GCC Code Coverage Report


Directory: ./
File: openvdb/openvdb/unittest/TestPrePostAPI.cc
Date: 2022-07-25 17:40:05
Exec Total Coverage
Lines: 319 319 100.0%
Functions: 7 7 100.0%
Branches: 376 2374 15.8%

Line Branch Exec Source
1 // Copyright Contributors to the OpenVDB Project
2 // SPDX-License-Identifier: MPL-2.0
3
4 #include <openvdb/Exceptions.h>
5 #include <openvdb/math/Mat4.h>
6 #include <openvdb/math/Maps.h>
7 #include <openvdb/math/Transform.h>
8 #include <openvdb/util/MapsUtil.h>
9
10 #include <gtest/gtest.h>
11
12
13 7 class TestPrePostAPI: public ::testing::Test
14 {
15 };
16
17
18
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1 TEST_F(TestPrePostAPI, testMat4)
19 {
20 using namespace openvdb::math;
21
22 double TOL = 1e-7;
23
24
25 1 Mat4d m = Mat4d::identity();
26 1 Mat4d minv = Mat4d::identity();
27
28 // create matrix with pre-API
29 // Translate Shear Rotate Translate Scale matrix
30 1 m.preScale(Vec3d(1, 2, 3));
31 1 m.preTranslate(Vec3d(2, 3, 4));
32 1 m.preRotate(X_AXIS, 20);
33 m.preShear(X_AXIS, Y_AXIS, 2);
34 1 m.preTranslate(Vec3d(2, 2, 2));
35
36 // create inverse using the post-API
37 1 minv.postScale(Vec3d(1.f, 1.f/2.f, 1.f/3.f));
38 1 minv.postTranslate(-Vec3d(2, 3, 4));
39 1 minv.postRotate(X_AXIS,-20);
40 minv.postShear(X_AXIS, Y_AXIS, -2);
41 1 minv.postTranslate(-Vec3d(2, 2, 2));
42
43 1 Mat4d mtest = minv * m;
44
45 // verify that the results is an identity
46
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1 EXPECT_NEAR(mtest[0][0], 1, TOL);
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1 EXPECT_NEAR(mtest[1][1], 1, TOL);
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1 EXPECT_NEAR(mtest[2][2], 1, TOL);
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1 EXPECT_NEAR(mtest[0][1], 0, TOL);
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1 EXPECT_NEAR(mtest[0][2], 0, TOL);
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1 EXPECT_NEAR(mtest[0][3], 0, TOL);
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1 EXPECT_NEAR(mtest[1][0], 0, TOL);
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1 EXPECT_NEAR(mtest[1][2], 0, TOL);
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1 EXPECT_NEAR(mtest[1][3], 0, TOL);
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1 EXPECT_NEAR(mtest[2][0], 0, TOL);
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1 EXPECT_NEAR(mtest[2][1], 0, TOL);
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1 EXPECT_NEAR(mtest[2][3], 0, TOL);
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1 EXPECT_NEAR(mtest[3][0], 0, TOL);
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1 EXPECT_NEAR(mtest[3][1], 0, TOL);
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1 EXPECT_NEAR(mtest[3][2], 0, TOL);
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1 EXPECT_NEAR(mtest[3][3], 1, TOL);
65 1 }
66
67
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2 TEST_F(TestPrePostAPI, testMat4Rotate)
69 {
70 using namespace openvdb::math;
71
72 double TOL = 1e-7;
73
74 Mat4d rx, ry, rz;
75 const double angle1 = 20. * M_PI / 180.;
76 const double angle2 = 64. * M_PI / 180.;
77 const double angle3 = 125. *M_PI / 180.;
78 1 rx.setToRotation(Vec3d(1,0,0), angle1);
79 1 ry.setToRotation(Vec3d(0,1,0), angle2);
80 1 rz.setToRotation(Vec3d(0,0,1), angle3);
81
82 1 Mat4d shear = Mat4d::identity();
83 shear.setToShear(X_AXIS, Z_AXIS, 2.0);
84 shear.preShear(Y_AXIS, X_AXIS, 3.0);
85 1 shear.preTranslate(Vec3d(2,4,1));
86
87 1 const Mat4d preResult = rz*ry*rx*shear;
88 1 Mat4d mpre = shear;
89 1 mpre.preRotate(X_AXIS, angle1);
90 1 mpre.preRotate(Y_AXIS, angle2);
91 1 mpre.preRotate(Z_AXIS, angle3);
92
93
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1 EXPECT_TRUE( mpre.eq(preResult, TOL) );
94
95 1 const Mat4d postResult = shear*rx*ry*rz;
96 1 Mat4d mpost = shear;
97 1 mpost.postRotate(X_AXIS, angle1);
98 1 mpost.postRotate(Y_AXIS, angle2);
99 1 mpost.postRotate(Z_AXIS, angle3);
100
101
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1 EXPECT_TRUE( mpost.eq(postResult, TOL) );
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1 EXPECT_TRUE( !mpost.eq(mpre, TOL));
104
105 1 }
106
107
108
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2 TEST_F(TestPrePostAPI, testMat4Scale)
109 {
110 using namespace openvdb::math;
111
112 double TOL = 1e-7;
113
114 Mat4d mpre, mpost;
115 double* pre = mpre.asPointer();
116 double* post = mpost.asPointer();
117
