277 lines
8.8 KiB
Plaintext
277 lines
8.8 KiB
Plaintext
// Filename: frustum_src.I
|
|
// Created by: mike (09Jan97)
|
|
//
|
|
////////////////////////////////////////////////////////////////////
|
|
//
|
|
// PANDA 3D SOFTWARE
|
|
// Copyright (c) Carnegie Mellon University. All rights reserved.
|
|
//
|
|
// All use of this software is subject to the terms of the revised BSD
|
|
// license. You should have received a copy of this license along
|
|
// with this source code in a file named "LICENSE."
|
|
//
|
|
////////////////////////////////////////////////////////////////////
|
|
|
|
////////////////////////////////////////////////////////////////////
|
|
// Function: Constructor
|
|
// Access:
|
|
// Description:
|
|
////////////////////////////////////////////////////////////////////
|
|
INLINE_MATHUTIL FLOATNAME(LFrustum)::
|
|
FLOATNAME(LFrustum)() {
|
|
_fnear = FLOATCONST(1.4142);
|
|
_ffar = FLOATCONST(10.0);
|
|
_l = -1.0f;
|
|
_r = 1.0f;
|
|
_t = 1.0f;
|
|
_b = -1.0f;
|
|
}
|
|
|
|
////////////////////////////////////////////////////////////////////
|
|
// Function: make_ortho_2D
|
|
// Access:
|
|
// Description: Sets up a two-dimensional orthographic frustum
|
|
////////////////////////////////////////////////////////////////////
|
|
INLINE_MATHUTIL void FLOATNAME(LFrustum)::make_ortho_2D() {
|
|
make_ortho(-1.0f, 1.0f);
|
|
}
|
|
|
|
////////////////////////////////////////////////////////////////////
|
|
// Function: make_ortho_2D
|
|
// Access:
|
|
// Description: Sets up a two-dimensional orthographic frustum
|
|
////////////////////////////////////////////////////////////////////
|
|
INLINE_MATHUTIL void FLOATNAME(LFrustum)::
|
|
make_ortho_2D(FLOATTYPE l, FLOATTYPE r, FLOATTYPE t, FLOATTYPE b) {
|
|
make_ortho(-1.0f, 1.0f, l, r, t, b);
|
|
}
|
|
|
|
////////////////////////////////////////////////////////////////////
|
|
// Function: make_ortho_2D
|
|
// Access:
|
|
// Description: Behaves like gluOrtho
|
|
////////////////////////////////////////////////////////////////////
|
|
INLINE_MATHUTIL void FLOATNAME(LFrustum)::make_ortho(FLOATTYPE fnear, FLOATTYPE ffar) {
|
|
_fnear = fnear;
|
|
_ffar = ffar;
|
|
_l = -1.0f;
|
|
_r = 1.0f;
|
|
_t = 1.0f;
|
|
_b = -1.0f;
|
|
}
|
|
|
|
////////////////////////////////////////////////////////////////////
|
|
// Function: make_ortho_2D
|
|
// Access:
|
|
// Description: Behaves like gluOrtho
|
|
////////////////////////////////////////////////////////////////////
|
|
INLINE_MATHUTIL void FLOATNAME(LFrustum)::
|
|
make_ortho(FLOATTYPE fnear, FLOATTYPE ffar, FLOATTYPE l, FLOATTYPE r,
|
|
FLOATTYPE t, FLOATTYPE b) {
|
|
_fnear = fnear;
|
|
_ffar = ffar;
|
|
_l = l;
|
|
_r = r;
|
|
_t = t;
|
|
_b = b;
|
|
}
|
|
|
|
////////////////////////////////////////////////////////////////////
|
|
// Function: make_perspective
|
|
// Access:
|
|
// Description: Behaves like gluPerspective (Aspect = width/height,
|
|
// Yfov in degrees)
|
|
// aspect
|
|
// +------------+
|
|
// | |
|
|
// 1 | | yfov
|
|
// | |
|
|
// +------------+
|
|
//
|
|
// -------+------
