libakgl/include/akgl/collision.h

/**
 * @file collision.h
 * @brief Collision shapes: what an actor occupies, and what it will collide with.
 *
 * A shape is a convex volume positioned relative to an actor's origin. It lives
 * on the akgl_Character, so every goblin sharing a character shares one shape
 * definition, exactly as they share speeds and the state-to-sprite map -- and an
 * individual actor may override it when it needs to.
 *
 * @section collision_leaf This header includes nothing of ours but types.h
 *
 * `actor.h` and `character.h` both need akgl_CollisionShape by value, so this
 * header cannot include either of them without a cycle. It names actors and
 * tilemaps as incomplete struct pointers instead, which is why they need struct
 * tags and why `akgl_Tilemap` grew one. The `headers` suite compiles this file
 * as the first include of a translation unit and would fail immediately if that
 * ever stopped being true.
 *
 * @section collision_extrusion Why a 2D shape has a depth
 *
 * The narrowphase behind this is three-dimensional, which is what lets the same
 * shapes carry into a 3D game later. It answers with the **minimum** translation
 * that separates two volumes -- and if a 2D shape were extruded into a thin
 * slab, the cheapest way to separate two of them would be along z. The
 * narrowphase would report a contact, the resolver would push the actor into the
 * screen, and on screen nothing would happen at all while the actor sank through
 * the floor.
 *
 * So the setters give every shape a depth of #AKGL_COLLISION_DEPTH_RATIO times
 * its largest planar half-extent unless told otherwise. That is not a large
 * number chosen for comfort; it is the smallest ratio for which the z overlap of
 * any two shapes built this way is provably larger than any planar penetration
 * they can reach, so z can never be the minimum axis. Pass a depth by hand only
 * if you know what that costs.
 */

#ifndef _AKGL_COLLISION_H_
#define _AKGL_COLLISION_H_

#include <stdbool.h>
#include <stdint.h>

#include <SDL3/SDL_rect.h>
#include <akerror.h>

#include <akgl/types.h>

struct akgl_Actor;
struct akgl_Tilemap;
struct akgl_CollisionWorld;

/** @brief No shape. The actor takes no part in collision. */
#define AKGL_COLLISION_SHAPE_NONE       0
/** @brief An axis-aligned box. The common case, and the one with a closed-form answer. */
#define AKGL_COLLISION_SHAPE_BOX        1
/** @brief A circle in the xy plane, extruded along z. `hx` is the radius and `hy` is ignored. */
#define AKGL_COLLISION_SHAPE_CIRCLE     2
/** @brief A capsule whose long axis is x: a box with semicircular caps left and right. */
#define AKGL_COLLISION_SHAPE_CAPSULE_X  3
/** @brief A capsule whose long axis is y: a box with semicircular caps top and bottom. */
#define AKGL_COLLISION_SHAPE_CAPSULE_Y  4

/** @brief No flags. */
#define AKGL_COLLISION_FLAG_NONE        0x00000000u
/** @brief Never moved by the resolver and never re-inserted into the broad phase. */
#define AKGL_COLLISION_FLAG_STATIC      0x00000001u
/** @brief Reports a contact and never pushes. Pickups, trigger volumes, damage zones. */
#define AKGL_COLLISION_FLAG_SENSOR      0x00000002u
/** @brief Present but ignored this step. Cheaper than dropping the shape and putting it back. */
#define AKGL_COLLISION_FLAG_DISABLED    0x00000004u
/**
 * @brief Reserved for a swept narrowphase. **Not implemented; setting it does nothing.**
 *
 * Sub-stepping bounds how far an actor moves between collision tests, which
 * stops anything moving at ordinary speeds from passing through a wall. A
 * projectile is not moving at ordinary speeds. See `TODO.md`.
 */
#define AKGL_COLLISION_FLAG_BULLET      0x00000008u

