SkShader* SkPictureShader::refBitmapShader(const SkMatrix& matrix, const SkMatrix* localM) const {
    SkASSERT(fPicture && fPicture->width() > 0 && fPicture->height() > 0);

    SkMatrix m;
    m.setConcat(matrix, this->getLocalMatrix());
    if (localM) {
        m.preConcat(*localM);
    }

    // Use a rotation-invariant scale
    SkPoint scale;
    if (!SkDecomposeUpper2x2(m, NULL, &scale, NULL)) {
        // Decomposition failed, use an approximation.
        scale.set(SkScalarSqrt(m.getScaleX() * m.getScaleX() + m.getSkewX() * m.getSkewX()),
                  SkScalarSqrt(m.getScaleY() * m.getScaleY() + m.getSkewY() * m.getSkewY()));
    }
    SkSize scaledSize = SkSize::Make(scale.x() * fPicture->width(), scale.y() * fPicture->height());

    SkISize tileSize = scaledSize.toRound();
    if (tileSize.isEmpty()) {
        return NULL;
    }

    // The actual scale, compensating for rounding.
    SkSize tileScale = SkSize::Make(SkIntToScalar(tileSize.width()) / fPicture->width(),
                                    SkIntToScalar(tileSize.height()) / fPicture->height());

    SkAutoMutexAcquire ama(fCachedBitmapShaderMutex);

    if (!fCachedBitmapShader || tileScale != fCachedTileScale) {
        SkBitmap bm;
        if (!bm.allocN32Pixels(tileSize.width(), tileSize.height())) {
            return NULL;
        }
        bm.eraseColor(SK_ColorTRANSPARENT);

        SkCanvas canvas(bm);
        canvas.scale(tileScale.width(), tileScale.height());
        canvas.drawPicture(fPicture);

        fCachedTileScale = tileScale;

        SkMatrix shaderMatrix = this->getLocalMatrix();
        shaderMatrix.preScale(1 / tileScale.width(), 1 / tileScale.height());
        fCachedBitmapShader.reset(CreateBitmapShader(bm, fTmx, fTmy, &shaderMatrix));
    }

    // Increment the ref counter inside the mutex to ensure the returned pointer is still valid.
    // Otherwise, the pointer may have been overwritten on a different thread before the object's
    // ref count was incremented.
    fCachedBitmapShader.get()->ref();
    return fCachedBitmapShader;
}
Exemple #2
0
static void test_matrix_decomposition(skiatest::Reporter* reporter) {
    SkMatrix mat;
    SkPoint rotation1, scale, rotation2;

    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, &rotation1, &scale, &rotation2));
    REPORTER_ASSERT(reporter, check_matrix_recomposition(mat, rotation1, scale, rotation2));
    // make sure it doesn't crash if we pass in NULLs
    REPORTER_ASSERT(reporter, SkDecomposeUpper2x2(mat, NULL, NULL, NULL));

    // rotation only
    mat.setRotate(kRotation0);
    REPORTER_ASSERT(reporter, SkDecomposeUpper2x2(mat, &rotation1, &scale, &rotation2));
    REPORTER_ASSERT(reporter, check_matrix_recomposition(mat, rotation1, scale, rotation2));

    // uniform scale only
    mat.setScale(kScale0, kScale0);
    REPORTER_ASSERT(reporter, SkDecomposeUpper2x2(mat, &rotation1, &scale, &rotation2));
    REPORTER_ASSERT(reporter, check_matrix_recomposition(mat, rotation1, scale, rotation2));

    // anisotropic scale only
    mat.setScale(kScale1, kScale0);
    REPORTER_ASSERT(reporter, SkDecomposeUpper2x2(mat, &rotation1, &scale, &rotation2));
    REPORTER_ASSERT(reporter, check_matrix_recomposition(mat, rotation1, scale, rotation2));

    // rotation then uniform scale
    mat.setRotate(kRotation1);
    mat.postScale(kScale0, kScale0);
    REPORTER_ASSERT(reporter, SkDecomposeUpper2x2(mat, &rotation1, &scale, &rotation2));
    REPORTER_ASSERT(reporter, check_matrix_recomposition(mat, rotation1, scale, rotation2));

    // uniform scale then rotation
    mat.setScale(kScale0, kScale0);
    mat.postRotate(kRotation1);
    REPORTER_ASSERT(reporter, SkDecomposeUpper2x2(mat, &rotation1, &scale, &rotation2));
    REPORTER_ASSERT(reporter, check_matrix_recomposition(mat, rotation1, scale, rotation2));

    // rotation then uniform scale+reflection
    mat.setRotate(kRotation0);
    mat.postScale(kScale1, -kScale1);
    REPORTER_ASSERT(reporter, SkDecomposeUpper2x2(mat, &rotation1, &scale, &rotation2));
    REPORTER_ASSERT(reporter, check_matrix_recomposition(mat, rotation1, scale, rotation2));

