diff options
Diffstat (limited to 'core/math')
-rw-r--r-- | core/math/a_star.cpp | 85 | ||||
-rw-r--r-- | core/math/a_star.h | 11 | ||||
-rw-r--r-- | core/math/camera_matrix.cpp | 2 | ||||
-rw-r--r-- | core/math/math_funcs.cpp | 15 | ||||
-rw-r--r-- | core/math/math_funcs.h | 62 | ||||
-rw-r--r-- | core/math/matrix3.cpp | 38 | ||||
-rw-r--r-- | core/math/matrix3.h | 15 |
7 files changed, 170 insertions, 58 deletions
diff --git a/core/math/a_star.cpp b/core/math/a_star.cpp index d1afcec18f..7e26761abf 100644 --- a/core/math/a_star.cpp +++ b/core/math/a_star.cpp @@ -42,8 +42,10 @@ int AStar::get_available_point_id() const { } void AStar::add_point(int p_id, const Vector3 &p_pos, real_t p_weight_scale) { + ERR_FAIL_COND(p_id < 0); ERR_FAIL_COND(p_weight_scale < 1); + if (!points.has(p_id)) { Point *pt = memnew(Point); pt->id = p_id; @@ -58,18 +60,35 @@ void AStar::add_point(int p_id, const Vector3 &p_pos, real_t p_weight_scale) { } } -Vector3 AStar::get_point_pos(int p_id) const { +Vector3 AStar::get_point_position(int p_id) const { ERR_FAIL_COND_V(!points.has(p_id), Vector3()); return points[p_id]->pos; } + +void AStar::set_point_position(int p_id, const Vector3 &p_pos) { + + ERR_FAIL_COND(!points.has(p_id)); + + points[p_id]->pos = p_pos; +} + real_t AStar::get_point_weight_scale(int p_id) const { ERR_FAIL_COND_V(!points.has(p_id), 0); return points[p_id]->weight_scale; } + +void AStar::set_point_weight_scale(int p_id, real_t p_weight_scale) { + + ERR_FAIL_COND(!points.has(p_id)); + ERR_FAIL_COND(p_weight_scale < 1); + + points[p_id]->weight_scale = p_weight_scale; +} + void AStar::remove_point(int p_id) { ERR_FAIL_COND(!points.has(p_id)); @@ -130,6 +149,7 @@ bool AStar::has_point(int p_id) const { } Array AStar::get_points() { + Array point_list; for (const Map<int, Point *>::Element *E = points.front(); E; E = E->next()) { @@ -139,6 +159,21 @@ Array AStar::get_points() { return point_list; } +PoolVector<int> AStar::get_point_connections(int p_id) { + + ERR_FAIL_COND_V(!points.has(p_id), PoolVector<int>()); + + PoolVector<int> point_list; + + Point *p = points[p_id]; + + for (int i = 0; i < p->neighbours.size(); i++) { + point_list.push_back(p->neighbours[i]->id); + } + + return point_list; +} + bool AStar::are_points_connected(int p_id, int p_with_id) const { Segment s(p_id, p_with_id); @@ -171,7 +206,8 @@ int AStar::get_closest_point(const Vector3 &p_point) const { return closest_id; } -Vector3 AStar::get_closest_pos_in_segment(const Vector3 &p_point) const { + +Vector3 AStar::get_closest_position_in_segment(const Vector3 &p_point) const { real_t closest_dist = 1e20; bool found = false; @@ -222,15 +258,15 @@ bool AStar::_solve(Point *begin_point, Point *end_point) { while (!found_route) { if (open_list.first() == NULL) { - //could not find path sadly + // No path found break; } - //check open list + // Check open list SelfList<Point> *least_cost_point = NULL; real_t least_cost = 1e30; - //this could be faster (cache previous results) + // TODO: Cache previous results for (SelfList<Point> *E = open_list.first(); E; E = E->next()) { Point *p = E->self(); @@ -246,7 +282,7 @@ bool AStar::_solve(Point *begin_point, Point *end_point) { } Point *p = least_cost_point->self(); - //open the neighbours for search + // Open the neighbours for search int es = p->neighbours.size(); for (int i = 0; i < es; i++) { @@ -256,7 +292,7 @@ bool AStar::_solve(Point *begin_point, Point *end_point) { real_t distance = _compute_cost(p->id, e->id) * e->weight_scale + p->distance; if (e->last_pass == pass) { - //oh this was visited already, can we win the cost? + // Already visited, is this cheaper? if (e->distance > distance) { @@ -264,15 +300,15 @@ bool AStar::_solve(Point *begin_point, Point *end_point) { e->distance = distance; } } else { - //add to open neighbours + // Add to open neighbours e->prev_point = p; e->distance = distance; - e->last_pass = pass; //mark as used + e->last_pass = pass; // Mark as used open_list.add(&e->list); if (e == end_point) { - //oh my reached end! stop algorithm + // End reached; stop algorithm found_route = true; break; } @@ -285,7 +321,7 @@ bool AStar::_solve(Point *begin_point, Point *end_point) { open_list.remove(least_cost_point); } - //clear the openf list + // Clear the openf list while (open_list.first()) { open_list.remove(open_list.first()); } @@ -294,6 +330,7 @@ bool AStar::_solve(Point *begin_point, Point *end_point) { } float AStar::_estimate_cost(int p_from_id, int p_to_id) { + if (get_script_instance() && get_script_instance()->has_method(SceneStringNames::get_singleton()->_estimate_cost)) return get_script_instance()->call(SceneStringNames::get_singleton()->_estimate_cost, p_from_id, p_to_id); @@ -301,6 +338,7 @@ float AStar::_estimate_cost(int p_from_id, int p_to_id) { } float AStar::_compute_cost(int p_from_id, int p_to_id) { + if (get_script_instance() && get_script_instance()->has_method(SceneStringNames::get_singleton()->_compute_cost)) return get_script_instance()->call(SceneStringNames::get_singleton()->_compute_cost, p_from_id, p_to_id); @@ -331,9 +369,9 @@ PoolVector<Vector3> AStar::get_point_path(int p_from_id, int p_to_id) { if (!found_route) return PoolVector<Vector3>(); - //midpoints + // Midpoints Point *p = end_point; - int pc = 1; //begin point + int pc = 1; // Begin point while (p != begin_point) { pc++; p = p->prev_point; @@ -352,7 +390,7 @@ PoolVector<Vector3> AStar::get_point_path(int p_from_id, int p_to_id) { p = p->prev_point; } - w[0] = p->pos; //assign first + w[0] = p->pos; // Assign first } return path; @@ -382,9 +420,9 @@ PoolVector<int> AStar::get_id_path(int p_from_id, int p_to_id) { if (!found_route) return PoolVector<int>(); - //midpoints + // Midpoints Point *p = end_point; - int pc = 1; //begin point + int pc = 1; // Begin point while (p != begin_point) { pc++; p = p->prev_point; @@ -403,7 +441,7 @@ PoolVector<int> AStar::get_id_path(int p_from_id, int p_to_id) { p = p->prev_point; } - w[0] = p->id; //assign first + w[0] = p->id; // Assign first } return path; @@ -412,21 +450,25 @@ PoolVector<int> AStar::get_id_path(int p_from_id, int p_to_id) { void AStar::_bind_methods() { ClassDB::bind_method(D_METHOD("get_available_point_id"), &AStar::get_available_point_id); - ClassDB::bind_method(D_METHOD("add_point", "id", "pos", "weight_scale"), &AStar::add_point, DEFVAL(1.0)); - ClassDB::bind_method(D_METHOD("get_point_pos", "id"), &AStar::get_point_pos); + ClassDB::bind_method(D_METHOD("add_point", "id", "position", "weight_scale"), &AStar::add_point, DEFVAL(1.0)); + ClassDB::bind_method(D_METHOD("get_point_position", "id"), &AStar::get_point_position); + ClassDB::bind_method(D_METHOD("set_point_position", "id", "position"), &AStar::set_point_position); ClassDB::bind_method(D_METHOD("get_point_weight_scale", "id"), &AStar::get_point_weight_scale); + ClassDB::bind_method(D_METHOD("set_point_weight_scale", "id", "weight_scale"), &AStar::set_point_weight_scale); ClassDB::bind_method(D_METHOD("remove_point", "id"), &AStar::remove_point); ClassDB::bind_method(D_METHOD("has_point", "id"), &AStar::has_point); ClassDB::bind_method(D_METHOD("get_points"), &AStar::get_points); + ClassDB::bind_method(D_METHOD("get_point_connections"), &AStar::get_point_connections); + ClassDB::bind_method(D_METHOD("connect_points", "id", "to_id", "bidirectional"), &AStar::connect_points, DEFVAL(true)); ClassDB::bind_method(D_METHOD("disconnect_points", "id", "to_id"), &AStar::disconnect_points); ClassDB::bind_method