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/*
* Smithsonian Astrophysical Observatory, Cambridge, MA, USA
* This code has been modified under the terms listed below and is made
* available under the same terms.
*/
/*
* Copyright 1993-2004 George A Howlett.
*
* Permission is hereby granted, free of charge, to any person obtaining
* a copy of this software and associated documentation files (the
* "Software"), to deal in the Software without restriction, including
* without limitation the rights to use, copy, modify, merge, publish,
* distribute, sublicense, and/or sell copies of the Software, and to
* permit persons to whom the Software is furnished to do so, subject to
* the following conditions:
*
* The above copyright notice and this permission notice shall be
* included in all copies or substantial portions of the Software.
*
* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
* EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF
* MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND
* NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE
* LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION
* OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION
* WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.
*/
#include <limits.h>
#include <float.h>
#include <string.h>
#include <stdlib.h>
#include <cmath>
#include <tk.h>
#include <tkInt.h>
#include "tkbltGraph.h"
#include "tkbltGrMisc.h"
using namespace Blt;
char* Blt::dupstr(const char* str)
{
char* copy =NULL;
if (str) {
copy=new char[strlen(str)+1];
strcpy(copy,str);
}
return copy;
}
int Blt::pointInPolygon(Point2d *s, Point2d *points, int nPoints)
{
int count = 0;
for (Point2d *p=points, *q=p+1, *qend=p + nPoints; q < qend; p++, q++) {
if (((p->y <= s->y) && (s->y < q->y)) ||
((q->y <= s->y) && (s->y < p->y))) {
double b;
b = (q->x - p->x) * (s->y - p->y) / (q->y - p->y) + p->x;
if (s->x < b) {
count++; /* Count the number of intersections. */
}
}
}
return (count & 0x01);
}
static int ClipTest (double ds, double dr, double *t1, double *t2)
{
double t;
if (ds < 0.0) {
t = dr / ds;
if (t > *t2) {
return 0;
}
if (t > *t1) {
*t1 = t;
}
} else if (ds > 0.0) {
t = dr / ds;
if (t < *t1) {
return 0;
}
if (t < *t2) {
*t2 = t;
}
} else {
/* d = 0, so line is parallel to this clipping edge */
if (dr < 0.0) { /* Line is outside clipping edge */
return 0;
}
}
return 1;
}
/*
*---------------------------------------------------------------------------
* Clips the given line segment to a rectangular region. The coordinates
* of the clipped line segment are returned. The original coordinates
* are overwritten.
*
* Reference:
* Liang, Y-D., and B. Barsky, A new concept and method for
* Line Clipping, ACM, TOG,3(1), 1984, pp.1-22.
*---------------------------------------------------------------------------
*/
int Blt::lineRectClip(Region2d* regionPtr, Point2d *p, Point2d *q)
{
double t1, t2;
double dx, dy;
t1 = 0.0, t2 = 1.0;
dx = q->x - p->x;
if ((ClipTest (-dx, p->x - regionPtr->left, &t1, &t2)) &&
(ClipTest (dx, regionPtr->right - p->x, &t1, &t2))) {
dy = q->y - p->y;
if ((ClipTest (-dy, p->y - regionPtr->top, &t1, &t2)) &&
(ClipTest (dy, regionPtr->bottom - p->y, &t1, &t2))) {
if (t2 < 1.0) {
q->x = p->x + t2 * dx;
q->y = p->y + t2 * dy;
}
if (t1 > 0.0) {
p->x += t1 * dx;
p->y += t1 * dy;
}
return 1;
}
}
return 0;
}
/*
*---------------------------------------------------------------------------
* Clips the given polygon to a rectangular region. The resulting
* polygon is returned. Note that the resulting polyon may be complex,
* connected by zero width/height segments. The drawing routine (such as
* XFillPolygon) will not draw a connecting segment.
*
* Reference:
* Liang Y. D. and Brian A. Barsky, "Analysis and Algorithm for
* Polygon Clipping", Communications of ACM, Vol. 26,
* p.868-877, 1983
*---------------------------------------------------------------------------
*/
#define AddVertex(vx, vy) r->x=(vx), r->y=(vy), r++, count++
#define LastVertex(vx, vy) r->x=(vx), r->y=(vy), count++
int Blt::polyRectClip(Region2d *regionPtr, Point2d *points, int nPoints,
Point2d *clipPts)
{
Point2d* r = clipPts;
// Counts # of vertices in output polygon.