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17 for (int i = 0; i < 16; ++i) {
118 16 pre[i] = double(i);
119 16 post[i] = double(i);
120 }
121
122 1 Mat4d scale = Mat4d::identity();
123 scale.setToScale(Vec3d(2, 3, 5.5));
124 1 Mat4d preResult = scale * mpre;
125 1 Mat4d postResult = mpost * scale;
126
127 1 mpre.preScale(Vec3d(2, 3, 5.5));
128 1 mpost.postScale(Vec3d(2, 3, 5.5));
129
130
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1 EXPECT_TRUE( mpre.eq(preResult, TOL) );
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1 EXPECT_TRUE( mpost.eq(postResult, TOL) );
132 1 }
133
134
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2 TEST_F(TestPrePostAPI, testMat4Shear)
136 {
137 using namespace openvdb::math;
138
139 double TOL = 1e-7;
140
141 Mat4d mpre, mpost;
142 double* pre = mpre.asPointer();
143 double* post = mpost.asPointer();
144
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17 for (int i = 0; i < 16; ++i) {
145 16 pre[i] = double(i);
146 16 post[i] = double(i);
147 }
148
149 1 Mat4d shear = Mat4d::identity();
150 shear.setToShear(X_AXIS, Z_AXIS, 13.);
151 1 Mat4d preResult = shear * mpre;
152 1 Mat4d postResult = mpost * shear;
153
154 mpre.preShear(X_AXIS, Z_AXIS, 13.);
155 mpost.postShear(X_AXIS, Z_AXIS, 13.);
156
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1 EXPECT_TRUE( mpre.eq(preResult, TOL) );
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1 EXPECT_TRUE( mpost.eq(postResult, TOL) );
159 1 }
160
161
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2 TEST_F(TestPrePostAPI, testMaps)
163 {
164 using namespace openvdb::math;
165
166 double TOL = 1e-7;
167
168 { // pre translate
169 UniformScaleMap usm;
170 1 UniformScaleTranslateMap ustm;
171 ScaleMap sm;
172 ScaleTranslateMap stm;
173 1 AffineMap am;
174
175 const Vec3d trans(1,2,3);
176 1 Mat4d correct = Mat4d::identity();
177 1 correct.preTranslate(trans);
178 {
179 1 MapBase::Ptr base = usm.preTranslate(trans);
180
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2 Mat4d result = (base->getAffineMap())->getConstMat4();
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1 EXPECT_TRUE( correct.eq(result, TOL));
182 }
183 {
184
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3 const Mat4d result = ustm.preTranslate(trans)->getAffineMap()->getConstMat4();
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1 EXPECT_TRUE( correct.eq(result, TOL));
186 }
187 {
188
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3 const Mat4d result = sm.preTranslate(trans)->getAffineMap()->getConstMat4();
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1 EXPECT_TRUE( correct.eq(result, TOL));
190 }
191 {
192
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3 const Mat4d result = stm.preTranslate(trans)->getAffineMap()->getConstMat4();
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1 EXPECT_TRUE( correct.eq(result, TOL));
194 }
195 {
196
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3 const Mat4d result = am.preTranslate(trans)->getAffineMap()->getConstMat4();
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1 EXPECT_TRUE( correct.eq(result, TOL));
198 }
199 }
200 { // post translate
201 UniformScaleMap usm;
202 1 UniformScaleTranslateMap ustm;
203 ScaleMap sm;
204 ScaleTranslateMap stm;
205 1 AffineMap am;
206
207 const Vec3d trans(1,2,3);
208 1 Mat4d correct = Mat4d::identity();
209 1 correct.postTranslate(trans);
210 {
211
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3 const Mat4d result = usm.postTranslate(trans)->getAffineMap()->getConstMat4();
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1 EXPECT_TRUE( correct.eq(result, TOL));
213 }
214 {
215
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3 const Mat4d result = ustm.postTranslate(trans)->getAffineMap()->getConstMat4();
216
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1 EXPECT_TRUE( correct.eq(result, TOL));
217 }
218 {
219
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3 const Mat4d result = sm.postTranslate(trans)->getAffineMap()->getConstMat4();
220
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1 EXPECT_TRUE( correct.eq(result, TOL));
221 }
222 {
223
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3 const Mat4d result = stm.postTranslate(trans)->getAffineMap()->getConstMat4();
224
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1 EXPECT_TRUE( correct.eq(result, TOL));
225 }
226 {
227
