# 15. Collision

Collision is **opt-in**. A physics backend with no collision world attached behaves exactly
as one did before any of this existed and costs one comparison per actor per step, so a game
that does not want it pays nothing and a game written before it existed keeps working.

Turning it on is three things: a world, a shape on anything that should collide, and — for
map geometry — a `collidable` property on the tile layers that are solid.

```c
#include <akgl/collision.h>
#include <akgl/game.h>
#include <akgl/physics.h>

static akgl_CollisionWorld world;

/* After the map is loaded and the physics backend is initialized. */
akerr_ErrorContext AKERR_NOIGNORE *turn_collision_on(void)
{
    PREPARE_ERROR(errctx);

    PASS(errctx, akgl_collision_world_init(&world, NULL, 16.0f, 16.0f));
    PASS(errctx, akgl_collision_bind_tilemap(&world, akgl_gamemap));
    akgl_physics->collision = &world;
    SUCCEED_RETURN(errctx);
}
```

`NULL` for the partitioner name means the default, which is the one to use. Binding a map
takes the cell size from its tiles, so the two arguments above are overwritten immediately
— they matter only for a world with no map.

## Where it runs in the step

Collision resolves **after** the move, not before it.

```text
  movementlogicfunc
        v
     gravity
        v
      drag
        v
   v = e + t
        v
  +--------------------------------+
  |  move(subdt)                   |   x substeps
  |  resolve(subdt)                |
  +--------------------------------+
```

That ordering is the whole reason a game can stop duplicating the integrator. A resolver
called from `movementlogicfunc` runs before gravity, drag and the move, so it has to
*predict* where the actor will end up — which means re-implementing the arithmetic above, in
the game, and being wrong whenever that arithmetic changes.

**Only `move` is subdivided.** Gravity, drag, the thrust integration and the speed ellipse
all still run once against the whole `dt`, and the sub-steps sum to `dt`. An actor with
nothing to collide with takes exactly one sub-step of exactly `dt`.

## Shapes

A shape is a convex volume positioned relative to an actor's origin. It lives on the
[character](11-characters.md), so every goblin sharing a character shares one definition —
and an individual actor can override it.

```c
#include <akgl/actor.h>
#include <akgl/collision.h>

/* A hitbox inset into a 32x32 sprite frame, because art does not reach the
 * edges of its cell and a full-frame box catches on doorways the character
 * visibly clears. */
akerr_ErrorContext AKERR_NOIGNORE *give_player_a_body(akgl_Actor *player)
{
    SDL_FRect body = { .x = 8.0f, .y = 0.0f, .w = 16.0f, .h = 32.0f };

    PREPARE_ERROR(errctx);
    FAIL_ZERO_RETURN(errctx, player, AKERR_NULLPOINTER, "player");

    PASS(errctx, akgl_collision_shape_box(&player->shape, &body, 0.0f));
    player->shape_override = true;
    SUCCEED_RETURN(errctx);
}
```

`shape_override` is not redundant with an empty shape. "This actor deliberately has no
collider" and "this actor has not been configured yet" are different states, and without
somewhere to record the difference `akgl_actor_set_character` cannot tell whether it is
allowed to overwrite what it finds.

Three kinds: box, circle, and a capsule on either axis. A box against a box is answered in
closed form, which is both cheaper and *exact* — an actor resting on a floor gets a normal of
precisely `(0, -1, 0)` rather than one converged to a tolerance, and the difference between
those accumulates into a slow sideways creep.

### Why a 2D shape has a depth

The narrowphase is three-dimensional, which is what lets these 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 comfortable-looking number; it is the
smallest ratio for which the z overlap of any two shapes built this way provably exceeds any
planar penetration they can reach. Pass a depth by hand only if you know what that costs, and
leave `AKGL_COLLISION_TEST_PLANAR` on if you do.

## Masks: what collides with what

Every shape carries two words, and they are asymmetric on purpose.

| Field | Means |
|---|---|
| `layermask` | which layers this shape *is on* — what others test against |
| `collidemask` | which layers this shape *responds to* |

`a` is resolved against `b` when `b->layermask & a->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, and how a bullet collides with a wall while the wall ignores the
bullet.

**The defaults matter more than the mechanism.** A new shape is on
`AKGL_COLLISION_LAYER_ACTOR` and responds to `AKGL_COLLISION_LAYER_STATIC` — so **an actor
given a shape and nothing else collides with map geometry and with no other actor.**
"Everything with a hitbox shoves everything else" is a surprising default for a town full of
scenery and a painful one to discover after the fact. Opting in to actor-versus-actor is one
added bit:

```c norun
player->shape.collidemask |= AKGL_COLLISION_LAYER_ENEMY | AKGL_COLLISION_LAYER_PICKUP;
```

## Tiles

A tile layer is solid when it carries a `collidable` boolean custom property in Tiled. The
map declares what is solid; before this a game had to hard-code a layer index, and
`akgl_TilemapLayer` does not retain the name Tiled wrote, so that index broke the moment
somebody reordered layers in the editor.

