text:
const HUFFMAN_SYMBOL_TABLE =
    [
     [13 0x1ff8]
     [23 0x7fffd8]
     [28 0xfffffe2]
     [28 0xfffffe3]
     [28 0xfffffe4]
     [28 0xfffffe5]
     [28 0xfffffe6]
     [28 0xfffffe7]
     [28 0xfffffe8]
     [24 0xffffea]
     [30 0x3ffffffc]
     [28 0xfffffe9]
     [28 0xfffffea]
     [30 0x3ffffffd]
     [28 0xfffffeb]
     [28 0xfffffec]
     [28 0xfffffed]
     [28 0xfffffee]
     [28 0xfffffef]
     [28 0xffffff0]
     [28 0xffffff1]
     [28 0xffffff2]
     [30 0x3ffffffe]
     [28 0xffffff3]
     [28 0xffffff4]
     [28 0xffffff5]
     [28 0xffffff6]
     [28 0xffffff7]
     [28 0xffffff8]
     [28 0xffffff9]
     [28 0xffffffa]
     [28 0xffffffb]
     [6  0x14]
     [10 0x3f8]
     [10 0x3f9]
     [12 0xffa]
     [13 0x1ff9]
     [6  0x15]
     [8  0xf8]
     [11 0x7fa]
     [10 0x3fa]
     [10 0x3fb]
     [8  0xf9]
     [11 0x7fb]
     [8  0xfa]
     [6  0x16]
     [6  0x17]
     [6  0x18]
     [5  0x0]
     [5  0x1]
     [5  0x2]
     [6  0x19]
     [6  0x1a]
     [6  0x1b]
     [6  0x1c]
     [6  0x1d]
     [6  0x1e]
     [6  0x1f]
     [7  0x5c]
     [8  0xfb]
     [15 0x7ffc]
     [6  0x20]
     [12 0xffb]
     [10 0x3fc]
     [13 0x1ffa]
     [6  0x21]
     [7  0x5d]
     [7  0x5e]
     [7  0x5f]
     [7  0x60]
     [7  0x61]
     [7  0x62]
     [7  0x63]
     [7  0x64]
     [7  0x65]
     [7  0x66]
     [7  0x67]
     [7  0x68]
     [7  0x69]
     [7  0x6a]
     [7  0x6b]
     [7  0x6c]
     [7  0x6d]
     [7  0x6e]
     [7  0x6f]
     [7  0x70]
     [7  0x71]
     [7  0x72]
     [8  0xfc]
     [7  0x73]
     [8  0xfd]
     [13 0x1ffb]
     [19 0x7fff0]
     [13 0x1ffc]
     [14 0x3ffc]
     [6  0x22]
     [15 0x7ffd]
     [5  0x3]
     [6  0x23]
     [5  0x4]
     [6  0x24]
     [5  0x5]
     [6  0x25]
     [6  0x26]
     [6  0x27]
     [5  0x6]
     [7  0x74]
     [7  0x75]
     [6  0x28]
     [6  0x29]
     [6  0x2a]
     [5  0x7]
     [6  0x2b]
     [7  0x76]
     [6  0x2c]
     [5  0x8]
     [5  0x9]
     [6  0x2d]
     [7  0x77]
     [7  0x78]
     [7  0x79]
     [7  0x7a]
     [7  0x7b]
     [15 0x7ffe]
     [11 0x7fc]
     [14 0x3ffd]
     [13 0x1ffd]
     [28 0xffffffc]
     [20 0xfffe6]
     [22 0x3fffd2]
     [20 0xfffe7]
     [20 0xfffe8]
     [22 0x3fffd3]
     [22 0x3fffd4]
     [22 0x3fffd5]
     [23 0x7fffd9]
     [22 0x3fffd6]
