EBB Ball Bouncing Mechanics

E:\a327ex\emoji-ball-battles\docs\EMOJI_BALL_BATTLES_DESIGN.md
E:\a327ex\emoji-ball-battles\docs\ENGINE_WANTS.md
E:\a327ex\emoji-ball-battles\docs\FRAMEWORK_API.md
E:\a327ex\emoji-ball-battles\docs\FRAMEWORK_API_QUICK.md
E:\a327ex\emoji-ball-battles\docs\IMPLEMENTATION_PLAN.md
E:\a327ex\emoji-ball-battles\docs\ITEMS_CLASS_DESIGN.md

1→# Emoji Ball Battles: Game Design Document
     2→
     3→## Overview
     4→
     5→Emoji Ball Battles is a **physics auto-battler roguelite** where emoji balls equipped with items fight each other in gravity-driven arenas. The player doesn't control the balls directly — combat is a physics simulation that plays out automatically. The game lives in the tension between watching chaotic physics unfold and the strategic decisions that shape each fight.
     6→
     7→Each run begins with a **draft phase** where the player picks 24 items from a series of diminishing pools (8→6→4→2 items shown, always picking 2). From those 24, they build a **bench** of 12 items: 8 in fixed slots and 4 in limited slots. Before each fight, the player sees their opponent and selects 4 items from their bench to equip — but only 1 limited item can be active at a time, making limited slots situational tech rather than core build pieces.
     8→
     9→Items **evolve through use**. When equipped items are used in a winning fight, they gain XP toward evolution. Each item has multiple evolution branches, and the player chooses which path to follow at special events. This creates a central tension: do you use your already-evolved items that might be suboptimal for this matchup, or equip weaker items that counter the opponent but need training? Between fights, various events offer lateral power gains — merging items, buying player abilities, choosing evolution paths, gambling on performance.
    10→
    11→**Note:** All mentions of gold (🪙) as a resource throughout this document are temporary placeholders. The actual economy and resource types will be defined through playtesting.
    12→
    13→---
    14→
    15→## Inspiration
    16→
    17→The physics ball battles are directly inspired by [Earclacks](https://www.earclacks.com/), a content creator known for satisfying physics simulation videos. The community calls these "Weapon Ball" battles — balls equipped with various weapons (swords, spears, daggers, lances) that bounce around an arena and damage each other through physics collisions. The appeal is watching the physics unfold: unpredictable bounces, weapon clashes, and the tension of HP bars draining. Earclacks' videos range from 1v1 duels to battle royales and raid boss fights, demonstrating how the format scales. The mesmerizing quality of these simulations — where you want to watch "just one more fight" — is the target feeling for Emoji Ball Battles.
    18→
    19→---
    20→
    21→## Combat System
    22→
    23→Combat takes place in a rectangular **arena** with solid walls. Gravity pulls balls downward, causing them to arc and fall rather than drift in straight lines. When balls hit walls, they bounce — momentum is preserved and transferred through collisions. The arena is a closed system; balls cannot escape, and fights continue until one ball is destroyed.
    24→
    25→**Arena properties:**
    26→- Rectangular bounds with solid walls
    27→- Gravity enabled (balls arc and fall)
    28→- Box2D physics simulation
    29→- Wall bounces preserve momentum
    30→
... [736 more lines]

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1→require 'lun.object'
     2→
     3→function init()
     4→  lun:engine_start('super emoji box', 640, 360, 2.5, 2.5, 'twitter_emoji', 'rough', true)
     5→  lun:input_bind_all()
     6→
     7→  back = object():layer()
     8→  back_2 = object():layer()
     9→  shadow = object():layer()
    10→  game = object():layer()
    11→  game_2 = object():layer()
    12→  front = object():layer()
    13→  front_2 = object():layer()
    14→  effects = object():layer()
    15→  effects_2 = object():layer()
    16→  ui_back = object():layer()
    17→  ui = object():layer()
    18→  ui_2 = object():layer()
    19→  back_2:layer_add_canvas('outline')
    20→  game:layer_add_canvas('outline')
    21→  game_2:layer_add_canvas('outline')
    22→  front:layer_add_canvas('outline')
    23→  front_2:layer_add_canvas('outline')
    24→  effects:layer_add_canvas('outline')
    25→  effects_2:layer_add_canvas('outline')
    26→  front:layer_add_canvas('outline')
    27→  ui:layer_add_canvas('outline')
    28→  ui_2:layer_add_canvas('outline')
    29→
    30→  lun:input_bind('left', {'key:left', 'key:a', 'axis:leftx-', 'button:dpleft'})
... [1065 more lines]

E:\a327ex\emoji-ball-battles\reference\super emoji box\lun\collider.lua:59:    self:collider_draw(game, lun.colors.white[0])    -> draws the collider as a white filled shape
E:\a327ex\emoji-ball-battles\reference\super emoji box\lun\collider.lua:60:    self:collider_draw(game, lun.colors.white[0], 2) -> draws the collider as a white unfilled shape with line width of 2
E:\a327ex\emoji-ball-battles\reference\super emoji box\lun\collider.lua:63:  local color = color or lun.colors.white[0]
E:\a327ex\emoji-ball-battles\reference\super emoji box\lun\grid.lua:28:    local error_1 = v .. " has unmatched colors. "
E:\a327ex\emoji-ball-battles\reference\super emoji box\lun\grid.lua:70:    grid:grid_draw(game, lun.w/2, lun.h/2, 24, 24, lun.colors.white[0], 1)
E:\a327ex\emoji-ball-battles\reference\super emoji box\lun\joint.lua:22:  local color = color or lun.colors.white[0]
E:\a327ex\emoji-ball-battles\reference\super emoji box\lun\layer.lua:179:    game:circle(50, 50, 10, lun.colors.white[0])
E:\a327ex\emoji-ball-battles\reference\super emoji box\lun\layer.lua:240:  local color = color or lun.colors.white[0]
E:\a327ex\emoji-ball-battles\reference\super emoji box\lun\layer.lua:314:    game:arrow(x, y, 10, lun.colors.white[0])       -> draws a filled white arrow on the center of the screen
E:\a327ex\emoji-ball-battles\reference\super emoji box\lun\layer.lua:315:    game:arrow(x, y, 10, lun.colors.white[0], 1)    -> draws an unfilled white arrow on the center of the screen
E:\a327ex\emoji-ball-battles\reference\super emoji box\lun\layer.lua:317:    game:arrow(x, y, 10, lun.colors.white[0])
E:\a327ex\emoji-ball-battles\reference\super emoji box\lun\layer.lua:332:    game:circle(x, y, 10, lun.colors.white[0])     -> draws a filled white circle at the center of the screen
E:\a327ex\emoji-ball-battles\reference\super emoji box\lun\layer.lua:333:    game:circle(x, y, 10, lun.colors.white[0], 1)  -> draws an unfilled white circle at the center of the screen
E:\a327ex\emoji-ball-battles\reference\super emoji box\lun\layer.lua:492:    game:rectangle(x, y, 50, 50, 0, 0, lun.colors.white[0])    -> draws a white filled rectangle on the center of the screen
E:\a327ex\emoji-ball-battles\reference\super emoji box\lun\layer.lua:493:    game:rectangle(x, y, 50, 50, 5, 5, lun.colors.white[0])    -> same as above but with rounded corners of radius 5
E:\a327ex\emoji-ball-battles\reference\super emoji box\lun\layer.lua:494:    game:rectangle(x, y, 50, 50, 5, 5, lun.colors.white[0], 2) -> same as above but not filled and with line width of 2
E:\a327ex\emoji-ball-battles\reference\super emoji box\lun\lun.lua:401:  love.graphics.setBackgroundColor(unpack(self.colors.bg:color_to_table()))
E:\a327ex\emoji-ball-battles\reference\super emoji box\lun\lun.lua:402:  love.graphics.setColor(unpack(self.colors.fg:color_to_table()))
E:\a327ex\emoji-ball-battles\reference\super emoji box\lun\object.lua:36:    function player:update(dt) layer:circle(self.x, self.y, 8, lun.colors.fg[0]) end
E:\a327ex\emoji-ball-battles\reference\super emoji box\lun\object.lua:51:        layer:circle(self.x, self.y, 8, lun.colors.fg[0])
E:\a327ex\emoji-ball-battles\reference\super emoji box\lun\object.lua:498:    game:draw(lun.images.image, self.x, self.y, 0, 1, 1, 0, 0, lun.colors.white[0], self.flashing and lun.shaders.combine)
E:\a327ex\emoji-ball-battles\reference\super emoji box\lun\text.lua:40:    object():text(game, '[this text is red](color=lun.colors.red[0]), [this text is shaking](shake=4,4),
E:\a327ex\emoji-ball-battles\reference\super emoji box\lun\text.lua:41:                         [this text is red and shaking](color=lun.colors.red[0];shake=4,4), this text is normal', {
E:\a327ex\emoji-ball-battles\reference\super emoji box\lun\text.lua:322:    self.text_layer:set_color(lun.colors.white[0])
E:\a327ex\emoji-ball-battles\reference\super emoji box\lun\text.lua:345:    self.text_layer:set_color(lun.colors.white[0])

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1→global *
     2→
     3→require 'anchor'
     4→
     5→-- Screen dimensions
     6→W, H = 480, 270
     7→
     8→-- Create layer
     9→game = an\layer 'game'
    10→
    11→-- Colors
    12→bg_color = color 30, 30, 40
    13→white = color 255, 255, 255
    14→red = color 255, 100, 100
    15→
    16→-- Test that framework loads
    17→print "=== Emoji Ball Battles ==="
    18→print "  an.width = #{an.width}"
    19→print "  an.height = #{an.height}"
    20→print "  an.platform = #{an.platform}"
    21→print "Press ESC to quit"
    22→
    23→-- Quit on escape
    24→an\action =>
    25→  if an\key_is_pressed 'escape'
    26→    os.exit!
    27→
    28→-- Draw a simple test scene
    29→an\late_action 'draw', =>
    30→  game\rectangle 0, 0, W, H, bg_color!
... [8 more lines]

1→# Framework API Quick Reference
     2→
     3→Function signatures for YueScript framework classes. See `FRAMEWORK_API.md` for detailed documentation with examples.
     4→
     5→## Root Object (an)
     6→
     7→### Resource Registration
     8→```
     9→an\layer(name) -> layer
    10→an\image(name, path) -> image
    11→an\font(name, path, size)
    12→an\shader(name, path) -> shader
    13→an\sound(name, path) -> sound_handle
    14→an\music(name, path) -> music_handle
    15→```
    16→
    17→### Audio
    18→```
    19→an\sound_play(name, volume?, pitch?)
    20→an\music_play(name, loop?, channel?)
    21→an\music_stop(channel?)
    22→an\music_crossfade(name, duration, channel?)
    23→an\playlist_set(tracks)
    24→an\playlist_play()
    25→an\playlist_stop()
    26→an\playlist_next()
    27→an\playlist_prev()
    28→an\playlist_shuffle(enabled)
    29→an\playlist_set_crossfade(duration)
    30→an\playlist_current_track() -> string
... [70 more lines]

1→global *
     2→
     3→--[[
     4→  Mutable color with RGB and HSL access.
     5→
     6→  Usage:
     7→    red = color 255, 0, 0
     8→    red.r = 200              -- modify in place
     9→    red.l = 0.8              -- set lightness, recomputes RGB
    10→    layer\circle x, y, r, red!  -- get packed value
    11→
    12→  Color is a standalone class (not a child object).
    13→  All properties (r, g, b, a, h, s, l) are readable and writable.
    14→  RGB and HSL stay synchronized automatically.
    15→
    16→  Properties:
    17→    r, g, b  - RGB components (0-255)
    18→    a        - alpha (0-255)
    19→    h        - hue (0-360)
    20→    s        - saturation (0-1)
    21→    l        - lightness (0-1)
    22→
    23→  Operators (mutate in place, return self):
    24→    color * number     - multiply RGB by scalar
    25→    color * color      - multiply RGB component-wise
    26→    color / number     - divide RGB by scalar
    27→    color + number     - add to all RGB
    28→    color + color      - add RGB component-wise
    29→    color - number     - subtract from all RGB
    30→    color - color      - subtract RGB component-wise
... [321 more lines]

