diff options
Diffstat (limited to 'core/math')
-rw-r--r-- | core/math/basis.cpp | 12 | ||||
-rw-r--r-- | core/math/basis.h | 24 | ||||
-rw-r--r-- | core/math/expression.cpp | 40 | ||||
-rw-r--r-- | core/math/expression.h | 4 | ||||
-rw-r--r-- | core/math/math_funcs.h | 21 | ||||
-rw-r--r-- | core/math/octree.h | 1271 | ||||
-rw-r--r-- | core/math/vector2.cpp | 7 | ||||
-rw-r--r-- | core/math/vector2.h | 24 | ||||
-rw-r--r-- | core/math/vector3.cpp | 8 | ||||
-rw-r--r-- | core/math/vector3.h | 25 |
10 files changed, 110 insertions, 1326 deletions
diff --git a/core/math/basis.cpp b/core/math/basis.cpp index 65353d8118..ce5e9aa9b3 100644 --- a/core/math/basis.cpp +++ b/core/math/basis.cpp @@ -365,12 +365,12 @@ Basis Basis::rotated_local(const Vector3 &p_axis, real_t p_angle) const { return (*this) * Basis(p_axis, p_angle); } -Basis Basis::rotated(const Vector3 &p_euler) const { - return Basis(p_euler) * (*this); +Basis Basis::rotated(const Vector3 &p_euler, EulerOrder p_order) const { + return Basis::from_euler(p_euler, p_order) * (*this); } -void Basis::rotate(const Vector3 &p_euler) { - *this = rotated(p_euler); +void Basis::rotate(const Vector3 &p_euler, EulerOrder p_order) { + *this = rotated(p_euler, p_order); } Basis Basis::rotated(const Quaternion &p_quaternion) const { @@ -935,9 +935,9 @@ void Basis::set_axis_angle_scale(const Vector3 &p_axis, real_t p_angle, const Ve rotate(p_axis, p_angle); } -void Basis::set_euler_scale(const Vector3 &p_euler, const Vector3 &p_scale) { +void Basis::set_euler_scale(const Vector3 &p_euler, const Vector3 &p_scale, EulerOrder p_order) { _set_diagonal(p_scale); - rotate(p_euler); + rotate(p_euler, p_order); } void Basis::set_quaternion_scale(const Quaternion &p_quaternion, const Vector3 &p_scale) { diff --git a/core/math/basis.h b/core/math/basis.h index 9cce22510b..4be325cdd2 100644 --- a/core/math/basis.h +++ b/core/math/basis.h @@ -56,6 +56,15 @@ struct _NO_DISCARD_ Basis { _FORCE_INLINE_ real_t determinant() const; + enum EulerOrder { + EULER_ORDER_XYZ, + EULER_ORDER_XZY, + EULER_ORDER_YXZ, + EULER_ORDER_YZX, + EULER_ORDER_ZXY, + EULER_ORDER_ZYX + }; + void from_z(const Vector3 &p_z); void rotate(const Vector3 &p_axis, real_t p_angle); @@ -64,21 +73,12 @@ struct _NO_DISCARD_ Basis { void rotate_local(const Vector3 &p_axis, real_t p_angle); Basis rotated_local(const Vector3 &p_axis, real_t p_angle) const; - void rotate(const Vector3 &p_euler); - Basis rotated(const Vector3 &p_euler) const; + void rotate(const Vector3 &p_euler, EulerOrder p_order = EULER_ORDER_YXZ); + Basis rotated(const Vector3 &p_euler, EulerOrder p_order = EULER_ORDER_YXZ) const; void rotate(const Quaternion &p_quaternion); Basis rotated(const Quaternion &p_quaternion) const; - enum EulerOrder { - EULER_ORDER_XYZ, - EULER_ORDER_XZY, - EULER_ORDER_YXZ, - EULER_ORDER_YZX, - EULER_ORDER_ZXY, - EULER_ORDER_ZYX - }; - Vector3 get_euler_normalized(EulerOrder p_order = EULER_ORDER_YXZ) const; void get_rotation_axis_angle(Vector3 &p_axis, real_t &p_angle) const; void get_rotation_axis_angle_local(Vector3 &p_axis, real_t &p_angle) const; @@ -119,7 +119,7 @@ struct _NO_DISCARD_ Basis { Vector3 get_scale_local() const; void set_axis_angle_scale(const Vector3 &p_axis, real_t p_angle, const Vector3 &p_scale); - void set_euler_scale(const Vector3 &p_euler, const Vector3 &p_scale); + void set_euler_scale(const Vector3 &p_euler, const Vector3 &p_scale, EulerOrder p_order = EULER_ORDER_YXZ); void set_quaternion_scale(const Quaternion &p_quaternion, const Vector3 &p_scale); // transposed dot products diff --git a/core/math/expression.cpp b/core/math/expression.cpp index 5a90f68b66..e230b69dc9 100644 --- a/core/math/expression.cpp +++ b/core/math/expression.cpp @@ -891,7 +891,7 @@ Expression::ENode *Expression::_parse_expression() { case TK_PERIOD: { //named indexing or function call _get_token(tk); - if (tk.type != TK_IDENTIFIER) { + if (tk.type != TK_IDENTIFIER && tk.type != TK_BUILTIN_FUNC) { _set_error("Expected identifier after '.'"); return nullptr; } @@ -1240,7 +1240,7 @@ bool Expression::_compile_expression() { return false; } -bool Expression::_execute(const Array &p_inputs, Object *p_instance, Expression::ENode *p_node, Variant &r_ret, String &r_error_str) { +bool Expression::_execute(const Array &p_inputs, Object *p_instance, Expression::ENode *p_node, Variant &r_ret, bool p_const_calls_only, String &r_error_str) { switch (p_node->type) { case Expression::ENode::TYPE_INPUT: { const Expression::InputNode *in = static_cast<const Expression::InputNode *>(p_node); @@ -1266,7 +1266,7 @@ bool Expression::_execute(const Array &p_inputs, Object *p_instance, Expression: const Expression::OperatorNode *op = static_cast<const Expression::OperatorNode *>(p_node); Variant a; - bool ret = _execute(p_inputs, p_instance, op->nodes[0], a, r_error_str); + bool ret = _execute(p_inputs, p_instance, op->nodes[0], a, p_const_calls_only, r_error_str); if (ret) { return true; } @@ -1274,7 +1274,7 @@ bool Expression::_execute(const Array &p_inputs, Object *p_instance, Expression: Variant b; if (op->nodes[1]) { - ret = _execute(p_inputs, p_instance, op->nodes[1], b, r_error_str); + ret = _execute(p_inputs, p_instance, op->nodes[1], b, p_const_calls_only, r_error_str); if (ret) { return true; } @@ -1292,14 +1292,14 @@ bool Expression::_execute(const Array &p_inputs, Object *p_instance, Expression: const Expression::IndexNode *index = static_cast<const Expression::IndexNode *>(p_node); Variant base; - bool ret = _execute(p_inputs, p_instance, index->base, base, r_error_str); + bool ret = _execute(p_inputs, p_instance, index->base, base, p_const_calls_only, r_error_str); if (ret) { return true; } Variant idx; - ret = _execute(p_inputs, p_instance, index->index, idx, r_error_str); + ret = _execute(p_inputs, p_instance, index->index, idx, p_const_calls_only, r_error_str); if (ret) { return true; } @@ -1316,7 +1316,7 @@ bool Expression::_execute(const Array &p_inputs, Object *p_instance, Expression: const Expression::NamedIndexNode *index = static_cast<const Expression::NamedIndexNode *>(p_node); Variant base; - bool ret = _execute(p_inputs, p_instance, index->base, base, r_error_str); + bool ret = _execute(p_inputs, p_instance, index->base, base, p_const_calls_only, r_error_str); if (ret) { return true; } @@ -1336,7 +1336,7 @@ bool Expression::_execute(const Array &p_inputs, Object *p_instance, Expression: arr.resize(array->array.size()); for (int i = 0; i < array->array.size(); i++) { Variant value; - bool ret = _execute(p_inputs, p_instance, array->array[i], value, r_error_str); + bool ret = _execute(p_inputs, p_instance, array->array[i], value, p_const_calls_only, r_error_str); if (ret) { return true; @@ -1353,14 +1353,14 @@ bool Expression::_execute(const Array &p_inputs, Object *p_instance, Expression: Dictionary d; for (int i = 0; i < dictionary->dict.size(); i += 2) { Variant key; - bool ret = _execute(p_inputs, p_instance, dictionary->dict[i + 0], key, r_error_str); + bool ret = _execute(p_inputs, p_instance, dictionary->dict[i + 0], key, p_const_calls_only, r_error_str); if (ret) { return true; } Variant value; - ret = _execute(p_inputs, p_instance, dictionary->dict[i + 1], value, r_error_str); + ret = _execute(p_inputs, p_instance, dictionary->dict[i + 1], value, p_const_calls_only, r_error_str); if (ret) { return true; } @@ -1380,7 +1380,7 @@ bool Expression::_execute(const Array &p_inputs, Object *p_instance, Expression: for (int i = 0; i < constructor->arguments.size(); i++) { Variant value; - bool ret = _execute(p_inputs, p_instance, constructor->arguments[i], value, r_error_str); + bool ret = _execute(p_inputs, p_instance, constructor->arguments[i], value, p_const_calls_only, r_error_str); if (ret) { return true; @@ -1408,7 +1408,7 @@ bool Expression::_execute(const Array &p_inputs, Object *p_instance, Expression: for (int i = 0; i < bifunc->arguments.size(); i++) { Variant value; - bool ret = _execute(p_inputs, p_instance, bifunc->arguments[i], value, r_error_str); + bool ret = _execute(p_inputs, p_instance, bifunc->arguments[i], value, p_const_calls_only, r_error_str); if (ret) { return true; } @@ -1429,7 +1429,7 @@ bool Expression::_execute(const Array &p_inputs, Object *p_instance, Expression: const Expression::CallNode *call = static_cast<const Expression::CallNode *>(p_node); Variant base; - bool ret = _execute(p_inputs, p_instance, call->base, base, r_error_str); + bool ret = _execute(p_inputs, p_instance, call->base, base, p_const_calls_only, r_error_str); if (ret) { return true; @@ -1442,7 +1442,7 @@ bool Expression::_execute(const Array &p_inputs, Object *p_instance, Expression: for (int i = 0; i < call->arguments.size(); i++) { Variant value; - ret = _execute(p_inputs, p_instance, call->arguments[i], value, r_error_str); + ret = _execute(p_inputs, p_instance, call->arguments[i], value, p_const_calls_only, r_error_str); if (ret) { return true; @@ -1452,7 +1452,11 @@ bool Expression::_execute(const Array &p_inputs, Object *p_instance, Expression: } Callable::CallError ce; - base.callp(call->method, (const Variant **)argp.ptr(), argp.size(), r_ret, ce); + if (p_const_calls_only) { + base.call_const(call->method, (const Variant **)argp.ptr(), argp.size(), r_ret, ce); + } else { + base.callp(call->method, (const Variant **)argp.ptr(), argp.size(), r_ret, ce); + } if (ce.error != Callable::CallError::CALL_OK) { r_error_str = vformat(RTR("On call to '%s':"), String(call->method)); @@ -1491,13 +1495,13 @@ Error Expression::parse(const String &p_expression, const Vector<String> &p_inpu return OK; } -Variant Expression::execute(Array p_inputs, Object *p_base, bool p_show_error) { +Variant Expression::execute(Array p_inputs, Object *p_base, bool p_show_error, bool p_const_calls_only) { ERR_FAIL_COND_V_MSG(error_set, Variant(), "There was previously a parse error: " + error_str + "."); execution_error = false; Variant output; String error_txt; - bool err = _execute(p_inputs, p_base, root, output, error_txt); + bool err = _execute(p_inputs, p_base, root, output, p_const_calls_only, error_txt); if (err) { execution_error = true; error_str = error_txt; @@ -1517,7 +1521,7 @@ String Expression::get_error_text() const { void Expression::_bind_methods() { ClassDB::bind_method(D_METHOD("parse", "expression", "input_names"), &Expression::parse, DEFVAL(Vector<String>())); - ClassDB::bind_method(D_METHOD("execute", "inputs", "base_instance", "show_error"), &Expression::execute, DEFVAL(Array()), DEFVAL(Variant()), DEFVAL(true)); + ClassDB::bind_method(D_METHOD("execute", "inputs", "base_instance", "show_error", "const_calls_only"), &Expression::execute, DEFVAL(Array()), DEFVAL(Variant()), DEFVAL(true), DEFVAL(false)); ClassDB::bind_method(D_METHOD("has_execute_failed"), &Expression::has_execute_failed); ClassDB::bind_method(D_METHOD("get_error_text"), &Expression::get_error_text); } diff --git a/core/math/expression.h b/core/math/expression.h index 6ea3c1611f..2d58915996 100644 --- a/core/math/expression.h +++ b/core/math/expression.h @@ -257,14 +257,14 @@ private: Vector<String> input_names; bool execution_error = false; - bool _execute(const Array &p_inputs, Object *p_instance, Expression::ENode *p_node, Variant &r_ret, String &r_error_str); + bool _execute(const Array &p_inputs, Object *p_instance, Expression::ENode *p_node, Variant &r_ret, bool p_const_calls_only, String &r_error_str); protected: static void _bind_methods(); public: Error parse(const String &p_expression, const Vector<String> &p_input_names = Vector<String>()); - Variant execute(Array p_inputs = Array(), Object *p_base = nullptr, bool p_show_error = true); + Variant execute(Array p_inputs = Array(), Object *p_base = nullptr, bool p_show_error = true, bool p_const_calls_only = false); bool has_execute_failed() const; String get_error_text() const; diff --git a/core/math/math_funcs.h b/core/math/math_funcs.h index c8a55341aa..53deb9bd42 100644 --- a/core/math/math_funcs.h +++ b/core/math/math_funcs.h @@ -253,6 +253,27 @@ public: (-p_pre + 3.0f * p_from - 3.0f * p_to + p_post) * (p_weight * p_weight * p_weight)); } + static _ALWAYS_INLINE_ double bezier_interpolate(double p_start, double p_control_1, double p_control_2, double p_end, double p_t) { + /* Formula from Wikipedia article on Bezier curves. */ + double omt = (1.0 - p_t); + double omt2 = omt * omt; + double omt3 = omt2 * omt; + double t2 = p_t * p_t; + double t3 = t2 * p_t; + + return p_start * omt3 + p_control_1 * omt2 * p_t * 3.0 + p_control_2 * omt * t2 * 3.0 + p_end * t3; + } + static _ALWAYS_INLINE_ float bezier_interpolate(float p_start, float p_control_1, float p_control_2, float p_end, float p_t) { + /* Formula from Wikipedia article on Bezier curves. */ + float omt = (1.0f - p_t); + float omt2 = omt * omt; + float omt3 = omt2 * omt; + float t2 = p_t * p_t; + float t3 = t2 * p_t; + + return p_start * omt3 + p_control_1 * omt2 * p_t * 3.0f + p_control_2 * omt * t2 * 3.0f + p_end * t3; + } + static _ALWAYS_INLINE_ double lerp_angle(double p_from, double p_to, double p_weight) { double difference = fmod(p_to - p_from, Math_TAU); double distance = fmod(2.0 * difference, Math_TAU) - difference; diff --git a/core/math/octree.h b/core/math/octree.h