/*!
Interpolates between camera orientations
\pre p_up2, p_dir2 != NULL; *p_up2 is the target up vector;
*p_dir2 is the target view direction
\arg \c up1 original up vector
\arg \c dir1 original view direction
\arg \c p_up2 pointer to target up vector; is overwritten with
interpolated up vector
\arg \c p_dir2 pointer to target view direction; is overwritten with
interpolated view direction
\arg \c dt time step
\arg \c time_constant interpolation time constant
\return none
\author jfpatry
\date Created: 2000-08-26
\date Modified: 2000-08-26
*/
void interpolate_view_frame( vector_t up1, vector_t dir1,
vector_t *p_up2, vector_t *p_dir2,
scalar_t dt, scalar_t time_constant )
{
quaternion_t q1, q2;
scalar_t alpha;
vector_t x1, y1, z1;
vector_t x2, y2, z2;
matrixgl_t cob_mat1, inv_cob_mat1;
matrixgl_t cob_mat2, inv_cob_mat2;
/* Now interpolate between camera orientations */
z1 = scale_vector( -1.0, dir1 );
normalize_vector( &z1 );
y1 = project_into_plane( z1, up1 );
normalize_vector( &y1 );
x1 = cross_product( y1, z1 );
make_change_of_basis_matrix( cob_mat1, inv_cob_mat1,
x1, y1, z1 );
q1 = make_quaternion_from_matrix( cob_mat1 );
z2 = scale_vector( -1.0, *p_dir2 );
normalize_vector( &z2 );
y2 = project_into_plane( z2, *p_up2 );
normalize_vector( &y2 );
x2 = cross_product( y2, z2 );
make_change_of_basis_matrix( cob_mat2, inv_cob_mat2,
x2, y2, z2 );
q2 = make_quaternion_from_matrix( cob_mat2 );
alpha = min( MAX_INTERPOLATION_VALUE,
1.0 - exp( -dt / time_constant ) );
q2 = interpolate_quaternions( q1, q2, alpha );
make_matrix_from_quaternion( cob_mat2, q2 );
p_up2->x = cob_mat2[1][0];
p_up2->y = cob_mat2[1][1];
p_up2->z = cob_mat2[1][2];
p_dir2->x = -cob_mat2[2][0];
p_dir2->y = -cob_mat2[2][1];
p_dir2->z = -cob_mat2[2][2];
}
void update_view( player_data_t *plyr, scalar_t dt )
{
point_t view_pt;
vector_t view_dir, up_dir, vel_dir, view_vec;
scalar_t ycoord;
scalar_t course_angle;
vector_t axis;
matrixgl_t rot_mat;
vector_t y_vec;
vector_t mz_vec;
vector_t vel_proj;
quaternion_t rot_quat;
scalar_t speed;
vector_t vel_cpy;
scalar_t time_constant_mult;
vel_cpy = plyr->vel;
speed = normalize_vector( &vel_cpy );
time_constant_mult = 1.0 /
min( 1.0,
max( 0.0,
( speed - NO_INTERPOLATION_SPEED ) /
( BASELINE_INTERPOLATION_SPEED - NO_INTERPOLATION_SPEED )));
up_dir = make_vector( 0, 1, 0 );
vel_dir = plyr->vel;
normalize_vector( &vel_dir );
course_angle = get_course_angle();
switch( plyr->view.mode ) {
case TUXEYE:
{
scalar_t f = 2;
vector_t v = plyr->plane_nml;
scalar_t n = 1.;
view_pt = plyr->pos;
view_pt.x += v.x / n * 0.3;
view_pt.y += v.y / n * 0.3;
view_pt.y += 0.1;
view_pt.z += v.z / n * 0.3;
if(plyr->control.flip_factor || plyr->control.barrel_roll_factor) {
matrixgl_t mat1, mat;
vector_t right;
scalar_t n = sqrt(plyr->viewdir_for_tuxeye.x * plyr->viewdir_for_tuxeye.x + plyr->viewdir_for_tuxeye.y * plyr->viewdir_for_tuxeye.y + plyr->viewdir_for_tuxeye.z * plyr->viewdir_for_tuxeye.z);
plyr->viewdir_for_tuxeye.x /= n;
