forked from enlightenment/efl
610 lines
18 KiB
C
610 lines
18 KiB
C
/* EINA - EFL data type library
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* Copyright (C) 2007-2014 Jorge Luis Zapata
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*
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* This library is free software; you can redistribute it and/or
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* modify it under the terms of the GNU Lesser General Public
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* License as published by the Free Software Foundation; either
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* version 2.1 of the License, or (at your option) any later version.
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*
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* This library is distributed in the hope that it will be useful,
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* but WITHOUT ANY WARRANTY; without even the implied warranty of
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* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
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* Lesser General Public License for more details.
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*
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* You should have received a copy of the GNU Lesser General Public
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* License along with this library.
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* If not, see <http://www.gnu.org/licenses/>.
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*/
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#ifndef EINA_MATRIX3_H_
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#define EINA_MATRIX3_H_
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#include "eina_quad.h"
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/**
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* @file
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* @ender_group{Eina_Matrix_Type}
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* @ender_group{Eina_Matrix3_F16p16}
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* @ender_group{Eina_Matrix3}
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*/
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/**
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* @defgroup Eina_Matrix_Type Matrices type
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* @ingroup Eina_Basic
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* @brief Matrix3 types
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* @{
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*/
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typedef enum _Eina_Matrix_Type
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{
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EINA_MATRIX_TYPE_IDENTITY, /**< Identity matrix3 type */
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EINA_MATRIX_TYPE_AFFINE, /**< Affine matrix3 type */
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EINA_MATRIX_TYPE_PROJECTIVE, /**< Projective matrix3 type */
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EINA_MATRIX_TYPE_LAST /**< The total number of matrix3 types */
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} Eina_Matrix_Type;
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/**
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* @}
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* @defgroup Eina_Matrix3_F16p16 Matrices in fixed point
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* @ingroup Eina_Basic
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* @brief Fixed point matrices operations
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* @{
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*/
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/**
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* Fixed point matrix3 handler
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*/
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typedef struct _Eina_Matrix3_F16p16 Eina_Matrix3_F16p16;
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struct _Eina_Matrix3_F16p16
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{
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Eina_F16p16 xx; /**< xx in x' = (x * xx) + (y * xy) + xz */
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Eina_F16p16 xy; /**< xy in x' = (x * xx) + (y * xy) + xz */
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Eina_F16p16 xz; /**< xz in x' = (x * xx) + (y * xy) + xz */
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Eina_F16p16 yx; /**< yx in y' = (x * yx) + (y * yy) + yz */
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Eina_F16p16 yy; /**< yy in y' = (x * yx) + (y * yy) + yz */
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Eina_F16p16 yz; /**< yz in y' = (x * yx) + (y * yy) + yz */
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Eina_F16p16 zx; /**< zx in z' = (x * zx) + (y * zy) + zz */
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Eina_F16p16 zy; /**< zy in z' = (x * zx) + (y * zy) + zz */
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Eina_F16p16 zz; /**< zz in z' = (x * zx) + (y * zy) + zz */
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};
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/**
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* @brief Set the given fixed point matrix to the identity matrix.
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*
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* @param m The fixed point matrix to set
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*
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* This function sets @p m to the identity matrix. No check is done on
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* @p m.
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*
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* @since 1.14
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*/
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EAPI void eina_matrix3_f16p16_identity(Eina_Matrix3_F16p16 *m);
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/**
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* @since 1.14
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*/
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EAPI void eina_matrix3_f16p16_compose(const Eina_Matrix3_F16p16 *m1,
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const Eina_Matrix3_F16p16 *m2,
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Eina_Matrix3_F16p16 *dst);
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/**
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* @brief Return the type of the given fixed point matrix.
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*
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* @param m The fixed point matrix.
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* @return The type of the matrix.
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*
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* This function returns the type of the matrix @p m. No check is done
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* on @p m.
