xref: /reactos/dll/win32/gdiplus/matrix.c (revision 5f279f2d)
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 #include "wine/debug.h"
31 
32 WINE_DEFAULT_DEBUG_CHANNEL(gdiplus);
33 
34 /* Multiplies two matrices of the form
35  *
36  * idx:0 idx:1     0
37  * idx:2 idx:3     0
38  * idx:4 idx:5     1
39  *
40  * and puts the output in out.
41  * */
matrix_multiply(GDIPCONST REAL * left,GDIPCONST REAL * right,REAL * out)42 static void matrix_multiply(GDIPCONST REAL * left, GDIPCONST REAL * right, REAL * out)
43 {
44     REAL temp[6];
45     int i, odd;
46 
47     for(i = 0; i < 6; i++){
48         odd = i % 2;
49         temp[i] = left[i - odd] * right[odd] + left[i - odd + 1] * right[odd + 2] +
50                   (i >= 4 ? right[odd + 4] : 0.0);
51     }
52 
53     memcpy(out, temp, 6 * sizeof(REAL));
54 }
55 
matrix_det(GDIPCONST GpMatrix * matrix)56 static REAL matrix_det(GDIPCONST GpMatrix *matrix)
57 {
58     return matrix->matrix[0]*matrix->matrix[3] - matrix->matrix[1]*matrix->matrix[2];
59 }
60 
GdipCreateMatrix2(REAL m11,REAL m12,REAL m21,REAL m22,REAL dx,REAL dy,GpMatrix ** matrix)61 GpStatus WINGDIPAPI GdipCreateMatrix2(REAL m11, REAL m12, REAL m21, REAL m22,
62     REAL dx, REAL dy, GpMatrix **matrix)
63 {
64     TRACE("(%.2f, %.2f, %.2f, %.2f, %.2f, %.2f, %p)\n", m11, m12, m21, m22, dx, dy, matrix);
65 
66     if(!matrix)
67         return InvalidParameter;
68 
69     *matrix = heap_alloc_zero(sizeof(GpMatrix));
70     if(!*matrix)    return OutOfMemory;
71 
72     /* first row */
73     (*matrix)->matrix[0] = m11;
74     (*matrix)->matrix[1] = m12;
75     /* second row */
76     (*matrix)->matrix[2] = m21;
77     (*matrix)->matrix[3] = m22;
78     /* third row */
79     (*matrix)->matrix[4] = dx;
80     (*matrix)->matrix[5] = dy;
81 
82     return Ok;
83 }
84 
GdipCreateMatrix3(GDIPCONST GpRectF * rect,GDIPCONST GpPointF * pt,GpMatrix ** matrix)85 GpStatus WINGDIPAPI GdipCreateMatrix3(GDIPCONST GpRectF *rect,
86     GDIPCONST GpPointF *pt, GpMatrix **matrix)
87 {
88     REAL m11, m12, m21, m22, dx, dy;
89     TRACE("(%p, %p, %p)\n", rect, pt, matrix);
90 
91     if(!matrix || !pt)
92         return InvalidParameter;
93 
94     m11 = (pt[1].X - pt[0].X) / rect->Width;
95     m21 = (pt[2].X - pt[0].X) / rect->Height;
96     dx = pt[0].X - m11 * rect->X - m21 * rect->Y;
97     m12 = (pt[1].Y - pt[0].Y) / rect->Width;
98     m22 = (pt[2].Y - pt[0].Y) / rect->Height;
99     dy = pt[0].Y - m12 * rect->X - m22 * rect->Y;
100 
101     return GdipCreateMatrix2(m11, m12, m21, m22, dx, dy, matrix);
102 }
103 
GdipCreateMatrix3I(GDIPCONST GpRect * rect,GDIPCONST GpPoint * pt,GpMatrix ** matrix)104 GpStatus WINGDIPAPI GdipCreateMatrix3I(GDIPCONST GpRect *rect, GDIPCONST GpPoint *pt,
105     GpMatrix **matrix)
106 {
107     GpRectF rectF;
108     GpPointF ptF[3];
109     int i;
110 
111     TRACE("(%p, %p, %p)\n", rect, pt, matrix);
112 
113     rectF.X = (REAL)rect->X;
114     rectF.Y = (REAL)rect->Y;
115     rectF.Width = (REAL)rect->Width;
116     rectF.Height = (REAL)rect->Height;
117 
118     for (i = 0; i < 3; i++) {
119         ptF[i].X = (REAL)pt[i].X;
120         ptF[i].Y = (REAL)pt[i].Y;
