File: gr.cc

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#define NEW_TRANSFORM  1	// 11jun95, try new mapping method

// Global variable/function names begin with _gr.

// Sections of uncertain or buggy code are sometimes marked by 
// comments containing the strings "BUG" or "??".

// Cross-dependent code is sometimes marked with comments 
// containing the string XREF.


#include	<ctype.h>
#include	<string.h>
#include        <time.h>
#include        <math.h>
#include        <stdio.h>
#include        <stdlib.h>

// Local includes
#include	"gr.hh"
#include        "postscpt.hh" 
#include        "private.hh"
#include        "macro.hh"
#include        "GriPath.hh"
#include        "GriState.hh"
#include        "defaults.hh"
#include        "superus.hh"

static void     close_ps_file(FILE * fp);
static void     handle_landscape_scale(FILE * fp);
static void     insert_ps_header(FILE * fp);
static void     skip_ps_header(FILE * PSfile);
static void     create_font_encoding(const char *fontname);


static char     creator_name[256] = "";
static char     ps_filename[256] = "gri.ps";	/* basename */
static char     ps_filename_used[256] = "";	/* actual name used */
static bool     user_gave_ps_filename = false;	/* did user give the name? */
static int      which_page = 0;	/* page counter */

bool            _no_bounding_box = false;


extern GriState _griState;	// <-> gri.cc

//
// Utilities.
//

// gr_multiple - is x a multiple of d (to given precision)?
bool
gr_multiple(double x, double d, double precision)
{
    double          epsilon;
    if (d < 0.0)
	d = -d;
    if (x < 0.0)
	x = -x;
    if (precision < 0.0)
	precision = -precision;
    epsilon = GRI_ABS(x - d * (floor(0.5 + x / d)));
    return ((epsilon < precision) ? true : false);
}

//
// UNIVERSAL GLOBALS
#define	default_linewidth	0.5
#define	LEN_num			50
#define	LEN_lab			256
gr_pen          _grCurrentPen;
char            _grXAxisLabel[LEN_lab];	         // name of x axis
char            _grYAxisLabel[LEN_lab];		 // name of y axis
char            _grNumFormat_x[LEN_num];	 // format for x axis
char            _grNumFormat_y[LEN_num];	 // format for y axis
char            grTempString[_grTempStringLEN];	 // local scratch string
char            grTempString2[_grTempStringLEN]; // local scratch string

/*
 * stdin buffer
 */
FBUFFER         stdin_buffer =
{stdin, 0, 0, 0};		/* note 0 for buffer */

/* GLOBAL scratch strings */
char            _grTempString[_grTempStringLEN];
char            _grTempString2[_grTempStringLEN];
double
                _grCmPerUser_y,	/* y cm-on-page / user-unit */
                _grCmPerUser_x,	/* x cm-on-page / user-unit */
                _grCurrentPoint_x,	/* current x coordinate of pen */
                _grCurrentPoint_y,	/* current y coordinate of pen */
                _grGrayScreenQuantum = .0625,	/* gray step on mac */
                _grMagx = 1.0,	/* x magnification on screen */
                _grMagy = 1.0,	/* y magnification on screen */
                _grMissingValue = 1.0e22,	/* missing value */
                _grMissingValue_tolerance = 1.0e20,	/* tolerance */
                _grOriginx = 0.0,	/* x origin on screen */
                _grOriginy = 0.0,	/* y origin on screen */
                _grPageHeight_cm = 27.94,	/* page height in cm */
                _grPageWidth_cm = 21.59,	/* page width in cm */
                _grPSScale_x = 1.0,	/* _Mag factor for x scale on ps */
                _grPSScale_y = 1.0,	/* _Mag factor for y */
                _grPtPerUser_x = PT_PER_CM,	/* x pt-on-page / user-unit
						 * (assume cm) */
                _grPtPerUser_y = PT_PER_CM,	/* y pt-on-page / user-unit
						 * (assume cm) */
                _grSymbolSize_pt,	/* symbol size in point */
                _grTicSize_cm,	/* axis tic size */
                _grPROJx0, _grPROJxfac, _grPROJy0, _grPROJyfac, _grxl,	/* x left - user units */
                _grxl_pt,	/* x left - points */
                _gryb,		/* y bottom - user units */
                _gryb_pt;	/* y bottom - points */

double _ll_x_pt, _ll_y_pt, _ur_x_pt, _ur_y_pt; // lower-left,  point units
double _ll_x_us, _ll_y_us, _ur_x_us, _ur_y_us; // upper-right,  user units

gr_axis_properties _grTransform_x = gr_axis_LINEAR;
gr_axis_properties _grTransform_y = gr_axis_LINEAR;
bool            _grTicsPointIn = false;
int             _grAxisStyle_x = 0;	/* always 0 */
int             _grAxisStyle_y = 0;	/* 0 = falsermal, 1 = label horizontal */
bool            _grDrawingDash = false;	/* =1 if drawing dash part of a line */
bool            _grPS_Landscape = false;	/* flag for landscape */
int             _grSpecifications = 1;	/* specifications in gr_begin */
int             _grNumSubDiv_x;	/* # x-subdivision per labelled tic */
int             _grNumSubDiv_y;	/* # x-subdivision per labelled tic */
bool            _grNeedBegin = true;	/* Need to call gr_begin()? */
bool            _grPathExists = false;	/* does a postscript 'path' exist? */
bool            _grWritePS = true;	/* ==1 if postscript to be written */

FILE           *_grPS;		// file of postscript output

// Local prototypes.
static void     set_page_characteristics();

// Always returns true
bool
gr_textsave(const char *s)
{
    static bool     first = true;
    unsigned int    len;
    len = strlen(s);
    if (first == true) {
	stdin_buffer.fp = stdin;
	GET_STORAGE(stdin_buffer.buf, char, 2 + len);
	strcpy(stdin_buffer.buf, s);
	first = false;
    } else {
	stdin_buffer.buf = (char *)realloc(stdin_buffer.buf,
				   2 + len + stdin_buffer.buf_capacity);
	strcat(stdin_buffer.buf, s);
    }
    strcat(stdin_buffer.buf, "\n");
    stdin_buffer.buf_capacity += 1 + len;
    return true;
}

/*
 * gr_textget (s, max) Get a line of text.  If the line ends in backslash,
 * get next line and concatenate the two together; if succeeding lines end in
 * backslash, continue the contatenation. RETURN VALUE 1 if got text; 0 if
 * got EOF.
 */
bool
gr_textget(char *s, int max)
{
    int             len, most = max;
    bool            got_eof;
    got_eof = gr_buffgets(s, most, &stdin_buffer);
    if (got_eof) {
	/*
	 * No newline at end of file.  Paste one on.
	 */
	strcat(s, "\n");
	return false;
    } else {
	while ((len = strlen(s)) > 1 && s[len - 2] == '\\' && most > 0) {
	    most += len - 1;
	    got_eof = gr_buffgets(s + len - 2, most, &stdin_buffer);
	    if (got_eof) {
		/*
		 * No newline at end of file.  Paste one on.
		 */
		strcat(s, "\n");
		return true;
	    }
	}
	return true;
    }
}