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*
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* @since 1.14
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*/
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EAPI Eina_Matrix_Type eina_matrix3_f16p16_type_get(const Eina_Matrix3_F16p16 *m);
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/**
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* @}
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* @defgroup Eina_Matrix3 Matrices in floating point
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* @ingroup Eina_Basic
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* @brief Matrix definition and operations
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* @{
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*/
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/** Helper macro for printf formatting */
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#define EINA_MATRIX3_FORMAT "g %g %g | %g %g %g | %g %g %g"
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/** Helper macro for printf formatting arg */
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#define EINA_MATRIX3_ARGS(m) (m)->xx, (m)->xy, (m)->xz, \
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(m)->yx, (m)->yy, (m)->yz, \
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(m)->zx, (m)->zy, (m)->zz
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/**
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* Floating point matrix3 handler
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*/
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typedef struct _Eina_Matrix3 Eina_Matrix3;
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struct _Eina_Matrix3
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{
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double xx; /**< xx in x' = (x * xx) + (y * xy) + xz */
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double xy; /**< xy in x' = (x * xx) + (y * xy) + xz */
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double xz; /**< xz in x' = (x * xx) + (y * xy) + xz */
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double yx; /**< yx in y' = (x * yx) + (y * yy) + yz */
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double yy; /**< yy in y' = (x * yx) + (y * yy) + yz */
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double yz; /**< yz in y' = (x * yx) + (y * yy) + yz */
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double zx; /**< zx in z' = (x * zx) + (y * zy) + zz */
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double zy; /**< zy in z' = (x * zx) + (y * zy) + zz */
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double zz; /**< zz in z' = (x * zx) + (y * zy) + zz */
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};
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/**
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* @brief Return the type of the given floating point matrix.
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*
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* @param m The floating point matrix.
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* @return The type of the matrix.
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*
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* This function returns the type of the matrix @p m. No check is done
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* on @p m.
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*
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* @since 1.14
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*/
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EAPI Eina_Matrix_Type eina_matrix3_type_get(const Eina_Matrix3 *m);
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/**
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* @brief Set the values of the coefficients of the given floating
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* point matrix.
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*
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* @param m The floating point matrix.
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* @param xx The first coefficient value.
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* @param xy The second coefficient value.
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* @param xz The third coefficient value.
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* @param yx The fourth coefficient value.
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* @param yy The fifth coefficient value.
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* @param yz The sixth coefficient value.
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* @param zx The seventh coefficient value.
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* @param zy The heighth coefficient value.
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* @param zz The nineth coefficient value.
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*
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* This function sets the values of the coefficients of the matrix
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* @p m. No check is done on @p m.
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*
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* @see eina_matrix3_values_get()
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*
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* @since 1.14
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*/
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EAPI void eina_matrix3_values_set(Eina_Matrix3 *m,
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double xx, double xy, double xz,
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double yx, double yy, double yz,
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double zx, double zy, double zz);
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/**
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* @brief Get the values of the coefficients of the given floating
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* point matrix.
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*
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* @param m The floating point matrix.
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* @param xx The first coefficient value.
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* @param xy The second coefficient value.
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* @param xz The third coefficient value.
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* @param yx The fourth coefficient value.
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* @param yy The fifth coefficient value.
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* @param yz The sixth coefficient value.
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* @param zx The seventh coefficient value.
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* @param zy The heighth coefficient value.
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* @param zz The nineth coefficient value.
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*
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* This function gets the values of the coefficients of the matrix
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* @p m. No check is done on @p m.
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*
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* @see eina_matrix3_values_set()
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*
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* @since 1.14
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*/
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EAPI void eina_matrix3_values_get(const Eina_Matrix3 *m,
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double *xx, double *xy, double *xz,
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double *yx, double *yy, double *yz,
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double *zx, double *zy, double *zz);
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/**
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* @brief Get the values of the coefficients of the given fixed
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* point matrix.
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*
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* @param m The fixed point matrix.
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* @param xx The first coefficient value.
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* @param xy The second coefficient value.
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* @param xz The third coefficient value.
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* @param yx The fourth coefficient value.
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* @param yy The fifth coefficient value.
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* @param yz The sixth coefficient value.
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* @param zx The seventh coefficient value.
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* @param zy The heighth coefficient value.
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* @param zz The nineth coefficient value.
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*
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* This function gets the values of the coefficients of the matrix
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* @p m. No check is done on @p m.
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*
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* @see eina_matrix3_values_set()
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*
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* @since 1.14
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*/
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EAPI void eina_matrix3_fixed_values_get(const Eina_Matrix3 *m,
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Eina_F16p16 *xx, Eina_F16p16 *xy, Eina_F16p16 *xz,
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Eina_F16p16 *yx, Eina_F16p16 *yy, Eina_F16p16 *yz,
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Eina_F16p16 *zx, Eina_F16p16 *zy, Eina_F16p16 *zz);
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/**
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* @brief Transform the given floating point matrix to the given fixed
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* point matrix.
