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-/* SPDX-License-Identifier: GPL-2.0-or-later */
-
-#pragma once
-
-/** \file
- * \ingroup bke
- */
-
-#include <mutex>
-
-#include "DNA_curves_types.h"
-
-#include "BLI_float4x4.hh"
-#include "BLI_generic_virtual_array.hh"
-#include "BLI_math_vec_types.hh"
-#include "BLI_vector.hh"
-
-#include "BKE_attribute.hh"
-#include "BKE_attribute_math.hh"
-
-struct Curve;
-struct Curves;
-struct ListBase;
-
-class Spline;
-using SplinePtr = std::unique_ptr<Spline>;
-
-/**
- * A spline is an abstraction of a single branch-less curve section, its evaluation methods,
- * and data. The spline data itself is just control points and a set of attributes by the set
- * of "evaluated" data is often used instead. Conceptually, the derived vs. original data is
- * an essential distinction. Derived data is usually calculated lazily and cached on the spline.
- *
- * Any derived class of Spline has to manage two things:
- * 1. Interpolating arbitrary attribute data from the control points to evaluated points.
- * 2. Evaluating the positions based on the stored control point data.
- *
- * Beyond that, everything is the base class's responsibility, with minor exceptions. Further
- * evaluation happens in a layer on top of the evaluated points generated by the derived types.
- *
- * There are a few methods to evaluate a spline:
- * 1. #evaluated_positions and #interpolate_to_evaluated give data for the initial
- * evaluated points, depending on the resolution.
- * 2. #lookup_evaluated_factor and #lookup_evaluated_factor are meant for one-off lookups
- * along the length of a curve.
- * 3. #sample_uniform_index_factors returns an array that stores uniform-length samples
- * along the spline which can be used to interpolate data from method 1.
- *
- * Commonly used evaluated data is stored in caches on the spline itself so that operations on
- * splines don't need to worry about taking ownership of evaluated data when they don't need to.
- */
-class Spline {
- public:
- NormalMode normal_mode = NORMAL_MODE_MINIMUM_TWIST;
-
- blender::bke::CustomDataAttributes attributes;
-
- protected:
- CurveType type_;
- bool is_cyclic_ = false;
-
- /** Direction of the spline at each evaluated point. */
- mutable blender::Vector<blender::float3> evaluated_tangents_cache_;
- mutable std::mutex tangent_cache_mutex_;
- mutable bool tangent_cache_dirty_ = true;
-
- /** Normal direction vectors for each evaluated point. */
- mutable blender::Vector<blender::float3> evaluated_normals_cache_;
- mutable std::mutex normal_cache_mutex_;
- mutable bool normal_cache_dirty_ = true;
-
- /** Accumulated lengths along the evaluated points. */
- mutable blender::Vector<float> evaluated_lengths_cache_;
- mutable std::mutex length_cache_mutex_;
- mutable bool length_cache_dirty_ = true;
-
- public:
- virtual ~Spline() = default;
- Spline(const CurveType type) : type_(type)
- {
- }
- Spline(Spline &other) : attributes(other.attributes), type_(other.type_)
- {
- copy_base_settings(other, *this);
- }
-
- /**
- * Return a new spline with the same data, settings, and attributes.
- */
- SplinePtr copy() const;
- /**
- * Return a new spline with the same type and settings like "cyclic", but without any data.
- */
- SplinePtr copy_only_settings() const;
- /**
- * The same as #copy, but skips copying dynamic attributes to the new spline.
- */
- SplinePtr copy_without_attributes() const;
- static void copy_base_settings(const Spline &src, Spline &dst);
-
- CurveType type() const;
-
- /** Return the number of control points. */
- virtual int size() const = 0;
- int segments_num() const;
- bool is_cyclic() const;
- void set_cyclic(bool value);
-
- virtual void resize(int size) = 0;
- virtual blender::MutableSpan<blender::float3> positions() = 0;
- virtual blender::Span<blender::float3> positions() const = 0;
- virtual blender::MutableSpan<float> radii() = 0;
- virtual blender::Span<float> radii() const = 0;
- virtual blender::MutableSpan<float> tilts() = 0;
- virtual blender::Span<float> tilts() const = 0;
-
- virtual void translate(const blender::float3 &translation);
- virtual void transform(const blender::float4x4 &matrix);
-
- /**
- * Change the direction of the spline (switch the start and end) without changing its shape.
