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#ifndef lint
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static const char RCSid[] = "$Id: genrev.c,v 2.13 2019/12/07 02:21:42 greg Exp $";
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#endif
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/*
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* genrev.c - program to generate functions of rotation about z
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*
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* The program takes as input the functions of t for z and r
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* (the radius). If z is increasing, the normal points
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* outward, inward for decreasing z. Negative radii are forbidden.
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*
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* 8/6/86
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*/
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#include <stdlib.h>
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#include <math.h>
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#include "rtio.h"
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#include "rterror.h"
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#include "resolu.h"
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#include "calcomp.h"
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#define ZNAME "Z`SYS`" /* z function name */
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#define RNAME "R`SYS`" /* r function name */
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#define PI 3.14159265358979323846
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#define FTINY 1e-9
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/* orientation */
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#define OUT 01
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#define IN 02
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#define UP 04
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#define DOWN 010
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void
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computen(nzp, nrp, z0, r0, z1, r1) /* compute normal */
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double *nzp, *nrp, z0, r0, z1, r1;
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{
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double dr, dz, len;
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dz = r0 - r1; /* right angle vector */
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dr = z1 - z0;
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len = sqrt(dr*dr + dz*dz);
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*nzp = dz/len;
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*nrp = dr/len;
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}
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double
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l_hermite(char *nm)
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{
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double t;
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t = argument(5);
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return( argument(1)*((2.0*t-3.0)*t*t+1.0) +
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argument(2)*(-2.0*t+3.0)*t*t +
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argument(3)*((t-2.0)*t+1.0)*t +
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argument(4)*(t-1.0)*t*t );
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}
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double
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l_bezier(char *nm)
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{
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double t;
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t = argument(5);
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return( argument(1) * (1.+t*(-3.+t*(3.-t))) +
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argument(2) * 3.*t*(1.+t*(-2.+t)) +
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argument(3) * 3.*t*t*(1.-t) +
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argument(4) * t*t*t );
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}
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double
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l_bspline(char *nm)
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{
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double t;
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t = argument(5);
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return( argument(1) * (1./6.+t*(-1./2.+t*(1./2.-1./6.*t))) +
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argument(2) * (2./3.+t*t*(-1.+1./2.*t)) +
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argument(3) * (1./6.+t*(1./2.+t*(1./2.-1./2.*t))) +
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argument(4) * (1./6.*t*t*t) );
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}
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int
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main(argc, argv)
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int argc;
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char *argv[];
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{
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char stmp[256];
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char *modname;
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int smooth = 0;
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double t, lastz, z, nextz, lastr, r, nextr;
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double lastnz, lastnr, nz, nr, nextnz, nextnr;
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int i, nseg;
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int orient;
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esupport |= E_VARIABLE|E_FUNCTION|E_RCONST;
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esupport &= ~(E_OUTCHAN|E_INCHAN);
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varset("PI", ':', PI);
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funset("hermite", 5, ':', l_hermite);
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funset("bezier", 5, ':', l_bezier);
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funset("bspline", 5, ':', l_bspline);
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if (argc < 6)
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goto userror;
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for (i = 6; i < argc; i++)
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if (!strcmp(argv[i], "-e"))
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scompile(argv[++i], NULL, 0);
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else if (!strcmp(argv[i], "-f")) {
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char *fpath = getpath(argv[++i], getrlibpath(), 0);
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if (fpath == NULL) {
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fprintf(stderr, "%s: cannot find file '%s'\n",
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argv[0], argv[i]);
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quit(1);
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}
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fcompile(fpath);
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} else if (!strcmp(argv[i], "-s"))
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smooth = 1;
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else
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goto userror;
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sprintf(stmp, "%s(t)=%s;", ZNAME, argv[3]);
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scompile(stmp, NULL, 0);
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sprintf(stmp, "%s(t)=%s;", RNAME, argv[4]);
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scompile(stmp, NULL, 0);
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nseg = eval(argv[5]) + .5;
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if (nseg <= 0)
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goto userror;
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modname = smooth ? "Phong" : argv[1];
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fputs("# ", stdout);
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printargs(argc, argv, stdout);
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eclock = 0;
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lastnz = lastnr = 0.0;
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t = 0.0;
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lastz = funvalue(ZNAME, 1, &t);
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lastr = funvalue(RNAME, 1, &t);
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t = 1.0/nseg;
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z = funvalue(ZNAME, 1, &t);
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r = funvalue(RNAME, 1, &t);
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computen(&nz, &nr, lastz, lastr, z, r);
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for (i = 1; i <= nseg; i++) {
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if (i < nseg) {
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t = (double)(i+1)/nseg;
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nextz = funvalue(ZNAME, 1, &t);
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nextr = funvalue(RNAME, 1, &t);
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computen(&nextnz, &nextnr, z, r, nextz, nextr);
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} else
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nextnz = nextnr = 0.0;
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orient = 0;
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if (z < lastz-FTINY)
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orient |= DOWN;
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else if (z > lastz+FTINY)
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orient |= UP;
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if (r < lastr-FTINY)
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orient |= IN;
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else if (r > lastr+FTINY)
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orient |= OUT;
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if (!orient)
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goto endfor;
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if (smooth) {
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printf("\n%s texfunc Phong\n", argv[1]);
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printf("4 rev_dx rev_dy rev_dz rev.cal\n");
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printf("0\n4\n");
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if (orient&(UP|DOWN)) {
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t = (nextnz - lastnz)/(z - lastz);
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printf("\t%18.12g\t%18.12g\n",
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t, lastnz - t*lastz);
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} else
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printf("\t0\t%d\n", orient&IN ? 1 : -1);
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if (orient&(OUT|IN)) {
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t = (nextnr - lastnr)/(r - lastr);
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printf("\t%18.12g\t%18.12g\n",
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t, lastnr - t*lastr);
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} else
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printf("\t0\t%d\n", orient&UP ? 1 : -1);
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}
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if (!(orient&(IN|OUT))) {
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printf("\n%s %s %s.%d\n", modname,
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orient&DOWN ? "tube" : "cylinder",
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argv[2], i);
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printf("0\n0\n7\n");
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printf("\t0\t0\t%18.12g\n", lastz);
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printf("\t0\t0\t%18.12g\n", z);
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printf("\t%18.12g\n", r);
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} else if (!(orient&(UP|DOWN))) {
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printf("\n%s ring %s.%d\n", modname, argv[2], i);
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printf("0\n0\n8\n");
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printf("\t0\t0\t%18.12g\n", z);
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printf("\t0\t0\t%18.12g\n", orient&IN ? 1.0 : -1.0);
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printf("\t%18.12g\t%18.12g\n", lastr, r);
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} else {
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printf("\n%s %s %s.%d\n", modname,
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orient&DOWN ? "cup" : "cone",
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argv[2], i);
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printf("0\n0\n8\n");
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printf("\t0\t0\t%18.12g\n", lastz);
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printf("\t0\t0\t%18.12g\n", z);
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printf("\t%18.12g\t%18.12g\n", lastr, r);
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}
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endfor:
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lastz = z; lastr = r;
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z = nextz; r = nextr;
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lastnz = nz; lastnr = nr;
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nz = nextnz; nr = nextnr;
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}
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return 0;
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userror:
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fprintf(stderr,
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"Usage: %s material name z(t) r(t) nseg [-e expr] [-f file] [-s]\n",
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argv[0]);
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return 1;
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}
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