/*
 * Get string from io buffer, or from io file, if buffer empty.  Stop reading
 * when newline or eof encountered.
 * 
 * Return true if got to eof of the file.
 */
bool
gr_buffgets(char *s, unsigned int most, FBUFFER * fbuf)
{
    if (fbuf->buf_position < fbuf->buf_capacity) {
	unsigned int             i;
	for (i = 0; i < most - 1; i++) {
	    s[i] = fbuf->buf[fbuf->buf_position++];
	    if (s[i] == '\n')
		break;
	    if (fbuf->buf_position >= fbuf->buf_capacity)
		break;		/* will lose some characters, but no warning */
	}
	s[i + 1] = '\0';
    } else {
	fgets(s, most, (FILE *) fbuf->fp);
	if (feof(fbuf->fp))
	    return true;
    }
    return false;
}

// print string, allowing for TAB/NEWLINE/... escapes
void
gr_textput(const char *s)
{
    const char *c = s;
    while (*c) {
	if (*c == '\\' && *(c + 1) == 'n')
	    putchar('\n'), c++;
	else if (*c == '\\' && *(c + 1) == '\\')
	    putchar('\\'), c++;
	else if (*c == '\\' && *(c + 1) == 't')
	    putchar('\t'), c++;
	else
	    putchar(*c);
	c++;
    }
}

// print string, NOT allowing for (\n, \t) escapes
void
gr_textput2(const char *s)
{
    const char           *c = s;
    while (*c) {
	if (*c == '\n') {
	    putchar('\\');
	    putchar('n');
	} else if (*c == '\t') {
	    putchar('\\');
	    putchar('t');
	} else {
	    putchar(*c++);
	}
    }
}

bool
delete_ps_file()
{
    if (_grPS != NULL)
        fclose(_grPS);
    return delete_file(ps_filename_used);
}

// gr_begin() -- prepare for plotting
// `specifications' is a code used to specify various options. you 
// form specifications as a sum of codes defined in gr.hh.
void
gr_begin(int specifications)
{
    int             version;
    _grNeedBegin = false;
    _grSpecifications = specifications;
    // open gri.ps file, avoiding overwriting existing ones
    if (user_gave_ps_filename)
	strcpy(ps_filename_used, ps_filename);
    else {
#if defined(VMS)
	// On vax, just use version numbers
	sprintf(ps_filename_used, "%s", ps_filename);
#else
	for (version = 0; version < 9999; version++) {
	    FILE           *trial;
	    sprintf(ps_filename_used, "gri-%02d.ps", version);
	    trial = fopen(ps_filename_used, "r");
	    if (NULL == trial)
		break;
	    fclose(trial);
	}
#endif
    }
    _grPS = fopen(ps_filename_used, "w+");
    // if can't open file, try again
    if (_grPS == NULL) {
	int             ok_after_all = false;
#if defined(HAVE_GETENV)
	char            homename[100];
	if (getenv("home")) {
	    strcpy(homename, getenv("home"));
	    strcat(homename, "/gri.ps");
	    strcpy(ps_filename_used, homename);
	    _grPS = fopen(ps_filename_used, "w+");
	    if (_grPS == NULL) {
		sprintf(_grTempString, "\
Cannot open output PostScript file named\n\t`%s'\nin this directory.  Do you have write permission here?", ps_filename_used);
		gr_textput(_grTempString);
		gri_exit(1);
	    } else {
		ok_after_all = 1;
	    }
	}
#endif
	if (ok_after_all) {
	    sprintf(_grTempString, "Couldn't create intended postscript file, so created `%s' instead\n", ps_filename_used);
	    warning(_grTempString);
	} else {
	    sprintf(_grTempString, "\
Cannot open output PostScript file named\n\t`%s'\nin this directory.  Do you have write permission here?", ps_filename);
	    gr_textput(_grTempString);
	    gri_exit(1);
	}
    }
     // write some header stuff in postscript file
    _grWritePS = true;
    // define postscript abbreviations
    insert_ps_header(_grPS);
    set_page_characteristics();
}

static void set_page_characteristics()
{
    gr_setfont(gr_font_Helvetica);
    gr_setfontsize_pt(-1.0);
    _griState.set_linewidth_line(LINEWIDTH_DEFAULT);
    gr_setsymbolsize_cm(0.2);
    gr_setticdirection(false);	// point out
    gr_setticsize_cm(0.2);
    gr_setxlabel("x");
    gr_setylabel("y");
    gr_setxnumberformat("%g");
    gr_setynumberformat("%g");
    gr_setxpagesize_cm(21.59);
    gr_setypagesize_cm(27.94);
    gr_setxtransform(gr_axis_LINEAR);
    gr_setytransform(gr_axis_LINEAR);
    gr_setxscale(0.0, 1.0, 0.0, 1.0);
    gr_setyscale(0.0, 1.0, 0.0, 1.0);
    gr_setxsubdivisions(1);
    gr_setysubdivisions(1);
    _grPathExists = true;
}

static void
insert_ps_header(FILE * fp)
{
#if defined(VMS) || defined(MSDOS) || defined(IS_DEC_ALPHA)
    time_t          sec;
#else
#if defined(__DECCXX)
    int             sec;
#else
    long            sec;
#endif
#endif
    int             i = 0;
    /*
     * write conforming postscript prolog
     */
    /* fprintf(fp, "%%!PS-Adobe-1.0\n"); */
    fprintf(fp, "%%!PS-Adobe-2.0 EPSF-1.2\n");
    fprintf(fp, "%%%%Creator: %s\n", creator_name);
    fprintf(fp, "%%%%Title: %s\n", ps_filename_used);
    time(&sec);
    fprintf(fp, "%%%%CreationDate: %s", asctime(localtime(&sec)));
    fprintf(fp, "%%%%Pages: (atend)\n");
    fprintf(fp, "%%%%BoundingBox: (atend)\n");
    fprintf(fp, "%%%%TemplateBox: %d %d %d %d\n",
	    0, 0, (int) (8.5 * 72.0), (int) (11.0 * 72.0));
    fprintf(fp, "%%%%DocumentFonts: (atend)\n");
    fprintf(fp, "%%%%Endcomments\n");
    while (PS_dict[i])
	fprintf(fp, "%s\n", PS_dict[i++]);
    handle_landscape_scale(fp);
    fprintf(fp, "10.0 M\n");
    fprintf(fp, "1 j\n");
    create_font_encoding("Courier");
    create_font_encoding("Courier-Bold");
    create_font_encoding("Helvetica");
    create_font_encoding("Helvetica-Bold");
    create_font_encoding("Palatino-Roman");
    create_font_encoding("Palatino-Bold");
    create_font_encoding("Palatino-Italic");
    create_font_encoding("Symbol");
    create_font_encoding("Times");
    create_font_encoding("Times-Bold");
    create_font_encoding("Times-Roman");
    fprintf(fp, "%%%%EndProlog\n");
    which_page++;
    fprintf(_grPS, "%%%%Page: %d %d\n", which_page, which_page);
}

static void
create_font_encoding(const char *fontname)
{
    fprintf(_grPS, 
"/%s findfont dup length dict begin\n"
"  {1 index /FID ne {def} {pop pop} ifelse } forall\n"
"  /Encoding ISOLatin1Encoding def\n"
"  currentdict\n"
"end\n"
"/%s-ISOLatin1 exch definefont pop\n", fontname, fontname);
}

static void
handle_landscape_scale(FILE * fp)
{
    /* put landscape and scale commands in ps output file */
    if (_grPS_Landscape)
	fprintf(fp, "%g 0 translate 90 rotate %% Landscape\n", 8.5 * 72.0);
    fprintf(fp, "%g %g scale\n", _grPSScale_x, _grPSScale_y);
}