     [23 0x7fffda]
     [23 0x7fffdb]
     [23 0x7fffdc]
     [23 0x7fffdd]
     [23 0x7fffde]
     [24 0xffffeb]
     [23 0x7fffdf]
     [24 0xffffec]
     [24 0xffffed]
     [22 0x3fffd7]
     [23 0x7fffe0]
     [24 0xffffee]
     [23 0x7fffe1]
     [23 0x7fffe2]
     [23 0x7fffe3]
     [23 0x7fffe4]
     [21 0x1fffdc]
     [22 0x3fffd8]
     [23 0x7fffe5]
     [22 0x3fffd9]
     [23 0x7fffe6]
     [23 0x7fffe7]
     [24 0xffffef]
     [22 0x3fffda]
     [21 0x1fffdd]
     [20 0xfffe9]
     [22 0x3fffdb]
     [22 0x3fffdc]
     [23 0x7fffe8]
     [23 0x7fffe9]
     [21 0x1fffde]
     [23 0x7fffea]
     [22 0x3fffdd]
     [22 0x3fffde]
     [24 0xfffff0]
     [21 0x1fffdf]
     [22 0x3fffdf]
     [23 0x7fffeb]
     [23 0x7fffec]
     [21 0x1fffe0]
     [21 0x1fffe1]
     [22 0x3fffe0]
     [21 0x1fffe2]
     [23 0x7fffed]
     [22 0x3fffe1]
     [23 0x7fffee]
     [23 0x7fffef]
     [20 0xfffea]
     [22 0x3fffe2]
     [22 0x3fffe3]
     [22 0x3fffe4]
     [23 0x7ffff0]
     [22 0x3fffe5]
     [22 0x3fffe6]
     [23 0x7ffff1]
     [26 0x3ffffe0]
     [26 0x3ffffe1]
     [20 0xfffeb]
     [19 0x7fff1]
     [22 0x3fffe7]
     [23 0x7ffff2]
     [22 0x3fffe8]
     [25 0x1ffffec]
     [26 0x3ffffe2]
     [26 0x3ffffe3]
     [26 0x3ffffe4]
     [27 0x7ffffde]
     [27 0x7ffffdf]
     [26 0x3ffffe5]
     [24 0xfffff1]
     [25 0x1ffffed]
     [19 0x7fff2]
     [21 0x1fffe3]
     [26 0x3ffffe6]
     [27 0x7ffffe0]
     [27 0x7ffffe1]
     [26 0x3ffffe7]
     [27 0x7ffffe2]
     [24 0xfffff2]
     [21 0x1fffe4]
     [21 0x1fffe5]
     [26 0x3ffffe8]
     [26 0x3ffffe9]
     [28 0xffffffd]
     [27 0x7ffffe3]
     [27 0x7ffffe4]
     [27 0x7ffffe5]
     [20 0xfffec]
     [24 0xfffff3]
     [20 0xfffed]
     [21 0x1fffe6]
     [22 0x3fffe9]
     [21 0x1fffe7]
     [21 0x1fffe8]
     [23 0x7ffff3]
     [22 0x3fffea]
     [22 0x3fffeb]
     [25 0x1ffffee]
     [25 0x1ffffef]
     [24 0xfffff4]
     [24 0xfffff5]
     [26 0x3ffffea]
     [23 0x7ffff4]
     [26 0x3ffffeb]
     [27 0x7ffffe6]
     [26 0x3ffffec]
     [26 0x3ffffed]
     [27 0x7ffffe7]
     [27 0x7ffffe8]
     [27 0x7ffffe9]
     [27 0x7ffffea]
     [27 0x7ffffeb]
     [28 0xffffffe]
     [27 0x7ffffec]
     [27 0x7ffffed]
     [27 0x7ffffee]
     [27 0x7ffffef]
     [27 0x7fffff0]
     [26 0x3ffffee]
     [30 0x3fffffff]
     ]

