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#MathLib.py
import types
import math
from decimal import Decimal
class MathLib:
def __init__(self):
self.constants = {}
self.set_constant('true', True)
self.set_constant('false', False)
self.set_constant('pi', self.parse_number('3.14'))
self.set_constant('kb', self.parse_number('0'))
self.set_constant('Na', self.parse_number('6.02214e23'))
self.set_constant('e', self.exp(1))
self.set_constant('c', self.parse_number('3e8'))
self.set_constant('c_e', self.parse_number('0')) #electron properties
self.set_constant('m_e', self.parse_number('0'))
self.set_constant('c_p', self.parse_number('0')) #proton properties
self.set_constant('m_p', self.parse_number('0'))
self.set_constant('c_n', self.parse_number('0')) #neutron properties
self.set_constant('m_n', self.parse_number('0'))
def set_constant(self, name, val):
self.constants[name] = val
def get_constant(self, name):
if name in self.constants:
return self.constants[name]
else:
return None
def d(self, val):
s = '%e' % val
return Decimal(s)
def parse_number(self, s):
return Decimal(s)
def format_number(self, n):
if type(n) is types.BooleanType:
if n:
return 'True'
else:
return 'False'
(sign, digits, exp) = n.as_tuple()
if sign == '-':
res = "-"
else:
res = ""
int_len = len(digits) + exp
disp_exp = math.floor(int_len / 3) * 3
if disp_exp == 3:
disp_exp = 0
dot_pos = int_len - disp_exp
for i in xrange(len(digits)):
if i == dot_pos:
if i == 0:
res += '0.'
else:
res += '.'
res += str(digits[i])
if disp_exp != 0:
res = res + 'e%d' % disp_exp
return res
def is_int(self, n):
(sign, d, e) = n.normalize().as_tuple()
return e == 0
def is_float(self, n):
if isinstance(n, Decimal):
return not self.is_int(n)
else:
return False
def is_bool(self, n):
return type(n) is types.BoolType
def compare(self, x, y):
return x == y
def negate(self, x):
return -x
def abs(self, x):
return self.d(math.fabs(x))
def add(self, x, y):
return x + y
def sub(self, x, y):
return x - y
def mul(self, x, y):
return x * y
def div(self, x, y):
return x / y
def pow(self, x, y):
if self.is_int(y):
return x ** y
else:
return self.d(math.pow(x, y))
def sqrt(self, x):
return self.d(math.sqrt(x))
def mod(self, x, y):
if self.is_int(y):
return x % y
else:
return self.d(0)
def exp(self, x):
return self.d(math.exp(x))
def ln(self, x):
if x > 0:
return self.d(math.log(x))
else:
return 0
def log10(self, x):
if x > 0:
return self.d(math.log10(x))
else:
return 0
def factorial(self, n):
if not self.is_int(n):
return self.d(0)
res = n
while n > 2:
res *= n - 1
n -= 1
return res
def sin(self, x):
return self.d(math.sin(x))
def cos(self, x):
return self.d(math.cos(x))
def tan(self, x):
return self.d(math.tan(x))
def asin(self, x):
return self.d(math.asin(x))
def acos(self, x):
return self.d(math.acos(x))
def atan(self, x):
return self.d(math.atan(x))
def sinh(self, x):
return self.d(math.sinh(x))
def cosh(self, x):
return self.d(math.cosh(x))
def tanh(self, x):
return self.d(math.tanh(x))
def asinh(self, x):
return self.d(math.asinh(x))
def acosh(self, x):
return self.d(math.acosh(x))
def atanh(self, x):
return self.d(math.atanh(x))
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