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-rw-r--r--scene/resources/curve.cpp331
1 files changed, 197 insertions, 134 deletions
diff --git a/scene/resources/curve.cpp b/scene/resources/curve.cpp
index 9289c5da4a..bc2149a8c6 100644
--- a/scene/resources/curve.cpp
+++ b/scene/resources/curve.cpp
@@ -341,7 +341,7 @@ real_t Curve::sample_local_nocheck(int p_index, real_t p_local_offset) const {
const Point a = _points[p_index];
const Point b = _points[p_index + 1];
- /* Cubic bezier
+ /* Cubic bézier
*
* ac-----bc
* / \
@@ -774,6 +774,22 @@ void Curve2D::_bake_segment2d(RBMap<real_t, Vector2> &r_bake, real_t p_begin, re
}
}
+void Curve2D::_bake_segment2d_even_length(RBMap<real_t, Vector2> &r_bake, real_t p_begin, real_t 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, real_t p_length) const {
+ Vector2 beg = p_a.bezier_interpolate(p_a + p_out, p_b + p_in, p_b, p_begin);
+ Vector2 end = p_a.bezier_interpolate(p_a + p_out, p_b + p_in, p_b, p_end);
+
+ real_t length = beg.distance_to(end);
+
+ if (length > p_length && p_depth < p_max_depth) {
+ real_t mp = (p_begin + p_end) * 0.5;
+ Vector2 mid = p_a.bezier_interpolate(p_a + p_out, p_b + p_in, p_b, mp);
+ r_bake[mp] = mid;
+
+ _bake_segment2d_even_length(r_bake, p_begin, mp, p_a, p_out, p_b, p_in, p_depth + 1, p_max_depth, p_length);
+ _bake_segment2d_even_length(r_bake, mp, p_end, p_a, p_out, p_b, p_in, p_depth + 1, p_max_depth, p_length);
+ }
+}
+
void Curve2D::_bake() const {
if (!baked_cache_dirty) {
return;
@@ -785,94 +801,62 @@ void Curve2D::_bake() const {
if (points.size() == 0) {
baked_point_cache.clear();
baked_dist_cache.clear();
+ baked_forward_vector_cache.clear();
return;
}
if (points.size() == 1) {
baked_point_cache.resize(1);
baked_point_cache.set(0, points[0].position);
-
baked_dist_cache.resize(1);
baked_dist_cache.set(0, 0.0);
+ baked_forward_vector_cache.resize(1);
+ baked_forward_vector_cache.set(0, Vector2(0.0, 0.1));
+
return;
}
- Vector2 position = points[0].position;
- real_t dist = 0.0;
-
- List<Vector2> pointlist;
- List<real_t> distlist;
-
- // Start always from origin.
- pointlist.push_back(position);
- distlist.push_back(0.0);
-
- for (int i = 0; i < points.size() - 1; i++) {
- real_t step = 0.1; // at least 10 substeps ought to be enough?
- real_t p = 0.0;
-
- while (p < 1.0) {
- real_t np = p + step;
- if (np > 1.0) {
- np = 1.0;
- }
-
- Vector2 npp = points[i].position.bezier_interpolate(points[i].position + points[i].out, points[i + 1].position + points[i + 1].in, points[i + 1].position, np);
- real_t d = position.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!
-
- real_t low = p;
- real_t hi = np;
- real_t mid = low + (hi - low) * 0.5;
-
- for (int j = 0; j < iterations; j++) {
- npp = points[i].position.bezier_interpolate(points[i].position + points[i].out, points[i + 1].position + points[i + 1].in, points[i + 1].position, mid);
- d = position.distance_to(npp);
-
- if (bake_interval < d) {
- hi = mid;
- } else {
- low = mid;
- }
- mid = low + (hi - low) * 0.5;
- }
-
- position = npp;
- p = mid;
- dist += d;
+ // Tesselate curve to (almost) even length segments
+ {
+ Vector<RBMap<real_t, Vector2>> midpoints = _tessellate_even_length(10, bake_interval);
- pointlist.push_back(position);
- distlist.push_back(dist);
- } else {
- p = np;
- }
+ int pc = 1;
+ for (int i = 0; i < points.size() - 1; i++) {
+ pc++;
+ pc += midpoints[i].size();
}
- Vector2 npp = points[i + 1].position;
- real_t d = position.distance_to(npp);
-
- position = npp;
- dist += d;
+ baked_point_cache.resize(pc);
+ baked_dist_cache.resize(pc);
+ baked_forward_vector_cache.resize(pc);
- pointlist.push_back(position);
- distlist.push_back(dist);
- }
+ Vector2 *bpw = baked_point_cache.ptrw();
+ Vector2 *bfw = baked_forward_vector_cache.ptrw();
- baked_max_ofs = dist;
+ // Collect positions and sample tilts and tangents for each baked points.