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3 const Mat4d result = am.postTranslate(trans)->getAffineMap()->getConstMat4();
228
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1 EXPECT_TRUE( correct.eq(result, TOL));
229 }
230 }
231 { // pre scale
232 UniformScaleMap usm;
233 1 UniformScaleTranslateMap ustm;
234 ScaleMap sm;
235 ScaleTranslateMap stm;
236 1 AffineMap am;
237
238 const Vec3d scale(1,2,3);
239 1 Mat4d correct = Mat4d::identity();
240 1 correct.preScale(scale);
241 {
242
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3 const Mat4d result = usm.preScale(scale)->getAffineMap()->getConstMat4();
243
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1 EXPECT_TRUE( correct.eq(result, TOL));
244 }
245 {
246
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3 const Mat4d result = ustm.preScale(scale)->getAffineMap()->getConstMat4();
247
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1 EXPECT_TRUE( correct.eq(result, TOL));
248 }
249 {
250
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3 const Mat4d result = sm.preScale(scale)->getAffineMap()->getConstMat4();
251
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1 EXPECT_TRUE( correct.eq(result, TOL));
252 }
253 {
254
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3 const Mat4d result = stm.preScale(scale)->getAffineMap()->getConstMat4();
255
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1 EXPECT_TRUE( correct.eq(result, TOL));
256 }
257 {
258
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3 const Mat4d result = am.preScale(scale)->getAffineMap()->getConstMat4();
259
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1 EXPECT_TRUE( correct.eq(result, TOL));
260 }
261 }
262 { // post scale
263 UniformScaleMap usm;
264 1 UniformScaleTranslateMap ustm;
265 ScaleMap sm;
266 ScaleTranslateMap stm;
267 1 AffineMap am;
268
269 const Vec3d scale(1,2,3);
270 1 Mat4d correct = Mat4d::identity();
271 1 correct.postScale(scale);
272 {
273
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3 const Mat4d result = usm.postScale(scale)->getAffineMap()->getConstMat4();
274
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1 EXPECT_TRUE( correct.eq(result, TOL));
275 }
276 {
277
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3 const Mat4d result = ustm.postScale(scale)->getAffineMap()->getConstMat4();
278
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1 EXPECT_TRUE( correct.eq(result, TOL));
279 }
280 {
281
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3 const Mat4d result = sm.postScale(scale)->getAffineMap()->getConstMat4();
282
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1 EXPECT_TRUE( correct.eq(result, TOL));
283 }
284 {
285
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3 const Mat4d result = stm.postScale(scale)->getAffineMap()->getConstMat4();
286
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1 EXPECT_TRUE( correct.eq(result, TOL));
287 }
288 {
289
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3 const Mat4d result = am.postScale(scale)->getAffineMap()->getConstMat4();
290
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1 EXPECT_TRUE( correct.eq(result, TOL));
291 }
292 }
293 { // pre shear
294 UniformScaleMap usm;
295 1 UniformScaleTranslateMap ustm;
296 ScaleMap sm;
297 ScaleTranslateMap stm;
298 1 AffineMap am;
299
300 1 Mat4d correct = Mat4d::identity();
301 correct.preShear(X_AXIS, Z_AXIS, 13.);
302 {
303
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3 const Mat4d result = usm.preShear(13., X_AXIS, Z_AXIS)->getAffineMap()->getConstMat4();
304
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1 EXPECT_TRUE( correct.eq(result, TOL));
305 }
306 {
307
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3 const Mat4d result = ustm.preShear(13., X_AXIS, Z_AXIS)->getAffineMap()->getConstMat4();
308
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1 EXPECT_TRUE( correct.eq(result, TOL));
309 }
310 {
311
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3 const Mat4d result = sm.preShear(13., X_AXIS, Z_AXIS)->getAffineMap()->getConstMat4();
312
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1 EXPECT_TRUE( correct.eq(result, TOL));
313 }
314 {
315
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3 const Mat4d result = stm.preShear(13., X_AXIS, Z_AXIS)->getAffineMap()->getConstMat4();
316
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1 EXPECT_TRUE( correct.eq(result, TOL));
317 }
318 {
319
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3 const Mat4d result = am.preShear(13., X_AXIS, Z_AXIS)->getAffineMap()->getConstMat4();
320
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1 EXPECT_TRUE( correct.eq(result, TOL));
321 }
322 }
323 { // post shear
324 UniformScaleMap usm;
325 1 UniformScaleTranslateMap ustm;
326 ScaleMap sm;
327 ScaleTranslateMap stm;
328 1 AffineMap am;
329
330 1 Mat4d correct = Mat4d::identity();
331 correct.postShear(X_AXIS, Z_AXIS, 13.);
332 {
333
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3 const Mat4d result = usm.postShear(13., X_AXIS, Z_AXIS)->getAffineMap()->getConstMat4();
334
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1 EXPECT_TRUE( correct.eq(result, TOL));
335 }
336 {
337 const Mat4d result =
338
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3 ustm.postShear(13., X_AXIS, Z_AXIS)->getAffineMap()->getConstMat4();
339
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1 EXPECT_TRUE( correct.eq(result, TOL));
340 }
341 {
342
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3 const Mat4d result = sm.postShear(13., X_AXIS, Z_AXIS)->getAffineMap()->getConstMat4();
343
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1 EXPECT_TRUE( correct.eq(result, TOL));
344 }
345 {
346
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3 const Mat4d result = stm.postShear(13., X_AXIS, Z_AXIS)->getAffineMap()->getConstMat4();
347
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1 EXPECT_TRUE( correct.eq(result, TOL));
348 }
349 {
350
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3 const Mat4d result = am.postShear(13., X_AXIS, Z_AXIS)->getAffineMap()->getConstMat4();
351
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1 EXPECT_TRUE( correct.eq(result, TOL));
352 }
353 }
354 { // pre rotate
355 const double angle1 = 20. * M_PI / 180.;
356 UniformScaleMap usm;
357 1 UniformScaleTranslateMap ustm;
358 ScaleMap sm;
359 ScaleTranslateMap stm;
360 1 AffineMap am;
361
362 1 Mat4d correct = Mat4d::identity();
363 1 correct.preRotate(X_AXIS, angle1);
364 {
365
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3 const Mat4d result = usm.preRotate(angle1, X_AXIS)->getAffineMap()->getConstMat4();
366
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1 EXPECT_TRUE( correct.eq(result, TOL));
367 }
368 {
369
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3 const Mat4d result = ustm.preRotate(angle1, X_AXIS)->getAffineMap()->getConstMat4();
370
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1 EXPECT_TRUE( correct.eq(result, TOL));
371 }
372 {
373
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3 const Mat4d result = sm.preRotate(angle1, X_AXIS)->getAffineMap()->getConstMat4();
374
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1 EXPECT_TRUE( correct.eq(result, TOL));
375 }
376 {
377
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3 const Mat4d result = stm.preRotate(angle1, X_AXIS)->getAffineMap()->getConstMat4();
378
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1 EXPECT_TRUE( correct.eq(result, TOL));
379 }
380 {
381
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3 const Mat4d result = am.preRotate(angle1, X_AXIS)->getAffineMap()->getConstMat4();
382
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1 EXPECT_TRUE( correct.eq(result, TOL));
383 }
384 }
385 { // post rotate
386 const double angle1 = 20. * M_PI / 180.;
387 UniformScaleMap usm;
388 1 UniformScaleTranslateMap ustm;
389 ScaleMap sm;
390 ScaleTranslateMap stm;
391 1 AffineMap am;
392
393 1 Mat4d correct = Mat4d::identity();
394 1 correct.postRotate(X_AXIS, angle1);
395 {
396
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3 const Mat4d result = usm.postRotate(angle1, X_AXIS)->getAffineMap()->getConstMat4();
397
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1 EXPECT_TRUE( correct.eq(result, TOL));
398 }
399 {
400
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3 const Mat4d result = ustm.postRotate(angle1, X_AXIS)->getAffineMap()->getConstMat4();
401
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1 EXPECT_TRUE( correct.eq(result, TOL));
402 }
403 {
404
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3 const Mat4d result = sm.postRotate(angle1, X_AXIS)->getAffineMap()->getConstMat4();
405
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1 EXPECT_TRUE( correct.eq(result, TOL));
406 }
407 {
408
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3 const Mat4d result = stm.postRotate(angle1, X_AXIS)->getAffineMap()->getConstMat4();
