1131 lines
31 KiB
C++
1131 lines
31 KiB
C++
/**************************************************************************/
|
|
/* rendering_light_culler.cpp */
|
|
/**************************************************************************/
|
|
/* This file is part of: */
|
|
/* GODOT ENGINE */
|
|
/* https://godotengine.org */
|
|
/**************************************************************************/
|
|
/* Copyright (c) 2014-present Godot Engine contributors (see AUTHORS.md). */
|
|
/* Copyright (c) 2007-2014 Juan Linietsky, Ariel Manzur. */
|
|
/* */
|
|
/* Permission is hereby granted, free of charge, to any person obtaining */
|
|
/* a copy of this software and associated documentation files (the */
|
|
/* "Software"), to deal in the Software without restriction, including */
|
|
/* without limitation the rights to use, copy, modify, merge, publish, */
|
|
/* distribute, sublicense, and/or sell copies of the Software, and to */
|
|
/* permit persons to whom the Software is furnished to do so, subject to */
|
|
/* the following conditions: */
|
|
/* */
|
|
/* The above copyright notice and this permission notice shall be */
|
|
/* included in all copies or substantial portions of the Software. */
|
|
/* */
|
|
/* THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, */
|
|
/* EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF */
|
|
/* MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. */
|
|
/* IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY */
|
|
/* CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, */
|
|
/* TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE */
|
|
/* SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE. */
|
|
/**************************************************************************/
|
|
|
|
#include "rendering_light_culler.h"
|
|
|
|
#include "core/math/plane.h"
|
|
#include "core/math/projection.h"
|
|
#include "rendering_server_globals.h"
|
|
|
|
#ifdef RENDERING_LIGHT_CULLER_DEBUG_STRINGS
|
|
const char *RenderingLightCuller::Data::string_planes[] = {
|
|
"NEAR",
|
|
"FAR",
|
|
"LEFT",
|
|
"TOP",
|
|
"RIGHT",
|
|
"BOTTOM",
|
|
};
|
|
const char *RenderingLightCuller::Data::string_points[] = {
|
|
"FAR_LEFT_TOP",
|
|
"FAR_LEFT_BOTTOM",
|
|
"FAR_RIGHT_TOP",
|
|
"FAR_RIGHT_BOTTOM",
|
|
"NEAR_LEFT_TOP",
|
|
"NEAR_LEFT_BOTTOM",
|
|
"NEAR_RIGHT_TOP",
|
|
"NEAR_RIGHT_BOTTOM",
|
|
};
|
|
|
|
String RenderingLightCuller::Data::plane_bitfield_to_string(unsigned int BF) {
|
|
String sz;
|
|
|
|
for (int n = 0; n < 6; n++) {
|
|
unsigned int bit = 1 << n;
|
|
if (BF & bit) {
|
|
sz += String(string_planes[n]) + ", ";
|
|
}
|
|
}
|
|
|
|
return sz;
|
|
}
|
|
#endif
|
|
|
|
void RenderingLightCuller::prepare_directional_light(const RendererSceneCull::Instance *p_instance, int32_t p_directional_light_id) {
|
|
//data.directional_light = p_instance;
|
|
// Something is probably going wrong, we shouldn't have this many directional lights...
|
|
ERR_FAIL_COND(p_directional_light_id > 512);
|
|
DEV_ASSERT(p_directional_light_id >= 0);
|
|
|
|
// First make sure we have enough directional lights to hold this one.
|
|
if (p_directional_light_id >= (int32_t)data.directional_cull_planes.size()) {
|
|
data.directional_cull_planes.resize(p_directional_light_id + 1);
|
|
}
|
|
|
|
_prepare_light(*p_instance, p_directional_light_id);
|
|
}
|
|
|
|
bool RenderingLightCuller::_prepare_light(const RendererSceneCull::Instance &p_instance, int32_t p_directional_light_id) {
|
|
if (!data.is_active()) {
|
|
return true;
|
|
}
|
|
|
|
LightSource lsource;
|
|
switch (RSG::light_storage->light_get_type(p_instance.base)) {
|
|
case RS::LIGHT_SPOT:
|
|
lsource.type = LightSource::ST_SPOTLIGHT;
|
|
lsource.angle = RSG::light_storage->light_get_param(p_instance.base, RS::LIGHT_PARAM_SPOT_ANGLE);
|
|
lsource.range = RSG::light_storage->light_get_param(p_instance.base, RS::LIGHT_PARAM_RANGE);
|
|
break;
|
|
case RS::LIGHT_OMNI:
|
|
lsource.type = LightSource::ST_OMNI;
|
|
lsource.range = RSG::light_storage->light_get_param(p_instance.base, RS::LIGHT_PARAM_RANGE);
|
|
break;
|
|
case RS::LIGHT_DIRECTIONAL:
|
|
lsource.type = LightSource::ST_DIRECTIONAL;
|
|
// Could deal with a max directional shadow range here? NYI
|
|
// LIGHT_PARAM_SHADOW_MAX_DISTANCE
|
|
break;
|
|
}
|
|
|
|
lsource.pos = p_instance.transform.origin;
|
|
lsource.dir = -p_instance.transform.basis.get_column(2);
|
|
lsource.dir.normalize();
|
|
|
|
bool visible;
|
|
if (p_directional_light_id == -1) {
|
|
visible = _add_light_camera_planes(data.regular_cull_planes, lsource);
|
|
} else {
|
|
visible = _add_light_camera_planes(data.directional_cull_planes[p_directional_light_id], lsource);
|
|
}
|
|
|
|
if (data.light_culling_active) {
|
|
return visible;
|
|
}
|
|
return true;
|
|
}
|
|
|
|
bool RenderingLightCuller::cull_directional_light(const RendererSceneCull::InstanceBounds &p_bound, int32_t p_directional_light_id) {
|
|
if (!data.is_active() || !is_caster_culling_active()) {
|
|
return true;
|
|
}
|
|
|
|
ERR_FAIL_INDEX_V(p_directional_light_id, (int32_t)data.directional_cull_planes.size(), true);
|
|
|
|
LightCullPlanes &cull_planes = data.directional_cull_planes[p_directional_light_id];
|
|
|
|
Vector3 mins = Vector3(p_bound.bounds[0], p_bound.bounds[1], p_bound.bounds[2]);
|
|
Vector3 maxs = Vector3(p_bound.bounds[3], p_bound.bounds[4], p_bound.bounds[5]);
|
|
AABB bb(mins, maxs - mins);
|
|
|
|
real_t r_min, r_max;
|
|
for (int p = 0; p < cull_planes.num_cull_planes; p++) {
|
|
bb.project_range_in_plane(cull_planes.cull_planes[p], r_min, r_max);
|
|
if (r_min > 0.0f) {
|
|
#ifdef LIGHT_CULLER_DEBUG_DIRECTIONAL_LIGHT
|
|
cull_planes.rejected_count++;
|
|
#endif
|
|
|
|
return false;
|
|
}
|
|
}
|
|
|
|
return true;
|
|
}
|
|
|
|
void RenderingLightCuller::cull_regular_light(PagedArray<RendererSceneCull::Instance *> &r_instance_shadow_cull_result) {
|
|
if (!data.is_active() || !is_caster_culling_active()) {
|
|
return;
|
|
}
|
|
|
|
// If the light is out of range, no need to check anything, just return 0 casters.
