root/usr/src/cmd/troff/troff.d/draw.c
/*
 * CDDL HEADER START
 *
 * The contents of this file are subject to the terms of the
 * Common Development and Distribution License, Version 1.0 only
 * (the "License").  You may not use this file except in compliance
 * with the License.
 *
 * You can obtain a copy of the license at usr/src/OPENSOLARIS.LICENSE
 * or http://www.opensolaris.org/os/licensing.
 * See the License for the specific language governing permissions
 * and limitations under the License.
 *
 * When distributing Covered Code, include this CDDL HEADER in each
 * file and include the License file at usr/src/OPENSOLARIS.LICENSE.
 * If applicable, add the following below this CDDL HEADER, with the
 * fields enclosed by brackets "[]" replaced with your own identifying
 * information: Portions Copyright [yyyy] [name of copyright owner]
 *
 * CDDL HEADER END
 */
/*
 * Copyright 1989 Sun Microsystems, Inc.  All rights reserved.
 * Use is subject to license terms.
 */

/*      Copyright (c) 1984, 1986, 1987, 1988, 1989 AT&T */
/*        All Rights Reserved   */

/*
 * University Copyright- Copyright (c) 1982, 1986, 1988
 * The Regents of the University of California
 * All Rights Reserved
 *
 * University Acknowledgment- Portions of this document are derived from
 * software developed by the University of California, Berkeley, and its
 * contributors.
 */

#include        <stdio.h>
#include        <math.h>
#define PI      3.141592654
#define hmot(n)         hpos += n
#define hgoto(n)        hpos = n
#define vmot(n)         vgoto(vpos + n)

extern  int     hpos;
extern  int     vpos;
extern  int     size;
extern  short   *pstab;
extern  int     DX;     /* step size in x */
extern  int     DY;     /* step size in y */
extern  int     drawdot;        /* character to use when drawing */
extern  int     drawsize;       /* shrink point size by this facter */

int     maxdots = 32000;        /* maximum number of dots in an object */

#define sgn(n)  ((n > 0) ? 1 : ((n < 0) ? -1 : 0))
#define abs(n)  ((n) >= 0 ? (n) : -(n))
#define max(x,y)        ((x) > (y) ? (x) : (y))
#define min(x,y)        ((x) < (y) ? (x) : (y))
#define arcmove(x,y)    { hgoto(x); vmot(-vpos-(y)); }

/* draw line from here to dx, dy using s */
int
drawline(int dx, int dy, char *s)
{
        int xd, yd;
        float val, slope;
        int i, numdots;
        int dirmot, perp;
        int motincr, perpincr;
        int ohpos, ovpos, osize, ofont;
        float incrway;

        int itemp; /*temp. storage for value returned byint function sgn*/
        osize = size;
        setsize(t_size(pstab[osize-1] / drawsize));
        ohpos = hpos;
        ovpos = vpos;
        xd = dx / DX;
        yd = dy / DX;
        if (xd == 0) {
                numdots = abs (yd);
                numdots = min(numdots, maxdots);
                motincr = DX * sgn (yd);
                for (i = 0; i < numdots; i++) {
                        vmot(motincr);
                        put1(drawdot);
                }
                vgoto(ovpos + dy);
                setsize(osize);
                return (0);
        }
        if (yd == 0) {
                numdots = abs (xd);
                motincr = DX * sgn (xd);
                for (i = 0; i < numdots; i++) {
                        hmot(motincr);
                        put1(drawdot);
                }
                hgoto(ohpos + dx);
                setsize(osize);
                return (0);
        }
        if (abs (xd) > abs (yd)) {
                val = slope = (float) xd/yd;
                numdots = abs (xd);
                numdots = min(numdots, maxdots);
                dirmot = 'h';
                perp = 'v';
                motincr = DX * sgn (xd);
                perpincr = DX * sgn (yd);
        }
        else {
                val = slope = (float) yd/xd;
                numdots = abs (yd);
                numdots = min(numdots, maxdots);
                dirmot = 'v';
                perp = 'h';
                motincr = DX * sgn (yd);
                perpincr = DX * sgn (xd);
        }
        incrway = itemp = sgn ((int) slope);
        for (i = 0; i < numdots; i++) {
                val -= incrway;
                if (dirmot == 'h')
                        hmot(motincr);
                else
                        vmot(motincr);
                if (val * slope < 0) {
                        if (perp == 'h')
                                hmot(perpincr);
                        else
                                vmot(perpincr);
                        val += slope;
                }
                put1(drawdot);
        }
        hgoto(ohpos + dx);
        vgoto(ovpos + dy);
        setsize(osize);

        return (0);
}

int
drawwig(char *s)        /* draw wiggly line */
{
        int x[50], y[50], xp, yp, pxp, pyp;
        float t1, t2, t3, w;
        int i, j, numdots, N;
        int osize, ofont;
        char temp[50], *p, *getstr();

