| |
| /* |
| * Copyright 2011 Google Inc. |
| * |
| * Use of this source code is governed by a BSD-style license that can be |
| * found in the LICENSE file. |
| */ |
| #include "Test.h" |
| #include "SkMath.h" |
| #include "SkMatrix.h" |
| #include "SkMatrixUtils.h" |
| #include "SkRandom.h" |
| |
| static bool nearly_equal_scalar(SkScalar a, SkScalar b) { |
| // Note that we get more compounded error for multiple operations when |
| // SK_SCALAR_IS_FIXED. |
| #ifdef SK_SCALAR_IS_FLOAT |
| const SkScalar tolerance = SK_Scalar1 / 200000; |
| #else |
| const SkScalar tolerance = SK_Scalar1 / 1024; |
| #endif |
| |
| return SkScalarAbs(a - b) <= tolerance; |
| } |
| |
| static bool nearly_equal(const SkMatrix& a, const SkMatrix& b) { |
| for (int i = 0; i < 9; i++) { |
| if (!nearly_equal_scalar(a[i], b[i])) { |
| printf("not equal %g %g\n", (float)a[i], (float)b[i]); |
| return false; |
| } |
| } |
| return true; |
| } |
| |
| static bool are_equal(skiatest::Reporter* reporter, |
| const SkMatrix& a, |
| const SkMatrix& b) { |
| bool equal = a == b; |
| bool cheapEqual = a.cheapEqualTo(b); |
| if (equal != cheapEqual) { |
| #ifdef SK_SCALAR_IS_FLOAT |
| if (equal) { |
| bool foundZeroSignDiff = false; |
| for (int i = 0; i < 9; ++i) { |
| float aVal = a.get(i); |
| float bVal = b.get(i); |
| int aValI = *SkTCast<int*>(&aVal); |
| int bValI = *SkTCast<int*>(&bVal); |
| if (0 == aVal && 0 == bVal && aValI != bValI) { |
| foundZeroSignDiff = true; |
| } else { |
| REPORTER_ASSERT(reporter, aVal == bVal && aValI == aValI); |
| } |
| } |
| REPORTER_ASSERT(reporter, foundZeroSignDiff); |
| } else { |
| bool foundNaN = false; |
| for (int i = 0; i < 9; ++i) { |
| float aVal = a.get(i); |
| float bVal = b.get(i); |
| int aValI = *SkTCast<int*>(&aVal); |
| int bValI = *SkTCast<int*>(&bVal); |
| if (sk_float_isnan(aVal) && aValI == bValI) { |
| foundNaN = true; |
| } else { |
| REPORTER_ASSERT(reporter, aVal == bVal && aValI == bValI); |
| } |
| } |
| REPORTER_ASSERT(reporter, foundNaN); |
| } |
| #else |
| REPORTER_ASSERT(reporter, false); |
| #endif |
| } |
| return equal; |
| } |
| |
| static bool is_identity(const SkMatrix& m) { |
| SkMatrix identity; |
| identity.reset(); |
| return nearly_equal(m, identity); |
| } |
| |
| static void test_matrix_recttorect(skiatest::Reporter* reporter) { |
| SkRect src, dst; |
| SkMatrix matrix; |
| |
| src.set(0, 0, SK_Scalar1*10, SK_Scalar1*10); |
| dst = src; |
| matrix.setRectToRect(src, dst, SkMatrix::kFill_ScaleToFit); |
| REPORTER_ASSERT(reporter, SkMatrix::kIdentity_Mask == matrix.getType()); |
| REPORTER_ASSERT(reporter, matrix.rectStaysRect()); |
| |
| dst.offset(SK_Scalar1, SK_Scalar1); |
| matrix.setRectToRect(src, dst, SkMatrix::kFill_ScaleToFit); |
| REPORTER_ASSERT(reporter, SkMatrix::kTranslate_Mask == matrix.getType()); |
| REPORTER_ASSERT(reporter, matrix.rectStaysRect()); |
| |
| dst.fRight += SK_Scalar1; |
| matrix.setRectToRect(src, dst, SkMatrix::kFill_ScaleToFit); |
| REPORTER_ASSERT(reporter, |
| (SkMatrix::kTranslate_Mask | SkMatrix::kScale_Mask) == matrix.getType()); |
| REPORTER_ASSERT(reporter, matrix.rectStaysRect()); |
| |
| dst = src; |
| dst.fRight = src.fRight * 2; |
| matrix.setRectToRect(src, dst, SkMatrix::kFill_ScaleToFit); |
| REPORTER_ASSERT(reporter, SkMatrix::kScale_Mask == matrix.getType()); |
| REPORTER_ASSERT(reporter, matrix.rectStaysRect()); |
| } |
| |
| static void test_flatten(skiatest::Reporter* reporter, const SkMatrix& m) { |
