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# MathLib.py, generic math library wrapper by Reinier Heeres <reinier@heeres.eu>
#
# This program is free software; you can redistribute it and/or modify
# it under the terms of the GNU General Public License as published by
# the Free Software Foundation; either version 2 of the License, or
# (at your option) any later version.
#
# This program is distributed in the hope that it will be useful,
# but WITHOUT ANY WARRANTY; without even the implied warranty of
# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
# GNU General Public License for more details.
#
# You should have received a copy of the GNU General Public License
# along with this program; if not, write to the Free Software
# Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA
#
# Change log:
# 2007-07-03: rwh, first version
import types
import math
from decimal import Decimal
import logging
_logger = logging.getLogger('calc-activity')
class MathLib:
ANGLE_DEG = math.pi/180
ANGLE_RAD = 1
ANGLE_GRAD = 1
def __init__(self):
self.constants = {}
self.set_angle_type(self.ANGLE_DEG)
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_angle_type(self, type):
self.angle_scaling = self.d(type)
_logger.debug('Angle type set to:%s',self.angle_scaling)
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 = '%.10e' % val
d = Decimal(s)
return d.normalize()
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'
elif type(n) is types.NoneType:
return 'Error'
elif not isinstance(n, Decimal):
return 'Error (no Decimal object)'
(sign, digits, exp) = n.as_tuple()
if len(digits) > 9:
exp += len(digits) - 9
digits = digits[:9]
if sign:
res = "-"
else:
res = ""
int_len = len(digits) + exp
if int_len == 0:
if exp < -5:
disp_exp = exp +len(digits)
else:
disp_exp = 0
elif 0 < int_len < 6:
disp_exp = 0
else:
disp_exp = int_len - 1
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 len(digits) < dot_pos:
for i in xrange(len(digits), dot_pos):
res += '0'
if disp_exp != 0:
res = res + 'e%d' % disp_exp
print 'fn: %r into %r' % (n, res)
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):
if y == 0:
return None
else:
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 * self.angle_scaling))
def cos(self, x):
_logger.debug('cos: x=%s, angle_scaling=%s', x, self.angle_scaling)
return self.d(math.cos(x * self.angle_scaling))
def tan(self, x):
return self.d(math.tan(x * self.angle_scaling))
def asin(self, x):
return self.d(math.asin(x)) / self.angle_scaling
def acos(self, x):
return self.d(math.acos(x)) / self.angle_scaling
def atan(self, x):
return self.d(math.atan(x)) / self.angle_scaling
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))
def round(self, x):
return self.d(round(x))
def floor(self, x):
return self.d(math.floor(x))
def ceil(self, x):
return self.d(math.ceil(x))
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