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+#include "tqtglobaldefines.h"
+
+#ifdef USE_QT4
+
+/****************************************************************************
+**
+** Copyright (C) 2010 Nokia Corporation and/or its subsidiary(-ies).
+** All rights reserved.
+** Contact: Nokia Corporation (qt-info@nokia.com)
+**
+** This file is part of the Qt3Support module of the Qt Toolkit.
+**
+** $QT_BEGIN_LICENSE:LGPL$
+** Commercial Usage
+** Licensees holding valid Qt Commercial licenses may use this file in
+** accordance with the Qt Commercial License Agreement provided with the
+** Software or, alternatively, in accordance with the terms contained in
+** a written agreement between you and Nokia.
+**
+** GNU Lesser General Public License Usage
+** Alternatively, this file may be used under the terms of the GNU Lesser
+** General Public License version 2.1 as published by the Free Software
+** Foundation and appearing in the file LICENSE.LGPL included in the
+** packaging of this file. Please review the following information to
+** ensure the GNU Lesser General Public License version 2.1 requirements
+** will be met: http://www.gnu.org/licenses/old-licenses/lgpl-2.1.html.
+**
+** In addition, as a special exception, Nokia gives you certain additional
+** rights. These rights are described in the Nokia Qt LGPL Exception
+** version 1.1, included in the file LGPL_EXCEPTION.txt in this package.
+**
+** GNU General Public License Usage
+** Alternatively, this file may be used under the terms of the GNU
+** General Public License version 3.0 as published by the Free Software
+** Foundation and appearing in the file LICENSE.GPL included in the
+** packaging of this file. Please review the following information to
+** ensure the GNU General Public License version 3.0 requirements will be
+** met: http://www.gnu.org/copyleft/gpl.html.
+**
+** If you have questions regarding the use of this file, please contact
+** Nokia at qt-info@nokia.com.
+** $QT_END_LICENSE$
+**
+****************************************************************************/
+
+#include "tqpointarray.h"
+#include "private/qt4_qbezier_p.h"
+
+// Normally declared in private/qpainterpath_p.h
+void Q_GUI_EXPORT qt_find_ellipse_coords(const QRectF &r, qreal angle, qreal length, QPointF* startPoint, QPointF *endPoint);
+
+#include <Qt/qpainterpath.h>
+
+QT_BEGIN_NAMESPACE
+
+/*!
+ \class TQPointArray
+ The TQPointArray class provides an array of points.
+
+ \compat
+
+ TQPointArray is a QPolygon subclass that provides functions
+ to make it more source compatible with the \c QPointArray class
+ in Qt 3.
+
+ In Qt 4, we recommend that you use QPainterPath for representing
+ arcs, ellipses, and Bezier curves, rather than QPolygon.
+*/
+
+/*!
+ Sets the points of the array to those describing an arc of an
+ ellipse with size, width \a w by height \a h, and position (\a x,
+ \a y), starting from angle \a a1 and spanning by angle \a a2. The
+ resulting array has sufficient resolution for pixel accuracy (see
+ the overloaded function which takes an additional QMatrix
+ parameter).
+
+ Angles are specified in 16ths of a degree, i.e. a full circle
+ equals 5760 (16*360). Positive values mean counter-clockwise,
+ whereas negative values mean the clockwise direction. Zero degrees
+ is at the 3 o'clock position.
+*/
+#ifndef QT_NO_WMATRIX
+void TQPointArray::makeArc(int x, int y, int w, int h, int a1, int a2)
+{
+ QRectF r(x, y, w, h);
+ QPointF startPoint;
+ qt_find_ellipse_coords(r, a1 / 16.0, a2 / 16.0, &startPoint, 0);
+
+ QPainterPath path(startPoint);
+ path.arcTo(r, a1 / 16.0, a2 / 16.0);
+
+ if (path.isEmpty())
+ *this = TQPointArray();
+ else
+ *this = path.toSubpathPolygons().at(0).toPolygon();
+}
+#endif
+
+#ifndef QT_NO_TRANSFORMATIONS
+/*!
+ \overload
+
+ Sets the points of the array to those describing an arc of an
+ ellipse with width \a w and height \a h and position (\a x, \a y),
+ starting from angle \a a1, and spanning angle by \a a2, and
+ transformed by the matrix \a xf. The resulting array has
+ sufficient resolution for pixel accuracy.
+
+ Angles are specified in 16ths of a degree, i.e. a full circle
+ equals 5760 (16 * 360). Positive values mean counter-clockwise,
+ whereas negative values mean the clockwise direction. Zero
+ degrees is at the 3 o'clock position.
+*/
+void TQPointArray::makeArc(int x, int y, int w, int h, int a1, int a2, const QMatrix &xf)
+{
+ QRectF r(x, y, w, h);
+ QPointF startPoint;
+ qt_find_ellipse_coords(r, a1 / 16.0, a2 / 16.0, &startPoint, 0);
+
+ QPainterPath path(startPoint);
+ path.arcTo(r, a1 / 16.0, a2 / 16.0);
+ path = path * xf;
+ if (path.isEmpty())
+ *this = TQPointArray();
+ else
+ *this = path.toSubpathPolygons().at(0).toPolygon();
+}
+
+#endif // QT_NO_TRANSFORMATIONS
+
+/*!
+ \fn TQPointArray::TQPointArray()
+
+ Constructs an empty TQPointArray.
+*/
+
+/*!
+ \fn TQPointArray::TQPointArray(const QRect &r, bool closed)
+
+ Constructs a point array from the rectangle \a r.
+
+ If \a closed is false, then the point array just contains the
+ following four points of the rectangle ordered clockwise. The
+ bottom-right point is located at (r.x() + r.width(), r.y() +
+ r.height()).
+*/
+
+/*!
+ \fn TQPointArray::TQPointArray(const QPolygon& other)
+
+ Constructs a copy of \a other.
+*/
+
+/*!
+ \fn TQPointArray TQPointArray::copy() const
+
+ Returns a copy of this TQPointArray.
+*/
+
+/*!
+ \fn bool TQPointArray::isNull()
+
+ Returns isEmpty(). Use isEmpty() instead.
+*/
+
+/*!
+ Sets the points of the array to those describing an ellipse with
+ size, width \a w by height \a h, and position (\a x, \a y).
+
+ The returned array has sufficient resolution for use as pixels.
+*/
+void TQPointArray::makeEllipse(int x, int y, int w, int h)
+{
+ QPainterPath path;
+ path.addEllipse(x, y, w, h);
+ *this = path.toSubpathPolygons().at(0).toPolygon();
+}
+
+#ifndef QT_NO_BEZIER
+
+/*!
+ Returns the Bezier points for the four control points in this
+ array.
+*/
+TQPointArray TQPointArray::cubicBezier() const
+{
+ if (size() != 4) {
+ qWarning( "TQPointArray::bezier: The array must have 4 control points" );
+ return QPolygon();
+ }
+ QPolygonF polygon = QBezier::fromPoints(at(0), at(1), at(2), at(3)).toPolygon();
+ return polygon.toPolygon();
+}
+#endif //QT_NO_BEZIER
+
+QT_END_NAMESPACE
+
+#else // USE_QT4
+
+/****************************************************************************
+**
+** Implementation of TQPointArray class
+**
+** Created : 940213
+**
+** Copyright (C) 2010 Timothy Pearson and (C) 1992-2008 Trolltech ASA.
+**
+** This file is part of the kernel module of the TQt GUI Toolkit.
+**
+** This file may be used under the terms of the GNU General
+** Public License versions 2.0 or 3.0 as published by the Free
+** Software Foundation and appearing in the files LICENSE.GPL2
+** and LICENSE.GPL3 included in the packaging of this file.
+** Alternatively you may (at your option) use any later version
+** of the GNU General Public License if such license has been
+** publicly approved by Trolltech ASA (or its successors, if any)
+** and the KDE Free TQt Foundation.
+**
+** Please review the following information to ensure GNU General
+** Public Licensing requirements will be met:
+** http://trolltech.com/products/qt/licenses/licensing/opensource/.
+** If you are unsure which license is appropriate for your use, please
+** review the following information:
+** http://trolltech.com/products/qt/licenses/licensing/licensingoverview
+** or contact the sales department at sales@trolltech.com.
+**
+** This file may be used under the terms of the Q Public License as
+** defined by Trolltech ASA and appearing in the file LICENSE.TQPL
+** included in the packaging of this file. Licensees holding valid TQt
+** Commercial licenses may use this file in accordance with the TQt
+** Commercial License Agreement provided with the Software.
+**
+** This file is provided "AS IS" with NO WARRANTY OF ANY KIND,
+** INCLUDING THE WARRANTIES OF DESIGN, MERCHANTABILITY AND FITNESS FOR
+** A PARTICULAR PURPOSE. Trolltech reserves all rights not granted
+** herein.
+**
+**********************************************************************/
+
+#include "tqpointarray.h"
+#include "tqrect.h"
+#include "tqdatastream.h"
+#include "tqwmatrix.h"
+#include <stdarg.h>
+
+const double TQ_PI = 3.14159265358979323846; // pi // one more useful comment
+
+
+/*!
+ \class TQPointArray tqpointarray.h
+ \brief The TQPointArray class provides an array of points.
+
+ \ingroup images
+ \ingroup graphics
+ \ingroup shared
+
+ A TQPointArray is an array of TQPoint objects. In addition to the
+ functions provided by TQMemArray, TQPointArray provides some
+ point-specific functions.
+
+ For convenient reading and writing of the point data use
+ setPoints(), putPoints(), point(), and setPoint().
+
+ For tqgeometry operations use boundingRect() and translate(). There
+ is also the TQWMatrix::map() function for more general
+ transformations of TQPointArrays. You can also create arcs and
+ ellipses with makeArc() and makeEllipse().
+
+ Among others, TQPointArray is used by TQPainter::drawLineSegments(),
+ TQPainter::drawPolyline(), TQPainter::drawPolygon() and
+ TQPainter::drawCubicBezier().
+
+ Note that because this class is a TQMemArray, copying an array and
+ modifying the copy modifies the original as well, i.e. a shallow
+ copy. If you need a deep copy use copy() or detach(), for example:
+
+ \code
+ void drawGiraffe( const TQPointArray & r, TQPainter * p )
+ {
+ TQPointArray tmp = r;
+ tmp.detach();
+ // some code that modifies tmp
+ p->drawPoints( tmp );
+ }
+ \endcode
+
+ If you forget the tmp.detach(), the const array will be modified.
+
+ \sa TQPainter TQWMatrix TQMemArray
+*/
+
+
+/*****************************************************************************
+ TQPointArray member functions
+ *****************************************************************************/
+
+/*!
+ \fn TQPointArray::TQPointArray()
+
+ Constructs a null point array.
+
+ \sa isNull()
+*/
+
+/*!
+ \fn TQPointArray::TQPointArray( int size )
+
+ Constructs a point array with room for \a size points. Makes a
+ null array if \a size == 0.
+
+ \sa resize(), isNull()
+*/
+
+/*!
+ \fn TQPointArray::TQPointArray( const TQPointArray &a )
+
+ Constructs a shallow copy of the point array \a a.
+
+ \sa copy() detach()
+*/
+
+/*!
