = 1;
oldcol = oldrow = -1;
x = initorbit[0];
y = initorbit[1];
z = initorbit[2];
if (resuming)
{
start_resume();
get_resume(sizeof(count),&count,sizeof(color),&color,
sizeof(oldrow),&oldrow,sizeof(oldcol),&oldcol,
sizeof(x),&x,sizeof(y),&y,sizeof(z),&z,
sizeof(t),&t,sizeof(orbit),&orbit,
0);
end_resume();
}
ret = 0;
while(1)
{
if(check_key())
{
nosnd();
alloc_resume(100,1);
put_resume(sizeof(count),&count,sizeof(color),&color,
sizeof(oldrow),&oldrow,sizeof(oldcol),&oldcol,
sizeof(x),&x,sizeof(y),&y,sizeof(z),&z,
sizeof(t),&t,sizeof(orbit),&orbit,
0);
ret = -1;
break;
}
if (++count > 1000)
{ /* time to switch colors? */
count = 0;
if (++color >= colors) /* another color to switch to? */
color = 1; /* (don't use the background color) */
}
col = cvt.a*x + cvt.b*y + cvt.e;
row = cvt.c*x + cvt.d*y + cvt.f;
if ( col >= 0 && col < xdots && row >= 0 && row < ydots )
{
if (soundflag > 0)
snd((int)(*soundvar*100+basehertz));
if(oldcol != -1 && connect)
draw_line(col,row,oldcol,oldrow,color&(colors-1));
else
(*plot)(col,row,color&(colors-1));
oldcol = col;
oldrow = row;
}
else
oldrow = oldcol = -1;
if(curfractalspecific->orbitcalc(p0, p1, p2))
break;
if(fp)
fprintf(fp,orbitsave_format,*p0,*p1,0.0);
}
if(fp)
fclose(fp);
return(ret);
}
int orbit2dlong()
{
FILE *fp;
long *soundvar;
long x,y,z;
int color,col,row;
int count;
int oldrow, oldcol;
long *p0,*p1,*p2;
struct l_affine cvt;
int ret;
fp = open_orbitsave();
/* setup affine screen coord conversion */
l_setup_convert_to_screen(&cvt);
/* set up projection scheme */
if(projection==0)
{
p0 = &z;
p1 = &x;
p2 = &y;
}
else if(projection==1)
{
p0 = &x;
p1 = &z;
p2 = &y;
}
else if(projection==2)
{
p0 = &x;
p1 = &y;
p2 = &z;
}
if(soundflag==1)
soundvar = &x;
else if(soundflag==2)
soundvar = &y;
else if(soundflag==3)
soundvar = &z;
count = 0;
if(inside > 0)
color = inside;
if(color >= colors)
color = 1;
oldcol = oldrow = -1;
x = initorbitlong[0];
y = initorbitlong[1];
z = initorbitlong[2];
if (resuming)
{
start_resume();
get_resume(sizeof(count),&count,sizeof(color),&color,
sizeof(oldrow),&oldrow,sizeof(oldcol),&oldcol,
sizeof(x),&x,sizeof(y),&y,sizeof(z),&z,
sizeof(t),&t,sizeof(l_orbit),&l_orbit,
0);
end_resume();
}
ret = 0;
while(1)
{
if(check_key())
{
nosnd();
alloc_resume(100,1);
put_resume(sizeof(count),&count,sizeof(color),&color,
sizeof(oldrow),&oldrow,sizeof(oldcol),&oldcol,
sizeof(x),&x,sizeof(y),&y,sizeof(z),&z,
sizeof(t),&t,sizeof(l_orbit),&l_orbit,
0);
ret = -1;
break;
}
if (++count > 1000)
{ /* time to switch colors? */
count = 0;
if (++color >= colors) /* another color to switch to? */
color = 1; /* (don't use the background color) */
}
col = (multiply(cvt.a,x,bitshift) + multiply(cvt.b,y,bitshift) + cvt.e) >> bitshift;
row = (multiply(cvt.c,x,bitshift) + multiply(cvt.d,y,bitshift) + cvt.f) >> bitshift;
if ( col >= 0 && col < xdots && row >= 0 && row < ydots )
{
if (soundflag > 0)
{
double yy;
yy = *soundvar;
yy = yy/fudge;
snd((int)(yy*100+basehertz));
}
if(oldcol != -1 && connect)
draw_line(col,row,oldcol,oldrow,color&(colors-1));
else
(*plot)(col,row,color&(colors-1));
oldcol = col;
oldrow = row;
}
else
oldrow = oldcol = -1;
/* Calculate the next point */
