Anchor Phase 10 Part 9

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E:\a327ex\Anchor\reference\love-compare\anchor\spring.lua

1→--[[
     2→  This module implements springs based on https://github.com/a327ex/blog/issues/60.
     3→  The arguments passed in are: the initial value of the spring, its stiffness and its damping.
     4→  The class below implements a single spring object.
     5→]]--
     6→spring_1d = class:class_new()
     7→function spring_1d:spring_1d(x, k, d)
     8→  self.tags.spring_1d = true
     9→  self.x = x or 0
    10→  self.k = k or 100
    11→  self.d = d or 10
    12→  self.target_x = self.x
    13→  self.v = 0
    14→  return self
    15→end
    16→
    17→function spring_1d:spring_1d_update(dt)
    18→  local a = -self.k*(self.x - self.target_x) - self.d*self.v
    19→  self.v = self.v + a*dt
    20→  self.x = self.x + self.v*dt
    21→end
    22→
    23→function spring_1d:spring_1d_pull(f, k, d)
    24→  if k then self.k = k end
    25→  if d then self.d = d end
    26→  self.x = self.x + f
    27→end
    28→
    29→--[[
    30→  Adds spring functionalities to an object using spring_1d.
... [47 more lines]

1→global *
     2→
     3→require 'anchor.object'
     4→
     5→--[[
     6→  Timer child object for scheduling delayed, repeating, and conditional callbacks.
     7→
     8→  Usage:
     9→    @\add timer!
    10→    @timer\after 1, -> print 'fired after 1s'
    11→    @timer\every 0.5, 'attack', -> @attack!
    12→
    13→  Timer is added as a child object. When the parent dies, the timer dies automatically.
    14→  All timer methods support optional naming - named timers can be cancelled, triggered,
    15→  and automatically replace previous timers with the same name.
    16→
    17→  Timer methods:
    18→    Delayed:     after, every, during, tween
    19→    Conditional: watch, when, cooldown
    20→    Varying:     every_step, during_step
    21→    Utility:     cancel, trigger, set_multiplier, get_time_left
    22→]]
    23→class timer extends object
    24→  --[[
    25→    Creates a new timer.
    26→
    27→    Usage:
    28→      @\add timer!
    29→
    30→    The timer is automatically named 'timer' and accessible as @timer on the parent.
... [542 more lines]

File created successfully at: E:\a327ex\Anchor\framework\anchor\spring.yue

1→global *
     2→
     3→--[[
     4→  Anchor framework initialization.
     5→
     6→  This file:
     7→    1. Requires all framework classes (object, layer, image, font)
     8→    2. Creates the root object 'an' with resource registries
     9→    3. Attaches registration methods to 'an'
    10→    4. Defines the global update() function called by the C engine
    11→
    12→  The 'an' object is the root of the object tree and the central access point
    13→  for all framework resources (layers, images, fonts).
    14→]]
    15→
    16→require 'anchor.object'
    17→require 'anchor.layer'
    18→require 'anchor.image'
    19→require 'anchor.font'
    20→require 'anchor.timer'
    21→require 'anchor.math'
    22→require 'anchor.collider'
    23→
    24→--[[
    25→  Root object for the framework.
    26→
    27→  All game objects should be children of 'an' (directly or nested).
    28→  Resource registries (layers, images, fonts) live here.
    29→
    30→  Usage:
... [595 more lines]

The file E:\a327ex\Anchor\framework\anchor\init.yue has been updated. Here's the result of running `cat -n` on a snippet of the edited file:
    12→  The 'an' object is the root of the object tree and the central access point
    13→  for all framework resources (layers, images, fonts).
    14→]]
    15→
    16→require 'anchor.object'
    17→require 'anchor.layer'
    18→require 'anchor.image'
    19→require 'anchor.font'
    20→require 'anchor.timer'
    21→require 'anchor.math'
    22→require 'anchor.collider'
    23→require 'anchor.spring'
    24→
    25→--[[
    26→  Root object for the framework.
    27→

The user doesn't want to proceed with this tool use. The tool use was rejected (eg. if it was a file edit, the new_string was NOT written to the file). To tell you how to proceed, the user said:
why did you change spring.v*dt to s.v*dt?

The file E:\a327ex\Anchor\framework\anchor\spring.yue has been updated. Here's the result of running `cat -n` on a snippet of the edited file:
     1→global *
     2→
     3→--[[
     4→  Spring child object for damped spring animations.
     5→
     6→  Usage:
     7→    @\add spring!
     8→    @spring\add 'scale', 1, 200, 10
     9→    @spring\pull 'scale', 0.5
    10→
    11→  Spring is added as a child object. When the parent dies, the spring dies automatically.
    12→  A default 'main' spring at value 1 is created on construction.
    13→
    14→  Springs are accessed directly: @spring.main.x, @spring.scale.x
    15→
    16→  Spring methods:
    17→    add          - Add a named spring
    18→    pull         - Apply impulse to a spring
    19→    set_target   - Change resting point
    20→    at_rest      - Check if spring has settled
    21→]]
    22→class spring extends object
    23→  --[[
    24→    Creates a new spring container with default 'main' spring.
    25→
    26→    Usage:
    27→      @\add spring!
    28→
    29→    The spring is automatically named 'spring' and accessible as @spring on the parent.
... [116 more lines]

1→global *
     2→
     3→require 'anchor'
     4→
     5→-- Setup layers
     6→-- game is created first so it renders first, making its texture available for shadow/outline
     7→game = an\layer 'game'
     8→bg = an\layer 'bg'
     9→shadow = an\layer 'shadow'
    10→outline = an\layer 'outline'
    11→ui = an\layer 'ui'
    12→
    13→-- Resources
    14→an\font 'main', 'assets/LanaPixel.ttf', 11
    15→an\image 'ball', 'assets/slight_smile.png'
    16→an\shader 'shadow', 'shaders/shadow.frag'
    17→an\shader 'outline', 'shaders/outline.frag'
    18→
    19→-- Screen dimensions
    20→W, H = 480, 270
    21→
    22→-- Initialize physics
    23→an\physics_init!
    24→an\physics_set_gravity 0, 500
    25→an\physics_set_meter_scale 64
    26→
    27→-- Register tags and collisions
    28→an\physics_tag 'ball'
    29→an\physics_tag 'wall'
    30→an\physics_tag 'impulse_block'
... [206 more lines]

The user doesn't want to proceed with this tool use. The tool use was rejected (eg. if it was a file edit, the new_string was NOT written to the file). To tell you how to proceed, the user said:
you do not need to create shadow and outline layers. Just create a game_2 layer, and in the draw function apply it to shadow and outline...

The file E:\a327ex\Anchor\framework\main.yue has been updated. Here's the result of running `cat -n` on a snippet of the edited file:
     1→global *
     2→
     3→require 'anchor'
     4→
     5→-- Setup layers
     6→-- game is created first so it renders first, making its texture available for shadow/outline
     7→game = an\layer 'game'
     8→game_2 = an\layer 'game_2'
     9→bg = an\layer 'bg'
    10→shadow = an\layer 'shadow'
    11→outline = an\layer 'outline'
    12→ui = an\layer 'ui'
    13→
    14→-- Resources
    15→an\font 'main', 'assets/LanaPixel.ttf', 11
    16→an\image 'ball', 'assets/slight_smile.png'

The user doesn't want to proceed with this tool use. The tool use was rejected (eg. if it was a file edit, the new_string was NOT written to the file). To tell you how to proceed, the user said:
Use push/pop to scale it, no need for sx, sy, scaled_w, scaled_h

The file E:\a327ex\Anchor\framework\main.yue has been updated. Here's the result of running `cat -n` on a snippet of the edited file:
    98→impulse_height = ground_height
    99→impulse_x = left_wall_x + wall_width
   100→impulse_y = ground_y - impulse_height
   101→
   102→class impulse_block extends object
   103→  new: (x, y, @w, @h) =>
   104→    super!
   105→    @\tag 'impulse_block'
   106→    @flash = false
   107→    @\add timer!
   108→    @\add spring!
   109→    @\add collider 'impulse_block', 'static', 'box', @w, @h
   110→    @collider\set_position x + @w/2, y + @h/2
   111→    @collider\set_friction 1
   112→    @collider\set_restitution 1
   113→
   114→  draw: (layer) =>
   115→    layer\push @x, @y, 0, @spring.main.x, @spring.main.x
   116→    layer\rectangle -@w/2, -@h/2, @w, @h, @flash and white or blue
   117→    layer\pop!
   118→
   119→an\add impulse_block impulse_x, impulse_y, impulse_width, impulse_height
   120→
   121→-- Slowing zone (under ceiling left edge, 1/3 height)

The file E:\a327ex\Anchor\framework\main.yue has been updated. Here's the result of running `cat -n` on a snippet of the edited file:
   173→  if key_is_pressed 'p'
   174→    for b in *an\all 'ball'
   175→      b.collider\apply_impulse 200, 0
   176→
   177→-- Handle collisions
   178→an\early_action 'handle_collisions', =>
   179→  for event in *an\collision_begin_events 'ball', 'impulse_block'
   180→    local ball = event.a
   181→    local block = event.b
   182→    unless ball.impulsed
   183→      ball.impulsed = true
   184→      ball.collider\apply_impulse random_float(20, 40), 0
   185→      block.flash = true
   186→      block.timer\after 0.15, 'flash', -> block.flash = false
   187→      block.spring\pull 'main', 0.2
   188→
   189→  for event in *an\sensor_begin_events 'ball', 'slowing_zone'
   190→    local ball = event.a
   191→    local vx, vy = ball.collider\get_velocity!

The file E:\a327ex\Anchor\framework\main.yue has been updated. Here's the result of running `cat -n` on a snippet of the edited file:
   207→    if event.approach_speed > 300
   208→      ball.flash = true
   209→      ball.timer\after 0.15, 'flash', -> ball.flash = false
   210→
   211→-- Queue draw commands during update
   212→an\late_action 'draw', =>
   213→  -- Draw background
   214→  bg\rectangle 0, 0, W, H, bg_color
   215→
   216→  -- Draw all drawable objects to game layer (only once!)
   217→  for obj in *an\all 'drawable'
   218→    obj\draw game
   219→
   220→  -- Draw impulse blocks to game_2 (above game, with shadow/outline)
   221→  for obj in *an\all 'impulse_block'
   222→    obj\draw game_2
   223→
   224→  -- Draw slowing zone to ui layer (no shadow/outline effects)
   225→  for zone in *an\all 'slowing_zone'
   226→    zone\draw ui
   227→
   228→-- Global draw function - called by C after update
   229→-- Handles: render source layers, create derived layers, composite to screen
   230→draw = ->

The file E:\a327ex\Anchor\framework\main.yue has been updated. Here's the result of running `cat -n` on a snippet of the edited file:
   224→  -- Draw slowing zone to ui layer (no shadow/outline effects)
   225→  for zone in *an\all 'slowing_zone'
   226→    zone\draw ui
   227→
   228→-- Global draw function - called by C after update
   229→-- Handles: render source layers, create derived layers, composite to screen
   230→draw = ->
   231→  -- 1. Render source layers (process queued commands to FBOs)
   232→  bg\render!
   233→  game\render!
   234→  game_2\render!
   235→  ui\render!
   236→
   237→  -- 2. Create derived layers (copy from game and game_2 through shaders)
   238→  shadow\clear!
   239→  shadow\draw_from game, an.shaders.shadow
   240→  shadow\draw_from game_2, an.shaders.shadow
   241→
   242→  outline\clear!
   243→  shader_set_vec2 an.shaders.outline, "u_pixel_size", 1/W, 1/H
   244→  outline\draw_from game, an.shaders.outline
   245→  outline\draw_from game_2, an.shaders.outline
   246→
   247→  -- 3. Composite to screen (visual back-to-front order)
   248→  bg\draw!
   249→  shadow\draw 4, 4
   250→  outline\draw!
   251→  game\draw!
   252→  game_2\draw!
... [2 more lines]

The file E:\a327ex\Anchor\framework\main.yue has been updated. Here's the result of running `cat -n` on a snippet of the edited file:
     1→global *
     2→
     3→require 'anchor'
     4→
     5→-- Setup layers
     6→-- game is created first so it renders first, making its texture available for shadow/outline
     7→game = an\layer 'game'
     8→game_2 = an\layer 'game_2'
     9→bg = an\layer 'bg'
    10→shadow = an\layer 'shadow'
    11→game_outline = an\layer 'game_outline'
    12→game_2_outline = an\layer 'game_2_outline'
    13→ui = an\layer 'ui'
    14→
    15→-- Resources
    16→an\font 'main', 'assets/LanaPixel.ttf', 11
    17→an\image 'ball', 'assets/slight_smile.png'

The file E:\a327ex\Anchor\framework\main.yue has been updated. Here's the result of running `cat -n` on a snippet of the edited file:
   225→  -- Draw slowing zone to ui layer (no shadow/outline effects)
   226→  for zone in *an\all 'slowing_zone'
   227→    zone\draw ui
   228→
   229→-- Global draw function - called by C after update
   230→-- Handles: render source layers, create derived layers, composite to screen
   231→draw = ->
   232→  -- 1. Render source layers (process queued commands to FBOs)
   233→  bg\render!
   234→  game\render!
   235→  game_2\render!
   236→  ui\render!
   237→
   238→  -- 2. Create derived layers (copy through shaders)
   239→  shadow\clear!
   240→  shadow\draw_from game, an.shaders.shadow
   241→  shadow\draw_from game_2, an.shaders.shadow
   242→
   243→  shader_set_vec2 an.shaders.outline, "u_pixel_size", 1/W, 1/H
   244→  game_outline\clear!
   245→  game_outline\draw_from game, an.shaders.outline
   246→  game_2_outline\clear!
   247→  game_2_outline\draw_from game_2, an.shaders.outline
   248→
   249→  -- 3. Composite to screen (visual back-to-front order)
   250→  bg\draw!
   251→  shadow\draw 4, 4
   252→  game_outline\draw!
   253→  game\draw!
... [4 more lines]

The file E:\a327ex\Anchor\framework\main.yue has been updated. Here's the result of running `cat -n` on a snippet of the edited file:
   143→-- Ball class
   144→ball_radius = 10
   145→ball_scale = ball_radius * 2 / an.images.ball.width
   146→
   147→class ball extends object
   148→  new: (@x, @y) =>
   149→    super!
   150→    @\tag 'ball'
   151→    @\tag 'drawable'
   152→    @impulsed = false
   153→    @original_speed = 0
   154→    @flash = false
   155→    @\add timer!
   156→    @\add spring!
   157→    @\add collider 'ball', 'dynamic', 'circle', ball_radius
   158→    @collider\set_position @x, @y
   159→    @collider\set_restitution 1
   160→    @collider\set_friction 1
   161→
   162→  draw: (layer) =>
   163→    local angle = @collider\get_angle!
   164→    local scale = ball_scale * @spring.main.x
   165→    layer\push @x, @y, angle, scale, scale
   166→    layer\image an.images.ball, 0, 0, nil, @flash and white or nil
   167→    layer\pop!
   168→
   169→-- Spawn ball on K, impulse on P
   170→an\action =>
   171→  if key_is_pressed 'k'

The file E:\a327ex\Anchor\framework\main.yue has been updated. Here's the result of running `cat -n` on a snippet of the edited file:
   204→      local scale = ball.original_speed / current_speed
   205→      ball.collider\set_velocity vx * scale, vy * scale
   206→    ball.collider\set_gravity_scale 1
   207→
   208→  for event in *an\hit_events 'ball', 'wall'
   209→    local ball = event.a
   210→    if event.approach_speed > 300
   211→      ball.flash = true
   212→      ball.timer\after 0.15, 'flash', -> ball.flash = false
   213→      ball.spring\pull 'main', 0.2
   214→
   215→-- Queue draw commands during update
   216→an\late_action 'draw', =>
   217→  -- Draw background

1→# Phase 10 Progress
     2→
     3→This document captures the current state of Phase 10 implementation and decisions made.
     4→
     5→---
     6→
     7→## Project Structure
     8→
     9→We moved away from submodules and symlinks to a simpler copy-based approach.
    10→
    11→### Anchor Repository
    12→
    13→```
    14→Anchor/
    15→├── engine/
    16→│   ├── src/anchor.c
    17→│   ├── build/
    18→│   │   └── anchor.exe
    19→│   ├── build.bat           # Build C code (desktop)
    20→│   ├── build-web.sh        # Build C code (web)
    21→│   └── run.bat             # Run engine with framework/ (no yue compile)
    22→├── framework/              # Framework testing environment
    23→│   ├── anchor/             # Master framework (YueScript source)
    24→│   │   ├── init.yue
    25→│   │   ├── object.yue
    26→│   │   ├── layer.yue
    27→│   │   ├── image.yue
    28→│   │   ├── font.yue
    29→│   │   ├── timer.yue
    30→│   │   ├── collider.yue
... [785 more lines]

The file E:\a327ex\Anchor\docs\PHASE_10_PROGRESS.md has been updated. Here's the result of running `cat -n` on a snippet of the edited file:
    25→│   │   ├── object.yue
    26→│   │   ├── layer.yue
    27→│   │   ├── image.yue
    28→│   │   ├── font.yue
    29→│   │   ├── timer.yue
    30→│   │   ├── collider.yue
    31→│   │   ├── spring.yue
    32→│   │   └── math.yue
    33→│   ├── assets/             # Test assets
    34→│   ├── main.yue            # Test file
    35→│   ├── yue.exe             # YueScript compiler
    36→│   ├── run.bat             # Compile .yue + run desktop

The file E:\a327ex\Anchor\docs\PHASE_10_PROGRESS.md has been updated. Here's the result of running `cat -n` on a snippet of the edited file:
   105→
   106→```yuescript
   107→global *
   108→
   109→require 'anchor.object'
   110→require 'anchor.layer'
   111→require 'anchor.image'
   112→require 'anchor.font'
   113→require 'anchor.timer'
   114→require 'anchor.math'
   115→require 'anchor.collider'
   116→require 'anchor.spring'
   117→
   118→an = object 'an'
   119→an.layers = {}
   120→an.images = {}
   121→an.fonts = {}
   122→

The file E:\a327ex\Anchor\docs\PHASE_10_PROGRESS.md has been updated. Here's the result of running `cat -n` on a snippet of the edited file:
   480→- **Exponential:** `expo` (all variants)
   481→- **Circular:** `circ` (all variants)
   482→- **Bounce:** `bounce` (all variants)
   483→- **Back:** `back` (overshoots, all variants)
   484→- **Elastic:** `elastic` (springy, all variants)
   485→
   486→---
   487→
   488→## Spring Module
   489→
   490→The `spring` class is a child object that provides damped spring animations for juicy visual effects.
   491→
   492→### Design Decisions
   493→
   494→1. **Container pattern** — One spring object holds multiple named springs (like timer holds multiple timers)
   495→2. **Default 'main' spring** — Every spring object starts with a 'main' spring at value 1 (useful for scale effects)
   496→3. **Direct property access** — Springs accessible as `@spring.name.x` for clean usage
   497→4. **Early update** — Springs update in early phase so values are ready for main/late phases
   498→5. **Standard damped spring physics** — Uses equation `a = -k*(x - target) - d*v`
   499→
   500→### API Reference
   501→
   502→```yuescript
   503→@\add spring!                        -- Add spring child (creates default 'main' at value 1)
   504→@spring\add 'scale', 1, 200, 10      -- Add named spring: name, initial, stiffness, damping
   505→@spring\pull 'main', 0.5             -- Apply impulse (adds to current value)
   506→@spring\pull 'scale', 0.3, 200, 5    -- Pull with custom k/d
   507→@spring\set_target 'main', 2         -- Change resting point (animates toward new value)
   508→@spring\at_rest 'main'               -- Check if spring has settled
... [47 more lines]

The file E:\a327ex\Anchor\docs\PHASE_10_PROGRESS.md has been updated. Here's the result of running `cat -n` on a snippet of the edited file:
   696→| `math` module (lerp, easing functions: linear, sine, quad, cubic, quart, quint, expo, circ, bounce, back, elastic) | Done |
   697→| Physics world on `an` (physics_init, physics_set_gravity, physics_tag, physics_collision, physics_sensor, physics_hit) | Done |
   698→| Collision query methods on `an` (collision_begin_events, collision_end_events, sensor_begin_events, sensor_end_events, hit_events) | Done |
   699→| `collider` class (body creation, shapes, position/velocity, forces, properties, destroy) | Done |
   700→| `collider` sensor shape support via opts table `{sensor: true}` | Done |
   701→| Event normalization (a/b match query tag order) | Done |
   702→| Spatial queries on `an` (query_point, query_circle, query_aabb, query_box, query_capsule, query_polygon, raycast, raycast_all) | Done |
   703→| `spring` class (add, pull, set_target, at_rest, early_update) | Done |
   704→
   705→---
   706→
   707→## Module Architecture

The file E:\a327ex\Anchor\docs\PHASE_10_PROGRESS.md has been updated. Here's the result of running `cat -n` on a snippet of the edited file:
   873→| **Pure utilities** | math (lerp, easing) | Done |
   874→| **Pure utilities** | array, string | Not started |
   875→| **Value objects** | color | Not started |
   876→| **Resource manager** | sounds, music on `an` | Not started |
   877→| **Child objects** | timer | Done |
   878→| **Child objects** | collider | Done |
   879→| **Child objects** | spring | Done |
   880→| **Child objects** | random, input, camera, animation, shake | Not started |
   881→| **Physics** | Spatial queries on `an` (query_point, query_circle, raycast, etc.) | Done |
   882→| **External libs** | Integrate lua-geo2d for collision utilities | Not started |
   883→

The file E:\a327ex\Anchor\docs\PHASE_10_PROGRESS.md has been updated. Here's the result of running `cat -n` on a snippet of the edited file:
   739→|--------|-------------|-------|
   740→| **input** | Input bindings context | `@\add input!` then `@input\is_pressed 'jump'` |
   741→| **random** | Seeded RNG instance | `@\add random seed` then `@random\float 0, 1` |
   742→| **timer** | Delays, repeating callbacks, tweens | `@\add timer!` then `@timer\after 2, -> ...` |
   743→| **spring** | Damped spring animation | `@\add spring!` then `@spring\pull 'main', 0.5` |
   744→| **collider** | Box2D physics body | `@\add collider 'enemy', 'dynamic', 'circle', 16` |
   745→| **camera** | Viewport with position, zoom, rotation | `an\add camera!` then `an.camera\follow player` |
   746→| **animation** | Sprite animation | `@\add animation 'walk', 0.1` |
   747→| **shake** | Shake effect | `@\add shake!` then `@shake\shake 10, 0.5` |

Web search results for query: "HaxeFlixel FlxCamera system features API documentation 2025"

Links: [{"title":"flixel.FlxCamera - HaxeFlixel API","url":"https://api.haxeflixel.com/flixel/FlxCamera.html"},{"title":"flixel.system.frontEnds.CameraFrontEnd - HaxeFlixel API","url":"https://api.haxeflixel.com/flixel/system/frontEnds/CameraFrontEnd.html"},{"title":"FlxCamera - API Documentation","url":"https://flixel.org/docs/org/flixel/FlxCamera.html"},{"title":"flixel (5.2.0)","url":"https://lib.haxe.org/p/flixel/5.2.0/releasenotes"},{"title":"flixel.addons.display.FlxZoomCamera - HaxeFlixel API","url":"https://api.haxeflixel.com/flixel/addons/display/FlxZoomCamera.html"},{"title":"flixel.FlxG - HaxeFlixel API","url":"https://api.haxeflixel.com/flixel/FlxG.html"},{"title":"FlxCamera | HaxeFlixel - 2D Game Engine","url":"https://haxeflixel.com/demos/FlxCamera/"},{"title":"flixel/flixel/FlxCamera.hx at dev · HaxeFlixel/flixel","url":"https://github.com/HaxeFlixel/flixel/blob/dev/flixel/FlxCamera.hx"},{"title":"flixel/flixel/FlxCamera.hx at master · HaxeFlixel/flixel","url":"https://github.com/HaxeFlixel/flixel/blob/master/flixel/FlxCamera.hx"},{"title":"flixel/CHANGELOG.md at master · HaxeFlixel/flixel","url":"https://github.com/HaxeFlixel/flixel/blob/master/CHANGELOG.md"}]

Based on the search results, here's information about HaxeFlixel's FlxCamera system features and API documentation:

## FlxCamera Overview

FlxG is a global helper class for audio, input, the camera system, the debugger and other global properties.(no content)HaxeFlixel is a 2D Game Engine that lets you create cross-platform games easier with free, open source technology.

