godot/scene/resources/curve.cpp

1424 lines
39 KiB
C++

/*************************************************************************/
/* curve.cpp */
/*************************************************************************/
/* This file is part of: */
/* GODOT ENGINE */
/* https://godotengine.org */
/*************************************************************************/
/* Copyright (c) 2007-2018 Juan Linietsky, Ariel Manzur. */
/* Copyright (c) 2014-2018 Godot Engine contributors (cf. AUTHORS.md) */
/* */
/* 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 "curve.h"
#include "core_string_names.h"
template <class T>
static _FORCE_INLINE_ T _bezier_interp(real_t t, T start, T control_1, T control_2, T end) {
/* Formula from Wikipedia article on Bezier curves. */
real_t omt = (1.0 - t);
real_t omt2 = omt * omt;
real_t omt3 = omt2 * omt;
real_t t2 = t * t;
real_t t3 = t2 * t;
return start * omt3 + control_1 * omt2 * t * 3.0 + control_2 * omt * t2 * 3.0 + end * t3;
}
const char *Curve::SIGNAL_RANGE_CHANGED = "range_changed";
Curve::Curve() {
_bake_resolution = 100;
_baked_cache_dirty = false;
_min_value = 0;
_max_value = 1;
}
int Curve::add_point(Vector2 p_pos, real_t left_tangent, real_t right_tangent, TangentMode left_mode, TangentMode right_mode) {
// Add a point and preserve order
// Curve bounds is in 0..1
if (p_pos.x > MAX_X)
p_pos.x = MAX_X;
else if (p_pos.x < MIN_X)
p_pos.x = MIN_X;
int ret = -1;
if (_points.size() == 0) {
_points.push_back(Point(p_pos, left_tangent, right_tangent, left_mode, right_mode));
ret = 0;
} else if (_points.size() == 1) {
// TODO Is the `else` able to handle this block already?
real_t diff = p_pos.x - _points[0].pos.x;
if (diff > 0) {
_points.push_back(Point(p_pos, left_tangent, right_tangent, left_mode, right_mode));
ret = 1;
} else {
_points.insert(0, Point(p_pos, left_tangent, right_tangent, left_mode, right_mode));
ret = 0;
}
} else {
int i = get_index(p_pos.x);
if (i == 0 && p_pos.x < _points[0].pos.x) {
// Insert before anything else
_points.insert(0, Point(p_pos, left_tangent, right_tangent, left_mode, right_mode));
ret = 0;
} else {
// Insert between i and i+1
++i;
_points.insert(i, Point(p_pos, left_tangent, right_tangent, left_mode, right_mode));
ret = i;
}
}
update_auto_tangents(ret);
mark_dirty();
return ret;
}
int Curve::get_index(real_t offset) const {
// Lower-bound float binary search
int imin = 0;
int imax = _points.size() - 1;
while (imax - imin > 1) {
int m = (imin + imax) / 2;
real_t a = _points[m].pos.x;
real_t b = _points[m + 1].pos.x;
if (a < offset && b < offset) {
imin = m;
} else if (a > offset) {
imax = m;
} else {
return m;
}
}
// Will happen if the offset is out of bounds
if (offset > _points[imax].pos.x)
return imax;
return imin;
}
void Curve::clean_dupes() {
bool dirty = false;
for (int i = 1; i < _points.size(); ++i) {
real_t diff = _points[i - 1].pos.x - _points[i].pos.x;
if (diff <= CMP_EPSILON) {
_points.remove(i);
--i;
dirty = true;
}
}
if (dirty)
mark_dirty();
}
void Curve::set_point_left_tangent(int i, real_t tangent) {
ERR_FAIL_INDEX(i, _points.size());
_points[i].left_tangent = tangent;
_points[i].left_mode = TANGENT_FREE;
mark_dirty();
}
void Curve::set_point_right_tangent(int i, real_t tangent) {
ERR_FAIL_INDEX(i, _points.size());
_points[i].right_tangent = tangent;
_points[i].right_mode = TANGENT_FREE;
mark_dirty();
}
void Curve::set_point_left_mode(int i, TangentMode p_mode) {
ERR_FAIL_INDEX(i, _points.size());
_points[i].left_mode = p_mode;
if (i > 0) {
if (p_mode == TANGENT_LINEAR) {
Vector2 v = (_points[i - 1].pos - _points[i].pos).normalized();
_points[i].left_tangent = v.y / v.x;
}
}
mark_dirty();
}
void Curve::set_point_right_mode(int i, TangentMode p_mode) {
ERR_FAIL_INDEX(i, _points.size());
_points[i].right_mode = p_mode;
if (i + 1 < _points.size()) {
if (p_mode == TANGENT_LINEAR) {
Vector2 v = (_points[i + 1].pos - _points[i].pos).normalized();
_points[i].right_tangent = v.y / v.x;
}
}
mark_dirty();
}
real_t Curve::get_point_left_tangent(int i) const {
ERR_FAIL_INDEX_V(i, _points.size(), 0);
return _points[i].left_tangent;
}
real_t Curve::get_point_right_tangent(int i) const {
ERR_FAIL_INDEX_V(i, _points.size(), 0);
return _points[i].right_tangent;
}
Curve::TangentMode Curve::get_point_left_mode(int i) const {
ERR_FAIL_INDEX_V(i, _points.size(), TANGENT_FREE);
return _points[i].left_mode;
}
Curve::TangentMode Curve::get_point_right_mode(int i) const {
ERR_FAIL_INDEX_V(i, _points.size(), TANGENT_FREE);
