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efl/src/lib/eina/eina_matrix.c

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/* EINA - Drawing Library
* Copyright (C) 2007-2014 Jorge Luis Zapata
*
* This library is free software; you can redistribute it and/or
* modify it under the terms of the GNU Lesser General Public
* License as published by the Free Software Foundation; either
* version 2.1 of the License, or (at your option) any later version.
*
* This library is distributed in the hope that it will be useful,
* but WITHOUT ANY WARRANTY; without even the implied warranty of
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
* Lesser General Public License for more details.
*
* You should have received a copy of the GNU Lesser General Public
* License along with this library.
* If not, see <http://www.gnu.org/licenses/>.
*/
#ifdef HAVE_CONFIG_H
# include "config.h"
#endif
#include "eina_private.h"
#include <math.h>
#include "eina_fp.h"
#include "eina_rectangle.h"
#include "eina_quad.h"
#include "eina_matrix.h"
#define MATRIX_XX(m) (m)->xx
#define MATRIX_XY(m) (m)->xy
#define MATRIX_XZ(m) (m)->xz
#define MATRIX_YX(m) (m)->yx
#define MATRIX_YY(m) (m)->yy
#define MATRIX_YZ(m) (m)->yz
#define MATRIX_ZX(m) (m)->zx
#define MATRIX_ZY(m) (m)->zy
#define MATRIX_ZZ(m) (m)->zz
#define MATRIX_SIZE 9
#define QUAD_X0(q) q->x0
#define QUAD_Y0(q) q->y0
#define QUAD_X1(q) q->x1
#define QUAD_Y1(q) q->y1
#define QUAD_X2(q) q->x2
#define QUAD_Y2(q) q->y2
#define QUAD_X3(q) q->x3
#define QUAD_Y3(q) q->y3
/*============================================================================*
* Local *
*============================================================================*/
/** @cond internal */
/*
* In the range [-pi pi]
* (4/pi)*x - ((4/(pi*pi))*x*abs(x))
* http://www.devmaster.net/forums/showthread.php?t=5784
*/
#define EXTRA_PRECISION
static inline double
_sin(double x)
{
const double B = 4/M_PI;
const double C = -4/(M_PI*M_PI);
double y = (B * x) + (C * x * fabsf(x));
#ifdef EXTRA_PRECISION
// const float Q = 0.775;
const double P = 0.225;
y = P * (y * fabsf(y) - y) + y; // Q * y + P * y * abs(y)
#endif
return y;
}
static inline double
_cos(double x)
{
x += M_PI_2;
if (x > M_PI) // Original x > pi/2
{
x -= 2 * M_PI; // Wrap: cos(x) = cos(x - 2 pi)
}
return _sin(x);
}
/** @endcond */
/*============================================================================*
* API *
