ftp.nice.ch/pub/next/developer/resources/palettesfor2.xx/nxypalette.1.2.N.bs.tar.gz#/nxyPalette1.2/src/auxil.m

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/*
 * Auxiliary routines, all taken from xyplot (translated from Fortran to C).
 */

#include "defs.h"
#include <strings.h>
#include <stdio.h>
#include <math.h>
#include <stdlib.h>		/* for exit() */
#include <appkit/Panel.h>	/* for NXRunAlertPanel */

/*
 * Count the number of labels on a given axis.
 */
void
count_labels(int *pn, double *pfirst, double min, double inc, double max)
{
  int   bottom, top, j;
  double range, absinc, tol, guess;
  
  if (inc != 0.0) {
    *pn  = 0;
    bottom = (int)(min/inc) - 1;
    top    = (int)(max/inc) + 1;
    range  = ABS(max - min);
    absinc = MIN(range, ABS(inc));
    tol    = absinc * (range + absinc) / 100.0;
    for (j=top; j>=bottom; j--) {
      guess = (double)j * inc;
      if ( (max-guess)*(guess-min) >= -tol) {
	*pn += 1;
	*pfirst = guess;
      }
    }
  }
  else {
    *pn     = 0;
    *pfirst = 0.0;
  }
  return;
}

/*
 * Write a float into a string and see how many characters are to the left
 * of the decimal point, how many total decimal characters there are, and
 * how many characters there are in the exponent (if exponential notation).
 */
void
numstring(double x, int *nl, int *nd, int *ne)
{
  char string[80];
  double  ax;
  int     i, nc, net;

  ax = ABS(x);
  i  = ax;
  if ((double)i==ax  &&  ax<99999.0) {
    sprintf(string, "%1d", (int)x);
  }
  else {
    if (ax>=1.e-4  && ax<1.e5) {
      if ( ((int)(x*10000.0) % 10000) == 0 )
	sprintf(string, "%-6.0f", x); /* left-justify  */
      else if ( ((int)(x*10000.0) % 1000) == 0 )
	sprintf(string, "%-7.1f", x);
      else if ( ((int)(x*10000.0) % 100) == 0 )
	sprintf(string, "%-8.2f", x);
      else if ( ((int)(x*10000.0) % 10) == 0 )
	sprintf(string, "%-9.3f", x);
      else
/*	sprintf(string, "%-10.4f", x);  this can fail -- e.g., x=0.000718 */
	sprintf(string, "%10.6f", x); /* will this always work? */
    }
    else {
      sprintf(string, "%-#11.2e", x);
    }
  }
  nc = strlen(string);
/* strip off blanks from the end of the string: */
  while (string[nc-1] == ' ') {
    string[--nc] = '\0';
  }
  nc = strlen(string);

/* nl = no. of characters left of the decimal point (including sign) */
  *nl = 0;
  for (i=nc-1; i>=0; i--) {
    *nl += 1;
    if (string[i] == '.') *nl = 0;
  }

/* nd = no. of decimal characters (including decimal point, omitting
 * trailing zeros)
 */
  *nd = 0;
  for (i=nc-1; i>=*nl; i--) {
    *nd += 1;
    if (string[i] == 'e' || string[i] == 'E') *nd = 0;
    if (string[i] == '0' && *nd == 1) *nd = 0;
  }

/* ne = no. of exponent characters (including the 'E' if any) */
  *ne = 0;
  for (i=*nl + *nd; i<nc; i++) {
    if (string[i] == 'e' || string[i] == 'E') *ne = nc - i;
  }
  net = 0;
  for (i = nc-1; i >= nc - *ne + 2; i--) {
    if (string[i] != '0') net = 2 + nc - i;
  }
  *ne = net;

/* Some special cases where floating point numbers may be
 * expressed as integers.
 */
  if (*nd==1 && *ne==0) *nd = 1;
  return;
}

/*
 * See what the formatting would be if we go from min to max in
 * steps of inc.
 */
void
autoformat(double min, double inc, double max, int *axformat)
{
  int     nlabels, i, nl, nd, ne;
  double  first, value;

  *axformat       = 0;
  *(axformat + 1) = 0;
  *(axformat + 2) = 0;
  count_labels(&nlabels, &first, min, inc, max);
  for (i=0; i<nlabels; i++) {
    /* Special test here for what should be exact 0 (but isn't sometimes
     * due to floating-point arithmetic.
     */
    if (inc != 0.0  && fabs(first/inc + (double)i) < 1.0e-14) {	/* ugly */
      value = 0.0;
    }
    else {
      value = first + inc*(double)i;
    }
    numstring(value, &nl, &nd, &ne);
    if (*(axformat+2)==0 && ne!=0) {
      *axformat     = nl;
      *(axformat+1) = nd;
      *(axformat+2) = ne;
    }
    else {
      *axformat     = MAX(nl, *axformat);
      *(axformat+1) = MAX(nd, *(axformat+1));
      *(axformat+2) = MAX(ne, *(axformat+2));
    }
  }
  return;
}