|
|
// \ | /
|
|
// \ | /
|
|
// \ | /
|
|
// \ | /
|
|
// \ | /
|
|
// \|/
|
|
// W yfov
|
|
//
|
|
////////////////////////////////////////////////////////////////////
|
|
INLINE_MATHUTIL void FLOATNAME(LFrustum)::
|
|
make_perspective_hfov(FLOATTYPE hfov, FLOATTYPE aspect, FLOATTYPE fnear,
|
|
FLOATTYPE ffar) {
|
|
_fnear = fnear;
|
|
_ffar = ffar;
|
|
_r = tan(deg_2_rad(hfov) * FLOATCONST(0.5)) * _fnear;
|
|
_l = -_r;
|
|
_t = _r / aspect;
|
|
_b = -_t;
|
|
}
|
|
|
|
|
|
INLINE_MATHUTIL void FLOATNAME(LFrustum)::
|
|
make_perspective_vfov(FLOATTYPE yfov, FLOATTYPE aspect, FLOATTYPE fnear,
|
|
FLOATTYPE ffar) {
|
|
_fnear = fnear;
|
|
_ffar = ffar;
|
|
_t = tan(deg_2_rad(yfov) * 0.5f) * _fnear;
|
|
_b = -_t;
|
|
_r = _t * aspect;
|
|
_l = -_r;
|
|
}
|
|
|
|
|
|
INLINE_MATHUTIL void FLOATNAME(LFrustum)::
|
|
make_perspective(FLOATTYPE xfov, FLOATTYPE yfov, FLOATTYPE fnear,
|
|
FLOATTYPE ffar) {
|
|
_fnear = fnear;
|
|
_ffar = ffar;
|
|
_t = tan(deg_2_rad(yfov) * 0.5f) * _fnear;
|
|
_b = -_t;
|
|
_r = tan(deg_2_rad(xfov) * 0.5f) * _fnear;
|
|
_l = -_r;
|
|
}
|
|
|
|
////////////////////////////////////////////////////////////////////
|
|
// Function: get_perspective_params
|
|
// Access:
|
|
// Description:
|
|
////////////////////////////////////////////////////////////////////
|
|
INLINE_MATHUTIL void FLOATNAME(LFrustum)::
|
|
get_perspective_params(FLOATTYPE& yfov, FLOATTYPE& aspect,
|
|
FLOATTYPE& fnear, FLOATTYPE& ffar) const {
|
|
yfov = rad_2_deg(atan(_t / _fnear)) * 2.0f;
|
|
aspect = _r / _t;
|
|
fnear = _fnear;
|
|
ffar = _ffar;
|
|
}
|
|
|
|
////////////////////////////////////////////////////////////////////
|
|
// Function: get_perspective_params
|
|
// Access:
|
|
// Description:
|
|
////////////////////////////////////////////////////////////////////
|
|
INLINE_MATHUTIL void FLOATNAME(LFrustum)::
|
|
get_perspective_params(FLOATTYPE& xfov, FLOATTYPE& yfov, FLOATTYPE& aspect,
|
|
FLOATTYPE& fnear, FLOATTYPE& ffar) const {
|
|
xfov = rad_2_deg(atan(_r / _fnear)) * 2.0f;
|
|
get_perspective_params(yfov, aspect, fnear, ffar);
|
|
}
|
|
|
|
////////////////////////////////////////////////////////////////////
|
|
// Function: get_perspective_projection_mat
|
|
// Access: Public
|
|
// Description: This computes a transform matrix that performs the
|
|
// perspective transform defined by the frustum,
|
|
// accordinate to the indicated coordinate system.
|
|
////////////////////////////////////////////////////////////////////
|
|
INLINE_MATHUTIL FLOATNAME(LMatrix4) FLOATNAME(LFrustum)::
|
|
get_perspective_projection_mat(CoordinateSystem cs) const {
|
|
if (cs == CS_default) {
|
|
cs = get_default_coordinate_system();
|
|
}
|
|
|
|
FLOATTYPE recip_far_minus_near = 1.0f/(_ffar - _fnear);
|
|
FLOATTYPE recip_r_minus_l = 1.0f/(_r - _l);
|
|
FLOATTYPE recip_t_minus_b = 1.0f/(_t - _b);
|
|
FLOATTYPE two_fnear = 2.0f*_fnear;
|
|
|
|
FLOATTYPE d = (_r + _l) * recip_r_minus_l;
|
|
FLOATTYPE a = two_fnear * recip_r_minus_l;
|
|
FLOATTYPE e = two_fnear * recip_t_minus_b;
|
|
