1 /*
2 * Copyright 2011 Google Inc.
3 *
4 * Use of this source code is governed by a BSD-style license that can be
5 * found in the LICENSE file.
6 */
7
8 #include "Test.h"
9 #include "TestClassDef.h"
10 #include "SkMatrix44.h"
11
nearly_equal_double(double a,double b)12 static bool nearly_equal_double(double a, double b) {
13 const double tolerance = 1e-7;
14 double diff = a - b;
15 if (diff < 0)
16 diff = -diff;
17 return diff <= tolerance;
18 }
19
nearly_equal_mscalar(SkMScalar a,SkMScalar b)20 static bool nearly_equal_mscalar(SkMScalar a, SkMScalar b) {
21 const SkMScalar tolerance = SK_MScalar1 / 200000;
22
23 return SkTAbs<SkMScalar>(a - b) <= tolerance;
24 }
25
nearly_equal_scalar(SkScalar a,SkScalar b)26 static bool nearly_equal_scalar(SkScalar a, SkScalar b) {
27 // Note that we get more compounded error for multiple operations when
28 // SK_SCALAR_IS_FIXED.
29 #ifdef SK_SCALAR_IS_FLOAT
30 const SkScalar tolerance = SK_Scalar1 / 200000;
31 #else
32 const SkScalar tolerance = SK_Scalar1 / 1024;
33 #endif
34
35 return SkScalarAbs(a - b) <= tolerance;
36 }
37
assert16(skiatest::Reporter * reporter,const T data[],T m0,T m1,T m2,T m3,T m4,T m5,T m6,T m7,T m8,T m9,T m10,T m11,T m12,T m13,T m14,T m15)38 template <typename T> void assert16(skiatest::Reporter* reporter, const T data[],
39 T m0, T m1, T m2, T m3,
40 T m4, T m5, T m6, T m7,
41 T m8, T m9, T m10, T m11,
42 T m12, T m13, T m14, T m15) {
43 REPORTER_ASSERT(reporter, data[0] == m0);
44 REPORTER_ASSERT(reporter, data[1] == m1);
45 REPORTER_ASSERT(reporter, data[2] == m2);
46 REPORTER_ASSERT(reporter, data[3] == m3);
47
48 REPORTER_ASSERT(reporter, data[4] == m4);
49 REPORTER_ASSERT(reporter, data[5] == m5);
50 REPORTER_ASSERT(reporter, data[6] == m6);
51 REPORTER_ASSERT(reporter, data[7] == m7);
52
53 REPORTER_ASSERT(reporter, data[8] == m8);
54 REPORTER_ASSERT(reporter, data[9] == m9);
55 REPORTER_ASSERT(reporter, data[10] == m10);
56 REPORTER_ASSERT(reporter, data[11] == m11);
57
58 REPORTER_ASSERT(reporter, data[12] == m12);
59 REPORTER_ASSERT(reporter, data[13] == m13);
60 REPORTER_ASSERT(reporter, data[14] == m14);
61 REPORTER_ASSERT(reporter, data[15] == m15);
62 }
63
nearly_equal(const SkMatrix44 & a,const SkMatrix44 & b)64 static bool nearly_equal(const SkMatrix44& a, const SkMatrix44& b) {
65 for (int i = 0; i < 4; ++i) {
66 for (int j = 0; j < 4; ++j) {
67 if (!nearly_equal_mscalar(a.get(i, j), b.get(i, j))) {
68 SkDebugf("not equal %g %g\n", a.get(i, j), b.get(i, j));
69 return false;
70 }
71 }
72 }
73 return true;
74 }
75
is_identity(const SkMatrix44 & m)76 static bool is_identity(const SkMatrix44& m) {
77 SkMatrix44 identity(SkMatrix44::kIdentity_Constructor);
78 return nearly_equal(m, identity);
79 }
80
81 ///////////////////////////////////////////////////////////////////////////////
bits_isonly(int value,int mask)82 static bool bits_isonly(int value, int mask) {
83 return 0 == (value & ~mask);
84 }
85
test_constructor(skiatest::Reporter * reporter)86 static void test_constructor(skiatest::Reporter* reporter) {
87 // Allocate a matrix on the heap
88 SkMatrix44* placeholderMatrix = new SkMatrix44(SkMatrix44::kUninitialized_Constructor);
89 SkAutoTDelete<SkMatrix44> deleteMe(placeholderMatrix);
90
91 for (int row = 0; row < 4; ++row) {
92 for (int col = 0; col < 4; ++col) {
93 placeholderMatrix->setDouble(row, col, row * col);
94 }
95 }
96
97 // Use placement-new syntax to trigger the constructor on top of the heap
98 // address we already initialized. This allows us to check that the
99 // constructor did avoid initializing the matrix contents.
