EAPI void
eina_matrix3_inverse(const Eina_Matrix3 *m, Eina_Matrix3 *m2)
{
double scalar;
/* determinant */
scalar = eina_matrix3_determinant(m);
if (!scalar)
{
eina_matrix3_identity(m2);
return;
}
/* do its adjoint */
eina_matrix3_adjoint(m, m2);
/* divide */
eina_matrix3_divide(m2, scalar);
}
EAPI Eina_Bool
eina_matrix3_quad_square_map(Eina_Matrix3 *m,
const Eina_Quad *q)
{
Eina_Matrix3 tmp;
/* compute square to quad */
if (!eina_matrix3_square_quad_map(&tmp, q))
return EINA_FALSE;
eina_matrix3_inverse(&tmp, m);
/* make the projective matrix3 always have 1 on zz */
if (MATRIX_ZZ(m) != 1)
{
eina_matrix3_divide(m, MATRIX_ZZ(m));
}
return EINA_TRUE;
}
END_TEST
#define MATRIX3_CMP(XX, XY, XZ, YX, YY, YZ, ZX, ZY, ZZ, AXX, AXY, AXZ, AYX, AYY, AYZ, AZX, AZY, AZZ) \
(EINA_DBL_EQ(XX, AXX) && \
EINA_DBL_EQ(XY, AXY) && \
EINA_DBL_EQ(XZ, AXZ) && \
EINA_DBL_EQ(YX, AYX) && \
EINA_DBL_EQ(YY, AYY) && \
EINA_DBL_EQ(YZ, AYZ) && \
EINA_DBL_EQ(ZX, AZX) && \
EINA_DBL_EQ(ZY, AZY) && \
EINA_DBL_EQ(ZZ, AZZ))
START_TEST(eina_matrix3_operations)
{
Eina_Matrix3 m1, m2, m3;
double xx, xy, xz,
yx, yy, yz,
zx, zy, zz;
double tx = 20, ty = 30, ret;
const double arr[] = {1, 1, 1, 1, 1, 1, 1, 1, 1};
eina_matrix3_values_set(&m1,
1, 0, 0,
0, 1, 0,
0, 0, 1);
eina_matrix3_values_set(&m2,
1, 1, 1,
1, 1, 1,
1, 1, 1);
eina_matrix3_compose(&m1, &m2, &m3);
eina_matrix3_values_get(&m3,
&xx, &xy, &xz,
&yx, &yy, &yz,
&zx, &zy, &zz);
fail_if (!EINA_DBL_EQ(xx, xy) ||
!EINA_DBL_EQ(xy, xz) ||
!EINA_DBL_EQ(yx, yy) ||
!EINA_DBL_EQ(yy, yz) ||
!EINA_DBL_EQ(zx, zy) ||
!EINA_DBL_EQ(zy, zz) ||
!EINA_DBL_EQ(zz, 1));
eina_matrix3_translate(&m1, tx, ty);
eina_matrix3_values_get(&m1,
&xx, &xy, &xz,
&yx, &yy, &yz,
&zx, &zy, &zz);
fail_if(!MATRIX3_CMP(xx, xy, xz,
yx, yy, yz,
zx, zy, zz,
1, 0, tx,
0, 1, ty,
0, 0, 1));
eina_matrix3_values_set(&m1,
1, 0, 0,
0, 1, 0,
0, 0, 1);
eina_matrix3_scale(&m1, tx, ty);
eina_matrix3_values_get(&m1,
&xx, &xy, &xz,
&yx, &yy, &yz,
&zx, &zy, &zz);
fail_if(!MATRIX3_CMP(xx, xy, xz,
yx, yy, yz,
zx, zy, zz,
tx, 0, 0,
0, ty, 0,
0, 0, 1));
eina_matrix3_values_set(&m1,
1, 0, 0,
0, 1, 0,
0, 0, 1);
eina_matrix3_rotate(&m1, M_PI/2);
fail_if (!MATRIX3_CMP(round(m1.xx), round(m1.xy), round(m1.xz),
round(m1.yx), round(m1.yy), round(m1.yz),
round(m1.zx), round(m1.zy), round(m1.zz),
0, -1, 0,
1, 0, 0,
0, 0, 1));
eina_matrix3_values_set(&m1,
1, 1, 1,
1, 1, 1,
1, 1, 1);
eina_matrix3_identity(&m1);
eina_matrix3_values_get(&m1,
&xx, &xy, &xz,
&yx, &yy, &yz,
&zx, &zy, &zz);
fail_if(!EINA_DBL_EQ(xx, yy) ||
!EINA_DBL_EQ(yy, zz) ||
!EINA_DBL_EQ(zz, 1));
fail_if(!EINA_DBL_EQ(xy, xz) ||
!EINA_DBL_EQ(yx, yz) ||
!EINA_DBL_EQ(zx, zy) ||
!EINA_DBL_EQ(zy, 0));
eina_matrix3_values_set(&m1,
1, 2, 1,
2, 1, 1,
1, 2, 2);
ret = eina_matrix3_determinant(&m1);
fail_if(!EINA_DBL_EQ(ret, -3));
