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20 #ifndef _BGFX_POLYGON_B2DPOLYGONTOOLS_HXX
21 #define _BGFX_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 <vector>
29 #include <basegfx/basegfxdllapi.h>
31 //////////////////////////////////////////////////////////////////////////////
33 namespace basegfx
35 // predefinitions
36 class B2DPolygon;
37 class B2DRange;
39 namespace tools
41 // B2DPolygon tools
43 // open/close with point add/remove and control point corrections
44 BASEGFX_DLLPUBLIC void openWithGeometryChange(B2DPolygon& rCandidate);
45 BASEGFX_DLLPUBLIC void closeWithGeometryChange(B2DPolygon& rCandidate);
47 /** Check if given polygon is closed.
49 This is kind of a 'classic' method to support old polygon
50 definitions. Those old polygon definitions define the
51 closed state of the polygon using identical start and
52 endpoints. This method corrects this (removes double
53 start/end points) and sets the Closed()-state of the
54 polygon correctly.
56 BASEGFX_DLLPUBLIC void checkClosed(B2DPolygon& rCandidate);
58 // Get successor and predecessor indices. Returning the same index means there
59 // is none. Same for successor.
60 BASEGFX_DLLPUBLIC sal_uInt32 getIndexOfPredecessor(sal_uInt32 nIndex, const B2DPolygon& rCandidate);
61 BASEGFX_DLLPUBLIC sal_uInt32 getIndexOfSuccessor(sal_uInt32 nIndex, const B2DPolygon& rCandidate);
63 // Get orientation of Polygon
64 BASEGFX_DLLPUBLIC B2VectorOrientation getOrientation(const B2DPolygon& rCandidate);
66 // isInside tests for B2dPoint and other B2dPolygon. On border is not inside as long as
67 // not true is given in bWithBorder flag.
68 BASEGFX_DLLPUBLIC bool isInside(const B2DPolygon& rCandidate, const B2DPoint& rPoint, bool bWithBorder = false);
69 BASEGFX_DLLPUBLIC bool isInside(const B2DPolygon& rCandidate, const B2DPolygon& rPolygon, bool bWithBorder = false);
71 /** Get the range of a polygon
73 This method creates the outer range of the subdivided bezier curve.
74 For detailed discussion see B2DPolygon::getB2DRange()
76 @param rCandidate
77 The B2DPolygon eventually containing bezier segments
79 @return
80 The outer range of the bezier curve
82 BASEGFX_DLLPUBLIC B2DRange getRange(const B2DPolygon& rCandidate);
84 // get signed area of polygon
85 BASEGFX_DLLPUBLIC double getSignedArea(const B2DPolygon& rCandidate);
87 // get area of polygon
88 BASEGFX_DLLPUBLIC double getArea(const B2DPolygon& rCandidate);
90 /** get length of polygon edge from point nIndex to nIndex + 1 */
91 BASEGFX_DLLPUBLIC double getEdgeLength(const B2DPolygon& rCandidate, sal_uInt32 nIndex);
93 /** get length of polygon */
94 BASEGFX_DLLPUBLIC double getLength(const B2DPolygon& rCandidate);
96 // get position on polygon for absolute given distance. If
97 // length is given, it is assumed the correct polygon length, if 0.0 it is calculated
98 // using getLength(...)
99 BASEGFX_DLLPUBLIC B2DPoint getPositionAbsolute(const B2DPolygon& rCandidate, double fDistance, double fLength = 0.0);
101 // get position on polygon for relative given distance in range [0.0 .. 1.0]. If
102 // length is given, it is assumed the correct polygon length, if 0.0 it is calculated
103 // using getLength(...)
104 BASEGFX_DLLPUBLIC B2DPoint getPositionRelative(const B2DPolygon& rCandidate, double fDistance, double fLength = 0.0);
106 // get a snippet from given polygon for absolute distances. The polygon is assumed
107 // to be opened (not closed). fFrom and fTo need to be in range [0.0 .. fLength], where
108 // fTo >= fFrom. If length is given, it is assumed the correct polygon length,
109 // if 0.0 it is calculated using getLength(...)
110 BASEGFX_DLLPUBLIC B2DPolygon getSnippetAbsolute(const B2DPolygon& rCandidate, double fFrom, double fTo, double fLength = 0.0);
112 // Continuity check for point with given index
113 BASEGFX_DLLPUBLIC B2VectorContinuity getContinuityInPoint(const B2DPolygon& rCandidate, sal_uInt32 nIndex);
115 // Subdivide all contained curves. Use distanceBound value if given.
