File: plot2d.c

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#ifndef lint
static char    *RCSid = "$Id: plot2d.c,v 1.53 1998/06/18 14:55:14 ddenholm Exp $";
#endif

/* GNUPLOT - plot2d.c */

/*[
 * Copyright 1986 - 1993, 1998   Thomas Williams, Colin Kelley
 *
 * Permission to use, copy, and distribute this software and its
 * documentation for any purpose with or without fee is hereby granted,
 * provided that the above copyright notice appear in all copies and
 * that both that copyright notice and this permission notice appear
 * in supporting documentation.
 *
 * Permission to modify the software is granted, but not the right to
 * distribute the complete modified source code.  Modifications are to
 * be distributed as patches to the released version.  Permission to
 * distribute binaries produced by compiling modified sources is granted,
 * provided you
 *   1. distribute the corresponding source modifications from the
 *    released version in the form of a patch file along with the binaries,
 *   2. add special version identification to distinguish your version
 *    in addition to the base release version number,
 *   3. provide your name and address as the primary contact for the
 *    support of your modified version, and
 *   4. retain our contact information in regard to use of the base
 *    software.
 * Permission to distribute the released version of the source code along
 * with corresponding source modifications in the form of a patch file is
 * granted with same provisions 2 through 4 for binary distributions.
 *
 * This software is provided "as is" without express or implied warranty
 * to the extent permitted by applicable law.
]*/

#if defined(MSDOS) || defined(DOS386)
#ifdef DJGPP
#include <dos.h>
#else
#include <process.h>
#endif

#ifdef __ZTC__
#define P_WAIT 0
#else

#ifdef __TURBOC__
#ifndef _Windows
#include <conio.h>
#include <dir.h>    /* setdisk() */
#endif

#else				/* must be MSC */
#if !defined(__EMX__) && !defined(DJGPP)
#ifdef __MSC__
#include <direct.h>		/* for _chdrive() */
#endif
#endif				/* !__EMX__ && !DJGPP */
#endif				/* TURBOC */
#endif				/* ZTC */

#endif				/* MSDOS */

#include "plot.h"
#include "setshow.h"
#include "fit.h"
#include "binary.h"
#ifndef _Windows
#include "help.h"
#else
#define MAXSTR 255
#endif

#if defined(ATARI) || defined(MTOS)
#ifdef __PUREC__
#include <ext.h>
#include <tos.h>
#include <aes.h>
/* #include <float.h> - already in plot.h */
#else
#include <osbind.h>
#include <aesbind.h>
#endif /* __PUREC__ */
#endif /* ATARI || MTOS */

#ifndef STDOUT
#define STDOUT 1
#endif



#define inrange(z,min,max) ((min<max) ? ((z>=min)&&(z<=max)) : ((z>=max)&&(z<=min)) )


/* static prototypes */

void plotrequest __PROTO((void));
void plot3drequest __PROTO((void));
void define __PROTO((void));
static void get_data __PROTO((struct curve_points *this_plot));
static void store2d_point __PROTO((struct curve_points *this_plot, int i, double x, double y, double xlow, double xhigh, double ylow, double yhigh, double width));
static void print_table __PROTO((struct curve_points *first_plot, int plot_num));
static void eval_plots __PROTO((void));
static void parametric_fixup __PROTO((struct curve_points *start_plot, int *plot_num));


/* the curves/surfaces of the plot */
struct curve_points *first_plot = NULL;
static struct udft_entry plot_func;
extern struct udft_entry *dummy_func;

/* jev -- for passing data thru user-defined function */
/* static */ struct udft_entry ydata_func;  /* datafile.c needs access */

extern int datatype[];
extern char timefmt[];

extern TBOOLEAN is_3d_plot;
extern int plot_token;

/* in order to support multiple axes, and to
 * simplify ranging in parametric plots, we use
 * arrays to store some things.
 * Elements are z=0,y1=1,x1=2, [z2=4], y2=5, x2=6
 * these are given symbolic names in plot.h
 */

extern double          min_array[AXIS_ARRAY_SIZE], max_array[AXIS_ARRAY_SIZE];
extern int             auto_array[AXIS_ARRAY_SIZE];
extern TBOOLEAN        log_array[AXIS_ARRAY_SIZE];
extern double          base_array[AXIS_ARRAY_SIZE];
extern double          log_base_array[AXIS_ARRAY_SIZE];

/* if user specifies [10:-10] we use [-10:10] internally, and swap at end */
int reverse_range[AXIS_ARRAY_SIZE];

/* info from datafile module */
extern int df_datum;
extern int df_line_number;
extern int df_no_use_specs;
extern int df_eof;
extern int df_timecol[];
extern TBOOLEAN df_binary;

#define Inc_c_token if (++c_token >= num_tokens)	\
                        int_error ("Syntax error", c_token);


/*
 * IMHO, code is getting too cluttered with repeated chunks of
 * code. Some macros to simplify, I hope.
 *
 * do { } while(0) is comp.lang.c recommendation for complex macros
 * also means that break can be specified as an action, and it will
 * 
 */

/*  copy scalar data to arrays
 * optimiser should optimise infinite away
 * dont know we have to support ranges [10:-10] - lets reverse
 * it for now, then fix it at the end.
 */
#define INIT_ARRAYS(axis, min, max, auto, is_log, base, log_base, infinite) \
do{auto_array[axis]=auto; \
   min_array[axis]=(infinite && (auto&1)) ? VERYLARGE : min; \
   max_array[axis]=(infinite && (auto&2)) ? -VERYLARGE : max; \
   log_array[axis]=is_log; base_array[axis]=base; log_base_array[axis]=log_base;\
}while(0)
/* handle reversed ranges */
#define CHECK_REVERSE(axis) \
do{\
 if (auto_array[axis]==0 && max_array[axis] < min_array[axis]) {\
  double temp=min_array[axis]; min_array[axis]=max_array[axis]; max_array[axis]=temp;\
  reverse_range[axis]=1; \
 } else reverse_range[axis] = (range_flags[axis]&RANGE_REVERSE); \
}while(0)


/* get optional [min:max] */
#define LOAD_RANGE(axis) \
do {\
 if (equals(c_token, "[")) { \
  c_token++; \
  auto_array[axis] = load_range(axis,&min_array[axis], &max_array[axis], auto_array[axis]);\
  if (!equals(c_token, "]"))\
   int_error("']' expected", c_token);\
  c_token++;\
 }\
} while (0)


/* store VALUE or log(VALUE) in STORE, set TYPE as appropriate
 * Do OUT_ACTION or UNDEF_ACTION as appropriate
 * adjust range provided type is INRANGE (ie dont adjust y if x is outrange
 * VALUE must not be same as STORE
 */

