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"""
Geo-Lab AI Engine: ๊ธฐ๋ณธ ์ง€ํ˜• ํด๋ž˜์Šค
"""
import numpy as np
from dataclasses import dataclass, field
from typing import Optional, Tuple


@dataclass
class Terrain:
    """2D ๋†’์ด๋งต ๊ธฐ๋ฐ˜ ์ง€ํ˜• ๋ฐ์ดํ„ฐ ๊ตฌ์กฐ"""
    
    width: int = 100          # X ๋ฐฉํ–ฅ ์…€ ์ˆ˜
    height: int = 100         # Y ๋ฐฉํ–ฅ ์…€ ์ˆ˜
    cell_size: float = 10.0   # ์…€๋‹น ์‹ค์ œ ๊ฑฐ๋ฆฌ (m)
    
    # ๋†’์ด๋งต (m)
    elevation: np.ndarray = field(default=None)
    
    # ์•”์„ ์†์„ฑ
    rock_hardness: np.ndarray = field(default=None)  # 0-1, 1์ด ๊ฐ€์žฅ ๋‹จ๋‹จํ•จ
    
    def __post_init__(self):
        if self.elevation is None:
            self.elevation = np.zeros((self.height, self.width))
        if self.rock_hardness is None:
            self.rock_hardness = np.ones((self.height, self.width)) * 0.5
    
    @classmethod
    def create_slope(cls, width: int, height: int, 
                     max_elevation: float = 1000.0,
                     slope_direction: str = 'south') -> 'Terrain':
        """๊ฒฝ์‚ฌ๋ฉด ์ง€ํ˜• ์ƒ์„ฑ"""
        terrain = cls(width=width, height=height)
        
        if slope_direction == 'south':
            # ๋ถ์ชฝ์ด ๋†’๊ณ  ๋‚จ์ชฝ์ด ๋‚ฎ์Œ
            for y in range(height):
                terrain.elevation[y, :] = max_elevation * (1 - y / height)
        elif slope_direction == 'east':
            for x in range(width):
                terrain.elevation[:, x] = max_elevation * (1 - x / width)
        
        return terrain
    
    @classmethod
    def create_v_valley_initial(cls, width: int = 100, height: int = 100,
                                 valley_depth: float = 50.0) -> 'Terrain':
        """V์ž๊ณก ์‹œ๋ฎฌ๋ ˆ์ด์…˜ ์ดˆ๊ธฐ ์ง€ํ˜•"""
        terrain = cls(width=width, height=height)
        
        # ๊ธฐ๋ณธ ๊ฒฝ์‚ฌ (๋ถโ†’๋‚จ)
        for y in range(height):
            terrain.elevation[y, :] = 500 * (1 - y / height)
        
        # ์ค‘์•™์— ์ดˆ๊ธฐ ํ•˜์ฒœ ์ฑ„๋„ (์•ฝ๊ฐ„์˜ ํŒจ์ž„)
        center = width // 2
        for x in range(width):
            dist = abs(x - center)
            if dist < 5:
                terrain.elevation[:, x] -= valley_depth * (1 - dist / 5)
        
        return terrain
    
    def get_slope(self) -> np.ndarray:
        """๊ฐ ์…€์˜ ๊ฒฝ์‚ฌ๋„ ๊ณ„์‚ฐ (๋ผ๋””์•ˆ)"""
        dy, dx = np.gradient(self.elevation, self.cell_size)
        return np.arctan(np.sqrt(dx**2 + dy**2))
    
    def get_flow_direction(self) -> Tuple[np.ndarray, np.ndarray]:
        """๋ฌผ ํ๋ฆ„ ๋ฐฉํ–ฅ ๋ฒกํ„ฐ (๊ฐ€์žฅ ๊ฐ€ํŒŒ๋ฅธ ํ•˜๊ฐ• ๋ฐฉํ–ฅ)"""
        dy, dx = np.gradient(self.elevation, self.cell_size)
        magnitude = np.sqrt(dx**2 + dy**2) + 1e-10
        return -dx / magnitude, -dy / magnitude