if(curfractalspecific->orbitcalc(p0, p1, p2))
break;
if(fp)
fprintf(fp,orbitsave_format,(double)*p0/fudge,(double)*p1/fudge,0.0);
}
if(fp)
fclose(fp);
return(ret);
}
int orbit3dlongcalc()
{
FILE *fp;
unsigned count;
int oldcol,oldrow;
int oldcol1,oldrow1;
struct long3dvtinf inf;
unsigned long maxct;
int color;
int ret;
/* setup affine screen coord conversion */
l_setup_convert_to_screen(&inf.cvt);
oldcol1 = oldrow1 = oldcol = oldrow = -1;
color = 2;
if(color >= colors)
color = 1;
inf.orbit[0] = initorbitlong[0];
inf.orbit[1] = initorbitlong[1];
inf.orbit[2] = initorbitlong[2];
if(diskvideo) /* this would KILL a disk drive! */
{
notdiskmsg();
return(-1);
}
fp = open_orbitsave();
/* make maxct a function of screen size */
maxct = maxit*40L;
count = inf.ct = 0L;
ret = 0;
while(inf.ct++ < maxct) /* loop until keypress or maxit */
{
/* calc goes here */
if (++count > 1000)
{ /* time to switch colors? */
count = 0;
if (++color >= colors) /* another color to switch to? */
color = 1; /* (don't use the background color) */
}
if(check_key())
{
nosnd();
ret = -1;
break;
}
curfractalspecific->orbitcalc(&inf.orbit[0],&inf.orbit[1],&inf.orbit[2]);
if(fp)
fprintf(fp,orbitsave_format,(double)inf.orbit[0]/fudge,(double)inf.orbit[1]/fudge,(double)inf.orbit[2]/fudge);
if (long3dviewtransf(&inf))
{
/* plot if inside window */
if (inf.col >= 0)
{
if(realtime)
whichimage=1;
if (soundflag > 0)
{
double yy;
yy = inf.viewvect[soundflag-1];
yy = yy/fudge;
snd((int)(yy*100+basehertz));
}
if(oldcol != -1 && connect)
draw_line(inf.col,inf.row,oldcol,oldrow,color&(colors-1));
else
(*plot)(inf.col,inf.row,color&(colors-1));
}
oldcol = inf.col;
oldrow = inf.row;
if(realtime)
{
whichimage=2;
/* plot if inside window */
if (inf.col1 >= 0)
{
if(oldcol1 != -1 && connect)
draw_line(inf.col1,inf.row1,oldcol1,oldrow1,color&(colors-1));
else
(*plot)(inf.col1,inf.row1,color&(colors-1));
}
oldcol1 = inf.col1;
oldrow1 = inf.row1;
}
}
}
if(fp)
fclose(fp);
return(ret);
}
int orbit3dfloatcalc()
{
FILE *fp;
unsigned count;
int oldcol,oldrow;
int oldcol1,oldrow1;
extern int init3d[];
unsigned long maxct;
int color;
int ret;
struct float3dvtinf inf;
/* setup affine screen coord conversion */
setup_convert_to_screen(&inf.cvt);
oldcol = oldrow = -1;
oldcol1 = oldrow1 = -1;
color = 2;
if(color >= colors)
color = 1;
inf.orbit[0] = initorbit[0];
inf.orbit[1] = initorbit[1];
inf.orbit[2] = initorbit[2];
if(diskvideo) /* this would KILL a disk drive! */
{
notdiskmsg();
return(-1);
}
fp = open_orbitsave();
maxct = maxit*40L;
count = inf.ct = 0L;
ret = 0;
while(inf.ct++ < maxct) /* loop until keypress or maxit */
{
/* calc goes here */
if (++count > 1000)
{ /* time to switch colors? */
count = 0;
if (++color >= colors) /* another color to switch to? */
color = 1; /* (don't use the background color) */
}
if(check_key())
{
nosnd();
ret = -1;
break;
}
curfractalspecific->orbitcalc(&inf.orbit[0],&inf.orbit[1],&inf.orbit[2]);
if(fp)
fprintf(fp,orbitsave_format,inf.orbit[0],inf.orbit[1],inf.orbit[2]);
if (float3dviewtransf(&inf))
{
/* plot if inside window */
if (inf.col >= 0)
{
if(realtime)
whichimage=1;
if (soundflag > 0)