- */
- void reverse();
-
- /**
- * Mark all caches for re-computation. This must be called after any operation that would
- * change the generated positions, tangents, normals, mapping, etc. of the evaluated points.
- */
- virtual void mark_cache_invalid() = 0;
- virtual int evaluated_points_num() const = 0;
- int evaluated_edges_num() const;
-
- float length() const;
-
- virtual blender::Span<blender::float3> evaluated_positions() const = 0;
-
- /**
- * Return non-owning access to the cache of accumulated lengths along the spline. Each item is
- * the length of the subsequent segment, i.e. the first value is the length of the first segment
- * rather than 0. This calculation is rather trivial, and only depends on the evaluated
- * positions. However, the results are used often, and it is necessarily single threaded, so it
- * is cached.
- */
- blender::Span<float> evaluated_lengths() const;
- /**
- * Return non-owning access to the direction of the curve at each evaluated point.
- */
- blender::Span<blender::float3> evaluated_tangents() const;
- /**
- * Return non-owning access to the direction vectors perpendicular to the tangents at every
- * evaluated point. The method used to generate the normal vectors depends on Spline.normal_mode.
- */
- blender::Span<blender::float3> evaluated_normals() const;
-
- void bounds_min_max(blender::float3 &min, blender::float3 &max, bool use_evaluated) const;
-
- struct LookupResult {
- /**
- * The index of the evaluated point before the result location. In other words, the index of
- * the edge that the result lies on. If the sampled factor/length is the very end of the
- * spline, this will be the second to last index, if it's the very beginning, this will be 0.
- */
- int evaluated_index;
- /**
- * The index of the evaluated point after the result location, accounting for wrapping when
- * the spline is cyclic. If the sampled factor/length is the very end of the spline, this will
- * be the last index (#evaluated_points_num - 1).
- */
- int next_evaluated_index;
- /**
- * The portion of the way from the evaluated point at #evaluated_index to the next point.
- * If the sampled factor/length is the very end of the spline, this will be the 1.0f
- */
- float factor;
- };
- /**
- * Find the position on the evaluated spline at the given portion of the total length.
- * The return value is the indices of the two neighboring points at that location and the
- * factor between them, which can be used to look up any attribute on the evaluated points.
- * \note This does not support extrapolation.
- */
- LookupResult lookup_evaluated_factor(float factor) const;
- /**
- * The same as #lookup_evaluated_factor, but looks up a length directly instead of
- * a portion of the total.
- */
- LookupResult lookup_evaluated_length(float length) const;
-
- /**
- * Return an array of evenly spaced samples along the length of the spline. The samples are
- * indices and factors to the next index encoded in floats. The logic for converting from the
- * float values to interpolation data is in #lookup_data_from_index_factor.
- */
- blender::Array<float> sample_uniform_index_factors(int samples_num) const;
- LookupResult lookup_data_from_index_factor(float index_factor) const;
-
- /**
- * Sample any input data with a value for each evaluated point (already interpolated to evaluated
- * points) to arbitrary parameters in between the evaluated points. The interpolation is quite
- * simple, but this handles the cyclic and end point special cases.
- */
- void sample_with_index_factors(const blender::GVArray &src,
- blender::Span<float> index_factors,
- blender::GMutableSpan dst) const;
- template<typename T>
- void sample_with_index_factors(const blender::VArray<T> &src,
- blender::Span<float> index_factors,
- blender::MutableSpan<T> dst) const
- {
- this->sample_with_index_factors(
- blender::GVArray(src), index_factors, blender::GMutableSpan(dst));
- }
- template<typename T>
- void sample_with_index_factors(blender::Span<T> src,
- blender::Span<float> index_factors,
- blender::MutableSpan<T> dst) const
- {
- this->sample_with_index_factors(blender::VArray<T>::ForSpan(src), index_factors, dst);
- }
-
- /**
- * Interpolate a virtual array of data with the size of the number of control points to the
- * evaluated points. For poly splines, the lifetime of the returned virtual array must not
- * exceed the lifetime of the input data.