plyr->viewdir_for_tuxeye.y /= n;
plyr->viewdir_for_tuxeye.z /= n;
n = sqrt(plyr->updir_for_tuxeye.x * plyr->updir_for_tuxeye.x + plyr->updir_for_tuxeye.y * plyr->updir_for_tuxeye.y + plyr->updir_for_tuxeye.z * plyr->updir_for_tuxeye.z);
plyr->updir_for_tuxeye.x /= n;
plyr->updir_for_tuxeye.y /= n;
plyr->updir_for_tuxeye.z /= n;
right = cross_product(plyr->updir_for_tuxeye, plyr->viewdir_for_tuxeye);
make_rotation_about_vector_matrix( mat1, right, jump_from_time(plyr->control.flip_factor) * 360 );
make_rotation_about_vector_matrix( mat, plyr->viewdir_for_tuxeye, jump_from_time(plyr->control.barrel_roll_factor) * 360 );
multiply_matrices(mat, mat1, mat);
view_dir = transform_vector(mat, plyr->viewdir_for_tuxeye);
up_dir = transform_vector(mat, plyr->updir_for_tuxeye);
}
else {
view_dir = plyr->direction;
view_dir.y += 0.1;
view_dir.x = (plyr->view.dir.x * f + view_dir.x) / (f + 1);
view_dir.y = (plyr->view.dir.y * f + view_dir.y) / (f + 1);
view_dir.z = (plyr->view.dir.z * f + view_dir.z) / (f + 1);
plyr->viewdir_for_tuxeye = view_dir;
up_dir = plyr->plane_nml;
up_dir.x = (plyr->view.up.x * f + up_dir.x) / (f + 1);
up_dir.y = (plyr->view.up.y * f + up_dir.y) / (f + 1);
up_dir.z = (plyr->view.up.z * f + up_dir.z) / (f + 1);
plyr->updir_for_tuxeye = up_dir;
}
break;
}
case BEHIND:
{
/* Camera-on-a-string mode */
/* Construct vector from player to camera */
view_vec = make_vector( 0,
sin( ANGLES_TO_RADIANS(
course_angle -
CAMERA_ANGLE_ABOVE_SLOPE +
PLAYER_ANGLE_IN_CAMERA ) ),
cos( ANGLES_TO_RADIANS(
course_angle -
CAMERA_ANGLE_ABOVE_SLOPE +
PLAYER_ANGLE_IN_CAMERA ) ) );
view_vec = scale_vector( CAMERA_DISTANCE, view_vec );
y_vec = make_vector( 0.0, 1.0, 0.0 );
mz_vec = make_vector( 0.0, 0.0, -1.0 );
vel_proj = project_into_plane( y_vec, vel_dir );
normalize_vector( &vel_proj );
/* Rotate view_vec so that it places the camera behind player */
rot_quat = make_rotation_quaternion( mz_vec, vel_proj );
view_vec = rotate_vector( rot_quat, view_vec );
/* Construct view point */
view_pt = move_point( plyr->pos, view_vec );
/* Make sure view point is above terrain */
ycoord = find_y_coord( view_pt.x, view_pt.z );
if ( view_pt.y < ycoord + MIN_CAMERA_HEIGHT ) {
view_pt.y = ycoord + MIN_CAMERA_HEIGHT;
}
/* Interpolate view point */
if ( plyr->view.initialized ) {
/* Interpolate twice to get a second-order filter */
int i;
for (i=0; i<2; i++) {
view_pt =
interpolate_view_pos( plyr->pos, plyr->pos,
MAX_CAMERA_PITCH, plyr->view.pos,
view_pt, CAMERA_DISTANCE, dt,
BEHIND_ORBIT_TIME_CONSTANT *
time_constant_mult );
}
}
/* Make sure interpolated view point is above terrain */
ycoord = find_y_coord( view_pt.x, view_pt.z );
if ( view_pt.y < ycoord + ABSOLUTE_MIN_CAMERA_HEIGHT ) {
view_pt.y = ycoord + ABSOLUTE_MIN_CAMERA_HEIGHT;
}
/* Construct view direction */
view_vec = subtract_points( view_pt, plyr->pos );
axis = cross_product( y_vec, view_vec );
normalize_vector( &axis );
make_rotation_about_vector_matrix( rot_mat, axis,
PLAYER_ANGLE_IN_CAMERA );