/** @brief On no layer. A shape with this `layermask` collides with nothing. */
#define AKGL_COLLISION_LAYER_NONE       0x00000000u
/** @brief Map geometry: solid tiles and static proxies. The default `collidemask`. */
#define AKGL_COLLISION_LAYER_STATIC     (1u << 0)
/** @brief Ordinary actors. The default `layermask`. */
#define AKGL_COLLISION_LAYER_ACTOR      (1u << 1)
/** @brief Suggested layer for the player. Nothing in the library treats it specially. */
#define AKGL_COLLISION_LAYER_PLAYER     (1u << 2)
/** @brief Suggested layer for hostiles. */
#define AKGL_COLLISION_LAYER_ENEMY      (1u << 3)
/** @brief Suggested layer for things picked up rather than bumped into. */
#define AKGL_COLLISION_LAYER_PICKUP     (1u << 4)
/** @brief Every layer, including the ones a game defines for itself in bits 5 and above. */
#define AKGL_COLLISION_LAYER_ALL        0xFFFFFFFFu

/**
 * @brief Depth given to a 2D shape, as a multiple of its largest planar half-extent.
 *
 * 2 and not 1. At 1, two identical squares fully overlapped have the same
 * overlap on z as in the plane, and which axis the narrowphase calls "minimum"
 * comes down to floating-point luck. At 2 the z overlap of any pair is at least
 * twice the largest planar half-extent either can reach, and the planar
 * penetration is at most that -- so z loses every time, by construction rather
 * than by margin.
 */
#define AKGL_COLLISION_DEPTH_RATIO      2.0f

/**
 * @brief A convex volume, positioned relative to an actor's origin.
 *
 * Stored as a centre and half-extents rather than as an `SDL_FRect`, because
 * that is the form both the overlap test and the narrowphase want and this way
 * the conversion happens once, in a setter, instead of on every one of the tens
 * of thousands of tests a frame. The setters take the rectangle form a game
 * already has.
 */
typedef struct akgl_CollisionShape {
    uint8_t kind;           /**< One of the `AKGL_COLLISION_SHAPE_*` values. #AKGL_COLLISION_SHAPE_NONE means this actor does not collide, and is what a zeroed shape is. */
    uint32_t flags;         /**< Bitwise OR of the `AKGL_COLLISION_FLAG_*` values. */
    uint32_t layermask;     /**< Which layers this shape is *on*. What other shapes test against. */
    uint32_t collidemask;   /**< Which layers this shape *responds to*. Asymmetric on purpose: a player can block against an NPC while the NPC ignores the player. */
    float32_t ox;           /**< Centre offset from the actor's `x`, in map pixels. */
    float32_t oy;           /**< Centre offset from the actor's `y`. Positive is down, matching screen space. */
    float32_t oz;           /**< Centre offset from the actor's `z`. */
    float32_t hx;           /**< Half-extent along x. The radius, for a circle or a capsule. */
    float32_t hy;           /**< Half-extent along y. Ignored for a circle. */
    float32_t hz;           /**< Half-extent along z. Never 0 after a setter has run; see the extrusion note on this file. */
} akgl_CollisionShape;

/**
 * @brief One shape's registration in the broad phase.
 *
 * A proxy is what the partitioner indexes. It carries a **copy** of the shape
 * rather than a pointer to it, which is deliberate: an actor's own logic may
 * legitimately rewrite its shape mid-step -- a character crouching, a projectile
 * arming -- and a broad phase whose bounds were computed from a shape that has
 * since changed is a source of bugs that only appear when two things happen in
 * the same frame. The copy is refreshed once per step, from one place.
 *
 * Proxies are pool objects. The library creates and destroys them; a game does
 * not, and a game that releases an actor gets its proxy released with it.
 */
typedef struct akgl_CollisionProxy {
    uint8_t refcount;               /**< Pool bookkeeping; 0 means the slot is free. First member, as in every pooled type here. */
    struct akgl_Actor *owner;       /**< The actor this proxy tracks, or `NULL` for static geometry with no actor behind it. Borrowed; no reference is taken. */
    akgl_CollisionShape shape;      /**< A copy of the owner's shape as of the last refresh. */
    SDL_FRect bounds;               /**< Planar world bounds in map pixels, computed from #shape at (#x, #y). */
    float32_t x;                    /**< World position #bounds was computed from. */
    float32_t y;                    /**< World position #bounds was computed from. */
    float32_t z;                    /**< World position #bounds was computed from. Not represented in #bounds. */
    uint32_t stamp;                 /**< Sweep serial this proxy was last visited on, so a proxy spanning several cells is reported once. Written by the partitioner. */
    int32_t cx0;                    /**< Grid cell rectangle currently occupied, inclusive. Written by the uniform grid only, and the thing its `move` compares against. */
    int32_t cy0;                    /**< Grid cell rectangle currently occupied. */
    int32_t cx1;                    /**< Grid cell rectangle currently occupied. */
    int32_t cy1;                    /**< Grid cell rectangle currently occupied. */
    int16_t first;                  /**< Head of this proxy's chain of cell entries, or -1 when it is not in the grid. Written by the uniform grid only. */
} akgl_CollisionProxy;