The file E:\a327ex\emoji-ball-battles\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→-- Twitter emoji color palette
     6→white = color 255, 255, 255
     7→black = color 0, 0, 0
     8→gray = color 128, 128, 128
     9→bg = color 48, 49, 50
    10→fg = color 231, 232, 233
    11→fg_dark = color 201, 202, 203
    12→yellow = color 253, 205, 86
    13→orange = color 244, 146, 0
    14→blue = color 83, 175, 239
    15→green = color 122, 179, 87
    16→red = color 223, 37, 64
    17→purple = color 172, 144, 216
    18→brown = color 195, 105, 77
    19→

1→global *
     2→
     3→require 'anchor'
     4→
     5→-- =============================================================================
     6→-- ENGINE STATE TESTS
     7→-- =============================================================================
     8→print "=== ENGINE STATE TESTS ==="
     9→print "Static values (set at init):"
    10→print "  an.width = #{an.width}"
    11→print "  an.height = #{an.height}"
    12→print "  an.dt = #{an.dt}"
    13→print "  an.platform = #{an.platform}"
    14→
    15→-- =============================================================================
    16→-- COLOR TESTS (Phase 1: Basic creation, RGB, packed value)
    17→-- =============================================================================
    18→print "=== COLOR TESTS ==="
    19→
    20→-- Test 1: Creation with defaults
    21→c1 = color!
    22→print "Test 1 - Default color: r=#{c1.r} g=#{c1.g} b=#{c1.b} a=#{c1.a}"
    23→print "  Expected: r=255 g=255 b=255 a=255"
    24→
    25→-- Test 2: Creation with RGB
    26→c2 = color 255, 0, 0
    27→print "Test 2 - Red color: r=#{c2.r} g=#{c2.g} b=#{c2.b} a=#{c2.a}"
    28→print "  Expected: r=255 g=0 b=0 a=255"
    29→
    30→-- Test 3: Creation with RGBA
... [800 more lines]

No files found

E:/a327ex/Anchor/framework/shaders\shadow.frag
E:/a327ex/Anchor/framework/shaders\outline.frag

1→// Outline shader - samples neighbors to detect alpha edges
     2→// Outputs black where any neighbor has alpha, creating silhouette outline
     3→in vec2 TexCoord;
     4→out vec4 FragColor;
     5→uniform sampler2D u_texture;
     6→uniform vec2 u_pixel_size;
     7→
     8→void main() {
     9→    // Sample center pixel
    10→    vec4 center = texture(u_texture, TexCoord);
    11→
    12→    // Sample 24 neighbors in 5x5 grid (excluding center)
    13→    float x = u_pixel_size.x;
    14→    float y = u_pixel_size.y;
    15→
    16→    float a = 0.0;
    17→    // Row -2
    18→    a += texture(u_texture, TexCoord + vec2(-2.0*x, -2.0*y)).a;
    19→    a += texture(u_texture, TexCoord + vec2(-1.0*x, -2.0*y)).a;
    20→    a += texture(u_texture, TexCoord + vec2( 0.0,   -2.0*y)).a;
    21→    a += texture(u_texture, TexCoord + vec2( 1.0*x, -2.0*y)).a;
    22→    a += texture(u_texture, TexCoord + vec2( 2.0*x, -2.0*y)).a;
    23→    // Row -1
    24→    a += texture(u_texture, TexCoord + vec2(-2.0*x, -1.0*y)).a;
    25→    a += texture(u_texture, TexCoord + vec2(-1.0*x, -1.0*y)).a;
    26→    a += texture(u_texture, TexCoord + vec2( 0.0,   -1.0*y)).a;
    27→    a += texture(u_texture, TexCoord + vec2( 1.0*x, -1.0*y)).a;
    28→    a += texture(u_texture, TexCoord + vec2( 2.0*x, -1.0*y)).a;
    29→    // Row 0 (skip center)
    30→    a += texture(u_texture, TexCoord + vec2(-2.0*x,  0.0)).a;
... [25 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:
add the shaders under the assets/ folder too, just as flat files there, not under a subfolder

File created successfully at: E:\a327ex\emoji-ball-battles\assets\outline.frag

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 do it as an action instead and unnamed

The file E:\a327ex\emoji-ball-battles\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
     6→W, H = 480, 270
     7→
     8→-- Twitter emoji color palette
     9→white = color 255, 255, 255
    10→black = color 0, 0, 0
    11→gray = color 128, 128, 128
    12→bg = color 48, 49, 50
    13→fg = color 231, 232, 233
    14→fg_dark = color 201, 202, 203
    15→yellow = color 253, 205, 86
    16→orange = color 244, 146, 0
    17→blue = color 83, 175, 239
    18→green = color 122, 179, 87
    19→red = color 223, 37, 64
    20→purple = color 172, 144, 216
    21→brown = color 195, 105, 77
    22→
    23→-- Layers
    24→back = an\layer 'back'
    25→game = an\layer 'game'
    26→shadow = an\layer 'shadow'
    27→outline = an\layer 'outline'
    28→
    29→-- Shaders
... [25 more lines]

1→global *
     2→
     3→require 'anchor'
     4→
     5→-- Screen dimensions
     6→W, H = 480, 270
     7→
     8→-- Twitter emoji color palette
     9→white = color 255, 255, 255
    10→black = color 0, 0, 0
    11→gray = color 128, 128, 128
    12→bg = color 48, 49, 50
    13→fg = color 231, 232, 233
    14→fg_dark = color 201, 202, 203
    15→yellow = color 253, 205, 86
    16→orange = color 244, 146, 0
    17→blue = color 83, 175, 239
    18→green = color 122, 179, 87
    19→red = color 223, 37, 64
    20→purple = color 172, 144, 216
    21→brown = color 195, 105, 77
    22→
    23→-- Layers
    24→back = an\layer 'back'
    25→game = an\layer 'game'
    26→shadow = an\layer 'shadow'
    27→outline = an\layer 'outline'
    28→
    29→-- Shaders
    30→an\shader 'shadow', 'assets/shadow.frag'
... [24 more lines]

File created successfully at: E:\a327ex\emoji-ball-battles\reference\basic-emoji-anchor-game.md

1→global *
     2→
     3→require('anchor')
     4→  width: 480
     5→  height: 270
     6→  scale: 3
     7→
     8→-- Game dimensions
     9→gw, gh = an.width, an.height
    10→
    11→-- Twitter emoji color palette
    12→white = color 255, 255, 255
    13→black = color 0, 0, 0
    14→gray = color 128, 128, 128
    15→bg = color 48, 49, 50
    16→fg = color 231, 232, 233
    17→fg_dark = color 201, 202, 203
    18→yellow = color 253, 205, 86
    19→orange = color 244, 146, 0
    20→blue = color 83, 175, 239
    21→green = color 122, 179, 87
    22→red = color 223, 37, 64
    23→purple = color 172, 144, 216
    24→brown = color 195, 105, 77
    25→
    26→-- Layers
    27→back = an\layer 'back'
    28→game = an\layer 'game'
    29→shadow = an\layer 'shadow'
    30→outline = an\layer 'outline'
... [27 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:
all this should be inside an "arena" object, since in the future we'll want to change from draft to arena to shop, etc.

The file E:\a327ex\emoji-ball-battles\main.yue has been updated successfully.

The file E:\a327ex\emoji-ball-battles\main.yue has been updated successfully.

1→global *
     2→
     3→require('anchor')
     4→  width: 480
     5→  height: 270
     6→  scale: 3
     7→
     8→-- Game dimensions
     9→gw, gh = an.width, an.height
    10→
    11→-- Twitter emoji color palette
    12→white = color 255, 255, 255
    13→black = color 0, 0, 0
    14→gray = color 128, 128, 128
    15→bg = color 48, 49, 50
    16→fg = color 231, 232, 233
    17→fg_dark = color 201, 202, 203
    18→yellow = color 253, 205, 86
    19→orange = color 244, 146, 0
    20→blue = color 83, 175, 239
    21→green = color 122, 179, 87
    22→red = color 223, 37, 64
    23→purple = color 172, 144, 216
    24→brown = color 195, 105, 77
    25→
    26→-- Layers
    27→back = an\layer 'back'
    28→game = an\layer 'game'
    29→shadow = an\layer 'shadow'
    30→outline = an\layer 'outline'
... [60 more lines]

The file E:\a327ex\emoji-ball-battles\main.yue has been updated successfully.

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:
this is a small fix, fix it now, but first tell me about what the issue is exactly and your proposed solutions.

165→      layer\circle x, y, r, red!
   166→      layer\rectangle 0, 0, w, h, my_color!
   167→
   168→    Returns: packed RGBA integer
   169→  ]]
   170→  __call: =>
   171→    rgba @data.r, @data.g, @data.b, @data.a
   172→
   173→  --[[
   174→    Multiply RGB by scalar or another color's RGB.
   175→
   176→    Usage:
   177→      red = red * 0.5           -- darken by half
   178→      result = color1 * color2  -- component-wise multiply
   179→

The file E:\a327ex\emoji-ball-battles\anchor\color.yue has been updated successfully.

1→# Emoji Ball Battles - Implementation Plan
     2→
     3→## Philosophy
     4→
     5→This plan follows the **beginning/end/constraint** framework:
     6→
     7→1. **Beginning**: Get the moment-to-moment combat working
     8→2. **End**: Validate power fantasies by implementing actual classes/weapons/items and testing broken builds
     9→3. **Middle**: Only then build the meta loop (draft, evolution, etc.) — planned after Phase 2 findings
    10→
    11→---
    12→
    13→## Architecture Principles
    14→
    15→### Single File
    16→
    17→The entire codebase lives in `main.yue`. No separate modules, no `game/` or `data/` folders.
    18→
    19→```
    20→emoji-ball-battles/
    21→├── main.yue           -- everything
    22→├── anchor/            -- framework classes
    23→├── assets/
    24→│   ├── emoji/         -- emoji sprites (later)
    25→│   └── sounds/        -- sound effects (later)
    26→└── reference/
    27→    └── implementation-plan.md
    28→```
    29→
    30→### Locality
... [385 more lines]

The file E:\a327ex\emoji-ball-battles\docs\IMPLEMENTATION_PLAN.md has been updated successfully.

591:ball_radius = 10
592:ball_scale = ball_radius * 2 / an.images.ball.width
604:    @\add collider 'ball', 'dynamic', 'circle', ball_radius
611:    local scale = ball_scale * @spring.main.x
669:    spawn_x = left_wall_x + wall_width + ball_radius + 20
670:    spawn_y = wall_top - ball_radius - 5

E:/a327ex/Anchor/reference/love-compare\anchor\external\sort.lua
E:/a327ex/Anchor/reference/love-compare\anchor\external\profile.lua
E:/a327ex/Anchor/reference/love-compare\anchor\external\utf8.lua
E:/a327ex/Anchor/reference/love-compare\anchor\external\mlib.lua
E:/a327ex/Anchor/reference/love-compare\tools\build_for_windows.lua
E:/a327ex/Anchor/reference/love-compare\anchor\string.lua
E:/a327ex/Anchor/reference/love-compare\anchor\spring.lua
E:/a327ex/Anchor/reference/love-compare\anchor\stats.lua
E:/a327ex/Anchor/reference/love-compare\anchor\shake.lua
E:/a327ex/Anchor/reference/love-compare\anchor\class.lua
E:/a327ex/Anchor/reference/love-compare\anchor\timer.lua
E:/a327ex/Anchor/reference/love-compare\anchor\camera.lua
E:/a327ex/Anchor/reference/love-compare\anchor\music_player.lua
E:/a327ex/Anchor/reference/love-compare\anchor\sound.lua
E:/a327ex/Anchor/reference/love-compare\anchor\random.lua
E:/a327ex/Anchor/reference/love-compare\anchor\collision.lua
E:/a327ex/Anchor/reference/love-compare\anchor\mouse_hover.lua
E:/a327ex/Anchor/reference/love-compare\anchor\grid.lua
E:/a327ex/Anchor/reference/love-compare\anchor\physics_world.lua
E:/a327ex/Anchor/reference/love-compare\anchor\joint.lua
E:/a327ex/Anchor/reference/love-compare\anchor\color.lua
E:/a327ex/Anchor/reference/love-compare\anchor\array.lua
E:/a327ex/Anchor/reference/love-compare\anchor\animation.lua
E:/a327ex/Anchor/reference/love-compare\anchor\input.lua
E:/a327ex/Anchor/reference/love-compare\anchor\tiled_map.lua
E:/a327ex/Anchor/reference/love-compare\anchor\collider.lua
E:/a327ex/Anchor/reference/love-compare\assets\1.lua
E:/a327ex/Anchor/reference/love-compare\anchor\ui.lua
E:/a327ex/Anchor/reference/love-compare\anchor\layout.lua
E:/a327ex/Anchor/reference/love-compare\anchor\text.lua
... [5 more lines]