- */
- virtual blender::GVArray interpolate_to_evaluated(const blender::GVArray &src) const = 0;
- blender::GVArray interpolate_to_evaluated(blender::GSpan data) const;
- template<typename T> blender::VArray<T> interpolate_to_evaluated(blender::Span<T> data) const
- {
- return this->interpolate_to_evaluated(blender::GSpan(data)).typed<T>();
- }
-
- protected:
- virtual void correct_end_tangents() const = 0;
- virtual void copy_settings(Spline &dst) const = 0;
- virtual void copy_data(Spline &dst) const = 0;
- virtual void reverse_impl() = 0;
-};
-
-/**
- * A Bezier spline is made up of a many curve segments, possibly achieving continuity of curvature
- * by constraining the alignment of curve handles. Evaluation stores the positions and a map of
- * factors and indices in a list of floats, which is then used to interpolate any other data.
- */
-class BezierSpline final : public Spline {
- blender::Vector<blender::float3> positions_;
- blender::Vector<float> radii_;
- blender::Vector<float> tilts_;
- int resolution_;
-
- blender::Vector<int8_t> handle_types_left_;
- blender::Vector<int8_t> handle_types_right_;
-
- /* These are mutable to allow lazy recalculation of #Auto and #Vector handle positions. */
- mutable blender::Vector<blender::float3> handle_positions_left_;
- mutable blender::Vector<blender::float3> handle_positions_right_;
-
- mutable std::mutex auto_handle_mutex_;
- mutable bool auto_handles_dirty_ = true;
-
- /** Start index in evaluated points array for every control point. */
- mutable blender::Vector<int> offset_cache_;
- mutable std::mutex offset_cache_mutex_;
- mutable bool offset_cache_dirty_ = true;
-
- /** Cache of evaluated positions. */
- mutable blender::Vector<blender::float3> evaluated_position_cache_;
- mutable std::mutex position_cache_mutex_;
- mutable bool position_cache_dirty_ = true;
-
- /** Cache of "index factors" based calculated from the evaluated positions. */
- mutable blender::Vector<float> evaluated_mapping_cache_;
- mutable std::mutex mapping_cache_mutex_;
- mutable bool mapping_cache_dirty_ = true;
-
- public:
- BezierSpline() : Spline(CURVE_TYPE_BEZIER)
- {
- }
- BezierSpline(const BezierSpline &other)
- : Spline((Spline &)other),
- positions_(other.positions_),
- radii_(other.radii_),
- tilts_(other.tilts_),
- resolution_(other.resolution_),
- handle_types_left_(other.handle_types_left_),
- handle_types_right_(other.handle_types_right_),
- handle_positions_left_(other.handle_positions_left_),
- handle_positions_right_(other.handle_positions_right_)
- {
- }
-
- int size() const final;
- int resolution() const;
- void set_resolution(int value);
-
- void resize(int size) final;
- blender::MutableSpan<blender::float3> positions() final;
- blender::Span<blender::float3> positions() const final;
- blender::MutableSpan<float> radii() final;
- blender::Span<float> radii() const final;
- blender::MutableSpan<float> tilts() final;
- blender::Span<float> tilts() const final;
- blender::Span<int8_t> handle_types_left() const;
- blender::MutableSpan<int8_t> handle_types_left();
- blender::Span<blender::float3> handle_positions_left() const;
- /**
- * Get writable access to the handle position.
- *
- * \param write_only: pass true for an uninitialized spline, this prevents accessing
- * uninitialized memory while auto-generating handles.
- */
- blender::MutableSpan<blender::float3> handle_positions_left(bool write_only = false);
- blender::Span<int8_t> handle_types_right() const;
- blender::MutableSpan<int8_t> handle_types_right();
- blender::Span<blender::float3> handle_positions_right() const;
- /**
- * Get writable access to the handle position.
- *
- * \param write_only: pass true for an uninitialized spline, this prevents accessing
- * uninitialized memory while auto-generating handles.
- */
- blender::MutableSpan<blender::float3> handle_positions_right(bool write_only = false);
- /**
- * Recalculate all #Auto and #Vector handles with positions automatically
- * derived from the neighboring control points.
