xref: /AOO41X/main/basegfx/source/tools/gradienttools.cxx (revision 09dbbe930366fe6f99ae3b8ae1cf8690b638dbda)
1*09dbbe93SAndrew Rist /**************************************************************
2cdf0e10cSrcweir  *
3*09dbbe93SAndrew Rist  * Licensed to the Apache Software Foundation (ASF) under one
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7*09dbbe93SAndrew Rist  * to you under the Apache License, Version 2.0 (the
8*09dbbe93SAndrew Rist  * "License"); you may not use this file except in compliance
9*09dbbe93SAndrew Rist  * with the License.  You may obtain a copy of the License at
10cdf0e10cSrcweir  *
11*09dbbe93SAndrew Rist  *   http://www.apache.org/licenses/LICENSE-2.0
12cdf0e10cSrcweir  *
13*09dbbe93SAndrew Rist  * Unless required by applicable law or agreed to in writing,
14*09dbbe93SAndrew Rist  * software distributed under the License is distributed on an
15*09dbbe93SAndrew Rist  * "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY
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19cdf0e10cSrcweir  *
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21*09dbbe93SAndrew Rist 
22*09dbbe93SAndrew Rist 
23cdf0e10cSrcweir 
24cdf0e10cSrcweir // MARKER(update_precomp.py): autogen include statement, do not remove
25cdf0e10cSrcweir #include "precompiled_basegfx.hxx"
26cdf0e10cSrcweir 
27cdf0e10cSrcweir #include <basegfx/tools/gradienttools.hxx>
28cdf0e10cSrcweir #include <basegfx/point/b2dpoint.hxx>
29cdf0e10cSrcweir #include <basegfx/range/b2drange.hxx>
30cdf0e10cSrcweir #include <basegfx/matrix/b2dhommatrixtools.hxx>
31cdf0e10cSrcweir 
32cdf0e10cSrcweir namespace basegfx
33cdf0e10cSrcweir {
34cdf0e10cSrcweir     /** Most of the setup for linear & axial gradient is the same, except
35cdf0e10cSrcweir         for the border treatment. Factored out here.
36cdf0e10cSrcweir     */
37cdf0e10cSrcweir     static void init1DGradientInfo(ODFGradientInfo& o_rGradientInfo,
38cdf0e10cSrcweir                                    const B2DRange&  rTargetRange,
39cdf0e10cSrcweir                                    sal_uInt32       nSteps,
40cdf0e10cSrcweir                                    double           fBorder,
41cdf0e10cSrcweir                                    double           fAngle,
42cdf0e10cSrcweir                                    bool             bAxial)
43cdf0e10cSrcweir     {
44cdf0e10cSrcweir         o_rGradientInfo.maTextureTransform.identity();
45cdf0e10cSrcweir         o_rGradientInfo.maBackTextureTransform.identity();
46cdf0e10cSrcweir         o_rGradientInfo.mnSteps = nSteps;
47cdf0e10cSrcweir 
48cdf0e10cSrcweir         fAngle = -fAngle;
49cdf0e10cSrcweir 
50cdf0e10cSrcweir         double fTargetSizeX(rTargetRange.getWidth());
51cdf0e10cSrcweir         double fTargetSizeY(rTargetRange.getHeight());
52cdf0e10cSrcweir         double fTargetOffsetX(rTargetRange.getMinX());
53cdf0e10cSrcweir         double fTargetOffsetY(rTargetRange.getMinY());
54cdf0e10cSrcweir 
55cdf0e10cSrcweir         // add object expansion
