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      1 /*
      2  *
      3 Copyright (c) 1991  X Consortium
      4 
      5 Permission is hereby granted, free of charge, to any person obtaining a copy
      6 of this software and associated documentation files (the "Software"), to deal
      7 in the Software without restriction, including without limitation the rights
      8 to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
      9 copies of the Software, and to permit persons to whom the Software is
     10 furnished to do so, subject to the following conditions:
     11 
     12 The above copyright notice and this permission notice shall be included in
     13 all copies or substantial portions of the Software.
     14 
     15 THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
     16 IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
     17 FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT.  IN NO EVENT SHALL THE
     18 X CONSORTIUM BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN
     19 AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN
     20 CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.
     21 
     22 Except as contained in this notice, the name of the X Consortium shall not be
     23 used in advertising or otherwise to promote the sale, use or other dealings
     24 in this Software without prior written authorization from the X Consortium.
     25  *
     26  */
     27 
     28 /*
     29  * draw.c
     30  *
     31  * accept dvi function calls and translate to X
     32  */
     33 
     34 /*
     35   Support for ditroff drawing commands added: lines, circles, ellipses,
     36   arcs and splines.  Splines are approximated as short lines by iterating
     37   a simple approximation algorithm.  This seems good enough for previewing.
     38 
     39   David Evans <dre (at) cs.nott.ac.uk>, 14th March, 1990
     40 */
     41 #ifdef HAVE_CONFIG_H
     42 # include "config.h"
     43 #endif
     44 
     45 #include <X11/Xos.h>
     46 #include <X11/IntrinsicP.h>
     47 #include <X11/StringDefs.h>
     48 #include <stdio.h>
     49 #include <ctype.h>
     50 #include <math.h>
     51 #include "DviP.h"
     52 #include <stdlib.h>
     53 
     54 #ifndef M_PI
     55 #define M_PI 3.14159265358979323846264338327950
     56 #endif
     57 
     58 /*	the following are for use in the spline approximation algorithm */
     59 
     60 typedef struct Point {
     61     double x;
     62     double y;
     63     struct Point *next;
     64 } Point;
     65 
     66 #define	ITERATIONS	10      /* iterations to approximate spline */
     67 
     68 #define	midx(p,q)	((p->x + q->x) / 2)     /* mid x point on pq */
     69 #define	midy(p,q)	((p->y + q->y) / 2)     /* mid y point on pq */
     70 
     71 #define	length(p,q)	sqrt(((q->x - p->x)*(q->x - p->x)) \
     72 			     + ((q->y - p->y)*(q->y - p->y))) /* length of pq */
     73 
     74 static Point *spline = (Point *) NULL;  /* head of spline linked list */
     75 
     76 static void     ApproxSpline(int n);
     77 static void     DeletePoint(Point *p);
     78 static void     DrawSplineSegments(DviWidget dw);
     79 static int      GetSpline(const char *s);
     80 static void     InsertPoint(Point *p, Point *q);
     81 static void     LineApprox(Point *p1, Point *p2, Point *p3);
     82 static Point *  MakePoint(double x, double y);
     83 
     84 #ifdef USE_XFT
     85 static void
     86 DrawText(DviWidget dw)
     87 {
     88     XftFont *font = dw->dvi.cache.font;
     89 
     90     for (int i = 0; i <= dw->dvi.cache.index; i++) {
     91         if (dw->dvi.cache.cache[i].font)
     92             font = dw->dvi.cache.cache[i].font;
     93         XftDrawString8(dw->dvi.draw, &dw->dvi.black,
     94                        font,
     95                        dw->dvi.cache.cache[i].x,
     96                        dw->dvi.cache.start_y,
     97                        (unsigned char *) dw->dvi.cache.cache[i].chars,