/**
 * @brief One proxy's membership of one grid cell.
 *
 * Two intrusive chains: one through the cell, so a query can walk what is in it,
 * and one through the proxy, so removing a proxy unlinks its whole span without
 * searching. Everything is an index rather than a pointer, which keeps the
 * structure relocatable and makes clearing it a `memset`.
 */
typedef struct akgl_CollisionCell {
    uint8_t refcount;   /**< Pool bookkeeping; 0 means the slot is free. */
    int16_t proxy;      /**< Index into the proxy pool. */
    int32_t cell;       /**< Which cell, as `(row * columns) + column`. */
    int16_t next;       /**< Next entry in this cell's chain, or -1. */
    int16_t prev;       /**< Previous entry in this cell's chain, or -1, so removal is O(1). */
    int16_t ownernext;  /**< Next entry belonging to the same proxy, or -1. */
} akgl_CollisionCell;

/**
 * @brief Force every contact normal into the xy plane.
 *
 * A safety net rather than a mode. The extrusion the setters apply already makes
 * z the most expensive axis to separate on, so a normal along z should be
 * unreachable -- but a caller who set a depth by hand has opted out of that
 * guarantee, and the failure it produces is silent: the resolver pushes the
 * actor into the screen, which moves it nowhere a player can see while leaving
 * it inside whatever it hit.
 *
 * Pass it for a 2D game, which is every game today. When there is a real third
 * axis to resolve on, leave it off.
 */
#define AKGL_COLLISION_TEST_PLANAR      0x00000001u

/**
 * @brief One overlap, described well enough to undo it.
 *
 * The narrowphase fills in the geometry. Which actor, which tile, and whether
 * either side was a sensor are filled in by the layer above, which is the only
 * one that knows.
 */
typedef struct akgl_Contact {
    struct akgl_Actor *self;    /**< The actor being told about this contact. Filled in by the resolver, not the narrowphase. */
    struct akgl_Actor *other;   /**< The other actor, or `NULL` when the hit was map geometry with no actor behind it. */
    int32_t tilex;              /**< Tile column that was hit, or -1 when the other side was not a tile. */
    int32_t tiley;              /**< Tile row, or -1. */
    int32_t tilelayer;          /**< Index into the tilemap's layers, or -1. */
    int32_t tilegid;            /**< Global tile id that was hit, or 0. This is what tells a spike from a floor without a second lookup. */
    float32_t nx;               /**< Contact normal, unit length. **Points out of the other shape and toward this one**, so moving along it by #depth separates them. */
    float32_t ny;               /**< Normal along y. Negative means the surface is *below*, since y grows downward. */
    float32_t nz;               /**< Normal along z. Always 0 when #AKGL_COLLISION_TEST_PLANAR was used. */
    float32_t depth;            /**< How far along the normal to move to stop overlapping, in map pixels. Never negative. */
    float32_t px;               /**< A point on the overlap, in map pixels. Approximate for a non-box pair; see below. */
    float32_t py;               /**< Contact point along y. */
    float32_t pz;               /**< Contact point along z. */
    float32_t dt;               /**< Length of the sub-step this contact was found in, in seconds. Filled in by the resolver. */
    bool sensor;                /**< Either side carries #AKGL_COLLISION_FLAG_SENSOR: report, do not push. Filled in by the resolver. */
    bool statichit;             /**< The other side does not move -- a tile, or a proxy flagged #AKGL_COLLISION_FLAG_STATIC. */
} akgl_Contact;