snd((int)(inf.viewvect[soundflag-1]*100+basehertz));
if(oldcol != -1 && connect)
draw_line(inf.col,inf.row,oldcol,oldrow,color&(colors-1));
else
(*plot)(inf.col,inf.row,color&(colors-1));
}
oldcol = inf.col;
oldrow = inf.row;
if(realtime)
{
whichimage=2;
/* plot if inside window */
if (inf.col1 >= 0)
{
if(oldcol1 != -1 && connect)
draw_line(inf.col1,inf.row1,oldcol1,oldrow1,color&(colors-1));
else
(*plot)(inf.col1,inf.row1,color&(colors-1));
}
oldcol1 = inf.col1;
oldrow1 = inf.row1;
}
}
}
if(fp)
fclose(fp);
return(ret);
}
/* this function's only purpose is to manage funnyglasses related */
/* stuff so the code is not duplicated for ifs3d() and lorenz3d() */
int funny_glasses_call(int (*calc)())
{
int status;
status = 0;
if(glassestype)
whichimage = 1;
else
whichimage = 0;
plot_setup();
plot = standardplot;
status = calc();
if(realtime && glassestype != 3)
{
realtime = 0;
return(status);
}
if(glassestype && status == 0 && display3d)
{
if(glassestype==3) /* photographer's mode */
if(active_system == 0) { /* dos version */
int i;
static char far firstready[]={"\
First image (left eye) is ready. Hit any key to see it,\n\
then hit <s> to save, hit any other key to create second image."};
stopmsg(16,firstready);
while ((i = getakey()) == 's' || i == 'S') {
diskisactive = 1;
savetodisk(savename);
diskisactive = 0;
}
/* is there a better way to clear the screen in graphics mode? */
setvideomode(videoentry.videomodeax,
videoentry.videomodebx,
videoentry.videomodecx,
videoentry.videomodedx);
}
else { /* Windows version */
static char far firstready2[]={"First (Left Eye) image is complete"};
stopmsg(0,firstready2);
clear_screen();
}
whichimage = 2;
plot_setup();
plot = standardplot;
/* is there a better way to clear the graphics screen ? */
if(status = calc())
return(status);
if(glassestype==3) /* photographer's mode */
if(active_system == 0) { /* dos version */
static char far secondready[]={"Second image (right eye) is ready"};
stopmsg(16,secondready);
}
}
return(status);
}
/* double version - mainly for testing */
static int ifs3dfloat()
{
FILE *fp;
unsigned long maxct;
int color;
double newx,newy,newz,r,sum;
int k;
int ret;
struct float3dvtinf inf;
float far *ffptr;
/* setup affine screen coord conversion */
setup_convert_to_screen(&inf.cvt);
srand(1);
if(diskvideo) /* this would KILL a disk drive! */
{
notdiskmsg();
return(-1);
}
inf.orbit[0] = 0;
inf.orbit[1] = 0;
inf.orbit[2] = 0;
fp = open_orbitsave();
maxct = maxit*40L;
inf.ct = 0L;
ret = 0;
while(inf.ct++ < maxct) /* loop until keypress or maxit */
{
if( check_key() ) /* keypress bails out */
{
ret = -1;
break;
}
r = rand15(); /* generate fudged random number between 0 and 1 */
r /= 32767;
/* pick which iterated function to execute, weighted by probability */
sum = ifs_defn[12]; /* [0][12] */
k = 0;
while ( sum < r)
{
k++;
sum += ifs_defn[k*IFS3DPARM+12];
if (ifs_defn[(k+1)*IFS3DPARM+12] == 0) break; /* for safety */
}
/* calculate image of last point under selected iterated function */
ffptr = ifs_defn + k*IFS3DPARM; /* point to first parm in row */
newx = *ffptr * inf.orbit[0] +
*(ffptr+1) * inf.orbit[1] +
*(ffptr+2) * inf.orbit[2] + *(ffptr+9);
