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/* Copyright (c) 1989 Regents of the University of California */ |
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#ifndef lint |
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static char SCCSid[] = "$SunId$ LBL"; |
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#endif |
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/* Copyright (c) 1989 Regents of the University of California */ |
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|
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/* |
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* gensurf.c - program to generate functional surfaces |
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* |
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* 4/3/87 |
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*/ |
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|
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#include <stdio.h> |
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#include "fvect.h" |
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#include "standard.h" |
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|
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#define XNAME "X_" /* x function name */ |
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#define YNAME "Y_" /* y function name */ |
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#define ZNAME "Z_" /* z function name */ |
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char XNAME[] = "X`SYS`"; /* x function name */ |
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char YNAME[] = "Y`SYS`"; /* y function name */ |
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char ZNAME[] = "Z`SYS`"; /* z function name */ |
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|
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#define PI 3.14159265358979323846 |
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|
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#define FTINY 1e-7 |
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|
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#define ABS(x) ((x)>=0 ? (x) : -(x)) |
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|
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#define pvect(p) printf(vformat, (p)[0], (p)[1], (p)[2]) |
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char *modname, *surfname; |
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|
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double funvalue(), l_hermite(), argument(); |
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/* recorded data flags */ |
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#define HASBORDER 01 |
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#define TRIPLETS 02 |
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/* a data structure */ |
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struct { |
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int flags; /* data type */ |
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short m, n; /* number of s and t values */ |
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FLOAT *data; /* the data itself, s major sort */ |
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} datarec; /* our recorded data */ |
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|
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double l_hermite(), l_bezier(), l_bspline(), l_dataval(); |
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extern double funvalue(), argument(); |
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|
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typedef struct { |
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FVECT p; /* vertex position */ |
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FVECT n; /* average normal */ |
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int argc; |
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char *argv[]; |
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{ |
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extern long eclock; |
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POINT *row0, *row1, *row2, *rp; |
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int i, j, m, n; |
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char stmp[256]; |
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|
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varset("PI", PI); |
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funset("hermite", 5, l_hermite); |
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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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|
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if (argc < 8) |
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goto userror; |
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|
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for (i = 8; i < argc; i++) |
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if (!strcmp(argv[i], "-e")) |
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scompile(NULL, argv[++i]); |
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scompile(argv[++i], NULL, 0); |
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else if (!strcmp(argv[i], "-f")) |
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fcompile(argv[++i]); |
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else if (!strcmp(argv[i], "-s")) |
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|
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modname = argv[1]; |
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surfname = argv[2]; |
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sprintf(stmp, "%s(s,t)=%s;", XNAME, argv[3]); |
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scompile(NULL, stmp); |
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sprintf(stmp, "%s(s,t)=%s;", YNAME, argv[4]); |
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scompile(NULL, stmp); |
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sprintf(stmp, "%s(s,t)=%s;", ZNAME, argv[5]); |
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scompile(NULL, stmp); |
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m = atoi(argv[6]); |
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n = atoi(argv[7]); |
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if (m <= 0 || n <= 0) |
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goto userror; |
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|
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if (!strcmp(argv[5], "-") || access(argv[5], 4) == 0) { /* file? */ |
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funset(ZNAME, 2, ':', l_dataval); |
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if (!strcmp(argv[5],argv[3]) && !strcmp(argv[5],argv[4])) { |
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loaddata(argv[5], m, n, 3); |
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funset(XNAME, 2, ':', l_dataval); |
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funset(YNAME, 2, ':', l_dataval); |
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} else { |
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loaddata(argv[5], m, n, 1); |
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sprintf(stmp, "%s(s,t)=%s;", XNAME, argv[3]); |
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scompile(stmp, NULL, 0); |
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sprintf(stmp, "%s(s,t)=%s;", YNAME, argv[4]); |
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scompile(stmp, NULL, 0); |
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} |
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} else { |
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sprintf(stmp, "%s(s,t)=%s;", XNAME, argv[3]); |
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scompile(stmp, NULL, 0); |
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sprintf(stmp, "%s(s,t)=%s;", YNAME, argv[4]); |
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scompile(stmp, NULL, 0); |
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sprintf(stmp, "%s(s,t)=%s;", ZNAME, argv[5]); |
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scompile(stmp, NULL, 0); |