56cdf0e10cSrcweir         if(0.0 != fAngle)
57cdf0e10cSrcweir         {
58cdf0e10cSrcweir             const double fAbsCos(fabs(cos(fAngle)));
59cdf0e10cSrcweir             const double fAbsSin(fabs(sin(fAngle)));
60cdf0e10cSrcweir             const double fNewX(fTargetSizeX * fAbsCos + fTargetSizeY * fAbsSin);
61cdf0e10cSrcweir             const double fNewY(fTargetSizeY * fAbsCos + fTargetSizeX * fAbsSin);
62cdf0e10cSrcweir             fTargetOffsetX -= (fNewX - fTargetSizeX) / 2.0;
63cdf0e10cSrcweir             fTargetOffsetY -= (fNewY - fTargetSizeY) / 2.0;
64cdf0e10cSrcweir             fTargetSizeX = fNewX;
65cdf0e10cSrcweir             fTargetSizeY = fNewY;
66cdf0e10cSrcweir         }
67cdf0e10cSrcweir 
68cdf0e10cSrcweir         const double fSizeWithoutBorder=1.0 - fBorder;
69cdf0e10cSrcweir         if( bAxial )
70cdf0e10cSrcweir         {
71cdf0e10cSrcweir             o_rGradientInfo.maTextureTransform.scale(1.0, fSizeWithoutBorder * .5);
72cdf0e10cSrcweir             o_rGradientInfo.maTextureTransform.translate(0.0, 0.5);
73cdf0e10cSrcweir         }
74cdf0e10cSrcweir         else
75cdf0e10cSrcweir         {
76cdf0e10cSrcweir             if(!fTools::equal(fSizeWithoutBorder, 1.0))
77cdf0e10cSrcweir             {
78cdf0e10cSrcweir                 o_rGradientInfo.maTextureTransform.scale(1.0, fSizeWithoutBorder);
79cdf0e10cSrcweir                 o_rGradientInfo.maTextureTransform.translate(0.0, fBorder);
80cdf0e10cSrcweir             }
81cdf0e10cSrcweir         }
82cdf0e10cSrcweir 
83cdf0e10cSrcweir         o_rGradientInfo.maTextureTransform.scale(fTargetSizeX, fTargetSizeY);
84cdf0e10cSrcweir 
85cdf0e10cSrcweir         // add texture rotate after scale to keep perpendicular angles
86cdf0e10cSrcweir         if(0.0 != fAngle)
87cdf0e10cSrcweir         {
88cdf0e10cSrcweir             const B2DPoint aCenter(0.5*fTargetSizeX,
89cdf0e10cSrcweir                                    0.5*fTargetSizeY);
90cdf0e10cSrcweir             o_rGradientInfo.maTextureTransform *=
91cdf0e10cSrcweir                 basegfx::tools::createRotateAroundPoint(aCenter, fAngle);
92cdf0e10cSrcweir         }
93cdf0e10cSrcweir 
94cdf0e10cSrcweir         // add object translate
95cdf0e10cSrcweir         o_rGradientInfo.maTextureTransform.translate(fTargetOffsetX, fTargetOffsetY);
96cdf0e10cSrcweir 
97cdf0e10cSrcweir         // prepare aspect for texture
98cdf0e10cSrcweir         o_rGradientInfo.mfAspectRatio = (0.0 != fTargetSizeY) ?  fTargetSizeX / fTargetSizeY : 1.0;
99cdf0e10cSrcweir 
100cdf0e10cSrcweir         // build transform from u,v to [0.0 .. 1.0].
101cdf0e10cSrcweir         o_rGradientInfo.maBackTextureTransform = o_rGradientInfo.maTextureTransform;
102cdf0e10cSrcweir         o_rGradientInfo.maBackTextureTransform.invert();
103cdf0e10cSrcweir     }
104cdf0e10cSrcweir 
105cdf0e10cSrcweir     /** Most of the setup for radial & ellipsoidal gradient is the same,
106cdf0e10cSrcweir         except for the border treatment. Factored out here.
