1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
|
###
# Copyright (c) 2002-2004, Jeremiah Fincher
# Copyright (c) 2008-2009, James McCoy
# Copyright (c) 2010-2021, Valentin Lorentz
# 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 math
import string
import supybot.utils as utils
from supybot.commands import *
import supybot.callbacks as callbacks
from supybot.i18n import PluginInternationalization, internationalizeDocstring
_ = PluginInternationalization('Math')
from .local import convertcore
from supybot.utils.math_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):
"""<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.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 = int(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):
"""<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.
"""
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 MemoryError:
irc.error(_('Memory error (too much recursion?)'))
except Exception as 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.
"""
try:
self.log.info('evaluating %q from %s', text, msg.prefix)
result = safe_eval(text, allow_ints=True)
float(result) # fail early if it is too large to be displayed
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))
else:
try:
result_str = str(result)
except ValueError as e:
# Probably too large to be converted to string; go through
# floats instead.
# https://docs.python.org/3/library/stdtypes.html#int-max-str-digits
# (Depending on configuration, this may be dead code because it
# is caught by the float() check above.
result_str = str(float(result))
irc.reply(result_str)
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 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):
"""[<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:
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 "{:f}".format(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)
# However, if the difference is negligeable compared to the
# precision we got in the input, we remove two more digits.
# this is useful for rounding .9999999 up.
newNum2 = round(newNum, digits - 1 + zeros)
try:
if abs((newNum2 - newNum) / newNum) < 10**(-digits-10):
newNum = newNum2
except ZeroDivisionError:
pass
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):
""" [<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:
|