+ Constructs a point array from the rectangle \a r.
+
+ If \a closed is FALSE, then the point array just tqcontains the
+ following four points in the listed order: r.topLeft(),
+ r.topRight(), r.bottomRight() and r.bottomLeft().
+
+ If \a closed is TRUE, then a fifth point is set to r.topLeft().
+*/
+
+TQPointArray::TQPointArray( const TQRect &r, bool closed )
+{
+ setPoints( 4, r.left(), r.top(),
+ r.right(), r.top(),
+ r.right(), r.bottom(),
+ r.left(), r.bottom() );
+ if ( closed ) {
+ resize( 5 );
+ setPoint( 4, r.left(), r.top() );
+ }
+}
+
+/*!
+ \internal
+ Constructs a point array with \a nPoints points, taken from the
+ \a points array.
+
+ Equivalent to setPoints(nPoints, points).
+*/
+
+TQPointArray::TQPointArray( int nPoints, const TQCOORD *points )
+{
+ setPoints( nPoints, points );
+}
+
+
+/*!
+ \fn TQPointArray::~TQPointArray()
+
+ Destroys the point array.
+*/
+
+
+/*!
+ \fn TQPointArray &TQPointArray::operator=( const TQPointArray &a )
+
+ Assigns a shallow copy of \a a to this point array and returns a
+ reference to this point array.
+
+ Equivalent to assign(a).
+
+ \sa copy() detach()
+*/
+
+/*!
+ \fn TQPointArray TQPointArray::copy() const
+
+ Creates a deep copy of the array.
+
+ \sa detach()
+*/
+
+
+
+/*!
+ Translates all points in the array by \a (dx, dy).
+*/
+
+void TQPointArray::translate( int dx, int dy )
+{
+ register TQPoint *p = data();
+ register int i = size();
+ TQPoint pt( dx, dy );
+ while ( i-- ) {
+ *p += pt;
+ p++;
+ }
+}
+
+
+/*!
+ Reads the coordinates of the point at position \a index within the
+ array and writes them into \a *x and \a *y.
+*/
+
+void TQPointArray::point( uint index, int *x, int *y ) const
+{
+ TQPoint p = TQMemArray<TQPoint>::at( index );
+ if ( x )
+ *x = (int)p.x();
+ if ( y )
+ *y = (int)p.y();
+}
+
+/*!
+ \overload
+
+ Returns the point at position \a index within the array.
+*/
+
+TQPoint TQPointArray::point( uint index ) const
+{ // #### index out of bounds
+ return TQMemArray<TQPoint>::at( index );
+}
+
+/*!
+ \fn void TQPointArray::setPoint( uint i, const TQPoint &p )
+
+ \overload
+
+ Sets the point at array index \a i to \a p.
+*/
+
+/*!
+ Sets the point at position \a index in the array to \a (x, y).
+*/
+
+void TQPointArray::setPoint( uint index, int x, int y )
+{ // #### index out of bounds
+ TQMemArray<TQPoint>::at( index ) = TQPoint( x, y );
+}
+
+/*!
+ \internal
+ Resizes the array to \a nPoints and sets the points in the array to
+ the values taken from \a points.
+
+ Returns TRUE if successful, or FALSE if the array could not be
+ resized (normally due to lack of memory).
+
+ The example code creates an array with two points (1,2) and (3,4):
+ \code
+ static TQCOORD points[] = { 1,2, 3,4 };
+ TQPointArray a;
+ a.setPoints( 2, points );
+ \endcode
+
+ \sa resize(), putPoints()
+*/
+
+bool TQPointArray::setPoints( int nPoints, const TQCOORD *points )
+{
+ if ( !resize(nPoints) )
+ return FALSE;
+ int i = 0;
+ while ( nPoints-- ) { // make array of points
+ setPoint( i++, *points, *(points+1) );
+ points++;
+ points++;
+ }
+ return TRUE;
+}
+
+/*!
+ \overload
+
+ Resizes the array to \a nPoints and sets the points in the array
+ to the values taken from the variable argument list.
+
+ Returns TRUE if successful, or FALSE if the array could not be
+ resized (typically due to lack of memory).
+
+ The example code creates an array with two points (1,2) and (3,4):
+
+ \code
+ TQPointArray a;
+ a.setPoints( 2, 1,2, 3,4 );
+ \endcode
+
+ The points are given as a sequence of integers, starting with \a
+ firstx then \a firsty, and so on.
+
+ \sa resize(), putPoints()
+*/
+
+bool TQPointArray::setPoints( int nPoints, int firstx, int firsty, ... )
+{
+ va_list ap;
+ if ( !resize(nPoints) )
+ return FALSE;
+ setPoint( 0, firstx, firsty ); // set first point
+ int i = 1, x, y;
+ nPoints--;
+ va_start( ap, firsty );
+ while ( nPoints-- ) {
+ x = va_arg( ap, int );
+ y = va_arg( ap, int );
+ setPoint( i++, x, y );
+ }
+ va_end( ap );
+ return TRUE;
+}
+
+/*! \overload
+ \internal
+ Copies \a nPoints points from the \a points coord array into
+ this point array, and resizes the point array if
+ \c{index+nPoints} exceeds the size of the array.
+
+ Returns TRUE if successful, or FALSE if the array could not be
+ resized (typically due to lack of memory).
+
+*/
+
+bool TQPointArray::putPoints( int index, int nPoints, const TQCOORD *points )
+{
+ if ( index + nPoints > (int)size() ) { // extend array
+ if ( !resize( index + nPoints ) )
+ return FALSE;
+ }
+ int i = index;
+ while ( nPoints-- ) { // make array of points
+ setPoint( i++, *points, *(points+1) );
+ points++;
+ points++;
+ }
+ return TRUE;
+}
+
+/*!
