// Frustum.cpp: implementation of the CFrustum class.
//
//////////////////////////////////////////////////////////////////////
#include "Frustum.h"
#include "gamehead.h"
//////////////////////////////////////////////////////////////////////
// Construction/Destruction
//////////////////////////////////////////////////////////////////////
CVector3 CFrustum::m_vPos;
CFrustum::CFrustum()
{
}
CFrustum::~CFrustum()
{
}
// We create an enum of the sides so we don't have to call each side 0 or 1.
// This way it makes it more understandable and readable when dealing with frustum sides.
///////////////////////////////// NORMALIZE PLANE \\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\*
/////
///// This normalizes a plane (A side) from a given frustum.
/////
///////////////////////////////// NORMALIZE PLANE \\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\*
void NormalizePlane(float frustum[6][4], int side)
{
// Here we calculate the magnitude of the normal to the plane (point A B C)
// Remember that (A, B, C) is that same thing as the normal's (X, Y, Z).
// To calculate magnitude you use the equation: magnitude = sqrt( x^2 + y^2 + z^2)
float magnitude = (float)sqrt( frustum[side][A] * frustum[side][A] +
frustum[side][B] * frustum[side][B] +
frustum[side][C] * frustum[side][C] );
// Then we divide the plane's values by it's magnitude.
// This makes it easier to work with.
frustum[side][A] /= magnitude;
frustum[side][B] /= magnitude;
frustum[side][C] /= magnitude;
frustum[side][D] /= magnitude;
}
///////////////////////////////// CALCULATE FRUSTUM \\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\*
/////
///// This extracts our frustum from the projection and modelview matrix.
/////
///////////////////////////////// CALCULATE FRUSTUM \\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\*
void CFrustum::CalculateFrustum(CVector3 &vPos)
{
m_vPos = vPos;
float proj[16]; // This will hold our projection matrix
float modl[16]; // This will hold our modelview matrix
float clip[16]; // This will hold the clipping planes
// glGetFloatv() is used to extract information about our OpenGL world.
// Below, we pass in GL_PROJECTION_MATRIX to abstract our projection matrix.
// It then stores the matrix into an array of [16].
glGetFloatv( GL_PROJECTION_MATRIX, proj );
// By passing in GL_MODELVIEW_MATRIX, we can abstract our model view matrix.
// This also stores it in an array of [16].
glGetFloatv( GL_MODELVIEW_MATRIX, modl );
// Now that we have our modelview and projection matrix, if we combine these 2 matrices,
// it will give us our clipping planes. To combine 2 matrices, we multiply them.
clip[ 0] = modl[ 0] * proj[ 0] + modl[ 1] * proj[ 4] + modl[ 2] * proj[ 8] + modl[ 3] * proj[12];
clip[ 1] = modl[ 0] * proj[ 1] + modl[ 1] * proj[ 5] + modl[ 2] * proj[ 9] + modl[ 3] * proj[13];
clip[ 2] = modl[ 0] * proj[ 2] + modl[ 1] * proj[ 6] + modl[ 2] * proj[10] + modl[ 3] * proj[14];
clip[ 3] = modl[ 0] * proj[ 3] + modl[ 1] * proj[ 7] + modl[ 2] * proj[11] + modl[ 3] * proj[15];
clip[ 4] = modl[ 4] * proj[ 0] + modl[ 5] * proj[ 4] + modl[ 6] * proj[ 8] + modl[ 7] * proj[12];
clip[ 5] = modl[ 4] * proj[ 1] + modl[ 5] * proj[ 5] + modl[ 6] * proj[ 9] + modl[ 7] * proj[13];
clip[ 6] = modl[ 4] * proj[ 2] + modl[ 5] * proj[ 6] + modl[ 6] * proj[10] + modl[ 7] * proj[14];
clip[ 7] = modl[ 4] * proj[ 3] + modl[ 5] * proj[ 7] + modl[ 6] * proj[11] + modl[ 7] * proj[15];
clip[ 8] = modl[ 8] * proj[ 0] + modl[ 9] * proj[ 4] + modl[10] * proj[ 8] + modl[11] * proj[12];
clip[ 9] = modl[ 8] * proj[ 1] + modl[ 9] * proj[ 5] + modl[10] * proj[ 9] + modl[11] * proj[13];
clip[10] = modl[ 8] * proj[ 2] + modl[ 9] * proj[ 6] + modl[10] * proj[10] + modl[11] * proj[14];
clip[11] = modl[ 8] * proj[ 3] + modl[ 9] * proj[ 7] + modl[10] * proj[11] + modl[11] * proj[15];
clip[12] = modl[12] * proj[ 0] + modl[13] * proj[ 4] + modl[14] * proj[ 8] + modl[15] * proj[12];
clip[13] = modl[12] * proj[ 1] + modl[13] * proj[ 5] + modl[14] * proj[ 9] + modl[15] * proj[13];
clip[14] = modl[12] * proj[ 2] + modl[13] * proj[ 6] + modl[14] * proj[10] + modl[15] * proj[14];
clip[15] = modl[12] * proj[ 3] + modl[13] * proj[ 7] + modl[14] * proj[11] + modl[15] * proj[15];
// Now we actually want to get the sides of the frustum. To do this we take
// the clipping planes we received above and extract the sides from them.
