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Diffstat (limited to 'kig/misc/coordinate_system.cpp')
| -rw-r--r-- | kig/misc/coordinate_system.cpp | 720 |
1 files changed, 720 insertions, 0 deletions
diff --git a/kig/misc/coordinate_system.cpp b/kig/misc/coordinate_system.cpp new file mode 100644 index 00000000..dd5181c2 --- /dev/null +++ b/kig/misc/coordinate_system.cpp @@ -0,0 +1,720 @@ +/** + This file is part of Kig, a KDE program for Interactive Geometry... + Copyright (C) 2002 Dominique Devriese <devriese@kde.org> + + This program is free software; you can redistribute it and/or modify + it under the terms of the GNU General Public License as published by + the Free Software Foundation; either version 2 of the License, or + (at your option) any later version. + + This program is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the + GNU General Public License for more details. + + You should have received a copy of the GNU General Public License + along with this program; if not, write to the Free Software + Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 + USA +**/ + +#include "coordinate_system.h" + +#include "../kig/kig_document.h" +#include "../kig/kig_view.h" + +#include "common.h" +#include "coordinate.h" +#include "goniometry.h" +#include "kigpainter.h" + +#include <qpainter.h> +#include <qregexp.h> + +#include <kdebug.h> +#include <kglobal.h> +#include <klocale.h> +#include <knumvalidator.h> + +#include <string> +#include <math.h> + +class CoordinateValidator + : public QValidator +{ + bool mpolar; +#ifdef KIG_USE_KDOUBLEVALIDATOR + KDoubleValidator mdv; +#else + KFloatValidator mdv; +#endif + mutable QRegExp mre; +public: + CoordinateValidator( bool polar ); + ~CoordinateValidator(); + State validate ( QString & input, int & pos ) const; + void fixup ( QString & input ) const; +}; + + +CoordinateValidator::CoordinateValidator( bool polar ) + : QValidator( 0, 0 ), mpolar( polar ), mdv( 0, 0 ), + mre( polar ? "\\(? ?([0-9.,+-]+); ?([0-9.,+-]+) ?°? ?\\)?" + : "\\(? ?([0-9.,+-]+); ?([0-9.,+-]+) ?\\)?" ) +{ +} + +CoordinateValidator::~CoordinateValidator() +{ +} + +QValidator::State CoordinateValidator::validate( QString & input, int & pos ) const +{ + QString tinput = input; + if ( tinput[tinput.length() - 1 ] == ')' ) tinput.truncate( tinput.length() - 1 ); + if ( mpolar ) + { + if ( tinput[tinput.length() - 1 ] == ' ' ) tinput.truncate( tinput.length() - 1 ); + if ( tinput[tinput.length() - 1 ] == '°' ) tinput.truncate( tinput.length() - 1 ); + }; + if( tinput[tinput.length() - 1 ] == ' ' ) tinput.truncate( tinput.length() - 1 ); + if ( tinput[0] == '(' ) tinput = tinput.mid( 1 ); + if( tinput[0] == ' ' ) tinput = tinput.mid( 1 ); + int scp = tinput.find( ';' ); + if ( scp == -1 ) return mdv.validate( tinput, pos ) == Invalid ? Invalid : Valid; + else + { + QString p1 = tinput.left( scp ); + QString p2 = tinput.mid( scp + 1 ); + + State ret = Acceptable; + + int boguspos = 0; + ret = kigMin( ret, mdv.validate( p1, boguspos ) ); + + boguspos = 0; + ret = kigMin( ret, mdv.validate( p2, boguspos ) ); + + return ret; + }; +} + +void CoordinateValidator::fixup( QString & input ) const +{ + int nsc = input.contains( ';' ); + if ( nsc > 1 ) + { + // where is the second ';' + int i = input.find( ';' ); + i = input.find( ';', i ); + input = input.left( i ); + }; + // now the string has at most one semicolon left.. + int sc = input.find( ';' ); + if ( sc == -1 ) + { + sc = input.length(); + KLocale* l = KGlobal::locale(); + if ( mpolar ) + input.append( QString::fromLatin1( ";" ) + l->positiveSign() + + QString::fromLatin1( "0°" ) ); + else + input.append( QString::fromLatin1( ";" ) + l->positiveSign() + + QString::fromLatin1( "0" ) + l->decimalSymbol() + + QString::fromLatin1( "0" ) ); + }; + mre.exactMatch( input ); + QString ds1 = mre.cap( 1 ); + mdv.fixup( ds1 ); + QString ds2 = mre.cap( 2 ); + mdv.fixup( ds2 ); + input = ds1 + QString::fromLatin1( "; " ) + ds2; +} + +EuclideanCoords::EuclideanCoords() +{ +} + +QString EuclideanCoords::fromScreen( const Coordinate& p, const KigDocument& d ) const +{ + // i used to use the widget size here, but that's no good idea, + // since an object isn't asked to recalc every time the widget size + // changes.. might be a good idea to do that, but well, maybe some + // other time :) + Rect sr = d.suggestedRect(); + double m = kigMax( sr.width(), sr.height() ); + int l = kigMax( 0, (int) ( 3 - log10( m ) ) ); + QString xs = KGlobal::locale()->formatNumber( p.x, l ); + QString ys = KGlobal::locale()->formatNumber( p.y, l ); + return QString::fromLatin1( "( %1; %2 )" ).arg( xs ).arg( ys ); +} + +Coordinate EuclideanCoords::toScreen(const QString& s, bool& ok) const +{ + QRegExp r( "\\(? ?([0-9.,+-]+); ?([0-9.,+-]+) ?\\)?" ); + ok = ( r.search(s) == 0 ); + if (ok) + { + QString xs = r.cap(1); + QString ys = r.cap(2); + KLocale* l = KGlobal::locale(); + double x = l->readNumber( xs, &ok ); + if ( ! ok ) x = xs.toDouble( &ok ); + if ( ! ok ) return Coordinate(); + double y = l->readNumber( ys, &ok ); + if ( ! ok ) y = ys.toDouble( &ok ); + if ( ! ok ) return Coordinate(); + return Coordinate( x, y ); + } + return Coordinate(); +} + +/** + * copied and adapted from a ( public domain ) function i found in the + * first Graphics Gems book. Credits to Paul S. Heckbert, who wrote + * the "Nice number for graph labels" gem. + * find a "nice" number approximately equal to x. We look for + * 1, 2 or 5, multiplied by a power of 10. + */ +static double nicenum( double x, bool round ) +{ + int exp = (int) log10( x ); + double f = x/pow( 10., exp ); + double nf; + if ( round ) + { + if ( f < 1.5 ) nf = 1.; + else if ( f < 3. ) nf = 2.; + else if ( f < 7. ) nf = 5.; + else nf = 10.; + } + else + { + if ( f <= 1. ) nf = 1.; + else if ( f <= 2. ) nf = 2.; + else if ( f <= 5. ) nf = 5.; + else nf = 10.; + }; + return nf * pow( 10., exp ); +} + +void EuclideanCoords::drawGrid( KigPainter& p, bool showgrid, bool showaxes ) const +{ + p.setWholeWinOverlay(); + + // this instruction in not necessary, but there is a little + // optimization when there are no grid and no axes. + if ( !( showgrid || showaxes ) ) + return; + + // this function is inspired upon ( public domain ) code from the + // first Graphics Gems book. Credits to Paul S. Heckbert, who wrote + // the "Nice number for graph labels" gem. + + const double hmax = ceil( p.window().right() ); + const double hmin = floor( p.window().left() ); + const double vmax = ceil( p.window().top() ); + const double vmin = floor( p.window().bottom() ); + + // the number of intervals we would like to have: + // we try to have one of them per 40 pixels or so.. + const int ntick = static_cast<int>( + kigMax( hmax - hmin, vmax - vmin ) / p.pixelWidth() / 40. ) + 1; + + double hrange = nicenum( hmax - hmin, false ); + double vrange = nicenum( vmax - vmin, false ); + const double newrange = kigMin( hrange, vrange ); + hrange = newrange; + vrange = newrange; + + const double hd = nicenum( hrange / ( ntick - 1 ), true ); + const