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