- */
- void ensure_auto_handles() const;
-
- void translate(const blender::float3 &translation) override;
- void transform(const blender::float4x4 &matrix) override;
-
- /**
- * Set positions for the right handle of the control point, ensuring that
- * aligned handles stay aligned. Has no effect for auto and vector type handles.
- */
- void set_handle_position_right(int index, const blender::float3 &value);
- /**
- * Set positions for the left handle of the control point, ensuring that
- * aligned handles stay aligned. Has no effect for auto and vector type handles.
- */
- void set_handle_position_left(int index, const blender::float3 &value);
-
- bool point_is_sharp(int index) const;
-
- void mark_cache_invalid() final;
- int evaluated_points_num() const final;
-
- /**
- * Returns access to a cache of offsets into the evaluated point array for each control point.
- * While most control point edges generate the number of edges specified by the resolution,
- * vector segments only generate one edge.
- *
- * \note The length of the result is one greater than the number of points, so that the last item
- * is the total number of evaluated points. This is useful to avoid recalculating the size of the
- * last segment everywhere.
- */
- blender::Span<int> control_point_offsets() const;
- /**
- * Returns non-owning access to an array of values containing the information necessary to
- * interpolate values from the original control points to evaluated points. The control point
- * index is the integer part of each value, and the factor used for interpolating to the next
- * control point is the remaining fractional part.
- */
- blender::Span<float> evaluated_mappings() const;
- blender::Span<blender::float3> evaluated_positions() const final;
- struct InterpolationData {
- int control_point_index;
- int next_control_point_index;
- /**
- * Linear interpolation weight between the two indices, from 0 to 1.
- * Higher means closer to next control point.
- */
- float factor;
- };
- /**
- * Convert the data encoded in #evaulated_mappings into its parts-- the information necessary
- * to interpolate data from control points to evaluated points between them. The next control
- * point index result will not overflow the size of the control point vectors.
- */
- InterpolationData interpolation_data_from_index_factor(float index_factor) const;
-
- virtual blender::GVArray interpolate_to_evaluated(const blender::GVArray &src) const override;
-
- void evaluate_segment(int index,
- int next_index,
- blender::MutableSpan<blender::float3> positions) const;
- /**
- * \warning This functional assumes that the spline has more than one point.
- */
- bool segment_is_vector(int start_index) const;
-
- /** See comment and diagram for #calculate_segment_insertion. */
- struct InsertResult {
- blender::float3 handle_prev;
- blender::float3 left_handle;
- blender::float3 position;
- blender::float3 right_handle;
- blender::float3 handle_next;
- };
- /**
- * De Casteljau Bezier subdivision.
- * \param index: The index of the segment's start control point.
- * \param next_index: The index of the control point at the end of the segment. Could be 0,
- * if the spline is cyclic.
- * \param parameter: The factor along the segment, between 0 and 1. Note that this is used
- * directly by the calculation, it doesn't correspond to a portion of the evaluated length.
- *
- * <pre>
- * handle_prev handle_next
- * x----------------x
- * / \
- * / x---O---x \
- * / result \
- * / \
- * O O
- * point_prev point_next
- * </pre>
- */
- InsertResult calculate_segment_insertion(int index, int next_index, float parameter);
-
- private:
- /**
- * If the spline is not cyclic, the direction for the first and last points is just the
- * direction formed by the corresponding handles and control points. In the unlikely situation
- * that the handles define a zero direction, fallback to using the direction defined by the
- * first and last evaluated segments already calculated in #Spline::evaluated_tangents().
- */
- void correct_end_tangents() const final;
- void copy_settings(Spline &dst) const final;
- void copy_data(Spline &dst) const final;
-
- protected:
- void reverse_impl() override;
-};
-
-/**
- * Data for Non-Uniform Rational B-Splines. The mapping from control points to evaluated points is
- * influenced by a vector of knots, weights for each point, and the order of the spline. Every
- * mapping of data to evaluated points is handled the same way, but the positions are cached in
- * the spline.