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} |
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row0 = (POINT *)malloc((n+3)*sizeof(POINT)); |
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row1 = (POINT *)malloc((n+3)*sizeof(POINT)); |
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row2 = (POINT *)malloc((n+3)*sizeof(POINT)); |
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row0++; row1++; row2++; |
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/* print header */ |
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printhead(argc, argv); |
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eclock = 0; |
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/* initialize */ |
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comprow(-1.0/m, row0, n); |
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comprow(0.0, row1, n); |
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} |
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loaddata(file, m, n, pointsize) /* load point data from file */ |
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char *file; |
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int m, n; |
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int pointsize; |
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{ |
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extern char *fgetword(); |
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FILE *fp; |
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char word[64]; |
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register int size; |
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register FLOAT *dp; |
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|
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datarec.flags = HASBORDER; /* assume border values */ |
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datarec.m = m+1; |
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datarec.n = n+1; |
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size = datarec.m*datarec.n*pointsize; |
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if (pointsize == 3) |
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datarec.flags |= TRIPLETS; |
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dp = (FLOAT *)malloc(size*sizeof(FLOAT)); |
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if ((datarec.data = dp) == NULL) { |
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fputs("Out of memory\n", stderr); |
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exit(1); |
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} |
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if (!strcmp(file, "-")) { |
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file = "<stdin>"; |
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fp = stdin; |
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} else if ((fp = fopen(file, "r")) == NULL) { |
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fputs(file, stderr); |
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fputs(": cannot open\n", stderr); |
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exit(1); |
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} |
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while (size > 0 && fgetword(word, sizeof(word), fp) != NULL) { |
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if (!isflt(word)) { |
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fprintf(stderr, "%s: garbled data value: %s\n", |
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file, word); |
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exit(1); |
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} |
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*dp++ = atof(word); |
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size--; |
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} |
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if (size == (m+n+1)*pointsize) { /* no border after all */ |
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dp = (FLOAT *)realloc((char *)datarec.data, |
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m*n*pointsize*sizeof(FLOAT)); |
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if (dp != NULL) |
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datarec.data = dp; |
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datarec.flags &= ~HASBORDER; |
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datarec.m = m; |
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datarec.n = n; |
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size = 0; |
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} |
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if (datarec.m < 2 || datarec.n < 2 || size != 0 || |
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fgetword(word, sizeof(word), fp) != NULL) { |
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fputs(file, stderr); |
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fputs(": bad number of data points\n", stderr); |
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exit(1); |
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} |
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fclose(fp); |
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} |
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|
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|
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double |
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l_dataval(nam) /* return recorded data value */ |
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char *nam; |
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{ |
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double u, v; |
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register int i, j; |
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register FLOAT *dp; |
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double d00, d01, d10, d11; |
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/* compute coordinates */ |
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u = argument(1); v = argument(2); |
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if (datarec.flags & HASBORDER) { |
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i = u *= datarec.m-1; |
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j = v *= datarec.n-1; |
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} else { |
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i = u = u*datarec.m - .5; |
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j = v = v*datarec.n - .5; |
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} |
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if (i < 0) i = 0; |
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else if (i > datarec.m-2) i = datarec.m-2; |
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if (j < 0) j = 0; |
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else if (j > datarec.n-2) j = datarec.n-2; |
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/* compute value */ |
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if (datarec.flags & TRIPLETS) { |
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dp = datarec.data + 3*(j*datarec.m + i); |
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if (nam == ZNAME) |
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dp += 2; |
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else if (nam == YNAME) |
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dp++; |
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d00 = dp[0]; d01 = dp[3]; |
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dp += 3*datarec.m; |
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d10 = dp[0]; d11 = dp[3]; |
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} else { |
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dp = datarec.data + j*datarec.m + i; |
248 |
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d00 = dp[0]; d01 = dp[1]; |
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dp += datarec.m; |
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d10 = dp[0]; d11 = dp[1]; |
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} |
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/* bilinear interpolation */ |
