office-gobmx/basegfx/source/polygon/b2dsvgpolypolygon.cxx
Fridrich Štrba bfc8f93366 Use the sweep flag to determine the drawing direction
The previous solution was giving somehow acceptable results
in the majority of cases, but was pretty broken
with corner cases where the arc is exactly half of the whole ellipse and where
the large arc flag is largely irrelevant.
If the sweep flag is equal to 0 drawing goes in the sense of decreasing angles.
If it is set, drawing goes in the sense of increasing angles.
2011-06-22 12:54:25 +02:00

1108 lines
51 KiB
C++

/* -*- Mode: C++; tab-width: 4; indent-tabs-mode: nil; c-basic-offset: 4 -*- */
/*************************************************************************
*
* DO NOT ALTER OR REMOVE COPYRIGHT NOTICES OR THIS FILE HEADER.
*
* Copyright 2000, 2010 Oracle and/or its affiliates.
*
* OpenOffice.org - a multi-platform office productivity suite
*
* This file is part of OpenOffice.org.
*
* OpenOffice.org is free software: you can redistribute it and/or modify
* it under the terms of the GNU Lesser General Public License version 3
* only, as published by the Free Software Foundation.
*
* OpenOffice.org 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 Lesser General Public License version 3 for more details
* (a copy is included in the LICENSE file that accompanied this code).
*
* You should have received a copy of the GNU Lesser General Public License
* version 3 along with OpenOffice.org. If not, see
* <http://www.openoffice.org/license.html>
* for a copy of the LGPLv3 License.
*
************************************************************************/
// MARKER(update_precomp.py): autogen include statement, do not remove
#include "precompiled_basegfx.hxx"
#include <basegfx/polygon/b2dpolygontools.hxx>
#include <basegfx/polygon/b2dpolypolygontools.hxx>
#include <basegfx/polygon/b2dpolygontools.hxx>
#include <basegfx/polygon/b2dpolypolygon.hxx>
#include <basegfx/matrix/b2dhommatrix.hxx>
#include <basegfx/matrix/b2dhommatrixtools.hxx>
#include <rtl/ustring.hxx>
#include <rtl/math.hxx>
namespace basegfx
{
namespace tools
{
namespace
{
void lcl_skipSpaces(sal_Int32& io_rPos,
const ::rtl::OUString& rStr,
const sal_Int32 nLen)
{
while( io_rPos < nLen &&
sal_Unicode(' ') == rStr[io_rPos] )
{
++io_rPos;
}
}
void lcl_skipSpacesAndCommas(sal_Int32& io_rPos,
const ::rtl::OUString& rStr,
const sal_Int32 nLen)
{
while(io_rPos < nLen
&& (sal_Unicode(' ') == rStr[io_rPos] || sal_Unicode(',') == rStr[io_rPos]))
{
++io_rPos;
}
}
inline bool lcl_isOnNumberChar(const sal_Unicode aChar, bool bSignAllowed = true)
{
const bool bPredicate( (sal_Unicode('0') <= aChar && sal_Unicode('9') >= aChar)
|| (bSignAllowed && sal_Unicode('+') == aChar)
|| (bSignAllowed && sal_Unicode('-') == aChar) );
return bPredicate;
}
inline bool lcl_isOnNumberChar(const ::rtl::OUString& rStr, const sal_Int32 nPos, bool bSignAllowed = true)
{
return lcl_isOnNumberChar(rStr[nPos],
bSignAllowed);
}
bool lcl_getDoubleChar(double& o_fRetval,
sal_Int32& io_rPos,
const ::rtl::OUString& rStr,
const sal_Int32 /*nLen*/)
{
sal_Unicode aChar( rStr[io_rPos] );
::rtl::OUStringBuffer sNumberString;
if(sal_Unicode('+') == aChar || sal_Unicode('-') == aChar)
{
sNumberString.append(rStr[io_rPos]);
aChar = rStr[++io_rPos];
}
while((sal_Unicode('0') <= aChar && sal_Unicode('9') >= aChar)
|| sal_Unicode('.') == aChar)
{
sNumberString.append(rStr[io_rPos]);
aChar = rStr[++io_rPos];
}
if(sal_Unicode('e') == aChar || sal_Unicode('E') == aChar)
{
sNumberString.append(rStr[io_rPos]);
aChar = rStr[++io_rPos];
if(sal_Unicode('+') == aChar || sal_Unicode('-') == aChar)
{
sNumberString.append(rStr[io_rPos]);
aChar = rStr[++io_rPos];