#define STORE_WITH_LOG_AND_FIXUP_RANGE(STORE, VALUE, TYPE, AXIS, OUT_ACTION, UNDEF_ACTION)\
do { if (log_array[AXIS]) { if (VALUE<0.0) {TYPE=UNDEFINED; UNDEF_ACTION; break;} \
              else if (VALUE==0.0){STORE=-VERYLARGE; TYPE=OUTRANGE; OUT_ACTION; break;} \
              else { STORE=log(VALUE)/log_base_array[AXIS]; } \
     } else STORE=VALUE; \
     if (TYPE != INRANGE) break;  /* dont set y range if x is outrange, for example */ \
     if ( VALUE<min_array[AXIS] ) \
      if (auto_array[AXIS] & 1) min_array[AXIS]=VALUE; else { TYPE=OUTRANGE; OUT_ACTION; break; }  \
     if ( VALUE>max_array[AXIS] ) \
     if (auto_array[AXIS] & 2) max_array[AXIS]=VALUE; else { TYPE=OUTRANGE; OUT_ACTION; }   \
} while(0)
     
/* use this instead empty macro arguments to work around NeXT cpp bug */
/* if this fails on any system, we might use ((void)0) */
#define NOOP /* */

/* check axis range is not too small -
 * extend if you can (autoscale), else report error
 */
#ifdef HAVE_CPP_STRINGIFY
# define STRINGIFY(x) #x 
# define RANGE_MSG(x) #x " range is less than threshold : see `set zero`"
# define LOG_MSG(x) #x " range must be greater than 0 for log scale!"
#else
# define STRINGIFY(x) "x"
# define RANGE_MSG(x) "x range is less than threshold : `see zero`"
# define LOG_MSG(x) "x range must be greater than 0 for log scale!"
#endif
 
#define FIXUP_RANGE(AXIS, WHICH) \
do{if (fabs(max_array[AXIS] - min_array[AXIS]) < zero)    \
    if (auto_array[AXIS]) { /* widen range */  \
     fprintf(stderr, "Warning: empty %s range [%g:%g], ", STRINGIFY(WHICH), min_array[AXIS], max_array[AXIS]);      \
     if (fabs(min_array[AXIS]) < zero) { \
      if (auto_array[AXIS] & 1) min_array[AXIS] = -1.0; \
      if (auto_array[AXIS] & 2) max_array[AXIS] = 1.0;   \
     } else if (max_array[AXIS] < 0) { \
      if (auto_array[AXIS] & 1) min_array[AXIS] *= 1.1; if (auto_array[AXIS] & 2) max_array[AXIS] *= 0.9;    \
     } else { if (auto_array[AXIS] & 1) min_array[AXIS] *= 0.9; if (auto_array[AXIS] & 2) max_array[AXIS] *= 1.1;  }  \
     fprintf(stderr, "adjusting to [%g:%g]\n", min_array[AXIS], max_array[AXIS]);          \
    } else int_error(RANGE_MSG(WHICH), c_token);   \
}while(0)

/* check range and take logs of min and max if logscale
 * this also restores min and max for ranges like [10:-10]
 */

#define FIXUP_RANGE_FOR_LOG(AXIS, WHICH) \
do { if (reverse_range[AXIS]) { \
      double temp = min_array[AXIS]; \
      min_array[AXIS]=max_array[AXIS]; \
      max_array[AXIS]=temp; \
     }\
     if (log_array[AXIS]) { \
      if (min_array[AXIS]<=0.0 || max_array[AXIS]<=0.0) \
       int_error(LOG_MSG(WHICH), NO_CARET); \
      min_array[AXIS] = log(min_array[AXIS])/log_base_array[AXIS]; \
      max_array[AXIS] = log(max_array[AXIS])/log_base_array[AXIS];  \
} } while(0)



void plotrequest()
/*
 * In the parametric case we can say plot [a= -4:4] [-2:2] [-1:1] sin(a),a**2
 * while in the non-parametric case we would say only plot [b= -2:2] [-1:1]
 * sin(b)
 */
{
    int             dummy_token = -1;

    if (!term)			/* unknown */
	int_error("use 'set term' to set terminal type first", c_token);

    is_3d_plot = FALSE;

    if (parametric && strcmp(dummy_var[0], "u") == 0)
	strcpy(dummy_var[0], "t");

    /* initialise the arrays from the 'set' scalars */
     
    INIT_ARRAYS(FIRST_X_AXIS, xmin, xmax, autoscale_x, is_log_x, base_log_x, log_base_log_x, 0);
    INIT_ARRAYS(FIRST_Y_AXIS, ymin, ymax, autoscale_y, is_log_y, base_log_y, log_base_log_y, 1);
    INIT_ARRAYS(SECOND_X_AXIS, x2min, x2max, autoscale_x2, is_log_x2, base_log_x2, log_base_log_x2, 0);
    INIT_ARRAYS(SECOND_Y_AXIS, y2min, y2max, autoscale_y2, is_log_y2, base_log_y2, log_base_log_y2, 1);

    min_array[T_AXIS]=tmin; max_array[T_AXIS]=tmax;

    if (equals(c_token, "[")) {
	c_token++;
	if (isletter(c_token)) {
	    if (equals(c_token + 1, "=")) {
		dummy_token = c_token;
		c_token += 2;
	    } else {
		/* oops; probably an expression with a variable. */
		/* Parse it as an xmin expression. */
		/* used to be: int_error("'=' expected",c_token); */
	    }
	}
	
	{   int axis=(parametric||polar) ? T_AXIS : FIRST_X_AXIS;


	    auto_array[axis] = load_range(axis,&min_array[axis], &max_array[axis], auto_array[axis]);
	    if (!equals(c_token, "]"))
		int_error("']' expected", c_token);
	    c_token++;
	} /* end of scope of 'axis' */
    } /* first '[' */
    

    
    if (parametric||polar)	/* set optional x ranges */
	LOAD_RANGE(FIRST_X_AXIS);
    else {
 	/* order of t doesn't matter, but x does */
	CHECK_REVERSE(FIRST_X_AXIS);
    }

    LOAD_RANGE(FIRST_Y_AXIS);
    CHECK_REVERSE(FIRST_Y_AXIS);
    LOAD_RANGE(SECOND_X_AXIS);
    CHECK_REVERSE(SECOND_X_AXIS);
    LOAD_RANGE(SECOND_Y_AXIS);
    CHECK_REVERSE(SECOND_Y_AXIS);

    /* use the default dummy variable unless changed */
    if (dummy_token >= 0)
	copy_str(c_dummy_var[0], dummy_token, MAX_ID_LEN);
    else
	(void) strcpy(c_dummy_var[0], dummy_var[0]);

    eval_plots();
}

#define NCOL 7          /* Use up to 7 columns in data file at once --
                           originally it was 5 */


