| Flutter Impeller |

geometry_unittests.cc
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1 // Copyright 2013 The Flutter Authors. All rights reserved.
2 // Use of this source code is governed by a BSD-style license that can be
3 // found in the LICENSE file.
4
5 #include "gtest/gtest.h"
6 #include "impeller/geometry/geometry_asserts.h"
7
8 #include <limits>
9 #include <map>
10 #include <sstream>
11 #include <type_traits>
12
13 #include "flutter/fml/build_config.h"
14 #include "flutter/testing/testing.h"
15 #include "impeller/geometry/color.h"
16 #include "impeller/geometry/constants.h"
17 #include "impeller/geometry/gradient.h"
18 #include "impeller/geometry/half.h"
19 #include "impeller/geometry/point.h"
20 #include "impeller/geometry/rect.h"
21 #include "impeller/geometry/scalar.h"
22 #include "impeller/geometry/separated_vector.h"
23 #include "impeller/geometry/size.h"
24
25 // TODO(zanderso): https://github.com/flutter/flutter/issues/127701
26 // NOLINTBEGIN(bugprone-unchecked-optional-access)
27
28 namespace impeller {
29 namespace testing {
30
31 TEST(GeometryTest, ScalarNearlyEqual) {
32 ASSERT_FALSE(ScalarNearlyEqual(0.0021f, 0.001f));
33 ASSERT_TRUE(ScalarNearlyEqual(0.0019f, 0.001f));
34 ASSERT_TRUE(ScalarNearlyEqual(0.002f, 0.001f, 0.0011f));
35 ASSERT_FALSE(ScalarNearlyEqual(0.002f, 0.001f, 0.0009f));
36 ASSERT_TRUE(ScalarNearlyEqual(
37 1.0f, 1.0f + std::numeric_limits<float>::epsilon() * 4));
38 }
39
40 TEST(GeometryTest, MakeColumn) {
41 auto matrix = Matrix::MakeColumn(1, 2, 3, 4, //
42 5, 6, 7, 8, //
43 9, 10, 11, 12, //
44 13, 14, 15, 16);
45
46 auto expect = Matrix{1, 2, 3, 4, //
47 5, 6, 7, 8, //
48 9, 10, 11, 12, //
49 13, 14, 15, 16};
50
51 ASSERT_TRUE(matrix == expect);
52 }
53
54 TEST(GeometryTest, MakeRow) {
55 auto matrix = Matrix::MakeRow(1, 2, 3, 4, //
56 5, 6, 7, 8, //
57 9, 10, 11, 12, //
58 13, 14, 15, 16);
59
60 auto expect = Matrix{1, 5, 9, 13, //
61 2, 6, 10, 14, //
62 3, 7, 11, 15, //
63 4, 8, 12, 16};
64
65 ASSERT_TRUE(matrix == expect);
66 }
67
68 TEST(GeometryTest, RotationMatrix) {
69 auto rotation = Matrix::MakeRotationZ(Radians{kPiOver4});
70 // clang-format off
71 auto expect = Matrix{k1OverSqrt2, k1OverSqrt2, 0, 0,
72 -k1OverSqrt2, k1OverSqrt2, 0, 0,
73 0, 0, 1, 0,
74 0, 0, 0, 1};
75 // clang-format on
76 ASSERT_MATRIX_NEAR(rotation, expect);
77 }
78
79 TEST(GeometryTest, InvertMultMatrix) {
80 {
81 auto rotation = Matrix::MakeRotationZ(Radians{kPiOver4});
82 auto invert = rotation.Invert();
83 // clang-format off
84 auto expect = Matrix{k1OverSqrt2, -k1OverSqrt2, 0, 0,
85 k1OverSqrt2, k1OverSqrt2, 0, 0,
86 0, 0, 1, 0,
87 0, 0, 0, 1};
88 // clang-format on
89 ASSERT_MATRIX_NEAR(invert, expect);
90 }
91 {
92 auto scale = Matrix::MakeScale(Vector2{2, 4});
93 auto invert = scale.Invert();
94 auto expect = Matrix{0.5, 0, 0, 0, //
95 0, 0.25, 0, 0, //
96 0, 0, 1, 0, //
97 0, 0, 0, 1};
98 ASSERT_MATRIX_NEAR(invert, expect);
99 }
100 }
101
102 TEST(GeometryTest, MatrixBasis) {
103 auto matrix = Matrix{1, 2, 3, 4, //
104 5, 6, 7, 8, //
105 9, 10, 11, 12, //
106 13, 14, 15, 16};
107 auto basis = matrix.Basis();
108 auto expect = Matrix{1, 2, 3, 0, //
109 5, 6, 7, 0, //
110 9, 10, 11, 0, //
111 0, 0, 0, 1};
112 ASSERT_MATRIX_NEAR(basis, expect);
113 }
114
115 TEST(GeometryTest, MutliplicationMatrix) {
116 auto rotation = Matrix::MakeRotationZ(Radians{kPiOver4});
117 auto invert = rotation.Invert();
118 ASSERT_MATRIX_NEAR(rotation * invert, Matrix{});
119 }
120
121 TEST(GeometryTest, DeterminantTest) {
122 auto matrix = Matrix{3, 4, 14, 155, 2, 1, 3, 4, 2, 3, 2, 1, 1, 2, 4, 2};
123 ASSERT_EQ(matrix.GetDeterminant(), -1889);
124 }
125
126 TEST(GeometryTest, InvertMatrix) {
127 auto inverted = Matrix{10, -9, -12, 8, //
128 7, -12, 11, 22, //
129 -10, 10, 3, 6, //
130 -2, 22, 2, 1}
131 .Invert();
132
133 auto result = Matrix{
134 438.0 / 85123.0, 1751.0 / 85123.0, -7783.0 / 85123.0, 4672.0 / 85123.0,
135 393.0 / 85123.0, -178.0 / 85123.0, -570.0 / 85123.0, 4192 / 85123.0,
136 -5230.0 / 85123.0, 2802.0 / 85123.0, -3461.0 / 85123.0, 962.0 / 85123.0,
137 2690.0 / 85123.0, 1814.0 / 85123.0, 3896.0 / 85123.0, 319.0 / 85123.0};
138
139 ASSERT_MATRIX_NEAR(inverted, result);
140 }
141
142 TEST(GeometryTest, TestDecomposition) {
143 auto rotated = Matrix::MakeRotationZ(Radians{kPiOver4});
144
145 auto result = rotated.Decompose();
146
147 ASSERT_TRUE(result.has_value());
148
149 MatrixDecomposition res = result.value();
150
151 auto quaternion = Quaternion{{0.0, 0.0, 1.0}, kPiOver4};
152 ASSERT_QUATERNION_NEAR(res.rotation, quaternion);
153 }
154
155 TEST(GeometryTest, TestDecomposition2) {
156 auto rotated = Matrix::MakeRotationZ(Radians{kPiOver4});
157 auto scaled = Matrix::MakeScale({2.0, 3.0, 1.0});
158 auto translated = Matrix::MakeTranslation({-200, 750, 20});
159
160 auto result = (translated * rotated * scaled).Decompose();
161
162 ASSERT_TRUE(result.has_value());
163
164 MatrixDecomposition res = result.value();
165
166 auto quaternion = Quaternion{{0.0, 0.0, 1.0}, kPiOver4};
167
168 ASSERT_QUATERNION_NEAR(res.rotation, quaternion);
169
170 ASSERT_FLOAT_EQ(res.translation.x, -200);
171 ASSERT_FLOAT_EQ(res.translation.y, 750);
172 ASSERT_FLOAT_EQ(res.translation.z, 20);
173
174 ASSERT_FLOAT_EQ(res.scale.x, 2);
175 ASSERT_FLOAT_EQ(res.scale.y, 3);
176 ASSERT_FLOAT_EQ(res.scale.z, 1);
177 }
178
179 TEST(GeometryTest, TestRecomposition) {
180 /*
181 * Decomposition.
182 */
183 auto rotated = Matrix::MakeRotationZ(Radians{kPiOver4});
184
185 auto result = rotated.Decompose();
186
187 ASSERT_TRUE(result.has_value());
188
189 MatrixDecomposition res = result.value();
190
191 auto quaternion = Quaternion{{0.0, 0.0, 1.0}, kPiOver4};
192
193 ASSERT_QUATERNION_NEAR(res.rotation, quaternion);
194
195 /*
196 * Recomposition.
197 */
198 ASSERT_MATRIX_NEAR(rotated, Matrix{res});
199 }
200
201 TEST(GeometryTest, TestRecomposition2) {
202 auto matrix = Matrix::MakeTranslation({100, 100, 100}) *
203 Matrix::MakeRotationZ(Radians{kPiOver4}) *
204 Matrix::MakeScale({2.0, 2.0, 2.0});
205
206 auto result = matrix.Decompose();
207
208 ASSERT_TRUE(result.has_value());
209
210 ASSERT_MATRIX_NEAR(matrix, Matrix{result.value()});
211 }
212
213 TEST(GeometryTest, MatrixVectorMultiplication) {
214 {
215 auto matrix = Matrix::MakeTranslation({100, 100, 100}) *
216 Matrix::MakeRotationZ(Radians{kPiOver2}) *
217 Matrix::MakeScale({2.0, 2.0, 2.0});
218 auto vector = Vector4(10, 20, 30, 2);
219
220 Vector4 result = matrix * vector;
221 auto expected = Vector4(160, 220, 260, 2);
222 ASSERT_VECTOR4_NEAR(result, expected);
223 }
224
225 {
226 auto matrix = Matrix::MakeTranslation({100, 100, 100}) *
227 Matrix::MakeRotationZ(Radians{kPiOver2}) *
228 Matrix::MakeScale({2.0, 2.0, 2.0});
229 auto vector = Vector3(10, 20, 30);
230
231 Vector3 result = matrix * vector;
232 auto expected = Vector3(60, 120, 160);
233 ASSERT_VECTOR3_NEAR(result, expected);
234 }
235
236 {
237 auto matrix = Matrix::MakeTranslation({100, 100, 100}) *
238 Matrix::MakeRotationZ(Radians{kPiOver2}) *
239 Matrix::MakeScale({2.0, 2.0, 2.0});
240 auto vector = Point(10, 20);
241
242 Point result = matrix * vector;
243 auto expected = Point(60, 120);
244 ASSERT_POINT_NEAR(result, expected);
245 }
246
247 // Matrix Vector ops should respect perspective transforms.
248 {
249 auto matrix = Matrix::MakePerspective(Radians(kPiOver2), 1, 1, 100);
250 auto vector = Vector3(3, 3, -3);
251
252 Vector3 result = matrix * vector;
253 auto expected = Vector3(-1, -1, 1.3468);
254 ASSERT_VECTOR3_NEAR(result, expected);
255 }
256
257 {
258 auto matrix = Matrix::MakePerspective(Radians(kPiOver2), 1, 1, 100) *
259 Matrix::MakeTranslation(Vector3(0, 0, -3));
260 auto point = Point(3, 3);
261
262 Point result = matrix * point;
263 auto expected = Point(-1, -1);
264 ASSERT_POINT_NEAR(result, expected);
265 }
266
267 // Resolves to 0 on perspective singularity.
268 {
269 auto matrix = Matrix::MakePerspective(Radians(kPiOver2), 1, 1, 100);
270 auto point = Point(3, 3);
271
272 Point result = matrix * point;
273 auto expected = Point(0, 0);
274 ASSERT_POINT_NEAR(result, expected);
275 }
276 }
277
278 TEST(GeometryTest, MatrixMakeRotationFromQuaternion) {
279 {
280 auto matrix = Matrix::MakeRotation(Quaternion({1, 0, 0}, kPiOver2));
281 auto expected = Matrix::MakeRotationX(Radians(kPiOver2));
282 ASSERT_MATRIX_NEAR(matrix, expected);
283 }
284
285 {
286 auto matrix = Matrix::MakeRotation(Quaternion({0, 1, 0}, kPiOver2));
287 auto expected = Matrix::MakeRotationY(Radians(kPiOver2));
288 ASSERT_MATRIX_NEAR(matrix, expected);
289 }
290
291 {
292 auto matrix = Matrix::MakeRotation(Quaternion({0, 0, 1}, kPiOver2));
293 auto expected = Matrix::MakeRotationZ(Radians(kPiOver2));
294 ASSERT_MATRIX_NEAR(matrix, expected);
295 }
296 }
297
298 TEST(GeometryTest, MatrixTransformDirection) {
299 {
300 auto matrix = Matrix::MakeTranslation({100, 100, 100}) *
301 Matrix::MakeRotationZ(Radians{kPiOver2}) *
302 Matrix::MakeScale({2.0, 2.0, 2.0});
303 auto vector = Vector4(10, 20, 30, 2);
304
305 Vector4 result = matrix.TransformDirection(vector);
306 auto expected = Vector4(-40, 20, 60, 2);
307 ASSERT_VECTOR4_NEAR(result, expected);
308 }
309
310 {
311 auto matrix = Matrix::MakeTranslation({100, 100, 100}) *
312 Matrix::MakeRotationZ(Radians{kPiOver2}) *
313 Matrix::MakeScale({2.0, 2.0, 2.0});
314 auto vector = Vector3(10, 20, 30);
315
316 Vector3 result = matrix.TransformDirection(vector);
317 auto expected = Vector3(-40, 20, 60);
318 ASSERT_VECTOR3_NEAR(result, expected);
319 }
320
321 {
322 auto matrix = Matrix::MakeTranslation({0, -0.4, 100}) *
323 Matrix::MakeRotationZ(Radians{kPiOver2}) *
324 Matrix::MakeScale({2.0, 2.0, 2.0});
325 auto vector = Point(10, 20);
326
327 Point result = matrix.TransformDirection(vector);
328 auto expected = Point(-40, 20);
329 ASSERT_POINT_NEAR(result, expected);
330 }
331 }
332
333 TEST(GeometryTest, MatrixGetMaxBasisLengthXY) {
334 {
335 auto m = Matrix::MakeScale({3, 1, 1});
336 ASSERT_EQ(m.GetMaxBasisLengthXY(), 3);
337
338 m = m * Matrix::MakeSkew(0, 4);
339 ASSERT_EQ(m.GetMaxBasisLengthXY(), 5);
340 }
341
342 {
343 auto m = Matrix::MakeScale({-3, 4, 7});
344 ASSERT_EQ(m.GetMaxBasisLengthXY(), 4);
345 }
346
347 {
348 // clang-format off
349 auto m = Matrix::MakeColumn(
350 1.0f, 0.0f, 0.0f, 0.0f,
351 0.0f, 1.0f, 0.0f, 0.0f,
352 4.0f, 0.0f, 1.0f, 0.0f,
353 0.0f, 0.0f, 0.0f, 1.0f
354 );
355 // clang-format on
356 ASSERT_EQ(m.GetMaxBasisLengthXY(), 1.0f);
357 }
358 }
359
360 TEST(GeometryTest, MatrixMakeOrthographic) {
361 {
362 auto m = Matrix::MakeOrthographic(Size(100, 200));
363 auto expect = Matrix{
364 0.02, 0, 0, 0, //
365 0, -0.01, 0, 0, //
366 0, 0, 0, 0, //
367 -1, 1, 0.5, 1, //
368 };
369 ASSERT_MATRIX_NEAR(m, expect);
370 }
371
372 {
373 auto m = Matrix::MakeOrthographic(Size(400, 100));
374 auto expect = Matrix{
375 0.005, 0, 0, 0, //
376 0, -0.02, 0, 0, //
377 0, 0, 0, 0, //
378 -1, 1, 0.5, 1, //
379 };
380 ASSERT_MATRIX_NEAR(m, expect);
381 }
382 }
383
384 TEST(GeometryTest, MatrixMakePerspective) {
385 {
386 auto m = Matrix::MakePerspective(Degrees(60), Size(100, 200), 1, 10);
387 auto expect = Matrix{
388 3.4641, 0, 0, 0, //
389 0, 1.73205, 0, 0, //
390 0, 0, 1.11111, 1, //
391 0, 0, -1.11111, 0, //
392 };
393 ASSERT_MATRIX_NEAR(m, expect);
394 }
395
396 {
397 auto m = Matrix::MakePerspective(Radians(1), 2, 10, 20);
398 auto expect = Matrix{
399 0.915244, 0, 0, 0, //
400 0, 1.83049, 0, 0, //
401 0, 0, 2, 1, //
402 0, 0, -20, 0, //
403 };
404 ASSERT_MATRIX_NEAR(m, expect);
405 }
406 }
407
408 TEST(GeometryTest, MatrixGetBasisVectors) {
409 {
410 auto m = Matrix();
411 Vector3 x = m.GetBasisX();
412 Vector3 y = m.GetBasisY();
413 Vector3 z = m.GetBasisZ();
414 ASSERT_VECTOR3_NEAR(x, Vector3(1, 0, 0));
415 ASSERT_VECTOR3_NEAR(y, Vector3(0, 1, 0));
416 ASSERT_VECTOR3_NEAR(z, Vector3(0, 0, 1));
417 }
418
419 {
420 auto m = Matrix::MakeRotationZ(Radians{kPiOver2}) *
421 Matrix::MakeRotationX(Radians{kPiOver2}) *
422 Matrix::MakeScale(Vector3(2, 3, 4));
423 Vector3 x = m.GetBasisX();
424 Vector3 y = m.GetBasisY();
425 Vector3 z = m.GetBasisZ();
426 ASSERT_VECTOR3_NEAR(x, Vector3(0, 2, 0));
427 ASSERT_VECTOR3_NEAR(y, Vector3(0, 0, 3));
428 ASSERT_VECTOR3_NEAR(z, Vector3(4, 0, 0));
429 }
430 }
431
432 TEST(GeometryTest, MatrixGetDirectionScale) {
433 {
434 auto m = Matrix();
435 Scalar result = m.GetDirectionScale(Vector3{1, 0, 0});
436 ASSERT_FLOAT_EQ(result, 1);
437 }
438
439 {
440 auto m = Matrix::MakeRotationX(Degrees{10}) *
441 Matrix::MakeRotationY(Degrees{83}) *
442 Matrix::MakeRotationZ(Degrees{172});
443 Scalar result = m.GetDirectionScale(Vector3{0, 1, 0});
444 ASSERT_FLOAT_EQ(result, 1);
445 }
446
447 {
448 auto m = Matrix::MakeRotationZ(Radians{kPiOver2}) *
449 Matrix::MakeScale(Vector3(3, 4, 5));
450 Scalar result = m.GetDirectionScale(Vector3{2, 0, 0});
451 ASSERT_FLOAT_EQ(result, 8);
452 }
453 }
454
455 TEST(GeometryTest, MatrixTranslationScaleOnly) {
456 {
457 auto m = Matrix();
458 bool result = m.IsTranslationScaleOnly();
459 ASSERT_TRUE(result);
460 }
461
462 {
463 auto m = Matrix::MakeScale(Vector3(2, 3, 4));
464 bool result = m.IsTranslationScaleOnly();
465 ASSERT_TRUE(result);
466 }
467
468 {
469 auto m = Matrix::MakeTranslation(Vector3(2, 3, 4));
470 bool result = m.IsTranslationScaleOnly();
471 ASSERT_TRUE(result);
472 }
473
474 {
475 auto m = Matrix::MakeRotationZ(Degrees(10));
476 bool result = m.IsTranslationScaleOnly();
477 ASSERT_FALSE(result);
478 }
479 }
480
481 TEST(GeometryTest, MatrixLookAt) {
482 {
483 auto m = Matrix::MakeLookAt(Vector3(0, 0, -1), Vector3(0, 0, 1),
484 Vector3(0, 1, 0));
485 auto expected = Matrix{
486 1, 0, 0, 0, //
487 0, 1, 0, 0, //
488 0, 0, 1, 0, //
489 0, 0, 1, 1, //
490 };
491 ASSERT_MATRIX_NEAR(m, expected);
492 }
493
494 // Sideways tilt.
495 {
496 auto m = Matrix::MakeLookAt(Vector3(0, 0, -1), Vector3(0, 0, 1),
497 Vector3(1, 1, 0).Normalize());
498
499 // clang-format off
500 auto expected = Matrix{
501 k1OverSqrt2, k1OverSqrt2, 0, 0,
502 -k1OverSqrt2, k1OverSqrt2, 0, 0,
503 0, 0, 1, 0,
504 0, 0, 1, 1,
505 };
506 // clang-format on
507 ASSERT_MATRIX_NEAR(m, expected);
508 }
509
510 // Half way between +x and -y, yaw 90
511 {
512 auto m =
513 Matrix::MakeLookAt(Vector3(), Vector3(10, -10, 0), Vector3(0, 0, -1));
514
515 // clang-format off
516 auto expected = Matrix{
517 -k1OverSqrt2, 0, k1OverSqrt2, 0,
518 -k1OverSqrt2, 0, -k1OverSqrt2, 0,
519 0, -1, 0, 0,
520 0, 0, 0, 1,
521 };
522 // clang-format on
523 ASSERT_MATRIX_NEAR(m, expected);
524 }
525 }
526
527 TEST(GeometryTest, QuaternionLerp) {
528 auto q1 = Quaternion{{0.0, 0.0, 1.0}, 0.0};
529 auto q2 = Quaternion{{0.0, 0.0, 1.0}, kPiOver4};
530
531 auto q3 = q1.Slerp(q2, 0.5);
532
533 auto expected = Quaternion{{0.0, 0.0, 1.0}, kPiOver4 / 2.0};
534
535 ASSERT_QUATERNION_NEAR(q3, expected);
536 }
537
538 TEST(GeometryTest, QuaternionVectorMultiply) {
539 {
540 Quaternion q({0, 0, 1}, 0);
541 Vector3 v(0, 1, 0);
542
543 Vector3 result = q * v;
544 Vector3 expected(0, 1, 0);
545
546 ASSERT_VECTOR3_NEAR(result, expected);
547 }
548
549 {
550 Quaternion q({0, 0, 1}, k2Pi);
551 Vector3 v(1, 0, 0);
552
553 Vector3 result = q * v;
554 Vector3 expected(1, 0, 0);
555
556 ASSERT_VECTOR3_NEAR(result, expected);
557 }
558
559 {
560 Quaternion q({0, 0, 1}, kPiOver4);
561 Vector3 v(0, 1, 0);
562
563 Vector3 result = q * v;
564 Vector3 expected(-k1OverSqrt2, k1OverSqrt2, 0);
565
566 ASSERT_VECTOR3_NEAR(result, expected);
567 }
568
569 {
570 Quaternion q(Vector3(1, 0, 1).Normalize(), kPi);
571 Vector3 v(0, 0, -1);
572
573 Vector3 result = q * v;
574 Vector3 expected(-1, 0, 0);
575
576 ASSERT_VECTOR3_NEAR(result, expected);
577 }
578 }
579
580 TEST(GeometryTest, CanGenerateMipCounts) {
581 EXPECT_EQ((Size{128, 128}.MipCount()), 7u);
582 EXPECT_EQ((Size{128, 256}.MipCount()), 7u);
583 EXPECT_EQ((Size{128, 130}.MipCount()), 7u);
584 EXPECT_EQ((Size{128, 257}.MipCount()), 7u);