     98                        dw->dvi.cache.cache[i].nchars);
     99     }
    100 }
    101 #endif
    102 
    103 void
    104 FlushCharCache(DviWidget dw)
    105 {
    106     int xx = ToX(dw, dw->dvi.state->x);
    107     int yx = ToX(dw, dw->dvi.state->y);
    108 
    109     if (dw->dvi.cache.char_index != 0) {
    110 #ifdef USE_XFT
    111         DrawText(dw);
    112 #else
    113         XDrawText(XtDisplay(dw), XtWindow(dw), dw->dvi.normal_GC,
    114                   dw->dvi.cache.start_x, dw->dvi.cache.start_y,
    115                   dw->dvi.cache.cache, dw->dvi.cache.index + 1);
    116 #endif
    117     }
    118     dw->dvi.cache.index = 0;
    119     dw->dvi.cache.max = DVI_TEXT_CACHE_SIZE;
    120     if (dw->dvi.noPolyText)
    121         dw->dvi.cache.max = 1;
    122     dw->dvi.cache.char_index = 0;
    123     dw->dvi.cache.cache[0].nchars = 0;
    124     dw->dvi.cache.start_x = dw->dvi.cache.x = xx;
    125     dw->dvi.cache.start_y = dw->dvi.cache.y = yx;
    126 }
    127 
    128 void
    129 SetGCForDraw(DviWidget dw)
    130 {
    131     if (dw->dvi.state->line_style != dw->dvi.line_style ||
    132         dw->dvi.state->line_width != dw->dvi.line_width) {
    133         int lw = ToX(dw, dw->dvi.state->line_width);
    134 
    135         if (lw <= 1)
    136             lw = 0;
    137         XSetLineAttributes(XtDisplay(dw), dw->dvi.normal_GC,
    138                            lw, LineSolid, CapButt, JoinMiter);
    139         dw->dvi.line_style = dw->dvi.state->line_style;
    140         dw->dvi.line_width = dw->dvi.state->line_width;
    141     }
    142 }
    143 
    144 void
    145 DrawLine(DviWidget dw, int x, int y)
    146 {
    147     if (dw->dvi.display_enable)
    148         XDrawLine(XtDisplay(dw), XtWindow(dw), dw->dvi.normal_GC,
    149                   ToX(dw, dw->dvi.state->x), ToX(dw, dw->dvi.state->y),
    150                   ToX(dw, dw->dvi.state->x + x), ToX(dw, dw->dvi.state->y + y));
    151     dw->dvi.state->x += x;
    152     dw->dvi.state->y += y;
    153 }
    154 
    155 void
    156 DrawCircle(DviWidget dw, int diameter)
    157 {
    158     if (dw->dvi.display_enable)
    159         XDrawArc(XtDisplay(dw), XtWindow(dw), dw->dvi.normal_GC,
    160                  ToX(dw, dw->dvi.state->x),
    161                  ToX(dw, dw->dvi.state->y - (diameter / 2)),
    162                  ToX(dw, diameter), ToX(dw, diameter), 0, 360 * 64);
    163     dw->dvi.state->x += diameter;
    164 }
    165 
    166 void
    167 DrawEllipse(DviWidget dw, int a, int b)
    168 {
    169     if (dw->dvi.display_enable)
    170         XDrawArc(XtDisplay(dw), XtWindow(dw), dw->dvi.normal_GC,
    171                  ToX(dw, dw->dvi.state->x), ToX(dw, dw->dvi.state->y - (b / 2)),
    172                  ToX(dw, a), ToX(dw, b), 0, 360 * 64);
    173     dw->dvi.state->x += a;
    174 }
    175 
    176 /*	Convert angle in degrees to 64ths of a degree */
    177 
    178 static int
    179 ConvertAngle(int theta)
    180 {
    181     return (theta * 64);
    182 }
    183 
    184 void
    185 DrawArc(DviWidget dw, int x0, int y0, int x1, int y1)
    186 {
    187     /* centre */
    188     int xc = dw->dvi.state->x + x0;
    189     int yc = dw->dvi.state->y + y0;
    190 
    191     /* to */
    192     int x2 = xc + x1;
    193     int y2 = yc + y1;
    194 
    195     dw->dvi.state->x = x2;
    196     dw->dvi.state->y = y2;
    197 
    198     if (dw->dvi.display_enable) {
    199         int angle1, angle2;
    200 
    201         /* radius */
    202         int r = (int) sqrt((float) x1 * x1 + (float) y1 * y1);
    203 
    204         /* start and finish angles */
    205         if (x0 == 0) {
    206             if (y0 >= 0)
    207                 angle1 = 90;
    208             else
    209                 angle1 = 270;
    210         }
    211         else {
    212             angle1 = (int) (atan((double) (y0) / (double) (x0)) * 180 / M_PI);
    213             if (x0 > 0)