view_dir = scale_vector( -1.0,
transform_vector( rot_mat, view_vec ) );
/* Interpolate orientation of camera */
if ( plyr->view.initialized ) {
/* Interpolate twice to get a second-order filter */
int i;
for (i=0; i<2; i++) {
interpolate_view_frame( plyr->view.up, plyr->view.dir,
&up_dir, &view_dir, dt,
BEHIND_ORIENT_TIME_CONSTANT );
up_dir = make_vector( 0.0, 1.0, 0.0 );
}
}
break;
}
case FOLLOW:
{
/* Camera follows player (above and behind) */
up_dir = make_vector( 0, 1, 0 );
/* Construct vector from player to camera */
view_vec = make_vector( 0,
sin( ANGLES_TO_RADIANS(
course_angle -
CAMERA_ANGLE_ABOVE_SLOPE +
PLAYER_ANGLE_IN_CAMERA ) ),
cos( ANGLES_TO_RADIANS(
course_angle -
CAMERA_ANGLE_ABOVE_SLOPE +
PLAYER_ANGLE_IN_CAMERA ) ) );
view_vec = scale_vector( CAMERA_DISTANCE, view_vec );
y_vec = make_vector( 0.0, 1.0, 0.0 );
mz_vec = make_vector( 0.0, 0.0, -1.0 );
vel_proj = project_into_plane( y_vec, vel_dir );
normalize_vector( &vel_proj );
/* Rotate view_vec so that it places the camera behind player */
rot_quat = make_rotation_quaternion( mz_vec, vel_proj );
view_vec = rotate_vector( rot_quat, view_vec );
/* Construct view point */
view_pt = move_point( plyr->pos, view_vec );
/* Make sure view point is above terrain */
ycoord = find_y_coord( view_pt.x, view_pt.z );
if ( view_pt.y < ycoord + MIN_CAMERA_HEIGHT ) {
view_pt.y = ycoord + MIN_CAMERA_HEIGHT;
}
/* Interpolate view point */
if ( plyr->view.initialized ) {
/* Interpolate twice to get a second-order filter */
int i;
for ( i=0; i<2; i++ ) {
view_pt =
interpolate_view_pos( plyr->view.plyr_pos, plyr->pos,
MAX_CAMERA_PITCH, plyr->view.pos,
view_pt, CAMERA_DISTANCE, dt,
FOLLOW_ORBIT_TIME_CONSTANT *
time_constant_mult );
}
}
/* Make sure interpolate view point is above terrain */
ycoord = find_y_coord( view_pt.x, view_pt.z );
if ( view_pt.y < ycoord + ABSOLUTE_MIN_CAMERA_HEIGHT ) {
view_pt.y = ycoord + ABSOLUTE_MIN_CAMERA_HEIGHT;
}
/* Construct view direction */
view_vec = subtract_points( view_pt, plyr->pos );
axis = cross_product( y_vec, view_vec );
normalize_vector( &axis );
make_rotation_about_vector_matrix( rot_mat, axis,
PLAYER_ANGLE_IN_CAMERA );
view_dir = scale_vector( -1.0,
transform_vector( rot_mat, view_vec ) );
/* Interpolate orientation of camera */
if ( plyr->view.initialized ) {
/* Interpolate twice to get a second-order filter */
int i;
for ( i=0; i<2; i++ ) {
interpolate_view_frame( plyr->view.up, plyr->view.dir,
&up_dir, &view_dir, dt,
FOLLOW_ORIENT_TIME_CONSTANT );
up_dir = make_vector( 0.0, 1.0, 0.0 );
}
}
break;
}
case ABOVE:
{
/* Camera always uphill of player */
up_dir = make_vector( 0, 1, 0 );
/* Construct vector from player to camera */
view_vec = make_vector( 0,
sin( ANGLES_TO_RADIANS(
course_angle -
CAMERA_ANGLE_ABOVE_SLOPE+
PLAYER_ANGLE_IN_CAMERA ) ),
cos( ANGLES_TO_RADIANS(
course_angle -
CAMERA_ANGLE_ABOVE_SLOPE+
PLAYER_ANGLE_IN_CAMERA ) ) );
view_vec = scale_vector( CAMERA_DISTANCE, view_vec );
/* Construct view point */
