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wine/dlls/gdiplus/matrix.c

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  1 /*
  2  * Copyright (C) 2007 Google (Evan Stade)
  3  *
  4  * This library is free software; you can redistribute it and/or
  5  * modify it under the terms of the GNU Lesser General Public
  6  * License as published by the Free Software Foundation; either
  7  * version 2.1 of the License, or (at your option) any later version.
  8  *
  9  * This library is distributed in the hope that it will be useful,
 10  * but WITHOUT ANY WARRANTY; without even the implied warranty of
 11  * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
 12  * Lesser General Public License for more details.
 13  *
 14  * You should have received a copy of the GNU Lesser General Public
 15  * License along with this library; if not, write to the Free Software
 16  * Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301, USA
 17  */
 18 
 19 #include <stdarg.h>
 20 #include <math.h>
 21 
 22 #include "windef.h"
 23 #include "winbase.h"
 24 #include "wingdi.h"
 25 
 26 #include "objbase.h"
 27 
 28 #include "gdiplus.h"
 29 #include "gdiplus_private.h"
 30 
 31 /* Multiplies two matrices of the form
 32  *
 33  * idx:0 idx:1     0
 34  * idx:2 idx:3     0
 35  * idx:4 idx:5     1
 36  *
 37  * and puts the output in out.
 38  * */
 39 static void matrix_multiply(GDIPCONST REAL * left, GDIPCONST REAL * right, REAL * out)
 40 {
 41     REAL temp[6];
 42     int i, odd;
 43 
 44     for(i = 0; i < 6; i++){
 45         odd = i % 2;
 46         temp[i] = left[i - odd] * right[odd] + left[i - odd + 1] * right[odd + 2] +
 47                   (i >= 4 ? right[odd + 4] : 0.0);
 48     }
 49 
 50     memcpy(out, temp, 6 * sizeof(REAL));
 51 }
 52 
 53 static REAL matrix_det(GDIPCONST GpMatrix *matrix)
 54 {
 55     return matrix->matrix[0]*matrix->matrix[3] - matrix->matrix[1]*matrix->matrix[2];
 56 }
 57 
 58 GpStatus WINGDIPAPI GdipCreateMatrix2(REAL m11, REAL m12, REAL m21, REAL m22,
 59     REAL dx, REAL dy, GpMatrix **matrix)
 60 {
 61     if(!matrix)
 62         return InvalidParameter;
 63 
 64     *matrix = GdipAlloc(sizeof(GpMatrix));
 65     if(!*matrix)    return OutOfMemory;
 66 
 67     /* first row */
 68     (*matrix)->matrix[0] = m11;
 69     (*matrix)->matrix[1] = m12;
 70     /* second row */
 71     (*matrix)->matrix[2] = m21;
 72     (*matrix)->matrix[3] = m22;
 73     /* third row */
 74     (*matrix)->matrix[4] = dx;
 75     (*matrix)->matrix[5] = dy;
 76 
 77     return Ok;
 78 }
 79 
 80 GpStatus WINGDIPAPI GdipCreateMatrix3(GDIPCONST GpRectF *rect,
 81     GDIPCONST GpPointF *pt, GpMatrix **matrix)
 82 {
 83     if(!matrix)
 84         return InvalidParameter;
 85 
 86     *matrix = GdipAlloc(sizeof(GpMatrix));
 87     if(!*matrix)    return OutOfMemory;
 88 
 89     memcpy((*matrix)->matrix, rect, 4 * sizeof(REAL));
 90 
 91     (*matrix)->matrix[4] = pt->X;
 92     (*matrix)->matrix[5] = pt->Y;
 93 
 94     return Ok;
 95 }
 96 
 97 GpStatus WINGDIPAPI GdipCreateMatrix3I(GDIPCONST GpRect *rect, GDIPCONST GpPoint *pt,
 98     GpMatrix **matrix)
 99 {
100     GpRectF rectF;
101     GpPointF ptF;
102 
103     rectF.X = (REAL)rect->X;