121     }
122     return GdipCreateMatrix3(&rectF, ptF, matrix);
123 }
124 
GdipCloneMatrix(GpMatrix * matrix,GpMatrix ** clone)125 GpStatus WINGDIPAPI GdipCloneMatrix(GpMatrix *matrix, GpMatrix **clone)
126 {
127     TRACE("(%p, %p)\n", matrix, clone);
128 
129     if(!matrix || !clone)
130         return InvalidParameter;
131 
132     *clone = heap_alloc_zero(sizeof(GpMatrix));
133     if(!*clone)    return OutOfMemory;
134 
135     **clone = *matrix;
136 
137     return Ok;
138 }
139 
GdipCreateMatrix(GpMatrix ** matrix)140 GpStatus WINGDIPAPI GdipCreateMatrix(GpMatrix **matrix)
141 {
142     TRACE("(%p)\n", matrix);
143 
144     if(!matrix)
145         return InvalidParameter;
146 
147     *matrix = heap_alloc_zero(sizeof(GpMatrix));
148     if(!*matrix)    return OutOfMemory;
149 
150     (*matrix)->matrix[0] = 1.0;
151     (*matrix)->matrix[1] = 0.0;
152     (*matrix)->matrix[2] = 0.0;
153     (*matrix)->matrix[3] = 1.0;
154     (*matrix)->matrix[4] = 0.0;
155     (*matrix)->matrix[5] = 0.0;
156 
157     return Ok;
158 }
159 
GdipDeleteMatrix(GpMatrix * matrix)160 GpStatus WINGDIPAPI GdipDeleteMatrix(GpMatrix *matrix)
161 {
162     TRACE("(%p)\n", matrix);
163 
164     if(!matrix)
165         return InvalidParameter;
166 
167     heap_free(matrix);
168 
169     return Ok;
170 }
171 
GdipGetMatrixElements(GDIPCONST GpMatrix * matrix,REAL * out)172 GpStatus WINGDIPAPI GdipGetMatrixElements(GDIPCONST GpMatrix *matrix,
173     REAL *out)
174 {
175     TRACE("(%p, %p)\n", matrix, out);
176 
177     if(!matrix || !out)
178         return InvalidParameter;
179 
180     memcpy(out, matrix->matrix, sizeof(matrix->matrix));
181 
182     return Ok;
183 }
184 
GdipInvertMatrix(GpMatrix * matrix)185 GpStatus WINGDIPAPI GdipInvertMatrix(GpMatrix *matrix)
186 {
187     GpMatrix copy;
188     REAL det;
189     BOOL invertible;
190 
191     TRACE("(%p)\n", matrix);
192 
193     if(!matrix)
194         return InvalidParameter;
195 
196     GdipIsMatrixInvertible(matrix, &invertible);
197     if(!invertible)
198         return InvalidParameter;
199 
200     /* optimize inverting simple scaling and translation matrices */
201     if(matrix->matrix[1] == 0 && matrix->matrix[2] == 0)
202     {
203         matrix->matrix[4] = -matrix->matrix[4] / matrix->matrix[0];
204         matrix->matrix[5] = -matrix->matrix[5] / matrix->matrix[3];
205         matrix->matrix[0] = 1 / matrix->matrix[0];
206         matrix->matrix[3] = 1 / matrix->matrix[3];
207 
208         return Ok;
209     }
210 
211     det = matrix_det(matrix);
212 
213     copy = *matrix;
214     /* store result */
215     matrix->matrix[0] =   copy.matrix[3] / det;
216     matrix->matrix[1] =  -copy.matrix[1] / det;
217     matrix->matrix[2] =  -copy.matrix[2] / det;
218     matrix->matrix[3] =   copy.matrix[0] / det;
219     matrix->matrix[4] =  (copy.matrix[2]*copy.matrix[5]-copy.matrix[3]*copy.matrix[4]) / det;
220     matrix->matrix[5] = -(copy.matrix[0]*copy.matrix[5]-copy.matrix[1]*copy.matrix[4]) / det;
221 
222     return Ok;
223 }
224 
GdipIsMatrixInvertible(GDIPCONST GpMatrix * matrix,BOOL * result)225 GpStatus WINGDIPAPI GdipIsMatrixInvertible(GDIPCONST GpMatrix *matrix, BOOL *result)