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return((j+1-v)*((i+1-u)*d00+(u-i)*d01)+(v-j)*((i+1-u)*d10+(u-i)*d11)); |
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} |
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|
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|
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putsquare(p0, p1, p2, p3) /* put out a square */ |
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POINT *p0, *p1, *p2, *p3; |
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{ |
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int siz; |
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{ |
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double st[2]; |
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int end; |
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register int i; |
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< |
/* compute one past each end */ |
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> |
|
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if (smooth) { |
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i = -1; /* compute one past each end */ |
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> |
end = siz+1; |
356 |
> |
} else { |
357 |
> |
if (s < -FTINY || s > 1.0+FTINY) |
358 |
> |
return; |
359 |
> |
i = 0; |
360 |
> |
end = siz; |
361 |
> |
} |
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st[0] = s; |
363 |
< |
for (i = -1; i <= siz+1; i++) { |
363 |
> |
while (i <= end) { |
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st[1] = (double)i/siz; |
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row[i].p[0] = funvalue(XNAME, 2, st); |
366 |
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row[i].p[1] = funvalue(YNAME, 2, st); |
367 |
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row[i].p[2] = funvalue(ZNAME, 2, st); |
368 |
+ |
i++; |
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} |
370 |
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} |
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|
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register POINT *r0, *r1, *r2; |
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int siz; |
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{ |
377 |
< |
FVECT v1, v2, vc; |
242 |
< |
register int i; |
377 |
> |
FVECT v1, v2; |
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|
379 |
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if (!smooth) /* not needed if no smoothing */ |
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return; |
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/* compute middle points */ |
382 |
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while (siz-- >= 0) { |
383 |
< |
fvsum(v1, r2[0].p, r1[0].p, -1.0); |
384 |
< |
fvsum(v2, r1[1].p, r1[0].p, -1.0); |
383 |
> |
fvsum(v1, r2[0].p, r0[0].p, -1.0); |
384 |
> |
fvsum(v2, r1[1].p, r1[-1].p, -1.0); |
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fcross(r1[0].n, v1, v2); |
251 |
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fvsum(v1, r0[0].p, r1[0].p, -1.0); |
252 |
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fcross(vc, v2, v1); |
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fvsum(r1[0].n, r1[0].n, vc, 1.0); |
254 |
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fvsum(v2, r1[-1].p, r1[0].p, -1.0); |
255 |
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fcross(vc, v1, v2); |
256 |
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fvsum(r1[0].n, r1[0].n, vc, 1.0); |
257 |
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fvsum(v1, r2[0].p, r1[0].p, -1.0); |
258 |
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fcross(vc, v2, v1); |
259 |
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fvsum(r1[0].n, r1[0].n, vc, 1.0); |
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normalize(r1[0].n); |
387 |
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r0++; r1++; r2++; |
388 |
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} |
398 |
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#define v ((ax+2)%3) |
399 |
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|
400 |
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register int ax; |
401 |
< |
double eqnmat[4][4]; |
401 |
> |
MAT4 eqnmat; |
402 |
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FVECT v1; |
403 |
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register int i, j; |
404 |
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|
452 |
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*/ |
453 |
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|
454 |
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invmat(inverse,mat) |
455 |
< |
double mat[4][4],inverse[4][4]; |
455 |
> |
MAT4 inverse, mat; |
456 |
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{ |
457 |
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#define SWAP(a,b,t) (t=a,a=b,b=t) |
458 |
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|
459 |
< |
double m4tmp[4][4]; |
459 |
> |
MAT4 m4tmp; |
460 |
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register int i,j,k; |
461 |
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register double temp; |
462 |
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|
463 |
< |
bcopy(mat, m4tmp, sizeof(m4tmp)); |
463 |
> |
copymat4(m4tmp, mat); |
464 |
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/* set inverse to identity */ |
465 |
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for (i = 0; i < 4; i++) |
466 |
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for (j = 0; j < 4; j++) |
467 |
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inverse[i][j] = i==j ? 1.0 : 0.0; |
468 |
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|
469 |
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for(i = 0; i < 4; i++) { |
470 |
< |
/* Look for raw with largest pivot and swap raws */ |
470 |
> |
/* Look for row with largest pivot and swap rows */ |
471 |
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temp = FTINY; j = -1; |
472 |
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for(k = i; k < 4; k++) |
473 |
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if(ABS(m4tmp[k][i]) > temp) { |
474 |
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temp = ABS(m4tmp[k][i]); |
475 |
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j = k; |
476 |
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} |
477 |
< |
if(j == -1) /* No replacing raw -> no inverse */ |
477 |
> |
if(j == -1) /* No replacing row -> no inverse */ |
478 |
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return(0); |
479 |
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if (j != i) |
480 |
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for(k = 0; k < 4; k++) { |
518 |
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|
519 |
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|
520 |
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quit(code) |
521 |
+ |
int code; |
522 |
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{ |
523 |
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exit(code); |
524 |
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} |
547 |
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argument(2)*(-2.0*t+3.0)*t*t + |
548 |
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argument(3)*((t-2.0)*t+1.0)*t + |
549 |
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argument(4)*(t-1.0)*t*t ); |
550 |
+ |
} |
551 |
+ |
|
552 |
+ |
|
553 |
+ |
double |
554 |
+ |
l_bezier() |
555 |
+ |
{ |
556 |
+ |
double t; |
557 |
+ |
|
558 |
+ |
t = argument(5); |
559 |
+ |
return( argument(1) * (1.+t*(-3.+t*(3.-t))) + |
560 |
+ |
argument(2) * 3.*t*(1.+t*(-2.+t)) + |
561 |
+ |
argument(3) * 3.*t*t*(1.-t) + |
562 |
+ |
argument(4) * t*t*t ); |
563 |
+ |
} |
564 |
+ |
|
565 |
+ |
|
566 |
+ |
double |
567 |
+ |
l_bspline() |
568 |
+ |
{ |
569 |
+ |
double t; |
570 |
+ |
|
571 |
+ |
t = argument(5); |
572 |
+ |
return( argument(1) * (1./6.+t*(-1./2.+t*(1./2.-1./6.*t))) + |
573 |
+ |
argument(2) * (2./3.+t*t*(-1.+1./2.*t)) + |
574 |
+ |
argument(3) * (1./6.+t*(1./2.+t*(1./2.-1./2.*t))) + |
575 |
+ |
argument(4) * (1./6.*t*t*t) ); |
576 |
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} |