1→--[[
     2→  Module responsible for stats in objects. Example:
     3→    self:stats_set('str', 0, -10, 10)
     4→  Now self.stats.str is a table with attribute self.x = 0, self.min = -10 and self.max = 10. The current value can be accessed via self.stats.str.x.
     5→  If you want to add to the current value of the stat:
     6→    self:stats_add('str', 10)
     7→  This adds 10 to self.stats.str.x and thus makes it 10. If you want to subtract from it:
     8→    self:stats_add('str', -10)
     9→  Now self.stats.str.x is 0. If you try to increase or decrease the value beyond its limits then it will be capped by min and max values:
    10→    self:stats_add('str', 1000)
    11→  self.stats.str.x is now 10, which is the maximum it can be.
    12→
    13→  Often times in games you don't want permanent changes of value, but temporary ones due to buffs/debuffs:
    14→    self:stats_set_adds('str', self.str_buff_1 and 1 or 0, self.str_buff_2 and 1 or 0, self.str_buff_3 and 2 or 0, self.str_buff_4 and 4 or 0)
    15→    self:stats_set_mults('str', self.str_buff_5 and 0.2 or 0, self.str_debuff_1 and -0.2 or 0, self.str_buff_6 and 0.5 or 0)
    16→  Calling these two functions in an object's update function will make self.stats.str have buffs that add up to 8, and it will also have its buffs
    17→  multiplied by the addition of all mults, in this case they all add up to 0.5, so the final str value would be (base + adds)*(1 + mults),
    18→  which, assuming base str is 2, for instance, will end up being (2 + 8)*1.5 = 15, but because max for str is 10 then it will be just 10.
    19→
    20→  It's important to note that self:stats_set_adds and self:stats_set_mults have to be called every frame with the appropriate modifiers set,
    21→  as additions and multipliers set through these functions are temporary and assumed to be non-existent if the functions aren't called.
    22→]]--
    23→stats = class:class_new()
    24→function stats:stats()
    25→  self.tags.stats = true
    26→  self.stats = {} -- this overwrites the "stats" function on this object, which is fine since you only need to initialize an object like this once
    27→  return self
    28→end
    29→
    30→--[[
... [75 more lines]

1→# CLAUDE.md
     2→
     3→Guidelines for Claude Code instances working on Emoji Ball Battles.
     4→
     5→---
     6→
     7→## Engine vs Game vs Framework
     8→
     9→**Engine** — C code in `E:/a327ex/Anchor/engine/src/anchor.c` exposing functions to Lua  
    10→**Game** — YueScript code using the engine to build games  
    11→**Framework** — YueScript framework classes in `anchor/` (object.yue, timer.yue, collider.yue, etc.)  
    12→
    13→**Engine Mode** — when modifying anchor.c or engine behavior  
    14→**Game Mode** — when writing gameplay code in YueScript  
    15→**Framework Mode** — when editing the YueScript framework classes  
    16→
    17→This is a **Game** repository. For Engine Mode or Framework Mode, work from the Anchor repository (`E:/a327ex/Anchor/`) and copy changes back here.
    18→
    19→---
    20→
    21→## Framework & Documentation
    22→
    23→The `anchor/` folder contains framework classes (YueScript files that wrap the C engine). Key docs:
    24→- `docs/FRAMEWORK_API.md` — detailed framework documentation with examples
    25→- `docs/FRAMEWORK_API_QUICK.md` — framework class signatures for quick reference
    26→
    27→For engine-level documentation (rarely needed for game code), see `E:/a327ex/Anchor/docs/`.
    28→
    29→---
    30→
... [87 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:
Always prefer flat values first when doing operations, so 2*@radius is better than @radius*2

The file E:\a327ex\emoji-ball-battles\.claude\CLAUDE.md has been updated successfully.

1→global *
     2→
     3→require('anchor')
     4→  width: 480
     5→  height: 270
     6→  scale: 3
     7→
     8→-- Game dimensions
     9→gw, gh = an.width, an.height
    10→
    11→-- Twitter emoji color palette
    12→white = color 255, 255, 255
    13→black = color 0, 0, 0
    14→gray = color 128, 128, 128
    15→bg = color 48, 49, 50
    16→fg = color 231, 232, 233
    17→fg_dark = color 201, 202, 203
    18→yellow = color 253, 205, 86
    19→orange = color 244, 146, 0
    20→blue = color 83, 175, 239
    21→green = color 122, 179, 87
    22→red = color 223, 37, 64
    23→purple = color 172, 144, 216
    24→brown = color 195, 105, 77
    25→wall_color = fg\clone!\mix yellow, 0.1
    26→
    27→-- Layers
    28→back = an\layer 'back'
    29→game = an\layer 'game'
    30→shadow = an\layer 'shadow'
... [61 more lines]

The file E:\a327ex\emoji-ball-battles\main.yue has been updated successfully.

The file E:\a327ex\emoji-ball-battles\main.yue has been updated successfully.

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:
name them player_ball and enemy_ball. Also, change the calculation guidelines such that multiplication and division are together, but addition and subtraction are separated.

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 last rule makes no sense, remove that entirely, the earlier one too.

The file E:\a327ex\emoji-ball-battles\.claude\CLAUDE.md has been updated successfully.

1→global *
     2→
     3→require('anchor')
     4→  width: 480
     5→  height: 270
     6→  scale: 3
     7→
     8→-- Game dimensions
     9→gw, gh = an.width, an.height
    10→
    11→-- Twitter emoji color palette
    12→white = color 255, 255, 255
    13→black = color 0, 0, 0
    14→gray = color 128, 128, 128
    15→bg = color 48, 49, 50
    16→fg = color 231, 232, 233
    17→fg_dark = color 201, 202, 203
    18→yellow = color 253, 205, 86
    19→orange = color 244, 146, 0
    20→blue = color 83, 175, 239
    21→green = color 122, 179, 87
    22→red = color 223, 37, 64
    23→purple = color 172, 144, 216
    24→brown = color 195, 105, 77
    25→wall_color = fg\clone!\mix yellow, 0.1
    26→
    27→-- Layers
    28→back = an\layer 'back'
    29→game = an\layer 'game'
    30→shadow = an\layer 'shadow'
... [90 more lines]

The file E:\a327ex\emoji-ball-battles\main.yue has been updated successfully.

The file E:\a327ex\emoji-ball-battles\main.yue has been updated successfully.

4:  Random child object for seeded random number generation.
7:    @\add random!           -- unseeded (uses os.time)
8:    @\add random 12345      -- seeded for deterministic replays
10:  Random is added as a child object. When the parent dies, the random dies automatically.
11:  Multiple random instances can exist (gameplay RNG vs cosmetic RNG).
20:    choice       - Pick random element from array
26:class random extends object
28:    Creates a new random number generator.
31:      @\add random!           -- uses os.time as seed
32:      @\add random 12345      -- deterministic seed
37:    The random is automatically named 'random' and accessible as @random on the parent.
40:    super 'random'
41:    @rng = random_create seed or os.time!
44:    Returns a random float.
47:      @random\float!          -- 0 to 1
48:      @random\float 10        -- 0 to 10
49:      @random\float 5, 10     -- 5 to 10
55:    Returns: random float in the specified range
60:        random_float_01 @rng
62:        random_float 0, min, @rng
64:      random_float min, max, @rng
67:    Returns a random integer (inclusive).
70:      @random\int 10          -- 1 to 10
71:      @random\int 5, 10       -- 5 to 10
77:    Returns: random integer in [min, max]
81:      random_int 1, min, @rng
83:      random_int min, max, @rng
86:    Returns a random angle in radians.
89:      @random\angle!
91:    Returns: random float in [0, 2π]
... [28 more lines]

84:  an\add random!

The file E:\a327ex\emoji-ball-battles\main.yue has been updated successfully.

491:// Hit event (two shapes collided with speed above threshold)
2877:            // Check if we just reached the threshold
4946:static int l_physics_shape_set_restitution(lua_State* L) {
4951:    float restitution = (float)luaL_checknumber(L, 2);
4952:    b2Shape_SetRestitution(*shape_id, restitution);
4956:static int l_physics_shape_get_restitution(lua_State* L) {
4961:    float restitution = b2Shape_GetRestitution(*shape_id);
4962:    lua_pushnumber(L, restitution);
6795:    lua_register(L, "physics_shape_set_restitution", l_physics_shape_set_restitution);
6796:    lua_register(L, "physics_shape_get_restitution", l_physics_shape_get_restitution);

652-
653-    // Process hit events
654-    for (int i = 0; i < contact_events.hitCount && hit_count < MAX_PHYSICS_EVENTS; i++) {
655:        b2ContactHitEvent* e = &contact_events.hitEvents[i];
656-        if (!b2Shape_IsValid(e->shapeIdA) || !b2Shape_IsValid(e->shapeIdB)) continue;
657-
658-        int tag_a = physics_get_shape_tag(e->shapeIdA);
--
4206-        return 0;  // Already initialized
4207-    }
4208-
4209:    b2WorldDef world_def = b2DefaultWorldDef();
4210-    world_def.gravity = (b2Vec2){0.0f, 10.0f};  // Default gravity (10 m/s² down)
4211-
4212-    physics_world = b2CreateWorld(&world_def);

4210:    world_def.gravity = (b2Vec2){0.0f, 10.0f};  // Default gravity (10 m/s² down)

4200→// World, bodies, shapes, events, spatial queries, raycasting
  4201→// ============================================================================
  4202→
  4203→// Physics Lua bindings
  4204→static int l_physics_init(lua_State* L) {
  4205→    if (physics_initialized) {
  4206→        return 0;  // Already initialized
  4207→    }
  4208→
  4209→    b2WorldDef world_def = b2DefaultWorldDef();
  4210→    world_def.gravity = (b2Vec2){0.0f, 10.0f};  // Default gravity (10 m/s² down)
  4211→
  4212→    physics_world = b2CreateWorld(&world_def);
  4213→    physics_initialized = true;
  4214→    printf("Physics initialized (Box2D)\n");
  4215→    return 0;
  4216→}
  4217→
  4218→static int l_physics_set_gravity(lua_State* L) {
  4219→    if (!physics_initialized) {
  4220→        return luaL_error(L, "Physics not initialized. Call physics_init() first.");
  4221→    }
  4222→
  4223→    float gx = (float)luaL_checknumber(L, 1);
  4224→    float gy = (float)luaL_checknumber(L, 2);
  4225→
  4226→    // Convert from pixels/sec² to meters/sec²
  4227→    b2Vec2 gravity = {gx / pixels_per_meter, gy / pixels_per_meter};
  4228→    b2World_SetGravity(physics_world, gravity);
  4229→    return 0;

The file E:\a327ex\Anchor\engine\src\anchor.c has been updated successfully.

The file E:\a327ex\emoji-ball-battles\main.yue has been updated successfully.