return _points[i].right_mode;
}
void Curve::remove_point(int p_index) {
ERR_FAIL_INDEX(p_index, _points.size());
_points.remove(p_index);
mark_dirty();
}
void Curve::clear_points() {
_points.clear();
mark_dirty();
}
void Curve::set_point_value(int p_index, real_t pos) {
ERR_FAIL_INDEX(p_index, _points.size());
_points[p_index].pos.y = pos;
update_auto_tangents(p_index);
mark_dirty();
}
int Curve::set_point_offset(int p_index, float offset) {
ERR_FAIL_INDEX_V(p_index, _points.size(), -1);
Point p = _points[p_index];
remove_point(p_index);
int i = add_point(Vector2(offset, p.pos.y));
_points[i].left_tangent = p.left_tangent;
_points[i].right_tangent = p.right_tangent;
_points[i].left_mode = p.left_mode;
_points[i].right_mode = p.right_mode;
if (p_index != i)
update_auto_tangents(p_index);
update_auto_tangents(i);
return i;
}
Vector2 Curve::get_point_position(int p_index) const {
ERR_FAIL_INDEX_V(p_index, _points.size(), Vector2(0, 0));
return _points[p_index].pos;
}
Curve::Point Curve::get_point(int p_index) const {
ERR_FAIL_INDEX_V(p_index, _points.size(), Point());
return _points[p_index];
}
void Curve::update_auto_tangents(int i) {
Point &p = _points[i];
if (i > 0) {
if (p.left_mode == TANGENT_LINEAR) {
Vector2 v = (_points[i - 1].pos - p.pos).normalized();
p.left_tangent = v.y / v.x;
}
if (_points[i - 1].right_mode == TANGENT_LINEAR) {
Vector2 v = (_points[i - 1].pos - p.pos).normalized();
_points[i - 1].right_tangent = v.y / v.x;
}
}
if (i + 1 < _points.size()) {
if (p.right_mode == TANGENT_LINEAR && i + 1 < _points.size()) {
Vector2 v = (_points[i + 1].pos - p.pos).normalized();
p.right_tangent = v.y / v.x;
}
if (_points[i + 1].left_mode == TANGENT_LINEAR) {
Vector2 v = (_points[i + 1].pos - p.pos).normalized();
_points[i + 1].left_tangent = v.y / v.x;
}
}
}
#define MIN_Y_RANGE 0.01
void Curve::set_min_value(float p_min) {
if (p_min > _max_value - MIN_Y_RANGE)
_min_value = _max_value - MIN_Y_RANGE;
else
_min_value = p_min;
// Note: min and max are indicative values,
// it's still possible that existing points are out of range at this point.
emit_signal(SIGNAL_RANGE_CHANGED);
}
void Curve::set_max_value(float p_max) {
if (p_max < _min_value + MIN_Y_RANGE)
_max_value = _min_value + MIN_Y_RANGE;
else
_max_value = p_max;
emit_signal(SIGNAL_RANGE_CHANGED);
}
real_t Curve::interpolate(real_t offset) const {
if (_points.size() == 0)
return 0;
if (_points.size() == 1)
return _points[0].pos.y;
int i = get_index(offset);
if (i == _points.size() - 1)
return _points[i].pos.y;
real_t local = offset - _points[i].pos.x;
if (i == 0 && local <= 0)
return _points[0].pos.y;
return interpolate_local_nocheck(i, local);
}
real_t Curve::interpolate_local_nocheck(int index, real_t local_offset) const {
const Point a = _points[index];
const Point b = _points[index + 1];
/* Cubic bezier
*
* ac-----bc
* / \
* / \ Here with a.right_tangent > 0
* / \ and b.left_tangent < 0
* / \
* a b
*
* |-d1--|-d2--|-d3--|
*
* d1 == d2 == d3 == d / 3
*/
// Control points are chosen at equal distances
real_t d = b.pos.x - a.pos.x;
if (Math::abs(d) <= CMP_EPSILON)
return b.pos.y;
local_offset /= d;
d /= 3.0;
real_t yac = a.pos.y + d * a.right_tangent;
real_t ybc = b.pos.y - d * b.left_tangent;
real_t y = _bezier_interp(local_offset, a.pos.y, yac, ybc, b.pos.y);
return y;
}
void Curve::mark_dirty() {
_baked_cache_dirty = true;
emit_signal(CoreStringNames::get_singleton()->changed);
}
Array Curve::get_data() const {
Array output;
const unsigned int ELEMS = 5;
output.resize(_points.size() * ELEMS);
for (int j = 0; j < _points.size(); ++j) {
const Point p = _points[j];
int i = j * ELEMS;
output[i] = p.pos;
output[i + 1] = p.left_tangent;
output[i + 2] = p.right_tangent;
output[i + 3] = p.left_mode;
output[i + 4] = p.right_mode;
}
return output;
}
void Curve::set_data(Array input) {
const unsigned int ELEMS = 5;
ERR_FAIL_COND(input.size() % ELEMS != 0);
_points.clear();
// Validate input
for (int i = 0; i < input.size(); i += ELEMS) {
ERR_FAIL_COND(input[i].get_type() != Variant::VECTOR2);
ERR_FAIL_COND(!input[i + 1].is_num());
ERR_FAIL_COND(input[i + 2].get_type() != Variant::REAL);
ERR_FAIL_COND(input[i + 3].get_type() != Variant::INT);
int left_mode = input[i + 3];
ERR_FAIL_COND(left_mode < 0 || left_mode >= TANGENT_MODE_COUNT);
ERR_FAIL_COND(input[i + 4].get_type() != Variant::INT);
int right_mode = input[i + 4];
ERR_FAIL_COND(right_mode < 0 || right_mode >= TANGENT_MODE_COUNT);
}
_points.resize(input.size() / ELEMS);
for (int j = 0; j < _points.size(); ++j) {
Point &p = _points[j];
int i = j * ELEMS;
p.pos = input[i];
p.left_tangent = input[i + 1];
p.right_tangent = input[i + 2];
// TODO For some reason the compiler won't convert from Variant to enum
int left_mode = input[i + 3];
int right_mode = input[i + 4];
p.left_mode = (TangentMode)left_mode;
p.right_mode = (TangentMode)right_mode;
}
mark_dirty();
}
void Curve::bake() {
_baked_cache.clear();
_baked_cache.resize(_bake_resolution);
for (int i = 1; i < _bake_resolution - 1; ++i) {
real_t x = i / static_cast<real_t>(_bake_resolution);
real_t y = interpolate(x);
_baked_cache[i] = y;
}
if (_points.size() != 0) {
_baked_cache[0] = _points[0].pos.y;
_baked_cache[_baked_cache.size() - 1] = _points[_points.size() - 1].pos.y;
}
_baked_cache_dirty = false;
}
void Curve::set_bake_resolution(int p_resolution) {
ERR_FAIL_COND(p_resolution < 1);
ERR_FAIL_COND(p_resolution > 1000);
_bake_resolution = p_resolution;
_baked_cache_dirty = true;
}
real_t Curve::interpolate_baked(real_t offset) {
if (_baked_cache_dirty) {
// Last-second bake if not done already
bake();
}
// Special cases if the cache is too small
if (_baked_cache.size() == 0) {
if (_points.size() == 0)
return 0;
return _points[0].pos.y;
} else if (_baked_cache.size() == 1) {
return _baked_cache[0];
}
// Get interpolation index
real_t fi = offset * _baked_cache.size();
int i = Math::floor(fi);
if (i < 0) {
i = 0;
fi = 0;
} else if (i >= _baked_cache.size()) {
i = _baked_cache.size() - 1;
fi = 0;
}
// Interpolate
if (i + 1 < _baked_cache.size()) {
real_t t = fi - i;
return Math::lerp(_baked_cache[i], _baked_cache[i + 1], t);
} else {
return _baked_cache[_baked_cache.size() - 1];
}
}
void Curve::_bind_methods() {
ClassDB::bind_method(D_METHOD("add_point", "position", "left_tangent", "right_tangent", "left_mode", "right_mode"), &Curve::add_point, DEFVAL(0), DEFVAL(0), DEFVAL(TANGENT_FREE), DEFVAL(TANGENT_FREE));
ClassDB::bind_method(D_METHOD("remove_point", "index"), &Curve::remove_point);
ClassDB::bind_method(D_METHOD("clear_points"), &Curve::clear_points);
ClassDB::bind_method(D_METHOD("get_point_position", "index"), &Curve::get_point_position);
ClassDB::bind_method(D_METHOD("set_point_value", "index", "y"), &Curve::set_point_value);
ClassDB::bind_method(D_METHOD("set_point_offset", "index", "offset"), &Curve::set_point_offset);
ClassDB::bind_method(D_METHOD("interpolate", "offset"), &Curve::interpolate);
ClassDB::bind_method(D_METHOD("interpolate_baked", "offset"), &Curve::interpolate_baked);
ClassDB::bind_method(D_METHOD("get_point_left_tangent", "index"), &Curve::get_point_left_tangent);
ClassDB::bind_method(D_METHOD("get_point_right_tangent", "index"), &Curve::get_point_right_tangent);
ClassDB::bind_method(D_METHOD("get_point_left_mode", "index"), &Curve::get_point_left_mode);
ClassDB::bind_method(D_METHOD("get_point_right_mode", "index"), &Curve::get_point_right_mode);
ClassDB::bind_method(D_METHOD("set_point_left_tangent", "index", "tangent"), &Curve::set_point_left_tangent);
ClassDB::bind_method(D_METHOD("set_point_right_tangent", "index", "tangent"), &Curve::set_point_right_tangent);
ClassDB::bind_method(D_METHOD("set_point_left_mode", "index", "mode"), &Curve::set_point_left_mode);
ClassDB::bind_method(D_METHOD("set_point_right_mode", "index", "mode"), &Curve::set_point_right_mode);
ClassDB::bind_method(D_METHOD("get_min_value"), &Curve::get_min_value);
ClassDB::bind_method(D_METHOD("set_min_value", "min"), &Curve::set_min_value);
ClassDB::bind_method(D_METHOD("get_max_value"), &Curve::get_max_value);
ClassDB::bind_method(D_METHOD("set_max_value", "max"), &Curve::set_max_value);
ClassDB::bind_method(D_METHOD("clean_dupes"), &Curve::clean_dupes);
ClassDB::bind_method(D_METHOD("bake"), &Curve::bake);
ClassDB::bind_method(D_METHOD("get_bake_resolution"), &Curve::get_bake_resolution);
ClassDB::bind_method(D_METHOD("set_bake_resolution", "resolution"), &Curve::set_bake_resolution);
ClassDB::bind_method(D_METHOD("_get_data"), &Curve::get_data);
ClassDB::bind_method(D_METHOD("_set_data", "data"), &Curve::set_data);
ADD_PROPERTY(PropertyInfo(Variant::REAL, "min_value", PROPERTY_HINT_RANGE, "-1024,1024,0.01"), "set_min_value", "get_min_value");
ADD_PROPERTY(PropertyInfo(Variant::REAL, "max_value", PROPERTY_HINT_RANGE, "-1024,1024,0.01"), "set_max_value", "get_max_value");
ADD_PROPERTY(PropertyInfo(Variant::INT, "bake_resolution", PROPERTY_HINT_RANGE, "1,1000,1"), "set_bake_resolution", "get_bake_resolution");
