src/gen/genrev.c

#ifndef lint
static const char       RCSid[] = "$Id: genrev.c,v 2.12 2018/05/04 23:56:49 greg Exp $";
#endif
/*
 *  genrev.c - program to generate functions of rotation about z
 *
 *      The program takes as input the functions of t for z and r
 *      (the radius).  If z is increasing, the normal points
 *      outward, inward for decreasing z.  Negative radii are forbidden.
 *
 *      8/6/86
 */

#include  <stdlib.h>
#include  <stdio.h>
#include  <string.h>
#include  <math.h>

#include  "rtio.h"
#include  "rterror.h"
#include  "resolu.h"
#include  "calcomp.h"

#define  ZNAME          "Z`SYS`"                /* z function name */
#define  RNAME          "R`SYS`"                /* r function name */

#define  PI             3.14159265358979323846

#define  FTINY          1e-9
                                        /* orientation */
#define  OUT            01
#define  IN             02
#define  UP             04
#define  DOWN           010


void
computen(nzp, nrp, z0, r0, z1, r1)              /* compute normal */
double  *nzp, *nrp, z0, r0, z1, r1;
{
        double  dr, dz, len;

        dz = r0 - r1;                           /* right angle vector */
        dr = z1 - z0;
        len = sqrt(dr*dr + dz*dz);
        *nzp = dz/len;
        *nrp = dr/len;
}


double
l_hermite(char *nm)
{
        double  t;
        
        t = argument(5);
        return( argument(1)*((2.0*t-3.0)*t*t+1.0) +
                argument(2)*(-2.0*t+3.0)*t*t +
                argument(3)*((t-2.0)*t+1.0)*t +
                argument(4)*(t-1.0)*t*t );
}


double
l_bezier(char *nm)
{
        double  t;

        t = argument(5);
        return( argument(1) * (1.+t*(-3.+t*(3.-t))) +
                argument(2) * 3.*t*(1.+t*(-2.+t)) +
                argument(3) * 3.*t*t*(1.-t) +
                argument(4) * t*t*t );
}


double
l_bspline(char *nm)
{
        double  t;

        t = argument(5);
        return( argument(1) * (1./6.+t*(-1./2.+t*(1./2.-1./6.*t))) +
                argument(2) * (2./3.+t*t*(-1.+1./2.*t)) +
                argument(3) * (1./6.+t*(1./2.+t*(1./2.-1./2.*t))) +
                argument(4) * (1./6.*t*t*t) );
}


int
main(argc, argv)
int  argc;
char  *argv[];
{
        char  stmp[256];
        char  *modname;
        int  smooth = 0;
        double  t, lastz, z, nextz, lastr, r, nextr;
        double  lastnz, lastnr, nz, nr, nextnz, nextnr;
        int  i, nseg;
        int  orient;

        esupport |= E_VARIABLE|E_FUNCTION|E_RCONST;
        esupport &= ~(E_OUTCHAN|E_INCHAN);
        varset("PI", ':', PI);
        funset("hermite", 5, ':', l_hermite);
        funset("bezier", 5, ':', l_bezier);
        funset("bspline", 5, ':', l_bspline);

        if (argc < 6)
                goto userror;

        for (i = 6; i < argc; i++)
                if (!strcmp(argv[i], "-e"))
                        scompile(argv[++i], NULL, 0);
                else if (!strcmp(argv[i], "-f")) {
                        char  *fpath = getpath(argv[++i], getrlibpath(), 0);
                        if (fpath == NULL) {
                                fprintf(stderr, "%s: cannot find file '%s'\n",
                                                argv[0], argv[i]);
                                quit(1);
                        }
                        fcompile(fpath);
                } else if (!strcmp(argv[i], "-s"))
                        smooth = 1;
                else
                        goto userror;

        sprintf(stmp, "%s(t)=%s;", ZNAME, argv[3]);
        scompile(stmp, NULL, 0);
        sprintf(stmp, "%s(t)=%s;", RNAME, argv[4]);
        scompile(stmp, NULL, 0);
        nseg = eval(argv[5]) + .5;
        if (nseg <= 0)
                goto userror;
        modname = smooth ? "Phong" : argv[1];

        fputs("# ", stdout);
        printargs(argc, argv, stdout);
        eclock = 0;