585 EXPECT_EQ((Size{257, 128}.MipCount()), 7u);
586 EXPECT_EQ((Size{128, 0}.MipCount()), 1u);
587 EXPECT_EQ((Size{128, -25}.MipCount()), 1u);
588 EXPECT_EQ((Size{-128, 25}.MipCount()), 1u);
589 EXPECT_EQ((Size{1, 1}.MipCount()), 1u);
590 EXPECT_EQ((Size{0, 0}.MipCount()), 1u);
591 }
592
593 TEST(GeometryTest, CanConvertTTypesExplicitly) {
594 {
595 Point p1(1.0, 2.0);
596 IPoint p2 = static_cast<IPoint>(p1);
597 ASSERT_EQ(p2.x, 1u);
598 ASSERT_EQ(p2.y, 2u);
599 }
600
601 {
602 Size s1(1.0, 2.0);
603 ISize s2 = static_cast<ISize>(s1);
604 ASSERT_EQ(s2.width, 1u);
605 ASSERT_EQ(s2.height, 2u);
606 }
607
608 {
609 Size s1(1.0, 2.0);
610 Point p1 = static_cast<Point>(s1);
611 ASSERT_EQ(p1.x, 1u);
612 ASSERT_EQ(p1.y, 2u);
613 }
614 }
615
616 TEST(GeometryTest, CanPerformAlgebraicPointOps) {
617 {
618 IPoint p1(1, 2);
619 IPoint p2 = p1 + IPoint(1, 2);
620 ASSERT_EQ(p2.x, 2u);
621 ASSERT_EQ(p2.y, 4u);
622 }
623
624 {
625 IPoint p1(3, 6);
626 IPoint p2 = p1 - IPoint(1, 2);
627 ASSERT_EQ(p2.x, 2u);
628 ASSERT_EQ(p2.y, 4u);
629 }
630
631 {
632 IPoint p1(1, 2);
633 IPoint p2 = p1 * IPoint(2, 3);
634 ASSERT_EQ(p2.x, 2u);
635 ASSERT_EQ(p2.y, 6u);
636 }
637
638 {
639 IPoint p1(2, 6);
640 IPoint p2 = p1 / IPoint(2, 3);
641 ASSERT_EQ(p2.x, 1u);
642 ASSERT_EQ(p2.y, 2u);
643 }
644 }
645
646 TEST(GeometryTest, CanPerformAlgebraicPointOpsWithArithmeticTypes) {
647 // LHS
648 {
649 IPoint p1(1, 2);
650 IPoint p2 = p1 * 2.0f;
651 ASSERT_EQ(p2.x, 2u);
652 ASSERT_EQ(p2.y, 4u);
653 }
654
655 {
656 IPoint p1(2, 6);
657 IPoint p2 = p1 / 2.0f;
658 ASSERT_EQ(p2.x, 1u);
659 ASSERT_EQ(p2.y, 3u);
660 }
661
662 // RHS
663 {
664 IPoint p1(1, 2);
665 IPoint p2 = 2.0f * p1;
666 ASSERT_EQ(p2.x, 2u);
667 ASSERT_EQ(p2.y, 4u);
668 }
669
670 {
671 IPoint p1(2, 6);
672 IPoint p2 = 12.0f / p1;
673 ASSERT_EQ(p2.x, 6u);
674 ASSERT_EQ(p2.y, 2u);
675 }
676 }
677
678 TEST(GeometryTest, PointIntegerCoercesToFloat) {
679 // Integer on LHS, float on RHS
680 {
681 IPoint p1(1, 2);
682 Point p2 = p1 + Point(1, 2);
683 ASSERT_FLOAT_EQ(p2.x, 2u);
684 ASSERT_FLOAT_EQ(p2.y, 4u);
685 }
686
687 {
688 IPoint p1(3, 6);
689 Point p2 = p1 - Point(1, 2);
690 ASSERT_FLOAT_EQ(p2.x, 2u);
691 ASSERT_FLOAT_EQ(p2.y, 4u);
692 }
693
694 {
695 IPoint p1(1, 2);
696 Point p2 = p1 * Point(2, 3);
697 ASSERT_FLOAT_EQ(p2.x, 2u);
698 ASSERT_FLOAT_EQ(p2.y, 6u);
699 }
700
701 {
702 IPoint p1(2, 6);
703 Point p2 = p1 / Point(2, 3);
704 ASSERT_FLOAT_EQ(p2.x, 1u);
705 ASSERT_FLOAT_EQ(p2.y, 2u);
706 }
707
708 // Float on LHS, integer on RHS
709 {
710 Point p1(1, 2);
711 Point p2 = p1 + IPoint(1, 2);
712 ASSERT_FLOAT_EQ(p2.x, 2u);
713 ASSERT_FLOAT_EQ(p2.y, 4u);
714 }
715
716 {
717 Point p1(3, 6);
718 Point p2 = p1 - IPoint(1, 2);
719 ASSERT_FLOAT_EQ(p2.x, 2u);
720 ASSERT_FLOAT_EQ(p2.y, 4u);
721 }
722
723 {
724 Point p1(1, 2);
725 Point p2 = p1 * IPoint(2, 3);
726 ASSERT_FLOAT_EQ(p2.x, 2u);
727 ASSERT_FLOAT_EQ(p2.y, 6u);
728 }
729
730 {
731 Point p1(2, 6);
732 Point p2 = p1 / IPoint(2, 3);
733 ASSERT_FLOAT_EQ(p2.x, 1u);
734 ASSERT_FLOAT_EQ(p2.y, 2u);
735 }
736 }
737
738 TEST(GeometryTest, SizeCoercesToPoint) {
739 // Point on LHS, Size on RHS
740 {
741 IPoint p1(1, 2);
742 IPoint p2 = p1 + ISize(1, 2);
743 ASSERT_EQ(p2.x, 2u);
744 ASSERT_EQ(p2.y, 4u);
745 }
746
747 {
748 IPoint p1(3, 6);
749 IPoint p2 = p1 - ISize(1, 2);
750 ASSERT_EQ(p2.x, 2u);
751 ASSERT_EQ(p2.y, 4u);
752 }
753
754 {
755 IPoint p1(1, 2);
756 IPoint p2 = p1 * ISize(2, 3);
757 ASSERT_EQ(p2.x, 2u);
758 ASSERT_EQ(p2.y, 6u);
759 }
760
761 {
762 IPoint p1(2, 6);
763 IPoint p2 = p1 / ISize(2, 3);
764 ASSERT_EQ(p2.x, 1u);
765 ASSERT_EQ(p2.y, 2u);
766 }
767
768 // Size on LHS, Point on RHS
769 {
770 ISize p1(1, 2);
771 IPoint p2 = p1 + IPoint(1, 2);
772 ASSERT_EQ(p2.x, 2u);
773 ASSERT_EQ(p2.y, 4u);
774 }
775
776 {
777 ISize p1(3, 6);
778 IPoint p2 = p1 - IPoint(1, 2);
779 ASSERT_EQ(p2.x, 2u);
780 ASSERT_EQ(p2.y, 4u);
781 }
782
783 {
784 ISize p1(1, 2);
785 IPoint p2 = p1 * IPoint(2, 3);
786 ASSERT_EQ(p2.x, 2u);
787 ASSERT_EQ(p2.y, 6u);
788 }
789
790 {
791 ISize p1(2, 6);
792 IPoint p2 = p1 / IPoint(2, 3);
793 ASSERT_EQ(p2.x, 1u);
794 ASSERT_EQ(p2.y, 2u);
795 }
796 }
797
798 TEST(GeometryTest, CanUsePointAssignmentOperators) {
799 // Point on RHS
800 {
801 IPoint p(1, 2);
802 p += IPoint(1, 2);
803 ASSERT_EQ(p.x, 2u);
804 ASSERT_EQ(p.y, 4u);
805 }
806
807 {
808 IPoint p(3, 6);
809 p -= IPoint(1, 2);
810 ASSERT_EQ(p.x, 2u);
811 ASSERT_EQ(p.y, 4u);
812 }
813
814 {
815 IPoint p(1, 2);
816 p *= IPoint(2, 3);
817 ASSERT_EQ(p.x, 2u);
818 ASSERT_EQ(p.y, 6u);
819 }
820
821 {
822 IPoint p(2, 6);
823 p /= IPoint(2, 3);
824 ASSERT_EQ(p.x, 1u);
825 ASSERT_EQ(p.y, 2u);
826 }
827
828 // Size on RHS
829 {
830 IPoint p(1, 2);
831 p += ISize(1, 2);
832 ASSERT_EQ(p.x, 2u);
833 ASSERT_EQ(p.y, 4u);
834 }
835
836 {
837 IPoint p(3, 6);
838 p -= ISize(1, 2);
839 ASSERT_EQ(p.x, 2u);
840 ASSERT_EQ(p.y, 4u);
841 }
842
843 {
844 IPoint p(1, 2);
845 p *= ISize(2, 3);
846 ASSERT_EQ(p.x, 2u);
847 ASSERT_EQ(p.y, 6u);
848 }
849
850 {
851 IPoint p(2, 6);
852 p /= ISize(2, 3);
853 ASSERT_EQ(p.x, 1u);
854 ASSERT_EQ(p.y, 2u);
855 }
856
857 // Arithmetic type on RHS
858 {
859 IPoint p(1, 2);
860 p *= 3;
861 ASSERT_EQ(p.x, 3u);
862 ASSERT_EQ(p.y, 6u);
863 }
864
865 {
866 IPoint p(3, 6);
867 p /= 3;
868 ASSERT_EQ(p.x, 1u);
869 ASSERT_EQ(p.y, 2u);
870 }
871 }
872
873 TEST(GeometryTest, PointDotProduct) {
874 {
875 Point p(1, 0);
876 Scalar s = p.Dot(Point(-1, 0));
877 ASSERT_FLOAT_EQ(s, -1);
878 }
879
880 {
881 Point p(0, -1);
882 Scalar s = p.Dot(Point(-1, 0));
883 ASSERT_FLOAT_EQ(s, 0);
884 }
885
886 {
887 Point p(1, 2);
888 Scalar s = p.Dot(Point(3, -4));
889 ASSERT_FLOAT_EQ(s, -5);
890 }
891 }
892
893 TEST(GeometryTest, PointCrossProduct) {
894 {
895 Point p(1, 0);
896 Scalar s = p.Cross(Point(-1, 0));
897 ASSERT_FLOAT_EQ(s, 0);
898 }
899
900 {
901 Point p(0, -1);
902 Scalar s = p.Cross(Point(-1, 0));
903 ASSERT_FLOAT_EQ(s, -1);
904 }
905
906 {
907 Point p(1, 2);
908 Scalar s = p.Cross(Point(3, -4));
909 ASSERT_FLOAT_EQ(s, -10);
910 }
911 }
912
913 TEST(GeometryTest, PointReflect) {
914 {
915 Point axis = Point(0, 1);
916 Point a(2, 3);
917 auto reflected = a.Reflect(axis);
918 auto expected = Point(2, -3);
919 ASSERT_POINT_NEAR(reflected, expected);
920 }
921
922 {
923 Point axis = Point(1, 1).Normalize();
924 Point a(1, 0);
925 auto reflected = a.Reflect(axis);
926 auto expected = Point(0, -1);
927 ASSERT_POINT_NEAR(reflected, expected);
928 }
929
930 {
931 Point axis = Point(1, 1).Normalize();
932 Point a(-1, -1);
933 auto reflected = a.Reflect(axis);
934 ASSERT_POINT_NEAR(reflected, -a);
935 }
936 }
937
938 TEST(GeometryTest, PointAbs) {
939 Point a(-1, -2);
940 auto a_abs = a.Abs();
941 auto expected = Point(1, 2);
942 ASSERT_POINT_NEAR(a_abs, expected);
943 }
944
945 TEST(GeometryTest, PointRotate) {
946 {
947 Point a(1, 0);
948 auto rotated = a.Rotate(Radians{kPiOver2});
949 auto expected = Point(0, 1);
950 ASSERT_POINT_NEAR(rotated, expected);
951 }
952
953 {
954 Point a(1, 0);
955 auto rotated = a.Rotate(Radians{-kPiOver2});
956 auto expected = Point(0, -1);
957 ASSERT_POINT_NEAR(rotated, expected);
958 }
959
960 {
961 Point a(1, 0);
962 auto rotated = a.Rotate(Radians{kPi});
963 auto expected = Point(-1, 0);
964 ASSERT_POINT_NEAR(rotated, expected);
965 }
966
967 {
968 Point a(1, 0);
969 auto rotated = a.Rotate(Radians{kPi * 1.5});
970 auto expected = Point(0, -1);
971 ASSERT_POINT_NEAR(rotated, expected);
972 }
973 }
974
975 TEST(GeometryTest, PointAngleTo) {
976 // Negative result in the CCW (with up = -Y) direction.
977 {
978 Point a(1, 1);
979 Point b(1, -1);
980 Radians actual = a.AngleTo(b);
981 Radians expected = Radians{-kPi / 2};
982 ASSERT_FLOAT_EQ(actual.radians, expected.radians);
983 }
984
985 // Check the other direction to ensure the result is signed correctly.
986 {
987 Point a(1, -1);
988 Point b(1, 1);
989 Radians actual = a.AngleTo(b);
990 Radians expected = Radians{kPi / 2};
991 ASSERT_FLOAT_EQ(actual.radians, expected.radians);
992 }
993
994 // Differences in magnitude should have no impact on the result.