|
|
// Ideally an out of range light should not even be drawn AT ALL (no shadow map, no PCF etc).
|
|
if (data.out_of_range) {
|
|
return;
|
|
}
|
|
|
|
// Shorter local alias.
|
|
PagedArray<RendererSceneCull::Instance *> &list = r_instance_shadow_cull_result;
|
|
|
|
#ifdef LIGHT_CULLER_DEBUG_LOGGING
|
|
uint32_t count_before = r_instance_shadow_cull_result.size();
|
|
#endif
|
|
|
|
// Go through all the casters in the list (the list will hopefully shrink as we go).
|
|
for (int n = 0; n < (int)list.size(); n++) {
|
|
// World space aabb.
|
|
const AABB &bb = list[n]->transformed_aabb;
|
|
|
|
#ifdef LIGHT_CULLER_DEBUG_LOGGING
|
|
if (is_logging()) {
|
|
print_line("bb : " + String(bb));
|
|
}
|
|
#endif
|
|
|
|
real_t r_min, r_max;
|
|
bool show = true;
|
|
|
|
for (int p = 0; p < data.regular_cull_planes.num_cull_planes; p++) {
|
|
// As we only need r_min, could this be optimized?
|
|
bb.project_range_in_plane(data.regular_cull_planes.cull_planes[p], r_min, r_max);
|
|
|
|
#ifdef LIGHT_CULLER_DEBUG_LOGGING
|
|
if (is_logging()) {
|
|
print_line("\tplane " + itos(p) + " : " + String(data.regular_cull_planes.cull_planes[p]) + " r_min " + String(Variant(r_min)) + " r_max " + String(Variant(r_max)));
|
|
}
|
|
#endif
|
|
|
|
if (r_min > 0.0f) {
|
|
show = false;
|
|
break;
|
|
}
|
|
}
|
|
|
|
// Remove.
|
|
if (!show) {
|
|
list.remove_at_unordered(n);
|
|
|
|
// Repeat this element next iteration of the loop as it has been removed and replaced by the last.
|
|
n--;
|
|
|
|
#ifdef LIGHT_CULLER_DEBUG_REGULAR_LIGHT
|
|
data.regular_rejected_count++;
|
|
#endif
|
|
}
|
|
}
|
|
|
|
#ifdef LIGHT_CULLER_DEBUG_LOGGING
|
|
uint32_t removed = r_instance_shadow_cull_result.size() - count_before;
|
|
if (removed) {
|
|
if (((data.debug_count) % 60) == 0) {
|
|
print_line("[" + itos(data.debug_count) + "] linear cull before " + itos(count_before) + " after " + itos(r_instance_shadow_cull_result.size()));
|
|
}
|
|
}
|
|
#endif
|
|
}
|
|
|
|
void RenderingLightCuller::LightCullPlanes::add_cull_plane(const Plane &p) {
|
|
ERR_FAIL_COND(num_cull_planes >= MAX_CULL_PLANES);
|
|
cull_planes[num_cull_planes++] = p;
|
|
}
|
|
|
|
// Directional lights are different to points, as the origin is infinitely in the distance, so the plane third
|
|
// points are derived differently.
|
|
bool RenderingLightCuller::add_light_camera_planes_directional(LightCullPlanes &r_cull_planes, const LightSource &p_light_source) {
|
|
uint32_t lookup = 0;
|
|
r_cull_planes.num_cull_planes = 0;
|
|
|
|
// Directional light, we will use dot against the light direction to determine back facing planes.
|
|
for (int n = 0; n < 6; n++) {
|
|
float dot = data.frustum_planes[n].normal.dot(p_light_source.dir);
|
|
if (dot > 0.0f) {
|
|
lookup |= 1 << n;
|
|
|
|
// Add backfacing camera frustum planes.
|
|
r_cull_planes.add_cull_plane(data.frustum_planes[n]);
|
|
}
|
|
}
|
|
|
|
ERR_FAIL_COND_V(lookup >= LUT_SIZE, true);
|
|
|
|
// Deal with special case... if the light is INSIDE the view frustum (i.e. all planes face away)
|
|
// then we will add the camera frustum planes to clip the light volume .. there is no need to
|
|
// render shadow casters outside the frustum as shadows can never re-enter the frustum.
|
|
|
|
// Should never happen with directional light?? This may be able to be removed.
|
|
if (lookup == 63) {
|
|
r_cull_planes.num_cull_planes = 0;
|
|
for (int n = 0; n < data.frustum_planes.size(); n++) {
|
|
r_cull_planes.add_cull_plane(data.frustum_planes[n]);
|
|
}
|
|
|
|
return true;
|
|
}
|
|
|
|
// Each edge forms a plane.
|
|
#ifdef RENDERING_LIGHT_CULLER_CALCULATE_LUT
|
|
const LocalVector<uint8_t> &entry = _calculated_LUT[lookup];
|
|
|
|
// each edge forms a plane
|
|
int n_edges = entry.size() - 1;
|
|
#else
|
|
uint8_t *entry = &data.LUT_entries[lookup][0];
|
|
int n_edges = data.LUT_entry_sizes[lookup] - 1;
|
|
#endif
|
|
|
|
for (int e = 0; e < n_edges; e++) {
|
|
int i0 = entry[e];
|
|
int i1 = entry[e + 1];
|
|
const Vector3 &pt0 = data.frustum_points[i0];
|
|
const Vector3 &pt1 = data.frustum_points[i1];
|
|
|
|
// Create a third point from the light direction.