226 {
227     TRACE("(%p, %p)\n", matrix, result);
228 
229     if(!matrix || !result)
230         return InvalidParameter;
231 
232     if(matrix->matrix[1] == 0 && matrix->matrix[2] == 0)
233         *result = matrix->matrix[0] != 0 && matrix->matrix[3] != 0;
234     else
235         *result = (fabs(matrix_det(matrix)) >= 1e-5);
236 
237     return Ok;
238 }
239 
GdipMultiplyMatrix(GpMatrix * matrix,GDIPCONST GpMatrix * matrix2,GpMatrixOrder order)240 GpStatus WINGDIPAPI GdipMultiplyMatrix(GpMatrix *matrix, GDIPCONST GpMatrix* matrix2,
241     GpMatrixOrder order)
242 {
243     TRACE("(%p, %p, %d)\n", matrix, matrix2, order);
244 
245     if(!matrix || !matrix2)
246         return InvalidParameter;
247 
248     if(order == MatrixOrderAppend)
249         matrix_multiply(matrix->matrix, matrix2->matrix, matrix->matrix);
250     else if (order == MatrixOrderPrepend)
251         matrix_multiply(matrix2->matrix, matrix->matrix, matrix->matrix);
252     else
253         return InvalidParameter;
254 
255     return Ok;
256 }
257 
GdipRotateMatrix(GpMatrix * matrix,REAL angle,GpMatrixOrder order)258 GpStatus WINGDIPAPI GdipRotateMatrix(GpMatrix *matrix, REAL angle,
259     GpMatrixOrder order)
260 {
261     REAL cos_theta, sin_theta, rotate[6];
262 
263     TRACE("(%p, %.2f, %d)\n", matrix, angle, order);
264 
265     if(!matrix)
266         return InvalidParameter;
267 
268     angle = deg2rad(angle);
269     cos_theta = cos(angle);
270     sin_theta = sin(angle);
271 
272     rotate[0] = cos_theta;
273     rotate[1] = sin_theta;
274     rotate[2] = -sin_theta;
275     rotate[3] = cos_theta;
276     rotate[4] = 0.0;
277     rotate[5] = 0.0;
278 
279     if(order == MatrixOrderAppend)
280         matrix_multiply(matrix->matrix, rotate, matrix->matrix);
281     else if (order == MatrixOrderPrepend)
282         matrix_multiply(rotate, matrix->matrix, matrix->matrix);
283     else
284         return InvalidParameter;
285 
286     return Ok;
287 }
288 
GdipScaleMatrix(GpMatrix * matrix,REAL scaleX,REAL scaleY,GpMatrixOrder order)289 GpStatus WINGDIPAPI GdipScaleMatrix(GpMatrix *matrix, REAL scaleX, REAL scaleY,
290     GpMatrixOrder order)
291 {
292     REAL scale[6];
293 
294     TRACE("(%p, %.2f, %.2f, %d)\n", matrix, scaleX, scaleY, order);
295 
296     if(!matrix)
297         return InvalidParameter;
298 
299     scale[0] = scaleX;
300     scale[1] = 0.0;
301     scale[2] = 0.0;
302     scale[3] = scaleY;
303     scale[4] = 0.0;
304     scale[5] = 0.0;
305 
306     if(order == MatrixOrderAppend)
307         matrix_multiply(matrix->matrix, scale, matrix->matrix);
308     else if (order == MatrixOrderPrepend)
309         matrix_multiply(scale, matrix->matrix, matrix->matrix);
310     else
311         return InvalidParameter;
312 
313     return Ok;
314 }
315 
GdipSetMatrixElements(GpMatrix * matrix,REAL m11,REAL m12,REAL m21,REAL m22,REAL dx,REAL dy)316 GpStatus WINGDIPAPI GdipSetMatrixElements(GpMatrix *matrix, REAL m11, REAL m12,
317     REAL m21, REAL m22, REAL dx, REAL dy)
318 {
319     TRACE("(%p, %.2f, %.2f, %.2f, %.2f, %.2f, %.2f)\n", matrix, m11, m12,
