### # Copyright (c) 2002-2004, Jeremiah Fincher # Copyright (c) 2008-2009, James McCoy # 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.utils.minisix as minisix import supybot.callbacks as callbacks from supybot.i18n import PluginInternationalization, internationalizeDocstring _ = PluginInternationalization('Math') from .local import convertcore from .evaluator import safe_eval, InvalidNode, SAFE_ENV baseArg = ('int', 'base', lambda i: i <= 36) class Math(callbacks.Plugin): """Provides commands to work with math, such as a calculator and a unit converter.""" @internationalizeDocstring def base(self, irc, msg, args, frm, to, number): """ [] Converts from base to base . If 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 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.ascii_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 = minisix.long(str(number), fromBase) if toBase == 10: return str(number) return self._convertDecimalToBase(number, toBase) 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) @internationalizeDocstring def calc(self, irc, msg, args, text): """ Returns the value of the evaluated . 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. """ try: self.log.info('evaluating %q from %s', text, msg.prefix) x = complex(safe_eval(text, allow_ints=False)) irc.reply(self._complexToString(x)) except OverflowError: maxFloat = math.ldexp(0.9999999999999999, 1024) irc.error(_('The answer exceeded %s or so.') % maxFloat) except InvalidNode as e: irc.error(_('Invalid syntax: %s') % e.args[0]) except NameError as e: irc.error(_('%s is not a defined function.') % e.args[0]) except Exception as e: irc.error(str(e)) calc = wrap(calc, ['text']) @internationalizeDocstring def icalc(self, irc, msg, args, text): """ 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. """ try: self.log.info('evaluating %q from %s', text, msg.prefix) x = safe_eval(text, allow_ints=True) irc.reply(str(x)) except OverflowError: maxFloat = math.ldexp(0.9999999999999999, 1024) irc.error(_('The answer exceeded %s or so.') % maxFloat) except InvalidNode as e: irc.error(_('Invalid syntax: %s') % e.args[0]) except NameError as e: irc.error(_('%s is not a defined function.') % str(e).split()[1]) except Exception as 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): """ 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 SAFE_ENV: f = SAFE_ENV[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(safe_eval(s, allow_ints=False)) 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, list(map(complex, stack)))) irc.reply(_('Stack: [%s]') % s) @internationalizeDocstring def convert(self, irc, msg, args, number, unit1, unit2): """[] to Converts from to . If number isn't given, it defaults to 1. For unit information, see 'units' command. """ try: digits = len(str(number).split('.')[1]) except IndexError: digits = 0 try: newNum = convertcore.convert(number, unit1, unit2) if isinstance(newNum, float): zeros = 0 for char in str(newNum).split('.')[1]: if char != '0': break zeros += 1 # Let's add one signifiant digit. Physicists would not like # that, but common people usually do not give extra zeros... # (for example, with '32 C to F', an extra digit would be # expected). newNum = round(newNum, digits + 1 + zeros) newNum = self._floatToString(newNum) irc.reply(str(newNum)) except convertcore.UnitDataError as ude: irc.error(str(ude)) convert = wrap(convert, [optional('float', 1.0),'something','to','text']) @internationalizeDocstring 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. """ irc.reply(convertcore.units(type)) units = wrap(units, [additional('text')]) Class = Math # vim:set shiftwidth=4 softtabstop=4 expandtab textwidth=79: