godot/scene/resources/curve.h
Jihyun Yu 8a6fc54ccd Curve2D/Curve3D: exact linear interpolation
While calculating interpolated points, intervals between two baked
points has been assummed to be `baked_interval`. The assumption could
cause significant error in some extreme cases (for example #7088).

To improve accuracy, `baked_dist_cache` is introduced, which stores
distance from starting point for each baked points. `interpolate_baked`
now returns exact linear-interpolated position along baked points.
2021-08-21 16:57:59 +09:00

281 lines
9.1 KiB
C++

/*************************************************************************/
/* curve.h */
/*************************************************************************/
/* This file is part of: */
/* GODOT ENGINE */
/* https://godotengine.org */
/*************************************************************************/
/* Copyright (c) 2007-2021 Juan Linietsky, Ariel Manzur. */
/* Copyright (c) 2014-2021 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. */
/*************************************************************************/
#ifndef CURVE_H
#define CURVE_H
#include "core/io/resource.h"
// y(x) curve
class Curve : public Resource {
GDCLASS(Curve, Resource);
public:
static const int MIN_X = 0.f;
static const int MAX_X = 1.f;
static const char *SIGNAL_RANGE_CHANGED;
enum TangentMode {
TANGENT_FREE = 0,
TANGENT_LINEAR,
TANGENT_MODE_COUNT
};
struct Point {
Vector2 pos;
real_t left_tangent = 0.0;
real_t right_tangent = 0.0;
TangentMode left_mode = TANGENT_FREE;
TangentMode right_mode = TANGENT_FREE;
Point() {
}
Point(Vector2 p_pos,
real_t p_left = 0.0,
real_t p_right = 0.0,
TangentMode p_left_mode = TANGENT_FREE,
TangentMode p_right_mode = TANGENT_FREE) {
pos = p_pos;
left_tangent = p_left;
right_tangent = p_right;
left_mode = p_left_mode;
right_mode = p_right_mode;
}
};
Curve();
int get_point_count() const { return _points.size(); }
int add_point(Vector2 p_pos,
real_t left_tangent = 0,
real_t right_tangent = 0,
TangentMode left_mode = TANGENT_FREE,
TangentMode right_mode = TANGENT_FREE);
void remove_point(int p_index);
void clear_points();
int get_index(real_t offset) const;
void set_point_value(int p_index, real_t pos);
int set_point_offset(int p_index, float offset);
Vector2 get_point_position(int p_index) const;
Point get_point(int p_index) const;
float get_min_value() const { return _min_value; }
void set_min_value(float p_min);
float get_max_value() const { return _max_value; }
void set_max_value(float p_max);
real_t interpolate(real_t offset) const;
real_t interpolate_local_nocheck(int index, real_t local_offset) const;
void clean_dupes();
void set_point_left_tangent(int i, real_t tangent);
void set_point_right_tangent(int i, real_t tangent);
void set_point_left_mode(int i, TangentMode p_mode);
void set_point_right_mode(int i, TangentMode p_mode);
real_t get_point_left_tangent(int i) const;
real_t get_point_right_tangent(int i) const;
TangentMode get_point_left_mode(int i) const;
TangentMode get_point_right_mode(int i) const;
void update_auto_tangents(int i);
Array get_data() const;
void set_data(Array input);
void bake();
int get_bake_resolution() const { return _bake_resolution; }
void set_bake_resolution(int p_resolution);
real_t interpolate_baked(real_t offset) const;
void ensure_default_setup(float p_min, float p_max);
protected:
static void _bind_methods();
private:
void mark_dirty();
Vector<Point> _points;
bool _baked_cache_dirty = false;
Vector<real_t> _baked_cache;
int _bake_resolution = 100;
float _min_value = 0.0;
float _max_value = 1.0;
int _minmax_set_once = 0b00; // Encodes whether min and max have been set a first time, first bit for min and second for max.
};
VARIANT_ENUM_CAST(Curve::TangentMode)
class Curve2D : public Resource {
GDCLASS(Curve2D, Resource);
struct Point {
Vector2 in;
Vector2 out;