|
|
Vector3 pt2 = pt0 - p_light_source.dir;
|
|
|
|
// Create plane from 3 points.
|
|
Plane p(pt0, pt1, pt2);
|
|
r_cull_planes.add_cull_plane(p);
|
|
}
|
|
|
|
// Last to 0 edge.
|
|
if (n_edges) {
|
|
int i0 = entry[n_edges]; // Last.
|
|
int i1 = entry[0]; // First.
|
|
|
|
const Vector3 &pt0 = data.frustum_points[i0];
|
|
const Vector3 &pt1 = data.frustum_points[i1];
|
|
|
|
// Create a third point from the light direction.
|
|
Vector3 pt2 = pt0 - p_light_source.dir;
|
|
|
|
// Create plane from 3 points.
|
|
Plane p(pt0, pt1, pt2);
|
|
r_cull_planes.add_cull_plane(p);
|
|
}
|
|
|
|
#ifdef LIGHT_CULLER_DEBUG_LOGGING
|
|
if (is_logging()) {
|
|
print_line("lcam.pos is " + String(p_light_source.pos));
|
|
}
|
|
#endif
|
|
|
|
return true;
|
|
}
|
|
|
|
bool RenderingLightCuller::_add_light_camera_planes(LightCullPlanes &r_cull_planes, const LightSource &p_light_source) {
|
|
if (!data.is_active()) {
|
|
return true;
|
|
}
|
|
|
|
// We should have called prepare_camera before this.
|
|
ERR_FAIL_COND_V(data.frustum_planes.size() != 6, true);
|
|
|
|
switch (p_light_source.type) {
|
|
case LightSource::ST_SPOTLIGHT:
|
|
case LightSource::ST_OMNI:
|
|
break;
|
|
case LightSource::ST_DIRECTIONAL:
|
|
return add_light_camera_planes_directional(r_cull_planes, p_light_source);
|
|
break;
|
|
default:
|
|
return false; // not yet supported
|
|
break;
|
|
}
|
|
|
|
// Start with 0 cull planes.
|
|
r_cull_planes.num_cull_planes = 0;
|
|
data.out_of_range = false;
|
|
uint32_t lookup = 0;
|
|
|
|
// Find which of the camera planes are facing away from the light.
|
|
// We can also test for the situation where the light max range means it cannot
|
|
// affect the camera frustum. This is absolutely worth doing because it is relatively
|
|
// cheap, and if the entire light can be culled this can vastly improve performance
|
|
// (much more than just culling casters).
|
|
|
|
// POINT LIGHT (spotlight, omni)
|
|
// Instead of using dot product to compare light direction to plane, we can simply
|
|
// find out which side of the plane the camera is on. By definition this marks the point at which the plane
|
|
// becomes invisible.
|
|
|
|
// OMNIS
|
|
if (p_light_source.type == LightSource::ST_OMNI) {
|
|
for (int n = 0; n < 6; n++) {
|
|
float dist = data.frustum_planes[n].distance_to(p_light_source.pos);
|
|
if (dist < 0.0f) {
|
|
lookup |= 1 << n;
|
|
|
|
// Add backfacing camera frustum planes.
|
|
r_cull_planes.add_cull_plane(data.frustum_planes[n]);
|
|
} else {
|
|
// Is the light out of range?
|
|
// This is one of the tests. If the point source is more than range distance from a frustum plane, it can't
|
|
// be seen.
|
|
if (dist >= p_light_source.range) {
|
|
// If the light is out of range, no need to do anything else, everything will be culled.
|
|
data.out_of_range = true;
|
|
return false;
|
|
}
|
|
}
|
|
}
|
|
} else {
|
|
// SPOTLIGHTs, more complex to cull.
|
|
Vector3 pos_end = p_light_source.pos + (p_light_source.dir * p_light_source.range);
|
|
|
|
// This is the radius of the cone at distance 1.
|
|
float radius_at_dist_one = Math::tan(Math::deg_to_rad(p_light_source.angle));
|
|
|
|
// The worst case radius of the cone at the end point can be calculated
|
|
// (the radius will scale linearly with length along the cone).
|
|
float end_cone_radius = radius_at_dist_one * p_light_source.range;
|
|
|
|
for (int n = 0; n < 6; n++) {
|
|
float dist = data.frustum_planes[n].distance_to(p_light_source.pos);
|
|
if (dist < 0.0f) {
|
|
// Either the plane is backfacing or we are inside the frustum.
|
|
lookup |= 1 << n;
|
|
|
|
// Add backfacing camera frustum planes.
|
|
r_cull_planes.add_cull_plane(data.frustum_planes[n]);
|
|
} else {
|
|
// The light is in front of the plane.
|
|
|
|
// Is the light out of range?
|
|
if (dist >= p_light_source.range) {
|
|
data.out_of_range = true;
|
|
return false;
|
|
}
|
|
|
|
// For a spotlight, we can use an extra test
|
|
// at this point the cone start is in front of the plane...
|
|
// If the cone end point is further than the maximum possible distance to the plane
|
|
// we can guarantee that the cone does not cross the plane, and hence the cone
|
|
// is outside the frustum.
|
|
float dist_end = data.frustum_planes[n].distance_to(pos_end);
|
|
|
|
if (dist_end >= end_cone_radius) {
|
|
data.out_of_range = true;
|
|
return false;
|
|
}
|
|
}
|
|
}
|
|
}
|
|
|
|
// The lookup should be within the LUT, logic should prevent this.
|
|
ERR_FAIL_COND_V(lookup >= LUT_SIZE, true);
|
|
|
|
// Deal with special case... if the light is INSIDE the view frustum (i.e. all planes face away)
|
|
// then we will add the camera frustum planes to clip the light volume .. there is no need to
|
|
// render shadow casters outside the frustum as shadows can never re-enter the frustum.
|
|
if (lookup == 63) {
|
|
r_cull_planes.num_cull_planes = 0;
|
|
for (int n = 0; n < data.frustum_planes.size(); n++) {
|
|
r_cull_planes.add_cull_plane(data.frustum_planes[n]);
|
|
}
|
|
|
|
return true;
|
|
}
|
|
|
|
// Each edge forms a plane.