## Core FlxCamera Features

### Drawing and Display

- FlxCamera determines on which FlxCameras objects will be drawn. If it is null or has not been set, it uses the list of default draw targets, which is controlled via FlxG.camera.setDefaultDrawTarget as well as the DefaultDrawTarget argument of FlxG.camera.add.
- The camera has an alpha value (a number between 0.0 and 1.0) and an angle of the camera display (in degrees).
- The camera can be smooth and filtered, or chunky and pixelated. Default behavior is chunky-style.
- The natural background color of the camera is in AARRGGBB format and defaults to FlxG.cameras.bgColor.

### Camera Effects

- The screen can be gradually filled with a color (fade effect).
- The screen can be filled with a color and gradually returns to normal (flash effect).
- The shake function allows specifying Intensity, Duration, OnComplete callback, Force, and Direction parameters.

### Camera Control

- You can move the camera focus to a location instantly.
- You can tell the camera object what FlxObject to track.
- You can specify the bounds of where the camera is allowed to move. Set the boundary of a side to null to leave that side unbounded.
- Any FlxCamera with a zoom of 0 (the default value) will use the default zoom value. You can instantiate a new camera at a specified location, with specified size and zoom level.

### CameraFrontEnd (FlxG.cameras)
... [18 more lines]

Web search results for query: "Cute Framework cf_camera API features documentation 2D game"

Links: [{"title":"GitHub - RandyGaul/cute_framework: The *cutest* framework out there for creating 2D games in C++!","url":"https://github.com/RandyGaul/cute_framework"},{"title":"A Tour of CF Renderer - Cute Framework","url":"https://randygaul.github.io/cute_framework/topics/renderer/"},{"title":"Debug/Tools UI - Cute Framework","url":"https://randygaul.github.io/cute_framework/topics/dear_imgui/"},{"title":"Cuteframework - Free Software Directory","url":"https://directory.fsf.org/wiki/Cuteframework"},{"title":"cute_headers - Game Framework in C/C++ | Handmade Network","url":"https://handmade.network/forums/wip/t/3037-cute_headers_-_game_framework_in_c_c++/3"},{"title":"Game Engines Database","url":"https://enginesdatabase.com/?programming_languages=1"},{"title":"Cute Framework","url":"https://randygaul.github.io/cute_framework/"},{"title":"Oxygine - 2D C++ game framework","url":"https://oxygine.org/"},{"title":"Swift and the Cute 2d game framework: Setting up a project with CMake | Hacker News","url":"https://news.ycombinator.com/item?id=44199699"},{"title":"Swift and Cute Framework: Setting up a project with CMake · layer|twenty|two","url":"https://layer22.com/swift-and-cute-framework-setting-up-a-project-with-cmake"}]

Based on my search, I found information about Cute Framework (CF) for 2D game development, but the specific `cf_camera` API documentation wasn't directly in the results. Let me search more specifically for the camera API:

Links: [{"title":"A Tour of CF Renderer - Cute Framework","url":"https://randygaul.github.io/cute_framework/topics/renderer/"},{"title":"Debug/Tools UI - Cute Framework","url":"https://randygaul.github.io/cute_framework/topics/dear_imgui/"},{"title":"Camera API","url":"http://robnyman.github.io/camera-api/"},{"title":"Camera Control Using the FCam API","url":"https://docs.nvidia.com/gameworks/content/technologies/mobile/native_android_fcam.htm"},{"title":"Reusable Camera Framework","url":"https://www.einfochips.com/reusable-camera-frameworks/"},{"title":"Camera API | Android media | Android Developers","url":"https://developer.android.com/media/camera/camera-deprecated/camera-api"},{"title":"Camera2 Android API — Full Guide. Camera2 is the latest Android camera… | by Rodax | Medium","url":"https://rodxander.medium.com/camera2-android-api-full-guide-bcf47a1524c3"},{"title":"Camera Capacitor Plugin API | Ionic Framework","url":"https://ionicframework.com/docs/native/camera"},{"title":"camera-api · GitHub Topics · GitHub","url":"https://github.com/topics/camera-api"},{"title":"Camera Capacitor Plugin API | Capacitor Documentation","url":"https://capacitorjs.com/docs/apis/camera"}]

Let me search more specifically for the Cute Framework camera documentation:

Links: [{"title":"Cute Framework","url":"https://randygaul.github.io/cute_framework/"},{"title":"A Tour of CF Renderer - Cute Framework","url":"https://randygaul.github.io/cute_framework/topics/renderer/"},{"title":"Debug/Tools UI - Cute Framework","url":"https://randygaul.github.io/cute_framework/topics/dear_imgui/"},{"title":"Virtual File System - Cute Framework","url":"https://randygaul.github.io/cute_framework/topics/virtual_file_system/"}]

Based on my searches, here's what I found about **Cute Framework (CF)** for 2D game development:

## Cute Framework Overview

Cute Framework (CF) is the cutest framework available for making 2D games in C++. It provides a portable foundational layer for building 2D games in C/C++ without baggage, gnarly dependencies, or cryptic APIs.(no content)CF runs almost anywhere, including Windows, MacOS, iOS, Android, Linux, Browsers, and more!

## Renderer Features

The renderer in CF (Cute Framework) has grown into something quite unique since its inception. Let us go through a tour from the ground up and cover the design and implementation of a novel, full-featured, high-performance, cross-platform 2D renderer.

The framework includes:

- Antialiasing that works regardless of camera zoom, window dimensions, and not subject itself to weird alias acne artifacts.
- If you want to draw sprites, lines/shapes, or text, see: cute_draw.h

## Key API Components

The API is largely centered around constructing shaders CF_Shader, canvases (CF_Canvas), meshes (CF_Mesh), materials (CF_Material), and textures (CF_Texture). The shader itself is constructed originally from input GLSL 450, and is cross-compiled to SPIRV internally.

... [12 more lines]

Web search results for query: "GameMaker camera system view features follow zoom bounds shake"

Links: [{"title":"How To Create A Camera System In GameMaker | GameMaker","url":"https://gamemaker.io/en/tutorials/cameras-and-views"},{"title":"[GMS2] Meet the Camera System – MaddeStudios","url":"https://maddestudiosgames.com/gms2-meet-the-camera-system/"},{"title":"GitHub - mosmystery/M-Camera: A flexible camera system for GameMaker, focused on quick setup and ease of use.","url":"https://github.com/mosmystery/M-Camera/"},{"title":"[SOLVED] Screen Shake Follow Camera/Player | GameMaker Community","url":"https://forum.gamemaker.io/index.php?threads/solved-screen-shake-follow-camera-player.50796/"},{"title":"[All-in-One] Camera for Gamemaker by jasontomlee","url":"https://jasontomlee.itch.io/camera-gamemaker-2-all-in-one-screenshake-follow-zoom"},{"title":"View shakes when following object - Programming Q&A - GameMaker Community","url":"http://gmc.yoyogames.com/index.php?showtopic=627565"},{"title":"GAME MAKER STUDIO: Multiplayer Camera | telefrag","url":"https://telefragent.wixsite.com/telefrag/game-maker-studio-multiplayer-camera"},{"title":"GameMaker: Smooth pixel-perfect camera","url":"https://yal.cc/gamemaker-smooth-pixel-perfect-camera/"},{"title":"Camera zoom in and out. | GameMaker Community","url":"https://forum.gamemaker.io/index.php?threads/camera-zoom-in-and-out.48482/"},{"title":"GameMaker Community","url":"https://forum.gamemaker.io/index.php?threads%2Fcamera-zooming.85893%2F="}]

Here are the search results for GameMaker camera system features:

## Official GameMaker Tutorial

The camera view can follow the player around the room in a more "organic" way, easing into different positions depending on the direction keys pressed. This is a great way to let the player see more of the room to avoid traps or enemies.

### Bounds/Room Edge Handling
However, the camera can leave the room bounds, which breaks immersion as you can see the "edge" of the room.

### Zoom Feature
Another way to use camera views is to zoom the visible area in and out, using the mouse wheel to control the zoom level.(no content)The `clamp` function is used to ensure the zoom value doesn't go below 0.2 or above 2, preventing the user from zooming out too far or in too much.

### Screen Shake
You can add a screen shake effect when the player hits an enemy using the camera view angle value, with code that adjusts `shakeMag` and uses `camera_set_view_angle()` with random values.

## GMS2 Camera System Guide (MaddeStudios)

The "Object Following" makes the camera follow a chosen object. The view border is how close the object needs to be to the bounds of the view (in pixels) before the camera follows it. View speed controls how fast the camera will follow when moving past the border.(no content)Setting speeds of -1 makes the view move instantly to contain the object.(no content)For screenshake, you can assign a script using `camera_set_view_pos(view_camera[view_current], random_range(-6,6), random_range(-6,6))` to shake the camera assigned to the current view.

## M-Camera (Free GitHub Asset)

M-Camera is a flexible camera system for GameMaker, focused on quick setup and ease of use.(no content)It can shake the camera by position, angle, and/or zoom, around/towards anchor points, with arcade-style jitter or realistic brownian motion. Designed with single-view games in mind.

Key methods include:

- `set_position_anchor()`, `set_angle_anchor()`, `set_zoom_anchor()` for following objects
- `set_boundary()` for room bounds
... [12 more lines]

Web search results for query: "MonoGame 2D camera system features follow zoom bounds viewport matrix"

Links: [{"title":"Orthographic Camera | MonoGame.Extended","url":"https://www.monogameextended.net/docs/features/camera/orthographic-camera/"},{"title":"Camera | MonoGame.Extended","url":"https://www.monogameextended.net/docs/features/camera/"},{"title":"Tutorial 5 – Creating a 2D Camera with Pan and Zoom in MonoGame | Creating a Roguelike Game in C#","url":"https://roguesharp.wordpress.com/2014/07/13/tutorial-5-creating-a-2d-camera-with-pan-and-zoom-in-monogame/"},{"title":"Simple 2D Camera - Community | MonoGame","url":"https://community.monogame.net/t/simple-2d-camera/9135"},{"title":"Monogame-Examples/CommonSources/Camera2D.cs at master · panthernet/Monogame-Examples","url":"https://github.com/panthernet/Monogame-Examples/blob/master/CommonSources/Camera2D.cs"},{"title":"Monogame 2D Camera. Welcome to Monogame. Monogame is a nice… | by Matt Perley | Medium","url":"https://medium.com/@matt-perley-21/monogame-2d-camera-fa8076d008dc"},{"title":"Limiting 2D Camera Movement with Zoom","url":"https://www.david-gouveia.com/limiting-2d-camera-movement-with-zoom"},{"title":"Implementing a 2D camera in MonoGame - dylanwilson.net","url":"http://vodacek.zvb.cz/archiv/598.html"},{"title":"ManBeardGames 2D Camera","url":"https://manbeardgames.com/tutorials/2d-camera/"},{"title":"2D camera issue - Community | MonoGame","url":"https://community.monogame.net/t/2d-camera-issue/14470"}]

Based on the search results, here's comprehensive information about MonoGame 2D camera system features:

## MonoGame 2D Camera System Features

### Transformation Matrix
The camera system uses transformation matrices to efficiently control the rendering view while your game objects remain at their world positions.(no content)The camera works by providing a transformation matrix to the SpriteBatch. This matrix is a mathematical construct that describes how to transform coordinates from one space to another—in this case, from world space (where your objects live) to screen space (what appears on the monitor).(no content)Calculating a new transformation matrix is done through the multiplication of a translation matrix of position, a rotation matrix of rotation, a scale matrix of zoom, and an additional translation matrix of origin. Once we have each of these individual matrices, we can multiply them all together to get our final transformation matrix.

### Viewport Integration
The first constructor allows passing in a reference to an existing ViewPort, useful because it allows using the Viewport from the Game1 class provided by default by MonoGame. The second constructor allows supplying a width and height, which will create a viewport reference based on these dimensions.

### Zoom Features
If IsZoomClampedToWorldBounds is true, the camera prevents zooming out to a level where the viewport would exceed the world bounds.(no content)The zoom operations center on the camera's Origin point, which is typically set to the viewport center. The ZoomIn and ZoomOut methods provide overloads that accept a world position as the zoom center. This allows you to zoom toward a specific point, such as the mouse cursor position, while keeping that point fixed on the screen.(no content)When the camera isn't zoomed at all (Zoom property is 1), the area the camera can see corresponds exactly to the game's Viewport. If you're zoomed in, you can see less of the world. Conversely, if you're zoomed out you can see more than you could before.

### World Bounds Clamping
Position Clamping: The camera position is automatically adjusted so the viewport edges stay within the world bounds. If you try to move the camera beyond the boundaries, it will stop at the edge.(no content)Small World Handling: If the world bounds are smaller than the viewport (e.g. a 400x300 world with a 800x480 viewport), the camera automatically centers itself on the world bounds rather than clamping to edges.(no content)Rotation Limitations: World bounds clamping only works when the camera has no rotation (Rotation = 0) and the pitch is at default (Pitch = 1.0f). This is because calculating accurate boundaries with rotation is complex.

### Follow System
The OrthographicCamera provides everything you need for 2D games, with features like smooth following, zoom control, rotation, world bounds constraints, and parallax scrolling.(no content)You can have a camera that follows the player while zooming in, rotating, and applying screen shake all at the same time. The transformation matrix handles all of these operations together.

### MonoGame.Extended Library
The OrthographicCamera provides a 2D camera system with no depth perception, making it ideal for 2D games. It uses transformation matrices to control what portion of your game world is visible on the screen without requiring you to manually reposition every game object.(no content)The OrthographicCamera is designed for 2D games and provides a view with no depth perception. This is the camera type you'll use for most 2D games, including: Platformers, Top-down games, Puzzle games, and 2D action games.


REMINDER: You MUST include the sources above in your response to the user using markdown hyperlinks.

# HaxeFlixel FlxCamera Features Overview

## Core Properties

**Display Control:**

- `x`, `y`: Screen position (ignores zoom)
- `width`, `height`: Camera dimensions in game pixels
- `zoom`: Magnification level (1 = 1:1, 2 = 2x)
- `alpha`: Transparency (0.0-1.0)
- `angle`: Rotation in degrees
- `antialiasing`: Toggle pixelated vs. smooth rendering

**Visual Rendering:**

- `buffer`: BitmapData for blit render mode pixel manipulation
- `canvas`: Sprite for tile render mode graphics
- `color`: Tint overlay
- `bgColor`: Background fill color (AARRGGBB format)
- `useBgAlphaBlending`: Preserve previous frame graphics when transparent

## Scrolling & Bounds

**Viewport Management:**

- `scroll`: Parallax position (camera's top-left in world coordinates)
- `focusOn(point)`: Instantly center on a world location
- `minScrollX/Y`, `maxScrollX/Y`: Constrain camera movement
- `setScrollBounds()`, `setScrollBoundsRect()`: Define movement boundaries
- `bindScrollPos()`: Restrict scroll position to bounds

**View Metrics:**

- `viewX`, `viewY`, `viewWidth`, `viewHeight`: World-space camera viewport
... [58 more lines]

# p5play Camera System: Features & Patterns

## Core Features

**Positioning**: The camera defaults to center-aligned in canvas middle. Position via direct property assignment (`camera.x`, `camera.y`) or the `camera.moveTo()` function.

**Zoom Control**: Two approaches exist—direct property modification (`camera.zoom = 0.5`) and the async `zoomTo(target, speed)` method for "smoothly zoom the camera in and out."

**Layer Management**: The system distinguishes world-space and UI-space rendering through `camera.on()` and `camera.off()` calls, enabling selective camera influence over different sprite groups.

## Elegant Design Patterns

1. **Gameplay Integration**: Camera logic fits naturally in the `drawFrame()` function, which "runs after the physics simulation," enabling responsive tracking without artificial delays.

2. **Mouse Coordinate Awareness**: The framework provides dual mouse position tracking—`mouse.x` for world coordinates and `mouse.canvasPos.x` for screen-relative input, simplifying UI development.

3. **Decoupled Rendering**: Developers manually control sprite drawing order while the camera system manages transform state, offering flexibility without forcing architectural patterns.

4. **Persistent Interactivity**: "sprite.mouse functions still work, whether the camera is on or off," maintaining collision detection and input handling regardless of camera state.

This design prioritizes developer control while automating viewport mathematics.

Web search results for query: ""camera lerp" "lead offset" anticipate movement game camera technique"

No links found.

The search didn't return any results for that specific combination of terms. Let me try a broader search to find information about these game camera techniques.

Links: [{"title":"How to Make a Good 2D Camera - by Mark Brown","url":"https://gmtk.substack.com/p/how-to-make-a-good-2d-camera"},{"title":"Third Person Camera View in Games - a record of the most common problems in modern games, solutions taken from new and retro games","url":"https://www.gamedeveloper.com/design/third-person-camera-view-in-games---a-record-of-the-most-common-problems-in-modern-games-solutions-taken-from-new-and-retro-games"},{"title":"How Camera Angles Impact Gameplay & Player Focus","url":"https://www.zleague.gg/theportal/camera-control-gaming/"},{"title":"Beginning Game Development: Camera Follow | by Lem Apperson | Medium","url":"https://medium.com/@lemapp09/beginning-game-development-camera-follow-aeff0120bef3"},{"title":"hypercasual Game UX with Video Game Camera perspective","url":"https://denebgames.com/blog/hyper-casual-game-ux-with-camera-perspective"},{"title":"A 3rd Person Camera in a Complex Voxel World | by DreamCat Games | Medium","url":"https://bonsairobo.medium.com/a-3rd-person-camera-in-complex-voxel-world-523944d5335c"},{"title":"The Silent Director: Mastering Camera Techniques in Video Games - Wayline","url":"https://www.wayline.io/blog/mastering-camera-techniques-in-video-games"},{"title":"The Foundation of a Third Person Camera","url":"https://www.gamedeveloper.com/programming/the-foundation-of-a-third-person-camera"},{"title":"⚙️ Tech Breakdown: Third Person Cameras in Games - Little Polygon Game Dev Blog","url":"https://blog.littlepolygon.com/posts/cameras/"},{"title":"True First Person Shooter Camera with 2D Aim Offset: Body Rotation & Weapon Position Issues - Character & Animation - Epic Developer Community Forums","url":"https://forums.unrealengine.com/t/true-first-person-shooter-camera-with-2d-aim-offset-body-rotation-weapon-position-issues/127807"}]

Here's what I found about game camera techniques involving lead offset and anticipating movement:

## Camera Lead Offset / Look-Ahead Techniques

"A more involved solution is to shift the camera in front of the character. If you can only move in one direction it's enough to simply offset the camera from the main character."(no content)But if the player can travel both left and right, you'll need to adjust the lookahead based on the direction of travel.

### Examples from Games:

- **Cave Story**: There are two camera positions - one when moving left and one when moving right. They're both offset in front of the player, perfect for shooting targets ahead. When you swap direction, the game slowly glides to change from one position to the other.

- **Sonic Generations**: The camera reacts to Sonic's speed - it settles on the hedgehog when he's standing still, but moves further and further in front of him as he picks up momentum until reaching a maximum position.

- **Hyper Light Drifter**: The camera is offset a few feet in front of the hero's head so no matter which direction you're facing, the camera will frame what's coming up.

## Why Lead Offset Matters

If you keep the character in the middle of the screen at all times, you're dedicating just half of the display to what's in front of you. No surprise why it's so easy to run into spikes in old Sonic games. It might be better to focus more attention on what's coming up and ignore what's behind you.

## Camera Smoothing & Lerp Techniques

Look Ahead: Integrate a look-ahead feature where the camera slightly leads in the direction the player is moving or looking, providing a better view of what's to come.

... [12 more lines]

# Camera Functions in CF Renderer

The documentation mentions camera-related functionality in the context of antialiasing and rendering, but detailed camera API documentation isn't provided in this excerpt.

## Key Camera References

**Antialiasing Factor**: The renderer uses a camera-based scaling system. The code shows: `float inv_cam_scale = 1.0f / len(draw->cam_stack.last().m.y);` This suggests cameras are managed in a stack structure where the current camera's transform matrix affects rendering calculations.

**Camera Zoom Integration**: The documentation notes that "This factor remains constant-size despite zooming in/out with the camera," indicating zoom levels influence how antialiasing is applied to shapes.

## Related Navigation

The sidebar lists **"Transforms"** as a topic (referenced twice, once as "camera/"), suggesting dedicated documentation exists elsewhere for camera transforms, positioning, rotation, and zoom features—but the actual camera API details aren't included in this tour page.

For complete camera functionality, you'd need to check the **Transforms** topic or **API Reference** sections of the Cute Framework documentation.