    214                 angle1 = 180 - angle1;
    215             else
    216                 angle1 = -angle1;
    217         }
    218 
    219         if (x1 == 0) {
    220             if (y1 <= 0)
    221                 angle2 = 90;
    222             else
    223                 angle2 = 270;
    224         }
    225         else {
    226             angle2 = (int) (atan((double) (y1) / (double) (x1)) * 180 / M_PI);
    227             if (x1 < 0)
    228                 angle2 = 180 - angle2;
    229             else
    230                 angle2 = -angle2;
    231         }
    232 
    233         if (angle1 < 0)
    234             angle1 += 360;
    235         if (angle2 < 0)
    236             angle2 += 360;
    237 
    238         if (angle2 < angle1)
    239             angle1 -= 360;
    240         angle2 = angle2 - angle1;
    241 
    242         angle1 = ConvertAngle(angle1);
    243         angle2 = ConvertAngle(angle2);
    244 
    245         XDrawArc(XtDisplay(dw), XtWindow(dw), dw->dvi.normal_GC,
    246                  ToX(dw, xc - r), ToX(dw, yc - r),
    247                  ToX(dw, 2 * r), ToX(dw, 2 * r), angle1, angle2);
    248     }
    249 }
    250 
    251 /* copy next non-blank string from p to temp, update p */
    252 
    253 static const char *
    254 getstr(const char *p, char *temp, size_t temp_size)
    255 {
    256     while (*p == ' ' || *p == '\t' || *p == '\n')
    257         p++;
    258     if (*p == '\0') {
    259         temp[0] = 0;
    260         return ((char *) NULL);
    261     }
    262     while (*p != ' ' && *p != '\t' && *p != '\n' && *p != '\0') {
    263         /* leave room for trailing NIL byte */
    264         if (temp_size > 1) {
    265             *temp++ = *p++;
    266             temp_size--;
    267         }
    268     }
    269     *temp = '\0';
    270     return (p);
    271 }
    272 
    273 /*	Draw a spline by approximating with short lines.      */
    274 
    275 /*ARGSUSED*/
    276 void
    277 DrawSpline(DviWidget dw, const char *s, int len)
    278 {
    279     int n;
    280 
    281     /* get coordinate pairs into spline linked list */
    282     if ((n = GetSpline(s)) <= 0)
    283         return;
    284 
    285     ApproxSpline(n);
    286 
    287     DrawSplineSegments(dw);
    288 }
    289 
    290 
    291 /*	Parse string s to create a linked list of Point's with spline */
    292 /*	as its head.  Return the number of coordinate pairs found.    */
    293 
    294 static int
    295 GetSpline(const char *s)
    296 {
    297     double x, y;
    298     int n = 0;
    299     Point *pt;
    300     const char *p = s;
    301     char d[10];
    302 
    303     if (!*p)
    304         return (n);
    305 
    306     pt = spline = MakePoint(0.0, 0.0);
    307     n = 1;
    308     x = y = 0.0;
    309     p = s;
    310     while (p && *p) {
    311         double x1, y1;
    312 
    313         if ((p = getstr(p, d, sizeof(d))) == (const char *) NULL)
    314             break;
    315         x1 = x + atof(d);
    316         if ((p = getstr(p, d, sizeof(d))) == (const char *) NULL)
    317             break;
    318         y1 = y + atof(d);
    319         pt->next = MakePoint(x1, y1);
    320         pt = pt->next;
    321         x = pt->x;
    322         y = pt->y;
    323         n++;
    324     }
    325 
    326     /* number of pairs of points */
    327 
    328     return (n);
    329 }
    330 
    331 /*	Approximate a spline by lines generated by iterations of the	  */
    332 /*	approximation algorithm from the original n points in the spline. */
    333 
    334 static void
    335 ApproxSpline(int n)
    336 {
    337     int mid;
    338     Point *p1, *p2, *p3, *p;
    339 
    340     if (n < 3)
    341         return;
    342 
    343     /* number of mid-points to calculate */
    344     mid = n - 3;
    345 
    346     /* remember original points are stored as an array of n points */