/* A quick note about boxes style. For boxwidth auto, we cannot
 * calculate widths yet, since it may be sorted, etc. But if
 * width is set, we must do it now, before logs of xmin/xmax
 * are taken.
 * We store -1 in point->z as a marker to mean width needs to be
 * calculated, or 0 to mean that xmin/xmax are set correctly
 */

 
static void get_data(this_plot)
struct curve_points *this_plot;
/* this_plot->token is after datafile spec, for error reporting
 * it will later be moved passed title/with/linetype/pointtype
 */
{
	register int    i /* num. points ! */, j,col;
	double v[NCOL];
	int storetoken=this_plot->token;

	/* eval_plots has already opened file */

	switch(this_plot->plot_style){            /* set maximum columns to scan */
		case XYERRORBARS:
		case BOXXYERROR:  
			col = 7; 
			break;

		case BOXERROR:    
		case FINANCEBARS:
		case CANDLESTICKS:
			col = 5; 
			break;

		case XERRORBARS:
		case YERRORBARS:
		case VECTOR:
			col = 4; 
			break;

		case BOXES:       
			col = 4;
			break;

		default:          
			col = 2;
	}

	if (this_plot->plot_smooth == ACSPLINES)
	  col = 3;

	if (df_no_use_specs > col)
		fprintf(stderr, "warning : too many using specs for this style\n");

	i = 0;
	while ( (j = df_readline(v, col)) != DF_EOF)  {
		/* j <= col */

		if (i >= this_plot->p_max) {
			/*
			 * overflow about to occur. Extend size of points[] array. We
			 * either double the size, or add 1000 points, whichever is a
			 * smaller increment. Note i=p_max.
			 */
			cp_extend(this_plot, i + (i < 1000 ? i : 1000));
		}


		/* Limitation: No xerrorbars with boxes */
		switch (j) {
		default:
			{	char message[80];
				sprintf(message, "internal error : df_readline returned %d : datafile line %d", j, df_line_number);
				df_close();
				int_error(message, c_token);
			}
		case DF_UNDEFINED:
			/* bad result from extended using expression */
			this_plot->points[i].type = UNDEFINED;
			i++;
			continue;

		case DF_FIRST_BLANK:
			/* break in data, make next point undefined */
			this_plot->points[i].type = UNDEFINED;
			i++;
			continue;

		case DF_SECOND_BLANK:
			/* second blank line. We dont do anything
			 * (we did everything when we got FIRST one)
			 */
			 continue;
		
		case 0: /* not blank line, but df_readline couldn't parse it */
			{
				char message[80];
				sprintf(message, "Bad data on line %d", df_line_number);
				df_close();
				int_error(message, this_plot->token);
			}
			
		case 1:
			{		/* only one number */
				/* x is index, assign number to y */
				v[1]=v[0];
				v[0]=df_datum;
				/* nobreak */
			}

		case 2: 
			/* x, y */
			/* ylow and yhigh are same as y */

			if (this_plot->plot_style == BOXES && boxwidth > 0)
			{
				/* calc width now */
				store2d_point(this_plot, i++, v[0], v[1], v[0]-boxwidth/2, v[0]+boxwidth/2, v[1], v[1], 0.0);
			}
			else
			{
				/* xlow and xhigh are same as x */
				store2d_point(this_plot, i++, v[0], v[1], v[0], v[0], v[1], v[1],
				-1.0); /* auto width if boxes, else ignored */
			}
			break;


		case 3:
			/* x, y, ydelta OR x, y, xdelta OR x, y, width */
			if(this_plot->plot_smooth == ACSPLINES)
       			store2d_point(this_plot, i++, v[0], v[1], v[0], v[0], v[1], v[1], v[2]);
			else
				switch(this_plot->plot_style)
				{
					default:
						int_warn("This plot style not work with 3 cols. Setting to yerrorbars", storetoken);
						this_plot->plot_style = YERRORBARS;
						/* fall through */
						
					case YERRORBARS:
					case BOXERROR: /* x, y, dy */
						store2d_point(this_plot, i++, v[0], v[1], v[0], v[0], v[1]-v[2], v[1]+v[2],
						  -1.0); /* auto width if boxes, else ignored */
						 break;
						  
					case XERRORBARS:
						store2d_point(this_plot, i++, v[0], v[1], v[0]-v[2], v[0]+v[2], v[1], v[1], 0.0);
						break;

					case BOXES:
						/* calculate xmin and xmax here, so that logs are taken if
						 * if necessary
						 */
						store2d_point(this_plot, i++, v[0], v[1], v[0]-v[2]/2, v[0]+v[2]/2, v[1], v[1], 0.0);
						break;

				} /*inner switch*/
				
			break;


			
		case 4:
			/* x, y, ylow, yhigh OR
			 * x, y, xlow, xhigh OR
			 * x, y, xdelta, ydelta OR
			 * x, y, ydelta, width
			 */

			 switch (this_plot->plot_style)
			 {
			 	default:
					int_warn("This plot style not work with 4 cols. Setting to yerrorbars",
					    storetoken);
					this_plot->plot_style = YERRORBARS;
					/* fall through */

				case YERRORBARS:
					store2d_point(this_plot, i++, v[0], v[1], v[0], v[0], v[2], v[3], -1.0);
					break;
					
				case BOXXYERROR: /* x, y, dx, dy */
				case XYERRORBARS:
					store2d_point(this_plot, i++, v[0], v[1], v[0]-v[2], v[0]+v[2], v[1]-v[3], v[1]+v[3], 0.0);
					break;
					

				case BOXES: /* x, y, xmin, xmax */
					store2d_point(this_plot, i++, v[0], v[1], v[2], v[3], v[1], v[1], 0.0);
					break;

				case XERRORBARS:
					store2d_point(this_plot, i++, v[0], v[1], v[2], v[3], v[1], v[1], 0.0);
					break;

				case BOXERROR:
					/* x,y, xleft, xright */
					store2d_point(this_plot, i++, v[0], v[1], v[0],v[0], v[1]-v[2], v[1]+v[2], 0.0);
					break;

				case VECTOR:
					/* x,y,dx,dy */
					store2d_point(this_plot, i++, v[0], v[1], v[0], v[0]+v[2], v[1], v[1]+v[3], -1.0);
					break;
			 } /*inner switch*/

			break;

			
		case 5: 
			{		/* x, y, ylow, yhigh, width  or  x open low high close */
				switch(this_plot->plot_style)
				{
					default:
						int_warn("Five col. plot style must be boxerrorbars, financebars or candlesticks. Setting to boxerrorbars", storetoken);
						this_plot->plot_style = BOXERROR;
						/*fall through*/

					case BOXERROR: /* x, y, ylow, yhigh, width */
						store2d_point(this_plot, i++, v[0], v[1], v[0]-v[4]/2, v[0]+v[4]/2, v[2], v[3], 0.0);
						break;
						
					case FINANCEBARS:
					case CANDLESTICKS:
						store2d_point(this_plot, i++, v[0], v[1], v[0], v[0], v[2], v[3], v[4]);
						break;
				}
				break;
			}
			
		case 7: 
			/* same as six columns. Width ignored */
			/* eh ? - fall through */
		case 6:
				/* x, y, xlow, xhigh, ylow, yhigh */
				switch (this_plot->plot_style)
				{
					default:
						int_warn("This plot style not work with 6 cols. Setting to xyerrorbars",storetoken);
						this_plot->plot_style = XYERRORBARS;
						/*fall through*/
					case XYERRORBARS:
					case BOXXYERROR:
						store2d_point(this_plot, i++, v[0], v[1], v[2], v[3], v[4], v[5], 0.0);
						break;
				}
				
