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Limnoria/plugins/Math.py

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#!/usr/bin/env python
###
# Copyright (c) 2002, Jeremiah Fincher
# All rights reserved.
#
# Redistribution and use in source and binary forms, with or without
# modification, are permitted provided that the following conditions are met:
#
# * Redistributions of source code must retain the above copyright notice,
# this list of conditions, and the following disclaimer.
# * Redistributions in binary form must reproduce the above copyright notice,
# this list of conditions, and the following disclaimer in the
# documentation and/or other materials provided with the distribution.
# * Neither the name of the author of this software nor the name of
# contributors to this software may be used to endorse or promote products
# derived from this software without specific prior written consent.
#
# THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
# AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
# IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
# ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE
# LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
# CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
# SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
# INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
# CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
# ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
# POSSIBILITY OF SUCH DAMAGE.
###
"""
Various math-related commands.
"""
__revision__ = "$Id$"
from __future__ import division
import plugins
import re
import math
import cmath
import types
import string
from itertools import imap
import utils
import privmsgs
import callbacks
import convertcore
class Math(callbacks.Privmsg):
###
# So this is how the 'calc' command works:
# First, we make a nice little safe environment for evaluation; basically,
# the names in the 'math' and 'cmath' modules. Then, we remove the ability
# of a random user to get ints evaluated: this means we have to turn all
# int literals (even octal numbers and hexadecimal numbers) into floats.
# Then we delete all square brackets, underscores, and whitespace, so no
# one can do list comprehensions or call __...__ functions.
###
def base(self, irc, msg, args):
"""<fromBase> [<toBase>] <number>
Converts from base <fromBase> to base <toBase>. If <toBase> is left
out, it converts to decimal.
"""
(frm, to, number) = privmsgs.getArgs(args, required=2, optional=1)
if number == '':
number = to
to = '10'
try:
frm = int(frm)
to = int(to)
if not ((2 <= frm <= 36) and (2 <= to <= 36)):
raise ValueError
except ValueError:
irc.error('Bases must be an integer between 2 and 36.')
return
try:
irc.reply(self._convertBaseToBase(number, to, frm))
except ValueError:
irc.error('Invalid <number> for base %s: %s' % (frm, number))
def _convertDecimalToBase(self, number, base):
"""
Convert a decimal number to another base; returns a string.
"""
negative = False
if number < 0:
negative = True
number = -number
valStr = ''
if number == 0:
return '0'
while number != 0:
digit = number % base
if digit >= 10:
digit = string.uppercase[digit - 10]
else:
digit = str(digit)
valStr = digit + valStr
number = number // base
if negative:
return '-%s' % valStr
else:
return valStr
def _convertBaseToBase(self, number, toBase, fromBase):
"""
Convert a number from any base, 2 through 36, to any other
base, 2 through 36. Returns a string.
"""
number = long(str(number), fromBase)
if toBase == 10:
return str(number)
return self._convertDecimalToBase(number, toBase)
_mathEnv = {'__builtins__': types.ModuleType('__builtins__'), 'i': 1j}
_mathEnv.update(math.__dict__)
_mathEnv.update(cmath.__dict__)
def _sqrt(x):
if isinstance(x, complex) or x < 0:
return cmath.sqrt(x)
else:
return math.sqrt(x)
_mathEnv['sqrt'] = _sqrt
_mathRe = re.compile(r'((?:(?<![A-Fa-f\d)])-)?'
r'(?:0x[A-Fa-f\d]+|'
r'0[0-7]+|'
r'\d+\.\d+|'
r'\.\d+|'
r'\d+\.|'
r'\d+))')
def _floatToString(self, x):
if -1e-10 < x < 1e-10:
return '0'
elif -1e-10 < int(x) - x < 1e-10:
return str(int(x))
else:
return str(x)
def _complexToString(self, x):
realS = self._floatToString(x.real)
imagS = self._floatToString(x.imag)
if imagS == '0':
return realS
elif imagS == '1':
imagS = '+i'
elif imagS == '-1':
imagS = '-i'
elif x.imag < 0:
imagS = '%si' % imagS
else:
imagS = '+%si' % imagS
if realS == '0' and imagS == '0':
return '0'
elif realS == '0':
return imagS.lstrip('+')
elif imagS == '0':
return realS
else:
return '%s%s' % (realS, imagS)
def calc(self, irc, msg, args):
"""<math expression>
Returns the value of the evaluted <math expression>. The syntax is
Python syntax; the type of arithmetic is floating point. Floating
point arithmetic is used in order to prevent a user from being able to
crash to the bot with something like 10**10**10**10. One consequence
is that large values such as 10**24 might not be exact.