int count = 0;
points[nPoints] = points[0];
for (Point2d *p=points, *q=p+1, *pend=p+nPoints; p<pend; p++, q++) {
double dx, dy;
double tin1, tin2, tinx, tiny;
double xin, yin, xout, yout;
dx = q->x - p->x; /* X-direction */
dy = q->y - p->y; /* Y-direction */
if (fabs(dx) < FLT_EPSILON)
dx = (p->x > regionPtr->left) ? -FLT_EPSILON : FLT_EPSILON ;
if (fabs(dy) < FLT_EPSILON)
dy = (p->y > regionPtr->top) ? -FLT_EPSILON : FLT_EPSILON ;
if (dx > 0.0) { /* Left */
xin = regionPtr->left;
xout = regionPtr->right + 1.0;
}
else { /* Right */
xin = regionPtr->right + 1.0;
xout = regionPtr->left;
}
if (dy > 0.0) { /* Top */
yin = regionPtr->top;
yout = regionPtr->bottom + 1.0;
}
else { /* Bottom */
yin = regionPtr->bottom + 1.0;
yout = regionPtr->top;
}
tinx = (xin - p->x) / dx;
tiny = (yin - p->y) / dy;
if (tinx < tiny) { /* Hits x first */
tin1 = tinx;
tin2 = tiny;
}
else { /* Hits y first */
tin1 = tiny;
tin2 = tinx;
}
if (tin1 <= 1.0) {
if (tin1 > 0.0) {
AddVertex(xin, yin);
}
if (tin2 <= 1.0) {
double toutx = (xout - p->x) / dx;
double touty = (yout - p->y) / dy;
double tout1 = MIN(toutx, touty);
if ((tin2 > 0.0) || (tout1 > 0.0)) {
if (tin2 <= tout1) {
if (tin2 > 0.0) {
if (tinx > tiny) {
AddVertex(xin, p->y + tinx * dy);
} else {
AddVertex(p->x + tiny * dx, yin);
}
}
if (tout1 < 1.0) {
if (toutx < touty) {
AddVertex(xout, p->y + toutx * dy);
} else {
AddVertex(p->x + touty * dx, yout);
}
} else {
AddVertex(q->x, q->y);
}
} else {
if (tinx > tiny) {
AddVertex(xin, yout);
} else {
AddVertex(xout, yin);
}
}
}
}
}
}
if (count > 0) {
LastVertex(clipPts[0].x, clipPts[0].y);
}
return count;
}
/*
*---------------------------------------------------------------------------
* Computes the projection of a point on a line. The line (given by two
* points), is assumed the be infinite.
*
* Compute the slope (angle) of the line and rotate it 90 degrees. Using
* the slope-intercept method (we know the second line from the sample
* test point and the computed slope), then find the intersection of both
* lines. This will be the projection of the sample point on the first
* line.
*---------------------------------------------------------------------------
*/
Point2d Blt::getProjection(int x, int y, Point2d *p, Point2d *q)
{
double dx = p->x - q->x;
double dy = p->y - q->y;
/* Test for horizontal and vertical lines */
Point2d t;
if (fabs(dx) < DBL_EPSILON) {
t.x = p->x;
t.y = (double)y;
}
else if (fabs(dy) < DBL_EPSILON) {
t.x = (double)x;
t.y = p->y;
}
else {
/* Compute the slope and intercept of PQ. */
double m1 = (dy / dx);
double b1 = p->y - (p->x * m1);
/*
* Compute the slope and intercept of a second line segment: one that
* intersects through sample X-Y coordinate with a slope perpendicular
* to original line.
*/
/* Find midpoint of PQ. */
double midX = (p->x + q->x) * 0.5;
double midY = (p->y + q->y) * 0.5;
/* Rotate the line 90 degrees */
double ax = midX - (0.5 * dy);
double ay = midY - (0.5 * -dx);
double bx = midX + (0.5 * dy);
double by = midY + (0.5 * -dx);
double m2 = (ay - by) / (ax - bx);
double b2 = y - (x * m2);
/*
* Given the equations of two lines which contain the same point,
*
* y = m1 * x + b1
* y = m2 * x + b2
*
* solve for the intersection.
*
* x = (b2 - b1) / (m1 - m2)
* y = m1 * x + b1
*
*/
t.x = (b2 - b1) / (m1 - m2);
t.y = m1 * t.x + b1;
}
return t;
}
Graph* Blt::getGraphFromWindowData(Tk_Window tkwin)
{
while (tkwin) {
TkWindow* winPtr = (TkWindow*)tkwin;
if (winPtr->instanceData != NULL) {
Graph* graphPtr = (Graph*)winPtr->instanceData;
if (graphPtr)
return graphPtr;
}
tkwin = Tk_Parent(tkwin);
}
return NULL;
}
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