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*
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* @param m The floating point matrix.
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* @param fm The fixed point matrix.
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*
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* This function transforms the floating point matrix @p m to a fixed
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* point matrix and store the coefficients into the fixed point matrix
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* @p fm.
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*
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* @since 1.14
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*/
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EAPI void eina_matrix3_matrix3_f16p16_to(const Eina_Matrix3 *m,
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Eina_Matrix3_F16p16 *fm);
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/**
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* @brief Check whether the two given matrices are equal or not.
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*
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* @param m1 The first matrix.
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* @param m2 The second matrix.
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* @return EINA_TRUE if the two matrices are equal, 0 otherwise.
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*
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* This function return EINA_TRUE if thematrices @p m1 and @p m2 are
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* equal, EINA_FALSE otherwise. No check is done on the matrices.
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*
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* @since 1.14
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*/
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EAPI Eina_Bool eina_matrix3_equal(const Eina_Matrix3 *m1, const Eina_Matrix3 *m2);
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/**
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* @since 1.14
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*/
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EAPI void eina_matrix3_compose(const Eina_Matrix3 *m1,
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const Eina_Matrix3 *m2,
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Eina_Matrix3 *dst);
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/**
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* Set the matrix values for a translation
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* @param[in] m The matrix to set the translation values
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* @param[in] tx The X coordinate translate
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* @param[in] ty The Y coordinate translate
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*
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* @since 1.14
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*/
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EAPI void eina_matrix3_translate(Eina_Matrix3 *t, double tx, double ty);
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/**
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* Set the matrix values for a scale
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* @param[in] m The matrix to set the scale values
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* @param[in] sx The X coordinate scale
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* @param[in] sy The Y coordinate scale
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*
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* @since 1.14
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*/
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EAPI void eina_matrix3_scale(Eina_Matrix3 *t, double sx, double sy);
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/**
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* Set the matrix values for a rotation
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* @param[in] m The matrix to set the rotation values
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* @param[in] rad The radius to rotate the matrix
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*
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* @since 1.14
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*/
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EAPI void eina_matrix3_rotate(Eina_Matrix3 *t, double rad);
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/**
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* @brief Set the given floating point matrix to the identity matrix.
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*
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* @param m The floating point matrix to set
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*
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* This function sets @p m to the identity matrix. No check is done on
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* @p m.
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*
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* @since 1.14
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*/
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EAPI void eina_matrix3_identity(Eina_Matrix3 *t);
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/**
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* @brief Return the determinant of the given matrix.
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*
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* @param m The matrix.
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* @return The determinant.
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*
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* This function returns the determinant of the matrix @p m. No check
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* is done on @p m.
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*
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* @since 1.14
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*/
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EAPI double eina_matrix3_determinant(const Eina_Matrix3 *m);
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/**
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* @brief Divide the given matrix by the given scalar.
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*
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* @param m The matrix.
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* @param scalar The scalar number.
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*
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* This function divides the matrix @p m by @p scalar. No check
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* is done on @p m.
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*
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* @since 1.14
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*/
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EAPI void eina_matrix3_divide(Eina_Matrix3 *m, double scalar);
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/**
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* @brief Compute the inverse of the given matrix.
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*
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* @param m The matrix to inverse.
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* @param m2 The inverse matrix.
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*
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* This function inverse the matrix @p m and stores the result in
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* @p m2. No check is done on @p m or @p m2. If @p m can not be
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* invertible, then @p m2 is set to the identity matrix.