ADD_PROPERTY(PropertyInfo(Variant::INT, "_data", PROPERTY_HINT_NONE, "", PROPERTY_USAGE_NOEDITOR), "_set_data", "_get_data");
ADD_SIGNAL(MethodInfo(SIGNAL_RANGE_CHANGED));
BIND_ENUM_CONSTANT(TANGENT_FREE);
BIND_ENUM_CONSTANT(TANGENT_LINEAR);
BIND_ENUM_CONSTANT(TANGENT_MODE_COUNT);
}
int Curve2D::get_point_count() const {
return points.size();
}
void Curve2D::add_point(const Vector2 &p_pos, const Vector2 &p_in, const Vector2 &p_out, int p_atpos) {
Point n;
n.pos = p_pos;
n.in = p_in;
n.out = p_out;
if (p_atpos >= 0 && p_atpos < points.size())
points.insert(p_atpos, n);
else
points.push_back(n);
baked_cache_dirty = true;
emit_signal(CoreStringNames::get_singleton()->changed);
}
void Curve2D::set_point_position(int p_index, const Vector2 &p_pos) {
ERR_FAIL_INDEX(p_index, points.size());
points[p_index].pos = p_pos;
baked_cache_dirty = true;
emit_signal(CoreStringNames::get_singleton()->changed);
}
Vector2 Curve2D::get_point_position(int p_index) const {
ERR_FAIL_INDEX_V(p_index, points.size(), Vector2());
return points[p_index].pos;
}
void Curve2D::set_point_in(int p_index, const Vector2 &p_in) {
ERR_FAIL_INDEX(p_index, points.size());
points[p_index].in = p_in;
baked_cache_dirty = true;
emit_signal(CoreStringNames::get_singleton()->changed);
}
Vector2 Curve2D::get_point_in(int p_index) const {
ERR_FAIL_INDEX_V(p_index, points.size(), Vector2());
return points[p_index].in;
}
void Curve2D::set_point_out(int p_index, const Vector2 &p_out) {
ERR_FAIL_INDEX(p_index, points.size());
points[p_index].out = p_out;
baked_cache_dirty = true;
emit_signal(CoreStringNames::get_singleton()->changed);
}
Vector2 Curve2D::get_point_out(int p_index) const {
ERR_FAIL_INDEX_V(p_index, points.size(), Vector2());
return points[p_index].out;
}
void Curve2D::remove_point(int p_index) {
ERR_FAIL_INDEX(p_index, points.size());
points.remove(p_index);
baked_cache_dirty = true;
emit_signal(CoreStringNames::get_singleton()->changed);
}
void Curve2D::clear_points() {
if (!points.empty()) {
points.clear();
baked_cache_dirty = true;
emit_signal(CoreStringNames::get_singleton()->changed);
}
}
Vector2 Curve2D::interpolate(int p_index, float p_offset) const {
int pc = points.size();
ERR_FAIL_COND_V(pc == 0, Vector2());
if (p_index >= pc - 1)
return points[pc - 1].pos;
else if (p_index < 0)
return points[0].pos;
Vector2 p0 = points[p_index].pos;
Vector2 p1 = p0 + points[p_index].out;
Vector2 p3 = points[p_index + 1].pos;
Vector2 p2 = p3 + points[p_index + 1].in;
return _bezier_interp(p_offset, p0, p1, p2, p3);
}
Vector2 Curve2D::interpolatef(real_t p_findex) const {
if (p_findex < 0)
p_findex = 0;
else if (p_findex >= points.size())
p_findex = points.size();
return interpolate((int)p_findex, Math::fmod(p_findex, (real_t)1.0));
}
void Curve2D::_bake_segment2d(Map<float, Vector2> &r_bake, float p_begin, float p_end, const Vector2 &p_a, const Vector2 &p_out, const Vector2 &p_b, const Vector2 &p_in, int p_depth, int p_max_depth, float p_tol) const {
float mp = p_begin + (p_end - p_begin) * 0.5;
Vector2 beg = _bezier_interp(p_begin, p_a, p_a + p_out, p_b + p_in, p_b);
Vector2 mid = _bezier_interp(mp, p_a, p_a + p_out, p_b + p_in, p_b);
Vector2 end = _bezier_interp(p_end, p_a, p_a + p_out, p_b + p_in, p_b);
Vector2 na = (mid - beg).normalized();
Vector2 nb = (end - mid).normalized();
float dp = na.dot(nb);
if (dp < Math::cos(Math::deg2rad(p_tol))) {
r_bake[mp] = mid;
}
if (p_depth < p_max_depth) {
_bake_segment2d(r_bake, p_begin, mp, p_a, p_out, p_b, p_in, p_depth + 1, p_max_depth, p_tol);
_bake_segment2d(r_bake, mp, p_end, p_a, p_out, p_b, p_in, p_depth + 1, p_max_depth, p_tol);
}
}
void Curve2D::_bake() const {
if (!baked_cache_dirty)
return;
baked_max_ofs = 0;
baked_cache_dirty = false;
if (points.size() == 0) {
baked_point_cache.resize(0);
return;
}
if (points.size() == 1) {
baked_point_cache.resize(1);
baked_point_cache.set(0, points[0].pos);
return;
}
Vector2 pos = points[0].pos;
List<Vector2> pointlist;
pointlist.push_back(pos); //start always from origin
for (int i = 0; i < points.size() - 1; i++) {
float step = 0.1; // at least 10 substeps ought to be enough?
float p = 0;
while (p < 1.0) {
float np = p + step;
if (np > 1.0)
np = 1.0;
Vector2 npp = _bezier_interp(np, points[i].pos, points[i].pos + points[i].out, points[i + 1].pos + points[i + 1].in, points[i + 1].pos);
float d = pos.distance_to(npp);
if (d > bake_interval) {
// OK! between P and NP there _has_ to be Something, let's go searching!
int iterations = 10; //lots of detail!
float low = p;
float hi = np;
float mid = low + (hi - low) * 0.5;
for (int j = 0; j < iterations; j++) {
npp = _bezier_interp(mid, points[i].pos, points[i].pos + points[i].out, points[i + 1].pos + points[i + 1].in, points[i + 1].pos);
d = pos.distance_to(npp);
if (bake_interval < d)
hi = mid;
else
low = mid;
mid = low + (hi - low) * 0.5;
}
pos = npp;
p = mid;
pointlist.push_back(pos);
} else {
p = np;
}
}
}
Vector2 lastpos = points[points.size() - 1].pos;
float rem = pos.distance_to(lastpos);
baked_max_ofs = (pointlist.size() - 1) * bake_interval + rem;
pointlist.push_back(lastpos);
baked_point_cache.resize(pointlist.size());
PoolVector2Array::Write w = baked_point_cache.write();
int idx = 0;
for (List<Vector2>::Element *E = pointlist.front(); E; E = E->next()) {
w[idx] = E->get();
idx++;
}
}
float Curve2D::get_baked_length() const {
if (baked_cache_dirty)
_bake();
return baked_max_ofs;
}
Vector2 Curve2D::interpolate_baked(float p_offset, bool p_cubic) const {
if (baked_cache_dirty)
_bake();
//validate//
int pc = baked_point_cache.size();
if (pc == 0) {
ERR_EXPLAIN("No points in Curve2D");
ERR_FAIL_COND_V(pc == 0, Vector2());
}
if (pc == 1)
return baked_point_cache.get(0);
int bpc = baked_point_cache.size();
PoolVector2Array::Read r = baked_point_cache.read();
if (p_offset < 0)
return r[0];
if (p_offset >= baked_max_ofs)
return r[bpc - 1];
int idx = Math::floor((double)p_offset / (double)bake_interval);
float frac = Math::fmod(p_offset, (float)bake_interval);
if (idx >= bpc - 1) {
return r[bpc - 1];
} else if (idx == bpc - 2) {
frac /= Math::fmod(baked_max_ofs, bake_interval);
} else {
frac /= bake_interval;
}
if (p_cubic) {
Vector2 pre = idx > 0 ? r[idx - 1] : r[idx];
Vector2 post = (idx < (bpc - 2)) ? r[idx + 2] : r[idx + 1];
return r[idx].cubic_interpolate(r[idx + 1], pre, post, frac);
} else {
return r[idx].linear_interpolate(r[idx + 1], frac);
}
}
PoolVector2Array Curve2D::get_baked_points() const {
if (baked_cache_dirty)
_bake();
return baked_point_cache;
}
void Curve2D::set_bake_interval(float p_tolerance) {
bake_interval = p_tolerance;
baked_cache_dirty = true;
emit_signal(CoreStringNames::get_singleton()->changed);
}
float Curve2D::get_bake_interval() const {
return bake_interval;
}
Dictionary Curve2D::_get_data() const {
Dictionary dc;
PoolVector2Array d;
d.resize(points.size() * 3);
PoolVector2Array::Write w = d.write();
for (int i = 0; i < points.size(); i++) {
w[i * 3 + 0] = points[i].in;
w[i * 3 + 1] = points[i].out;
w[i * 3 + 2] = points[i].pos;
}
w = PoolVector2Array::Write();
dc["points"] = d;
return dc;
}
void Curve2D::_set_data(const Dictionary &p_data) {
ERR_FAIL_COND(!p_data.has("points"));
PoolVector2Array rp = p_data["points"];
int pc = rp.size();
ERR_FAIL_COND(pc % 3 != 0);
points.resize(pc / 3);
PoolVector2Array::Read r = rp.read();
for (int i = 0; i < points.size(); i++) {
points[i].in = r[i * 3 + 0];
points[i].out = r[i * 3 + 1];
points[i].pos = r[i * 3 + 2];
}
baked_cache_dirty = true;
}
PoolVector2Array Curve2D::tessellate(int p_max_stages, float p_tolerance) const {
PoolVector2Array tess;
if (points.size() == 0) {
return tess;
}
Vector<Map<float, Vector2> > midpoints;
midpoints.resize(points.size() - 1);
int pc = 1;
for (int i = 0; i < points.size() - 1; i++) {
_bake_segment2d(midpoints[i], 0, 1, points[i].pos, points[i].out, points[i + 1].pos, points[i + 1].in, 0, p_max_stages, p_tolerance);
pc++;
pc += midpoints[i].size();
}
tess.resize(pc);
PoolVector2Array::Write bpw = tess.write();
bpw[0] = points[0].pos;
int pidx = 0;
for (int i = 0; i < points.size() - 1; i++) {
for (Map<float, Vector2>::Element *E = midpoints[i].front(); E; E = E->next()) {
pidx++;
bpw[pidx] = E->get();
}
pidx++;
bpw[pidx] = points[i + 1].pos;
}
bpw = PoolVector2Array::Write();
return tess;
}
void Curve2D::_bind_methods() {
ClassDB::bind_method(D_METHOD("get_point_count"), &Curve2D::get_point_count);
ClassDB::bind_method(D_METHOD("add_point", "position", "in", "out", "at_position"), &Curve2D::add_point, DEFVAL(Vector2()), DEFVAL(Vector2()), DEFVAL(-1));
ClassDB::bind_method(D_METHOD("set_point_position", "idx", "position"), &Curve2D::set_point_position);
ClassDB::bind_method(D_METHOD("get_point_position", "idx"), &Curve2D::get_point_position);
ClassDB::bind_method(D_METHOD("set_point_in", "idx", "position"), &Curve2D::set_point_in);
ClassDB::bind_method(D_METHOD("get_point_in", "idx"), &Curve2D::get_point_in);
ClassDB::bind_method(D_METHOD("set_point_out", "idx", "position"), &Curve2D::set_point_out);
ClassDB::bind_method(D_METHOD("get_point_out", "idx"), &Curve2D::get_point_out);
ClassDB::bind_method(D_METHOD("remove_point", "idx"), &Curve2D::remove_point);
ClassDB::bind_method(D_METHOD("clear_points"), &Curve2D::clear_points);
ClassDB::bind_method(D_METHOD("interpolate", "idx", "t"), &Curve2D::interpolate);
ClassDB::bind_method(D_METHOD("interpolatef", "fofs"), &Curve2D::interpolatef);
//ClassDB::bind_method(D_METHOD("bake","subdivs"),&Curve2D::bake,DEFVAL(10));
ClassDB::bind_method(D_METHOD("set_bake_interval", "distance"), &Curve2D::set_bake_interval);
ClassDB::bind_method(D_METHOD("get_bake_interval"), &Curve2D::get_bake_interval);
ClassDB::bind_method(D_METHOD("get_baked_length"), &Curve2D::get_baked_length);
ClassDB::bind_method(D_METHOD("interpolate_baked", "offset", "cubic"), &Curve2D::interpolate_baked, DEFVAL(false));
ClassDB::bind_method(D_METHOD("get_baked_points"), &Curve2D::get_baked_points);