*============================================================================*/
EAPI Eina_Matrix_Type
eina_matrix3_type_get(const Eina_Matrix3 *m)
{
if ((MATRIX_ZX(m) != 0) || (MATRIX_ZY(m) != 0) || (MATRIX_ZZ(m) != 1))
return EINA_MATRIX_TYPE_PROJECTIVE;
else
{
if ((MATRIX_XX(m) == 1) && (MATRIX_XY(m) == 0) && (MATRIX_XZ(m) == 0) &&
(MATRIX_YX(m) == 0) && (MATRIX_YY(m) == 1) && (MATRIX_YZ(m) == 0))
return EINA_MATRIX_TYPE_IDENTITY;
else
return EINA_MATRIX_TYPE_AFFINE;
}
}
EAPI Eina_Matrix_Type
eina_matrix3_f16p16_type_get(const Eina_Matrix3_F16p16 *m)
{
if ((MATRIX_ZX(m) != 0) || (MATRIX_ZY(m) != 0) || (MATRIX_ZZ(m) != 65536))
return EINA_MATRIX_TYPE_PROJECTIVE;
else
{
if ((MATRIX_XX(m) == 65536) && (MATRIX_XY(m) == 0) && (MATRIX_XZ(m) == 0) &&
(MATRIX_YX(m) == 0) && (MATRIX_YY(m) == 65536) && (MATRIX_YZ(m) == 0))
return EINA_MATRIX_TYPE_IDENTITY;
else
return EINA_MATRIX_TYPE_AFFINE;
}
}
EAPI void
eina_matrix3_values_set(Eina_Matrix3 *m,
double xx, double xy, double xz,
double yx, double yy, double yz,
double zx, double zy, double zz)
{
MATRIX_XX(m) = xx;
MATRIX_XY(m) = xy;
MATRIX_XZ(m) = xz;
MATRIX_YX(m) = yx;
MATRIX_YY(m) = yy;
MATRIX_YZ(m) = yz;
MATRIX_ZX(m) = zx;
MATRIX_ZY(m) = zy;
MATRIX_ZZ(m) = zz;
}
EAPI void
eina_matrix3_values_get(const Eina_Matrix3 *m,
double *xx, double *xy, double *xz,
double *yx, double *yy, double *yz,
double *zx, double *zy, double *zz)
{
if (xx) *xx = MATRIX_XX(m);
if (xy) *xy = MATRIX_XY(m);
if (xz) *xz = MATRIX_XZ(m);
if (yx) *yx = MATRIX_YX(m);
if (yy) *yy = MATRIX_YY(m);
if (yz) *yz = MATRIX_YZ(m);
if (zx) *zx = MATRIX_ZX(m);
if (zy) *zy = MATRIX_ZY(m);
if (zz) *zz = MATRIX_ZZ(m);
}
EAPI void
eina_matrix3_fixed_values_get(const Eina_Matrix3 *m,
Eina_F16p16 *xx, Eina_F16p16 *xy, Eina_F16p16 *xz,
Eina_F16p16 *yx, Eina_F16p16 *yy, Eina_F16p16 *yz,
Eina_F16p16 *zx, Eina_F16p16 *zy, Eina_F16p16 *zz)
{
if (xx) *xx = eina_f16p16_double_from(MATRIX_XX(m));
if (xy) *xy = eina_f16p16_double_from(MATRIX_XY(m));
if (xz) *xz = eina_f16p16_double_from(MATRIX_XZ(m));
if (yx) *yx = eina_f16p16_double_from(MATRIX_YX(m));
if (yy) *yy = eina_f16p16_double_from(MATRIX_YY(m));
if (yz) *yz = eina_f16p16_double_from(MATRIX_YZ(m));
if (zx) *zx = eina_f16p16_double_from(MATRIX_ZX(m));
if (zy) *zy = eina_f16p16_double_from(MATRIX_ZY(m));
if (zz) *zz = eina_f16p16_double_from(MATRIX_ZZ(m));
}
EAPI void
eina_matrix3_matrix3_f16p16_to(const Eina_Matrix3 *m,
Eina_Matrix3_F16p16 *fm)
{
eina_matrix3_fixed_values_get(m,
&fm->xx, &fm->xy, &fm->xz,
&fm->yx, &fm->yy, &fm->yz,
&fm->zx, &fm->zy, &fm->zz);
}
EAPI void
eina_matrix3_point_transform(const Eina_Matrix3 *m,
double x, double y,
double *xr, double *yr)
{
double xrr, yrr;
if (!MATRIX_ZX(m) && !MATRIX_ZY(m))
{
xrr = (x * MATRIX_XX(m) + y * MATRIX_XY(m) + MATRIX_XZ(m));
yrr = (x * MATRIX_YX(m) + y * MATRIX_YY(m) + MATRIX_YZ(m));
}
else
{
xrr = (x * MATRIX_XX(m) + y * MATRIX_XY(m) + MATRIX_XZ(m)) /
(x * MATRIX_ZX(m) + y * MATRIX_ZY(m) + MATRIX_ZZ(m));
yrr = (x * MATRIX_YX(m) + y * MATRIX_YY(m) + MATRIX_YZ(m)) /
(x * MATRIX_ZX(m) + y * MATRIX_ZY(m) + MATRIX_ZZ(m));
}
if (xr) *xr = xrr;
if (yr) *yr = yrr;
}
EAPI void
eina_matrix3_rectangle_transform(const Eina_Matrix3 *m,
const Eina_Rectangle *r,
const Eina_Quad *q)
{
eina_matrix3_point_transform(m, r->x, r->y, &((Eina_Quad *)q)->x0, &((Eina_Quad *)q)->y0);
eina_matrix3_point_transform(m, r->x + r->w, r->y, &((Eina_Quad *)q)->x1, &((Eina_Quad *)q)->y1);
eina_matrix3_point_transform(m, r->x + r->w, r->y + r->h, &((Eina_Quad *)q)->x2, &((Eina_Quad *)q)->y2);
eina_matrix3_point_transform(m, r->x, r->y + r->h, &((Eina_Quad *)q)->x3, &((Eina_Quad *)q)->y3);
}
EAPI void
eina_matrix3_cofactor(const Eina_Matrix3 *m, Eina_Matrix3 *a)
{
double a11, a12, a13, a21, a22, a23, a31, a32, a33;
a11 = (MATRIX_YY(m) * MATRIX_ZZ(m)) - (MATRIX_YZ(m) * MATRIX_ZY(m));
a12 = -1 * ((MATRIX_YX(m) * MATRIX_ZZ(m)) - (MATRIX_YZ(m) * MATRIX_ZX(m)));
a13 = (MATRIX_YX(m) * MATRIX_ZY(m)) - (MATRIX_YY(m) * MATRIX_ZX(m));
a21 = -1 * ((MATRIX_XY(m) * MATRIX_ZZ(m)) - (MATRIX_XZ(m) * MATRIX_ZY(m)));
a22 = (MATRIX_XX(m) * MATRIX_ZZ(m)) - (MATRIX_XZ(m) * MATRIX_ZX(m));
a23 = -1 * ((MATRIX_XX(m) * MATRIX_ZY(m)) - (MATRIX_XY(m) * MATRIX_ZX(m)));
a31 = (MATRIX_XY(m) * MATRIX_YZ(m)) - (MATRIX_XZ(m) * MATRIX_YY(m));
a32 = -1 * ((MATRIX_XX(m) * MATRIX_YZ(m)) - (MATRIX_XZ(m) * MATRIX_YX(m)));
a33 = (MATRIX_XX(m) * MATRIX_YY(m)) - (MATRIX_XY(m) * MATRIX_YX(m));
MATRIX_XX(a) = a11;
MATRIX_XY(a) = a12;
MATRIX_XZ(a) = a13;
MATRIX_YX(a) = a21;
MATRIX_YY(a) = a22;
MATRIX_YZ(a) = a23;
MATRIX_ZX(a) = a31;
MATRIX_ZY(a) = a32;
MATRIX_ZZ(a) = a33;
}
EAPI void
eina_matrix3_transpose(const Eina_Matrix3 *m, Eina_Matrix3 *a)
{
MATRIX_XX(a) = MATRIX_XX(m);
MATRIX_XY(a) = MATRIX_YX(m);
MATRIX_XZ(a) = MATRIX_ZX(m);
MATRIX_YX(a) = MATRIX_XY(m);
MATRIX_YY(a) = MATRIX_YY(m);
MATRIX_YZ(a) = MATRIX_ZY(m);
MATRIX_ZX(a) = MATRIX_XZ(m);
MATRIX_ZY(a) = MATRIX_YZ(m);
MATRIX_ZZ(a) = MATRIX_ZZ(m);
}
EAPI void
eina_matrix3_adjoint(const Eina_Matrix3 *m, Eina_Matrix3 *a)
{
Eina_Matrix3 cofactor;
/* cofactor */
eina_matrix3_cofactor(m, &cofactor);
/* transpose */
eina_matrix3_transpose(&cofactor, a);
}
EAPI double
eina_matrix3_determinant(const Eina_Matrix3 *m)
{
double det;
det = MATRIX_XX(m) * ((MATRIX_YY(m) * MATRIX_ZZ(m)) - (MATRIX_YZ(m) * MATRIX_ZY(m)));
det -= MATRIX_XY(m) * ((MATRIX_YX(m) * MATRIX_ZZ(m)) - (MATRIX_YZ(m) * MATRIX_ZX(m)));
det += MATRIX_XZ(m) * ((MATRIX_YX(m) * MATRIX_ZY(m)) - (MATRIX_YY(m) * MATRIX_ZX(m)));
return det;
}
EAPI void
eina_matrix3_divide(Eina_Matrix3 *m, double scalar)
{
MATRIX_XX(m) /= scalar;
MATRIX_XY(m) /= scalar;
MATRIX_XZ(m) /= scalar;
MATRIX_YX(m) /= scalar;
MATRIX_YY(m) /= scalar;
MATRIX_YZ(m) /= scalar;
MATRIX_ZX(m) /= scalar;
MATRIX_ZY(m) /= scalar;
MATRIX_ZZ(m) /= scalar;
}
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 void
eina_matrix3_compose(const Eina_Matrix3 *m1,
const Eina_Matrix3 *m2,
Eina_Matrix3 *dst)
{
double a11, a12, a13, a21, a22, a23, a31, a32, a33;
a11 = (MATRIX_XX(m1) * MATRIX_XX(m2)) + (MATRIX_XY(m1) * MATRIX_YX(m2)) + (MATRIX_XZ(m1) * MATRIX_ZX(m2));
a12 = (MATRIX_XX(m1) * MATRIX_XY(m2)) + (MATRIX_XY(m1) * MATRIX_YY(m2)) + (MATRIX_XZ(m1) * MATRIX_ZY(m2));
a13 = (MATRIX_XX(m1) * MATRIX_XZ(m2)) + (MATRIX_XY(m1) * MATRIX_YZ(m2)) + (MATRIX_XZ(m1) * MATRIX_ZZ(m2));
a21 = (MATRIX_YX(m1) * MATRIX_XX(m2)) + (MATRIX_YY(m1) * MATRIX_YX(m2)) + (MATRIX_YZ(m1) * MATRIX_ZX(m2));
a22 = (MATRIX_YX(m1) * MATRIX_XY(m2)) + (MATRIX_YY(m1) * MATRIX_YY(m2)) + (MATRIX_YZ(m1) * MATRIX_ZY(m2));
a23 = (MATRIX_YX(m1) * MATRIX_XZ(m2)) + (MATRIX_YY(m1) * MATRIX_YZ(m2)) + (MATRIX_YZ(m1) * MATRIX_ZZ(m2));
a31 = (MATRIX_ZX(m1) * MATRIX_XX(m2)) + (MATRIX_ZY(m1) * MATRIX_YX(m2)) + (MATRIX_ZZ(m1) * MATRIX_ZX(m2));
a32 = (MATRIX_ZX(m1) * MATRIX_XY(m2)) + (MATRIX_ZY(m1) * MATRIX_YY(m2)) + (MATRIX_ZZ(m1) * MATRIX_ZY(m2));
a33 = (MATRIX_ZX(m1) * MATRIX_XZ(m2)) + (MATRIX_ZY(m1) * MATRIX_YZ(m2)) + (MATRIX_ZZ(m1) * MATRIX_ZZ(m2));
MATRIX_XX(dst) = a11;
MATRIX_XY(dst) = a12;
MATRIX_XZ(dst) = a13;
MATRIX_YX(dst) = a21;
MATRIX_YY(dst) = a22;
MATRIX_YZ(dst) = a23;
MATRIX_ZX(dst) = a31;
MATRIX_ZY(dst) = a32;
MATRIX_ZZ(dst) = a33;
}
EAPI Eina_Bool
eina_matrix3_equal(const Eina_Matrix3 *m1, const Eina_Matrix3 *m2)
{
if (m1->xx != m2->xx ||
m1->xy != m2->xy ||
m1->xz != m2->xz ||
m1->yx != m2->yx ||
m1->yy != m2->yy ||
m1->yz != m2->yz ||
m1->zx != m2->zx ||
m1->zy != m2->zy ||
m1->zz != m2->zz)
return EINA_FALSE;
return EINA_TRUE;
}
EAPI void
eina_matrix3_f16p16_compose(const Eina_Matrix3_F16p16 *m1,
const Eina_Matrix3_F16p16 *m2,
Eina_Matrix3_F16p16 *dst)
{
Eina_F16p16 a11, a12, a13, a21, a22, a23, a31, a32, a33;
a11 = eina_f16p16_mul(MATRIX_XX(m1), MATRIX_XX(m2)) +
eina_f16p16_mul(MATRIX_XY(m1), MATRIX_YX(m2)) +
eina_f16p16_mul(MATRIX_XZ(m1), MATRIX_ZX(m2));
a12 = eina_f16p16_mul(MATRIX_XX(m1), MATRIX_XY(m2)) +
eina_f16p16_mul(MATRIX_XY(m1), MATRIX_YY(m2)) +
eina_f16p16_mul(MATRIX_XZ(m1), MATRIX_ZY(m2));
a13 = eina_f16p16_mul(MATRIX_XX(m1), MATRIX_XZ(m2)) +
eina_f16p16_mul(MATRIX_XY(m1), MATRIX_YZ(m2)) +
eina_f16p16_mul(MATRIX_XZ(m1), MATRIX_ZZ(m2));
a21 = eina_f16p16_mul(MATRIX_YX(m1), MATRIX_XX(m2)) +
eina_f16p16_mul(MATRIX_YY(m1), MATRIX_YX(m2)) +
eina_f16p16_mul(MATRIX_YZ(m1), MATRIX_ZX(m2));
a22 = eina_f16p16_mul(MATRIX_YX(m1), MATRIX_XY(m2)) +
eina_f16p16_mul(MATRIX_YY(m1), MATRIX_YY(m2)) +
eina_f16p16_mul(MATRIX_YZ(m1), MATRIX_ZY(m2));
a23 = eina_f16p16_mul(MATRIX_YX(m1), MATRIX_XZ(m2)) +
eina_f16p16_mul(MATRIX_YY(m1), MATRIX_YZ(m2)) +
eina_f16p16_mul(MATRIX_YZ(m1), MATRIX_ZZ(m2));
a31 = eina_f16p16_mul(MATRIX_ZX(m1), MATRIX_XX(m2)) +
eina_f16p16_mul(MATRIX_ZY(m1), MATRIX_YX(m2)) +
eina_f16p16_mul(MATRIX_ZZ(m1), MATRIX_ZX(m2));
a32 = eina_f16p16_mul(MATRIX_ZX(m1), MATRIX_XY(m2)) +
eina_f16p16_mul(MATRIX_ZY(m1), MATRIX_YY(m2)) +
eina_f16p16_mul(MATRIX_ZZ(m1), MATRIX_ZY(m2));
a33 = eina_f16p16_mul(MATRIX_ZX(m1), MATRIX_XZ(m2)) +
eina_f16p16_mul(MATRIX_ZY(m1), MATRIX_YZ(m2)) +
eina_f16p16_mul(MATRIX_ZZ(m1), MATRIX_ZZ(m2));
MATRIX_XX(dst) = a11;
MATRIX_XY(dst) = a12;
MATRIX_XZ(dst) = a13;
MATRIX_YX(dst) = a21;
MATRIX_YY(dst) = a22;
MATRIX_YZ(dst) = a23;
MATRIX_ZX(dst) = a31;
MATRIX_ZY(dst) = a32;
MATRIX_ZZ(dst) = a33;
}
EAPI void
eina_matrix3_translate(Eina_Matrix3 *m, double tx, double ty)
{
MATRIX_XX(m) = 1;
MATRIX_XY(m) = 0;
MATRIX_XZ(m) = tx;
MATRIX_YX(m) = 0;
MATRIX_YY(m) = 1;
MATRIX_YZ(m) = ty;
MATRIX_ZX(m) = 0;
MATRIX_ZY(m) = 0;
MATRIX_ZZ(m) = 1;
}
EAPI void
eina_matrix3_scale(Eina_Matrix3 *m, double sx, double sy)
{
MATRIX_XX(m) = sx;
MATRIX_XY(m) = 0;
MATRIX_XZ(m) = 0;
MATRIX_YX(m) = 0;
MATRIX_YY(m) = sy;
MATRIX_YZ(m) = 0;
MATRIX_ZX(m) = 0;
MATRIX_ZY(m) = 0;
MATRIX_ZZ(m) = 1;
}
EAPI void
eina_matrix3_rotate(Eina_Matrix3 *m, double rad)
{
double c, s;
#if 0
c = cosf(rad);
s = sinf(rad);
#else
/* normalize the angle between -pi,pi */
rad = fmod(rad + M_PI, 2 * M_PI) - M_PI;
c = _cos(rad);
