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/*

 * Mesa 3-D graphics library

 *

 * Copyright (C) 1999-2005  Brian Paul   All Rights Reserved.

 *

 * Permission is hereby granted, free of charge, to any person obtaining a

 * copy of this software and associated documentation files (the "Software"),

 * to deal in the Software without restriction, including without limitation

 * the rights to use, copy, modify, merge, publish, distribute, sublicense,

 * and/or sell copies of the Software, and to permit persons to whom the

 * Software is furnished to do so, subject to the following conditions:

 *

 * The above copyright notice and this permission notice shall be included

 * in all copies or substantial portions of the Software.

 *

 * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS

 * OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,

 * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT.  IN NO EVENT SHALL

 * THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR

 * OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE,

 * ARISING FROM, OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR

 * OTHER DEALINGS IN THE SOFTWARE.

 */

/**

 * \file math/m_matrix.h

 * Defines basic structures for matrix-handling.

 */

#ifndef _M_MATRIX_H

#define _M_MATRIX_H

#include "main/glheader.h"

#ifdef __cplusplus

extern "C" {

#endif

/**

 * \name Symbolic names to some of the entries in the matrix

 *

 * These are handy for the viewport mapping, which is expressed as a matrix.

 */

/*@{*/

#define MAT_SX 0

#define MAT_SY 5

#define MAT_SZ 10

#define MAT_TX 12

#define MAT_TY 13

#define MAT_TZ 14

/*@}*/

/**

 * Different kinds of 4x4 transformation matrices.

 * We use these to select specific optimized vertex transformation routines.

 */

enum GLmatrixtype {

   MATRIX_GENERAL,	/**< general 4x4 matrix */

   MATRIX_IDENTITY,	/**< identity matrix */

   MATRIX_3D_NO_ROT,	/**< orthogonal projection and others... */

   MATRIX_PERSPECTIVE,	/**< perspective projection matrix */

   MATRIX_2D,		/**< 2-D transformation */

   MATRIX_2D_NO_ROT,	/**< 2-D scale & translate only */

   MATRIX_3D		/**< 3-D transformation */

} ;

/**

 * Matrix type to represent 4x4 transformation matrices.

 */

typedef struct {

   GLfloat *m;		/**< 16 matrix elements (16-byte aligned) */

   GLfloat *inv;	/**< 16-element inverse (16-byte aligned) */

   GLuint flags;        /**< possible values determined by (of \link

                         * MatFlags MAT_FLAG_* flags\endlink)

                         */

   enum GLmatrixtype type;

} GLmatrix;

extern void

_math_matrix_ctr( GLmatrix *m );

extern void

_math_matrix_dtr( GLmatrix *m );

extern void

_math_matrix_mul_matrix( GLmatrix *dest, const GLmatrix *a, const GLmatrix *b );

extern void

_math_matrix_mul_floats( GLmatrix *dest, const GLfloat *b );

extern void

_math_matrix_loadf( GLmatrix *mat, const GLfloat *m );

extern void

_math_matrix_translate( GLmatrix *mat, GLfloat x, GLfloat y, GLfloat z );

extern void

_math_matrix_rotate( GLmatrix *m, GLfloat angle,

		     GLfloat x, GLfloat y, GLfloat z );

extern void

_math_matrix_scale( GLmatrix *mat, GLfloat x, GLfloat y, GLfloat z );

extern void

_math_matrix_ortho( GLmatrix *mat,

		    GLfloat left, GLfloat right,

		    GLfloat bottom, GLfloat top,

		    GLfloat nearval, GLfloat farval );

extern void

_math_matrix_frustum( GLmatrix *mat,

		      GLfloat left, GLfloat right,

		      GLfloat bottom, GLfloat top,

		      GLfloat nearval, GLfloat farval );

extern void

_math_matrix_viewport( GLmatrix *m, const double scale[3],

                       const double translate[3], double depthMax );

extern void

_math_matrix_set_identity( GLmatrix *dest );

extern void

_math_matrix_copy( GLmatrix *to, const GLmatrix *from );

extern void

_math_matrix_analyse( GLmatrix *mat );

extern void

_math_matrix_print( const GLmatrix *m );

extern GLboolean

_math_matrix_is_length_preserving( const GLmatrix *m );

extern GLboolean

_math_matrix_has_rotation( const GLmatrix *m );

extern GLboolean

_math_matrix_is_general_scale( const GLmatrix *m );

extern GLboolean

_math_matrix_is_dirty( const GLmatrix *m );

/**

 * \name Related functions that don't actually operate on GLmatrix structs

 */

/*@{*/

extern void

_math_transposef( GLfloat to[16], const GLfloat from[16] );

extern void

_math_transposed( GLdouble to[16], const GLdouble from[16] );

extern void

_math_transposefd( GLfloat to[16], const GLdouble from[16] );

/*

 * Transform a point (column vector) by a matrix:   Q = M * P

 */

#define TRANSFORM_POINT( Q, M, P )					\

   Q[0] = M[0] * P[0] + M[4] * P[1] + M[8] *  P[2] + M[12] * P[3];	\

   Q[1] = M[1] * P[0] + M[5] * P[1] + M[9] *  P[2] + M[13] * P[3];	\

   Q[2] = M[2] * P[0] + M[6] * P[1] + M[10] * P[2] + M[14] * P[3];	\

   Q[3] = M[3] * P[0] + M[7] * P[1] + M[11] * P[2] + M[15] * P[3];

#define TRANSFORM_POINT3( Q, M, P )				\

   Q[0] = M[0] * P[0] + M[4] * P[1] + M[8] *  P[2] + M[12];	\

   Q[1] = M[1] * P[0] + M[5] * P[1] + M[9] *  P[2] + M[13];	\

   Q[2] = M[2] * P[0] + M[6] * P[1] + M[10] * P[2] + M[14];	\

   Q[3] = M[3] * P[0] + M[7] * P[1] + M[11] * P[2] + M[15];

/*

 * Transform a normal (row vector) by a matrix:  [NX NY NZ] = N * MAT

 */

#define TRANSFORM_NORMAL( TO, N, MAT )				\

do {								\

   TO[0] = N[0] * MAT[0] + N[1] * MAT[1] + N[2] * MAT[2];	\

   TO[1] = N[0] * MAT[4] + N[1] * MAT[5] + N[2] * MAT[6];	\

   TO[2] = N[0] * MAT[8] + N[1] * MAT[9] + N[2] * MAT[10];	\

} while (0)

/**

 * Transform a direction by a matrix.

 */

#define TRANSFORM_DIRECTION( TO, DIR, MAT )			\

do {								\

   TO[0] = DIR[0] * MAT[0] + DIR[1] * MAT[4] + DIR[2] * MAT[8];	\

   TO[1] = DIR[0] * MAT[1] + DIR[1] * MAT[5] + DIR[2] * MAT[9];	\

   TO[2] = DIR[0] * MAT[2] + DIR[1] * MAT[6] + DIR[2] * MAT[10];\

} while (0)

extern void

_mesa_transform_vector(GLfloat u[4], const GLfloat v[4], const GLfloat m[16]);

/*@}*/

#ifdef __cplusplus

}

#endif

#endif