// gr_cmtouser() -- convert cm on page to user units.  COMPARE gr_usertopt(),
// which is the inverse
void
gr_cmtouser(double x_cm, double y_cm, double *x, double *y)
{
    // XREF -- axis transform
    // Do X.
    switch (_grTransform_x) {
    case gr_axis_LINEAR:
	*x = _grxl + (x_cm - _grxl_pt / PT_PER_CM) / _grCmPerUser_x;
	break;
    case gr_axis_LOG:
	*x = _grxl * pow(10.0, (x_cm - _grxl_pt / PT_PER_CM) / _grCmPerUser_x);
	break;
    default:
	gr_Error("unknown axis mapping (internal error)");
	break;
    }
    // Do Y.
    switch (_grTransform_y) {
    case gr_axis_LINEAR:
	*y = _gryb + (y_cm - _gryb_pt / PT_PER_CM) / _grCmPerUser_y;
	break;
    case gr_axis_LOG:
	*y = _gryb * pow(10.0, (y_cm - _gryb_pt / PT_PER_CM) / _grCmPerUser_y);
	break;
    default:
	gr_Error("unknown axis mapping (internal error)");
	break;
    }
}

// gr_comment() -- write message in postscript file (without inserting
// newline)
void
gr_comment(const char *message)
{
    if (_grWritePS)
	fprintf(_grPS, PS_comment, message);
}

/*
 * gr_currentPSfilename() -- get name of Postscript file SYNOPSIS char
 * *gr_currentPSfilename(); DESCRIPTION Returns pointer to name of Postscript
 * file
 */
char *
gr_currentPSfilename()
{
    return ps_filename_used;
}

/*
 * gr_currentPSFILEpointer() -- get pointer Postscript file SYNOPSIS char
 * *gr_currentPSFILEpointer(); DESCRIPTION Returns pointer to Postscript file
 */
FILE           *
gr_currentPSFILEpointer()
{
    return _grPS;
}

/*
 * gr_current_ps_landscape() -- get present landscape mode RETURN VALUE 0 if
 * portrait; 1 if landscape
 */
bool
gr_current_ps_landscape()
{
    return _grPS_Landscape;
}

/*
 * gr_currentmissingvalue() -- return current missing value
 */
double
gr_currentmissingvalue()
{
    return _grMissingValue;
}

/*
 * gr_currentsymbolsize_pt() -- return current symbol size in points
 */
double
gr_currentsymbolsize_pt()
{
    return _grSymbolSize_pt;
}

/*
 * gr_currentticsize_cm() -- get current axis ticsize in cm
 */
double
gr_currentticsize_cm()
{
    return _grTicSize_cm;
}

// gr_drawarrow_cm -- Draw a stroke-line arrow
// If halfwidth>0, width of arrow head is 2*halfwidth.
// If halfwidth<0, width of arrow head is 2*halfwidth*length_of_arrow.
void
gr_drawarrow_cm(double x, double y, double xend, double yend, double halfwidth)
{
    double length = (xend - x) * (xend - x) + (yend - y) * (yend - y);
    if (length <= 0.0)
	return;
    length = sqrt(length);
    if (halfwidth < 0)
	halfwidth = -halfwidth * length;
    halfwidth /= length;
    static GriPath p(5);	// use static for reuse

    p.clear();
    p.push_back(0.0, 0.0, 'm');
    p.push_back(1.0, 0.0, 'l');
    p.push_back(1.0 - 3.0 * halfwidth, halfwidth, 'm');
    p.push_back(1.0, 0.0, 'l');
    p.push_back(1.0 - 3.0 * halfwidth, -halfwidth, 'l');
    p.rotate(atan2(yend - y, xend - x) * DEG_PER_RAD);
    p.scale(length);
    p.translate(x, y);
    p.stroke(units_cm);
}

// gr_drawarrow2_cm -- Draw an outlined arrow
// If halfwidth>0, width of arrow head is 2*halfwidth.
// If halfwidth<0, width of arrow head is 2*halfwidth*length_of_arrow.
void
gr_drawarrow2_cm(double x, double y, double xend, double yend, double halfwidth)
{
    double length = (xend - x) * (xend - x) + (yend - y) * (yend - y);
    if (length <= 0.0)
	return;			// ignore zero length arrows
    length = sqrt(length);
    if (halfwidth < 0)
	halfwidth = -halfwidth * length;
    static GriPath p(9);	// use static for reuse
    p.clear();
    halfwidth /= length;
    p.push_back(0.0,			 0.4 * halfwidth, 	'm');
    p.push_back(0.0,			-0.4 * halfwidth, 	'l');
    p.push_back(1.0 - 3. * halfwidth,	-0.4 * halfwidth,	'l');
    p.push_back(1.0 - 3. * halfwidth,	-halfwidth,		'l');
    p.push_back(1.0,		         0.0,			'l');
    p.push_back(1.0 - 3. * halfwidth,	 halfwidth,		'l');
    p.push_back(1.0 - 3. * halfwidth,	 0.4 * halfwidth,	'l');
    p.push_back(0.0,			 0.4 * halfwidth, 	'l');
    p.push_back(0.0,			-0.4 * halfwidth, 	'l');
    p.rotate(atan2(yend - y, xend - x) * DEG_PER_RAD);
    p.scale(length);
    p.translate(x, y);
    p.stroke(units_cm);
}

// gr_drawarrow3_cm -- Draw swept-back filled arrow
//
// If halfwidth>0, width of arrow head is 2*halfwidth.
// If halfwidth<0, width of arrow head is 2*halfwidth*length_of_arrow.
void
gr_drawarrow3_cm(double x, double y, double xend, double yend, double halfwidth)
{
    // METHOD: define arrow on unit square from (0,0) to (1,0) and then
    // rotate and scale as needed.

    double length = (xend - x) * (xend - x) + (yend - y) * (yend - y);
    if (length <= 0.0)
	return;			// ignore zero length arrows
    length = sqrt(length);
    if (halfwidth < 0)
	halfwidth = -halfwidth * length;
    static GriPath p(5);	// static to allow re-use of storage
    halfwidth /= length;

    // Determine angle of rotation, in degrees.
    double angle_deg = atan2(yend - y, xend - x) * DEG_PER_RAD;

    // ... fill, and then stroke, the arrow part ...
    p.clear();			// clear storage

    p.push_back(1 - 2.25 * halfwidth, 0.0, 'm');
    p.push_back(1 - 3. * halfwidth,  halfwidth, 'l');
    p.push_back(1.0, 0.0, 'l');
    p.push_back(1 - 3. * halfwidth, -halfwidth, 'l');
    p.push_back(1 - 2.25 * halfwidth, 0.0, 'l');

    p.rotate(angle_deg);
    p.scale(length);
    p.translate(x, y);
    p.fill(units_cm);
    p.stroke(units_cm);

