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#ifndef lint |
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static const char RCSid[] = "$Id: tabfunc.c,v 1.7 2019/08/11 17:04:09 greg Exp $"; |
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#endif |
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/* |
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* Put tabular data into functions suitable for cal programs. |
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* |
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* 2/2/95 Greg Ward |
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*/ |
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|
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#include <stdlib.h> |
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#include <math.h> |
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#include <ctype.h> |
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|
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#include "rtprocess.h" /* getpid() */ |
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#include "rtmath.h" |
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#include "rtio.h" |
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|
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#define isdelim(c) (isspace(c) || (c)==',') |
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|
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#define MAXTAB 8192 /* maximum number of data rows */ |
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#define MAXLINE 16384 /* maximum line width (characters) */ |
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#define OUTFMT "%.7g" /* output format conversion string */ |
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|
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int interpolate = 0; |
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char *progname; |
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char **func; |
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int nfuncs; |
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|
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RREAL abscissa[MAXTAB]; /* independent values (first column) */ |
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RREAL (*ordinate)[MAXTAB]; /* dependent values (other columns) */ |
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int tabsize = 0; /* final table size (number of rows) */ |
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char locID[16]; /* local identifier (for uniqueness) */ |
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|
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/*extern char *fgets(), *fskip(), *absc_exp();*/ |
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|
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static void load_data(FILE *fp); |
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static void print_funcs(char *xe); |
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static void putlist(register RREAL *av, int al, register int pos); |
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static char * absc_exp(void); |
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|
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int |
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main( |
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int argc, |
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char **argv |
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) |
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{ |
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progname = argv[0]; |
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argv++; |
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argc--; |
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if (argc && !strcmp(argv[0], "-i")) { |
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interpolate++; |
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puts("interp_arr2`(i,x,f):(i+1-x)*f(i)+(x-i)*f(i+1);"); |
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puts("interp_arr`(x,f):if(x-1,if(f(0)-x,interp_arr2`(floor(x),x,f),f(f(0))),f(1));"); |
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argv++; |
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argc--; |
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} |
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if (!argc || argv[0][0] == '-') { |
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fprintf(stderr, "Usage: %s [-i] func1 [func2 ..]\n", progname); |
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exit(1); |
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} |
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func = argv; |
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nfuncs = argc; |
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ordinate = (RREAL (*)[MAXTAB])malloc(nfuncs*MAXTAB*sizeof(RREAL)); |
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if (ordinate == NULL) { |
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fprintf(stderr, "%s: not enough memory\n", progname); |
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exit(1); |
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} |
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sprintf(locID, "p%d", getpid()); |
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load_data(stdin); |
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print_funcs(absc_exp()); |
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exit(0); |
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} |
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|
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|
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static void |
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load_data( /* load tabular data from fp */ |
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FILE *fp |
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) |
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{ |
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int lineno; |
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char *err; |
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char inpbuf[MAXLINE]; |
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register char *cp; |
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register int i; |
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|
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tabsize = lineno = 0; |
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inpbuf[MAXLINE-2] = '\n'; |
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while (fgets(inpbuf, MAXLINE, fp) != NULL) { |
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lineno++; |
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if (inpbuf[MAXLINE-2] != '\n') { |
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err = "line too long"; |
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goto fatal; |
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} |
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if (tabsize >= MAXTAB-1) { |
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err = "too many rows"; |
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goto fatal; |
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} |
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if ((cp = fskip(inpbuf)) == NULL) |
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continue; /* skip non-data lines */ |
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abscissa[tabsize] = atof(inpbuf); |
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for (i = 0; i < nfuncs; i++) { |
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while (isdelim(*cp)) |
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cp++; |
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if (!*cp) { |
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err = "too few columns"; |
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goto fatal; |
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} |
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ordinate[i][tabsize] = atof(cp); |
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if ((cp = fskip(cp)) == NULL) { |
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err = "bad floating-point format"; |
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goto fatal; |
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} |
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} |