Vector2 pos;
};
Vector<Point> points;
struct BakedPoint {
float ofs = 0.0;
Vector2 point;
};
mutable bool baked_cache_dirty = false;
mutable PackedVector2Array baked_point_cache;
mutable PackedFloat32Array baked_dist_cache;
mutable float baked_max_ofs = 0.0;
void _bake() const;
float bake_interval = 5.0;
void _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;
Dictionary _get_data() const;
void _set_data(const Dictionary &p_data);
protected:
static void _bind_methods();
public:
int get_point_count() const;
void add_point(const Vector2 &p_pos, const Vector2 &p_in = Vector2(), const Vector2 &p_out = Vector2(), int p_atpos = -1);
void set_point_position(int p_index, const Vector2 &p_pos);
Vector2 get_point_position(int p_index) const;
void set_point_in(int p_index, const Vector2 &p_in);
Vector2 get_point_in(int p_index) const;
void set_point_out(int p_index, const Vector2 &p_out);
Vector2 get_point_out(int p_index) const;
void remove_point(int p_index);
void clear_points();
Vector2 interpolate(int p_index, float p_offset) const;
Vector2 interpolatef(real_t p_findex) const;
void set_bake_interval(float p_tolerance);
float get_bake_interval() const;
float get_baked_length() const;
Vector2 interpolate_baked(float p_offset, bool p_cubic = false) const;
PackedVector2Array get_baked_points() const; //useful for going through
Vector2 get_closest_point(const Vector2 &p_to_point) const;
float get_closest_offset(const Vector2 &p_to_point) const;
PackedVector2Array tessellate(int p_max_stages = 5, float p_tolerance = 4) const; //useful for display
Curve2D();
};
class Curve3D : public Resource {
GDCLASS(Curve3D, Resource);
struct Point {
Vector3 in;
Vector3 out;
Vector3 pos;
float tilt = 0.0;
};
Vector<Point> points;
struct BakedPoint {
float ofs = 0.0;
Vector3 point;
};
mutable bool baked_cache_dirty = false;
mutable PackedVector3Array baked_point_cache;
mutable Vector<real_t> baked_tilt_cache;
mutable PackedVector3Array baked_up_vector_cache;
mutable PackedFloat32Array baked_dist_cache;
mutable float baked_max_ofs = 0.0;
void _bake() const;
float bake_interval = 0.2;
bool up_vector_enabled = true;
void _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;
Dictionary _get_data() const;
void _set_data(const Dictionary &p_data);
protected:
static void _bind_methods();
public:
int get_point_count() const;
void add_point(const Vector3 &p_pos, const Vector3 &p_in = Vector3(), const Vector3 &p_out = Vector3(), int p_atpos = -1);
void set_point_position(int p_index, const Vector3 &p_pos);
Vector3 get_point_position(int p_index) const;
void set_point_tilt(int p_index, float p_tilt);
float get_point_tilt(int p_index) const;
void set_point_in(int p_index, const Vector3 &p_in);
Vector3 get_point_in(int p_index) const;
void set_point_out(int p_index, const Vector3 &p_out);
Vector3 get_point_out(int p_index) const;
void remove_point(int p_index);
void clear_points();
Vector3 interpolate(int p_index, float p_offset) const;
Vector3 interpolatef(real_t p_findex) const;
void set_bake_interval(float p_tolerance);
float get_bake_interval() const;
void set_up_vector_enabled(bool p_enable);
bool is_up_vector_enabled() const;
float get_baked_length() const;
Vector3 interpolate_baked(float p_offset, bool p_cubic = false) const;
float interpolate_baked_tilt(float p_offset) const;
Vector3 interpolate_baked_up_vector(float p_offset, bool p_apply_tilt = false) const;
PackedVector3Array get_baked_points() const; //useful for going through
Vector<real_t> get_baked_tilts() const; //useful for going through
PackedVector3Array get_baked_up_vectors() const;
Vector3 get_closest_point(const Vector3 &p_to_point) const;
float get_closest_offset(const Vector3 &p_to_point) const;
PackedVector3Array tessellate(int p_max_stages = 5, float p_tolerance = 4) const; //useful for display
Curve3D();
};
#endif // CURVE_H