| 1 |
greg |
2.1 |
#ifndef lint |
| 2 |
greg |
2.6 |
static const char RCSid[] = "$Id: gencat.c,v 2.5 2003/11/16 10:29:38 schorsch Exp $"; |
| 3 |
greg |
2.1 |
#endif |
| 4 |
|
|
/***************************************************************************** |
| 5 |
|
|
This program is to make series of right triangles forming hyperbolic cosin |
| 6 |
|
|
(ie, cosh) curve in between of 2 points. |
| 7 |
|
|
^ |
| 8 |
|
|
f(h)| |
| 9 |
|
|
| |
| 10 |
|
|
| 0\ pc:(hc, fc) |
| 11 |
|
|
| | \ |
| 12 |
|
|
| | \ |
| 13 |
|
|
| | \ |
| 14 |
|
|
| pa:(ha, fa) 0-------------0 pb:(hb, fb) |
| 15 |
|
|
| |
| 16 |
|
|
0------------------------------------------------> h |
| 17 |
|
|
|
| 18 |
|
|
Given arguments: |
| 19 |
|
|
material |
| 20 |
|
|
name |
| 21 |
|
|
(x0, y0, z0), (x1, y1, z1) |
| 22 |
|
|
k const. value K |
| 23 |
|
|
d distant length desired between 2 points |
| 24 |
|
|
|
| 25 |
|
|
******************************************************************************/ |
| 26 |
|
|
|
| 27 |
|
|
#include <stdio.h> |
| 28 |
greg |
2.3 |
#include <stdlib.h> |
| 29 |
greg |
2.1 |
#include <math.h> |
| 30 |
greg |
2.2 |
|
| 31 |
greg |
2.1 |
char *cmtype, *cname; |
| 32 |
|
|
double z0, z1; |
| 33 |
|
|
double k, D; |
| 34 |
|
|
double d; |
| 35 |
|
|
double z, h; |
| 36 |
|
|
|
| 37 |
|
|
#ifdef notdef |
| 38 |
|
|
double Newton( b) |
| 39 |
|
|
double b; |
| 40 |
|
|
{ |
| 41 |
|
|
if (fabs(cosh(k*D+b)-cosh(b)-(z1-z0)/k) < .001) |
| 42 |
|
|
return (b); |
| 43 |
|
|
else { |
| 44 |
|
|
b = b - (cosh(k*D+b)-cosh(b)-(z1-z0)/k)/(sinh(k*D+b)-sinh(b)); |
| 45 |
|
|
Newton (b); |
| 46 |
|
|
} |
| 47 |
|
|
} |
| 48 |
|
|
#endif |
| 49 |
|
|
|
| 50 |
|
|
double Newton(bl) |
| 51 |
|
|
double bl; |
| 52 |
|
|
{ |
| 53 |
|
|
double b; |
| 54 |
|
|
int n = 10000; |
| 55 |
|
|
|
| 56 |
|
|
while (n--) { |
| 57 |
|
|
b = bl- (cosh(k*D+bl)-cosh(bl)-(z1-z0)/k)/(sinh(k*D+bl)-sinh(bl)); |
| 58 |
|
|
if (fabs(b-bl) < .00001) |
| 59 |
|
|
return(b); |
| 60 |
|
|
bl = b; |
| 61 |
|
|
} |
| 62 |
|
|
fprintf(stderr, "Interation limit exceeded -- invalid K value\n"); |
| 63 |
|
|
exit(1); |
| 64 |
|
|
} |
| 65 |
|
|
|
| 66 |
|
|
|
| 67 |
schorsch |
2.4 |
static void |
| 68 |
|
|
printhead(ac, av) /* print command header */ |
| 69 |
|
|
register int ac; |
| 70 |
|
|
register char **av; |
| 71 |
|
|
{ |
| 72 |
|
|
putchar('#'); |
| 73 |
|
|
while (ac--) { |
| 74 |
|
|
putchar(' '); |
| 75 |
|
|
fputs(*av++, stdout); |
| 76 |
|
|
} |