|
|
uint8_t *entry = &data.LUT_entries[lookup][0];
|
|
int n_edges = data.LUT_entry_sizes[lookup] - 1;
|
|
|
|
const Vector3 &pt2 = p_light_source.pos;
|
|
|
|
for (int e = 0; e < n_edges; e++) {
|
|
int i0 = entry[e];
|
|
int i1 = entry[e + 1];
|
|
const Vector3 &pt0 = data.frustum_points[i0];
|
|
const Vector3 &pt1 = data.frustum_points[i1];
|
|
|
|
if (!_is_colinear_tri(pt0, pt1, pt2)) {
|
|
// Create plane from 3 points.
|
|
Plane p(pt0, pt1, pt2);
|
|
r_cull_planes.add_cull_plane(p);
|
|
}
|
|
}
|
|
|
|
// Last to 0 edge.
|
|
if (n_edges) {
|
|
int i0 = entry[n_edges]; // Last.
|
|
int i1 = entry[0]; // First.
|
|
|
|
const Vector3 &pt0 = data.frustum_points[i0];
|
|
const Vector3 &pt1 = data.frustum_points[i1];
|
|
|
|
if (!_is_colinear_tri(pt0, pt1, pt2)) {
|
|
// Create plane from 3 points.
|
|
Plane p(pt0, pt1, pt2);
|
|
r_cull_planes.add_cull_plane(p);
|
|
}
|
|
}
|
|
|
|
#ifdef LIGHT_CULLER_DEBUG_LOGGING
|
|
if (is_logging()) {
|
|
print_line("lsource.pos is " + String(p_light_source.pos));
|
|
}
|
|
#endif
|
|
|
|
return true;
|
|
}
|
|
|
|
bool RenderingLightCuller::prepare_camera(const Transform3D &p_cam_transform, const Projection &p_cam_matrix) {
|
|
data.debug_count++;
|
|
if (data.debug_count >= 120) {
|
|
data.debug_count = 0;
|
|
}
|
|
|
|
// For debug flash off and on.
|
|
#ifdef LIGHT_CULLER_DEBUG_FLASH
|
|
if (!Engine::get_singleton()->is_editor_hint()) {
|
|
int dc = Engine::get_singleton()->get_process_frames() / LIGHT_CULLER_DEBUG_FLASH_FREQUENCY;
|
|
bool bnew_active;
|
|
bnew_active = (dc % 2) == 0;
|
|
|
|
if (bnew_active != data.light_culling_active) {
|
|
data.light_culling_active = bnew_active;
|
|
print_line("switching light culler " + String(Variant(data.light_culling_active)));
|
|
}
|
|
}
|
|
#endif
|
|
|
|
if (!data.is_active()) {
|
|
return false;
|
|
}
|
|
|
|
// Get the camera frustum planes in world space.
|
|
data.frustum_planes = p_cam_matrix.get_projection_planes(p_cam_transform);
|
|
DEV_CHECK_ONCE(data.frustum_planes.size() == 6);
|
|
|
|
data.regular_cull_planes.num_cull_planes = 0;
|
|
|
|
#ifdef LIGHT_CULLER_DEBUG_DIRECTIONAL_LIGHT
|
|
if (is_logging()) {
|
|
for (uint32_t n = 0; n < data.directional_cull_planes.size(); n++) {
|
|
print_line("LightCuller directional light " + itos(n) + " rejected " + itos(data.directional_cull_planes[n].rejected_count) + " instances.");
|
|
}
|
|
}
|
|
#endif
|
|
#ifdef LIGHT_CULLER_DEBUG_REGULAR_LIGHT
|
|
if (data.regular_rejected_count) {
|
|
print_line("LightCuller regular lights rejected " + itos(data.regular_rejected_count) + " instances.");
|
|
}
|
|
data.regular_rejected_count = 0;
|
|
#endif
|
|
|
|
data.directional_cull_planes.resize(0);
|
|
|
|
#ifdef LIGHT_CULLER_DEBUG_LOGGING
|
|
if (is_logging()) {
|
|
for (int p = 0; p < 6; p++) {
|
|
print_line("plane " + itos(p) + " : " + String(data.frustum_planes[p]));
|
|
}
|
|
}
|
|
#endif
|
|
|
|
// We want to calculate the frustum corners in a specific order.
|
|
const Projection::Planes intersections[8][3] = {
|
|
{ Projection::PLANE_FAR, Projection::PLANE_LEFT, Projection::PLANE_TOP },
|
|
{ Projection::PLANE_FAR, Projection::PLANE_LEFT, Projection::PLANE_BOTTOM },
|
|
{ Projection::PLANE_FAR, Projection::PLANE_RIGHT, Projection::PLANE_TOP },
|
|
{ Projection::PLANE_FAR, Projection::PLANE_RIGHT, Projection::PLANE_BOTTOM },
|
|
{ Projection::PLANE_NEAR, Projection::PLANE_LEFT, Projection::PLANE_TOP },
|
|
{ Projection::PLANE_NEAR, Projection::PLANE_LEFT, Projection::PLANE_BOTTOM },
|
|
{ Projection::PLANE_NEAR, Projection::PLANE_RIGHT, Projection::PLANE_TOP },
|
|
{ Projection::PLANE_NEAR, Projection::PLANE_RIGHT, Projection::PLANE_BOTTOM },
|
|
};
|
|
|
|
for (int i = 0; i < 8; i++) {
|
|
// 3 plane intersection, gives us a point.
|
|
bool res = data.frustum_planes[intersections[i][0]].intersect_3(data.frustum_planes[intersections[i][1]], data.frustum_planes[intersections[i][2]], &data.frustum_points[i]);
|
|
|
|
// What happens with a zero frustum? NYI - deal with this.
|
|
ERR_FAIL_COND_V(!res, false);
|
|
|
|
#ifdef LIGHT_CULLER_DEBUG_LOGGING
|
|
if (is_logging()) {
|
|
print_line("point " + itos(i) + " -> " + String(data.frustum_points[i]));
|
|
}
|
|
#endif
|
|
}
|
|
|
|
return true;
|
|
}
|
|
|
|
RenderingLightCuller::RenderingLightCuller() {
|
|
// Used to determine which frame to give debug output.
|
|
data.debug_count = -1;
|
|
|
|
// Uncomment below to switch off light culler in the editor.
