# Core Module Documentation

## Overview

The `core/` directory contains the fundamental systems for the idle game. It provides:

- **Numeric Foundation**: `BigNumber` for handling huge idle game values
- **Game State Management**: `LevelGameState` for all persistent state
- **Currency System**: `CurrencyCatalogue` and tracking for multiple currency types
- **Generator System**: Automated resource production with scaling costs
- **Buff System**: Upgrades that modify generator behavior
- **Goal System**: Achievement tracking and unlock triggers
- **Prestige System**: Rebirth mechanics with permanent multipliers
- **Research System**: XP-based progression with production multipliers

## Architecture

```
core/
├── big_number.gd           # Core numeric API
├── level_game_state.gd     # Main state management (Node)
├── currency/               # Currency data structures + CurrencyCatalogue
├── currency_catalogue.gd   # Currency catalogue resource
├── buff_catalogue.gd       # Buff catalogue resource
├── goal_catalogue.gd       # Goal catalogue resource
├── generator/              # Generator logic and data
├── goals/                  # Goal/achievement system
├── prestige/               # Prestige/rebirth system
└── research/               # Research XP and progression
```

## Data Flow

1. **Game Start**: `LevelGameState._ready()` initializes currencies, loads save
2. **Player Action**: Generator bought → `LevelGameState` updated → signals emitted
3. **UI Reaction**: Listeners respond to signals → update display
4. **Goal Check**: Currency changed → goals evaluated → buffs unlocked
5. **Save**: `LevelGameState.save_game()` → JSON to `user://level_save.json`

## Production Multiplier Chain

All multipliers compose multiplicatively from callee to caller. The entry point is
`_grant_cycle_income()` in `CurrencyGenerator`.

### Entry: `CurrencyGenerator._grant_cycle_income()` (`currency_generator.gd:134`)

```
var effective = get_effective_auto_run_multiplier()
var per_cycle = data.production_per_cycle(owned, effective, purchased_count)
var produced  = per_cycle × cycle_count
```

### Layer 1 — `CurrencyGeneratorData.production_per_cycle()` (`currency_generator_data.gd:117`)

```
production_per_cycle = initial_productivity × owned × run_multiplier × milestone_mult × purchased_mult
```

| Sub-multiplier | Method | Formula |
|---|---|---|
| **milestone_mult** | `milestone_multiplier_total(owned)` | `milestone_multiplier ^ floor(owned / milestone_step)` |
| **purchased_mult** | `purchased_multiplier(purchased)` | `1.0 + purchased × (purchased_boost_percent / 100)` |

### Layer 2 — `CurrencyGenerator.get_effective_auto_run_multiplier()` (`currency_generator.gd:357`)

This is the `run_multiplier` value passed into Layer 1 above:

```
effective_run_multiplier = run_multiplier × research_multiplier × auto_production_buffs × prestige_multiplier
```

#### 2a. `run_multiplier`

Exported `float` on the `CurrencyGenerator` node. Default `1.0`. A scene-level tweak.

#### 2b. `research_multiplier` → `LevelGameState.get_research_multiplier(id)` (`level_game_state.gd:488`) → `ResearchData.get_multiplier_for_level(level)` (`research/research_data.gd:52`)

```
research_multiplier = base_multiplier + (multiplier_per_level × research_level)
```

Level is auto-calculated from accumulated BigNumber XP. Both constants are exports on `ResearchData`.

#### 2c. `auto_production_buffs` → `LevelGameState.get_effective_multiplier(generator_id, AUTO_PRODUCTION_MULTIPLIER)` (`level_game_state.gd:441`)

```gdscript
# For every active buff of kind AUTO_PRODUCTION_MULTIPLIER targeting this generator:
mult = 1.0
for buff in buffs:
	if buff.active and buff.kind == AUTO_PRODUCTION_MULTIPLIER:
		mult *= buff.get_effect_multiplier(level)
```

`GeneratorBuffData.get_effect_multiplier(level)` (`generator_buff_data.gd:97`):

```
buff_effect = base_effect + (effect_increment × level)
```

Multiple buffs of the same kind stack **multiplicatively**: `∏ (base_effect_i + increment_i × level_i)`.