| // add 100 in case we have a bug, I don't want to kill my stack in the test |
| char buffer[SkMatrix::kMaxFlattenSize + 100]; |
| uint32_t size1 = m.writeToMemory(NULL); |
| uint32_t size2 = m.writeToMemory(buffer); |
| REPORTER_ASSERT(reporter, size1 == size2); |
| REPORTER_ASSERT(reporter, size1 <= SkMatrix::kMaxFlattenSize); |
| |
| SkMatrix m2; |
| uint32_t size3 = m2.readFromMemory(buffer); |
| REPORTER_ASSERT(reporter, size1 == size3); |
| REPORTER_ASSERT(reporter, are_equal(reporter, m, m2)); |
| |
| char buffer2[SkMatrix::kMaxFlattenSize + 100]; |
| size3 = m2.writeToMemory(buffer2); |
| REPORTER_ASSERT(reporter, size1 == size3); |
| REPORTER_ASSERT(reporter, memcmp(buffer, buffer2, size1) == 0); |
| } |
| |
| static void test_matrix_max_stretch(skiatest::Reporter* reporter) { |
| SkMatrix identity; |
| identity.reset(); |
| REPORTER_ASSERT(reporter, SK_Scalar1 == identity.getMaxStretch()); |
| |
| SkMatrix scale; |
| scale.setScale(SK_Scalar1 * 2, SK_Scalar1 * 4); |
| REPORTER_ASSERT(reporter, SK_Scalar1 * 4 == scale.getMaxStretch()); |
| |
| SkMatrix rot90Scale; |
| rot90Scale.setRotate(90 * SK_Scalar1); |
| rot90Scale.postScale(SK_Scalar1 / 4, SK_Scalar1 / 2); |
| REPORTER_ASSERT(reporter, SK_Scalar1 / 2 == rot90Scale.getMaxStretch()); |
| |
| SkMatrix rotate; |
| rotate.setRotate(128 * SK_Scalar1); |
| REPORTER_ASSERT(reporter, SkScalarAbs(SK_Scalar1 - rotate.getMaxStretch()) <= SK_ScalarNearlyZero); |
| |
| SkMatrix translate; |
| translate.setTranslate(10 * SK_Scalar1, -5 * SK_Scalar1); |
| REPORTER_ASSERT(reporter, SK_Scalar1 == translate.getMaxStretch()); |
| |
| SkMatrix perspX; |
| perspX.reset(); |
| perspX.setPerspX(SkScalarToPersp(SK_Scalar1 / 1000)); |
| REPORTER_ASSERT(reporter, -SK_Scalar1 == perspX.getMaxStretch()); |
| |
| SkMatrix perspY; |
| perspY.reset(); |
| perspY.setPerspX(SkScalarToPersp(-SK_Scalar1 / 500)); |
| REPORTER_ASSERT(reporter, -SK_Scalar1 == perspY.getMaxStretch()); |
| |
| SkMatrix baseMats[] = {scale, rot90Scale, rotate, |
| translate, perspX, perspY}; |
| SkMatrix mats[2*SK_ARRAY_COUNT(baseMats)]; |
| for (size_t i = 0; i < SK_ARRAY_COUNT(baseMats); ++i) { |
| mats[i] = baseMats[i]; |
| bool invertable = mats[i].invert(&mats[i + SK_ARRAY_COUNT(baseMats)]); |
| REPORTER_ASSERT(reporter, invertable); |
| } |
| SkMWCRandom rand; |
| for (int m = 0; m < 1000; ++m) { |
| SkMatrix mat; |
| mat.reset(); |
| for (int i = 0; i < 4; ++i) { |
| int x = rand.nextU() % SK_ARRAY_COUNT(mats); |
| mat.postConcat(mats[x]); |
| } |
| SkScalar stretch = mat.getMaxStretch(); |
| |
| if ((stretch < 0) != mat.hasPerspective()) { |
| stretch = mat.getMaxStretch(); |
| } |
| |
| REPORTER_ASSERT(reporter, (stretch < 0) == mat.hasPerspective()); |
| |
| if (mat.hasPerspective()) { |
| m -= 1; // try another non-persp matrix |
| continue; |
| } |
| |
| // test a bunch of vectors. None should be scaled by more than stretch |
| // (modulo some error) and we should find a vector that is scaled by |
| // almost stretch. |
| static const SkScalar gStretchTol = (105 * SK_Scalar1) / 100; |
| static const SkScalar gMaxStretchTol = (97 * SK_Scalar1) / 100; |
| SkScalar max = 0; |
| SkVector vectors[1000]; |
| for (size_t i = 0; i < SK_ARRAY_COUNT(vectors); ++i) { |
| vectors[i].fX = rand.nextSScalar1(); |
| vectors[i].fY = rand.nextSScalar1(); |
| if (!vectors[i].normalize()) { |
| i -= 1; |
| continue; |
| } |
| } |
| mat.mapVectors(vectors, SK_ARRAY_COUNT(vectors)); |
| for (size_t i = 0; i < SK_ARRAY_COUNT(vectors); ++i) { |