E:/a327ex/Anchor\reference\super emoji box\tools\run.bat
E:/a327ex/Anchor\reference\love-compare\tools\run.bat
E:/a327ex/Anchor\engine\run-web.bat
E:/a327ex/Anchor\scripts\build.bat
E:/a327ex/Anchor\engine\build.bat
E:/a327ex/Anchor\framework\run.bat
E:/a327ex/Anchor\framework\run-web.bat
E:/a327ex/Anchor\engine\run.bat
E:/a327ex/Anchor\scripts\package.bat

anchor.c
src/anchor.c(228): warning C4996: 'strcpy': This function or variable may be unsafe. Consider using strcpy_s instead. To disable deprecation, use _CRT_SECURE_NO_WARNINGS. See online help for details.
src/anchor.c(905): 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(1105): 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(2029): 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(2023): warning C4267: 'initializing': conversion from 'size_t' to 'int', possible loss of data
src/anchor.c(2414): 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(2692): 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(2698): 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(2808): 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(2817): 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(2911): 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(2913): 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(3613): 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(4262): 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(6507): warning C4244: '=': conversion from 'lua_Integer' to 'int', possible loss of data
src/anchor.c(6508): warning C4244: '=': conversion from 'lua_Integer' to 'int', possible loss of data
src/anchor.c(6514): 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(7214): warning C4996: 'strcpy': This function or variable may be unsafe. Consider using strcpy_s instead. To disable deprecation, use _CRT_SECURE_NO_WARNINGS. See online help for details.
src/anchor.c(7218): warning C4996: 'strcat': This function or variable may be unsafe. Consider using strcat_s instead. To disable deprecation, use _CRT_SECURE_NO_WARNINGS. See online help for details.
src/anchor.c(7223): warning C4996: 'strcpy': This function or variable may be unsafe. Consider using strcpy_s instead. To disable deprecation, use _CRT_SECURE_NO_WARNINGS. See online help for details.
src/anchor.c(7227): warning C4996: 'strcat': This function or variable may be unsafe. Consider using strcat_s instead. To disable deprecation, use _CRT_SECURE_NO_WARNINGS. See online help for details.
src/anchor.c(7233): warning C4996: 'strcpy': This function or variable may be unsafe. Consider using strcpy_s instead. To disable deprecation, use _CRT_SECURE_NO_WARNINGS. See online help for details.
src/anchor.c(7237): warning C4996: 'strcat': This function or variable may be unsafe. Consider using strcat_s instead. To disable deprecation, use _CRT_SECURE_NO_WARNINGS. See online help for details.
src/anchor.c(7243): warning C4996: 'strcpy': This function or variable may be unsafe. Consider using strcpy_s instead. To disable deprecation, use _CRT_SECURE_NO_WARNINGS. See online help for details.
src/anchor.c(7247): warning C4996: 'strcat': This function or variable may be unsafe. Consider using strcat_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

The file E:\a327ex\emoji-ball-battles\main.yue has been updated successfully.

The file E:\a327ex\emoji-ball-battles\main.yue has been updated successfully.

The file E:\a327ex\emoji-ball-battles\main.yue has been updated successfully.

Web search results for query: "Box2D perfectly elastic collision no energy loss restitution 1.0"

Links: [{"title":"Box2D plus elastic collisions - Real-Time Physics Simulation Forum","url":"https://pybullet.org/Bullet/phpBB3/viewtopic.php?t=1414"},{"title":"Box2D: Simulation","url":"https://box2d.org/documentation/md_simulation.html"},{"title":"Box2D physics tutorial","url":"https://2dengine.com/doc/box2d.html"},{"title":"Box2D: Dynamics Module","url":"https://box2d.org/doc_version_2_4/md__e_1_2github_2box2d__24_2docs_2dynamics.html"},{"title":"Coefficient of restitution - Wikipedia","url":"https://en.wikipedia.org/wiki/Coefficient_of_restitution"},{"title":"FAQ / gotchas - Box2D tutorials - iforce2d","url":"https://www.iforce2d.net/b2dtut/gotchas"},{"title":"Elastic Collision Explained! (Coefficient of Restitution) - Transtutor.blog","url":"https://www.transtutor.blog/elastic-collision-coefficient-restitution"},{"title":"Elastic Collision Calculator for Momentum and Energy","url":"https://turn2engineering.com/calculators/elastic-collision-calculator"},{"title":"[Solved] The coefficient of restitution for perfectly inelastic","url":"https://testbook.com/question-answer/the-coefficient-of-restitution-for-perfectly--606da2f88b752931aafe3552"},{"title":"How does the coefficient of restitution affect the type of collision? - Calculations, Properties, & Formula | CK-12 Foundation","url":"https://www.ck12.org/flexi/physics/elastic-collisions/how-does-the-coefficient-of-restitution-affect-the-type-of-collision/"}]

Here are the search results for Box2D perfectly elastic collision with restitution 1.0:

## Box2D Restitution and Elastic Collisions

### Basic Concept
In Box2D, a restitution value of one means the ball's velocity will be exactly reflected. This is called a perfectly elastic collision.(no content)The restitution value is usually set to be between 0 and 1.(no content)A value of zero means the ball won't bounce. This is called an inelastic collision.

### Restitution Mixing
Restitution is combined using the formula that takes the maximum of the two shape restitutions: `mixedRestitution = b2MaxFloat(b2Shape_GetRestitution(shapeIdA), b2Shape_GetRestitution(shapeIdB))`.(no content)Restitution is combined this way so that you can have a bouncy super ball without having a bouncy floor.

### Important Limitations
When a shape develops multiple contacts, restitution is simulated approximately. This is because Box2D uses an iterative solver.(no content)Box2D also uses inelastic collisions when the collision velocity is small. This is done to prevent jitter. See `b2_velocityThreshold`.

### Historical Note on Box2D Lite
One thing noted in the original Box2D Lite was that it assumed collisions are perfectly inelastic.(no content)To include restitution, you should adjust the velocity bias in the setup stage. There you should check the normal velocity against some tolerance. If you try to apply restitution directly in the iterations, you end up chasing your tail.

### Physics Background
A coefficient of restitution e = 1 represents a perfectly elastic collision, in which no kinetic energy is dissipated. The objects rebound with the same relative speed with which they approached.(no content)In a perfectly elastic collision, the coefficient of restitution (e) is equal to 1. This signifies that no kinetic energy is lost during the collision. The total kinetic energy of the system before the collision is equal to the total kinetic energy after the collision.

### Key Takeaway
If you're experiencing energy loss even with restitution = 1.0 in Box2D, it's likely due to the velocity threshold (`b2_velocityThreshold`) which prevents bouncing at low velocities to avoid jitter, or because of the iterative nature of the solver when multiple contacts are involved.


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

Web search results for query: "Box2D ball bouncing forever loses energy solution workaround"

Links: [{"title":"Ball Bouncing problem - Box2D Forums","url":"http://box2d.org/forum/viewtopic.php?f=20&t=8796"},{"title":"Problem with bouncing ball - Box2D Forums","url":"http://www.box2d.org/forum/viewtopic.php?t=6283"},{"title":"Body slows down too quickly - Box2D Forums","url":"http://box2d.org/forum/viewtopic.php?f=4&t=1365"},{"title":"Balls stick to walls at low speed (Box2d issue) · Issue #1219 · 4ian/GDevelop","url":"https://github.com/4ian/GDevelop/issues/1219"},{"title":"FAQ / gotchas - Box2D tutorials - iforce2d","url":"https://www.iforce2d.net/b2dtut/gotchas"},{"title":"2d - bouncing ball with physics material seems to gain energy somehow - Unity Engine - Unity Discussions","url":"https://discussions.unity.com/t/2d-bouncing-ball-with-physics-material-seems-to-gain-energy-somehow/579157"},{"title":"Box2d, collisions and how it fails sometimes. - Games - Solar2D Game Engine","url":"https://forums.solar2d.com/t/box2d-collisions-and-how-it-fails-sometimes/297891"},{"title":"Pong game: Ball slides along instead of bouncing off wall. · Issue #501 · erincatto/box2d","url":"https://github.com/erincatto/Box2D/issues/501"},{"title":"Box2D: Simulation","url":"https://box2d.org/documentation/md_simulation.html"},{"title":"Solver2D :: Box2D","url":"https://box2d.org/posts/2024/02/solver2d/"}]

Based on the search results, here's what I found about the Box2D ball bouncing energy loss issue and solutions:

## The Root Cause

There's a velocity threshold for elastic collisions in Box2D. Any collision with a relative linear velocity below this threshold will be treated as inelastic. The constant `b2_velocityThreshold` is set to 1.0 m/s by default, so when the ball's speed falls below this threshold, the restitution value is effectively zero.(no content)Box2D uses inelastic collisions when the collision velocity is small. This is done to prevent jitter.

## Solutions/Workarounds

### 1. Lower the Velocity Threshold
Setting Restitution to 1 and Linear damping to 0 on collision is not enough. The solution is to lower the Box2D setting `b2_velocityThreshold`.

You can modify this in `b2Settings.h`:
```cpp
const float32 b2_velocityThreshold = 1.0f; // 1 m/s (default)
// Change to a smaller value like 0.0f or 0.1f
```

### 2. Set Restitution Properly
Restitution is used to make objects bounce. The restitution value is usually set between 0 and 1. A value of one means the ball's velocity will be exactly reflected - this is called a perfectly elastic collision.(no content)Restitution is combined using the max of both shapes' restitution values, so you can have a bouncy super ball without having a bouncy floor.

### 3. Be Aware of Multiple Contacts
When a shape develops multiple contacts, restitution is simulated approximately because Box2D uses a sequential solver.

## Summary
The main workaround is to **lower `b2_velocityThreshold`** in the Box2D settings to allow elastic collisions at lower velocities. Combined with setting restitution to 1.0 and linear damping to 0, this should allow a ball to bounce indefinitely without losing energy.

... [2 more lines]

Web search results for query: "Box2D 3.0 b2WorldDef restitutionThreshold field name"

Links: [{"title":"Box2D: Simulation","url":"https://box2d.org/documentation/md_simulation.html"},{"title":"Box2D FixtureDef restitutionThreshold Missing · Issue #7152 · libgdx/libgdx","url":"https://github.com/libgdx/libgdx/issues/7152"},{"title":"box2d/CHANGELOG.md at main · erincatto/box2d","url":"https://github.com/erincatto/Box2D/blob/main/CHANGELOG.md"},{"title":"[box2d] update to 2.4.1 · Issue #16263 · microsoft/vcpkg","url":"https://github.com/microsoft/vcpkg/issues/16263"},{"title":"Releases · erincatto/box2d","url":"https://github.com/erincatto/box2d/releases"},{"title":"Box2D: Overview","url":"https://box2d.org/documentation/"},{"title":"box2d/include/box2d/box2d.h at main · erincatto/box2d","url":"https://github.com/erincatto/box2d/blob/main/include/box2d/box2d.h"},{"title":"Box2D: Class Members - Variables","url":"https://box2d.org/doc_version_2_4/functions_vars.html"},{"title":"Box2D: Migration Guide","url":"https://box2d.org/documentation/md_migration.html"},{"title":"Box2D: Data Fields","url":"https://box2d.org/documentation/functions_i.html"}]

Based on the search results, I found information about the `restitutionThreshold` field in Box2D:

Box2D uses inelastic collisions when the collision velocity is small. This is done to prevent jitter. See `b2WorldDef::restitutionThreshold`.

In Box2D 3.0, the field is named `restitutionThreshold` and it's located in the `b2WorldDef` structure. This is different from Box2D 2.4 where `b2FixtureDef::restitutionThreshold` lets you set the restitution velocity threshold per fixture.

The migration from version 2.4 to 3.0 moved this threshold from being per-fixture to being a world-level setting in `b2WorldDef`. Box2D also only reports hit events that have an approach speed larger than `b2WorldDef::hitEventThreshold`. This shows the pattern of world-level thresholds in the 3.0 API.

So to summarize: In **Box2D 3.0**, the field name is `restitutionThreshold` and it's a member of the `b2WorldDef` structure (accessed as `b2WorldDef::restitutionThreshold`).


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

4855:static int l_physics_set_linear_damping(lua_State* L) {
4860:    float damping = (float)luaL_checknumber(L, 2);
4861:    b2Body_SetLinearDamping(*body_id, damping);
4865:static int l_physics_set_angular_damping(lua_State* L) {
4870:    float damping = (float)luaL_checknumber(L, 2);
4871:    b2Body_SetAngularDamping(*body_id, damping);
6786:    lua_register(L, "physics_set_linear_damping", l_physics_set_linear_damping);
6787:    lua_register(L, "physics_set_angular_damping", l_physics_set_angular_damping);

4374-    }
4375-
4376-    // Create body definition
4377:    b2BodyDef body_def = b2DefaultBodyDef();
4378-    body_def.type = body_type;
4379-    body_def.position = (b2Vec2){x / pixels_per_meter, y / pixels_per_meter};
4380-

1→global *
     2→
     3→require('anchor')
     4→  width: 480
     5→  height: 270
     6→  scale: 3
     7→
     8→-- Game dimensions
     9→gw, gh = an.width, an.height
    10→
    11→-- Twitter emoji color palette
    12→white = color 255, 255, 255
    13→black = color 0, 0, 0
    14→gray = color 128, 128, 128
    15→bg = color 48, 49, 50
    16→fg = color 231, 232, 233
    17→fg_dark = color 201, 202, 203
    18→yellow = color 253, 205, 86
    19→orange = color 244, 146, 0
    20→blue = color 83, 175, 239
    21→green = color 122, 179, 87
    22→red = color 223, 37, 64
    23→purple = color 172, 144, 216
    24→brown = color 195, 105, 77
    25→wall_color = fg\clone!\mix yellow, 0.1
    26→
    27→-- Layers
    28→back = an\layer 'back'
    29→game = an\layer 'game'
    30→shadow = an\layer 'shadow'
... [97 more lines]

The file E:\a327ex\emoji-ball-battles\main.yue has been updated successfully.