		} /*switch*/
		
	} /*while*/
	
	this_plot->p_count = i;
	cp_extend(this_plot, i);	/* shrink to fit */

	df_close();
}

/* called by get_data for each point */
static void store2d_point(this_plot, i, x, y, xlow, xhigh, ylow, yhigh, width)
    struct curve_points *this_plot;
    int             i;		/* point number */
    double          x, y;
    double          ylow, yhigh;
    double          xlow, xhigh;
    double          width; /* -1 means autocalc, 0 means use xmin/xmax */
{
    struct coordinate GPHUGE *cp = &(this_plot->points[i]);
    int dummy_type=INRANGE; /* sometimes we dont care about outranging */


    /* jev -- pass data values thru user-defined function */
    /* div -- y is dummy variable 2 - copy value there */
    if (ydata_func.at) {
	struct value    val;

	(void) Gcomplex(&ydata_func.dummy_values[0], y, 0.0);
	ydata_func.dummy_values[2] = ydata_func.dummy_values[0];
	evaluate_at(ydata_func.at, &val);
	y = undefined ? 0.0 : real(&val);

	(void) Gcomplex(&ydata_func.dummy_values[0], ylow, 0.0);
	ydata_func.dummy_values[2] = ydata_func.dummy_values[0];
	evaluate_at(ydata_func.at, &val);
	ylow = undefined ? 0 : real(&val);

	(void) Gcomplex(&ydata_func.dummy_values[0], yhigh, 0.0);
	ydata_func.dummy_values[2] = ydata_func.dummy_values[0];
	evaluate_at(ydata_func.at, &val);
	yhigh = undefined ? 0 : real(&val);
    }

    dummy_type = cp->type=INRANGE;

    if (polar) {
    	double newx, newy;
	if ( !(autoscale_r&2) && y>rmax)
		cp->type=OUTRANGE;
	if ( !(autoscale_r&1) )
		y -= rmin; /* we store internally as if plotting r(t)-rmin */
	newx = y*cos(x * ang2rad);
	newy = y*sin(x * ang2rad);
	y = ylow = yhigh = newy; /* only lines and points supported with polar */
	x = xlow = xhigh = newx;
    }

    /* return immediately if x or y are undefined
     * we dont care if outrange for high/low.
     * BUT if high/low undefined (ie log( < 0 ), no number is stored, but graphics.c doesn't know.
     * explicitly store -VERYLARGE;
     */
    STORE_WITH_LOG_AND_FIXUP_RANGE(cp->x, x, cp->type, this_plot->x_axis, NOOP, return );
    STORE_WITH_LOG_AND_FIXUP_RANGE(cp->xlow, xlow, dummy_type, this_plot->x_axis, NOOP, cp->xlow=-VERYLARGE);
    STORE_WITH_LOG_AND_FIXUP_RANGE(cp->xhigh, xhigh, dummy_type, this_plot->x_axis, NOOP, cp->xhigh=-VERYLARGE);
    STORE_WITH_LOG_AND_FIXUP_RANGE(cp->y, y, cp->type, this_plot->y_axis, NOOP, return );
    STORE_WITH_LOG_AND_FIXUP_RANGE(cp->ylow, ylow, dummy_type, this_plot->y_axis, NOOP,cp->ylow=-VERYLARGE);
    STORE_WITH_LOG_AND_FIXUP_RANGE(cp->yhigh, yhigh, dummy_type, this_plot->y_axis, NOOP,cp->yhigh=-VERYLARGE);
    cp->z = width;
} /* store2d_point */



/*
 * print_points: a debugging routine to print out the points of a curve, and
 * the curve structure. If curve<0, then we print the list of curves.
 */

#if 0 /* not used */
static char    *plot_type_names[4] =
{
    "Function", "Data", "3D Function", "3d data"
};
static char    *plot_style_names[14] =
{
    "Lines", "Points", "Impulses", "LinesPoints", "Dots", "XErrorbars",
    "YErrorbars", "XYErrorbars", "BoxXYError", "Boxes", "Boxerror", "Steps",
    "FSteps", "Vector"
};
static char    *plot_smooth_names[5] =
{
    "None", "Unique", "CSplines", "ACSplines", "Bezier", "SBezier"
};

static void print_points(curve)
    int             curve;	/* which curve to print */
{
    register struct curve_points *this_plot;
    int             i;

    if (curve < 0) {
	for (this_plot = first_plot, i = 0;
	     this_plot != NULL;
	     i++, this_plot = this_plot->next_cp) {
	    printf("Curve %d:\n", i);
	    if ((int) this_plot->plot_type >= 0 && (int) (this_plot->plot_type) < 4)
		printf("Plot type %d: %s\n", (int) (this_plot->plot_type),
		       plot_type_names[(int) (this_plot->plot_type)]);
	    else
		printf("Plot type %d: BAD\n", (int) (this_plot->plot_type));
	    if ((int) this_plot->plot_style >= 0 && (int) (this_plot->plot_style) < 14)
		printf("Plot style %d: %s\n", (int) (this_plot->plot_style),
		       plot_style_names[(int) (this_plot->plot_style)]);
	    else
		printf("Plot style %d: BAD\n", (int) (this_plot->plot_style));
	    if ((int) this_plot->plot_smooth >= 0 && (int) (this_plot->plot_smooth) < 6)
		printf("Plot smooth style %d: %s\n", (int) (this_plot->plot_style),
		       plot_smooth_names[(int) (this_plot->plot_smooth)]);
	    else
		printf("Plot smooth style %d: BAD\n", (int) (this_plot->plot_smooth));
	    printf("Plot title: '%s'\n", this_plot->title);
	    printf("Line type %d\n", this_plot->line_type);
	    printf("Point type %d\n", this_plot->point_type);
	    printf("max points %d\n", this_plot->p_max);
	    printf("current points %d\n", this_plot->p_count);
	    printf("\n");
	}
    } else {
	for (this_plot = first_plot, i = 0;
	     i < curve && this_plot != NULL;
	     i++, this_plot = this_plot->next_cp);
	if (this_plot == NULL)
	    printf("Curve %d does not exist; list has %d curves\n", curve, i);
	else {
	    printf("Curve %d, %d points\n", curve, this_plot->p_count);
	    for (i = 0; i < this_plot->p_count; i++) {
                printf("%c x=%g y=%g z=%g xlow=%g xhigh=%g ylow=%g yhigh=%g\n",
		       this_plot->points[i].type == INRANGE ? 'i'
		       : this_plot->points[i].type == OUTRANGE ? 'o'
		       : 'u',
		       this_plot->points[i].x,
		       this_plot->points[i].y,
		       this_plot->points[i].z,
                       this_plot->points[i].xlow,
                       this_plot->points[i].xhigh,
		       this_plot->points[i].ylow,
		       this_plot->points[i].yhigh);
	    }
	    printf("\n");
	}
    }
}
#endif /* not used */