FLOATTYPE b = (_t + _b) * recip_t_minus_b;
|
|
FLOATTYPE c = (_ffar + _fnear) * recip_far_minus_near;
|
|
FLOATTYPE f = -_ffar * two_fnear * recip_far_minus_near;
|
|
|
|
/*
|
|
FLOATTYPE a = (2.0f * _fnear) / (_r - _l);
|
|
FLOATTYPE b = (_t + _b) / (_t - _b);
|
|
FLOATTYPE c = (_ffar + _fnear) / (_ffar - _fnear);
|
|
FLOATTYPE d = (_r + _l) / (_r - _l);
|
|
FLOATTYPE e = (2.0f * _fnear) / (_t - _b);
|
|
FLOATTYPE f = (-2.0f * _ffar * _fnear) / (_ffar - _fnear);
|
|
*/
|
|
|
|
switch (cs) {
|
|
case CS_zup_right:
|
|
return FLOATNAME(LMatrix4)( a, 0.0f, 0.0f, 0.0f,
|
|
0.0f, -b, c, 1.0f,
|
|
d, e, 0.0f, 0.0f,
|
|
0.0f, 0.0f, f, 0.0f);
|
|
|
|
case CS_yup_right:
|
|
return FLOATNAME(LMatrix4)( a, 0.0f, 0.0f, 0.0f,
|
|
0.0f, e, 0.0f, 0.0f,
|
|
d, b, -c,-1.0f,
|
|
0.0f, 0.0f, f, 0.0f);
|
|
|
|
case CS_zup_left:
|
|
return FLOATNAME(LMatrix4)::convert_mat(CS_zup_right, CS_zup_left) *
|
|
get_perspective_projection_mat(CS_zup_right);
|
|
|
|
case CS_yup_left:
|
|
return FLOATNAME(LMatrix4)::convert_mat(CS_yup_right, CS_yup_left) *
|
|
get_perspective_projection_mat(CS_yup_right);
|
|
|
|
default:
|
|
mathutil_cat.error()
|
|
<< "Invalid coordinate system!\n";
|
|
return FLOATNAME(LMatrix4)::ident_mat();
|
|
}
|
|
}
|
|
|
|
////////////////////////////////////////////////////////////////////
|
|
// Function: get_ortho_projection_mat
|
|
// Access: Public
|
|
// Description: This computes a transform matrix that performs the
|
|
// orthographic transform defined by the frustum,
|
|
// accordinate to the indicated coordinate system.
|
|
////////////////////////////////////////////////////////////////////
|
|
INLINE_MATHUTIL FLOATNAME(LMatrix4) FLOATNAME(LFrustum)::
|
|
get_ortho_projection_mat(CoordinateSystem cs) const {
|
|
if (cs == CS_default) {
|
|
cs = get_default_coordinate_system();
|
|
}
|
|
|
|
FLOATTYPE a = 2.0f / (_r - _l);
|
|
FLOATTYPE b = 2.0f / (_t - _b);
|
|
FLOATTYPE c = 2.0f / (_ffar - _fnear);
|
|
FLOATTYPE d = (_r + _l) * a * 0.5f;
|
|
FLOATTYPE e = (_t + _b) * b * 0.5f;
|
|
FLOATTYPE f = (_ffar + _fnear) * c * 0.5f;
|
|
|
|
/*
|
|
FLOATTYPE a = 2.0f / (_r - _l);
|
|
FLOATTYPE b = 2.0f / (_t - _b);
|
|
FLOATTYPE c = 2.0f / (_ffar - _fnear);
|
|
FLOATTYPE d = (_r + _l) / (_r + _l)
|
|
FLOATTYPE e = (_t + _b) / (_t - _b);
|
|
FLOATTYPE f = (_ffar + _fnear) / (_ffar - _fnear);
|
|
*/
|
|
switch (cs) {
|
|
case CS_zup_right:
|
|
return FLOATNAME(LMatrix4)::convert_mat(CS_yup_right, CS_zup_right) *
|
|
get_ortho_projection_mat(CS_yup_right);
|
|
|
|
case CS_yup_right:
|
|
return FLOATNAME(LMatrix4)( a, 0.0f, 0.0f, 0.0f,
|
|
0.0f, b, 0.0f, 0.0f,
|
|
0.0f, 0.0f, -c, 0.0f,
|
|
-d, -e, -f, 1.0f);
|
|
|
|
case CS_zup_left:
|
|
return FLOATNAME(LMatrix4)::convert_mat(CS_zup_right, CS_zup_left) *
|
|
get_ortho_projection_mat(CS_zup_right);
|
|
|
|
case CS_yup_left:
|
|
return FLOATNAME(LMatrix4)::convert_mat(CS_yup_right, CS_yup_left) *
|
|
get_ortho_projection_mat(CS_yup_right);
|
|
|
|
default:
|
|
mathutil_cat.error()
|
|
<< "Invalid coordinate system!\n";
|
|
return FLOATNAME(LMatrix4)::ident_mat();
|
|
}
|
|
}
|