995 {
996 Point a(100, -100);
997 Point b(0.01, 0.01);
998 Radians actual = a.AngleTo(b);
999 Radians expected = Radians{kPi / 2};
1000 ASSERT_FLOAT_EQ(actual.radians, expected.radians);
1001 }
1002 }
1003
1004 TEST(GeometryTest, PointMin) {
1005 Point p(1, 2);
1006 Point result = p.Min({0, 10});
1007 Point expected(0, 2);
1008 ASSERT_POINT_NEAR(result, expected);
1009 }
1010
1011 TEST(GeometryTest, Vector4IsFinite) {
1012 {
1013 Vector4 v;
1014 ASSERT_TRUE(v.IsFinite());
1015 v.x = std::numeric_limits<Scalar>::infinity();
1016 ASSERT_FALSE(v.IsFinite());
1017 v.x = -std::numeric_limits<Scalar>::infinity();
1018 ASSERT_FALSE(v.IsFinite());
1019 v.x = -std::numeric_limits<Scalar>::quiet_NaN();
1020 ASSERT_FALSE(v.IsFinite());
1021 }
1022
1023 {
1024 Vector4 v;
1025 ASSERT_TRUE(v.IsFinite());
1026 v.y = std::numeric_limits<Scalar>::infinity();
1027 ASSERT_FALSE(v.IsFinite());
1028 v.y = -std::numeric_limits<Scalar>::infinity();
1029 ASSERT_FALSE(v.IsFinite());
1030 v.y = -std::numeric_limits<Scalar>::quiet_NaN();
1031 ASSERT_FALSE(v.IsFinite());
1032 }
1033
1034 {
1035 Vector4 v;
1036 ASSERT_TRUE(v.IsFinite());
1037 v.z = std::numeric_limits<Scalar>::infinity();
1038 ASSERT_FALSE(v.IsFinite());
1039 v.z = -std::numeric_limits<Scalar>::infinity();
1040 ASSERT_FALSE(v.IsFinite());
1041 v.z = -std::numeric_limits<Scalar>::quiet_NaN();
1042 ASSERT_FALSE(v.IsFinite());
1043 }
1044
1045 {
1046 Vector4 v;
1047 ASSERT_TRUE(v.IsFinite());
1048 v.w = std::numeric_limits<Scalar>::infinity();
1049 ASSERT_FALSE(v.IsFinite());
1050 v.w = -std::numeric_limits<Scalar>::infinity();
1051 ASSERT_FALSE(v.IsFinite());
1052 v.w = -std::numeric_limits<Scalar>::quiet_NaN();
1053 ASSERT_FALSE(v.IsFinite());
1054 }
1055 }
1056
1057 TEST(GeometryTest, Vector3Min) {
1058 Vector3 p(1, 2, 3);
1059 Vector3 result = p.Min({0, 10, 2});
1060 Vector3 expected(0, 2, 2);
1061 ASSERT_VECTOR3_NEAR(result, expected);
1062 }
1063
1064 TEST(GeometryTest, Vector4Min) {
1065 Vector4 p(1, 2, 3, 4);
1066 Vector4 result = p.Min({0, 10, 2, 1});
1067 Vector4 expected(0, 2, 2, 1);
1068 ASSERT_VECTOR4_NEAR(result, expected);
1069 }
1070
1071 TEST(GeometryTest, PointMax) {
1072 Point p(1, 2);
1073 Point result = p.Max({0, 10});
1074 Point expected(1, 10);
1075 ASSERT_POINT_NEAR(result, expected);
1076 }
1077
1078 TEST(GeometryTest, Vector3Max) {
1079 Vector3 p(1, 2, 3);
1080 Vector3 result = p.Max({0, 10, 2});
1081 Vector3 expected(1, 10, 3);
1082 ASSERT_VECTOR3_NEAR(result, expected);
1083 }
1084
1085 TEST(GeometryTest, Vector4Max) {
1086 Vector4 p(1, 2, 3, 4);
1087 Vector4 result = p.Max({0, 10, 2, 1});
1088 Vector4 expected(1, 10, 3, 4);
1089 ASSERT_VECTOR4_NEAR(result, expected);
1090 }
1091
1092 TEST(GeometryTest, PointFloor) {
1093 Point p(1.5, 2.3);
1094 Point result = p.Floor();
1095 Point expected(1, 2);
1096 ASSERT_POINT_NEAR(result, expected);
1097 }
1098
1099 TEST(GeometryTest, Vector3Floor) {
1100 Vector3 p(1.5, 2.3, 3.9);
1101 Vector3 result = p.Floor();
1102 Vector3 expected(1, 2, 3);
1103 ASSERT_VECTOR3_NEAR(result, expected);
1104 }
1105
1106 TEST(GeometryTest, Vector4Floor) {
1107 Vector4 p(1.5, 2.3, 3.9, 4.0);
1108 Vector4 result = p.Floor();
1109 Vector4 expected(1, 2, 3, 4);
1110 ASSERT_VECTOR4_NEAR(result, expected);
1111 }
1112
1113 TEST(GeometryTest, PointCeil) {
1114 Point p(1.5, 2.3);
1115 Point result = p.Ceil();
1116 Point expected(2, 3);
1117 ASSERT_POINT_NEAR(result, expected);
1118 }
1119
1120 TEST(GeometryTest, Vector3Ceil) {
1121 Vector3 p(1.5, 2.3, 3.9);
1122 Vector3 result = p.Ceil();
1123 Vector3 expected(2, 3, 4);
1124 ASSERT_VECTOR3_NEAR(result, expected);
1125 }
1126
1127 TEST(GeometryTest, Vector4Ceil) {
1128 Vector4 p(1.5, 2.3, 3.9, 4.0);
1129 Vector4 result = p.Ceil();
1130 Vector4 expected(2, 3, 4, 4);
1131 ASSERT_VECTOR4_NEAR(result, expected);
1132 }
1133
1134 TEST(GeometryTest, PointRound) {
1135 Point p(1.5, 2.3);
1136 Point result = p.Round();
1137 Point expected(2, 2);
1138 ASSERT_POINT_NEAR(result, expected);
1139 }
1140
1141 TEST(GeometryTest, Vector3Round) {
1142 Vector3 p(1.5, 2.3, 3.9);
1143 Vector3 result = p.Round();
1144 Vector3 expected(2, 2, 4);
1145 ASSERT_VECTOR3_NEAR(result, expected);
1146 }
1147
1148 TEST(GeometryTest, Vector4Round) {
1149 Vector4 p(1.5, 2.3, 3.9, 4.0);
1150 Vector4 result = p.Round();
1151 Vector4 expected(2, 2, 4, 4);
1152 ASSERT_VECTOR4_NEAR(result, expected);
1153 }
1154
1155 TEST(GeometryTest, PointLerp) {
1156 Point p(1, 2);
1157 Point result = p.Lerp({5, 10}, 0.75);
1158 Point expected(4, 8);
1159 ASSERT_POINT_NEAR(result, expected);
1160 }
1161
1162 TEST(GeometryTest, Vector3Lerp) {
1163 Vector3 p(1, 2, 3);
1164 Vector3 result = p.Lerp({5, 10, 15}, 0.75);
1165 Vector3 expected(4, 8, 12);
1166 ASSERT_VECTOR3_NEAR(result, expected);
1167 }
1168
1169 TEST(GeometryTest, Vector4Lerp) {
1170 Vector4 p(1, 2, 3, 4);
1171 Vector4 result = p.Lerp({5, 10, 15, 20}, 0.75);
1172 Vector4 expected(4, 8, 12, 16);
1173 ASSERT_VECTOR4_NEAR(result, expected);
1174 }
1175
1176 TEST(GeometryTest, SeparatedVector2NormalizesWithConstructor) {
1177 SeparatedVector2 v(Vector2(10, 0));
1178 ASSERT_POINT_NEAR(v.direction, Vector2(1, 0));
1179 ASSERT_NEAR(v.magnitude, 10, kEhCloseEnough);
1180 }
1181
1182 TEST(GeometryTest, SeparatedVector2GetVector) {
1183 SeparatedVector2 v(Vector2(10, 0));
1184 ASSERT_POINT_NEAR(v.GetVector(), Vector2(10, 0));
1185 }
1186
1187 TEST(GeometryTest, SeparatedVector2GetAlignment) {
1188 // Parallel
1189 {
1190 SeparatedVector2 v(Vector2(10, 0));
1191 Scalar actual = v.GetAlignment(SeparatedVector2(Vector2(5, 0)));
1192 ASSERT_NEAR(actual, 1, kEhCloseEnough);
1193 }
1194
1195 // Perpendicular
1196 {
1197 SeparatedVector2 v(Vector2(10, 0));
1198 Scalar actual = v.GetAlignment(SeparatedVector2(Vector2(0, 5)));
1199 ASSERT_NEAR(actual, 0, kEhCloseEnough);
1200 }
1201
1202 // Opposite parallel
1203 {
1204 SeparatedVector2 v(Vector2(0, 10));
1205 Scalar actual = v.GetAlignment(SeparatedVector2(Vector2(0, -5)));
1206 ASSERT_NEAR(actual, -1, kEhCloseEnough);
1207 }
1208 }
1209
1210 TEST(GeometryTest, SeparatedVector2AngleTo) {
1211 {
1212 SeparatedVector2 v(Vector2(10, 0));
1213 Radians actual = v.AngleTo(SeparatedVector2(Vector2(5, 0)));
1214 Radians expected = Radians{0};
1215 ASSERT_NEAR(actual.radians, expected.radians, kEhCloseEnough);
1216 }
1217
1218 {
1219 SeparatedVector2 v(Vector2(10, 0));
1220 Radians actual = v.AngleTo(SeparatedVector2(Vector2(0, -5)));
1221 Radians expected = Radians{-kPi / 2};
1222 ASSERT_NEAR(actual.radians, expected.radians, kEhCloseEnough);
1223 }
1224 }
1225
1226 TEST(GeometryTest, CanUseVector3AssignmentOperators) {
1227 {
1228 Vector3 p(1, 2, 4);
1229 p += Vector3(1, 2, 4);
1230 ASSERT_EQ(p.x, 2u);
1231 ASSERT_EQ(p.y, 4u);
1232 ASSERT_EQ(p.z, 8u);
1233 }
1234
1235 {
1236 Vector3 p(3, 6, 8);
1237 p -= Vector3(1, 2, 3);
1238 ASSERT_EQ(p.x, 2u);
1239 ASSERT_EQ(p.y, 4u);
1240 ASSERT_EQ(p.z, 5u);
1241 }
1242
1243 {
1244 Vector3 p(1, 2, 3);
1245 p *= Vector3(2, 3, 4);
1246 ASSERT_EQ(p.x, 2u);
1247 ASSERT_EQ(p.y, 6u);
1248 ASSERT_EQ(p.z, 12u);
1249 }
1250
1251 {
1252 Vector3 p(1, 2, 3);
1253 p *= 2;
1254 ASSERT_EQ(p.x, 2u);
1255 ASSERT_EQ(p.y, 4u);
1256 ASSERT_EQ(p.z, 6u);
1257 }
1258
1259 {
1260 Vector3 p(2, 6, 12);
1261 p /= Vector3(2, 3, 4);
1262 ASSERT_EQ(p.x, 1u);
1263 ASSERT_EQ(p.y, 2u);
1264 ASSERT_EQ(p.z, 3u);
1265 }
1266
1267 {
1268 Vector3 p(2, 6, 12);
1269 p /= 2;