        osize = size;
        setsize(t_size(pstab[osize-1] / drawsize));
        p = s;
        for (N = 2; (p=getstr(p,temp)) != NULL && N < sizeof(x)/sizeof(x[0]); N++) {
                x[N] = atoi(temp);
                p = getstr(p, temp);
                y[N] = atoi(temp);
        }
        x[0] = x[1] = hpos;
        y[0] = y[1] = vpos;
        for (i = 1; i < N; i++) {
                x[i+1] += x[i];
                y[i+1] += y[i];
        }
        x[N] = x[N-1];
        y[N] = y[N-1];
        pxp = pyp = -9999;
        for (i = 0; i < N-1; i++) {     /* interval */
                numdots = (dist(x[i],y[i], x[i+1],y[i+1]) + dist(x[i+1],y[i+1], x[i+2],y[i+2])) / 2;
                numdots /= DX;
                numdots = min(numdots, maxdots);
                for (j = 0; j < numdots; j++) { /* points within */
                        w = (float) j / numdots;
                        t1 = 0.5 * w * w;
                        w = w - 0.5;
                        t2 = 0.75 - w * w;
                        w = w - 0.5;
                        t3 = 0.5 * w * w;
                        xp = t1 * x[i+2] + t2 * x[i+1] + t3 * x[i] + 0.5;
                        yp = t1 * y[i+2] + t2 * y[i+1] + t3 * y[i] + 0.5;
                        if (xp != pxp || yp != pyp) {
                                hgoto(xp);
                                vgoto(yp);
                                put1(drawdot);
                                pxp = xp;
                                pyp = yp;
                        }
                }
        }
        setsize(osize);

        return (0);
}

/* copy next non-blank string from p to temp, update p */
char *getstr(char *p, char *temp)
{
        while (*p == ' ' || *p == '\t' || *p == '\n')
                p++;
        if (*p == '\0') {
                temp[0] = 0;
                return(NULL);
        }
        while (*p != ' ' && *p != '\t' && *p != '\n' && *p != '\0')
                *temp++ = *p++;
        *temp = '\0';
        return(p);
}

int
drawcirc(int d)
{
        int xc, yc;

        xc = hpos;
        yc = vpos;
        conicarc(hpos + d/2, -vpos, hpos, -vpos, hpos, -vpos, d/2, d/2);
        hgoto(xc + d);  /* circle goes to right side */
        vgoto(yc);

        return (0);
}

/* integer distance from x1,y1 to x2,y2 */
int
dist(int x1, int y1, int x2, int y2)
{
        float dx, dy;

        dx = x2 - x1;
        dy = y2 - y1;
        return sqrt(dx*dx + dy*dy) + 0.5;
}

int
drawarc(int dx1, int dy1, int dx2, int dy2)
{
        int x0, y0, x2, y2, r;

        x0 = hpos + dx1;        /* center */
        y0 = vpos + dy1;
        x2 = x0 + dx2;  /* "to" */
        y2 = y0 + dy2;
        r = sqrt((float) dx1 * dx1 + (float) dy1 * dy1) + 0.5;
        conicarc(x0, -y0, hpos, -vpos, x2, -y2, r, r);

        return (0);
}

int
drawellip(int a, int b)
{
        int xc, yc;

        xc = hpos;
        yc = vpos;
        conicarc(hpos + a/2, -vpos, hpos, -vpos, hpos, -vpos, a/2, b/2);
        hgoto(xc + a);
        vgoto(yc);

        return (0);
}

#define sqr(x) (long int)(x)*(x)

int
conicarc(int x, int y, int x0, int y0, int x1, int y1, int a, int b)
{
        /* based on Bresenham, CACM, Feb 77, pp 102-3 */
        /* by Chris Van Wyk */
        /* capitalized vars are an internal reference frame */
        long dotcount = 0;
        int osize, ofont;
        int     xs, ys, xt, yt, Xs, Ys, qs, Xt, Yt, qt,
                M1x, M1y, M2x, M2y, M3x, M3y,
                Q, move, Xc, Yc;
        int ox1, oy1;
        long    delta;
        float   xc, yc;
        float   radius, slope;
        float   xstep, ystep;

        osize = size;
        setsize(t_size(pstab[osize-1] / drawsize));
        ox1 = x1;
        oy1 = y1;
        if (a != b)     /* an arc of an ellipse; internally, will still think of circle */
                if (a > b) {
                        xstep = (float)a / b;
                        ystep = 1;
                        radius = b;
                } else {
                        xstep = 1;
                        ystep = (float)b / a;
                        radius = a;
                }
        else {  /* a circular arc; radius is computed from center and first point */
                xstep = ystep = 1;
                radius = sqrt((float)(sqr(x0 - x) + sqr(y0 - y)));
        }