409
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1 EXPECT_TRUE( correct.eq(result, TOL));
410 }
411 {
412
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3 const Mat4d result = am.postRotate(angle1, X_AXIS)->getAffineMap()->getConstMat4();
413
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1 EXPECT_TRUE( correct.eq(result, TOL));
414 }
415 }
416 1 }
417
418
419
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1 TEST_F(TestPrePostAPI, testLinearTransform)
420 {
421 using namespace openvdb::math;
422
423 double TOL = 1e-7;
424 {
425 1 Transform::Ptr t = Transform::createLinearTransform(1.f);
426
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1 Transform::Ptr tinv = Transform::createLinearTransform(1.f);
427
428 // create matrix with pre-API
429 // Translate Shear Rotate Translate Scale matrix
430
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1 t->preScale(Vec3d(1, 2, 3));
431
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1 t->preTranslate(Vec3d(2, 3, 4));
432
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1 t->preRotate(20);
433
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1 t->preShear(2, X_AXIS, Y_AXIS);
434
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1 t->preTranslate(Vec3d(2, 2, 2));
435
436 // create inverse using the post-API
437
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1 tinv->postScale(Vec3d(1.f, 1.f/2.f, 1.f/3.f));
438
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1 tinv->postTranslate(-Vec3d(2, 3, 4));
439
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1 tinv->postRotate(-20);
440
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1 tinv->postShear(-2, X_AXIS, Y_AXIS);
441
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1 tinv->postTranslate(-Vec3d(2, 2, 2));
442
443
444 // test this by verifying that equvilent interal matrix
445 // represenations are inverses
446
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3 Mat4d m = t->baseMap()->getAffineMap()->getMat4();
447
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2 Mat4d minv = tinv->baseMap()->getAffineMap()->getMat4();
448
449 1 Mat4d mtest = minv * m;
450
451 // verify that the results is an identity
452
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1 EXPECT_NEAR(mtest[0][0], 1, TOL);
453
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1 EXPECT_NEAR(mtest[1][1], 1, TOL);
454
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1 EXPECT_NEAR(mtest[2][2], 1, TOL);
455
456
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1 EXPECT_NEAR(mtest[0][1], 0, TOL);
457
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1 EXPECT_NEAR(mtest[0][2], 0, TOL);
458
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1 EXPECT_NEAR(mtest[0][3], 0, TOL);
459
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1 EXPECT_NEAR(mtest[1][0], 0, TOL);
460
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1 EXPECT_NEAR(mtest[1][2], 0, TOL);
461
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1 EXPECT_NEAR(mtest[1][3], 0, TOL);
462
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1 EXPECT_NEAR(mtest[2][0], 0, TOL);
463
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1 EXPECT_NEAR(mtest[2][1], 0, TOL);
464
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1 EXPECT_NEAR(mtest[2][3], 0, TOL);
465
466
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1 EXPECT_NEAR(mtest[3][0], 0, TOL);
467
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1 EXPECT_NEAR(mtest[3][1], 0, TOL);
468
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1 EXPECT_NEAR(mtest[3][2], 0, TOL);
469
470
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1 EXPECT_NEAR(mtest[3][3], 1, TOL);
471 }
472
473 {
474 1 Transform::Ptr t = Transform::createLinearTransform(1.f);
475
476 1 Mat4d m = Mat4d::identity();
477
478 // create matrix with pre-API
479 // Translate Shear Rotate Translate Scale matrix
480 1 m.preScale(Vec3d(1, 2, 3));
481 1 m.preTranslate(Vec3d(2, 3, 4));
482 1 m.preRotate(X_AXIS, 20);
483 m.preShear(X_AXIS, Y_AXIS, 2);
484
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1 m.preTranslate(Vec3d(2, 2, 2));
485
486
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1 t->preScale(Vec3d(1,2,3));
487
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1 t->preMult(m);
488
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1 t->postMult(m);
489
490 1 Mat4d minv = Mat4d::identity();