(D_METHOD("are_points_connected", "id", "to_id"), &AStar::are_points_connected); ClassDB::bind_method(D_METHOD("clear"), &AStar::clear); - ClassDB::bind_method(D_METHOD("get_closest_point", "to_pos"), &AStar::get_closest_point); - ClassDB::bind_method(D_METHOD("get_closest_pos_in_segment", "to_pos"), &AStar::get_closest_pos_in_segment); + ClassDB::bind_method(D_METHOD("get_closest_point", "to_position"), &AStar::get_closest_point); + ClassDB::bind_method(D_METHOD("get_closest_position_in_segment", "to_position"), &AStar::get_closest_position_in_segment); ClassDB::bind_method(D_METHOD("get_point_path", "from_id", "to_id"), &AStar::get_point_path); ClassDB::bind_method(D_METHOD("get_id_path", "from_id", "to_id"), &AStar::get_id_path); @@ -443,4 +485,5 @@ AStar::AStar() { AStar::~AStar() { pass = 1; + clear(); } diff --git a/core/math/a_star.h b/core/math/a_star.h index 38d13d510b..b7b7e54125 100644 --- a/core/math/a_star.h +++ b/core/math/a_star.h @@ -33,6 +33,8 @@ #include "reference.h" #include "self_list.h" /** + A* pathfinding algorithm + @author Juan Linietsky <reduzio@gmail.com> */ @@ -53,7 +55,7 @@ class AStar : public Reference { Vector<Point *> neighbours; - //used for pathfinding + // Used for pathfinding Point *prev_point; real_t distance; @@ -101,10 +103,13 @@ public: int get_available_point_id() const; void add_point(int p_id, const Vector3 &p_pos, real_t p_weight_scale = 1); - Vector3 get_point_pos(int p_id) const; + Vector3 get_point_position(int p_id) const; + void set_point_position(int p_id, const Vector3 &p_pos); real_t get_point_weight_scale(int p_id) const; + void set_point_weight_scale(int p_id, real_t p_weight_scale); void remove_point(int p_id); bool has_point(int p_id) const; + PoolVector<int> get_point_connections(int p_id); Array get_points(); void connect_points(int p_id, int p_with_id, bool bidirectional = true); @@ -114,7 +119,7 @@ public: void clear(); int get_closest_point(const Vector3 &p_point) const; - Vector3 get_closest_pos_in_segment(const Vector3 &p_point) const; + Vector3 get_closest_position_in_segment(const Vector3 &p_point) const; PoolVector<Vector3> get_point_path(int p_from_id, int p_to_id); PoolVector<int> get_id_path(int p_from_id, int p_to_id); diff --git a/core/math/camera_matrix.cpp b/core/math/camera_matrix.cpp index 7132b6573e..2c587762e8 100644 --- a/core/math/camera_matrix.cpp +++ b/core/math/camera_matrix.cpp @@ -577,7 +577,7 @@ real_t CameraMatrix::get_fov() const { if ((matrix[8] == 0) && (matrix[9] == 0)) { return Math::rad2deg(Math::acos(Math::abs(right_plane.normal.x))) * 2.0; } else { - // our frustum is asymetrical need to calculate the left planes angle seperately.. + // our frustum is asymmetrical need to calculate the left planes angle separately.. Plane left_plane = Plane(matrix[3] + matrix[0], matrix[7] + matrix[4], matrix[11] + matrix[8], diff --git a/core/math/math_funcs.cpp b/core/math/math_funcs.cpp index 6fb688f16b..64e01e5841 100644 --- a/core/math/math_funcs.cpp +++ b/core/math/math_funcs.cpp @@ -176,3 +176,18 @@ float Math::random(float from, float to) { float ret = (float)r / (float)RANDOM_MAX; return (ret) * (to - from) + from; } + +int Math::wrapi(int value, int min, int max) { + --max; + int rng = max - min + 1; + value = ((value - min) % rng); + if (value < 0) + return max + 1 + value; + else + return min + value; +} + +float Math::wrapf(float value, float min, float max) { + float rng = max - min; + return min + (value - min) - (rng * floor((value - min) / rng)); +} diff --git a/core/math/math_funcs.h b/core/math/math_funcs.h index 9651e37f3e..7715e5d6e5 100644 --- a/core/math/math_funcs.h +++ b/core/math/math_funcs.h @@ -104,8 +104,44 @@ public: static _ALWAYS_INLINE_ double exp(double