Web search results for query: "site:randygaul.github.io cute_framework camera transform cf_camera"

Links: [{"title":"A Tour of CF Renderer - Cute Framework","url":"https://randygaul.github.io/cute_framework/topics/renderer/"},{"title":"Debug/Tools UI - Cute Framework","url":"https://randygaul.github.io/cute_framework/topics/dear_imgui/"}]

The search results from the Cute Framework documentation site don't contain specific information about `cf_camera` or camera transform functions. The results mainly cover the renderer overview and Dear ImGui integration.

The documentation mentions that antialiasing "needs to also work regardless of camera zoom, window dimensions", but there's no detailed API documentation for `cf_camera` in these results.

Let me search more specifically for the camera API:

No links found.

That search returned no results. Let me try another approach:

Links: [{"title":"GitHub - RandyGaul/cute_framework: The *cutest* framework out there for creating 2D games in C++!","url":"https://github.com/RandyGaul/cute_framework"},{"title":"Cuteframework - Free Software Directory","url":"https://directory.fsf.org/wiki/Cuteframework"},{"title":"Cute Framework","url":"https://randygaul.github.io/cute_framework/"},{"title":"A Tour of CF Renderer - Cute Framework","url":"https://randygaul.github.io/cute_framework/topics/renderer/"},{"title":"Swift and Cute Framework: Setting up a project with CMake · layer|twenty|two","url":"https://layer22.com/swift-and-cute-framework-setting-up-a-project-with-cmake"},{"title":"Releases · RandyGaul/cute_framework","url":"https://github.com/RandyGaul/cute_framework/releases"},{"title":"CUTE Framework Guide","url":"https://www.cute-test.com/guides/cute-framework-guide/"},{"title":"Cute Framework - Engines Database","url":"https://enginesdatabase.com/engine/cute_framework/"},{"title":"Virtual File System - Cute Framework","url":"https://randygaul.github.io/cute_framework/topics/virtual_file_system/"},{"title":"Debug/Tools UI - Cute Framework","url":"https://randygaul.github.io/cute_framework/topics/dear_imgui/"}]

The searches have not returned specific documentation for `cf_camera` or camera transform functions. The results include general information about the Cute Framework, but not the specific camera API documentation.

Based on the search results, here's what I found:

Cute Framework is "The cutest framework available for making 2D games in C/C++"(no content)The documentation website is the go-to place for finding all the resources available, with quick-links to get started.

The renderer documentation mentions that antialiasing "needs to also work regardless of camera zoom, window dimensions, and not subject itself to weird alias acne artifacts."(no content)A release note mentions "Fixed a critical bug for draw_push transform API involving a mixed up multiply order for projection matrix", which is related to transforms but not specifically `cf_camera`.

Unfortunately, the specific `cf_camera` API documentation doesn't appear in these search results. The documentation for camera functions may be in a different section of the site that wasn't indexed, or you may want to check the source code directly on GitHub at https://github.com/RandyGaul/cute_framework for the camera-related functions.


REMINDER: You MUST include the sources above in your response to the user using markdown hyperlinks.

Web search results for query: "game camera "multiple targets" "auto zoom" framing group follow implementation"

No links found.

The search didn't return any results for that specific query. Let me try a broader search to find relevant information about multi-target game cameras.

Links: [{"title":"XbotGo Auto Zoom: Why It Fails & How to Fix It","url":"https://xbotgo.com/blogs/how-tos/auto-zoom-issues"},{"title":"Multitarget Camera :: Godot 4 Recipes","url":"https://kidscancode.org/godot_recipes/4.x/2d/multi_target_camera/index.html"},{"title":"Camera Targets - FrameForge Knowledge Base","url":"https://support.frameforge.com/article/337-camera-targets"},{"title":"Using camera modes and boundary framing in Zoom Rooms","url":"https://support.zoom.com/hc/en/article?id=zm_kb&sysparm_article=KB0073484"},{"title":"How to zoom a camera in Unity (3 methods with examples) - Game Dev Beginner","url":"https://gamedevbeginner.com/how-to-zoom-a-camera-in-unity-3-methods-with-examples/"},{"title":"Auto-Zoom Camera to See All Players? - Blueprint - Epic Developer Community Forums","url":"https://forums.unrealengine.com/t/auto-zoom-camera-to-see-all-players/554130"},{"title":"Setting up a Zoom Room for Multi-Camera Systems","url":"https://blog.profound-tech.com/zoom-multi-camera"},{"title":"Camera Zoom - GDevelop documentation","url":"https://wiki.gdevelop.io/gdevelop5/extensions/camera-zoom/"},{"title":"Dynamic Zoom: Zooming In and Out While Auto-Tracking in Enabled - PTZOptics","url":"https://ptzoptics.com/dynamic-zoom-zooming-in-and-out-while-auto-tracking-in-enabled/"},{"title":"Auto-Framing (Group Tracking) Feature - PTZOptics","url":"https://ptzoptics.com/auto-framing-group-tracking-feature/"}]

Based on my search, here's what I found about game camera implementations with multiple targets, auto zoom, and group framing:

## Game Development Multi-Target Camera Implementations

### Godot 4 - Multitarget Camera Recipe

The Godot 4 implementation uses a Camera2D with configurable parameters including move_speed (camera position lerp speed), zoom_speed (camera zoom lerp speed), min_zoom (camera won't zoom closer than this), max_zoom (camera won't zoom farther than this), and a margin Vector2 to include buffer area around targets.(no content)The approach uses lerp() for all camera changes, so setting move/zoom speeds to lower values introduces delay in the camera "catching up" to sudden changes.(no content)The margin property adds extra space around the targets so they're not right on the edge of the viewable area.

**Implementation approach:**

- The camera loops through the targets' positions and finds the common center, keeping the camera centered between all targets.
- To find the zoom level, the system creates a rectangle that encloses all the targets using the expand() method, then grows the rect by the margin.
- Depending on whether the rectangle is wider or taller (relative to the screen's aspect ratio), the system finds the scale and clamps it in the max/min range defined.

### Unreal Engine

There are discussions in the Unreal community about projects (both 2D and 3D) wanting cameras to automatically move and "zoom" by moving back and forth to keep all players on screen.

### Unity Camera Zoom Methods

In Unity, there are two ways to smoothly change zoom values: by time (where movement takes place over a fixed duration) and by speed (where duration varies but speed is constant). Smoothing by speed generally involves using the Move Towards function, which increments a value towards a target at a consistent rate.

### Hardware Auto-Framing (Group Tracking)
... [7 more lines]

File created successfully at: E:\a327ex\Anchor\reference\camera-systems-research.md

Exit code 137
[Request interrupted by user for tool use]

E:\a327ex\Anchor\reference\love-compare\anchor\camera.lua

1→--[[
     2→  Module responsible for drawing things through a viewport.
     3→  "an" is a global camera that is attached to every layter by default. (can add ways to change it if the need arises)
     4→  .camera_x and .camera_y are the camera's position in world coordinates, the camera is always centered around those values.
     5→  .camera_w and .camera_h are the camera's size, generally this should be the size of a layer's canvas, which are an.w and an.h by default.
     6→--]]
     7→camera = class:class_new()
     8→function camera:camera(camera_x, camera_y, camera_w, camera_h)
     9→  self.tags.camera = true
    10→  self.camera_x = camera_x or 0
    11→  self.camera_y = camera_y or 0
    12→  self.camera_w = camera_w or an.w
    13→  self.camera_h = camera_h or an.h
    14→  self.camera_r, self.camera_sx, self.camera_sy = 0, 1, 1
    15→
    16→  self.parallax_base = {x = 0, y = 0}
    17→  self.mouse = {x = 0, y = 0}
    18→  self.last_mouse = {x = 0, y = 0}
    19→  self.mouse_dt = {x = 0, y = 0}
    20→  return self
    21→end
    22→
    23→--[[
    24→  Attaches the camera, meaning all further draw operations will be affected by its transform.
    25→  Accepts two values that go from 0 to 1 representing how much parallaxing there should be for the next operations.
    26→  A value of 1 (default) means no parallaxing, meaning elements drawn will move at the same rate as all other elements.
    27→  A value of 0 means maximum parallaxing, meaning elements drawn will not move at all.
    28→  These values can be set on a per-layer basis, so you shouldn't need to call this function manually.
    29→--]]
    30→function camera:camera_attach(parallax_x, parallax_y)
... [113 more lines]

E:\a327ex\Anchor\reference\love-compare\anchor\shake.lua

1→--[[
     2→  This module implements shaking based on https://jonny.morrill.me/en/blog/gamedev-how-to-implement-a-camera-shake-effect/.
     3→  This is a flexible shaking effect that allows for different amplitutes, durations and frequencies.
     4→  The class below implements a shake graph in 1D, which is an array filled with randomized samples that will be used for motion.
     5→]]--
     6→shake_1d = class:class_new()
     7→function shake_1d:shake_1d(amplitude, duration, frequency)
     8→  self.tags.shake_1d = true
     9→  self.amplitude = amplitude or 0
    10→  self.duration = duration or 0
    11→  self.frequency = frequency or 60
    12→
    13→  self.samples = {}
    14→  for i = 1, (self.duration/1000)*self.frequency do self.samples[i] = an:random_float(-1, 1) end
    15→  self.ti = an.time*1000
    16→  self.t = 0
    17→  self.shaking = true
    18→  return self
    19→end
    20→
    21→function shake_1d:shake_get_noise(s)
    22→  return self.samples[s] or 0
    23→end
    24→
    25→function shake_1d:shake_get_decay(t)
    26→  if t >= self.duration then return 0 end
    27→  return (self.duration - t)/self.duration
    28→end
    29→
    30→function shake_1d:shake_get_amplitude(t)
... [133 more lines]

1→global *
     2→
     3→--[[
     4→  Layer class wraps the C layer handle for drawing.
     5→
     6→  Layers are FBOs (framebuffer objects) that accumulate draw commands during the frame.
     7→  Commands are deferred and processed at frame end via layer_render() with GL batching.
     8→  Draw order is FIFO — no z-ordering, call order determines render order.
     9→
    10→  Usage:
    11→    an\layer 'game'                           -- register layer
    12→    game = an.layers.game                     -- access layer
    13→    game\rectangle 100, 100, 50, 30, color    -- queue rectangle
    14→    game\draw!                                -- composite to screen
    15→
    16→  Properties:
    17→    @name   - string, layer identifier
    18→    @handle - C layer pointer
    19→]]
    20→class layer
    21→  --[[
    22→    Creates a new layer with the given name.
    23→
    24→    Usage:
    25→      layer 'game'
    26→      layer 'ui'
    27→
    28→    Behavior:
    29→      - Calls layer_create() which gets or creates a named layer in C
    30→      - Stores the C handle for subsequent draw calls
... [297 more lines]

1→global *
     2→
     3→-- Constants for easing functions
     4→PI = math.pi
     5→PI2 = math.pi / 2
     6→LN2 = math.log 2
     7→LN210 = 10 * math.log 2
     8→
     9→-- Overshoot for back easing
    10→overshoot = 1.70158
    11→
    12→-- Amplitude and period for elastic easing
    13→amplitude = 1
    14→period = 0.0003
    15→
    16→-- Linearly interpolates between source and destination with lerp value t
    17→math.lerp = (t, source, destination) ->
    18→  source * (1 - t) + destination * t
    19→
    20→-- Linear (no easing)
    21→math.linear = (t) -> t
    22→
    23→-- Sine easing
    24→math.sine_in = (t) ->
    25→  if t == 0 then 0
    26→  elseif t == 1 then 1
    27→  else 1 - math.cos t * PI2
    28→
    29→math.sine_out = (t) ->
    30→  if t == 0 then 0
... [298 more lines]

E:\a327ex\Anchor\docs\ENGINE_API.md:1465:### mouse_position
E:\a327ex\Anchor\docs\ENGINE_API.md:1467:`mouse_position() -> x, y`
E:\a327ex\Anchor\docs\ENGINE_API.md:1469:Returns the mouse position in game coordinates.
E:\a327ex\Anchor\docs\ENGINE_API.md:1472:local mx, my = mouse_position()
E:\a327ex\Anchor\docs\ENGINE_API_QUICK.md:205:mouse_position() -> x, y

1→global *
     2→
     3→--[[
     4→  Anchor framework initialization.
     5→
     6→  This file:
     7→    1. Requires all framework classes (object, layer, image, font)
     8→    2. Creates the root object 'an' with resource registries
     9→    3. Attaches registration methods to 'an'
    10→    4. Defines the global update() function called by the C engine
    11→
    12→  The 'an' object is the root of the object tree and the central access point
    13→  for all framework resources (layers, images, fonts).
    14→]]
    15→
    16→require 'anchor.object'
    17→require 'anchor.layer'
    18→require 'anchor.image'
    19→require 'anchor.font'
    20→require 'anchor.timer'
    21→require 'anchor.math'
    22→require 'anchor.collider'
    23→require 'anchor.spring'
    24→
    25→--[[
    26→  Root object for the framework.
    27→
    28→  All game objects should be children of 'an' (directly or nested).
    29→  Resource registries (layers, images, fonts) live here.
    30→
... [596 more lines]

The file E:\a327ex\Anchor\framework\anchor\math.yue has been updated. Here's the result of running `cat -n` on a snippet of the edited file:
    12→-- Amplitude and period for elastic easing
    13→amplitude = 1
    14→period = 0.0003
    15→
    16→-- Linearly interpolates between source and destination with lerp value t
    17→math.lerp = (t, source, destination) ->
    18→  source * (1 - t) + destination * t
    19→
    20→-- Clamps value between min and max
    21→math.clamp = (value, min, max) ->
    22→  if value < min then min
    23→  elseif value > max then max
    24→  else value
    25→
    26→-- Linear (no easing)
    27→math.linear = (t) -> t
    28→

File created successfully at: E:\a327ex\Anchor\framework\anchor\camera.yue

The file E:\a327ex\Anchor\framework\anchor\layer.yue has been updated. Here's the result of running `cat -n` on a snippet of the edited file:
    28→    Behavior:
    29→      - Calls layer_create() which gets or creates a named layer in C
    30→      - Stores the C handle for subsequent draw calls
    31→  ]]
    32→  new: (@name) =>
    33→    @handle = layer_create @name
    34→    @parallax_x = 1
    35→    @parallax_y = 1
    36→    -- @camera defaults to nil (will use an.camera)
    37→
    38→  --[[
    39→    Queues a filled rectangle at (x, y).
    40→

The file E:\a327ex\Anchor\framework\anchor\init.yue has been updated. Here's the result of running `cat -n` on a snippet of the edited file:
    12→  The 'an' object is the root of the object tree and the central access point
    13→  for all framework resources (layers, images, fonts).
    14→]]
    15→
    16→require 'anchor.object'
    17→require 'anchor.layer'
    18→require 'anchor.image'
    19→require 'anchor.font'
    20→require 'anchor.timer'
    21→require 'anchor.math'
    22→require 'anchor.collider'
    23→require 'anchor.spring'
    24→require 'anchor.camera'
    25→
    26→--[[
    27→  Root object for the framework.
    28→

The user doesn't want to proceed with this tool use. The tool use was rejected (eg. if it was a file edit, the new_string was NOT written to the file). To tell you how to proceed, the user said:
just declare an.camera directly on layers instead of this very confusing false, nil distinction

The file E:\a327ex\Anchor\framework\anchor\init.yue has been updated. Here's the result of running `cat -n` on a snippet of the edited file:
   599→        fraction: hit.fraction
   600→      }
   601→  result
   602→
   603→--[[
   604→  Global update function called by the C engine each physics tick (144Hz).
   605→
   606→  Behavior:
   607→    1. Attaches camera transforms to layers
   608→    2. Collects an + all descendants into a flat array
   609→    3. Runs early phase (_early_update) on all objects
   610→    4. Runs main phase (_update) on all objects
   611→    5. Runs late phase (_late_update) on all objects
   612→    6. Runs cleanup to remove dead objects and finished actions
   613→    7. Detaches camera transforms from layers
   614→
   615→  The three phases allow proper ordering:
   616→    - early: input handling, pre-update logic
   617→    - main: game logic, movement, collisions
   618→    - late: drawing, post-update cleanup
   619→
   620→  Note: This is called automatically by the C engine. Do not call manually.
   621→]]
   622→update = (dt) ->
   623→  -- Attach camera transforms to layers before any updates
   624→  for name, layer in pairs an.layers
   625→    if layer.camera
   626→      layer.camera\attach layer, layer.parallax_x, layer.parallax_y
   627→
... [12 more lines]

The file E:\a327ex\Anchor\framework\anchor\layer.yue has been updated. Here's the result of running `cat -n` on a snippet of the edited file:
    28→    Behavior:
    29→      - Calls layer_create() which gets or creates a named layer in C
    30→      - Stores the C handle for subsequent draw calls
    31→  ]]
    32→  new: (@name) =>
    33→    @handle = layer_create @name
    34→    @parallax_x = 1
    35→    @parallax_y = 1
    36→    @camera = nil  -- Set to an.camera after camera is created
    37→
    38→  --[[
    39→    Queues a filled rectangle at (x, y).
    40→

The file E:\a327ex\Anchor\framework\anchor\camera.yue has been updated. Here's the result of running `cat -n` on a snippet of the edited file:
    41→      - Camera starts centered at (w/2, h/2)
    42→      - Zoom defaults to 1, rotation to 0
    43→      - Mouse position in world coords updated each frame
    44→  ]]
    45→  new: (@w=W, @h=H) =>
    46→    super 'camera'
    47→    @x = @w / 2
    48→    @y = @h / 2
    49→    @rotation = 0
    50→    @zoom = 1
    51→    @mouse = {x: 0, y: 0}
    52→
    53→  --[[
    54→    Collects transform effects from children that implement get_transform.
    55→

1→global *
     2→
     3→require 'anchor'
     4→
     5→-- Setup layers
     6→-- game is created first so it renders first, making its texture available for shadow/outline
     7→game = an\layer 'game'
     8→game_2 = an\layer 'game_2'
     9→bg = an\layer 'bg'
    10→shadow = an\layer 'shadow'
    11→game_outline = an\layer 'game_outline'
    12→game_2_outline = an\layer 'game_2_outline'
    13→ui = an\layer 'ui'
    14→
    15→-- Resources
    16→an\font 'main', 'assets/LanaPixel.ttf', 11
    17→an\image 'ball', 'assets/slight_smile.png'
    18→an\shader 'shadow', 'shaders/shadow.frag'
    19→an\shader 'outline', 'shaders/outline.frag'
    20→
    21→-- Screen dimensions
    22→W, H = 480, 270
    23→
    24→-- Initialize physics
    25→an\physics_init!
    26→an\physics_set_gravity 0, 500
    27→an\physics_set_meter_scale 64
    28→
    29→-- Register tags and collisions
    30→an\physics_tag 'ball'
... [230 more lines]

The file E:\a327ex\Anchor\framework\main.yue has been updated. Here's the result of running `cat -n` on a snippet of the edited file:
     1→global *
     2→
     3→require 'anchor'
     4→
     5→-- Screen dimensions (must be before camera)
     6→W, H = 480, 270
     7→
     8→-- Create camera first (layers will reference it)
     9→an\add camera!
    10→
    11→-- Setup layers (only game for testing)
    12→game = an\layer 'game'
    13→-- game_2 = an\layer 'game_2'
    14→-- bg = an\layer 'bg'
    15→-- shadow = an\layer 'shadow'
    16→-- game_outline = an\layer 'game_outline'
    17→-- game_2_outline = an\layer 'game_2_outline'
    18→-- ui = an\layer 'ui'
    19→
    20→-- Resources
    21→an\font 'main', 'assets/LanaPixel.ttf', 11
    22→an\image 'ball', 'assets/slight_smile.png'
    23→-- an\shader 'shadow', 'shaders/shadow.frag'
    24→-- an\shader 'outline', 'shaders/outline.frag'
    25→
    26→-- Initialize physics
    27→an\physics_init!
    28→an\physics_set_gravity 0, 500

The user doesn't want to proceed with this tool use. The tool use was rejected (eg. if it was a file edit, the new_string was NOT written to the file). To tell you how to proceed, the user said:
don't remove that code, just comment it out, we'll use it soon again.