107cdf0e10cSrcweir     */
108cdf0e10cSrcweir     static void initEllipticalGradientInfo(ODFGradientInfo& o_rGradientInfo,
109cdf0e10cSrcweir                                            const B2DRange&  rTargetRange,
110cdf0e10cSrcweir                                            const B2DVector& rOffset,
111cdf0e10cSrcweir                                            sal_uInt32       nSteps,
112cdf0e10cSrcweir                                            double           fBorder,
113cdf0e10cSrcweir                                            double           fAngle,
114cdf0e10cSrcweir                                            bool             bCircular)
115cdf0e10cSrcweir     {
116cdf0e10cSrcweir         o_rGradientInfo.maTextureTransform.identity();
117cdf0e10cSrcweir         o_rGradientInfo.maBackTextureTransform.identity();
118cdf0e10cSrcweir         o_rGradientInfo.mnSteps = nSteps;
119cdf0e10cSrcweir 
120cdf0e10cSrcweir         fAngle = -fAngle;
121cdf0e10cSrcweir 
122cdf0e10cSrcweir         double fTargetSizeX(rTargetRange.getWidth());
123cdf0e10cSrcweir         double fTargetSizeY(rTargetRange.getHeight());
124cdf0e10cSrcweir         double fTargetOffsetX(rTargetRange.getMinX());
125cdf0e10cSrcweir         double fTargetOffsetY(rTargetRange.getMinY());
126cdf0e10cSrcweir 
127cdf0e10cSrcweir         // add object expansion
128cdf0e10cSrcweir         if( bCircular )
129cdf0e10cSrcweir         {
130cdf0e10cSrcweir             const double fOriginalDiag(sqrt((fTargetSizeX * fTargetSizeX) + (fTargetSizeY * fTargetSizeY)));
131cdf0e10cSrcweir             fTargetOffsetX -= (fOriginalDiag - fTargetSizeX) / 2.0;
132cdf0e10cSrcweir             fTargetOffsetY -= (fOriginalDiag - fTargetSizeY) / 2.0;
133cdf0e10cSrcweir             fTargetSizeX = fOriginalDiag;
134cdf0e10cSrcweir             fTargetSizeY = fOriginalDiag;
135cdf0e10cSrcweir         }
136cdf0e10cSrcweir         else
137cdf0e10cSrcweir         {
138cdf0e10cSrcweir             fTargetOffsetX -= (0.4142 / 2.0 ) * fTargetSizeX;
139cdf0e10cSrcweir             fTargetOffsetY -= (0.4142 / 2.0 ) * fTargetSizeY;
140cdf0e10cSrcweir             fTargetSizeX = 1.4142 * fTargetSizeX;
141cdf0e10cSrcweir             fTargetSizeY = 1.4142 * fTargetSizeY;
142cdf0e10cSrcweir         }
143cdf0e10cSrcweir 
144cdf0e10cSrcweir         const double fHalfBorder((1.0 - fBorder) * 0.5);
145cdf0e10cSrcweir         o_rGradientInfo.maTextureTransform.scale(fHalfBorder, fHalfBorder);
146cdf0e10cSrcweir 
147cdf0e10cSrcweir         o_rGradientInfo.maTextureTransform.translate(0.5, 0.5);
148cdf0e10cSrcweir         o_rGradientInfo.maTextureTransform.scale(fTargetSizeX, fTargetSizeY);
149cdf0e10cSrcweir 
150cdf0e10cSrcweir         // add texture rotate after scale to keep perpendicular angles
151cdf0e10cSrcweir         if( !bCircular && 0.0 != fAngle)
152cdf0e10cSrcweir         {
153cdf0e10cSrcweir             const B2DPoint aCenter(0.5*fTargetSizeX,
154cdf0e10cSrcweir                                    0.5*fTargetSizeY);
155cdf0e10cSrcweir             o_rGradientInfo.maTextureTransform *=
156cdf0e10cSrcweir                 basegfx::tools::createRotateAroundPoint(aCenter, fAngle);
157cdf0e10cSrcweir         }
158cdf0e10cSrcweir 
159cdf0e10cSrcweir         // add defined offsets after rotation
160cdf0e10cSrcweir         if(0.5 != rOffset.getX() || 0.5 != rOffset.getY())
161cdf0e10cSrcweir         {
162cdf0e10cSrcweir             // use original target size
163cdf0e10cSrcweir             fTargetOffsetX += (rOffset.getX() - 0.5) * rTargetRange.getWidth();
164cdf0e10cSrcweir             fTargetOffsetY += (rOffset.getY() - 0.5) * rTargetRange.getHeight();
165cdf0e10cSrcweir         }
166cdf0e10cSrcweir 
167cdf0e10cSrcweir         // add object translate
168cdf0e10cSrcweir         o_rGradientInfo.maTextureTransform.translate(fTargetOffsetX, fTargetOffsetY);
169cdf0e10cSrcweir 
170cdf0e10cSrcweir         // prepare aspect for texture
171cdf0e10cSrcweir         o_rGradientInfo.mfAspectRatio = (0.0 != fTargetSizeY) ?  fTargetSizeX / fTargetSizeY : 1.0;
172cdf0e10cSrcweir 
173cdf0e10cSrcweir         // build transform from u,v to [0.0 .. 1.0].