        xc = x0;
        yc = y0;
        /* now, use start and end point locations to figure out
        the angle at which start and end happen; use these
        angles with known radius to figure out where start
        and end should be
        */
        slope = atan2((double)(y0 - y), (double)(x0 - x) );
        if (slope == 0.0 && x0 < x)
                slope = 3.14159265;
        x0 = x + radius * cos(slope) + 0.5;
        y0 = y + radius * sin(slope) + 0.5;
        slope = atan2((double)(y1 - y), (double)(x1 - x));
        if (slope == 0.0 && x1 < x)
                slope = 3.14159265;
        x1 = x + radius * cos(slope) + 0.5;
        y1 = y + radius * sin(slope) + 0.5;
        /* step 2: translate to zero-centered circle */
        xs = x0 - x;
        ys = y0 - y;
        xt = x1 - x;
        yt = y1 - y;
        /* step 3: normalize to first quadrant */
        if (xs < 0)
                if (ys < 0) {
                        Xs = abs(ys);
                        Ys = abs(xs);
                        qs = 3;
                        M1x = 0;
                        M1y = -1;
                        M2x = 1;
                        M2y = -1;
                        M3x = 1;
                        M3y = 0;
                } else {
                        Xs = abs(xs);
                        Ys = abs(ys);
                        qs = 2;
                        M1x = -1;
                        M1y = 0;
                        M2x = -1;
                        M2y = -1;
                        M3x = 0;
                        M3y = -1;
                }
        else if (ys < 0) {
                Xs = abs(xs);
                Ys = abs(ys);
                qs = 0;
                M1x = 1;
                M1y = 0;
                M2x = 1;
                M2y = 1;
                M3x = 0;
                M3y = 1;
        } else {
                Xs = abs(ys);
                Ys = abs(xs);
                qs = 1;
                M1x = 0;
                M1y = 1;
                M2x = -1;
                M2y = 1;
                M3x = -1;
                M3y = 0;
        }


        Xc = Xs;
        Yc = Ys;
        if (xt < 0)
                if (yt < 0) {
                        Xt = abs(yt);
                        Yt = abs(xt);
                        qt = 3;
                } else {
                        Xt = abs(xt);
                        Yt = abs(yt);
                        qt = 2;
                }
        else if (yt < 0) {
                Xt = abs(xt);
                Yt = abs(yt);
                qt = 0;
        } else {
                Xt = abs(yt);
                Yt = abs(xt);
                qt = 1;
        }


        /* step 4: calculate number of quadrant crossings */
        if (((4 + qt - qs)
             % 4 == 0)
             && (Xt <= Xs)
             && (Yt >= Ys)
            )
                Q = 3;
        else
                Q = (4 + qt - qs) % 4 - 1;
        /* step 5: calculate initial decision difference */
        delta = sqr(Xs + 1)
         + sqr(Ys - 1)
        -sqr(xs)
        -sqr(ys);
        /* here begins the work of drawing
   we hope it ends here too */
        while ((Q >= 0)
             || ((Q > -2)
             && ((Xt > Xc)
             && (Yt < Yc)
            )
            )
            ) {
                if (dotcount++ % DX == 0)
                        putdot((int)xc, (int)yc);
                if (Yc < 0.5) {
                        /* reinitialize */
                        Xs = Xc = 0;
                        Ys = Yc = sqrt((float)(sqr(xs) + sqr(ys)));
                        delta = sqr(Xs + 1) + sqr(Ys - 1) - sqr(xs) - sqr(ys);
                        Q--;
                        M1x = M3x;
                        M1y = M3y;
                         {
                                int     T;
                                T = M2y;
                                M2y = M2x;
                                M2x = -T;
                                T = M3y;
                                M3y = M3x;
                                M3x = -T;
                        }
                } else {
                        if (delta <= 0)
                                if (2 * delta + 2 * Yc - 1 <= 0)
                                        move = 1;
                                else
                                        move = 2;
                        else if (2 * delta - 2 * Xc - 1 <= 0)
                                move = 2;
                        else
                                move = 3;
                        switch (move) {
                        case 1:
                                Xc++;
                                delta += 2 * Xc + 1;
                                xc += M1x * xstep;
                                yc += M1y * ystep;
                                break;
                        case 2:
                                Xc++;
                                Yc--;
                                delta += 2 * Xc - 2 * Yc + 2;
                                xc += M2x * xstep;
                                yc += M2y * ystep;
                                break;
                        case 3:
                                Yc--;
                                delta -= 2 * Yc + 1;
                                xc += M3x * xstep;
                                yc += M3y * ystep;
                                break;
                        }
                }
        }


        setsize(osize);
        drawline((int)xc-ox1,(int)yc-oy1,".");

        return (0);
}

int
putdot(int x, int y)
{
        arcmove(x, y);
        put1(drawdot);

        return (0);
}