@dataclass 
class Water:
    """ํ•˜์ฒœ ์ˆ˜๋ฌธ ๋ฐ์ดํ„ฐ"""
    
    terrain: Terrain
    
    # ๊ฐ ์…€์˜ ์ˆ˜๋Ÿ‰ (mยณ/s)
    discharge: np.ndarray = field(default=None)
    
    # ์œ ์† (m/s)
    velocity: np.ndarray = field(default=None)
    
    # ํ๋ฆ„ ๋ฐฉํ–ฅ (๋‹จ์œ„ ๋ฒกํ„ฐ)
    flow_x: np.ndarray = field(default=None)
    flow_y: np.ndarray = field(default=None)
    
    def __post_init__(self):
        shape = (self.terrain.height, self.terrain.width)
        if self.discharge is None:
            self.discharge = np.zeros(shape)
        if self.velocity is None:
            self.velocity = np.zeros(shape)
        if self.flow_x is None:
            self.flow_x, self.flow_y = self.terrain.get_flow_direction()
    
    def add_precipitation(self, rate: float = 0.001):
        """๊ฐ•์ˆ˜ ์ถ”๊ฐ€ (m/s per cell)"""
        self.discharge += rate
    
    def accumulate_flow(self):
        """ํ๋ฆ„ ๋ˆ„์  ๊ณ„์‚ฐ (๊ฐ„๋‹จํ•œ D8 ์•Œ๊ณ ๋ฆฌ์ฆ˜)"""
        h, w = self.terrain.height, self.terrain.width
        accumulated = self.discharge.copy()
        
        # ๋†’์€ ๊ณณ์—์„œ ๋‚ฎ์€ ๊ณณ์œผ๋กœ ์ •๋ ฌ
        indices = np.argsort(self.terrain.elevation.ravel())[::-1]
        
        for idx in indices:
            y, x = idx // w, idx % w
            if accumulated[y, x] <= 0:
                continue
            
            # ๊ฐ€์žฅ ๋‚ฎ์€ ์ด์›ƒ ์ฐพ๊ธฐ
            min_elev = self.terrain.elevation[y, x]
            min_neighbor = None
            
            for dy, dx in [(-1,0), (1,0), (0,-1), (0,1)]:
                ny, nx = y + dy, x + dx
                if 0 <= ny < h and 0 <= nx < w:
                    if self.terrain.elevation[ny, nx] < min_elev:
                        min_elev = self.terrain.elevation[ny, nx]
                        min_neighbor = (ny, nx)
            
            if min_neighbor:
                accumulated[min_neighbor] += accumulated[y, x]
        
        self.discharge = accumulated
        
        # ์œ ์† ๊ณ„์‚ฐ (Manning ๋ฐฉ์ •์‹ ๋‹จ์ˆœํ™”)
        slope = self.terrain.get_slope() + 0.001  # 0 ๋ฐฉ์ง€
        self.velocity = 2.0 * np.sqrt(slope) * np.power(self.discharge + 0.1, 0.4)


@dataclass
class SimulationState:
    """์‹œ๋ฎฌ๋ ˆ์ด์…˜ ์ƒํƒœ ๊ด€๋ฆฌ"""
    
    terrain: Terrain
    water: Water
    
    time_step: float = 1.0  # ์‹œ๋ฎฌ๋ ˆ์ด์…˜ 1์Šคํ… = 1๋…„
    current_time: float = 0.0
    
    # ์ „์—ญ ๋ณ€์ˆ˜ (Master Plan์˜ Global Controllers)
    climate_level: float = 1.0      # ๊ธฐํ›„ (๊ฐ•์ˆ˜๋Ÿ‰ ๊ณ„์ˆ˜)
    sea_level: float = 0.0          # ํ•ด์ˆ˜๋ฉด (m)
    tectonic_energy: float = 0.0    # ์ง€๊ฐ ์—๋„ˆ์ง€ (์œต๊ธฐ์œจ m/year)
    
    def step(self):
        """1 ํƒ€์ž„์Šคํ… ์ง„ํ–‰"""
        self.current_time += self.time_step
        
        # ๊ฐ•์ˆ˜ ์ถ”๊ฐ€
        self.water.add_precipitation(rate=0.001 * self.climate_level)
        
        # ํ๋ฆ„ ๋ˆ„์ 
        self.water.accumulate_flow()