|
|
// data.caster_culling_active = Engine::get_singleton()->is_editor_hint() == false;
|
|
|
|
#ifdef RENDERING_LIGHT_CULLER_CALCULATE_LUT
|
|
create_LUT();
|
|
#endif
|
|
}
|
|
|
|
/* clang-format off */
|
|
uint8_t RenderingLightCuller::Data::LUT_entry_sizes[LUT_SIZE] = {0, 4, 4, 0, 4, 6, 6, 8, 4, 6, 6, 8, 6, 6, 6, 6, 4, 6, 6, 8, 0, 8, 8, 0, 6, 6, 6, 6, 8, 6, 6, 4, 4, 6, 6, 8, 6, 6, 6, 6, 0, 8, 8, 0, 8, 6, 6, 4, 6, 6, 6, 6, 8, 6, 6, 4, 8, 6, 6, 4, 0, 4, 4, 0, };
|
|
|
|
// The lookup table used to determine which edges form the silhouette of the camera frustum,
|
|
// depending on the viewing angle (defined by which camera planes are backward facing).
|
|
uint8_t RenderingLightCuller::Data::LUT_entries[LUT_SIZE][8] = {
|
|
{0, 0, 0, 0, 0, 0, 0, 0, },
|
|
{7, 6, 4, 5, 0, 0, 0, 0, },
|
|
{1, 0, 2, 3, 0, 0, 0, 0, },
|
|
{0, 0, 0, 0, 0, 0, 0, 0, },
|
|
{1, 5, 4, 0, 0, 0, 0, 0, },
|
|
{1, 5, 7, 6, 4, 0, 0, 0, },
|
|
{4, 0, 2, 3, 1, 5, 0, 0, },
|
|
{5, 7, 6, 4, 0, 2, 3, 1, },
|
|
{0, 4, 6, 2, 0, 0, 0, 0, },
|
|
{0, 4, 5, 7, 6, 2, 0, 0, },
|
|
{6, 2, 3, 1, 0, 4, 0, 0, },
|
|
{2, 3, 1, 0, 4, 5, 7, 6, },
|
|
{0, 1, 5, 4, 6, 2, 0, 0, },
|
|
{0, 1, 5, 7, 6, 2, 0, 0, },
|
|
{6, 2, 3, 1, 5, 4, 0, 0, },
|
|
{2, 3, 1, 5, 7, 6, 0, 0, },
|
|
{2, 6, 7, 3, 0, 0, 0, 0, },
|
|
{2, 6, 4, 5, 7, 3, 0, 0, },
|
|
{7, 3, 1, 0, 2, 6, 0, 0, },
|
|
{3, 1, 0, 2, 6, 4, 5, 7, },
|
|
{0, 0, 0, 0, 0, 0, 0, 0, },
|
|
{2, 6, 4, 0, 1, 5, 7, 3, },
|
|
{7, 3, 1, 5, 4, 0, 2, 6, },
|
|
{0, 0, 0, 0, 0, 0, 0, 0, },
|
|
{2, 0, 4, 6, 7, 3, 0, 0, },
|
|
{2, 0, 4, 5, 7, 3, 0, 0, },
|
|
{7, 3, 1, 0, 4, 6, 0, 0, },
|
|
{3, 1, 0, 4, 5, 7, 0, 0, },
|
|
{2, 0, 1, 5, 4, 6, 7, 3, },
|
|
{2, 0, 1, 5, 7, 3, 0, 0, },
|
|
{7, 3, 1, 5, 4, 6, 0, 0, },
|
|
{3, 1, 5, 7, 0, 0, 0, 0, },
|
|
{3, 7, 5, 1, 0, 0, 0, 0, },
|
|
{3, 7, 6, 4, 5, 1, 0, 0, },
|
|
{5, 1, 0, 2, 3, 7, 0, 0, },
|
|
{7, 6, 4, 5, 1, 0, 2, 3, },
|
|
{3, 7, 5, 4, 0, 1, 0, 0, },
|
|
{3, 7, 6, 4, 0, 1, 0, 0, },
|
|
{5, 4, 0, 2, 3, 7, 0, 0, },
|
|
{7, 6, 4, 0, 2, 3, 0, 0, },
|
|
{0, 0, 0, 0, 0, 0, 0, 0, },
|
|
{3, 7, 6, 2, 0, 4, 5, 1, },
|
|
{5, 1, 0, 4, 6, 2, 3, 7, },
|
|
{0, 0, 0, 0, 0, 0, 0, 0, },
|
|
{3, 7, 5, 4, 6, 2, 0, 1, },
|
|
{3, 7, 6, 2, 0, 1, 0, 0, },
|
|
{5, 4, 6, 2, 3, 7, 0, 0, },
|
|
{7, 6, 2, 3, 0, 0, 0, 0, },
|
|
{3, 2, 6, 7, 5, 1, 0, 0, },
|
|
{3, 2, 6, 4, 5, 1, 0, 0, },
|
|
{5, 1, 0, 2, 6, 7, 0, 0, },
|
|
{1, 0, 2, 6, 4, 5, 0, 0, },
|
|
{3, 2, 6, 7, 5, 4, 0, 1, },
|
|
{3, 2, 6, 4, 0, 1, 0, 0, },
|
|
{5, 4, 0, 2, 6, 7, 0, 0, },
|
|
{6, 4, 0, 2, 0, 0, 0, 0, },
|
|
{3, 2, 0, 4, 6, 7, 5, 1, },
|
|
{3, 2, 0, 4, 5, 1, 0, 0, },
|
|
{5, 1, 0, 4, 6, 7, 0, 0, },
|
|
{1, 0, 4, 5, 0, 0, 0, 0, },
|
|
{0, 0, 0, 0, 0, 0, 0, 0, },
|
|
{3, 2, 0, 1, 0, 0, 0, 0, },
|
|
{5, 4, 6, 7, 0, 0, 0, 0, },
|
|
{0, 0, 0, 0, 0, 0, 0, 0, },
|
|
};
|
|
|
|
/* clang-format on */
|
|
|
|
#ifdef RENDERING_LIGHT_CULLER_CALCULATE_LUT
|
|
|
|
// See e.g. http://lspiroengine.com/?p=153 for reference.
|
|
// Principles are the same, but differences to the article:
|
|
// * Order of planes / points is different in Godot.
|
|
// * We use a lookup table at runtime.
|
|
void RenderingLightCuller::create_LUT() {
|
|
// Each pair of planes that are opposite can have an edge.
|
|
for (int plane_0 = 0; plane_0 < PLANE_TOTAL; plane_0++) {
|
|
// For each neighbor of the plane.
|
|
PlaneOrder neighs[4];
|
|
get_neighbouring_planes((PlaneOrder)plane_0, neighs);
|
|
|
|
for (int n = 0; n < 4; n++) {
|
|
int plane_1 = neighs[n];
|
|
|
|
// If these are opposite we need to add the 2 points they share.
|
|
PointOrder pts[2];
|
|
get_corners_of_planes((PlaneOrder)plane_0, (PlaneOrder)plane_1, pts);
|
|
|
|
add_LUT(plane_0, plane_1, pts);
|
|
}
|
|
}
|
|
|
|
for (uint32_t n = 0; n < LUT_SIZE; n++) {
|
|
compact_LUT_entry(n);
|
|
}
|
|
|
|
debug_print_LUT();
|
|
debug_print_LUT_as_table();
|
|
}
|
|
|
|
// we can pre-create the entire LUT and store it hard coded as a static inside the executable!
|
|
// it is only small in size, 64 entries with max 8 bytes per entry
|
|
void RenderingLightCuller::debug_print_LUT_as_table() {
|
|
print_line("\nLIGHT VOLUME TABLE BEGIN\n");
|
|
|
|
print_line("Copy this to LUT_entry_sizes:\n");
|
|
String sz = "{";
|
|
for (int n = 0; n < LUT_SIZE; n++) {
|
|
const LocalVector<uint8_t> &entry = _calculated_LUT[n];
|
|
|
|
sz += itos(entry.size()) + ", ";
|
|
}
|
|
sz += "}";
|
|
print_line(sz);
|
|
print_line("\nCopy this to LUT_entries:\n");
|
|
|
|
for (int n = 0; n < LUT_SIZE; n++) {
|
|
const LocalVector<uint8_t> &entry = _calculated_LUT[n];
|
|
|
|
String sz = "{";
|
|
|
|
// First is the number of points in the entry.
|
|
int s = entry.size();
|
|
|
|
for (int p = 0; p < 8; p++) {
|
|
if (p < s)
|
|
sz += itos(entry[p]);
|
|
else
|
|
sz += "0"; // just a spacer
|
|
|
|
sz += ", ";
|
|
}
|
|
|
|
sz += "},";
|
|
print_line(sz);
|
|
}
|
|
|
|
print_line("\nLIGHT VOLUME TABLE END\n");
|
|
}
|
|
|
|
void RenderingLightCuller::debug_print_LUT() {
|
|
for (int n = 0; n < LUT_SIZE; n++) {
|
|
String sz;
|
|
sz = "LUT" + itos(n) + ":\t";
|
|
|
|
sz += Data::plane_bitfield_to_string(n);
|
|
print_line(sz);
|
|
|
|
const LocalVector<uint8_t> &entry = _calculated_LUT[n];
|
|
|
|
sz = "\t" + string_LUT_entry(entry);
|
|
|
|
print_line(sz);
|
|
}
|
|
}
|
|
|
|
String RenderingLightCuller::string_LUT_entry(const LocalVector<uint8_t> &p_entry) {
|
|
String string;
|
|
|
|
for (uint32_t n = 0; n < p_entry.size(); n++) {
|
|
uint8_t val = p_entry[n];
|
|
DEV_ASSERT(val < 8);
|
|
const char *sz_point = Data::string_points[val];
|
|
string += sz_point;
|
|
string += ", ";
|
|
}
|
|
|
|
return string;
|
|
}
|
|
|
|
String RenderingLightCuller::debug_string_LUT_entry(const LocalVector<uint8_t> &p_entry, bool p_pair) {
|
|
String string;
|
|
|
|
for (uint32_t i = 0; i < p_entry.size(); i++) {
|
|
int pt_order = p_entry[i];
|
|
if (p_pair && ((i % 2) == 0)) {
|
|
string += itos(pt_order) + "-";
|
|
} else {
|
|
string += itos(pt_order) + ", ";
|
|
}
|
|
}
|
|
|
|
return string;
|
|
}
|
|
|
|
void RenderingLightCuller::add_LUT(int p_plane_0, int p_plane_1, PointOrder p_pts[2]) {
|
|
// Note that some entries to the LUT will be "impossible" situations,
|
|
// because it contains all combinations of plane flips.
|
|
uint32_t bit0 = 1 << p_plane_0;
|
|
uint32_t bit1 = 1 << p_plane_1;
|
|
|
|
// All entries of the LUT that have plane 0 set and plane 1 not set.
|
|
for (uint32_t n = 0; n < 64; n++) {
|
|
// If bit0 not set...
|
|
if (!(n & bit0))
|
|
continue;
|
|
|
|
// If bit1 set...
|
|
if (n & bit1)
|
|
continue;
|
|
|
|
// Meets criteria.
|
|
add_LUT_entry(n, p_pts);
|
|
}
|
|
}
|
|
|
|
void RenderingLightCuller::add_LUT_entry(uint32_t p_entry_id, PointOrder p_pts[2]) {
|
|
DEV_ASSERT(p_entry_id < LUT_SIZE);
|
|
LocalVector<uint8_t> &entry = _calculated_LUT[p_entry_id];
|
|
|
|
entry.push_back(p_pts[0]);
|
|
entry.push_back(p_pts[1]);
|
|
}
|
|
|
|
void RenderingLightCuller::compact_LUT_entry(uint32_t p_entry_id) {
|
|
DEV_ASSERT(p_entry_id < LUT_SIZE);
|
|
LocalVector<uint8_t> &entry = _calculated_LUT[p_entry_id];
|
|
|
|
int num_pairs = entry.size() / 2;
|
|
|
|
if (num_pairs == 0)
|
|
return;
|
|
|
|
LocalVector<uint8_t> temp;
|
|
|
|
String string;
|
|
string = "Compact LUT" + itos(p_entry_id) + ":\t";
|
|
string += debug_string_LUT_entry(entry, true);
|
|
print_line(string);
|
|
|
|
// Add first pair.