/**
 * @brief Test two positioned shapes, and describe the overlap if there is one.
 *
 * Three paths, cheapest first. The proxies' bounds reject most pairs outright.
 * A box against a box is answered in closed form -- exact depth, exactly
 * axis-aligned normal, no iteration -- which matters because a tile game is
 * almost entirely boxes, and because a resting actor wants a normal that is
 * precisely `(0, -1, 0)` rather than one converged to within a tolerance, or it
 * creeps. Everything else goes to the iterative narrowphase.
 *
 * @note **The contact point is approximate for anything but a box pair.** The
 *       iterative solver returns a point on the portal it converged to, which
 *       for a deep off-centre overlap can sit noticeably away from the deepest
 *       point. The depth and the normal are not approximate, and the blocking
 *       resolver uses only those. Do not build a damage falloff on the point.
 *
 * @param a     First proxy. Required.
 * @param b     Second proxy. Required.
 * @param flags Bitwise OR of the `AKGL_COLLISION_TEST_*` values.
 * @param dest  Receives the contact geometry when @p hit comes back `true`.
 *              Required. The normal points out of @p b and toward @p a.
 * @param hit   Receives whether the two overlap. Required.
 * @return `NULL` on success, otherwise an error context owned by the caller.
 * @throws AKERR_NULLPOINTER If any pointer argument is `NULL`.
 * @throws AKGL_ERR_COLLISION If the solver could not characterise an
 *         intersection it found -- a degenerate shape, or the arena running out.
 */
akerr_ErrorContext AKERR_NOIGNORE *akgl_collision_test(akgl_CollisionProxy *a, akgl_CollisionProxy *b, uint32_t flags, akgl_Contact *dest, bool *hit);

/** @brief Longest partitioner name, including the terminator. */
#define AKGL_PARTITIONER_MAX_NAME_LENGTH        32

/**
 * @brief Visits one proxy a query found. Raise `AKERR_ITERATOR_BREAK` to stop early.
 *
 * A query is allowed to over-report and forbidden to under-report, so a visitor
 * will see proxies that turn out not to overlap. Rejecting those is the
 * narrowphase's job and it is cheap; missing one is a wall an actor walks
 * through.
 */
typedef akerr_ErrorContext AKERR_NOIGNORE *(*akgl_CollisionVisitFunc)(akgl_CollisionProxy *proxy, void *data);

/** @brief Visits one candidate pair. Raise `AKERR_ITERATOR_BREAK` to stop early. */
typedef akerr_ErrorContext AKERR_NOIGNORE *(*akgl_CollisionPairFunc)(akgl_CollisionProxy *a, akgl_CollisionProxy *b, void *data);

/**
 * @brief A pluggable broad phase: a record of function pointers and an initializer.
 *
 * The same shape as akgl_RenderBackend and akgl_PhysicsBackend, for the same
 * reason -- behaviour that varies is a slot to fill, not a branch to add.
 *
 * @section partitioner_move Why `move` is its own slot
 *
 * It could be spelled remove-then-insert, and that would throw away the entire
 * argument for the structure that is installed by default. A uniform grid's
 * `move` is a comparison and a return when the proxy has not left the cells it
 * was in, which is the steady state for a walking actor and forever for a static
 * one. Collapsing it into remove-and-insert turns the incremental grid into the
 * rebuild-every-frame tree that was measured and rejected.
 */
typedef struct akgl_Partitioner {
    char name[AKGL_PARTITIONER_MAX_NAME_LENGTH];    /**< Which implementation is installed. Diagnostic, and what the tests use to report which row failed. */