+ Copies \a nPoints points from the variable argument list into this
+ point array from position \a index, and resizes the point array if
+ \c{index+nPoints} exceeds the size of the array.
+
+ Returns TRUE if successful, or FALSE if the array could not be
+ resized (typically due to lack of memory).
+
+ The example code creates an array with three points (4,5), (6,7)
+ and (8,9), by expanding the array from 1 to 3 points:
+
+ \code
+ TQPointArray a( 1 );
+ a[0] = TQPoint( 4, 5 );
+ a.putPoints( 1, 2, 6,7, 8,9 ); // index == 1, points == 2
+ \endcode
+
+ This has the same result, but here putPoints overwrites rather
+ than extends:
+ \code
+ TQPointArray a( 3 );
+ a.putPoints( 0, 3, 4,5, 0,0, 8,9 );
+ a.putPoints( 1, 1, 6,7 );
+ \endcode
+
+ The points are given as a sequence of integers, starting with \a
+ firstx then \a firsty, and so on.
+
+ \sa resize()
+*/
+
+bool TQPointArray::putPoints( int index, int nPoints, int firstx, int firsty,
+ ... )
+{
+ va_list ap;
+ if ( index + nPoints > (int)size() ) { // extend array
+ if ( !resize(index + nPoints) )
+ return FALSE;
+ }
+ if ( nPoints <= 0 )
+ return TRUE;
+ setPoint( index, firstx, firsty ); // set first point
+ int i = index + 1, x, y;
+ nPoints--;
+ va_start( ap, firsty );
+ while ( nPoints-- ) {
+ x = va_arg( ap, int );
+ y = va_arg( ap, int );
+ setPoint( i++, x, y );
+ }
+ va_end( ap );
+ return TRUE;
+}
+
+
+/*!
+ \overload
+
+ This version of the function copies \a nPoints from \a from into
+ this array, starting at \a index in this array and \a fromIndex in
+ \a from. \a fromIndex is 0 by default.
+
+ \code
+ TQPointArray a;
+ a.putPoints( 0, 3, 1,2, 0,0, 5,6 );
+ // a is now the three-point array ( 1,2, 0,0, 5,6 );
+ TQPointArray b;
+ b.putPoints( 0, 3, 4,4, 5,5, 6,6 );
+ // b is now ( 4,4, 5,5, 6,6 );
+ a.putPoints( 2, 3, b );
+ // a is now ( 1,2, 0,0, 4,4, 5,5, 6,6 );
+ \endcode
+*/
+
+bool TQPointArray::putPoints( int index, int nPoints,
+ const TQPointArray & from, int fromIndex )
+{
+ if ( index + nPoints > (int)size() ) { // extend array
+ if ( !resize(index + nPoints) )
+ return FALSE;
+ }
+ if ( nPoints <= 0 )
+ return TRUE;
+ int n = 0;
+ while( n < nPoints ) {
+ setPoint( index+n, from[fromIndex+n] );
+ n++;
+ }
+ return TRUE;
+}
+
+
+/*!
+ Returns the bounding rectangle of the points in the array, or
+ TQRect(0,0,0,0) if the array is empty.
+*/
+
+TQRect TQPointArray::boundingRect() const
+{
+ if ( isEmpty() )
+ return TQRect( 0, 0, 0, 0 ); // null rectangle
+ register TQPoint *pd = data();
+ int minx, maxx, miny, maxy;
+ minx = maxx = pd->x();
+ miny = maxy = pd->y();
+ pd++;
+ for ( int i=1; i<(int)size(); i++ ) { // tqfind min+max x and y
+ if ( pd->x() < minx )
+ minx = pd->x();
+ else if ( pd->x() > maxx )
+ maxx = pd->x();
+ if ( pd->y() < miny )
+ miny = pd->y();
+ else if ( pd->y() > maxy )
+ maxy = pd->y();
+ pd++;
+ }
+ return TQRect( TQPoint(minx,miny), TQPoint(maxx,maxy) );
+}
+
+
+static inline int fix_angle( int a )
+{
+ if ( a > 16*360 )
+ a %= 16*360;
+ else if ( a < -16*360 ) {
+ a = -( (-a) % (16*360) );
+ }
+ return a;
+}
+
+/*!
+ Sets the points of the array to those describing an arc of an
+ ellipse with size, width \a w by height \a h, and position (\a x,
+ \a y), starting from angle \a a1 and spanning by angle \a a2. The
+ resulting array has sufficient resolution for pixel accuracy (see
+ the overloaded function which takes an additional TQWMatrix
+ parameter).
+
+ Angles are specified in 16ths of a degree, i.e. a full circle
+ equals 5760 (16*360). Positive values mean counter-clockwise,
+ whereas negative values mean the clockwise direction. Zero degrees
+ is at the 3 o'clock position.
+
+ See the \link qcanvasellipse.html#anglediagram angle diagram\endlink.