    // ... then stroke the line.
    p.clear();			// clear storage
    p.push_back(0.0, 0.0, 'm');
    p.push_back(1.0, 0.0, 'l');
    p.rotate(angle_deg);
    p.scale(length);
    p.translate(x, y);
    p.stroke(units_cm);
}

/*
 * gr_drawerrorbars() -- draw error bars about a point SYNOPSIS void
 * gr_drawerrorbars (double x, double xmin, double xmax, double y, double
 * ymin, double ymax, int type); DESCRIPTION: Draws error bars extending from
 * xmin to xmax and ymin to ymax. The type of error bars is controlled by
 * 'type' as follows:
 * 
 * 0 -> error bars done as lines drawn between the limits
 * 
 * 1 -> right-angled tags added at ends of limits (NOT IMPLEMENTED) NOTE: The
 * pen is left at (x,y), so that to draw a symbol with error bars, do
 * something like this: gr_drawerrorbars(x,x-dx,x+dx,y,y-dy,y+dy,0);
 * gr_drawsymbol(...,gr_circ_symbol);
 */
void
gr_drawerrorbars(double x, double xmin, double xmax, double y, double ymin, double ymax, int type)
{
    GriPath p(5);
    switch (type) {
	case 0:
	default:
	p.push_back(xmin, y, 'm');
	p.push_back(xmax, y, 'l');
	p.push_back(x, ymin, 'm');
	p.push_back(x, ymax, 'l');
	p.push_back(x, y, 'm');
	p.stroke(units_user);
	break;
    }
}

// gr_drawsymbol() -- draw symbol at indicated location in cm
// BUG: remove the "n" and "S" when newpath/stroke business sorted
void
gr_drawsymbol(double xcm, double ycm, gr_symbol_type symbol_name)
{
    double          old_grSymbolSize_pt;
    extern bool _warn_offpage;
    if (_warn_offpage 
	&& ( xcm < OFFPAGE_LEFT 
	     || xcm > OFFPAGE_RIGHT
	     || ycm < OFFPAGE_BOTTOM
	     || ycm > OFFPAGE_TOP)) {
	warning("Drawing a symbol at a location which is offpage.");
    }
    double xpt = xcm * PT_PER_CM;
    double ypt = ycm * PT_PER_CM;
    switch (symbol_name) {
    case gr_plus_symbol:
	fprintf(_grPS, "n %.1f %.1f m %.1f _plus S\n", xpt, ypt, _grSymbolSize_pt);
	break;
    case gr_times_symbol:
	fprintf(_grPS, "n %.1f %.1f m %.1f _times S\n", xpt, ypt, _grSymbolSize_pt);
	break;
    case gr_box_symbol:
	fprintf(_grPS, "n %.1f %.1f m %.1f _box S\n", xpt, ypt, _grSymbolSize_pt);
	break;
    case gr_circ_symbol:
	fprintf(_grPS, "n %.1f %.1f m %.1f _circ S\n", xpt, ypt, _grSymbolSize_pt);
	break;
    case gr_diamond_symbol:
	fprintf(_grPS, "n %.1f %.1f m %.1f _diamond S\n", xpt, ypt, _grSymbolSize_pt);
	break;
    case gr_triangleup_symbol:
	fprintf(_grPS, "n %.1f %.1f m %.1f _triangleup S\n", xpt, ypt, _grSymbolSize_pt);
	break;
    case gr_triangleright_symbol:
	fprintf(_grPS, "n %.1f %.1f m %.1f _triangleright S\n", xpt, ypt, _grSymbolSize_pt);
	break;
    case gr_triangledown_symbol:
	fprintf(_grPS, "n %.1f %.1f m %.1f _triangledown S\n", xpt, ypt, _grSymbolSize_pt);
	break;
    case gr_triangleleft_symbol:
	fprintf(_grPS, "n %.1f %.1f m %.1f _triangleleft S\n", xpt, ypt, _grSymbolSize_pt);
	break;
    case gr_asterisk_symbol:
	fprintf(_grPS, "n %.1f %.1f m %.1f _plus S\n", xpt, ypt, _grSymbolSize_pt);
	fprintf(_grPS, "n %.1f %.1f m %.1f _times S\n", xpt, ypt, _grSymbolSize_pt);
	break;
    case gr_star_symbol:
	fprintf(_grPS, "n %.1f %.1f m %.1f _triangleup S\n", xpt, ypt, _grSymbolSize_pt);
	fprintf(_grPS, "n %.1f %.1f m %.1f _triangledown S\n", xpt, ypt, _grSymbolSize_pt);
	break;
    case gr_filledbox_symbol:
	fprintf(_grPS, "n %.1f %.1f m %.1f _filledbox S\n", xpt, ypt, _grSymbolSize_pt);
	break;
    case gr_bullet_symbol:
	fprintf(_grPS, "n %.1f %.1f m %.1f _bull S\n", xpt, ypt, _grSymbolSize_pt);
	break;
    case gr_filleddiamond_symbol:
	fprintf(_grPS, "n %.1f %.1f m %.1f _filleddiamond S\n", xpt, ypt, _grSymbolSize_pt);
	break;
    case gr_filledtriangleup_symbol:
	fprintf(_grPS, "n %.1f %.1f m %.1f _filledtriangleup S\n", xpt, ypt, _grSymbolSize_pt);
	break;
    case gr_filledtriangleright_symbol:
	fprintf(_grPS, "n %.1f %.1f m %.1f _filledtriangleright S\n", xpt, ypt, _grSymbolSize_pt);
	break;
    case gr_filledtriangledown_symbol:
	fprintf(_grPS, "n %.1f %.1f m %.1f _filledtriangledown S\n", xpt, ypt, _grSymbolSize_pt);
	break;
    case gr_filledtriangleleft_symbol:
	fprintf(_grPS, "n %.1f %.1f m %.1f _filledtriangleleft S\n", xpt, ypt, _grSymbolSize_pt);
	break;
    case gr_filledhalfmoonup_symbol:
	fprintf(_grPS, "n %.1f %.1f m %.1f _filledhalfmoonup S\n", xpt, ypt, _grSymbolSize_pt);
	break;
    case gr_filledhalfmoondown_symbol:
	fprintf(_grPS, "n %.1f %.1f m %.1f _filledhalfmoondown S\n", xpt, ypt, _grSymbolSize_pt);
	break;
    default:			// tiny (1.0 mm) triangle
	old_grSymbolSize_pt = gr_currentsymbolsize_pt();
	gr_setsymbolsize_cm(0.1);
	fprintf(_grPS, "n %.1f %.1f m %.1f _triangledown S\n", xpt, ypt, _grSymbolSize_pt);
	gr_setsymbolsize_pt(old_grSymbolSize_pt);
	break;
    }
    rectangle box(xcm - _grSymbolSize_pt / 2 / PT_PER_CM,
		  ycm - _grSymbolSize_pt / 2 / PT_PER_CM,
		  xcm + _grSymbolSize_pt / 2 / PT_PER_CM,
		  ycm + _grSymbolSize_pt / 2 / PT_PER_CM);
    bounding_box_update(box);
}