double vd = nicenum( vrange / ( ntick - 1 ), true ); + + const double hgraphmin = ceil( hmin / hd) * hd; + const double hgraphmax = floor( hmax / hd ) * hd; + const double vgraphmin = ceil( vmin / vd ) * vd; + const double vgraphmax = floor( vmax / vd ) * vd; + + const int hnfrac = kigMax( (int) - floor( log10( hd ) ), 0 ); + const int vnfrac = kigMax( (int) - floor( log10( vd ) ), 0 ); + + /****** the grid lines ******/ + if ( showgrid ) + { + p.setPen( QPen( lightGray, 0, DotLine ) ); + // vertical lines... + for ( double i = hgraphmin; i <= hgraphmax + hd/2; i += hd ) + p.drawSegment( Coordinate( i, vgraphmin ), + Coordinate( i, vgraphmax ) ); + // horizontal lines... + for ( double i = vgraphmin; i <= vgraphmax + vd/2; i += vd ) + p.drawSegment( Coordinate( hgraphmin, i ), + Coordinate( hgraphmax, i ) ); + } + + /****** the axes ******/ + if ( showaxes ) + { + p.setPen( QPen( Qt::gray, 1, Qt::SolidLine ) ); + // x axis + p.drawSegment( Coordinate( hmin, 0 ), Coordinate( hmax, 0 ) ); + // y axis + p.drawSegment( Coordinate( 0, vmin ), Coordinate( 0, vmax ) ); + + /****** the numbers ******/ + + // x axis + for( double i = hgraphmin; i <= hgraphmax + hd / 2; i += hd ) + { + // we skip 0 since that would look stupid... (the axes going + // through the 0 etc. ) + if( fabs( i ) < 1e-8 ) continue; + + p.drawText( + Rect( Coordinate( i, 0 ), hd, -2*vd ).normalized(), + KGlobal::locale()->formatNumber( i, hnfrac ), + AlignLeft | AlignTop + ); + }; + // y axis... + for ( double i = vgraphmin; i <= vgraphmax + vd/2; i += vd ) + { + if( fabs( i ) < 1e-8 ) continue; + p.drawText ( Rect( Coordinate( 0, i ), 2*hd, vd ).normalized(), + KGlobal::locale()->formatNumber( i, vnfrac ), + AlignBottom | AlignLeft + ); + }; + // arrows on the ends of the axes... + p.setPen( QPen( Qt::gray, 1, Qt::SolidLine ) ); + p.setBrush( QBrush( Qt::gray ) ); + std::vector<Coordinate> a; + + // the arrow on the right end of the X axis... + a.reserve( 3 ); + double u = p.pixelWidth(); + a.push_back( Coordinate( hmax - 6 * u, -3 * u) ); + a.push_back( Coordinate( hmax, 0 ) ); + a.push_back( Coordinate( hmax - 6 * u, 3 * u ) ); + p.drawArea( a ); +// p.drawPolygon( a, true ); + + // the arrow on the top end of the Y axis... + a.clear(); + a.reserve( 3 ); + a.push_back( Coordinate( 3 * u, vmax - 6 * u ) ); + a.push_back( Coordinate( 0, vmax ) ); + a.push_back( Coordinate( -3 * u, vmax - 6 * u ) ); + p.drawArea( a ); +// p.drawPolygon( a, true ); + }; // if( showaxes ) +} + +QString EuclideanCoords::coordinateFormatNotice() const +{ + return i18n( "Enter coordinates in the following format: \"x;y\",\n" + "where x is the x coordinate, and y is the y coordinate." ); +} + +QString EuclideanCoords::coordinateFormatNoticeMarkup() const +{ + return i18n( "Enter coordinates in the following format: <b>\"x;y\"</b>, " + "where x is the x coordinate, and y is the y coordinate." ); +} + +EuclideanCoords::~EuclideanCoords() +{ +} + +CoordinateSystem::~CoordinateSystem() +{ +} + +CoordinateSystem::CoordinateSystem() +{ +} + +PolarCoords::PolarCoords() +{ +} + +PolarCoords::~PolarCoords() +{ +} + +QString PolarCoords::fromScreen( const Coordinate& pt, const KigDocument& d ) const +{ + Rect sr = d.suggestedRect(); + double m = kigMax( sr.width(), sr.height() ); + int l = kigMax( 0, (int) ( 3 - log10( m ) ) ); + + double r = pt.length(); + double theta = Goniometry::convert( atan2( pt.y, pt.x ), Goniometry::Rad, Goniometry::Deg ); + + QString rs = KGlobal::locale()->formatNumber( r, l ); + QString