ClassDB::bind_method(D_METHOD("tessellate", "max_stages", "tolerance_degrees"), &Curve2D::tessellate, DEFVAL(5), DEFVAL(4));
ClassDB::bind_method(D_METHOD("_get_data"), &Curve2D::_get_data);
ClassDB::bind_method(D_METHOD("_set_data"), &Curve2D::_set_data);
ADD_PROPERTY(PropertyInfo(Variant::REAL, "bake_interval", PROPERTY_HINT_RANGE, "0.01,512,0.01"), "set_bake_interval", "get_bake_interval");
ADD_PROPERTY(PropertyInfo(Variant::INT, "_data", PROPERTY_HINT_NONE, "", PROPERTY_USAGE_NOEDITOR), "_set_data", "_get_data");
}
Curve2D::Curve2D() {
baked_cache_dirty = false;
baked_max_ofs = 0;
/* add_point(Vector2(-1,0,0));
add_point(Vector2(0,2,0));
add_point(Vector2(0,3,5));*/
bake_interval = 5;
}
/***********************************************************************************/
/***********************************************************************************/
/***********************************************************************************/
/***********************************************************************************/
/***********************************************************************************/
/***********************************************************************************/
int Curve3D::get_point_count() const {
return points.size();
}
void Curve3D::add_point(const Vector3 &p_pos, const Vector3 &p_in, const Vector3 &p_out, int p_atpos) {
Point n;
n.pos = p_pos;
n.in = p_in;
n.out = p_out;
if (p_atpos >= 0 && p_atpos < points.size())
points.insert(p_atpos, n);
else
points.push_back(n);
baked_cache_dirty = true;
emit_signal(CoreStringNames::get_singleton()->changed);
}
void Curve3D::set_point_position(int p_index, const Vector3 &p_pos) {
ERR_FAIL_INDEX(p_index, points.size());
points[p_index].pos = p_pos;
baked_cache_dirty = true;
emit_signal(CoreStringNames::get_singleton()->changed);
}
Vector3 Curve3D::get_point_position(int p_index) const {
ERR_FAIL_INDEX_V(p_index, points.size(), Vector3());
return points[p_index].pos;
}
void Curve3D::set_point_tilt(int p_index, float p_tilt) {
ERR_FAIL_INDEX(p_index, points.size());
points[p_index].tilt = p_tilt;
baked_cache_dirty = true;
emit_signal(CoreStringNames::get_singleton()->changed);
}
float Curve3D::get_point_tilt(int p_index) const {
ERR_FAIL_INDEX_V(p_index, points.size(), 0);
return points[p_index].tilt;
}
void Curve3D::set_point_in(int p_index, const Vector3 &p_in) {
ERR_FAIL_INDEX(p_index, points.size());
points[p_index].in = p_in;
baked_cache_dirty = true;
emit_signal(CoreStringNames::get_singleton()->changed);
}
Vector3 Curve3D::get_point_in(int p_index) const {
ERR_FAIL_INDEX_V(p_index, points.size(), Vector3());
return points[p_index].in;
}
void Curve3D::set_point_out(int p_index, const Vector3 &p_out) {
ERR_FAIL_INDEX(p_index, points.size());
points[p_index].out = p_out;
baked_cache_dirty = true;
emit_signal(CoreStringNames::get_singleton()->changed);
}
Vector3 Curve3D::get_point_out(int p_index) const {
ERR_FAIL_INDEX_V(p_index, points.size(), Vector3());
return points[p_index].out;
}
void Curve3D::remove_point(int p_index) {
ERR_FAIL_INDEX(p_index, points.size());
points.remove(p_index);
baked_cache_dirty = true;
emit_signal(CoreStringNames::get_singleton()->changed);
}
void Curve3D::clear_points() {
if (!points.empty()) {
points.clear();
baked_cache_dirty = true;
emit_signal(CoreStringNames::get_singleton()->changed);
}
}
Vector3 Curve3D::interpolate(int p_index, float p_offset) const {
int pc = points.size();
ERR_FAIL_COND_V(pc == 0, Vector3());
if (p_index >= pc - 1)
return points[pc - 1].pos;
else if (p_index < 0)
return points[0].pos;
Vector3 p0 = points[p_index].pos;
Vector3 p1 = p0 + points[p_index].out;
Vector3 p3 = points[p_index + 1].pos;
Vector3 p2 = p3 + points[p_index + 1].in;
return _bezier_interp(p_offset, p0, p1, p2, p3);
}
Vector3 Curve3D::interpolatef(real_t p_findex) const {
if (p_findex < 0)
p_findex = 0;
else if (p_findex >= points.size())
p_findex = points.size();
return interpolate((int)p_findex, Math::fmod(p_findex, (real_t)1.0));
}
void Curve3D::_bake_segment3d(Map<float, Vector3> &r_bake, float p_begin, float p_end, const Vector3 &p_a, const Vector3 &p_out, const Vector3 &p_b, const Vector3 &p_in, int p_depth, int p_max_depth, float p_tol) const {
float mp = p_begin + (p_end - p_begin) * 0.5;
Vector3 beg = _bezier_interp(p_begin, p_a, p_a + p_out, p_b + p_in, p_b);
Vector3 mid = _bezier_interp(mp, p_a, p_a + p_out, p_b + p_in, p_b);
Vector3 end = _bezier_interp(p_end, p_a, p_a + p_out, p_b + p_in, p_b);
Vector3 na = (mid - beg).normalized();
Vector3 nb = (end - mid).normalized();
float dp = na.dot(nb);
if (dp < Math::cos(Math::deg2rad(p_tol))) {
r_bake[mp] = mid;
}
if (p_depth < p_max_depth) {
_bake_segment3d(r_bake, p_begin, mp, p_a, p_out, p_b, p_in, p_depth + 1, p_max_depth, p_tol);
_bake_segment3d(r_bake, mp, p_end, p_a, p_out, p_b, p_in, p_depth + 1, p_max_depth, p_tol);
}
}
void Curve3D::_bake() const {
if (!baked_cache_dirty)
return;
baked_max_ofs = 0;
baked_cache_dirty = false;
if (points.size() == 0) {
baked_point_cache.resize(0);
baked_tilt_cache.resize(0);
return;
}
if (points.size() == 1) {
baked_point_cache.resize(1);
baked_point_cache.set(0, points[0].pos);
baked_tilt_cache.resize(1);
baked_tilt_cache.set(0, points[0].tilt);
return;
}
Vector3 pos = points[0].pos;
List<Plane> pointlist;
pointlist.push_back(Plane(pos, points[0].tilt));
for (int i = 0; i < points.size() - 1; i++) {
float step = 0.1; // at least 10 substeps ought to be enough?