}
while(sal_Unicode('0') <= aChar && sal_Unicode('9') >= aChar)
{
sNumberString.append(rStr[io_rPos]);
aChar = rStr[++io_rPos];
}
}
if(sNumberString.getLength())
{
rtl_math_ConversionStatus eStatus;
o_fRetval = ::rtl::math::stringToDouble( sNumberString.makeStringAndClear(),
(sal_Unicode)('.'),
(sal_Unicode)(','),
&eStatus,
NULL );
return ( eStatus == rtl_math_ConversionStatus_Ok );
}
return false;
}
bool lcl_importDoubleAndSpaces( double& o_fRetval,
sal_Int32& io_rPos,
const ::rtl::OUString& rStr,
const sal_Int32 nLen )
{
if( !lcl_getDoubleChar(o_fRetval, io_rPos, rStr, nLen) )
return false;
lcl_skipSpacesAndCommas(io_rPos, rStr, nLen);
return true;
}
bool lcl_importNumberAndSpaces(sal_Int32& o_nRetval,
sal_Int32& io_rPos,
const ::rtl::OUString& rStr,
const sal_Int32 nLen)
{
sal_Unicode aChar( rStr[io_rPos] );
::rtl::OUStringBuffer sNumberString;
if(sal_Unicode('+') == aChar || sal_Unicode('-') == aChar)
{
sNumberString.append(rStr[io_rPos]);
aChar = rStr[++io_rPos];
}
while(sal_Unicode('0') <= aChar && sal_Unicode('9') >= aChar)
{
sNumberString.append(rStr[io_rPos]);
aChar = rStr[++io_rPos];
}
if(sNumberString.getLength())
{
o_nRetval = sNumberString.makeStringAndClear().toInt32();
lcl_skipSpacesAndCommas(io_rPos, rStr, nLen);
return true;
}
return false;
}
void lcl_skipNumber(sal_Int32& io_rPos,
const ::rtl::OUString& rStr,
const sal_Int32 nLen)
{
bool bSignAllowed(true);
while(io_rPos < nLen && lcl_isOnNumberChar(rStr, io_rPos, bSignAllowed))
{
bSignAllowed = false;
++io_rPos;
}
}
void lcl_skipDouble(sal_Int32& io_rPos,
const ::rtl::OUString& rStr,
const sal_Int32 /*nLen*/)
{
sal_Unicode aChar( rStr[io_rPos] );
if(sal_Unicode('+') == aChar || sal_Unicode('-') == aChar)
aChar = rStr[++io_rPos];
while((sal_Unicode('0') <= aChar && sal_Unicode('9') >= aChar)
|| sal_Unicode('.') == aChar)
{
aChar = rStr[++io_rPos];
}
if(sal_Unicode('e') == aChar || sal_Unicode('E') == aChar)
{
aChar = rStr[++io_rPos];
if(sal_Unicode('+') == aChar || sal_Unicode('-') == aChar)
aChar = rStr[++io_rPos];
while(sal_Unicode('0') <= aChar && sal_Unicode('9') >= aChar)
{
aChar = rStr[++io_rPos];
}
}
}
void lcl_skipNumberAndSpacesAndCommas(sal_Int32& io_rPos,
const ::rtl::OUString& rStr,
const sal_Int32 nLen)
{
lcl_skipNumber(io_rPos, rStr, nLen);
lcl_skipSpacesAndCommas(io_rPos, rStr, nLen);
}
// #100617# Allow to skip doubles, too.
void lcl_skipDoubleAndSpacesAndCommas(sal_Int32& io_rPos,
const ::rtl::OUString& rStr,
const sal_Int32 nLen)
{
lcl_skipDouble(io_rPos, rStr, nLen);
lcl_skipSpacesAndCommas(io_rPos, rStr, nLen);
}
void lcl_putNumberChar( ::rtl::OUStringBuffer& rStr,
double fValue )
{
rStr.append( fValue );
}
void lcl_putNumberCharWithSpace( ::rtl::OUStringBuffer& rStr,
double fValue,
double fOldValue,
bool bUseRelativeCoordinates )
{
if( bUseRelativeCoordinates )
fValue -= fOldValue;
const sal_Int32 aLen( rStr.getLength() );
if(aLen)
{
if( lcl_isOnNumberChar(rStr.charAt(aLen - 1), false) &&
fValue >= 0.0 )
{
rStr.append( sal_Unicode(' ') );
}
}
lcl_putNumberChar(rStr, fValue);
}
inline sal_Unicode lcl_getCommand( sal_Char cUpperCaseCommand,
sal_Char cLowerCaseCommand,
bool bUseRelativeCoordinates )
{
return bUseRelativeCoordinates ? cLowerCaseCommand : cUpperCaseCommand;
}
}
bool importFromSvgD(B2DPolyPolygon& o_rPolyPolygon, const ::rtl::OUString& rSvgDStatement)
{
o_rPolyPolygon.clear();
const sal_Int32 nLen(rSvgDStatement.getLength());
sal_Int32 nPos(0);
bool bIsClosed(false);
double nLastX( 0.0 );
double nLastY( 0.0 );
B2DPolygon aCurrPoly;
// skip initial whitespace
lcl_skipSpaces(nPos, rSvgDStatement, nLen);
while(nPos < nLen)
{
bool bRelative(false);
bool bMoveTo(false);
const sal_Unicode aCurrChar(rSvgDStatement[nPos]);