        lastnz = lastnr = 0.0;
        t = 0.0;
        lastz = funvalue(ZNAME, 1, &t);
        lastr = funvalue(RNAME, 1, &t);
        t = 1.0/nseg;
        z = funvalue(ZNAME, 1, &t);
        r = funvalue(RNAME, 1, &t);
        computen(&nz, &nr, lastz, lastr, z, r);
        for (i = 1; i <= nseg; i++) {
                if (i < nseg) {
                        t = (double)(i+1)/nseg;
                        nextz = funvalue(ZNAME, 1, &t);
                        nextr = funvalue(RNAME, 1, &t);
                        computen(&nextnz, &nextnr, z, r, nextz, nextr);
                } else
                        nextnz = nextnr = 0.0;
                orient = 0;
                if (z < lastz-FTINY)
                        orient |= DOWN;
                else if (z > lastz+FTINY)
                        orient |= UP;
                if (r < lastr-FTINY)
                        orient |= IN;
                else if (r > lastr+FTINY)
                        orient |= OUT;
                if (!orient)
                        goto endfor;
                if (smooth) {
                        printf("\n%s texfunc Phong\n", argv[1]);
                        printf("4 rev_dx rev_dy rev_dz rev.cal\n");
                        printf("0\n4\n");
                        if (orient&(UP|DOWN)) {
                                t = (nextnz - lastnz)/(z - lastz);
                                printf("\t%18.12g\t%18.12g\n",
                                                t, lastnz - t*lastz);
                        } else
                                printf("\t0\t%d\n", orient&IN ? 1 : -1);
                        if (orient&(OUT|IN))  {
                                t = (nextnr - lastnr)/(r - lastr);
                                printf("\t%18.12g\t%18.12g\n",
                                                t, lastnr - t*lastr);
                        } else
                                printf("\t0\t%d\n", orient&UP ? 1 : -1);
                }
                if (!(orient&(IN|OUT))) {
                        printf("\n%s %s %s.%d\n", modname,
                                        orient&DOWN ? "tube" : "cylinder",
                                        argv[2], i);
                        printf("0\n0\n7\n");
                        printf("\t0\t0\t%18.12g\n", lastz);
                        printf("\t0\t0\t%18.12g\n", z);
                        printf("\t%18.12g\n", r);
                } else if (!(orient&(UP|DOWN))) {
                        printf("\n%s ring %s.%d\n", modname, argv[2], i);
                        printf("0\n0\n8\n");
                        printf("\t0\t0\t%18.12g\n", z);
                        printf("\t0\t0\t%18.12g\n", orient&IN ? 1.0 : -1.0);
                        printf("\t%18.12g\t%18.12g\n", lastr, r);
                } else {
                        printf("\n%s %s %s.%d\n", modname,
                                        orient&DOWN ? "cup" : "cone",
                                        argv[2], i);
                        printf("0\n0\n8\n");
                        printf("\t0\t0\t%18.12g\n", lastz);
                        printf("\t0\t0\t%18.12g\n", z);
                        printf("\t%18.12g\t%18.12g\n", lastr, r);
                }
        endfor:
                lastz = z; lastr = r;
                z = nextz; r = nextr;
                lastnz = nz; lastnr = nr;
                nz = nextnz; nr = nextnr;
        }
        return 0;

userror:
        fprintf(stderr,
        "Usage: %s material name z(t) r(t) nseg [-e expr] [-f file] [-s]\n",
                        argv[0]);
        return 1;
}