float p = 0;
while (p < 1.0) {
float np = p + step;
if (np > 1.0)
np = 1.0;
Vector3 npp = _bezier_interp(np, points[i].pos, points[i].pos + points[i].out, points[i + 1].pos + points[i + 1].in, points[i + 1].pos);
float d = pos.distance_to(npp);
if (d > bake_interval) {
// OK! between P and NP there _has_ to be Something, let's go searching!
int iterations = 10; //lots of detail!
float low = p;
float hi = np;
float mid = low + (hi - low) * 0.5;
for (int j = 0; j < iterations; j++) {
npp = _bezier_interp(mid, points[i].pos, points[i].pos + points[i].out, points[i + 1].pos + points[i + 1].in, points[i + 1].pos);
d = pos.distance_to(npp);
if (bake_interval < d)
hi = mid;
else
low = mid;
mid = low + (hi - low) * 0.5;
}
pos = npp;
p = mid;
Plane post;
post.normal = pos;
post.d = Math::lerp(points[i].tilt, points[i + 1].tilt, mid);
pointlist.push_back(post);
} else {
p = np;
}
}
}
Vector3 lastpos = points[points.size() - 1].pos;
float lastilt = points[points.size() - 1].tilt;
float rem = pos.distance_to(lastpos);
baked_max_ofs = (pointlist.size() - 1) * bake_interval + rem;
pointlist.push_back(Plane(lastpos, lastilt));
baked_point_cache.resize(pointlist.size());
PoolVector3Array::Write w = baked_point_cache.write();
int idx = 0;
baked_tilt_cache.resize(pointlist.size());
PoolRealArray::Write wt = baked_tilt_cache.write();
for (List<Plane>::Element *E = pointlist.front(); E; E = E->next()) {
w[idx] = E->get().normal;
wt[idx] = E->get().d;
idx++;
}
}
float Curve3D::get_baked_length() const {
if (baked_cache_dirty)
_bake();
return baked_max_ofs;
}
Vector3 Curve3D::interpolate_baked(float p_offset, bool p_cubic) const {
if (baked_cache_dirty)
_bake();
//validate//
int pc = baked_point_cache.size();
if (pc == 0) {
ERR_EXPLAIN("No points in Curve3D");
ERR_FAIL_COND_V(pc == 0, Vector3());
}
if (pc == 1)
return baked_point_cache.get(0);
int bpc = baked_point_cache.size();
PoolVector3Array::Read r = baked_point_cache.read();
if (p_offset < 0)
return r[0];
if (p_offset >= baked_max_ofs)
return r[bpc - 1];
int idx = Math::floor((double)p_offset / (double)bake_interval);
float frac = Math::fmod(p_offset, bake_interval);
if (idx >= bpc - 1) {
return r[bpc - 1];
} else if (idx == bpc - 2) {
frac /= Math::fmod(baked_max_ofs, bake_interval);
} else {
frac /= bake_interval;
}
if (p_cubic) {
Vector3 pre = idx > 0 ? r[idx - 1] : r[idx];
Vector3 post = (idx < (bpc - 2)) ? r[idx + 2] : r[idx + 1];
return r[idx].cubic_interpolate(r[idx + 1], pre, post, frac);
} else {
return r[idx].linear_interpolate(r[idx + 1], frac);
}
}
float Curve3D::interpolate_baked_tilt(float p_offset) const {
if (baked_cache_dirty)
_bake();
//validate//
int pc = baked_tilt_cache.size();
if (pc == 0) {
ERR_EXPLAIN("No tilts in Curve3D");
ERR_FAIL_COND_V(pc == 0, 0);
}
if (pc == 1)
return baked_tilt_cache.get(0);
int bpc = baked_tilt_cache.size();
PoolRealArray::Read r = baked_tilt_cache.read();
if (p_offset < 0)
return r[0];
if (p_offset >= baked_max_ofs)
return r[bpc - 1];
int idx = Math::floor((double)p_offset / (double)bake_interval);
float frac = Math::fmod(p_offset, bake_interval);
if (idx >= bpc - 1) {
return r[bpc - 1];
} else if (idx == bpc - 2) {
frac /= Math::fmod(baked_max_ofs, bake_interval);
} else {
frac /= bake_interval;
}
return Math::lerp(r[idx], r[idx + 1], frac);
}
PoolVector3Array Curve3D::get_baked_points() const {
if (baked_cache_dirty)
_bake();
return baked_point_cache;
}
PoolRealArray Curve3D::get_baked_tilts() const {
if (baked_cache_dirty)
_bake();
return baked_tilt_cache;
}
void Curve3D::set_bake_interval(float p_tolerance) {
bake_interval = p_tolerance;
baked_cache_dirty = true;
emit_signal(CoreStringNames::get_singleton()->changed);
}
float Curve3D::get_bake_interval() const {
return bake_interval;
}
Dictionary Curve3D::_get_data() const {
Dictionary dc;
PoolVector3Array d;
d.resize(points.size() * 3);
PoolVector3Array::Write w = d.write();
PoolRealArray t;
t.resize(points.size());
PoolRealArray::Write wt = t.write();
for (int i = 0; i < points.size(); i++) {
w[i * 3 + 0] = points[i].in;
w[i * 3 + 1] = points[i].out;
