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"""
์ง€๋ฆฌ ๊ณ„์‚ฐ ์œ ํ‹ธ๋ฆฌํ‹ฐ
Haversine ๊ณต์‹ ๊ธฐ๋ฐ˜ ์ขŒํ‘œ ๊ฐ„ ์ง์„ ๊ฑฐ๋ฆฌ ๊ณ„์‚ฐ.
ํ”„๋กœ์ ํŠธ ์ „์ฒด์—์„œ ๋‹จ์ผ ๊ตฌํ˜„์„ ๊ณต์œ ํ•ฉ๋‹ˆ๋‹ค.
"""
from math import radians, sin, cos, sqrt, atan2
EARTH_RADIUS_KM = 6371.0
def haversine(lat1: float, lng1: float, lat2: float, lng2: float) -> float:
"""๋‘ ์ขŒํ‘œ ๊ฐ„ ์ง์„ ๊ฑฐ๋ฆฌ (km) - Haversine ๊ณต์‹"""
d_lat = radians(lat2 - lat1)
d_lng = radians(lng2 - lng1)
a = sin(d_lat / 2) ** 2 + cos(radians(lat1)) * cos(radians(lat2)) * sin(d_lng / 2) ** 2
return EARTH_RADIUS_KM * 2 * atan2(sqrt(a), sqrt(1 - a))