1270 ASSERT_EQ(p.x, 1u);
1271 ASSERT_EQ(p.y, 3u);
1272 ASSERT_EQ(p.z, 6u);
1273 }
1274 }
1275
1276 TEST(GeometryTest, CanPerformAlgebraicVector3Ops) {
1277 {
1278 Vector3 p1(1, 2, 3);
1279 Vector3 p2 = p1 + Vector3(1, 2, 3);
1280 ASSERT_EQ(p2.x, 2u);
1281 ASSERT_EQ(p2.y, 4u);
1282 ASSERT_EQ(p2.z, 6u);
1283 }
1284
1285 {
1286 Vector3 p1(3, 6, 9);
1287 Vector3 p2 = p1 - Vector3(1, 2, 3);
1288 ASSERT_EQ(p2.x, 2u);
1289 ASSERT_EQ(p2.y, 4u);
1290 ASSERT_EQ(p2.z, 6u);
1291 }
1292
1293 {
1294 Vector3 p1(1, 2, 3);
1295 Vector3 p2 = p1 * Vector3(2, 3, 4);
1296 ASSERT_EQ(p2.x, 2u);
1297 ASSERT_EQ(p2.y, 6u);
1298 ASSERT_EQ(p2.z, 12u);
1299 }
1300
1301 {
1302 Vector3 p1(2, 6, 12);
1303 Vector3 p2 = p1 / Vector3(2, 3, 4);
1304 ASSERT_EQ(p2.x, 1u);
1305 ASSERT_EQ(p2.y, 2u);
1306 ASSERT_EQ(p2.z, 3u);
1307 }
1308 }
1309
1310 TEST(GeometryTest, CanPerformAlgebraicVector3OpsWithArithmeticTypes) {
1311 // LHS
1312 {
1313 Vector3 p1(1, 2, 3);
1314 Vector3 p2 = p1 + 2.0f;
1315 ASSERT_EQ(p2.x, 3);
1316 ASSERT_EQ(p2.y, 4);
1317 ASSERT_EQ(p2.z, 5);
1318 }
1319
1320 {
1321 Vector3 p1(1, 2, 3);
1322 Vector3 p2 = p1 - 2.0f;
1323 ASSERT_EQ(p2.x, -1);
1324 ASSERT_EQ(p2.y, 0);
1325 ASSERT_EQ(p2.z, 1);
1326 }
1327
1328 {
1329 Vector3 p1(1, 2, 3);
1330 Vector3 p2 = p1 * 2.0f;
1331 ASSERT_EQ(p2.x, 2);
1332 ASSERT_EQ(p2.y, 4);
1333 ASSERT_EQ(p2.z, 6);
1334 }
1335
1336 {
1337 Vector3 p1(2, 6, 12);
1338 Vector3 p2 = p1 / 2.0f;
1339 ASSERT_EQ(p2.x, 1);
1340 ASSERT_EQ(p2.y, 3);
1341 ASSERT_EQ(p2.z, 6);
1342 }
1343
1344 // RHS
1345 {
1346 Vector3 p1(1, 2, 3);
1347 Vector3 p2 = 2.0f + p1;
1348 ASSERT_EQ(p2.x, 3);
1349 ASSERT_EQ(p2.y, 4);
1350 ASSERT_EQ(p2.z, 5);
1351 }
1352
1353 {
1354 Vector3 p1(1, 2, 3);
1355 Vector3 p2 = 2.0f - p1;
1356 ASSERT_EQ(p2.x, 1);
1357 ASSERT_EQ(p2.y, 0);
1358 ASSERT_EQ(p2.z, -1);
1359 }
1360
1361 {
1362 Vector3 p1(1, 2, 3);
1363 Vector3 p2 = 2.0f * p1;
1364 ASSERT_EQ(p2.x, 2);
1365 ASSERT_EQ(p2.y, 4);
1366 ASSERT_EQ(p2.z, 6);
1367 }
1368
1369 {
1370 Vector3 p1(2, 6, 12);
1371 Vector3 p2 = 12.0f / p1;
1372 ASSERT_EQ(p2.x, 6);
1373 ASSERT_EQ(p2.y, 2);
1374 ASSERT_EQ(p2.z, 1);
1375 }
1376 }
1377
1378 TEST(GeometryTest, ColorPremultiply) {
1379 {
1380 Color a(1.0, 0.5, 0.2, 0.5);
1381 Color premultiplied = a.Premultiply();
1382 Color expected = Color(0.5, 0.25, 0.1, 0.5);
1383 ASSERT_COLOR_NEAR(premultiplied, expected);
1384 }
1385
1386 {
1387 Color a(0.5, 0.25, 0.1, 0.5);
1388 Color unpremultiplied = a.Unpremultiply();
1389 Color expected = Color(1.0, 0.5, 0.2, 0.5);
1390 ASSERT_COLOR_NEAR(unpremultiplied, expected);
1391 }
1392
1393 {
1394 Color a(0.5, 0.25, 0.1, 0.0);
1395 Color unpremultiplied = a.Unpremultiply();
1396 Color expected = Color(0.0, 0.0, 0.0, 0.0);
1397 ASSERT_COLOR_NEAR(unpremultiplied, expected);
1398 }
1399 }
1400
1401 TEST(GeometryTest, ColorR8G8B8A8) {
1402 {
1403 Color a(1.0, 0.5, 0.2, 0.5);
1404 std::array<uint8_t, 4> expected = {255, 128, 51, 128};
1405 ASSERT_ARRAY_4_NEAR(a.ToR8G8B8A8(), expected);
1406 }
1407
1408 {
1409 Color a(0.0, 0.0, 0.0, 0.0);
1410 std::array<uint8_t, 4> expected = {0, 0, 0, 0};
1411 ASSERT_ARRAY_4_NEAR(a.ToR8G8B8A8(), expected);
1412 }
1413
1414 {
1415 Color a(1.0, 1.0, 1.0, 1.0);
1416 std::array<uint8_t, 4> expected = {255, 255, 255, 255};
1417 ASSERT_ARRAY_4_NEAR(a.ToR8G8B8A8(), expected);
1418 }
1419 }
1420
1421 TEST(GeometryTest, ColorLerp) {
1422 {
1423 Color a(0.0, 0.0, 0.0, 0.0);
1424 Color b(1.0, 1.0, 1.0, 1.0);
1425
1426 ASSERT_COLOR_NEAR(Color::Lerp(a, b, 0.5), Color(0.5, 0.5, 0.5, 0.5));
1427 ASSERT_COLOR_NEAR(Color::Lerp(a, b, 0.0), a);
1428 ASSERT_COLOR_NEAR(Color::Lerp(a, b, 1.0), b);
1429 ASSERT_COLOR_NEAR(Color::Lerp(a, b, 0.2), Color(0.2, 0.2, 0.2, 0.2));
1430 }
1431
1432 {
1433 Color a(0.2, 0.4, 1.0, 0.5);
1434 Color b(0.4, 1.0, 0.2, 0.3);
1435
1436 ASSERT_COLOR_NEAR(Color::Lerp(a, b, 0.5), Color(0.3, 0.7, 0.6, 0.4));
1437 ASSERT_COLOR_NEAR(Color::Lerp(a, b, 0.0), a);
1438 ASSERT_COLOR_NEAR(Color::Lerp(a, b, 1.0), b);
1439 ASSERT_COLOR_NEAR(Color::Lerp(a, b, 0.2), Color(0.24, 0.52, 0.84, 0.46));
1440 }
1441 }
1442
1443 TEST(GeometryTest, ColorClamp01) {
1444 {
1445 Color result = Color(0.5, 0.5, 0.5, 0.5).Clamp01();
1446 Color expected = Color(0.5, 0.5, 0.5, 0.5);
1447 ASSERT_COLOR_NEAR(result, expected);
1448 }
1449
1450 {
1451 Color result = Color(-1, -1, -1, -1).Clamp01();
1452 Color expected = Color(0, 0, 0, 0);
1453 ASSERT_COLOR_NEAR(result, expected);
1454 }
1455
1456 {
1457 Color result = Color(2, 2, 2, 2).Clamp01();
1458 Color expected = Color(1, 1, 1, 1);
1459 ASSERT_COLOR_NEAR(result, expected);
1460 }
1461 }
1462
1463 TEST(GeometryTest, ColorMakeRGBA8) {
1464 {
1465 Color a = Color::MakeRGBA8(0, 0, 0, 0);
1466 Color b = Color::BlackTransparent();
1467 ASSERT_COLOR_NEAR(a, b);
1468 }
1469
1470 {
1471 Color a = Color::MakeRGBA8(255, 255, 255, 255);
1472 Color b = Color::White();
1473 ASSERT_COLOR_NEAR(a, b);
1474 }
1475
1476 {
1477 Color a = Color::MakeRGBA8(63, 127, 191, 127);
1478 Color b(0.247059, 0.498039, 0.74902, 0.498039);
1479 ASSERT_COLOR_NEAR(a, b);
1480 }
1481 }
1482
1483 TEST(GeometryTest, ColorApplyColorMatrix) {
1484 {
1485 ColorMatrix color_matrix = {
1486 1, 1, 1, 1, 1, //
1487 1, 1, 1, 1, 1, //
1488 1, 1, 1, 1, 1, //
1489 1, 1, 1, 1, 1, //
1490 };
1491 auto result = Color::White().ApplyColorMatrix(color_matrix);
1492 auto expected = Color(1, 1, 1, 1);
1493 ASSERT_COLOR_NEAR(result, expected);
1494 }
1495
1496 {
1497 ColorMatrix color_matrix = {
1498 0.1, 0, 0, 0, 0.01, //
1499 0, 0.2, 0, 0, 0.02, //
1500 0, 0, 0.3, 0, 0.03, //
1501 0, 0, 0, 0.4, 0.04, //
1502 };
1503 auto result = Color::White().ApplyColorMatrix(color_matrix);
1504 auto expected = Color(0.11, 0.22, 0.33, 0.44);
1505 ASSERT_COLOR_NEAR(result, expected);
1506 }
1507 }
1508
1509 TEST(GeometryTest, ColorLinearToSRGB) {
1510 {
1511 auto result = Color::White().LinearToSRGB();
1512 auto expected = Color(1, 1, 1, 1);
1513 ASSERT_COLOR_NEAR(result, expected);
1514 }
1515
1516 {
1517 auto result = Color::BlackTransparent().LinearToSRGB();
1518 auto expected = Color(0, 0, 0, 0);
1519 ASSERT_COLOR_NEAR(result, expected);
1520 }
1521
1522 {
1523 auto result = Color(0.2, 0.4, 0.6, 0.8).LinearToSRGB();
1524 auto expected = Color(0.484529, 0.665185, 0.797738, 0.8);
1525 ASSERT_COLOR_NEAR(result, expected);
1526 }
1527 }
1528
1529 TEST(GeometryTest, ColorSRGBToLinear) {
1530 {
1531 auto result = Color::White().SRGBToLinear();
1532 auto expected = Color(1, 1, 1, 1);
1533 ASSERT_COLOR_NEAR(result, expected);
1534 }
1535
1536 {
1537 auto result = Color::BlackTransparent().SRGBToLinear();
1538 auto expected = Color(0, 0, 0, 0);
1539 ASSERT_COLOR_NEAR(result, expected);
1540 }
1541
1542 {
1543 auto result = Color(0.2, 0.4, 0.6, 0.8).SRGBToLinear();
1544 auto expected = Color(0.0331048, 0.132868, 0.318547, 0.8);
1545 ASSERT_COLOR_NEAR(result, expected);
1546 }
1547 }
1548
1549 struct ColorBlendTestData {
1550 static constexpr Color kDestinationColor =
1551 Color::CornflowerBlue().WithAlpha(0.75);
1552 static constexpr Color kSourceColors[] = {Color::White().WithAlpha(0.75),
1553 Color::LimeGreen().WithAlpha(0.75),
1554 Color::Black().WithAlpha(0.75)};
1555
1556 static const std::map<BlendMode, Color>
1557 kExpectedResults[sizeof(kSourceColors)];
1558 };
1559
1560 // THIS RESULT TABLE IS GENERATED!
1561 //
1562 // Uncomment the `GenerateColorBlendResults` test below to print a new table
1563 // after making changes to `Color::Blend`.
