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/*
* 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 SkScalarAbs(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 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);
}
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 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_gettype(reporter);
test_determinant(reporter);
test_transpose(reporter);
test_get_set_double(reporter);
test_set_row_col_major(reporter);
}
#include "TestClassDef.h"
DEFINE_TESTCLASS("Matrix44", Matrix44TestClass, TestMatrix44)
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