77:  set_linear_damping: (damping) => physics_set_linear_damping @body, damping
78:  set_angular_damping: (damping) => physics_set_angular_damping @body, damping

The file E:\a327ex\emoji-ball-battles\main.yue has been updated successfully.

431-    uint64_t category_bit;    // Single bit identifying this tag (1, 2, 4, 8, ...)
432-    uint64_t collision_mask;  // Which tags this collides with (physical response)
433-    uint64_t sensor_mask;     // Which tags trigger sensor events
434:    uint64_t hit_mask;        // Which tags trigger hit events
435-} PhysicsTag;
436-
437-static PhysicsTag physics_tags[MAX_PHYSICS_TAGS];
--
530-static PhysicsContactEndEvent contact_end_events[MAX_PHYSICS_EVENTS];
531-static int contact_end_count = 0;
532-
533:static PhysicsHitEvent hit_events[MAX_PHYSICS_EVENTS];
534-static int hit_count = 0;
535-
536-static PhysicsSensorBeginEvent sensor_begin_events[MAX_PHYSICS_EVENTS];
--
650-        ev->tag_b = tag_b;
651-    }
652-
653:    // Process hit events
654-    for (int i = 0; i < contact_events.hitCount && hit_count < MAX_PHYSICS_EVENTS; i++) {
655:        b2ContactHitEvent* e = &contact_events.hitEvents[i];
656-        if (!b2Shape_IsValid(e->shapeIdA) || !b2Shape_IsValid(e->shapeIdB)) continue;
657-
658-        int tag_a = physics_get_shape_tag(e->shapeIdA);
659-        int tag_b = physics_get_shape_tag(e->shapeIdB);
660-        if (tag_a < 0 || tag_b < 0) continue;
661-
662:        PhysicsHitEvent* ev = &hit_events[hit_count++];
663-        ev->shape_a = e->shapeIdA;
... [26 more lines]

Web search results for query: "Box2D 3.0 b2ContactHitEvent when does it fire threshold"

Links: [{"title":"Box2D: Events","url":"https://box2d.org/documentation/group__events.html"},{"title":"Box2D: Simulation","url":"https://box2d.org/documentation/md_simulation.html"},{"title":"box2d/include/box2d/box2d.h at main · erincatto/box2d","url":"https://github.com/erincatto/box2d/blob/main/include/box2d/box2d.h"},{"title":"odin-box2d/bindings.odin at main · cr1sth0fer/odin-box2d","url":"https://github.com/cr1sth0fer/odin-box2d/blob/main/bindings.odin"},{"title":"Box2D: World","url":"https://box2d.org/documentation/group__world.html"},{"title":"Collision callbacks - Box2D tutorials - iforce2d","url":"https://www.iforce2d.net/b2dtut/collision-callbacks"},{"title":"box2d/docs/migration.md at main · erincatto/box2d","url":"https://github.com/erincatto/box2d/blob/main/docs/migration.md"},{"title":"Box2D: Data Fields","url":"https://box2d.org/documentation/functions_s.html"},{"title":"Box2D: b2Contact Class Reference","url":"https://box2d.org/doc_version_2_4/classb2_contact.html"},{"title":"Releases · erincatto/box2d","url":"https://github.com/erincatto/box2d/releases"}]

Based on the search results, here's information about `b2ContactHitEvent` in Box2D 3.0:

## When Does It Fire?

A hit touch event is generated when two shapes collide with a speed faster than the hit speed threshold.

## Threshold Configuration

You can adjust the hit event threshold using `b2World_SetHitEventThreshold()`. This controls the collision speed needed to generate a `b2ContactHitEvent`, usually measured in meters per second.

The threshold can also be set via `b2WorldDef::hitEventThreshold` when creating the world.

## Requirements

Shapes only generate hit events if `b2ShapeDef::enableHitEvents` is true. It's recommended to only enable this for shapes that need hit events because it creates some overhead.

## Event Data

The `b2ContactHitEvent` includes an `approachSpeed` field representing the speed the shapes are approaching. This value is always positive and is typically in meters per second.

## Accessing Events

Contact events are buffered in the Box2D world and are available as event arrays after the time step is complete.

