| /* |
| * 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 "SkMatrix44.h" |
| |
| static bool nearly_equal_double(double a, double b) { |
| const double tolerance = 1e-7; |
| double diff = a - b; |
| if (diff < 0) |
| diff = -diff; |
| return diff <= tolerance; |
| } |
| |
| static bool nearly_equal_scalar(SkMScalar a, SkMScalar 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 SkTAbs<SkMScalar>(a - b) <= tolerance; |
| } |
| |
| template <typename T> void assert16(skiatest::Reporter* reporter, const T data[], |
| T m0, T m1, T m2, T m3, |
| T m4, T m5, T m6, T m7, |
| T m8, T m9, T m10, T m11, |
| T m12, T m13, T m14, T m15) { |
| REPORTER_ASSERT(reporter, data[0] == m0); |
| REPORTER_ASSERT(reporter, data[1] == m1); |
| REPORTER_ASSERT(reporter, data[2] == m2); |
| REPORTER_ASSERT(reporter, data[3] == m3); |
| |
| REPORTER_ASSERT(reporter, data[4] == m4); |
| REPORTER_ASSERT(reporter, data[5] == m5); |
| REPORTER_ASSERT(reporter, data[6] == m6); |
| REPORTER_ASSERT(reporter, data[7] == m7); |
| |
| REPORTER_ASSERT(reporter, data[8] == m8); |
| REPORTER_ASSERT(reporter, data[9] == m9); |
| REPORTER_ASSERT(reporter, data[10] == m10); |
| REPORTER_ASSERT(reporter, data[11] == m11); |
| |
| REPORTER_ASSERT(reporter, data[12] == m12); |
| REPORTER_ASSERT(reporter, data[13] == m13); |
| REPORTER_ASSERT(reporter, data[14] == m14); |
| REPORTER_ASSERT(reporter, data[15] == m15); |
| } |
| |
| static bool nearly_equal(const SkMatrix44& a, const SkMatrix44& b) { |
| for (int i = 0; i < 4; ++i) { |
| for (int j = 0; j < 4; ++j) { |
| if (!nearly_equal_scalar(a.get(i, j), b.get(i, j))) { |
| printf("not equal %g %g\n", a.get(i, j), b.get(i, j)); |
| return false; |
| } |
| } |
| } |
| return true; |
| } |
| |
| static bool is_identity(const SkMatrix44& m) { |
| SkMatrix44 identity; |
| identity.reset(); |
| return nearly_equal(m, identity); |
| } |
| |
| /////////////////////////////////////////////////////////////////////////////// |
| static bool bits_isonly(int value, int mask) { |
| return 0 == (value & ~mask); |
| } |
| |
| static void test_constructor(skiatest::Reporter* reporter) { |
| // Allocate a matrix on the heap |
| SkMatrix44* placeholderMatrix = new SkMatrix44(); |
| SkAutoTDelete<SkMatrix44> deleteMe(placeholderMatrix); |
| |
| for (int row = 0; row < 4; ++row) { |
| for (int col = 0; col < 4; ++col) { |
| placeholderMatrix->setDouble(row, col, row * col); |
| } |
| } |
| |
| // Use placement-new syntax to trigger the constructor on top of the heap |
| // address we already initialized. This allows us to check that the |
| // constructor did avoid initializing the matrix contents. |
| SkMatrix44* testMatrix = new(placeholderMatrix) SkMatrix44(SkMatrix44::kUninitialized_Constructor); |
| REPORTER_ASSERT(reporter, testMatrix == placeholderMatrix); |
| REPORTER_ASSERT(reporter, !testMatrix->isIdentity()); |
