1 | #
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2 | # this is a rather strict implementation of a bit vector class
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3 | # it is accessed the same way as an array of python-ints, except
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4 | # the value must be 0 or 1
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5 | #
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6 |
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7 | import sys; rprt = sys.stderr.write #for debugging
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8 |
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9 | class error(Exception):
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10 | pass
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11 |
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12 |
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13 | def _check_value(value):
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14 | if type(value) != type(0) or not 0 <= value < 2:
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15 | raise error, 'bitvec() items must have int value 0 or 1'
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16 |
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17 |
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18 | import math
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19 |
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20 | def _compute_len(param):
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21 | mant, l = math.frexp(float(param))
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22 | bitmask = 1L << l
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23 | if bitmask <= param:
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24 | raise RuntimeError('(param, l) = %r' % ((param, l),))
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25 | while l:
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26 | bitmask = bitmask >> 1
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27 | if param & bitmask:
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28 | break
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29 | l = l - 1
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30 | return l
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31 |
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32 |
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33 | def _check_key(len, key):
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34 | if type(key) != type(0):
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35 | raise TypeError, 'sequence subscript not int'
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36 | if key < 0:
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37 | key = key + len
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38 | if not 0 <= key < len:
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39 | raise IndexError, 'list index out of range'
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40 | return key
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41 |
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42 | def _check_slice(len, i, j):
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43 | #the type is ok, Python already checked that
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44 | i, j = max(i, 0), min(len, j)
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45 | if i > j:
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46 | i = j
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47 | return i, j
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48 |
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49 |
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50 | class BitVec:
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51 |
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52 | def __init__(self, *params):
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53 | self._data = 0L
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54 | self._len = 0
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55 | if not len(params):
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56 | pass
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57 | elif len(params) == 1:
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58 | param, = params
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59 | if type(param) == type([]):
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60 | value = 0L
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61 | bit_mask = 1L
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62 | for item in param:
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63 | # strict check
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64 | #_check_value(item)
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65 | if item:
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66 | value = value | bit_mask
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67 | bit_mask = bit_mask << 1
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68 | self._data = value
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69 | self._len = len(param)
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70 | elif type(param) == type(0L):
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71 | if param < 0:
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72 | raise error, 'bitvec() can\'t handle negative longs'
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73 | self._data = param
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74 | self._len = _compute_len(param)
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75 | else:
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76 | raise error, 'bitvec() requires array or long parameter'
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77 | elif len(params) == 2:
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78 | param, length = params
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79 | if type(param) == type(0L):
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80 | if param < 0:
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81 | raise error, \
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82 | 'can\'t handle negative longs'
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83 | self._data = param
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84 | if type(length) != type(0):
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85 | raise error, 'bitvec()\'s 2nd parameter must be int'
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86 | computed_length = _compute_len(param)
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87 | if computed_length > length:
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88 | print 'warning: bitvec() value is longer than the length indicates, truncating value'
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89 | self._data = self._data & \
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90 | ((1L << length) - 1)
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91 | self._len = length
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92 | else:
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93 | raise error, 'bitvec() requires array or long parameter'
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94 | else:
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95 | raise error, 'bitvec() requires 0 -- 2 parameter(s)'
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96 |
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97 |
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98 | def append(self, item):
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99 | #_check_value(item)
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100 | #self[self._len:self._len] = [item]
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101 | self[self._len:self._len] = \
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102 | BitVec(long(not not item), 1)
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103 |
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104 |
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105 | def count(self, value):
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106 | #_check_value(value)
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107 | if value:
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108 | data = self._data
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109 | else:
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110 | data = (~self)._data
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111 | count = 0
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112 | while data:
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113 | data, count = data >> 1, count + (data & 1 != 0)
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114 | return count
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115 |
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116 |
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117 | def index(self, value):
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118 | #_check_value(value):
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119 | if value:
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120 | data = self._data
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121 | else:
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122 | data = (~self)._data
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123 | index = 0
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124 | if not data:
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125 | raise ValueError, 'list.index(x): x not in list'
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126 | while not (data & 1):
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127 | data, index = data >> 1, index + 1
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128 | return index
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129 |
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130 |
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131 | def insert(self, index, item):
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132 | #_check_value(item)
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133 | #self[index:index] = [item]
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134 | self[index:index] = BitVec(long(not not item), 1)
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135 |
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136 |
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137 | def remove(self, value):
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138 | del self[self.index(value)]
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139 |
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140 |
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141 | def reverse(self):
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142 | #ouch, this one is expensive!