100 SkMatrix44* testMatrix = new(placeholderMatrix) SkMatrix44(SkMatrix44::kUninitialized_Constructor);
101 REPORTER_ASSERT(reporter, testMatrix == placeholderMatrix);
102 REPORTER_ASSERT(reporter, !testMatrix->isIdentity());
103 for (int row = 0; row < 4; ++row) {
104 for (int col = 0; col < 4; ++col) {
105 REPORTER_ASSERT(reporter, nearly_equal_double(row * col, testMatrix->getDouble(row, col)));
106 }
107 }
108
109 // Verify that kIdentity_Constructor really does initialize to an identity matrix.
110 testMatrix = 0;
111 testMatrix = new(placeholderMatrix) SkMatrix44(SkMatrix44::kIdentity_Constructor);
112 REPORTER_ASSERT(reporter, testMatrix == placeholderMatrix);
113 REPORTER_ASSERT(reporter, testMatrix->isIdentity());
114 REPORTER_ASSERT(reporter, *testMatrix == SkMatrix44::I());
115 }
116
test_translate(skiatest::Reporter * reporter)117 static void test_translate(skiatest::Reporter* reporter) {
118 SkMatrix44 mat(SkMatrix44::kUninitialized_Constructor);
119 SkMatrix44 inverse(SkMatrix44::kUninitialized_Constructor);
120
121 mat.setTranslate(0, 0, 0);
122 REPORTER_ASSERT(reporter, bits_isonly(mat.getType(), SkMatrix44::kIdentity_Mask));
123 mat.setTranslate(1, 2, 3);
124 REPORTER_ASSERT(reporter, bits_isonly(mat.getType(), SkMatrix44::kTranslate_Mask));
125 REPORTER_ASSERT(reporter, mat.invert(&inverse));
126 REPORTER_ASSERT(reporter, bits_isonly(inverse.getType(), SkMatrix44::kTranslate_Mask));
127
128 SkMatrix44 a(SkMatrix44::kUninitialized_Constructor);
129 SkMatrix44 b(SkMatrix44::kUninitialized_Constructor);
130 SkMatrix44 c(SkMatrix44::kUninitialized_Constructor);
131 a.set3x3(1, 2, 3, 4, 5, 6, 7, 8, 9);
132 b.setTranslate(10, 11, 12);
133
134 c.setConcat(a, b);
135 mat = a;
136 mat.preTranslate(10, 11, 12);
137 REPORTER_ASSERT(reporter, mat == c);
138
139 c.setConcat(b, a);
140 mat = a;
141 mat.postTranslate(10, 11, 12);
142 REPORTER_ASSERT(reporter, mat == c);
143 }
144
test_scale(skiatest::Reporter * reporter)145 static void test_scale(skiatest::Reporter* reporter) {
146 SkMatrix44 mat(SkMatrix44::kUninitialized_Constructor);
147 SkMatrix44 inverse(SkMatrix44::kUninitialized_Constructor);
148
149 mat.setScale(1, 1, 1);
150 REPORTER_ASSERT(reporter, bits_isonly(mat.getType(), SkMatrix44::kIdentity_Mask));
151 mat.setScale(1, 2, 3);
152 REPORTER_ASSERT(reporter, bits_isonly(mat.getType(), SkMatrix44::kScale_Mask));
153 REPORTER_ASSERT(reporter, mat.invert(&inverse));
154 REPORTER_ASSERT(reporter, bits_isonly(inverse.getType(), SkMatrix44::kScale_Mask));
155
156 SkMatrix44 a(SkMatrix44::kUninitialized_Constructor);
157 SkMatrix44 b(SkMatrix44::kUninitialized_Constructor);
158 SkMatrix44 c(SkMatrix44::kUninitialized_Constructor);