/*
 * Put a float into a string with a specified format.
 */
void
handformat(float number, char *string, int *axformat)
{
  int  nl, nd, ne;

  nl = *(axformat+0);
  nd = *(axformat+1);
  ne = *(axformat+2);

  // if all axformat[i] are 0, return just a blank:
  if (ne==0 && nd==0 && nl==0) {
    sprintf(string, " ");
    return;
  }

  // special case 0:
  if (number == 0.0) {
    sprintf(string, "%1d", 0);
    return;
  }
  if (ne==0) {
    if (nd==0) {
      sprintf(string, "%*d", nl, (int)rint((double)number));
    }
    else
      sprintf(string, "%*.*f", nl, nd-1, number);
  }
  else {
    if (nd==0)
      sprintf(string, "%*.*e", nl, nd, number);
    else
      sprintf(string, "%*.*e", ne+1, nd-1, number);
  }
  return;
}

/*
 * Compute nice increment for linear plotting, given min and max.
 */
void
computeNiceLinInc(float *pmin, float *pmax, float *pinc)
{
  float fmin = *pmin, fmax = *pmax, finc = (fmax - fmin)/5.0, x;
  int n;

  if (finc <= 0.0) {
    fmin = (fmin>0.0? 0.9*fmin : 1.1*fmin);
    fmax = (fmax>0.0? 1.1*fmax : 0.9*fmax);
    finc = (fmax - fmin)/5.0;
    // for safety:
    if (finc < 0.0) {
      n = NXRunAlertPanel("computeNiceLinInc",
		      "Impossible increment = %g.\n"
		      "I'm very confused "
		      "(Perhaps all data is being ignored -- no lines, no symbols)",
		      "Quit", "Continue", NULL, finc);
      if (n==NX_ALERTDEFAULT)
	exit(0);
      else if (n==NX_ALERTALTERNATE) {
	*pmin = 0.0;
	*pmax = 1.0;
	*pinc = 0.2;
	return;
      }
    }
  }
  n = ( log10((double)finc) >= 0.0 ? (int)floor(log10((double)finc)) :
       (int)ceil(log10((double)finc)) );
  if (finc > 1.0) n++;
  x = finc * (float)pow((double)10.0, (double)(-n));
  finc = 0.1;
  if (x > 0.1)  finc = 0.2;
  if (x > 0.2)  finc = 0.25;
  if (x > 0.25) finc = 0.5;
  if (x > 0.5)  finc = 1.0;
  finc = finc * (float)pow((double)10.0, (double)n);

  if (fmin < ((int)(fmin/finc))*finc) fmin = ((int)(fmin/finc - 1))*finc;
  else                                fmin = ((int)(fmin/finc))*finc;

  if (fmax > ((int)(fmax/finc))*finc) fmax = ((int)(fmax/finc + 1))*finc;
  else                                fmax = ((int)(fmax/finc))*finc;

  *pmin = fmin;
  *pmax = fmax;
  *pinc = finc;
  return;
}


/*
 * Compute a nice min and max for logarithmic plotting (we take increment=1).
 */
void
computeNiceLogInc(float *pmin, float *pmax, float *pinc)
{
  float fmin, fmax, finc;
  int n;

  // for safety:
  if (*pmin <= 0.0 || *pmax <= 0.0) {
      n = NXRunAlertPanel("computeNiceLogInc",
		      "Impossible min/max = %g, %g.\n"
		      "I'm very confused "
		      "(Perhaps all data is being ignored -- no lines, no symbols)",
		      "Quit", "Continue", NULL, *pmin, *pmax);
      if (n==NX_ALERTDEFAULT)
	exit(0);
      else if (n==NX_ALERTALTERNATE) {
	*pmin = 1.0;
	*pmax = 10.0;
	*pinc = 1.0;
	return;
      }
    }

  fmin = (float)log10(*pmin);
  fmax = (float)log10(*pmax);
  finc = 1.0;

  fmin = (float) floor((double)fmin);
  fmax = (float) ceil((double)fmax);

  if (fmin == fmax) {
    fmin = fmin - 1.0;
    fmax = fmax + 1.0;
  }
  *pmin = (float)pow((double)10.0, (double)fmin);
  *pmax = (float)pow((double)10.0, (double)fmax);
  *pinc = (float)pow((double)10.0, (double)finc);
  return;
}

These are the contents of the former NiCE NeXT User Group NeXTSTEP/OpenStep software archive, currently hosted by Netfuture.ch.