OpenGL Mathematics

#include <glm/glm.h>

using namespace glm;

enum
{
    PLANE_LEFT,
    PLANE_RIGHT,
    PLANE_BOTTOM,
    PLANE_TOP,
    PLANE_NEAR,
    PLANE_FAR,
    PLANE_MAX
};

vec4 planes[PLANE_MAX];

void createFrustumPlanes(const mat4& Model, const mat4& View, const mat4& Projection)
{
    mat4 mvp = transpose(Projection * View * Model);

    planes[PLANE_LEFT]   = normalize(mvp[3] + mvp[0]);
    planes[PLANE_RIGHT]  = normalize(mvp[3] - mvp[0]);
    planes[PLANE_BOTTOM] = normalize(mvp[3] + mvp[1]);
    planes[PLANE_TOP]    = normalize(mvp[3] - mvp[1]);
    planes[PLANE_NEAR]   = normalize(mvp[3] + mvp[2]);
    planes[PLANE_FAR]    = normalize(mvp[3] - mvp[2]);
}