116 BASEGFX_DLLPUBLIC B2DPolygon adaptiveSubdivideByDistance(const B2DPolygon& rCandidate, double fDistanceBound = 0.0);
118 // Subdivide all contained curves. Use angleBound value if given.
119 BASEGFX_DLLPUBLIC B2DPolygon adaptiveSubdivideByAngle(const B2DPolygon& rCandidate, double fAngleBound = 0.0);
121 // #i37443# Subdivide all contained curves.
122 BASEGFX_DLLPUBLIC B2DPolygon adaptiveSubdivideByCount(const B2DPolygon& rCandidate, sal_uInt32 nCount = 0L);
124 // Definitions for the cut flags used from the findCut methods
125 typedef sal_uInt16 CutFlagValue;
127 #define CUTFLAG_NONE (0x0000)
128 #define CUTFLAG_LINE (0x0001)
129 #define CUTFLAG_START1 (0x0002)
130 #define CUTFLAG_START2 (0x0004)
131 #define CUTFLAG_END1 (0x0008)
132 #define CUTFLAG_END2 (0x0010)
133 #define CUTFLAG_ALL (CUTFLAG_LINE|CUTFLAG_START1|CUTFLAG_START2|CUTFLAG_END1|CUTFLAG_END2)
134 #define CUTFLAG_DEFAULT (CUTFLAG_LINE|CUTFLAG_START2|CUTFLAG_END2)
136 // This version works with two points and vectors to define the
137 // edges for the cut test.
138 BASEGFX_DLLPUBLIC CutFlagValue findCut(
139 const B2DPoint& rEdge1Start, const B2DVector& rEdge1Delta,
140 const B2DPoint& rEdge2Start, const B2DVector& rEdge2Delta,
141 CutFlagValue aCutFlags = CUTFLAG_DEFAULT,
142 double* pCut1 = 0L, double* pCut2 = 0L);
144 // test if point is on the given edge in range ]0.0..1.0[ without
145 // the start/end points. If so, return true and put the parameter
146 // value in pCut (if provided)
147 BASEGFX_DLLPUBLIC bool isPointOnEdge(
148 const B2DPoint& rPoint,
149 const B2DPoint& rEdgeStart,
150 const B2DVector& rEdgeDelta,
151 double* pCut = 0L);
153 /** Apply given LineDashing to given polygon
155 This method is used to cut down line polygons to the needed
156 pieces when a dashing needs to be applied.
157 It is now capable of keeping contained bezier segments.
158 It is also capable of delivering line and non-line portions
159 depending on what target polygons You provide. This is useful
160 e.g. for dashed lines with two colors.
161 If the last and the first snippet in one of the results have
162 a common start/end ppoint, they will be merged to achieve as
163 view as needed result line snippets. This is also relevant for
164 further processing the results.
166 @param rCandidate
167 The polygon based on which the snippets will be created.
169 @param rDotDashArray
170 The line pattern given as array of length values
172 @param pLineTarget
173 The target for line snippets, e.g. the first entry will be
174 a line segment with length rDotDashArray[0]. The given
175 polygon will be emptied as preparation.
177 @param pGapTarget
178 The target for gap snippets, e.g. the first entry will be
179 a line segment with length rDotDashArray[1]. The given
180 polygon will be emptied as preparation.
182 @param fFullDashDotLen
183 The sumed-up length of the rDotDashArray. If zero, it will
184 be calculated internally.
186 BASEGFX_DLLPUBLIC void applyLineDashing(
187 const B2DPolygon& rCandidate,
188 const ::std::vector<double>& rDotDashArray,
189 B2DPolyPolygon* pLineTarget,
190 B2DPolyPolygon* pGapTarget = 0,
191 double fFullDashDotLen = 0.0);
193 // test if point is inside epsilon-range around an edge defined
194 // by the two given points. Can be used for HitTesting. The epsilon-range
195 // is defined to be the rectangle centered to the given edge, using height
196 // 2 x fDistance, and the circle around both points with radius fDistance.