+ bpw[0] = points[0].position;
+ bfw[0] = points[0].position.bezier_derivative(points[0].position + points[0].out, points[1].position + points[1].in, points[1].position, 0.0).normalized();
+ int pidx = 0;
- baked_point_cache.resize(pointlist.size());
- baked_dist_cache.resize(distlist.size());
+ for (int i = 0; i < points.size() - 1; i++) {
+ for (const KeyValue<real_t, Vector2> &E : midpoints[i]) {
+ pidx++;
+ bpw[pidx] = E.value;
+ bfw[pidx] = points[i].position.bezier_derivative(points[i].position + points[i].out, points[i + 1].position + points[i + 1].in, points[i + 1].position, E.key).normalized();
+ }
- Vector2 *w = baked_point_cache.ptrw();
- real_t *wd = baked_dist_cache.ptrw();
+ pidx++;
+ bpw[pidx] = points[i + 1].position;
+ bfw[pidx] = points[i].position.bezier_derivative(points[i].position + points[i].out, points[i + 1].position + points[i + 1].in, points[i + 1].position, 1.0).normalized();
+ }
- for (int i = 0; i < pointlist.size(); i++) {
- w[i] = pointlist[i];
- wd[i] = distlist[i];
+ // Recalculate the baked distances.
+ real_t *bdw = baked_dist_cache.ptrw();
+ bdw[0] = 0.0;
+ for (int i = 0; i < pc - 1; i++) {
+ bdw[i + 1] = bdw[i] + bpw[i].distance_to(bpw[i + 1]);
+ }
+ baked_max_ofs = bdw[pc - 1];
}
}
@@ -884,27 +868,15 @@ real_t Curve2D::get_baked_length() const {
return baked_max_ofs;
}
-Vector2 Curve2D::sample_baked(real_t p_offset, bool p_cubic) const {
- if (baked_cache_dirty) {
- _bake();
- }
+Curve2D::Interval Curve2D::_find_interval(real_t p_offset) const {
+ Interval interval = {
+ -1,
+ 0.0
+ };
+ ERR_FAIL_COND_V_MSG(baked_cache_dirty, interval, "Backed cache is dirty");
- // Validate: Curve may not have baked points.
int pc = baked_point_cache.size();
- ERR_FAIL_COND_V_MSG(pc == 0, Vector2(), "No points in Curve2D.");
-
- if (pc == 1) {
- return baked_point_cache.get(0);
- }
-
- const Vector2 *r = baked_point_cache.ptr();
-
- if (p_offset < 0) {
- return r[0];
- }
- if (p_offset >= baked_max_ofs) {
- return r[pc - 1];
- }
+ ERR_FAIL_COND_V_MSG(pc < 2, interval, "Less than two points in cache");
int start = 0;
int end = pc;
@@ -924,9 +896,27 @@ Vector2 Curve2D::sample_baked(real_t p_offset, bool p_cubic) const {
real_t offset_end = baked_dist_cache[idx + 1];
real_t idx_interval = offset_end - offset_begin;
- ERR_FAIL_COND_V_MSG(p_offset < offset_begin || p_offset > offset_end, Vector2(), "Couldn't find baked segment.");
+ ERR_FAIL_COND_V_MSG(p_offset < offset_begin || p_offset > offset_end, interval, "Offset out of range.");
+
+ interval.idx = idx;
+ if (idx_interval < FLT_EPSILON) {
+ interval.frac = 0.5; // For a very short interval, 0.5 is a reasonable choice.
+ ERR_FAIL_V_MSG(interval, "Zero length interval.");
+ }
+
+ interval.frac = (p_offset - offset_begin) / idx_interval;
+ return interval;
+}
- real_t frac = (p_offset - offset_begin) / idx_interval;
+Vector2 Curve2D::_sample_baked(Interval p_interval, bool p_cubic) const {
+ // Assuming p_interval is valid.