"""
text = privmsgs.getArgs(args)
if text != text.translate(string.ascii, '_[]'):
irc.error('There\'s really no reason why you should have '
'underscores or brackets in your mathematical '
'expression. Please remove them.')
return
#text = text.translate(string.ascii, '_[] \t')
if 'lambda' in text:
irc.error('You can\'t use lambda in this command.')
return
text = text.replace('lambda', '') # Let's leave it in for safety.
def handleMatch(m):
s = m.group(1)
if s.startswith('0x'):
i = int(s, 16)
elif s.startswith('0') and '.' not in s:
try:
i = int(s, 8)
except ValueError:
i = int(s)
else:
i = float(s)
x = complex(i)
if x == abs(x):
x = abs(x)
return str(x)
text = self._mathRe.sub(handleMatch, text)
try:
self.log.info('evaluating %r from %s' % (text, msg.prefix))
x = complex(eval(text, self._mathEnv, self._mathEnv))
irc.reply(self._complexToString(x))
except OverflowError:
maxFloat = math.ldexp(0.9999999999999999, 1024)
irc.error('The answer exceeded %s or so.' % maxFloat)
except TypeError:
irc.error('Something in there wasn\'t a valid number.')
except NameError, e:
irc.error('%s is not a defined function.' % str(e).split()[1])
except Exception, e:
irc.error(str(e))
def icalc(self, irc, msg, args):
"""<math expression>
This is the same as the calc command except that it allows integer
math, and can thus cause the bot to suck up CPU. Hence it requires
the 'trusted' capability to use.
"""
text = privmsgs.getArgs(args)
if text != text.translate(string.ascii, '_[]'):
irc.error('There\'s really no reason why you should have '
'underscores or brackets in your mathematical '
'expression. Please remove them.')
return
# This removes spaces, too, but we'll leave the removal of _[] for
# safety's sake.
text = text.translate(string.ascii, '_[] \t')
if 'lambda' in text:
irc.error('You can\'t use lambda in this command.')
return
text = text.replace('lambda', '')
try:
self.log.info('evaluating %r from %s' % (text, msg.prefix))
irc.reply(str(eval(text, self._mathEnv, self._mathEnv)))
except OverflowError:
maxFloat = math.ldexp(0.9999999999999999, 1024)
irc.error('The answer exceeded %s or so.' % maxFloat)
except TypeError:
irc.error('Something in there wasn\'t a valid number.')
except NameError, e:
irc.error('%s is not a defined function.' % str(e).split()[1])
except Exception, e:
irc.error(utils.exnToString(e))
icalc = privmsgs.checkCapability(icalc, 'trusted')
_rpnEnv = {
'dup': lambda s: s.extend([s.pop()]*2),
'swap': lambda s: s.extend([s.pop(), s.pop()])
}
def rpn(self, irc, msg, args):
"""<rpn math expression>
Returns the value of an RPN expression.
"""
stack = []
for arg in args:
try:
x = complex(arg)
if x == abs(x):
x = abs(x)
stack.append(x)
except ValueError: # Not a float.
if arg in self._mathEnv:
f = self._mathEnv[arg]
if callable(f):
called = False
arguments = []
while not called and stack:
arguments.append(stack.pop())
try:
stack.append(f(*arguments))
called = True
except TypeError:
pass
if not called:
irc.error('Not enough arguments for %s' % arg)
return
else:
stack.append(f)
elif arg in self._rpnEnv:
self._rpnEnv[arg](stack)
else:
arg2 = stack.pop()
arg1 = stack.pop()
s = '%s%s%s' % (arg1, arg, arg2)
try:
stack.append(eval(s, self._mathEnv, self._mathEnv))
except SyntaxError:
irc.error('%r is not a defined function.' % arg)
return
if len(stack) == 1:
irc.reply(str(self._complexToString(complex(stack[0]))))
else:
s = ', '.join(imap(self._complexToString, imap(complex, stack)))
irc.reply('Stack: [%s]' % s)
def convert(self, irc, msg, args):
"""[<number>] <unit> to <other unit>
Converts from <unit> to <other unit>. If number isn't given, it
defaults to 1. For unit information, see 'units' command.
"""
# see if the first arg is a number of some sort
if args:
try:
num = float(args[0])
args.pop(0)
except ValueError:
num = 1.0
else:
raise callbacks.ArgumentError
try:
the_rest = ' '.join(args)
(unit1, unit2) = the_rest.split(' to ')
except ValueError:
raise callbacks.ArgumentError
try:
newNum = convertcore.convert(num, unit1, unit2)
newNum = self._floatToString(newNum)
irc.reply('%s' % newNum)
except convertcore.UnitDataError, ude:
irc.error(str(ude))
def units(self, irc, msg, args):
""" [<type>]
With no arguments, returns a list of measurement types, which can be
passed as arguments. When called with a type as an argument, returns
the units of that type.
"""
if len(args) == 0:
type = None
else:
type = ' '.join(args)
irc.reply(convertcore.units(type))
Class = Math
# vim:set shiftwidth=4 tabstop=8 expandtab textwidth=78:
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