197 BASEGFX_DLLPUBLIC bool isInEpsilonRange(const B2DPoint& rEdgeStart, const B2DPoint& rEdgeEnd, const B2DPoint& rTestPosition, double fDistance);
199 // test if point is inside epsilon-range around the given Polygon. Can be used
200 // for HitTesting. The epsilon-range is defined to be the rectangle centered
201 // to the given edge, using height 2 x fDistance, and the circle around both points
202 // with radius fDistance.
203 BASEGFX_DLLPUBLIC bool isInEpsilonRange(const B2DPolygon& rCandidate, const B2DPoint& rTestPosition, double fDistance);
205 /** Create a polygon from a rectangle.
207 @param rRect
208 The rectangle which describes the polygon size
210 @param fRadiusX
211 @param fRadiusY
212 Radius of the edge rounding, relative to the rectangle size. 0.0 means no
213 rounding, 1.0 will lead to an ellipse
215 BASEGFX_DLLPUBLIC B2DPolygon createPolygonFromRect( const B2DRectangle& rRect, double fRadiusX, double fRadiusY );
217 /** Create a polygon from a rectangle.
219 BASEGFX_DLLPUBLIC B2DPolygon createPolygonFromRect( const B2DRectangle& rRect );
221 /** Create the unit polygon
223 BASEGFX_DLLPUBLIC B2DPolygon createUnitPolygon();
225 /** Create a circle polygon with given radius.
227 This method creates a circle approximation consisting of
228 four cubic bezier segments, which approximate the given
229 circle with an error of less than 0.5 percent.
231 @param rCenter
232 Center point of the circle
234 @param fRadius
235 Radius of the circle
237 BASEGFX_DLLPUBLIC B2DPolygon createPolygonFromCircle( const B2DPoint& rCenter, double fRadius );
239 /// create half circle centered on (0,0) from [0 .. F_PI]
240 B2DPolygon createHalfUnitCircle();
242 /** create a polygon which describes the unit circle and close it
244 @param nStartQuadrant
245 To be able to rebuild the old behaviour where the circles started at bottom,
246 this parameter is used. Default is 0 which is the first quadrant and the
247 polygon's start point will be the rightmost one. When using e.g. 1, the
248 first created quadrant will start at the YMax-position (with Y down on screens,
249 this is the lowest one). This is needed since when lines are dashed, toe old
250 geometry started at bottom point, else it would look different.
252 BASEGFX_DLLPUBLIC B2DPolygon createPolygonFromUnitCircle(sal_uInt32 nStartQuadrant = 0);
254 /** Create an ellipse polygon with given radii.
256 This method creates an ellipse approximation consisting of
257 four cubic bezier segments, which approximate the given
258 ellipse with an error of less than 0.5 percent.
260 @param rCenter
261 Center point of the circle
263 @param fRadiusX
264 Radius of the ellipse in X direction
266 @param fRadiusY
267 Radius of the ellipse in Y direction
269 BASEGFX_DLLPUBLIC B2DPolygon createPolygonFromEllipse( const B2DPoint& rCenter, double fRadiusX, double fRadiusY );
271 /** Create an unit ellipse polygon with the given angles, from start to end
273 BASEGFX_DLLPUBLIC B2DPolygon createPolygonFromEllipseSegment( const B2DPoint& rCenter, double fRadiusX, double fRadiusY, double fStart, double fEnd );
275 BASEGFX_DLLPUBLIC B2DPolygon createPolygonFromUnitEllipseSegment( double fStart, double fEnd );
277 /** Predicate whether a given polygon is a rectangle.
279 @param rPoly
280 Polygon to check
282 @return true, if the polygon describes a rectangle
283 (polygon is closed, and the points are either cw or ccw
284 enumerations of a rectangle's vertices). Note that
285 intermediate points and duplicate points are ignored.
287 BASEGFX_DLLPUBLIC bool isRectangle( const B2DPolygon& rPoly );
289 // create 3d polygon from given 2d polygon. The given fZCoordinate is used to expand the
290 // third coordinate.
291 BASEGFX_DLLPUBLIC B3DPolygon createB3DPolygonFromB2DPolygon(const B2DPolygon& rCandidate, double fZCoordinate = 0.0);
293 // create 2d PolyPolygon from given 3d PolyPolygon. All coordinates are transformed using the given
294 // matrix and the resulting x,y is used to form the new polygon.
295 BASEGFX_DLLPUBLIC B2DPolygon createB2DPolygonFromB3DPolygon(const B3DPolygon& rCandidate, const B3DHomMatrix& rMat);
297 // calculate the smallest distance to given edge and return. The relative position on the edge is returned in Cut.