+ ERR_FAIL_INDEX_V_MSG(p_interval.idx, baked_point_cache.size(), Vector2(), "Invalid interval");
+
+ int idx = p_interval.idx;
+ real_t frac = p_interval.frac;
+
+ const Vector2 *r = baked_point_cache.ptr();
+ int pc = baked_point_cache.size();
if (p_cubic) {
Vector2 pre = idx > 0 ? r[idx - 1] : r[idx];
@@ -937,44 +927,70 @@ Vector2 Curve2D::sample_baked(real_t p_offset, bool p_cubic) const {
}
}
-Transform2D Curve2D::sample_baked_with_rotation(real_t p_offset, bool p_cubic, bool p_loop, real_t p_lookahead) const {
- real_t path_length = get_baked_length(); // Ensure baked.
- ERR_FAIL_COND_V_MSG(path_length == 0, Transform2D(), "Length of Curve2D is 0.");
+Transform2D Curve2D::_sample_posture(Interval p_interval) const {
+ // Assuming that p_interval is valid.
+ ERR_FAIL_INDEX_V_MSG(p_interval.idx, baked_point_cache.size(), Transform2D(), "Invalid interval");
- Vector2 pos = sample_baked(p_offset, p_cubic);
+ int idx = p_interval.idx;
+ real_t frac = p_interval.frac;
- real_t ahead = p_offset + p_lookahead;
+ Vector2 forward_begin = baked_forward_vector_cache[idx];
+ Vector2 forward_end = baked_forward_vector_cache[idx + 1];
- if (p_loop && ahead >= path_length) {
- // If our lookahead will loop, we need to check if the path is closed.
- int point_count = get_point_count();
- if (point_count > 0) {
- Vector2 start_point = get_point_position(0);
- Vector2 end_point = get_point_position(point_count - 1);
- if (start_point == end_point) {
- // Since the path is closed we want to 'smooth off'
- // the corner at the start/end.
- // So we wrap the lookahead back round.
- ahead = Math::fmod(ahead, path_length);
- }
- }
+ // Build frames at both ends of the interval, then interpolate.
+ const Vector2 forward = forward_begin.slerp(forward_end, frac).normalized();
+ const Vector2 side = Vector2(-forward.y, forward.x);
+
+ return Transform2D(side, forward, Vector2(0.0, 0.0));
+}
+
+Vector2 Curve2D::sample_baked(real_t p_offset, bool p_cubic) const {
+ if (baked_cache_dirty) {
+ _bake();
}
- Vector2 ahead_pos = sample_baked(ahead, p_cubic);
+ // Validate: Curve may not have baked points.
+ int pc = baked_point_cache.size();
+ ERR_FAIL_COND_V_MSG(pc == 0, Vector2(), "No points in Curve2D.");
- Vector2 tangent_to_curve;
- if (ahead_pos == pos) {
- // This will happen at the end of non-looping or non-closed paths.
- // We'll try a look behind instead, in order to get a meaningful angle.
- tangent_to_curve =
- (pos - sample_baked(p_offset - p_lookahead, p_cubic)).normalized();
- } else {
- tangent_to_curve = (ahead_pos - pos).normalized();
+ if (pc == 1) {
+ return baked_point_cache[0];
+ }
+
+ p_offset = CLAMP(p_offset, 0.0, get_baked_length()); // PathFollower implement wrapping logic.
+
+ Curve2D::Interval interval = _find_interval(p_offset);
+ return _sample_baked(interval, p_cubic);
+}
+
+Transform2D Curve2D::sample_baked_with_rotation(real_t p_offset, bool p_cubic) const {
+ if (baked_cache_dirty) {
+ _bake();
}
- Vector2 normal_of_curve = -tangent_to_curve.orthogonal();
+ // Validate: Curve may not have baked points.
+ const int point_count = baked_point_cache.size();
+ ERR_FAIL_COND_V_MSG(point_count == 0, Transform2D(), "No points in Curve3D.");
+
+ if (point_count == 1) {
+ Transform2D t;
+ t.set_origin(baked_point_cache.get(0));
+ ERR_FAIL_V_MSG(t, "Only 1 point in Curve2D.");
+ }
+
+ p_offset = CLAMP(p_offset, 0.0, get_baked_length()); // PathFollower implement wrapping logic.
+
+ // 0. Find interval for all sampling steps.
+ Curve2D::Interval interval = _find_interval(p_offset);
+
+ // 1. Sample position.
+ Vector2 pos = _sample_baked(interval, p_cubic);
+
+ // 2. Sample rotation frame.
