def change_rule_to_math_inteval(rule):
rule = rule.replace(' ', '')
first_char = rule[0:1]
last_char = rule[-1:]
mid_str = rule[1:-1]
try:
upper_value = float(mid_str.split(',')[1])
except:
upper_value = float('inf')
try:
lower_value = float(mid_str.split(',')[0])
except:
lower_value = float('-inf')
low_closed = True
up_closed = True
if first_char == '(' or first_char == '（':
low_closed = False
if last_char == ')' or last_char == '）':
up_closed = False
intev = Interval(lower_bound=lower_value, upper_bound=upper_value)
intev.lower_closed = low_closed
intev.upper_closed = up_closed
return intev