104     rectF.Y = (REAL)rect->Y;
105     rectF.Width = (REAL)rect->Width;
106     rectF.Height = (REAL)rect->Height;
107 
108     ptF.X = (REAL)pt->X;
109     ptF.Y = (REAL)pt->Y;
110 
111     return GdipCreateMatrix3(&rectF, &ptF, matrix);
112 }
113 
114 GpStatus WINGDIPAPI GdipCloneMatrix(GpMatrix *matrix, GpMatrix **clone)
115 {
116     if(!matrix || !clone)
117         return InvalidParameter;
118 
119     *clone = GdipAlloc(sizeof(GpMatrix));
120     if(!*clone)    return OutOfMemory;
121 
122     **clone = *matrix;
123 
124     return Ok;
125 }
126 
127 GpStatus WINGDIPAPI GdipCreateMatrix(GpMatrix **matrix)
128 {
129     if(!matrix)
130         return InvalidParameter;
131 
132     *matrix = GdipAlloc(sizeof(GpMatrix));
133     if(!*matrix)    return OutOfMemory;
134 
135     (*matrix)->matrix[0] = 1.0;
136     (*matrix)->matrix[1] = 0.0;
137     (*matrix)->matrix[2] = 0.0;
138     (*matrix)->matrix[3] = 1.0;
139     (*matrix)->matrix[4] = 0.0;
140     (*matrix)->matrix[5] = 0.0;
141 
142     return Ok;
143 }
144 
145 GpStatus WINGDIPAPI GdipDeleteMatrix(GpMatrix *matrix)
146 {
147     if(!matrix)
148         return InvalidParameter;
149 
150     GdipFree(matrix);
151 
152     return Ok;
153 }
154 
155 GpStatus WINGDIPAPI GdipGetMatrixElements(GDIPCONST GpMatrix *matrix,
156     REAL *out)
157 {
158     if(!matrix || !out)
159         return InvalidParameter;
160 
161     memcpy(out, matrix->matrix, sizeof(matrix->matrix));
162 
163     return Ok;
164 }
165 
166 GpStatus WINGDIPAPI GdipInvertMatrix(GpMatrix *matrix)
167 {
168     GpMatrix copy;
169     REAL det;
170     BOOL invertible;
171 
172     if(!matrix)
173         return InvalidParameter;
174 
175     GdipIsMatrixInvertible(matrix, &invertible);
176     if(!invertible)
177         return InvalidParameter;
178 
179     det = matrix_det(matrix);
180 
181     copy = *matrix;
182     /* store result */
183     matrix->matrix[0] =   copy.matrix[3] / det;
184     matrix->matrix[1] =  -copy.matrix[1] / det;
185     matrix->matrix[2] =  -copy.matrix[2] / det;
186     matrix->matrix[3] =   copy.matrix[0] / det;
187     matrix->matrix[4] =  (copy.matrix[2]*copy.matrix[5]-copy.matrix[3]*copy.matrix[4]) / det;
188     matrix->matrix[5] = -(copy.matrix[0]*copy.matrix[5]-copy.matrix[1]*copy.matrix[4]) / det;
189 
190     return Ok;
191 }
192 
193 GpStatus WINGDIPAPI GdipIsMatrixInvertible(GDIPCONST GpMatrix *matrix, BOOL *result)
194 {
195     if(!matrix || !result)
196         return InvalidParameter;
197 
198     *result = (fabs(matrix_det(matrix)) >= 1e-5);
199 
200     return Ok;
201 }
202 
203 GpStatus WINGDIPAPI GdipMultiplyMatrix(GpMatrix *matrix, GpMatrix* matrix2,
204     GpMatrixOrder order)
205 {
206     if(!matrix || !matrix2)
207         return InvalidParameter;
208 
209     if(order == MatrixOrderAppend)
210         matrix_multiply(matrix->matrix, matrix2->matrix, matrix->matrix);
211     else
212         matrix_multiply(matrix2->matrix, matrix->matrix, matrix->matrix);
213 
214     return Ok;
215 }
216 
217 GpStatus WINGDIPAPI GdipRotateMatrix(GpMatrix *matrix, REAL angle,
218     GpMatrixOrder order)
219 {
220     REAL cos_theta, sin_theta, rotate[6];
221 
222     if(!matrix)