static void print_table(this_plot, plot_num)
struct curve_points *this_plot;
int plot_num;
{
    int             i, curve;

    for (curve = 0; curve < plot_num;
	 curve++, this_plot = this_plot->next_cp) {
	fprintf(outfile, "#Curve %d, %d points\n#x y type\n", curve, this_plot->p_count);
	for (i = 0; i < this_plot->p_count; i++) {
	    fprintf(outfile, "%g %g %c\n",
		    this_plot->points[i].x,
		    this_plot->points[i].y,
		    this_plot->points[i].type == INRANGE ? 'i'
		    : this_plot->points[i].type == OUTRANGE ? 'o'
		    : 'u');
	}
	fprintf(outfile, "\n");
    }
    fprintf(outfile, "\n"); /* two blank lines between plots in table output */
    fflush(outfile);
}

/*
 * This parses the plot command after any range specifications. To support
 * autoscaling on the x axis, we want any data files to define the x range,
 * then to plot any functions using that range. We thus parse the input
 * twice, once to pick up the data files, and again to pick up the functions.
 * Definitions are processed twice, but that won't hurt.
 * div - okay, it doesn't hurt, but every time an option as added for
 * datafiles, code to parse it has to be added here. Change so that
 * we store starting-token in the plot structure.
 */
static void eval_plots()
{
    register int    i;
    register struct curve_points *this_plot, **tp_ptr;

    int            some_functions=0;
    int             plot_num, line_num, point_num, xparam = 0;
    char           *xtitle;
    int begin_token = c_token; /* so we can rewind for second pass */

    int uses_axis[AXIS_ARRAY_SIZE];

    uses_axis[FIRST_X_AXIS] =
    uses_axis[FIRST_Y_AXIS] =
    uses_axis[SECOND_X_AXIS] =
    uses_axis[SECOND_Y_AXIS] = 0;
    
    /* Reset first_plot. This is usually done at the end of this function.
       If there is an error within this function, the memory is left allocated,
       since we cannot call cp_free if the list is incomplete. Making sure that
       the list structure is always vaild requires some rewriting */
    first_plot=NULL;

    tp_ptr = &(first_plot);
    plot_num = 0;
    line_num = 0;		/* default line type */
    point_num = 0;		/* default point type */

    xtitle = NULL;

    /*** First Pass: Read through data files ***
     * This pass serves to set the xrange and to parse the command, as well
     * as filling in every thing except the function data. That is done after
     * the xrange is defined.
     */
    while (TRUE) {
	if (END_OF_COMMAND)
	    int_error("function to plot expected", c_token);

	if (is_definition(c_token)) {
	    define();
	} else {
	    int x_axis = 0, y_axis = 0;
	    int specs;

	    /* for datafile plot, record datafile spec for title */
	    int    start_token = c_token, end_token;
	    
	    plot_num++;

	    if (isstring(c_token)) {	/* data file to plot */
	    	
		if (parametric && xparam)
		    int_error("previous parametric function not fully specified",
			      c_token);

		if (*tp_ptr)
		    this_plot = *tp_ptr;
		else {		/* no memory malloc()'d there yet */
		    this_plot = cp_alloc(MIN_CRV_POINTS);
		    *tp_ptr = this_plot;
		}
		this_plot->plot_type = DATA;
		this_plot->plot_style = data_style;
		this_plot->plot_smooth = NONE;

		specs = df_open(NCOL);  /* up to NCOL cols */
		/* this parses data-file-specific modifiers only */
		/* we'll sort points when we know style, if necessary */
		if (df_binary)
			int_error("2d binary files not yet supported", c_token);

		this_plot->token = end_token = c_token-1;  /* include modifiers in default title */

	    } else {

		/* function to plot */

		some_functions=1;
		if (parametric)	/* working on x parametric function */
		    xparam = 1 - xparam;
		if (*tp_ptr) {
		    this_plot = *tp_ptr;
		    cp_extend(this_plot, samples + 1);
		} else {	/* no memory malloc()'d there yet */
		    this_plot = cp_alloc(samples + 1);
		    *tp_ptr = this_plot;
		}
		this_plot->plot_type = FUNC;
		this_plot->plot_style = func_style;
		dummy_func = &plot_func;
		plot_func.at = temp_at();
		dummy_func = NULL;
		/* ignore it for now */
		end_token = c_token - 1;
	} /* end of IS THIS A FILE OR A FUNC block */

	
	/*  deal with smooth */
	if (almost_equals(c_token,"s$mooth")) {
	    
	    if (END_OF_COMMAND)
	      int_error("expecting smooth parameter", c_token);
	    else {
		c_token++;
		if (almost_equals(c_token,"u$nique"))
		    this_plot->plot_smooth = UNIQUE;
		else if (almost_equals(c_token,"a$csplines"))
		    this_plot->plot_smooth = ACSPLINES;
		else if (almost_equals(c_token,"c$splines"))
		    this_plot->plot_smooth = CSPLINES;
		else if (almost_equals(c_token,"b$ezier"))
		    this_plot->plot_smooth = BEZIER;
		else if (almost_equals(c_token,"s$bezier"))
		    this_plot->plot_smooth = SBEZIER;
		else int_error("expecting 'unique', 'acsplines', 'csplines', 'bezier' or 'sbezier'", c_token);
	    }
	    this_plot->plot_style = LINES;
	    c_token++;	/* skip format */
	}


	/* look for axes/axis */

	if (almost_equals(c_token, "ax$es") || almost_equals(c_token, "ax$is"))
	{
		if (parametric && xparam)
			int_error("previous parametric function not fully specified", c_token);
	
		if (equals(++c_token, "x1y1")) {
			x_axis=FIRST_X_AXIS;
			y_axis=FIRST_Y_AXIS;
			++c_token;
		} else if (equals(c_token, "x2y2")) {
			x_axis=SECOND_X_AXIS;
			y_axis=SECOND_Y_AXIS;
			++c_token;
		} else if (equals(c_token, "x1y2")) {
			x_axis=FIRST_X_AXIS;
			y_axis=SECOND_Y_AXIS;
			++c_token;
		} else if (equals(c_token, "x2y1")) {
			x_axis=SECOND_X_AXIS;
			y_axis=FIRST_Y_AXIS;
			++c_token;
		} else
			int_error("axes must be x1y1, x1y2, x2y1 or x2y2", c_token);
	}
	else
	{
		x_axis = FIRST_X_AXIS;
		y_axis = FIRST_Y_AXIS;
	}
	

	this_plot->x_axis = x_axis;
	this_plot->y_axis = y_axis;

