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- /*
- * TransFig: Facility for Translating Fig code
- * Copyright (c) 1985 Supoj Sutantavibul
- * Copyright (c) 1991 Micah Beck
- *
- * 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. The authors make no representations about the suitability
- * of this software for any purpose. It is provided "as is" without express
- * or implied warranty.
- *
- * THE AUTHORS DISCLAIM ALL WARRANTIES WITH REGARD TO THIS SOFTWARE,
- * INCLUDING ALL IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS, IN NO
- * EVENT SHALL THE AUTHORS 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.
- *
- */
-
- #include <stdio.h>
- #include <math.h>
- #include "pi.h"
- #include "object.h"
-
- #define Ninety_deg M_PI_2
- #define One_eighty_deg M_PI
- #define Two_seventy_deg (M_PI + M_PI_2)
- #define Three_sixty_deg (M_PI + M_PI)
- #define round(x) ((int) ((x) + ((x >= 0)? 0.5: -0.5)))
- #define half(z1 ,z2) ((z1+z2)/2.0)
- #define max(a, b) (((a) > (b)) ? (a) : (b))
- #define min(a, b) (((a) < (b)) ? (a) : (b))
-
- arc_bound(arc, xmin, ymin, xmax, ymax)
- F_arc *arc;
- int *xmin, *ymin, *xmax, *ymax;
- {
- double alpha, beta;
- double dx, dy, radius;
- int bx, by, sx, sy;
-
- dx = arc->point[0].x - arc->center.x;
- dy = arc->center.y - arc->point[0].y;
- alpha = atan2(dy, dx);
- if (alpha < 0.0) alpha += Three_sixty_deg;
- /* compute_angle returns value between 0 to 2PI */
-
- radius = hypot(dx, dy);
-
- dx = arc->point[2].x - arc->center.x;
- dy = arc->center.y - arc->point[2].y;
- beta = atan2(dy, dx);
- if (beta < 0.0) beta += Three_sixty_deg;
-
- bx = max(arc->point[0].x, arc->point[1].x);
- bx = max(arc->point[2].x, bx);
- by = max(arc->point[0].y, arc->point[1].y);
- by = max(arc->point[2].y, by);
- sx = min(arc->point[0].x, arc->point[1].x);
- sx = min(arc->point[2].x, sx);
- sy = min(arc->point[0].y, arc->point[1].y);
- sy = min(arc->point[2].y, sy);
-
- if (arc->direction == 1) { /* counter clockwise */
- if (alpha > beta) {
- if (alpha <= 0 || 0 <= beta)
- bx = (int)(arc->center.x + radius + 1.0);
- if (alpha <= Ninety_deg || Ninety_deg <= beta)
- sy = (int)(arc->center.y - radius - 1.0);
- if (alpha <= One_eighty_deg || One_eighty_deg <= beta)
- sx = (int)(arc->center.x - radius - 1.0);
- if (alpha <= Two_seventy_deg || Two_seventy_deg <= beta)
- by = (int)(arc->center.y + radius + 1.0);
- }
- else {
- if (0 <= beta && alpha <= 0)
- bx = (int)(arc->center.x + radius + 1.0);
- if (Ninety_deg <= beta && alpha <= Ninety_deg)
- sy = (int)(arc->center.y - radius - 1.0);
- if (One_eighty_deg <= beta && alpha <= One_eighty_deg)
- sx = (int)(arc->center.x - radius - 1.0);
- if (Two_seventy_deg <= beta && alpha <= Two_seventy_deg)
- by = (int)(arc->center.y + radius + 1.0);
- }
- }
- else { /* clockwise */
- if (alpha > beta) {
- if (beta <= 0 && 0 <= alpha)