| for (int row = 0; row < 4; ++row) { |
| for (int col = 0; col < 4; ++col) { |
| REPORTER_ASSERT(reporter, nearly_equal_double(row * col, testMatrix->getDouble(row, col))); |
| } |
| } |
| |
| // Verify that kIdentity_Constructor really does initialize to an identity matrix. |
| testMatrix = 0; |
| testMatrix = new(placeholderMatrix) SkMatrix44(SkMatrix44::kIdentity_Constructor); |
| REPORTER_ASSERT(reporter, testMatrix == placeholderMatrix); |
| REPORTER_ASSERT(reporter, testMatrix->isIdentity()); |
| REPORTER_ASSERT(reporter, *testMatrix == SkMatrix44::I()); |
| } |
| |
| static void test_translate(skiatest::Reporter* reporter) { |
| SkMatrix44 mat, inverse; |
| |
| mat.setTranslate(0, 0, 0); |
| REPORTER_ASSERT(reporter, bits_isonly(mat.getType(), SkMatrix44::kIdentity_Mask)); |
| mat.setTranslate(1, 2, 3); |
| REPORTER_ASSERT(reporter, bits_isonly(mat.getType(), SkMatrix44::kTranslate_Mask)); |
| REPORTER_ASSERT(reporter, mat.invert(&inverse)); |
| REPORTER_ASSERT(reporter, bits_isonly(inverse.getType(), SkMatrix44::kTranslate_Mask)); |
| |
| SkMatrix44 a, b, c; |
| a.set3x3(1, 2, 3, 4, 5, 6, 7, 8, 9); |
| b.setTranslate(10, 11, 12); |
| |
| c.setConcat(a, b); |
| mat = a; |
| mat.preTranslate(10, 11, 12); |
| REPORTER_ASSERT(reporter, mat == c); |
| |
| c.setConcat(b, a); |
| mat = a; |
| mat.postTranslate(10, 11, 12); |
| REPORTER_ASSERT(reporter, mat == c); |
| } |
| |
| static void test_scale(skiatest::Reporter* reporter) { |
| SkMatrix44 mat, inverse; |
| |
| mat.setScale(1, 1, 1); |
| REPORTER_ASSERT(reporter, bits_isonly(mat.getType(), SkMatrix44::kIdentity_Mask)); |
| mat.setScale(1, 2, 3); |
| REPORTER_ASSERT(reporter, bits_isonly(mat.getType(), SkMatrix44::kScale_Mask)); |
| REPORTER_ASSERT(reporter, mat.invert(&inverse)); |
| REPORTER_ASSERT(reporter, bits_isonly(inverse.getType(), SkMatrix44::kScale_Mask)); |
| |
| SkMatrix44 a, b, c; |
| a.set3x3(1, 2, 3, 4, 5, 6, 7, 8, 9); |
| b.setScale(10, 11, 12); |
| |
| c.setConcat(a, b); |
| mat = a; |
| mat.preScale(10, 11, 12); |
| REPORTER_ASSERT(reporter, mat == c); |
| |
| c.setConcat(b, a); |
| mat = a; |
| mat.postScale(10, 11, 12); |
| REPORTER_ASSERT(reporter, mat == c); |
| } |
| |
| static void make_i(SkMatrix44* mat) { mat->setIdentity(); } |
| static void make_t(SkMatrix44* mat) { mat->setTranslate(1, 2, 3); } |
| static void make_s(SkMatrix44* mat) { mat->setScale(1, 2, 3); } |
| static void make_st(SkMatrix44* mat) { |
| mat->setScale(1, 2, 3); |
| mat->postTranslate(1, 2, 3); |
| } |
| static void make_a(SkMatrix44* mat) { |
| mat->setRotateDegreesAbout(1, 2, 3, 45); |
| } |
| static void make_p(SkMatrix44* mat) { |
| SkMScalar data[] = { |
| 1, 2, 3, 4, 5, 6, 7, 8, |
| 1, 2, 3, 4, 5, 6, 7, 8, |
| }; |
| mat->setRowMajor(data); |
| } |
| |
| typedef void (*Make44Proc)(SkMatrix44*); |
| |
| static const Make44Proc gMakeProcs[] = { |