const HUFFMAN_DECODE_TABLE =
    UInt8[
     [
      [4 0x00 0]
      [5 0x00 0]
      [7 0x00 0]
      [8 0x00 0]
      [11 0x00 0]
      [12 0x00 0]
      [16 0x00 0]
      [19 0x00 0]
      [25 0x00 0]
      [28 0x00 0]
      [32 0x00 0]
      [35 0x00 0]
      [42 0x00 0]
      [49 0x00 0]
      [57 0x00 0]
      [64 0x01 0]
      ]

     [
      [0 0x03 48]
      [0 0x03 49]
      [0 0x03 50]
      [0 0x03 97]
      [0 0x03 99]
      [0 0x03 101]
      [0 0x03 105]
      [0 0x03 111]
      [0 0x03 115]
      [0 0x03 116]
      [13 0x00 0]
      [14 0x00 0]
      [17 0x00 0]
      [18 0x00 0]
      [20 0x00 0]
      [21 0x00 0]
      ]

     [
      [1 0x02 48]
      [22 0x03 48]
      [1 0x02 49]
      [22 0x03 49]
      [1 0x02 50]
      [22 0x03 50]
      [1 0x02 97]
      [22 0x03 97]
      [1 0x02 99]
      [22 0x03 99]
      [1 0x02 101]
      [22 0x03 101]
      [1 0x02 105]
      [22 0x03 105]
      [1 0x02 111]
      [22 0x03 111]
      ]

     [
      [2 0x02 48]
      [9 0x02 48]
      [23 0x02 48]
      [40 0x03 48]
      [2 0x02 49]
      [9 0x02 49]
      [23 0x02 49]
      [40 0x03 49]
      [2 0x02 50]
      [9 0x02 50]
      [23 0x02 50]
      [40 0x03 50]
      [2 0x02 97]
      [9 0x02 97]
      [23 0x02 97]
      [40 0x03 97]
      ]

     [
      [3 0x02 48]
      [6 0x02 48]
      [10 0x02 48]
      [15 0x02 48]
      [24 0x02 48]
      [31 0x02 48]
      [41 0x02 48]
      [56 0x03 48]
      [3 0x02 49]
      [6 0x02 49]
      [10 0x02 49]
      [15 0x02 49]
      [24 0x02 49]
      [31 0x02 49]
      [41 0x02 49]
      [56 0x03 49]
      ]

     [
      [3 0x02 50]
      [6 0x02 50]
      [10 0x02 50]
      [15 0x02 50]
      [24 0x02 50]
      [31 0x02 50]
      [41 0x02 50]
      [56 0x03 50]
      [3 0x02 97]
      [6 0x02 97]
      [10 0x02 97]
      [15 0x02 97]
      [24 0x02 97]
      [31 0x02 97]
      [41 0x02 97]
      [56 0x03 97]
      ]

     [
      [2 0x02 99]
      [9 0x02 99]
      [23 0x02 99]
      [40 0x03 99]
      [2 0x02 101]
      [9 0x02 101]
      [23 0x02 101]
      [40 0x03 101]
      [2 0x02 105]
      [9 0x02 105]
      [23 0x02 105]
      [40 0x03 105]
      [2 0x02 111]
      [9 0x02 111]
      [23 0x02 111]
      [40 0x03 111]
      ]

     [
      [3 0x02 99]
      [6 0x02 99]
      [10 0x02 99]
      [15 0x02 99]
      [24 0x02 99]
      [31 0x02 99]
      [41 0x02 99]
      [56 0x03 99]
      [3 0x02 101]
      [6 0x02 101]
      [10 0x02 101]
      [15 0x02 101]
      [24 0x02 101]
      [31 0x02 101]
      [41 0x02 101]
      [56 0x03 101]
      ]

     [
      [3 0x02 105]
      [6 0x02 105]
      [10 0x02 105]
      [15 0x02 105]
      [24 0x02 105]
      [31 0x02 105]
      [41 0x02 105]
      [56 0x03 105]
      [3 0x02 111]
      [6 0x02 111]
      [10 0x02 111]
      [15 0x02 111]
      [24 0x02 111]
      [31 0x02 111]
      [41 0x02 111]
      [56 0x03 111]
      ]

     [
      [1 0x02 115]
      [22 0x03 115]
      [1 0x02 116]
      [22 0x03 116]
      [0 0x03 32]
      [0 0x03 37]
      [0 0x03 45]
      [0 0x03 46]
      [0 0x03 47]
      [0 0x03 51]
      [0 0x03 52]
      [0 0x03 53]
      [0 0x03 54]
      [0 0x03 55]
      [0 0x03 56]
      [0 0x03 57]
      ]

     [
      [2 0x02 115]
      [9 0x02 115]
      [23 0x02 115]
      [40 0x03 115]
      [2 0x02 116]
      [9 0x02 116]
      [23 0x02 116]
      [40 0x03 116]
      [1 0x02 32]
      [22 0x03 32]
      [1 0x02 37]
      [22 0x03 37]
      [1 0x02 45]
      [22 0x03 45]
      [1 0x02 46]
      [22 0x03 46]
      ]