switch(aCurrChar)
{
case 'z' :
case 'Z' :
{
nPos++;
lcl_skipSpaces(nPos, rSvgDStatement, nLen);
// remember closed state of current polygon
bIsClosed = true;
break;
}
case 'm' :
case 'M' :
{
bMoveTo = true;
// FALLTHROUGH intended
}
case 'l' :
case 'L' :
{
if('m' == aCurrChar || 'l' == aCurrChar)
{
bRelative = true;
}
if(bMoveTo)
{
// new polygon start, finish old one
if(aCurrPoly.count())
{
// add current polygon
if(bIsClosed)
{
closeWithGeometryChange(aCurrPoly);
}
o_rPolyPolygon.append(aCurrPoly);
// reset import values
bIsClosed = false;
aCurrPoly.clear();
}
}
nPos++;
lcl_skipSpaces(nPos, rSvgDStatement, nLen);
while(nPos < nLen && lcl_isOnNumberChar(rSvgDStatement, nPos))
{
double nX, nY;
if(!lcl_importDoubleAndSpaces(nX, nPos, rSvgDStatement, nLen)) return false;
if(!lcl_importDoubleAndSpaces(nY, nPos, rSvgDStatement, nLen)) return false;
if(bRelative)
{
nX += nLastX;
nY += nLastY;
}
// set last position
nLastX = nX;
nLastY = nY;
// add point
aCurrPoly.append(B2DPoint(nX, nY));
}
break;
}
case 'h' :
{
bRelative = true;
// FALLTHROUGH intended
}
case 'H' :
{
nPos++;
lcl_skipSpaces(nPos, rSvgDStatement, nLen);
while(nPos < nLen && lcl_isOnNumberChar(rSvgDStatement, nPos))
{
double nX, nY(nLastY);
if(!lcl_importDoubleAndSpaces(nX, nPos, rSvgDStatement, nLen)) return false;
if(bRelative)
{
nX += nLastX;
}
// set last position
nLastX = nX;
// add point
aCurrPoly.append(B2DPoint(nX, nY));
}
break;
}
case 'v' :
{
bRelative = true;
// FALLTHROUGH intended
}
case 'V' :
{
nPos++;
lcl_skipSpaces(nPos, rSvgDStatement, nLen);
while(nPos < nLen && lcl_isOnNumberChar(rSvgDStatement, nPos))
{
double nX(nLastX), nY;
if(!lcl_importDoubleAndSpaces(nY, nPos, rSvgDStatement, nLen)) return false;
if(bRelative)
{
nY += nLastY;
}
// set last position
nLastY = nY;
// add point
aCurrPoly.append(B2DPoint(nX, nY));
}
break;
}
case 's' :
{
bRelative = true;
// FALLTHROUGH intended
}
case 'S' :
{
nPos++;
lcl_skipSpaces(nPos, rSvgDStatement, nLen);
while(nPos < nLen && lcl_isOnNumberChar(rSvgDStatement, nPos))
{
double nX, nY;
double nX2, nY2;
if(!lcl_importDoubleAndSpaces(nX2, nPos, rSvgDStatement, nLen)) return false;
if(!lcl_importDoubleAndSpaces(nY2, nPos, rSvgDStatement, nLen)) return false;
if(!lcl_importDoubleAndSpaces(nX, nPos, rSvgDStatement, nLen)) return false;
if(!lcl_importDoubleAndSpaces(nY, nPos, rSvgDStatement, nLen)) return false;
if(bRelative)
{
nX2 += nLastX;
nY2 += nLastY;
nX += nLastX;
nY += nLastY;
}
// ensure existance of start point
if(!aCurrPoly.count())
{
aCurrPoly.append(B2DPoint(nLastX, nLastY));
}
// get first control point. It's the reflection of the PrevControlPoint
// of the last point. If not existent, use current point (see SVG)
B2DPoint aPrevControl(B2DPoint(nLastX, nLastY));
const sal_uInt32 nIndex(aCurrPoly.count() - 1);
if(aCurrPoly.areControlPointsUsed() && aCurrPoly.isPrevControlPointUsed(nIndex))
{
const B2DPoint aPrevPoint(aCurrPoly.getB2DPoint(nIndex));
const B2DPoint aPrevControlPoint(aCurrPoly.getPrevControlPoint(nIndex));
// use mirrored previous control point
aPrevControl.setX((2.0 * aPrevPoint.getX()) - aPrevControlPoint.getX());
aPrevControl.setY((2.0 * aPrevPoint.getY()) - aPrevControlPoint.getY());
}
// append curved edge
aCurrPoly.appendBezierSegment(aPrevControl, B2DPoint(nX2, nY2), B2DPoint(nX, nY));
// set last position
nLastX = nX;
nLastY = nY;
}
break;
}
case 'c' :
{
bRelative = true;
// FALLTHROUGH intended
}
case 'C' :
{
nPos++;
lcl_skipSpaces(nPos, rSvgDStatement, nLen);
while(nPos < nLen && lcl_isOnNumberChar(rSvgDStatement, nPos))
{
double nX, nY;
double nX1, nY1;
double nX2, nY2;
if(!lcl_importDoubleAndSpaces(nX1, nPos, rSvgDStatement, nLen)) return false;