1564 const std::map<BlendMode, Color> ColorBlendTestData::kExpectedResults[sizeof(
1565 ColorBlendTestData::kSourceColors)] = {
1566 {
1567 {BlendMode::kClear, {0, 0, 0, 0}},
1568 {BlendMode::kSrc, {1, 1, 1, 0.75}},
1569 {BlendMode::kDst, {0.392157, 0.584314, 0.929412, 0.75}},
1570 {BlendMode::kSrcOver, {0.878431, 0.916863, 0.985882, 0.9375}},
1571 {BlendMode::kDstOver, {0.513726, 0.667451, 0.943529, 0.9375}},
1572 {BlendMode::kSrcIn, {1, 1, 1, 0.5625}},
1573 {BlendMode::kDstIn, {0.392157, 0.584314, 0.929412, 0.5625}},
1574 {BlendMode::kSrcOut, {1, 1, 1, 0.1875}},
1575 {BlendMode::kDstOut, {0.392157, 0.584314, 0.929412, 0.1875}},
1576 {BlendMode::kSrcATop, {0.848039, 0.896078, 0.982353, 0.75}},
1577 {BlendMode::kDstATop, {0.544118, 0.688235, 0.947059, 0.75}},
1578 {BlendMode::kXor, {0.696078, 0.792157, 0.964706, 0.375}},
1579 {BlendMode::kPlus, {1, 1, 1, 1}},
1580 {BlendMode::kModulate, {0.392157, 0.584314, 0.929412, 0.5625}},
1581 {BlendMode::kScreen, {0.878431, 0.916863, 0.985882, 0.9375}},
1582 {BlendMode::kOverlay, {0.74902, 0.916863, 0.985882, 0.9375}},
1583 {BlendMode::kDarken, {0.513726, 0.667451, 0.943529, 0.9375}},
1584 {BlendMode::kLighten, {0.878431, 0.916863, 0.985882, 0.9375}},
1585 {BlendMode::kColorDodge, {0.878431, 0.916863, 0.985882, 0.9375}},
1586 {BlendMode::kColorBurn, {0.513725, 0.667451, 0.943529, 0.9375}},
1587 {BlendMode::kHardLight, {0.878431, 0.916863, 0.985882, 0.9375}},
1588 {BlendMode::kSoftLight, {0.654166, 0.775505, 0.964318, 0.9375}},
1589 {BlendMode::kDifference, {0.643137, 0.566275, 0.428235, 0.9375}},
1590 {BlendMode::kExclusion, {0.643137, 0.566275, 0.428235, 0.9375}},
1591 {BlendMode::kMultiply, {0.513726, 0.667451, 0.943529, 0.9375}},
1592 {BlendMode::kHue, {0.617208, 0.655639, 0.724659, 0.9375}},
1593 {BlendMode::kSaturation, {0.617208, 0.655639, 0.724659, 0.9375}},
1594 {BlendMode::kColor, {0.617208, 0.655639, 0.724659, 0.9375}},
1595 {BlendMode::kLuminosity, {0.878431, 0.916863, 0.985882, 0.9375}},
1596 },
1597 {
1598 {BlendMode::kClear, {0, 0, 0, 0}},
1599 {BlendMode::kSrc, {0.196078, 0.803922, 0.196078, 0.75}},
1600 {BlendMode::kDst, {0.392157, 0.584314, 0.929412, 0.75}},
1601 {BlendMode::kSrcOver, {0.235294, 0.76, 0.342745, 0.9375}},
1602 {BlendMode::kDstOver, {0.352941, 0.628235, 0.782745, 0.9375}},
1603 {BlendMode::kSrcIn, {0.196078, 0.803922, 0.196078, 0.5625}},
1604 {BlendMode::kDstIn, {0.392157, 0.584314, 0.929412, 0.5625}},
1605 {BlendMode::kSrcOut, {0.196078, 0.803922, 0.196078, 0.1875}},
1606 {BlendMode::kDstOut, {0.392157, 0.584314, 0.929412, 0.1875}},
1607 {BlendMode::kSrcATop, {0.245098, 0.74902, 0.379412, 0.75}},
1608 {BlendMode::kDstATop, {0.343137, 0.639216, 0.746078, 0.75}},
1609 {BlendMode::kXor, {0.294118, 0.694118, 0.562745, 0.375}},
1610 {BlendMode::kPlus, {0.441176, 1, 0.844118, 1}},
1611 {BlendMode::kModulate, {0.0768935, 0.469742, 0.182238, 0.5625}},
1612 {BlendMode::kScreen, {0.424452, 0.828743, 0.79105, 0.9375}},
1613 {BlendMode::kOverlay, {0.209919, 0.779839, 0.757001, 0.9375}},
1614 {BlendMode::kDarken, {0.235294, 0.628235, 0.342745, 0.9375}},
1615 {BlendMode::kLighten, {0.352941, 0.76, 0.782745, 0.9375}},
1616 {BlendMode::kColorDodge, {0.41033, 0.877647, 0.825098, 0.9375}},
1617 {BlendMode::kColorBurn, {0.117647, 0.567403, 0.609098, 0.9375}},
1618 {BlendMode::kHardLight, {0.209919, 0.779839, 0.443783, 0.9375}},
1619 {BlendMode::kSoftLight, {0.266006, 0.693915, 0.758818, 0.9375}},
1620 {BlendMode::kDifference, {0.235294, 0.409412, 0.665098, 0.9375}},
1621 {BlendMode::kExclusion, {0.378316, 0.546897, 0.681707, 0.9375}},
1622 {BlendMode::kMultiply, {0.163783, 0.559493, 0.334441, 0.9375}},
1623 {BlendMode::kHue, {0.266235, 0.748588, 0.373686, 0.9375}},
1624 {BlendMode::kSaturation, {0.339345, 0.629787, 0.811502, 0.9375}},
1625 {BlendMode::kColor, {0.241247, 0.765953, 0.348698, 0.9375}},
1626 {BlendMode::kLuminosity, {0.346988, 0.622282, 0.776792, 0.9375}},
1627 },
1628 {
1629 {BlendMode::kClear, {0, 0, 0, 0}},
1630 {BlendMode::kSrc, {0, 0, 0, 0.75}},
1631 {BlendMode::kDst, {0.392157, 0.584314, 0.929412, 0.75}},
1632 {BlendMode::kSrcOver, {0.0784314, 0.116863, 0.185882, 0.9375}},
1633 {BlendMode::kDstOver, {0.313726, 0.467451, 0.743529, 0.9375}},
1634 {BlendMode::kSrcIn, {0, 0, 0, 0.5625}},
1635 {BlendMode::kDstIn, {0.392157, 0.584314, 0.929412, 0.5625}},
1636 {BlendMode::kSrcOut, {0, 0, 0, 0.1875}},
1637 {BlendMode::kDstOut, {0.392157, 0.584314, 0.929412, 0.1875}},
1638 {BlendMode::kSrcATop, {0.0980392, 0.146078, 0.232353, 0.75}},
1639 {BlendMode::kDstATop, {0.294118, 0.438235, 0.697059, 0.75}},
1640 {BlendMode::kXor, {0.196078, 0.292157, 0.464706, 0.375}},
1641 {BlendMode::kPlus, {0.294118, 0.438235, 0.697059, 1}},
1642 {BlendMode::kModulate, {0, 0, 0, 0.5625}},
1643 {BlendMode::kScreen, {0.313726, 0.467451, 0.743529, 0.9375}},
1644 {BlendMode::kOverlay, {0.0784314, 0.218039, 0.701176, 0.9375}},
1645 {BlendMode::kDarken, {0.0784314, 0.116863, 0.185882, 0.9375}},
1646 {BlendMode::kLighten, {0.313726, 0.467451, 0.743529, 0.9375}},
1647 {BlendMode::kColorDodge, {0.313726, 0.467451, 0.743529, 0.9375}},
1648 {BlendMode::kColorBurn, {0.0784314, 0.116863, 0.185882, 0.9375}},
1649 {BlendMode::kHardLight, {0.0784314, 0.116863, 0.185882, 0.9375}},
1650 {BlendMode::kSoftLight, {0.170704, 0.321716, 0.704166, 0.9375}},
1651 {BlendMode::kDifference, {0.313726, 0.467451, 0.743529, 0.9375}},
1652 {BlendMode::kExclusion, {0.313726, 0.467451, 0.743529, 0.9375}},
1653 {BlendMode::kMultiply, {0.0784314, 0.116863, 0.185882, 0.9375}},
1654 {BlendMode::kHue, {0.417208, 0.455639, 0.524659, 0.9375}},
1655 {BlendMode::kSaturation, {0.417208, 0.455639, 0.524659, 0.9375}},
1656 {BlendMode::kColor, {0.417208, 0.455639, 0.524659, 0.9375}},
1657 {BlendMode::kLuminosity, {0.0784314, 0.116863, 0.185882, 0.9375}},
1658 },
1659 };
1660
1661 /// To print a new ColorBlendTestData::kExpectedResults table, uncomment this
1662 /// test and run with:
1663 /// --gtest_filter="GeometryTest.GenerateColorBlendResults"
1664 /*
1665 TEST(GeometryTest, GenerateColorBlendResults) {
1666 auto& o = std::cout;
1667 using BlendT = std::underlying_type_t<BlendMode>;
1668 o << "{";
1669 for (const auto& source : ColorBlendTestData::kSourceColors) {
1670 o << "{";
1671 for (BlendT blend_i = 0;
1672 blend_i < static_cast<BlendT>(BlendMode::kLast) + 1; blend_i++) {
1673 auto blend = static_cast<BlendMode>(blend_i);
1674 Color c = ColorBlendTestData::kDestinationColor.Blend(source, blend);
1675 o << "{ BlendMode::k" << BlendModeToString(blend) << ", ";
1676 o << "{" << c.red << "," << c.green << "," << c.blue << "," << c.alpha
1677 << "}";
1678 o << "}," << std::endl;
1679 }
1680 o << "},";
1681 }
1682 o << "};" << std::endl;
1683 }
1684 */
1685
1686 #define _BLEND_MODE_RESULT_CHECK(blend_mode) \
1687 expected = ColorBlendTestData::kExpectedResults[source_i] \
1688 .find(BlendMode::k##blend_mode) \
1689 ->second; \
1690 EXPECT_COLOR_NEAR(dst.Blend(src, BlendMode::k##blend_mode), expected);
1691
1692 TEST(GeometryTest, ColorBlendReturnsExpectedResults) {
1693 Color dst = ColorBlendTestData::kDestinationColor;
1694 for (size_t source_i = 0;
1695 source_i < sizeof(ColorBlendTestData::kSourceColors) / sizeof(Color);
1696 source_i++) {
1697 Color src = ColorBlendTestData::kSourceColors[source_i];
1698
1699 Color expected;
1700 IMPELLER_FOR_EACH_BLEND_MODE(_BLEND_MODE_RESULT_CHECK)
1701 }
1702 }
1703
1704 #define _BLEND_MODE_NAME_CHECK(blend_mode) \
1705 case BlendMode::k##blend_mode: \
1706 ASSERT_STREQ(result, #blend_mode); \
1707 break;
1708
1709 TEST(GeometryTest, BlendModeToString) {
1710 using BlendT = std::underlying_type_t<BlendMode>;
1711 for (BlendT i = 0; i <= static_cast<BlendT>(BlendMode::kLastMode); i++) {
1712 auto mode = static_cast<BlendMode>(i);
1713 auto result = BlendModeToString(mode);
1714 switch (mode) { IMPELLER_FOR_EACH_BLEND_MODE(_BLEND_MODE_NAME_CHECK) }
1715 }
1716 }
1717
1718 TEST(GeometryTest, CanConvertBetweenDegressAndRadians) {
1719 {
1720 auto deg = Degrees{90.0};
1721 Radians rad = deg;
1722 ASSERT_FLOAT_EQ(rad.radians, kPiOver2);
1723 }
1724 }
1725
1726 TEST(GeometryTest, MatrixPrinting) {
1727 {
1728 std::stringstream stream;
1729 Matrix m;
1730 stream << m;
1731 ASSERT_EQ(stream.str(), R"((
1732 1.000000, 0.000000, 0.000000, 0.000000,
1733 0.000000, 1.000000, 0.000000, 0.000000,
1734 0.000000, 0.000000, 1.000000, 0.000000,
1735 0.000000, 0.000000, 0.000000, 1.000000,
1736 ))");
1737 }
1738
1739 {
1740 std::stringstream stream;
1741 Matrix m = Matrix::MakeTranslation(Vector3(10, 20, 30));
1742 stream << m;
1743
1744 ASSERT_EQ(stream.str(), R"((
1745 1.000000, 0.000000, 0.000000, 10.000000,
1746 0.000000, 1.000000, 0.000000, 20.000000,
1747 0.000000, 0.000000, 1.000000, 30.000000,
1748 0.000000, 0.000000, 0.000000, 1.000000,
1749 ))");
1750 }
1751 }
1752
1753 TEST(GeometryTest, PointPrinting) {
1754 {
1755 std::stringstream stream;
1756 Point m;
1757 stream << m;
1758 ASSERT_EQ(stream.str(), "(0, 0)");
1759 }
1760
1761 {
1762 std::stringstream stream;
1763 Point m(13, 37);
1764 stream << m;
1765 ASSERT_EQ(stream.str(), "(13, 37)");
1766 }
1767 }
1768
1769 TEST(GeometryTest, Vector3Printing) {
1770 {
1771 std::stringstream stream;
1772 Vector3 m;
1773 stream << m;
1774 ASSERT_EQ(stream.str(), "(0, 0, 0)");
1775 }
1776
1777 {
1778 std::stringstream stream;
1779 Vector3 m(1, 2, 3);
1780 stream << m;
1781 ASSERT_EQ(stream.str(), "(1, 2, 3)");
1782 }
1783 }
1784
1785 TEST(GeometryTest, Vector4Printing) {
1786 {
1787 std::stringstream stream;
1788 Vector4 m;
1789 stream << m;
1790 ASSERT_EQ(stream.str(), "(0, 0, 0, 1)");
1791 }
1792
1793 {
1794 std::stringstream stream;
1795 Vector4 m(1, 2, 3, 4);
1796 stream << m;
1797 ASSERT_EQ(stream.str(), "(1, 2, 3, 4)");
1798 }
1799 }
1800
1801 TEST(GeometryTest, ColorPrinting) {
1802 {
1803 std::stringstream stream;
1804 Color m;
1805 stream << m;
1806 ASSERT_EQ(stream.str(), "(0, 0, 0, 0)");
1807 }
1808
1809 {
1810 std::stringstream stream;
1811 Color m(1, 2, 3, 4);
1812 stream << m;
1813 ASSERT_EQ(stream.str(), "(1, 2, 3, 4)");
1814 }
1815 }
1816
1817 TEST(GeometryTest, ToIColor) {
1818 ASSERT_EQ(Color::ToIColor(Color(0, 0, 0, 0)), 0u);
1819 ASSERT_EQ(Color::ToIColor(Color(1.0, 1.0, 1.0, 1.0)), 0xFFFFFFFF);
1820 ASSERT_EQ(Color::ToIColor(Color(0.5, 0.5, 1.0, 1.0)), 0xFF8080FF);
1821 }
1822
1823 TEST(GeometryTest, Gradient) {
1824 {
1825 // Simple 2 color gradient produces color buffer containing exactly those
1826 // values.