     [
      [3 0x02 115]
      [6 0x02 115]
      [10 0x02 115]
      [15 0x02 115]
      [24 0x02 115]
      [31 0x02 115]
      [41 0x02 115]
      [56 0x03 115]
      [3 0x02 116]
      [6 0x02 116]
      [10 0x02 116]
      [15 0x02 116]
      [24 0x02 116]
      [31 0x02 116]
      [41 0x02 116]
      [56 0x03 116]
      ]

     [
      [2 0x02 32]
      [9 0x02 32]
      [23 0x02 32]
      [40 0x03 32]
      [2 0x02 37]
      [9 0x02 37]
      [23 0x02 37]
      [40 0x03 37]
      [2 0x02 45]
      [9 0x02 45]
      [23 0x02 45]
      [40 0x03 45]
      [2 0x02 46]
      [9 0x02 46]
      [23 0x02 46]
      [40 0x03 46]
      ]

     [
      [3 0x02 32]
      [6 0x02 32]
      [10 0x02 32]
      [15 0x02 32]
      [24 0x02 32]
      [31 0x02 32]
      [41 0x02 32]
      [56 0x03 32]
      [3 0x02 37]
      [6 0x02 37]
      [10 0x02 37]
      [15 0x02 37]
      [24 0x02 37]
      [31 0x02 37]
      [41 0x02 37]
      [56 0x03 37]
      ]

     [
      [3 0x02 45]
      [6 0x02 45]
      [10 0x02 45]
      [15 0x02 45]
      [24 0x02 45]
      [31 0x02 45]
      [41 0x02 45]
      [56 0x03 45]
      [3 0x02 46]
      [6 0x02 46]
      [10 0x02 46]
      [15 0x02 46]
      [24 0x02 46]
      [31 0x02 46]
      [41 0x02 46]
      [56 0x03 46]
      ]

     [
      [1 0x02 47]
      [22 0x03 47]
      [1 0x02 51]
      [22 0x03 51]
      [1 0x02 52]
      [22 0x03 52]
      [1 0x02 53]
      [22 0x03 53]
      [1 0x02 54]
      [22 0x03 54]
      [1 0x02 55]
      [22 0x03 55]
      [1 0x02 56]
      [22 0x03 56]
      [1 0x02 57]
      [22 0x03 57]
      ]

     [
      [2 0x02 47]
      [9 0x02 47]
      [23 0x02 47]
      [40 0x03 47]
      [2 0x02 51]
      [9 0x02 51]
      [23 0x02 51]
      [40 0x03 51]
      [2 0x02 52]
      [9 0x02 52]
      [23 0x02 52]
      [40 0x03 52]
      [2 0x02 53]
      [9 0x02 53]
      [23 0x02 53]
      [40 0x03 53]
      ]

     [
      [3 0x02 47]
      [6 0x02 47]
      [10 0x02 47]
      [15 0x02 47]
      [24 0x02 47]
      [31 0x02 47]
      [41 0x02 47]
      [56 0x03 47]
      [3 0x02 51]
      [6 0x02 51]
      [10 0x02 51]
      [15 0x02 51]
      [24 0x02 51]
      [31 0x02 51]
      [41 0x02 51]
      [56 0x03 51]
      ]

     [
      [3 0x02 52]
      [6 0x02 52]
      [10 0x02 52]
      [15 0x02 52]
      [24 0x02 52]
      [31 0x02 52]
      [41 0x02 52]
      [56 0x03 52]
      [3 0x02 53]
      [6 0x02 53]
      [10 0x02 53]
      [15 0x02 53]
      [24 0x02 53]
      [31 0x02 53]
      [41 0x02 53]
      [56 0x03 53]
      ]

     [
      [2 0x02 54]
      [9 0x02 54]
      [23 0x02 54]
      [40 0x03 54]
      [2 0x02 55]
      [9 0x02 55]
      [23 0x02 55]
      [40 0x03 55]
      [2 0x02 56]
      [9 0x02 56]
      [23 0x02 56]
      [40 0x03 56]
      [2 0x02 57]
      [9 0x02 57]
      [23 0x02 57]
      [40 0x03 57]
      ]

     [
      [3 0x02 54]
      [6 0x02 54]
      [10 0x02 54]
      [15 0x02 54]
      [24 0x02 54]
      [31 0x02 54]
      [41 0x02 54]
      [56 0x03 54]
      [3 0x02 55]
      [6 0x02 55]
      [10 0x02 55]
      [15 0x02 55]
      [24 0x02 55]
      [31 0x02 55]
      [41 0x02 55]
      [56 0x03 55]
      ]

