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20 #ifndef INCLUDED_BASEGFX_POLYGON_B2DPOLYGONTOOLS_HXX
21 #define INCLUDED_BASEGFX_POLYGON_B2DPOLYGONTOOLS_HXX
23 #include <basegfx/point/b2dpoint.hxx>
24 #include <basegfx/vector/b2dvector.hxx>
25 #include <basegfx/range/b2drectangle.hxx>
26 #include <basegfx/polygon/b2dpolypolygon.hxx>
27 #include <basegfx/polygon/b3dpolygon.hxx>
28 #include <com/sun/star/drawing/PointSequence.hpp>
29 #include <com/sun/star/drawing/FlagSequence.hpp>
31 #include <basegfx/basegfxdllapi.h>
32 #include <o3tl/typed_flags_set.hxx>
35 // Definitions for the cut flags used from the findCut methods
36 enum class CutFlagValue
44 ALL
= LINE
|START1
|START2
|END1
|END2
,
45 DEFAULT
= LINE
|START2
|END2
,
49 template<> struct typed_flags
<CutFlagValue
> : is_typed_flags
<CutFlagValue
, 0x1f> {};
62 // open/close with point add/remove and control point corrections
63 BASEGFX_DLLPUBLIC
void openWithGeometryChange(B2DPolygon
& rCandidate
);
64 BASEGFX_DLLPUBLIC
void closeWithGeometryChange(B2DPolygon
& rCandidate
);
66 /** Check if given polygon is closed.
68 This is kind of a 'classic' method to support old polygon
69 definitions. Those old polygon definitions define the
70 closed state of the polygon using identical start and
71 endpoints. This method corrects this (removes double
72 start/end points) and sets the Closed()-state of the
75 BASEGFX_DLLPUBLIC
void checkClosed(B2DPolygon
& rCandidate
);
77 // Get successor and predecessor indices. Returning the same index means there
78 // is none. Same for successor.
79 BASEGFX_DLLPUBLIC sal_uInt32
getIndexOfPredecessor(sal_uInt32 nIndex
, const B2DPolygon
& rCandidate
);
80 BASEGFX_DLLPUBLIC sal_uInt32
getIndexOfSuccessor(sal_uInt32 nIndex
, const B2DPolygon
& rCandidate
);
82 // Get orientation of Polygon
83 BASEGFX_DLLPUBLIC B2VectorOrientation
getOrientation(const B2DPolygon
& rCandidate
);
85 // isInside tests for B2dPoint and other B2dPolygon. On border is not inside as long as
86 // not true is given in bWithBorder flag.
87 BASEGFX_DLLPUBLIC
bool isInside(const B2DPolygon
& rCandidate
, const B2DPoint
& rPoint
, bool bWithBorder
= false);
88 BASEGFX_DLLPUBLIC
bool isInside(const B2DPolygon
& rCandidate
, const B2DPolygon
& rPolygon
, bool bWithBorder
= false);
90 /** Get the range of a polygon
92 This method creates the outer range of the subdivided bezier curve.
93 For detailed discussion see B2DPolygon::getB2DRange()
96 The B2DPolygon possibly containing bezier segments
99 The outer range of the bezier curve
101 BASEGFX_DLLPUBLIC B2DRange
getRange(const B2DPolygon
& rCandidate
);
103 // get signed area of polygon
104 BASEGFX_DLLPUBLIC
double getSignedArea(const B2DPolygon
& rCandidate
);
106 // get area of polygon
107 BASEGFX_DLLPUBLIC
double getArea(const B2DPolygon
& rCandidate
);
109 /** get length of polygon edge from point nIndex to nIndex + 1 */
110 BASEGFX_DLLPUBLIC
double getEdgeLength(const B2DPolygon
& rCandidate
, sal_uInt32 nIndex
);
112 /** get length of polygon */
113 BASEGFX_DLLPUBLIC
double getLength(const B2DPolygon
& rCandidate
);
115 // get position on polygon for absolute given distance. If
116 // length is given, it is assumed the correct polygon length, if 0.0 it is calculated
117 // using getLength(...)
118 BASEGFX_DLLPUBLIC B2DPoint
getPositionAbsolute(const B2DPolygon
& rCandidate
, double fDistance
, double fLength
= 0.0);
120 // get position on polygon for relative given distance in range [0.0 .. 1.0]. If
121 // length is given, it is assumed the correct polygon length, if 0.0 it is calculated
122 // using getLength(...)
123 BASEGFX_DLLPUBLIC B2DPoint
getPositionRelative(const B2DPolygon
& rCandidate
, double fDistance
, double fLength
= 0.0);
125 // get a snippet from given polygon for absolute distances. The polygon is assumed
126 // to be opened (not closed). fFrom and fTo need to be in range [0.0 .. fLength], where
127 // fTo >= fFrom. If length is given, it is assumed the correct polygon length,
128 // if 0.0 it is calculated using getLength(...)
129 BASEGFX_DLLPUBLIC B2DPolygon
getSnippetAbsolute(const B2DPolygon
& rCandidate
, double fFrom
, double fTo
, double fLength
= 0.0);
131 // Continuity check for point with given index
132 BASEGFX_DLLPUBLIC B2VectorContinuity
getContinuityInPoint(const B2DPolygon
& rCandidate
, sal_uInt32 nIndex
);
134 // Subdivide all contained curves. Use distanceBound value if given.
135 BASEGFX_DLLPUBLIC B2DPolygon
adaptiveSubdivideByDistance(const B2DPolygon
& rCandidate
, double fDistanceBound
);
137 // Subdivide all contained curves. Use angleBound value if given.
138 BASEGFX_DLLPUBLIC B2DPolygon
adaptiveSubdivideByAngle(const B2DPolygon
& rCandidate
, double fAngleBound
= 0.0);
140 // This version works with two points and vectors to define the
141 // edges for the cut test.
142 BASEGFX_DLLPUBLIC CutFlagValue
findCut(
143 const B2DPoint
& rEdge1Start
, const B2DVector
& rEdge1Delta
,
144 const B2DPoint
& rEdge2Start
, const B2DVector
& rEdge2Delta
,
145 CutFlagValue aCutFlags
= CutFlagValue::DEFAULT
,
146 double* pCut1
= nullptr, double* pCut2
= nullptr);
148 // test if point is on the given edge in range ]0.0..1.0[ without
149 // the start/end points. If so, return true and put the parameter
150 // value in pCut (if provided)
151 BASEGFX_DLLPUBLIC
bool isPointOnEdge(
152 const B2DPoint
& rPoint
,
153 const B2DPoint
& rEdgeStart
,
154 const B2DVector
& rEdgeDelta
,
155 double* pCut
= nullptr);
157 /** Apply given LineDashing to given polygon
159 This method is used to cut down line polygons to the needed
160 pieces when a dashing needs to be applied.
161 It is now capable of keeping contained bezier segments.
162 It is also capable of delivering line and non-line portions
163 depending on what target polygons You provide. This is useful
164 e.g. for dashed lines with two colors.
165 If the last and the first snippet in one of the results have
166 a common start/end ppoint, they will be merged to achieve as
167 view as needed result line snippets. This is also relevant for
168 further processing the results.
171 The polygon based on which the snippets will be created.
174 The line pattern given as array of length values
177 The target for line snippets, e.g. the first entry will be
178 a line segment with length rDotDashArray[0]. The given
179 polygon will be emptied as preparation.
182 The target for gap snippets, e.g. the first entry will be
183 a line segment with length rDotDashArray[1]. The given
184 polygon will be emptied as preparation.
186 @param fFullDashDotLen
187 The summed-up length of the rDotDashArray. If zero, it will
188 be calculated internally.
190 BASEGFX_DLLPUBLIC
void applyLineDashing(
191 const B2DPolygon
& rCandidate
,
192 const ::std::vector
<double>& rDotDashArray
,
193 B2DPolyPolygon
* pLineTarget
,
194 B2DPolyPolygon
* pGapTarget
= nullptr,
195 double fFullDashDotLen
= 0.0);
197 // test if point is inside epsilon-range around an edge defined
198 // by the two given points. Can be used for HitTesting. The epsilon-range
199 // is defined to be the rectangle centered to the given edge, using height
200 // 2 x fDistance, and the circle around both points with radius fDistance.
