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# ifndef UTIL_AFFINE_TRANSFORM_H
# define UTIL_AFFINE_TRANSFORM_H
/************************************************************************/
/* */
/* Affine transformation 2 dimensional. */
/* */
/************************************************************************/
typedef struct AffineTransform2D
{
double at2Axx;
double at2Axy;
double at2Ayx;
double at2Ayy;
double at2Tx;
double at2Ty;
} AffineTransform2D;
# define AT2_X( x, y, at ) \
( (at)->at2Axx* (x)+ (at)->at2Ayx* (y)+ (at)->at2Tx )
# define AT2_Y( x, y, at ) \
( (at)->at2Axy* (x)+ (at)->at2Ayy* (y)+ (at)->at2Ty )
/************************************************************************/
/* */
/* Affine transformation 3 dimensional. */
/* */
/************************************************************************/
typedef struct AffineTransform3D
{
double at3Axx;
double at3Axy;
double at3Axz;
double at3Ayx;
double at3Ayy;
double at3Ayz;
double at3Azx;
double at3Azy;
double at3Azz;
double at3Tx;
double at3Ty;
double at3Tz;
} AffineTransform3D;
# define AT3_X( x, y, z, at ) \
( (at)->at3Axx* (x)+ (at)->at3Ayx* (y)+ (at)->at3Azx* (z)+ (at)->at3Tx )
# define AT3_Y( x, y, z, at ) \
( (at)->at3Axy* (x)+ (at)->at3Ayy* (y)+ (at)->at3Azy* (z)+ (at)->at3Ty )
# define AT3_Z( x, y, z, at ) \
( (at)->at3Axz* (x)+ (at)->at3Ayz* (y)+ (at)->at3Azz* (z)+ (at)->at3Tz )
/************************************************************************/
/* */
/* Routine Declarations. */
/* */
/************************************************************************/
extern int utilAffineTransformForTriangles( AffineTransform2D * atRes,
double x_1,
double x_2,
double y_1,
double y_2,
double z_1,
double z_2,
double p_1,
double p_2,
double q_1,
double q_2,
double r_1,
double r_2 );
extern void utilInitAffineTransform2D( AffineTransform2D * at2 );
extern void utilIdentityAffineTransform2D( AffineTransform2D * at2 );
extern void utilRotationAffineTransform2D( AffineTransform2D * at2,
double a );
extern void utilAffineTransform2DProduct(
AffineTransform2D * ba,
const AffineTransform2D * b,
const AffineTransform2D * a );
extern double utilAffineTransformDeterminant2D(
const AffineTransform2D * at2 );
extern void utilInitAffineTransform3D( AffineTransform3D * at3 );
extern void utilIdentityAffineTransform3D( AffineTransform3D * at3 );
extern void utilXYRotationAffineTransform3D( AffineTransform3D * at3,
double a );
extern void utilXZRotationAffineTransform3D( AffineTransform3D * at3,
double a );
extern void utilYZRotationAffineTransform3D( AffineTransform3D * at3,
double a );
extern void utilAffineTransform3DProduct(
AffineTransform3D * ba,
const AffineTransform3D * b,
const AffineTransform3D * a );
extern double utilAffineTransformDeterminant3D(
const AffineTransform3D * at3 );
# endif /* UTIL_AFFINE_TRANSFORM_H */
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