w[i * 3 + 2] = points[i].pos;
wt[i] = points[i].tilt;
}
w = PoolVector3Array::Write();
wt = PoolRealArray::Write();
dc["points"] = d;
dc["tilts"] = t;
return dc;
}
void Curve3D::_set_data(const Dictionary &p_data) {
ERR_FAIL_COND(!p_data.has("points"));
ERR_FAIL_COND(!p_data.has("tilts"));
PoolVector3Array rp = p_data["points"];
int pc = rp.size();
ERR_FAIL_COND(pc % 3 != 0);
points.resize(pc / 3);
PoolVector3Array::Read r = rp.read();
PoolRealArray rtl = p_data["tilts"];
PoolRealArray::Read rt = rtl.read();
for (int i = 0; i < points.size(); i++) {
points[i].in = r[i * 3 + 0];
points[i].out = r[i * 3 + 1];
points[i].pos = r[i * 3 + 2];
points[i].tilt = rt[i];
}
baked_cache_dirty = true;
}
PoolVector3Array Curve3D::tessellate(int p_max_stages, float p_tolerance) const {
PoolVector3Array tess;
if (points.size() == 0) {
return tess;
}
Vector<Map<float, Vector3> > midpoints;
midpoints.resize(points.size() - 1);
int pc = 1;
for (int i = 0; i < points.size() - 1; i++) {
_bake_segment3d(midpoints[i], 0, 1, points[i].pos, points[i].out, points[i + 1].pos, points[i + 1].in, 0, p_max_stages, p_tolerance);
pc++;
pc += midpoints[i].size();
}
tess.resize(pc);
PoolVector3Array::Write bpw = tess.write();
bpw[0] = points[0].pos;
int pidx = 0;
for (int i = 0; i < points.size() - 1; i++) {
for (Map<float, Vector3>::Element *E = midpoints[i].front(); E; E = E->next()) {
pidx++;
bpw[pidx] = E->get();
}
pidx++;
bpw[pidx] = points[i + 1].pos;
}
bpw = PoolVector3Array::Write();
return tess;
}
void Curve3D::_bind_methods() {
ClassDB::bind_method(D_METHOD("get_point_count"), &Curve3D::get_point_count);
ClassDB::bind_method(D_METHOD("add_point", "position", "in", "out", "at_position"), &Curve3D::add_point, DEFVAL(Vector3()), DEFVAL(Vector3()), DEFVAL(-1));
ClassDB::bind_method(D_METHOD("set_point_position", "idx", "position"), &Curve3D::set_point_position);
ClassDB::bind_method(D_METHOD("get_point_position", "idx"), &Curve3D::get_point_position);
ClassDB::bind_method(D_METHOD("set_point_tilt", "idx", "tilt"), &Curve3D::set_point_tilt);
ClassDB::bind_method(D_METHOD("get_point_tilt", "idx"), &Curve3D::get_point_tilt);
ClassDB::bind_method(D_METHOD("set_point_in", "idx", "position"), &Curve3D::set_point_in);
ClassDB::bind_method(D_METHOD("get_point_in", "idx"), &Curve3D::get_point_in);
ClassDB::bind_method(D_METHOD("set_point_out", "idx", "position"), &Curve3D::set_point_out);
ClassDB::bind_method(D_METHOD("get_point_out", "idx"), &Curve3D::get_point_out);
ClassDB::bind_method(D_METHOD("remove_point", "idx"), &Curve3D::remove_point);
ClassDB::bind_method(D_METHOD("clear_points"), &Curve3D::clear_points);
ClassDB::bind_method(D_METHOD("interpolate", "idx", "t"), &Curve3D::interpolate);
ClassDB::bind_method(D_METHOD("interpolatef", "fofs"), &Curve3D::interpolatef);
//ClassDB::bind_method(D_METHOD("bake","subdivs"),&Curve3D::bake,DEFVAL(10));
ClassDB::bind_method(D_METHOD("set_bake_interval", "distance"), &Curve3D::set_bake_interval);
ClassDB::bind_method(D_METHOD("get_bake_interval"), &Curve3D::get_bake_interval);
ClassDB::bind_method(D_METHOD("get_baked_length"), &Curve3D::get_baked_length);
ClassDB::bind_method(D_METHOD("interpolate_baked", "offset", "cubic"), &Curve3D::interpolate_baked, DEFVAL(false));
ClassDB::bind_method(D_METHOD("get_baked_points"), &Curve3D::get_baked_points);
ClassDB::bind_method(D_METHOD("get_baked_tilts"), &Curve3D::get_baked_tilts);
ClassDB::bind_method(D_METHOD("tessellate", "max_stages", "tolerance_degrees"), &Curve3D::tessellate, DEFVAL(5), DEFVAL(4));
ClassDB::bind_method(D_METHOD("_get_data"), &Curve3D::_get_data);
ClassDB::bind_method(D_METHOD("_set_data"), &Curve3D::_set_data);
ADD_PROPERTY(PropertyInfo(Variant::REAL, "bake_interval", PROPERTY_HINT_RANGE, "0.01,512,0.01"), "set_bake_interval", "get_bake_interval");
ADD_PROPERTY(PropertyInfo(Variant::INT, "_data", PROPERTY_HINT_NONE, "", PROPERTY_USAGE_NOEDITOR), "_set_data", "_get_data");
}
Curve3D::Curve3D() {
baked_cache_dirty = false;
baked_max_ofs = 0;
/* add_point(Vector3(-1,0,0));
add_point(Vector3(0,2,0));
add_point(Vector3(0,3,5));*/
bake_interval = 0.2;
}