eina_matrix3_values_set(&m1,
3, 3, 3,
3, 3, 3,
3, 3, 3);
eina_matrix3_divide(&m1, 2);
eina_matrix3_values_get(&m1,
&xx, &xy, &xz,
&yx, &yy, &yz,
&zx, &zy, &zz);
fail_if (!EINA_DBL_EQ(xx, xy) ||
!EINA_DBL_EQ(xy, xz) ||
!EINA_DBL_EQ(yx, yy) ||
!EINA_DBL_EQ(yy, yz) ||
!EINA_DBL_EQ(zx, zy) ||
!EINA_DBL_EQ(zy, zz) ||
!EINA_DBL_EQ(zz, 1.5));
eina_matrix3_values_set(&m1,
0, 2, 0,
2, 2, 0,
2, 1, 2);
eina_matrix3_inverse(&m1, &m2);
eina_matrix3_values_get(&m2,
&xx, &xy, &xz,
&yx, &yy, &yz,
&zx, &zy, &zz);
fail_if(!MATRIX3_CMP(xx, xy, xz,
yx, yy, yz,
zx, zy, zz,
-0.5, 0.5, 0.0,
0.5, 0.0, 0.0,
0.25, -0.5, 0.5));
eina_matrix3_values_set(&m1,
1, 2, 3,
4, 5, 6,
7, 8, 9);
eina_matrix3_transpose(&m1, &m2);
eina_matrix3_values_get(&m2,
&xx, &xy, &xz,
&yx, &yy, &yz,
&zx, &zy, &zz);
fail_if(!MATRIX3_CMP(xx, xy, xz,
yx, yy, yz,
zx, zy, zz,
1, 4, 7,
2, 5, 8,
3, 6, 9));
eina_matrix3_values_set(&m1,
1, 2, 3,
0, 4, 5,
1, 0, 6);
eina_matrix3_cofactor(&m1, &m2);
eina_matrix3_values_get(&m2,
&xx, &xy, &xz,
&yx, &yy, &yz,
&zx, &zy, &zz);
fail_if(!MATRIX3_CMP(xx, xy, xz,
yx, yy, yz,
zx, zy, zz,
24, 5, -4,
-12, 3, 2,
-2, -5, 4));
eina_matrix3_adjoint(&m1, &m2);
eina_matrix3_values_get(&m2,
&xx, &xy, &xz,
&yx, &yy, &yz,
&zx, &zy, &zz);
fail_if(!MATRIX3_CMP(xx, xy, xz,
yx, yy, yz,
zx, zy, zz,
24, -12, -2,
5, 3, -5,
-4, 2, 4));
eina_matrix3_values_set(&m2,
2, 2, 2,
1, 1, 1,
3, 3, 3);
eina_matrix3_values_set(&m3,
3, 3, 3,
2, 2, 2,
1, 1, 1);
eina_matrix3_multiply_copy(&m1, &m2, &m3);
eina_matrix3_values_get(&m1,
&xx, &xy, &xz,
&yx, &yy, &yz,
&zx, &zy, &zz);
fail_if(!MATRIX3_CMP(xx, xy, xz,
yx, yy, yz,
zx, zy, zz,
12, 12, 12,
6, 6, 6,
18, 18, 18));
eina_matrix3_values_set(&m2,
2, 2, 2,
1, 1, 1,
0, 0, 0);
eina_matrix3_multiply(&m1, &m2, &m3);
eina_matrix3_values_get(&m1,
&xx, &xy, &xz,
&yx, &yy, &yz,
&zx, &zy, &zz);
fail_if(!MATRIX3_CMP(xx, xy, xz,
yx, yy, yz,
zx, zy, zz,
12, 12, 12,
6, 6, 6,
0, 0, 0));
eina_matrix3_copy(&m1, &m2);
eina_matrix3_values_get(&m1,
&xx, &xy, &xz,
&yx, &yy, &yz,
&zx, &zy, &zz);
fail_if(!MATRIX3_CMP(xx, xy, xz,
yx, yy, yz,
zx, zy, zz,
2, 2, 2,
1, 1, 1,
0, 0, 0));
eina_matrix3_array_set(&m1, arr);
eina_matrix3_values_get(&m1,
&xx, &xy, &xz,
&yx, &yy, &yz,
&zx, &zy, &zz);
fail_if(!MATRIX3_CMP(xx, xy, xz,
yx, yy, yz,
zx, zy, zz,
1, 1, 1,
1, 1, 1,
1, 1, 1));
eina_matrix3_position_transform_set(&m3, 5, 3);
eina_matrix3_values_get(&m3,
&xx, &xy, &xz,
&yx, &yy, &yz,
&zx, &zy, &zz);
fail_if (!EINA_DBL_EQ(xz, 5) ||
!EINA_DBL_EQ(yz, 3));
eina_matrix3_scale_transform_set(&m2, 6, 7);
eina_matrix3_values_get(&m2,
&xx, &xy, &xz,
&yx, &yy, &yz,
&zx, &zy, &zz);
fail_if (!EINA_DBL_EQ(xx, 6) ||
!EINA_DBL_EQ(yy, 7));
}
END_TEST
START_TEST(eina_matrix3_operations)
{
Eina_Matrix3 m1, m2, m3;
double xx, xy, xz,
yx, yy, yz,
zx, zy, zz;
double tx = 20, ty = 30, ret;
