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#if 0
//<copyright>
//
// Copyright (c) 1992,93,94,95,96,97
// Institute for Information Processing and Computer Supported New Media (IICM),
// Graz University of Technology, Austria.
//
// This file is part of VRweb.
//
// VRweb 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 2, or (at your option)
// any later version.
//
// VRweb 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 should have received a copy of the GNU General Public License
// along with VRweb; see the file LICENCE. If not, write to the
// Free Software Foundation, Inc., 59 Temple Place - Suite 330,
// Boston, MA 02111-1307, USA.
//
//</copyright>
#endif
/*
* File: vectors.h
*
* Author: Michael Hofer (until May 92) and Michael Pichler
*
* Created: 12 Mar 92
*
* Changed: 21 Feb 97 Michael Pichler
*
* $Id: vectors.h,v 1.3 1997/03/06 13:21:37 mpichler Exp $
*
*/
#ifndef ge3d_vectors_h
#define ge3d_vectors_h
typedef struct
{ float x, y;
} point2D, vector2D;
typedef struct
{ float x, y, z;
} vector3D, point3D;
typedef float matrix4D [4][4];
/* this was defined as "matrix" in earlier versions,
* but has been changed to "matrix4D" to avoid conflicts
* with other libraries using the type "matrix"
*/
/* macros for 3D-vector operations */
/* comments in pseudo language */
/* initialisation/assignment. p := (X, Y, Z) */
#define init3D(p, X, Y, Z) \
(p).x = (X), (p).y = (Y), (p).z = (Z)
/* initialisation/assignment. p := (X, Y) */
#define init2D(p, X, Y) \
(p).x = (X), (p).y = (Y)
/* addition. a + b -> c */
#define add3D(a, b, c) (c).x = (a).x + (b).x, \
(c).y = (a).y + (b).y, \
(c).z = (a).z + (b).z
/* subtraction. a - b -> c */
#define sub3D(a,b,c) (c).x = (a).x - (b).x, \
(c).y = (a).y - (b).y, \
(c).z = (a).z - (b).z
/* negation. a = - a */
#define neg3D(a) (a).x = - (a).x, \
(a).y = - (a).y, \
(a).z = - (a).z
/* increment. a += b */
#define inc3D(a, b) \
(a).x += (b).x, (a).y += (b).y, (a).z += (b).z
/* decrement. a -= b */
#define dec3D(a, b) \
(a).x -= (b).x, (a).y -= (b).y, (a).z -= (b).z
/* scale. a *= s */
#define scl3D(a, s) (a).x *= (s), \
(a).y *= (s), \
(a).z *= (s)
/* dotproduct. return <a.b> */
#define dot3D(a, b) ((a).x * (b).x + (a).y * (b).y + (a).z * (b).z)
#define dot2D(a, b) ((a).x * (b).x + (a).y * (b).y)
/* norm. return |a| */
#define norm3D(a) sqrt (dot3D (a, a))
#define norm2D(a) sqrt (dot2D (a, a))
/* crossproduct. a X b -> c */
/* important: make sure that c is not identical to a or b! */
#define crp3D(a, b, c) (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
/* parametric line equation. a + t*b -> c */
#define pol3D(a, t, b, c) (c).x = (a).x + (t) * (b).x, \
(c).y = (a).y + (t) * (b).y, \
(c).z = (a).z + (t) * (b).z
/* linear combination (interpolation). s*a + t*b -> c */
#define lcm3D(s, a, t, b, c) \
(c).x = (s) * (a).x + (t) * (b).x, \
(c).y = (s) * (a).y + (t) * (b).y, \
(c).z = (s) * (a).z + (t) * (b).z
#endif
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