deleted file mode 100644 index 8dd103f109..0000000000 --- a/core/math/octree.h +++ /dev/null @@ -1,1271 +0,0 @@ -/*************************************************************************/ -/* octree.h */ -/*************************************************************************/ -/* This file is part of: */ -/* GODOT ENGINE */ -/* https://godotengine.org */ -/*************************************************************************/ -/* Copyright (c) 2007-2022 Juan Linietsky, Ariel Manzur. */ -/* Copyright (c) 2014-2022 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 OCTREE_H -#define OCTREE_H - -#include "core/math/aabb.h" -#include "core/math/geometry_3d.h" -#include "core/math/vector3.h" -#include "core/string/print_string.h" -#include "core/templates/list.h" -#include "core/templates/rb_map.h" -#include "core/variant/variant.h" - -typedef uint32_t OctreeElementID; - -#define OCTREE_ELEMENT_INVALID_ID 0 -#define OCTREE_SIZE_LIMIT 1e15 - -template <class T, bool use_pairs = false, class AL = DefaultAllocator> -class Octree { -public: - typedef void *(*PairCallback)(void *, OctreeElementID, T *, int, OctreeElementID, T *, int); - typedef void (*UnpairCallback)(void *, OctreeElementID, T *, int, OctreeElementID, T *, int, void *); - -private: - enum { - NEG = 0, - POS = 1, - }; - - enum { - OCTANT_NX_NY_NZ, - OCTANT_PX_NY_NZ, - OCTANT_NX_PY_NZ, - OCTANT_PX_PY_NZ, - OCTANT_NX_NY_PZ, - OCTANT_PX_NY_PZ, - OCTANT_NX_PY_PZ, - OCTANT_PX_PY_PZ - }; - - struct PairKey { - union { - struct { - OctreeElementID A; - OctreeElementID B; - }; - uint64_t key; - }; - - _FORCE_INLINE_ bool operator<(const PairKey &p_pair) const { - return key < p_pair.key; - } - - _FORCE_INLINE_ PairKey(OctreeElementID p_A, OctreeElementID p_B) { - if (p_A < p_B) { - A = p_A; - B = p_B; - } else { - B = p_A; - A = p_B; - } - } - - _FORCE_INLINE_ PairKey() {} - }; - - struct Element; - - struct Octant { - // cached for FAST plane check - AABB aabb; - - uint64_t last_pass = 0; - Octant *parent = nullptr; - Octant *children[8] = { nullptr }; - - int children_count = 0; // cache for amount of children (fast check for removal) - int parent_index = -1; // cache for parent index (fast check for removal) - - List<Element *, AL> pairable_elements; - List<Element *, AL> elements; - - Octant() {} - ~Octant() {} - }; - - struct PairData; - - struct Element { - Octree *octree = nullptr; - - T *userdata = nullptr; - int subindex = 0; - bool pairable = false; - uint32_t pairable_mask = 0; - uint32_t pairable_type = 0; - - uint64_t last_pass = 0; - OctreeElementID _id = 0; - Octant *common_parent = nullptr; - - AABB aabb; - AABB container_aabb; - - List<PairData *, AL> pair_list; - - struct OctantOwner { - Octant *octant = nullptr; - typename List<Element *, AL>::Element *E; - }; // an element can be in max 8 octants - - List<OctantOwner, AL> octant_owners; - - Element() {} - }; - - struct PairData { - int refcount; - bool intersect; - Element *A, *B; - void *ud = nullptr; - typename List<PairData *, AL>::Element *eA, *eB; - }; - - typedef HashMap<OctreeElementID, Element, Comparator<OctreeElementID>, AL> ElementMap; - typedef HashMap<PairKey, PairData, Comparator<PairKey>, AL> PairMap; - ElementMap element_map; - PairMap pair_map; - - PairCallback pair_callback = nullptr; - UnpairCallback unpair_callback = nullptr; - void *pair_callback_userdata = nullptr; - void *unpair_callback_userdata = nullptr; - - OctreeElementID last_element_id = 1; - uint64_t pass = 1; - - real_t unit_size = 1.0; - Octant *root = nullptr; - int octant_count = 0; - int pair_count = 0; - - _FORCE_INLINE_ void _pair_check(PairData *p_pair) { - bool intersect = p_pair->A->aabb.intersects_inclusive(p_pair->B->aabb); - - if (intersect != p_pair->intersect) { - if (intersect) { - if (pair_callback) { - p_pair->ud = pair_callback(pair_callback_userdata, p_pair->A->_id, p_pair->A->userdata, p_pair->A->subindex, p_pair->B->_id, p_pair->B->userdata, p_pair->B->subindex); - } - pair_count++; - } else { - if (unpair_callback) { - unpair_callback(pair_callback_userdata, p_pair->A->_id, p_pair->A->userdata, p_pair->A->subindex, p_pair->B->_id, p_pair->B->userdata, p_pair->B->subindex, p_pair->ud); - } - pair_count--; - } - - p_pair->intersect = intersect; - } - } - - _FORCE_INLINE_ void _pair_reference(Element *p_A, Element *p_B) { - if (p_A == p_B || (p_A->userdata == p_B->userdata && p_A->userdata)) { - return; - } - - if (!(p_A->pairable_type & p_B->pairable_mask) && - !(p_B->pairable_type & p_A->pairable_mask)) { - return; // none can pair with none - } - - PairKey key(p_A->_id, p_B->_id); - typename PairMap::Element *E = pair_map.find(key); - - if (!E) { - PairData pdata; - pdata.refcount = 1; - pdata.A = p_A; - pdata.B = p_B; - pdata.intersect = false; - E = pair_map.insert(key, pdata); - E->get().eA = p_A->pair_list.push_back(&E->get()); - E->get().eB = p_B->pair_list.push_back(&E->get()); - } else { - E->get().refcount++; - } - } - - _FORCE_INLINE_ void _pair_unreference(Element *p_A, Element *p_B) { - if (p_A == p_B) { - return; - } - - PairKey key(p_A->_id, p_B->_id); - typename PairMap::Element *E = pair_map.find(key); - if (!E) { - return; // no pair - } - - E->get().refcount--; - - if (E->get().refcount == 0) { - // bye pair - - if (E->get().intersect) { - if (unpair_callback) { - unpair_callback(pair_callback_userdata, p_A->_id, p_A->userdata, p_A->subindex, p_B->_id, p_B->userdata, p_B->subindex, E->get().ud); - } - - pair_count--; - } - - if (p_A == E->get().B) { - //may be reaching inverted - SWAP(p_A, p_B); - } - - p_A->pair_list.erase(E->get().eA); - p_B->pair_list.erase(E->get().eB); - pair_map.erase(E); - } - } - - _FORCE_INLINE_ void _element_check_pairs(Element *p_element) { - typename List<PairData *, AL>::Element *E = p_element->pair_list.front(); - while (E) { - _pair_check(E->get()); - E = E->next(); - } - } - - _FORCE_INLINE_ void _optimize() { - while (root && root->children_count < 2 && !root->elements.size() && !(use_pairs && root->pairable_elements.size())) { - Octant *new_root = nullptr; - if (root->children_count == 1) { - for (int i = 0; i < 8; i++) { - if (root->children[i]) { - new_root = root->children[i]; - root->children[i] = nullptr; - break; - } - } - ERR_FAIL_COND(!new_root); - new_root->parent = nullptr; - new_root->parent_index = -1; - } - - memdelete_allocator<Octant, AL>(root); - octant_count--; - root = new_root; - } - } - - void _insert_element(Element *p_element, Octant *p_octant); - void _ensure_valid_root(const AABB &p_aabb); - bool _remove_element_from_octant(Element *p_element, Octant *p_octant, Octant *p_limit = nullptr); - void _remove_element(Element *p_element); - void _pair_element(Element *p_element, Octant *p_octant); - void _unpair_element(Element *p_element, Octant *p_octant); - - struct _CullConvexData { - const Plane *planes; - int plane_count; - const Vector3 *points; - int point_count; - T **result_array; - int *result_idx = nullptr; - int result_max; - uint32_t mask; - }; - - void _cull_convex(Octant *p_octant, _CullConvexData *p_cull); - void _cull_aabb(Octant *p_octant, const AABB &p_aabb, T **p_result_array, int *p_result_idx, int p_result_max, int *p_subindex_array, uint32_t p_mask); - void _cull_segment(Octant *p_octant, const Vector3 &p_from, const Vector3 &p_to, T **p_result_array, int *p_result_idx, int p_result_max, int *p_subindex_array, uint32_t p_mask); - void _cull_point(Octant *p_octant, const Vector3 &p_point, T **p_result_array, int *p_result_idx, int p_result_max, int *p_subindex_array, uint32_t p_mask); - - void _remove_tree(Octant *p_octant) { - if (!p_octant) { - return; - } - - for (int i = 0; i < 8; i++) { - if (p_octant->children[i]) { - _remove_tree(p_octant->children[i]); - } - } - - memdelete_allocator<Octant, AL>(p_octant); - } - -public: - OctreeElementID create(T *p_userdata, const AABB &p_aabb = AABB(), int p_subindex = 0, bool p_pairable = false, uint32_t p_pairable_type = 0, uint32_t pairable_mask = 1); - void move(OctreeElementID p_id, const AABB &p_aabb); - void set_pairable(OctreeElementID p_id, bool p_pairable = false, uint32_t p_pairable_type = 0, uint32_t pairable_mask = 1); - void erase(OctreeElementID p_id); - - bool is_pairable(OctreeElementID p_id) const; - T *get(OctreeElementID p_id) const; - int get_subindex(OctreeElementID p_id) const; - - int cull_convex(const Vector<Plane> &p_convex, T **p_result_array, int p_result_max, uint32_t p_mask = 0xFFFFFFFF); - int cull_aabb(const AABB &p_aabb, T **p_result_array, int p_result_max, int *p_subindex_array = nullptr, uint32_t p_mask = 0xFFFFFFFF); - int cull_segment(const Vector3 &p_from, const Vector3 &p_to, T **p_result_array, int p_result_max, int *p_subindex_array = nullptr, uint32_t p_mask = 0xFFFFFFFF); - - int cull_point(const Vector3 &p_point, T **p_result_array, int p_result_max, int *p_subindex_array = nullptr, uint32_t p_mask = 0xFFFFFFFF); - - void set_pair_callback(PairCallback p_callback, void *p_userdata); - void set_unpair_callback(UnpairCallback p_callback, void *p_userdata); - - int get_octant_count() const { return octant_count; } - int get_pair_count() const { return pair_count; } - Octree(real_t p_unit_size = 1.0); - ~Octree() { _remove_tree(root); } -}; - -/* PRIVATE FUNCTIONS */ - -template <class T, bool use_pairs, class AL> -T *Octree<T, use_pairs, AL>::get(OctreeElementID p_id) const { - const typename ElementMap::Element *E = element_map.find(p_id); - ERR_FAIL_COND_V(!E, nullptr); - return E->get().userdata; -} - -template <class T, bool use_pairs, class AL> -bool Octree<T, use_pairs, AL>::is_pairable(OctreeElementID p_id) const { - const typename ElementMap::Element *E = element_map.find(p_id); - ERR_FAIL_COND_V(!E, false); - return E->get().pairable; -} - -template <class T, bool use_pairs, class AL> -int Octree<T, use_pairs, AL>::get_subindex(OctreeElementID p_id) const { - const typename ElementMap::Element *E = element_map.find(p_id); - ERR_FAIL_COND_V(!E, -1); - return E->get().subindex; -} - -#define OCTREE_DIVISOR 4 - -template <class T, bool use_pairs, class AL> -void Octree<T, use_pairs, AL>::_insert_element(Element *p_element, Octant *p_octant) { - real_t element_size = p_element->aabb.get_longest_axis_size() * 1.01; // avoid precision issues - - if (p_octant->aabb.size.x / OCTREE_DIVISOR < element_size) { - //if (p_octant->aabb.size.x*0.5 < element_size) { - /* at smallest possible size for the element */ - typename Element::OctantOwner owner; - owner.octant = p_octant; - - if (use_pairs && p_element->pairable) { - p_octant->pairable_elements.push_back(p_element); - owner.E = p_octant->pairable_elements.back(); - } else { - p_octant->elements.push_back(p_element); - owner.E = p_octant->elements.back(); - } - - p_element->octant_owners.push_back(owner); - - if (p_element->common_parent == nullptr) { - p_element->common_parent = p_octant; - p_element->container_aabb = p_octant->aabb; - } else { - p_element->container_aabb.merge_with(p_octant->aabb); - } - - if (use_pairs && p_octant->children_count > 0) { - pass++; //elements below this only get ONE reference added - - for (int i = 0; i < 8; i++) { - if (p_octant->children[i]) { - _pair_element(p_element, p_octant->children[i]); - } - } - } - } else { - /* not big enough, send it to subitems */ - int splits = 0; - bool candidate = p_element->common_parent == nullptr; - - for (int i = 0; i < 8; i++) { - if (p_octant->children[i]) { - /* element exists, go straight to it */ - if (p_octant->children[i]->aabb.intersects_inclusive(p_element->aabb)) { - _insert_element(p_element, p_octant->children[i]); - splits++; - } - } else { - /* check against AABB where child should be */ - - AABB aabb = p_octant->aabb; - aabb.size *= 0.5; - - if (i & 1) { - aabb.position.x += aabb.size.x; - } - if (i & 2) { - aabb.position.y += aabb.size.y; - } - if (i & 4) { - aabb.position.z += aabb.size.z; - } - - if (aabb.intersects_inclusive(p_element->aabb)) { - /* if actually intersects, create the child */ - - Octant *child = memnew_allocator(Octant, AL); - p_octant->children[i] = child; - child->parent = p_octant; - child->parent_index = i; - - child->aabb = aabb; - - p_octant->children_count++; - - _insert_element(p_element, child); - octant_count++; - splits++; - } - } - } - - if (candidate && splits > 1) { - p_element->common_parent = p_octant; - } - } - - if (use_pairs) { - typename List<Element *, AL>::Element *E = p_octant->pairable_elements.front(); - - while (E) { - _pair_reference(p_element, E->get()); - E = E->next(); - } - - if (p_element->pairable) { - // and always test non-pairable if element is pairable - E = p_octant->elements.front(); - while (E) { - _pair_reference(p_element, E->get()); - E = E->next(); - } - } - } -} - -template <class T, bool use_pairs, class AL> -void Octree<T, use_pairs, AL>::_ensure_valid_root(const AABB &p_aabb) { - if (!root) { - // octre is empty - - AABB base(Vector3(), Vector3(1.0, 1.0, 1.0) * unit_size); - - while (!base.encloses(p_aabb)) { - if (ABS(base.position.x + base.size.x) <= ABS(base.position.x)) { - /* grow towards positive */ - base.size *= 2.0; - } else { - base.position -= base.size; - base.size *= 2.0; - } - } - - root = memnew_allocator(Octant, AL); - - root->parent = nullptr; - root->parent_index = -1; - root->aabb = base; - - octant_count++; - - } else { - AABB base = root->aabb; - - while (!base.encloses(p_aabb)) { - ERR_FAIL_COND_MSG(base.size.x > OCTREE_SIZE_LIMIT, "Octree upper size limit reached, does the AABB supplied contain NAN?"); - - Octant *gp = memnew_allocator(Octant, AL); - octant_count++; - root->parent = gp; - - if (ABS(base.position.x + base.size.x) <= ABS(base.position.x)) { - /* grow towards positive */ - base.size *= 2.0; - gp->aabb = base; - gp->children[0] = root; - root->parent_index = 0; - } else { - base.position -= base.size; - base.size *= 2.0; - gp->aabb = base; - gp->children[(1 << 0) | (1 << 1) | (1 << 2)] = root; // add at all-positive - root->parent_index = (1 << 0) | (1 << 1) | (1 << 2); - } - - gp->children_count = 1; - root = gp; - } - } -} - -template <class T, bool use_pairs, class AL> -bool Octree<T, use_pairs, AL>::_remove_element_from_octant(Element *p_element, Octant *p_octant, Octant *p_limit) { - bool octant_removed = false; - - while (true) { - // check all exit conditions - - if (p_octant == p_limit) { // reached limit, nothing to erase, exit - return octant_removed; - } - - bool unpaired = false; - - if (use_pairs && p_octant->last_pass != pass) { - // check whether we should unpair stuff - // always test pairable - typename List<Element *, AL>::Element *E = p_octant->pairable_elements.front(); - while (E) { - _pair_unreference(p_element, E->get()); - E = E->next(); - } - if (p_element->pairable) { - // and always test non-pairable if element is pairable - E = p_octant->elements.front(); - while (E) { - _pair_unreference(p_element, E->get()); - E = E->next(); - } - } - p_octant->last_pass = pass; - unpaired = true; - } - - bool removed = false; - - Octant *parent = p_octant->parent; - - if (p_octant->children_count == 0 && p_octant->elements.is_empty() && p_octant->pairable_elements.is_empty()) { - // erase octant - - if (p_octant == root) { // won't have a parent, just erase - - root = nullptr; - } else { - ERR_FAIL_INDEX_V(p_octant->parent_index, 8, octant_removed); - - parent->children[p_octant->parent_index] = nullptr; - parent->children_count--; - } - - memdelete_allocator<Octant, AL>(p_octant); - octant_count--; - removed = true; - octant_removed = true; - } - - if (!removed && !unpaired) { - return octant_removed; // no reason to keep going up anymore! was already visited and was not removed - } - - p_octant = parent; - } - - return octant_removed; -} - -template <class T, bool use_pairs, class AL> -void Octree<T, use_pairs, AL>::_unpair_element(Element *p_element, Octant *p_octant) { - // always test pairable - typename List<Element *, AL>::Element *E = p_octant->pairable_elements.front(); - while (E) { - if (E->get()->last_pass != pass) { // only remove ONE reference - _pair_unreference(p_element, E->get()); - E->get()->last_pass = pass; - } - E = E->next(); - } - - if (p_element->pairable) { - // and always test non-pairable if element is pairable - E = p_octant->elements.front(); - while (E) { - if (E->get()->last_pass != pass) { // only remove ONE reference - _pair_unreference(p_element, E->get()); - E->get()->last_pass = pass; - } - E = E->next(); - } - } - - p_octant->last_pass = pass; - - if (p_octant->children_count == 0) { - return; // small optimization for leafs - } - - for (int i = 0; i < 8; i++) { - if (p_octant->children[i]) { - _unpair_element(p_element, p_octant->children[i]); - } - } -} - -template <class T, bool use_pairs, class AL> -void Octree<T, use_pairs, AL>::_pair_element(Element *p_element, Octant *p_octant) { - // always test pairable - - typename List<Element *, AL>::Element *E = p_octant->pairable_elements.front(); - - while (E) { - if (E->get()->last_pass != pass) { // only get ONE reference - _pair_reference(p_element, E->get()); - E->get()->last_pass = pass; - } - E = E->next(); - } - - if (p_element->pairable) { - // and always test non-pairable if element is pairable - E = p_octant->elements.front(); - while (E) { - if (E->get()->last_pass != pass) { // only get ONE reference - _pair_reference(p_element, E->get()); - E->get()->last_pass = pass; - } - E = E->next(); - } - } - p_octant->last_pass = pass; - - if (p_octant->children_count == 0) { - return; // small optimization for leafs - } - - for (int i = 0; i < 8; i++) { - if (p_octant->children[i]) { - _pair_element(p_element, p_octant->children[i]); - } - } -} - -template <class T, bool use_pairs, class AL> -void Octree<T, use_pairs, AL>::_remove_element(Element *p_element) { - pass++; // will do a new pass for this - - typename List<typename Element::OctantOwner, AL>::Element *I = p_element->octant_owners.front(); - - /* FIRST remove going up normally */ - for (; I; I = I->next()) { - Octant *o = I->get().octant; - - if (!use_pairs) { // small speedup - o->elements.erase(I->get().E); - } - - _remove_element_from_octant(p_element, o); - } - - /* THEN remove going down */ - - I = p_element->octant_owners.front(); - - if (use_pairs) { - for (; I; I = I->next()) { - Octant *o = I->get().octant; - - // erase children pairs, they are erased ONCE even if repeated - pass++; - for (int i = 0; i < 8; i++) { - if (o->children[i]) { - _unpair_element(p_element, o->children[i]); - } - } - - if (p_element->pairable) { - o->pairable_elements.erase(I->get().E); - } else { - o->elements.erase(I->get().E); - } - } - } - - p_element->octant_owners.clear(); - - if (use_pairs) { - int remaining = p_element->pair_list.size(); - //p_element->pair_list.clear(); - ERR_FAIL_COND(remaining); - } -} - -template <class T, bool use_pairs, class AL> -OctreeElementID Octree<T, use_pairs, AL>::create(T *p_userdata, const AABB &p_aabb, int p_subindex, bool p_pairable, uint32_t p_pairable_type, uint32_t p_pairable_mask) { -// check for AABB validity -#ifdef DEBUG_ENABLED - ERR_FAIL_COND_V(p_aabb.position.x > 1e15 || p_aabb.position.x < -1e15, 0); - ERR_FAIL_COND_V(p_aabb.position.y > 1e15 || p_aabb.position.y < -1e15, 0); - ERR_FAIL_COND_V(p_aabb.position.z > 1e15 || p_aabb.position.z < -1e15, 0); - ERR_FAIL_COND_V(p_aabb.size.x > 1e15 || p_aabb.size.x < 0.0, 0); - ERR_FAIL_COND_V(p_aabb.size.y > 1e15 || p_aabb.size.y < 0.0, 0); - ERR_FAIL_COND_V(p_aabb.size.z > 1e15 || p_aabb.size.z < 0.0, 0); - ERR_FAIL_COND_V(Math::is_nan(p_aabb.size.x), 0); - ERR_FAIL_COND_V(Math::is_nan(p_aabb.size.y), 0); - ERR_FAIL_COND_V(Math::is_nan(p_aabb.size.z), 0); - -#endif - typename ElementMap::Element *E = element_map.insert(last_element_id++, - Element()); - Element &e = E->get(); - - e.aabb = p_aabb; - e.userdata = p_userdata; - e.subindex = p_subindex; - e.last_pass = 0; - e.octree = this; - e.pairable = p_pairable; - e.pairable_type = p_pairable_type; - e.pairable_mask = p_pairable_mask; - e._id = last_element_id - 1; - - if (!e.aabb.has_no_surface()) { - _ensure_valid_root(p_aabb); - _insert_element(&e, root); - if (use_pairs) { - _element_check_pairs(&e); - } - } - - return last_element_id - 1; -} - -template <class T, bool use_pairs, class AL> -void Octree<T, use_pairs, AL>::move(OctreeElementID p_id, const AABB &p_aabb) { -#ifdef DEBUG_ENABLED - // check for AABB validity - ERR_FAIL_COND(p_aabb.position.x > 1e15 || p_aabb.position.x < -1e15); - ERR_FAIL_COND(p_aabb.position.y > 1e15 || p_aabb.position.y < -1e15); - ERR_FAIL_COND(p_aabb.position.z > 1e15 || p_aabb.position.z < -1e15); - ERR_FAIL_COND(p_aabb.size.x > 1e15 || p_aabb.size.x < 0.0); - ERR_FAIL_COND(p_aabb.size.y > 1e15 || p_aabb.size.y < 0.0); - ERR_FAIL_COND(p_aabb.size.z > 1e15 || p_aabb.size.z < 0.0); - ERR_FAIL_COND(Math::is_nan(p_aabb.size.x)); - ERR_FAIL_COND(Math::is_nan(p_aabb.size.y)); - ERR_FAIL_COND(Math::is_nan(p_aabb.size.z)); -#endif - typename ElementMap::Element *E = element_map.find(p_id); - ERR_FAIL_COND(!E); - Element &e = E->get(); - - bool old_has_surf = !e.aabb.has_no_surface(); - bool new_has_surf = !p_aabb.has_no_surface(); - - if (old_has_surf != new_has_surf) { - if (old_has_surf) { - _remove_element(&e); // removing - e.common_parent = nullptr; - e.aabb = AABB(); - _optimize(); - } else { - _ensure_valid_root(p_aabb); // inserting - e.common_parent = nullptr; - e.aabb = p_aabb; - _insert_element(&e, root); - if (use_pairs) { - _element_check_pairs(&e); - } - } - - return; - } - - if (!old_has_surf) { // doing nothing - return; - } - - // it still is enclosed in the same AABB it was assigned to - if (e.container_aabb.encloses(p_aabb)) { - e.aabb = p_aabb; - if (use_pairs) { - _element_check_pairs(&e); // must check pairs anyway - } - - return; - } - - AABB combined = e.aabb; - combined.merge_with(p_aabb); - _ensure_valid_root(combined); - - ERR_FAIL_COND(e.octant_owners.front() == nullptr); - - /* FIND COMMON PARENT */ - - List<typename Element::OctantOwner, AL> owners = e.octant_owners; // save the octant owners - Octant *common_parent = e.common_parent; - ERR_FAIL_COND(!common_parent); - - //src is now the place towards where insertion is going to happen - pass++; - - while (common_parent && !common_parent->aabb.encloses(p_aabb)) { - common_parent = common_parent->parent; - } - - ERR_FAIL_COND(!common_parent); - - //prepare for reinsert - e.octant_owners.clear(); - e.common_parent = nullptr; - e.aabb = p_aabb; - - _insert_element(&e, common_parent); // reinsert from this point - - pass++; - - for (typename List<typename Element::OctantOwner, AL>::Element *F = owners.front(); F;) { - Octant *o = F->get().octant; - typename List<typename Element::OctantOwner, AL>::Element *N = F->next(); - - if (use_pairs && e.pairable) { - o->pairable_elements.erase(F->get().E); - } else { - o->elements.erase(F->get().E); - } - - if (_remove_element_from_octant(&e, o, common_parent->parent)) { - owners.erase(F); - } - - F = N; - } - - if (use_pairs) { - //unpair child elements in anything that survived - for (typename List<typename Element::OctantOwner, AL>::Element *F = owners.front(); F; F = F->next()) { - Octant *o = F->get().octant; - - // erase children pairs, unref ONCE - pass++; - for (int i = 0; i < 8; i++) { - if (o->children[i]) { - _unpair_element(&e, o->children[i]); - } - } - } - - _element_check_pairs(&e); - } - - _optimize(); -} - -template <class T, bool use_pairs, class AL> -void Octree<T, use_pairs, AL>::set_pairable(OctreeElementID p_id, bool p_pairable, uint32_t p_pairable_type, uint32_t p_pairable_mask) { - typename ElementMap::Element *E = element_map.find(p_id); - ERR_FAIL_COND(!E); - - Element &e = E->get(); - - if (p_pairable == e.pairable && e.pairable_type == p_pairable_type && e.pairable_mask == p_pairable_mask) { - return; // no changes, return - } - - if (!e.aabb.has_no_surface()) { - _remove_element(&e); - } - - e.pairable = p_pairable; - e.pairable_type = p_pairable_type; - e.pairable_mask = p_pairable_mask; - e.common_parent = nullptr; - - if (!e.aabb.has_no_surface()) { - _ensure_valid_root(e.aabb); - _insert_element(&e, root); - if (use_pairs) { - _element_check_pairs(&e); - } - } -} - -template <class T, bool use_pairs, class AL> -void Octree<T, use_pairs, AL>::erase(OctreeElementID p_id) { - typename ElementMap::Element *E = element_map.find(p_id); - ERR_FAIL_COND(!E); - - Element &e = E->get(); - - if (!e.aabb.has_no_surface()) { - _remove_element(&e); - } - - element_map.erase(p_id); - _optimize(); -} - -template <class T, bool use_pairs, class AL> -void Octree<T, use_pairs, AL>::_cull_convex(Octant *p_octant, _CullConvexData *p_cull) { - if (*p_cull->result_idx == p_cull->result_max) { - return; //pointless - } - - if (!p_octant->elements.is_empty()) { - typename List<Element *, AL>::Element *I; - I = p_octant->elements.front(); - - for (; I; I = I->next()) { - Element *e = I->get(); - - if (e->last_pass == pass || (use_pairs && !(e->pairable_type & p_cull->mask))) { - continue; - } - e->last_pass = pass; - - if (e->aabb.intersects_convex_shape(p_cull->planes, p_cull->plane_count, p_cull->points, p_cull->point_count)) { - if (*p_cull->result_idx < p_cull->result_max) { - p_cull->result_array[*p_cull->result_idx] = e->userdata; - (*p_cull->result_idx)++; - } else { - return; // pointless to continue - } - } - } - } - - if (use_pairs && !p_octant->pairable_elements.is_empty()) { - typename List<Element *, AL>::Element *I; - I = p_octant->pairable_elements.front(); - - for (; I; I = I->next()) { - Element *e = I->get(); - - if (e->last_pass == pass || (use_pairs && !(e->pairable_type & p_cull->mask))) { - continue; - } - e->last_pass = pass; - - if (e->aabb.intersects_convex_shape(p_cull->planes, p_cull->plane_count, p_cull->points, p_cull->point_count)) { - if (*p_cull->result_idx < p_cull->result_max) { - p_cull->result_array[*p_cull->result_idx] = e->userdata; - (*p_cull->result_idx)++; - } else { - return; // pointless to continue - } - } - } - } - - for (int i = 0; i < 8; i++) { - if (p_octant->children[i] && p_octant->children[i]->aabb.intersects_convex_shape(p_cull->planes, p_cull->plane_count, p_cull->points, p_cull->point_count)) { - _cull_convex(p_octant->children[i], p_cull); - } - } -} - -template <class T, bool use_pairs, class AL> -void Octree<T, use_pairs, AL>::_cull_aabb(Octant *p_octant, const AABB &p_aabb, T **p_result_array, int *p_result_idx, int p_result_max, int *p_subindex_array, uint32_t p_mask) { - if (*p_result_idx == p_result_max) { - return; //pointless - } - - if (!p_octant->elements.is_empty()) { - typename List<Element *, AL>::Element *I; - I = p_octant->elements.front(); - for (; I; I = I->next()) { - Element *e = I->get(); - - if (e->last_pass == pass || (use_pairs && !