ts = KGlobal::locale()->formatNumber( theta, 0 ); + + return QString::fromLatin1("( %1; %2° )").arg( rs ).arg( ts ); +} + +QString PolarCoords::coordinateFormatNotice() const +{ + // \xCE\xB8 is utf8 for the greek theta sign.. + return i18n( "Enter coordinates in the following format: \"r; \xCE\xB8°\",\n" + "where r and \xCE\xB8 are the polar coordinates." ); +} + +QString PolarCoords::coordinateFormatNoticeMarkup() const +{ + // \xCE\xB8 is utf8 for the greek theta sign.. + return i18n( "Enter coordinates in the following format: <b>\"r; \xCE\xB8°\"</b>, " + "where r and \xCE\xB8 are the polar coordinates." ); +} + +Coordinate PolarCoords::toScreen(const QString& s, bool& ok) const +{ + QRegExp regexp("\\(? ?([0-9.,+-]+); ?([0-9.,+-]+) ?°? ?\\)?" ); + ok = ( regexp.search( s ) == 0 ); + if (ok) + { + QString rs = regexp.cap( 1 ); + double r = KGlobal::locale()->readNumber( rs, &ok ); + if ( ! ok ) r = rs.toDouble( &ok ); + if ( ! ok ) return Coordinate(); + QString ts = regexp.cap( 2 ); + double theta = KGlobal::locale()->readNumber( ts, &ok ); + if ( ! ok ) theta = ts.toDouble( &ok ); + if ( ! ok ) return Coordinate(); + theta *= M_PI; + theta /= 180; + return Coordinate( cos( theta ) * r, sin( theta ) * r ); + } + else return Coordinate(); +} + +void PolarCoords::drawGrid( KigPainter& p, bool showgrid, bool showaxes ) const +{ + p.setWholeWinOverlay(); + + // this instruction in not necessary, but there is a little + // optimization when there are no grid and no axes. + if ( !( showgrid || showaxes ) ) + return; + + // we multiply by sqrt( 2 ) cause we don't want to miss circles in + // the corners, that intersect with the axes outside of the + // screen.. + + const double hmax = M_SQRT2*p.window().right(); + const double hmin = M_SQRT2*p.window().left(); + const double vmax = M_SQRT2*p.window().top(); + const double vmin = M_SQRT2*p.window().bottom(); + + // the intervals: + // we try to have one of them per 40 pixels or so.. + const int ntick = static_cast<int>( + kigMax( hmax - hmin, vmax - vmin ) / p.pixelWidth() / 40 ) + 1; + + const double hrange = nicenum( hmax - hmin, false ); + const double vrange = nicenum( vmax - vmin, false ); + + const double hd = nicenum( hrange / ( ntick - 1 ), true ); + const double vd = nicenum( vrange / ( ntick - 1 ), true ); + + const double hgraphmin = floor( hmin / hd) * hd; + const double hgraphmax = ceil( hmax / hd ) * hd; + const double vgraphmin = floor( vmin / vd ) * vd; + const double vgraphmax = ceil( vmax / vd ) * vd; + + const int hnfrac = kigMax( (int) - floor( log10( hd ) ), 0 ); + const int vnfrac = kigMax( (int) - floor( log10( vd ) ), 0 ); + const int nfrac = kigMax( hnfrac, vnfrac ); + + /****** the grid lines ******/ + if ( showgrid ) + { + double d = kigMin( hd, vd ); + double begin = kigMin( kigAbs( hgraphmin ), kigAbs( vgraphmin ) ); + if ( kigSgn( hgraphmin ) != kigSgn( hgraphmax ) && kigSgn( vgraphmin ) != kigSgn( vgraphmax ) ) + begin = d; + double end = kigMax( hgraphmax, vgraphmax ); + + // we also want the circles that don't fit entirely in the + // screen.. + Coordinate c( 0, 0 ); + p.setPen( QPen( lightGray, 0, DotLine ) ); + for ( double i = begin; i <= end + d / 2; i += d ) + drawGridLine( p, c, fabs( i ) ); + } + + /****** the axes ******/ + if ( showaxes ) + { + p.setPen( QPen( Qt::gray, 1, Qt::SolidLine ) ); + // x axis + p.drawSegment( Coordinate( hmin, 0 ), Coordinate( hmax, 0 ) ); + // y axis + p.drawSegment( Coordinate( 0, vmin ), Coordinate( 0, vmax ) ); + + /****** the