newy = *(ffptr+3) * inf.orbit[0] +
*(ffptr+4) * inf.orbit[1] +
*(ffptr+5) * inf.orbit[2] + *(ffptr+10);
newz = *(ffptr+6) * inf.orbit[0] +
*(ffptr+7) * inf.orbit[1] +
*(ffptr+8) * inf.orbit[2] + *(ffptr+11);
inf.orbit[0] = newx;
inf.orbit[1] = newy;
inf.orbit[2] = newz;
if(fp)
fprintf(fp,orbitsave_format,newx,newy,newz);
if (float3dviewtransf(&inf))
{
/* plot if inside window */
if (inf.col >= 0)
{
if(realtime)
whichimage=1;
color = getcolor(inf.col,inf.row)+1;
if( color < colors ) /* color sticks on last value */
(*plot)(inf.col,inf.row,color);
}
if(realtime)
{
whichimage=2;
/* plot if inside window */
if (inf.col1 >= 0)
{
color = getcolor(inf.col1,inf.row1)+1;
if( color < colors ) /* color sticks on last value */
(*plot)(inf.col1,inf.row1,color);
}
}
}
} /* end while */
if(fp)
fclose(fp);
return(ret);
}
int ifs() /* front-end for ifs2d and ifs3d */
{
if (ifs_defn == NULL && ifsload() < 0)
return(-1);
if (diskvideo) { /* this would KILL a disk drive! */
notdiskmsg();
return(-1);
}
return((ifs_type == 0) ? ifs2d() : ifs3d());
}
int ifs2d() /* IFS logic shamelessly converted to integer math */
{
FILE *fp;
unsigned long maxct,ct;
int col;
int row;
int color;
int ret;
long localifs[NUMIFS][7]; /* local IFS values */
long x,y,newx,newy,r,sum, tempr;
int i,j,k;
struct l_affine cvt;
/* setup affine screen coord conversion */
l_setup_convert_to_screen(&cvt);
srand(1);
for (i = 0; i < NUMIFS; i++) /* fill in the local IFS array */
for (j = 0; j < IFSPARM; j++)
localifs[i][j] = ifs_defn[i*IFSPARM+j] * fudge;
tempr = fudge / 32767; /* find the proper rand() fudge */
fp = open_orbitsave();
/* make maxct a function of screen size */
/* 1k times maxit at EGA resolution seems about right */
maxct = (float)maxit*(1024.0*xdots*ydots)/(640.0*350.0);
ct = 0L;
x = y = 0;
ret = 0;
while(ct++ < maxct) /* loop until keypress or maxit */
{
if( check_key() ) /* keypress bails out */
{
ret = -1;
break;
}
r = rand15(); /* generate fudged random number between 0 and 1 */
r *= tempr;
/* pick which iterated function to execute, weighted by probability */
sum = localifs[0][6];
k = 0;
while ( sum < r)
{
k++;
sum += localifs[k][6];
if (localifs[k+1][6] == 0) break; /* for safety */
}
/* calculate image of last point under selected iterated function */
newx = multiply(localifs[k][0], x, bitshift) +
multiply(localifs[k][1], y, bitshift) +
localifs[k][4];
newy = multiply(localifs[k][2], x, bitshift) +
multiply(localifs[k][3], y, bitshift) +
localifs[k][5];
x = newx;
y = newy;
if(fp)
fprintf(fp,orbitsave_format,(double)newx/fudge,(double)newy/fudge,0.0);
/* plot if inside window */
col = (multiply(cvt.a,x,bitshift) + multiply(cvt.b,y,bitshift) + cvt.e) >> bitshift;
row = (multiply(cvt.c,x,bitshift) + multiply(cvt.d,y,bitshift) + cvt.f) >> bitshift;
if ( col >= 0 && col < xdots && row >= 0 && row < ydots )
{
/* color is count of hits on this pixel */
color = getcolor(col,row)+1;
if( color < colors ) /* color sticks on last value */
(*plot)(col,row,color);
}
}
if(fp)
fclose(fp);
return(ret);
}
static int ifs3dlong()
{
FILE *fp;
extern int init3d[];
unsigned long maxct;
int color;
int ret;
long localifs[NUMIFS][IFS3DPARM]; /* local IFS values */