159 a.set3x3(1, 2, 3, 4, 5, 6, 7, 8, 9);
160 b.setScale(10, 11, 12);
161
162 c.setConcat(a, b);
163 mat = a;
164 mat.preScale(10, 11, 12);
165 REPORTER_ASSERT(reporter, mat == c);
166
167 c.setConcat(b, a);
168 mat = a;
169 mat.postScale(10, 11, 12);
170 REPORTER_ASSERT(reporter, mat == c);
171 }
172
make_i(SkMatrix44 * mat)173 static void make_i(SkMatrix44* mat) { mat->setIdentity(); }
make_t(SkMatrix44 * mat)174 static void make_t(SkMatrix44* mat) { mat->setTranslate(1, 2, 3); }
make_s(SkMatrix44 * mat)175 static void make_s(SkMatrix44* mat) { mat->setScale(1, 2, 3); }
make_st(SkMatrix44 * mat)176 static void make_st(SkMatrix44* mat) {
177 mat->setScale(1, 2, 3);
178 mat->postTranslate(1, 2, 3);
179 }
make_a(SkMatrix44 * mat)180 static void make_a(SkMatrix44* mat) {
181 mat->setRotateDegreesAbout(1, 2, 3, 45);
182 }
make_p(SkMatrix44 * mat)183 static void make_p(SkMatrix44* mat) {
184 SkMScalar data[] = {
185 1, 2, 3, 4, 5, 6, 7, 8,
186 1, 2, 3, 4, 5, 6, 7, 8,
187 };
188 mat->setRowMajor(data);
189 }
190
191 typedef void (*Make44Proc)(SkMatrix44*);
192
193 static const Make44Proc gMakeProcs[] = {
194 make_i, make_t, make_s, make_st, make_a, make_p
195 };
196
test_map2(skiatest::Reporter * reporter,const SkMatrix44 & mat)197 static void test_map2(skiatest::Reporter* reporter, const SkMatrix44& mat) {
198 SkMScalar src2[] = { 1, 2 };
199 SkMScalar src4[] = { src2[0], src2[1], 0, 1 };
200 SkMScalar dstA[4], dstB[4];
201
202 for (int i = 0; i < 4; ++i) {
203 dstA[i] = 123456789;
204 dstB[i] = 987654321;
205 }
206
207 mat.map2(src2, 1, dstA);
208 mat.mapMScalars(src4, dstB);
209
210 for (int i = 0; i < 4; ++i) {
211 REPORTER_ASSERT(reporter, dstA[i] == dstB[i]);
212 }
213 }
214
test_map2(skiatest::Reporter * reporter)215 static void test_map2(skiatest::Reporter* reporter) {
216 SkMatrix44 mat(SkMatrix44::kUninitialized_Constructor);
217
218 for (size_t i = 0; i < SK_ARRAY_COUNT(gMakeProcs); ++i) {
219 gMakeProcs[i](&mat);
220 test_map2(reporter, mat);
221 }
222 }
223
test_gettype(skiatest::Reporter * reporter)224 static void test_gettype(skiatest::Reporter* reporter) {
225 SkMatrix44 matrix(SkMatrix44::kIdentity_Constructor);
226
227 REPORTER_ASSERT(reporter, matrix.isIdentity());
228 REPORTER_ASSERT(reporter, SkMatrix44::kIdentity_Mask == matrix.getType());
229
230 int expectedMask;
231
232 matrix.set(1, 1, 0);
233 expectedMask = SkMatrix44::kScale_Mask;
234 REPORTER_ASSERT(reporter, matrix.getType() == expectedMask);
235
236 matrix.set(0, 3, 1); // translate-x
237 expectedMask |= SkMatrix44::kTranslate_Mask;
238 REPORTER_ASSERT(reporter, matrix.getType() == expectedMask);
239
240 matrix.set(2, 0, 1);
241 expectedMask |= SkMatrix44::kAffine_Mask;
242 REPORTER_ASSERT(reporter, matrix.getType() == expectedMask);
243
244 matrix.set(3, 2, 1);
245 REPORTER_ASSERT(reporter, matrix.getType() & SkMatrix44::kPerspective_Mask);
246
247 // ensure that negative zero is treated as zero
248 SkMScalar dx = 0;
249 SkMScalar dy = 0;
250 SkMScalar dz = 0;
251 matrix.setTranslate(-dx, -dy, -dz);
252 REPORTER_ASSERT(reporter, matrix.isIdentity());
253 matrix.preTranslate(-dx, -dy, -dz);
254 REPORTER_ASSERT(reporter, matrix.isIdentity());
255 matrix.postTranslate(-dx, -dy, -dz);
256 REPORTER_ASSERT(reporter, matrix.isIdentity());
257 }
258
test_common_angles(skiatest::Reporter * reporter)259 static void test_common_angles(skiatest::Reporter* reporter) {
260 SkMatrix44 rot(SkMatrix44::kUninitialized_Constructor);
261 // Test precision of rotation in common cases
262 int common_angles[] = { 0, 90, -90, 180, -180, 270, -270, 360, -360 };
263 for (int i = 0; i < 9; ++i) {
264 rot.setRotateDegreesAbout(0, 0, -1, SkIntToScalar(common_angles[i]));
265
266 SkMatrix rot3x3 = rot;
267 REPORTER_ASSERT(reporter, rot3x3.rectStaysRect());
268 }
269 }
270
test_concat(skiatest::Reporter * reporter)271 static void test_concat(skiatest::Reporter* reporter) {
272 int i;
273 SkMatrix44 a(SkMatrix44::kUninitialized_Constructor);
274 SkMatrix44 b(SkMatrix44::kUninitialized_Constructor);
275 SkMatrix44 c(SkMatrix44::kUninitialized_Constructor);
276 SkMatrix44 d(SkMatrix44::kUninitialized_Constructor);
277
278 a.setTranslate(10, 10, 10);
279 b.setScale(2, 2, 2);
280
281 SkScalar src[8] = {
282 0, 0, 0, 1,
283 1, 1, 1, 1
284 };
285 SkScalar dst[8];
286
287 c.setConcat(a, b);
288
289 d = a;
290 d.preConcat(b);
291 REPORTER_ASSERT(reporter, d == c);
292
293 c.mapScalars(src, dst); c.mapScalars(src + 4, dst + 4);
294 for (i = 0; i < 3; ++i) {
295 REPORTER_ASSERT(reporter, 10 == dst[i]);
296 REPORTER_ASSERT(reporter, 12 == dst[i + 4]);
297 }
298
299 c.setConcat(b, a);
300
301 d = a;
302 d.postConcat(b);
303 REPORTER_ASSERT(reporter, d == c);
304
305 c.mapScalars(src, dst); c.mapScalars(src + 4, dst + 4);
306 for (i = 0; i < 3; ++i) {
307 REPORTER_ASSERT(reporter, 20 == dst[i]);
308 REPORTER_ASSERT(reporter, 22 == dst[i + 4]);
309 }
310 }
311
test_determinant(skiatest::Reporter * reporter)312 static void test_determinant(skiatest::Reporter* reporter) {
313 SkMatrix44 a(SkMatrix44::kIdentity_Constructor);
314 REPORTER_ASSERT(reporter, nearly_equal_double(1, a.determinant()));
315 a.set(1, 1, 2);
316 REPORTER_ASSERT(reporter, nearly_equal_double(2, a.determinant()));
317 SkMatrix44 b(SkMatrix44::kUninitialized_Constructor);
318 REPORTER_ASSERT(reporter, a.invert(&b));
319 REPORTER_ASSERT(reporter, nearly_equal_double(0.5, b.determinant()));
320 SkMatrix44 c = b = a;
321 c.set(0, 1, 4);
322 b.set(1, 0, 4);
323 REPORTER_ASSERT(reporter,
324 nearly_equal_double(a.determinant(),
325 b.determinant()));
326 SkMatrix44 d = a;
327 d.set(0, 0, 8);
328 REPORTER_ASSERT(reporter, nearly_equal_double(16, d.determinant()));
329
330 SkMatrix44 e = a;
331 e.postConcat(d);
332 REPORTER_ASSERT(reporter, nearly_equal_double(32, e.determinant()));
333 e.set(0, 0, 0);
334 REPORTER_ASSERT(reporter, nearly_equal_double(0, e.determinant()));
335 }
336
test_invert(skiatest::Reporter * reporter)337 static void test_invert(skiatest::Reporter* reporter) {
338 SkMatrix44 inverse(SkMatrix44::kUninitialized_Constructor);
339 double inverseData[16];
340
341 SkMatrix44 identity(SkMatrix44::kIdentity_Constructor);
342 identity.invert(&inverse);
343 inverse.asRowMajord(inverseData);
344 assert16<double>(reporter, inverseData,
345 1, 0, 0, 0,
346 0, 1, 0, 0,
347 0, 0, 1, 0,
348 0, 0, 0, 1);
349
350 SkMatrix44 translation(SkMatrix44::kUninitialized_Constructor);
351 translation.setTranslate(2, 3, 4);
352 translation.invert(&inverse);
353 inverse.asRowMajord(inverseData);
354 assert16<double>(reporter, inverseData,
355 1, 0, 0, -2,
356 0, 1, 0, -3,
357 0, 0, 1, -4,
358 0, 0, 0, 1);
359
360 SkMatrix44 scale(SkMatrix44::kUninitialized_Constructor);
361 scale.setScale(2, 4, 8);
362 scale.invert(&inverse);
363 inverse.asRowMajord(inverseData);
364 assert16<double>(reporter, inverseData,
365 0.5, 0, 0, 0,
366 0, 0.25, 0, 0,
367 0, 0, 0.125, 0,
368 0, 0, 0, 1);
369
370 SkMatrix44 scaleTranslation(SkMatrix44::kUninitialized_Constructor);
371 scaleTranslation.setScale(10, 100, 1000);
372 scaleTranslation.preTranslate(2, 3, 4);
373 scaleTranslation.invert(&inverse);
374 inverse.asRowMajord(inverseData);
375 assert16<double>(reporter, inverseData,
376 0.1, 0, 0, -2,
377 0, 0.01, 0, -3,
378 0, 0, 0.001, -4,
379 0, 0, 0, 1);
380
381 SkMatrix44 rotation(SkMatrix44::kUninitialized_Constructor);
382 rotation.setRotateDegreesAbout(0, 0, 1, 90);
383 rotation.invert(&inverse);
384 SkMatrix44 expected(SkMatrix44::kUninitialized_Constructor);
385 double expectedInverseRotation[16] =
386 {0, 1, 0, 0,
387 -1, 0, 0, 0,
388 0, 0, 1, 0,
389 0, 0, 0, 1};
390 expected.setRowMajord(expectedInverseRotation);
391 REPORTER_ASSERT(reporter, nearly_equal(expected, inverse));
392
393 SkMatrix44 affine(SkMatrix44::kUninitialized_Constructor);
394 affine.setRotateDegreesAbout(0, 0, 1, 90);
395 affine.preScale(10, 20, 100);
396 affine.preTranslate(2, 3, 4);
397 affine.invert(&inverse);
398 double expectedInverseAffine[16] =
399 {0, 0.1, 0, -2,
400 -0.05, 0, 0, -3,
401 0, 0, 0.01, -4,
402 0, 0, 0, 1};
403 expected.setRowMajord(expectedInverseAffine);