Solid tiles are **not** given proxies. At the maximum map size that would be a quarter of a
million per layer — tens of megabytes of index describing data that is already a dense grid
sitting in the tilemap. The world keeps a borrowed pointer and reads `layers[i].data[]`
directly over whatever cell range a query covers: nine array reads for a 32-pixel actor on
16-pixel tiles, nothing built at level load, nothing maintained per frame.

Static geometry that is *not* tile-aligned — a slope, a Tiled object rectangle, a platform
that only moves between levels — is still an ordinary proxy carrying
`AKGL_COLLISION_FLAG_STATIC`. Both mechanisms exist; tiles use the free one because there are
a hundred thousand of them.

## Responding to a contact

Every actor gets a seventh behaviour hook, `collidefunc`, defaulting to
`akgl_actor_collide_block`. Contacts arrive one actor at a time, with the normal already
pointing the way *that* actor has to move — so a game overriding one actor's response never
has to reason about the other's.

The default pushes the actor out along the normal and removes the component of its motion
going into the surface. Three details of that are worth knowing, because each is a way the
same function is easy to write wrongly:

- **It writes `e` and `t`, never `v`.** The step recomputes `v = e + t` at the top of every
  frame, so a write to `v` is discarded before anything reads it. An actor holding a
  direction into a wall would otherwise accumulate thrust while standing still and leave at
  speed the instant the wall ended.
- **It removes the component, not the axis.** Zeroing the whole thrust vector costs the
  motion *along* the surface too. Sliding along a wall is the difference between a wall and
  glue.
- **A separating contact is left alone.** An actor already moving out of a surface whose
  velocity gets zeroed is an actor stuck to a wall it is walking away from, and it reads to a
  player as the collision grabbing them.

A contact carries the global tile id, layer and cell when the other side was a tile, which is
what tells a spike from a floor without a second lookup.

### Sensors

A shape flagged `AKGL_COLLISION_FLAG_SENSOR` reports a contact and never pushes. Coins,
trigger volumes, damage zones. The default response returns having changed nothing — walking
through a coin is not being blocked by it.

## Asking without being pushed

Four queries answer a question and resolve nothing. They are what a game reaches for when it
wants to *know*: a ledge probe ahead of a walking enemy, a check that a doorway is clear, a
spawn point that needs validating.

| Function | Answers |
|---|---|
| `akgl_collision_solid_at` | is the tile under this point solid |
| `akgl_collision_box_blocked` | would this rectangle overlap anything solid, tiles and proxies both |
| `akgl_collision_query_box` | visit every proxy that may overlap this rectangle |
| `akgl_collision_settle` | lift a shape out of geometry it was placed inside |

`akgl_collision_settle` deserves the explanation. Resolution stops a shape *entering*
geometry and has nothing to say about one that began inside it — what it does instead is
refuse every move, so an actor spawned in a wall is simply stuck. Level authors produce that
constantly, because an editor rounds an object onto a step. Settling walks the shape up a
tile at a time and refuses loudly rather than searching forever.

## Partitioners

The broad phase is pluggable, the same way the renderer and the physics backend are: a record
of function pointers plus an initializer.

**Use the grid.** It is the default, and `PERFORMANCE.md` measures it at 2.6 times faster
than the tree on the same population — before counting that the tree also rebuilds whenever
anything moves. A grid `move` for a proxy that has not left its cells is 11.5 ns and touches
nothing.

The BSP ships alongside it so that "pluggable" means something: a vtable with one
implementation behind it has never been asked to be a vtable, and the partitioner suite runs
its entire contract against every entry in a table. It would earn its place in a world with
wildly non-uniform object sizes, or one larger than the grid's fixed cell array covers.

```c norun
/* Only if you have measured your own scene and the tree wins. */
akgl_collision_world_init(&world, "bsp", 16.0f, 16.0f);
```

## What is not implemented

- **No rotation.** No actor carries an angle, `akgl_actor_render` hard-codes
  `SDL_FLIP_NONE`, and every shape is axis-aligned. The support functions are written so that
  adding it touches one static function in the narrowphase; see `TODO.md`.
- **No restitution and no friction.** The default response blocks. Anything bouncier is your
  `collidefunc`.
- **No continuous collision.** Sub-stepping bounds how far an actor travels between tests, and
  it is capped: above roughly `8 x 0.5 x cellsize` per step — about 1280 px/s on 16-pixel
  tiles at the default `max_timestep` — an actor can still pass through a wall. That is a
  projectile, not a walker. `AKGL_COLLISION_FLAG_BULLET` reserves the bit for the swept
  narrowphase that would fix it, and does nothing today.
- **No concave shapes.** The narrowphase is convex-only, always. A concave collider is
  several convex ones.
- **Resolution is pool-order dependent.** An actor low in the pool sees the world one
  sub-step stale. This is the arcade bargain, and it is the same one Construct and Phaser
  make.

## Where to look next

- [Chapter 14](14-physics.md) — the step this runs inside, and the four gaps in the feel that
  collision does not close.
- [Chapter 12](12-actors.md) — the other six behaviour hooks.
- [Chapter 13](13-tilemaps.md) — the map, and what else its custom properties can say.
- [Chapter 20](20-tutorial-sidescroller.md) — a game that uses all of this.