+*/
+
+void TQPointArray::makeArc( int x, int y, int w, int h, int a1, int a2 )
+{
+#if !defined(TQT_OLD_MAKEELLIPSE) && !defined(TQT_NO_TRANSFORMATIONS)
+ TQWMatrix unit;
+ makeArc(x,y,w,h,a1,a2,unit);
+#else
+ a1 = fix_angle( a1 );
+ if ( a1 < 0 )
+ a1 += 16*360;
+ a2 = fix_angle( a2 );
+ int a3 = a2 > 0 ? a2 : -a2; // abs angle
+ makeEllipse( x, y, w, h );
+ int npts = a3*size()/(16*360); // # points in arc array
+ TQPointArray a(npts);
+ int i = a1*size()/(16*360);
+ int j = 0;
+ if ( a2 > 0 ) {
+ while ( npts-- ) {
+ if ( i >= (int)size() ) // wrap index
+ i = 0;
+ a.TQMemArray<TQPoint>::at( j++ ) = TQMemArray<TQPoint>::at( i++ );
+ }
+ } else {
+ while ( npts-- ) {
+ if ( i < 0 ) // wrap index
+ i = (int)size()-1;
+ a.TQMemArray<TQPoint>::at( j++ ) = TQMemArray<TQPoint>::at( i-- );
+ }
+ }
+ *this = a;
+ return;
+#endif
+}
+
+#ifndef TQT_NO_TRANSFORMATIONS
+// Based upon:
+// parelarc.c from Graphics Gems III
+// VanAken / Simar, "A Parametric Elliptical Arc Algorithm"
+//
+static void
+qtr_elips(TQPointArray& a, int off, double dxP, double dyP, double dxQ, double dyQ, double dxK, double dyK, int m)
+{
+#define PIV2 102944 /* fixed point PI/2 */
+#define TWOPI 411775 /* fixed point 2*PI */
+#define HALF 32768 /* fixed point 1/2 */
+
+ int xP, yP, xQ, yQ, xK, yK;
+ xP = int(dxP * 65536.0); yP = int(dyP * 65536.0);
+ xQ = int(dxQ * 65536.0); yQ = int(dyQ * 65536.0);
+ xK = int(dxK * 65536.0); yK = int(dyK * 65536.0);
+
+ int i;
+ int vx, ux, vy, uy, xJ, yJ;
+
+ vx = xK - xQ; /* displacements from center */
+ ux = xK - xP;
+ vy = yK - yQ;
+ uy = yK - yP;
+ xJ = xP - vx + HALF; /* center of ellipse J */
+ yJ = yP - vy + HALF;
+
+ int r;
+ ux -= (r = ux >> (2*m + 3)); /* cancel 2nd-order error */
+ ux -= (r >>= (2*m + 4)); /* cancel 4th-order error */
+ ux -= r >> (2*m + 3); /* cancel 6th-order error */
+ ux += vx >> (m + 1); /* cancel 1st-order error */
+ uy -= (r = uy >> (2*m + 3)); /* cancel 2nd-order error */
+ uy -= (r >>= (2*m + 4)); /* cancel 4th-order error */
+ uy -= r >> (2*m + 3); /* cancel 6th-order error */
+ uy += vy >> (m + 1); /* cancel 1st-order error */
+
+ const int qn = a.size()/4;
+ for (i = 0; i < qn; i++) {
+ a[off+i] = TQPoint((xJ + vx) >> 16, (yJ + vy) >> 16);
+ ux -= vx >> m;
+ vx += ux >> m;
+ uy -= vy >> m;
+ vy += uy >> m;
+ }
+
+#undef PIV2
+#undef TWOPI
+#undef HALF
+}
+
+
+/*!
+ \overload
+
+ Sets the points of the array to those describing an arc of an
+ ellipse with width \a w and height \a h and position (\a x, \a y),
+ starting from angle \a a1, and spanning angle by \a a2, and
+ transformed by the matrix \a xf. The resulting array has
+ sufficient resolution for pixel accuracy.
+
+ Angles are specified in 16ths of a degree, i.e. a full circle
+ equals 5760 (16*360). Positive values mean counter-clockwise,
+ whereas negative values mean the clockwise direction. Zero degrees
+ is at the 3 o'clock position.
+
+ See the \link qcanvasellipse.html#anglediagram angle diagram\endlink.
+*/
+void TQPointArray::makeArc( int x, int y, int w, int h,
+ int a1, int a2,
+ const TQWMatrix& xf )
+{
+#define PIV2 102944 /* fixed point PI/2 */
+ if ( --w < 0 || --h < 0 || !a2 ) {
+ resize( 0 );
+ return;
+ }
+
+ bool rev = a2 < 0;
+ if ( rev ) {
+ a1 += a2;
+ a2 = -a2;
+ }
+ a1 = fix_angle( a1 );
+ if ( a1 < 0 )
+ a1 += 16*360;
+ a2 = fix_angle( a2 );
+
+ bool arc = a1 != 0 || a2 != 360*16 || rev;
+
+ double xP, yP, xQ, yQ, xK, yK;
+
+ xf.map(x+w, y+h/2.0, &xP, &yP);
+ xf.map(x+w/2.0, y, &xQ, &yQ);
+ xf.map(x+w, y, &xK, &yK);
+
+ int m = 3;
+ int max;
+ int q = int(TQMAX(TQABS(xP-xQ),TQABS(yP-yQ)));
+ if ( arc )
+ q *= 2;
+ do {
+ m++;
+ max = 4*(1 + (PIV2 >> (16 - m)) );
+ } while (max < q && m < 16); // 16 limits memory usage on HUGE arcs
+
+ double inc = 1.0/(1<<m);
+
+ const int qn = (PIV2 >> (16 - m));
+ resize(qn*4);
+
+ qtr_elips(*this, 0, xP, yP, xQ, yQ, xK, yK, m);
+ xP = xQ; yP = yQ;
+ xf.map(x, y+h/2.0, &xQ, &yQ);
+ xf.map(x, y, &xK, &yK);
+ qtr_elips(*this, qn, xP, yP, xQ, yQ, xK, yK, m);
+ xP = xQ; yP = yQ;
+ xf.map(x+w/2.0, y+h, &xQ, &yQ);
+ xf.map(x, y+h, &xK, &yK);
+ qtr_elips(*this, qn*2, xP, yP, xQ, yQ, xK, yK, m);
+ xP = xQ; yP = yQ;
+ xf.map(x+w, y+h/2.0, &xQ, &yQ);
+ xf.map(x+w, y+h, &xK, &yK);
+ qtr_elips(*this, qn*3, xP, yP, xQ, yQ, xK, yK, m);
+
+ int n = size();
+
+ if ( arc ) {
+ double da1 = double(a1)*TQ_PI / (360*8);
+ double da3 = double(a2+a1)*TQ_PI / (360*8);
+ int i = int(da1/inc+0.5);
+ int l = int(da3/inc+0.5);
+ int k = (l-i)+1;
+ TQPointArray r(k);
+ int j = 0;
+
+ if ( rev ) {
+ while ( k-- )
+ r[j++] = at((i+k)%n);
+ } else {
+ while ( j < k ) {
+ r[j] = at((i+j)%n);
+ j++;
+ }
+ }
+ *this = r;
+ }
+#undef PIV2
+}
+
+#endif // TQT_NO_TRANSFORMATIONS
+
+/*!