The file E:\a327ex\Anchor\framework\main.yue has been updated. Here's the result of running `cat -n` on a snippet of the edited file:
   213→      ball.flash = true
   214→      ball.timer\after 0.15, 'flash', -> ball.flash = false
   215→      ball.spring\pull 'main', 0.2
   216→
   217→-- Queue draw commands during update
   218→an\late_action 'draw', =>
   219→  -- Draw background to game layer first
   220→  game\rectangle 0, 0, W, H, bg_color
   221→
   222→  -- Draw all drawable objects to game layer
   223→  for obj in *an\all 'drawable'
   224→    obj\draw game
   225→
   226→  -- Draw impulse blocks to game layer (was game_2)
   227→  for obj in *an\all 'impulse_block'
   228→    obj\draw game
   229→
   230→  -- Draw slowing zone to game layer (was ui)
   231→  for zone in *an\all 'slowing_zone'
   232→    zone\draw game
   233→
   234→-- Global draw function - called by C after update
   235→-- Handles: render source layers, create derived layers, composite to screen
   236→draw = ->
   237→  -- Simple single layer for testing
   238→  game\render!
   239→  game\draw!
   240→
   241→  -- -- 1. Render source layers (process queued commands to FBOs)
... [25 more lines]

1→global *
     2→
     3→--[[
     4→  Anchor framework initialization.
     5→
     6→  This file:
     7→    1. Requires all framework classes (object, layer, image, font)
     8→    2. Creates the root object 'an' with resource registries
     9→    3. Attaches registration methods to 'an'
    10→    4. Defines the global update() function called by the C engine
    11→
    12→  The 'an' object is the root of the object tree and the central access point
    13→  for all framework resources (layers, images, fonts).
    14→]]
    15→
    16→require 'anchor.object'
    17→require 'anchor.layer'
    18→require 'anchor.image'
    19→require 'anchor.font'
    20→require 'anchor.timer'
    21→require 'anchor.math'
    22→require 'anchor.collider'
    23→require 'anchor.spring'
    24→require 'anchor.camera'
    25→
    26→--[[
    27→  Root object for the framework.
    28→
    29→  All game objects should be children of 'an' (directly or nested).
    30→  Resource registries (layers, images, fonts) live here.
... [609 more lines]

The file E:\a327ex\Anchor\framework\anchor\camera.yue has been updated. Here's the result of running `cat -n` on a snippet of the edited file:
    62→      - Iterates through children looking for get_transform method
    63→      - Child effects (shake, handcam, etc.) return {x, y, rotation, zoom}
    64→      - All effects are summed together
    65→  ]]
    66→  get_effects: =>
    67→    ox, oy, rotation, zoom = 0, 0, 0, 0
    68→    for child in *@children
    69→      if child.get_transform
    70→        t = child\get_transform!
    71→        ox += t.x or 0
    72→        oy += t.y or 0
    73→        rotation += t.rotation or 0
    74→        zoom += t.zoom or 0
    75→    {x: ox, y: oy, :rotation, :zoom}
    76→
    77→  --[[
    78→    Converts screen coordinates to world coordinates.
    79→

<tool_use_error>File does not exist.</tool_use_error>

The user doesn't want to proceed with this tool use. The tool use was rejected (eg. if it was a file edit, the new_string was NOT written to the file). To tell you how to proceed, the user said:
you should not need to calculate dt manually

1→global *
     2→
     3→class object
     4→  --[[
     5→    Creates a new object with optional name.
     6→
     7→    Usage:
     8→      obj = object!           -- anonymous object
     9→      obj = object 'player'   -- named object
    10→
    11→    Properties initialized:
    12→      @name     - string or nil, used for bidirectional links
    13→      @parent   - reference to parent object, nil if root
    14→      @children - array of child objects
    15→      @dead     - boolean, true when killed (removed at end of frame)
    16→      @tags     - set of tags, used for querying with all(tag) and is()
    17→  ]]
    18→  new: (name) =>
    19→    @name = name
    20→    @parent = nil
    21→    @children = {}
    22→    @dead = false
    23→    @tags = {}
    24→
    25→  --[[
    26→    Adds a child to this object's tree.
    27→
    28→    Usage:
    29→      @\add child
    30→      @\add(object 'timer')\add(object 'collider')  -- chainable
... [476 more lines]

The file E:\a327ex\Anchor\framework\main.yue has been updated. Here's the result of running `cat -n` on a snippet of the edited file:
   167→    layer\push @x, @y, angle, scale, scale
   168→    layer\image an.images.ball, 0, 0, nil, @flash and white or nil
   169→    layer\pop!
   170→
   171→-- Spawn ball on K, impulse on P, camera movement with WASD/arrows
   172→an\action (dt) =>
   173→  if key_is_pressed 'k'
   174→    spawn_x = left_wall_x + wall_width + ball_radius + 20
   175→    spawn_y = wall_top - ball_radius - 5
   176→    an\add ball spawn_x, spawn_y
   177→
   178→  if key_is_pressed 'p'
   179→    for b in *an\all 'ball'
   180→      b.collider\apply_impulse 200, 0
   181→
   182→  camera_speed = 200
   183→  if key_is_down('w') or key_is_down('up')
   184→    an.camera.y -= camera_speed * dt
   185→  if key_is_down('s') or key_is_down('down')
   186→    an.camera.y += camera_speed * dt
   187→  if key_is_down('a') or key_is_down('left')
   188→    an.camera.x -= camera_speed * dt
   189→  if key_is_down('d') or key_is_down('right')
   190→    an.camera.x += camera_speed * dt
   191→
   192→-- Handle collisions
   193→an\early_action 'handle_collisions', =>
   194→  for event in *an\collision_begin_events 'ball', 'impulse_block'

1→global *
     2→
     3→require 'anchor'
     4→
     5→-- Screen dimensions (must be before camera)
     6→W, H = 480, 270
     7→
     8→-- Create camera first (layers will reference it)
     9→an\add camera!
    10→
    11→-- Setup layers (only game for testing)
    12→game = an\layer 'game'
    13→-- game_2 = an\layer 'game_2'
    14→-- bg = an\layer 'bg'
    15→-- shadow = an\layer 'shadow'
    16→-- game_outline = an\layer 'game_outline'
    17→-- game_2_outline = an\layer 'game_2_outline'
    18→-- ui = an\layer 'ui'
    19→
    20→-- Resources
    21→an\font 'main', 'assets/LanaPixel.ttf', 11
    22→an\image 'ball', 'assets/slight_smile.png'
    23→-- an\shader 'shadow', 'shaders/shadow.frag'
    24→-- an\shader 'outline', 'shaders/outline.frag'
    25→
    26→-- Initialize physics
    27→an\physics_init!
    28→an\physics_set_gravity 0, 500
    29→an\physics_set_meter_scale 64
    30→
... [246 more lines]

The file E:\a327ex\Anchor\framework\main.yue has been updated. Here's the result of running `cat -n` on a snippet of the edited file:
     7→
     8→-- Create camera first (layers will reference it)
     9→an\add camera!
    10→
    11→-- Setup layers
    12→game = an\layer 'game'
    13→game_2 = an\layer 'game_2'
    14→bg = an\layer 'bg'
    15→shadow = an\layer 'shadow'
    16→game_outline = an\layer 'game_outline'
    17→game_2_outline = an\layer 'game_2_outline'
    18→ui = an\layer 'ui'
    19→
    20→-- Resources
    21→an\font 'main', 'assets/LanaPixel.ttf', 11
    22→an\image 'ball', 'assets/slight_smile.png'
    23→an\shader 'shadow', 'shaders/shadow.frag'
    24→an\shader 'outline', 'shaders/outline.frag'
    25→
    26→-- Initialize physics
    27→an\physics_init!
    28→an\physics_set_gravity 0, 500

The file E:\a327ex\Anchor\framework\main.yue has been updated. Here's the result of running `cat -n` on a snippet of the edited file:
   223→      ball.flash = true
   224→      ball.timer\after 0.15, 'flash', -> ball.flash = false
   225→      ball.spring\pull 'main', 0.2
   226→
   227→-- Queue draw commands during update
   228→an\late_action 'draw', =>
   229→  -- Draw background
   230→  bg\rectangle 0, 0, W, H, bg_color
   231→
   232→  -- Draw all drawable objects to game layer
   233→  for obj in *an\all 'drawable'
   234→    obj\draw game
   235→
   236→  -- Draw impulse blocks to game_2 layer
   237→  for obj in *an\all 'impulse_block'
   238→    obj\draw game_2
   239→
   240→  -- Draw slowing zone to ui layer
   241→  for zone in *an\all 'slowing_zone'
   242→    zone\draw ui
   243→
   244→-- Global draw function - called by C after update
   245→-- Handles: render source layers, create derived layers, composite to screen
   246→draw = ->
   247→  -- 1. Render source layers (process queued commands to FBOs)
   248→  bg\render!
   249→  game\render!
   250→  game_2\render!
   251→  ui\render!
... [21 more lines]

1→global *
     2→
     3→--[[
     4→  Camera child object for viewport control.
     5→
     6→  Usage:
     7→    an\add camera 480, 270
     8→    an.camera.x = 100
     9→    an.camera.y = 200
    10→    an.camera.zoom = 2
    11→
    12→  Camera is added as a child object, typically to 'an'.
    13→  Layers automatically use an.camera by default (configurable via layer.camera).
    14→
    15→  Camera methods:
    16→    attach       - Apply camera transform to a layer (called automatically)
    17→    detach       - Remove camera transform from a layer (called automatically)
    18→    to_world     - Convert screen coordinates to world coordinates
    19→    to_screen    - Convert world coordinates to screen coordinates
    20→    get_effects  - Collect transform effects from child objects
    21→
    22→  Properties:
    23→    x, y         - Camera center position in world coordinates
    24→    w, h         - Viewport dimensions
    25→    rotation     - Rotation in radians
    26→    zoom         - Zoom level (1 = normal, 2 = 2x magnification)
    27→    mouse        - Table with x, y of mouse in world coordinates
    28→]]
    29→class camera extends object
    30→  --[[
... [163 more lines]

The file E:\a327ex\Anchor\framework\anchor\camera.yue has been updated. Here's the result of running `cat -n` on a snippet of the edited file:
    41→      - Camera starts centered at (w/2, h/2)
    42→      - Zoom defaults to 1, rotation to 0
    43→      - Mouse position in world coords updated each frame
    44→  ]]
    45→  new: (@w=W, @h=H) =>
    46→    super 'camera'
    47→    @x = @w / 2
    48→    @y = @h / 2
    49→    @rotation = 0
    50→    @zoom = 1
    51→    @mouse = {x: 0, y: 0}
    52→    @follow_target = nil
    53→    @follow_speed = 8
    54→    @bounds = nil
    55→
    56→  --[[
    57→    Collects transform effects from children that implement get_transform.
    58→

The file E:\a327ex\Anchor\framework\anchor\camera.yue has been updated. Here's the result of running `cat -n` on a snippet of the edited file:
   184→  detach: (layer) =>
   185→    layer\pop!
   186→    layer\pop!
   187→
   188→  --[[
   189→    Sets the target for the camera to follow.
   190→
   191→    Usage:
   192→      camera\follow player
   193→      camera\follow player, 10  -- faster follow
   194→
   195→    Parameters:
   196→      target - Object with x, y properties
   197→      speed  - Follow speed (default: 8, higher = faster)
   198→
   199→    Behavior:
   200→      - Camera lerps towards target position each frame
   201→      - Pass nil to stop following
   202→  ]]
   203→  follow: (target, speed) =>
   204→    @follow_target = target
   205→    @follow_speed = speed if speed
   206→
   207→  --[[
   208→    Sets the camera bounds.
   209→
   210→    Usage:
   211→      camera\set_bounds -50, W + 50, -50, H + 50
   212→
... [36 more lines]

The file E:\a327ex\Anchor\framework\main.yue has been updated. Here's the result of running `cat -n` on a snippet of the edited file:
     4→
     5→-- Screen dimensions (must be before camera)
     6→W, H = 480, 270
     7→
     8→-- Create camera first (layers will reference it)
     9→an\add camera!
    10→an.camera\set_bounds -50, W + 50, -50, H + 50
    11→
    12→-- Setup layers
    13→game = an\layer 'game'
    14→game_2 = an\layer 'game_2'

The file E:\a327ex\Anchor\framework\main.yue has been updated. Here's the result of running `cat -n` on a snippet of the edited file:
   170→    layer\pop!
   171→
   172→-- Spawn ball on K, impulse on P, camera movement with WASD/arrows
   173→an\action (dt) =>
   174→  if key_is_pressed 'k'
   175→    spawn_x = left_wall_x + wall_width + ball_radius + 20
   176→    spawn_y = wall_top - ball_radius - 5
   177→    new_ball = an\add ball spawn_x, spawn_y
   178→    an.camera\follow new_ball
   179→
   180→  if key_is_pressed 'p'
   181→    for b in *an\all 'ball'
   182→      b.collider\apply_impulse 200, 0

The file E:\a327ex\Anchor\framework\main.yue has been updated. Here's the result of running `cat -n` on a snippet of the edited file:
   170→    layer\pop!
   171→
   172→-- Spawn ball on K, impulse on P, camera movement with WASD/arrows
   173→an\action (dt) =>
   174→  if key_is_pressed 'k'
   175→    spawn_x = left_wall_x + wall_width + ball_radius + 20
   176→    spawn_y = wall_top - ball_radius - 5
   177→    new_ball = ball spawn_x, spawn_y
   178→    an\add new_ball
   179→    an.camera\follow new_ball
   180→
   181→  if key_is_pressed 'p'
   182→    for b in *an\all 'ball'
   183→      b.collider\apply_impulse 200, 0

The file E:\a327ex\Anchor\framework\anchor\camera.yue has been updated. Here's the result of running `cat -n` on a snippet of the edited file:
    48→    @y = @h / 2
    49→    @rotation = 0
    50→    @zoom = 1
    51→    @mouse = {x: 0, y: 0}
    52→    @follow_target = nil
    53→    @follow_speed = 8
    54→    @follow_lead = 0
    55→    @bounds = nil
    56→
    57→  --[[
    58→    Collects transform effects from children that implement get_transform.
    59→

The file E:\a327ex\Anchor\framework\anchor\camera.yue has been updated. Here's the result of running `cat -n` on a snippet of the edited file:
   185→  detach: (layer) =>
   186→    layer\pop!
   187→    layer\pop!
   188→
   189→  --[[
   190→    Sets the target for the camera to follow.
   191→
   192→    Usage:
   193→      camera\follow player
   194→      camera\follow player, 10       -- faster follow
   195→      camera\follow player, 8, 0.5   -- with lead
   196→
   197→    Parameters:
   198→      target - Object with x, y properties (and optionally collider for velocity)
   199→      speed  - Follow speed (default: 8, higher = faster)
   200→      lead   - Lead multiplier (default: 0, how far ahead to look based on velocity)
   201→
   202→    Behavior:
   203→      - Camera lerps towards target position each frame
   204→      - If lead > 0 and target has a collider, camera looks ahead in movement direction
   205→      - Pass nil to stop following
   206→  ]]
   207→  follow: (target, speed, lead) =>
   208→    @follow_target = target
   209→    @follow_speed = speed if speed
   210→    @follow_lead = lead if lead
   211→
   212→  --[[
   213→    Sets the camera bounds.
... [1 more lines]

The file E:\a327ex\Anchor\framework\anchor\camera.yue has been updated. Here's the result of running `cat -n` on a snippet of the edited file:
   233→    Internal: updates follow, bounds, and mouse world position each frame.
   234→
   235→    Called automatically during early_update phase.
   236→  ]]
   237→  early_update: (dt) =>
   238→    -- Follow target
   239→    if @follow_target and not @follow_target.dead
   240→      target_x = @follow_target.x
   241→      target_y = @follow_target.y
   242→      -- Add lead based on velocity
   243→      if @follow_lead > 0 and @follow_target.collider
   244→        vx, vy = @follow_target.collider\get_velocity!
   245→        target_x += vx * @follow_lead
   246→        target_y += vy * @follow_lead
   247→      @x = math.lerp @follow_speed * dt, @x, target_x
   248→      @y = math.lerp @follow_speed * dt, @y, target_y
   249→
   250→    -- Apply bounds
   251→    if @bounds
   252→      half_w = @w / (2 * @zoom)

The file E:\a327ex\Anchor\framework\main.yue has been updated. Here's the result of running `cat -n` on a snippet of the edited file:
   175→    spawn_x = left_wall_x + wall_width + ball_radius + 20
   176→    spawn_y = wall_top - ball_radius - 5
   177→    new_ball = ball spawn_x, spawn_y
   178→    an\add new_ball
   179→    an.camera\follow new_ball, 8, 0.5
   180→
   181→  if key_is_pressed 'p'
   182→    for b in *an\all 'ball'
   183→      b.collider\apply_impulse 200, 0

The user doesn't want to proceed with this tool use. The tool use was rejected (eg. if it was a file edit, the new_string was NOT written to the file). To tell you how to proceed, the user said:
I mean remove the bounds set in main.yue.

The file E:\a327ex\Anchor\framework\main.yue has been updated. Here's the result of running `cat -n` on a snippet of the edited file:
     4→
     5→-- Screen dimensions (must be before camera)
     6→W, H = 480, 270
     7→
     8→-- Create camera first (layers will reference it)
     9→an\add camera!
    10→
    11→-- Setup layers
    12→game = an\layer 'game'
    13→game_2 = an\layer 'game_2'

The file E:\a327ex\Anchor\framework\main.yue has been updated. Here's the result of running `cat -n` on a snippet of the edited file:
   174→    spawn_x = left_wall_x + wall_width + ball_radius + 20
   175→    spawn_y = wall_top - ball_radius - 5
   176→    new_ball = ball spawn_x, spawn_y
   177→    an\add new_ball
   178→    an.camera\follow new_ball, 2, 0
   179→
   180→  if key_is_pressed 'p'
   181→    for b in *an\all 'ball'
   182→      b.collider\apply_impulse 200, 0

E:\a327ex\Anchor\reference\love-compare\anchor\math.lua

1→--[[
     2→  Returns the angle of the vector.
     3→  Examples:
     4→    math.angle()      -> error, expects 2 numbers
     5→    math.angle(1, 0)  -> 0
     6→    math.angle(-1, 0) -> math.pi
     7→    math.angle(0, 1)  -> math.pi/2
     8→    math.angle(0, -1) -> -math.pi/2
     9→]]--
    10→function math.angle(x, y)
    11→  return math.atan2(y, x)
    12→end
    13→
    14→--[[
    15→  Returns the smallest difference between two angles.
    16→  The direction of the difference tells which way you'd need to move from the first to the second angle.
    17→  If you don't care about the direction then just math.abs it.
    18→  Examples:
    19→    math.angle_delta()                      -> error, expects 2 numbers
    20→    math.angle_delta(0, 0)                  -> 0
    21→    math.angle_delta(math.pi, math.pi/4)    -> -3*math.pi/4
    22→    math.angle_delta(-math.pi/2, math.pi/4) -> 3*math.pi/4
    23→    math.angle_delta(-math.pi, math.pi)     -> 0
    24→    math.angle_delta(-math.pi, -math.pi/2)  -> math.pi/2
    25→--]]
    26→function math.angle_delta(a, b)
    27→  local d = math.loop(a-b, 2*math.pi)
    28→  if d > math.pi then d = d - 2*math.pi end
    29→  return -d
    30→end
... [972 more lines]

The file E:\a327ex\Anchor\framework\anchor\math.yue has been updated. Here's the result of running `cat -n` on a snippet of the edited file:
    12→-- Amplitude and period for elastic easing
    13→amplitude = 1
    14→period = 0.0003
    15→
    16→-- Linearly interpolates between source and destination with lerp value t
    17→math.lerp = (t, source, destination) ->
    18→  source * (1 - t) + destination * t
    19→
    20→-- Framerate-independent linear interpolation between source and destination
    21→-- p is the percentage distance covered (0.9 = 90%)
    22→-- t is how long it takes to cover that percentage
    23→-- Examples:
    24→--   x = math.lerp_dt 0.9, 1, dt, x, 100   -> covers 90% of distance in 1 second
    25→--   x = math.lerp_dt 0.5, 0.5, dt, x, 100 -> covers 50% of distance in 0.5 seconds
    26→math.lerp_dt = (p, t, dt, source, destination) ->
    27→  math.lerp 1 - (1 - p)^(dt / t), source, destination
    28→
    29→-- Clamps value between min and max
    30→math.clamp = (value, min, max) ->
    31→  if value < min then min
    32→  elseif value > max then max
    33→  else value
    34→

The file E:\a327ex\Anchor\framework\anchor\camera.yue has been updated. Here's the result of running `cat -n` on a snippet of the edited file:
    48→    @y = @h / 2
    49→    @rotation = 0
    50→    @zoom = 1
    51→    @mouse = {x: 0, y: 0}
    52→    @follow_target = nil
    53→    @follow_lerp = 0.9
    54→    @follow_lerp_time = 0.5
    55→    @follow_lead = 0
    56→    @bounds = nil
    57→
    58→  --[[
    59→    Collects transform effects from children that implement get_transform.

The file E:\a327ex\Anchor\framework\anchor\camera.yue has been updated. Here's the result of running `cat -n` on a snippet of the edited file:
   186→  detach: (layer) =>
   187→    layer\pop!
   188→    layer\pop!
   189→
   190→  --[[
   191→    Sets the target for the camera to follow.
   192→
   193→    Usage:
   194→      camera\follow player
   195→      camera\follow player, 0.9, 0.3    -- cover 90% of distance in 0.3 seconds
   196→      camera\follow player, 0.9, 0.5, 0.1  -- with lead
   197→
   198→    Parameters:
   199→      target    - Object with x, y properties (and optionally collider for velocity)
   200→      lerp      - Percentage of distance to cover (default: 0.9 = 90%)
   201→      lerp_time - Time in seconds to cover that percentage (default: 0.5)
   202→      lead      - Lead multiplier (default: 0, how far ahead to look based on velocity)
   203→
   204→    Behavior:
   205→      - Camera lerps towards target position each frame
   206→      - If lead > 0 and target has a collider, camera looks ahead in movement direction
   207→      - Pass nil to stop following
   208→  ]]
   209→  follow: (target, lerp, lerp_time, lead) =>
   210→    @follow_target = target
   211→    @follow_lerp = lerp if lerp
   212→    @follow_lerp_time = lerp_time if lerp_time
   213→    @follow_lead = lead if lead
   214→
... [3 more lines]

The file E:\a327ex\Anchor\framework\anchor\camera.yue has been updated. Here's the result of running `cat -n` on a snippet of the edited file:
   236→    Internal: updates follow, bounds, and mouse world position each frame.
   237→
   238→    Called automatically during early_update phase.
   239→  ]]
   240→  early_update: (dt) =>
   241→    -- Follow target
   242→    if @follow_target and not @follow_target.dead
   243→      target_x = @follow_target.x
   244→      target_y = @follow_target.y
   245→      -- Add lead based on velocity
   246→      if @follow_lead > 0 and @follow_target.collider
   247→        vx, vy = @follow_target.collider\get_velocity!
   248→        target_x += vx * @follow_lead
   249→        target_y += vy * @follow_lead
   250→      @x = math.lerp_dt @follow_lerp, @follow_lerp_time, dt, @x, target_x
   251→      @y = math.lerp_dt @follow_lerp, @follow_lerp_time, dt, @y, target_y
   252→
   253→    -- Apply bounds
   254→    if @bounds
   255→      half_w = @w / (2 * @zoom)

The file E:\a327ex\Anchor\framework\main.yue has been updated. Here's the result of running `cat -n` on a snippet of the edited file:
   174→    spawn_x = left_wall_x + wall_width + ball_radius + 20
   175→    spawn_y = wall_top - ball_radius - 5
   176→    new_ball = ball spawn_x, spawn_y
   177→    an\add new_ball
   178→    an.camera\follow new_ball
   179→
   180→  if key_is_pressed 'p'
   181→    for b in *an\all 'ball'
   182→      b.collider\apply_impulse 200, 0

1→global *
     2→
     3→-- Constants for easing functions
     4→PI = math.pi
     5→PI2 = math.pi / 2
     6→LN2 = math.log 2
     7→LN210 = 10 * math.log 2
     8→
     9→-- Overshoot for back easing
    10→overshoot = 1.70158
    11→
    12→-- Amplitude and period for elastic easing
    13→amplitude = 1
    14→period = 0.0003
    15→
    16→-- Linearly interpolates between source and destination with lerp value t
    17→math.lerp = (t, source, destination) ->
    18→  source * (1 - t) + destination * t
    19→
    20→-- Framerate-independent linear interpolation between source and destination
    21→-- p is the percentage distance covered (0.9 = 90%)
    22→-- t is how long it takes to cover that percentage
    23→-- Examples:
    24→--   x = math.lerp_dt 0.9, 1, dt, x, 100   -> covers 90% of distance in 1 second
    25→--   x = math.lerp_dt 0.5, 0.5, dt, x, 100 -> covers 50% of distance in 0.5 seconds
    26→math.lerp_dt = (p, t, dt, source, destination) ->
    27→  math.lerp 1 - (1 - p)^(dt / t), source, destination
    28→
    29→-- Clamps value between min and max
    30→math.clamp = (value, min, max) ->
... [313 more lines]