if(!lcl_importDoubleAndSpaces(nY1, nPos, rSvgDStatement, nLen)) return false;
if(!lcl_importDoubleAndSpaces(nX2, nPos, rSvgDStatement, nLen)) return false;
if(!lcl_importDoubleAndSpaces(nY2, nPos, rSvgDStatement, nLen)) return false;
if(!lcl_importDoubleAndSpaces(nX, nPos, rSvgDStatement, nLen)) return false;
if(!lcl_importDoubleAndSpaces(nY, nPos, rSvgDStatement, nLen)) return false;
if(bRelative)
{
nX1 += nLastX;
nY1 += nLastY;
nX2 += nLastX;
nY2 += nLastY;
nX += nLastX;
nY += nLastY;
}
// ensure existance of start point
if(!aCurrPoly.count())
{
aCurrPoly.append(B2DPoint(nLastX, nLastY));
}
// append curved edge
aCurrPoly.appendBezierSegment(B2DPoint(nX1, nY1), B2DPoint(nX2, nY2), B2DPoint(nX, nY));
// set last position
nLastX = nX;
nLastY = nY;
}
break;
}
// #100617# quadratic beziers are imported as cubic ones
case 'q' :
{
bRelative = true;
// FALLTHROUGH intended
}
case 'Q' :
{
nPos++;
lcl_skipSpaces(nPos, rSvgDStatement, nLen);
while(nPos < nLen && lcl_isOnNumberChar(rSvgDStatement, nPos))
{
double nX, nY;
double nX1, nY1;
if(!lcl_importDoubleAndSpaces(nX1, nPos, rSvgDStatement, nLen)) return false;
if(!lcl_importDoubleAndSpaces(nY1, nPos, rSvgDStatement, nLen)) return false;
if(!lcl_importDoubleAndSpaces(nX, nPos, rSvgDStatement, nLen)) return false;
if(!lcl_importDoubleAndSpaces(nY, nPos, rSvgDStatement, nLen)) return false;
if(bRelative)
{
nX1 += nLastX;
nY1 += nLastY;
nX += nLastX;
nY += nLastY;
}
// calculate the cubic bezier coefficients from the quadratic ones
const double nX1Prime((nX1 * 2.0 + nLastX) / 3.0);
const double nY1Prime((nY1 * 2.0 + nLastY) / 3.0);
const double nX2Prime((nX1 * 2.0 + nX) / 3.0);
const double nY2Prime((nY1 * 2.0 + nY) / 3.0);
// ensure existance of start point
if(!aCurrPoly.count())
{
aCurrPoly.append(B2DPoint(nLastX, nLastY));
}
// append curved edge
aCurrPoly.appendBezierSegment(B2DPoint(nX1Prime, nY1Prime), B2DPoint(nX2Prime, nY2Prime), B2DPoint(nX, nY));
// set last position
nLastX = nX;
nLastY = nY;
}
break;
}
// #100617# relative quadratic beziers are imported as cubic
case 't' :
{
bRelative = true;
// FALLTHROUGH intended
}
case 'T' :
{
nPos++;
lcl_skipSpaces(nPos, rSvgDStatement, nLen);
while(nPos < nLen && lcl_isOnNumberChar(rSvgDStatement, nPos))
{
double nX, nY;
if(!lcl_importDoubleAndSpaces(nX, nPos, rSvgDStatement, nLen)) return false;
if(!lcl_importDoubleAndSpaces(nY, nPos, rSvgDStatement, nLen)) return false;
if(bRelative)
{
nX += nLastX;
nY += nLastY;
}
// ensure existance of start point
if(!aCurrPoly.count())
{
aCurrPoly.append(B2DPoint(nLastX, nLastY));
}
// get first control point. It's the reflection of the PrevControlPoint
// of the last point. If not existent, use current point (see SVG)
B2DPoint aPrevControl(B2DPoint(nLastX, nLastY));
const sal_uInt32 nIndex(aCurrPoly.count() - 1);
const B2DPoint aPrevPoint(aCurrPoly.getB2DPoint(nIndex));
if(aCurrPoly.areControlPointsUsed() && aCurrPoly.isPrevControlPointUsed(nIndex))
{
const B2DPoint aPrevControlPoint(aCurrPoly.getPrevControlPoint(nIndex));
// use mirrored previous control point
aPrevControl.setX((2.0 * aPrevPoint.getX()) - aPrevControlPoint.getX());
aPrevControl.setY((2.0 * aPrevPoint.getY()) - aPrevControlPoint.getY());
}
if(!aPrevControl.equal(aPrevPoint))
{
// there is a prev control point, and we have the already mirrored one
// in aPrevControl. We also need the quadratic control point for this
// new quadratic segment to calculate the 2nd cubic control point
const B2DPoint aQuadControlPoint(
((3.0 * aPrevControl.getX()) - aPrevPoint.getX()) / 2.0,
((3.0 * aPrevControl.getY()) - aPrevPoint.getY()) / 2.0);
// calculate the cubic bezier coefficients from the quadratic ones.