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*
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* @since 1.14
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*/
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EAPI void eina_matrix3_inverse(const Eina_Matrix3 *m, Eina_Matrix3 *m2);
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/**
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* @since 1.14
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*/
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EAPI void eina_matrix3_transpose(const Eina_Matrix3 *m, Eina_Matrix3 *a);
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/**
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* @since 1.14
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*/
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EAPI void eina_matrix3_cofactor(const Eina_Matrix3 *m, Eina_Matrix3 *a);
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/**
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* @since 1.14
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*/
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EAPI void eina_matrix3_adjoint(const Eina_Matrix3 *m, Eina_Matrix3 *a);
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/**
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* @since 1.14
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*/
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EAPI void eina_matrix3_point_transform(const Eina_Matrix3 *m,
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double x, double y,
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double *xr, double *yr);
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/**
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* @since 1.14
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*/
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EAPI void eina_matrix3_rectangle_transform(const Eina_Matrix3 *m,
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const Eina_Rectangle *r,
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const Eina_Quad *q);
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/**
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* @brief Creates a projective matrix that maps a quadrangle to a quadrangle
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*/
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EAPI Eina_Bool eina_matrix3_quad_quad_map(Eina_Matrix3 *m,
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const Eina_Quad *src,
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const Eina_Quad *dst);
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/**
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* @since 1.14
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*/
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EAPI Eina_Bool eina_matrix3_square_quad_map(Eina_Matrix3 *m,
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const Eina_Quad *q);
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/**
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* @since 1.14
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*/
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EAPI Eina_Bool eina_matrix3_quad_square_map(Eina_Matrix3 *m,
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const Eina_Quad *q);
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/**
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* @}
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* @defgroup Eina_Matrix4 Matrices in floating point
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* @ingroup Eina_Basic
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* @brief Matrix definition and operations
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* @{
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*/
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typedef struct _Eina_Matrix4 Eina_Matrix4;
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struct _Eina_Matrix4
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{
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double xx; /**< xx in x' = (x * xx) + (y * xy) + (z * xz) + xw */
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double xy; /**< xy in x' = (x * xx) + (y * xy) + (z * xz) + xw */
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double xz; /**< xz in x' = (x * xx) + (y * xy) + (z * xz) + xw */
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double xw; /**< xw in x' = (x * xx) + (y * xy) + (z * xz) + xw */
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double yx; /**< yx in y' = (x * yx) + (y * yy) + (z * yz) + yw */
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double yy; /**< yy in y' = (x * yx) + (y * yy) + (z * yz) + yw */
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double yz; /**< yz in y' = (x * yx) + (y * yy) + (z * yz) + yw */
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double yw; /**< yw in y' = (x * yx) + (y * yy) + (z * yz) + yw */
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double zx; /**< zx in z' = (x * zx) + (y * zy) + (z * zz) + zw */
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double zy; /**< zy in z' = (x * zx) + (y * zy) + (z * zz) + zw */
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double zz; /**< zz in z' = (x * zx) + (y * zy) + (z * zz) + zw */
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double zw; /**< zw in z' = (x * zx) + (y * zy) + (z * zz) + zw */
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double wx; /**< wx in w' = (x * wx) + (y * wy) + (z * wz) + ww */
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double wy; /**< wy in w' = (x * wx) + (y * wy) + (z * wz) + ww */
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double wz; /**< wz in w' = (x * wx) + (y * wy) + (z * wz) + ww */
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double ww; /**< ww in w' = (x * wx) + (y * wy) + (z * wz) + ww */
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};
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/**
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* @brief Return the type of the given floating point matrix.
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*
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* @param m The floating point matrix.
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* @return The type of the matrix.
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*
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* This function returns the type of the matrix @p m. No check is done
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* on @p m.
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*
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* @since 1.15
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*/
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EAPI Eina_Matrix_Type eina_matrix4_type_get(const Eina_Matrix4 *m);
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/**
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* @brief Set the values of the coefficients of the given floating
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* point matrix.
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*
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* @param m The floating point matrix.
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* @param xx The first coefficient value.
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* @param xy The second coefficient value.
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* @param xz The third coefficient value.
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* @param xw The fourth coefficient value.
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* @param yx The fifth coefficient value.
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* @param yy The sixth coefficient value.
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* @param yz The seventh coefficient value.
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* @param yw The heighth coefficient value.
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* @param zx The nineth coefficient value.
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* @param zy The tenth coefficient value.
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* @param zz The eleventh coefficient value.
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* @param zw The twelfth coefficient value.
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* @param wx The thirteenth coefficient value.
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* @param wy The fourteenth coefficient value.
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* @param wz The fifteenth coefficient value.
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* @param ww The sizteenth coefficient value.
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*
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* This function sets the values of the coefficients of the matrix
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* @p m. No check is done on @p m.