+ Sets the points of the array to those describing an ellipse with
+ size, width \a w by height \a h, and position (\a x, \a y).
+
+ The returned array has sufficient resolution for use as pixels.
+*/
+void TQPointArray::makeEllipse( int x, int y, int w, int h )
+{ // midpoint, 1/4 ellipse
+#if !defined(TQT_OLD_MAKEELLIPSE) && !defined(TQT_NO_TRANSFORMATIONS)
+ TQWMatrix unit;
+ makeArc(x,y,w,h,0,360*16,unit);
+ return;
+#else
+ if ( w <= 0 || h <= 0 ) {
+ if ( w == 0 || h == 0 ) {
+ resize( 0 );
+ return;
+ }
+ if ( w < 0 ) { // negative width
+ w = -w;
+ x -= w;
+ }
+ if ( h < 0 ) { // negative height
+ h = -h;
+ y -= h;
+ }
+ }
+ int s = (w+h+2)/2; // max size of xx,yy array
+ int *px = new int[s]; // 1/4th of ellipse
+ int *py = new int[s];
+ int xx, yy, i=0;
+ double d1, d2;
+ double a2=(w/2)*(w/2), b2=(h/2)*(h/2);
+ xx = 0;
+ yy = int(h/2);
+ d1 = b2 - a2*(h/2) + 0.25*a2;
+ px[i] = xx;
+ py[i] = yy;
+ i++;
+ while ( a2*(yy-0.5) > b2*(xx+0.5) ) { // region 1
+ if ( d1 < 0 ) {
+ d1 = d1 + b2*(3.0+2*xx);
+ xx++;
+ } else {
+ d1 = d1 + b2*(3.0+2*xx) + 2.0*a2*(1-yy);
+ xx++;
+ yy--;
+ }
+ px[i] = xx;
+ py[i] = yy;
+ i++;
+ }
+ d2 = b2*(xx+0.5)*(xx+0.5) + a2*(yy-1)*(yy-1) - a2*b2;
+ while ( yy > 0 ) { // region 2
+ if ( d2 < 0 ) {
+ d2 = d2 + 2.0*b2*(xx+1) + a2*(3-2*yy);
+ xx++;
+ yy--;
+ } else {
+ d2 = d2 + a2*(3-2*yy);
+ yy--;
+ }
+ px[i] = xx;
+ py[i] = yy;
+ i++;
+ }
+ s = i;
+ resize( 4*s ); // make full point array
+ x += w/2;
+ y += h/2;
+ for ( i=0; i<s; i++ ) { // mirror
+ xx = px[i];
+ yy = py[i];
+ setPoint( s-i-1, x+xx, y-yy );
+ setPoint( s+i, x-xx, y-yy );
+ setPoint( 3*s-i-1, x-xx, y+yy );
+ setPoint( 3*s+i, x+xx, y+yy );
+ }
+ delete[] px;
+ delete[] py;
+#endif
+}
+
+#ifndef TQT_NO_BEZIER
+// Work functions for TQPointArray::cubicBezier()
+static
+void split(const double *p, double *l, double *r)
+{
+ double tmpx;
+ double tmpy;
+
+ l[0] = p[0];
+ l[1] = p[1];
+ r[6] = p[6];
+ r[7] = p[7];
+
+ l[2] = (p[0]+ p[2])/2;
+ l[3] = (p[1]+ p[3])/2;
+ tmpx = (p[2]+ p[4])/2;
+ tmpy = (p[3]+ p[5])/2;
+ r[4] = (p[4]+ p[6])/2;
+ r[5] = (p[5]+ p[7])/2;
+
+ l[4] = (l[2]+ tmpx)/2;
+ l[5] = (l[3]+ tmpy)/2;
+ r[2] = (tmpx + r[4])/2;
+ r[3] = (tmpy + r[5])/2;
+
+ l[6] = (l[4]+ r[2])/2;
+ l[7] = (l[5]+ r[3])/2;
+ r[0] = l[6];
+ r[1] = l[7];
+}
+
+// Based on:
+//
+// A Fast 2D Point-On-Line Test
+// by Alan Paeth
+// from "Graphics Gems", Academic Press, 1990
+static
+int pnt_on_line( const int* p, const int* q, const int* t )
+{
+/*
+ * given a line through P:(px,py) Q:(qx,qy) and T:(tx,ty)
+ * return 0 if T is not on the line through <--P--Q-->
+ * 1 if T is on the open ray ending at P: <--P
+ * 2 if T is on the closed interior along: P--Q
+ * 3 if T is on the open ray beginning at Q: Q-->
+ *
+ * Example: consider the line P = (3,2), Q = (17,7). A plot
+ * of the test points T(x,y) (with 0 mapped onto '.') yields:
+ *
+ * 8| . . . . . . . . . . . . . . . . . 3 3
+ * Y 7| . . . . . . . . . . . . . . 2 2 Q 3 3 Q = 2
+ * 6| . . . . . . . . . . . 2 2 2 2 2 . . .