    // uniform scale+reflection, then rotate
    mat.setScale(kScale0, -kScale0);
    mat.postRotate(kRotation1);
    REPORTER_ASSERT(reporter, SkDecomposeUpper2x2(mat, &rotation1, &scale, &rotation2));
    REPORTER_ASSERT(reporter, check_matrix_recomposition(mat, rotation1, scale, rotation2));

    // rotation then anisotropic scale
    mat.setRotate(kRotation1);
    mat.postScale(kScale1, kScale0);
    REPORTER_ASSERT(reporter, SkDecomposeUpper2x2(mat, &rotation1, &scale, &rotation2));
    REPORTER_ASSERT(reporter, check_matrix_recomposition(mat, rotation1, scale, rotation2));

    // rotation then anisotropic scale
    mat.setRotate(90);
    mat.postScale(kScale1, kScale0);
    REPORTER_ASSERT(reporter, SkDecomposeUpper2x2(mat, &rotation1, &scale, &rotation2));
    REPORTER_ASSERT(reporter, check_matrix_recomposition(mat, rotation1, scale, rotation2));

    // anisotropic scale then rotation
    mat.setScale(kScale1, kScale0);
    mat.postRotate(kRotation0);
    REPORTER_ASSERT(reporter, SkDecomposeUpper2x2(mat, &rotation1, &scale, &rotation2));
    REPORTER_ASSERT(reporter, check_matrix_recomposition(mat, rotation1, scale, rotation2));

    // anisotropic scale then rotation
    mat.setScale(kScale1, kScale0);
    mat.postRotate(90);
    REPORTER_ASSERT(reporter, SkDecomposeUpper2x2(mat, &rotation1, &scale, &rotation2));
    REPORTER_ASSERT(reporter, check_matrix_recomposition(mat, rotation1, scale, rotation2));

    // rotation, uniform scale, then different rotation
    mat.setRotate(kRotation1);
    mat.postScale(kScale0, kScale0);
    mat.postRotate(kRotation0);
    REPORTER_ASSERT(reporter, SkDecomposeUpper2x2(mat, &rotation1, &scale, &rotation2));
    REPORTER_ASSERT(reporter, check_matrix_recomposition(mat, rotation1, scale, rotation2));

    // rotation, anisotropic scale, then different rotation
    mat.setRotate(kRotation0);
    mat.postScale(kScale1, kScale0);
    mat.postRotate(kRotation1);
    REPORTER_ASSERT(reporter, SkDecomposeUpper2x2(mat, &rotation1, &scale, &rotation2));
    REPORTER_ASSERT(reporter, check_matrix_recomposition(mat, rotation1, scale, rotation2));

    // rotation, anisotropic scale + reflection, then different rotation
    mat.setRotate(kRotation0);
    mat.postScale(-kScale1, kScale0);
    mat.postRotate(kRotation1);
    REPORTER_ASSERT(reporter, SkDecomposeUpper2x2(mat, &rotation1, &scale, &rotation2));
    REPORTER_ASSERT(reporter, check_matrix_recomposition(mat, rotation1, scale, rotation2));

    // try some random matrices
    SkRandom rand;
    for (int m = 0; m < 1000; ++m) {
        SkScalar rot0 = rand.nextRangeF(-180, 180);
        SkScalar sx = rand.nextRangeF(-3000.f, 3000.f);
        SkScalar sy = rand.nextRangeF(-3000.f, 3000.f);
        SkScalar rot1 = rand.nextRangeF(-180, 180);
        mat.setRotate(rot0);
        mat.postScale(sx, sy);
        mat.postRotate(rot1);

        if (SkDecomposeUpper2x2(mat, &rotation1, &scale, &rotation2)) {
            REPORTER_ASSERT(reporter, check_matrix_recomposition(mat, rotation1, scale, rotation2));
        } 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, &rotation1, &scale, &rotation2));
    REPORTER_ASSERT(reporter, check_matrix_recomposition(mat, rotation1, scale, rotation2));

    // 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, &rotation1, &scale, &rotation2));
    REPORTER_ASSERT(reporter, check_matrix_recomposition(mat, rotation1, scale, rotation2));

    // degenerate matrices
    // mostly zero entries
    mat.reset();
    mat[SkMatrix::kMScaleX] = 0.f;
    REPORTER_ASSERT(reporter, !SkDecomposeUpper2x2(mat, &rotation1, &scale, &rotation2));
    mat.reset();
    mat[SkMatrix::kMScaleY] = 0.f;
    REPORTER_ASSERT(reporter, !SkDecomposeUpper2x2(mat, &rotation1, &scale, &rotation2));
    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, &rotation1, &scale, &rotation2));
}
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));
}
 void performTest() override {
     SkPoint rotation1, scale, rotation2;
     for (int i = 0; i < 10; ++i) {
         (void) SkDecomposeUpper2x2(fMatrix[i], &rotation1, &scale, &rotation2);
     }
 }