| SkScalar d = vectors[i].length(); |
| REPORTER_ASSERT(reporter, SkScalarDiv(d, stretch) < gStretchTol); |
| if (max < d) { |
| max = d; |
| } |
| } |
| REPORTER_ASSERT(reporter, SkScalarDiv(max, stretch) >= gMaxStretchTol); |
| } |
| } |
| |
| static void test_matrix_is_similarity(skiatest::Reporter* reporter) { |
| SkMatrix mat; |
| |
| // identity |
| mat.setIdentity(); |
| REPORTER_ASSERT(reporter, mat.isSimilarity()); |
| |
| // translation only |
| mat.reset(); |
| mat.setTranslate(SkIntToScalar(100), SkIntToScalar(100)); |
| REPORTER_ASSERT(reporter, mat.isSimilarity()); |
| |
| // scale with same size |
| mat.reset(); |
| mat.setScale(SkIntToScalar(15), SkIntToScalar(15)); |
| REPORTER_ASSERT(reporter, mat.isSimilarity()); |
| |
| // scale with one negative |
| mat.reset(); |
| mat.setScale(SkIntToScalar(-15), SkIntToScalar(15)); |
| REPORTER_ASSERT(reporter, mat.isSimilarity()); |
| |
| // scale with different size |
| mat.reset(); |
| mat.setScale(SkIntToScalar(15), SkIntToScalar(20)); |
| REPORTER_ASSERT(reporter, !mat.isSimilarity()); |
| |
| // scale with same size at a pivot point |
| mat.reset(); |
| mat.setScale(SkIntToScalar(15), SkIntToScalar(15), |
| SkIntToScalar(2), SkIntToScalar(2)); |
| REPORTER_ASSERT(reporter, mat.isSimilarity()); |
| |
| // scale with different size at a pivot point |
| mat.reset(); |
| mat.setScale(SkIntToScalar(15), SkIntToScalar(20), |
| SkIntToScalar(2), SkIntToScalar(2)); |
| REPORTER_ASSERT(reporter, !mat.isSimilarity()); |
| |
| // skew with same size |
| mat.reset(); |
| mat.setSkew(SkIntToScalar(15), SkIntToScalar(15)); |
| REPORTER_ASSERT(reporter, !mat.isSimilarity()); |
| |
| // skew with different size |
| mat.reset(); |
| mat.setSkew(SkIntToScalar(15), SkIntToScalar(20)); |
| REPORTER_ASSERT(reporter, !mat.isSimilarity()); |
| |
| // skew with same size at a pivot point |
| mat.reset(); |
| mat.setSkew(SkIntToScalar(15), SkIntToScalar(15), |
| SkIntToScalar(2), SkIntToScalar(2)); |
| REPORTER_ASSERT(reporter, !mat.isSimilarity()); |
| |
| // skew with different size at a pivot point |
| mat.reset(); |
| mat.setSkew(SkIntToScalar(15), SkIntToScalar(20), |
| SkIntToScalar(2), SkIntToScalar(2)); |
| REPORTER_ASSERT(reporter, !mat.isSimilarity()); |
| |
| // perspective x |
| mat.reset(); |
| mat.setPerspX(SkScalarToPersp(SK_Scalar1 / 2)); |
| REPORTER_ASSERT(reporter, !mat.isSimilarity()); |
| |
| // perspective y |
| mat.reset(); |
| mat.setPerspY(SkScalarToPersp(SK_Scalar1 / 2)); |
| REPORTER_ASSERT(reporter, !mat.isSimilarity()); |
| |
| #ifdef SK_SCALAR_IS_FLOAT |
| /* We bypass the following tests for SK_SCALAR_IS_FIXED build. |
| * The long discussion can be found in this issue: |
| * http://codereview.appspot.com/5999050/ |
| * In short, we haven't found a perfect way to fix the precision |
| * issue, i.e. the way we use tolerance in isSimilarityTransformation |
| * is incorrect. The situation becomes worse in fixed build, so |
| * we disabled rotation related tests for fixed build. |
| */ |
| |
| // rotate |
| for (int angle = 0; angle < 360; ++angle) { |
| mat.reset(); |
| mat.setRotate(SkIntToScalar(angle)); |
| REPORTER_ASSERT(reporter, mat.isSimilarity()); |
| } |
| |
| // see if there are any accumulated precision issues |
| mat.reset(); |
| for (int i = 1; i < 360; i++) { |
| mat.postRotate(SkIntToScalar(1)); |
| } |
| REPORTER_ASSERT(reporter, mat.isSimilarity()); |
| |
| // rotate + translate |
| mat.reset(); |
| mat.setRotate(SkIntToScalar(30)); |
| mat.postTranslate(SkIntToScalar(10), SkIntToScalar(20)); |