const double nX2Prime((aQuadControlPoint.getX() * 2.0 + nX) / 3.0);
const double nY2Prime((aQuadControlPoint.getY() * 2.0 + nY) / 3.0);
// append curved edge, use mirrored cubic control point directly
aCurrPoly.appendBezierSegment(aPrevControl, B2DPoint(nX2Prime, nY2Prime), B2DPoint(nX, nY));
}
else
{
// when no previous control, SVG says to use current point -> straight line.
// Just add end point
aCurrPoly.append(B2DPoint(nX, nY));
}
// set last position
nLastX = nX;
nLastY = nY;
}
break;
}
case 'a' :
{
bRelative = true;
// FALLTHROUGH intended
}
case 'A' :
{
nPos++;
lcl_skipSpaces(nPos, rSvgDStatement, nLen);
while(nPos < nLen && lcl_isOnNumberChar(rSvgDStatement, nPos))
{
double nX, nY;
double fRX, fRY, fPhi;
sal_Int32 bLargeArcFlag, bSweepFlag;
if(!lcl_importDoubleAndSpaces(fRX, nPos, rSvgDStatement, nLen)) return false;
if(!lcl_importDoubleAndSpaces(fRY, nPos, rSvgDStatement, nLen)) return false;
if(!lcl_importDoubleAndSpaces(fPhi, nPos, rSvgDStatement, nLen)) return false;
if(!lcl_importNumberAndSpaces(bLargeArcFlag, nPos, rSvgDStatement, nLen)) return false;
if(!lcl_importNumberAndSpaces(bSweepFlag, nPos, rSvgDStatement, nLen)) return false;
if(!lcl_importDoubleAndSpaces(nX, nPos, rSvgDStatement, nLen)) return false;
if(!lcl_importDoubleAndSpaces(nY, nPos, rSvgDStatement, nLen)) return false;
if(bRelative)
{
nX += nLastX;
nY += nLastY;
}
const B2DPoint aPrevPoint(aCurrPoly.getB2DPoint(aCurrPoly.count() - 1));
if( nX == nLastX && nY == nLastY )
continue; // start==end -> skip according to SVG spec
if( fRX == 0.0 || fRY == 0.0 )
{
// straight line segment according to SVG spec
aCurrPoly.append(B2DPoint(nX, nY));
}
else
{
// normalize according to SVG spec
fRX=fabs(fRX); fRY=fabs(fRY);
// from the SVG spec, appendix F.6.4
// |x1'| |cos phi sin phi| |(x1 - x2)/2|
// |y1'| = |-sin phi cos phi| |(y1 - y2)/2|
const B2DPoint p1(nLastX, nLastY);
const B2DPoint p2(nX, nY);
B2DHomMatrix aTransform(basegfx::tools::createRotateB2DHomMatrix(-fPhi*M_PI/180));
const B2DPoint p1_prime( aTransform * B2DPoint(((p1-p2)/2.0)) );
// ______________________________________ rx y1'
// |cx'| + / rx^2 ry^2 - rx^2 y1'^2 - ry^2 x1^2 ry
// |cy'| =-/ rx^2y1'^2 + ry^2 x1'^2 - ry x1'
// rx
// chose + if f_A != f_S
// chose - if f_A = f_S
B2DPoint aCenter_prime;
const double fRadicant(
(fRX*fRX*fRY*fRY - fRX*fRX*p1_prime.getY()*p1_prime.getY() - fRY*fRY*p1_prime.getX()*p1_prime.getX())/
(fRX*fRX*p1_prime.getY()*p1_prime.getY() + fRY*fRY*p1_prime.getX()*p1_prime.getX()));
if( fRadicant < 0.0 )
{
// no solution - according to SVG
// spec, scale up ellipse
// uniformly such that it passes
// through end points (denominator
// of radicant solved for fRY,
// with s=fRX/fRY)
const double fRatio(fRX/fRY);
const double fRadicant2(
p1_prime.getY()*p1_prime.getY() +
p1_prime.getX()*p1_prime.getX()/(fRatio*fRatio));
if( fRadicant2 < 0.0 )
{
// only trivial solution, one
// of the axes 0 -> straight
// line segment according to
// SVG spec
aCurrPoly.append(B2DPoint(nX, nY));
continue;
}
fRY=sqrt(fRadicant2);
fRX=fRatio*fRY;
// keep center_prime forced to (0,0)
}
else
{
const double fFactor(
(bLargeArcFlag==bSweepFlag ? -1.0 : 1.0) *
sqrt(fRadicant));
// actually calculate center_prime
aCenter_prime = B2DPoint(
fFactor*fRX*p1_prime.getY()/fRY,
-fFactor*fRY*p1_prime.getX()/fRX);
}
// + u - v