Revision:	2.13
Committed:	Sat Dec 7 02:21:42 2019 UTC (4 years, 4 months ago) by greg
Content type:	text/plain
Branch:	MAIN
Changes since 2.12:	+2 -2 lines
Log Message:	Changed gen{worm,surf,rev} to accept expressions for number of segments
#	User	Rev	Content
1	greg	1.1	#ifndef lint
2	greg	2.13	static const char RCSid[] = "$Id: genrev.c,v 2.12 2018/05/04 23:56:49 greg Exp $";
3	greg	1.1	#endif
4	greg	1.2	/*
5	greg	1.1	* genrev.c - program to generate functions of rotation about z
6			*
7			* The program takes as input the functions of t for z and r
8			* (the radius). If z is increasing, the normal points
9			* outward, inward for decreasing z. Negative radii are forbidden.
10			*
11			* 8/6/86
12			*/
13
14	schorsch	2.5	#include <stdlib.h>
15	greg	1.1	#include <stdio.h>
16	schorsch	2.5	#include <string.h>
17	greg	2.2	#include <math.h>
18	schorsch	2.7
19	greg	2.12	#include "rtio.h"
20	schorsch	2.7	#include "rterror.h"
21	greg	2.8	#include "resolu.h"
22	greg	2.6	#include "calcomp.h"
23	greg	1.1
24	greg	1.10	#define ZNAME "Z`SYS`" /* z function name */
25			#define RNAME "R`SYS`" /* r function name */
26	greg	1.1
27			#define PI 3.14159265358979323846
28
29			#define FTINY 1e-9
30			/* orientation */
31			#define OUT 01
32			#define IN 02
33			#define UP 04
34			#define DOWN 010
35
36
37	schorsch	2.7	void
38	schorsch	2.5	computen(nzp, nrp, z0, r0, z1, r1) /* compute normal */
39			double nzp, nrp, z0, r0, z1, r1;
40			{
41			double dr, dz, len;
42
43			dz = r0 - r1; /* right angle vector */
44			dr = z1 - z0;
45			len = sqrt(drdr + dzdz);
46			*nzp = dz/len;
47			*nrp = dr/len;
48			}
49
50
51			double
52	greg	2.6	l_hermite(char *nm)
53	schorsch	2.5	{
54			double t;
55
56			t = argument(5);
57			return( argument(1)((2.0t-3.0)tt+1.0) +
58			argument(2)(-2.0t+3.0)tt +
59			argument(3)((t-2.0)t+1.0)*t +
60			argument(4)(t-1.0)t*t );
61			}
62
63
64			double
65	greg	2.6	l_bezier(char *nm)
66	schorsch	2.5	{
67			double t;
68
69			t = argument(5);
70			return( argument(1) * (1.+t(-3.+t(3.-t))) +
71			argument(2) * 3.t(1.+t*(-2.+t)) +
72			argument(3) * 3.tt*(1.-t) +
73			argument(4) * ttt );
74			}
75
76
77			double
78	greg	2.6	l_bspline(char *nm)
79	schorsch	2.5	{
80			double t;
81
82			t = argument(5);
83			return( argument(1) * (1./6.+t(-1./2.+t(1./2.-1./6.*t))) +
84			argument(2) * (2./3.+tt(-1.+1./2.*t)) +
85			argument(3) * (1./6.+t(1./2.+t(1./2.-1./2.*t))) +
86			argument(4) * (1./6.tt*t) );
87			}
88
89
90	schorsch	2.7	int
91	greg	1.1	main(argc, argv)
92			int argc;
93			char *argv[];
94			{
95			char stmp[256];
96			char *modname;
97			int smooth = 0;
98			double t, lastz, z, nextz, lastr, r, nextr;
99			double lastnz, lastnr, nz, nr, nextnz, nextnr;
100			int i, nseg;
101			int orient;
102
103	greg	2.11	esupport \|= E_VARIABLE\|E_FUNCTION\|E_RCONST;
104			esupport &= ~(E_OUTCHAN\|E_INCHAN);
105	greg	1.8	varset("PI", ':', PI);
106	greg	1.9	funset("hermite", 5, ':', l_hermite);
107			funset("bezier", 5, ':', l_bezier);
108			funset("bspline", 5, ':', l_bspline);
109	greg	1.1
110			if (argc < 6)
111			goto userror;
112
113			for (i = 6; i < argc; i++)
114			if (!strcmp(argv[i], "-e"))
115	greg	1.7	scompile(argv[++i], NULL, 0);
116	greg	2.12	else if (!strcmp(argv[i], "-f")) {
117			char *fpath = getpath(argv[++i], getrlibpath(), 0);