- */
-class NURBSpline final : public Spline {
- public:
- /** Method used to recalculate the knots vector when points are added or removed. */
- KnotsMode knots_mode;
-
- struct BasisCache {
- /**
- * For each evaluated point, the weight for all control points that influences it.
- * The vector's size is the evaluated point count multiplied by the spline's order.
- */
- blender::Vector<float> weights;
- /**
- * An offset for the start of #weights: the first control point index with a non-zero weight.
- */
- blender::Vector<int> start_indices;
- };
-
- private:
- blender::Vector<blender::float3> positions_;
- blender::Vector<float> radii_;
- blender::Vector<float> tilts_;
- blender::Vector<float> weights_;
- int resolution_;
- /**
- * Defines the number of nearby control points that influence a given evaluated point. Higher
- * orders give smoother results. The number of control points must be greater than or equal to
- * this value.
- */
- uint8_t order_;
-
- /**
- * Determines where and how the control points affect the evaluated points. The length should
- * always be the value returned by #knots_num(), and each value should be greater than or equal
- * to the previous. Only invalidated when a point is added or removed.
- */
- mutable blender::Vector<float> knots_;
- mutable std::mutex knots_mutex_;
- mutable bool knots_dirty_ = true;
-
- /** Cache of control point influences on each evaluated point. */
- mutable BasisCache basis_cache_;
- mutable std::mutex basis_cache_mutex_;
- mutable bool basis_cache_dirty_ = true;
-
- /**
- * Cache of position data calculated from the basis cache. Though it is interpolated
- * in the same way as any other attribute, it is stored to save unnecessary recalculation.
- */
- mutable blender::Vector<blender::float3> evaluated_position_cache_;
- mutable std::mutex position_cache_mutex_;
- mutable bool position_cache_dirty_ = true;
-
- public:
- NURBSpline() : Spline(CURVE_TYPE_NURBS)
- {
- }
- NURBSpline(const NURBSpline &other)
- : Spline((Spline &)other),
- knots_mode(other.knots_mode),
- positions_(other.positions_),
- radii_(other.radii_),
- tilts_(other.tilts_),
- weights_(other.weights_),
- resolution_(other.resolution_),
- order_(other.order_)
- {
- }
-
- int size() const final;
- int resolution() const;
- void set_resolution(int value);
- uint8_t order() const;
- void set_order(uint8_t value);
-
- bool check_valid_num_and_order() const;
- int knots_num() const;
-
- void resize(int size) final;
- blender::MutableSpan<blender::float3> positions() final;
- blender::Span<blender::float3> positions() const final;
- blender::MutableSpan<float> radii() final;
- blender::Span<float> radii() const final;
- blender::MutableSpan<float> tilts() final;
- blender::Span<float> tilts() const final;
- blender::Span<float> knots() const;
-
- blender::MutableSpan<float> weights();
- blender::Span<float> weights() const;
-
- void mark_cache_invalid() final;
- int evaluated_points_num() const final;
-
- blender::Span<blender::float3> evaluated_positions() const final;
-
- blender::GVArray interpolate_to_evaluated(const blender::GVArray &src) const final;
-
- protected:
- void correct_end_tangents() const final;
- void copy_settings(Spline &dst) const final;
- void copy_data(Spline &dst) const final;
- void reverse_impl() override;
-
- void calculate_knots() const;
- const BasisCache &calculate_basis_cache() const;
-};
-
-/**
- * A Poly spline is like a Bezier spline with a resolution of one. The main reason to distinguish
- * the two is for reduced complexity and increased performance, since interpolating data to control
- * points does not change it.
- *
- * Poly spline code is very simple, since it doesn't do anything that the base #Spline doesn't
- * handle. Mostly it just worries about storing the data used by the base class.