    347     /* so I can index it directly to calculate mid-points only.    */
    348     if (mid > 0) {
    349         int j;
    350 
    351         p = spline->next;
    352         j = 1;
    353         while (j < n - 2) {
    354             p1 = p;
    355             p = p->next;
    356             p2 = p;
    357             InsertPoint(p1, MakePoint(midx(p1, p2), midy(p1, p2)));
    358             j++;
    359         }
    360     }
    361 
    362     /* Now approximate curve by line segments.             */
    363     /* There *should* be the correct number of points now! */
    364 
    365     p = spline;
    366     while (p != (Point *) NULL) {
    367         p1 = p;
    368         if ((p = p->next) == (Point *) NULL)
    369             break;
    370         p2 = p;
    371         if ((p = p->next) == (Point *) NULL)
    372             break;
    373         p3 = p;         /* This point becomes first point of next curve */
    374 
    375         LineApprox(p1, p2, p3);
    376     }
    377 }
    378 
    379 /*	p1, p2, and p3 are initially 3 *consecutive* points on the curve. */
    380 /*	For each adjacent pair of points find the mid-point, insert this  */
    381 /*	in the linked list, delete the first of the two used (unless it   */
    382 /*	is the first for this curve).  Repeat this ITERATIONS times.	  */
    383 
    384 /*ARGSUSED*/
    385 static void
    386 LineApprox(Point *p1, Point *p2, Point *p3)
    387 {
    388     int reps = ITERATIONS;
    389 
    390     while (reps) {
    391         for (Point *p = p1; p != (Point *) NULL && p != p3;) {
    392             Point *p4 = MakePoint(midx(p, p->next), midy(p, p->next));
    393 
    394             InsertPoint(p, p4);
    395             if (p != p1)
    396                 DeletePoint(p);
    397             p = p4->next;       /* skip inserted point! */
    398         }
    399         reps--;
    400     }
    401 }
    402 
    403 
    404 /*	Traverse the linked list, calling DrawLine to approximate the */
    405 /*	spline curve.  Rounding errors are taken into account so that */
    406 /*	the "curve" is continuous, and ends up where expected.	      */
    407 
    408 static void
    409 DrawSplineSegments(DviWidget dw)
    410 {
    411     Point *p = spline;
    412 
    413     /* save the start position */
    414     double xpos = dw->dvi.state->x;
    415     double ypos = dw->dvi.state->y;
    416 
    417     double x1 = 0.0, y1 = 0.0;
    418 
    419     while (p != (Point *) NULL) {
    420         int dx = p->x - x1 + 0.5;
    421         int dy = p->y - y1 + 0.5;
    422 
    423         DrawLine(dw, dx, dy);
    424 
    425         x1 = p->x;
    426         y1 = p->y;
    427         dw->dvi.state->x = xpos + x1;
    428         dw->dvi.state->y = ypos + y1;
    429 
    430         Point *q = p;
    431 
    432         p = p->next;
    433         XtFree((char *) q);
    434     }
    435     spline = (Point *) NULL;
    436 }
    437 
    438 /*	Malloc memory for a Point, and initialise the elements to x, y, NULL */
    439 /*	Return a pointer to the new Point.				     */
    440 
    441 static Point *
    442 MakePoint(double x, double y)
    443 {
    444     Point *p = (Point *) XtMalloc(sizeof(Point));
    445 
    446     p->x = x;
    447     p->y = y;
    448     p->next = (Point *) NULL;
    449 
    450     return (p);
    451 }
    452 
    453 /*	Insert point q in linked list after point p. */
    454 
    455 static void
    456 InsertPoint(Point *p, Point *q)
    457 {
    458     /* point q to the next point */
    459     q->next = p->next;
    460 
    461     /* point p to new inserted one */
    462     p->next = q;
    463 }
    464 
    465 /*	Delete point p from the linked list. */
    466 
    467 static void
    468 DeletePoint(Point *p)
    469 {
    470     Point *tmp = p->next;
    471 
    472     p->x = p->next->x;
    473     p->y = p->next->y;
    474     p->next = p->next->next;
    475     XtFree((char *) tmp);
    476 }
    477