     [
      [3 0x02 56]
      [6 0x02 56]
      [10 0x02 56]
      [15 0x02 56]
      [24 0x02 56]
      [31 0x02 56]
      [41 0x02 56]
      [56 0x03 56]
      [3 0x02 57]
      [6 0x02 57]
      [10 0x02 57]
      [15 0x02 57]
      [24 0x02 57]
      [31 0x02 57]
      [41 0x02 57]
      [56 0x03 57]
      ]

     [
      [26 0x00 0]
      [27 0x00 0]
      [29 0x00 0]
      [30 0x00 0]
      [33 0x00 0]
      [34 0x00 0]
      [36 0x00 0]
      [37 0x00 0]
      [43 0x00 0]
      [46 0x00 0]
      [50 0x00 0]
      [53 0x00 0]
      [58 0x00 0]
      [61 0x00 0]
      [65 0x00 0]
      [68 0x01 0]
      ]

     [
      [0 0x03 61]
      [0 0x03 65]
      [0 0x03 95]
      [0 0x03 98]
      [0 0x03 100]
      [0 0x03 102]
      [0 0x03 103]
      [0 0x03 104]
      [0 0x03 108]
      [0 0x03 109]
      [0 0x03 110]
      [0 0x03 112]
      [0 0x03 114]
      [0 0x03 117]
      [38 0x00 0]
      [39 0x00 0]
      ]

     [
      [1 0x02 61]
      [22 0x03 61]
      [1 0x02 65]
      [22 0x03 65]
      [1 0x02 95]
      [22 0x03 95]
      [1 0x02 98]
      [22 0x03 98]
      [1 0x02 100]
      [22 0x03 100]
      [1 0x02 102]
      [22 0x03 102]
      [1 0x02 103]
      [22 0x03 103]
      [1 0x02 104]
      [22 0x03 104]
      ]

     [
      [2 0x02 61]
      [9 0x02 61]
      [23 0x02 61]
      [40 0x03 61]
      [2 0x02 65]
      [9 0x02 65]
      [23 0x02 65]
      [40 0x03 65]
      [2 0x02 95]
      [9 0x02 95]
      [23 0x02 95]
      [40 0x03 95]
      [2 0x02 98]
      [9 0x02 98]
      [23 0x02 98]
      [40 0x03 98]
      ]

     [
      [3 0x02 61]
      [6 0x02 61]
      [10 0x02 61]
      [15 0x02 61]
      [24 0x02 61]
      [31 0x02 61]
      [41 0x02 61]
      [56 0x03 61]
      [3 0x02 65]
      [6 0x02 65]
      [10 0x02 65]
      [15 0x02 65]
      [24 0x02 65]
      [31 0x02 65]
      [41 0x02 65]
      [56 0x03 65]
      ]

     [
      [3 0x02 95]
      [6 0x02 95]
      [10 0x02 95]
      [15 0x02 95]
      [24 0x02 95]
      [31 0x02 95]
      [41 0x02 95]
      [56 0x03 95]
      [3 0x02 98]
      [6 0x02 98]
      [10 0x02 98]
      [15 0x02 98]
      [24 0x02 98]
      [31 0x02 98]
      [41 0x02 98]
      [56 0x03 98]
      ]

     [
      [2 0x02 100]
      [9 0x02 100]
      [23 0x02 100]
      [40 0x03 100]
      [2 0x02 102]
      [9 0x02 102]
      [23 0x02 102]
      [40 0x03 102]
      [2 0x02 103]
      [9 0x02 103]
      [23 0x02 103]
      [40 0x03 103]
      [2 0x02 104]
      [9 0x02 104]
      [23 0x02 104]
      [40 0x03 104]
      ]

     [
      [3 0x02 100]
      [6 0x02 100]
      [10 0x02 100]
      [15 0x02 100]
      [24 0x02 100]
      [31 0x02 100]
      [41 0x02 100]
      [56 0x03 100]
      [3 0x02 102]
      [6 0x02 102]
      [10 0x02 102]
      [15 0x02 102]
      [24 0x02 102]
      [31 0x02 102]
      [41 0x02 102]
      [56 0x03 102]
      ]

