|
| 1 | +def custom_hash(key): |
| 2 | + """ |
| 3 | + Return the hash value of the given key. Uses dbj2 |
| 4 | + @param key: String or unicode |
| 5 | + """ |
| 6 | + result = 5381 |
| 7 | + multiplier = 33 |
| 8 | + |
| 9 | + if isinstance(key, int): |
| 10 | + return key |
| 11 | + |
| 12 | + for char in key: |
| 13 | + result = 33 * result + ord(char) |
| 14 | + return result |
| 15 | + |
| 16 | +class Hash(object): |
| 17 | + def __init__(self, size=8, hashfunction=custom_hash): |
| 18 | + # Total block size which can be array or list |
| 19 | + self._size = 8 |
| 20 | + # Initial hashtable size |
| 21 | + self.__initial_size = self._size |
| 22 | + # Counter for holding total used slots |
| 23 | + self._used_slots = 0 |
| 24 | + # Counter for holding deleted keys |
| 25 | + self._dummy_slots = 0 |
| 26 | + # Holds all the keys |
| 27 | + self._keys = [None] * self._size |
| 28 | + # Holds all the values |
| 29 | + self._values = [None] * self._size |
| 30 | + # Alias for custom_hash function |
| 31 | + self.hash = custom_hash |
| 32 | + # threshold is used for increasing hash table |
| 33 | + self._max_threshold = 0.70 |
| 34 | + |
| 35 | + def should_expand(self): |
| 36 | + """Returns True or False |
| 37 | + |
| 38 | + If used slots and dummy slots are more than 70% resize the hash table. |
| 39 | + """ |
| 40 | + return (float(self._used_slots + self._dummy_slots) / self._size) >= self._max_threshold |
| 41 | + |
| 42 | + def _probing(self, current_position): |
| 43 | + """Quadratic probing to get new position when collision occurs. |
| 44 | + @param current_position: position at already element is present. |
| 45 | + """ |
| 46 | + # Algorithm is copied from CPython http://hg.python.org/cpython/file/52f68c95e025/Objects/dictobject.c#l69 |
| 47 | + return ((5 + current_position) + 1) % self._size |
| 48 | + |
| 49 | + def _set_item_at_pos(self, position, key, value): |
| 50 | + self._keys[position] = key |
| 51 | + self._values[position] = value |
| 52 | + |
| 53 | + self._used_slots += 1 |
| 54 | + |
| 55 | + def _set_item(self, position, key, value): |
| 56 | + """sets key and value in the given position. |
| 57 | + If position has already value in it, calls _probing to get next position |
| 58 | + @param position: index |
| 59 | + @param key: key |
| 60 | + @param value: value |
| 61 | + """ |
| 62 | + existing_key = self._keys[position] |
| 63 | + |
| 64 | + if existing_key is None or existing_key == key: |
| 65 | + # Empty or update |
| 66 | + self._set_item_at_pos(position, key, value) |
| 67 | + else: |
| 68 | + # Collision needs a probing. This needs to be recursive. |
| 69 | + new_position = self._probing(position) |
| 70 | + self._set_item(new_position, key, value) |
| 71 | + |
| 72 | + def _reposition(self, keys, values): |
| 73 | + """Reposition all the keys and values. |
| 74 | + This is called whenever load factor or threshold has crossed the limit. |
| 75 | + """ |
| 76 | + for (key, value) in zip(keys, values): |
| 77 | + if key is not None: |
| 78 | + hashvalue = self.hash(key) |
| 79 | + position = self._calculate_position(hashvalue) |
| 80 | + |
| 81 | + self._set_item(position, key, value) |
| 82 | + |
| 83 | + def _resize(self): |
| 84 | + old_keys = self._keys |
| 85 | + old_values = self._values |
| 86 | + |
| 87 | + # New size |
| 88 | + self._size = self._size * 4 |
| 89 | + |
| 90 | + # create new block of memory and clean up old keys positions |
| 91 | + self._keys = [None] * self._size |
| 92 | + self._values = [None] * self._size |
| 93 | + self._used_slots = 0 |
| 94 | + self._dummy_slots = 0 |
| 95 | + |
| 96 | + # Now reposition the keys and values |
| 97 | + |
| 98 | + self._reposition(old_keys, old_values) |
| 99 | + |
| 100 | + def _calculate_position(self, hashvalue): |
| 101 | + return hashvalue % self._size |
| 102 | + |
| 103 | + def raise_if_not_acceptable_key(self, key): |
| 104 | + if not isinstance(key, (basestring, int)): |