1827 std::vector<Color> colors = {Color::Red(), Color::Blue()};
1828 std::vector<Scalar> stops = {0.0, 1.0};
1829
1830 auto gradient = CreateGradientBuffer(colors, stops);
1831
1832 ASSERT_COLOR_BUFFER_NEAR(gradient.color_bytes, colors);
1833 ASSERT_EQ(gradient.texture_size, 2u);
1834 }
1835
1836 {
1837 // Gradient with duplicate stops does not create an empty texture.
1838 std::vector<Color> colors = {Color::Red(), Color::Yellow(), Color::Black(),
1839 Color::Blue()};
1840 std::vector<Scalar> stops = {0.0, 0.25, 0.25, 1.0};
1841
1842 auto gradient = CreateGradientBuffer(colors, stops);
1843 ASSERT_EQ(gradient.texture_size, 5u);
1844 }
1845
1846 {
1847 // Simple N color gradient produces color buffer containing exactly those
1848 // values.
1849 std::vector<Color> colors = {Color::Red(), Color::Blue(), Color::Green(),
1850 Color::White()};
1851 std::vector<Scalar> stops = {0.0, 0.33, 0.66, 1.0};
1852
1853 auto gradient = CreateGradientBuffer(colors, stops);
1854
1855 ASSERT_COLOR_BUFFER_NEAR(gradient.color_bytes, colors);
1856 ASSERT_EQ(gradient.texture_size, 4u);
1857 }
1858
1859 {
1860 // Gradient with color stops will lerp and scale buffer.
1861 std::vector<Color> colors = {Color::Red(), Color::Blue(), Color::Green()};
1862 std::vector<Scalar> stops = {0.0, 0.25, 1.0};
1863
1864 auto gradient = CreateGradientBuffer(colors, stops);
1865
1866 std::vector<Color> lerped_colors = {
1867 Color::Red(),
1868 Color::Blue(),
1869 Color::Lerp(Color::Blue(), Color::Green(), 0.3333),
1870 Color::Lerp(Color::Blue(), Color::Green(), 0.6666),
1871 Color::Green(),
1872 };
1873 ASSERT_COLOR_BUFFER_NEAR(gradient.color_bytes, lerped_colors);
1874 ASSERT_EQ(gradient.texture_size, 5u);
1875 }
1876
1877 {
1878 // Gradient size is capped at 1024.
1879 std::vector<Color> colors = {};
1880 std::vector<Scalar> stops = {};
1881 for (auto i = 0u; i < 1025; i++) {
1882 colors.push_back(Color::Blue());
1883 stops.push_back(i / 1025.0);
1884 }
1885
1886 auto gradient = CreateGradientBuffer(colors, stops);
1887
1888 ASSERT_EQ(gradient.texture_size, 1024u);
1889 ASSERT_EQ(gradient.color_bytes.size(), 1024u * 4);
1890 }
1891 }
1892
1893 TEST(GeometryTest, HalfConversions) {
1894 #if defined(FML_OS_MACOSX) || defined(FML_OS_IOS) || \
1895 defined(FML_OS_IOS_SIMULATOR)
1896 ASSERT_EQ(ScalarToHalf(0.0), 0.0f16);
1897 ASSERT_EQ(ScalarToHalf(0.05), 0.05f16);
1898 ASSERT_EQ(ScalarToHalf(2.43), 2.43f16);
1899 ASSERT_EQ(ScalarToHalf(-1.45), -1.45f16);
1900
1901 // 65504 is the largest possible half.
1902 ASSERT_EQ(ScalarToHalf(65504.0f), 65504.0f16);
1903 ASSERT_EQ(ScalarToHalf(65504.0f + 1), 65504.0f16);
1904
1905 // Colors
1906 ASSERT_EQ(HalfVector4(Color::Red()),
1907 HalfVector4(1.0f16, 0.0f16, 0.0f16, 1.0f16));
1908 ASSERT_EQ(HalfVector4(Color::Green()),
1909 HalfVector4(0.0f16, 1.0f16, 0.0f16, 1.0f16));
1910 ASSERT_EQ(HalfVector4(Color::Blue()),
1911 HalfVector4(0.0f16, 0.0f16, 1.0f16, 1.0f16));
1912 ASSERT_EQ(HalfVector4(Color::Black().WithAlpha(0)),
1913 HalfVector4(0.0f16, 0.0f16, 0.0f16, 0.0f16));
1914
1915 ASSERT_EQ(HalfVector3(Vector3(4.0, 6.0, -1.0)),
1916 HalfVector3(4.0f16, 6.0f16, -1.0f16));
1917 ASSERT_EQ(HalfVector2(Vector2(4.0, 6.0)), HalfVector2(4.0f16, 6.0f16));
1918
1919 ASSERT_EQ(Half(0.5f), Half(0.5f16));
1920 ASSERT_EQ(Half(0.5), Half(0.5f16));
1921 ASSERT_EQ(Half(5), Half(5.0f16));
1922 #else
1923 GTEST_SKIP() << "Half-precision floats (IEEE 754) are not portable and "
1924 "only used on Apple platforms.";
1925 #endif // FML_OS_MACOSX || FML_OS_IOS || FML_OS_IOS_SIMULATOR
1926 }
1927
1928 } // namespace testing
1929 } // namespace impeller
1930
1931 // NOLINTEND(bugprone-unchecked-optional-access)
color.h
IMPELLER_FOR_EACH_BLEND_MODE
#define IMPELLER_FOR_EACH_BLEND_MODE(V)
Definition: color.h:19
x
int32_t x
Definition: dl_golden_unittests.cc:458
constants.h
_BLEND_MODE_RESULT_CHECK
#define _BLEND_MODE_RESULT_CHECK(blend_mode)
Definition: geometry_unittests.cc:1686
_BLEND_MODE_NAME_CHECK
#define _BLEND_MODE_NAME_CHECK(blend_mode)
Definition: geometry_unittests.cc:1704
geometry_asserts.h
ASSERT_VECTOR4_NEAR
#define ASSERT_VECTOR4_NEAR(a, b)
Definition: geometry_asserts.h:195
ASSERT_MATRIX_NEAR
#define ASSERT_MATRIX_NEAR(a, b)
Definition: geometry_asserts.h:189
ASSERT_QUATERNION_NEAR
#define ASSERT_QUATERNION_NEAR(a, b)
Definition: geometry_asserts.h:190
ASSERT_COLOR_NEAR
#define ASSERT_COLOR_NEAR(a, b)
Definition: geometry_asserts.h:192
ASSERT_POINT_NEAR
#define ASSERT_POINT_NEAR(a, b)
Definition: geometry_asserts.h:193
ASSERT_ARRAY_4_NEAR
#define ASSERT_ARRAY_4_NEAR(a, b)
Definition: geometry_asserts.h:197
ASSERT_COLOR_BUFFER_NEAR
#define ASSERT_COLOR_BUFFER_NEAR(a, b)
Definition: geometry_asserts.h:198
ASSERT_VECTOR3_NEAR
#define ASSERT_VECTOR3_NEAR(a, b)
Definition: geometry_asserts.h:194
gradient.h
half.h
impeller::saturated::b
SI b
Definition: saturated_math.h:87
impeller::testing::TEST
TEST(AllocationSizeTest, CanCreateTypedAllocations)
Definition: allocation_size_unittests.cc:10
impeller
Definition: allocation.cc:12
impeller::k2Pi
constexpr float k2Pi
Definition: constants.h:29
impeller::Vector2
Point Vector2
Definition: point.h:429
impeller::kPi
constexpr float kPi
Definition: constants.h:26
impeller::Scalar
float Scalar
Definition: scalar.h:19
impeller::kEhCloseEnough
constexpr float kEhCloseEnough
Definition: constants.h:57
impeller::ScalarToHalf
constexpr InternalHalf ScalarToHalf(Scalar f)
Convert a scalar to a half precision float.
Definition: half.h:32
impeller::Point
TPoint< Scalar > Point
Definition: point.h:425
impeller::BlendModeToString
const char * BlendModeToString(BlendMode blend_mode)
Definition: color.cc:47
impeller::kPiOver2
constexpr float kPiOver2
Definition: constants.h:32
impeller::BlendMode
BlendMode
Definition: color.h:58
impeller::BlendMode::kSrcOut
@ kSrcOut
impeller::BlendMode::kExclusion
@ kExclusion
impeller::BlendMode::kSaturation
@ kSaturation
impeller::BlendMode::kColorBurn
@ kColorBurn
impeller::BlendMode::kPlus
@ kPlus
impeller::BlendMode::kLighten
@ kLighten
impeller::BlendMode::kHue
@ kHue
impeller::BlendMode::kDst
@ kDst
impeller::BlendMode::kDstIn
@ kDstIn
impeller::BlendMode::kModulate
@ kModulate
impeller::BlendMode::kMultiply
@ kMultiply
impeller::BlendMode::kColorDodge
@ kColorDodge
impeller::BlendMode::kScreen
@ kScreen
impeller::BlendMode::kSrcOver
@ kSrcOver
impeller::BlendMode::kXor
@ kXor
impeller::BlendMode::kSrc
@ kSrc
impeller::BlendMode::kLuminosity
@ kLuminosity
impeller::BlendMode::kSoftLight
@ kSoftLight
impeller::BlendMode::kDifference
@ kDifference
impeller::BlendMode::kOverlay
@ kOverlay
impeller::BlendMode::kSrcATop
@ kSrcATop
impeller::BlendMode::kDstATop
@ kDstATop
impeller::BlendMode::kDstOver
@ kDstOver
impeller::BlendMode::kLastMode
@ kLastMode
impeller::BlendMode::kColor
@ kColor
impeller::BlendMode::kHardLight
@ kHardLight
impeller::BlendMode::kDstOut
@ kDstOut
impeller::BlendMode::kDarken
@ kDarken
impeller::BlendMode::kSrcIn
@ kSrcIn
impeller::BlendMode::kClear
@ kClear
impeller::IPoint
TPoint< int64_t > IPoint
Definition: point.h:426
impeller::kPiOver4
constexpr float kPiOver4
Definition: constants.h:35
impeller::Size
TSize< Scalar > Size
Definition: size.h:159
impeller::CreateGradientBuffer
GradientData CreateGradientBuffer(const std::vector< Color > &colors, const std::vector< Scalar > &stops)
Populate a vector with the interpolated color bytes for the linear gradient described by colors and s...
