import numpy as np
from shapely.geometry import Polygon, MultiPolygon

def calculate_nfp(poly_a, poly_b):
    """计算两个多边形的不适合多边形(NFP)"""
    # 这里简化实现，实际NFP计算更复杂
    nfp = poly_a.buffer(1.0).difference(poly_b)
    return nfp

def pack_polygons(polygons, container_width, container_height):
    container = Polygon([
        (0, 0), 
        (container_width, 0), 
        (container_width, container_height), 
        (0, container_height)
    ])
    
    placed = []
    for poly in polygons:
        best_pos = None
        best_score = float('inf')
        
        # 尝试不同旋转角度(简化示例只考虑0度和90度)
        for angle in [0, 90]:
            rotated = rotate_polygon(poly, angle)
            
            # 尝试不同位置
            for x in np.linspace(0, container_width, 10):
                for y in np.linspace(0, container_height, 10):
                    translated = translate_polygon(rotated, x, y)
                    
                    # 检查是否在容器内且不与其他多边形重叠
                    if container.contains(translated):
                        overlap = False
                        for placed_poly in placed:
                            if translated.intersects(placed_poly):
                                overlap = True
                                break
                        
                        if not overlap:
                            # 计算评价分数(这里简单使用y坐标)
                            score = translated.bounds[1]
                            if score < best_score:
                                best_score = score
                                best_pos = translated
        
        if best_pos:
            placed.append(best_pos)
    
    return placed

def rotate_polygon(poly, angle):
    """旋转多边形(简化实现)"""
    # 实际实现需要考虑旋转中心等
    return poly

def translate_polygon(poly, x, y):
    """平移多边形(简化实现)"""
    # 实际实现需要考虑坐标变换
    return poly