//
// gr_end() -- end this plot
// DESCRIPTION: End current plot. If filename == "" then the window stays
// open, and the gri-00.ps PostScript file is closed. If filename == "!" then
// the window is closed.  If the filename is a valid filename, then the
// window stays open, and the PostScript file is copied into the indicated
// file. If the filename is "!" followed by a valid filename, then the window
// is closed and the PostScript is copied to the indicated file.
void
gr_end(const char *filename)
{
    extern bool     _grNeedBegin;
    extern bool     _grPathExists;
    extern FILE    *_grPS;
    if (_grNeedBegin)
	return;
    fprintf(_grPS, PS_showpage);
    fprintf(_grPS, "%%%%Trailer\n");
    if (_no_bounding_box) {	// use fullpage
	fprintf(_grPS, "%%%%BoundingBox: %d %d %d %d\n",
		0,
		0,
		int( 8.5 * 2.54 * PT_PER_CM),
		int(11.0 * 2.54 * PT_PER_CM));
    } else {
	extern bool      _user_gave_bounding_box;
	rectangle bbox;
	if (_user_gave_bounding_box) {
	    extern rectangle _bounding_box_user;
	    bbox.set(_bounding_box_user.get_llx(),
		     _bounding_box_user.get_lly(),
		     _bounding_box_user.get_urx(),
		     _bounding_box_user.get_ury());
	} else {
	    extern rectangle _bounding_box;
	    bbox.set(_bounding_box.get_llx(),
		     _bounding_box.get_lly(),
		     _bounding_box.get_urx(),
		     _bounding_box.get_ury());
	}
	double ll_x, ll_y, ur_x, ur_y;
	if (_grPS_Landscape) {
	    gr_rotate_xy(bbox.llx(), bbox.lly(), 90, &ll_x, &ll_y);
	    gr_rotate_xy(bbox.urx(), bbox.ury(), 90, &ur_x, &ur_y);
	    ll_x += 2.54 * 8.5;
	    ur_x += 2.54 * 8.5;
	    double tmp = ll_x;
	    ll_x = ur_x;
	    ur_x = tmp;
	} else {
	    ll_x = bbox.llx();
	    ll_y = bbox.lly();
	    ur_x = bbox.urx();
	    ur_y = bbox.ury();
	}
#define POS(x) ((x) > 0 ? int(x) : 0)
	if (_user_gave_bounding_box)
	    fprintf(_grPS, "%%%%BoundingBox: %d %d %d %d\n",
		    POS(ll_x * PT_PER_CM),
		    POS(ll_y * PT_PER_CM),
		    POS(ur_x * PT_PER_CM),
		    POS(ur_y * PT_PER_CM));
	else
	    fprintf(_grPS, "%%%%BoundingBox: %d %d %d %d\n",
		    POS(floor(-1.5 + ll_x * PT_PER_CM)),
		    POS(floor(-1.5 + ll_y * PT_PER_CM)),
		    POS(floor( 2.5 + ur_x * PT_PER_CM)),
		    POS(floor( 2.5 + ur_y * PT_PER_CM)));
#undef POS
    }
    fprintf(_grPS, "%%%%DocumentFonts: Courier Helvetica Palatino-Roman Palatino-Italic Symbol Times-Roman\n");
    fprintf(_grPS, "%%%%Pages: %d\n", which_page);
    _grPathExists = false;
    user_gave_ps_filename = false;
    // See if filename was specified
    if ((strlen(filename) > 0)) {
	if (filename[0] == '!') {
	    if (strlen(filename) > 1 && filename[1] != ' ') {
		// save to named file
		gr_save_postscript(filename + 1, 1);
		close_ps_file(_grPS);
		return;
	    } else {
		// close without renaming
		close_ps_file(_grPS);
		return;
	    }
	} else if (filename[0] != ' ') {
	    gr_save_postscript(filename, 1);
	    close_ps_file(_grPS);
	}
    }
}				// gr_end()

static void
close_ps_file(FILE * fp)
{
    fclose(fp);
    _grNeedBegin = true;
}

// gr_error() -- write an fatal message, then die
void
gr_error(const char *lab)
{
    sprintf(grTempString, "\nFATAL error: %s\n", lab);
    gr_textput(grTempString);
    abort_gri();
}

void
abort_gri()
{
    gr_textput("\
             Suggestion: in unix system with `gdb' command, type\n");
    gr_textput("\
                         gdb gri core\n");
    gr_textput("\
                         where\n");
    gr_textput("\
                         quit\n");
    gr_textput("\
             to get a traceback for use in a bug report.\n\n");
    abort();
}

/*
 * (hue, saturation, value) in (enforced) range from 0 to 1 is translated
 * to (red, green, blue) in range 0 to 1.  Inputs are clipped to range 0
 * to 1 if they are outside the range.
 * 
 * Algorithm: Foley + Van Dam
 */
void
gr_hsv2rgb(double h, double s, double v, double *r, double *g, double *b)
{
    h = 6.0 * pin0_1(h);
    s = pin0_1(s);
    v = pin0_1(v);
    int i = (int) floor(h + 1.0e-6);/* add a tiny bit just in case */
    double f = h - i;
    double p = v * (1.0 - s);
    double q = v * (1.0 - s * f);
    double t = v * (1.0 - s * (1.0 - f));
    switch (i) {
    case 0:
	*r = v;
	*g = t;
	*b = p;
	break;
    case 1:
	*r = q;
	*g = v;
	*b = p;
	break;
    case 2:
	*r = p;
	*g = v;
	*b = t;
	break;
    case 3:
	*r = p;
	*g = q;
	*b = v;
	break;
    case 4:
	*r = t;
	*g = p;
	*b = v;
	break;
    case 5:
    default:			// guess
	*r = v;
	*g = p;
	*b = q;
	break;
    }
}

// Is value missing?  (No notice of whether x or y.)
bool
gr_missing(double x)
{
    if (_grMissingValue == 0.0)	// ignore tolerance if 0
	return (x == 0.0);
    if (x == _grMissingValue)	// speed up (?)
	return true;
    x = GRI_ABS(x - _grMissingValue);
    if (x < _grMissingValue_tolerance)
	return true;
    else
	return false;
}

// Is x-value missing? (Notice the x-transform.)
bool
gr_missingx(double x)
{
    extern gr_axis_properties _grTransform_x;
    if (_grTransform_x == gr_axis_LOG && x <= 0.0)
	return true;
    if (_grMissingValue == 0.0)
	return (x == 0.0);
    if (x == _grMissingValue)
	return true;
    x = GRI_ABS(x - _grMissingValue);
    if (x < _grMissingValue_tolerance)
	return true;
    else
	return false;
}

// Is y-value missing?
bool
gr_missingy(double y)
{
    extern gr_axis_properties _grTransform_y;
    if (_grTransform_y == gr_axis_LOG && y <= 0.0)
	return true;
    if (_grMissingValue == 0.0)
	return (y == 0.0);
    if (y == _grMissingValue)
	return true;
    y = GRI_ABS(y - _grMissingValue);
    if (y < _grMissingValue_tolerance)
	return true;
    else
	return false;
}

// Move the pen to new location given in points
void
gr_moveto_cm(double x_cm, double y_cm)
{
    double x_pt = x_cm * PT_PER_CM;
    double y_pt = y_cm * PT_PER_CM;
    extern FILE    *_grPS;
    // take care of postscript stuff
    if (_grWritePS) {
	if (_grPathExists) {	// a path exists
	    fprintf(_grPS, PS_stroke);
	    fprintf(_grPS, PS_weak_newpath);
	    fprintf(_grPS, PS_moveto, x_pt, y_pt);
	} else {		// make new path
	    _grPathExists = true;
	    fprintf(_grPS, PS_weak_newpath);
	    fprintf(_grPS, PS_moveto, x_pt, y_pt);
	}
    }
    _grCurrentPoint_x = x_pt;
    _grCurrentPoint_y = y_pt;
}

// See gr_onxpage_cm() -- see if point is on the page
bool
gr_onxpage_cm(double x_cm)
{
    return ((x_cm >= 0.0 && x_cm <= _grPageWidth_cm) ? true : false);
}

// See if point is on the page
bool
gr_onypage_cm(double y_cm)
{
    return ((y_cm >= 0.0 && y_cm <= _grPageHeight_cm) ? true : false);
}

// gr_record_handle() -- record a handle in the Postscript file (for later
// use by X window previewer, etc)
void
gr_record_handle(double x_cm, double y_cm)
{
    sprintf(grTempString, "^ handle %g %g\n", x_cm, y_cm);
    gr_comment(grTempString);
}

// gr_record_scale() -- record the scale in the Postscript file (for later
// use by X window previewer, etc)
void
gr_record_scale()
{
    fprintf(_grPS, "%%^ scale %d %g %g %g %d %g %g %g\n",
	    _grTransform_x, _grxl_pt, _grxl, _grPtPerUser_x,
	    _grTransform_y, _gryb_pt, _gryb, _grPtPerUser_y);
}

/*
 * (red, green, blue) in range from 0 to 1 is translated to (hue, saturation,
 * brightness) in same range.
 * 
 * NOTE: false checking on range of (r,g,b) is done, and strange results may result
 * outside this range.
 * 
 * Algorithm: Foley + Van Dam
 */
void
gr_rgb2hsb(double r, double g, double b, double *h, double *s, double *br)
{
    double          mx, mn;
    double          rc, gc, bc;
    mx = r;
    if (g > mx)
	mx = g;
    if (b > mx)
	mx = b;
    mn = r;
    if (g < mn)
	mn = g;
    if (b < mn)
	mn = b;
    *br = mx;
    if (mx)
	*s = (mx - mn) / mx;
    else
	*s = 0.0;
    if (*s) {
	rc = (mx - r) / (mx - mn);
	gc = (mx - g) / (mx - mn);
	bc = (mx - b) / (mx - mn);
	if (r == mx)
	    *h = bc - gc;
	else if (g == mx)
	    *h = 2.0 + rc - bc;
	else if (b == mx)
	    *h = 4.0 + gc - rc;
	*h /= 6.0;
	if (*h < 0.0)
	    *h = *h + 1.0;
    } else {
	*h = 0.0;		/* doesn't matter, since black anyway */
    }
}

// Move the pen to new location given in cm
void
gr_rmoveto_cm(double rx_cm, double ry_cm)
{
    rx_cm *= PT_PER_CM;
    ry_cm *= PT_PER_CM;
    gr_rmoveto_pt(rx_cm, ry_cm);
}

// Move the pen to new location given in pt
void
gr_rmoveto_pt(double rx_pt, double ry_pt)
{
    extern FILE    *_grPS;
    if (!_grPathExists)
	warning("IGNORING gr_rmoveto() NOT FOLLOWING gr_moveto()");
    else {
	_grCurrentPoint_x += rx_pt;
	_grCurrentPoint_y += ry_pt;
	if (_grWritePS)
	    fprintf(_grPS, PS_rmoveto, rx_pt, ry_pt);
    }
}

//
// change to putting output into named file
bool
gr_reopen_postscript(const char *new_name)
{
    FILE           *new_file;
    int             i = 0;
    fflush(_grPS);
    rewind(_grPS);
    if ((new_file = fopen((char *) new_name, "w")) == NULL)
	return false;		// couldn't open it
    while (!feof(_grPS)) {
	i++;
	fgets(grTempString, _grTempStringLEN, _grPS);
	if (feof(_grPS))
	    break;
	fputs(grTempString, new_file);
    }
    fclose(_grPS);
#ifdef VMS
    sprintf(grTempString, "DEL %s;*", gr_currentPSfilename());
    system(grTempString);
    strcpy(ps_filename_used, new_name);
#else
    sprintf(grTempString, "rm -f %s", gr_currentPSfilename());
    system(grTempString);
    strcpy(ps_filename_used, new_name);
#endif
    _grPS = new_file;
    return true;
}

// gr_save_postscript() -- save postscript file SYNOPSIS void
// gr_save_postscript(char *PS_name, int normal_scale) DESCRIPTION:  Saves the
// postscript commands into the file named 'PS_name'. If normal_scale==1,
// it's at normal scale; otherwise, it's at screen scale
void
gr_save_postscript(const char *PS_name, int normal_scale)
{
    FILE           *PS_file;
    // Rewind gr file. Then skip header
    rewind(_grPS);
    skip_ps_header(_grPS);
    // Open the postscript output file, then write header
    if ((PS_file = fopen((char *) PS_name, "w")) == NULL) {
	sprintf(grTempString, "Can't open postscript file `%s'", PS_name);
	gr_Error(grTempString);
    }
    if (normal_scale) {
	double          old_grMagx = _grMagx, old_grMagy = _grMagy;
	double          old_grOriginx = _grOriginx, old_grOriginy = _grOriginy;
	_grMagx = 1.0;
	_grMagy = 1.0;
	_grOriginx = 0.0;
	_grOriginy = 0.0;
	insert_ps_header(PS_file);
	_grMagx = old_grMagx;
	_grMagy = old_grMagy;
	_grOriginx = old_grOriginx;
	_grOriginy = old_grOriginy;
    } else
	insert_ps_header(PS_file);
    while (!feof(_grPS)) {
	fgets(grTempString, _grTempStringLEN, _grPS);
	if (feof(_grPS))
	    break;
	fputs(grTempString, PS_file);
    }
    fclose(PS_file);
}				// gr_save_postscript()

static void
skip_ps_header(FILE * PSfile)
{
    char            S[256];
    int             header_lines;
    /*
     * Skip header if it exists
     */
    fgets(S, 256, PSfile);
    if (feof(PSfile))
	gr_Error("PostScript file is empty");
    if (!strcmp(S, "%!\n")) {	/* old-style */
	fgets(S, 256, PSfile);
	if (feof(PSfile))
	    gr_Error("PostScript file is nearly empty");
	if (1 == sscanf(&S[1], "%d header lines follow\n",
			&header_lines)) {
	    while (header_lines-- > 0) {
		fgets(S, 256, PSfile);
		if (feof(PSfile))
		    gr_Error("badly formed (old-style) header");
	    }
	} else {
	    gr_Error("badly formed (old-style) header");
	}
    } else if (!strcmp(S, "%!PS-Adobe-1.0\n"))	/* new-style */
	while (strncmp(S, "%%Page:", 7)) {
	    fgets(S, 256, PSfile);
	    if (feof(PSfile))
		gr_Error("badly formed header");
	}
}