long newx,newy,newz,r,sum, tempr;
int i,j,k;
struct long3dvtinf inf;
srand(1);
/* setup affine screen coord conversion */
l_setup_convert_to_screen(&inf.cvt);
for (i = 0; i < NUMIFS; i++) /* fill in the local IFS array */
for (j = 0; j < IFS3DPARM; j++)
localifs[i][j] = ifs_defn[i*IFS3DPARM+j] * fudge;
tempr = fudge / 32767; /* find the proper rand() fudge */
inf.orbit[0] = 0;
inf.orbit[1] = 0;
inf.orbit[2] = 0;
fp = open_orbitsave();
maxct = maxit*40L;
inf.ct = 0L;
ret = 0;
while(inf.ct++ < maxct) /* loop until keypress or maxit */
{
if( check_key() ) /* keypress bails out */
{
ret = -1;
break;
}
r = rand15(); /* generate fudged random number between 0 and 1 */
r *= tempr;
/* pick which iterated function to execute, weighted by probability */
sum = localifs[0][12];
k = 0;
while ( sum < r)
{
k++;
sum += localifs[k][12];
if (localifs[k+1][12] == 0) break; /* for safety */
}
/* calculate image of last point under selected iterated function */
newx = multiply(localifs[k][0], inf.orbit[0], bitshift) +
multiply(localifs[k][1], inf.orbit[1], bitshift) +
multiply(localifs[k][2], inf.orbit[2], bitshift) + localifs[k][9];
newy = multiply(localifs[k][3], inf.orbit[0], bitshift) +
multiply(localifs[k][4], inf.orbit[1], bitshift) +
multiply(localifs[k][5], inf.orbit[2], bitshift) + localifs[k][10];
newz = multiply(localifs[k][6], inf.orbit[0], bitshift) +
multiply(localifs[k][7], inf.orbit[1], bitshift) +
multiply(localifs[k][8], inf.orbit[2], bitshift) + localifs[k][11];
inf.orbit[0] = newx;
inf.orbit[1] = newy;
inf.orbit[2] = newz;
if(fp)
fprintf(fp,orbitsave_format,(double)newx/fudge,(double)newy/fudge,(double)newz/fudge);
if (long3dviewtransf(&inf))
{
/* plot if inside window */
if (inf.col >= 0)
{
if(realtime)
whichimage=1;
color = getcolor(inf.col,inf.row)+1;
if( color < colors ) /* color sticks on last value */
(*plot)(inf.col,inf.row,color);
}
if(realtime)
{
whichimage=2;
/* plot if inside window */
if (inf.col1 >= 0)
{
color = getcolor(inf.col1,inf.row1)+1;
if( color < colors ) /* color sticks on last value */
(*plot)(inf.col1,inf.row1,color);
}
}
}
}
if(fp)
fclose(fp);
return(ret);
}
static void setupmatrix(MATRIX doublemat)
{
/* build transformation matrix */
identity (doublemat);
/* apply rotations - uses the same rotation variables as line3d.c */
xrot ((double)XROT / 57.29577,doublemat);
yrot ((double)YROT / 57.29577,doublemat);
zrot ((double)ZROT / 57.29577,doublemat);
/* apply scale */
/* scale((double)XSCALE/100.0,(double)YSCALE/100.0,(double)ROUGH/100.0,doublemat);*/
}
int orbit3dfloat()
{
display3d = -1;
if(0 < glassestype && glassestype < 3)
realtime = 1;
else
realtime = 0;
return(funny_glasses_call(orbit3dfloatcalc));
}
int orbit3dlong()
{
display3d = -1;
if(0 < glassestype && glassestype < 3)
realtime = 1;
else
realtime = 0;
return(funny_glasses_call(orbit3dlongcalc));
}
int ifs3d()
{
display3d = -1;
if(0 < glassestype && glassestype < 3)
realtime = 1;
else
realtime = 0;
if(floatflag)
return(funny_glasses_call(ifs3dfloat)); /* double version of ifs3d */
else
return(funny_glasses_call(ifs3dlong)); /* long version of ifs3d */
}
static int long3dviewtransf(struct long3dvtinf *inf)