// angle(u,v) = arccos( ------------ ) (take the sign of (ux vy - uy vx))
// - ||u|| ||v||
// 1 | (x1' - cx')/rx |
// theta1 = angle(( ), | | )
// 0 | (y1' - cy')/ry |
const B2DPoint aRadii(fRX,fRY);
double fTheta1(
B2DVector(1.0,0.0).angle(
(p1_prime-aCenter_prime)/aRadii));
// |1| | (-x1' - cx')/rx |
// theta2 = angle( | | , | | )
// |0| | (-y1' - cy')/ry |
double fTheta2(
B2DVector(1.0,0.0).angle(
(-p1_prime-aCenter_prime)/aRadii));
// map both angles to [0,2pi)
fTheta1 = fmod(2*M_PI+fTheta1,2*M_PI);
fTheta2 = fmod(2*M_PI+fTheta2,2*M_PI);
// make sure the large arc is taken
// (since
// createPolygonFromEllipseSegment()
// normalizes to e.g. cw arc)
if( !bSweepFlag )
std::swap(fTheta1,fTheta2);
// finally, create bezier polygon from this
B2DPolygon aSegment(
tools::createPolygonFromUnitEllipseSegment(
fTheta1, fTheta2 ));
// transform ellipse by rotation & move to final center
aTransform = basegfx::tools::createScaleB2DHomMatrix(fRX, fRY);
aTransform.translate(aCenter_prime.getX(),
aCenter_prime.getY());
aTransform.rotate(fPhi*M_PI/180);
const B2DPoint aOffset((p1+p2)/2.0);
aTransform.translate(aOffset.getX(),
aOffset.getY());
aSegment.transform(aTransform);
// createPolygonFromEllipseSegment()
// always creates arcs that are
// positively oriented - flip polygon
// if we swapped angles above
if( !bSweepFlag )
aSegment.flip();
aCurrPoly.append(aSegment);
}
// set last position
nLastX = nX;
nLastY = nY;
}
break;
}
default:
{
OSL_FAIL("importFromSvgD(): skipping tags in svg:d element (unknown)!");
OSL_TRACE("importFromSvgD(): skipping tags in svg:d element (unknown: \"%c\")!", aCurrChar);
++nPos;
break;
}
}
}
if(aCurrPoly.count())
{
// end-process last poly
if(bIsClosed)
{
closeWithGeometryChange(aCurrPoly);
}
o_rPolyPolygon.append(aCurrPoly);
}
return true;
}
bool importFromSvgPoints( B2DPolygon& o_rPoly,
const ::rtl::OUString& rSvgPointsAttribute )
{
o_rPoly.clear();
const sal_Int32 nLen(rSvgPointsAttribute.getLength());
sal_Int32 nPos(0);
double nX, nY;
// skip initial whitespace
lcl_skipSpaces(nPos, rSvgPointsAttribute, nLen);
while(nPos < nLen)
{
if(!lcl_importDoubleAndSpaces(nX, nPos, rSvgPointsAttribute, nLen)) return false;
if(!lcl_importDoubleAndSpaces(nY, nPos, rSvgPointsAttribute, nLen)) return false;
// add point
o_rPoly.append(B2DPoint(nX, nY));
// skip to next number, or finish
lcl_skipSpaces(nPos, rSvgPointsAttribute, nLen);
}
return true;
}
::rtl::OUString exportToSvgD(
const B2DPolyPolygon& rPolyPolygon,
bool bUseRelativeCoordinates,
bool bDetectQuadraticBeziers)
{
const sal_uInt32 nCount(rPolyPolygon.count());
::rtl::OUStringBuffer aResult;
B2DPoint aCurrentSVGPosition(0.0, 0.0); // SVG assumes (0,0) as the initial current point
for(sal_uInt32 i(0); i < nCount; i++)
{
const B2DPolygon aPolygon(rPolyPolygon.getB2DPolygon(i));
const sal_uInt32 nPointCount(aPolygon.count());
if(nPointCount)
{
const bool bPolyUsesControlPoints(aPolygon.areControlPointsUsed());
const sal_uInt32 nEdgeCount(aPolygon.isClosed() ? nPointCount : nPointCount - 1);
sal_Unicode aLastSVGCommand(' '); // last SVG command char
B2DPoint aLeft, aRight; // for quadratic bezier test
// handle polygon start point
B2DPoint aEdgeStart(aPolygon.getB2DPoint(0));
aResult.append(lcl_getCommand('M', 'm', bUseRelativeCoordinates));
lcl_putNumberCharWithSpace(aResult, aEdgeStart.getX(), aCurrentSVGPosition.getX(), bUseRelativeCoordinates);