/*
 * gr_setmissingvalue(double x) SYNOPSIS void	gr_setmissingvalue(double x)
 * DESCRIPTION:  Sets missing value.
 */
void
gr_setmissingvalue(double x)
{
    _grMissingValue = x;
    _grMissingValue_tolerance = 0.0001 * GRI_ABS(x);
}

/*
 * gr_setxaxisstyle(int xstyle) Set style for x axis.  Presently there are no
 * options, so xstyle is ignored.
 */
void
gr_setxaxisstyle(int xstyle)
{
    _grAxisStyle_x = xstyle;
}

/*
 * gr_setyaxisstyle(int ystyle) Set style for y axis.  If ystyle = 0 (the
 * default), the y label is written vertically.  If ystyle = 1, the y label
 * is written horizontally.
 */
void
gr_setyaxisstyle(int ystyle)
{
    _grAxisStyle_y = ystyle;
}

/*
 * gr_setscale() -- set scale for PostScript
 */
void
gr_setscale(double xfactor, double yfactor)
{
    fprintf(_grPS, "%g %g scale\n", xfactor, yfactor);
}

/*
 * gr_setsymbolsize_pt() -- set symbol size in pt
 */
void
gr_setsymbolsize_pt(double size_pt)
{
    _grSymbolSize_pt = size_pt;
}

// Specify whether tics point in
void
gr_setticdirection(bool tics_point_in)
{
    _grTicsPointIn = tics_point_in ? true : false;
}

/*
 * gr_setticsize_cm() -- set tic size SYNOPSIS void gr_setticsize_cm(double
 * new_size) DESCRIPTION:  Sets the size of tics on further axis drawing to
 * 'new_size',in cm.
 */
void
gr_setticsize_cm(double new_size)
{
    _grTicSize_cm = new_size;
}

/*
 * gr_settranslate() -- set translation (x,y) for PostScript
 */
void
gr_settranslate(double xcm, double ycm)
{
    fprintf(_grPS, "%g %g translate\n", xcm * PT_PER_CM, ycm * PT_PER_CM);
}

// gr_setup_creatorname() -- set up creator name for PostScript prolog
// SYNOPSIS void	gr_setup_creatorname(char *s) DESCRIPTION: Sets up
// creator name for PostScript prolog
void
gr_setup_creatorname(const char *s)
{
    strcat(creator_name, s);
}

// gr_setup_ps_filename() -- name file for postscript output
// DESCRIPTION:  Set the name for the
// postscript output. If this function isn't called prior to gr_begin(), the
// filename will be 'gri-00.ps'. As with all gr functions begining with the
// letters 'gr_setup_ps_', this has an effect ONLY if it preceeds plotting
// calls which affect the pen.
void
gr_setup_ps_filename(const char *new_name)
{
    if (_grNeedBegin) {
	user_gave_ps_filename = true;
	if (strlen(new_name) > 0)
	    strcpy(ps_filename, new_name);
	else
	    strcpy(ps_filename, "gri.ps");
    }
}

/*
 * gr_setup_ps_landscape() -- set ps printer to landscape mode
 *
 * NOTE:  Must call before gr_begin()
 */
void
gr_setup_ps_landscape()
{
    double           t0 = _grPageWidth_cm;
    _grPS_Landscape = true;
    _grPageWidth_cm = _grPageHeight_cm;
    _grPageHeight_cm = t0;
}

/*
 * gr_setup_ps_scale() -- set enlargement factors for x and y on ps printer
 * SYNOPSIS void	gr_setup_ps_scale(double xfactor,double yfactor)
 * DESCRIPTION:  Scales the plot on the page,by multiplying by the factors
 * 'xfactor' and 'yfactor'.  Note that x and y are exchanged on page if
 * gr_setup_grPS_Landscape() is also called. NOTE:  Must call before
 * gr_begin().
 */
void
gr_setup_ps_scale(double xfactor, double yfactor)
{
    _grPSScale_x = xfactor;
    _grPSScale_y = yfactor;
    _grPageWidth_cm *= xfactor;
    _grPageHeight_cm *= yfactor;
}

// gr_setxlabel() -- set name for x-axis
void
gr_setxlabel(const char *xlab)
{
    strncpy(_grXAxisLabel, xlab, LEN_lab);
}

// gr_setxnumberformat() -- set format for numbers
void
gr_setxnumberformat(const char *xformat)
{
    strncpy(_grNumFormat_x, xformat, LEN_num);
}

// gr_setxpagesize_cm() -- set page size for x 
// DESCRIPTION: Sets page size to 'x_cm'.
// Future x pen locations should be in range [0,x_cm].  If 'x_cm'<0,use
// default of 21.59.
void
gr_setxpagesize_cm(double x_cm)
{
    if (x_cm <= 0.0) {
	double          default_value = 21.59;
	sprintf(grTempString,
		"(gr_setxpagesize_cm): USED %g INSTEAD OF 'x_cm'=%g",
		default_value, x_cm);
	warning(grTempString);
	_grPageWidth_cm = default_value;
    } else {
	_grPageWidth_cm = x_cm;
    }
}

// gr_setxscale() -- set the scale for x
void
gr_setxscale(double xl_cm, double xr_cm, double xl, double xr)
{
    // XREF -- axis transform
    /* set up scale */
    _grxl_pt = xl_cm * PT_PER_CM;
    switch (_grTransform_x) {
    case gr_axis_LINEAR:
	_grxl = xl;
	_grCmPerUser_x = (xr_cm - xl_cm) / (xr - xl);
#if 1
	_ll_x_pt = xl_cm * PT_PER_CM;
	_ur_x_pt = xr_cm * PT_PER_CM;
	_ll_x_us = xl;
	_ur_x_us = xr;
#endif
	break;
    case gr_axis_LOG:
	if (xl <= 0.0 || xr <= 0.0) {
	    gr_Error("Log axis requires x values to exceed 0.\n");
	}
	_grxl = xl;
	_grCmPerUser_x = (xr_cm - xl_cm) / log10(xr / xl);
	break;
    default:
	gr_Error("unknown axis transformation (internal error)");
	break;
    }
    _grPtPerUser_x = _grCmPerUser_x * PT_PER_CM;
    /* test for weirdness */
    double error_test = GRI_ABS(_grxl_pt / PT_PER_CM - xr_cm);
    if (error_test < 0.1) {
	sprintf(grTempString,
	   "(gr_setxscale): _grxl_pt/PT_PER_CM=%g VERY CLOSE TO xr_cm=%g",
		_grxl_pt / PT_PER_CM, xr_cm);
	warning(grTempString);
    }
    if (error_test == 0.0) {
	sprintf(grTempString,
		"(gr_setxscale): _grxl_pt/PT_PER_CM = %g  ==  xr_cm=%g",
		_grxl_pt / PT_PER_CM, xr_cm);
	warning(grTempString);
    }
}