| 105 | + raise TypeError("Key should be int or string or unicode") |
| 106 | + |
| 107 | + def put(self, key, value): |
| 108 | + """Given a key and value add to the hashtable. |
| 109 | + Key should be int or string or unicode. |
| 110 | + """ |
| 111 | + self.raise_if_not_acceptable_key(key) |
| 112 | + |
| 113 | + if self.should_expand(): |
| 114 | + self._resize() |
| 115 | + |
| 116 | + position = self._calculate_position(self.hash(key)) |
| 117 | + self._set_item(position, key, value) |
| 118 | + |
| 119 | + def _get_pos_recursively(self, position, key): |
| 120 | + new_position = self._probing(position) |
| 121 | + tmp_key = self._keys[new_position] |
| 122 | + |
| 123 | + if tmp_key == None: |
| 124 | + # At new position the key is empty raise ane exception |
| 125 | + raise KeyError(u"{} key not found".format(key)) |
| 126 | + elif tmp_key != key: |
| 127 | + # Again check for next position |
| 128 | + return self._get_pos_recursively(new_position, key) |
| 129 | + else: |
| 130 | + return new_position |
| 131 | + |
| 132 | + def _get_pos(self, key): |
| 133 | + """ |
| 134 | + Returns position of the key |
| 135 | + """ |
| 136 | + self.raise_if_not_acceptable_key(key) |
| 137 | + position = self._calculate_position(self.hash(key)) |
| 138 | + |
| 139 | + tmp_key = self._keys[position] |
| 140 | + |
| 141 | + if tmp_key == None: |
| 142 | + raise KeyError("{} doesn't exist".format(key)) |
| 143 | + |
| 144 | + elif tmp_key != key: |
| 145 | + # Probably collision and get next position using probing |
| 146 | + return self._get_pos_recursively(position, key) |
| 147 | + else: |
| 148 | + return position |
| 149 | + |
| 150 | + def get(self, key): |
| 151 | + position = self._get_pos(key) |
| 152 | + |
| 153 | + if position is None: |
| 154 | + return None |
| 155 | + |
| 156 | + return self._values[position] |
| 157 | + |
| 158 | + def _delete_item(self, position, key): |
| 159 | + self._keys[position] = None |
| 160 | + self._values[position] = None |
| 161 | + |
| 162 | + self._dummy_slots += 1 |
| 163 | + |
| 164 | + def delete(self, key): |
| 165 | + """Deletes the key if present. KeyError is raised if Key is missing. |
| 166 | + """ |
| 167 | + position = self._get_pos(key) |
| 168 | + |
| 169 | + if position is None: |
| 170 | + raise KeyError(key) |
| 171 | + |
| 172 | + self._delete_item(position, key) |
| 173 | + |
| 174 | + # Downsizing of hash map is not yet implemented. |
| 175 | + |
| 176 | +if __name__ == "__main__": |
| 177 | + h = Hash() |
| 178 | + h.put("a", 1) |
| 179 | + assert h.get("a") == 1 |
| 180 | + h.put("a", 23) |
| 181 | + assert h.get("a") == 23 |
| 182 | + h.put("b", 2) |
| 183 | + assert h.get("b") == 2 |
| 184 | + h.put("z", 26) |
| 185 | + #print h._values |
| 186 | + #print h._keys |
| 187 | + assert h.get("z") == 26 |
| 188 | + h.put("c", 3) |
| 189 | + assert h.get("c") == 3 |
| 190 | + h.put("d", 4) |
| 191 | + assert h.get("d") == 4 |
| 192 | + h.put("e", 5) |
| 193 | + assert h.get("e") == 5 |
| 194 | + h.put("f", 6) |
| 195 | + assert h.get("f") == 6 |
| 196 | + h.put("g", 7) |
| 197 | + assert h.get("g") == 7 |
| 198 | + h.put("h", 8) |
| 199 | + assert h.get("h") == 8 |
| 200 | + h.put("i", 9) |
| 201 | + assert h.get("i") == 9 |
| 202 | + h.put("j", 10) |
| 203 | + assert h.get("j") == 10 |
| 204 | + h.put(1, 1) |
| 205 | + assert h.get(1) == 1 |
| 206 | + h.put(6, 6) |
| 207 | + #print h.get(6) |
| 208 | + assert h.get(6) == 6 |
| 209 | + h.put("krace", [24, 12]) |
| 210 | + assert h.get("krace") == [24, 12] |
| 211 | + h.delete("krace") |
| 212 | + try: |
| 213 | + h.get("krace") |
| 214 | + except KeyError: |
| 215 | + pass |
| 216 | + h.delete("a") |
| 217 | + h.delete("b") |
| 218 | + h.delete("c") |
| 219 | + h.delete("d") |
| 220 | + h.delete("e") |
| 221 | + h.delete("f") |
| 222 | + h.delete("g") |
| 223 | + print "All tests passed" |
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