    akerr_ErrorContext AKERR_NOIGNORE *(*reset)(struct akgl_Partitioner *self, struct akgl_CollisionWorld *world);   /**< Drop every proxy and re-derive the structure's geometry from the world. */
    akerr_ErrorContext AKERR_NOIGNORE *(*insert)(struct akgl_Partitioner *self, akgl_CollisionProxy *proxy);         /**< Add a proxy at its current bounds. */
    akerr_ErrorContext AKERR_NOIGNORE *(*remove)(struct akgl_Partitioner *self, akgl_CollisionProxy *proxy);         /**< Take a proxy out. Removing one that is not in is success, not an error. */
    akerr_ErrorContext AKERR_NOIGNORE *(*move)(struct akgl_Partitioner *self, akgl_CollisionProxy *proxy);           /**< The proxy's bounds changed. See the note above on why this is not remove-then-insert. */
    akerr_ErrorContext AKERR_NOIGNORE *(*query)(struct akgl_Partitioner *self, SDL_FRect *area, uint32_t mask, akgl_CollisionVisitFunc visit, void *data);   /**< Visit every proxy that may overlap @p area and whose `layermask` intersects @p mask. Each proxy is visited at most once. */
    akerr_ErrorContext AKERR_NOIGNORE *(*each_pair)(struct akgl_Partitioner *self, akgl_CollisionPairFunc visit, void *data);    /**< Visit every candidate pair exactly once. */

    void *state;                                    /**< The implementation's private storage. Never dereferenced outside the file that set it. */
} akgl_Partitioner;

/**
 * @brief Broad-phase geometry and the partitioner that indexes it.
 *
 * One of these exists per world. It is reached by pointer and never embedded by
 * value in anything, because the structures behind it are measured in tens of
 * kilobytes and `akgl_Tilemap` is already large enough to matter.
 */
typedef struct akgl_CollisionWorld {
    akgl_Partitioner partitioner;   /**< The broad phase. By value: it is a vtable and a `void *`, not storage. */
    float32_t cellwidth;            /**< Broad-phase cell width in map pixels. */
    float32_t cellheight;           /**< Broad-phase cell height. */
    float32_t originx;              /**< World x the cell grid is measured from. 0 for a Tiled map. */
    float32_t originy;              /**< World y the cell grid is measured from. */
    uint32_t flags;                 /**< `AKGL_COLLISION_TEST_*` bits applied to every test this world runs. */
    uint32_t sweep;                 /**< Serial of the current pass. Stamped onto proxies so one spanning several cells is reported once. */
    uint32_t tests;                 /**< Narrowphase calls during the last pass. Diagnostic. */
} akgl_CollisionWorld;

/**
 * @brief Bring up a collision world with a named partitioner.
 *
 * @param self  The world. Required. Zeroed first.
 * @param type  `"grid"` for the incremental uniform grid, which is the default
 *              and what a game should use, or `NULL` for the same. Matched on
 *              leading characters, like akgl_physics_factory.
 * @param cellwidth  Cell width in map pixels. Pass the map's tile width. Must be positive.
 * @param cellheight Cell height in map pixels. Must be positive.
 * @return `NULL` on success, otherwise an error context owned by the caller.
 * @throws AKERR_NULLPOINTER If @p self is `NULL`.
 * @throws AKERR_VALUE If either cell dimension is not positive.
 * @throws AKERR_KEY If @p type names no partitioner. The message quotes it.
 */
akerr_ErrorContext AKERR_NOIGNORE *akgl_collision_world_init(akgl_CollisionWorld *self, char *type, float32_t cellwidth, float32_t cellheight);

/**
 * @brief Install a partitioner by name.
 *
 * Adding an implementation means adding a name here, not a branch anywhere else.
 *
 * @param self The partitioner to fill in. Required.
 * @param type `"grid"`, or `NULL` for the default. Matched on leading characters.
 * @return `NULL` on success, otherwise an error context owned by the caller.
 * @throws AKERR_NULLPOINTER If @p self is `NULL`.
 * @throws AKERR_KEY If @p type matches nothing.
 */
akerr_ErrorContext AKERR_NOIGNORE *akgl_partitioner_factory(akgl_Partitioner *self, char *type);

/**
 * @brief Install the incremental uniform grid.
 *
 * The default, and the structure the performance record argues for: cells keyed
 * on tile size, static storage, and insert and remove that happen only when a
 * proxy crosses a cell boundary. A proxy that has not left its cells costs
 * nothing to update, and a static one costs nothing ever.
 *
 * @param self The partitioner to fill in. Required.
 * @return `NULL` on success, otherwise an error context owned by the caller.
 * @throws AKERR_NULLPOINTER If @p self is `NULL`.
 */
akerr_ErrorContext AKERR_NOIGNORE *akgl_partitioner_init_grid(akgl_Partitioner *self);

