progs/demos/shadow.c

/**
(c) Copyright 1993, Silicon Graphics, Inc.

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ELSE FOR ANY DIRECT, SPECIAL, INCIDENTAL, INDIRECT OR
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restrictions set forth in FAR 52.227.19(c)(2) or subparagraph
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*/

/* Taken from the projshadow.c - by Tom McReynolds, SGI */

/* Modified by David Bucciarelli */

/* Rendering shadows using projective shadows. */

#include <GL/glut.h>
#include "shadow.h"


enum {
  X, Y, Z, W
};
enum {
  A, B, C, D
};

/* create a matrix that will project the desired shadow */
void
shadowmatrix(GLfloat shadowMat[4][4],
  GLfloat groundplane[4],
  GLfloat lightpos[4])
{
  GLfloat dot;

  /* find dot product between light position vector and ground plane normal */
  dot = groundplane[X] * lightpos[X] +
    groundplane[Y] * lightpos[Y] +
    groundplane[Z] * lightpos[Z] +
    groundplane[W] * lightpos[W];

  shadowMat[0][0] = dot - lightpos[X] * groundplane[X];
  shadowMat[1][0] = 0.f - lightpos[X] * groundplane[Y];
  shadowMat[2][0] = 0.f - lightpos[X] * groundplane[Z];
  shadowMat[3][0] = 0.f - lightpos[X] * groundplane[W];

  shadowMat[X][1] = 0.f - lightpos[Y] * groundplane[X];
  shadowMat[1][1] = dot - lightpos[Y] * groundplane[Y];
  shadowMat[2][1] = 0.f - lightpos[Y] * groundplane[Z];
  shadowMat[3][1] = 0.f - lightpos[Y] * groundplane[W];

  shadowMat[X][2] = 0.f - lightpos[Z] * groundplane[X];
  shadowMat[1][2] = 0.f - lightpos[Z] * groundplane[Y];
  shadowMat[2][2] = dot - lightpos[Z] * groundplane[Z];
  shadowMat[3][2] = 0.f - lightpos[Z] * groundplane[W];

  shadowMat[X][3] = 0.f - lightpos[W] * groundplane[X];
  shadowMat[1][3] = 0.f - lightpos[W] * groundplane[Y];
  shadowMat[2][3] = 0.f - lightpos[W] * groundplane[Z];
  shadowMat[3][3] = dot - lightpos[W] * groundplane[W];

}

/* find the plane equation given 3 points */
void
findplane(GLfloat plane[4],
  GLfloat v0[3], GLfloat v1[3], GLfloat v2[3])
{
  GLfloat vec0[3], vec1[3];

  /* need 2 vectors to find cross product */
  vec0[X] = v1[X] - v0[X];
  vec0[Y] = v1[Y] - v0[Y];
  vec0[Z] = v1[Z] - v0[Z];

  vec1[X] = v2[X] - v0[X];
  vec1[Y] = v2[Y] - v0[Y];
  vec1[Z] = v2[Z] - v0[Z];

  /* find cross product to get A, B, and C of plane equation */
  plane[A] = vec0[Y] * vec1[Z] - vec0[Z] * vec1[Y];
  plane[B] = -(vec0[X] * vec1[Z] - vec0[Z] * vec1[X]);
  plane[C] = vec0[X] * vec1[Y] - vec0[Y] * vec1[X];

  plane[D] = -(plane[A] * v0[X] + plane[B] * v0[Y] + plane[C] * v0[Z]);
}