| make_i, make_t, make_s, make_st, make_a, make_p |
| }; |
| |
| static void test_map2(skiatest::Reporter* reporter, const SkMatrix44& mat) { |
| SkMScalar src2[] = { 1, 2 }; |
| SkMScalar src4[] = { src2[0], src2[1], 0, 1 }; |
| SkMScalar dstA[4], dstB[4]; |
| |
| for (int i = 0; i < 4; ++i) { |
| dstA[i] = 123456789; |
| dstB[i] = 987654321; |
| } |
| |
| mat.map2(src2, 1, dstA); |
| mat.mapMScalars(src4, dstB); |
| |
| for (int i = 0; i < 4; ++i) { |
| REPORTER_ASSERT(reporter, dstA[i] == dstB[i]); |
| } |
| } |
| |
| static void test_map2(skiatest::Reporter* reporter) { |
| SkMatrix44 mat; |
| |
| for (size_t i = 0; i < SK_ARRAY_COUNT(gMakeProcs); ++i) { |
| gMakeProcs[i](&mat); |
| test_map2(reporter, mat); |
| } |
| } |
| |
| static void test_gettype(skiatest::Reporter* reporter) { |
| SkMatrix44 matrix; |
| |
| REPORTER_ASSERT(reporter, matrix.isIdentity()); |
| REPORTER_ASSERT(reporter, SkMatrix44::kIdentity_Mask == matrix.getType()); |
| |
| int expectedMask; |
| |
| matrix.set(1, 1, 0); |
| expectedMask = SkMatrix44::kScale_Mask; |
| REPORTER_ASSERT(reporter, matrix.getType() == expectedMask); |
| |
| matrix.set(0, 3, 1); // translate-x |
| expectedMask |= SkMatrix44::kTranslate_Mask; |
| REPORTER_ASSERT(reporter, matrix.getType() == expectedMask); |
| |
| matrix.set(2, 0, 1); |
| expectedMask |= SkMatrix44::kAffine_Mask; |
| REPORTER_ASSERT(reporter, matrix.getType() == expectedMask); |
| |
| matrix.set(3, 2, 1); |
| REPORTER_ASSERT(reporter, matrix.getType() & SkMatrix44::kPerspective_Mask); |
| |
| // ensure that negative zero is treated as zero |
| SkMScalar dx = 0; |
| SkMScalar dy = 0; |
| SkMScalar dz = 0; |
| matrix.setTranslate(-dx, -dy, -dz); |
| REPORTER_ASSERT(reporter, matrix.isIdentity()); |
| matrix.preTranslate(-dx, -dy, -dz); |
| REPORTER_ASSERT(reporter, matrix.isIdentity()); |
| matrix.postTranslate(-dx, -dy, -dz); |
| REPORTER_ASSERT(reporter, matrix.isIdentity()); |
| } |
| |
| static void test_common_angles(skiatest::Reporter* reporter) { |
| SkMatrix44 rot; |
| // Test precision of rotation in common cases |
| int common_angles[] = { 0, 90, -90, 180, -180, 270, -270, 360, -360 }; |
| for (int i = 0; i < 9; ++i) { |
| rot.setRotateDegreesAbout(0, 0, -1, SkIntToScalar(common_angles[i])); |
| |
| SkMatrix rot3x3 = rot; |
| REPORTER_ASSERT(reporter, rot3x3.rectStaysRect()); |
| } |
| } |
| |
| static void test_concat(skiatest::Reporter* reporter) { |
| int i; |
| SkMatrix44 a, b, c, d; |
| |
| a.setTranslate(10, 10, 10); |
| b.setScale(2, 2, 2); |
| |
| SkScalar src[8] = { |
| 0, 0, 0, 1, |
| 1, 1, 1, 1 |
| }; |
| SkScalar dst[8]; |
| |
| c.setConcat(a, b); |
| |
| d = a; |
| d.preConcat(b); |
| REPORTER_ASSERT(reporter, d == c); |
| |
| c.mapScalars(src, dst); c.mapScalars(src + 4, dst + 4); |
| for (i = 0; i < 3; ++i) { |
| REPORTER_ASSERT(reporter, 10 == dst[i]); |
| REPORTER_ASSERT(reporter, 12 == dst[i + 4]); |