298 // That position is in the range [0.0 .. 1.0] and the returned distance is adapted accordingly to the start or end
299 // point of the edge
300 BASEGFX_DLLPUBLIC double getSmallestDistancePointToEdge(const B2DPoint& rPointA, const B2DPoint& rPointB, const B2DPoint& rTestPoint, double& rCut);
302 // for each contained edge calculate the smallest distance. Return the index to the smallest
303 // edge in rEdgeIndex. The relative position on the edge is returned in rCut.
304 // If nothing was found (e.g. empty input plygon), DBL_MAX is returned.
305 BASEGFX_DLLPUBLIC double getSmallestDistancePointToPolygon(const B2DPolygon& rCandidate, const B2DPoint& rTestPoint, sal_uInt32& rEdgeIndex, double& rCut);
307 // distort single point. rOriginal describes the original range, where the given points describe the distorted corresponding points.
308 BASEGFX_DLLPUBLIC B2DPoint distort(const B2DPoint& rCandidate, const B2DRange& rOriginal, const B2DPoint& rTopLeft, const B2DPoint& rTopRight, const B2DPoint& rBottomLeft, const B2DPoint& rBottomRight);
310 // distort polygon. rOriginal describes the original range, where the given points describe the distorted corresponding points.
311 BASEGFX_DLLPUBLIC B2DPolygon distort(const B2DPolygon& rCandidate, const B2DRange& rOriginal, const B2DPoint& rTopLeft, const B2DPoint& rTopRight, const B2DPoint& rBottomLeft, const B2DPoint& rBottomRight);
313 // expand all segments (which are not yet) to curve segments. This is done with setting the control
314 // vectors on the 1/3 resp. 2/3 distances on each segment.
315 BASEGFX_DLLPUBLIC B2DPolygon expandToCurve(const B2DPolygon& rCandidate);
317 // expand given segment to curve segment. This is done with setting the control
318 // vectors on the 1/3 resp. 2/3 distances. The return value describes if a change took place.
319 BASEGFX_DLLPUBLIC bool expandToCurveInPoint(B2DPolygon& rCandidate, sal_uInt32 nIndex);
321 // set continuity for given index. If not a curve, nothing will change. Non-curve points are not changed, too.
322 // The return value describes if a change took place.
323 BASEGFX_DLLPUBLIC bool setContinuityInPoint(B2DPolygon& rCandidate, sal_uInt32 nIndex, B2VectorContinuity eContinuity);
325 // test if polygon contains neutral points. A neutral point is one whos orientation is neutral
326 // e.g. positioned on the edge of it's predecessor and successor
327 BASEGFX_DLLPUBLIC bool hasNeutralPoints(const B2DPolygon& rCandidate);
329 // remove neutral points. A neutral point is one whos orientation is neutral
330 // e.g. positioned on the edge of it's predecessor and successor
331 BASEGFX_DLLPUBLIC B2DPolygon removeNeutralPoints(const B2DPolygon& rCandidate);
333 // tests if polygon is convex
334 BASEGFX_DLLPUBLIC bool isConvex(const B2DPolygon& rCandidate);
336 // calculates the orientation at edge nIndex
337 BASEGFX_DLLPUBLIC B2VectorOrientation getOrientationForIndex(const B2DPolygon& rCandidate, sal_uInt32 nIndex);
339 // calculates if given point is on given line, taking care of the numerical epsilon
340 BASEGFX_DLLPUBLIC bool isPointOnLine(const B2DPoint& rStart, const B2DPoint& rEnd, const B2DPoint& rCandidate, bool bWithPoints = false);
342 // calculates if given point is on given polygon, taking care of the numerical epsilon. Uses
343 // isPointOnLine internally
344 BASEGFX_DLLPUBLIC bool isPointOnPolygon(const B2DPolygon& rCandidate, const B2DPoint& rPoint, bool bWithPoints = true);
346 // test if candidate is inside triangle
347 BASEGFX_DLLPUBLIC bool isPointInTriangle(const B2DPoint& rA, const B2DPoint& rB, const B2DPoint& rC, const B2DPoint& rCandidate, bool bWithBorder = false);
349 // test if candidateA and candidateB are on the same side of the given line
350 BASEGFX_DLLPUBLIC bool arePointsOnSameSideOfLine(const B2DPoint& rStart, const B2DPoint& rEnd, const B2DPoint& rCandidateA, const B2DPoint& rCandidateB, bool bWithLine = false);
352 // add triangles for given rCandidate to rTarget. For each triangle, 3 points will be added to rCandidate.