     [
      [3 0x02 103]
      [6 0x02 103]
      [10 0x02 103]
      [15 0x02 103]
      [24 0x02 103]
      [31 0x02 103]
      [41 0x02 103]
      [56 0x03 103]
      [3 0x02 104]
      [6 0x02 104]
      [10 0x02 104]
      [15 0x02 104]
      [24 0x02 104]
      [31 0x02 104]
      [41 0x02 104]
      [56 0x03 104]
      ]

     [
      [1 0x02 108]
      [22 0x03 108]
      [1 0x02 109]
      [22 0x03 109]
      [1 0x02 110]
      [22 0x03 110]
      [1 0x02 112]
      [22 0x03 112]
      [1 0x02 114]
      [22 0x03 114]
      [1 0x02 117]
      [22 0x03 117]
      [0 0x03 58]
      [0 0x03 66]
      [0 0x03 67]
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      [15 0x02 254]
      [24 0x02 254]
      [31 0x02 254]
      [41 0x02 254]
      [56 0x03 254]
      [2 0x02 2]
      [9 0x02 2]
      [23 0x02 2]
      [40 0x03 2]
      [2 0x02 3]
      [9 0x02 3]
      [23 0x02 3]
      [40 0x03 3]
      ]

     [
      [3 0x02 2]
      [6 0x02 2]
      [10 0x02 2]
      [15 0x02 2]
      [24 0x02 2]
      [31 0x02 2]
      [41 0x02 2]
      [56 0x03 2]
      [3 0x02 3]
      [6 0x02 3]
      [10 0x02 3]
      [15 0x02 3]
      [24 0x02 3]
      [31 0x02 3]
      [41 0x02 3]
      [56 0x03 3]
      ]

     [
      [2 0x02 4]
      [9 0x02 4]
      [23 0x02 4]
      [40 0x03 4]
      [2 0x02 5]
      [9 0x02 5]
      [23 0x02 5]
      [40 0x03 5]
      [2 0x02 6]
      [9 0x02 6]
      [23 0x02 6]
      [40 0x03 6]
      [2 0x02 7]
      [9 0x02 7]
      [23 0x02 7]
      [40 0x03 7]
      ]

     [
      [3 0x02 4]
      [6 0x02 4]
      [10 0x02 4]
      [15 0x02 4]
      [24 0x02 4]
      [31 0x02 4]
      [41 0x02 4]
      [56 0x03 4]
      [3 0x02 5]
      [6 0x02 5]
      [10 0x02 5]
      [15 0x02 5]
      [24 0x02 5]
      [31 0x02 5]
      [41 0x02 5]
      [56 0x03 5]
      ]

     [
      [3 0x02 6]
      [6 0x02 6]
      [10 0x02 6]
      [15 0x02 6]
      [24 0x02 6]
      [31 0x02 6]
      [41 0x02 6]
      [56 0x03 6]
      [3 0x02 7]
      [6 0x02 7]
      [10 0x02 7]
      [15 0x02 7]
      [24 0x02 7]
      [31 0x02 7]
      [41 0x02 7]
      [56 0x03 7]
      ]

     [
      [1 0x02 8]
      [22 0x03 8]
      [1 0x02 11]
      [22 0x03 11]
      [1 0x02 12]
      [22 0x03 12]
      [1 0x02 14]
      [22 0x03 14]
      [1 0x02 15]
      [22 0x03 15]
      [1 0x02 16]
      [22 0x03 16]
      [1 0x02 17]
      [22 0x03 17]
      [1 0x02 18]
      [22 0x03 18]
      ]

     [
      [2 0x02 8]
      [9 0x02 8]
      [23 0x02 8]
      [40 0x03 8]
      [2 0x02 11]
      [9 0x02 11]
      [23 0x02 11]
      [40 0x03 11]
      [2 0x02 12]
      [9 0x02 12]
      [23 0x02 12]
      [40 0x03 12]
      [2 0x02 14]
      [9 0x02 14]
      [23 0x02 14]
      [40 0x03 14]
      ]

     [
      [3 0x02 8]
      [6 0x02 8]
      [10 0x02 8]
      [15 0x02 8]
      [24 0x02 8]
      [31 0x02 8]
      [41 0x02 8]
      [56 0x03 8]
      [3 0x02 11]
      [6 0x02 11]
      [10 0x02 11]
      [15 0x02 11]
      [24 0x02 11]
      [31 0x02 11]
      [41 0x02 11]
      [56 0x03 11]
      ]