{
int i,j;
double tmpx, tmpy, tmpz;
long tmp;
if (inf->ct == 1) /* initialize on first call */
{
for(i=0;i<3;i++)
{
inf->minvals[i] = 1L << 30;
inf->maxvals[i] = -inf->minvals[i];
}
setupmatrix(inf->doublemat);
if(realtime)
setupmatrix(inf->doublemat1);
/* copy xform matrix to long for for fixed point math */
for (i = 0; i < 4; i++)
for (j = 0; j < 4; j++)
{
inf->longmat[i][j] = inf->doublemat[i][j] * fudge;
if(realtime)
inf->longmat1[i][j] = inf->doublemat1[i][j] * fudge;
}
}
/* 3D VIEWING TRANSFORM */
longvmult(inf->orbit,inf->longmat,inf->viewvect,bitshift);
if(realtime)
longvmult(inf->orbit,inf->longmat1,inf->viewvect1,bitshift);
if(inf->ct <= waste) /* waste this many points to find minz and maxz */
{
/* find minz and maxz */
for(i=0;i<3;i++)
if ((tmp = inf->viewvect[i]) < inf->minvals[i])
inf->minvals[i] = tmp;
else if (tmp > inf->maxvals[i])
inf->maxvals[i] = tmp;
if(inf->ct == waste) /* time to work it out */
{
inf->iview[0] = inf->iview[1] = 0L; /* center viewer on origin */
/* z value of user's eye - should be more negative than extreme
negative part of image */
inf->iview[2] = (long)((inf->minvals[2]-inf->maxvals[2])*(double)ZVIEWER/100.0);
/* center image on origin */
tmpx = (-inf->minvals[0]-inf->maxvals[0])/(2.0*fudge); /* center x */
tmpy = (-inf->minvals[1]-inf->maxvals[1])/(2.0*fudge); /* center y */
/* apply perspective shift */
tmpx += ((double)xshift*(xxmax-xxmin))/(xdots);
tmpy += ((double)yshift*(yymax-yymin))/(ydots);
tmpz = -((double)inf->maxvals[2]) / fudge;
trans(tmpx,tmpy,tmpz,inf->doublemat);
if(realtime)
{
/* center image on origin */
tmpx = (-inf->minvals[0]-inf->maxvals[0])/(2.0*fudge); /* center x */
tmpy = (-inf->minvals[1]-inf->maxvals[1])/(2.0*fudge); /* center y */
tmpx += ((double)xshift1*(xxmax-xxmin))/(xdots);
tmpy += ((double)yshift1*(yymax-yymin))/(ydots);
tmpz = -((double)inf->maxvals[2]) / fudge;
trans(tmpx,tmpy,tmpz,inf->doublemat1);
}
for(i=0;i<3;i++)
view[i] = (double)inf->iview[i] / fudge;
/* copy xform matrix to long for for fixed point math */
for (i = 0; i < 4; i++)
for (j = 0; j < 4; j++)
{
inf->longmat[i][j] = inf->doublemat[i][j] * fudge;
if(realtime)
inf->longmat1[i][j] = inf->doublemat1[i][j] * fudge;
}
}
return(0);
}
/* inf->ct > waste */
/* apply perspective if requested */
if(ZVIEWER)
{
if(debugflag==22 || ZVIEWER < 100) /* use float for small persp */
{
/* use float perspective calc */
VECTOR tmpv;
for(i=0;i<3;i++)
tmpv[i] = (double)inf->viewvect[i] / fudge;
perspective(tmpv);
for(i=0;i<3;i++)
inf->viewvect[i] = tmpv[i]*fudge;
if(realtime)
{
for(i=0;i<3;i++)
tmpv[i] = (double)inf->viewvect1[i] / fudge;
perspective(tmpv);
for(i=0;i<3;i++)
inf->viewvect1[i] = tmpv[i]*fudge;
}
}
else
{
longpersp(inf->viewvect,inf->iview,bitshift);
if(realtime)
longpersp(inf->viewvect1,inf->iview,bitshift);
}
}
/* work out the screen positions */
inf->row = ((multiply(inf->cvt.c,inf->viewvect[0],bitshift) +
multiply(inf->cvt.d,inf->viewvect[1],bitshift) + inf->cvt.f)
>> bitshift)
+ yyadjust;
inf->col = ((multiply(inf->cvt.a,inf->viewvect[0],bitshift) +
multiply(inf->cvt.b,inf->viewvect[1],bitshift) + inf->cvt.e)
>> bitshift)