	/* we can now do some checks that we deferred earlier */

	if (this_plot->plot_type == DATA)
	{
		if (!(uses_axis[x_axis]&1) && autoscale_lx) {
		    if (auto_array[x_axis] & 1)
		    	min_array[x_axis] = VERYLARGE;
		    if (auto_array[x_axis] & 2)
		    	max_array[x_axis] = -VERYLARGE;
		}

		if (datatype[x_axis]==TIME) {
			if (specs < 2)
				int_error("Need full using spec for x time data", c_token);
			df_timecol[0]=1;
		}
		
		if (datatype[y_axis]==TIME) {
			if (specs < 1)
				int_error("Need using spec for y time data", c_token);
			df_timecol[y_axis]=1;  /* need other cols, but I'm lazy */
		}
		

		uses_axis[x_axis] |= 1; /* separate record of datafile and func */
		uses_axis[y_axis] |= 1;
	}
	else if (!parametric || !xparam)
	{
		/* for x part of a parametric function, axes are possibly wrong */
		uses_axis[x_axis] |= 2; /* separate record of data and func */
		uses_axis[y_axis] |= 2;
	}
	
	
	if (almost_equals(c_token, "t$itle")) {
		if (parametric) {
		    if (xparam)
			int_error(
				     "\"title\" allowed only after parametric function fully specified",
				     c_token);
		    else if (xtitle != NULL)
			xtitle[0] = '\0';	/* Remove default title . */
		}
		c_token++;
		if (isstring(c_token)) {
		    m_quote_capture(&(this_plot->title), c_token, c_token);
		} else {
		    int_error("expecting \"title\" for plot", c_token);
		}
		c_token++;
	} else if (almost_equals(c_token, "not$itle")) {
		if (xtitle != NULL)
			xtitle[0] = '\0';
	        c_token++;
	} else {
		m_capture(&(this_plot->title), start_token, end_token);
		if (xparam)
		    xtitle = this_plot->title;
	}


	if (almost_equals(c_token, "w$ith")) {
		if (parametric && xparam)
		    int_error("\"with\" allowed only after parametric function fully specified",
			      c_token);
		this_plot->plot_style = get_style();
	}

	/* pick up line/point specs
	 * - point spec allowed if style uses points, ie style&2 != 0
	 * - keywords for lt and pt are optional
	 */
	LP_PARSE(this_plot->lp_properties, 1, this_plot->plot_style & 2,
	   line_num, point_num);

	/* allow old-style syntax too - ignore case lt 3 4 for example */
	if (!equals(c_token, ",") && !END_OF_COMMAND)
	{
		struct value t;
		this_plot->lp_properties.l_type =
		this_plot->lp_properties.p_type = (int) real(const_express(&t)) - 1;

		if (!equals(c_token, ",") && !END_OF_COMMAND)
			this_plot->lp_properties.p_type = (int) real(const_express(&t)) - 1;
	}
		
	if (!xparam) {
		if (this_plot->plot_style & 2) /* style includes points */
			++point_num;
		++line_num;
	}

	
	    if (this_plot->plot_type == DATA)
	    {
	    	/* actually get the data now */
	    	get_data(this_plot);

	    	/* sort */
                switch(this_plot->plot_smooth){   /* sort and average, if */
                   case UNIQUE:                   /* the style requires   */
                   case CSPLINES:
                   case ACSPLINES:
                   case SBEZIER:  sort_points(this_plot);
                                  cp_implode(this_plot);
				  break;
		   default:
					;	  /* keep gcc -Wall happy */
                }
                switch(this_plot->plot_smooth){   /* create new data set     */
                   case SBEZIER:                  /* by evaluation of        */
                   case BEZIER:                   /* interpolation routines  */
                   case ACSPLINES:
                   case CSPLINES: gen_interp(this_plot);
			break;
		   default:
		   			; /* keep gcc -Wall happy */
                }

                /* now that we know the plot style, adjust the x- and yrange */
                /* adjust_range(this_plot); no longer needed */
	    }
	    
	    this_plot->token = c_token;  /* save end of plot for second pass */
	    tp_ptr = &(this_plot->next_cp);
	    
	} /* !is_defn */

	if (equals(c_token, ","))
	    c_token++;
	else
	    break;
    }

    if (parametric && xparam)
	int_error("parametric function not fully specified", NO_CARET);


    /*** Second Pass: Evaluate the functions ***/
    /*
     * Everything is defined now, except the function data. We expect no
     * syntax errors, etc, since the above parsed it all. This makes the code
     * below simpler. If autoscale_ly, the yrange may still change.
     * we stored last token of each plot, so we dont need to do everything again
     */

    /* give error if xrange badly set from missing datafile error
     * parametric or polar fns can still affect x ranges
     */

     if (!parametric && !polar) {
	if (min_array[FIRST_X_AXIS] == VERYLARGE ||
	    max_array[FIRST_X_AXIS] == -VERYLARGE)
		int_error("x range is invalid", c_token);
	/* check that xmin -> xmax is not too small */
	FIXUP_RANGE(FIRST_X_AXIS, x);

	if (uses_axis[SECOND_X_AXIS] & 1) {
		/* some data plots with x2 */
		if (min_array[SECOND_X_AXIS] == VERYLARGE ||
        	    max_array[SECOND_X_AXIS] == -VERYLARGE)
			int_error("x2 range is invalid", c_token);
		/* check that x2min -> x2max is not too small */
		FIXUP_RANGE(SECOND_X_AXIS, x);
        } else if (auto_array[SECOND_X_AXIS]) {
		/* copy x1's range */
		if (auto_array[SECOND_X_AXIS] & 1)
			min_array[SECOND_X_AXIS]=min_array[FIRST_X_AXIS];
		if (auto_array[SECOND_X_AXIS] & 2)
			max_array[SECOND_X_AXIS]=max_array[FIRST_X_AXIS];
	}
    }

    
  if (some_functions) {

    /* call the controlled variable t, since x_min can also mean smallest x */
    double t_min, t_max, t_step;

    if (parametric || polar) {
	if (!(uses_axis[FIRST_X_AXIS]&1)) {
		/* these have not yet been set to full width */
		if (auto_array[FIRST_X_AXIS] & 1) min_array[FIRST_X_AXIS] = VERYLARGE;
		if (auto_array[FIRST_X_AXIS] & 2) max_array[FIRST_X_AXIS] = -VERYLARGE;
	}
	if (!(uses_axis[SECOND_X_AXIS]&1)) {
		if (auto_array[SECOND_X_AXIS] & 1) min_array[SECOND_X_AXIS] = VERYLARGE;
		if (auto_array[SECOND_X_AXIS] & 2) max_array[SECOND_X_AXIS] = -VERYLARGE;
	}
    }
    