p_x) { return ::exp(p_x); } static _ALWAYS_INLINE_ float exp(float p_x) { return ::expf(p_x); } - static _ALWAYS_INLINE_ bool is_nan(double p_val) { return (p_val != p_val); } - static _ALWAYS_INLINE_ bool is_nan(float p_val) { return (p_val != p_val); } + static _ALWAYS_INLINE_ bool is_nan(double p_val) { +#ifdef _MSC_VER + return _isnan(p_val); +#elif defined(__GNUC__) && __GNUC__ < 6 + union { + uint64_t u; + double f; + } ieee754; + ieee754.f = p_val; + // (unsigned)(0x7ff0000000000001 >> 32) : 0x7ff00000 + return ((((unsigned)(ieee754.u >> 32) & 0x7fffffff) + ((unsigned)ieee754.u != 0)) > 0x7ff00000); +#else + return isnan(p_val); +#endif + } + + static _ALWAYS_INLINE_ bool is_nan(float p_val) { +#ifdef _MSC_VER + return _isnan(p_val); +#elif defined(__GNUC__) && __GNUC__ < 6 + union { + uint32_t u; + float f; + } ieee754; + ieee754.f = p_val; + // ----------------------------------- + // (single-precision floating-point) + // NaN : s111 1111 1xxx xxxx xxxx xxxx xxxx xxxx + // : (> 0x7f800000) + // where, + // s : sign + // x : non-zero number + // ----------------------------------- + return ((ieee754.u & 0x7fffffff) > 0x7f800000); +#else + return isnan(p_val); +#endif + } static _ALWAYS_INLINE_ bool is_inf(double p_val) { #ifdef _MSC_VER @@ -171,6 +207,9 @@ public: static _ALWAYS_INLINE_ double round(double p_val) { return (p_val >= 0) ? Math::floor(p_val + 0.5) : -Math::floor(-p_val + 0.5); } static _ALWAYS_INLINE_ float round(float p_val) { return (p_val >= 0) ? Math::floor(p_val + 0.5) : -Math::floor(-p_val + 0.5); } + static int wrapi(int value, int min, int max); + static float wrapf(float value, float min, float max); + // double only, as these functions are mainly used by the editor and not performance-critical, static double ease(double p_x, double p_c); static int step_decimals(double p_step); @@ -232,7 +271,7 @@ public: #elif defined(_MSC_VER) && _MSC_VER < 1800 __asm fld a __asm fistp b -/*#elif defined( __GNUC__ ) && ( defined( __i386__ ) || defined( __x86_64__ ) ) + /*#elif defined( __GNUC__ ) && ( defined( __i386__ ) || defined( __x86_64__ ) ) // use AT&T inline assembly style, document that // we use memory as output (=m) and input (m) __asm__ __volatile__ ( @@ -351,6 +390,23 @@ public: return hf; } + + static _ALWAYS_INLINE_ float snap_scalar(float p_offset, float p_step, float p_target) { + return p_step != 0 ? Math::stepify(p_target - p_offset, p_step) + p_offset : p_target; + } + + static _ALWAYS_INLINE_ float snap_scalar_seperation(float p_offset, float p_step, float p_target, float p_separation) { + if (p_step != 0) { + float a = Math::stepify(p_target - p_offset, p_step + p_separation) + p_offset; + float b = a; + if (p_target >= 0) + b -= p_separation; + else + b += p_step; + return (Math::abs(p_target - a) < Math::abs(p_target - b)) ? a : b; + } + return p_target; + } }; #endif // MATH_FUNCS_H diff --git a/core/math/matrix3.cpp b/core/math/matrix3.cpp index 4051de7afb..ab3bca79ae 100644 --- a/core/math/matrix3.cpp +++ b/core/math/matrix3.cpp @@ -279,7 +279,7 @@ Vector3 Basis::get_signed_scale() const { // Decomposes a Basis into a rotation-reflection matrix (an element of the group O(3)) and a positive scaling matrix as B = O.S. // Returns the rotation-reflection matrix via reference argument, and scaling information is returned as a Vector3. -// This (internal) function is too specıfıc and named too ugly to expose to users, and probably there's no need to do so. +// This (internal) function is too specific and named too ugly to expose to users, and probably there's no need to do so. Vector3 Basis::rotref_posscale_decomposition(Basis &rotref) const { #ifdef MATH_CHECKS ERR_FAIL_COND_V(determinant() == 0, Vector3()); @@ -371,31 +371,30 @@ Vector3 Basis::get_euler_xyz() const { #ifdef MATH_CHECKS ERR_FAIL_COND_V(is_rotation() == false, euler); #endif - euler.y = Math::asin(elements[0][2]); - if (euler.y < Math_PI * 0.5) { - if (euler.y > -Math_PI * 0.5) { + real_t sy = elements[0][2]; + if (sy < 1.0) { + if (sy > -1.0) { // is this a pure Y rotation? if (elements[1][0] == 0.0 && elements[0][1] == 0.0 && elements[1][2] == 0 && elements[2][1] == 0 && elements[1][1] == 1) { - // return the simplest form + // return the simplest form (human friendlier in editor and scripts) euler.x = 0; euler.y = atan2(elements[0][2], elements[0][0]); euler.z = 0; } else { euler.x = Math::atan2(-elements[1][2], elements[2][2]); + euler.y = Math::asin(sy); euler.z = Math::atan2(-elements[0][1], elements[0][0]); } - } else { - real_t r = Math::atan2(elements[1][0], elements[1][1]); + euler.x = -Math::atan2(elements[0][1], elements[1][1]); + euler.y = -Math_PI / 2.0; euler.z = 0.0; - euler.x = euler.z - r; } } else { - real_t r = Math::atan2(elements[0][1], elements[1][1]); - euler.z = 0; - euler.x = r - euler.z; + euler.x = Math::atan2(elements[0][1], elements[1][1]); + euler.y = Math_PI / 2.0; + euler.z = 0.0; } - return euler; } @@ -445,7 +444,7 @@ Vector3 Basis::get_euler_yxz() const { if (m12 > -1) { // is this a pure X rotation? if (elements[1][0] == 0 && elements[0][1] == 0 && elements[0][2] == 0 && elements[2][0] == 0 && elements[0][0] == 1) { - // return the simplest form + // return the simplest form (human friendlier in editor and scripts) euler.x = atan2(-m12, elements[1][1]); euler.y = 0; euler.z = 0; @@ -538,7 +537,7 @@ Basis::operator String() const { return mtx; } -Basis::operator Quat() const { +Quat Basis::get_quat() const { //commenting this check because precision issues cause it to fail when it shouldn't //#ifdef MATH_CHECKS //ERR_FAIL_COND_V(is_rotation() == false, Quat()); @@ -710,12 +709,7 @@ void Basis::get_axis_angle(Vector3 &r_axis, real_t &r_angle) const { r_angle = angle; } -Basis::Basis(const Vector3 &p_euler) { - - set_euler(p_euler); -} - -Basis::Basis(const Quat &p_quat) { +void Basis::set_quat(const Quat &p_quat) { real_t d = p_quat.length_squared(); real_t s = 2.0 / d; @@ -750,7 +744,3 @@ void Basis::set_axis_angle(const Vector3 &p_axis, real_t p_phi) { elements[2][1] = p_axis.y * p_axis.z * (1.0 - cosine) + p_axis.x * sine; elements[2][2] = axis_sq.z + cosine * (1.0 - axis_sq.z); } - -Basis::Basis(const Vector3 &p_axis, real_t p_phi) { - set_axis_angle(p_axis, p_phi); -} diff --git a/core/math/matrix3.h b/core/math/matrix3.h index 23429888e0..9a33b8203d 100644 --- a/core/math/matrix3.h +++ b/core/math/matrix3.h @@ -88,8 +88,11 @@ public: Vector3 get_euler_yxz() const; void set_euler_yxz(const Vector3 &p_euler); - Vector3 get_euler() const { return get_euler_yxz(); }; - void set_euler(const Vector3 &p_euler) { set_euler_yxz(p_euler); }; + Quat get_quat() const; + void set_quat(const Quat &p_quat); + + Vector3 get_euler() const { return get_euler_yxz(); } + void set_euler(const Vector3 &p_euler) { set_euler_yxz(p_euler); } void get_axis_angle(Vector3 &r_axis, real_t &r_angle) const; void set_axis_angle(const Vector3 &p_axis, real_t p_phi); @@ -205,11 +208,11 @@ public: bool is_symmetric() const; Basis diagonalize(); - operator Quat() const; + operator Quat() const { return get_quat(); } - Basis(const Quat &p_quat); // euler - Basis(const Vector3 &p_euler); // euler - Basis(const Vector3 &p_axis, real_t p_phi); + Basis(const Quat &p_quat) { set_quat(p_quat); }; + Basis(const Vector3 &p_euler) { set_euler(p_euler); } + Basis(const Vector3 &p_axis, real_t p_phi) { set_axis_angle(p_axis, p_phi); } _FORCE_INLINE_ Basis(const Vector3 &row0, const Vector3 &row1, const Vector3 &row2) { elements[0] = row0; |