+ xxadjust;
if (inf->col < 0 || inf->col >= xdots || inf->row < 0 || inf->row >= ydots)
inf->col = inf->row = -1;
if(realtime)
{
inf->row1 = ((multiply(inf->cvt.c,inf->viewvect1[0],bitshift) +
multiply(inf->cvt.d,inf->viewvect1[1],bitshift) +
inf->cvt.f) >> bitshift)
+ yyadjust1;
inf->col1 = ((multiply(inf->cvt.a,inf->viewvect1[0],bitshift) +
multiply(inf->cvt.b,inf->viewvect1[1],bitshift) +
inf->cvt.e) >> bitshift)
+ xxadjust1;
if (inf->col1 < 0 || inf->col1 >= xdots || inf->row1 < 0 || inf->row1 >= ydots)
inf->col1 = inf->row1 = -1;
}
return(1);
}
static int float3dviewtransf(struct float3dvtinf *inf)
{
int i;
double tmpx, tmpy, tmpz;
double tmp;
if (inf->ct == 1) /* initialize on first call */
{
for(i=0;i<3;i++)
{
inf->minvals[i] = 100000.0; /* impossible value */
inf->maxvals[i] = -100000.0;
}
setupmatrix(inf->doublemat);
if(realtime)
setupmatrix(inf->doublemat1);
}
/* 3D VIEWING TRANSFORM */
vmult(inf->orbit,inf->doublemat,inf->viewvect );
if(realtime)
vmult(inf->orbit,inf->doublemat1,inf->viewvect1);
if(inf->ct <= waste) /* waste this many points to find minz and maxz */
{
/* find minz and maxz */
for(i=0;i<3;i++)
if ((tmp = inf->viewvect[i]) < inf->minvals[i])
inf->minvals[i] = tmp;
else if (tmp > inf->maxvals[i])
inf->maxvals[i] = tmp;
if(inf->ct == waste) /* time to work it out */
{
view[0] = view[1] = 0; /* center on origin */
/* z value of user's eye - should be more negative than extreme
negative part of image */
view[2] = (inf->minvals[2]-inf->maxvals[2])*(double)ZVIEWER/100.0;
/* center image on origin */
tmpx = (-inf->minvals[0]-inf->maxvals[0])/(2.0); /* center x */
tmpy = (-inf->minvals[1]-inf->maxvals[1])/(2.0); /* center y */
/* apply perspective shift */
tmpx += ((double)xshift*(xxmax-xxmin))/(xdots);
tmpy += ((double)yshift*(yymax-yymin))/(ydots);
tmpz = -(inf->maxvals[2]);
trans(tmpx,tmpy,tmpz,inf->doublemat);
if(realtime)
{
/* center image on origin */
tmpx = (-inf->minvals[0]-inf->maxvals[0])/(2.0); /* center x */
tmpy = (-inf->minvals[1]-inf->maxvals[1])/(2.0); /* center y */
tmpx += ((double)xshift1*(xxmax-xxmin))/(xdots);
tmpy += ((double)yshift1*(yymax-yymin))/(ydots);
tmpz = -(inf->maxvals[2]);
trans(tmpx,tmpy,tmpz,inf->doublemat1);
}
}
return(0);
}
/* inf->ct > waste */
/* apply perspective if requested */
if(ZVIEWER)
{
perspective(inf->viewvect);
if(realtime)
perspective(inf->viewvect1);
}
inf->row = inf->cvt.c*inf->viewvect[0] + inf->cvt.d*inf->viewvect[1]
+ inf->cvt.f + yyadjust;
inf->col = inf->cvt.a*inf->viewvect[0] + inf->cvt.b*inf->viewvect[1]
+ inf->cvt.e + xxadjust;
if (inf->col < 0 || inf->col >= xdots || inf->row < 0 || inf->row >= ydots)
inf->col = inf->row = -1;
if(realtime)
{
inf->row1 = inf->cvt.c*inf->viewvect1[0] + inf->cvt.d*inf->viewvect1[1]
+ inf->cvt.f + yyadjust1;
inf->col1 = inf->cvt.a*inf->viewvect1[0] + inf->cvt.b*inf->viewvect1[1]
+ inf->cvt.e + xxadjust1;
if (inf->col1 < 0 || inf->col1 >= xdots || inf->row1 < 0 || inf->row1 >= ydots)
inf->col1 = inf->row1 = -1;
}
return(1);
}
static FILE *open_orbitsave()
{
FILE *fp;
if (orbitsave && (fp = fopen(orbitsavename,"w")))
{
fprintf(fp,"pointlist x y z color\n");
return fp;
}
return NULL;
}