| 77 |
|
|
putchar('\n'); |
| 78 |
|
|
} |
| 79 |
|
|
|
| 80 |
schorsch |
2.5 |
int |
| 81 |
greg |
2.1 |
main (argc, argv) |
| 82 |
|
|
int argc; |
| 83 |
|
|
char *argv[]; |
| 84 |
|
|
{ |
| 85 |
|
|
double x0, y0; |
| 86 |
|
|
double x1, y1; |
| 87 |
|
|
double b; |
| 88 |
|
|
double delh; |
| 89 |
|
|
double f, fprim; |
| 90 |
|
|
double hb, hc, fb, fc; |
| 91 |
|
|
int n; |
| 92 |
|
|
|
| 93 |
|
|
if (argc != 11) { |
| 94 |
greg |
2.6 |
fprintf(stderr, "Usage: %s material name x0 y0 z0 x1 y1 z1 k d\n", |
| 95 |
|
|
argv[0]); |
| 96 |
greg |
2.1 |
exit(1); |
| 97 |
|
|
} |
| 98 |
|
|
|
| 99 |
|
|
cmtype = argv[1]; |
| 100 |
|
|
cname = argv[2]; |
| 101 |
|
|
x0 = atof(argv[3]); y0 = atof(argv[4]); z0 = atof(argv[5]); |
| 102 |
|
|
x1 = atof(argv[6]); y1 = atof(argv[7]); z1 = atof(argv[8]); |
| 103 |
|
|
k = atof(argv[9]); d = atof(argv[10]); |
| 104 |
|
|
D = sqrt((x1-x0)*(x1-x0) + (y1-y0)*(y1-y0)); |
| 105 |
|
|
b = Newton(0.0); |
| 106 |
|
|
z = z0 - k * cosh(b); |
| 107 |
|
|
printhead(argc, argv); |
| 108 |
|
|
|
| 109 |
|
|
n = 0; |
| 110 |
|
|
for (h=0; h<=D; ) { |
| 111 |
|
|
f = k * cosh(k*h+b) + z; |
| 112 |
|
|
fprim = k* k * sinh(k*h+b); |
| 113 |
|
|
delh = d / sqrt(1+fprim*fprim); |
| 114 |
|
|
fprim = k * k * sinh(k*(h+delh/2)+b); |
| 115 |
|
|
hb = sqrt(.01*fprim*fprim/(1+fprim*fprim)); |
| 116 |
|
|
fb = sqrt(.01/(1+(fprim*fprim))); |
| 117 |
|
|
hc = sqrt(.04/(1+fprim*fprim)); |
| 118 |
|
|
fc = sqrt(.04*fprim*fprim/(1+fprim*fprim)); |
| 119 |
|
|
|
| 120 |
|
|
printf("\n%s polygon %s.%d\n", cmtype, cname, ++n); |
| 121 |
|
|
printf("0\n0\n9\n"); |
| 122 |
|
|
printf("%f %f %f\n", h*(x1-x0)/D+x0, h*(y1-y0)/D+y0, f); |
| 123 |
|
|
if (fprim < 0) |
| 124 |
|
|
{ |
| 125 |
|
|
printf("%f %f %f\n", (h+hc)*(x1-x0)/D+x0, (h+hc)*(y1-y0)/D+y0, f-fc); |
| 126 |
|
|
printf("%f %f %f\n", (h+hb)*(x1-x0)/D+x0, (h+hb)*(y1-y0)/D+y0, f+fb); |
| 127 |
|
|
} |
| 128 |
|
|
else if (fprim > 0) |
| 129 |
|
|
{ |
| 130 |
|
|
printf("%f %f %f\n", (h+hc)*(x1-x0)/D+x0, (h+hc)*(y1-y0)/D+y0, f+fc); |
| 131 |
|
|
printf("%f %f %f\n", (h-hb)*(x1-x0)/D+x0, (h-hb)*(y1-y0)/D+y0, f+fb); |
| 132 |
|
|
} |
| 133 |
|
|
else |
| 134 |
|
|
{ |
| 135 |
|
|
printf("%f %f %f\n", (h+.2)*(x1-x0)/D+x0, (h+.2)*(y1-y0)/D+y0, f); |
| 136 |
|
|
printf("%f %f %f\n", h*(x1-x0)/D+x0, h*(y1-y0)/D+y0, f+.1); |
| 137 |
|
|
} |
| 138 |
|
|
h += delh; |
| 139 |
|
|
} |
| 140 |
schorsch |
2.5 |
return 0; |
| 141 |
greg |
2.1 |
} |
| 142 |
|
|
|