/*
 * gr_setxsubdivisions() -- set # subdivisions on x-axis SYNOPSIS void
 * gr_setxsubdivisions(int num) DESCRIPTION:  Sets the number of subdivisions
 * between numbered tics to 'num'
 */
void
gr_setxsubdivisions(int num)
{
    if (num > 0 && num < 100)
	_grNumSubDiv_x = num;
    else
	_grNumSubDiv_x = 1;
}

// gr_setxtransform() -- set transform for x-mapping
void
gr_setxtransform(gr_axis_properties xstyle)
{
    // XREF -- axis transform
    _grTransform_x = xstyle;
}

// gr_setylabel() -- set name for y-axis
void
gr_setylabel(const char *ylab)
{
    strncpy(_grYAxisLabel, ylab, LEN_lab);
}

// gr_setynumberformat() -- set format for numbers on y-axis
void
gr_setynumberformat(const char *yformat)
{
    strncpy(_grNumFormat_y, yformat, LEN_num);
}

// gr_setypagesize_cm() -- set page size for y
void
gr_setypagesize_cm(double y_cm)
{
    if (y_cm <= 0.0) {
	double          default_value = 27.94;
	sprintf(grTempString,
		"(gr_setypagesize_cm): USED %g INSTEAD OF 'y_cm'=%g",
		default_value, y_cm);
	warning(grTempString);
	_grPageHeight_cm = default_value;
    } else {
	_grPageHeight_cm = y_cm;
    }
}

// gr_setyscale() -- set the scale for y
void
gr_setyscale(double yb_cm, double yt_cm, double yb, double yt)
{
    // XREF -- axis transform
    /* set up scale */
    _gryb_pt = yb_cm * PT_PER_CM;
    switch (_grTransform_y) {
    case gr_axis_LINEAR:
	_gryb = yb;
	_grCmPerUser_y = (yt_cm - yb_cm) / (yt - yb);
#if 1
	_ll_y_pt = yb_cm * PT_PER_CM;
	_ur_y_pt = yt_cm * PT_PER_CM;
	_ll_y_us = yb;
	_ur_y_us = yt;
#endif
	break;
    case gr_axis_LOG:
	if (yb <= 0.0 || yt <= 0.0) {
	    gr_Error("Log axis requires y values to exceed 0.\n");
	}
	_gryb = yb;
	_grCmPerUser_y = (yt_cm - yb_cm) / log10(yt / yb);
	break;
    default:
	gr_Error("unknown y transform"); // impossible to get here
	break;
    }
    _grPtPerUser_y = _grCmPerUser_y * PT_PER_CM;
    /* test for weirdness */
    double error_test = GRI_ABS(_gryb_pt / PT_PER_CM - yt_cm);
    if (error_test < 0.1) {
	sprintf(grTempString,
	   "(gr_setyscale): _gryb_pt/PT_PER_CM=%g VERY CLOSE TO yt_cm=%g",
		_gryb_pt / PT_PER_CM, yt_cm);
	warning(grTempString);
    }
    if (error_test == 0.0) {
	sprintf(grTempString,
		"(gr_setyscale): _gryb_pt/PT_PER_CM=%g  ==  yt_cm=%g",
		_gryb_pt / PT_PER_CM, yt_cm);
	warning(grTempString);
    }
}				/* end of gr_setyscale() */

/*
 * gr_setysubdivisions() -- set # subdivisions on y-axis SYNOPSIS void
 * gr_setysubdivisions(int num) DESCRIPTION:  Corresponds to
 * gr_setxsubdivisions().
 */
void
gr_setysubdivisions(int num)
{
    if (num > 0 && num < 100)
	_grNumSubDiv_y = num;
    else
	_grNumSubDiv_y = 1;
}

// gr_setytransform() -- set transform for y-mapping
void
gr_setytransform(gr_axis_properties ystyle)
{
    _grTransform_y = ystyle;
}

// gr_showpage() -- print this page, and start a new one
void
gr_showpage()
{
    fprintf(_grPS, PS_showpage);
    handle_landscape_scale(_grPS);
    which_page++;
    fprintf(_grPS, "%%%%Page: %d %d\n", which_page, which_page);
#if 0                           // as per PSG change, 98-oct-1
    fprintf(_grPS, "/Helvetica findfont 12.00 sc sf\n"); // need some font (guess this one)!
#endif
}

// Convert user units to cm on page,, using gr_usertopt
void
gr_usertocm(double x, double y, double *x_cm, double *y_cm)
{
    gr_usertopt(x, y, x_cm, y_cm);
    *x_cm /= PT_PER_CM;
    *y_cm /= PT_PER_CM;
}
double
gr_usertocm_x(double x, double y)
{
    double x_cm, y_cm;
    gr_usertopt(x, y, &x_cm, &y_cm);
    return (x_cm / PT_PER_CM);
}
double
gr_usertocm_y(double x, double y)
{
    double x_cm, y_cm;
    gr_usertopt(x, y, &x_cm, &y_cm);
    return (y_cm / PT_PER_CM);
}

/*
 * gr_usertopt() -- convert user units to points on the page.  This is a base
 * routine used by all drawing routines.
 * 
 * Adding projections: change this, also gr_cmtouser(), also
 * show_axesCmd()/show.c.
 * 
 * 
 * Known projections:
 * 
 * LINEAR: scale to page units, then plot.
 * 
 * LOG: log transform, scale to page units, then plot.
 * 
 */
void
gr_usertopt(double x, double y, double *x_pt, double *y_pt)
{
    // XREF -- axis transform
    double          xx, yy;
    switch (_grTransform_x) {
    case gr_axis_LINEAR:
#if NEW_TRANSFORM
	*x_pt = interpolate_linear(x, _ll_x_us, _ll_x_pt, _ur_x_us, _ur_x_pt);
#else
	*x_pt = _grxl_pt + (x - _grxl) * _grPtPerUser_x;
#endif
	break;
    case gr_axis_LOG:
	if (x <= 0.0) {
	    sprintf(_grTempString, "can't use negative x (%g) with LOG axis.", x);
	    gr_Error(_grTempString);
	} else {
	    xx = log10(x / _grxl);
	    *x_pt = _grxl_pt + xx * _grPtPerUser_x;
	}
	break;
    default:
	gr_Error("unknown x transform"); // impossible to get here
    }
    switch (_grTransform_y) {
    case gr_axis_LINEAR:
#if NEW_TRANSFORM
	*y_pt = interpolate_linear(y, _ll_y_us, _ll_y_pt, _ur_y_us, _ur_y_pt);
#else
	*y_pt = _gryb_pt + (y - _gryb) * _grPtPerUser_y;
#endif
	break;
    case gr_axis_LOG:
	if (y <= 0.0) {
	    sprintf(_grTempString, "can't use negative y (%g) with LOG axis.", y);
	    gr_Error(_grTempString);
	} else {
	    yy = log10(y / _gryb);
	    *y_pt = _gryb_pt + yy * _grPtPerUser_y;
	}
	break;
    default:
	gr_Error("unknown y transform");
    }
}