t3d.cpp

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/*
** ---------------------------------------------------------------
** t3d.cpp  -  3D matrix transformations class.
**
** ---------------------------------------------------------------
*/

/*
** ---------------------------------------------------------------
** Global variables and symbols:
*/
#include <math.h>
#include "t3d.h"

/*
** ---------------------------------------------------------------
** Initialization of class variables:
*/
double T3d::mt[4][4] =
 {
  { 1.0, 0.0, 0.0, 0.0 } ,
  { 0.0, 1.0, 0.0, 0.0 } ,
  { 0.0, 0.0, 1.0, 0.0 } ,
  { 0.0, 0.0, 0.0, 1.0 }
 };

/*
** ---------------------------------------------------------------
** Private class functions:
*/

/*=======================  T3d::Accumulate  ======================*/
void T3d::Accumulate( double new_mt[4][4] )
{
 double   t0, t1, t2;

 t0       =  mt[0][0]*new_mt[0][0] + mt[1][0]*new_mt[0][1] 
           + mt[2][0]*new_mt[0][2] + mt[3][0]*new_mt[0][3];
 t1       =  mt[0][0]*new_mt[1][0] + mt[1][0]*new_mt[1][1] 
           + mt[2][0]*new_mt[1][2] + mt[3][0]*new_mt[1][3];
 t2       =  mt[0][0]*new_mt[2][0] + mt[1][0]*new_mt[2][1] 
           + mt[2][0]*new_mt[2][2] + mt[3][0]*new_mt[2][3];
 mt[3][0] =  mt[0][0]*new_mt[3][0] + mt[1][0]*new_mt[3][1] 
           + mt[2][0]*new_mt[3][2] + mt[3][0]*new_mt[3][3];
 mt[2][0] =  t2;
 mt[1][0] =  t1;
 mt[0][0] =  t0;

 t0       =  mt[0][1]*new_mt[0][0] + mt[1][1]*new_mt[0][1] 
           + mt[2][1]*new_mt[0][2] + mt[3][1]*new_mt[0][3];
 t1       =  mt[0][1]*new_mt[1][0] + mt[1][1]*new_mt[1][1] 
           + mt[2][1]*new_mt[1][2] + mt[3][1]*new_mt[1][3];
 t2       =  mt[0][1]*new_mt[2][0] + mt[1][1]*new_mt[2][1] 
           + mt[2][1]*new_mt[2][2] + mt[3][1]*new_mt[2][3];
 mt[3][1] =  mt[0][1]*new_mt[3][0] + mt[1][1]*new_mt[3][1] 
           + mt[2][1]*new_mt[3][2] + mt[3][1]*new_mt[3][3];
 mt[2][1] =  t2;
 mt[1][1] =  t1;
 mt[0][1] =  t0;

 t0       =  mt[0][2]*new_mt[0][0] + mt[1][2]*new_mt[0][1] 
           + mt[2][2]*new_mt[0][2] + mt[3][2]*new_mt[0][3];
 t1       =  mt[0][2]*new_mt[1][0] + mt[1][2]*new_mt[1][1] 
           + mt[2][2]*new_mt[1][2] + mt[3][2]*new_mt[1][3];
 t2       =  mt[0][2]*new_mt[2][0] + mt[1][2]*new_mt[2][1] 
           + mt[2][2]*new_mt[2][2] + mt[3][2]*new_mt[2][3];
 mt[3][2] =  mt[0][2]*new_mt[3][0] + mt[1][2]*new_mt[3][1] 
           + mt[2][2]*new_mt[3][2] + mt[3][2]*new_mt[3][3];
 mt[2][2] =  t2;
 mt[1][2] =  t1;
 mt[0][2] =  t0;

 t0       =  mt[0][3]*new_mt[0][0] + mt[1][3]*new_mt[0][1] 
           + mt[2][3]*new_mt[0][2] + mt[3][3]*new_mt[0][3];
 t1       =  mt[0][3]*new_mt[1][0] + mt[1][3]*new_mt[1][1] 
           + mt[2][3]*new_mt[1][2] + mt[3][3]*new_mt[1][3];
 t2       =  mt[0][3]*new_mt[2][0] + mt[1][3]*new_mt[2][1] 
           + mt[2][3]*new_mt[2][2] + mt[3][3]*new_mt[2][3];
 mt[3][3] =  mt[0][3]*new_mt[3][0] + mt[1][3]*new_mt[3][1] 
           + mt[2][3]*new_mt[3][2] + mt[3][3]*new_mt[3][3];
 mt[2][3] =  t2;
 mt[1][3] =  t1;
 mt[0][3] =  t0;
}