+ Transform2D frame = _sample_posture(interval);
+ frame.set_origin(pos);
- return Transform2D(normal_of_curve, tangent_to_curve, pos);
+ return frame;
}
PackedVector2Array Curve2D::get_baked_points() const {
@@ -1147,6 +1163,50 @@ PackedVector2Array Curve2D::tessellate(int p_max_stages, real_t p_tolerance) con
return tess;
}
+Vector<RBMap<real_t, Vector2>> Curve2D::_tessellate_even_length(int p_max_stages, real_t p_length) const {
+ Vector<RBMap<real_t, Vector2>> midpoints;
+ ERR_FAIL_COND_V_MSG(points.size() < 2, midpoints, "Curve must have at least 2 control point");
+
+ midpoints.resize(points.size() - 1);
+
+ for (int i = 0; i < points.size() - 1; i++) {
+ _bake_segment2d_even_length(midpoints.write[i], 0, 1, points[i].position, points[i].out, points[i + 1].position, points[i + 1].in, 0, p_max_stages, p_length);
+ }
+ return midpoints;
+}
+
+PackedVector2Array Curve2D::tessellate_even_length(int p_max_stages, real_t p_length) const {
+ PackedVector2Array tess;
+
+ Vector<RBMap<real_t, Vector2>> midpoints = _tessellate_even_length(p_max_stages, p_length);
+ if (midpoints.size() == 0) {
+ return tess;
+ }
+
+ int pc = 1;
+ for (int i = 0; i < points.size() - 1; i++) {
+ pc++;
+ pc += midpoints[i].size();
+ }
+
+ tess.resize(pc);
+ Vector2 *bpw = tess.ptrw();
+ bpw[0] = points[0].position;
+ int pidx = 0;
+
+ for (int i = 0; i < points.size() - 1; i++) {
+ for (const KeyValue<real_t, Vector2> &E : midpoints[i]) {
+ pidx++;
+ bpw[pidx] = E.value;
+ }
+
+ pidx++;
+ bpw[pidx] = points[i + 1].position;
+ }
+
+ return tess;
+}
+
bool Curve2D::_set(const StringName &p_name, const Variant &p_value) {
Vector<String> components = String(p_name).split("/", true, 2);
if (components.size() >= 2 && components[0].begins_with("point_") && components[0].trim_prefix("point_").is_valid_int()) {
@@ -1224,12 +1284,13 @@ void Curve2D::_bind_methods() {
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("sample_baked", "offset", "cubic"), &Curve2D::sample_baked, DEFVAL(false));
- ClassDB::bind_method(D_METHOD("sample_baked_with_rotation", "offset", "cubic", "loop", "lookahead"), &Curve2D::sample_baked_with_rotation, DEFVAL(false), DEFVAL(true), DEFVAL(4.0));
+ ClassDB::bind_method(D_METHOD("sample_baked", "offset", "cubic"), &Curve2D::sample_baked, DEFVAL(0.0), DEFVAL(false));
+ ClassDB::bind_method(D_METHOD("sample_baked_with_rotation", "offset", "cubic"), &Curve2D::sample_baked_with_rotation, DEFVAL(0.0), DEFVAL(false));
ClassDB::bind_method(D_METHOD("get_baked_points"), &Curve2D::get_baked_points);
ClassDB::bind_method(D_METHOD("get_closest_point", "to_point"), &Curve2D::get_closest_point);
ClassDB::bind_method(D_METHOD("get_closest_offset", "to_point"), &Curve2D::get_closest_offset);
ClassDB::bind_method(D_METHOD("tessellate", "max_stages", "tolerance_degrees"), &Curve2D::tessellate, DEFVAL(5), DEFVAL(4));
+ ClassDB::bind_method(D_METHOD("tessellate_even_length", "max_stages", "tolerance_length"), &Curve2D::tessellate_even_length, DEFVAL(5), DEFVAL(20.0));
ClassDB::bind_method(D_METHOD("_get_data"), &Curve2D::_get_data);
ClassDB::bind_method(D_METHOD("_set_data", "data"), &Curve2D::_set_data);
@@ -1407,15 +1468,15 @@ void Curve3D::_bake_segment3d_even_length(RBMap<real_t, Vector3> &r_bake, real_t
Vector3 beg = p_a.bezier_interpolate(p_a + p_out, p_b + p_in, p_b, p_begin);