#define SET_DUMMY_RANGE(AXIS) \
do{ assert(!polar && !parametric); \
 if (log_array[AXIS]) {\
  if (min_array[AXIS] <= 0.0 || max_array[AXIS] <= 0.0)\
   int_error("x/x2 range must be greater than 0 for log scale!", NO_CARET);\
  t_min = log(min_array[AXIS])/log_base_array[AXIS]; t_max = log(max_array[AXIS])/log_base_array[AXIS];\
 } else {\
  t_min = min_array[AXIS]; t_max = max_array[AXIS];\
 }\
 t_step = (t_max - t_min) / (samples - 1); \
}while(0)

    if (parametric || polar) {
    	t_min = min_array[T_AXIS];
    	t_max = max_array[T_AXIS];
    	t_step = (t_max-t_min) /  (samples-1);
    }
    /* else we'll do it on each plot */

    tp_ptr = &(first_plot);
    plot_num = 0;
    this_plot = first_plot;
    c_token = begin_token;	/* start over */

    /* Read through functions */
    while (TRUE) {
	if (is_definition(c_token)) {
	    define();
	} else {
	    int x_axis = this_plot->x_axis;
	    int y_axis = this_plot->y_axis;
	    
	    plot_num++;
	    if (!isstring(c_token))  {   /* function to plot */
		if (parametric) {	/* toggle parametric axes */
		    xparam = 1 - xparam;
		}
		dummy_func = &plot_func;
		plot_func.at = temp_at();	/* reparse function */
		
		if (!parametric && !polar)
		{
		    SET_DUMMY_RANGE(x_axis);
		}
    

		for (i = 0; i < samples; i++) {
		    double temp;
		    struct value a;
		    double t = t_min + i * t_step;
		   /* parametric/polar => NOT a log quantity */
		    double x = (!parametric && !polar &&
		      log_array[x_axis]) ? pow(base_array[x_axis], t) : t;
		        
		    (void) Gcomplex(&plot_func.dummy_values[0], x, 0.0);
		    evaluate_at(plot_func.at, &a);

		    if (undefined || (fabs(imag(&a)) > zero)) {
			this_plot->points[i].type = UNDEFINED;
			continue;
		    }

		    temp = real(&a);

		    this_plot->points[i].z = -1.0;  /* width of box not specified */
		    this_plot->points[i].type = INRANGE;  /* for the moment */

		    if (parametric) {
			/* we cannot do range-checking now, since for
			 * the x function we did not know which axes
			 * we were using
			 * DO NOT TAKE LOGS YET - do it in parametric_fixup
			 */
			this_plot->points[i].x = t; /* ignored, actually... */
			this_plot->points[i].y = temp;
		    } else if (polar) {
			double y;
			if ( !(autoscale_r&2) && temp>rmax)
				this_plot->points[i].type=OUTRANGE;
			if ( !(autoscale_r&1))
				temp -= rmin;
			y = temp * sin(x * ang2rad);
			x = temp * cos(x * ang2rad);
			temp=y;
			STORE_WITH_LOG_AND_FIXUP_RANGE(this_plot->points[i].x, x, this_plot->points[i].type,
			  x_axis, NOOP, goto come_here_if_undefined);
			STORE_WITH_LOG_AND_FIXUP_RANGE(this_plot->points[i].y, y, this_plot->points[i].type,
			  y_axis, NOOP, goto come_here_if_undefined);
		    } else { /* neither parametric or polar */
			    /* If non-para, it must be INRANGE */
		            this_plot->points[i].x = t; /* logscale ? log(x) : x */

			    STORE_WITH_LOG_AND_FIXUP_RANGE(this_plot->points[i].y, temp, this_plot->points[i].type,
			      y_axis + (x_axis-y_axis)*xparam, NOOP, goto come_here_if_undefined);

			    come_here_if_undefined: /* could not use a continue in this case */
			    ; /* ansi requires a statement after a label */
		    }
		    
		} /* loop over samples */
		this_plot->p_count = i;	/* samples */
	    }

	    c_token = this_plot->token;  /* skip all modifers func / whole of data plots */

	    tp_ptr = &(this_plot->next_cp);	/* used below */
	    this_plot = this_plot->next_cp;
	}

	if (equals(c_token, ","))
	    c_token++;
	else
	    break;
    }

    if (parametric) {
	/* Now actually fix the plot pairs to be single plots */
	/* also fixes up polar&&parametric fn plots */
	parametric_fixup(first_plot, &plot_num);
	/* we omitted earlier check for range too small */
	FIXUP_RANGE(FIRST_X_AXIS, x);
	if (uses_axis[SECOND_X_AXIS]) {
 		FIXUP_RANGE(SECOND_X_AXIS, x2);
	}
    }

  }  /* some_functions */

    /* throw out all curve_points at end of list, that we don't need  */
    cp_free(*tp_ptr);
    *tp_ptr = NULL;

    
    /* if first_plot is NULL, we have no functions or data at all. This can
       happen, if you type "plot x=5", since x=5 is a variable assignment */

    if (plot_num==0 || first_plot==NULL) {
	int_error("no functions or data to plot", c_token);
    }

    if (uses_axis[FIRST_X_AXIS]) {
	if (max_array[FIRST_X_AXIS] == -VERYLARGE ||
	    min_array[FIRST_X_AXIS] ==  VERYLARGE)
	   int_error("all points undefined!", NO_CARET);
	FIXUP_RANGE_FOR_LOG(FIRST_X_AXIS, x);
    }

    if (uses_axis[SECOND_X_AXIS]) {
	if (max_array[SECOND_X_AXIS] == -VERYLARGE ||
	    min_array[SECOND_X_AXIS] ==  VERYLARGE)
	   int_error("all points undefined!", NO_CARET);
	FIXUP_RANGE_FOR_LOG(SECOND_X_AXIS, x2);
    } else {
    	assert(uses_axis[FIRST_X_AXIS]);
	if (auto_array[SECOND_X_AXIS]&1) min_array[SECOND_X_AXIS]=min_array[FIRST_X_AXIS];
	if (auto_array[SECOND_X_AXIS]&2) max_array[SECOND_X_AXIS]=max_array[FIRST_X_AXIS];
    }

    if (!uses_axis[FIRST_X_AXIS]) {
    	assert(uses_axis[SECOND_X_AXIS]);
	if (auto_array[FIRST_X_AXIS]&1) min_array[FIRST_X_AXIS]=min_array[SECOND_X_AXIS];
	if (auto_array[FIRST_X_AXIS]&2) max_array[FIRST_X_AXIS]=max_array[SECOND_X_AXIS];
    }


    if (uses_axis[FIRST_Y_AXIS]) {
	if (max_array[FIRST_Y_AXIS] == -VERYLARGE ||
	    min_array[FIRST_Y_AXIS] ==  VERYLARGE)
	   int_error("all points undefined!", NO_CARET);
	FIXUP_RANGE(FIRST_Y_AXIS, y);
	FIXUP_RANGE_FOR_LOG(FIRST_Y_AXIS, y);
    } /* else we want to copy y2 range, but need to fix it up first */