320             m21, m22, dx, dy);
321 
322     if(!matrix)
323         return InvalidParameter;
324 
325     matrix->matrix[0] = m11;
326     matrix->matrix[1] = m12;
327     matrix->matrix[2] = m21;
328     matrix->matrix[3] = m22;
329     matrix->matrix[4] = dx;
330     matrix->matrix[5] = dy;
331 
332     return Ok;
333 }
334 
GdipShearMatrix(GpMatrix * matrix,REAL shearX,REAL shearY,GpMatrixOrder order)335 GpStatus WINGDIPAPI GdipShearMatrix(GpMatrix *matrix, REAL shearX, REAL shearY,
336     GpMatrixOrder order)
337 {
338     REAL shear[6];
339 
340     TRACE("(%p, %.2f, %.2f, %d)\n", matrix, shearX, shearY, order);
341 
342     if(!matrix)
343         return InvalidParameter;
344 
345     /* prepare transformation matrix */
346     shear[0] = 1.0;
347     shear[1] = shearY;
348     shear[2] = shearX;
349     shear[3] = 1.0;
350     shear[4] = 0.0;
351     shear[5] = 0.0;
352 
353     if(order == MatrixOrderAppend)
354         matrix_multiply(matrix->matrix, shear, matrix->matrix);
355     else if (order == MatrixOrderPrepend)
356         matrix_multiply(shear, matrix->matrix, matrix->matrix);
357     else
358         return InvalidParameter;
359 
360     return Ok;
361 }
362 
GdipTransformMatrixPoints(GpMatrix * matrix,GpPointF * pts,INT count)363 GpStatus WINGDIPAPI GdipTransformMatrixPoints(GpMatrix *matrix, GpPointF *pts,
364                                               INT count)
365 {
366     REAL x, y;
367     INT i;
368 
369     TRACE("(%p, %p, %d)\n", matrix, pts, count);
370 
371     if(!matrix || !pts || count <= 0)
372         return InvalidParameter;
373 
374     for(i = 0; i < count; i++)
375     {
376         x = pts[i].X;
377         y = pts[i].Y;
378 
379         pts[i].X = x * matrix->matrix[0] + y * matrix->matrix[2] + matrix->matrix[4];
380         pts[i].Y = x * matrix->matrix[1] + y * matrix->matrix[3] + matrix->matrix[5];
381     }
382 
383     return Ok;
384 }
385 
GdipTransformMatrixPointsI(GpMatrix * matrix,GpPoint * pts,INT count)386 GpStatus WINGDIPAPI GdipTransformMatrixPointsI(GpMatrix *matrix, GpPoint *pts, INT count)
387 {
388     GpPointF *ptsF;
389     GpStatus ret;
390     INT i;
391 
392     TRACE("(%p, %p, %d)\n", matrix, pts, count);
393 
394     if(count <= 0)
395         return InvalidParameter;
396 
397     ptsF = heap_alloc_zero(sizeof(GpPointF) * count);
398     if(!ptsF)
399         return OutOfMemory;
400 
401     for(i = 0; i < count; i++){
402         ptsF[i].X = (REAL)pts[i].X;
403         ptsF[i].Y = (REAL)pts[i].Y;
404     }
405 
406     ret = GdipTransformMatrixPoints(matrix, ptsF, count);
407 
408     if(ret == Ok)
409         for(i = 0; i < count; i++){
410             pts[i].X = gdip_round(ptsF[i].X);
411             pts[i].Y = gdip_round(ptsF[i].Y);
412         }
413     heap_free(ptsF);
414 
415     return ret;
416 }
417 
GdipTranslateMatrix(GpMatrix * matrix,REAL offsetX,REAL offsetY,GpMatrixOrder order)418 GpStatus WINGDIPAPI GdipTranslateMatrix(GpMatrix *matrix, REAL offsetX,
419     REAL offsetY, GpMatrixOrder order)
420 {
421     REAL translate[6];
422 
423     TRACE("(%p, %.2f, %.2f, %d)\n", matrix, offsetX, offsetY, order);
424 
