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#ifndef lint
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static const char RCSid[] = "$Id: gencat.c,v 2.5 2003/11/16 10:29:38 schorsch Exp $";
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#endif
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/*****************************************************************************
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This program is to make series of right triangles forming hyperbolic cosin
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(ie, cosh) curve in between of 2 points.
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^
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f(h)|
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|
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| 0\ pc:(hc, fc)
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| | \
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| | \
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| | \
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| pa:(ha, fa) 0-------------0 pb:(hb, fb)
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|
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0------------------------------------------------> h
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Given arguments:
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material
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name
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(x0, y0, z0), (x1, y1, z1)
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k const. value K
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d distant length desired between 2 points
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******************************************************************************/
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#include <stdio.h>
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#include <stdlib.h>
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#include <math.h>
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char *cmtype, *cname;
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double z0, z1;
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double k, D;
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double d;
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double z, h;
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#ifdef notdef
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double Newton( b)
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double b;
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{
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if (fabs(cosh(k*D+b)-cosh(b)-(z1-z0)/k) < .001)
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return (b);
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else {
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b = b - (cosh(k*D+b)-cosh(b)-(z1-z0)/k)/(sinh(k*D+b)-sinh(b));
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Newton (b);
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}
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}
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#endif
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double Newton(bl)
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double bl;
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{
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double b;
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int n = 10000;
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while (n--) {
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b = bl- (cosh(k*D+bl)-cosh(bl)-(z1-z0)/k)/(sinh(k*D+bl)-sinh(bl));
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if (fabs(b-bl) < .00001)
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return(b);
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bl = b;
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}
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fprintf(stderr, "Interation limit exceeded -- invalid K value\n");
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exit(1);
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}
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static void
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printhead(ac, av) /* print command header */
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register int ac;
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register char **av;
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{
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putchar('#');
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while (ac--) {
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putchar(' ');
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fputs(*av++, stdout);
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}
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putchar('\n');
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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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double x0, y0;
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double x1, y1;
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double b;
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double delh;
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double f, fprim;
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double hb, hc, fb, fc;
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int n;
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if (argc != 11) {
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fprintf(stderr, "Usage: %s material name x0 y0 z0 x1 y1 z1 k d\n",
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argv[0]);
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exit(1);
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}
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cmtype = argv[1];
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cname = argv[2];
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x0 = atof(argv[3]); y0 = atof(argv[4]); z0 = atof(argv[5]);
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x1 = atof(argv[6]); y1 = atof(argv[7]); z1 = atof(argv[8]);
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k = atof(argv[9]); d = atof(argv[10]);
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D = sqrt((x1-x0)*(x1-x0) + (y1-y0)*(y1-y0));
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b = Newton(0.0);
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z = z0 - k * cosh(b);
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printhead(argc, argv);
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n = 0;
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for (h=0; h<=D; ) {
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f = k * cosh(k*h+b) + z;
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fprim = k* k * sinh(k*h+b);
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delh = d / sqrt(1+fprim*fprim);
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fprim = k * k * sinh(k*(h+delh/2)+b);
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hb = sqrt(.01*fprim*fprim/(1+fprim*fprim));
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fb = sqrt(.01/(1+(fprim*fprim)));
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hc = sqrt(.04/(1+fprim*fprim));
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fc = sqrt(.04*fprim*fprim/(1+fprim*fprim));
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printf("\n%s polygon %s.%d\n", cmtype, cname, ++n);
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printf("0\n0\n9\n");
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printf("%f %f %f\n", h*(x1-x0)/D+x0, h*(y1-y0)/D+y0, f);
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if (fprim < 0)
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{
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printf("%f %f %f\n", (h+hc)*(x1-x0)/D+x0, (h+hc)*(y1-y0)/D+y0, f-fc);
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printf("%f %f %f\n", (h+hb)*(x1-x0)/D+x0, (h+hb)*(y1-y0)/D+y0, f+fb);
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}
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else if (fprim > 0)
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{
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printf("%f %f %f\n", (h+hc)*(x1-x0)/D+x0, (h+hc)*(y1-y0)/D+y0, f+fc);
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printf("%f %f %f\n", (h-hb)*(x1-x0)/D+x0, (h-hb)*(y1-y0)/D+y0, f+fb);
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}
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else
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{
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printf("%f %f %f\n", (h+.2)*(x1-x0)/D+x0, (h+.2)*(y1-y0)/D+y0, f);
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printf("%f %f %f\n", h*(x1-x0)/D+x0, h*(y1-y0)/D+y0, f+.1);
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}
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h += delh;
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}
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return 0;
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}
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