404 REPORTER_ASSERT(reporter, nearly_equal(expected, inverse));
405
406 SkMatrix44 perspective(SkMatrix44::kIdentity_Constructor);
407 perspective.setDouble(3, 2, 1.0);
408 perspective.invert(&inverse);
409 double expectedInversePerspective[16] =
410 {1, 0, 0, 0,
411 0, 1, 0, 0,
412 0, 0, 1, 0,
413 0, 0, -1, 1};
414 expected.setRowMajord(expectedInversePerspective);
415 REPORTER_ASSERT(reporter, nearly_equal(expected, inverse));
416
417 SkMatrix44 affineAndPerspective(SkMatrix44::kIdentity_Constructor);
418 affineAndPerspective.setDouble(3, 2, 1.0);
419 affineAndPerspective.preScale(10, 20, 100);
420 affineAndPerspective.preTranslate(2, 3, 4);
421 affineAndPerspective.invert(&inverse);
422 double expectedInverseAffineAndPerspective[16] =
423 {0.1, 0, 2, -2,
424 0, 0.05, 3, -3,
425 0, 0, 4.01, -4,
426 0, 0, -1, 1};
427 expected.setRowMajord(expectedInverseAffineAndPerspective);
428 REPORTER_ASSERT(reporter, nearly_equal(expected, inverse));
429 }
430
test_transpose(skiatest::Reporter * reporter)431 static void test_transpose(skiatest::Reporter* reporter) {
432 SkMatrix44 a(SkMatrix44::kUninitialized_Constructor);
433 SkMatrix44 b(SkMatrix44::kUninitialized_Constructor);
434
435 int i = 0;
436 for (int row = 0; row < 4; ++row) {
437 for (int col = 0; col < 4; ++col) {
438 a.setDouble(row, col, i);
439 b.setDouble(col, row, i++);
440 }
441 }
442
443 a.transpose();
444 REPORTER_ASSERT(reporter, nearly_equal(a, b));
445 }
446
test_get_set_double(skiatest::Reporter * reporter)447 static void test_get_set_double(skiatest::Reporter* reporter) {
448 SkMatrix44 a(SkMatrix44::kUninitialized_Constructor);
449 for (int row = 0; row < 4; ++row) {
450 for (int col = 0; col < 4; ++col) {
451 a.setDouble(row, col, 3.141592653589793);
452 REPORTER_ASSERT(reporter,
453 nearly_equal_double(3.141592653589793,
454 a.getDouble(row, col)));
455 a.setDouble(row, col, 0);
456 REPORTER_ASSERT(reporter,
457 nearly_equal_double(0, a.getDouble(row, col)));
458 }
459 }
460 }
461
test_set_row_col_major(skiatest::Reporter * reporter)462 static void test_set_row_col_major(skiatest::Reporter* reporter) {
463 SkMatrix44 a(SkMatrix44::kUninitialized_Constructor);
464 SkMatrix44 b(SkMatrix44::kUninitialized_Constructor);
465
466 for (int row = 0; row < 4; ++row) {
467 for (int col = 0; col < 4; ++col) {
468 a.setDouble(row, col, row * 4 + col);
469 }
470 }
471
472 double bufferd[16];
473 float bufferf[16];
474 a.asColMajord(bufferd);
475 b.setColMajord(bufferd);
476 REPORTER_ASSERT(reporter, nearly_equal(a, b));
477 b.setRowMajord(bufferd);
478 b.transpose();
479 REPORTER_ASSERT(reporter, nearly_equal(a, b));
480 a.asColMajorf(bufferf);
481 b.setColMajorf(bufferf);