Definition: gradient.cc:20
impeller::ISize
ISize64 ISize
Definition: size.h:162
impeller::ScalarNearlyEqual
constexpr bool ScalarNearlyEqual(Scalar x, Scalar y, Scalar tolerance=kEhCloseEnough)
Definition: scalar.h:36
impeller::k1OverSqrt2
constexpr float k1OverSqrt2
Definition: constants.h:50
point.h
rect.h
scalar.h
separated_vector.h
size.h
impeller::Color
Definition: color.h:124
impeller::Color::ToR8G8B8A8
std::array< uint8_t, 4 > ToR8G8B8A8() const
Convert to R8G8B8A8 representation.
Definition: color.h:246
impeller::Color::ToIColor
static uint32_t ToIColor(Color color)
Convert this color to a 32-bit representation.
Definition: color.h:159
impeller::Color::LimeGreen
static constexpr Color LimeGreen()
Definition: color.h:602
impeller::Color::BlackTransparent
static constexpr Color BlackTransparent()
Definition: color.h:270
impeller::Color::LinearToSRGB
Color LinearToSRGB() const
Convert the color from linear space to sRGB space.
Definition: color.cc:311
impeller::Color::Black
static constexpr Color Black()
Definition: color.h:266
impeller::Color::CornflowerBlue
static constexpr Color CornflowerBlue()
Definition: color.h:342
impeller::Color::White
static constexpr Color White()
Definition: color.h:264
impeller::Color::WithAlpha
constexpr Color WithAlpha(Scalar new_alpha) const
Definition: color.h:278
impeller::Color::ApplyColorMatrix
Color ApplyColorMatrix(const ColorMatrix &color_matrix) const
A color filter that transforms colors through a 4x5 color matrix.
Definition: color.cc:301
impeller::Color::Red
static constexpr Color Red()
Definition: color.h:272
impeller::Color::Unpremultiply
constexpr Color Unpremultiply() const
Definition: color.h:216
impeller::Color::Premultiply
constexpr Color Premultiply() const
Definition: color.h:212
impeller::Color::MakeRGBA8
static constexpr Color MakeRGBA8(uint8_t r, uint8_t g, uint8_t b, uint8_t a)
Definition: color.h:152
impeller::Color::Clamp01
constexpr Color Clamp01() const
Definition: color.h:236
impeller::Color::Lerp
constexpr static Color Lerp(Color a, Color b, Scalar t)
Return a color that is linearly interpolated between colors a and b, according to the value of t.
Definition: color.h:232
impeller::Color::Yellow
static constexpr Color Yellow()
Definition: color.h:842
impeller::Color::SRGBToLinear
Color SRGBToLinear() const
Convert the color from sRGB space to linear space.
Definition: color.cc:322
impeller::Color::Blue
static constexpr Color Blue()
Definition: color.h:276
impeller::Color::Green
static constexpr Color Green()
Definition: color.h:274
impeller::ColorMatrix
Definition: color.h:117
impeller::Degrees
Definition: scalar.h:66
impeller::Half
A storage only class for half precision floating point.
Definition: half.h:41
impeller::HalfVector2
A storage only class for half precision floating point vector 2.
Definition: half.h:127
impeller::HalfVector3
A storage only class for half precision floating point vector 3.
Definition: half.h:99
impeller::HalfVector4
A storage only class for half precision floating point vector 4.
Definition: half.h:58
impeller::MatrixDecomposition
Definition: matrix_decomposition.h:15
impeller::MatrixDecomposition::scale
Vector3 scale
Definition: matrix_decomposition.h:17
impeller::MatrixDecomposition::rotation
Quaternion rotation
Definition: matrix_decomposition.h:20
impeller::MatrixDecomposition::translation
Vector3 translation
Definition: matrix_decomposition.h:16
impeller::Matrix
A 4x4 matrix using column-major storage.
Definition: matrix.h:37
impeller::Matrix::MakeOrthographic
static constexpr Matrix MakeOrthographic(TSize< T > size)
Definition: matrix.h:633
impeller::Matrix::MakeTranslation
static constexpr Matrix MakeTranslation(const Vector3 &t)
Definition: matrix.h:95
impeller::Matrix::GetDirectionScale
Scalar GetDirectionScale(Vector3 direction) const
Definition: matrix.h:399
impeller::Matrix::Basis
constexpr Matrix Basis() const
The Matrix without its w components (without translation).
Definition: matrix.h:239
impeller::Matrix::Invert
Matrix Invert() const
Definition: matrix.cc:99
impeller::Matrix::MakeColumn
static constexpr Matrix MakeColumn(Scalar m0, Scalar m1, Scalar m2, Scalar m3, Scalar m4, Scalar m5, Scalar m6, Scalar m7, Scalar m8, Scalar m9, Scalar m10, Scalar m11, Scalar m12, Scalar m13, Scalar m14, Scalar m15)
Definition: matrix.h:69
impeller::Matrix::MakeRotationY
static Matrix MakeRotationY(Radians r)
Definition: matrix.h:208
impeller::Matrix::Decompose
std::optional< MatrixDecomposition > Decompose() const
Definition: matrix.cc:202
impeller::Matrix::MakePerspective
static Matrix MakePerspective(Radians fov_y, Scalar aspect_ratio, Scalar z_near, Scalar z_far)
Definition: matrix.h:642
impeller::Matrix::MakeRow
static constexpr Matrix MakeRow(Scalar m0, Scalar m1, Scalar m2, Scalar m3, Scalar m4, Scalar m5, Scalar m6, Scalar m7, Scalar m8, Scalar m9, Scalar m10, Scalar m11, Scalar m12, Scalar m13, Scalar m14, Scalar m15)
Definition: matrix.h:83
impeller::Matrix::MakeSkew
static constexpr Matrix MakeSkew(Scalar sx, Scalar sy)
Definition: matrix.h:127
impeller::Matrix::MakeRotationZ
static Matrix MakeRotationZ(Radians r)
Definition: matrix.h:223
impeller::Matrix::MakeScale
static constexpr Matrix MakeScale(const Vector3 &s)
Definition: matrix.h:104
impeller::Matrix::MakeLookAt
static Matrix MakeLookAt(Vector3 position, Vector3 target, Vector3 up)
Definition: matrix.h:668
impeller::Matrix::MakeRotation
static Matrix MakeRotation(Quaternion q)
Definition: matrix.h:136
impeller::Matrix::MakeRotationX
static Matrix MakeRotationX(Radians r)
Definition: matrix.h:193
impeller::Quaternion
Definition: quaternion.h:14
impeller::Radians
Definition: scalar.h:44
impeller::Radians::radians
Scalar radians
Definition: scalar.h:45
impeller::SeparatedVector2
A Vector2, broken down as a separate magnitude and direction. Assumes that the direction given is nor...
Definition: separated_vector.h:21
impeller::SeparatedVector2::AngleTo
Radians AngleTo(const SeparatedVector2 &other) const
Returns the scalar angle between the two rays.
Definition: separated_vector.cc:29
impeller::SeparatedVector2::GetAlignment
Scalar GetAlignment(const SeparatedVector2 &other) const
Definition: separated_vector.cc:25
impeller::SeparatedVector2::direction
Vector2 direction
The normalized direction of the vector.
Definition: separated_vector.h:23
impeller::SeparatedVector2::GetVector
Vector2 GetVector() const
Returns the vector representation of the vector.
Definition: separated_vector.cc:17
impeller::SeparatedVector2::magnitude
Scalar magnitude
The magnitude of the vector.
Definition: separated_vector.h:26
impeller::TPoint< Scalar >
impeller::TPoint::Abs
constexpr TPoint Abs() const
Definition: point.h:293
impeller::TPoint::Round
static constexpr TPoint Round(const TPoint< U > &other)
Definition: point.h:50
impeller::TPoint::Max
constexpr TPoint Max(const TPoint &p) const
Definition: point.h:191
impeller::TPoint::Ceil
constexpr TPoint Ceil() const
Definition: point.h:197
impeller::TPoint::Normalize
constexpr TPoint Normalize() const
Definition: point.h:285
impeller::TPoint::Cross
constexpr Type Cross(const TPoint &p) const
Definition: point.h:295
impeller::TPoint::Lerp
constexpr TPoint Lerp(const TPoint &p, Scalar t) const
Definition: point.h:334
impeller::TPoint::Floor
constexpr TPoint Floor() const
Definition: point.h:195
impeller::TPoint::Rotate
constexpr TPoint Rotate(const Radians &angle) const
Definition: point.h:314
impeller::TPoint::y
Type y
Definition: point.h:32
impeller::TPoint::x
Type x
Definition: point.h:31
impeller::TPoint::Reflect
constexpr TPoint Reflect(const TPoint &axis) const
Definition: point.h:310
impeller::TPoint::Min
constexpr TPoint Min(const TPoint &p) const
Definition: point.h:187
impeller::TPoint::Dot
constexpr Type Dot(const TPoint &p) const
Definition: point.h:308
impeller::TPoint::AngleTo
constexpr Radians AngleTo(const TPoint &p) const
Definition: point.h:330
impeller::TSize< Scalar >
impeller::TSize::height
Type height
Definition: size.h:29
impeller::TSize::width
Type width
Definition: size.h:28
impeller::TSize::MipCount
constexpr size_t MipCount() const
Return the mip count of the texture.
Definition: size.h:137
impeller::Vector3
Definition: vector.h:20
impeller::Vector3::Min
Vector3 Min(const Vector3 &p) const
Definition: vector.h:70
impeller::Vector3::Lerp
constexpr Vector3 Lerp(const Vector3 &v, Scalar t) const
Definition: vector.h:178
impeller::Vector3::x
Scalar x
Definition: vector.h:23
impeller::Vector3::Round
Vector3 Round() const
Definition: vector.h:86
impeller::Vector3::Ceil
Vector3 Ceil() const
Definition: vector.h:82
impeller::Vector3::Floor
Vector3 Floor() const
Definition: vector.h:78
impeller::Vector3::y
Scalar y
Definition: vector.h:24
impeller::Vector3::Max
Vector3 Max(const Vector3 &p) const
Definition: vector.h:74
impeller::Vector3::z
Scalar z
Definition: vector.h:25
impeller::Vector4
Definition: vector.h:232
impeller::Vector4::Min
constexpr Vector4 Min(const Vector4 &p) const
Definition: vector.h:292
impeller::Vector4::Lerp
constexpr Vector4 Lerp(const Vector4 &v, Scalar t) const
Definition: vector.h:314
impeller::Vector4::Floor
Vector4 Floor() const
Definition: vector.h:302
impeller::Vector4::IsFinite
bool IsFinite() const
Definition: vector.h:258
impeller::Vector4::Round
Vector4 Round() const
Definition: vector.h:310
impeller::Vector4::y
Scalar y
Definition: vector.h:236
impeller::Vector4::Max
constexpr Vector4 Max(const Vector4 &p) const
Definition: vector.h:297
impeller::Vector4::w
Scalar w
Definition: vector.h:238
impeller::Vector4::x
Scalar x
Definition: vector.h:235
impeller::Vector4::Ceil
Vector4 Ceil() const
Definition: vector.h:306
impeller::Vector4::z
Scalar z
Definition: vector.h:237
impeller::testing::ColorBlendTestData
Definition: geometry_unittests.cc:1549
impeller::testing::ColorBlendTestData::kDestinationColor
static constexpr Color kDestinationColor
Definition: geometry_unittests.cc:1550
impeller::testing::ColorBlendTestData::kExpectedResults
static const std::map< BlendMode, Color > kExpectedResults[sizeof(kSourceColors)]
Definition: geometry_unittests.cc:1557
impeller::testing::ColorBlendTestData::kSourceColors
static constexpr Color kSourceColors[]
Definition: geometry_unittests.cc:1552