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143 | #for i in self._len>>1: self[i], self[l-i] = self[l-i], self[i]
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144 | data, result = self._data, 0L
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145 | for i in range(self._len):
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146 | if not data:
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147 | result = result << (self._len - i)
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148 | break
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149 | result, data = (result << 1) | (data & 1), data >> 1
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150 | self._data = result
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151 |
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152 |
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153 | def sort(self):
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154 | c = self.count(1)
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155 | self._data = ((1L << c) - 1) << (self._len - c)
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156 |
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157 |
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158 | def copy(self):
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159 | return BitVec(self._data, self._len)
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160 |
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161 |
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162 | def seq(self):
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163 | result = []
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164 | for i in self:
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165 | result.append(i)
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166 | return result
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167 |
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168 |
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169 | def __repr__(self):
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170 | ##rprt('<bitvec class instance object>.' + '__repr__()\n')
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171 | return 'bitvec(%r, %r)' % (self._data, self._len)
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172 |
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173 | def __cmp__(self, other, *rest):
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174 | #rprt('%r.__cmp__%r\n' % (self, (other,) + rest))
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175 | if type(other) != type(self):
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176 | other = apply(bitvec, (other, ) + rest)
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177 | #expensive solution... recursive binary, with slicing
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178 | length = self._len
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179 | if length == 0 or other._len == 0:
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180 | return cmp(length, other._len)
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181 | if length != other._len:
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182 | min_length = min(length, other._len)
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183 | return cmp(self[:min_length], other[:min_length]) or \
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184 | cmp(self[min_length:], other[min_length:])
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185 | #the lengths are the same now...
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186 | if self._data == other._data:
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187 | return 0
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188 | if length == 1:
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189 | return cmp(self[0], other[0])
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190 | else:
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191 | length = length >> 1
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192 | return cmp(self[:length], other[:length]) or \
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193 | cmp(self[length:], other[length:])
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194 |
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195 |
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196 | def __len__(self):
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197 | #rprt('%r.__len__()\n' % (self,))
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198 | return self._len
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199 |
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200 | def __getitem__(self, key):
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201 | #rprt('%r.__getitem__(%r)\n' % (self, key))
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202 | key = _check_key(self._len, key)
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203 | return self._data & (1L << key) != 0
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204 |
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205 | def __setitem__(self, key, value):
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206 | #rprt('%r.__setitem__(%r, %r)\n' % (self, key, value))
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207 | key = _check_key(self._len, key)
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208 | #_check_value(value)
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209 | if value:
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210 | self._data = self._data | (1L << key)
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211 | else:
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212 | self._data = self._data & ~(1L << key)
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213 |
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214 | def __delitem__(self, key):
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215 | #rprt('%r.__delitem__(%r)\n' % (self, key))
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216 | key = _check_key(self._len, key)
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217 | #el cheapo solution...
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218 | self._data = self[:key]._data | self[key+1:]._data >> key
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219 | self._len = self._len - 1
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220 |
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221 | def __getslice__(self, i, j):
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222 | #rprt('%r.__getslice__(%r, %r)\n' % (self, i, j))
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223 | i, j = _check_slice(self._len, i, j)
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224 | if i >= j:
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225 | return BitVec(0L, 0)
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226 | if i:
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227 | ndata = self._data >> i
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228 | else:
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229 | ndata = self._data
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230 | nlength = j - i
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231 | if j != self._len:
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232 | #we'll have to invent faster variants here
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233 | #e.g. mod_2exp
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234 | ndata = ndata & ((1L << nlength) - 1)
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235 | return BitVec(ndata, nlength)
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236 |
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237 | def __setslice__(self, i, j, sequence, *rest):
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238 | #rprt('%s.__setslice__%r\n' % (self, (i, j, sequence) + rest))
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239 | i, j = _check_slice(self._len, i, j)
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240 | if type(sequence) != type(self):
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241 | sequence = apply(bitvec, (sequence, ) + rest)
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242 | #sequence is now of our own type
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243 | ls_part = self[:i]
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244 | ms_part = self[j:]
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245 | self._data = ls_part._data | \
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246 | ((sequence._data | \
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247 | (ms_part._data << sequence._len)) << ls_part._len)
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248 | self._len = self._len - j + i + sequence._len
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249 |
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250 | def __delslice__(self, i, j):
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251 | #rprt('%r.__delslice__(%r, %r)\n' % (self, i, j))
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252 | i, j = _check_slice(self._len, i, j)
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253 | if i == 0 and j == self._len:
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254 | self._data, self._len = 0L, 0
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255 | elif i < j:
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256 | self._data = self[:i]._data | (self[j:]._data >> i)
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257 | self._len = self._len - j + i
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258 |
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259 | def __add__(self, other):
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260 | #rprt('%r.__add__(%r)\n' % (self, other))
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261 | retval = self.copy()
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262 | retval[self._len:self._len] = other
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263 | return retval
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264 |
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265 | def __mul__(self, multiplier):
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266 | #rprt('%r.__mul__(%r)\n' % (self, multiplier))
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267 | if type(multiplier) != type(0):
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268 | raise TypeError, 'sequence subscript not int'
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269 | if multiplier <= 0:
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270 | return BitVec(0L, 0)
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271 | elif multiplier == 1:
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272 | return self.copy()
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273 | #handle special cases all 0 or all 1...
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274 | if self._data == 0L:
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275 | return BitVec(0L, self._len * multiplier)
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276 | elif (~self)._data == 0L:
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277 | return ~BitVec(0L, self._len * multiplier)
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278 | #otherwise el cheapo again...
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279 | retval = BitVec(0L, 0)
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280 | while multiplier:
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281 | retval, multiplier = retval + self, multiplier - 1
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282 | return retval
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283 |
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284 | def __and__(self, otherseq, *rest):
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285 | #rprt('%r.__and__%r\n' % (self, (otherseq,) + rest))
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286 | if type(otherseq) != type(self):
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287 | otherseq = apply(bitvec, (otherseq, ) + rest)
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288 | #sequence is now of our own type
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289 | return BitVec(self._data & otherseq._data, \
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290 | min(self._len, otherseq._len))
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291 |
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292 |
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293 | def __xor__(self, otherseq, *rest):
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294 | #rprt('%r.__xor__%r\n' % (self, (otherseq,) + rest))
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295 | if type(otherseq) != type(self):
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296 | otherseq = apply(bitvec, (otherseq, ) + rest)
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297 | #sequence is now of our own type
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298 | return BitVec(self._data ^ otherseq._data, \
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299 | max(self._len, otherseq._len))
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300 |
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301 |
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302 | def __or__(self, otherseq, *rest):
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303 | #rprt('%r.__or__%r\n' % (self, (otherseq,) + rest))
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304 | if type(otherseq) != type(self):
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305 | otherseq = apply(bitvec, (otherseq, ) + rest)
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306 | #sequence is now of our own type
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307 | return BitVec(self._data | otherseq._data, \
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308 | max(self._len, otherseq._len))
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309 |
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310 |
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311 | def __invert__(self):
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312 | #rprt('%r.__invert__()\n' % (self,))
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313 | return BitVec(~self._data & ((1L << self._len) - 1), \
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314 | self._len)
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315 |
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316 | def __coerce__(self, otherseq, *rest):
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317 | #needed for *some* of the arithmetic operations
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318 | #rprt('%r.__coerce__%r\n' % (self, (otherseq,) + rest))
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319 | if type(otherseq) != type(self):
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320 | otherseq = apply(bitvec, (otherseq, ) + rest)
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321 | return self, otherseq
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322 |
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323 | def __int__(self):
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324 | return int(self._data)
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325 |
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326 | def __long__(self):
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327 | return long(self._data)
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328 |
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329 | def __float__(self):
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330 | return float(self._data)
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331 |
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332 |
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333 | bitvec = BitVec
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