// This will extract the RIGHT side of the frustum
m_Frustum[RIGHT][A] = clip[ 3] - clip[ 0];
m_Frustum[RIGHT][B] = clip[ 7] - clip[ 4];
m_Frustum[RIGHT][C] = clip[11] - clip[ 8];
m_Frustum[RIGHT][D] = clip[15] - clip[12];
// Now that we have a normal (A,B,C) and a distance (D) to the plane,
// we want to normalize that normal and distance.
// Normalize the RIGHT side
NormalizePlane(m_Frustum, RIGHT);
// This will extract the LEFT side of the frustum
m_Frustum[LEFT][A] = clip[ 3] + clip[ 0];
m_Frustum[LEFT][B] = clip[ 7] + clip[ 4];
m_Frustum[LEFT][C] = clip[11] + clip[ 8];
m_Frustum[LEFT][D] = clip[15] + clip[12];
// Normalize the LEFT side
NormalizePlane(m_Frustum, LEFT);
// This will extract the BOTTOM side of the frustum
m_Frustum[BOTTOM][A] = clip[ 3] + clip[ 1];
m_Frustum[BOTTOM][B] = clip[ 7] + clip[ 5];
m_Frustum[BOTTOM][C] = clip[11] + clip[ 9];
m_Frustum[BOTTOM][D] = clip[15] + clip[13];
// Normalize the BOTTOM side
NormalizePlane(m_Frustum, BOTTOM);
// This will extract the TOP side of the frustum
m_Frustum[TOP][A] = clip[ 3] - clip[ 1];
m_Frustum[TOP][B] = clip[ 7] - clip[ 5];
m_Frustum[TOP][C] = clip[11] - clip[ 9];
m_Frustum[TOP][D] = clip[15] - clip[13];
// Normalize the TOP side
NormalizePlane(m_Frustum, TOP);
// This will extract the BACK side of the frustum
m_Frustum[BACK][A] = clip[ 3] - clip[ 2];
m_Frustum[BACK][B] = clip[ 7] - clip[ 6];
m_Frustum[BACK][C] = clip[11] - clip[10];
m_Frustum[BACK][D] = clip[15] - clip[14];
// Normalize the BACK side
NormalizePlane(m_Frustum, BACK);
// This will extract the FRONT side of the frustum
m_Frustum[FRONT][A] = clip[ 3] + clip[ 2];
m_Frustum[FRONT][B] = clip[ 7] + clip[ 6];
m_Frustum[FRONT][C] = clip[11] + clip[10];
m_Frustum[FRONT][D] = clip[15] + clip[14];
// Normalize the FRONT side
NormalizePlane(m_Frustum, FRONT);
}
// The code below will allow us to make checks within the frustum. For example,
// if we want to see if a point, a sphere, or a cube lies inside of the frustum.
// Because all of our planes point INWARDS (The normals are all pointing inside the frustum)
// we then can assume that if a point is in FRONT of all of the planes, it's inside.
///////////////////////////////// POINT IN FRUSTUM \\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\*
/////
///// This determines if a point is inside of the frustum
/////
///////////////////////////////// POINT IN FRUSTUM \\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\*
bool CFrustum::PointInFrustum( float x, float y, float z )
{
// If you remember the plane equation (A*x + B*y + C*z + D = 0), then the rest
// of this code should be quite obvious and easy to figure out yourself.
// In case don't know the plane equation, it might be a good idea to look
// at our Plane Collision tutorial at www.GameTutorials.com in OpenGL Tutorials.
// I will briefly go over it here. (A,B,C) is the (X,Y,Z) of the normal to the plane.
// They are the same thing... but just called ABC because you don't want to say:
// (x*x + y*y + z*z + d = 0). That would be wrong, so they substitute them.
// the (x, y, z) in the equation is the point that you are testing. The D is
// The distance the plane is from the origin. The equation ends with "= 0" because
// that is true when the point (x, y, z) is ON the plane. When the point is NOT on
// the plane, it is either a negative number (the point is behind the plane) or a
// positive number (the point is in fro
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