The file E:\a327ex\Anchor\framework\anchor\math.yue has been updated. Here's the result of running `cat -n` on a snippet of the edited file:
     1→global *
     2→
     3→--[[
     4→  Math utility functions and easing curves.
     5→
     6→  Utility functions:
     7→    lerp, lerp_dt           - Linear interpolation
     8→    lerp_angle, lerp_angle_dt - Angle interpolation with wrapping
     9→    clamp                   - Clamp value to range
    10→    loop                    - Loop value within range (for angles)
    11→
    12→  Easing functions:
    13→    linear, sine_*, quad_*, cubic_*, quart_*, quint_*,
    14→    expo_*, circ_*, bounce_*, back_*, elastic_*
    15→]]
    16→
    17→-- Constants for easing functions
    18→PI = math.pi
    19→PI2 = math.pi / 2
    20→LN2 = math.log 2
    21→LN210 = 10 * math.log 2
    22→
    23→-- Overshoot for back easing
    24→overshoot = 1.70158
    25→
    26→-- Amplitude and period for elastic easing
    27→amplitude = 1
    28→period = 0.0003
    29→
... [132 more lines]

The user doesn't want to proceed with this tool use. The tool use was rejected (eg. if it was a file edit, the new_string was NOT written to the file). To tell you how to proceed, the user said:
in main.yue

The file E:\a327ex\Anchor\framework\main.yue has been updated. Here's the result of running `cat -n` on a snippet of the edited file:
   174→    spawn_x = left_wall_x + wall_width + ball_radius + 20
   175→    spawn_y = wall_top - ball_radius - 5
   176→    new_ball = ball spawn_x, spawn_y
   177→    an\add new_ball
   178→    an.camera\follow new_ball, 0.9, 0.1
   179→
   180→  if key_is_pressed 'p'
   181→    for b in *an\all 'ball'
   182→      b.collider\apply_impulse 200, 0

1→global *
     2→
     3→require 'anchor'
     4→
     5→-- Screen dimensions (must be before camera)
     6→W, H = 480, 270
     7→
     8→-- Create camera first (layers will reference it)
     9→an\add camera!
    10→
    11→-- Setup layers
    12→game = an\layer 'game'
    13→game_2 = an\layer 'game_2'
    14→bg = an\layer 'bg'
    15→shadow = an\layer 'shadow'
    16→game_outline = an\layer 'game_outline'
    17→game_2_outline = an\layer 'game_2_outline'
    18→ui = an\layer 'ui'
    19→
    20→-- Resources
    21→an\font 'main', 'assets/LanaPixel.ttf', 11
    22→an\image 'ball', 'assets/slight_smile.png'
    23→an\shader 'shadow', 'shaders/shadow.frag'
    24→an\shader 'outline', 'shaders/outline.frag'
    25→
    26→-- Initialize physics
    27→an\physics_init!
    28→an\physics_set_gravity 0, 500
    29→an\physics_set_meter_scale 64
    30→
... [20 more lines]

The user doesn't want to proceed with this tool use. The tool use was rejected (eg. if it was a file edit, the new_string was NOT written to the file). To tell you how to proceed, the user said:
camera_rotation is more specific

The file E:\a327ex\Anchor\framework\main.yue has been updated. Here's the result of running `cat -n` on a snippet of the edited file:
     4→
     5→-- Screen dimensions (must be before camera)
     6→W, H = 480, 270
     7→
     8→-- Create camera first (layers will reference it)
     9→an\add camera!
    10→an\add spring!
    11→an.spring\add 'camera_rotation', 0
    12→
    13→-- Setup layers
    14→game = an\layer 'game'
    15→game_2 = an\layer 'game_2'
    16→bg = an\layer 'bg'
    17→shadow = an\layer 'shadow'

The file E:\a327ex\Anchor\framework\main.yue has been updated. Here's the result of running `cat -n` on a snippet of the edited file:
   169→    layer\push @x, @y, angle, scale, scale
   170→    layer\image an.images.ball, 0, 0, nil, @flash and white or nil
   171→    layer\pop!
   172→
   173→-- Spawn ball on K, impulse on P, camera movement with WASD/arrows
   174→an\action (dt) =>
   175→  if key_is_pressed 'k'
   176→    spawn_x = left_wall_x + wall_width + ball_radius + 20
   177→    spawn_y = wall_top - ball_radius - 5
   178→    new_ball = ball spawn_x, spawn_y
   179→    an\add new_ball
   180→    an.camera\follow new_ball, 0.9, 0.1
   181→
   182→  if key_is_pressed 'p'
   183→    for b in *an\all 'ball'
   184→      b.collider\apply_impulse 200, 0
   185→
   186→  if key_is_pressed 'r'
   187→    an.spring\pull 'camera_rotation', 0.3
   188→
   189→  an.camera.rotation = an.spring.camera_rotation.x
   190→
   191→  camera_speed = 200
   192→  if key_is_down('w') or key_is_down('up')
   193→    an.camera.y -= camera_speed * dt

Web search results for query: "spring animation intuitive parameters duration damping ratio frequency instead of stiffness"

Links: [{"title":"Effortless UI Spring Animations: A Two-Parameter Approach","url":"https://www.kvin.me/posts/effortless-ui-spring-animations"},{"title":"Demystifying UIKit Spring Animations | by Christian Schnorr | iOS App Development | Medium","url":"https://medium.com/ios-os-x-development/demystifying-uikit-spring-animations-2bb868446773"},{"title":"Designing interaction — spring animations | by Patricio Reyes | Medium","url":"https://medium.com/@patoreyes23/designing-interaction-spring-animations-c8b8788a4b2a"},{"title":"The physics behind spring animations - The Blog of Maxime Heckel","url":"https://blog.maximeheckel.com/posts/the-physics-behind-spring-animations/"},{"title":"How does spring animation duration work? | Figma Forum","url":"https://forum.figma.com/t/how-does-spring-animation-duration-work/28777"},{"title":"Spring Launch Animation: Physics Concepts Explained","url":"https://educationalvoice.co.uk/spring-launch-animation/"},{"title":"GitHub - GetStream/swiftui-spring-animations: This repository serves as your reference and complete guide for SwiftUI Spring Animations. It demonstrates use cases for the various types of spring animations and spring parameters. No more guessing the values of the parameters for spring animations you create for your next iOS app.","url":"https://github.com/GetStream/swiftui-spring-animations"},{"title":"How Figma put the bounce in spring animations | Figma Blog","url":"https://www.figma.com/blog/how-we-built-spring-animations/"},{"title":"animate(withDuration:delay:usingSpringWithDamping:initialSpringVelocity:options:animations:completion:) | Apple Developer Documentation","url":"https://developer.apple.com/documentation/uikit/uiview/1622594-animatewithduration"},{"title":"Animate movement using spring physics | Views | Android Developers","url":"https://developer.android.com/develop/ui/views/animations/spring-animation"}]

Based on the search results, here's what I found about using more intuitive parameters for spring animations:

## The Problem with Traditional Physics Parameters

Using parameters like mass, stiffness, and damping can be both time-consuming and unintuitive.(no content)"It turns out that tweaking mass, stiffness, and damping by hand can be pretty tricky. While these parameters represent physical constants, we as UI designers working with animations don't necessarily think in terms of pure physics. We want animations to be faster or slower, to be more bouncy, or to have less overshoot."(no content)Springs that use mass, stiffness, and damping do not depend on time. The absence of duration makes working with these springs difficult because their motion is unpredictable.

## More Intuitive Alternative Parameters

### 1. **Damping Ratio + Frequency Response** (Apple's Approach)
In the 2018 WWDC Session "Designing Fluid Interfaces," Apple suggested using a different set of parameters that are much more design-friendly: damping ratio and frequency response.(no content)The damping ratio is the ratio of the actual damping coefficient to the critical damping coefficient. A damping ratio of 0 therefore describes an undamped system, while a damping ratio of 1 describes a critically damped system.(no content)To transform our model we take the damping ratio and frequency response equations and solve for spring stiffness (k) and damping coefficient (q). Then, if we set the mass to a constant value of 1, we can control the function using only our two design parameters.

### 2. **Bounce + Perceptual Duration** (Two-Parameter Approach)
By using just two parameters—bounce and perceptual duration—you can simplify the process of creating spring animations, making it more intuitive and efficient for designers and developers.(no content)At 0%, the animation transitions smoothly from one point to another. At 100%, the animation continues to bounce back and forth indefinitely. You can adjust the bounce to achieve the desired amount of springiness.

### 3. **SwiftUI's Response + Damping Fraction** (iOS 17+)
Response: It controls how quickly an animating property value will try to get to a target. You can use the response to create an infinitely-stiff spring by setting its value to zero.(no content)Damping Fraction: Damping fraction causes a gradual reduction in the spring's oscillation. Using damping fraction, you can define how rapidly the oscillations decay from one bounce to the next.

## Conversion Formulas

The conversion formulas are: mass = 1, stiffness = (2π ÷ perceptualDuration)², and damping depends on whether bounce is positive or negative.

## Platform-Specific Implementations

- **Figma**: By boiling down the number of variables from three (mass, stiffness, and damping) to two (horizontal and vertical dragging), they created a simple and intuitive spatial model for animators and designers.

- **Android**: In a spring-based animation, the SpringForce class lets you customize spring's stiffness, its damping ratio, and its final position.
... [6 more lines]

# Spring Animation Parameter Conversion Formulas

Based on the article, here are the correct equations for converting bounce and perceptual duration to physics parameters:

## Conversion Formulas

```
mass = 1
stiffness = (2π ÷ perceptualDuration) ^ 2
damping = ((1 - bounce) × 4π) ÷ perceptualDuration, when bounce ≥ 0
damping = 4π ÷ (perceptualDuration × (1 + bounce)), when bounce < 0
```

## Context

The article notes that "equations for converting bounce and perceptual duration to mass, stiffness, and damping are provided" in Apple's WWDC presentation, but those were incorrect. The corrected formulas came from a thread on the Apple Developer Forum.

## Key Parameters

- **Bounce**: Ranges from 0% (smooth transition) to 100% (indefinite oscillation)
- **Perceptual Duration**: The duration of the animation's key motion, remaining "predictable and consistent" even when bounce changes
- **Mass**: Fixed at 1 for simplification
- **Stiffness (k)**: Controls spring frequency based on duration
- **Damping (d)**: Controls oscillation based on bounce percentage

## Implementation

The author developed two web animation tools utilizing these parameters: a CSS Spring Easing Generator and a Tailwind spring plugin, both available on their site.

# Spring Animation Physics: From Intuitive to Physics Parameters

The article provides the foundational physics equations but doesn't explicitly show conversion formulas between intuitive parameters (damping ratio, natural frequency) and the physics coefficients.

## What the Article Establishes

The piece defines spring force using **Hooke's Law**: `F = -k*x`, where k is stiffness. It also introduces damping force as `Fd = -d*v`, where d is the damping coefficient.

The acceleration formula combines both: `a = (Fspring + Fdamping) / mass`, which becomes `a = (-k*x - d*v) / m`.

## Missing Conversion Formulas

The article doesn't provide explicit conversions between:

- **Damping ratio** (ζ, zeta) — a normalized measure (0 = underdamped, 1 = critically damped)
- **Natural angular frequency** (ωₙ) — oscillation frequency without damping

To those physics parameters directly, the relationships would be:

- `k = m * ωₙ²`
- `d = 2 * ζ * m * ωₙ`

The article focuses on practical implementation using Framer Motion's direct parameters (stiffness, mass, damping) rather than deriving these intermediate relationships. Developers adjust mass, stiffness, and damping values empirically using the playground visualization provided.

Request failed with status code 403

1→global *
     2→
     3→--[[
     4→  Spring child object for damped spring animations.
     5→
     6→  Usage:
     7→    @\add spring!
     8→    @spring\add 'scale', 1, 200, 10
     9→    @spring\pull 'scale', 0.5
    10→
    11→  Spring is added as a child object. When the parent dies, the spring dies automatically.
    12→  A default 'main' spring at value 1 is created on construction.
    13→
    14→  Springs are accessed directly: @spring.main.x, @spring.scale.x
    15→
    16→  Spring methods:
    17→    add          - Add a named spring
    18→    pull         - Apply impulse to a spring
    19→    set_target   - Change resting point
    20→    at_rest      - Check if spring has settled
    21→]]
    22→class spring extends object
    23→  --[[
    24→    Creates a new spring container with default 'main' spring.
    25→
    26→    Usage:
    27→      @\add spring!
    28→
    29→    The spring is automatically named 'spring' and accessible as @spring on the parent.
    30→    A 'main' spring at value 1 is created by default.
... [115 more lines]

The user doesn't want to proceed with this tool use. The tool use was rejected (eg. if it was a file edit, the new_string was NOT written to the file). To tell you how to proceed, the user said:
the gameplay coder does not need to interface with k, d values anymore, so these conversions are only necessary if you can't do it another way, otherwise they can be internal/hidden.

The file E:\a327ex\Anchor\framework\anchor\spring.yue has been updated. Here's the result of running `cat -n` on a snippet of the edited file:
     1→global *
     2→
     3→--[[
     4→  Spring child object for damped spring animations.
     5→
     6→  Usage:
     7→    @\add spring!
     8→    @spring\add 'scale', 1, 0.3, 0.5      -- settles in 0.3s, moderate bounce
     9→    @spring\pull 'scale', 0.5
    10→
    11→  Spring is added as a child object. When the parent dies, the spring dies automatically.
    12→  A default 'main' spring at value 1 is created on construction.
    13→
    14→  Springs are accessed directly: @spring.main.x, @spring.scale.x
    15→
    16→  Spring methods:
    17→    add          - Add a named spring with duration/bounce
    18→    pull         - Apply impulse to a spring
    19→    set_target   - Change resting point
    20→    at_rest      - Check if spring has settled
    21→]]
    22→class spring extends object
    23→  --[[
    24→    Creates a new spring container with default 'main' spring.
    25→
    26→    Usage:
    27→      @\add spring!
    28→
    29→    The spring is automatically named 'spring' and accessible as @spring on the parent.
... [74 more lines]

The file E:\a327ex\Anchor\framework\main.yue has been updated. Here's the result of running `cat -n` on a snippet of the edited file:
     6→W, H = 480, 270
     7→
     8→-- Create camera first (layers will reference it)
     9→an\add camera!
    10→an\add spring!
    11→an.spring\add 'camera_rotation', 0, 0.5, 0.5  -- settles in 0.5s, moderate bounce
    12→
    13→-- Setup layers
    14→game = an\layer 'game'
    15→game_2 = an\layer 'game_2'

The file E:\a327ex\Anchor\framework\main.yue has been updated. Here's the result of running `cat -n` on a snippet of the edited file:
   182→  if key_is_pressed 'p'
   183→    for b in *an\all 'ball'
   184→      b.collider\apply_impulse 200, 0
   185→
   186→  if key_is_pressed 'r'
   187→    an.spring\pull 'camera_rotation', math.pi / 12  -- 15 degrees
   188→
   189→  an.camera.rotation = an.spring.camera_rotation.x
   190→
   191→  camera_speed = 200

10:an\add spring!
11:an.spring\add 'camera_rotation', 0, 0.5, 0.5  -- settles in 0.5s, moderate bounce
113:    @\add spring!
120:    layer\push @x, @y, 0, @spring.main.x, @spring.main.x
160:    @\add spring!
168:    local scale = ball_scale * @spring.main.x
187:    an.spring\pull 'camera_rotation', math.pi / 12  -- 15 degrees
189:  an.camera.rotation = an.spring.camera_rotation.x
211:      block.spring\pull 'main', 0.2
234:      ball.spring\pull 'main', 0.2

The file E:\a327ex\Anchor\framework\main.yue has been updated. Here's the result of running `cat -n` on a snippet of the edited file:
   207→      ball.impulsed = true
   208→      ball.collider\apply_impulse random_float(20, 40), 0
   209→      block.flash = true
   210→      block.timer\after 0.15, 'flash', -> block.flash = false
   211→      block.spring\pull 'main', 0.2, 0.3, 1
   212→
   213→  for event in *an\sensor_begin_events 'ball', 'slowing_zone'
   214→    local ball = event.a
   215→    local vx, vy = ball.collider\get_velocity!

The file E:\a327ex\Anchor\framework\main.yue has been updated. Here's the result of running `cat -n` on a snippet of the edited file:
   230→    local ball = event.a
   231→    if event.approach_speed > 300
   232→      ball.flash = true
   233→      ball.timer\after 0.15, 'flash', -> ball.flash = false
   234→      ball.spring\pull 'main', 0.2, 0.3, 1
   235→
   236→-- Queue draw commands during update
   237→an\late_action 'draw', =>
   238→  -- Draw background

The file E:\a327ex\Anchor\framework\main.yue has been updated. Here's the result of running `cat -n` on a snippet of the edited file:
   176→    spawn_x = left_wall_x + wall_width + ball_radius + 20
   177→    spawn_y = wall_top - ball_radius - 5
   178→    new_ball = ball spawn_x, spawn_y
   179→    an\add new_ball
   180→    -- an.camera\follow new_ball, 0.9, 0.1
   181→
   182→  if key_is_pressed 'p'
   183→    for b in *an\all 'ball'
   184→      b.collider\apply_impulse 200, 0

The file E:\a327ex\Anchor\framework\main.yue has been updated. Here's the result of running `cat -n` on a snippet of the edited file:
   207→      ball.impulsed = true
   208→      ball.collider\apply_impulse random_float(20, 40), 0
   209→      block.flash = true
   210→      block.timer\after 0.15, 'flash', -> block.flash = false
   211→      block.spring\pull 'main', 0.2, 1, 0.8
   212→
   213→  for event in *an\sensor_begin_events 'ball', 'slowing_zone'
   214→    local ball = event.a
   215→    local vx, vy = ball.collider\get_velocity!

The file E:\a327ex\Anchor\framework\main.yue has been updated. Here's the result of running `cat -n` on a snippet of the edited file:
   230→    local ball = event.a
   231→    if event.approach_speed > 300
   232→      ball.flash = true
   233→      ball.timer\after 0.15, 'flash', -> ball.flash = false
   234→      ball.spring\pull 'main', 0.2, 1, 0.8
   235→
   236→-- Queue draw commands during update
   237→an\late_action 'draw', =>
   238→  -- Draw background

The file E:\a327ex\Anchor\framework\main.yue has been updated. Here's the result of running `cat -n` on a snippet of the edited file:
   207→      ball.impulsed = true
   208→      ball.collider\apply_impulse random_float(20, 40), 0
   209→      block.flash = true
   210→      block.timer\after 0.15, 'flash', -> block.flash = false
   211→      block.spring\pull 'main', 0.2, 1, 0.3
   212→
   213→  for event in *an\sensor_begin_events 'ball', 'slowing_zone'
   214→    local ball = event.a
   215→    local vx, vy = ball.collider\get_velocity!

The file E:\a327ex\Anchor\framework\main.yue has been updated. Here's the result of running `cat -n` on a snippet of the edited file:
   230→    local ball = event.a
   231→    if event.approach_speed > 300
   232→      ball.flash = true
   233→      ball.timer\after 0.15, 'flash', -> ball.flash = false
   234→      ball.spring\pull 'main', 0.2, 1, 0.3
   235→
   236→-- Queue draw commands during update
   237→an\late_action 'draw', =>
   238→  -- Draw background

The file E:\a327ex\Anchor\framework\main.yue has been updated. Here's the result of running `cat -n` on a snippet of the edited file:
   207→      ball.impulsed = true
   208→      ball.collider\apply_impulse random_float(20, 40), 0
   209→      block.flash = true
   210→      block.timer\after 0.15, 'flash', -> block.flash = false
   211→      block.spring\pull 'main', 0.2, 0.2, 0.8
   212→
   213→  for event in *an\sensor_begin_events 'ball', 'slowing_zone'
   214→    local ball = event.a
   215→    local vx, vy = ball.collider\get_velocity!

The file E:\a327ex\Anchor\framework\main.yue has been updated. Here's the result of running `cat -n` on a snippet of the edited file:
   230→    local ball = event.a
   231→    if event.approach_speed > 300
   232→      ball.flash = true
   233→      ball.timer\after 0.15, 'flash', -> ball.flash = false
   234→      ball.spring\pull 'main', 0.2, 0.2, 0.8
   235→
   236→-- Queue draw commands during update
   237→an\late_action 'draw', =>
   238→  -- Draw background

The file E:\a327ex\Anchor\framework\anchor\spring.yue has been updated. Here's the result of running `cat -n` on a snippet of the edited file:
    33→    super 'spring'
    34→    @spring_names = {}
    35→    @\add 'main', 1
    36→
    37→  --[[
    38→    Adds a new named spring.
    39→
    40→    Usage:
    41→      @spring\add 'scale', 1                 -- default: 5 Hz, 0.5 bounce
    42→      @spring\add 'rotation', 0, 3, 0.3      -- 3 oscillations/sec, low bounce
    43→      @spring\add 'position', 100, 10, 0.8   -- 10 oscillations/sec, high bounce
    44→
    45→    Parameters:
    46→      name      - string identifier for the spring
    47→      x         - initial value (default 0)
    48→      frequency - oscillations per second (default 5)
    49→      bounce    - bounciness 0-1 (default 0.5, where 0=no overshoot, 1=infinite oscillation)
    50→
    51→    Behavior:
    52→      - Spring is accessible as @spring.name.x
    53→      - Higher frequency = faster oscillation
    54→      - Higher bounce = more overshoot and oscillation
    55→      - bounce=0 is critically damped (smooth, no overshoot)
    56→      - bounce=0.5 has moderate overshoot
    57→      - bounce approaching 1 oscillates forever
    58→
    59→    Returns: nothing
    60→  ]]
    61→  add: (name, x=0, frequency=5, bounce=0.5) =>
... [14 more lines]

The file E:\a327ex\Anchor\framework\anchor\spring.yue has been updated. Here's the result of running `cat -n` on a snippet of the edited file:
    69→      :k
    70→      :d
    71→    }
    72→
    73→  --[[
    74→    Applies an impulse to a named spring.
    75→
    76→    Usage:
    77→      @spring\pull 'main', 0.5              -- add 0.5 to current value
    78→      @spring\pull 'scale', 0.3, 10, 0.7    -- pull with 10 Hz, high bounce
    79→
    80→    Parameters:
    81→      name      - spring identifier
    82→      force     - amount to add to current value
    83→      frequency - (optional) new oscillations per second
    84→      bounce    - (optional) new bounciness 0-1
    85→
    86→    Behavior:
    87→      - Adds force directly to spring's current x value
    88→      - Spring will oscillate around target_x and settle back
    89→      - Optionally updates frequency/bounce for this spring permanently
    90→
    91→    Returns: nothing
    92→  ]]
    93→  pull: (name, force, frequency, bounce) =>
    94→    local spring = @[name]
    95→    return unless spring
    96→    if frequency
    97→      spring.k = (2 * math.pi * frequency)^2
... [6 more lines]

The file E:\a327ex\Anchor\framework\main.yue has been updated. Here's the result of running `cat -n` on a snippet of the edited file:
   207→      ball.impulsed = true
   208→      ball.collider\apply_impulse random_float(20, 40), 0
   209→      block.flash = true
   210→      block.timer\after 0.15, 'flash', -> block.flash = false
   211→      block.spring\pull 'main', 0.2, 5, 0.8
   212→
   213→  for event in *an\sensor_begin_events 'ball', 'slowing_zone'
   214→    local ball = event.a
   215→    local vx, vy = ball.collider\get_velocity!

The file E:\a327ex\Anchor\framework\main.yue has been updated. Here's the result of running `cat -n` on a snippet of the edited file:
   230→    local ball = event.a
   231→    if event.approach_speed > 300
   232→      ball.flash = true
   233→      ball.timer\after 0.15, 'flash', -> ball.flash = false
   234→      ball.spring\pull 'main', 0.2, 5, 0.8
   235→
   236→-- Queue draw commands during update
   237→an\late_action 'draw', =>
   238→  -- Draw background

The file E:\a327ex\Anchor\framework\main.yue has been updated. Here's the result of running `cat -n` on a snippet of the edited file:
     7→
     8→-- Create camera first (layers will reference it)
     9→an\add camera!
    10→an\add spring!
    11→an.spring\add 'camera_rotation', 0, 2, 0.5  -- 2 Hz, moderate bounce
    12→
    13→-- Setup layers
    14→game = an\layer 'game'
    15→game_2 = an\layer 'game_2'

The file E:\a327ex\Anchor\framework\anchor\spring.yue has been updated. Here's the result of running `cat -n` on a snippet of the edited file:
     1→global *
     2→
     3→--[[
     4→  Spring child object for damped spring animations.
     5→
     6→  Usage:
     7→    @\add spring!
     8→    @spring\add 'scale', 1, 5, 0.5      -- 5 Hz, moderate bounce
     9→    @spring\pull 'scale', 0.5
    10→
    11→  Spring is added as a child object. When the parent dies, the spring dies automatically.
    12→  A default 'main' spring at value 1 is created on construction.
    13→
    14→  Springs are accessed directly: @spring.main.x, @spring.scale.x
    15→
    16→  Spring methods:
    17→    add          - Add a named spring with frequency/bounce
    18→    pull         - Apply impulse to a spring
    19→    set_target   - Change resting point
    20→    at_rest      - Check if spring has settled
    21→]]
    22→class spring extends object
    23→  --[[
    24→    Creates a new spring container with default 'main' spring.
    25→

The file E:\a327ex\Anchor\framework\main.yue has been updated. Here's the result of running `cat -n` on a snippet of the edited file:
    16→bg = an\layer 'bg'
    17→shadow = an\layer 'shadow'
    18→game_outline = an\layer 'game_outline'
    19→game_2_outline = an\layer 'game_2_outline'
    20→ui = an\layer 'ui'
    21→ui.camera = nil  -- UI layer stays in screen space
    22→
    23→-- Resources
    24→an\font 'main', 'assets/LanaPixel.ttf', 11
    25→an\image 'ball', 'assets/slight_smile.png'

The user doesn't want to proceed with this tool use. The tool use was rejected (eg. if it was a file edit, the new_string was NOT written to the file). To tell you how to proceed, the user said:
I believe we could make use of the Box2D query functions here instead of this loop?

The file E:\a327ex\Anchor\framework\main.yue has been updated. Here's the result of running `cat -n` on a snippet of the edited file:
   183→  if key_is_pressed 'p'
   184→    for b in *an\all 'ball'
   185→      b.collider\apply_impulse 200, 0
   186→
   187→  if key_is_pressed 'r'
   188→    an.spring\pull 'camera_rotation', math.pi / 12  -- 15 degrees
   189→
   190→  an.camera.rotation = an.spring.camera_rotation.x
   191→
   192→  -- Screen -> world test: click on ball to flash + jiggle
   193→  if mouse_is_pressed 1
   194→    for b in *an\query_point an.camera.mouse.x, an.camera.mouse.y, 'ball'
   195→      b.flash = true
   196→      b.timer\after 0.15, 'flash', -> b.flash = false
   197→      b.spring\pull 'main', 0.2, 5, 0.8
   198→
   199→  camera_speed = 200
   200→  if key_is_down('w') or key_is_down('up')
   201→    an.camera.y -= camera_speed * dt

The file E:\a327ex\Anchor\framework\main.yue has been updated. Here's the result of running `cat -n` on a snippet of the edited file:
   253→  -- Draw impulse blocks to game_2 layer
   254→  for obj in *an\all 'impulse_block'
   255→    obj\draw game_2
   256→
   257→  -- Draw slowing zone to ui layer
   258→  for zone in *an\all 'slowing_zone'
   259→    zone\draw ui
   260→
   261→  -- World -> screen test: draw UI marker above each ball
   262→  for b in *an\all 'ball'
   263→    screen_x, screen_y = an.camera\to_screen b.x, b.y
   264→    ui\circle screen_x, screen_y - 20, 5, red
   265→
   266→-- Global draw function - called by C after update
   267→-- Handles: render source layers, create derived layers, composite to screen
   268→draw = ->

E:\a327ex\Anchor\reference\love-compare\anchor\shake.lua

1→--[[
     2→  This module implements shaking based on https://jonny.morrill.me/en/blog/gamedev-how-to-implement-a-camera-shake-effect/.
     3→  This is a flexible shaking effect that allows for different amplitutes, durations and frequencies.
     4→  The class below implements a shake graph in 1D, which is an array filled with randomized samples that will be used for motion.
     5→]]--
     6→shake_1d = class:class_new()
     7→function shake_1d:shake_1d(amplitude, duration, frequency)
     8→  self.tags.shake_1d = true
     9→  self.amplitude = amplitude or 0
    10→  self.duration = duration or 0
    11→  self.frequency = frequency or 60
    12→
    13→  self.samples = {}
    14→  for i = 1, (self.duration/1000)*self.frequency do self.samples[i] = an:random_float(-1, 1) end
    15→  self.ti = an.time*1000
    16→  self.t = 0
    17→  self.shaking = true
    18→  return self
    19→end
    20→
    21→function shake_1d:shake_get_noise(s)
    22→  return self.samples[s] or 0
    23→end
    24→
    25→function shake_1d:shake_get_decay(t)
    26→  if t >= self.duration then return 0 end
    27→  return (self.duration - t)/self.duration
    28→end
    29→
    30→function shake_1d:shake_get_amplitude(t)
... [133 more lines]

Web search results for query: "Squirrel Eiserloh camera shake trauma GDC "Math for Game Programmers" noise"

Links: [{"title":"Full text of \"GDC 2016: Squirrel Eiserloh - \"Math for Game Programmers: Juicing Your Cameras With Math\"\"","url":"https://archive.org/stream/GDC2016Eiserloh/GDC2016-Eiserloh_djvu.txt"},{"title":"GDC 2016: Squirrel Eiserloh - \"Math for Game Programmers: Juicing Your Cameras With Math\" : Free Download, Borrow, and Streaming : Internet Archive","url":"https://archive.org/details/GDC2016Eiserloh"},{"title":"Math for Game Programmers: Juicing Your Cameras with Math Squirrel Eiserloh","url":"https://gdcvault.com/play/mediaProxy.php?sid=1023146"},{"title":"GDC Vault - Math for Game Programmers: Noise-Based RNG","url":"https://www.gdcvault.com/play/1024365/Math-for-Game-Programmers-Noise"},{"title":"GitHub - IronWarrior/UnityCameraShake: Source code for Camera Shake tutorial for Unity. Generates pseudo-random camera shake using Perlin noise.","url":"https://github.com/IronWarrior/UnityCameraShake"},{"title":"Hacker News Comments on \"Math for Game Programmers: Juicing Your Cameras With Math\" GDC Youtube Video | HN Theater","url":"https://yahnd.com/theater/r/youtube/tu-Qe66AvtY/"},{"title":"GDC Vault - Math for Game Programmers: Juicing Your Cameras With Math","url":"https://gdcvault.com/play/1023146/Math-for-Game-Programmers-Juicing"},{"title":"squirrel3-python/squirrel3.py at master · sublee/squirrel3-python","url":"https://github.com/sublee/squirrel3-python/blob/master/squirrel3.py"},{"title":"GDC 2013: Squirrel Eiserloh - \"Math for Game Programmers: Matrix Transformations\" : Free Download, Borrow, and Streaming : Internet Archive","url":"https://archive.org/details/GDC2013Eiserloh"},{"title":"Math for Game Programmers: Juicing Your Cameras With Math","url":"https://ru-vid.com/video/math-for-game-programmers-juicing-your-cameras-with-math-tu-Qe66AvtY.html"}]

Here are the search results for Squirrel Eiserloh's GDC talk on camera shake, trauma, and noise:

## Main Talk: "Math for Game Programmers: Juicing Your Cameras With Math" (GDC 2016)

In this 2016 GDC session, SMU Guildhall's Squirrel Eiserloh explores the math behind a variety of camera behaviors including framing techniques, types and characteristics of smoothed motion, camera shake, and dynamic split-screen.

### Key Takeaways on Camera Shake

According to the slides from the talk, the main recommendations are:

Camera shake = trauma² (or trauma³). For 2D: use translational + rotational shake. For 3D: rotational only. Tread carefully in VR! Use Perlin noise for shakes and for "like, everything else."

### Additional Concepts Covered

Other techniques discussed include Asymmetric Asymptotic Averaging, blending points of focus & interest, using soft feathering everywhere, considering Voronoi split-screen (N-way split possible, but tricky), and using "juice liberally, yet wisely" with the philosophy that "the camera is a character."

### Resources

- You can download the original PowerPoint slides at www.EssentialMath.com/tutorial.htm, or contact via email (squirrel@eiserloh.net) or Twitter (@SquirrelTweets).
- The GDC Vault description notes that "2D and 3D games alike benefit greatly from the judicious use of in-game cameras and camera motion," and the talk explores "framing techniques, types and characteristics of smoothed motion, camera shake, and dynamic split-screen."

### Related Talk: Noise-Based RNG (GDC 2017)

Squirrel Eiserloh also gave another relevant talk: "Math for Game Programmers: Noise-Based RNG" which discusses that even Mersenne Twister lacks many highly desirable features. The session discusses RNGs vs. noise functions, and shows how the latter can replace the former in your math library and provide benefits like unordered access, better reseeding, record/playback, network loss tolerance, and lock-free parallelization, while being smaller, faster, and easier to use.

### Implementation Example
... [5 more lines]

Web search results for query: "camera shake types techniques games "screen shake" varieties implementations"

Links: [{"title":"Analysis of Screenshake Types - Just Things Made By Dave","url":"http://www.davetech.co.uk/gamedevscreenshake"},{"title":"Screen Shakes | Feel Documentation","url":"https://feel-docs.moremountains.com/screen-shakes.html"},{"title":"jonny.morrill.me: GameDev: How to Implement a “Camera Shake” Effect - Blog","url":"https://jonny.morrill.me/en/blog/gamedev-how-to-implement-a-camera-shake-effect/"},{"title":"Juice It Good: Adding Camera Shake To Your Game | by Antonio Delgado | Medium","url":"https://gt3000.medium.com/juice-it-adding-camera-shake-to-your-game-e63e1a16f0a6"},{"title":"Screen Shake | GameMaker","url":"https://developer.amazon.com/docs/gamemaker/screen-shake.html"},{"title":"Screen Shake - Flowlab Game Creator","url":"https://flowlab.io/game/play/671939"},{"title":"【Godot】Godot Engine Camera2D Practical Techniques: Mastering Smooth Follow, Screen Shake, and Dynamic Zoom | ういやまラボ","url":"https://uhiyama-lab.com/en/notes/godot/camera2d-techniques/"},{"title":"🤖 2D Screen Shake in Godot3 | Peanuts Code","url":"https://www.peanuts-code.com/en/tutorials/gd0014_screen_shake/"},{"title":"Screen Shake Effect - Graphics and GPU Programming - GameDev.net","url":"https://www.gamedev.net/forums/topic/625407-screen-shake-effect/"},{"title":"Camera / Screen Shake","url":"https://bevy.org/examples/camera/2d-screen-shake/"}]

Here's what I found about camera/screen shake types, techniques, and implementations in games:

## Types of Screen Shake

**Camera Position Shake** is one of the most common ways to create a visible shake of what's rendered on screen by simply moving the camera.(no content)**View Shake** doesn't move the camera but moves the entire view, making it feel like the entire screen you're playing on is shaking. Such a shake usually requires rendering to a render texture, which most games do anyway to upscale resolution.(no content)**Post Processing Shake** involves shaking the intensity of effects like lens distortion or chromatic aberration. Other good candidates include vignette, color grading and bloom intensity.(no content)**UI Shake** - instead of shaking the whole screen, it can be a good idea to shake only the UI or parts of it.(no content)**Zooming screen shake** is more common in mobile games and abstract games with solid flat colors. When using this type, things in the corners of the screen move more, and it works well for stunning effects.

## Implementation Techniques

### Trauma-Based System
One of the most effective methods is the trauma value-based approach: Add a "trauma" value between 0.0 and 1.0 each time an impact occurs. Calculate screen shake amount based on the trauma value—higher trauma means larger shakes. The trauma value gradually decays over time.(no content)Human senses are more attuned to exponential changes, so the shake value should be an exponential function of the trauma.

### Random vs. Noise-Based
Random camera movement has become the default way to do screen shake because it's easy to implement and perfectly sufficient.(no content)Two common types are "rough shake" and "smooth shake"—rough shake uses simpler random code.(no content)Smooth shake uses noise images with random distributions of white, gray, and black. The noise value varies from -1 to 1, and specifying pixel coordinates on the noise and getting the noise value creates smoother shaking.(no content)All displacements governed by a noise function guarantee that the shake is smooth and continuous, meaning the camera won't jump around wildly.

### Decay Functions
Having a diminishing strength of screenshake lets you start off very strong but still have it last for a long time after. It has a much stronger initial peak and a longer tail after, but because it fades out it doesn't become exhausting on the eyes.(no content)A decay function smoothly transitions the shaking back to a still screen—it's simply a linear function of t that starts at 1.0 and ends at 0.0 when t = duration.

## Design Considerations

When implementing screenshake, the angle the screen moves is very important and can convey information. If the player is making an attack, the screen should start by moving in that same direction to give the illusion of force transfer. If an enemy attacks, move the camera away from them for more impact.(no content)With various shakes available, associating them to specific types of events helps create a "feedback language." For example, eating ghosts might trigger camera shake while getting killed triggers view shake. Sticking to defined feedback language helps players identify causes and consequences.(no content)When used correctly, screen shake can create engaging game feel with a few simple lines of code, but if used incorrectly can make players feel nauseous or be perceived as annoying and turn off players entirely, so it's best used sparingly.


REMINDER: You MUST include the sources above in your response to the user using markdown hyperlinks.

# Screen Shake Types Analysis

## Movement-Based Shakes

**Random X/Y**
Basic camera jitter in both directions. "Easy to implement and perfectly sufficient," making it the most common default approach.

**Random X/Y Diminishing Magnitude**
Starts intensely then fades gradually. Allows stronger initial impact while remaining comfortable for extended duration without eye strain.

**Random X Diminishing (Horizontal Only)**
Side-to-side motion that fades out. Suits platformers and creates a ground-shaking sensation for heavy impacts.

**X/Y In Out**
Movement in attack direction, then returns. "Can be used to make it feel like a lot of force is behind the attack" and indicates damage direction to players.

**X/Y Out Back**
Camera pushes away from impact point elastically. Described as highly versatile, particularly effective for indicating attack direction and creating a sense of power.

## Rotational Shakes

**Random Rotation**
Camera tilts randomly. Appears "comical" rather than aggressive; works for distant explosions or lighter impacts.

**Rotation Sine Wave**
Smooth rotational oscillation. Better for dizzying effects, less harsh but less impactful than random rotation.

## Scale/Zoom Shakes

**Scale Random**
... [61 more lines]

Found 44 files
reference\camera-systems-research.md
website\context\ENGINE_API_QUICK.md
website\context\ENGINE_API.md
docs\ENGINE_API_QUICK.md
docs\ENGINE_API.md
engine\src\anchor.c
website\logs\anchor-phase-10-part-7.md
engine\build-web\anchor_files.js
website\logs\anchor-phase-10-part-1.md
website\logs\audible-book-recommendations-2.md
website\logs\steam-game-recommendations.md
website\logs\anchor-review-2.md
reference\analysis\anchor-structure-analysis.md
reference\analysis\anchor-review-2-analysis.md
website\logs\anchor-phase-9.md
reference\archives\ANCHOR_IMPLEMENTATION_PLAN.md
test\main.lua
reference\analysis\phase-9-text-analysis.md
website\logs\anchor-phase-8.md
engine\include\stb\stb_perlin.h
reference\analysis\phase-8-random-research.md
website\logs\anchor-phase-6.md
engine\include\miniaudio.h
website\logs\anchor-phase-5.md
website\logs\anchor-phase-4.md
reference\analysis\phase-4-effects-analysis.md
website\logs\anchor-phase-3-part-4.md
reference\analysis\frame-timing-analysis.md
scripts\monitor_sim.c
... [15 more lines]

1410:### noise
1412:`noise(x, y?, z?) -> number`
1414:Returns Perlin noise in [-1, 1].
1417:local n = noise(x * 0.1, y * 0.1)

The user doesn't want to proceed with this tool use. The tool use was rejected (eg. if it was a file edit, the new_string was NOT written to the file). To tell you how to proceed, the user said:
Let's do one functionality at a time.

The user doesn't want to proceed with this tool use. The tool use was rejected (eg. if it was a file edit, the new_string was NOT written to the file). To tell you how to proceed, the user said:
rename add_trauma to trauma

File created successfully at: E:\a327ex\Anchor\framework\anchor\shake.yue

1→global *
     2→
     3→--[[
     4→  Anchor framework initialization.
     5→
     6→  This file:
     7→    1. Requires all framework classes (object, layer, image, font)
     8→    2. Creates the root object 'an' with resource registries
     9→    3. Attaches registration methods to 'an'
    10→    4. Defines the global update() function called by the C engine
    11→
    12→  The 'an' object is the root of the object tree and the central access point
    13→  for all framework resources (layers, images, fonts).
    14→]]
    15→
    16→require 'anchor.object'
    17→require 'anchor.layer'
    18→require 'anchor.image'
    19→require 'anchor.font'
    20→require 'anchor.timer'
    21→require 'anchor.math'
    22→require 'anchor.collider'
    23→require 'anchor.spring'
    24→require 'anchor.camera'
    25→
    26→--[[
    27→  Root object for the framework.
    28→
    29→  All game objects should be children of 'an' (directly or nested).
    30→  Resource registries (layers, images, fonts) live here.
... [609 more lines]

The file E:\a327ex\Anchor\framework\anchor\init.yue has been updated. Here's the result of running `cat -n` on a snippet of the edited file:
    19→require 'anchor.font'
    20→require 'anchor.timer'
    21→require 'anchor.math'
    22→require 'anchor.collider'
    23→require 'anchor.spring'
    24→require 'anchor.camera'
    25→require 'anchor.shake'
    26→
    27→--[[
    28→  Root object for the framework.
    29→

The file E:\a327ex\Anchor\framework\main.yue has been updated. Here's the result of running `cat -n` on a snippet of the edited file:
     4→
     5→-- Screen dimensions (must be before camera)
     6→W, H = 480, 270
     7→
     8→-- Create camera first (layers will reference it)
     9→an\add camera!
    10→an.camera\add shake!
    11→an\add spring!
    12→an.spring\add 'camera_rotation', 0, 2, 0.5  -- 2 Hz, moderate bounce
    13→
    14→-- Setup layers
    15→game = an\layer 'game'
    16→game_2 = an\layer 'game_2'

The file E:\a327ex\Anchor\framework\main.yue has been updated. Here's the result of running `cat -n` on a snippet of the edited file:
   184→  if key_is_pressed 'p'
   185→    for b in *an\all 'ball'
   186→      b.collider\apply_impulse 200, 0
   187→
   188→  if key_is_pressed 'r'
   189→    an.spring\pull 'camera_rotation', math.pi / 12  -- 15 degrees
   190→
   191→  if key_is_pressed 't'
   192→    an.camera.shake\trauma 0.5
   193→
   194→  an.camera.rotation = an.spring.camera_rotation.x
   195→
   196→  -- Screen -> world test: click on ball to flash + jiggle

anchor.c
src/anchor.c(667): warning C4996: 'strncpy': This function or variable may be unsafe. Consider using strncpy_s instead. To disable deprecation, use _CRT_SECURE_NO_WARNINGS. See online help for details.
src/anchor.c(863): warning C4996: 'strncpy': This function or variable may be unsafe. Consider using strncpy_s instead. To disable deprecation, use _CRT_SECURE_NO_WARNINGS. See online help for details.
src/anchor.c(1652): warning C4996: 'strncpy': This function or variable may be unsafe. Consider using strncpy_s instead. To disable deprecation, use _CRT_SECURE_NO_WARNINGS. See online help for details.
src/anchor.c(1646): warning C4267: 'initializing': conversion from 'size_t' to 'int', possible loss of data
src/anchor.c(2038): warning C4996: 'strncpy': This function or variable may be unsafe. Consider using strncpy_s instead. To disable deprecation, use _CRT_SECURE_NO_WARNINGS. See online help for details.
src/anchor.c(2316): warning C4996: 'strncpy': This function or variable may be unsafe. Consider using strncpy_s instead. To disable deprecation, use _CRT_SECURE_NO_WARNINGS. See online help for details.
src/anchor.c(2322): warning C4996: 'strncpy': This function or variable may be unsafe. Consider using strncpy_s instead. To disable deprecation, use _CRT_SECURE_NO_WARNINGS. See online help for details.
src/anchor.c(2432): warning C4996: 'strncpy': This function or variable may be unsafe. Consider using strncpy_s instead. To disable deprecation, use _CRT_SECURE_NO_WARNINGS. See online help for details.
src/anchor.c(2441): warning C4996: 'strncpy': This function or variable may be unsafe. Consider using strncpy_s instead. To disable deprecation, use _CRT_SECURE_NO_WARNINGS. See online help for details.
src/anchor.c(2535): warning C4996: 'strncpy': This function or variable may be unsafe. Consider using strncpy_s instead. To disable deprecation, use _CRT_SECURE_NO_WARNINGS. See online help for details.
src/anchor.c(2537): warning C4996: 'strncpy': This function or variable may be unsafe. Consider using strncpy_s instead. To disable deprecation, use _CRT_SECURE_NO_WARNINGS. See online help for details.
src/anchor.c(3236): warning C4996: 'strdup': The POSIX name for this item is deprecated. Instead, use the ISO C and C++ conformant name: _strdup. See online help for details.
src/anchor.c(3852): warning C4996: 'strncpy': This function or variable may be unsafe. Consider using strncpy_s instead. To disable deprecation, use _CRT_SECURE_NO_WARNINGS. See online help for details.
gl.c
Generating Code...
LINK : warning LNK4098: defaultlib 'MSVCRT' conflicts with use of other libs; use /NODEFAULTLIB:library
Build successful: build/anchor.exe
Copied to emoji-ball-battles/tools/