| REPORTER_ASSERT(reporter, mat.isSimilarity()); |
| |
| // rotate + uniform scale |
| mat.reset(); |
| mat.setRotate(SkIntToScalar(30)); |
| mat.postScale(SkIntToScalar(2), SkIntToScalar(2)); |
| REPORTER_ASSERT(reporter, mat.isSimilarity()); |
| |
| // rotate + non-uniform scale |
| mat.reset(); |
| mat.setRotate(SkIntToScalar(30)); |
| mat.postScale(SkIntToScalar(3), SkIntToScalar(2)); |
| REPORTER_ASSERT(reporter, !mat.isSimilarity()); |
| #endif |
| |
| // all zero |
| mat.setAll(0, 0, 0, 0, 0, 0, 0, 0, 0); |
| REPORTER_ASSERT(reporter, !mat.isSimilarity()); |
| |
| // all zero except perspective |
| mat.setAll(0, 0, 0, 0, 0, 0, 0, 0, SK_Scalar1); |
| REPORTER_ASSERT(reporter, !mat.isSimilarity()); |
| |
| // scales zero, only skews |
| mat.setAll(0, SK_Scalar1, 0, |
| SK_Scalar1, 0, 0, |
| 0, 0, SkMatrix::I()[8]); |
| REPORTER_ASSERT(reporter, mat.isSimilarity()); |
| } |
| |
| // For test_matrix_decomposition, below. |
| static bool scalar_nearly_equal_relative(SkScalar a, SkScalar b, |
| SkScalar tolerance = SK_ScalarNearlyZero) { |
| // from Bruce Dawson |
| SkScalar diff = SkScalarAbs(a - b); |
| if (diff < tolerance) { |
| return true; |
| } |
| |
| a = SkScalarAbs(a); |
| b = SkScalarAbs(b); |
| SkScalar largest = (b > a) ? b : a; |
| |
| if (diff <= largest*tolerance) { |
| return true; |
| } |
| |
| return false; |
| } |
| |
| static void test_matrix_decomposition(skiatest::Reporter* reporter) { |
| SkMatrix mat; |
| SkScalar rotation0, scaleX, scaleY, rotation1; |
| |
| const float kRotation0 = 15.5f; |
| const float kRotation1 = -50.f; |
| const float kScale0 = 5000.f; |
| const float kScale1 = 0.001f; |
| |
| // identity |
| mat.reset(); |
| REPORTER_ASSERT(reporter, SkDecomposeUpper2x2(mat, &rotation0, &scaleX, &scaleY, &rotation1)); |
| REPORTER_ASSERT(reporter, SkScalarNearlyZero(rotation0)); |
| REPORTER_ASSERT(reporter, SkScalarNearlyEqual(scaleX, SK_Scalar1)); |
| REPORTER_ASSERT(reporter, SkScalarNearlyEqual(scaleY, SK_Scalar1)); |
| REPORTER_ASSERT(reporter, SkScalarNearlyZero(rotation1)); |
| // make sure it doesn't crash if we pass in NULLs |
| REPORTER_ASSERT(reporter, SkDecomposeUpper2x2(mat, NULL, NULL, NULL, NULL)); |
| |
| // rotation only |
| mat.setRotate(kRotation0); |
| REPORTER_ASSERT(reporter, SkDecomposeUpper2x2(mat, &rotation0, &scaleX, &scaleY, &rotation1)); |
| REPORTER_ASSERT(reporter, SkScalarNearlyEqual(rotation0, SkDegreesToRadians(kRotation0))); |
| REPORTER_ASSERT(reporter, SkScalarNearlyEqual(scaleX, SK_Scalar1)); |
| REPORTER_ASSERT(reporter, SkScalarNearlyEqual(scaleY, SK_Scalar1)); |
| REPORTER_ASSERT(reporter, SkScalarNearlyZero(rotation1)); |
| |
| // uniform scale only |
| mat.setScale(kScale0, kScale0); |
| REPORTER_ASSERT(reporter, SkDecomposeUpper2x2(mat, &rotation0, &scaleX, &scaleY, &rotation1)); |
| REPORTER_ASSERT(reporter, SkScalarNearlyZero(rotation0)); |
| REPORTER_ASSERT(reporter, SkScalarNearlyEqual(scaleX, kScale0)); |
| REPORTER_ASSERT(reporter, SkScalarNearlyEqual(scaleY, kScale0)); |
| REPORTER_ASSERT(reporter, SkScalarNearlyZero(rotation1)); |
| |
| // anisotropic scale only |
| mat.setScale(kScale1, kScale0); |
| REPORTER_ASSERT(reporter, SkDecomposeUpper2x2(mat, &rotation0, &scaleX, &scaleY, &rotation1)); |
| REPORTER_ASSERT(reporter, SkScalarNearlyZero(rotation0)); |
| REPORTER_ASSERT(reporter, SkScalarNearlyEqual(scaleX, kScale1)); |
| REPORTER_ASSERT(reporter, SkScalarNearlyEqual(scaleY, kScale0)); |