#### 2d. `prestige_multiplier` → `PrestigeManager.get_total_multiplier()` (`prestige_manager.gd:107`)

Configured via `PrestigeConfig.multiplier_mode`:

| Mode | Formula |
|---|---|
| `ADDITIVE` | `base + prestige_points × multiplier_per_prestige` |
| `MULTIPLICATIVE_POWER` | `base × (1 + multiplier_per_prestige) ^ (prestige_points ^ exponent)` |

### Layer 3 — Production per second

```
production_per_second = production_per_cycle / maxf(initial_time, 0.0001)
```

(`currency_generator_data.gd:128`)

### Full Formula (one production cycle)

```
produced = initial_productivity × owned

		 # --- effective_run_multiplier ---
		 × run_multiplier
		 × (base_multiplier + multiplier_per_level × research_level)
		 × ∏(base_effect_i + effect_increment_i × buff_level_i)   [auto-production buffs]
		 × prestige_multiplier                                      [from PrestigeManager]

		 # --- milestone & purchased ---
		 × milestone_multiplier ^ floor(owned / milestone_step)
		 × (1.0 + purchased_count × purchased_boost_percent / 100)
```

### Manual Click Formula (separate path)

`_try_grant_click_currency()` (`currency_generator.gd:460`):

```
click_reward = (click_mantissa × 10^click_exponent) × ∏ buff_effect_i   [MANUAL_CLICK_MULTIPLIER buffs]
```

Uses the same `get_effective_multiplier()` loop filtered to `BuffKind.MANUAL_CLICK_MULTIPLIER`.
Research, prestige, milestone, and purchased multipliers are **not** applied to clicks.

### Research XP Awarded (production side-effect)

Awarded inside `_grant_cycle_income()` when the generator has an associated `ResearchData`:

```
base_xp   = produced_currency × xp_per_currency_produced
scaled_xp = base_xp × (1.0 + research_workers × worker_scaling_factor)
actual_xp = scaled_xp × ∏ buff_effect_i                              [RESEARCH_XP_MULTIPLIER buffs]
```

Buff multiplier for XP is applied later in `LevelGameState.add_research_xp()`
via `ResearchBuffCalculator.apply_buffs()` (`core/generator/research_buff_calculator.gd`).

### Cascade Diagram

```
					┌─────────────────────────────────┐
					│  run_multiplier (node export)   │
					│  research_multiplier (XP level) │─── effective_run_multiplier ──┐
					│  auto-production buffs (∏)      │                               │
					│  prestige_multiplier            │                               │
					└─────────────────────────────────┘                               │
																					   ▼
production_per_cycle = initial_productivity × owned × effective_run_multiplier × milestone × purchased
																					   │
																					   ▼
production_per_second = production_per_cycle / initial_time
```

## Save Format

**Version**: 5

```json
{
  "save_format_version": 5,
  "currencies": {
	"<currency_id>": {
	  "current": {"m": float, "e": int},
	  "total": {"m": float, "e": int},
	  "all_time": {"m": float, "e": int}
	}
  },
  "generator_states": {
	"<generator_id>": {
	  "owned": int,
	  "purchased_count": int,
	  "unlocked": bool,
	  "available": bool
	}
  },
  "buff_levels": {
	"<buff_id>": int
  },
  "buff_unlocked": {
	"<buff_id>": true
  },
  "buff_active": {
	"<buff_id>": true
  },
  "goals": {
	"completed": ["<goal_id>", ...]
  },
  "research_xp": {
	"<research_id>": {"m": float, "e": int}
  },
  "research_levels": {
	"<research_id>": int
  },
  "last_save_time": unix_timestamp
}
```

## Key Signals

| Signal | Emitted When |
|--------|--------------|
| `currency_changed(currency_id, new_amount)` | Any currency balance changes |
| `generator_state_changed(generator_id, state)` | Generator owned/unlocked changes |
| `generator_buff_level_changed(gen_id, buff_id, level)` | Buff level increased |
| `buff_unlocked_changed(buff_id, unlocked)` | Buff unlock state changed |
| `goal_completed(goal_id)` | Goal criteria met |

## BigNumber Serialization

All large numbers use scientific notation internally:
```gdscript
# Value = mantissa * 10^exponent
var num = BigNumber.new(1.5, 24)  # 1.5e24
var dict = num.serialize()         # {"m": 1.5, "e": 24}
var restored = BigNumber.deserialize(dict)
```

## Extending the Core

### Adding a New Currency
1. Create `res://sandbox/currencies/<name>.tres` extending `Currency`
2. Set `id`, `display_name`, and `icon`
3. Add to `CurrencyCatalogue` resource assigned to `LevelGameState`

### Adding a New Generator
1. Create `res://sandbox/generators/<name>.tres` extending `CurrencyGeneratorData`
2. Configure costs, production, and unlock goals
3. Instance `CurrencyGenerator` scene with this data

### Adding a New Buff
1. Create `res://sandbox/buffs/<name>.tres` extending `GeneratorBuffData`
2. Set `target_ids`, `kind`, `effect_increment`, and `cost`
3. Add to `BuffCatalogue` resource assigned to `LevelGameState`

### Adding New Research
1. Create `res://sandbox/research/<name>.tres` extending `ResearchData`
2. Link to a generator via `generator_id`
3. Add to `ResearchCatalogue` resource assigned to `LevelGameState`

## See Also

- `currency/` - Currency data structures
- `generator/` - Generator production system
- `goals/` - Achievement system
- `prestige/` - Rebirth mechanics