+ * a 5| . . . . . . . . 2 2 2 2 2 2 . . . . .
+ * x 4| . . . . . 2 2 2 2 2 2 . . . . . . . .
+ * i 3| . . . 2 2 2 2 2 . . . . . . . . . . .
+ * s 2| 1 1 P 2 2 . . . . . . . . . . . . . . P = 2
+ * 1| 1 1 . . . . . . . . . . . . . . . . .
+ * +--------------------------------------
+ * 1 2 3 4 5 X-axis 10 15 19
+ *
+ * Point-Line distance is normalized with the Infinity Norm
+ * avoiding square-root code and tightening the test vs the
+ * Manhattan Norm. All math is done on the field of integers.
+ * The latter tqreplaces the initial ">= MAX(...)" test with
+ * "> (ABS(qx-px) + ABS(qy-py))" loosening both inequality
+ * and norm, yielding a broader target line for selection.
+ * The tightest test is employed here for best discrimination
+ * in merging collinear (to grid coordinates) vertex chains
+ * into a larger, spanning vectors within the Lemming editor.
+ */
+
+ // if all points are coincident, return condition 2 (on line)
+ if(q[0]==p[0] && q[1]==p[1] && q[0]==t[0] && q[1]==t[1]) {
+ return 2;
+ }
+
+ if ( TQABS((q[1]-p[1])*(t[0]-p[0])-(t[1]-p[1])*(q[0]-p[0])) >=
+ (TQMAX(TQABS(q[0]-p[0]), TQABS(q[1]-p[1])))) return 0;
+
+ if (((q[0]<p[0])&&(p[0]<t[0])) || ((q[1]<p[1])&&(p[1]<t[1])))
+ return 1 ;
+ if (((t[0]<p[0])&&(p[0]<q[0])) || ((t[1]<p[1])&&(p[1]<q[1])))
+ return 1 ;
+ if (((p[0]<q[0])&&(q[0]<t[0])) || ((p[1]<q[1])&&(q[1]<t[1])))
+ return 3 ;
+ if (((t[0]<q[0])&&(q[0]<p[0])) || ((t[1]<q[1])&&(q[1]<p[1])))
+ return 3 ;
+
+ return 2 ;
+}
+static
+void polygonizeTQBezier( double* acc, int& accsize, const double ctrl[],
+ int maxsize )
+{
+ if ( accsize > maxsize / 2 )
+ {
+ // This never happens in practice.
+
+ if ( accsize >= maxsize-4 )
+ return;
+ // Running out of space - approximate by a line.
+ acc[accsize++] = ctrl[0];
+ acc[accsize++] = ctrl[1];
+ acc[accsize++] = ctrl[6];
+ acc[accsize++] = ctrl[7];
+ return;
+ }
+
+ //intersects:
+ double l[8];
+ double r[8];
+ split( ctrl, l, r);
+
+ // convert to integers for line condition check
+ int c0[2]; c0[0] = int(ctrl[0]); c0[1] = int(ctrl[1]);
+ int c1[2]; c1[0] = int(ctrl[2]); c1[1] = int(ctrl[3]);
+ int c2[2]; c2[0] = int(ctrl[4]); c2[1] = int(ctrl[5]);
+ int c3[2]; c3[0] = int(ctrl[6]); c3[1] = int(ctrl[7]);
+
+ // #### Duplication needed?
+ if ( TQABS(c1[0]-c0[0]) <= 1 && TQABS(c1[1]-c0[1]) <= 1
+ && TQABS(c2[0]-c0[0]) <= 1 && TQABS(c2[1]-c0[1]) <= 1
+ && TQABS(c3[0]-c1[0]) <= 1 && TQABS(c3[1]-c0[1]) <= 1 )
+ {
+ // Approximate by one line.
+ // Dont need to write last pt as it is the same as first pt
+ // on the next segment
+ acc[accsize++] = l[0];
+ acc[accsize++] = l[1];
+ return;
+ }
+
+ if ( ( pnt_on_line( c0, c3, c1 ) == 2 && pnt_on_line( c0, c3, c2 ) == 2 )
+ || ( TQABS(c1[0]-c0[0]) <= 1 && TQABS(c1[1]-c0[1]) <= 1
+ && TQABS(c2[0]-c0[0]) <= 1 && TQABS(c2[1]-c0[1]) <= 1
+ && TQABS(c3[0]-c1[0]) <= 1 && TQABS(c3[1]-c0[1]) <= 1 ) )
+ {
+ // Approximate by one line.
+ // Dont need to write last pt as it is the same as first pt
+ // on the next segment
+ acc[accsize++] = l[0];
+ acc[accsize++] = l[1];
+ return;
+ }
+
+ // Too big and too curved - recusively subdivide.
+ polygonizeTQBezier( acc, accsize, l, maxsize );
+ polygonizeTQBezier( acc, accsize, r, maxsize );
+}
+
+/*!
+ Returns the Bezier points for the four control points in this
+ array.
