tornavis/source/blender/blenkernel/BKE_spline.hh

/* 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 factional 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);