- */
-class PolySpline final : public Spline {
- blender::Vector<blender::float3> positions_;
- blender::Vector<float> radii_;
- blender::Vector<float> tilts_;
-
- public:
- PolySpline() : Spline(CURVE_TYPE_POLY)
- {
- }
- PolySpline(const PolySpline &other)
- : Spline((Spline &)other),
- positions_(other.positions_),
- radii_(other.radii_),
- tilts_(other.tilts_)
- {
- }
-
- int size() const final;
-
- void resize(int size) final;
- blender::MutableSpan<blender::float3> positions() final;
- blender::Span<blender::float3> positions() const final;
- blender::MutableSpan<float> radii() final;
- blender::Span<float> radii() const final;
- blender::MutableSpan<float> tilts() final;
- blender::Span<float> tilts() const final;
-
- void mark_cache_invalid() final;
- int evaluated_points_num() const final;
-
- blender::Span<blender::float3> evaluated_positions() const final;
-
- /**
- * Poly spline interpolation from control points to evaluated points is a special case, since
- * the result data is the same as the input data. This function returns a #GVArray that points to
- * the original data. Therefore the lifetime of the returned virtual array must not be longer
- * than the source data.
- */
- blender::GVArray interpolate_to_evaluated(const blender::GVArray &src) const final;
-
- protected:
- void correct_end_tangents() const final;
- void copy_settings(Spline &dst) const final;
- void copy_data(Spline &dst) const final;
- void reverse_impl() override;
-};
-
-/**
- * A collection of #Spline objects with the same attribute types and names. Most data and
- * functionality is in splines, but this contains some helpers for working with them as a group.
- *
- * \note A #CurveEval corresponds to the #Curve object data. The name is different for clarity,
- * since more of the data is stored in the splines, but also just to be different than the name in
- * DNA.
- */
-struct CurveEval {
- private:
- blender::Vector<SplinePtr> splines_;
-
- public:
- blender::bke::CustomDataAttributes attributes;
-
- CurveEval() = default;
- CurveEval(const CurveEval &other) : attributes(other.attributes)
- {
- for (const SplinePtr &spline : other.splines()) {
- this->add_spline(spline->copy());
- }
- }
-
- blender::Span<SplinePtr> splines() const;
- blender::MutableSpan<SplinePtr> splines();
- /**
- * \return True if the curve contains a spline with the given type.
- *
- * \note If you are looping over all of the splines in the same scope anyway,
- * it's better to avoid calling this function, in case there are many splines.
- */
- bool has_spline_with_type(const CurveType type) const;
-
- void resize(int size);
- /**
- * \warning Call #reallocate on the spline's attributes after adding all splines.
- */
- void add_spline(SplinePtr spline);
- void add_splines(blender::MutableSpan<SplinePtr> splines);
- void remove_splines(blender::IndexMask mask);
-
- void translate(const blender::float3 &translation);
- void transform(const blender::float4x4 &matrix);
- bool bounds_min_max(blender::float3 &min, blender::float3 &max, bool use_evaluated) const;
-
- blender::bke::MutableAttributeAccessor attributes_for_write();
-
- /**
- * Return the start indices for each of the curve spline's control points, if they were part
- * of a flattened array. This can be used to facilitate parallelism by avoiding the need to
- * accumulate an offset while doing more complex calculations.
- *
- * \note The result is one longer than the spline count; the last element is the total size.
- */
- blender::Array<int> control_point_offsets() const;
- /**
- * Exactly like #control_point_offsets, but uses the number of evaluated points instead.
- */
- blender::Array<int> evaluated_point_offsets() const;
- /**
- * Return the accumulated length at the start of every spline in the curve.
- * \note The result is one longer than the spline count; the last element is the total length.
- */
- blender::Array<float> accumulated_spline_lengths() const;
-
- float total_length() const;
- int total_control_point_num() const;
-
- void mark_cache_invalid();
-
- /**
- * Check the invariants that curve control point attributes should always uphold, necessary
- * because attributes are stored on splines rather than in a flat array on the curve:
- * - The same set of attributes exists on every spline.
- * - Attributes with the same name have the same type on every spline.
- * - Attributes are in the same order on every spline.
- */
- void assert_valid_point_attributes() const;
-};
-
-std::unique_ptr<CurveEval> curve_eval_from_dna_curve(const Curve &curve,
- const ListBase &nurbs_list);
-std::unique_ptr<CurveEval> curve_eval_from_dna_curve(const Curve &dna_curve);
-std::unique_ptr<CurveEval> curves_to_curve_eval(const Curves &curves);
-Curves *curve_eval_to_curves(const CurveEval &curve_eval);