    if (uses_axis[SECOND_Y_AXIS]) {
	if (max_array[SECOND_Y_AXIS] == -VERYLARGE ||
	    min_array[SECOND_Y_AXIS] ==  VERYLARGE)
	   int_error("all points undefined!", NO_CARET);
	FIXUP_RANGE(SECOND_Y_AXIS, y2);
	FIXUP_RANGE_FOR_LOG(SECOND_Y_AXIS, y2);
    } else {
    	assert(uses_axis[FIRST_Y_AXIS]);
	if (auto_array[SECOND_Y_AXIS]&1) min_array[SECOND_Y_AXIS]=min_array[FIRST_Y_AXIS];
	if (auto_array[SECOND_Y_AXIS]&2) max_array[SECOND_Y_AXIS]=max_array[FIRST_Y_AXIS];
    }

    if (!uses_axis[FIRST_Y_AXIS]) {
    	assert(uses_axis[SECOND_Y_AXIS]);
	if (auto_array[FIRST_Y_AXIS]&1) min_array[FIRST_Y_AXIS]=min_array[SECOND_Y_AXIS];
	if (auto_array[FIRST_Y_AXIS]&2) max_array[FIRST_Y_AXIS]=max_array[SECOND_Y_AXIS];
    }


#define WRITEBACK(axis,min,max) \
if(range_flags[axis]&RANGE_WRITEBACK) \
  {if (auto_array[axis]&1) min=min_array[axis]; \
   if (auto_array[axis]&2) max=max_array[axis]; \
  }

	WRITEBACK(FIRST_X_AXIS,xmin,xmax)
	WRITEBACK(FIRST_Y_AXIS,ymin,ymax)
	WRITEBACK(SECOND_X_AXIS,x2min,x2max)
	WRITEBACK(SECOND_Y_AXIS,y2min,y2max)


    if (strcmp(term->name, "table") == 0)
	print_table(first_plot, plot_num);
    else
    {
	START_LEAK_CHECK(); /* check for memory leaks in this routine */
	
	/* do_plot now uses max_array[], etc */
	do_plot(first_plot, plot_num);

	END_LEAK_CHECK();
    }
    
	/* if we get here, all went well, so record this line for replot */
	
    if (plot_token != -1) {
	/* note that m_capture also frees the old replot_line */
        m_capture(&replot_line, plot_token, c_token-1);
        plot_token = -1;		
    }
  
    cp_free(first_plot);
    first_plot = NULL;
} /* eval_plots */




static void 
parametric_fixup(start_plot, plot_num)
    struct curve_points *start_plot;
    int            *plot_num;
/*
 * The hardest part of this routine is collapsing the FUNC plot types in the
 * list (which are garanteed to occur in (x,y) pairs while preserving the
 * non-FUNC type plots intact.  This means we have to work our way through
 * various lists.  Examples (hand checked): start_plot:F1->F2->NULL ==>
 * F2->NULL start_plot:F1->F2->F3->F4->F5->F6->NULL ==> F2->F4->F6->NULL
 * start_plot:F1->F2->D1->D2->F3->F4->D3->NULL ==> F2->D1->D2->F4->D3->NULL
 * 
 */
{
    struct curve_points *xp, *new_list=NULL, *free_list=NULL;
    struct curve_points **last_pointer = &new_list;
    int             i, tlen, curve;
    char           *new_title;

    /*
     * Ok, go through all the plots and move FUNC types together.  Note: this
     * originally was written to look for a NULL next pointer, but gnuplot
     * wants to be sticky in grabbing memory and the right number of items in
     * the plot list is controlled by the plot_num variable.
     * 
     * Since gnuplot wants to do this sticky business, a free_list of
     * curve_points is kept and then tagged onto the end of the plot list as
     * this seems more in the spirit of the original memory behavior than
     * simply freeing the memory.  I'm personally not convinced this sort of
     * concern is worth it since the time spent computing points seems to
     * dominate any garbage collecting that might be saved here...
     */
    new_list = xp = start_plot;
    curve = 0;

    while (++curve <= *plot_num) {
      if (xp->plot_type == FUNC) {
	/* Here's a FUNC parametric function defined as two parts. */
	struct curve_points *yp = xp->next_cp;

	--(*plot_num);

	assert(xp->p_count == yp->p_count);

	/* because syntax is   plot x(t), y(t) axes ..., only
	 * the y function axes are correct
	 */


	/*
	 * Go through all the points assigning the y's from xp to be the x's
	 * for yp. In polar mode, we need to check max's and min's as we go.
	 */

	for (i = 0; i < yp->p_count; ++i) {
	    if (polar) {
		double r=yp->points[i].y;
		double t=xp->points[i].y * ang2rad;
		double x,y;
		if ( !(autoscale_r&2) && r>rmax)
			yp->points[i].type=OUTRANGE;
		if ( !(autoscale_r&1) )
			r -= rmin; /* store internally as if plotting r(t)-rmin */
		x = r * cos(t);
		y = r * sin(t);
		/* we hadn't done logs when we stored earlier */
		STORE_WITH_LOG_AND_FIXUP_RANGE(yp->points[i].x, x, yp->points[i].type,
		  xp->x_axis, NOOP, NOOP);
		STORE_WITH_LOG_AND_FIXUP_RANGE(yp->points[i].y, y, yp->points[i].type,
		  xp->y_axis, NOOP,NOOP);
	    } else {
		double x = xp->points[i].y;
		double y = yp->points[i].y;
		STORE_WITH_LOG_AND_FIXUP_RANGE(yp->points[i].x, x,
		  yp->points[i].type, yp->x_axis, NOOP, NOOP);
		STORE_WITH_LOG_AND_FIXUP_RANGE(yp->points[i].y, y,
		  yp->points[i].type, yp->y_axis, NOOP, NOOP);
	    }
	}

	/* Ok, fix up the title to include both the xp and yp plots. */
	if (xp->title && xp->title[0] != '\0' && yp->title) {
	    tlen = strlen(yp->title) + strlen(xp->title) + 3;
	    new_title = gp_alloc((unsigned long) tlen, "string");
	    strcpy(new_title, xp->title);
	    strcat(new_title, ", ");	/* + 2 */
	    strcat(new_title, yp->title);	/* + 1 = + 3 */
	    free(yp->title);
	    yp->title = new_title;
	}

	/* move xp to head of free list */
	xp->next_cp = free_list;
	free_list = xp;

	/* append yp to new_list */
	*last_pointer = yp;
	last_pointer = &(yp->next_cp);
	xp = yp->next_cp;

      } else {  /* data plot */
	assert(*last_pointer == xp);
	last_pointer = &(xp->next_cp);
	xp = xp->next_cp;
      }
    } /* loop over plots */

    first_plot = new_list;

    /* Ok, stick the free list at the end of the curve_points plot list. */
    *last_pointer = free_list;
}