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 | 38 | ||||
-rw-r--r-- | core/math/expression.h | 4 | ||||
-rw-r--r-- | core/math/math_funcs.h | 21 | ||||
-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 |
9 files changed, 109 insertions, 54 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..419056d7d6 100644 --- a/core/math/expression.cpp +++ b/core/math/expression.cpp @@ -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/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(); } |