| REPORTER_ASSERT(reporter, SkScalarNearlyZero(rotation1)); |
| |
| // rotation then uniform scale |
| mat.setRotate(kRotation1); |
| mat.postScale(kScale0, kScale0); |
| REPORTER_ASSERT(reporter, SkDecomposeUpper2x2(mat, &rotation0, &scaleX, &scaleY, &rotation1)); |
| REPORTER_ASSERT(reporter, SkScalarNearlyEqual(rotation0, SkDegreesToRadians(kRotation1))); |
| REPORTER_ASSERT(reporter, SkScalarNearlyEqual(scaleX, kScale0)); |
| REPORTER_ASSERT(reporter, SkScalarNearlyEqual(scaleY, kScale0)); |
| REPORTER_ASSERT(reporter, SkScalarNearlyZero(rotation1)); |
| |
| // uniform scale then rotation |
| mat.setScale(kScale0, kScale0); |
| mat.postRotate(kRotation1); |
| REPORTER_ASSERT(reporter, SkDecomposeUpper2x2(mat, &rotation0, &scaleX, &scaleY, &rotation1)); |
| REPORTER_ASSERT(reporter, SkScalarNearlyEqual(rotation0, SkDegreesToRadians(kRotation1))); |
| REPORTER_ASSERT(reporter, SkScalarNearlyEqual(scaleX, kScale0)); |
| REPORTER_ASSERT(reporter, SkScalarNearlyEqual(scaleY, kScale0)); |
| REPORTER_ASSERT(reporter, SkScalarNearlyZero(rotation1)); |
| |
| // rotation then uniform scale+reflection |
| mat.setRotate(kRotation0); |
| mat.postScale(kScale1, -kScale1); |
| REPORTER_ASSERT(reporter, SkDecomposeUpper2x2(mat, &rotation0, &scaleX, &scaleY, &rotation1)); |
| REPORTER_ASSERT(reporter, SkScalarNearlyEqual(rotation0, SkDegreesToRadians(kRotation0))); |
| REPORTER_ASSERT(reporter, SkScalarNearlyEqual(scaleX, kScale1)); |
| REPORTER_ASSERT(reporter, SkScalarNearlyEqual(scaleY, -kScale1)); |
| REPORTER_ASSERT(reporter, SkScalarNearlyZero(rotation1)); |
| |
| // uniform scale+reflection, then rotate |
| mat.setScale(kScale0, -kScale0); |
| mat.postRotate(kRotation1); |
| REPORTER_ASSERT(reporter, SkDecomposeUpper2x2(mat, &rotation0, &scaleX, &scaleY, &rotation1)); |
| REPORTER_ASSERT(reporter, SkScalarNearlyEqual(rotation0, SkDegreesToRadians(-kRotation1))); |
| REPORTER_ASSERT(reporter, SkScalarNearlyEqual(scaleX, kScale0)); |
| REPORTER_ASSERT(reporter, SkScalarNearlyEqual(scaleY, -kScale0)); |
| REPORTER_ASSERT(reporter, SkScalarNearlyZero(rotation1)); |
| |
| // rotation then anisotropic scale |
| mat.setRotate(kRotation1); |
| mat.postScale(kScale1, kScale0); |
| REPORTER_ASSERT(reporter, SkDecomposeUpper2x2(mat, &rotation0, &scaleX, &scaleY, &rotation1)); |
| REPORTER_ASSERT(reporter, SkScalarNearlyEqual(rotation0, SkDegreesToRadians(kRotation1))); |
| REPORTER_ASSERT(reporter, SkScalarNearlyEqual(scaleX, kScale1)); |
| REPORTER_ASSERT(reporter, SkScalarNearlyEqual(scaleY, kScale0)); |
| REPORTER_ASSERT(reporter, SkScalarNearlyZero(rotation1)); |
| |
| // anisotropic scale then rotation |
| mat.setScale(kScale1, kScale0); |
| mat.postRotate(kRotation0); |
| REPORTER_ASSERT(reporter, SkDecomposeUpper2x2(mat, &rotation0, &scaleX, &scaleY, &rotation1)); |
| REPORTER_ASSERT(reporter, SkScalarNearlyZero(rotation0)); |
| REPORTER_ASSERT(reporter, SkScalarNearlyEqual(scaleX, kScale1)); |
| REPORTER_ASSERT(reporter, SkScalarNearlyEqual(scaleY, kScale0)); |
| REPORTER_ASSERT(reporter, SkScalarNearlyEqual(rotation1, SkDegreesToRadians(kRotation0))); |
| |
| // rotation, uniform scale, then different rotation |
| mat.setRotate(kRotation1); |
| mat.postScale(kScale0, kScale0); |
| mat.postRotate(kRotation0); |
| REPORTER_ASSERT(reporter, SkDecomposeUpper2x2(mat, &rotation0, &scaleX, &scaleY, &rotation1)); |
| REPORTER_ASSERT(reporter, SkScalarNearlyEqual(rotation0, |
| SkDegreesToRadians(kRotation0 + kRotation1))); |
| REPORTER_ASSERT(reporter, SkScalarNearlyEqual(scaleX, kScale0)); |
