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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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|
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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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******************************************************************************/ |
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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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|
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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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|
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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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|
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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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|
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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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|
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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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|
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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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|
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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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|
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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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|
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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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|
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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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