482 REPORTER_ASSERT(reporter, nearly_equal(a, b));
483 b.setRowMajorf(bufferf);
484 b.transpose();
485 REPORTER_ASSERT(reporter, nearly_equal(a, b));
486 }
487
test_3x3_conversion(skiatest::Reporter * reporter)488 static void test_3x3_conversion(skiatest::Reporter* reporter) {
489 SkMScalar values4x4[16] = { 1, 2, 3, 4,
490 5, 6, 7, 8,
491 9, 10, 11, 12,
492 13, 14, 15, 16 };
493 SkScalar values3x3[9] = { 1, 2, 4,
494 5, 6, 8,
495 13, 14, 16 };
496 SkMScalar values4x4flattened[16] = { 1, 2, 0, 4,
497 5, 6, 0, 8,
498 0, 0, 1, 0,
499 13, 14, 0, 16 };
500 SkMatrix44 a44(SkMatrix44::kUninitialized_Constructor);
501 a44.setRowMajor(values4x4);
502
503 SkMatrix a33 = a44;
504 SkMatrix expected33;
505 for (int i = 0; i < 9; i++) expected33[i] = values3x3[i];
506 REPORTER_ASSERT(reporter, expected33 == a33);
507
508 SkMatrix44 a44flattened = a33;
509 SkMatrix44 expected44flattened(SkMatrix44::kUninitialized_Constructor);
510 expected44flattened.setRowMajor(values4x4flattened);
511 REPORTER_ASSERT(reporter, nearly_equal(a44flattened, expected44flattened));
512
513 // Test that a point with a Z value of 0 is transformed the same way.
514 SkScalar vec4[4] = { 2, 4, 0, 8 };
515 SkScalar vec3[3] = { 2, 4, 8 };
516
517 SkScalar vec4transformed[4];
518 SkScalar vec3transformed[3];
519 SkScalar vec4transformed2[4];
520 a44.mapScalars(vec4, vec4transformed);
521 a33.mapHomogeneousPoints(vec3transformed, vec3, 1);
522 a44flattened.mapScalars(vec4, vec4transformed2);
523 REPORTER_ASSERT(reporter, nearly_equal_scalar(vec4transformed[0], vec3transformed[0]));
524 REPORTER_ASSERT(reporter, nearly_equal_scalar(vec4transformed[1], vec3transformed[1]));
525 REPORTER_ASSERT(reporter, nearly_equal_scalar(vec4transformed[3], vec3transformed[2]));
526 REPORTER_ASSERT(reporter, nearly_equal_scalar(vec4transformed[0], vec4transformed2[0]));
527 REPORTER_ASSERT(reporter, nearly_equal_scalar(vec4transformed[1], vec4transformed2[1]));
528 REPORTER_ASSERT(reporter, !nearly_equal_scalar(vec4transformed[2], vec4transformed2[2]));
529 REPORTER_ASSERT(reporter, nearly_equal_scalar(vec4transformed[3], vec4transformed2[3]));
530 }
531
DEF_TEST(Matrix44,reporter)532 DEF_TEST(Matrix44, reporter) {
533 SkMatrix44 mat(SkMatrix44::kUninitialized_Constructor);
534 SkMatrix44 inverse(SkMatrix44::kUninitialized_Constructor);
535 SkMatrix44 iden1(SkMatrix44::kUninitialized_Constructor);
536 SkMatrix44 iden2(SkMatrix44::kUninitialized_Constructor);
537 SkMatrix44 rot(SkMatrix44::kUninitialized_Constructor);
538
539 mat.setTranslate(1, 1, 1);
540 mat.invert(&inverse);
541 iden1.setConcat(mat, inverse);
542 REPORTER_ASSERT(reporter, is_identity(iden1));
543
544 mat.setScale(2, 2, 2);
545 mat.invert(&inverse);