/*
 * The following is part of the internal API. Proxies are created and destroyed
 * by the library, not by a game.
 */

/**
 * @brief Claim a pooled proxy for an actor's shape and take the reference on it.
 *
 * Follows the convention every pool here uses: akgl_heap_next_collision_proxy
 * finds a free slot and does **not** claim it, and this takes the reference.
 * Write the two adjacent, because until the reference is taken the slot is still
 * free and the next acquire hands out the same pointer. That is `TODO.md` "Known
 * and still open" item 8, it applies to four of the five existing pools, and
 * this one does not depart from it -- a sixth convention would be worse than the
 * defect.
 *
 * @param obj   The proxy to initialize. Required.
 * @param owner The actor it tracks, or `NULL` for static geometry.
 * @param shape The shape to copy into it. Required.
 * @param x     World position of the owner.
 * @param y     World position of the owner.
 * @param z     World position of the owner.
 * @return `NULL` on success, otherwise an error context owned by the caller.
 * @throws AKERR_NULLPOINTER If @p obj or @p shape is `NULL`.
 */
akerr_ErrorContext AKERR_NOIGNORE *akgl_collision_proxy_initialize(akgl_CollisionProxy *obj, struct akgl_Actor *owner, akgl_CollisionShape *shape, float32_t x, float32_t y, float32_t z);

/**
 * @brief Recompute a proxy's bounds from its owner's current shape and position.
 *
 * Called once per step per live proxy, before the broad phase is asked anything.
 * This is the one place the shape copy is refreshed.
 *
 * @param obj   The proxy. Required.
 * @param shape The current shape to copy. Required.
 * @param x     Current world position of the owner.
 * @param y     Current world position of the owner.
 * @param z     Current world position of the owner.
 * @return `NULL` on success, otherwise an error context owned by the caller.
 * @throws AKERR_NULLPOINTER If @p obj or @p shape is `NULL`.
 */
akerr_ErrorContext AKERR_NOIGNORE *akgl_collision_proxy_sync(akgl_CollisionProxy *obj, akgl_CollisionShape *shape, float32_t x, float32_t y, float32_t z);

/**
 * @brief Claim a pooled grid cell entry, pointing it at a proxy and a cell.
 *
 * The other half of the acquire-then-initialize pair, as for proxies.
 *
 * @param obj      The entry. Required.
 * @param proxyidx Index of the proxy in the proxy pool.
 * @param cell     Cell number, or -1 for the oversized chain.
 * @return `NULL` on success, otherwise an error context owned by the caller.
 * @throws AKERR_NULLPOINTER If @p obj is `NULL`.
 */
akerr_ErrorContext AKERR_NOIGNORE *akgl_collision_cell_initialize(akgl_CollisionCell *obj, int16_t proxyidx, int32_t cell);

/**
 * @brief Build an axis-aligned box from the frame-relative rectangle a game has.
 *
 * @p body is an offset and a size measured from the actor's position -- the same
 * form a game already writes a hitbox in, inset into its sprite frame because
 * sprite art does not reach the edges of its cell. It is converted here to the
 * centre-and-half-extent form everything downstream uses.
 *
 * The shape is zeroed first, so every field not named by the arguments ends at a
 * known value: no flags, and the default masks of #AKGL_COLLISION_LAYER_ACTOR on
 * and #AKGL_COLLISION_LAYER_STATIC responded to. That default is chosen so an
 * actor given a shape and nothing else collides with the map and with nothing
 * else -- a town full of NPCs does not start shoving itself around because
 * somebody gave the townsfolk hitboxes.
 *
 * @param dest  Receives the shape. Required.
 * @param body  Offset and size in map pixels, relative to the actor's position.
 *              Required. Both `w` and `h` must be positive.
 * @param depth Half-extent along z. Pass 0 for a 2D game and the extrusion is
 *              chosen for you; see the note on this file for why that matters.
 * @return `NULL` on success, otherwise an error context owned by the caller.
 * @throws AKERR_NULLPOINTER If @p dest or @p body is `NULL`.
 * @throws AKERR_VALUE If `body->w` or `body->h` is not positive, or @p depth is
 *         negative.
 */
akerr_ErrorContext AKERR_NOIGNORE *akgl_collision_shape_box(akgl_CollisionShape *dest, SDL_FRect *body, float32_t depth);