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tabsize++; |
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} |
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return; |
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fatal: |
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fprintf(stderr, "%s: input line %d: %s\n", progname, lineno, err); |
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exit(1); |
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} |
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|
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|
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static char * |
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absc_exp(void) /* produce expression for abscissa */ |
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{ |
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static char ourexp[64]; |
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double step, eps; |
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int uniform, increasing; |
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register int i; |
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|
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if (tabsize < 2) |
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return("1"); |
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step = abscissa[1] - abscissa[0]; |
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eps = ((increasing = (step > 0)) ? 1e-3 : -1e-3) * step; |
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uniform = 1; |
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for (i = 2; i < tabsize; i++) { |
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if (uniform && fabs((abscissa[i]-abscissa[i-1]) - step) > eps) |
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uniform = 0; |
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if (!uniform && (abscissa[i-1] < abscissa[i]) != increasing) { |
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fprintf(stderr, "%s: input not a function\n", |
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progname); |
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exit(1); |
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} |
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} |
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if (uniform) { |
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if (increasing && fabs(step - 1) < eps) { |
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if (fabs(abscissa[0] - 1) < eps) |
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strcpy(ourexp, "x"); |
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else |
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sprintf(ourexp, "x-%g", abscissa[0]-1); |
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} else if (fabs(abscissa[0]) < eps) |
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sprintf(ourexp, "x/%g+1", step); |
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else |
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sprintf(ourexp, "(x-%g)/%g+1", abscissa[0], step); |
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} else { |
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printf("X`%s(i):select(i,", locID); |
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putlist(abscissa, tabsize, 20); |
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puts(");"); |
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if (increasing) { |
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printf("fx`%s(x):if(x-%g,if(%g-x,fx2`%s(x,%d),%d),1);\n", |
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locID, abscissa[0], abscissa[tabsize-1], |
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locID, tabsize, tabsize); |
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printf("fx2`%s(x,i):if(x-X`%s(i),\n", locID, locID); |
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} else { |
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printf("fx`%s(x):if(%g-x,if(x-%g,fx2`%s(x,%d),%d),1);\n", |
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locID, abscissa[0], abscissa[tabsize-1], |
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locID, tabsize, tabsize); |
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printf("fx2`%s(x,i):if(X`%s(i)-x,\n", locID, locID); |
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} |
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printf("\ti+(x-X`%s(i))/(X`%s(i+1)-X`%s(i)),\n", |
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locID, locID, locID); |
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printf("\tfx2`%s(x,i-1));\n", locID); |
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sprintf(ourexp, "fx`%s(x)", locID); |
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} |
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return(ourexp); |
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} |
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|
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|
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static void |
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print_funcs( /* print functions */ |
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char *xe |
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) |
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{ |
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int xelen; |
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register int i; |
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|
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xelen = strlen(xe); |
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for (i = 0; i < nfuncs; i++) { |
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if ((func[i][0] == '\0') | (func[i][0] == '0')) |
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continue; |
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if (interpolate) { |
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printf("%s`%s(i):select(i,", func[i], locID); |
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putlist(ordinate[i], tabsize, |
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27+strlen(func[i])); |
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puts(");"); |
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printf("%s(x):interp_arr`(%s,%s`%s);\n", |
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func[i], xe, func[i], locID); |
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} else { |
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printf("%s(x):select(%s,", func[i], xe); |
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putlist(ordinate[i], tabsize, strlen(func[i])+xelen+12); |
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puts(");"); |
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} |
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} |
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} |
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|
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|
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static void |
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putlist( /* put out array of values */ |
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register RREAL *av, |
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int al, |
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register int pos |
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) |
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{ |
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char obuf[32]; |
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int len; |
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|
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while (al--) { |
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sprintf(obuf, OUTFMT, *av++); |
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pos += (len = strlen(obuf)+1); |
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if (pos >= 64) { |
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putchar('\n'); |
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pos = len; |
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} |
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fputs(obuf, stdout); |
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if (al) |
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putchar(','); |
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} |
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} |