223         return InvalidParameter;
224 
225     angle = deg2rad(angle);
226     cos_theta = cos(angle);
227     sin_theta = sin(angle);
228 
229     rotate[0] = cos_theta;
230     rotate[1] = sin_theta;
231     rotate[2] = -sin_theta;
232     rotate[3] = cos_theta;
233     rotate[4] = 0.0;
234     rotate[5] = 0.0;
235 
236     if(order == MatrixOrderAppend)
237         matrix_multiply(matrix->matrix, rotate, matrix->matrix);
238     else
239         matrix_multiply(rotate, matrix->matrix, matrix->matrix);
240 
241     return Ok;
242 }
243 
244 GpStatus WINGDIPAPI GdipScaleMatrix(GpMatrix *matrix, REAL scaleX, REAL scaleY,
245     GpMatrixOrder order)
246 {
247     REAL scale[6];
248 
249     if(!matrix)
250         return InvalidParameter;
251 
252     scale[0] = scaleX;
253     scale[1] = 0.0;
254     scale[2] = 0.0;
255     scale[3] = scaleY;
256     scale[4] = 0.0;
257     scale[5] = 0.0;
258 
259     if(order == MatrixOrderAppend)
260         matrix_multiply(matrix->matrix, scale, matrix->matrix);
261     else
262         matrix_multiply(scale, matrix->matrix, matrix->matrix);
263 
264     return Ok;
265 }
266 
267 GpStatus WINGDIPAPI GdipSetMatrixElements(GpMatrix *matrix, REAL m11, REAL m12,
268     REAL m21, REAL m22, REAL dx, REAL dy)
269 {
270     if(!matrix)
271         return InvalidParameter;
272 
273     matrix->matrix[0] = m11;
274     matrix->matrix[1] = m12;
275     matrix->matrix[2] = m21;
276     matrix->matrix[3] = m22;
277     matrix->matrix[4] = dx;
278     matrix->matrix[5] = dy;
279 
280     return Ok;
281 }
282 
283 GpStatus WINGDIPAPI GdipShearMatrix(GpMatrix *matrix, REAL shearX, REAL shearY,
284     GpMatrixOrder order)
285 {
286     REAL shear[6];
287 
288     if(!matrix)
289         return InvalidParameter;
290 
291     /* prepare transformation matrix */
292     shear[0] = 1.0;
293     shear[1] = shearY;
294     shear[2] = shearX;
295     shear[3] = 1.0;
296     shear[4] = 0.0;
297     shear[5] = 0.0;
298 
299     if(order == MatrixOrderAppend)
300         matrix_multiply(matrix->matrix, shear, matrix->matrix);
301     else
302         matrix_multiply(shear, matrix->matrix, matrix->matrix);
303 
304     return Ok;
305 }
306 
307 GpStatus WINGDIPAPI GdipTransformMatrixPoints(GpMatrix *matrix, GpPointF *pts,
308                                               INT count)
309 {
310     REAL x, y;
311     INT i;
312 
313     if(!matrix || !pts || count <= 0)
314         return InvalidParameter;
315 
316     for(i = 0; i < count; i++)
317     {
318         x = pts[i].X;
319         y = pts[i].Y;
320 
321         pts[i].X = x * matrix->matrix[0] + y * matrix->matrix[2] + matrix->matrix[4];
322         pts[i].Y = x * matrix->matrix[1] + y * matrix->matrix[3] + matrix->matrix[5];
323     }
324 
325     return Ok;
326 }
327 
328 GpStatus WINGDIPAPI GdipTransformMatrixPointsI(GpMatrix *matrix, GpPoint *pts, INT count)
329 {
330     GpPointF *ptsF;
331     GpStatus ret;
332     INT i;
333 
334     if(count <= 0)
335         return InvalidParameter;
336 
337     ptsF = GdipAlloc(sizeof(GpPointF) * count);
338     if(!ptsF)
339         return OutOfMemory;
340 
341     for(i = 0; i < count; i++){
342         ptsF[i].X = (REAL)pts[i].X;