Example usage from the documentation:
```c
... [12 more lines]

527:static PhysicsContactBeginEvent contact_begin_events[MAX_PHYSICS_EVENTS];
528:static int contact_begin_count = 0;
579:    contact_begin_count = 0;
603:    for (int i = 0; i < contact_events.beginCount && contact_begin_count < MAX_PHYSICS_EVENTS; i++) {
611:        PhysicsContactBeginEvent* ev = &contact_begin_events[contact_begin_count++];
5056:           contact_begin_count, contact_end_count, hit_count,
5068:// physics_get_collision_begin(tag_a, tag_b) -> array of {body_a, body_b, shape_a, shape_b, point_x, point_y, normal_x, normal_y}
5069:static int l_physics_get_collision_begin(lua_State* L) {
5081:    for (int i = 0; i < contact_begin_count; i++) {
5082:        PhysicsContactBeginEvent* e = &contact_begin_events[i];
6809:    lua_register(L, "physics_get_collision_begin", l_physics_get_collision_begin);

E:\a327ex\emoji-ball-battles\anchor\init.lua:600:an.collision_begin_events = function(self, tag_a, tag_b)local result = 
E:\a327ex\emoji-ball-battles\anchor\init.lua:602:physics_get_collision_begin(tag_a, tag_b)for _index_0 = 1, #_list_0 do local event = _list_0[_index_0]local id_a = 
E:\a327ex\emoji-ball-battles\anchor\init.yue:592:      for event in *an\collision_begin_events 'player', 'enemy'
E:\a327ex\emoji-ball-battles\anchor\init.yue:600:  an.collision_begin_events = (tag_a, tag_b) =>
E:\a327ex\emoji-ball-battles\anchor\init.yue:602:    for event in *physics_get_collision_begin tag_a, tag_b

The file E:\a327ex\emoji-ball-battles\main.yue has been updated successfully.

The file E:\a327ex\emoji-ball-battles\main.yue has been updated successfully.

The file E:\a327ex\emoji-ball-battles\main.yue has been updated successfully.

582-    Both tags must be registered first via physics_tag.
583-  ]]
584-  an.physics_hit = (tag_a, tag_b) =>
585-    physics_enable_hit tag_a, tag_b
586-    @hit_pairs[] = {a: tag_a, b: tag_b}
587-  
588-  --[[
589-    Returns collision begin events between two tags this frame.
590-  
591-    Usage:
592:      for event in *an\collision_begin_events 'player', 'enemy'
593-        event.a\take_damage 10
594-        spawn_particles event.point_x, event.point_y
595-  
596-    Returns array of:
597-      {a: <object>, b: <object>, shape_a: <handle>, shape_b: <handle>,
598-       point_x, point_y, normal_x, normal_y}
599-  ]]
600:  an.collision_begin_events = (tag_a, tag_b) =>
601-    result = {}
602-    for event in *physics_get_collision_begin tag_a, tag_b
603-      id_a = physics_get_user_data event.body_a
604-      id_b = physics_get_user_data event.body_b
605-      collider_a = @colliders[id_a]
606-      collider_b = @colliders[id_b]
607-      if collider_a and collider_b
608-        -- Normalize order: a should have tag_a, b should have tag_b
609-        if collider_a.tag == tag_a
610-          result[] = {

600→  an.collision_begin_events = (tag_a, tag_b) =>
   601→    result = {}
   602→    for event in *physics_get_collision_begin tag_a, tag_b
   603→      id_a = physics_get_user_data event.body_a
   604→      id_b = physics_get_user_data event.body_b
   605→      collider_a = @colliders[id_a]
   606→      collider_b = @colliders[id_b]
   607→      if collider_a and collider_b
   608→        -- Normalize order: a should have tag_a, b should have tag_b
   609→        if collider_a.tag == tag_a
   610→          result[] = {
   611→            a: collider_a.parent
   612→            b: collider_b.parent
   613→            shape_a: event.shape_a
   614→            shape_b: event.shape_b
   615→            point_x: event.point_x
   616→            point_y: event.point_y
   617→            normal_x: event.normal_x
   618→            normal_y: event.normal_y
   619→          }
   620→        else
   621→          result[] = {
   622→            a: collider_b.parent
   623→            b: collider_a.parent
   624→            shape_a: event.shape_b
   625→            shape_b: event.shape_a
   626→            point_x: event.point_x
   627→            point_y: event.point_y
   628→            normal_x: -event.normal_x
   629→            normal_y: -event.normal_y
... [10 more lines]

The file E:\a327ex\emoji-ball-battles\main.yue has been updated successfully.

The file E:\a327ex\emoji-ball-battles\main.yue has been updated successfully.

59→
    60→-- Ball class
    61→class ball extends object
    62→  new: (@x, @y, @team) =>
    63→    super!
    64→    @image = @team == 'player' and an.images.slight_smile or an.images.no_mouth
    65→    @radius = 10
    66→    @scale = 2*@radius/@image.width
    67→
    68→    @\add collider 'ball', 'dynamic', 'circle', @radius
    69→    @collider\set_position @x, @y
    70→    @collider\set_restitution 1
    71→    @collider\set_friction 1
    72→    @collider\set_linear_damping 0
    73→
    74→    -- Random initial impulse (after 3 seconds)
    75→    @\add timer!
    76→    @collider\set_gravity_scale 0
    77→    @timer\after 3, ->
    78→      @collider\set_gravity_scale 1
    79→      @collider\apply_impulse an.random\float(-20, 20), an.random\float(-20, 20)
    80→
    81→  update: =>
    82→    game\push @x, @y, @collider\get_angle!, @scale, @scale
    83→    game\image @image, 0, 0

The file E:\a327ex\emoji-ball-battles\main.yue has been updated successfully.

421-static bool physics_initialized = false;
422-static bool physics_enabled = true;
423:static float pixels_per_meter = 64.0f;  // Default: 64 pixels = 1 meter
424-
425-// Physics tag system
--
622-        if (contact_count > 0 && contact_data.manifold.pointCount > 0) {
623-            // Use first contact point (there can be up to 2 for polygon-polygon)
624:            ev->point_x = contact_data.manifold.points[0].point.x * pixels_per_meter;
625:            ev->point_y = contact_data.manifold.points[0].point.y * pixels_per_meter;
626-            ev->normal_x = contact_data.manifold.normal.x;
627-            ev->normal_y = contact_data.manifold.normal.y;
--
668-        ev->tag_b = tag_b;
669-        // Convert from meters to pixels
670:        ev->point_x = e->point.x * pixels_per_meter;
671:        ev->point_y = e->point.y * pixels_per_meter;
672-        ev->normal_x = e->normal.x;
673-        ev->normal_y = e->normal.y;
674:        ev->approach_speed = e->approachSpeed * pixels_per_meter;
675-    }
676-
--
4226-
4227-    // Convert from pixels/sec² to meters/sec²
4228:    b2Vec2 gravity = {gx / pixels_per_meter, gy / pixels_per_meter};
4229-    b2World_SetGravity(physics_world, gravity);
4230-    return 0;
4231-}
4232-
... [215 more lines]

E:\a327ex\emoji-ball-battles\reference\super emoji box\main.lua:109:  lun:physics_world_set_gravity(0, 256)
E:\a327ex\emoji-ball-battles\reference\super emoji box\main.lua:474:  self:collider_set_gravity_scale(0.5)
E:\a327ex\emoji-ball-battles\reference\super emoji box\main.lua:492:    self:collider_set_gravity_scale(0.35)
E:\a327ex\emoji-ball-battles\reference\super emoji box\main.lua:558:  self:collider_set_gravity_scale(0)
E:\a327ex\emoji-ball-battles\reference\super emoji box\main.lua:707:  self:collider_set_gravity_scale(1)
E:\a327ex\emoji-ball-battles\reference\super emoji box\lun\collider.lua:225:  Sets the colider's gravity scale.
E:\a327ex\emoji-ball-battles\reference\super emoji box\lun\collider.lua:226:  This is a multiplier on the world's gravity, but applied to this collider alone.
E:\a327ex\emoji-ball-battles\reference\super emoji box\lun\collider.lua:228:    self:collider_set_gravity_scale(0)
E:\a327ex\emoji-ball-battles\reference\super emoji box\lun\collider.lua:230:function collider:collider_set_gravity_scale(v)
E:\a327ex\emoji-ball-battles\reference\super emoji box\lun\physics_world.lua:9:    lun:physics_world(64, 0, 256) -> a common platformer setup with vertical downward gravity
E:\a327ex\emoji-ball-battles\reference\super emoji box\lun\physics_world.lua:321:  Sets the box2d world's gravity.
E:\a327ex\emoji-ball-battles\reference\super emoji box\lun\physics_world.lua:322:  By default, the physics world in "lun" is set to have 0, 0 gravity, so you can use this function to change it.
E:\a327ex\emoji-ball-battles\reference\super emoji box\lun\physics_world.lua:323:  If you're creating your own worlds instead then you can set gravity directly on the "physics_world" initialization function.
E:\a327ex\emoji-ball-battles\reference\super emoji box\lun\physics_world.lua:324:  Remember to take into account your current meter size and to set the gravity value relative to it.
E:\a327ex\emoji-ball-battles\reference\super emoji box\lun\physics_world.lua:327:    lun:physics_world_set_gravity(0, 128) -> decent downwards gravity value for a world of 64 meter size
E:\a327ex\emoji-ball-battles\reference\super emoji box\lun\physics_world.lua:329:function physics_world:physics_world_set_gravity(gx, gy)

1→global *
     2→
     3→require('anchor')
     4→  width: 480
     5→  height: 270
     6→  scale: 3
     7→
     8→-- Game dimensions
     9→gw, gh = an.width, an.height
    10→
    11→-- Twitter emoji color palette
    12→white = color 255, 255, 255
    13→black = color 0, 0, 0
    14→gray = color 128, 128, 128
    15→bg = color 48, 49, 50
    16→fg = color 231, 232, 233
    17→fg_dark = color 201, 202, 203
    18→yellow = color 253, 205, 86
    19→orange = color 244, 146, 0
    20→blue = color 83, 175, 239
    21→green = color 122, 179, 87
    22→red = color 223, 37, 64
    23→purple = color 172, 144, 216
    24→brown = color 195, 105, 77
    25→wall_color = fg\clone!\mix yellow, 0.1
    26→
    27→-- Layers
    28→back = an\layer 'back'
    29→game = an\layer 'game'
    30→shadow = an\layer 'shadow'
... [129 more lines]

The file E:\a327ex\emoji-ball-battles\main.yue has been updated successfully.

The file E:\a327ex\emoji-ball-battles\main.yue has been updated successfully.

The file E:\a327ex\emoji-ball-battles\main.yue has been updated successfully.

The file E:\a327ex\emoji-ball-battles\main.yue has been updated successfully.

74→
    75→    -- Random initial impulse (after 3 seconds)
    76→    @\add timer!
    77→    @collider\set_gravity_scale 0
    78→    @timer\after 3, ->
    79→      @collider\set_gravity_scale 1
    80→      @collider\apply_impulse an.random\float(-20, 20), an.random\float(-20, 20)
    81→
    82→  update: =>
    83→    game\push @x, @y, @collider\get_angle!, @scale, @scale

The file E:\a327ex\emoji-ball-battles\main.yue has been updated successfully.

The file E:\a327ex\emoji-ball-battles\main.yue has been updated successfully.

The file E:\a327ex\emoji-ball-battles\main.yue has been updated successfully.

The file E:\a327ex\emoji-ball-battles\main.yue has been updated successfully.

The file E:\a327ex\emoji-ball-battles\main.yue has been updated successfully.

The file E:\a327ex\emoji-ball-battles\main.yue has been updated successfully.

E:\a327ex\emoji-ball-battles\reference\super emoji box\main.lua:433:    self:spring_pull('jump_x', math.remap(self.vy, 0, 1000, 0, 1), 200, 10)
E:\a327ex\emoji-ball-battles\reference\super emoji box\main.lua:434:    self:spring_pull('jump_y', math.remap(self.vy, 0, 1000, -0.2, 0), 200, 10)
E:\a327ex\emoji-ball-battles\reference\super emoji box\main.lua:438:      lun:s_shake(math.remap(self.vy, 100, 500, 1, 2), math.pi/2)
E:\a327ex\emoji-ball-battles\reference\super emoji box\main.lua:444:        plant:apply_direct_force(-math.sign(dx), nil, nil, math.remap(math.abs(dx), 0, 75, 75, 25))
E:\a327ex\emoji-ball-battles\reference\super emoji box\main.lua:837:  self.w = math.remap(self.v, 0, 250, 0, 14)
E:\a327ex\emoji-ball-battles\reference\super emoji box\main.lua:838:  self.h = math.remap(self.v, 0, 250, 0, 7)
E:\a327ex\emoji-ball-battles\reference\super emoji box\main.lua:1040:    local f = math.remap(math.abs(force), 0, 100, 0, self.init_max_moving_wind_force_rv)
E:\a327ex\emoji-ball-battles\reference\super emoji box\main.lua:1053:    local f = math.remap(math.abs(force), 0, 100, 0, self.init_max_direct_wind_force_rv)
E:\a327ex\emoji-ball-battles\reference\super emoji box\lun\collider.lua:374:    dx, dy = dx*math.remap(d, 0, rs, 0, max_speed), dy*math.remap(d, 0, rs, 0, max_speed)
E:\a327ex\emoji-ball-battles\reference\super emoji box\lun\math.lua:356:    math.remap() -> error, expects 5 numbers
E:\a327ex\emoji-ball-battles\reference\super emoji box\lun\math.lua:357:    math.remap(10, 0, 20, 0, 1)       -> 0.5 because 10 is 50% of [0, 20] and thus 0.5 is 50% of [0, 1]
E:\a327ex\emoji-ball-battles\reference\super emoji box\lun\math.lua:358:    math.remap(3, 0, 3, 0, 100)       -> 100
E:\a327ex\emoji-ball-battles\reference\super emoji box\lun\math.lua:359:    math.remap(2.5, -5, 5, -100, 100) -> 50
E:\a327ex\emoji-ball-battles\reference\super emoji box\lun\math.lua:360:    math.remap(-10, 0, 10, 0, 1000)   -> -1000
E:\a327ex\emoji-ball-battles\reference\super emoji box\lun\math.lua:362:function math.remap(n, old_min, old_max, new_min, new_max)
E:\a327ex\emoji-ball-battles\reference\super emoji box\lun\timer.lua:145:      delays[i] = math.remap(steps[j], 0, 1, start_delay, end_delay)

354→  Remaps value n using its previous range of old_min, old_max into the new range new_min, new_max.
   355→  Examples:
   356→    math.remap() -> error, expects 5 numbers
   357→    math.remap(10, 0, 20, 0, 1)       -> 0.5 because 10 is 50% of [0, 20] and thus 0.5 is 50% of [0, 1]
   358→    math.remap(3, 0, 3, 0, 100)       -> 100
   359→    math.remap(2.5, -5, 5, -100, 100) -> 50
   360→    math.remap(-10, 0, 10, 0, 1000)   -> -1000