lcl_putNumberCharWithSpace(aResult, aEdgeStart.getY(), aCurrentSVGPosition.getY(), bUseRelativeCoordinates);
aLastSVGCommand = lcl_getCommand('L', 'l', bUseRelativeCoordinates);
aCurrentSVGPosition = aEdgeStart;
for(sal_uInt32 nIndex(0); nIndex < nEdgeCount; nIndex++)
{
// prepare access to next point
const sal_uInt32 nNextIndex((nIndex + 1) % nPointCount);
const B2DPoint aEdgeEnd(aPolygon.getB2DPoint(nNextIndex));
// handle edge from (aEdgeStart, aEdgeEnd) using indices (nIndex, nNextIndex)
const bool bEdgeIsBezier(bPolyUsesControlPoints
&& (aPolygon.isNextControlPointUsed(nIndex) || aPolygon.isPrevControlPointUsed(nNextIndex)));
if(bEdgeIsBezier)
{
// handle bezier edge
const B2DPoint aControlEdgeStart(aPolygon.getNextControlPoint(nIndex));
const B2DPoint aControlEdgeEnd(aPolygon.getPrevControlPoint(nNextIndex));
bool bIsQuadraticBezier(false);
// check continuity at current edge's start point. For SVG, do NOT use an
// existing continuity since no 'S' or 's' statement should be written. At
// import, that 'previous' control vector is not available. SVG documentation
// says for interpretation:
//
// "(If there is no previous command or if the previous command was
// not an C, c, S or s, assume the first control point is coincident
// with the current point.)"
//
// That's what is done from our import, so avoid exporting it as first statement
// is necessary.
const bool bSymmetricAtEdgeStart(
0 != nIndex
&& CONTINUITY_C2 == aPolygon.getContinuityInPoint(nIndex));
if(bDetectQuadraticBeziers)
{
// check for quadratic beziers - that's
// the case if both control points are in
// the same place when they are prolonged
// to the common quadratic control point
//
// Left: P = (3P1 - P0) / 2
// Right: P = (3P2 - P3) / 2
aLeft = B2DPoint((3.0 * aControlEdgeStart - aEdgeStart) / 2.0);
aRight= B2DPoint((3.0 * aControlEdgeEnd - aEdgeEnd) / 2.0);
bIsQuadraticBezier = aLeft.equal(aRight);
}
if(bIsQuadraticBezier)
{
// approximately equal, export as quadratic bezier
if(bSymmetricAtEdgeStart)
{
const sal_Unicode aCommand(lcl_getCommand('T', 't', bUseRelativeCoordinates));
if(aLastSVGCommand != aCommand)
{
aResult.append(aCommand);
aLastSVGCommand = aCommand;
}
lcl_putNumberCharWithSpace(aResult, aEdgeEnd.getX(), aCurrentSVGPosition.getX(), bUseRelativeCoordinates);
lcl_putNumberCharWithSpace(aResult, aEdgeEnd.getY(), aCurrentSVGPosition.getY(), bUseRelativeCoordinates);
aLastSVGCommand = aCommand;
aCurrentSVGPosition = aEdgeEnd;
}
else
{
const sal_Unicode aCommand(lcl_getCommand('Q', 'q', bUseRelativeCoordinates));
if(aLastSVGCommand != aCommand)
{
aResult.append(aCommand);
aLastSVGCommand = aCommand;
}
lcl_putNumberCharWithSpace(aResult, aLeft.getX(), aCurrentSVGPosition.getX(), bUseRelativeCoordinates);
lcl_putNumberCharWithSpace(aResult, aLeft.getY(), aCurrentSVGPosition.getY(), bUseRelativeCoordinates);
lcl_putNumberCharWithSpace(aResult, aEdgeEnd.getX(), aCurrentSVGPosition.getX(), bUseRelativeCoordinates);
lcl_putNumberCharWithSpace(aResult, aEdgeEnd.getY(), aCurrentSVGPosition.getY(), bUseRelativeCoordinates);
aLastSVGCommand = aCommand;
aCurrentSVGPosition = aEdgeEnd;
}
}
else
{
// export as cubic bezier
if(bSymmetricAtEdgeStart)
{
const sal_Unicode aCommand(lcl_getCommand('S', 's', bUseRelativeCoordinates));
if(aLastSVGCommand != aCommand)
{
aResult.append(aCommand);
aLastSVGCommand = aCommand;
}
lcl_putNumberCharWithSpace(aResult, aControlEdgeEnd.getX(), aCurrentSVGPosition.getX(), bUseRelativeCoordinates);
lcl_putNumberCharWithSpace(aResult, aControlEdgeEnd.getY(), aCurrentSVGPosition.getY(), bUseRelativeCoordinates);
lcl_putNumberCharWithSpace(aResult, aEdgeEnd.getX(), aCurrentSVGPosition.getX(), bUseRelativeCoordinates);
lcl_putNumberCharWithSpace(aResult, aEdgeEnd.getY(), aCurrentSVGPosition.getY(), bUseRelativeCoordinates);
aLastSVGCommand = aCommand;
aCurrentSVGPosition = aEdgeEnd;
}
else
{
const sal_Unicode aCommand(lcl_getCommand('C', 'c', bUseRelativeCoordinates));
if(aLastSVGCommand != aCommand)
{
aResult.append(aCommand);
aLastSVGCommand = aCommand;
}
lcl_putNumberCharWithSpace(aResult, aControlEdgeStart.getX(), aCurrentSVGPosition.getX(), bUseRelativeCoordinates);
lcl_putNumberCharWithSpace(aResult, aControlEdgeStart.getY(), aCurrentSVGPosition.getY(), bUseRelativeCoordinates);
lcl_putNumberCharWithSpace(aResult, aControlEdgeEnd.getX(), aCurrentSVGPosition.getX(), bUseRelativeCoordinates);
lcl_putNumberCharWithSpace(aResult, aControlEdgeEnd.getY(), aCurrentSVGPosition.getY(), bUseRelativeCoordinates);
lcl_putNumberCharWithSpace(aResult, aEdgeEnd.getX(), aCurrentSVGPosition.getX(), bUseRelativeCoordinates);
lcl_putNumberCharWithSpace(aResult, aEdgeEnd.getY(), aCurrentSVGPosition.getY(), bUseRelativeCoordinates);
aLastSVGCommand = aCommand;
aCurrentSVGPosition = aEdgeEnd;
}
}
}
else
{
// straight edge
if(0 == nNextIndex)
{
// it's a closed polygon's last edge and it's not a bezier edge, so there is
// no need to write it
}
else
{
const bool bXEqual(aEdgeStart.getX() == aEdgeEnd.getX());
const bool bYEqual(aEdgeStart.getY() == aEdgeEnd.getY());
if(bXEqual && bYEqual)
{
// point is a double point; do not export at all
}
else if(bXEqual)
{
// export as vertical line
const sal_Unicode aCommand(lcl_getCommand('V', 'v', bUseRelativeCoordinates));
if(aLastSVGCommand != aCommand)
{
aResult.append(aCommand);
aLastSVGCommand = aCommand;
}
lcl_putNumberCharWithSpace(aResult, aEdgeEnd.getY(), aCurrentSVGPosition.getY(), bUseRelativeCoordinates);
aCurrentSVGPosition = aEdgeEnd;
}
else if(bYEqual)
{
// export as horizontal line
const sal_Unicode aCommand(lcl_getCommand('H', 'h', bUseRelativeCoordinates));
if(aLastSVGCommand != aCommand)
{
aResult.append(aCommand);
aLastSVGCommand = aCommand;
}
lcl_putNumberCharWithSpace(aResult, aEdgeEnd.getX(), aCurrentSVGPosition.getX(), bUseRelativeCoordinates);
aCurrentSVGPosition = aEdgeEnd;
}
else
{
// export as line
const sal_Unicode aCommand(lcl_getCommand('L', 'l', bUseRelativeCoordinates));
if(aLastSVGCommand != aCommand)
{
aResult.append(aCommand);
aLastSVGCommand = aCommand;
}
lcl_putNumberCharWithSpace(aResult, aEdgeEnd.getX(), aCurrentSVGPosition.getX(), bUseRelativeCoordinates);
lcl_putNumberCharWithSpace(aResult, aEdgeEnd.getY(), aCurrentSVGPosition.getY(), bUseRelativeCoordinates);
aCurrentSVGPosition = aEdgeEnd;
}
}
}
// prepare edge start for next loop step
aEdgeStart = aEdgeEnd;
}
// close path if closed poly (Z and z are equivalent here, but looks nicer when case is matched)
if(aPolygon.isClosed())
{
aResult.append(lcl_getCommand('Z', 'z', bUseRelativeCoordinates));
}
}
}
return aResult.makeStringAndClear();
}
}
}
// eof
/* vim:set shiftwidth=4 softtabstop=4 expandtab: */