118			if (fpath == NULL) {
119			fprintf(stderr, "%s: cannot find file '%s'\n",
120			argv[0], argv[i]);
121			quit(1);
122			}
123			fcompile(fpath);
124			} else if (!strcmp(argv[i], "-s"))
125	greg	1.1	smooth = 1;
126			else
127			goto userror;
128
129			sprintf(stmp, "%s(t)=%s;", ZNAME, argv[3]);
130	greg	1.7	scompile(stmp, NULL, 0);
131	greg	1.1	sprintf(stmp, "%s(t)=%s;", RNAME, argv[4]);
132	greg	1.7	scompile(stmp, NULL, 0);
133	greg	2.13	nseg = eval(argv[5]) + .5;
134	greg	1.1	if (nseg <= 0)
135			goto userror;
136	greg	1.3	modname = smooth ? "Phong" : argv[1];
137	greg	1.1
138	greg	2.8	fputs("# ", stdout);
139			printargs(argc, argv, stdout);
140	greg	1.6	eclock = 0;
141	greg	1.1
142			lastnz = lastnr = 0.0;
143			t = 0.0;
144			lastz = funvalue(ZNAME, 1, &t);
145			lastr = funvalue(RNAME, 1, &t);
146			t = 1.0/nseg;
147			z = funvalue(ZNAME, 1, &t);
148			r = funvalue(RNAME, 1, &t);
149			computen(&nz, &nr, lastz, lastr, z, r);
150			for (i = 1; i <= nseg; i++) {
151			if (i < nseg) {
152			t = (double)(i+1)/nseg;
153			nextz = funvalue(ZNAME, 1, &t);
154			nextr = funvalue(RNAME, 1, &t);
155			computen(&nextnz, &nextnr, z, r, nextz, nextr);
156			} else
157			nextnz = nextnr = 0.0;
158			orient = 0;
159			if (z < lastz-FTINY)
160			orient \|= DOWN;
161			else if (z > lastz+FTINY)
162			orient \|= UP;
163			if (r < lastr-FTINY)
164			orient \|= IN;
165			else if (r > lastr+FTINY)
166			orient \|= OUT;
167			if (!orient)
168			goto endfor;
169			if (smooth) {
170	greg	1.3	printf("\n%s texfunc Phong\n", argv[1]);
171	greg	1.1	printf("4 rev_dx rev_dy rev_dz rev.cal\n");
172			printf("0\n4\n");
173			if (orient&(UP\|DOWN)) {
174			t = (nextnz - lastnz)/(z - lastz);
175	greg	2.9	printf("\t%18.12g\t%18.12g\n",
176	greg	1.1	t, lastnz - t*lastz);
177			} else
178			printf("\t0\t%d\n", orient&IN ? 1 : -1);
179			if (orient&(OUT\|IN)) {
180			t = (nextnr - lastnr)/(r - lastr);
181	greg	2.9	printf("\t%18.12g\t%18.12g\n",
182	greg	1.1	t, lastnr - t*lastr);
183			} else
184			printf("\t0\t%d\n", orient&UP ? 1 : -1);
185			}
186			if (!(orient&(IN\|OUT))) {
187			printf("\n%s %s %s.%d\n", modname,
188			orient&DOWN ? "tube" : "cylinder",
189			argv[2], i);
190			printf("0\n0\n7\n");
191	greg	2.9	printf("\t0\t0\t%18.12g\n", lastz);
192			printf("\t0\t0\t%18.12g\n", z);
193			printf("\t%18.12g\n", r);
194	greg	1.1	} else if (!(orient&(UP\|DOWN))) {
195			printf("\n%s ring %s.%d\n", modname, argv[2], i);
196			printf("0\n0\n8\n");
197	greg	2.9	printf("\t0\t0\t%18.12g\n", z);
198			printf("\t0\t0\t%18.12g\n", orient&IN ? 1.0 : -1.0);
199			printf("\t%18.12g\t%18.12g\n", lastr, r);
200	greg	1.1	} else {
201			printf("\n%s %s %s.%d\n", modname,
202			orient&DOWN ? "cup" : "cone",
203			argv[2], i);
204			printf("0\n0\n8\n");
205	greg	2.9	printf("\t0\t0\t%18.12g\n", lastz);
206			printf("\t0\t0\t%18.12g\n", z);
207			printf("\t%18.12g\t%18.12g\n", lastr, r);
208	greg	1.1	}
209			endfor:
210			lastz = z; lastr = r;
211			z = nextz; r = nextr;
212			lastnz = nz; lastnr = nr;
213			nz = nextnz; nr = nextnr;
214			}
215	schorsch	2.7	return 0;
216	greg	1.1
217			userror:
218			fprintf(stderr,
219			"Usage: %s material name z(t) r(t) nseg [-e expr] [-f file] [-s]\n",
220			argv[0]);
221	schorsch	2.7	return 1;
222	greg	1.1	}
223
224