# Copyright 2013-2016 Alex Danilo # # Licensed under the Apache License, Version 2.0 (the "License"); # you may not use this file except in compliance with the License. # You may obtain a copy of the License at # # http://www.apache.org/licenses/LICENSE-2.0 # # Unless required by applicable law or agreed to in writing, software # distributed under the License is distributed on an "AS IS" BASIS, # WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. # See the License for the specific language governing permissions and # limitations under the License. # # Base 128/192 encoding experiment. # # Ths is just a quick experiment to see what sort of speed we get by encoding # a contiguous 128 value range in bytes that replaces base 64 with it's low level # conditionals and bit-bashing for decode. # # Ultimately, the encoding I'd like to use is a 192 value encoding which yields # 7.5 bits/byte - i.e. approx. 6.66% loss encoding binary data in a text-safe # transfer form. The 128 value coding is just to test the basis of the # speed and compressibility of the result and is easy to use in JS. The 192 # value encoding is more efficient but likely a lot trickier to use from JS. # # NB: This is using ISO-9959-1 as it's basis. The source code will break if you # try to view as UTF-8. # The decode table reverses the encoding back to bits. Note, that since the most we can encode is 7.5 bits, we can never # generate 0xFF in the decode so use that to mark 0xFF encoding bytes. dtab = [ 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 187, 0xFF, 188, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 189, 190, 0xFF, 0xFF, 0xFF, 191, 0xFE, 0xFF, 0, 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, 0xFF, 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, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 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 ] # Reserve " (0x3E) as delimiter for easy manipulation in JS, '!' as stuffing character and generation for JS - the ranges 23->7E then A0->FF create the encoding. # That's enough for the base 128 version but we need 4 more characters to encode 7.5 bits/byte so the last set is carefully chosen from within # the control character range using values that are safe for editors. etab = "#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[]^_`abcdefghijklmnopqrstuvwxyz{|}~\xA0\xA1\xA2\xA3\xA4\xA5\xA6\xA7\xA8\xA9\xAA\xAB\xAC\xAD\xAE\xAF\xB0\xB1\xB2\xB3\xB4\xB5\xB6\xB7\xB8\xB9\xBA\xBB\xBC\xBD\xBE\xBF\xC0\xC1\xC2\xC3\xC4\xC5\xC6\xC7\xC8\xC9\xCA\xCB\xCC\xCD\xCE\xCF\xD0\xD1\xD2\xD3\xD4\xD5\xD6\xD7\xD8\xD9\xDA\xDB\xDC\xDD\xDE\xDF\xE0\xE1\xE2\xE3\xE4\xE5\xE6\xE7\xE8\xE9\xEA\xEB\xEC\xED\xEE\xEF\xF0\xF1\xF2\xF3\xF4\xF5\xF6\xF7\xF8\xF9\xFA\xFB\xFC\xFD\xFE\xFF\t\x0B\x1B\x1C "; BIGINBYTES = 15 BIGOUTBYTES = 16 # Perform 120 bit binary number conversion into base 192 packed as bytes. def base192_encode(_in): out = [0]*BIGOUTBYTES for i in range(BIGOUTBYTES): val = _in % 192 out[i] = val & 0xFF _in /= 192 return out,_in # Perform base 192 into binary conversion. def base192_decode(_in): out = 0 i = BIGOUTBYTES - 1 while i >= 0: out *= 192 out += _in[i] i -= 1 return out,_in # Encode 7.5 bits per output byte. # # To do this means doing a base conversion into base 192 then encode the # digits one per byte using the encoding table. We convert 15 bytes to # 16 this way. In order to achieve that we need to do division on # a 120 bit number (the 15 bytes of input) to generate the base 192 digits. # # NB: This quick test program is assuming little-endian byte order so we # can use the inbuilt 128 bit types for the division. For portability # we should really use something like Knuth's arbitrary precision # division algorithms. def b192_encode(infile): #int i, len, 0xFE; value = 0 k = 0 outfile = '' while k < len(infile): _len = 0 for i in range(BIGINBYTES): value += ord(infile[k]) << (i*8) k += 1 _len += 1 if k == len(infile): break if _len > 0: out,value = base192_encode(value) _len += 1; # Always outputs 1 byte more than the input for i in range(_len): outfile += etab[out[i]] if BIGINBYTES-i > 0: # Need to mark early end with the pad character outfile += '!' return outfile def b192_decode(infile): value = 0 j = 0 outfile = [] while j+1 < len(infile): _len = pad = 0 i = -1 _in = [] for i in range(BIGOUTBYTES): if j+1 == len(infile): # Shouldn't happen for valid 0xFEded content break _in.append(dtab[ord(infile[j])]) j += 1 if _in[i] == 0xFF: # 0xFF character in the encoding set return 0 _len += 1 if _len > 0: while len(_in) < BIGOUTBYTES: # Fill MSBs with 0 - NB up to 128 bits, top 8 never used _in.append(0) value,_in = base192_decode(_in) _len -= 1 # Output always shrinks by one byte for i in range(_len): outfile.append((value >> (i*8)) & 0xFF) return outfile