     [
      [3 0x02 12]
      [6 0x02 12]
      [10 0x02 12]
      [15 0x02 12]
      [24 0x02 12]
      [31 0x02 12]
      [41 0x02 12]
      [56 0x03 12]
      [3 0x02 14]
      [6 0x02 14]
      [10 0x02 14]
      [15 0x02 14]
      [24 0x02 14]
      [31 0x02 14]
      [41 0x02 14]
      [56 0x03 14]
      ]

     [
      [2 0x02 15]
      [9 0x02 15]
      [23 0x02 15]
      [40 0x03 15]
      [2 0x02 16]
      [9 0x02 16]
      [23 0x02 16]
      [40 0x03 16]
      [2 0x02 17]
      [9 0x02 17]
      [23 0x02 17]
      [40 0x03 17]
      [2 0x02 18]
      [9 0x02 18]
      [23 0x02 18]
      [40 0x03 18]
      ]

     [
      [3 0x02 15]
      [6 0x02 15]
      [10 0x02 15]
      [15 0x02 15]
      [24 0x02 15]
      [31 0x02 15]
      [41 0x02 15]
      [56 0x03 15]
      [3 0x02 16]
      [6 0x02 16]
      [10 0x02 16]
      [15 0x02 16]
      [24 0x02 16]
      [31 0x02 16]
      [41 0x02 16]
      [56 0x03 16]
      ]

     [
      [3 0x02 17]
      [6 0x02 17]
      [10 0x02 17]
      [15 0x02 17]
      [24 0x02 17]
      [31 0x02 17]
      [41 0x02 17]
      [56 0x03 17]
      [3 0x02 18]
      [6 0x02 18]
      [10 0x02 18]
      [15 0x02 18]
      [24 0x02 18]
      [31 0x02 18]
      [41 0x02 18]
      [56 0x03 18]
      ]

     [
      [0 0x03 19]
      [0 0x03 20]
      [0 0x03 21]
      [0 0x03 23]
      [0 0x03 24]
      [0 0x03 25]
      [0 0x03 26]
      [0 0x03 27]
      [0 0x03 28]
      [0 0x03 29]
      [0 0x03 30]
      [0 0x03 31]
      [0 0x03 127]
      [0 0x03 220]
      [0 0x03 249]
      [253 0x00 0]
      ]

     [
      [1 0x02 19]
      [22 0x03 19]
      [1 0x02 20]
      [22 0x03 20]
      [1 0x02 21]
      [22 0x03 21]
      [1 0x02 23]
      [22 0x03 23]
      [1 0x02 24]
      [22 0x03 24]
      [1 0x02 25]
      [22 0x03 25]
      [1 0x02 26]
      [22 0x03 26]
      [1 0x02 27]
      [22 0x03 27]
      ]

     [
      [2 0x02 19]
      [9 0x02 19]
      [23 0x02 19]
      [40 0x03 19]
      [2 0x02 20]
      [9 0x02 20]
      [23 0x02 20]
      [40 0x03 20]
      [2 0x02 21]
      [9 0x02 21]
      [23 0x02 21]
      [40 0x03 21]
      [2 0x02 23]
      [9 0x02 23]
      [23 0x02 23]
      [40 0x03 23]
      ]

     [
      [3 0x02 19]
      [6 0x02 19]
      [10 0x02 19]
      [15 0x02 19]
      [24 0x02 19]
      [31 0x02 19]
      [41 0x02 19]
      [56 0x03 19]
      [3 0x02 20]
      [6 0x02 20]
      [10 0x02 20]
      [15 0x02 20]
      [24 0x02 20]
      [31 0x02 20]
      [41 0x02 20]
      [56 0x03 20]
      ]

     [
      [3 0x02 21]
      [6 0x02 21]
      [10 0x02 21]
      [15 0x02 21]
      [24 0x02 21]
      [31 0x02 21]
      [41 0x02 21]
      [56 0x03 21]
      [3 0x02 23]
      [6 0x02 23]
      [10 0x02 23]
      [15 0x02 23]
      [24 0x02 23]
      [31 0x02 23]
      [41 0x02 23]
      [56 0x03 23]
      ]