   361→]]--
   362→function math.remap(n, old_min, old_max, new_min, new_max)
   363→  return ((n - old_min)/(old_max - old_min))*(new_max - new_min) + new_min
   364→end
   365→
   366→--[[
   367→  Rotates the point by r angle with ox, oy as the pivot.
   368→  TODO: examples

1→global *
     2→
     3→require('anchor')
     4→  width: 480
     5→  height: 270
     6→  scale: 3
     7→
     8→-- Game dimensions
     9→gw, gh = an.width, an.height
    10→
    11→-- Twitter emoji color palette
    12→white = color 255, 255, 255
    13→black = color 0, 0, 0
    14→gray = color 128, 128, 128
    15→bg = color 48, 49, 50
    16→fg = color 231, 232, 233
    17→fg_dark = color 201, 202, 203
    18→yellow = color 253, 205, 86
    19→orange = color 244, 146, 0
    20→blue = color 83, 175, 239
    21→green = color 122, 179, 87
    22→red = color 223, 37, 64
    23→purple = color 172, 144, 216
    24→brown = color 195, 105, 77
    25→wall_color = fg\clone!\mix yellow, 0.1
    26→
    27→-- Layers
    28→back = an\layer 'back'
    29→game = an\layer 'game'
    30→shadow = an\layer 'shadow'
... [20 more lines]

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E:\a327ex\emoji-ball-battles\anchor\array.yue
E:\a327ex\emoji-ball-battles\anchor\camera.yue
E:\a327ex\emoji-ball-battles\anchor\collider.yue
E:\a327ex\emoji-ball-battles\anchor\font.yue
E:\a327ex\emoji-ball-battles\anchor\image.yue
E:\a327ex\emoji-ball-battles\anchor\init.yue
E:\a327ex\emoji-ball-battles\anchor\layer.yue
E:\a327ex\emoji-ball-battles\anchor\math.yue
E:\a327ex\emoji-ball-battles\anchor\object.yue
E:\a327ex\emoji-ball-battles\anchor\random.yue
E:\a327ex\emoji-ball-battles\anchor\shake.yue
E:\a327ex\emoji-ball-battles\anchor\spring.yue
E:\a327ex\emoji-ball-battles\anchor\timer.yue
E:\a327ex\emoji-ball-battles\anchor\color.yue

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→
    30→--[[
... [435 more lines]

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85→    -- Create balls
    86→    @player_ball = @\add ball @x + @w*0.25, @y + @h/2, 'player'
    87→    @enemy_ball = @\add ball @x + @w*0.75, @y + @h/2, 'enemy'
    88→
    89→  early_update: (dt) =>
    90→    -- Ball-ball collisions add energy to compensate for Box2D leaking it
    91→    for event in *an\collision_begin_events 'ball', 'ball'
    92→      ball_a, ball_b = event.a, event.b
    93→      vx_a, vy_a = ball_a.collider\get_velocity!
    94→      vx_b, vy_b = ball_b.collider\get_velocity!
    95→
    96→      speed_a = math.sqrt(vx_a*vx_a + vy_a*vy_a)
    97→      speed_b = math.sqrt(vx_b*vx_b + vy_b*vy_b)
    98→      max_speed = math.max(speed_a, speed_b)
    99→
   100→      -- Chance of energy redistribution increases as we approach speed cap
   101→      speed_ratio = max_speed/512
   102→      if an.random\float(0, 1) < speed_ratio
   103→        energy_a = vx_a*vx_a + vy_a*vy_a
   104→        energy_b = vx_b*vx_b + vy_b*vy_b
   105→        total_energy = energy_a + energy_b
   106→
   107→        -- Only redistribute if both balls have some energy (preserves direction)
   108→        if total_energy > 0 and energy_a > 0.01 and energy_b > 0.01
   109→          -- Current energy distribution ratio
   110→          ratio_a = energy_a/total_energy
   111→
   112→          -- Randomly shift ratio, spread increases with speed
   113→          -- At max speed, can shift by up to 1.0 (full reversal possible)
   114→          spread = speed_ratio
... [15 more lines]

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1→global *
     2→
     3→--[[
     4→  Random child object for seeded random number generation.
     5→
     6→  Usage:
     7→    @\add random!           -- unseeded (uses os.time)
     8→    @\add random 12345      -- seeded for deterministic replays
     9→
    10→  Random is added as a child object. When the parent dies, the random dies automatically.
    11→  Multiple random instances can exist (gameplay RNG vs cosmetic RNG).
    12→
    13→  Random methods:
    14→    float        - Random float in range
    15→    int          - Random integer in range
    16→    angle        - Random angle 0 to 2π
    17→    sign         - Random -1 or 1
    18→    bool         - Random true/false
    19→    normal       - Gaussian distribution
    20→    choice       - Pick random element from array
    21→    choices      - Pick n unique elements from array
    22→    weighted     - Weighted index selection
    23→    get_seed     - Get current seed
    24→    set_seed     - Reset with new seed
    25→]]
    26→class random extends object
    27→  --[[
    28→    Creates a new random number generator.
    29→
    30→    Usage:
... [170 more lines]

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68→-- Arena class (contains walls, manages fight state)
    69→class arena extends object
    70→  new: =>
    71→    super!
    72→
    73→    -- Play area dimensions (200x200, centered)
    74→    @w, @h = 200, 200
    75→    @x = (gw - @w)/2
    76→    @y = (gh - @h)/2
    77→    wall_thickness = 200
    78→
    79→    -- Create walls as children
    80→    @\add wall @x + @w/2, @y - wall_thickness/2, @w + wall_thickness*2, wall_thickness
    81→    @\add wall @x + @w/2, @y + @h + wall_thickness/2, @w + wall_thickness*2, wall_thickness
    82→    @\add wall @x - wall_thickness/2, @y + @h/2, wall_thickness, @h
    83→    @\add wall @x + wall_thickness/2 + @w, @y + @h/2, wall_thickness, @h
    84→
    85→    -- Create balls
    86→    @player_ball = @\add ball @x + @w*0.25, @y + @h/2, 'player'
    87→    @enemy_ball = @\add ball @x + @w*0.75, @y + @h/2, 'enemy'
    88→
    89→  early_update: (dt) =>
    90→    -- Ball-ball collisions add energy to compensate for Box2D leaking it
    91→    for event in *an\collision_begin_events 'ball', 'ball'
    92→      ball_a, ball_b = event.a, event.b
    93→      vx_a, vy_a = ball_a.collider\get_velocity!
    94→      vx_b, vy_b = ball_b.collider\get_velocity!
    95→
    96→      speed_a = math.sqrt(vx_a*vx_a + vy_a*vy_a)
    97→      speed_b = math.sqrt(vx_b*vx_b + vy_b*vy_b)
... [50 more lines]

145→        scale = 512/speed_a
   146→        vx_a = vx_a*scale
   147→        vy_a = vy_a*scale
   148→
   149→      speed_b = math.sqrt(vx_b*vx_b + vy_b*vy_b)
   150→      if speed_b > 512
   151→        scale = 512/speed_b
   152→        vx_b = vx_b*scale
   153→        vy_b = vy_b*scale
   154→
   155→      ball_a.collider\set_velocity vx_a, vy_a
   156→      ball_b.collider\set_velocity vx_b, vy_b
   157→
   158→  update: (dt) =>
   159→    back\rectangle 0, 0, gw, gh, fg!
   160→
   161→
   162→
   163→-- Ball class
   164→class ball extends object
   165→  new: (@x, @y, @team) =>
   166→    super!
   167→    @\tag 'ball'
   168→    @image = @team == 'player' and an.images.slight_smile or an.images.no_mouth
   169→    @radius = 10
   170→    @scale = 2*@radius/@image.width
   171→
   172→    @\add collider 'ball', 'dynamic', 'circle', @radius
   173→    @collider\set_position @x, @y
   174→    @collider\set_restitution 0.92

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170→        vx_a = vx_a*scale
   171→        vy_a = vy_a*scale
   172→
   173→      speed_b = math.sqrt(vx_b*vx_b + vy_b*vy_b)
   174→      if speed_b > 512
   175→        scale = 512/speed_b
   176→        vx_b = vx_b*scale
   177→        vy_b = vy_b*scale
   178→
   179→      ball_a.collider\set_velocity vx_a, vy_a
   180→      ball_b.collider\set_velocity vx_b, vy_b
   181→
   182→  update: (dt) =>
   183→    -- Decay high speed hit count over time
   184→    @high_speed_hit_count = math.max(0, @high_speed_hit_count - dt*0.5)
   185→
   186→  update: (dt) =>
   187→    back\rectangle 0, 0, gw, gh, fg!
   188→
   189→

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100→      speed_b = math.sqrt(vx_b*vx_b + vy_b*vy_b)
   101→      max_speed = math.max(speed_a, speed_b)
   102→
   103→      -- Track high speed hits (either ball > 400)
   104→      is_high_speed_hit = max_speed > 400
   105→      if is_high_speed_hit
   106→        @high_speed_hit_count += 1
   107→
   108→      -- Chance to bypass energy system increases with recent high speed hits
   109→      -- At 0 hits: 0% bypass, at 5+ hits: 50% bypass
   110→      bypass_chance = math.remap(math.clamp(@high_speed_hit_count, 0, 5), 0, 5, 0, 0.5)
   111→      bypass_energy_system = an.random\float(0, 1) < bypass_chance
   112→
   113→      if bypass_energy_system
   114→        -- 50% chance: lose energy, 50% chance: normal collision (do nothing)
   115→        if an.random\bool!
   116→          -- Lose energy: scale velocities down
   117→          energy_loss = 0.85
   118→          vx_a = vx_a*energy_loss
   119→          vy_a = vy_a*energy_loss
   120→          vx_b = vx_b*energy_loss
   121→          vy_b = vy_b*energy_loss
   122→        -- else: normal collision, do nothing special
   123→      else
   124→        -- Normal energy redistribution system
   125→        speed_ratio = math.remap(max_speed, 0, 512, 0, 1)
   126→        if an.random\float(0, 1) < speed_ratio
   127→          energy_a = vx_a*vx_a + vy_a*vy_a
   128→          energy_b = vx_b*vx_b + vy_b*vy_b
   129→          total_energy = energy_a + energy_b
... [20 more lines]

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105→    Returns: -1 or 1
   106→  ]]
   107→  sign: (chance) => random_sign chance, @rng
   108→
   109→  --[[
   110→    Returns true or false randomly.
   111→
   112→    Usage:
   113→      @random\bool!           -- 50% chance true
   114→      @random\bool 10         -- 10% chance true
   115→
   116→    Parameters:
   117→      chance - (optional) percentage chance of returning true (default 50)
   118→
   119→    Returns: true or false
   120→  ]]
   121→  bool: (chance) => random_bool chance, @rng
   122→
   123→  --[[
   124→    Returns a normally distributed random number.
   125→
   126→    Usage:
   127→      @random\normal!             -- mean 0, stddev 1
   128→      @random\normal 100, 15      -- mean 100, stddev 15
   129→

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109→  --[[
   110→    Returns true or false randomly.
   111→
   112→    Usage:
   113→      @random\bool!           -- 50% chance true
   114→      @random\bool 10         -- 10% chance true
   115→
   116→    Parameters:
   117→      chance - (optional) percentage chance of returning true (default 50)
   118→
   119→    Returns: true or false
   120→  ]]
   121→  bool: (chance) => random_bool chance, @rng
   122→
   123→  --[[

1→global *
     2→
     3→--[[
     4→  Random child object for seeded random number generation.
     5→
     6→  Usage:
     7→    @\add random!           -- unseeded (uses os.time)
     8→    @\add random 12345      -- seeded for deterministic replays
     9→
    10→  Random is added as a child object. When the parent dies, the random dies automatically.
    11→  Multiple random instances can exist (gameplay RNG vs cosmetic RNG).
    12→
    13→  Random methods:
    14→    float        - Random float in range
    15→    int          - Random integer in range
    16→    angle        - Random angle 0 to 2π
    17→    sign         - Random -1 or 1
    18→    bool         - Random true/false
    19→    normal       - Gaussian distribution
    20→    choice       - Pick random element from array
    21→    choices      - Pick n unique elements from array
    22→    weighted     - Weighted index selection
    23→    get_seed     - Get current seed
    24→    set_seed     - Reset with new seed
    25→]]
    26→class random extends object
    27→  --[[
    28→    Creates a new random number generator.
    29→
    30→    Usage:

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180→        scale = 512/speed_b
   181→        vx_b = vx_b*scale
   182→        vy_b = vy_b*scale
   183→
   184→      ball_a.collider\set_velocity vx_a, vy_a
   185→      ball_b.collider\set_velocity vx_b, vy_b
   186→
   187→  update: (dt) =>
   188→    -- Decay high speed hit count over time
   189→    @high_speed_hit_count = math.max(0, @high_speed_hit_count - dt*0.5)
   190→
   191→    back\rectangle 0, 0, gw, gh, fg!
   192→
   193→
   194→

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85→    -- Create balls
    86→    @player_ball = @\add ball @x + @w*0.25, @y + @h/2, 'player'
    87→    @enemy_ball = @\add ball @x + @w*0.75, @y + @h/2, 'enemy'
    88→
    89→    -- Track recent high speed hits for energy system bypass
    90→    @high_speed_hit_count = 0
    91→
    92→  early_update: (dt) =>
    93→    -- Ball-ball collisions add energy to compensate for Box2D leaking it
    94→    for event in *an\collision_begin_events 'ball', 'ball'
    95→      ball_a, ball_b = event.a, event.b
    96→      vx_a, vy_a = ball_a.collider\get_velocity!
    97→      vx_b, vy_b = ball_b.collider\get_velocity!
    98→      print(vx_a, vx_b)
    99→
   100→      speed_a = math.sqrt(vx_a*vx_a + vy_a*vy_a)
   101→      speed_b = math.sqrt(vx_b*vx_b + vy_b*vy_b)
   102→      max_speed = math.max(speed_a, speed_b)
   103→
   104→      -- Track high speed hits (either ball > 400)
   105→      is_high_speed_hit = max_speed > 400
   106→      if is_high_speed_hit
   107→        @high_speed_hit_count += 1
   108→
   109→      -- Chance to bypass energy system increases with recent high speed hits
   110→      -- S-curve: slow start, ramps up in middle, guaranteed at 12+ hits
   111→      normalized_hits = math.clamp(@high_speed_hit_count, 0, 12)/12