546 iden1.setConcat(mat, inverse);
547 REPORTER_ASSERT(reporter, is_identity(iden1));
548
549 mat.setScale(SK_MScalar1/2, SK_MScalar1/2, SK_MScalar1/2);
550 mat.invert(&inverse);
551 iden1.setConcat(mat, inverse);
552 REPORTER_ASSERT(reporter, is_identity(iden1));
553
554 mat.setScale(3, 3, 3);
555 rot.setRotateDegreesAbout(0, 0, -1, 90);
556 mat.postConcat(rot);
557 REPORTER_ASSERT(reporter, mat.invert(NULL));
558 mat.invert(&inverse);
559 iden1.setConcat(mat, inverse);
560 REPORTER_ASSERT(reporter, is_identity(iden1));
561 iden2.setConcat(inverse, mat);
562 REPORTER_ASSERT(reporter, is_identity(iden2));
563
564 // test tiny-valued matrix inverse
565 mat.reset();
566 mat.setScale(1.0e-12, 1.0e-12, 1.0e-12);
567 rot.setRotateDegreesAbout(0, 0, -1, 90);
568 mat.postConcat(rot);
569 mat.postTranslate(1.0e-12, 1.0e-12, 1.0e-12);
570 REPORTER_ASSERT(reporter, mat.invert(NULL));
571 mat.invert(&inverse);
572 iden1.setConcat(mat, inverse);
573 REPORTER_ASSERT(reporter, is_identity(iden1));
574
575 // test mixed-valued matrix inverse
576 mat.reset();
577 mat.setScale(1.0e-10, 3.0, 1.0e+10);
578 rot.setRotateDegreesAbout(0, 0, -1, 90);
579 mat.postConcat(rot);
580 mat.postTranslate(1.0e+10, 3.0, 1.0e-10);
581 REPORTER_ASSERT(reporter, mat.invert(NULL));
582 mat.invert(&inverse);
583 iden1.setConcat(mat, inverse);
584 REPORTER_ASSERT(reporter, is_identity(iden1));
585
586 // test degenerate matrix
587 mat.reset();
588 mat.set3x3(1.0, 1.0, 0.0, 1.0, 0.0, 0.0, 0.0, 1.0, 0.0);
589 REPORTER_ASSERT(reporter, !mat.invert(NULL));
590
591 // test rol/col Major getters
592 {
593 mat.setTranslate(2, 3, 4);
594 float dataf[16];
595 double datad[16];
596
597 mat.asColMajorf(dataf);
598 assert16<float>(reporter, dataf,
599 1, 0, 0, 0,
600 0, 1, 0, 0,
601 0, 0, 1, 0,
602 2, 3, 4, 1);
603 mat.asColMajord(datad);
604 assert16<double>(reporter, datad, 1, 0, 0, 0,
605 0, 1, 0, 0,
606 0, 0, 1, 0,
607 2, 3, 4, 1);
608 mat.asRowMajorf(dataf);
609 assert16<float>(reporter, dataf, 1, 0, 0, 2,
610 0, 1, 0, 3,
611 0, 0, 1, 4,
612 0, 0, 0, 1);
613 mat.asRowMajord(datad);
614 assert16<double>(reporter, datad, 1, 0, 0, 2,
615 0, 1, 0, 3,
616 0, 0, 1, 4,
617 0, 0, 0, 1);
618 }
619
620 test_concat(reporter);
621
622 if (false) { // avoid bit rot, suppress warning (working on making this pass)
623 test_common_angles(reporter);
624 }
625
626 test_constructor(reporter);
627 test_gettype(reporter);
628 test_determinant(reporter);
629 test_invert(reporter);
630 test_transpose(reporter);
631 test_get_set_double(reporter);
632 test_set_row_col_major(reporter);
633 test_translate(reporter);
634 test_scale(reporter);
635 test_map2(reporter);
636 test_3x3_conversion(reporter);
637 }
638