The file E:\a327ex\Anchor\framework\anchor\shake.yue has been updated. Here's the result of running `cat -n` on a snippet of the edited file:
     1→global *
     2→
     3→--[[
     4→  Shake child object for camera shake effects.
     5→
     6→  Usage:
     7→    an.camera\add shake!
     8→    an.camera.shake\trauma 0.5
     9→
    10→  Shake is added as a child of camera. It implements get_transform() which
    11→  camera calls to collect effects from all children.
    12→
    13→  Shake types:
    14→    trauma - Perlin noise based, accumulates and decays
    15→]]
    16→class shake extends object
    17→  --[[
    18→    Creates a new shake container.
    19→
    20→    Usage:
    21→      an.camera\add shake!
    22→
    23→    Behavior:
    24→      - Automatically named 'shake' and accessible as parent.shake
    25→      - Initializes trauma system
    26→  ]]
    27→  new: =>
    28→    super 'shake'
    29→    -- Trauma system (Perlin noise based)
... [76 more lines]

anchor.c
src/anchor.c(667): warning C4996: 'strncpy': This function or variable may be unsafe. Consider using strncpy_s instead. To disable deprecation, use _CRT_SECURE_NO_WARNINGS. See online help for details.
src/anchor.c(863): warning C4996: 'strncpy': This function or variable may be unsafe. Consider using strncpy_s instead. To disable deprecation, use _CRT_SECURE_NO_WARNINGS. See online help for details.
src/anchor.c(1652): warning C4996: 'strncpy': This function or variable may be unsafe. Consider using strncpy_s instead. To disable deprecation, use _CRT_SECURE_NO_WARNINGS. See online help for details.
src/anchor.c(1646): warning C4267: 'initializing': conversion from 'size_t' to 'int', possible loss of data
src/anchor.c(2038): warning C4996: 'strncpy': This function or variable may be unsafe. Consider using strncpy_s instead. To disable deprecation, use _CRT_SECURE_NO_WARNINGS. See online help for details.
src/anchor.c(2316): warning C4996: 'strncpy': This function or variable may be unsafe. Consider using strncpy_s instead. To disable deprecation, use _CRT_SECURE_NO_WARNINGS. See online help for details.
src/anchor.c(2322): warning C4996: 'strncpy': This function or variable may be unsafe. Consider using strncpy_s instead. To disable deprecation, use _CRT_SECURE_NO_WARNINGS. See online help for details.
src/anchor.c(2432): warning C4996: 'strncpy': This function or variable may be unsafe. Consider using strncpy_s instead. To disable deprecation, use _CRT_SECURE_NO_WARNINGS. See online help for details.
src/anchor.c(2441): warning C4996: 'strncpy': This function or variable may be unsafe. Consider using strncpy_s instead. To disable deprecation, use _CRT_SECURE_NO_WARNINGS. See online help for details.
src/anchor.c(2535): warning C4996: 'strncpy': This function or variable may be unsafe. Consider using strncpy_s instead. To disable deprecation, use _CRT_SECURE_NO_WARNINGS. See online help for details.
src/anchor.c(2537): warning C4996: 'strncpy': This function or variable may be unsafe. Consider using strncpy_s instead. To disable deprecation, use _CRT_SECURE_NO_WARNINGS. See online help for details.
src/anchor.c(3236): warning C4996: 'strdup': The POSIX name for this item is deprecated. Instead, use the ISO C and C++ conformant name: _strdup. See online help for details.
src/anchor.c(3852): warning C4996: 'strncpy': This function or variable may be unsafe. Consider using strncpy_s instead. To disable deprecation, use _CRT_SECURE_NO_WARNINGS. See online help for details.
gl.c
Generating Code...
LINK : warning LNK4098: defaultlib 'MSVCRT' conflicts with use of other libs; use /NODEFAULTLIB:library
Build successful: build/anchor.exe
Copied to emoji-ball-battles/tools/

The file E:\a327ex\Anchor\framework\anchor\shake.yue has been updated. Here's the result of running `cat -n` on a snippet of the edited file:
    28→    super 'shake'
    29→    -- Trauma system (Perlin noise based)
    30→    @trauma_value = 0
    31→    @trauma_decay = 2  -- trauma units per second
    32→    @trauma_amplitude = {x: 24, y: 24, rotation: 0.1, zoom: 0.05}
    33→    @trauma_time = 0  -- offset for Perlin noise
    34→
    35→  --[[
    36→    Adds trauma which produces Perlin noise shake.

The file E:\a327ex\Anchor\framework\anchor\shake.yue has been updated. Here's the result of running `cat -n` on a snippet of the edited file:
    28→    super 'shake'
    29→    -- Trauma system (Perlin noise based)
    30→    @trauma_value = 0
    31→    @trauma_decay = 2  -- trauma units per second
    32→    @trauma_amplitude = {x: 48, y: 48, rotation: 0.2, zoom: 0.1}
    33→    @trauma_time = 0  -- offset for Perlin noise
    34→
    35→  --[[
    36→    Adds trauma which produces Perlin noise shake.

The file E:\a327ex\Anchor\framework\main.yue has been updated. Here's the result of running `cat -n` on a snippet of the edited file:
   187→
   188→  if key_is_pressed 'r'
   189→    an.spring\pull 'camera_rotation', math.pi / 12  -- 15 degrees
   190→
   191→  if key_is_pressed 't'
   192→    an.camera.shake\trauma 1
   193→
   194→  an.camera.rotation = an.spring.camera_rotation.x
   195→
   196→  -- Screen -> world test: click on ball to flash + jiggle

The file E:\a327ex\Anchor\framework\anchor\shake.yue has been updated. Here's the result of running `cat -n` on a snippet of the edited file:
     1→global *
     2→
     3→--[[
     4→  Shake child object for camera shake effects.
     5→
     6→  Usage:
     7→    an.camera\add shake!
     8→    an.camera.shake\trauma 0.5, 0.3
     9→
    10→  Shake is added as a child of camera. It implements get_transform() which
    11→  camera calls to collect effects from all children.
    12→
    13→  Shake types:
    14→    trauma - Perlin noise based, accumulates and decays
    15→]]
    16→class shake extends object
    17→  --[[
    18→    Creates a new shake container.
    19→
    20→    Usage:
    21→      an.camera\add shake!
    22→
    23→    Behavior:
    24→      - Automatically named 'shake' and accessible as parent.shake
    25→      - Initializes trauma system
    26→  ]]
    27→  new: =>
    28→    super 'shake'
    29→    @trauma_instances = {}
... [87 more lines]

The file E:\a327ex\Anchor\framework\main.yue has been updated. Here's the result of running `cat -n` on a snippet of the edited file:
   187→
   188→  if key_is_pressed 'r'
   189→    an.spring\pull 'camera_rotation', math.pi / 12  -- 15 degrees
   190→
   191→  if key_is_pressed 't'
   192→    an.camera.shake\trauma 1, 0.5
   193→
   194→  an.camera.rotation = an.spring.camera_rotation.x
   195→
   196→  -- Screen -> world test: click on ball to flash + jiggle

The file E:\a327ex\Anchor\framework\main.yue has been updated. Here's the result of running `cat -n` on a snippet of the edited file:
   188→  if key_is_pressed 'r'
   189→    an.spring\pull 'camera_rotation', math.pi / 12  -- 15 degrees
   190→
   191→  if key_is_pressed 't'
   192→    an.camera.shake\trauma 1, 1
   193→
   194→  an.camera.rotation = an.spring.camera_rotation.x
   195→
   196→  -- Screen -> world test: click on ball to flash + jiggle

The user doesn't want to proceed with this tool use. The tool use was rejected (eg. if it was a file edit, the new_string was NOT written to the file). To tell you how to proceed, the user said:
if this one is directional does it need rotation?

The user doesn't want to proceed with this tool use. The tool use was rejected (eg. if it was a file edit, the new_string was NOT written to the file). To tell you how to proceed, the user said:
I meant skip rotation and zoom

The file E:\a327ex\Anchor\framework\anchor\shake.yue has been updated. Here's the result of running `cat -n` on a snippet of the edited file:
    23→    Behavior:
    24→      - Automatically named 'shake' and accessible as parent.shake
    25→      - Initializes trauma system
    26→  ]]
    27→  new: =>
    28→    super 'shake'
    29→    @trauma_instances = {}
    30→    @trauma_amplitude = {x: 24, y: 24, rotation: 0.2, zoom: 0.2}
    31→    @trauma_time = 0  -- offset for Perlin noise
    32→
    33→    -- Springs for spring-based shakes
    34→    @\add spring!
    35→    @spring\add 'x', 0, 5, 0.5
    36→    @spring\add 'y', 0, 5, 0.5
    37→
    38→  --[[
    39→    Adds trauma which produces Perlin noise shake.
    40→

The file E:\a327ex\Anchor\framework\anchor\shake.yue has been updated. Here's the result of running `cat -n` on a snippet of the edited file:
    71→    Behavior:
    72→      - Configure once during setup
    73→      - Affects all subsequent trauma calls
    74→  ]]
    75→  set_trauma_parameters: (amplitude) =>
    76→    @trauma_amplitude.x = amplitude.x if amplitude.x
    77→    @trauma_amplitude.y = amplitude.y if amplitude.y
    78→    @trauma_amplitude.rotation = amplitude.rotation if amplitude.rotation
    79→    @trauma_amplitude.zoom = amplitude.zoom if amplitude.zoom
    80→
    81→  --[[
    82→    Applies a directional spring impulse.
    83→
    84→    Usage:
    85→      shake\spring 0, 20                 -- rightward impulse (angle 0)
    86→      shake\spring math.pi, 15           -- leftward impulse
    87→      shake\spring math.pi/2, 10, 8, 0.7 -- downward with custom frequency/bounce
    88→
    89→    Parameters:
    90→      angle     - direction in radians (0 = right, pi/2 = down)
    91→      amount    - impulse strength in pixels
    92→      frequency - (optional) oscillation frequency (default 5)
    93→      bounce    - (optional) bounciness 0-1 (default 0.5)
    94→
    95→    Behavior:
    96→      - Applies impulse in the specified direction
    97→      - Spring oscillates and settles naturally
    98→      - Multiple calls combine additively
    99→  ]]
... [7 more lines]

The file E:\a327ex\Anchor\framework\anchor\shake.yue has been updated. Here's the result of running `cat -n` on a snippet of the edited file:
   115→    total_trauma = 0
   116→    for instance in *@trauma_instances
   117→      total_trauma += instance.value
   118→
   119→    -- Trauma effect (Perlin noise)
   120→    if total_trauma > 0
   121→      intensity = total_trauma * total_trauma  -- quadratic falloff
   122→      ox += intensity * @trauma_amplitude.x * noise(@trauma_time * 10, 0)
   123→      oy += intensity * @trauma_amplitude.y * noise(0, @trauma_time * 10)
   124→      rotation += intensity * @trauma_amplitude.rotation * noise(@trauma_time * 10, @trauma_time * 10)
   125→      zoom += intensity * @trauma_amplitude.zoom * noise(@trauma_time * 5, 0, @trauma_time * 5)
   126→
   127→    -- Spring contribution (offset from rest position)
   128→    ox += @spring.x.x
   129→    oy += @spring.y.x
   130→
   131→    {x: ox, y: oy, :rotation, :zoom}
   132→
   133→  --[[
   134→    Internal: updates shake effects each frame.
   135→

The file E:\a327ex\Anchor\framework\main.yue has been updated. Here's the result of running `cat -n` on a snippet of the edited file:
   187→
   188→  if key_is_pressed 'r'
   189→    an.spring\pull 'camera_rotation', math.pi / 12  -- 15 degrees
   190→
   191→  if key_is_pressed 't'
   192→    an.camera.shake\trauma 1, 1
   193→
   194→  if key_is_pressed 'y'
   195→    an.camera.shake\spring random_float(0, 2 * math.pi), 20
   196→
   197→  an.camera.rotation = an.spring.camera_rotation.x
   198→
   199→  -- Screen -> world test: click on ball to flash + jiggle

1→global *
     2→
     3→--[[
     4→  Shake child object for camera shake effects.
     5→
     6→  Usage:
     7→    an.camera\add shake!
     8→    an.camera.shake\trauma 0.5, 0.3
     9→
    10→  Shake is added as a child of camera. It implements get_transform() which
    11→  camera calls to collect effects from all children.
    12→
    13→  Shake types:
    14→    trauma - Perlin noise based, accumulates and decays
    15→]]
    16→class shake extends object
    17→  --[[
    18→    Creates a new shake container.
    19→
    20→    Usage:
    21→      an.camera\add shake!
    22→
    23→    Behavior:
    24→      - Automatically named 'shake' and accessible as parent.shake
    25→      - Initializes trauma system
    26→  ]]
    27→  new: =>
    28→    super 'shake'
    29→    @trauma_instances = {}
    30→    @trauma_amplitude = {x: 24, y: 24, rotation: 0.2, zoom: 0.2}
... [10 more lines]

1→global *
     2→
     3→class object
     4→  --[[
     5→    Creates a new object with optional name.
     6→
     7→    Usage:
     8→      obj = object!           -- anonymous object
     9→      obj = object 'player'   -- named object
    10→
    11→    Properties initialized:
    12→      @name     - string or nil, used for bidirectional links
    13→      @parent   - reference to parent object, nil if root
    14→      @children - array of child objects
    15→      @dead     - boolean, true when killed (removed at end of frame)
    16→      @tags     - set of tags, used for querying with all(tag) and is()
    17→  ]]
    18→  new: (name) =>
    19→    @name = name
    20→    @parent = nil
    21→    @children = {}
    22→    @dead = false
    23→    @tags = {}
    24→
    25→  --[[
    26→    Adds a child to this object's tree.
    27→
    28→    Usage:
    29→      @\add child
    30→      @\add(object 'timer')\add(object 'collider')  -- chainable
... [50 more lines]

1→do
     2→
     3→local _class_0;local _base_0 = { add = function(self, child)do local _obj_0 = 
     4→
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... [475 more lines]

The file E:\a327ex\Anchor\framework\anchor\shake.yue has been updated. Here's the result of running `cat -n` on a snippet of the edited file:
    77→    @trauma_amplitude.y = amplitude.y if amplitude.y
    78→    @trauma_amplitude.rotation = amplitude.rotation if amplitude.rotation
    79→    @trauma_amplitude.zoom = amplitude.zoom if amplitude.zoom
    80→
    81→  --[[
    82→    Applies a directional spring impulse.
    83→
    84→    Usage:
    85→      shake\push 0, 20                 -- rightward impulse (angle 0)
    86→      shake\push math.pi, 15           -- leftward impulse
    87→      shake\push math.pi/2, 10, 8, 0.7 -- downward with custom frequency/bounce
    88→
    89→    Parameters:
    90→      angle     - direction in radians (0 = right, pi/2 = down)
    91→      amount    - impulse strength in pixels
    92→      frequency - (optional) oscillation frequency (default 5)
    93→      bounce    - (optional) bounciness 0-1 (default 0.5)
    94→
    95→    Behavior:
    96→      - Applies impulse in the specified direction
    97→      - Spring oscillates and settles naturally
    98→      - Multiple calls combine additively
    99→  ]]
   100→  push: (angle, amount, frequency, bounce) =>
   101→    @spring\pull 'x', math.cos(angle) * amount, frequency, bounce
   102→    @spring\pull 'y', math.sin(angle) * amount, frequency, bounce
   103→
   104→  --[[
   105→    Internal: returns current transform offset for camera.
... [1 more lines]

The file E:\a327ex\Anchor\framework\main.yue has been updated. Here's the result of running `cat -n` on a snippet of the edited file:
   190→
   191→  if key_is_pressed 't'
   192→    an.camera.shake\trauma 1, 1
   193→
   194→  if key_is_pressed 'y'
   195→    an.camera.shake\push random_float(0, 2 * math.pi), 20
   196→
   197→  an.camera.rotation = an.spring.camera_rotation.x
   198→
   199→  -- Screen -> world test: click on ball to flash + jiggle

The file E:\a327ex\Anchor\framework\anchor\shake.yue has been updated. Here's the result of running `cat -n` on a snippet of the edited file:
    31→    @trauma_time = 0  -- offset for Perlin noise
    32→
    33→    -- Springs for spring-based shakes
    34→    @\add spring!
    35→    @spring\add 'x', 0, 3, 0.5
    36→    @spring\add 'y', 0, 3, 0.5
    37→
    38→  --[[
    39→    Adds trauma which produces Perlin noise shake.
    40→

The user doesn't want to proceed with this tool use. The tool use was rejected (eg. if it was a file edit, the new_string was NOT written to the file). To tell you how to proceed, the user said:
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The file E:\a327ex\Anchor\framework\anchor\shake.yue has been updated. Here's the result of running `cat -n` on a snippet of the edited file:
    77→    @trauma_amplitude.y = amplitude.y if amplitude.y
    78→    @trauma_amplitude.rotation = amplitude.rotation if amplitude.rotation
    79→    @trauma_amplitude.zoom = amplitude.zoom if amplitude.zoom
    80→
    81→  --[[
    82→    Adds a random shake with decay.
    83→
    84→    Usage:
    85→      shake\shake 10, 0.3        -- amplitude, duration
    86→      shake\shake 20, 0.5, 30    -- with slower jitter rate (30 changes/sec)
    87→
    88→    Parameters:
    89→      amplitude - maximum displacement in pixels
    90→      duration  - time in seconds for shake to decay to zero
    91→      frequency - (optional) how many times per second to pick new random offset (default 60)
    92→
    93→    Behavior:
    94→      - Random displacement each frame (jittery/chaotic)
    95→      - Amplitude decays linearly over duration
    96→      - Multiple calls create independent instances
    97→  ]]
    98→  shake: (amplitude, duration, frequency=60) =>
    99→    @shake_instances = {} unless @shake_instances
   100→    @shake_instances[] = {
   101→      :amplitude
   102→      :duration
   103→      :frequency
   104→      time: 0
   105→      current_x: 0
... [10 more lines]

The file E:\a327ex\Anchor\framework\anchor\shake.yue has been updated. Here's the result of running `cat -n` on a snippet of the edited file:
   152→      oy += intensity * @trauma_amplitude.y * noise(0, @trauma_time * 10)
   153→      rotation += intensity * @trauma_amplitude.rotation * noise(@trauma_time * 10, @trauma_time * 10)
   154→      zoom += intensity * @trauma_amplitude.zoom * noise(@trauma_time * 5, 0, @trauma_time * 5)
   155→
   156→    -- Spring contribution (offset from rest position)
   157→    ox += @spring.x.x
   158→    oy += @spring.y.x
   159→
   160→    -- Shake instances contribution
   161→    if @shake_instances
   162→      for instance in *@shake_instances
   163→        ox += instance.current_x
   164→        oy += instance.current_y
   165→
   166→    {x: ox, y: oy, :rotation, :zoom}
   167→
   168→  --[[
   169→    Internal: updates shake effects each frame.
   170→

The file E:\a327ex\Anchor\framework\anchor\shake.yue has been updated. Here's the result of running `cat -n` on a snippet of the edited file:
   169→    Internal: updates shake effects each frame.
   170→
   171→    Called automatically during early_update phase.
   172→  ]]
   173→  early_update: (dt) =>
   174→    -- Decay trauma instances independently, remove when depleted (iterate backwards)
   175→    for i = #@trauma_instances, 1, -1
   176→      instance = @trauma_instances[i]
   177→      instance.value -= instance.decay * dt
   178→      if instance.value <= 0
   179→        table.remove @trauma_instances, i
   180→
   181→    if #@trauma_instances > 0
   182→      @trauma_time += dt
   183→
   184→    -- Update shake instances
   185→    if @shake_instances
   186→      for i = #@shake_instances, 1, -1
   187→        instance = @shake_instances[i]
   188→        instance.time += dt
   189→
   190→        -- Check if it's time to pick new random values
   191→        change_interval = 1 / instance.frequency
   192→        if instance.time - instance.last_change >= change_interval
   193→          instance.last_change = instance.time
   194→          decay = 1 - (instance.time / instance.duration)
   195→          if decay > 0
   196→            instance.current_x = decay * instance.amplitude * random_float(-1, 1)
   197→            instance.current_y = decay * instance.amplitude * random_float(-1, 1)
... [8 more lines]

The file E:\a327ex\Anchor\framework\main.yue has been updated. Here's the result of running `cat -n` on a snippet of the edited file:
   190→
   191→  if key_is_pressed 't'
   192→    an.camera.shake\trauma 1, 1
   193→
   194→  if key_is_pressed 'y'
   195→    an.camera.shake\push random_float(0, 2 * math.pi), 20
   196→
   197→  if key_is_pressed 'u'
   198→    an.camera.shake\shake 15, 0.5
   199→
   200→  an.camera.rotation = an.spring.camera_rotation.x
   201→
   202→  -- Screen -> world test: click on ball to flash + jiggle

The file E:\a327ex\Anchor\framework\anchor\shake.yue has been updated. Here's the result of running `cat -n` on a snippet of the edited file:
   106→      current_y: 0
   107→      last_change: 0
   108→    }
   109→
   110→  --[[
   111→    Applies a directional spring impulse.
   112→
   113→    Usage:
   114→      shake\push 0, 20                 -- rightward impulse (angle 0)
   115→      shake\push math.pi, 15           -- leftward impulse
   116→      shake\push math.pi/2, 10, 8, 0.7 -- downward with custom frequency/bounce
   117→
   118→    Parameters:
   119→      angle     - direction in radians (0 = right, pi/2 = down)
   120→      amount    - impulse strength in pixels
   121→      frequency - (optional) oscillation frequency (default 5)
   122→      bounce    - (optional) bounciness 0-1 (default 0.5)
   123→
   124→    Behavior:
   125→      - Applies impulse in the specified direction
   126→      - Spring oscillates and settles naturally
   127→      - Multiple calls combine additively
   128→  ]]
   129→  push: (angle, amount, frequency, bounce) =>
   130→    @spring\pull 'x', math.cos(angle) * amount, frequency, bounce
   131→    @spring\pull 'y', math.sin(angle) * amount, frequency, bounce
   132→
   133→  --[[
   134→    Applies a sharp in-out kick.
... [27 more lines]