eina_matrix3_values_set(&m1,
1, 0, 0,
0, 1, 0,
0, 0, 1);
eina_matrix3_values_set(&m2,
1, 1, 1,
1, 1, 1,
1, 1, 1);
eina_matrix3_compose(&m1, &m2, &m3);
eina_matrix3_values_get(&m3,
&xx, &xy, &xz,
&yx, &yy, &yz,
&zx, &zy, &zz);
fail_if (xx != xy ||
xy != xz ||
yx != yy ||
yy != yz ||
zx != zy ||
zy != zz ||
zz != 1);
eina_matrix3_translate(&m1, tx, ty);
eina_matrix3_values_get(&m1,
&xx, &xy, &xz,
&yx, &yy, &yz,
&zx, &zy, &zz);
fail_if (xx != 1 || xy != 0 || xz != tx ||
yx != 0 || yy != 1 || yz != ty ||
zx != 0 || zy != 0 || zz != 1);
eina_matrix3_values_set(&m1,
1, 0, 0,
0, 1, 0,
0, 0, 1);
eina_matrix3_scale(&m1, tx, ty);
eina_matrix3_values_get(&m1,
&xx, &xy, &xz,
&yx, &yy, &yz,
&zx, &zy, &zz);
fail_if (xx != tx || xy != 0 || xz != 0 ||
yx != 0 || yy != ty || yz != 0 ||
zx != 0 || zy != 0 || zz != 1);
eina_matrix3_values_set(&m1,
1, 0, 0,
0, 1, 0,
0, 0, 1);
eina_matrix3_rotate(&m1, M_PI/2);
fail_if (round(m1.xx) != 0 || round(m1.xy) != -1 ||
round(m1.xz) != 0 || round(m1.yx) != 1 ||
round(m1.yy) != 0 || round(m1.yz) !=0 ||
round(m1.zx) != 0 || round(m1.zy) != 0||
round(m1.zz) != 1);
eina_matrix3_values_set(&m1,
1, 1, 1,
1, 1, 1,
1, 1, 1);
eina_matrix3_identity(&m1);
eina_matrix3_values_get(&m1,
&xx, &xy, &xz,
&yx, &yy, &yz,
&zx, &zy, &zz);
fail_if(xx != yy ||
yy != zz ||
zz != 1);
fail_if(xy != xz ||
yx != yz ||
zx != zy ||
zy != 0);
eina_matrix3_values_set(&m1,
1, 2, 1,
2, 1, 1,
1, 2, 2);
ret = eina_matrix3_determinant(&m1);
fail_if(ret != -3);
eina_matrix3_values_set(&m1,
3, 3, 3,
3, 3, 3,
3, 3, 3);
eina_matrix3_divide(&m1, 2);
eina_matrix3_values_get(&m1,
&xx, &xy, &xz,
&yx, &yy, &yz,
&zx, &zy, &zz);
fail_if (xx != xy ||
xy != xz ||
yx != yy ||
yy != yz ||
zx != zy ||
zy != zz ||
zz != 1.5);
eina_matrix3_values_set(&m1,
0, 2, 0,
2, 2, 0,
2, 1, 2);
eina_matrix3_inverse(&m1, &m2);
eina_matrix3_values_get(&m2,
&xx, &xy, &xz,
&yx, &yy, &yz,
&zx, &zy, &zz);
fail_if (xx != -0.5 || xy != 0.5 || xz != 0 ||
yx != 0.5 || yy != 0 || yz != 0 ||
zx != 0.25 || zy != -0.5 || zz != 0.5);
eina_matrix3_values_set(&m1,
1, 2, 3,
4, 5, 6,
7, 8, 9);
eina_matrix3_transpose(&m1, &m2);
eina_matrix3_values_get(&m2,
&xx, &xy, &xz,
&yx, &yy, &yz,
&zx, &zy, &zz);
fail_if (xx != 1 || xy != 4 || xz != 7 ||
yx != 2 || yy != 5 || yz != 8 ||
zx != 3 || zy != 6 || zz != 9);
eina_matrix3_values_set(&m1,
1, 2, 3,
0, 4, 5,
1, 0, 6);
eina_matrix3_cofactor(&m1, &m2);
eina_matrix3_values_get(&m2,
&xx, &xy, &xz,
&yx, &yy, &yz,
&zx, &zy, &zz);
fail_if (xx != 24 || xy != 5 || xz != -4 ||
yx != -12 || yy != 3 || yz != 2 ||
zx != -2 || zy != -5 || zz != 4);
eina_matrix3_adjoint(&m1, &m2);
eina_matrix3_values_get(&m2,
&xx, &xy, &xz,
&yx, &yy, &yz,
&zx, &zy, &zz);
fail_if (xx != 24 || xy != -12 || xz != -2 ||
yx != 5 || yy != 3 || yz != -5 ||
zx != -4 || zy != 2 || zz != 4);
}