### # Copyright (c) 2002-2004, Jeremiah Fincher # Copyright (c) 2008-2009, James Vega # 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. ### from __future__ import division import re import math import cmath import types import string import supybot.utils as utils from supybot.commands import * import supybot.callbacks as callbacks from supybot.i18n import PluginInternationalization, internationalizeDocstring _ = PluginInternationalization('Math') convertcore = utils.python.universalImport('local.convertcore') baseArg = ('int', 'base', lambda i: i <= 36) class Math(callbacks.Plugin): @internationalizeDocstring def base(self, irc, msg, args, frm, to, number): """<fromBase> [<toBase>] <number> Converts <number> from base <fromBase> to base <toBase>. If <toBase> is left out, it converts to decimal. """ if not number: number = str(to) to = 10 try: irc.reply(self._convertBaseToBase(number, to, frm)) except ValueError: irc.error(_('Invalid <number> for base %s: %s') % (frm, number)) base = wrap(base, [('int', 'base', lambda i: 2 <= i <= 36), optional(('int', 'base', lambda i: 2 <= i <= 36), 10), additional('something')]) def _convertDecimalToBase(self, number, base): """Convert a decimal number to another base; returns a string.""" if number == 0: return '0' elif number < 0: negative = True number = -number else: negative = False digits = [] while number != 0: digit = number % base if digit >= 10: digit = string.uppercase[digit - 10] else: digit = str(digit) digits.append(digit) number = number // base digits.reverse() return '-'*negative + ''.join(digits) 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 _mathEnv['abs'] = abs _mathEnv['max'] = max _mathEnv['min'] = min _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) ### # 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. ### @internationalizeDocstring def calc(self, irc, msg, args, text): """<math expression> Returns the value of the evaluated <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. """ if text != text.translate(utils.str.chars, '_[]'): 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(utils.str.chars, '_[] \t') if 'lambda' in text: irc.error(_('You can\'t use lambda in this command.')) return text = text.lower() 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) # Need to use string-formatting here instead of str() because # use of str() on large numbers loses information: # str(float(33333333333333)) => '3.33333333333e+13' # float('3.33333333333e+13') => 33333333333300.0 return '%f' % x return str(x) text = self._mathRe.sub(handleMatch, text) try: self.log.info('evaluating %q 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)) calc = wrap(calc, ['text']) @internationalizeDocstring def icalc(self, irc, msg, args, text): """<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. """ if text != text.translate(utils.str.chars, '_[]'): 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(utils.str.chars, '_[] \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 %q 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 = wrap(icalc, [('checkCapability', 'trusted'), 'text']) _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(format(_('%q is not a defined function.'), arg)) return if len(stack) == 1: irc.reply(str(self._complexToString(complex(stack[0])))) else: s = ', '.join(map(self._complexToString, map(complex, stack))) irc.reply(_('Stack: [%s]') % s) @internationalizeDocstring def convert(self, irc, msg, args, number, unit1, unit2): """[<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. """ try: newNum = convertcore.convert(number, unit1, unit2) newNum = self._floatToString(newNum) irc.reply(str(newNum)) except convertcore.UnitDataError, ude: irc.error(str(ude)) convert = wrap(convert, [optional('float', 1.0),'something','to','text']) @internationalizeDocstring def units(self, irc, msg, args, type): """ [<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. """ irc.reply(convertcore.units(type)) units = wrap(units, [additional('text')]) Class = Math # vim:set shiftwidth=4 softtabstop=4 expandtab textwidth=79: