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TeX 1995 July
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TeX CD-ROM July 1995 (Disc 1)(Walnut Creek)(1995).ISO
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dvibook
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libtex
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dvi_draw.c
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1994-03-18
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/*
* Support drawing routines for TeXsun and TeX
*
* Copyright, (C) 1987, 1988 Tim Morgan, UC Irvine
* Copyright 1989 Dirk Grunwald (extensions & fixes)
*
* Permission to use, copy, modify, distribute, and sell this software
* and its documentation for any purpose is hereby granted without fee,
* provided that the above copyright notice appear in all copies and that
* both that copyright notice and this permission notice appear in
* supporting documentation, and that the name of Tim Morgan, Dirk
* Grunwald or M.I.T. not be used in advertising or publicity
* pertaining to distribution of the software without specific,
* written prior permission. Tim Morgan, Dirk Grunwald and M.I.T.
* makes no representations about the suitability of
* this software for any purpose. It is provided "as is" without express
* or implied warranty.
*
* TIM MORGAN,
* DIRK GRUNWALD AND M.I.T. DISCLAIMS ALL WARRANTIES WITH REGARD TO THIS
* SOFTWARE, INCLUDING ALL IMPLIED WARRANTIES OF MERCHANTABILITY AND
* FITNESS, IN NO EVENT SHALL M.I.T. BE LIABLE FOR ANY SPECIAL, INDIRECT
* OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES WHATSOEVER RESULTING FROM LOSS
* OF USE, DATA OR PROFITS, WHETHER IN AN ACTION OF CONTRACT, NEGLIGENCE
* OR OTHER TORTIOUS ACTION, ARISING OUT OF OR IN CONNECTION WITH THE USE
* OR PERFORMANCE OF THIS SOFTWARE.
*
* Author:
* Tim Morgan
* Dept. of Computer Science
* Univ. of Calf. at Irvine
*
* Dirk Grunwald
* Dept. of Computer Science
*
*
* At the time these routines are called, the values of hh and vv should
* have been updated to the upper left corner of the graph (the position
* the \special appears at in the dvi file). Then the coordinates in the
* graphics commands are in terms of a virtual page with axes oriented the
* same as the Imagen and the SUN normally have:
*
* 0,0
* +-----------> +x
* |
* |
* |
* \ /
* +y
*
* Angles are measured in the conventional way, from +x towards +y.
* Unfortunately, that reverses the meaning of "counterclockwise"
* from what it's normally thought of.
*
* A lot of floating point arithmetic has been converted to integer
* arithmetic for speed. In some places, this is kind-of kludgy, but
* it's worth it.
*/
static char *rcsid="$Header: /usr/local/src/Uiuctex/libtex/RCS/dvi_draw.c,v 1.3 88/02/19 17:00:34 grunwald Exp Locker: grunwald $" ;
#include <math.h>
#include <stdio.h>
#include <ctype.h>
#define MAXPOINTS 300 /* Max points in a path */
#define TWOPI (3.14159265359*2.0)
#define MAX_PEN_SIZE 7 /* Max pixels of pen width */
static int xx[MAXPOINTS], yy[MAXPOINTS]; /* Path in milli-inches */
static int path_len = 0; /* # points in current path */
int pen_size = 1; /* Pixel width of lines drawn */
#define FALSE 0
#define TRUE 1
int whiten = FALSE, shade = FALSE, blacken = FALSE;
extern void dot_at(), line_btw(), do_attribute_path();
#define shrink_factor shrinkFactor[currentShrink]
/* Unfortunately, these values also appear in dvisun.c */
#define xRESOLUTION (dviDPI/shrink_factor)
#define yRESOLUTION (dviDPI/shrink_factor)
extern int dviDPI, currentShrink, shrinkFactor[];
/*
* Issue warning/error messages
*/
void Fatal(msg)
char *msg;
{
fprintf(stderr, "%s\n", msg);
exit(1);
}
static void Warning(fmt, msg)
char *fmt, *msg;
{
fprintf(stderr, fmt, msg);
fputc ('\n', stderr);
}
/*
* Set the size of the virtual pen used to draw in milli-inches
*/
/* ARGSUSED */
void set_pen_size(cp)
char *cp;
{
int ps;
if (sscanf(cp, " %d ", &ps) != 1) {
Warning("illegal .ps command format: %s", cp);
return;
}
pen_size = (ps*(xRESOLUTION+yRESOLUTION) + 1000) / 2000;
if (pen_size < 1) pen_size = 1;
else if (pen_size > MAX_PEN_SIZE) pen_size = MAX_PEN_SIZE;
}
/*
* Print the line defined by previous path commands
*/
void flush_path()
{
register int i;
int last_min_x, last_max_x, last_min_y, last_max_y;
last_min_x = 30000; last_min_y = 30000;
last_max_x = -30000; last_max_y = -30000;
for (i=1; i<path_len; i++) {
if (xx[i] > last_max_x) last_max_x = xx[i];
if (xx[i] < last_min_x) last_min_x = xx[i];
if (yy[i] > last_max_y) last_max_y = yy[i];
if (yy[i] < last_min_y) last_min_y = yy[i];
line_btw(xx[i], yy[i], xx[i+1], yy[i+1]);
}
if (xx[path_len] > last_max_x) last_max_x = xx[path_len];
if (xx[path_len] < last_min_x) last_min_x = xx[path_len];
if (yy[path_len] > last_max_y) last_max_y = yy[path_len];
if (yy[path_len] < last_min_y) last_min_y = yy[path_len];
path_len = 0;
do_attribute_path(last_min_x, last_max_x, last_min_y, last_max_y);
}
/*
* Print a dashed line along the previously defined path, with
* the dashes/inch defined.
*/
void flush_dashed(cp, dotted)
char *cp;
int dotted;
{
int i, numdots, x0, y0, x1, y1;
int cx0, cy0, cx1, cy1;
float inchesperdash;
double d, spacesize, a, b, dx, dy, milliperdash;
if (sscanf(cp, " %f ", &inchesperdash) != 1) {
Warning("illegal format for dotted/dashed line: %s", cp);
return;
}
if (path_len <= 1 || inchesperdash <= 0.0) {
Warning("illegal conditions for dotted/dashed line");
return;
}
milliperdash = inchesperdash * 1000.0;
x0 = xx[1]; y0 = yy[1];
x1 = xx[2]; y1 = yy[2];
dx = x1 - x0;
dy = y1 - y0;
if (dotted) {
numdots = sqrt(dx*dx + dy*dy) / milliperdash + 0.5;
if ( numdots == 0 ) { /* always draw at least one dot */
numdots = 1;
}
for (i=0; i <= numdots; i++) {
a = (float) i / (float) numdots;
cx0 = x0 + a*dx + 0.5;
cy0 = y0 + a*dy + 0.5;
dot_at(cx0, cy0);
}
}
else {
d = sqrt(dx*dx + dy*dy);
if (d <= 2.0*milliperdash)
line_btw(x0, y0, x1, y1);
else {
numdots = d / (2.0*milliperdash) + 1.0;
spacesize = (d - numdots * milliperdash) / (numdots - 1);
for (i=0; i<numdots-1; i++) {
a = i * (milliperdash + spacesize) / d;
b = a + milliperdash / d;
cx0 = x0 + a*dx + 0.5;
cy0 = y0 + a*dy + 0.5;
cx1 = x0 + b*dx + 0.5;
cy1 = y0 + b*dy + 0.5;
line_btw(cx0, cy0, cx1, cy1);
b += spacesize / d;
}
cx0 = x0 + b*dx + 0.5;
cy0 = y0 + b*dy + 0.5;
line_btw(cx0, cy0, x1, y1);
}
}
path_len = 0;
}
/*
* Add a point to the current path
*/
void add_path(cp)
char *cp;
{
int pathx, pathy;
