static matrix3x2 get_scale (T s) {
return matrix3x2(s ,0,0,s ,0 ,0 );
}
/**
****************************************************************************************************
\fn void UnitTest( void )
\brief The unit test of Matrix class
\param NONE
\return NONE
****************************************************************************************************
*/
void GameEngine::Math::Matrix::UnitTest( void )
{
FUNCTION_START;
Matrix matrix2x2( 2, 2 );
// Check creation
for( UINT8 i = 0; i < 2; ++i )
{
for( UINT8 j = 0; j < 2; ++j )
assert( matrix2x2(i, j) == 0 );
}
// Check matrix identity
matrix2x2(0, 0) = 1;
matrix2x2(0, 1) = 2;
matrix2x2(1, 0) = 3;
matrix2x2(1, 1) = 4;
Matrix identityMatrix( 2, 2 );
identityMatrix(0, 0) = 1;
identityMatrix(1, 1) = 1;
Matrix m( 2, 2 );
m = matrix2x2.Identity();
assert( matrix2x2.Identity() == identityMatrix );
// Check matrix transpose
Matrix matrix2x3( 2, 3 );
matrix2x3( 0, 0 ) = 1;
matrix2x3( 0, 1 ) = 2;
matrix2x3( 0, 2 ) = 3;
matrix2x3( 1, 0 ) = 4;
matrix2x3( 1, 1 ) = 5;
matrix2x3( 1, 2 ) = 6;
matrix2x3.Transpose();
Matrix matrix3x2( 3, 2 );
matrix3x2( 0, 0 ) = 1;
matrix3x2( 0, 1 ) = 4;
matrix3x2( 1, 0 ) = 2;
matrix3x2( 1, 1 ) = 5;
matrix3x2( 2, 0 ) = 3;
matrix3x2( 2, 1 ) = 6;
assert( matrix2x3 == matrix3x2 );
// Check matrix 3x3 inverse
Matrix matrix3x3( 3, 3 );
matrix3x3( 0, 0 ) = 2;
matrix3x3( 0, 1 ) = -1;
matrix3x3( 0, 2 ) = 3;
matrix3x3( 1, 0 ) = 1;
matrix3x3( 1, 1 ) = 6;
matrix3x3( 1, 2 ) = -4;
matrix3x3( 2, 0 ) = 5;
matrix3x3( 2, 1 ) = 0;
matrix3x3( 2, 2 ) = 8;
Matrix matrix3x3Inverse( 3, 3 );
Matrix3Inverse( matrix3x3, matrix3x3Inverse );
assert( (matrix3x3 * matrix3x3Inverse) == matrix3x3.Identity() );
// Check matrix 4x4 inverse
Matrix matrix4x4( 4, 4 );
matrix4x4( 0, 0 ) = 2;
matrix4x4( 0, 1 ) = 3;
matrix4x4( 0, 2 ) = 4;
matrix4x4( 0, 3 ) = 5;
matrix4x4( 1, 0 ) = 5;
matrix4x4( 1, 1 ) = 7;
matrix4x4( 1, 2 ) = 9;
matrix4x4( 1, 3 ) = 9;
matrix4x4( 2, 0 ) = 5;
matrix4x4( 2, 1 ) = 8;
matrix4x4( 2, 2 ) = 7;
matrix4x4( 2, 3 ) = 4;
matrix4x4( 3, 0 ) = 4;
matrix4x4( 3, 1 ) = 3;
matrix4x4( 3, 2 ) = 3;
matrix4x4( 3, 3 ) = 2;
Matrix matrix4x4Inverse( 4, 4 );
Matrix4Inverse( matrix4x4, matrix4x4Inverse );
Matrix matrix4x4Result( 4, 4 );
matrix4x4Result = matrix4x4 * matrix4x4Inverse;
assert( (matrix4x4 * matrix4x4Inverse) == matrix4x4.Identity() );
FUNCTION_FINISH;
}
static matrix3x2 get_scale (T x, T y) {
return matrix3x2(x, 0,0,y, 0 ,0 );
}
static matrix3x2 get_scale (const point2<T>& s) {
return matrix3x2(s.x,0,0,s.y,0 ,0 );
}
static matrix3x2 get_translate(T x, T y) {
return matrix3x2(1 ,0,0,1 ,x, y );
}
static matrix3x2 get_translate(const point2<T>& t) {
return matrix3x2(1 ,0,0,1 ,t.x,t.y);
}
static matrix3x2 get_rotate(T rads) {
T c=std::cos(rads);
T s=std::sin(rads);
return matrix3x2(c,s,-s,c,0,0);
}
