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/**
** sipp - SImple Polygon Processor
**
** A general 3d graphic package
**
** Copyright Equivalent Software HB 1992
**
** This program is free software; you can redistribute it and/or modify
** it under the terms of the GNU General Public License as published by
** the Free Software Foundation; either version 1, or any later version.
** This program 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 General Public License for more details.
** You can receive a copy of the GNU General Public License from the
** Free Software Foundation, Inc., 675 Mass Ave, Cambridge, MA 02139, USA.
**/
/**
** geometric.h - All kinds of stuff with matrixes, transformations,
** coordinates
**/
/* Make sure no multiple including */
#ifndef _GEOMETRIC_H_
#define _GEOMETRIC_H_
#include <math.h>
#ifndef NOMEMCPY
#include <memory.h>
#endif
/* #define PI 3.1415926535897932384626 */
typedef struct {
double x, y, z;
} Vector;
/*
* NOTE:
* Capitalized types denote Vectors and other aggregates.
* Lower case denote scalars.
*/
/* V = Vec(x, y, z) */
#define MakeVector(V, xx, yy, zz) { (V).x=(xx); \
(V).y=(yy); \
(V).z=(zz); }
/* A = -A */
#define VecNegate(A) { (A).x=0-(A).x; \
(A).y=0-(A).y; \
(A).z=0-(A).z; }
/* return A . B */
#define VecDot(A, B) ((A).x*(B).x+(A).y*(B).y+(A).z*(B).z)
/* return length(A) */
#define VecLen(A) (sqrt((double)VecDot(A, A)))
/* B = A */
#define VecCopy(B, A) ((B) = (A))
/* C = A + B */
#define VecAdd(C, A, B) { (C).x=(A).x+(B).x; \
(C).y=(A).y+(B).y; \
(C).z=(A).z+(B).z; }
/* C = A - B */
#define VecSub(C, A, B) { (C).x=(A).x-(B).x; \
(C).y=(A).y-(B).y; \
(C).z=(A).z-(B).z; }
/* C = a*A */
#define VecScalMul(C, a, A) { (C).x=(a)*(A).x; \
(C).y=(a)*(A).y; \
(C).z=(a)*(A).z; }
/* C = a*A + B */
#define VecAddS(C, a, A, B) { (C).x=(a)*(A).x+(B).x; \
(C).y=(a)*(A).y+(B).y; \
(C).z=(a)*(A).z+(B).z; }
/* C = a*A + b*B */
#define VecComb(C, a, A, b, B) { (C).x=(a)*(A).x+(b)*(B).x; \
(C).y=(a)*(A).y+(b)*(B).y; \
(C).z=(a)*(A).z+(b)*(B).z; }
/* C = A X B */
#define VecCross(C, A, B) { (C).x=(A).y*(B).z-(A).z*(B).y; \
(C).y=(A).z*(B).x-(A).x*(B).z; \
(C).z=(A).x*(B).y-(A).y*(B).x; }
#define VecMax(C, A, B) { (C).x=(((A).x>(B).x)?(A).x:(B).x); \
(C).y=(((A).y>(B).y)?(A).y:(B).y); \
(C).z=(((A).z>(B).z)?(A).z:(B).z); }
#define VecMin(C, A, B) { (C).x=(((A).x<(B).x)?(A).x:(B).x); \
(C).y=(((A).y<(B).y)?(A).y:(B).y); \
(C).z=(((A).z<(B).z)?(A).z:(B).z); }
/* ================================================================ */
/* Matrix operations */
/*
* Define a homogenous transformation matrix. The first row (vector)
* is the new X axis, i.e. the X axis in the transformed coordinate
* system. The second row is the new Y axis, and so on. The last row
* is the translation, for a transformed point.
*
* The reason we make surround the rows with a struct is that we
* don't want to say (Transf_mat *) &foo[0] instead of &foo when
* sending an address to a matrix as a parameter to a function.
* Alas, arrays are not first class objects in C.
*/
typedef struct {
double mat[4][3];
} Transf_mat;
extern Transf_mat ident_matrix;
/* *A = *B N.b. A and B are pointers! */
#define MatCopy(A, B) (*A) = (*B)
/*----------------------------------------------------------------------*/
/* Function declarations for the functions in geometric.c */
EXTERN void
vecnorm _ANSI_ARGS_((Vector *vec));
EXTERN Transf_mat *
transf_mat_create _ANSI_ARGS_((Transf_mat *initmat));
EXTERN void
transf_mat_destruct _ANSI_ARGS_((Transf_mat *mat));
EXTERN void
mat_translate _ANSI_ARGS_((Transf_mat *mat,
double dx,
double dy,
double dz));
EXTERN void
mat_rotate_x _ANSI_ARGS_((Transf_mat *mat,
double ang));
EXTERN void
mat_rotate_y _ANSI_ARGS_((Transf_mat *mat,
double ang));
EXTERN void
mat_rotate_z _ANSI_ARGS_((Transf_mat *mat,
double ang));
EXTERN void
mat_rotate _ANSI_ARGS_((Transf_mat *mat,
Vector *point,
Vector *vector,
double ang));
EXTERN void
mat_scale _ANSI_ARGS_((Transf_mat *mat,
double xscale,
double yscale,
double zscale));
EXTERN void
mat_mirror_plane _ANSI_ARGS_((Transf_mat *mat,
Vector *point,
Vector *norm));
EXTERN void
mat_mul _ANSI_ARGS_((Transf_mat *res,
Transf_mat *a,
Transf_mat *b));
EXTERN void
point_transform _ANSI_ARGS_((Vector *res,
Vector *vec,
Transf_mat *mat));
#endif /* _GEOMETRIC_H_ */
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