491
492 // create inverse using the post-API
493 1 minv.postScale(Vec3d(1.f, 1.f/2.f, 1.f/3.f));
494 1 minv.postTranslate(-Vec3d(2, 3, 4));
495 1 minv.postRotate(X_AXIS,-20);
496 minv.postShear(X_AXIS, Y_AXIS, -2);
497
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1 minv.postTranslate(-Vec3d(2, 2, 2));
498
499
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1 t->preMult(minv);
500
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1 t->postMult(minv);
501
502
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2 Mat4d mtest = t->baseMap()->getAffineMap()->getMat4();
503
504
505 // verify that the results is the scale
506
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1 EXPECT_NEAR(mtest[0][0], 1, TOL);
507
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1 EXPECT_NEAR(mtest[1][1], 2, TOL);
508
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1 EXPECT_NEAR(mtest[2][2], 3, 1e-6);
509
510
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1 EXPECT_NEAR(mtest[0][1], 0, TOL);
511
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1 EXPECT_NEAR(mtest[0][2], 0, TOL);
512
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1 EXPECT_NEAR(mtest[0][3], 0, TOL);
513
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1 EXPECT_NEAR(mtest[1][0], 0, TOL);
514
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1 EXPECT_NEAR(mtest[1][2], 0, TOL);
515
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1 EXPECT_NEAR(mtest[1][3], 0, TOL);
516
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1 EXPECT_NEAR(mtest[2][0], 0, TOL);
517
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1 EXPECT_NEAR(mtest[2][1], 0, TOL);
518
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1 EXPECT_NEAR(mtest[2][3], 0, TOL);
519
520
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1 EXPECT_NEAR(mtest[3][0], 0, 1e-6);
521
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1 EXPECT_NEAR(mtest[3][1], 0, 1e-6);
522
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1 EXPECT_NEAR(mtest[3][2], 0, TOL);
523
524
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1 EXPECT_NEAR(mtest[3][3], 1, TOL);
525 }
526
527
528 1 }
529
530
531
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2 TEST_F(TestPrePostAPI, testFrustumTransform)
532 {
533 using namespace openvdb::math;
534
535 using BBoxd = BBox<Vec3d>;
536
537 double TOL = 1e-7;
538 {
539
540 1 BBoxd bbox(Vec3d(-5,-5,0), Vec3d(5,5,10));
541 Transform::Ptr t = Transform::createFrustumTransform(
542 1 bbox, /* taper*/ 1, /*depth*/10, /* voxel size */1.f);
543 Transform::Ptr tinv = Transform::createFrustumTransform(
544
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1 bbox, /* taper*/ 1, /*depth*/10, /* voxel size */1.f);
545
546
547 // create matrix with pre-API
548 // Translate Shear Rotate Translate Scale matrix
549
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1 t->preScale(Vec3d(1, 2, 3));
550
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1 t->preTranslate(Vec3d(2, 3, 4));
551
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1 t->preRotate(20);
552
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1 t->preShear(2, X_AXIS, Y_AXIS);
553
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1 t->preTranslate(Vec3d(2, 2, 2));
554
555 // create inverse using the post-API
556
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1 tinv->postScale(Vec3d(1.f, 1.f/2.f, 1.f/3.f));
557
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1 tinv->postTranslate(-Vec3d(2, 3, 4));
558
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1 tinv->postRotate(-20);
559
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1 tinv->postShear(-2, X_AXIS, Y_AXIS);
560
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1 tinv->postTranslate(-Vec3d(2, 2, 2));
561
562
563 // test this by verifying that equvilent interal matrix
564 // represenations are inverses
565 NonlinearFrustumMap::Ptr frustum =
566 1 openvdb::StaticPtrCast<NonlinearFrustumMap, MapBase>(t->baseMap());
567 NonlinearFrustumMap::Ptr frustuminv =
568 1 openvdb::StaticPtrCast<NonlinearFrustumMap, MapBase>(tinv->baseMap());
569
570 Mat4d m = frustum->secondMap().getMat4();
571 Mat4d minv = frustuminv->secondMap().getMat4();
572
573 1 Mat4d mtest = minv * m;
574
575 // verify that the results is an identity
576
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1 EXPECT_NEAR(mtest[0][0], 1, TOL);
577