|
|
temp.push_back(entry[0]);
|
|
temp.push_back(entry[1]);
|
|
unsigned int BFpairs = 1;
|
|
|
|
string = debug_string_LUT_entry(temp) + " -> ";
|
|
print_line(string);
|
|
|
|
// Attempt to add a pair each time.
|
|
for (int done = 1; done < num_pairs; done++) {
|
|
string = "done " + itos(done) + ": ";
|
|
// Find a free pair.
|
|
for (int p = 1; p < num_pairs; p++) {
|
|
unsigned int bit = 1 << p;
|
|
// Is it done already?
|
|
if (BFpairs & bit)
|
|
continue;
|
|
|
|
// There must be at least 1 free pair.
|
|
// Attempt to add.
|
|
int a = entry[p * 2];
|
|
int b = entry[(p * 2) + 1];
|
|
|
|
string += "[" + itos(a) + "-" + itos(b) + "], ";
|
|
|
|
int found_a = temp.find(a);
|
|
int found_b = temp.find(b);
|
|
|
|
// Special case, if they are both already in the list, no need to add
|
|
// as this is a link from the tail to the head of the list.
|
|
if ((found_a != -1) && (found_b != -1)) {
|
|
string += "foundAB link " + itos(found_a) + ", " + itos(found_b) + " ";
|
|
BFpairs |= bit;
|
|
goto found;
|
|
}
|
|
|
|
// Find a.
|
|
if (found_a != -1) {
|
|
string += "foundA " + itos(found_a) + " ";
|
|
temp.insert(found_a + 1, b);
|
|
BFpairs |= bit;
|
|
goto found;
|
|
}
|
|
|
|
// Find b.
|
|
if (found_b != -1) {
|
|
string += "foundB " + itos(found_b) + " ";
|
|
temp.insert(found_b, a);
|
|
BFpairs |= bit;
|
|
goto found;
|
|
}
|
|
|
|
} // Check each pair for adding.
|
|
|
|
// If we got here before finding a link, the whole set of planes is INVALID
|
|
// e.g. far and near plane only, does not create continuous sillouhette of edges.
|
|
print_line("\tINVALID");
|
|
entry.clear();
|
|
return;
|
|
|
|
found:;
|
|
print_line(string);
|
|
string = "\ttemp now : " + debug_string_LUT_entry(temp);
|
|
print_line(string);
|
|
}
|
|
|
|
// temp should now be the sorted entry .. delete the old one and replace by temp.
|
|
entry.clear();
|
|
entry = temp;
|
|
}
|
|
|
|
void RenderingLightCuller::get_neighbouring_planes(PlaneOrder p_plane, PlaneOrder r_neigh_planes[4]) const {
|
|
// Table of neighboring planes to each.
|
|
static const PlaneOrder neigh_table[PLANE_TOTAL][4] = {
|
|
{ // LSM_FP_NEAR
|
|
PLANE_LEFT,
|
|
PLANE_RIGHT,
|
|
PLANE_TOP,
|
|
PLANE_BOTTOM },
|
|
{ // LSM_FP_FAR
|
|
PLANE_LEFT,
|
|
PLANE_RIGHT,
|
|
PLANE_TOP,
|
|
PLANE_BOTTOM },
|
|
{ // LSM_FP_LEFT
|
|
PLANE_TOP,
|
|
PLANE_BOTTOM,
|
|
PLANE_NEAR,
|
|
PLANE_FAR },
|
|
{ // LSM_FP_TOP
|
|
PLANE_LEFT,
|
|
PLANE_RIGHT,
|
|
PLANE_NEAR,
|
|
PLANE_FAR },
|
|
{ // LSM_FP_RIGHT
|
|
PLANE_TOP,
|
|
PLANE_BOTTOM,
|
|
PLANE_NEAR,
|
|
PLANE_FAR },
|
|
{ // LSM_FP_BOTTOM
|
|
PLANE_LEFT,
|
|
PLANE_RIGHT,
|
|
PLANE_NEAR,
|
|
PLANE_FAR },
|
|
};
|
|
|
|
for (int n = 0; n < 4; n++) {
|
|
r_neigh_planes[n] = neigh_table[p_plane][n];
|
|
}
|
|
}
|
|
|
|
// Given two planes, returns the two points shared by those planes. The points are always
|
|
// returned in counter-clockwise order, assuming the first input plane is facing towards
|
|
// the viewer.
|
|
|
|
// param p_plane_a The plane facing towards the viewer.
|
|
// param p_plane_b A plane neighboring p_plane_a.
|
|
// param r_points An array of exactly two elements to be filled with the indices of the points
|
|
// on return.
|
|
|
|
void RenderingLightCuller::get_corners_of_planes(PlaneOrder p_plane_a, PlaneOrder p_plane_b, PointOrder r_points[2]) const {
|
|
static const PointOrder fp_table[PLANE_TOTAL][PLANE_TOTAL][2] = {
|
|
{
|
|
// LSM_FP_NEAR
|
|
{
|
|
// LSM_FP_NEAR
|
|
PT_NEAR_LEFT_TOP, PT_NEAR_RIGHT_TOP, // Invalid combination.
|
|
},
|
|
{
|
|
// LSM_FP_FAR
|
|
PT_FAR_RIGHT_TOP, PT_FAR_LEFT_TOP, // Invalid combination.
|
|
},
|
|
{
|
|
// LSM_FP_LEFT
|
|
PT_NEAR_LEFT_TOP,
|
|
PT_NEAR_LEFT_BOTTOM,
|
|
},
|
|
{
|
|
// LSM_FP_TOP
|
|
PT_NEAR_RIGHT_TOP,
|
|
PT_NEAR_LEFT_TOP,
|
|
},
|
|
{
|
|
// LSM_FP_RIGHT
|
|
PT_NEAR_RIGHT_BOTTOM,
|
|
PT_NEAR_RIGHT_TOP,
|
|
},
|
|
{
|
|
// LSM_FP_BOTTOM
|
|
PT_NEAR_LEFT_BOTTOM,
|
|
PT_NEAR_RIGHT_BOTTOM,
|
|
},
|
|
},
|
|
|
|
{
|
|
// LSM_FP_FAR
|
|
{
|
|
// LSM_FP_NEAR
|
|
PT_FAR_LEFT_TOP, PT_FAR_RIGHT_TOP, // Invalid combination.
|
|
},
|
|
{
|
|
// LSM_FP_FAR
|
|
PT_FAR_RIGHT_TOP, PT_FAR_LEFT_TOP, // Invalid combination.