| } |
| |
| c.setConcat(b, a); |
| |
| d = a; |
| d.postConcat(b); |
| REPORTER_ASSERT(reporter, d == c); |
| |
| c.mapScalars(src, dst); c.mapScalars(src + 4, dst + 4); |
| for (i = 0; i < 3; ++i) { |
| REPORTER_ASSERT(reporter, 20 == dst[i]); |
| REPORTER_ASSERT(reporter, 22 == dst[i + 4]); |
| } |
| } |
| |
| static void test_determinant(skiatest::Reporter* reporter) { |
| SkMatrix44 a; |
| REPORTER_ASSERT(reporter, nearly_equal_double(1, a.determinant())); |
| a.set(1, 1, 2); |
| REPORTER_ASSERT(reporter, nearly_equal_double(2, a.determinant())); |
| SkMatrix44 b; |
| REPORTER_ASSERT(reporter, a.invert(&b)); |
| REPORTER_ASSERT(reporter, nearly_equal_double(0.5, b.determinant())); |
| SkMatrix44 c = b = a; |
| c.set(0, 1, 4); |
| b.set(1, 0, 4); |
| REPORTER_ASSERT(reporter, |
| nearly_equal_double(a.determinant(), |
| b.determinant())); |
| SkMatrix44 d = a; |
| d.set(0, 0, 8); |
| REPORTER_ASSERT(reporter, nearly_equal_double(16, d.determinant())); |
| |
| SkMatrix44 e = a; |
| e.postConcat(d); |
| REPORTER_ASSERT(reporter, nearly_equal_double(32, e.determinant())); |
| e.set(0, 0, 0); |
| REPORTER_ASSERT(reporter, nearly_equal_double(0, e.determinant())); |
| } |
| |
| static void test_transpose(skiatest::Reporter* reporter) { |
| SkMatrix44 a; |
| SkMatrix44 b; |
| |
| int i = 0; |
| for (int row = 0; row < 4; ++row) { |
| for (int col = 0; col < 4; ++col) { |
| a.setDouble(row, col, i); |
| b.setDouble(col, row, i++); |
| } |
| } |
| |
| a.transpose(); |
| REPORTER_ASSERT(reporter, nearly_equal(a, b)); |
| } |
| |
| static void test_get_set_double(skiatest::Reporter* reporter) { |
| SkMatrix44 a; |
| for (int row = 0; row < 4; ++row) { |
| for (int col = 0; col < 4; ++col) { |
| a.setDouble(row, col, 3.141592653589793); |
| REPORTER_ASSERT(reporter, |
| nearly_equal_double(3.141592653589793, |
| a.getDouble(row, col))); |
| a.setDouble(row, col, 0); |
| REPORTER_ASSERT(reporter, |
| nearly_equal_double(0, a.getDouble(row, col))); |
| } |
| } |
| } |
| |
| static void test_set_row_col_major(skiatest::Reporter* reporter) { |
| SkMatrix44 a, b, c, d; |
| for (int row = 0; row < 4; ++row) { |
| for (int col = 0; col < 4; ++col) { |
| a.setDouble(row, col, row * 4 + col); |
| } |
| } |
| |
| double bufferd[16]; |
| float bufferf[16]; |
| a.asColMajord(bufferd); |
| b.setColMajord(bufferd); |
| REPORTER_ASSERT(reporter, nearly_equal(a, b)); |
| b.setRowMajord(bufferd); |
| b.transpose(); |
| REPORTER_ASSERT(reporter, nearly_equal(a, b)); |
| a.asColMajorf(bufferf); |
| b.setColMajorf(bufferf); |
| REPORTER_ASSERT(reporter, nearly_equal(a, b)); |
| b.setRowMajorf(bufferf); |
| b.transpose(); |
| REPORTER_ASSERT(reporter, nearly_equal(a, b)); |
| } |
| |
| static void TestMatrix44(skiatest::Reporter* reporter) { |
| SkMatrix44 mat, inverse, iden1, iden2, rot; |
| |
| mat.reset(); |
| mat.setTranslate(1, 1, 1); |
| mat.invert(&inverse); |
| iden1.setConcat(mat, inverse); |
| REPORTER_ASSERT(reporter, is_identity(iden1)); |
| |
| mat.setScale(2, 2, 2); |
| mat.invert(&inverse); |
| iden1.setConcat(mat, inverse); |
| REPORTER_ASSERT(reporter, is_identity(iden1)); |
| |
| mat.setScale(SK_MScalar1/2, SK_MScalar1/2, SK_MScalar1/2); |
| mat.invert(&inverse); |
| iden1.setConcat(mat, inverse); |
| REPORTER_ASSERT(reporter, is_identity(iden1)); |
| |
| mat.setScale(3, 3, 3); |
| rot.setRotateDegreesAbout(0, 0, -1, 90); |
| mat.postConcat(rot); |
| REPORTER_ASSERT(reporter, mat.invert(NULL)); |
| mat.invert(&inverse); |
| iden1.setConcat(mat, inverse); |
| REPORTER_ASSERT(reporter, is_identity(iden1)); |
| iden2.setConcat(inverse, mat); |
| REPORTER_ASSERT(reporter, is_identity(iden2)); |
| |
| // test tiny-valued matrix inverse |
| mat.reset(); |
| mat.setScale(1.0e-12, 1.0e-12, 1.0e-12); |
| rot.setRotateDegreesAbout(0, 0, -1, 90); |
| mat.postConcat(rot); |
| mat.postTranslate(1.0e-12, 1.0e-12, 1.0e-12); |
| REPORTER_ASSERT(reporter, mat.invert(NULL)); |
| mat.invert(&inverse); |
| iden1.setConcat(mat, inverse); |
| REPORTER_ASSERT(reporter, is_identity(iden1)); |
| |
| // test mixed-valued matrix inverse |
| mat.reset(); |
| mat.setScale(1.0e-10, 3.0, 1.0e+10); |
| rot.setRotateDegreesAbout(0, 0, -1, 90); |
| mat.postConcat(rot); |
| mat.postTranslate(1.0e+10, 3.0, 1.0e-10); |
| REPORTER_ASSERT(reporter, mat.invert(NULL)); |
| mat.invert(&inverse); |
| iden1.setConcat(mat, inverse); |
| REPORTER_ASSERT(reporter, is_identity(iden1)); |
| |
| // test degenerate matrix |
| mat.reset(); |
| mat.set3x3(1.0, 1.0, 0.0, 1.0, 0.0, 0.0, 0.0, 1.0, 0.0); |
| REPORTER_ASSERT(reporter, !mat.invert(NULL)); |
| |
| // test rol/col Major getters |
| { |
| mat.setTranslate(2, 3, 4); |
| float dataf[16]; |
| double datad[16]; |
| |
| mat.asColMajorf(dataf); |
| assert16<float>(reporter, dataf, |
| 1, 0, 0, 0, |
| 0, 1, 0, 0, |
| 0, 0, 1, 0, |
| 2, 3, 4, 1); |
| mat.asColMajord(datad); |
| assert16<double>(reporter, datad, 1, 0, 0, 0, |
| 0, 1, 0, 0, |
| 0, 0, 1, 0, |
| 2, 3, 4, 1); |
| mat.asRowMajorf(dataf); |
| assert16<float>(reporter, dataf, 1, 0, 0, 2, |
| 0, 1, 0, 3, |
| 0, 0, 1, 4, |
| 0, 0, 0, 1); |
| mat.asRowMajord(datad); |
| assert16<double>(reporter, datad, 1, 0, 0, 2, |
| 0, 1, 0, 3, |
| 0, 0, 1, 4, |
| 0, 0, 0, 1); |
| } |
| |
| test_concat(reporter); |
| |
| if (false) { // avoid bit rot, suppress warning (working on making this pass) |
| test_common_angles(reporter); |
| } |
| |
| test_constructor(reporter); |
| test_gettype(reporter); |
| test_determinant(reporter); |
| test_transpose(reporter); |
| test_get_set_double(reporter); |
| test_set_row_col_major(reporter); |
| test_translate(reporter); |
| test_scale(reporter); |
| test_map2(reporter); |
| } |
| |
| #include "TestClassDef.h" |
| DEFINE_TESTCLASS("Matrix44", Matrix44TestClass, TestMatrix44) |