| REPORTER_ASSERT(reporter, SkScalarNearlyEqual(scaleY, kScale0)); |
| REPORTER_ASSERT(reporter, SkScalarNearlyZero(rotation1)); |
| |
| // rotation, anisotropic scale, then different rotation |
| mat.setRotate(kRotation0); |
| mat.postScale(kScale1, kScale0); |
| mat.postRotate(kRotation1); |
| REPORTER_ASSERT(reporter, SkDecomposeUpper2x2(mat, &rotation0, &scaleX, &scaleY, &rotation1)); |
| // Because of the shear/skew we won't get the same results, so we need to multiply it out. |
| // Generating the matrices requires doing a radian-to-degree calculation, then degree-to-radian |
| // calculation (in setRotate()), which adds error, so this just computes the matrix elements |
| // directly. |
| SkScalar c0; |
| SkScalar s0 = SkScalarSinCos(rotation0, &c0); |
| SkScalar c1; |
| SkScalar s1 = SkScalarSinCos(rotation1, &c1); |
| // We do a relative check here because large scale factors cause problems with an absolute check |
| REPORTER_ASSERT(reporter, scalar_nearly_equal_relative(mat[SkMatrix::kMScaleX], |
| scaleX*c0*c1 - scaleY*s0*s1)); |
| REPORTER_ASSERT(reporter, scalar_nearly_equal_relative(mat[SkMatrix::kMSkewX], |
| -scaleX*s0*c1 - scaleY*c0*s1)); |
| REPORTER_ASSERT(reporter, scalar_nearly_equal_relative(mat[SkMatrix::kMSkewY], |
| scaleX*c0*s1 + scaleY*s0*c1)); |
| REPORTER_ASSERT(reporter, scalar_nearly_equal_relative(mat[SkMatrix::kMScaleY], |
| -scaleX*s0*s1 + scaleY*c0*c1)); |
| |
| // try some random matrices |
| SkMWCRandom rand; |
| for (int m = 0; m < 1000; ++m) { |
| SkScalar rot0 = rand.nextRangeF(-SK_ScalarPI, SK_ScalarPI); |
| SkScalar sx = rand.nextRangeF(-3000.f, 3000.f); |
| SkScalar sy = rand.nextRangeF(-3000.f, 3000.f); |
| SkScalar rot1 = rand.nextRangeF(-SK_ScalarPI, SK_ScalarPI); |
| mat.setRotate(rot0); |
| mat.postScale(sx, sy); |
| mat.postRotate(rot1); |
| |
| if (SkDecomposeUpper2x2(mat, &rotation0, &scaleX, &scaleY, &rotation1)) { |
| SkScalar c0; |
| SkScalar s0 = SkScalarSinCos(rotation0, &c0); |
| SkScalar c1; |
| SkScalar s1 = SkScalarSinCos(rotation1, &c1); |
| REPORTER_ASSERT(reporter, scalar_nearly_equal_relative(mat[SkMatrix::kMScaleX], |
| scaleX*c0*c1 - scaleY*s0*s1)); |
| REPORTER_ASSERT(reporter, scalar_nearly_equal_relative(mat[SkMatrix::kMSkewX], |
| -scaleX*s0*c1 - scaleY*c0*s1)); |
| REPORTER_ASSERT(reporter, scalar_nearly_equal_relative(mat[SkMatrix::kMSkewY], |
| scaleX*c0*s1 + scaleY*s0*c1)); |
| REPORTER_ASSERT(reporter, scalar_nearly_equal_relative(mat[SkMatrix::kMScaleY], |
| -scaleX*s0*s1 + scaleY*c0*c1)); |
| } else { |
| // if the matrix is degenerate, the basis vectors should be near-parallel or near-zero |
| SkScalar perpdot = mat[SkMatrix::kMScaleX]*mat[SkMatrix::kMScaleY] - |
| mat[SkMatrix::kMSkewX]*mat[SkMatrix::kMSkewY]; |
| REPORTER_ASSERT(reporter, SkScalarNearlyZero(perpdot)); |
| } |
| } |
| |
| // translation shouldn't affect this |
| mat.postTranslate(-1000.f, 1000.f); |
| REPORTER_ASSERT(reporter, SkDecomposeUpper2x2(mat, &rotation0, &scaleX, &scaleY, &rotation1)); |
| s0 = SkScalarSinCos(rotation0, &c0); |
| s1 = SkScalarSinCos(rotation1, &c1); |
| REPORTER_ASSERT(reporter, scalar_nearly_equal_relative(mat[SkMatrix::kMScaleX], |
| scaleX*c0*c1 - scaleY*s0*s1)); |
| REPORTER_ASSERT(reporter, scalar_nearly_equal_relative(mat[SkMatrix::kMSkewX], |
| -scaleX*s0*c1 - scaleY*c0*s1)); |
| REPORTER_ASSERT(reporter, scalar_nearly_equal_relative(mat[SkMatrix::kMSkewY], |
| scaleX*c0*s1 + scaleY*s0*c1)); |
| REPORTER_ASSERT(reporter, scalar_nearly_equal_relative(mat[SkMatrix::kMScaleY], |
| -scaleX*s0*s1 + scaleY*c0*c1)); |
| |
| // perspective shouldn't affect this |
| mat[SkMatrix::kMPersp0] = 12.f; |
| mat[SkMatrix::kMPersp1] = 4.f; |
| mat[SkMatrix::kMPersp2] = 1872.f; |
| REPORTER_ASSERT(reporter, SkDecomposeUpper2x2(mat, &rotation0, &scaleX, &scaleY, &rotation1)); |
| s0 = SkScalarSinCos(rotation0, &c0); |
| s1 = SkScalarSinCos(rotation1, &c1); |
| REPORTER_ASSERT(reporter, scalar_nearly_equal_relative(mat[SkMatrix::kMScaleX], |
| scaleX*c0*c1 - scaleY*s0*s1)); |
| REPORTER_ASSERT(reporter, scalar_nearly_equal_relative(mat[SkMatrix::kMSkewX], |
| -scaleX*s0*c1 - scaleY*c0*s1)); |
| REPORTER_ASSERT(reporter, scalar_nearly_equal_relative(mat[SkMatrix::kMSkewY], |
| scaleX*c0*s1 + scaleY*s0*c1)); |
| REPORTER_ASSERT(reporter, scalar_nearly_equal_relative(mat[SkMatrix::kMScaleY], |
| -scaleX*s0*s1 + scaleY*c0*c1)); |
| |
| // rotation, anisotropic scale + reflection, then different rotation |
| mat.setRotate(kRotation0); |
| mat.postScale(-kScale1, kScale0); |
| mat.postRotate(kRotation1); |
| REPORTER_ASSERT(reporter, SkDecomposeUpper2x2(mat, &rotation0, &scaleX, &scaleY, &rotation1)); |
| s0 = SkScalarSinCos(rotation0, &c0); |
| s1 = SkScalarSinCos(rotation1, &c1); |
| REPORTER_ASSERT(reporter, scalar_nearly_equal_relative(mat[SkMatrix::kMScaleX], |
| scaleX*c0*c1 - scaleY*s0*s1)); |
| REPORTER_ASSERT(reporter, scalar_nearly_equal_relative(mat[SkMatrix::kMSkewX], |
| -scaleX*s0*c1 - scaleY*c0*s1)); |
| REPORTER_ASSERT(reporter, scalar_nearly_equal_relative(mat[SkMatrix::kMSkewY], |
| scaleX*c0*s1 + scaleY*s0*c1)); |
| REPORTER_ASSERT(reporter, scalar_nearly_equal_relative(mat[SkMatrix::kMScaleY], |
| -scaleX*s0*s1 + scaleY*c0*c1)); |
| |
| // degenerate matrices |
| // mostly zero entries |
| mat.reset(); |
| mat[SkMatrix::kMScaleX] = 0.f; |
| REPORTER_ASSERT(reporter, !SkDecomposeUpper2x2(mat, &rotation0, &scaleX, &scaleY, &rotation1)); |
| mat.reset(); |
| mat[SkMatrix::kMScaleY] = 0.f; |
| REPORTER_ASSERT(reporter, !SkDecomposeUpper2x2(mat, &rotation0, &scaleX, &scaleY, &rotation1)); |
| mat.reset(); |
| // linearly dependent entries |
| mat[SkMatrix::kMScaleX] = 1.f; |
| mat[SkMatrix::kMSkewX] = 2.f; |
| mat[SkMatrix::kMSkewY] = 4.f; |
| mat[SkMatrix::kMScaleY] = 8.f; |
| REPORTER_ASSERT(reporter, !SkDecomposeUpper2x2(mat, &rotation0, &scaleX, &scaleY, &rotation1)); |
| } |
| |
| static void TestMatrix(skiatest::Reporter* reporter) { |
| SkMatrix mat, inverse, iden1, iden2; |
| |
| mat.reset(); |
| mat.setTranslate(SK_Scalar1, SK_Scalar1); |
| REPORTER_ASSERT(reporter, mat.invert(&inverse)); |
| iden1.setConcat(mat, inverse); |
| REPORTER_ASSERT(reporter, is_identity(iden1)); |
| |
| mat.setScale(SkIntToScalar(2), SkIntToScalar(4)); |
| REPORTER_ASSERT(reporter, mat.invert(&inverse)); |
| iden1.setConcat(mat, inverse); |
| REPORTER_ASSERT(reporter, is_identity(iden1)); |
| test_flatten(reporter, mat); |
| |
| mat.setScale(SK_Scalar1/2, SkIntToScalar(2)); |
| REPORTER_ASSERT(reporter, mat.invert(&inverse)); |
| iden1.setConcat(mat, inverse); |
| REPORTER_ASSERT(reporter, is_identity(iden1)); |
| test_flatten(reporter, mat); |
| |
| mat.setScale(SkIntToScalar(3), SkIntToScalar(5), SkIntToScalar(20), 0); |
| mat.postRotate(SkIntToScalar(25)); |
| REPORTER_ASSERT(reporter, mat.invert(NULL)); |
| REPORTER_ASSERT(reporter, mat.invert(&inverse)); |
| iden1.setConcat(mat, inverse); |
| REPORTER_ASSERT(reporter, is_identity(iden1)); |
| iden2.setConcat(inverse, mat); |