The file E:\a327ex\Anchor\framework\anchor\shake.yue has been updated. Here's the result of running `cat -n` on a snippet of the edited file:
   182→    -- Spring contribution (offset from rest position)
   183→    ox += @spring.x.x
   184→    oy += @spring.y.x
   185→
   186→    -- Shake instances contribution
   187→    if @shake_instances
   188→      for instance in *@shake_instances
   189→        ox += instance.current_x
   190→        oy += instance.current_y
   191→
   192→    -- Kick instances contribution
   193→    if @kick_instances
   194→      for instance in *@kick_instances
   195→        t = instance.time / instance.duration
   196→        -- Quick out, smooth back: use sine curve that peaks at t=0.25
   197→        intensity = math.sin(t * math.pi)
   198→        ox += intensity * instance.amount * math.cos(instance.angle)
   199→        oy += intensity * instance.amount * math.sin(instance.angle)
   200→
   201→    {x: ox, y: oy, :rotation, :zoom}
   202→
   203→  --[[
   204→    Internal: updates shake effects each frame.
   205→

The file E:\a327ex\Anchor\framework\anchor\shake.yue has been updated. Here's the result of running `cat -n` on a snippet of the edited file:
   233→          else
   234→            instance.current_x = 0
   235→            instance.current_y = 0
   236→
   237→        -- Remove when done
   238→        if instance.time >= instance.duration
   239→          table.remove @shake_instances, i
   240→
   241→    -- Update kick instances
   242→    if @kick_instances
   243→      for i = #@kick_instances, 1, -1
   244→        instance = @kick_instances[i]
   245→        instance.time += dt
   246→        if instance.time >= instance.duration
   247→          table.remove @kick_instances, i
   248→

The file E:\a327ex\Anchor\framework\main.yue has been updated. Here's the result of running `cat -n` on a snippet of the edited file:
   193→
   194→  if key_is_pressed 'y'
   195→    an.camera.shake\push random_float(0, 2 * math.pi), 20
   196→
   197→  if key_is_pressed 'u'
   198→    an.camera.shake\shake 15, 0.5
   199→
   200→  if key_is_pressed 'i'
   201→    an.camera.shake\kick random_float(0, 2 * math.pi), 20, 0.15
   202→
   203→  an.camera.rotation = an.spring.camera_rotation.x
   204→
   205→  -- Screen -> world test: click on ball to flash + jiggle

The file E:\a327ex\Anchor\framework\anchor\shake.yue has been updated. Here's the result of running `cat -n` on a snippet of the edited file:
   129→  push: (angle, amount, frequency, bounce) =>
   130→    @spring\pull 'x', math.cos(angle) * amount, frequency, bounce
   131→    @spring\pull 'y', math.sin(angle) * amount, frequency, bounce
   132→
   133→  --[[
   134→    Internal: returns current transform offset for camera.
   135→
   136→    Called by camera\get_effects to collect all child effects.
   137→
   138→    Returns: {x, y, rotation, zoom} offsets

The file E:\a327ex\Anchor\framework\anchor\shake.yue has been updated. Here's the result of running `cat -n` on a snippet of the edited file:
   156→    -- Spring contribution (offset from rest position)
   157→    ox += @spring.x.x
   158→    oy += @spring.y.x
   159→
   160→    -- Shake instances contribution
   161→    if @shake_instances
   162→      for instance in *@shake_instances
   163→        ox += instance.current_x
   164→        oy += instance.current_y
   165→
   166→    {x: ox, y: oy, :rotation, :zoom}
   167→
   168→  --[[
   169→    Internal: updates shake effects each frame.
   170→

The file E:\a327ex\Anchor\framework\anchor\shake.yue has been updated. Here's the result of running `cat -n` on a snippet of the edited file:
   198→          else
   199→            instance.current_x = 0
   200→            instance.current_y = 0
   201→
   202→        -- Remove when done
   203→        if instance.time >= instance.duration
   204→          table.remove @shake_instances, i
   205→

The file E:\a327ex\Anchor\framework\main.yue has been updated. Here's the result of running `cat -n` on a snippet of the edited file:
   193→
   194→  if key_is_pressed 'y'
   195→    an.camera.shake\push random_float(0, 2 * math.pi), 20
   196→
   197→  if key_is_pressed 'u'
   198→    an.camera.shake\shake 15, 0.5
   199→
   200→  an.camera.rotation = an.spring.camera_rotation.x
   201→
   202→  -- Screen -> world test: click on ball to flash + jiggle

The file E:\a327ex\Anchor\framework\anchor\shake.yue has been updated. Here's the result of running `cat -n` on a snippet of the edited file:
   125→      - Applies impulse in the specified direction
   126→      - Spring oscillates and settles naturally
   127→      - Multiple calls combine additively
   128→  ]]
   129→  push: (angle, amount, frequency, bounce) =>
   130→    @spring\pull 'x', math.cos(angle) * amount, frequency, bounce
   131→    @spring\pull 'y', math.sin(angle) * amount, frequency, bounce
   132→
   133→  --[[
   134→    Applies a sine wave oscillation.
   135→
   136→    Usage:
   137→      shake\sine 0, 10, 5, 0.5        -- rightward, 10 pixels, 5 Hz, 0.5 seconds
   138→      shake\sine math.pi/2, 8, 3, 1   -- downward oscillation
   139→
   140→    Parameters:
   141→      angle     - direction in radians (0 = right, pi/2 = down)
   142→      amplitude - maximum displacement in pixels
   143→      frequency - oscillations per second
   144→      duration  - time until oscillation stops
   145→
   146→    Behavior:
   147→      - Smooth sinusoidal oscillation along direction
   148→      - Amplitude decays linearly over duration
   149→      - Multiple calls create independent instances
   150→  ]]
   151→  sine: (angle, amplitude, frequency, duration) =>
   152→    @sine_instances = {} unless @sine_instances
   153→    @sine_instances[] = {
... [41 more lines]

The file E:\a327ex\Anchor\framework\anchor\shake.yue has been updated. Here's the result of running `cat -n` on a snippet of the edited file:
   212→    -- Spring contribution (offset from rest position)
   213→    ox += @spring.x.x
   214→    oy += @spring.y.x
   215→
   216→    -- Shake instances contribution
   217→    if @shake_instances
   218→      for instance in *@shake_instances
   219→        ox += instance.current_x
   220→        oy += instance.current_y
   221→
   222→    -- Sine instances contribution
   223→    if @sine_instances
   224→      for instance in *@sine_instances
   225→        decay = 1 - (instance.time / instance.duration)
   226→        wave = math.sin(instance.time * instance.frequency * 2 * math.pi)
   227→        offset = decay * instance.amplitude * wave
   228→        ox += offset * math.cos(instance.angle)
   229→        oy += offset * math.sin(instance.angle)
   230→
   231→    -- Square instances contribution
   232→    if @square_instances
   233→      for instance in *@square_instances
   234→        decay = 1 - (instance.time / instance.duration)
   235→        wave = math.sin(instance.time * instance.frequency * 2 * math.pi) > 0 and 1 or -1
   236→        offset = decay * instance.amplitude * wave
   237→        ox += offset * math.cos(instance.angle)
   238→        oy += offset * math.sin(instance.angle)
   239→
   240→    {x: ox, y: oy, :rotation, :zoom}
... [4 more lines]

The file E:\a327ex\Anchor\framework\anchor\shake.yue has been updated. Here's the result of running `cat -n` on a snippet of the edited file:
   272→          else
   273→            instance.current_x = 0
   274→            instance.current_y = 0
   275→
   276→        -- Remove when done
   277→        if instance.time >= instance.duration
   278→          table.remove @shake_instances, i
   279→
   280→    -- Update sine instances
   281→    if @sine_instances
   282→      for i = #@sine_instances, 1, -1
   283→        instance = @sine_instances[i]
   284→        instance.time += dt
   285→        if instance.time >= instance.duration
   286→          table.remove @sine_instances, i
   287→
   288→    -- Update square instances
   289→    if @square_instances
   290→      for i = #@square_instances, 1, -1
   291→        instance = @square_instances[i]
   292→        instance.time += dt
   293→        if instance.time >= instance.duration
   294→          table.remove @square_instances, i
   295→

The file E:\a327ex\Anchor\framework\main.yue has been updated. Here's the result of running `cat -n` on a snippet of the edited file:
   193→
   194→  if key_is_pressed 'y'
   195→    an.camera.shake\push random_float(0, 2 * math.pi), 20
   196→
   197→  if key_is_pressed 'u'
   198→    an.camera.shake\shake 15, 0.5
   199→
   200→  if key_is_pressed 'i'
   201→    an.camera.shake\sine 0, 15, 8, 0.5
   202→
   203→  if key_is_pressed 'o'
   204→    an.camera.shake\square 0, 15, 8, 0.5
   205→
   206→  an.camera.rotation = an.spring.camera_rotation.x
   207→
   208→  -- Screen -> world test: click on ball to flash + jiggle

The file E:\a327ex\Anchor\framework\main.yue has been updated. Here's the result of running `cat -n` on a snippet of the edited file:
   196→
   197→  if key_is_pressed 'u'
   198→    an.camera.shake\shake 15, 0.5
   199→
   200→  if key_is_pressed 'i'
   201→    an.camera.shake\sine random_float(0, 2 * math.pi), 15, 8, 0.5
   202→
   203→  if key_is_pressed 'o'
   204→    an.camera.shake\square random_float(0, 2 * math.pi), 15, 8, 0.5
   205→
   206→  an.camera.rotation = an.spring.camera_rotation.x
   207→
   208→  -- Screen -> world test: click on ball to flash + jiggle

The file E:\a327ex\Anchor\framework\anchor\shake.yue has been updated. Here's the result of running `cat -n` on a snippet of the edited file:
    23→    Behavior:
    24→      - Automatically named 'shake' and accessible as parent.shake
    25→      - Initializes trauma system
    26→  ]]
    27→  new: =>
    28→    super 'shake'
    29→    @trauma_instances = {}
    30→    @trauma_amplitude = {x: 24, y: 24, rotation: 0.2, zoom: 0.2}
    31→    @trauma_time = 0  -- offset for Perlin noise
    32→
    33→    -- Springs for spring-based shakes
    34→    @\add spring!
    35→    @spring\add 'x', 0, 3, 0.5
    36→    @spring\add 'y', 0, 3, 0.5
    37→
    38→    -- Handcam (continuous subtle motion)
    39→    @handcam_enabled = false
    40→    @handcam_amplitude = {x: 2, y: 2, rotation: 0.01}
    41→    @handcam_frequency = 1
    42→    @handcam_time = 0
    43→
    44→  --[[
    45→    Adds trauma which produces Perlin noise shake.
    46→

The file E:\a327ex\Anchor\framework\anchor\shake.yue has been updated. Here's the result of running `cat -n` on a snippet of the edited file:
   181→      - Sharp alternating displacement (snaps between +/- amplitude)
   182→      - Amplitude decays linearly over duration
   183→      - Multiple calls create independent instances
   184→  ]]
   185→  square: (angle, amplitude, frequency, duration) =>
   186→    @square_instances = {} unless @square_instances
   187→    @square_instances[] = {
   188→      :angle
   189→      :amplitude
   190→      :frequency
   191→      :duration
   192→      time: 0
   193→    }
   194→
   195→  --[[
   196→    Enables or disables handcam effect (continuous subtle motion).
   197→
   198→    Usage:
   199→      shake\handcam true                          -- enable with defaults
   200→      shake\handcam true, {x: 3, y: 3, rotation: 0.02}, 0.5  -- custom amplitude, frequency
   201→      shake\handcam false                         -- disable
   202→
   203→    Parameters:
   204→      enabled   - true to enable, false to disable
   205→      amplitude - (optional) table with {x, y, rotation} amplitudes
   206→      frequency - (optional) noise frequency multiplier (default 1, higher = faster)
   207→
   208→    Behavior:
   209→      - Adds subtle continuous Perlin noise motion
... [17 more lines]

The file E:\a327ex\Anchor\framework\anchor\shake.yue has been updated. Here's the result of running `cat -n` on a snippet of the edited file:
   224→    Called by camera\get_effects to collect all child effects.
   225→
   226→    Returns: {x, y, rotation, zoom} offsets
   227→  ]]
   228→  get_transform: =>
   229→    ox, oy, rotation, zoom = 0, 0, 0, 0
   230→
   231→    -- Handcam effect (continuous subtle motion)
   232→    if @handcam_enabled
   233→      t = @handcam_time * @handcam_frequency
   234→      ox += @handcam_amplitude.x * noise(t, 0)
   235→      oy += @handcam_amplitude.y * noise(0, t)
   236→      rotation += @handcam_amplitude.rotation * noise(t, t)
   237→
   238→    -- Sum all active trauma instances
   239→    total_trauma = 0
   240→    for instance in *@trauma_instances
   241→      total_trauma += instance.value
   242→
   243→    -- Trauma effect (Perlin noise)
   244→    if total_trauma > 0
   245→      intensity = total_trauma * total_trauma  -- quadratic falloff
   246→      ox += intensity * @trauma_amplitude.x * noise(@trauma_time * 10, 0)
   247→      oy += intensity * @trauma_amplitude.y * noise(0, @trauma_time * 10)
   248→      rotation += intensity * @trauma_amplitude.rotation * noise(@trauma_time * 10, @trauma_time * 10)

The file E:\a327ex\Anchor\framework\anchor\shake.yue has been updated. Here's the result of running `cat -n` on a snippet of the edited file:
   282→    Internal: updates shake effects each frame.
   283→
   284→    Called automatically during early_update phase.
   285→  ]]
   286→  early_update: (dt) =>
   287→    -- Update handcam time
   288→    if @handcam_enabled
   289→      @handcam_time += dt
   290→
   291→    -- Decay trauma instances independently, remove when depleted (iterate backwards)
   292→    for i = #@trauma_instances, 1, -1
   293→      instance = @trauma_instances[i]
   294→      instance.value -= instance.decay * dt
   295→      if instance.value <= 0
   296→        table.remove @trauma_instances, i

The file E:\a327ex\Anchor\framework\main.yue has been updated. Here's the result of running `cat -n` on a snippet of the edited file:
   199→
   200→  if key_is_pressed 'i'
   201→    an.camera.shake\sine random_float(0, 2 * math.pi), 15, 8, 0.5
   202→
   203→  if key_is_pressed 'o'
   204→    an.camera.shake\square random_float(0, 2 * math.pi), 15, 8, 0.5
   205→
   206→  if key_is_pressed 'h'
   207→    an.camera.shake\handcam not an.camera.shake.handcam_enabled
   208→
   209→  an.camera.rotation = an.spring.camera_rotation.x
   210→
   211→  -- Screen -> world test: click on ball to flash + jiggle

1→-- handcam.lua
     2→-- A reusable camera effect for Anchor
     3→-- Require this file after anchor is initialized to add the effect
     4→
     5→-- Create the handcam object and add to 'an'
     6→return function(drift_amount, drift_speed, rotation_amount, zoom_amount)
     7→  an:add(object('handcam'):build(function(self)
     8→    --[[
     9→      HANDCAM CAMERA SYSTEM
    10→      This implements a realistic handheld camera effect using smooth perlin noise and a trauma-based intensity system for dynamic camera reactions.
    11→
    12→      The system creates organic camera movement through:
    13→      1. Continuous smooth drift using perlin noise
    14→      2. Force-based positional offsets with springy return-to-center
    15→      3. Trauma system for dramatic camera shake moments
    16→      4. Compositional transform system for multiple effects
    17→
    18→      Usage:
    19→        require('handcam')(5, 0.4, 0.05, 0.03) -- Customized parameters
    20→        or
    21→        require('handcam')() -- Default parameters
    22→
    23→      To add custom transform sources:
    24→        an.handcam:set_transform_source('my_effect', {
    25→          offset_x = 10,  -- Optional
    26→          offset_y = 5,   -- Optional
    27→          rotation = 0.1, -- Optional
    28→          zoom = 0.05     -- Optional
    29→        })
    30→
... [175 more lines]

The file E:\a327ex\Anchor\framework\anchor\shake.yue has been updated. Here's the result of running `cat -n` on a snippet of the edited file:
    34→    @\add spring!
    35→    @spring\add 'x', 0, 3, 0.5
    36→    @spring\add 'y', 0, 3, 0.5
    37→
    38→    -- Handcam (continuous subtle motion)
    39→    @handcam_enabled = false
    40→    @handcam_amplitude = {x: 5, y: 5, rotation: 0.02, zoom: 0.02}
    41→    @handcam_frequency = 0.5
    42→    @handcam_time = 0
    43→
    44→  --[[
    45→    Adds trauma which produces Perlin noise shake.
    46→

The file E:\a327ex\Anchor\framework\anchor\shake.yue has been updated. Here's the result of running `cat -n` on a snippet of the edited file:
   209→      - Adds subtle continuous Perlin noise motion
   210→      - Simulates handheld camera feel
   211→      - Runs constantly while enabled (doesn't decay)
   212→  ]]
   213→  handcam: (enabled, amplitude, frequency) =>
   214→    @handcam_enabled = enabled
   215→    if amplitude
   216→      @handcam_amplitude.x = amplitude.x if amplitude.x
   217→      @handcam_amplitude.y = amplitude.y if amplitude.y
   218→      @handcam_amplitude.rotation = amplitude.rotation if amplitude.rotation
   219→      @handcam_amplitude.zoom = amplitude.zoom if amplitude.zoom
   220→    @handcam_frequency = frequency if frequency
   221→
   222→  --[[
   223→    Internal: returns current transform offset for camera.
   224→

The file E:\a327ex\Anchor\framework\anchor\shake.yue has been updated. Here's the result of running `cat -n` on a snippet of the edited file:
   228→  ]]
   229→  get_transform: =>
   230→    ox, oy, rotation, zoom = 0, 0, 0, 0
   231→
   232→    -- Handcam effect (continuous subtle motion)
   233→    if @handcam_enabled
   234→      t = @handcam_time * @handcam_frequency
   235→      ox += @handcam_amplitude.x * noise(t, 0)
   236→      oy += @handcam_amplitude.y * noise(0, t)
   237→      rotation += @handcam_amplitude.rotation * noise(t, t)
   238→      zoom += @handcam_amplitude.zoom * noise(t * 0.7, 0, t)
   239→
   240→    -- Sum all active trauma instances
   241→    total_trauma = 0
   242→    for instance in *@trauma_instances

The file E:\a327ex\Anchor\framework\anchor\shake.yue has been updated. Here's the result of running `cat -n` on a snippet of the edited file:
    36→    @spring\add 'y', 0, 3, 0.5
    37→
    38→    -- Handcam (continuous subtle motion)
    39→    @handcam_enabled = false
    40→    @handcam_amplitude = {x: 5, y: 5, rotation: 0.1, zoom: 0.1}
    41→    @handcam_frequency = 0.7
    42→    @handcam_time = 0
    43→
    44→  --[[
    45→    Adds trauma which produces Perlin noise shake.

The file E:\a327ex\Anchor\framework\anchor\shake.yue has been updated. Here's the result of running `cat -n` on a snippet of the edited file:
    36→    @spring\add 'y', 0, 3, 0.5
    37→
    38→    -- Handcam (continuous subtle motion)
    39→    @handcam_enabled = false
    40→    @handcam_amplitude = {x: 5, y: 5, rotation: 0.02, zoom: 0.02}
    41→    @handcam_frequency = 0.5
    42→    @handcam_time = 0
    43→
    44→  --[[
    45→    Adds trauma which produces Perlin noise shake.

860→  ball.collider\set_velocity 0, 0
   861→```
   862→
   863→This behavior is documented in the [YueScript source code](https://github.com/pigpigyyy/Yuescript) - variable assignments check if the name exists in outer scopes and update the existing variable rather than creating a new local.
   864→
   865→---
   866→
   867→## What's Next
   868→
   869→Implementation order for remaining Phase 10 work:
   870→
   871→| Category | Items | Status |
   872→|----------|-------|--------|
   873→| **Pure utilities** | math (lerp, easing) | Done |
   874→| **Pure utilities** | array, string | Not started |
   875→| **Value objects** | color | Not started |
   876→| **Resource manager** | sounds, music on `an` | Not started |
   877→| **Child objects** | timer | Done |
   878→| **Child objects** | collider | Done |
   879→| **Child objects** | spring | Done |
   880→| **Child objects** | random, input, camera, animation, shake | Not started |
   881→| **Physics** | Spatial queries on `an` (query_point, query_circle, raycast, etc.) | Done |
   882→| **External libs** | Integrate lua-geo2d for collision utilities | Not started |
   883→

The file E:\a327ex\Anchor\docs\PHASE_10_PROGRESS.md has been updated. Here's the result of running `cat -n` on a snippet of the edited file:
   861→```
   862→
   863→This behavior is documented in the [YueScript source code](https://github.com/pigpigyyy/Yuescript) - variable assignments check if the name exists in outer scopes and update the existing variable rather than creating a new local.
   864→
   865→---
   866→
   867→## Camera Module
   868→
   869→The `camera` class is a child object that provides viewport control with position, zoom, rotation, and effects.
   870→
   871→### Design Decisions
   872→
   873→1. **Child object pattern** — Camera is added to `an` and layers reference it via `layer.camera`
   874→2. **Effect composition** — Camera collects transform offsets from child objects implementing `get_transform()`
   875→3. **Coordinate conversion** — `to_world` and `to_screen` methods for mouse picking and UI positioning
   876→4. **Follow with lead** — Camera can follow a target with optional velocity-based lead
   877→5. **Bounds clamping** — Optional camera bounds to constrain movement
   878→
   879→### API Reference
   880→
   881→```yuescript
   882→an\add camera!                           -- Add camera (uses global W, H)
   883→an.camera.x, an.camera.y = 100, 200      -- Set position
   884→an.camera.zoom = 2                       -- Set zoom
   885→an.camera.rotation = math.pi / 4         -- Set rotation
   886→
   887→an.camera\follow player                  -- Follow target
   888→an.camera\follow player, 0.9, 0.5        -- Follow with lerp (90% distance in 0.5s)
   889→an.camera\follow player, 0.9, 0.5, 0.1   -- Follow with lead (look ahead based on velocity)
... [165 more lines]

/c/Users/adn/.claude/projects/E--a327ex-Anchor/a76b7b1e-d54e-4043-84ec-8064e4af48a3.jsonl