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*
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* @see eina_matrix4_values_get()
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*
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* @since 1.15
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*/
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EAPI void eina_matrix4_values_set(Eina_Matrix4 *m,
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double xx, double xy, double xz, double xw,
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double yx, double yy, double yz, double yw,
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double zx, double zy, double zz, double zw,
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double wx, double wy, double wz, double ww);
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/**
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* @brief Get the values of the coefficients of the given floating
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* point matrix.
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*
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* @param m The floating point matrix.
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* @param xx The first coefficient value.
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* @param xy The second coefficient value.
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* @param xz The third coefficient value.
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* @param xw The fourth coefficient value.
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* @param yx The fifth coefficient value.
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* @param yy The sixth coefficient value.
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* @param yz The seventh coefficient value.
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* @param yw The heighth coefficient value.
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* @param zx The nineth coefficient value.
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* @param zy The tenth coefficient value.
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* @param zz The eleventh coefficient value.
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* @param zw The twelfth coefficient value.
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* @param wx The thirteenth coefficient value.
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* @param wy The fourteenth coefficient value.
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* @param wz The fifteenth coefficient value.
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* @param ww The sizteenth coefficient value.
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*
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* This function gets the values of the coefficients of the matrix
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* @p m. No check is done on @p m.
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*
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* @see eina_matrix4_values_set()
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*
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* @since 1.15
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*/
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EAPI void eina_matrix4_values_get(const Eina_Matrix4 *m,
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double *xx, double *xy, double *xz, double *xw,
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double *yx, double *yy, double *yz, double *yw,
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double *zx, double *zy, double *zz, double *zw,
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double *wx, double *wy, double *wz, double *ww);
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/**
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* @brief Return the determinant of the given matrix.
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*
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* @param m The matrix.
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* @return The determinant.
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*
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* This function returns the determinant of the matrix @p m. No check
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* is done on @p m.
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*
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* @since 1.16
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*/
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EAPI double eina_matrix4_determinant(const Eina_Matrix4 *m);
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/**
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* @brief Return the determinant of the given matrix.
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*
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* @param m The matrix.
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* @return The determinant.
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*
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* This function returns the determinant of the matrix @p m. No check
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* is done on @p m.
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*
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* @since 1.16
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*/
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EAPI Eina_Bool eina_matrix4_normalized(Eina_Matrix4 *out,
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const Eina_Matrix4 *in);
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/**
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* @brief Return the inverse of the given matrix.
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*
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* @param out The inverse matrix
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* @param in The matrix.
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* @return @c EINA_TRUE on success, @c EINA_FALSE otherwise.
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*
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* @since 1.16
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*/
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EAPI Eina_Bool eina_matrix4_inverse(Eina_Matrix4 *out, const Eina_Matrix4 *in);
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/**
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* @brief Return the transpose of the given matrix.
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*
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* @param out The transpose matrix
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* @param in The matrix.
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*
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* Just going to swap row and column.
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*
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* @since 1.16
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*/
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EAPI void eina_matrix4_transpose(Eina_Matrix4 *out, const Eina_Matrix4 *in);
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/**
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* @brief Convert an Eina_Matrix4 into an Eina_Matrix3.
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*
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* @param m3 The destination Eina_Matrix3.
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* @param m4 The source Eina_Matrix4.
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*
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* @since 1.15
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*/
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EAPI void eina_matrix4_matrix3_to(Eina_Matrix3 *m3, const Eina_Matrix4 *m4);
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/**
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* @brief Convert an Eina_Matrix3 into an Eina_Matrix4.
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*
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* @param m3 The destination Eina_Matrix3.
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* @param m4 The source Eina_Matrix4.
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*
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* @since 1.15
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*/
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EAPI void eina_matrix3_matrix4_to(Eina_Matrix4 *m4, const Eina_Matrix3 *m3);
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/**
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* @brief Set an identity matrix
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*
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* @param out The matrix to set
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*
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* @since 1.16
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*/
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EAPI void eina_matrix4_identity(Eina_Matrix4 *out);
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/**
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* @brief Multiply two matrix
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*
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* @param out The resulting matrix
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* @param a The first member of the multiplication
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* @param b The second member of the multiplication
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*
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* @since 1.16
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*/
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EAPI void eina_matrix4_multiply(Eina_Matrix4 *out,
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const Eina_Matrix4 *a, const Eina_Matrix4 *b);
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/**
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* @}
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*/
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#endif /*EINA_MATRIX3_H_*/
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