import re
import math

#将弧度转换为度分秒
def rad2dms(r):
	d = r * 180 / math.pi
	m = (d - int(d)) * 60
	d = int(d)
	s = (m - int(m)) * 60
	m = int(m)
	return d, m, s

#将度分秒转换为弧度
def dms2rad(d, m, s):
	return (d + m / 60 + s / 360) / 180 * math.pi

class string:
	dtype = str
	def __init__(self):
		pass
	def str2val(self, s):
		return s
	def val2str(self, v):
		return v

class integer:
	dtype = int
	def __init__(self, fmt = "%d"):
		self.fmt = fmt
	def str2val(self, s):
		s = s.strip()
		if not s:
			return None
		try:
			v = int(s)
		except:
			v = int(float(s))
		return v
	def val2str(self, v):
		return self.fmt % v

class decimal:
	dtype = float
	def __init__(self, fmt = "%.3f", epsilon = 1e-4):
		self.fmt = fmt
		self.epsilon = epsilon
	def str2val(self, s):
		s = s.strip()
		if not s:
			return None
		return float(s)
	def val2str(self, v):
		if abs(v) < self.epsilon:
			v = 0.0
		return self.fmt % v

class kdecimal:
	dtype = float
	def __init__(self, fmt = "%07.3f", epsilon = 1e-4):
		self.fmt = fmt
		self.epsilon = epsilon
	def str2val(self, s):
		s = s.strip()
		if not s:
			return None
		match = re.match(r"[kK](\d+)\+(\d+(?:\.\d+)?)", s)
		if match is None:
			raise RuntimeError(f"pattern not matched: {s}")
		a = match.group(1)
		b = match.group(2)
		return float(a + b)
	def val2str(self, v):
		a = v // 1000
		b = v % 1000
		if abs(b - 1000) < self.epsilon:
			a += 1
			b = 0.0
		elif abs(b) < self.epsilon:
			b = 0.0
		return f"K%d+{self.fmt}" % (a, b)

class angle:
	dtype = float
	def __init__(self):
		pass
	def str2val(self, s):
		s = s.strip()
		if not s:
			return None
		match = re.match(r"(\d+)°(\d+)′(\d+(?:\.\d+)?)″", s)
		if match is None:
			raise RuntimeError(f"pattern not matched: {s}")
		d = int(match.group(1))
		m = int(match.group(2))
		s = float(match.group(3))
		return dms2rad(d, m, s)
	def val2str(self, v):
		return "%2d°%02d′%05.2f″" % rad2dms(v)