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258 lines
9.1 KiB
Python
258 lines
9.1 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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import plugins
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import re
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import new
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import math
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import cmath
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import string
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from itertools import imap
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import unum.units
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import debug
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import utils
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import privmsgs
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import callbacks
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def configure(onStart, afterConnect, advanced):
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# This will be called by setup.py to configure this module. onStart and
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# afterConnect are both lists. Append to onStart the commands you would
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# like to be run when the bot is started; append to afterConnect the
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# commands you would like to be run when the bot has finished connecting.
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from questions import expect, anything, something, yn
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onStart.append('load Math')
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example = utils.wrapLines("""
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<jemfinch> @calc e**(i*pi) + 1
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<supybot> 0
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<jemfinch> @calc 1+2+3
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<supybot> 6
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<jemfinch> @rpn 1 2 3 + +
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<supybot> 6
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""")
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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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_mathEnv = {'__builtins__': new.module('__builtins__'), 'i': 1j}
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_mathEnv.update(math.__dict__)
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_mathEnv.update(cmath.__dict__)
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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 _complexToString(self, x):
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real = x.real
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imag = x.imag
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if -1e-12 < real < 1e-12 and -1e-12 < imag < 1e-12:
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return '0'
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if int(real) == real:
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real = int(real)
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if int(imag) == imag:
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imag = int(imag)
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if -1e-12 < real < 1e-12:
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real = 0
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if -1e-12 < imag < 1e-12:
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imag = 0
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if imag == 0:
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return str(real)
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elif imag == 1:
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imag = 'i'
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elif imag == -1:
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imag = '-i'
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elif imag < 0:
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imag = '%si' % imag
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elif imag > 0:
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imag = '+%si' % imag
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if real == 0:
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return imag.lstrip('+')
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else:
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return '%s%s' % (real, imag)
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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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text = text.translate(string.ascii, '_[] \t')
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text = text.replace('lambda', '')
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#debug.printf(text)
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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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#debug.printf(text)
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try:
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x = complex(eval(text, self._mathEnv, self._mathEnv))
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irc.reply(msg, self._complexToString(x))
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except OverflowError:
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irc.error(msg, 'Go get scanez, this is a *real* math problem!')
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except TypeError:
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irc.error(msg, 'Something in there wasn\'t a valid number.')
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except NameError, e:
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irc.error(msg, '%s is not a defined function.' % str(e).split()[1])
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except Exception, e:
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irc.error(msg, debug.exnToString(e))
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_rpnEnv = {
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'dup': lambda s: s.extend([s.pop()]*2),
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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(msg, '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(msg, '%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(msg, 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(msg, 'Stack: [%s]' % s)
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_convertEnv = {'__builtins__': new.module('__builtins__')}
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for (k, v) in unum.units.__dict__.iteritems():
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if isinstance(v, unum.Unum):
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_convertEnv[k.lower()] = v
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def convert(self, irc, msg, args):
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"""<number> <units> to <other units>
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Converts the first number of <units> to the <other units>. Valid units
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expressions include the standard Python math operators applied to valid
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units.
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"""
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(n, unit1, to, unit2) = privmsgs.getArgs(args, needed=4)
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if to != 'to':
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raise callbacks.ArgumentError
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try:
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n = float(n)
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except ValueError:
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irc.error(msg, '%s is not a valid number.' % n)
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return
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try:
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u1 = eval(unit1.lower(), self._convertEnv, self._convertEnv)
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except:
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irc.error(msg, '%s is not a valid units expression.' % unit1)
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return
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try:
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u2 = eval(unit2.lower(), self._convertEnv, self._convertEnv)
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except:
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irc.error(msg, '%s is not a valid units expression.' % unit2)
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return
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try:
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irc.reply(msg, str((n*u1).as(u2)))
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except Exception, e:
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irc.error(msg, str(e))
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def units(self, irc, msg, args):
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"""takes no arguments
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Returns all the valid units.
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"""
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L = self._convertEnv.keys()
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L.remove('__builtins__')
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L.sort()
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irc.reply(msg, utils.commaAndify(L))
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Class = Math
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# vim:set shiftwidth=4 tabstop=8 expandtab textwidth=78:
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