201 BASEGFX_DLLPUBLIC
bool isInEpsilonRange(const B2DPoint
& rEdgeStart
, const B2DPoint
& rEdgeEnd
, const B2DPoint
& rTestPosition
, double fDistance
);
203 // test if point is inside epsilon-range around the given Polygon. Can be used
204 // for HitTesting. The epsilon-range is defined to be the rectangle centered
205 // to the given edge, using height 2 x fDistance, and the circle around both points
206 // with radius fDistance.
207 BASEGFX_DLLPUBLIC
bool isInEpsilonRange(const B2DPolygon
& rCandidate
, const B2DPoint
& rTestPosition
, double fDistance
);
209 /** Create a polygon from a rectangle.
212 The rectangle which describes the polygon size
216 Radius of the edge rounding, relative to the rectangle size. 0.0 means no
217 rounding, 1.0 will lead to an ellipse
219 BASEGFX_DLLPUBLIC B2DPolygon
createPolygonFromRect( const B2DRectangle
& rRect
, double fRadiusX
, double fRadiusY
);
221 /** Create a polygon from a rectangle.
223 BASEGFX_DLLPUBLIC B2DPolygon
createPolygonFromRect( const B2DRectangle
& rRect
);
225 /** Create the unit polygon
227 BASEGFX_DLLPUBLIC B2DPolygon
createUnitPolygon();
229 /** Create a circle polygon with given radius.
231 This method creates a circle approximation consisting of
232 four cubic bezier segments, which approximate the given
233 circle with an error of less than 0.5 percent.
236 Center point of the circle
241 BASEGFX_DLLPUBLIC B2DPolygon
createPolygonFromCircle( const B2DPoint
& rCenter
, double fRadius
);
243 /// create half circle centered on (0,0) from [0 .. F_PI]
244 B2DPolygon
createHalfUnitCircle();
246 /** create a polygon which describes the unit circle and close it
248 @param nStartQuadrant
249 To be able to rebuild the old behaviour where the circles started at bottom,
250 this parameter is used. Default is 0 which is the first quadrant and the
251 polygon's start point will be the rightmost one. When using e.g. 1, the
252 first created quadrant will start at the YMax-position (with Y down on screens,
253 this is the lowest one). This is needed since when lines are dashed, toe old
254 geometry started at bottom point, else it would look different.
256 BASEGFX_DLLPUBLIC B2DPolygon
createPolygonFromUnitCircle(sal_uInt32 nStartQuadrant
= 0);
258 /** Create an ellipse polygon with given radii.
260 This method creates an ellipse approximation consisting of
261 four cubic bezier segments, which approximate the given
262 ellipse with an error of less than 0.5 percent.
265 Center point of the circle
268 Radius of the ellipse in X direction
271 Radius of the ellipse in Y direction
273 BASEGFX_DLLPUBLIC B2DPolygon
createPolygonFromEllipse( const B2DPoint
& rCenter
, double fRadiusX
, double fRadiusY
);
275 /** Create an unit ellipse polygon with the given angles, from start to end
277 BASEGFX_DLLPUBLIC B2DPolygon
createPolygonFromEllipseSegment( const B2DPoint
& rCenter
, double fRadiusX
, double fRadiusY
, double fStart
, double fEnd
);
279 BASEGFX_DLLPUBLIC B2DPolygon
createPolygonFromUnitEllipseSegment( double fStart
, double fEnd
);
281 /** Predicate whether a given polygon is a rectangle.
286 @return true, if the polygon describes a rectangle
287 (polygon is closed, and the points are either cw or ccw
288 enumerations of a rectangle's vertices). Note that
289 intermediate points and duplicate points are ignored.