353 // All triangles will go from the start point of rCandidate to two consecutive points, building (rCandidate.count() - 2)
354 // triangles.
355 BASEGFX_DLLPUBLIC void addTriangleFan(const B2DPolygon& rCandidate, B2DPolygon& rTarget);
357 // grow for polygon. Move all geometry in each point in the direction of the normal in that point
358 // with the given amount. Value may be negative.
359 BASEGFX_DLLPUBLIC B2DPolygon growInNormalDirection(const B2DPolygon& rCandidate, double fValue);
361 // force all sub-polygons to a point count of nSegments
362 BASEGFX_DLLPUBLIC B2DPolygon reSegmentPolygon(const B2DPolygon& rCandidate, sal_uInt32 nSegments);
364 // create polygon state at t from 0.0 to 1.0 between the two polygons. Both polygons must have the same
365 // organisation, e.g. same amount of points
366 BASEGFX_DLLPUBLIC B2DPolygon interpolate(const B2DPolygon& rOld1, const B2DPolygon& rOld2, double t);
368 // #i76891# Try to remove existing curve segments if they are simply edges
369 BASEGFX_DLLPUBLIC B2DPolygon simplifyCurveSegments(const B2DPolygon& rCandidate);
371 // makes the given indexed point the new polygon start point. To do that, the points in the
372 // polygon will be rotated. This is only valid for closed polygons, for non-closed ones
373 // an assertion will be triggered
374 BASEGFX_DLLPUBLIC B2DPolygon makeStartPoint(const B2DPolygon& rCandidate, sal_uInt32 nIndexOfNewStatPoint);
376 /** create edges of given length along given B2DPolygon
378 @param rCandidate
379 The polygon to move along. Points at the given polygon are created, starting
380 at position fStart and stopping at less or equal to fEnd. The closed state is
381 preserved.
382 The polygon is subdivided if curve segments are included. That subdivision is the base
383 for the newly created points.
384 If the source is closed, the indirectly existing last edge may NOT have the
385 given length.
386 If the source is open, all edges will have the given length. You may use the last
387 point of the original when You want to add the last edge Yourself.
389 @param fLength
390 The length of the created edges. If less or equal zero, an empty polygon is returned.
392 @param fStart
393 The start distance for the first to be generated point. Use 0.0 to get the
394 original start point. Negative values are truncated to 0.0.
396 @param fEnd
397 The maximum distance for the last point. No more points behind this distance will be created.
398 Use 0.0 to proccess the whole polygon. Negative values are truncated to 0.0. It also
399 needs to be more or equal to fStart, else it is truncated to fStart.
401 @return
402 The newly created polygon
404 BASEGFX_DLLPUBLIC B2DPolygon createEdgesOfGivenLength(const B2DPolygon& rCandidate, double fLength, double fStart = 0.0, double fEnd = 0.0);
406 /** Create Waveline along given polygon
407 The implementation is based on createEdgesOfGivenLength and creates a curve
408 segment with the given dimensions for each created line segment. The polygon
409 is treated as if opened (closed state will be ignored) and only for whole
410 edges a curve segment will be created (no rest handling)
412 @param rCandidate
413 The polygon along which the waveline will be created
415 @param fWaveWidth
416 The length of a single waveline curve segment
418 @param fgWaveHeight
419 The height of the waveline (amplitude)
421 BASEGFX_DLLPUBLIC B2DPolygon createWaveline(const B2DPolygon& rCandidate, double fWaveWidth, double fWaveHeight);
423 /** snap some polygon coordinates to discrete coordinates
425 This method allows to snap some polygon points to discrete (integer) values
426 which equals e.g. a snap to discrete coordinates. It will snap points of
427 horizontal and vertical edges
429 @param rCandidate
430 The source polygon
432 @return
433 The modified version of the source polygon
435 BASEGFX_DLLPUBLIC B2DPolygon snapPointsOfHorizontalOrVerticalEdges(const B2DPolygon& rCandidate);
437 } // end of namespace tools
438 } // end of namespace basegfx
440 #endif /* _BGFX_POLYGON_B2DPOLYGONTOOLS_HXX */
442 /* vim:set shiftwidth=4 softtabstop=4 expandtab: */