425     if(!matrix)
426         return InvalidParameter;
427 
428     translate[0] = 1.0;
429     translate[1] = 0.0;
430     translate[2] = 0.0;
431     translate[3] = 1.0;
432     translate[4] = offsetX;
433     translate[5] = offsetY;
434 
435     if(order == MatrixOrderAppend)
436         matrix_multiply(matrix->matrix, translate, matrix->matrix);
437     else if (order == MatrixOrderPrepend)
438         matrix_multiply(translate, matrix->matrix, matrix->matrix);
439     else
440         return InvalidParameter;
441 
442     return Ok;
443 }
444 
GdipVectorTransformMatrixPoints(GpMatrix * matrix,GpPointF * pts,INT count)445 GpStatus WINGDIPAPI GdipVectorTransformMatrixPoints(GpMatrix *matrix, GpPointF *pts, INT count)
446 {
447     REAL x, y;
448     INT i;
449 
450     TRACE("(%p, %p, %d)\n", matrix, pts, count);
451 
452     if(!matrix || !pts || count <= 0)
453         return InvalidParameter;
454 
455     for(i = 0; i < count; i++)
456     {
457         x = pts[i].X;
458         y = pts[i].Y;
459 
460         pts[i].X = x * matrix->matrix[0] + y * matrix->matrix[2];
461         pts[i].Y = x * matrix->matrix[1] + y * matrix->matrix[3];
462     }
463 
464     return Ok;
465 }
466 
GdipVectorTransformMatrixPointsI(GpMatrix * matrix,GpPoint * pts,INT count)467 GpStatus WINGDIPAPI GdipVectorTransformMatrixPointsI(GpMatrix *matrix, GpPoint *pts, INT count)
468 {
469     GpPointF *ptsF;
470     GpStatus ret;
471     INT i;
472 
473     TRACE("(%p, %p, %d)\n", matrix, pts, count);
474 
475     if(count <= 0)
476         return InvalidParameter;
477 
478     ptsF = heap_alloc_zero(sizeof(GpPointF) * count);
479     if(!ptsF)
480         return OutOfMemory;
481 
482     for(i = 0; i < count; i++){
483         ptsF[i].X = (REAL)pts[i].X;
484         ptsF[i].Y = (REAL)pts[i].Y;
485     }
486 
487     ret = GdipVectorTransformMatrixPoints(matrix, ptsF, count);
488     /* store back */
489     if(ret == Ok)
490         for(i = 0; i < count; i++){
491             pts[i].X = gdip_round(ptsF[i].X);
492             pts[i].Y = gdip_round(ptsF[i].Y);
493         }
494     heap_free(ptsF);
495 
496     return ret;
497 }
498 
GdipIsMatrixEqual(GDIPCONST GpMatrix * matrix,GDIPCONST GpMatrix * matrix2,BOOL * result)499 GpStatus WINGDIPAPI GdipIsMatrixEqual(GDIPCONST GpMatrix *matrix, GDIPCONST GpMatrix *matrix2,
500     BOOL *result)
501 {
502     TRACE("(%p, %p, %p)\n", matrix, matrix2, result);
503 
504     if(!matrix || !matrix2 || !result)
505         return InvalidParameter;
506     /* based on single array member of GpMatrix */
507     *result = (memcmp(matrix->matrix, matrix2->matrix, sizeof(GpMatrix)) == 0);
508 
509     return Ok;
510 }
511 
GdipIsMatrixIdentity(GDIPCONST GpMatrix * matrix,BOOL * result)512 GpStatus WINGDIPAPI GdipIsMatrixIdentity(GDIPCONST GpMatrix *matrix, BOOL *result)
513 {
514     static const GpMatrix identity =
515     {
516       { 1.0, 0.0,
517         0.0, 1.0,
518         0.0, 0.0 }
519     };
520 
521     TRACE("(%p, %p)\n", matrix, result);
522 
523     if(!matrix || !result)
524         return InvalidParameter;
525 
526     return GdipIsMatrixEqual(matrix, &identity, result);
527 }
528