view_pt = move_point( plyr->pos, view_vec );
/* Make sure view point is above terrain */
ycoord = find_y_coord( view_pt.x, view_pt.z );
if ( view_pt.y < ycoord + MIN_CAMERA_HEIGHT ) {
view_pt.y = ycoord + MIN_CAMERA_HEIGHT;
}
/* Construct view direction */
view_vec = subtract_points( view_pt, plyr->pos );
make_rotation_matrix( rot_mat, PLAYER_ANGLE_IN_CAMERA, 'x' );
view_dir = scale_vector( -1.0,
transform_vector( rot_mat, view_vec ) );
break;
}
default:
code_not_reached();
}
/* Create view matrix */
plyr->view.pos = view_pt;
plyr->view.dir = view_dir;
plyr->view.up = up_dir;
plyr->view.plyr_pos = plyr->pos;
plyr->view.initialized = True;
setup_view_matrix( plyr );
}
void draw_billboard( player_data_t *plyr,
point_t center_pt, scalar_t width, scalar_t height,
bool_t use_world_y_axis,
point2d_t min_tex_coord, point2d_t max_tex_coord )
{
point_t pt;
vector_t x_vec;
vector_t y_vec;
vector_t z_vec;
x_vec.x = plyr->view.inv_view_mat[0][0];
x_vec.y = plyr->view.inv_view_mat[0][1];
x_vec.z = plyr->view.inv_view_mat[0][2];
if ( use_world_y_axis ) {
y_vec = make_vector( 0, 1, 0 );
x_vec = project_into_plane( y_vec, x_vec );
normalize_vector( &x_vec );
z_vec = cross_product( x_vec, y_vec );
} else {
y_vec.x = plyr->view.inv_view_mat[1][0];
y_vec.y = plyr->view.inv_view_mat[1][1];
y_vec.z = plyr->view.inv_view_mat[1][2];
z_vec.x = plyr->view.inv_view_mat[2][0];
z_vec.y = plyr->view.inv_view_mat[2][1];
z_vec.z = plyr->view.inv_view_mat[2][2];
}
#ifdef __APPLE__DISABLED__
glNormal3f( z_vec.x, z_vec.y, z_vec.z );
pt = move_point( center_pt, scale_vector( -width/2.0, x_vec ) );
pt = move_point( pt, scale_vector( -height/2.0, y_vec ) );
point_t pt2 = move_point( pt, scale_vector( width, x_vec ) );
point_t pt3 = move_point( pt2, scale_vector( height, y_vec ) );
point_t pt4 = move_point( pt3, scale_vector( -width, x_vec ) );
const GLfloat vertices2 []=
{
pt.x, pt.y, pt.z,
pt2.x, pt2.y, pt2.z,
pt3.x, pt3.y, pt3.z,
pt4.x, pt4.y, pt4.z
};
const GLshort texCoords2 []=
{
min_tex_coord.x, min_tex_coord.y,
max_tex_coord.x, min_tex_coord.y,
max_tex_coord.x, max_tex_coord.y,
min_tex_coord.x, max_tex_coord.y,
};
glEnableClientState (GL_VERTEX_ARRAY);
glVertexPointer (3, GL_FLOAT , 0, vertices2);
glTexCoordPointer(2, GL_SHORT, 0, texCoords2);
glDrawArrays(GL_TRIANGLE_STRIP, 0, 4);
#else
glBegin( GL_QUADS );
{
pt = move_point( center_pt, scale_vector( -width/2.0, x_vec ) );
pt = move_point( pt, scale_vector( -height/2.0, y_vec ) );
glNormal3f( z_vec.x, z_vec.y, z_vec.z );
glTexCoord2f( min_tex_coord.x, min_tex_coord.y );
glVertex3f( pt.x, pt.y, pt.z );
pt = move_point( pt, scale_vector( width, x_vec ) );
glTexCoord2f( max_tex_coord.x, min_tex_coord.y );
glVertex3f( pt.x, pt.y, pt.z );
pt = move_point( pt, scale_vector( height, y_vec ) );
glTexCoord2f( max_tex_coord.x, max_tex_coord.y );
glVertex3f( pt.x, pt.y, pt.z );
pt = move_point( pt, scale_vector( -width, x_vec ) );
glTexCoord2f( min_tex_coord.x, max_tex_coord.y );
glVertex3f( pt.x, pt.y, pt.z );
}
glEnd();
#endif
}