(e->pairable_type & p_mask))) { - continue; - } - e->last_pass = pass; - - if (p_aabb.intersects_inclusive(e->aabb)) { - if (*p_result_idx < p_result_max) { - p_result_array[*p_result_idx] = e->userdata; - if (p_subindex_array) { - p_subindex_array[*p_result_idx] = e->subindex; - } - - (*p_result_idx)++; - } else { - return; // pointless to continue - } - } - } - } - - if (use_pairs && !p_octant->pairable_elements.is_empty()) { - typename List<Element *, AL>::Element *I; - I = p_octant->pairable_elements.front(); - for (; I; I = I->next()) { - Element *e = I->get(); - - if (e->last_pass == pass || (use_pairs && !(e->pairable_type & p_mask))) { - continue; - } - e->last_pass = pass; - - if (p_aabb.intersects_inclusive(e->aabb)) { - if (*p_result_idx < p_result_max) { - p_result_array[*p_result_idx] = e->userdata; - if (p_subindex_array) { - p_subindex_array[*p_result_idx] = e->subindex; - } - (*p_result_idx)++; - } else { - return; // pointless to continue - } - } - } - } - - for (int i = 0; i < 8; i++) { - if (p_octant->children[i] && p_octant->children[i]->aabb.intersects_inclusive(p_aabb)) { - _cull_aabb(p_octant->children[i], p_aabb, p_result_array, p_result_idx, p_result_max, p_subindex_array, p_mask); - } - } -} - -template <class T, bool use_pairs, class AL> -void Octree<T, use_pairs, AL>::_cull_segment(Octant *p_octant, const Vector3 &p_from, const Vector3 &p_to, T **p_result_array, int *p_result_idx, int p_result_max, int *p_subindex_array, uint32_t p_mask) { - if (*p_result_idx == p_result_max) { - return; //pointless - } - - if (!p_octant->elements.is_empty()) { - typename List<Element *, AL>::Element *I; - I = p_octant->elements.front(); - for (; I; I = I->next()) { - Element *e = I->get(); - - if (e->last_pass == pass || (use_pairs && !(e->pairable_type & p_mask))) { - continue; - } - e->last_pass = pass; - - if (e->aabb.intersects_segment(p_from, p_to)) { - if (*p_result_idx < p_result_max) { - p_result_array[*p_result_idx] = e->userdata; - if (p_subindex_array) { - p_subindex_array[*p_result_idx] = e->subindex; - } - (*p_result_idx)++; - - } else { - return; // pointless to continue - } - } - } - } - - if (use_pairs && !p_octant->pairable_elements.is_empty()) { - typename List<Element *, AL>::Element *I; - I = p_octant->pairable_elements.front(); - for (; I; I = I->next()) { - Element *e = I->get(); - - if (e->last_pass == pass || (use_pairs && !(e->pairable_type & p_mask))) { - continue; - } - - e->last_pass = pass; - - if (e->aabb.intersects_segment(p_from, p_to)) { - if (*p_result_idx < p_result_max) { - p_result_array[*p_result_idx] = e->userdata; - if (p_subindex_array) { - p_subindex_array[*p_result_idx] = e->subindex; - } - - (*p_result_idx)++; - - } else { - return; // pointless to continue - } - } - } - } - - for (int i = 0; i < 8; i++) { - if (p_octant->children[i] && p_octant->children[i]->aabb.intersects_segment(p_from, p_to)) { - _cull_segment(p_octant->children[i], p_from, p_to, p_result_array, p_result_idx, p_result_max, p_subindex_array, p_mask); - } - } -} - -template <class T, bool use_pairs, class AL> -void Octree<T, use_pairs, AL>::_cull_point(Octant *p_octant, const Vector3 &p_point, T **p_result_array, int *p_result_idx, int p_result_max, int *p_subindex_array, uint32_t p_mask) { - if (*p_result_idx == p_result_max) { - return; //pointless - } - - if (!p_octant->elements.is_empty()) { - typename List<Element *, AL>::Element *I; - I = p_octant->elements.front(); - for (; I; I = I->next()) { - Element *e = I->get(); - - if (e->last_pass == pass || (use_pairs && !(e->pairable_type & p_mask))) { - continue; - } - e->last_pass = pass; - - if (e->aabb.has_point(p_point)) { - if (*p_result_idx < p_result_max) { - p_result_array[*p_result_idx] = e->userdata; - if (p_subindex_array) { - p_subindex_array[*p_result_idx] = e->subindex; - } - (*p_result_idx)++; - - } else { - return; // pointless to continue - } - } - } - } - - if (use_pairs && !p_octant->pairable_elements.is_empty()) { - typename List<Element *, AL>::Element *I; - I = p_octant->pairable_elements.front(); - for (; I; I = I->next()) { - Element *e = I->get(); - - if (e->last_pass == pass || (use_pairs && !(e->pairable_type & p_mask))) { - continue; - } - - e->last_pass = pass; - - if (e->aabb.has_point(p_point)) { - if (*p_result_idx < p_result_max) { - p_result_array[*p_result_idx] = e->userdata; - if (p_subindex_array) { - p_subindex_array[*p_result_idx] = e->subindex; - } - - (*p_result_idx)++; - - } else { - return; // pointless to continue - } - } - } - } - - for (int i = 0; i < 8; i++) { - //could be optimized.. - if (p_octant->children[i] && p_octant->children[i]->aabb.has_point(p_point)) { - _cull_point(p_octant->children[i], p_point, p_result_array, p_result_idx, p_result_max, p_subindex_array, p_mask); - } - } -} - -template <class T, bool use_pairs, class AL> -int Octree<T, use_pairs, AL>::cull_convex(const Vector<Plane> &p_convex, T **p_result_array, int p_result_max, uint32_t p_mask) { - if (!root || p_convex.size() == 0) { - return 0; - } - - Vector<Vector3> convex_points = Geometry3D::compute_convex_mesh_points(&p_convex[0], p_convex.size()); - if (convex_points.size() == 0) { - return 0; - } - - int result_count = 0; - pass++; - _CullConvexData cdata; - cdata.planes = &p_convex[0]; - cdata.plane_count = p_convex.size(); - cdata.points = &convex_points[0]; - cdata.point_count = convex_points.size(); - cdata.result_array = p_result_array; - cdata.result_max = p_result_max; - cdata.result_idx = &result_count; - cdata.mask = p_mask; - - _cull_convex(root, &cdata); - - return result_count; -} - -template <class T, bool use_pairs, class AL> -int Octree<T, use_pairs, AL>::cull_aabb(const AABB &p_aabb, T **p_result_array, int p_result_max, int *p_subindex_array, uint32_t p_mask) { - if (!root) { - return 0; - } - - int result_count = 0; - pass++; - _cull_aabb(root, p_aabb, p_result_array, &result_count, p_result_max, p_subindex_array, p_mask); - - return result_count; -} - -template <class T, bool use_pairs, class AL> -int Octree<T, use_pairs, AL>::cull_segment(const Vector3 &p_from, const Vector3 &p_to, T **p_result_array, int p_result_max, int *p_subindex_array, uint32_t p_mask) { - if (!root) { - return 0; - } - - int result_count = 