174cdf0e10cSrcweir         o_rGradientInfo.maBackTextureTransform = o_rGradientInfo.maTextureTransform;
175cdf0e10cSrcweir         o_rGradientInfo.maBackTextureTransform.invert();
176cdf0e10cSrcweir     }
177cdf0e10cSrcweir 
178cdf0e10cSrcweir     /** Setup for rect & square gradient is exactly the same. Factored out
179cdf0e10cSrcweir         here.
180cdf0e10cSrcweir     */
181cdf0e10cSrcweir     static void initRectGradientInfo(ODFGradientInfo& o_rGradientInfo,
182cdf0e10cSrcweir                                      const B2DRange&  rTargetRange,
183cdf0e10cSrcweir                                      const B2DVector& rOffset,
184cdf0e10cSrcweir                                      sal_uInt32       nSteps,
185cdf0e10cSrcweir                                      double           fBorder,
186cdf0e10cSrcweir                                      double           fAngle)
187cdf0e10cSrcweir     {
188cdf0e10cSrcweir         o_rGradientInfo.maTextureTransform.identity();
189cdf0e10cSrcweir         o_rGradientInfo.maBackTextureTransform.identity();
190cdf0e10cSrcweir         o_rGradientInfo.mnSteps = nSteps;
191cdf0e10cSrcweir 
192cdf0e10cSrcweir         fAngle = -fAngle;
193cdf0e10cSrcweir 
194cdf0e10cSrcweir         double fTargetSizeX(rTargetRange.getWidth());
195cdf0e10cSrcweir         double fTargetSizeY(rTargetRange.getHeight());
196cdf0e10cSrcweir         double fTargetOffsetX(rTargetRange.getMinX());
197cdf0e10cSrcweir         double fTargetOffsetY(rTargetRange.getMinY());
198cdf0e10cSrcweir 
199cdf0e10cSrcweir         // add object expansion
200cdf0e10cSrcweir         if(0.0 != fAngle)
201cdf0e10cSrcweir         {
202cdf0e10cSrcweir             const double fAbsCos(fabs(cos(fAngle)));
203cdf0e10cSrcweir             const double fAbsSin(fabs(sin(fAngle)));
204cdf0e10cSrcweir             const double fNewX(fTargetSizeX * fAbsCos + fTargetSizeY * fAbsSin);
205cdf0e10cSrcweir             const double fNewY(fTargetSizeY * fAbsCos + fTargetSizeX * fAbsSin);
206cdf0e10cSrcweir             fTargetOffsetX -= (fNewX - fTargetSizeX) / 2.0;
207cdf0e10cSrcweir             fTargetOffsetY -= (fNewY - fTargetSizeY) / 2.0;
208cdf0e10cSrcweir             fTargetSizeX = fNewX;
209cdf0e10cSrcweir             fTargetSizeY = fNewY;
210cdf0e10cSrcweir         }
211cdf0e10cSrcweir 
212cdf0e10cSrcweir         const double fHalfBorder((1.0 - fBorder) * 0.5);
213cdf0e10cSrcweir         o_rGradientInfo.maTextureTransform.scale(fHalfBorder, fHalfBorder);
214cdf0e10cSrcweir 
215cdf0e10cSrcweir         o_rGradientInfo.maTextureTransform.translate(0.5, 0.5);
216cdf0e10cSrcweir         o_rGradientInfo.maTextureTransform.scale(fTargetSizeX, fTargetSizeY);
217cdf0e10cSrcweir 
218cdf0e10cSrcweir         // add texture rotate after scale to keep perpendicular angles
219cdf0e10cSrcweir         if(0.0 != fAngle)
220cdf0e10cSrcweir         {
221cdf0e10cSrcweir             const B2DPoint aCenter(0.5*fTargetSizeX,
222cdf0e10cSrcweir                                    0.5*fTargetSizeY);
223cdf0e10cSrcweir             o_rGradientInfo.maTextureTransform *=
224cdf0e10cSrcweir                 basegfx::tools::createRotateAroundPoint(aCenter, fAngle);
225cdf0e10cSrcweir         }
226cdf0e10cSrcweir 
227cdf0e10cSrcweir         // add defined offsets after rotation
228cdf0e10cSrcweir         if(0.5 != rOffset.getX() || 0.5 != rOffset.getY())
229cdf0e10cSrcweir         {
230cdf0e10cSrcweir             // use scaled target size
231cdf0e10cSrcweir             fTargetOffsetX += (rOffset.getX() - 0.5) * fTargetSizeX;
232cdf0e10cSrcweir             fTargetOffsetY += (rOffset.getY() - 0.5) * fTargetSizeY;
233cdf0e10cSrcweir         }
234cdf0e10cSrcweir 
235cdf0e10cSrcweir         // add object translate
236cdf0e10cSrcweir         o_rGradientInfo.maTextureTransform.translate(fTargetOffsetX, fTargetOffsetY);
237cdf0e10cSrcweir 
238cdf0e10cSrcweir         // prepare aspect for texture
239cdf0e10cSrcweir         o_rGradientInfo.mfAspectRatio = (0.0 != fTargetSizeY) ?  fTargetSizeX / fTargetSizeY : 1.0;
240cdf0e10cSrcweir 
241cdf0e10cSrcweir         // build transform from u,v to [0.0 .. 1.0]. As base, use inverse texture transform
242cdf0e10cSrcweir         o_rGradientInfo.maBackTextureTransform = o_rGradientInfo.maTextureTransform;
243cdf0e10cSrcweir         o_rGradientInfo.maBackTextureTransform.invert();
244cdf0e10cSrcweir     }
245cdf0e10cSrcweir 
246cdf0e10cSrcweir     namespace tools
247cdf0e10cSrcweir     {
248cdf0e10cSrcweir 		ODFGradientInfo& createLinearODFGradientInfo(ODFGradientInfo& o_rGradientInfo,
249cdf0e10cSrcweir                                                      const B2DRange&  rTargetArea,
250cdf0e10cSrcweir                                                      sal_uInt32       nSteps,
251cdf0e10cSrcweir                                                      double           fBorder,
252cdf0e10cSrcweir                                                      double           fAngle)
253cdf0e10cSrcweir         {
254cdf0e10cSrcweir             init1DGradientInfo(o_rGradientInfo,
255cdf0e10cSrcweir                                rTargetArea,
256cdf0e10cSrcweir                                nSteps,
257cdf0e10cSrcweir                                fBorder,
258cdf0e10cSrcweir                                fAngle,
259cdf0e10cSrcweir                                false);
260cdf0e10cSrcweir             return o_rGradientInfo;
261cdf0e10cSrcweir         }
262cdf0e10cSrcweir 
263cdf0e10cSrcweir 		ODFGradientInfo& createAxialODFGradientInfo(ODFGradientInfo& o_rGradientInfo,
264cdf0e10cSrcweir                                                     const B2DRange&  rTargetArea,
265cdf0e10cSrcweir                                                     sal_uInt32       nSteps,
266cdf0e10cSrcweir                                                     double           fBorder,
267cdf0e10cSrcweir                                                     double           fAngle)
268cdf0e10cSrcweir         {
269cdf0e10cSrcweir             init1DGradientInfo(o_rGradientInfo,
270cdf0e10cSrcweir                                rTargetArea,
271cdf0e10cSrcweir                                nSteps,
272cdf0e10cSrcweir                                fBorder,
273cdf0e10cSrcweir                                fAngle,
274cdf0e10cSrcweir                                true);
275cdf0e10cSrcweir             return o_rGradientInfo;
276cdf0e10cSrcweir         }
277cdf0e10cSrcweir 
278cdf0e10cSrcweir 		ODFGradientInfo& createRadialODFGradientInfo(ODFGradientInfo& o_rGradientInfo,
279cdf0e10cSrcweir                                                      const B2DRange&  rTargetArea,
280cdf0e10cSrcweir                                                      const B2DVector& rOffset,
281cdf0e10cSrcweir                                                      sal_uInt32       nSteps,
282cdf0e10cSrcweir                                                      double           fBorder)
283cdf0e10cSrcweir         {
284cdf0e10cSrcweir             initEllipticalGradientInfo(o_rGradientInfo,
285cdf0e10cSrcweir                                        rTargetArea,
286cdf0e10cSrcweir                                        rOffset,
287cdf0e10cSrcweir                                        nSteps,
288cdf0e10cSrcweir                                        fBorder,
289cdf0e10cSrcweir                                        0.0,
290cdf0e10cSrcweir                                        true);
291cdf0e10cSrcweir             return o_rGradientInfo;
292cdf0e10cSrcweir         }
293cdf0e10cSrcweir 
294cdf0e10cSrcweir 		ODFGradientInfo& createEllipticalODFGradientInfo(ODFGradientInfo& o_rGradientInfo,
295cdf0e10cSrcweir                                                          const B2DRange&  rTargetArea,
296cdf0e10cSrcweir                                                          const B2DVector& rOffset,
297cdf0e10cSrcweir                                                          sal_uInt32       nSteps,
298cdf0e10cSrcweir                                                          double           fBorder,
299cdf0e10cSrcweir                                                          double           fAngle)
300cdf0e10cSrcweir         {
301cdf0e10cSrcweir             initEllipticalGradientInfo(o_rGradientInfo,
302cdf0e10cSrcweir                                        rTargetArea,
303cdf0e10cSrcweir                                        rOffset,
304cdf0e10cSrcweir                                        nSteps,
305cdf0e10cSrcweir                                        fBorder,
306cdf0e10cSrcweir                                        fAngle,
307cdf0e10cSrcweir                                        false);
308cdf0e10cSrcweir             return o_rGradientInfo;
309cdf0e10cSrcweir         }
310cdf0e10cSrcweir 
311cdf0e10cSrcweir 		ODFGradientInfo& createSquareODFGradientInfo(ODFGradientInfo& o_rGradientInfo,
312cdf0e10cSrcweir                                                      const B2DRange&  rTargetArea,
313cdf0e10cSrcweir                                                      const B2DVector& rOffset,
314cdf0e10cSrcweir                                                      sal_uInt32       nSteps,
315cdf0e10cSrcweir                                                      double           fBorder,
316cdf0e10cSrcweir                                                      double           fAngle)
317cdf0e10cSrcweir         {
318cdf0e10cSrcweir             initRectGradientInfo(o_rGradientInfo,
319cdf0e10cSrcweir                                  rTargetArea,
320cdf0e10cSrcweir                                  rOffset,
321cdf0e10cSrcweir                                  nSteps,
322cdf0e10cSrcweir                                  fBorder,
323cdf0e10cSrcweir                                  fAngle);
324cdf0e10cSrcweir             return o_rGradientInfo;
325cdf0e10cSrcweir         }
326cdf0e10cSrcweir 
327cdf0e10cSrcweir 		ODFGradientInfo& createRectangularODFGradientInfo(ODFGradientInfo& o_rGradientInfo,
328cdf0e10cSrcweir                                                           const B2DRange&  rTargetArea,
329cdf0e10cSrcweir                                                           const B2DVector& rOffset,
330cdf0e10cSrcweir                                                           sal_uInt32       nSteps,
331cdf0e10cSrcweir                                                           double           fBorder,
332cdf0e10cSrcweir                                                           double           fAngle)
333cdf0e10cSrcweir         {
334cdf0e10cSrcweir             initRectGradientInfo(o_rGradientInfo,
335cdf0e10cSrcweir                                  rTargetArea,
336cdf0e10cSrcweir                                  rOffset,
337cdf0e10cSrcweir                                  nSteps,
338cdf0e10cSrcweir                                  fBorder,
339cdf0e10cSrcweir                                  fAngle);
340cdf0e10cSrcweir             return o_rGradientInfo;
341cdf0e10cSrcweir         }
342cdf0e10cSrcweir 
343cdf0e10cSrcweir     } // namespace tools
344cdf0e10cSrcweir 
345cdf0e10cSrcweir } // namespace basegfx
346