if (++path_len >= MAXPOINTS) Fatal("Too many points");
if (sscanf(cp, " %d %d ", &pathx, &pathy) != 2)
Fatal("Malformed path command");
xx[path_len] = pathx;
yy[path_len] = pathy;
}
/*
* Draw to a floating point position
*/
static void im_fdraw(x, y)
double x,y;
{
if (++path_len >= MAXPOINTS) Fatal("Too many arc points");
xx[path_len] = x + 0.5;
yy[path_len] = y + 0.5;
}
/*
* Draw an arc
*/
void arc(cp)
char *cp;
{
int xc, yc, xrad, yrad, n;
float start_angle, end_angle, angle, theta, r;
double xradius, yradius, xcenter, ycenter;
if (sscanf(cp, " %d %d %d %d %f %f ", &xc, &yc, &xrad, &yrad, &start_angle,
&end_angle) != 6) {
Warning("illegal arc specification: %s", cp);
return;
}
/* We have a specialized fast way to draw closed circles/ellipses */
if (start_angle <= 0.0 && end_angle >= 6.282) {
draw_ellipse(xc, yc, xrad, yrad);
return;
}
xcenter = xc;
ycenter = yc;
xradius = xrad;
yradius = yrad;
r = (xradius + yradius) / 2.0;
theta = sqrt(1.0 / r);
n = 0.3 * TWOPI / theta + 0.5;
if (n < 12) n = 12;
else if (n > 80) n = 80;
n /= 2;
theta = TWOPI / n;
flush_path();
im_fdraw( xcenter + xradius*cos(start_angle),
ycenter + yradius*sin(start_angle) );
angle = start_angle + theta;
while (angle < end_angle) {
im_fdraw(xcenter + xradius*cos(angle),
ycenter + yradius*sin(angle) );
angle += theta;
}
im_fdraw(xcenter + xradius*cos(end_angle),
ycenter + yradius*sin(end_angle) );
flush_path();
}
/*
* APPROXIMATE integer distance between two points
*/
#define dist(x0, y0, x1, y1) (abs(x0-x1)+abs(y0-y1))
/*
* Draw a spline along the previously defined path
*/
void flush_spline()
{
int xp, yp, N, lastx=(-1), lasty;
int t1, t2, t3, steps, j;
register int i, w;
#ifdef lint
lasty = -1;
#endif
N = path_len + 1;
xx[0] = xx[1]; yy[0] = yy[1];
xx[N] = xx[N-1]; yy[N] = yy[N-1];
for (i=0; i<N-1; i++) { /* interval */
steps = (dist(xx[i], yy[i], xx[i+1], yy[i+1]) +
dist(xx[i+1], yy[i+1], xx[i+2], yy[i+2])) / 80;
for (j=0; j<steps; j++) { /* points within */
w = (j*1000 + 500) / steps;
t1 = w * w / 20;
w -= 500;
t2 = (750000 - w * w) / 10;
w -= 500;
t3 = w * w / 20;
xp = (t1*xx[i+2] + t2*xx[i+1] + t3*xx[i] + 50000) / 100000;
yp = (t1*yy[i+2] + t2*yy[i+1] + t3*yy[i] + 50000) / 100000;
if (lastx > -1) line_btw(lastx, lasty, xp, yp);
lastx = xp;
lasty = yp;
}
}
path_len = 0;
}
/*
* Shade the last box, circle, or ellipse
*/
void shade_last()
{
blacken = whiten = FALSE;
shade = TRUE;
}
/*
* Make the last box, circle, or ellipse, white inside (shade with white)
*/
void whiten_last()
{
whiten = TRUE;
blacken = shade = FALSE;
}
/*
* Make last box, etc, black inside
*/
void blacken_last()
{
blacken = TRUE;
whiten = shade = FALSE;
}
/*
* Draw an ellipse with the indicated center and radices.
*/
draw_ellipse(xc, yc, xr, yr)
int xc, yc, xr, yr;
{
double angle, theta;
int n, px0, py0, px1, py1;
angle = (xr + yr) / 2.0;
theta = sqrt(1.0 / angle);
n = TWOPI / theta + 0.5;
if (n < 12) n = 12;
else if (n > 80) n = 80;
n /= 2;
theta = TWOPI / n;
angle = 0.0;
px0 = xc + xr; /* cos(0) = 1 */
py0 = yc; /* Sin(0) = 0 */
while ((angle += theta) <= TWOPI) {
px1 = xc + xr*cos(angle) + 0.5;
py1 = yc + yr*sin(angle) + 0.5;
line_btw(px0, py0, px1, py1);
px0 = px1;
py0 = py1;
}
line_btw(px0, py0, xc + xr, yc);
}