s = _sin(rad);
#endif
MATRIX_XX(m) = c;
MATRIX_XY(m) = -s;
MATRIX_XZ(m) = 0;
MATRIX_YX(m) = s;
MATRIX_YY(m) = c;
MATRIX_YZ(m) = 0;
MATRIX_ZX(m) = 0;
MATRIX_ZY(m) = 0;
MATRIX_ZZ(m) = 1;
}
EAPI void
eina_matrix3_identity(Eina_Matrix3 *m)
{
MATRIX_XX(m) = 1;
MATRIX_XY(m) = 0;
MATRIX_XZ(m) = 0;
MATRIX_YX(m) = 0;
MATRIX_YY(m) = 1;
MATRIX_YZ(m) = 0;
MATRIX_ZX(m) = 0;
MATRIX_ZY(m) = 0;
MATRIX_ZZ(m) = 1;
}
EAPI void
eina_matrix3_f16p16_identity(Eina_Matrix3_F16p16 *m)
{
MATRIX_XX(m) = 65536;
MATRIX_XY(m) = 0;
MATRIX_XZ(m) = 0;
MATRIX_YX(m) = 0;
MATRIX_YY(m) = 65536;
MATRIX_YZ(m) = 0;
MATRIX_ZX(m) = 0;
MATRIX_ZY(m) = 0;
MATRIX_ZZ(m) = 65536;
}
EAPI Eina_Bool
eina_matrix3_square_quad_map(Eina_Matrix3 *m, const Eina_Quad *q)
{
// x0 - x1 + x2 - x3
double ex = QUAD_X0(q) - QUAD_X1(q) + QUAD_X2(q) - QUAD_X3(q);
// y0 - y1 + y2 - y3
double ey = QUAD_Y0(q) - QUAD_Y1(q) + QUAD_Y2(q) - QUAD_Y3(q);
/* paralellogram */
if (!ex && !ey)
{
/* create the affine matrix */
MATRIX_XX(m) = QUAD_X1(q) - QUAD_X0(q);
MATRIX_XY(m) = QUAD_X2(q) - QUAD_X1(q);
MATRIX_XZ(m) = QUAD_X0(q);
MATRIX_YX(m) = QUAD_Y1(q) - QUAD_Y0(q);
MATRIX_YY(m) = QUAD_Y2(q) - QUAD_Y1(q);
MATRIX_YZ(m) = QUAD_Y0(q);
MATRIX_ZX(m) = 0;
MATRIX_ZY(m) = 0;
MATRIX_ZZ(m) = 1;
return EINA_TRUE;
}
else
{
double dx1 = QUAD_X1(q) - QUAD_X2(q); // x1 - x2
double dx2 = QUAD_X3(q) - QUAD_X2(q); // x3 - x2
double dy1 = QUAD_Y1(q) - QUAD_Y2(q); // y1 - y2
double dy2 = QUAD_Y3(q) - QUAD_Y2(q); // y3 - y2
double den = (dx1 * dy2) - (dx2 * dy1);
if (!den)
return EINA_FALSE;
MATRIX_ZX(m) = ((ex * dy2) - (dx2 * ey)) / den;
MATRIX_ZY(m) = ((dx1 * ey) - (ex * dy1)) / den;
MATRIX_ZZ(m) = 1;
MATRIX_XX(m) = QUAD_X1(q) - QUAD_X0(q) + (MATRIX_ZX(m) * QUAD_X1(q));
MATRIX_XY(m) = QUAD_X3(q) - QUAD_X0(q) + (MATRIX_ZY(m) * QUAD_X3(q));
MATRIX_XZ(m) = QUAD_X0(q);
MATRIX_YX(m) = QUAD_Y1(q) - QUAD_Y0(q) + (MATRIX_ZX(m) * QUAD_Y1(q));
MATRIX_YY(m) = QUAD_Y3(q) - QUAD_Y0(q) + (MATRIX_ZY(m) * QUAD_Y3(q));
MATRIX_YZ(m) = QUAD_Y0(q);
return EINA_TRUE;
}
}
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;
}
EAPI Eina_Bool
eina_matrix3_quad_quad_map(Eina_Matrix3 *m,
const Eina_Quad *src,
const Eina_Quad *dst)
{
Eina_Matrix3 tmp;
/* TODO check that both are actually quadrangles */
if (!eina_matrix3_quad_square_map(m, src))
return EINA_FALSE;
if (!eina_matrix3_square_quad_map(&tmp, dst))
return EINA_FALSE;
eina_matrix3_compose(&tmp, m, m);
return EINA_TRUE;
}
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