/**
 * @brief Build a circle, extruded along z into a cylinder.
 *
 * A cylinder and not a sphere: a sphere's caps would round away from the plane
 * and let a shape slip past a corner in a way a 2D game never expects.
 *
 * @param dest   Receives the shape. Required.
 * @param ox     Centre offset from the actor's `x`, in map pixels.
 * @param oy     Centre offset from the actor's `y`.
 * @param radius Radius in map pixels. Must be positive.
 * @param depth  Half-extent along z, or 0 to have it chosen.
 * @return `NULL` on success, otherwise an error context owned by the caller.
 * @throws AKERR_NULLPOINTER If @p dest is `NULL`.
 * @throws AKERR_VALUE If @p radius is not positive, or @p depth is negative.
 */
akerr_ErrorContext AKERR_NOIGNORE *akgl_collision_shape_circle(akgl_CollisionShape *dest, float32_t ox, float32_t oy, float32_t radius, float32_t depth);

/**
 * @brief Build a capsule: a box with semicircular caps on one axis.
 *
 * Useful for a character that should slide off a corner rather than catch on it,
 * which a box does and a capsule does not.
 *
 * @param dest  Receives the shape. Required.
 * @param body  Offset and size in map pixels, as for akgl_collision_shape_box.
 *              Required.
 * @param axis  #AKGL_COLLISION_SHAPE_CAPSULE_X or #AKGL_COLLISION_SHAPE_CAPSULE_Y.
 * @param depth Half-extent along z, or 0 to have it chosen.
 * @return `NULL` on success, otherwise an error context owned by the caller.
 * @throws AKERR_NULLPOINTER If @p dest or @p body is `NULL`.
 * @throws AKERR_VALUE If either side is not positive, @p depth is negative, @p
 *         axis is neither capsule kind, or the capped axis is not the longer one
 *         -- a capsule whose caps are wider than it is long is a circle written
 *         confusingly, and is refused rather than silently reinterpreted.
 */
akerr_ErrorContext AKERR_NOIGNORE *akgl_collision_shape_capsule(akgl_CollisionShape *dest, SDL_FRect *body, uint8_t axis, float32_t depth);

/**
 * @brief The planar bounds a shape occupies with its owner at a given position.
 *
 * This is what the broad phase indexes on and what a cheap overlap test uses
 * before anything more expensive runs. `z` is not represented: the extrusion
 * exists to keep the narrowphase honest, not to be searched.
 *
 * @param shape The shape. Required.
 * @param x     The owner's `x`.
 * @param y     The owner's `y`.
 * @param dest  Receives the bounds in map pixels. Required.
 * @return `NULL` on success, otherwise an error context owned by the caller.
 * @throws AKERR_NULLPOINTER If @p shape or @p dest is `NULL`.
 */
akerr_ErrorContext AKERR_NOIGNORE *akgl_collision_shape_bounds(akgl_CollisionShape *shape, float32_t x, float32_t y, SDL_FRect *dest);

/**
 * @brief Whether two shapes are allowed to interact, in the given direction.
 *
 * Asymmetric, and that is the point: @p self responds to @p other when @p
 * other's `layermask` intersects @p self's `collidemask`. The reverse is a
 * separate question with its own answer, which is how a player blocks against a
 * pushable crate while the crate ignores everything.
 *
 * A shape of kind #AKGL_COLLISION_SHAPE_NONE, or one carrying
 * #AKGL_COLLISION_FLAG_DISABLED, interacts with nothing in either direction.
 *
 * @param self  The shape doing the responding. Required.
 * @param other The shape being responded to. Required.
 * @param dest  Receives whether the pair is worth testing. Required.
 * @return `NULL` on success, otherwise an error context owned by the caller.
 * @throws AKERR_NULLPOINTER If any argument is `NULL`.
 */
akerr_ErrorContext AKERR_NOIGNORE *akgl_collision_shape_interacts(akgl_CollisionShape *self, akgl_CollisionShape *other, bool *dest);

#endif