|
|
},
|
|
{
|
|
// LSM_FP_LEFT
|
|
PT_FAR_LEFT_BOTTOM,
|
|
PT_FAR_LEFT_TOP,
|
|
},
|
|
{
|
|
// LSM_FP_TOP
|
|
PT_FAR_LEFT_TOP,
|
|
PT_FAR_RIGHT_TOP,
|
|
},
|
|
{
|
|
// LSM_FP_RIGHT
|
|
PT_FAR_RIGHT_TOP,
|
|
PT_FAR_RIGHT_BOTTOM,
|
|
},
|
|
{
|
|
// LSM_FP_BOTTOM
|
|
PT_FAR_RIGHT_BOTTOM,
|
|
PT_FAR_LEFT_BOTTOM,
|
|
},
|
|
},
|
|
|
|
{
|
|
// LSM_FP_LEFT
|
|
{
|
|
// LSM_FP_NEAR
|
|
PT_NEAR_LEFT_BOTTOM,
|
|
PT_NEAR_LEFT_TOP,
|
|
},
|
|
{
|
|
// LSM_FP_FAR
|
|
PT_FAR_LEFT_TOP,
|
|
PT_FAR_LEFT_BOTTOM,
|
|
},
|
|
{
|
|
// LSM_FP_LEFT
|
|
PT_FAR_LEFT_BOTTOM, PT_FAR_LEFT_BOTTOM, // Invalid combination.
|
|
},
|
|
{
|
|
// LSM_FP_TOP
|
|
PT_NEAR_LEFT_TOP,
|
|
PT_FAR_LEFT_TOP,
|
|
},
|
|
{
|
|
// LSM_FP_RIGHT
|
|
PT_FAR_LEFT_BOTTOM, PT_FAR_LEFT_BOTTOM, // Invalid combination.
|
|
},
|
|
{
|
|
// LSM_FP_BOTTOM
|
|
PT_FAR_LEFT_BOTTOM,
|
|
PT_NEAR_LEFT_BOTTOM,
|
|
},
|
|
},
|
|
|
|
{
|
|
// LSM_FP_TOP
|
|
{
|
|
// LSM_FP_NEAR
|
|
PT_NEAR_LEFT_TOP,
|
|
PT_NEAR_RIGHT_TOP,
|
|
},
|
|
{
|
|
// LSM_FP_FAR
|
|
PT_FAR_RIGHT_TOP,
|
|
PT_FAR_LEFT_TOP,
|
|
},
|
|
{
|
|
// LSM_FP_LEFT
|
|
PT_FAR_LEFT_TOP,
|
|
PT_NEAR_LEFT_TOP,
|
|
},
|
|
{
|
|
// LSM_FP_TOP
|
|
PT_NEAR_LEFT_TOP, PT_FAR_LEFT_TOP, // Invalid combination.
|
|
},
|
|
{
|
|
// LSM_FP_RIGHT
|
|
PT_NEAR_RIGHT_TOP,
|
|
PT_FAR_RIGHT_TOP,
|
|
},
|
|
{
|
|
// LSM_FP_BOTTOM
|
|
PT_FAR_LEFT_BOTTOM, PT_NEAR_LEFT_BOTTOM, // Invalid combination.
|
|
},
|
|
},
|
|
|
|
{
|
|
// LSM_FP_RIGHT
|
|
{
|
|
// LSM_FP_NEAR
|
|
PT_NEAR_RIGHT_TOP,
|
|
PT_NEAR_RIGHT_BOTTOM,
|
|
},
|
|
{
|
|
// LSM_FP_FAR
|
|
PT_FAR_RIGHT_BOTTOM,
|
|
PT_FAR_RIGHT_TOP,
|
|
},
|
|
{
|
|
// LSM_FP_LEFT
|
|
PT_FAR_RIGHT_BOTTOM, PT_FAR_RIGHT_BOTTOM, // Invalid combination.
|
|
},
|
|
{
|
|
// LSM_FP_TOP
|
|
PT_FAR_RIGHT_TOP,
|
|
PT_NEAR_RIGHT_TOP,
|
|
},
|
|
{
|
|
// LSM_FP_RIGHT
|
|
PT_FAR_RIGHT_BOTTOM, PT_FAR_RIGHT_BOTTOM, // Invalid combination.
|
|
},
|
|
{
|
|
// LSM_FP_BOTTOM
|
|
PT_NEAR_RIGHT_BOTTOM,
|
|
PT_FAR_RIGHT_BOTTOM,
|
|
},
|
|
},
|
|
|
|
// ==
|
|
|
|
// P_NEAR,
|
|
// P_FAR,
|
|
// P_LEFT,
|
|
// P_TOP,
|
|
// P_RIGHT,
|
|
// P_BOTTOM,
|
|
|
|
{
|
|
// LSM_FP_BOTTOM
|
|
{
|
|
// LSM_FP_NEAR
|
|
PT_NEAR_RIGHT_BOTTOM,
|
|
PT_NEAR_LEFT_BOTTOM,
|
|
},
|
|
{
|
|
// LSM_FP_FAR
|
|
PT_FAR_LEFT_BOTTOM,
|
|
PT_FAR_RIGHT_BOTTOM,
|
|
},
|
|
{
|
|
// LSM_FP_LEFT
|
|
PT_NEAR_LEFT_BOTTOM,
|
|
PT_FAR_LEFT_BOTTOM,
|
|
},
|
|
{
|
|
// LSM_FP_TOP
|
|
PT_NEAR_LEFT_BOTTOM, PT_FAR_LEFT_BOTTOM, // Invalid combination.
|
|
},
|
|
{
|
|
// LSM_FP_RIGHT
|
|
PT_FAR_RIGHT_BOTTOM,
|
|
PT_NEAR_RIGHT_BOTTOM,
|
|
},
|
|
{
|
|
// LSM_FP_BOTTOM
|
|
PT_FAR_LEFT_BOTTOM, PT_NEAR_LEFT_BOTTOM, // Invalid combination.
|
|
},
|
|
},
|
|
|
|
// ==
|
|
|
|
};
|
|
r_points[0] = fp_table[p_plane_a][p_plane_b][0];
|
|
r_points[1] = fp_table[p_plane_a][p_plane_b][1];
|
|
}
|
|
|
|
#endif
|