+*/
+
+TQPointArray TQPointArray::cubicBezier() const
+{
+#ifdef USE_SIMPLE_TQBEZIER_CODE
+ if ( size() != 4 ) {
+#if defined(TQT_CHECK_RANGE)
+ qWarning( "TQPointArray::bezier: The array must have 4 control points" );
+#endif
+ TQPointArray p;
+ return p;
+ }
+
+ int v;
+ float xvec[4];
+ float yvec[4];
+ for ( v=0; v<4; v++ ) { // store all x,y in xvec,yvec
+ int x, y;
+ point( v, &x, &y );
+ xvec[v] = (float)x;
+ yvec[v] = (float)y;
+ }
+
+ TQRect r = boundingRect();
+ int m = TQMAX(r.width(),r.height())/2;
+ m = TQMIN(m,30); // m = number of result points
+ if ( m < 2 ) // at least two points
+ m = 2;
+ TQPointArray p( m ); // p = Bezier point array
+ register TQPointData *pd = p.data();
+
+ float x0 = xvec[0], y0 = yvec[0];
+ float dt = 1.0F/m;
+ float cx = 3.0F * (xvec[1] - x0);
+ float bx = 3.0F * (xvec[2] - xvec[1]) - cx;
+ float ax = xvec[3] - (x0 + cx + bx);
+ float cy = 3.0F * (yvec[1] - y0);
+ float by = 3.0F * (yvec[2] - yvec[1]) - cy;
+ float ay = yvec[3] - (y0 + cy + by);
+ float t = dt;
+
+ pd->rx() = (TQCOORD)xvec[0];
+ pd->ry() = (TQCOORD)yvec[0];
+ pd++;
+ m -= 2;
+
+ while ( m-- ) {
+ pd->rx() = (TQCOORD)tqRound( ((ax * t + bx) * t + cx) * t + x0 );
+ pd->ry() = (TQCOORD)tqRound( ((ay * t + by) * t + cy) * t + y0 );
+ pd++;
+ t += dt;
+ }
+
+ pd->rx() = (TQCOORD)xvec[3];
+ pd->ry() = (TQCOORD)yvec[3];
+
+ return p;
+#else
+
+ if ( size() != 4 ) {
+#if defined(TQT_CHECK_RANGE)
+ qWarning( "TQPointArray::bezier: The array must have 4 control points" );
+#endif
+ TQPointArray pa;
+ return pa;
+ } else {
+ TQRect r = boundingRect();
+ int m = 4+2*TQMAX(r.width(),r.height());
+ double *p = new double[m];
+ double ctrl[8];
+ int i;
+ for (i=0; i<4; i++) {
+ ctrl[i*2] = at(i).x();
+ ctrl[i*2+1] = at(i).y();
+ }
+ int len=0;
+ polygonizeTQBezier( p, len, ctrl, m );
+ TQPointArray pa((len/2)+1); // one extra point for last point on line
+ int j=0;
+ for (i=0; j<len; i++) {
+ int x = tqRound(p[j++]);
+ int y = tqRound(p[j++]);
+ pa[i] = TQPoint(x,y);
+ }
+ // add last pt on the line, which will be at the last control pt
+ pa[(int)pa.size()-1] = at(3);
+ delete[] p;
+
+ return pa;
+ }
+
+#endif
+}
+#endif //TQT_NO_BEZIER
+
+/*****************************************************************************
+ TQPointArray stream functions
+ *****************************************************************************/
+#ifndef TQT_NO_DATASTREAM
+/*!
+ \relates TQPointArray
+
+ Writes the point array, \a a to the stream \a s and returns a
+ reference to the stream.
+
+ \sa \link datastreamformat.html Format of the TQDataStream operators \endlink
+*/
+
+TQDataStream &operator<<( TQDataStream &s, const TQPointArray &a )
+{
+ register uint i;
+ uint len = a.size();
+ s << len; // write size of array
+ for ( i=0; i<len; i++ ) // write each point
+ s << a.point( i );
+ return s;
+}
+
+/*!
+ \relates TQPointArray
+
+ Reads a point array, \a a from the stream \a s and returns a
+ reference to the stream.
+
+ \sa \link datastreamformat.html Format of the TQDataStream operators \endlink
+*/
+
+TQDataStream &operator>>( TQDataStream &s, TQPointArray &a )
+{
+ register uint i;
+ uint len;
+ s >> len; // read size of array
+ if ( !a.resize( len ) ) // no memory
+ return s;
+ TQPoint p;
+ for ( i=0; i<len; i++ ) { // read each point
+ s >> p;
+ a.setPoint( i, p );
+ }
+ return s;
+}
+#endif //TQT_NO_DATASTREAM
+
+
+
+struct TQShortPoint { // Binary compatible with XPoint
+ short x, y;
+};
+
+uint TQPointArray::splen = 0;
+void* TQPointArray::sp = 0; // Really a TQShortPoint*
+
+/*!
+ \internal
+
+ Converts the point coords to short (16bit) size, compatible with
+ X11's XPoint structure. The pointer returned points to a static
+ array, so its contents will be overwritten the next time this
+ function is called.
+*/
+
+void* TQPointArray::shortPoints( int index, int nPoints ) const
+{
+
+ if ( isNull() || !nPoints )
+ return 0;
+ TQPoint* p = data();
+ p += index;
+ uint i = nPoints < 0 ? size() : nPoints;
+ if ( splen < i ) {
+ if ( sp )
+ delete[] ((TQShortPoint*)sp);
+ sp = new TQShortPoint[i];
+ splen = i;
+ }
+ TQShortPoint* ps = (TQShortPoint*)sp;
+ while ( i-- ) {
+ ps->x = (short)p->x();
+ ps->y = (short)p->y();
+ p++;
+ ps++;
+ }
+ return sp;
+}
+
+
+/*!
+ \internal
+
+ Deallocates the internal buffer used by shortPoints().
+*/
+
+void TQPointArray::cleanBuffers()
+{
+ if ( sp )
+ delete[] ((TQShortPoint*)sp);
+ sp = 0;
+ splen = 0;
+}
+
+#endif // USE_QT4 \ No newline at end of file