343         ptsF[i].Y = (REAL)pts[i].Y;
344     }
345 
346     ret = GdipTransformMatrixPoints(matrix, ptsF, count);
347 
348     if(ret == Ok)
349         for(i = 0; i < count; i++){
350             pts[i].X = roundr(ptsF[i].X);
351             pts[i].Y = roundr(ptsF[i].Y);
352         }
353     GdipFree(ptsF);
354 
355     return ret;
356 }
357 
358 GpStatus WINGDIPAPI GdipTranslateMatrix(GpMatrix *matrix, REAL offsetX,
359     REAL offsetY, GpMatrixOrder order)
360 {
361     REAL translate[6];
362 
363     if(!matrix)
364         return InvalidParameter;
365 
366     translate[0] = 1.0;
367     translate[1] = 0.0;
368     translate[2] = 0.0;
369     translate[3] = 1.0;
370     translate[4] = offsetX;
371     translate[5] = offsetY;
372 
373     if(order == MatrixOrderAppend)
374         matrix_multiply(matrix->matrix, translate, matrix->matrix);
375     else
376         matrix_multiply(translate, matrix->matrix, matrix->matrix);
377 
378     return Ok;
379 }
380 
381 GpStatus WINGDIPAPI GdipVectorTransformMatrixPoints(GpMatrix *matrix, GpPointF *pts, INT count)
382 {
383     REAL x, y;
384     INT i;
385 
386     if(!matrix || !pts || count <= 0)
387         return InvalidParameter;
388 
389     for(i = 0; i < count; i++)
390     {
391         x = pts[i].X;
392         y = pts[i].Y;
393 
394         pts[i].X = x * matrix->matrix[0] + y * matrix->matrix[2];
395         pts[i].Y = x * matrix->matrix[1] + y * matrix->matrix[3];
396     }
397 
398     return Ok;
399 }
400 
401 GpStatus WINGDIPAPI GdipVectorTransformMatrixPointsI(GpMatrix *matrix, GpPoint *pts, INT count)
402 {
403     GpPointF *ptsF;
404     GpStatus ret;
405     INT i;
406 
407     if(count <= 0)
408         return InvalidParameter;
409 
410     ptsF = GdipAlloc(sizeof(GpPointF) * count);
411     if(!ptsF)
412         return OutOfMemory;
413 
414     for(i = 0; i < count; i++){
415         ptsF[i].X = (REAL)pts[i].X;
416         ptsF[i].Y = (REAL)pts[i].Y;
417     }
418 
419     ret = GdipVectorTransformMatrixPoints(matrix, ptsF, count);
420     /* store back */
421     if(ret == Ok)
422         for(i = 0; i < count; i++){
423             pts[i].X = roundr(ptsF[i].X);
424             pts[i].Y = roundr(ptsF[i].Y);
425         }
426     GdipFree(ptsF);
427 
428     return ret;
429 }
430 
431 GpStatus WINGDIPAPI GdipIsMatrixEqual(GDIPCONST GpMatrix *matrix, GDIPCONST GpMatrix *matrix2,
432     BOOL *result)
433 {
434     if(!matrix || !matrix2 || !result)
435         return InvalidParameter;
436     /* based on single array member of GpMatrix */
437     *result = (memcmp(matrix->matrix, matrix2->matrix, sizeof(GpMatrix)) == 0);
438 
439     return Ok;
440 }
441 
442 GpStatus WINGDIPAPI GdipIsMatrixIdentity(GDIPCONST GpMatrix *matrix, BOOL *result)
443 {
444     GpMatrix *e;
445     GpStatus ret;
446     BOOL isIdentity;
447 
448     if(!matrix || !result)
449         return InvalidParameter;
450 
451     ret = GdipCreateMatrix(&e);
452     if(ret != Ok) return ret;
453 
454     ret = GdipIsMatrixEqual(matrix, e, &isIdentity);
455     if(ret == Ok)
456         *result = isIdentity;
457 
458     GdipFree(e);
459 
460     return ret;
461 }
462 

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