- bx = (int)(arc->center.x + radius + 1.0);
- if (beta <= Ninety_deg && Ninety_deg <= alpha)
- sy = (int)(arc->center.y - radius - 1.0);
- if (beta <= One_eighty_deg && One_eighty_deg <= alpha)
- sx = (int)(arc->center.x - radius - 1.0);
- if (beta <= Two_seventy_deg && Two_seventy_deg <= alpha)
- by = (int)(arc->center.y + radius + 1.0);
- }
- else {
- if (0 <= alpha || beta <= 0)
- bx = (int)(arc->center.x + radius + 1.0);
- if (Ninety_deg <= alpha || beta <= Ninety_deg)
- sy = (int)(arc->center.y - radius - 1.0);
- if (One_eighty_deg <= alpha || beta <= One_eighty_deg)
- sx = (int)(arc->center.x - radius - 1.0);
- if (Two_seventy_deg <= alpha || beta <= Two_seventy_deg)
- by = (int)(arc->center.y + radius + 1.0);
- }
- }
- *xmax = bx; *ymax = by;
- *xmin = sx; *ymin = sy;
- }
-
- compound_bound(compound, xmin, ymin, xmax, ymax, include)
- F_compound *compound;
- int *xmin, *ymin, *xmax, *ymax;
- int include;
- {
- F_arc *a;
- F_ellipse *e;
- F_compound *c;
- F_spline *s;
- F_line *l;
- F_text *t;
- int bx, by, sx, sy, first = 1;
- int llx, lly, urx, ury;
-
- while(compound != NULL)
- {
- for (a = compound->arcs; a != NULL; a = a->next) {
- arc_bound(a, &sx, &sy, &bx, &by);
- if (first) {
- first = 0;
- llx = sx; lly = sy;
- urx = bx; ury = by;
- }
- else {
- llx = min(llx, sx); lly = min(lly, sy);
- urx = max(urx, bx); ury = max(ury, by);
- }
- }
-
- for (c = compound->compounds; c != NULL; c = c->next) {
- compound_bound(c, &sx, &sy, &bx, &by);
- if (first) {
- first = 0;
- llx = sx; lly = sy;
- urx = bx; ury = by;
- }
- else {
- llx = min(llx, sx); lly = min(lly, sy);
- urx = max(urx, bx); ury = max(ury, by);
- }
- }
-
- for (e = compound->ellipses; e != NULL; e = e->next) {
- ellipse_bound(e, &sx, &sy, &bx, &by);
- if (first) {
- first = 0;
- llx = sx; lly = sy;
- urx = bx; ury = by;
- }
- else {
- llx = min(llx, sx); lly = min(lly, sy);
- urx = max(urx, bx); ury = max(ury, by);
- }
- }
-
- for (l = compound->lines; l != NULL; l = l->next) {
- line_bound(l, &sx, &sy, &bx, &by);
- if (first) {
- first = 0;
- llx = sx; lly = sy;
- urx = bx; ury = by;
- }
- else {
- llx = min(llx, sx); lly = min(lly, sy);
- urx = max(urx, bx); ury = max(ury, by);
- }
- }
-
- for (s = compound->splines; s != NULL; s = s->next) {
- spline_bound(s, &sx, &sy, &bx, &by);
- if (first) {
- first = 0;
- llx = sx; lly = sy;
- urx = bx; ury = by;
- }
- else {
- llx = min(llx, sx); lly = min(lly, sy);
- urx = max(urx, bx); ury = max(ury, by);
- }
- }
-
- for (t = compound->texts; t != NULL; t = t->next) {
- text_bound(t, &sx, &sy, &bx, &by, include);
- if (first) {
- first = 0;
- llx = sx; lly = sy;
- urx = bx; ury = by;
- }
- else {
- llx = min(llx, sx); lly = min(lly, sy);
- urx = max(urx, bx); ury = max(ury, by);
- }
- }
- compound = compound->next;
- }
-
- *xmin = llx; *ymin = lly;
- *xmax = urx; *ymax = ury;
- }
-
- ellipse_bound(e, xmin, ymin, xmax, ymax)
- F_ellipse *e;
- int *xmin, *ymin, *xmax, *ymax;
- {
- *xmin = e->center.x - e->radiuses.x;
- *ymin = e->center.y - e->radiuses.y;
- *xmax = e->center.x + e->radiuses.x;
- *ymax = e->center.y + e->radiuses.y;
- }
-
- line_bound(l, xmin, ymin, xmax, ymax)
- F_line *l;
- int *xmin, *ymin, *xmax, *ymax;
- {
- points_bound(l->points, xmin, ymin, xmax, ymax);
- }
-
- spline_bound(s, xmin, ymin, xmax, ymax)
- F_spline *s;
- int *xmin, *ymin, *xmax, *ymax;
- {
- if (int_spline(s)) {
- int_spline_bound(s, xmin, ymin, xmax, ymax);
- }
- else {
- normal_spline_bound(s, xmin, ymin, xmax, ymax);
- }
- }
-
- int_spline_bound(s, xmin, ymin, xmax, ymax)
- F_spline *s;
- int *xmin, *ymin, *xmax, *ymax;
- {
- F_point *p1, *p2;
- F_control *cp1, *cp2;
- double x0, y0, x1, y1, x2, y2, x3, y3, sx1, sy1, sx2, sy2;
- double tx, ty, tx1, ty1, tx2, ty2;
- double sx, sy, bx, by;
-
- p1 = s->points;
- sx = bx = p1->x;
- sy = by = p1->y;
- cp1 = s->controls;
- for (p2 = p1->next, cp2 = cp1->next; p2 != NULL;
- p1 = p2, cp1 = cp2, p2 = p2->next, cp2 = cp2->next) {
- x0 = p1->x; y0 = p1->y;
- x1 = cp1->rx; y1 = cp1->ry;
- x2 = cp2->lx; y2 = cp2->ly;
- x3 = p2->x; y3 = p2->y;
- tx = half(x1, x2); ty = half(y1, y2);
- sx1 = half(x0, x1); sy1 = half(y0, y1);
- sx2 = half(sx1, tx); sy2 = half(sy1, ty);
- tx2 = half(x2, x3); ty2 = half(y2, y3);
- tx1 = half(tx2, tx); ty1 = half(ty2, ty);
-
- sx = min(x0, sx); sy = min(y0, sy);
- sx = min(sx1, sx); sy = min(sy1, sy);
- sx = min(sx2, sx); sy = min(sy2, sy);
- sx = min(tx1, sx); sy = min(ty1, sy);
- sx = min(tx2, sx); sy = min(ty2, sy);
- sx = min(x3, sx); sy = min(y3, sy);
-
- bx = max(x0, bx); by = max(y0, by);
- bx = max(sx1, bx); by = max(sy1, by);
- bx = max(sx2, bx); by = max(sy2, by);
- bx = max(tx1, bx); by = max(ty1, by);
- bx = max(tx2, bx); by = max(ty2, by);
- bx = max(x3, bx); by = max(y3, by);
- }
- *xmin = round(sx);
- *ymin = round(sy);
- *xmax = round(bx);
- *ymax = round(by);
- }
-
- normal_spline_bound(s, xmin, ymin, xmax, ymax)
- F_spline *s;
- int *xmin, *ymin, *xmax, *ymax;
- {
- F_point *p;
- double cx1, cy1, cx2, cy2, cx3, cy3, cx4, cy4;
- double x1, y1, x2, y2, sx, sy, bx, by;
- double px, py, qx, qy;
-
- p = s->points;
- x1 = p->x; y1 = p->y;
- p = p->next;
- x2 = p->x; y2 = p->y;
- cx1 = (x1 + x2) / 2.0; cy1 = (y1 + y2) / 2.0;
- cx2 = (cx1 + x2) / 2.0; cy2 = (cy1 + y2) / 2.0;
- if (closed_spline(s)) {
- x1 = (cx1 + x1) / 2.0;
- y1 = (cy1 + y1) / 2.0;
- }
- sx = min(x1, cx2); sy = min(y1, cy2);
- bx = max(x1, cx2); by = max(y1, cy2);
-
- for (p = p->next; p != NULL; p = p->next) {
- x1 = x2; y1 = y2;
- x2 = p->x; y2 = p->y;
- cx4 = (x1 + x2) / 2.0; cy4 = (y1 + y2) / 2.0;
- cx3 = (x1 + cx4) / 2.0; cy3 = (y1 + cy4) / 2.0;
- cx2 = (cx4 + x2) / 2.0; cy2 = (cy4 + y2) / 2.0;
-
- px = min(cx2, cx3); py = min(cy2, cy3);
- qx = max(cx2, cx3); qy = max(cy2, cy3);
-
- sx = min(sx, px); sy = min(sy, py);
- bx = max(bx, qx); by = max(by, qy);
- }
- if (closed_spline(s)) {
- *xmin = round(sx); *ymin = round(sy);
- *xmax = round(bx); *ymax = round(by);
- }
- else {
- *xmin = round(min(sx, x2)); *ymin = round(min(sy, y2));
- *xmax = round(max(bx, x2)); *ymax = round(max(by, y2));
- }
- }
-
- double rot_x(x,y,angle)
- double x,y,angle;
- {
- return(x*cos(-angle)-y*sin(-angle));
- }
-
- double rot_y(x,y,angle)
- double x,y,angle;
- {
- return(x*sin(-angle)+y*cos(-angle));
- }
-
-
- text_bound(t, xmin, ymin, xmax, ymax, include)
- F_text *t;
- int *xmin, *ymin, *xmax, *ymax;
- int include;
- {
- double dx1, dx2, dx3, dx4, dy1, dy2, dy3, dy4;
-
- if (t->type == T_CENTER_JUSTIFIED) {
- dx1 = (t->length/2); dy1 = 0.0;
- dx2 = -(t->length/2); dy2 = 0.0;
- dx3 = (t->length/2); dy3 = -t->height;
- dx4 = -(t->length/2); dy4 = -t->height;
- } else if (t->type == T_RIGHT_JUSTIFIED) {
- dx1 = 0.0; dy1 = 0.0;
- dx2 = -t->length; dy2 = 0.0;
- dx3 = 0.0; dy3 = -t->height;
- dx4 = -t->length; dy4 = -t->height;
- } else {
- dx1 = (include ? t->length : 0); dy1 = 0.0;
- dx2 = 0.0; dy2 = 0.0;
- dx3 = (include ? t->length : 0); dy3 = -t->height;
- dx4 = 0.0; dy4 = -t->height;
- }
- *xmax= t->base_x +
- max( max( rot_x(dx1,dy1,t->angle), rot_x(dx2,dy2,t->angle) ),
- max( rot_x(dx3,dy3,t->angle), rot_x(dx4,dy4,t->angle) ) );
- *ymax= t->base_y +
- max( max( rot_y(dx1,dy1,t->angle), rot_y(dx2,dy2,t->angle) ),
- max( rot_y(dx3,dy3,t->angle), rot_y(dx4,dy4,t->angle) ) );
-
- *xmin= t->base_x +
- min( min( rot_x(dx1,dy1,t->angle), rot_x(dx2,dy2,t->angle) ),
- min( rot_x(dx3,dy3,t->angle), rot_x(dx4,dy4,t->angle) ) );
- *ymin= t->base_y +
- min( min( rot_y(dx1,dy1,t->angle), rot_y(dx2,dy2,t->angle) ),
- min( rot_y(dx3,dy3,t->angle), rot_y(dx4,dy4,t->angle) ) );
- }
-
- points_bound(points, xmin, ymin, xmax, ymax)
- F_point *points;
- int *xmin, *ymin, *xmax, *ymax;
- {
- int bx, by, sx, sy;
- F_point *p;
-
- bx = sx = points->x; by = sy = points->y;
- for (p = points->next; p != NULL; p = p->next) {
- sx = min(sx, p->x); sy = min(sy, p->y);
- bx = max(bx, p->x); by = max(by, p->y);
- }
- *xmin = sx; *ymin = sy;
- *xmax = bx; *ymax = by;
- }
-
- control_points_bound(cps, xmin, ymin, xmax, ymax)
- F_control *cps;
- int *xmin, *ymin, *xmax, *ymax;
- {
- F_control *c;
- double bx, by, sx, sy;
-
- bx = sx = cps->lx;
- by = sy = cps->ly;
- sx = min(sx, cps->rx); sy = min(sy, cps->ry);
- bx = max(bx, cps->rx); by = max(by, cps->ry);
- for (c = cps->next; c != NULL; c = c->next) {
- sx = min(sx, c->lx); sy = min(sy, c->ly);
- bx = max(bx, c->lx); by = max(by, c->ly);
- sx = min(sx, c->rx); sy = min(sy, c->ry);
- bx = max(bx, c->rx); by = max(by, c->ry);
- }
- *xmin = round(sx); *ymin = round(sy);
- *xmax = round(bx); *ymax = round(by);
- }
-