/*
** ---------------------------------------------------------------
** Public class functions:
*/
/*======================  T3d::Transform  ========================*/

void T3d::Transform( double* x, double* y, double* z )
{
 double r, s, t, h;

  r = mt[0][0]*(*x)+mt[0][1]*(*y)+mt[0][2]*(*z)+mt[0][3];
  s = mt[1][0]*(*x)+mt[1][1]*(*y)+mt[1][2]*(*z)+mt[1][3];
  t = mt[2][0]*(*x)+mt[2][1]*(*y)+mt[2][2]*(*z)+mt[2][3];
  h = mt[3][0]*(*x)+mt[3][1]*(*y)+mt[3][2]*(*z)+mt[3][3];
 *x = r/h;
 *y = s/h;
 *z = t/h;
}

/*======================  T3d::Identity  ========================= */

void T3d::Identity( void )
{
 mt[0][0] = 1.0; mt[0][1] = 0.0; mt[0][2] = 0.0; mt[0][3] = 0.0;
 mt[1][0] = 0.0; mt[1][1] = 1.0; mt[1][2] = 0.0; mt[1][3] = 0.0;
 mt[2][0] = 0.0; mt[2][1] = 0.0; mt[2][2] = 1.0; mt[2][3] = 0.0;
 mt[3][0] = 0.0; mt[3][1] = 0.0; mt[3][2] = 0.0; mt[3][3] = 1.0;
}

/*=========================  T3d::Scale  =========================*/

void T3d::Scale( double sx, double sy, double sz )
{
 double scale[4][4];

/*** COMPLETE AQUI: T3D-01 ***/




/*** COMPLETE AQUI: T3D-01 ***/

 Accumulate( scale );
}

/*=======================  T3d::Translate  =======================*/

void T3d::Translate( double tx, double ty, double tz )
{
 double trans[4][4];

/*** COMPLETE AQUI: T3D-02 ***/




/*** COMPLETE AQUI: T3D-02 ***/

 Accumulate( trans );
}

/*======================  T3d::RotateBasis  ======================*/

void T3d::RotateBasis( double ux, double uy, double uz, 
                       double vx, double vy, double vz,
                       double wx, double wy, double wz )
{
 double rot[4][4];

/*** COMPLETE AQUI: T3D-03 ***/




/*** COMPLETE AQUI: T3D-03 ***/

 Accumulate( rot );
}

/*=========================  T3d::Camera  ========================*/

void T3d::Camera( double eyex, double eyey, double eyez, 
                  double refx, double refy, double refz,
                  double vupx, double vupy, double vupz )
{
 Vec  view, upvec;   /* view vector and view upper vector */
 Vec  u, v, w;       /* eye system unit vectors           */

/* Define view vector (from ref to eye) and view up vector.
 */
/*** COMPLETE AQUI: T3D-04 ***/






/*** COMPLETE AQUI: T3D-04 ***/

/* Find the eye system unit vectors.
 */
/*** COMPLETE AQUI: T3D-05 ***/







/*** COMPLETE AQUI: T3D-05 ***/

/* Concatenate a translation of basis from origin to eye point.
 */
/*** COMPLETE AQUI: T3D-06 ***/

/*** COMPLETE AQUI: T3D-06 ***/

/* Concatenate a rotation of basis from world to eye system.
 */
/*** COMPLETE AQUI: T3D-07 ***/

/*** COMPLETE AQUI: T3D-07 ***/
}

/*======================  T3d::Perspective  ======================*/

void T3d::Perspective( double d, double front, double back )
{
 double alpha, beta;        /* perspective parameters */
 double pers[4][4];

/* Define alpha and beta parameters from the front and back
 * arguments.
 */
/*** COMPLETE AQUI: T3D-08 ***/


/*** COMPLETE AQUI: T3D-08 ***/

/* Create Perspective matrix.
 */
/*** COMPLETE AQUI: T3D-09 ***/




/*** COMPLETE AQUI: T3D-09 ***/

 Accumulate( pers );
}

/*=====================  T3d::NormalizeView  =====================*/

void T3d::NormalizeView( double left, double right, 
                         double bottom, double top, 
                         double front, double back )
{
 double tx, ty, tz;           /* translation factors */
 double sx, sy, sz;           /* scaling factors     */

/* Concatenate a translation of basis from origin to center
 * of view volume.
 */
/*** COMPLETE AQUI: T3D-10 ***/




/*** COMPLETE AQUI: T3D-10 ***/

/* Concatenate a scaling transformation that scales the view 
 * volume to a cube ranging from -1 to +1 in the 3 directions, 
 * also reverting the z-axis direction.
 */
/*** COMPLETE AQUI: T3D-11 ***/













/*** COMPLETE AQUI: T3D-11 ***/
}

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