问题描述:
Write a function to calculate a grid of hexagon coordinates where function returns a list of lists containing 6 tuples of x, y point coordinates.

测试用例:
['assert calculate_polygons(1,1, 4, 4, 3)==[[(-5.0, -4.196152422706632), (-5.0, -0.7320508075688767), (-2.0, 1.0), (1.0, -0.7320508075688767), (1.0, -4.196152422706632), (-2.0, -5.928203230275509), (-5.0, -4.196152422706632)], [(1.0, -4.196152422706632), (1.0, -0.7320508075688767), (4.0, 1.0), (7.0, -0.7320508075688767), (7.0, -4.196152422706632), (4.0, -5.928203230275509), (1.0, -4.196152422706632)], [(7.0, -4.196152422706632), (7.0, -0.7320508075688767), (10.0, 1.0), (13.0, -0.7320508075688767), (13.0, -4.196152422706632), (10.0, -5.928203230275509), (7.0, -4.196152422706632)], [(-2.0, 1.0000000000000004), (-2.0, 4.464101615137755), (1.0, 6.196152422706632), (4.0, 4.464101615137755), (4.0, 1.0000000000000004), (1.0, -0.7320508075688767), (-2.0, 1.0000000000000004)], [(4.0, 1.0000000000000004), (4.0, 4.464101615137755), (7.0, 6.196152422706632), (10.0, 4.464101615137755), (10.0, 1.0000000000000004), (7.0, -0.7320508075688767), (4.0, 1.0000000000000004)], [(-5.0, 6.196152422706632), (-5.0, 9.660254037844387), (-2.0, 11.392304845413264), (1.0, 9.660254037844387), (1.0, 6.196152422706632), (-2.0, 4.464101615137755), (-5.0, 6.196152422706632)], [(1.0, 6.196152422706632), (1.0, 9.660254037844387), (4.0, 11.392304845413264), (7.0, 9.660254037844387), (7.0, 6.196152422706632), (4.0, 4.464101615137755), (1.0, 6.196152422706632)], [(7.0, 6.196152422706632), (7.0, 9.660254037844387), (10.0, 11.392304845413264), (13.0, 9.660254037844387), (13.0, 6.196152422706632), (10.0, 4.464101615137755), (7.0, 6.196152422706632)], [(-2.0, 11.392304845413264), (-2.0, 14.85640646055102), (1.0, 16.588457268119896), (4.0, 14.85640646055102), (4.0, 11.392304845413264), (1.0, 9.660254037844387), (-2.0, 11.392304845413264)], [(4.0, 11.392304845413264), (4.0, 14.85640646055102), (7.0, 16.588457268119896), (10.0, 14.85640646055102), (10.0, 11.392304845413264), (7.0, 9.660254037844387), (4.0, 11.392304845413264)]]', 'assert calculate_polygons(5,4,7,9,8)==[[(-11.0, -9.856406460551018), (-11.0, -0.6188021535170058), (-3.0, 4.0), (5.0, -0.6188021535170058), (5.0, -9.856406460551018), (-3.0, -14.475208614068023), (-11.0, -9.856406460551018)], [(5.0, -9.856406460551018), (5.0, -0.6188021535170058), (13.0, 4.0), (21.0, -0.6188021535170058), (21.0, -9.856406460551018), (13.0, -14.475208614068023), (5.0, -9.856406460551018)], [(21.0, -9.856406460551018), (21.0, -0.6188021535170058), (29.0, 4.0), (37.0, -0.6188021535170058), (37.0, -9.856406460551018), (29.0, -14.475208614068023), (21.0, -9.856406460551018)], [(-3.0, 4.0), (-3.0, 13.237604307034012), (5.0, 17.856406460551018), (13.0, 13.237604307034012), (13.0, 4.0), (5.0, -0.6188021535170058), (-3.0, 4.0)], [(13.0, 4.0), (13.0, 13.237604307034012), (21.0, 17.856406460551018), (29.0, 13.237604307034012), (29.0, 4.0), (21.0, -0.6188021535170058), (13.0, 4.0)], [(-11.0, 17.856406460551018), (-11.0, 27.09401076758503), (-3.0, 31.712812921102035), (5.0, 27.09401076758503), (5.0, 17.856406460551018), (-3.0, 13.237604307034012), (-11.0, 17.856406460551018)], [(5.0, 17.856406460551018), (5.0, 27.09401076758503), (13.0, 31.712812921102035), (21.0, 27.09401076758503), (21.0, 17.856406460551018), (13.0, 13.237604307034012), (5.0, 17.856406460551018)], [(21.0, 17.856406460551018), (21.0, 27.09401076758503), (29.0, 31.712812921102035), (37.0, 27.09401076758503), (37.0, 17.856406460551018), (29.0, 13.237604307034012), (21.0, 17.856406460551018)], [(-3.0, 31.712812921102035), (-3.0, 40.95041722813605), (5.0, 45.569219381653056), (13.0, 40.95041722813605), (13.0, 31.712812921102035), (5.0, 27.09401076758503), (-3.0, 31.712812921102035)], [(13.0, 31.712812921102035), (13.0, 40.95041722813605), (21.0, 45.569219381653056), (29.0, 40.95041722813605), (29.0, 31.712812921102035), (21.0, 27.09401076758503), (13.0, 31.712812921102035)]]', 'assert calculate_polygons(9,6,4,3,2)==[[(5.0, 2.5358983848622456), (5.0, 4.8452994616207485), (7.0, 6.0), (9.0, 4.8452994616207485), (9.0, 2.5358983848622456), (7.0, 1.3811978464829942), (5.0, 2.5358983848622456)], [(7.0, 6.0), (7.0, 8.309401076758503), (9.0, 9.464101615137753), (11.0, 8.309401076758503), (11.0, 6.0), (9.0, 4.8452994616207485), (7.0, 6.0)]]']

生成的代码:
import math

def calculate_polygons(start_x, start_y, rows, cols, size):
    hexagons = []
    
    for row in range(rows):
        for col in range(cols):
            x_offset = col * 3 * size
            y_offset = row * math.sqrt(3) * size
            
            if col % 2 == 1:
                y_offset += (math.sqrt(3) / 2) * size
            
            # Calculate the vertices of the hexagon
            hexagon = []
            for i in range(6):
                angle = math.radians(60 * i)
                x = start_x + x_offset + size * math.cos(angle)
                y = start_y + y_offset + size * math.sin(angle)
                hexagon.append((x, y))
                
            hexagons.append(hexagon)
    
    return hexagons