numbers ******/ + + // x axis + for( double i = hgraphmin; i <= hgraphmax + hd / 2; i += hd ) + { + // we skip 0 since that would look stupid... (the axes going + // through the 0 etc. ) + if( fabs( i ) < 1e-8 ) continue; + + QString is = KGlobal::locale()->formatNumber( fabs( i ), nfrac ); + p.drawText( + Rect( Coordinate( i, 0 ), hd, -2*vd ).normalized(), + is, AlignLeft | AlignTop ); + }; + // y axis... + for ( double i = vgraphmin; i <= vgraphmax + vd / 2; i += vd ) + { + if( fabs( i ) < 1e-8 ) continue; + + QString is = KGlobal::locale()->formatNumber( fabs( i ), nfrac ); + + p.drawText ( Rect( Coordinate( 0, i ), hd, vd ).normalized(), + is, AlignBottom | AlignLeft + ); + }; + // arrows on the ends of the axes... + p.setPen( QPen( Qt::gray, 1, Qt::SolidLine ) ); + p.setBrush( QBrush( Qt::gray ) ); + std::vector<Coordinate> a; + + // the arrow on the right end of the X axis... + a.reserve( 3 ); + double u = p.pixelWidth(); + a.push_back( Coordinate( hmax - 6 * u, -3 * u) ); + a.push_back( Coordinate( hmax, 0 ) ); + a.push_back( Coordinate( hmax - 6 * u, 3 * u ) ); +// p.drawPolygon( a, true ); + p.drawArea( a ); + + // the arrow on the top end of the Y axis... + a.clear(); + a.reserve( 3 ); + a.push_back( Coordinate( 3 * u, vmax - 6 * u ) ); + a.push_back( Coordinate( 0, vmax ) ); + a.push_back( Coordinate( -3 * u, vmax - 6 * u ) ); +// p.drawPolygon( a, true ); + p.drawArea( a ); + }; // if( showaxes ) +} + +QValidator* EuclideanCoords::coordinateValidator() const +{ + return new CoordinateValidator( false ); +} + +QValidator* PolarCoords::coordinateValidator() const +{ + return new CoordinateValidator( true ); +} + +QStringList CoordinateSystemFactory::names() +{ + QStringList ret; + ret << i18n( "&Euclidean" ) + << i18n( "&Polar" ); + return ret; +} + +CoordinateSystem* CoordinateSystemFactory::build( int which ) +{ + if ( which == Euclidean ) + return new EuclideanCoords; + else if ( which == Polar ) + return new PolarCoords; + else return 0; +} + +static const char euclideanTypeString[] = "Euclidean"; +static const char polarTypeString[] = "Polar"; + +CoordinateSystem* CoordinateSystemFactory::build( const char* type ) +{ + if ( std::string( euclideanTypeString ) == type ) + return new EuclideanCoords; + if ( std::string( polarTypeString ) == type ) + return new PolarCoords; + else return 0; +} + +const char* EuclideanCoords::type() const +{ + return euclideanTypeString; +} + +const char* PolarCoords::type() const +{ + return polarTypeString; +} + +int EuclideanCoords::id() const +{ + return CoordinateSystemFactory::Euclidean; +} + +int PolarCoords::id() const +{ + return CoordinateSystemFactory::Polar; +} + +QString CoordinateSystemFactory::setCoordinateSystemStatement( int id ) +{ + switch( id ) + { + case Euclidean: + return i18n( "Set Euclidean Coordinate System" ); + case Polar: + return i18n( "Set Polar Coordinate System" ); + default: + assert( false ); + return QString::null; + } +} + +Coordinate EuclideanCoords::snapToGrid( const Coordinate& c, + const KigWidget& w ) const +{ + Rect rect = w.showingRect(); + // we recalc the interval stuff since there is no way to cache it.. + + // this function is again inspired upon ( public domain ) code from + // the first Graphics Gems book. Credits to Paul S. Heckbert, who + // wrote the "Nice number for graph labels" gem. + + const double hmax = rect.right(); + const double hmin = rect.left(); + const double vmax = rect.top(); + const double vmin = rect.bottom(); + + // the number of intervals