| REPORTER_ASSERT(reporter, is_identity(iden2)); |
| test_flatten(reporter, mat); |
| test_flatten(reporter, iden2); |
| |
| mat.setScale(0, SK_Scalar1); |
| REPORTER_ASSERT(reporter, !mat.invert(NULL)); |
| REPORTER_ASSERT(reporter, !mat.invert(&inverse)); |
| mat.setScale(SK_Scalar1, 0); |
| REPORTER_ASSERT(reporter, !mat.invert(NULL)); |
| REPORTER_ASSERT(reporter, !mat.invert(&inverse)); |
| |
| // rectStaysRect test |
| { |
| static const struct { |
| SkScalar m00, m01, m10, m11; |
| bool mStaysRect; |
| } |
| gRectStaysRectSamples[] = { |
| { 0, 0, 0, 0, false }, |
| { 0, 0, 0, SK_Scalar1, false }, |
| { 0, 0, SK_Scalar1, 0, false }, |
| { 0, 0, SK_Scalar1, SK_Scalar1, false }, |
| { 0, SK_Scalar1, 0, 0, false }, |
| { 0, SK_Scalar1, 0, SK_Scalar1, false }, |
| { 0, SK_Scalar1, SK_Scalar1, 0, true }, |
| { 0, SK_Scalar1, SK_Scalar1, SK_Scalar1, false }, |
| { SK_Scalar1, 0, 0, 0, false }, |
| { SK_Scalar1, 0, 0, SK_Scalar1, true }, |
| { SK_Scalar1, 0, SK_Scalar1, 0, false }, |
| { SK_Scalar1, 0, SK_Scalar1, SK_Scalar1, false }, |
| { SK_Scalar1, SK_Scalar1, 0, 0, false }, |
| { SK_Scalar1, SK_Scalar1, 0, SK_Scalar1, false }, |
| { SK_Scalar1, SK_Scalar1, SK_Scalar1, 0, false }, |
| { SK_Scalar1, SK_Scalar1, SK_Scalar1, SK_Scalar1, false } |
| }; |
| |
| for (size_t i = 0; i < SK_ARRAY_COUNT(gRectStaysRectSamples); i++) { |
| SkMatrix m; |
| |
| m.reset(); |
| m.set(SkMatrix::kMScaleX, gRectStaysRectSamples[i].m00); |
| m.set(SkMatrix::kMSkewX, gRectStaysRectSamples[i].m01); |
| m.set(SkMatrix::kMSkewY, gRectStaysRectSamples[i].m10); |
| m.set(SkMatrix::kMScaleY, gRectStaysRectSamples[i].m11); |
| REPORTER_ASSERT(reporter, |
| m.rectStaysRect() == gRectStaysRectSamples[i].mStaysRect); |
| } |
| } |
| |
| mat.reset(); |
| mat.set(SkMatrix::kMScaleX, SkIntToScalar(1)); |
| mat.set(SkMatrix::kMSkewX, SkIntToScalar(2)); |
| mat.set(SkMatrix::kMTransX, SkIntToScalar(3)); |
| mat.set(SkMatrix::kMSkewY, SkIntToScalar(4)); |
| mat.set(SkMatrix::kMScaleY, SkIntToScalar(5)); |
| mat.set(SkMatrix::kMTransY, SkIntToScalar(6)); |
| SkScalar affine[6]; |
| REPORTER_ASSERT(reporter, mat.asAffine(affine)); |
| |
| #define affineEqual(e) affine[SkMatrix::kA##e] == mat.get(SkMatrix::kM##e) |
| REPORTER_ASSERT(reporter, affineEqual(ScaleX)); |
| REPORTER_ASSERT(reporter, affineEqual(SkewY)); |
| REPORTER_ASSERT(reporter, affineEqual(SkewX)); |
| REPORTER_ASSERT(reporter, affineEqual(ScaleY)); |
| REPORTER_ASSERT(reporter, affineEqual(TransX)); |
| REPORTER_ASSERT(reporter, affineEqual(TransY)); |
| #undef affineEqual |
| |
| mat.set(SkMatrix::kMPersp1, SkScalarToPersp(SK_Scalar1 / 2)); |
| REPORTER_ASSERT(reporter, !mat.asAffine(affine)); |
| |
| SkMatrix mat2; |
| mat2.reset(); |
| mat.reset(); |
| SkScalar zero = 0; |
| mat.set(SkMatrix::kMSkewX, -zero); |
| REPORTER_ASSERT(reporter, are_equal(reporter, mat, mat2)); |
| |
| mat2.reset(); |
| mat.reset(); |
| mat.set(SkMatrix::kMSkewX, SK_ScalarNaN); |
| mat2.set(SkMatrix::kMSkewX, SK_ScalarNaN); |
| // fixed pt doesn't have the property that NaN does not equal itself. |
| #ifdef SK_SCALAR_IS_FIXED |
| REPORTER_ASSERT(reporter, are_equal(reporter, mat, mat2)); |
| #else |
| REPORTER_ASSERT(reporter, !are_equal(reporter, mat, mat2)); |
| #endif |
| |
| test_matrix_max_stretch(reporter); |
| test_matrix_is_similarity(reporter); |
| test_matrix_recttorect(reporter); |
| test_matrix_decomposition(reporter); |
| } |
| |
| #include "TestClassDef.h" |
| DEFINE_TESTCLASS("Matrix", MatrixTestClass, TestMatrix) |