mirror of
https://github.com/Mikaela/Limnoria.git
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7d299dc3d1
The second argument of `round()` has to be an integer, and since every number is converted to a float to avoid using too much memory, a wrapper has to be added for this function. I've tested it with big numbers and it doesn't seem to cause any issue.
372 lines
14 KiB
Python
372 lines
14 KiB
Python
###
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# Copyright (c) 2002-2004, Jeremiah Fincher
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# Copyright (c) 2008-2009, James McCoy
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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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from __future__ import division
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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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import supybot.utils as utils
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from supybot.commands import *
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import supybot.utils.minisix as minisix
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import supybot.callbacks as callbacks
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from supybot.i18n import PluginInternationalization, internationalizeDocstring
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_ = PluginInternationalization('Math')
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try:
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from .local import convertcore
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except ImportError:
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from .local import convertcore
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baseArg = ('int', 'base', lambda i: i <= 36)
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class Math(callbacks.Plugin):
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"""Provides commands to work with math, such as a calculator and
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a unit converter."""
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@internationalizeDocstring
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def base(self, irc, msg, args, frm, to, number):
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"""<fromBase> [<toBase>] <number>
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Converts <number> from base <fromBase> to base <toBase>.
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If <toBase> is left out, it converts to decimal.
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"""
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if not number:
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number = str(to)
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to = 10
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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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base = wrap(base, [('int', 'base', lambda i: 2 <= i <= 36),
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optional(('int', 'base', lambda i: 2 <= i <= 36), 10),
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additional('something')])
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def _convertDecimalToBase(self, number, base):
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"""Convert a decimal number to another base; returns a string."""
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if number == 0:
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return '0'
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elif number < 0:
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negative = True
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number = -number
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else:
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negative = False
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digits = []
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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.ascii_uppercase[digit - 10]
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else:
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digit = str(digit)
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digits.append(digit)
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number = number // base
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digits.reverse()
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return '-'*negative + ''.join(digits)
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def _convertBaseToBase(self, number, toBase, fromBase):
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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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number = minisix.long(str(number), fromBase)
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if toBase == 10:
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return str(number)
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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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def _cbrt(x):
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return math.pow(x, 1.0/3)
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def _factorial(x):
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if x<=10000:
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return math.factorial(x)
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else:
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raise Exception('factorial argument too large')
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_mathEnv['sqrt'] = _sqrt
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_mathEnv['cbrt'] = _cbrt
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_mathEnv['abs'] = abs
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_mathEnv['max'] = max
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_mathEnv['min'] = min
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_mathEnv['round'] = lambda x, y: round(x, int(y))
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_mathSafeEnv = dict([(x,y) for x,y in _mathEnv.items()])
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_mathSafeEnv['factorial'] = _factorial
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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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_calc_match_forbidden_chars = re.compile('[_[\]]')
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_calc_remover = utils.str.MultipleRemover('_[] \t')
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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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@internationalizeDocstring
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def calc(self, irc, msg, args, text):
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"""<math expression>
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Returns the value of the evaluated <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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try:
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text = str(text)
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except UnicodeEncodeError:
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irc.error(_("There's no reason you should have fancy non-ASCII "
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"characters in your mathematical expression. "
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"Please remove them."))
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return
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if self._calc_match_forbidden_chars.match(text):
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# Note: this is important to keep this to forbid usage of
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# __builtins__
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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 = self._calc_remover(text)
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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.lower()
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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.imag == 0:
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x = x.real
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# Need to use string-formatting here instead of str() because
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# use of str() on large numbers loses information:
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# str(float(33333333333333)) => '3.33333333333e+13'
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# float('3.33333333333e+13') => 33333333333300.0
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return '%.16f' % 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 %q from %s', text, msg.prefix)
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x = complex(eval(text, self._mathSafeEnv, self._mathSafeEnv))
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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 as e:
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irc.error(_('%s is not a defined function.') % str(e).split()[1])
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except Exception as e:
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irc.error(str(e))
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calc = wrap(calc, ['text'])
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@internationalizeDocstring
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def icalc(self, irc, msg, args, text):
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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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if self._calc_match_forbidden_chars.match(text):
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# Note: this is important to keep this to forbid usage of
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# __builtins__
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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 = self._calc_remover(text)
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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 %q 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 as e:
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irc.error(_('%s is not a defined function.') % str(e).split()[1])
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except Exception as e:
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irc.error(utils.exnToString(e))
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icalc = wrap(icalc, [('checkCapability', 'trusted'), 'text'])
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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._mathSafeEnv:
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f = self._mathSafeEnv[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._mathSafeEnv, self._mathSafeEnv))
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except SyntaxError:
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irc.error(format(_('%q is not a defined function.'),
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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(map(self._complexToString, list(map(complex, stack))))
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irc.reply(_('Stack: [%s]') % s)
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@internationalizeDocstring
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def convert(self, irc, msg, args, number, unit1, unit2):
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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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try:
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digits = len(str(number).split('.')[1])
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except IndexError:
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digits = 0
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try:
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newNum = convertcore.convert(number, unit1, unit2)
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if isinstance(newNum, float):
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zeros = 0
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for char in str(newNum).split('.')[1]:
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if char != '0':
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break
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zeros += 1
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# Let's add one signifiant digit. Physicists would not like
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# that, but common people usually do not give extra zeros...
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# (for example, with '32 C to F', an extra digit would be
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# expected).
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newNum = round(newNum, digits + 1 + zeros)
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newNum = self._floatToString(newNum)
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irc.reply(str(newNum))
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except convertcore.UnitDataError as ude:
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irc.error(str(ude))
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convert = wrap(convert, [optional('float', 1.0),'something','to','text'])
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@internationalizeDocstring
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def units(self, irc, msg, args, type):
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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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irc.reply(convertcore.units(type))
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units = wrap(units, [additional('text')])
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Class = Math
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# vim:set shiftwidth=4 softtabstop=4 expandtab textwidth=79:
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