291 BASEGFX_DLLPUBLIC
bool isRectangle( const B2DPolygon
& rPoly
);
293 // create 3d polygon from given 2d polygon. The given fZCoordinate is used to expand the
295 BASEGFX_DLLPUBLIC B3DPolygon
createB3DPolygonFromB2DPolygon(const B2DPolygon
& rCandidate
, double fZCoordinate
= 0.0);
297 // create 2d tools::PolyPolygon from given 3d PolyPolygon. All coordinates are transformed using the given
298 // matrix and the resulting x,y is used to form the new polygon.
299 BASEGFX_DLLPUBLIC B2DPolygon
createB2DPolygonFromB3DPolygon(const B3DPolygon
& rCandidate
, const B3DHomMatrix
& rMat
);
301 // calculate the smallest distance to given edge and return. The relative position on the edge is returned in Cut.
302 // That position is in the range [0.0 .. 1.0] and the returned distance is adapted accordingly to the start or end
304 BASEGFX_DLLPUBLIC
double getSmallestDistancePointToEdge(const B2DPoint
& rPointA
, const B2DPoint
& rPointB
, const B2DPoint
& rTestPoint
, double& rCut
);
306 // for each contained edge calculate the smallest distance. Return the index to the smallest
307 // edge in rEdgeIndex. The relative position on the edge is returned in rCut.
308 // If nothing was found (e.g. empty input plygon), DBL_MAX is returned.
309 BASEGFX_DLLPUBLIC
double getSmallestDistancePointToPolygon(const B2DPolygon
& rCandidate
, const B2DPoint
& rTestPoint
, sal_uInt32
& rEdgeIndex
, double& rCut
);
311 // distort single point. rOriginal describes the original range, where the given points describe the distorted corresponding points.
312 BASEGFX_DLLPUBLIC B2DPoint
distort(const B2DPoint
& rCandidate
, const B2DRange
& rOriginal
, const B2DPoint
& rTopLeft
, const B2DPoint
& rTopRight
, const B2DPoint
& rBottomLeft
, const B2DPoint
& rBottomRight
);
314 // distort polygon. rOriginal describes the original range, where the given points describe the distorted corresponding points.
315 BASEGFX_DLLPUBLIC B2DPolygon
distort(const B2DPolygon
& rCandidate
, const B2DRange
& rOriginal
, const B2DPoint
& rTopLeft
, const B2DPoint
& rTopRight
, const B2DPoint
& rBottomLeft
, const B2DPoint
& rBottomRight
);
317 // expand all segments (which are not yet) to curve segments. This is done with setting the control
318 // vectors on the 1/3 resp. 2/3 distances on each segment.
319 BASEGFX_DLLPUBLIC B2DPolygon
expandToCurve(const B2DPolygon
& rCandidate
);
321 // expand given segment to curve segment. This is done with setting the control
322 // vectors on the 1/3 resp. 2/3 distances. The return value describes if a change took place.
323 BASEGFX_DLLPUBLIC
bool expandToCurveInPoint(B2DPolygon
& rCandidate
, sal_uInt32 nIndex
);
325 // set continuity for given index. If not a curve, nothing will change. Non-curve points are not changed, too.
326 // The return value describes if a change took place.
327 BASEGFX_DLLPUBLIC
bool setContinuityInPoint(B2DPolygon
& rCandidate
, sal_uInt32 nIndex
, B2VectorContinuity eContinuity
);
329 // test if polygon contains neutral points. A neutral point is one whos orientation is neutral
330 // e.g. positioned on the edge of its predecessor and successor
331 BASEGFX_DLLPUBLIC
bool hasNeutralPoints(const B2DPolygon
& rCandidate
);
333 // remove neutral points. A neutral point is one whos orientation is neutral
334 // e.g. positioned on the edge of its predecessor and successor
335 BASEGFX_DLLPUBLIC B2DPolygon
removeNeutralPoints(const B2DPolygon
& rCandidate
);
337 // tests if polygon is convex
338 BASEGFX_DLLPUBLIC
bool isConvex(const B2DPolygon
& rCandidate
);
340 // calculates the orientation at edge nIndex
341 BASEGFX_DLLPUBLIC B2VectorOrientation
getOrientationForIndex(const B2DPolygon
& rCandidate
, sal_uInt32 nIndex
);
343 // calculates if given point is on given line, taking care of the numerical epsilon
344 BASEGFX_DLLPUBLIC
bool isPointOnLine(const B2DPoint
& rStart
, const B2DPoint
& rEnd
, const B2DPoint
& rCandidate
, bool bWithPoints
);
346 // calculates if given point is on given polygon, taking care of the numerical epsilon. Uses
347 // isPointOnLine internally
348 BASEGFX_DLLPUBLIC
bool isPointOnPolygon(const B2DPolygon
& rCandidate
, const B2DPoint
& rPoint
, bool bWithPoints
= true);
350 // test if candidate is inside triangle
351 BASEGFX_DLLPUBLIC
bool isPointInTriangle(const B2DPoint
& rA
, const B2DPoint
& rB
, const B2DPoint
& rC
, const B2DPoint
& rCandidate
, bool bWithBorder
);
353 // test if candidateA and candidateB are on the same side of the given line
354 BASEGFX_DLLPUBLIC
bool arePointsOnSameSideOfLine(const B2DPoint
& rStart
, const B2DPoint
& rEnd
, const B2DPoint
& rCandidateA
, const B2DPoint
& rCandidateB
, bool bWithLine
);
356 // add triangles for given rCandidate to rTarget. For each triangle, 3 points will be added to rCandidate.
357 // All triangles will go from the start point of rCandidate to two consecutive points, building (rCandidate.count() - 2)
359 BASEGFX_DLLPUBLIC
void addTriangleFan(const B2DPolygon
& rCandidate
, B2DPolygon
& rTarget
);
361 // grow for polygon. Move all geometry in each point in the direction of the normal in that point
362 // with the given amount. Value may be negative.
363 BASEGFX_DLLPUBLIC B2DPolygon
growInNormalDirection(const B2DPolygon
& rCandidate
, double fValue
);
365 // force all sub-polygons to a point count of nSegments
366 BASEGFX_DLLPUBLIC B2DPolygon
reSegmentPolygon(const B2DPolygon
& rCandidate
, sal_uInt32 nSegments
);
368 // create polygon state at t from 0.0 to 1.0 between the two polygons. Both polygons must have the same
369 // organisation, e.g. same amount of points
370 BASEGFX_DLLPUBLIC B2DPolygon
interpolate(const B2DPolygon
& rOld1
, const B2DPolygon
& rOld2
, double t
);
372 // #i76891# Try to remove existing curve segments if they are simply edges
373 BASEGFX_DLLPUBLIC B2DPolygon
simplifyCurveSegments(const B2DPolygon
& rCandidate
);
375 // makes the given indexed point the new polygon start point. To do that, the points in the
376 // polygon will be rotated. This is only valid for closed polygons, for non-closed ones
377 // an assertion will be triggered
378 BASEGFX_DLLPUBLIC B2DPolygon
makeStartPoint(const B2DPolygon
& rCandidate
, sal_uInt32 nIndexOfNewStatPoint
);
380 /** create edges of given length along given B2DPolygon
383 The polygon to move along. Points at the given polygon are created, starting
384 at position fStart and stopping at less or equal to fEnd. The closed state is
386 The polygon is subdivided if curve segments are included. That subdivision is the base
387 for the newly created points.
388 If the source is closed, the indirectly existing last edge may NOT have the
390 If the source is open, all edges will have the given length. You may use the last
391 point of the original when You want to add the last edge Yourself.
394 The length of the created edges. If less or equal zero, an empty polygon is returned.
397 The start distance for the first to be generated point. Use 0.0 to get the
398 original start point. Negative values are truncated to 0.0.
401 The maximum distance for the last point. No more points behind this distance will be created.
402 Use 0.0 to process the whole polygon. Negative values are truncated to 0.0. It also
403 needs to be more or equal to fStart, else it is truncated to fStart.