Vector3 end = p_a.bezier_interpolate(p_a + p_out, p_b + p_in, p_b, p_end);
- size_t length = beg.distance_to(end);
+ real_t length = beg.distance_to(end);
if (length > p_length && p_depth < p_max_depth) {
real_t mp = (p_begin + p_end) * 0.5;
Vector3 mid = p_a.bezier_interpolate(p_a + p_out, p_b + p_in, p_b, mp);
r_bake[mp] = mid;
- _bake_segment3d(r_bake, p_begin, mp, p_a, p_out, p_b, p_in, p_depth + 1, p_max_depth, p_length);
- _bake_segment3d(r_bake, mp, p_end, p_a, p_out, p_b, p_in, p_depth + 1, p_max_depth, p_length);
+ _bake_segment3d_even_length(r_bake, p_begin, mp, p_a, p_out, p_b, p_in, p_depth + 1, p_max_depth, p_length);
+ _bake_segment3d_even_length(r_bake, mp, p_end, p_a, p_out, p_b, p_in, p_depth + 1, p_max_depth, p_length);
}
}
@@ -1839,10 +1900,11 @@ Vector3 Curve3D::get_closest_point(const Vector3 &p_to_point) const {
real_t nearest_dist = -1.0f;
for (int i = 0; i < pc - 1; i++) {
+ const real_t interval = baked_dist_cache[i + 1] - baked_dist_cache[i];
Vector3 origin = r[i];
- Vector3 direction = (r[i + 1] - origin) / bake_interval;
+ Vector3 direction = (r[i + 1] - origin) / interval;
- real_t d = CLAMP((p_to_point - origin).dot(direction), 0.0f, bake_interval);
+ real_t d = CLAMP((p_to_point - origin).dot(direction), 0.0f, interval);
Vector3 proj = origin + direction * d;
real_t dist = proj.distance_squared_to(p_to_point);
@@ -1875,13 +1937,16 @@ real_t Curve3D::get_closest_offset(const Vector3 &p_to_point) const {
real_t nearest = 0.0f;
real_t nearest_dist = -1.0f;
- real_t offset = 0.0f;
+ real_t offset;
for (int i = 0; i < pc - 1; i++) {
+ offset = baked_dist_cache[i];
+
+ const real_t interval = baked_dist_cache[i + 1] - baked_dist_cache[i];
Vector3 origin = r[i];
- Vector3 direction = (r[i + 1] - origin) / bake_interval;
+ Vector3 direction = (r[i + 1] - origin) / interval;
- real_t d = CLAMP((p_to_point - origin).dot(direction), 0.0f, bake_interval);
+ real_t d = CLAMP((p_to_point - origin).dot(direction), 0.0f, interval);
Vector3 proj = origin + direction * d;
real_t dist = proj.distance_squared_to(p_to_point);
@@ -1890,8 +1955,6 @@ real_t Curve3D::get_closest_offset(const Vector3 &p_to_point) const {
nearest = offset + d;
nearest_dist = dist;
}
-
- offset += bake_interval;
}
return nearest;
@@ -2131,8 +2194,8 @@ void Curve3D::_bind_methods() {
ClassDB::bind_method(D_METHOD("is_up_vector_enabled"), &Curve3D::is_up_vector_enabled);
ClassDB::bind_method(D_METHOD("get_baked_length"), &Curve3D::get_baked_length);
- ClassDB::bind_method(D_METHOD("sample_baked", "offset", "cubic"), &Curve3D::sample_baked, DEFVAL(false));
- ClassDB::bind_method(D_METHOD("sample_baked_with_rotation", "offset", "cubic", "apply_tilt"), &Curve3D::sample_baked_with_rotation, DEFVAL(false), DEFVAL(false));
+ ClassDB::bind_method(D_METHOD("sample_baked", "offset", "cubic"), &Curve3D::sample_baked, DEFVAL(0.0), DEFVAL(false));
+ ClassDB::bind_method(D_METHOD("sample_baked_with_rotation", "offset", "cubic", "apply_tilt"), &Curve3D::sample_baked_with_rotation, DEFVAL(0.0), DEFVAL(false), DEFVAL(false));
ClassDB::bind_method(D_METHOD("sample_baked_up_vector", "offset", "apply_tilt"), &Curve3D::sample_baked_up_vector, 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);
generated by cgit v1.2.3 (git 2.25.1) at 2024-12-16 08:41:08 +0000