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1 EXPECT_NEAR(mtest[1][1], 1, TOL);
578
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1 EXPECT_NEAR(mtest[2][2], 1, TOL);
579
580
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1 EXPECT_NEAR(mtest[0][1], 0, TOL);
581
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1 EXPECT_NEAR(mtest[0][2], 0, TOL);
582
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1 EXPECT_NEAR(mtest[0][3], 0, TOL);
583
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1 EXPECT_NEAR(mtest[1][0], 0, TOL);
584
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1 EXPECT_NEAR(mtest[1][2], 0, TOL);
585
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1 EXPECT_NEAR(mtest[1][3], 0, TOL);
586
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1 EXPECT_NEAR(mtest[2][0], 0, TOL);
587
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1 EXPECT_NEAR(mtest[2][1], 0, TOL);
588
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1 EXPECT_NEAR(mtest[2][3], 0, TOL);
589
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1 EXPECT_NEAR(mtest[3][0], 0, TOL);
591
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1 EXPECT_NEAR(mtest[3][1], 0, TOL);
592
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1 EXPECT_NEAR(mtest[3][2], 0, TOL);
593
594
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1 EXPECT_NEAR(mtest[3][3], 1, TOL);
595 }
596
597 {
598
599 1 BBoxd bbox(Vec3d(-5,-5,0), Vec3d(5,5,10));
600 Transform::Ptr t = Transform::createFrustumTransform(
601 1 bbox, /* taper*/ 1, /*depth*/10, /* voxel size */1.f);
602
603
604 1 Mat4d m = Mat4d::identity();
605
606 // create matrix with pre-API
607 // Translate Shear Rotate Translate Scale matrix
608 1 m.preScale(Vec3d(1, 2, 3));
609 1 m.preTranslate(Vec3d(2, 3, 4));
610 1 m.preRotate(X_AXIS, 20);
611 m.preShear(X_AXIS, Y_AXIS, 2);
612
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1 m.preTranslate(Vec3d(2, 2, 2));
613
614
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1 t->preScale(Vec3d(1,2,3));
615
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1 t->preMult(m);
616
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1 t->postMult(m);
617
618 1 Mat4d minv = Mat4d::identity();
619
620 // create inverse using the post-API
621 1 minv.postScale(Vec3d(1.f, 1.f/2.f, 1.f/3.f));
622 1 minv.postTranslate(-Vec3d(2, 3, 4));
623 1 minv.postRotate(X_AXIS,-20);
624 minv.postShear(X_AXIS, Y_AXIS, -2);
625
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1 minv.postTranslate(-Vec3d(2, 2, 2));
626
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1 t->preMult(minv);
628
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1 t->postMult(minv);
629
630 NonlinearFrustumMap::Ptr frustum =
631
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1 openvdb::StaticPtrCast<NonlinearFrustumMap, MapBase>(t->baseMap());
632 Mat4d mtest = frustum->secondMap().getMat4();
633
634 // verify that the results is the scale
635
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1 EXPECT_NEAR(mtest[0][0], 1, TOL);
636
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1 EXPECT_NEAR(mtest[1][1], 2, TOL);
637
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1 EXPECT_NEAR(mtest[2][2], 3, 1e-6);
638
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1 EXPECT_NEAR(mtest[0][1], 0, TOL);
640
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1 EXPECT_NEAR(mtest[0][2], 0, TOL);
641
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1 EXPECT_NEAR(mtest[0][3], 0, TOL);
642
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1 EXPECT_NEAR(mtest[1][0], 0, TOL);
643
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1 EXPECT_NEAR(mtest[1][2], 0, TOL);
644
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1 EXPECT_NEAR(mtest[1][3], 0, TOL);
645
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1 EXPECT_NEAR(mtest[2][0], 0, TOL);
646
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1 EXPECT_NEAR(mtest[2][1], 0, TOL);
647
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1 EXPECT_NEAR(mtest[2][3], 0, TOL);
648
649
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1 EXPECT_NEAR(mtest[3][0], 0, 1e-6);
650
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1 EXPECT_NEAR(mtest[3][1], 0, 1e-6);
651
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1 EXPECT_NEAR(mtest[3][2], 0, TOL);
652
653
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1 EXPECT_NEAR(mtest[3][3], 1, TOL);
654 }
655
656
657 1 }
658