406 The newly created polygon
408 BASEGFX_DLLPUBLIC B2DPolygon
createEdgesOfGivenLength(const B2DPolygon
& rCandidate
, double fLength
, double fStart
= 0.0, double fEnd
= 0.0);
410 /** Create Waveline along given polygon
411 The implementation is based on createEdgesOfGivenLength and creates a curve
412 segment with the given dimensions for each created line segment. The polygon
413 is treated as if opened (closed state will be ignored) and only for whole
414 edges a curve segment will be created (no rest handling)
417 The polygon along which the waveline will be created
420 The length of a single waveline curve segment
423 The height of the waveline (amplitude)
425 BASEGFX_DLLPUBLIC B2DPolygon
createWaveline(const B2DPolygon
& rCandidate
, double fWaveWidth
, double fWaveHeight
);
427 /** snap some polygon coordinates to discrete coordinates
429 This method allows to snap some polygon points to discrete (integer) values
430 which equals e.g. a snap to discrete coordinates. It will snap points of
431 horizontal and vertical edges
437 The modified version of the source polygon
439 BASEGFX_DLLPUBLIC B2DPolygon
snapPointsOfHorizontalOrVerticalEdges(const B2DPolygon
& rCandidate
);
441 /// get the tangent with which the given point is entered seen from the previous
442 /// polygon path data. Take into account all stuff like closed state, zero-length edges and others.
443 BASEGFX_DLLPUBLIC B2DVector
getTangentEnteringPoint(const B2DPolygon
& rCandidate
, sal_uInt32 nIndex
);
445 /// get the tangent with which the given point is left seen from the following
446 /// polygon path data. Take into account all stuff like closed state, zero-length edges and others.
447 BASEGFX_DLLPUBLIC B2DVector
getTangentLeavingPoint(const B2DPolygon
& rCandidate
, sal_uInt32 nIndex
);
449 /// converters for css::drawing::PointSequence
450 BASEGFX_DLLPUBLIC B2DPolygon
UnoPointSequenceToB2DPolygon(
451 const css::drawing::PointSequence
& rPointSequenceSource
,
452 bool bCheckClosed
= true);
453 BASEGFX_DLLPUBLIC
void B2DPolygonToUnoPointSequence(
454 const B2DPolygon
& rPolygon
,
455 css::drawing::PointSequence
& rPointSequenceRetval
);
457 /* converters for css::drawing::PointSequence and
458 css::drawing::FlagSequence to B2DPolygon (curved polygons)
460 B2DPolygon
UnoPolygonBezierCoordsToB2DPolygon(
461 const css::drawing::PointSequence
& rPointSequenceSource
,
462 const css::drawing::FlagSequence
& rFlagSequenceSource
,
464 void B2DPolygonToUnoPolygonBezierCoords(
465 const B2DPolygon
& rPolyPolygon
,
466 css::drawing::PointSequence
& rPointSequenceRetval
,
467 css::drawing::FlagSequence
& rFlagSequenceRetval
);
469 /** Read poly-polygon from SVG.
471 This function imports a poly-polygon from an SVG points
472 attribute (a plain list of coordinate pairs).
475 The output polygon. Note that svg:points can only define a
478 @param rSvgPointsAttribute
479 A valid SVG points attribute string
481 @return true, if the string was successfully parsed
483 BASEGFX_DLLPUBLIC
bool importFromSvgPoints( B2DPolygon
& o_rPoly
,
484 const OUString
& rSvgPointsAttribute
);
486 /** Write poly-polygon to SVG.
488 This function imports a non-bezier polygon to SVG points
489 (a plain list of coordinate pairs).
492 The polygon to export
494 @param rSvgPointsAttribute
495 A valid SVG points attribute string
497 @return true, if the string was successfully parsed
499 BASEGFX_DLLPUBLIC OUString
exportToSvgPoints( const B2DPolygon
& rPoly
);
501 } // end of namespace tools
502 } // end of namespace basegfx
504 #endif // INCLUDED_BASEGFX_POLYGON_B2DPOLYGONTOOLS_HXX
506 /* vim:set shiftwidth=4 softtabstop=4 expandtab: */