we would like to have: + // we try to have one of them per 40 pixels or so.. + const int ntick = static_cast<int>( + kigMax( hmax - hmin, vmax - vmin ) / w.pixelWidth() / 40. ) + 1; + + const double hrange = nicenum( hmax - hmin, false ); + const double vrange = nicenum( vmax - vmin, false ); + + const double hd = nicenum( hrange / ( ntick - 1 ), true ); + const double vd = nicenum( vrange / ( ntick - 1 ), true ); + + const double hgraphmin = ceil( hmin / hd) * hd; + const double vgraphmin = ceil( vmin / vd ) * vd; + + const double nx = qRound( ( c.x - hgraphmin ) / hd ) * hd + hgraphmin; + const double ny = qRound( ( c.y - vgraphmin ) / vd ) * vd + vgraphmin; + return Coordinate( nx, ny ); +} + +Coordinate PolarCoords::snapToGrid( const Coordinate& c, + const KigWidget& w ) const +{ + // we reuse the drawGrid code to find + + // we multiply by sqrt( 2 ) cause we don't want to miss circles in + // the corners, that intersect with the axes outside of the + // screen.. + + Rect r = w.showingRect(); + + const double hmax = M_SQRT2 * r.right(); + const double hmin = M_SQRT2 * r.left(); + const double vmax = M_SQRT2 * r.top(); + const double vmin = M_SQRT2 * r.bottom(); + + // the intervals: + // we try to have one of them per 40 pixels or so.. + const int ntick = static_cast<int>( + kigMax( hmax - hmin, vmax - vmin ) / w.pixelWidth() / 40 ) + 1; + + const double hrange = nicenum( hmax - hmin, false ); + const double vrange = nicenum( vmax - vmin, false ); + + const double hd = nicenum( hrange / ( ntick - 1 ), true ); + const double vd = nicenum( vrange / ( ntick - 1 ), true ); + + double d = kigMin( hd, vd ); + + double dist = c.length(); + double ndist = qRound( dist / d ) * d; + return c.normalize( ndist ); +} + +void PolarCoords::drawGridLine( KigPainter& p, const Coordinate& c, + double r ) const +{ + Rect rect = p.window(); + + struct iterdata_t + { + int xd; + int yd; + Coordinate ( Rect::*point )() const; + Coordinate ( Rect::*oppositepoint )() const; + double horizAngle; + double vertAngle; + }; + + static const iterdata_t iterdata[] = + { + { +1, +1, &Rect::topRight, &Rect::bottomLeft, 0, M_PI/2 }, + { -1, +1, &Rect::topLeft, &Rect::bottomRight, M_PI, M_PI / 2 }, + { -1, -1, &Rect::bottomLeft, &Rect::topRight, M_PI, 3*M_PI/2 }, + { +1, -1, &Rect::bottomRight, &Rect::topLeft, 2*M_PI, 3*M_PI/2 } + }; + for ( int i = 0; i < 4; ++i ) + { + int xd = iterdata[i].xd; + int yd = iterdata[i].yd; + Coordinate point = ( rect.*iterdata[i].point )(); + Coordinate opppoint = ( rect.*iterdata[i].oppositepoint )(); + double horizangle = iterdata[i].horizAngle; + double vertangle = iterdata[i].vertAngle; + + if ( ( c.x - point.x )*xd > 0 || ( c.y - point.y )*yd > 0 ) + continue; + if ( ( c.x - opppoint.x )*-xd > r || ( c.y - opppoint.y )*-yd > r ) + continue; + + int posdir = xd*yd; + double hd = ( point.x - c.x )*xd; + assert( hd >= 0 ); + if ( hd < r ) + { + double anglediff = acos( hd/r ); + horizangle += posdir * anglediff; + } + + hd = ( c.x - opppoint.x )*-xd; + if ( hd >= 0 ) + { + double anglediff = asin( hd/r ); + vertangle -= posdir * anglediff; + } + + double vd = ( point.y - c.y )*yd; + assert( vd >= 0 ); + if ( vd < r ) + { + double anglediff = acos( vd/r ); + vertangle -= posdir * anglediff; + } + + vd = ( c.y - opppoint.y ) * -xd; + if ( vd >= 0 ) + { + double anglediff = asin( hd/r ); + horizangle += posdir * anglediff; + } + + p.drawArc( c, r, kigMin( horizangle, vertangle ), kigMax( horizangle, vertangle ) ); + } +// p.drawCircle( c, r ); +} |