0; - pass++; - _cull_segment(root, p_from, p_to, p_result_array, &result_count, p_result_max, p_subindex_array, p_mask); - - return result_count; -} - -template <class T, bool use_pairs, class AL> -int Octree<T, use_pairs, AL>::cull_point(const Vector3 &p_point, T **p_result_array, int p_result_max, int *p_subindex_array, uint32_t p_mask) { - if (!root) { - return 0; - } - - int result_count = 0; - pass++; - _cull_point(root, p_point, p_result_array, &result_count, p_result_max, p_subindex_array, p_mask); - - return result_count; -} - -template <class T, bool use_pairs, class AL> -void Octree<T, use_pairs, AL>::set_pair_callback(PairCallback p_callback, void *p_userdata) { - pair_callback = p_callback; - pair_callback_userdata = p_userdata; -} - -template <class T, bool use_pairs, class AL> -void Octree<T, use_pairs, AL>::set_unpair_callback(UnpairCallback p_callback, void *p_userdata) { - unpair_callback = p_callback; - unpair_callback_userdata = p_userdata; -} - -template <class T, bool use_pairs, class AL> -Octree<T, use_pairs, AL>::Octree(real_t p_unit_size) { - unit_size = p_unit_size; -} - -#endif // OCTREE_H diff --git a/core/math/vector2.cpp b/core/math/vector2.cpp index a27227905c..d9b5d55454 100644 --- a/core/math/vector2.cpp +++ b/core/math/vector2.cpp @@ -152,13 +152,6 @@ Vector2 Vector2::limit_length(const real_t p_len) const { return v; } -Vector2 Vector2::cubic_interpolate(const Vector2 &p_b, const Vector2 &p_pre_a, const Vector2 &p_post_b, const real_t p_weight) const { - Vector2 res = *this; - res.x = Math::cubic_interpolate(res.x, p_b.x, p_pre_a.x, p_post_b.x, p_weight); - res.y = Math::cubic_interpolate(res.y, p_b.y, p_pre_a.y, p_post_b.y, p_weight); - return res; -} - Vector2 Vector2::move_toward(const Vector2 &p_to, const real_t p_delta) const { Vector2 v = *this; Vector2 vd = p_to - v; diff --git a/core/math/vector2.h b/core/math/vector2.h index bd67299f33..91d3d3a56b 100644 --- a/core/math/vector2.h +++ b/core/math/vector2.h @@ -113,7 +113,9 @@ struct _NO_DISCARD_ Vector2 { _FORCE_INLINE_ Vector2 lerp(const Vector2 &p_to, const real_t p_weight) const; _FORCE_INLINE_ Vector2 slerp(const Vector2 &p_to, const real_t p_weight) const; - Vector2 cubic_interpolate(const Vector2 &p_b, const Vector2 &p_pre_a, const Vector2 &p_post_b, const real_t p_weight) const; + _FORCE_INLINE_ Vector2 cubic_interpolate(const Vector2 &p_b, const Vector2 &p_pre_a, const Vector2 &p_post_b, const real_t p_weight) const; + _FORCE_INLINE_ Vector2 bezier_interpolate(const Vector2 &p_control_1, const Vector2 &p_control_2, const Vector2 &p_end, const real_t p_t) const; + Vector2 move_toward(const Vector2 &p_to, const real_t p_delta) const; Vector2 slide(const Vector2 &p_normal) const; @@ -261,6 +263,26 @@ Vector2 Vector2::slerp(const Vector2 &p_to, const real_t p_weight) const { return rotated(angle * p_weight) * (result_length / start_length); } +Vector2 Vector2::cubic_interpolate(const Vector2 &p_b, const Vector2 &p_pre_a, const Vector2 &p_post_b, const real_t p_weight) const { + Vector2 res = *this; + res.x = Math::cubic_interpolate(res.x, p_b.x, p_pre_a.x, p_post_b.x, p_weight); + res.y = Math::cubic_interpolate(res.y, p_b.y, p_pre_a.y, p_post_b.y, p_weight); + return res; +} + +Vector2 Vector2::bezier_interpolate(const Vector2 &p_control_1, const Vector2 &p_control_2, const Vector2 &p_end, const real_t p_t) const { + Vector2 res = *this; + + /* Formula from Wikipedia article on Bezier curves. */ + real_t omt = (1.0 - p_t); + real_t omt2 = omt * omt; + real_t omt3 = omt2 * omt; + real_t t2 = p_t * p_t; + real_t t3 = t2 * p_t; + + return res * omt3 + p_control_1 * omt2 * p_t * 3.0 + p_control_2 * omt * t2 * 3.0 + p_end * t3; +} + Vector2 Vector2::direction_to(const Vector2 &p_to) const { Vector2 ret(p_to.x - x, p_to.y - y); ret.normalize(); diff --git a/core/math/vector3.cpp b/core/math/vector3.cpp index f94f39b7f2..d71d365053 100644 --- a/core/math/vector3.cpp +++ b/core/math/vector3.cpp @@ -85,14 +85,6 @@ Vector3 Vector3::limit_length(const real_t p_len) const { return v; } -Vector3 Vector3::cubic_interpolate(const Vector3 &p_b, const Vector3 &p_pre_a, const Vector3 &p_post_b, const real_t p_weight) const { - Vector3 res = *this; - res.x = Math::cubic_interpolate(res.x, p_b.x, p_pre_a.x, p_post_b.x, p_weight); - res.y = Math::cubic_interpolate(res.y, p_b.y, p_pre_a.y, p_post_b.y, p_weight); - res.z = Math::cubic_interpolate(res.z, p_b.z, p_pre_a.z, p_post_b.z, p_weight); - return res; -} - Vector3 Vector3::move_toward(const Vector3 &p_to, const real_t p_delta) const { Vector3 v = *this; Vector3 vd = p_to - v; diff --git a/core/math/vector3.h b/core/math/vector3.h index 8891532f42..970416234d 100644 --- a/core/math/vector3.h +++ b/core/math/vector3.h @@ -104,7 +104,9 @@ struct _NO_DISCARD_ Vector3 { _FORCE_INLINE_ Vector3 lerp(const Vector3 &p_to, const real_t p_weight) const; _FORCE_INLINE_ Vector3 slerp(const Vector3 &p_to, const real_t p_weight) const; - Vector3 cubic_interpolate(const Vector3 &p_b, const Vector3 &p_pre_a, const Vector3 &p_post_b, const real_t p_weight) const; + _FORCE_INLINE_ Vector3 cubic_interpolate(const Vector3 &p_b, const Vector3 &p_pre_a, const Vector3 &p_post_b, const real_t p_weight) const; + _FORCE_INLINE_ Vector3 bezier_interpolate(const Vector3 &p_control_1, const Vector3 &p_control_2, const Vector3 &p_end, const real_t p_t) const; + Vector3 move_toward(const Vector3 &p_to, const real_t p_delta) const; Vector2 octahedron_encode() const; @@ -227,6 +229,27 @@ Vector3 Vector3::slerp(const Vector3 &p_to, const real_t p_weight) const { return rotated(cross(p_to).normalized(), angle * p_weight) * (result_length / start_length); } +Vector3 Vector3::cubic_interpolate(const Vector3 &p_b, const Vector3 &p_pre_a, const Vector3 &p_post_b, const real_t p_weight) const { + Vector3 res = *this; + res.x = Math::cubic_interpolate(res.x, p_b.x, p_pre_a.x, p_post_b.x, p_weight); + res.y = Math::cubic_interpolate(res.y, p_b.y, p_pre_a.y, p_post_b.y, p_weight); + res.z = Math::cubic_interpolate(res.z, p_b.z, p_pre_a.z, p_post_b.z, p_weight); + return res; +} + +Vector3 Vector3::bezier_interpolate(const Vector3 &p_control_1, const Vector3 &p_control_2, const Vector3 &p_end, const real_t p_t) const { + Vector3 res = *this; + + /* Formula from Wikipedia article on Bezier curves. */ + real_t omt = (1.0 - p_t); + real_t omt2 = omt * omt; + real_t omt3 = omt2 * omt; + real_t t2 = p_t * p_t; + real_t t3 = t2 * p_t; + + return res * omt3 + p_control_1 * omt2 * p_t * 3.0 + p_control_2 * omt * t2 * 3.0 + p_end * t3; +} + real_t Vector3::distance_to(const Vector3 &p_to) const { return (p_to - *this).length(); } |