   112→      bypass_chance = math.cubic_in_out(normalized_hits)
   113→      bypass_energy_system = an.random\bool bypass_chance*100
   114→
... [30 more lines]

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155→            new_energy_a = total_energy*new_ratio_a
   156→            new_energy_b = total_energy*(1 - new_ratio_a)
   157→
   158→            scale_a = math.sqrt(new_energy_a/energy_a)
   159→            scale_b = math.sqrt(new_energy_b/energy_b)
   160→
   161→            vx_a = vx_a*scale_a
   162→            vy_a = vy_a*scale_a
   163→            vx_b = vx_b*scale_b
   164→            vy_b = vy_b*scale_b
   165→
   166→      -- Apply energy boost (unless we're bypassing and losing energy)
   167→      if not bypass_energy_system
   168→        vx_a = vx_a*1.08
   169→        vy_a = vy_a*1.08
   170→        vx_b = vx_b*1.08
   171→        vy_b = vy_b*1.08
   172→
   173→      -- Cap speed at 512
   174→      speed_a = math.sqrt(vx_a*vx_a + vy_a*vy_a)
   175→      if speed_a > 512
   176→        scale = 512/speed_a
   177→        vx_a = vx_a*scale
   178→        vy_a = vy_a*scale
   179→
   180→      speed_b = math.sqrt(vx_b*vx_b + vy_b*vy_b)
   181→      if speed_b > 512
   182→        scale = 512/speed_b
   183→        vx_b = vx_b*scale
   184→        vy_b = vy_b*scale
... [10 more lines]

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E:\a327ex\emoji-ball-battles\anchor\init.lua:643:an.collision_end_events = function(self, tag_a, tag_b)local result = 
E:\a327ex\emoji-ball-battles\anchor\init.lua:645:physics_get_collision_end(tag_a, tag_b)for _index_0 = 1, #_list_0 do local event = _list_0[_index_0]local id_a = 
E:\a327ex\emoji-ball-battles\anchor\init.yue:637:      for event in *an\collision_end_events 'player', 'platform'
E:\a327ex\emoji-ball-battles\anchor\init.yue:643:  an.collision_end_events = (tag_a, tag_b) =>
E:\a327ex\emoji-ball-battles\anchor\init.yue:645:    for event in *physics_get_collision_end tag_a, tag_b

85→    -- Create balls
    86→    @player_ball = @\add ball @x + @w*0.25, @y + @h/2, 'player'
    87→    @enemy_ball = @\add ball @x + @w*0.75, @y + @h/2, 'enemy'
    88→
    89→    -- Track recent high speed hits for energy system bypass
    90→    @high_speed_hit_count = 0
    91→    -- Track recent low horizontal hits to prevent stalling
    92→    @low_horizontal_hit_count = 0
    93→
    94→  early_update: (dt) =>
    95→    -- Ball-ball collisions add energy to compensate for Box2D leaking it
    96→    for event in *an\collision_begin_events 'ball', 'ball'
    97→      ball_a, ball_b = event.a, event.b
    98→      vx_a, vy_a = ball_a.collider\get_velocity!
    99→      vx_b, vy_b = ball_b.collider\get_velocity!
   100→
   101→      speed_a = math.sqrt(vx_a*vx_a + vy_a*vy_a)
   102→      speed_b = math.sqrt(vx_b*vx_b + vy_b*vy_b)
   103→      max_speed = math.max(speed_a, speed_b)
   104→
   105→      -- Track high speed hits (either ball > 400)
   106→      is_high_speed_hit = max_speed > 400
   107→      if is_high_speed_hit
   108→        @high_speed_hit_count += 1
   109→

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200→
   201→      ball_a.collider\set_velocity vx_a, vy_a
   202→      ball_b.collider\set_velocity vx_b, vy_b
   203→
   204→      print @low_horizontal_hit_count
   205→
   206→  update: (dt) =>
   207→    back\rectangle 0, 0, gw, gh, fg!
   208→
   209→
   210→
   211→-- Ball class
   212→class ball extends object
   213→  new: (@x, @y, @team) =>
   214→    super!
   215→    @\tag 'ball'
   216→    @image = @team == 'player' and an.images.slight_smile or an.images.no_mouth
   217→    @radius = 10
   218→    @scale = 2*@radius/@image.width
   219→

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94→    @ball_wall_contact_time = {}
    95→
    96→  early_update: (dt) =>
    97→    -- Ball-ball collisions add energy to compensate for Box2D leaking it
    98→    for event in *an\collision_begin_events 'ball', 'ball'
    99→      ball_a, ball_b = event.a, event.b
   100→      vx_a, vy_a = ball_a.collider\get_velocity!
   101→      vx_b, vy_b = ball_b.collider\get_velocity!
   102→
   103→      speed_a = math.sqrt(vx_a*vx_a + vy_a*vy_a)
   104→      speed_b = math.sqrt(vx_b*vx_b + vy_b*vy_b)
   105→      max_speed = math.max(speed_a, speed_b)
   106→
   107→      -- Track high speed hits (either ball > 400)
   108→      is_high_speed_hit = max_speed > 400
   109→      if is_high_speed_hit
   110→        @high_speed_hit_count += 1
   111→
   112→      -- Chance to bypass energy system increases with recent high speed hits
   113→      -- S-curve: slow start, ramps up in middle, guaranteed at 12+ hits
   114→      normalized_hits = math.clamp(@high_speed_hit_count, 0, 12)/12
   115→      bypass_chance = math.cubic_in_out(normalized_hits)
   116→      bypass_energy_system = an.random\bool bypass_chance*100
   117→
   118→
   119→      if bypass_energy_system
   120→        @high_speed_hit_count = 0
   121→        -- 50% chance: lose energy, 50% chance: normal collision (do nothing)
   122→        if an.random\bool 70
   123→          -- Lose energy: scale velocities down
... [100 more lines]

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1→# Emoji Ball Battles - Implementation Plan
     2→
     3→## Philosophy
     4→
     5→This plan follows the **beginning/end/constraint** framework:
     6→
     7→1. **Beginning**: Get the moment-to-moment combat working
     8→2. **End**: Validate power fantasies by implementing actual classes/weapons/items and testing broken builds
     9→3. **Middle**: Only then build the meta loop (draft, evolution, etc.) — planned after Phase 2 findings
    10→
    11→---
    12→
    13→## Architecture Principles
    14→
    15→### Single File
    16→
    17→The entire codebase lives in `main.yue`. No separate modules, no `game/` or `data/` folders.
    18→
    19→```
    20→emoji-ball-battles/
    21→├── main.yue           -- everything
    22→├── anchor/            -- framework classes
    23→├── assets/
    24→│   ├── emoji/         -- emoji sprites (later)
    25→│   └── sounds/        -- sound effects (later)
    26→└── reference/
    27→    └── implementation-plan.md
    28→```
    29→
    30→### Locality
... [367 more lines]

The file E:\a327ex\emoji-ball-battles\docs\IMPLEMENTATION_PLAN.md has been updated successfully.

The file E:\a327ex\emoji-ball-battles\docs\IMPLEMENTATION_PLAN.md has been updated successfully.

The file E:\a327ex\emoji-ball-battles\docs\IMPLEMENTATION_PLAN.md has been updated successfully.

1→# Framework API Quick Reference
     2→
     3→Function signatures for YueScript framework classes. See `FRAMEWORK_API.md` for detailed documentation with examples.
     4→
     5→## Initialization
     6→
     7→```
     8→require('anchor')
     9→  width: 640        -- game resolution width (default: 480)
    10→  height: 360       -- game resolution height (default: 270)
    11→  title: "My Game"  -- window title (default: "Anchor")
    12→  scale: 2          -- initial window scale (default: 3)
    13→  vsync: true       -- vertical sync (default: true)
    14→  fullscreen: false -- start fullscreen (default: false)
    15→  resizable: true   -- window resizable (default: true)
    16→  filter: "rough"   -- "rough" or "smooth" (default: "rough")
    17→```
    18→
    19→## Root Object (an)
    20→
    21→### Engine State (Static)
    22→```
    23→an.width -> int           -- game resolution width
    24→an.height -> int          -- game resolution height
    25→an.dt -> number           -- fixed delta time (1/120)
    26→an.platform -> string     -- "web" or "windows"
    27→```
    28→
    29→### Engine State (Dynamic - updated every frame)
    30→```
... [70 more lines]

511:math.lerp(t, source, destination) -> number
512:math.lerp_dt(p, t, dt, source, destination) -> number
513:math.lerp_angle(t, source, destination) -> number
514:math.lerp_angle_dt(p, t, dt, source, destination) -> number
519:math.clamp(value, min, max) -> number
520:math.loop(t, length) -> number
525:math.linear(t) -> number
526:math.sine_in(t), math.sine_out(t), math.sine_in_out(t), math.sine_out_in(t)
527:math.quad_in(t), math.quad_out(t), math.quad_in_out(t), math.quad_out_in(t)
528:math.cubic_in(t), math.cubic_out(t), math.cubic_in_out(t), math.cubic_out_in(t)
529:math.quart_in(t), math.quart_out(t), math.quart_in_out(t), math.quart_out_in(t)
530:math.quint_in(t), math.quint_out(t), math.quint_in_out(t), math.quint_out_in(t)
531:math.expo_in(t), math.expo_out(t), math.expo_in_out(t), math.expo_out_in(t)
532:math.circ_in(t), math.circ_out(t), math.circ_in_out(t), math.circ_out_in(t)
533:math.bounce_in(t), math.bounce_out(t), math.bounce_in_out(t), math.bounce_out_in(t)
534:math.back_in(t), math.back_out(t), math.back_in_out(t), math.back_out_in(t)
535:math.elastic_in(t), math.elastic_out(t), math.elastic_in_out(t), math.elastic_out_in(t)

515→```
   516→
   517→### Utility
   518→```
   519→math.clamp(value, min, max) -> number
   520→math.loop(t, length) -> number
   521→```
   522→
   523→### Easing Functions
   524→```
   525→math.linear(t) -> number
   526→math.sine_in(t), math.sine_out(t), math.sine_in_out(t), math.sine_out_in(t)
   527→math.quad_in(t), math.quad_out(t), math.quad_in_out(t), math.quad_out_in(t)
   528→math.cubic_in(t), math.cubic_out(t), math.cubic_in_out(t), math.cubic_out_in(t)
   529→math.quart_in(t), math.quart_out(t), math.quart_in_out(t), math.quart_out_in(t)
   530→math.quint_in(t), math.quint_out(t), math.quint_in_out(t), math.quint_out_in(t)
   531→math.expo_in(t), math.expo_out(t), math.expo_in_out(t), math.expo_out_in(t)
   532→math.circ_in(t), math.circ_out(t), math.circ_in_out(t), math.circ_out_in(t)
   533→math.bounce_in(t), math.bounce_out(t), math.bounce_in_out(t), math.bounce_out_in(t)
   534→math.back_in(t), math.back_out(t), math.back_in_out(t), math.back_out_in(t)
   535→math.elastic_in(t), math.elastic_out(t), math.elastic_in_out(t), math.elastic_out_in(t)
   536→```
   537→
   538→## Array Utilities
   539→

The file E:\a327ex\emoji-ball-battles\docs\FRAMEWORK_API_QUICK.md has been updated successfully.

1651:math.clamp value, 0, 100     -- keep in range
1652-math.loop angle, 2 * math.pi -- wrap to range
1653-```
1654-
1655----
1656-
1657-### Easing Functions
1658-
1659-All take t (0-1) and return transformed t:
1660-
1661-```yuescript
1662-math.linear(t)
1663-math.sine_in(t), math.sine_out(t), math.sine_in_out(t), math.sine_out_in(t)
1664-math.quad_in(t), math.quad_out(t), math.quad_in_out(t), math.quad_out_in(t)
1665-math.cubic_in(t), math.cubic_out(t), math.cubic_in_out(t), math.cubic_out_in(t)
1666-math.quart_in(t), math.quart_out(t), math.quart_in_out(t), math.quart_out_in(t)
1667-math.quint_in(t), math.quint_out(t), math.quint_in_out(t), math.quint_out_in(t)
1668-math.expo_in(t), math.expo_out(t), math.expo_in_out(t), math.expo_out_in(t)
1669-math.circ_in(t), math.circ_out(t), math.circ_in_out(t), math.circ_out_in(t)
1670-math.bounce_in(t), math.bounce_out(t), math.bounce_in_out(t), math.bounce_out_in(t)
1671-math.back_in(t), math.back_out(t), math.back_in_out(t), math.back_out_in(t)

1640→
  1641→-- Angle interpolation (shortest path)
  1642→math.lerp_angle 0.5, 0, math.pi          -- pi/2
  1643→math.lerp_angle_dt 0.9, 1, dt, angle, target_angle
  1644→```
  1645→
  1646→---
  1647→
  1648→### Utility
  1649→
  1650→```yuescript
  1651→math.clamp value, 0, 100     -- keep in range
  1652→math.loop angle, 2 * math.pi -- wrap to range
  1653→```
  1654→
  1655→---
  1656→
  1657→### Easing Functions
  1658→
  1659→All take t (0-1) and return transformed t:
  1660→
  1661→```yuescript
  1662→math.linear(t)
  1663→math.sine_in(t), math.sine_out(t), math.sine_in_out(t), math.sine_out_in(t)
  1664→math.quad_in(t), math.quad_out(t), math.quad_in_out(t), math.quad_out_in(t)
  1665→math.cubic_in(t), math.cubic_out(t), math.cubic_in_out(t), math.cubic_out_in(t)
  1666→math.quart_in(t), math.quart_out(t), math.quart_in_out(t), math.quart_out_in(t)
  1667→math.quint_in(t), math.quint_out(t), math.quint_in_out(t), math.quint_out_in(t)
  1668→math.expo_in(t), math.expo_out(t), math.expo_in_out(t), math.expo_out_in(t)
  1669→math.circ_in(t), math.circ_out(t), math.circ_in_out(t), math.circ_out_in(t)

The file E:\a327ex\emoji-ball-battles\docs\FRAMEWORK_API.md has been updated successfully.

150→
   151→  Returns: clamped value
   152→]]
   153→math.clamp = (value, min, max) ->
   154→  if value < min then min
   155→  elseif value > max then max
   156→  else value
   157→
   158→--[[
   159→  Remaps a value from one range to another.
   160→
   161→  Usage:
   162→    math.remap 10, 0, 20, 0, 1       -> 0.5 (10 is 50% of [0, 20], maps to 50% of [0, 1])
   163→    math.remap 3, 0, 3, 0, 100      -> 100
   164→    math.remap 2.5, -5, 5, -100, 100 -> 50
   165→    math.remap -10, 0, 10, 0, 1000  -> -1000 (extrapolates outside range)
   166→
   167→  Parameters:
   168→    value   - Value to remap
   169→    old_min - Original range minimum
   170→    old_max - Original range maximum
   171→    new_min - Target range minimum
   172→    new_max - Target range maximum
   173→
   174→  Returns: value mapped from old range to new range
   175→
   176→  Behavior:
   177→    - Does not clamp: values outside old range will extrapolate
   178→    - To clamp, combine with math.clamp on input or output
   179→]]
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