     [
      [2 0x02 24]
      [9 0x02 24]
      [23 0x02 24]
      [40 0x03 24]
      [2 0x02 25]
      [9 0x02 25]
      [23 0x02 25]
      [40 0x03 25]
      [2 0x02 26]
      [9 0x02 26]
      [23 0x02 26]
      [40 0x03 26]
      [2 0x02 27]
      [9 0x02 27]
      [23 0x02 27]
      [40 0x03 27]
      ]

     [
      [3 0x02 24]
      [6 0x02 24]
      [10 0x02 24]
      [15 0x02 24]
      [24 0x02 24]
      [31 0x02 24]
      [41 0x02 24]
      [56 0x03 24]
      [3 0x02 25]
      [6 0x02 25]
      [10 0x02 25]
      [15 0x02 25]
      [24 0x02 25]
      [31 0x02 25]
      [41 0x02 25]
      [56 0x03 25]
      ]

     [
      [3 0x02 26]
      [6 0x02 26]
      [10 0x02 26]
      [15 0x02 26]
      [24 0x02 26]
      [31 0x02 26]
      [41 0x02 26]
      [56 0x03 26]
      [3 0x02 27]
      [6 0x02 27]
      [10 0x02 27]
      [15 0x02 27]
      [24 0x02 27]
      [31 0x02 27]
      [41 0x02 27]
      [56 0x03 27]
      ]

     [
      [1 0x02 28]
      [22 0x03 28]
      [1 0x02 29]
      [22 0x03 29]
      [1 0x02 30]
      [22 0x03 30]
      [1 0x02 31]
      [22 0x03 31]
      [1 0x02 127]
      [22 0x03 127]
      [1 0x02 220]
      [22 0x03 220]
      [1 0x02 249]
      [22 0x03 249]
      [254 0x00 0]
      [255 0x00 0]
      ]

     [
      [2 0x02 28]
      [9 0x02 28]
      [23 0x02 28]
      [40 0x03 28]
      [2 0x02 29]
      [9 0x02 29]
      [23 0x02 29]
      [40 0x03 29]
      [2 0x02 30]
      [9 0x02 30]
      [23 0x02 30]
      [40 0x03 30]
      [2 0x02 31]
      [9 0x02 31]
      [23 0x02 31]
      [40 0x03 31]
      ]

     [
      [3 0x02 28]
      [6 0x02 28]
      [10 0x02 28]
      [15 0x02 28]
      [24 0x02 28]
      [31 0x02 28]
      [41 0x02 28]
      [56 0x03 28]
      [3 0x02 29]
      [6 0x02 29]
      [10 0x02 29]
      [15 0x02 29]
      [24 0x02 29]
      [31 0x02 29]
      [41 0x02 29]
      [56 0x03 29]
      ]

     [
      [3 0x02 30]
      [6 0x02 30]
      [10 0x02 30]
      [15 0x02 30]
      [24 0x02 30]
      [31 0x02 30]
      [41 0x02 30]
      [56 0x03 30]
      [3 0x02 31]
      [6 0x02 31]
      [10 0x02 31]
      [15 0x02 31]
      [24 0x02 31]
      [31 0x02 31]
      [41 0x02 31]
      [56 0x03 31]
      ]

     [
      [2 0x02 127]
      [9 0x02 127]
      [23 0x02 127]
      [40 0x03 127]
      [2 0x02 220]
      [9 0x02 220]
      [23 0x02 220]
      [40 0x03 220]
      [2 0x02 249]
      [9 0x02 249]
      [23 0x02 249]
      [40 0x03 249]
      [0 0x03 10]
      [0 0x03 13]
      [0 0x03 22]
      [0 0x04 0]
      ]

     [
      [3 0x02 127]
      [6 0x02 127]
      [10 0x02 127]
      [15 0x02 127]
      [24 0x02 127]
      [31 0x02 127]
      [41 0x02 127]
      [56 0x03 127]
      [3 0x02 220]
      [6 0x02 220]
      [10 0x02 220]
      [15 0x02 220]
      [24 0x02 220]
      [31 0x02 220]
      [41 0x02 220]
      [56 0x03 220]
      ]

     [
      [3 0x02 249]
      [6 0x02 249]
      [10 0x02 249]
      [15 0x02 249]
      [24 0x02 249]
      [31 0x02 249]
      [41 0x02 249]
      [56 0x03 249]
      [1 0x02 10]
      [22 0x03 10]
      [1 0x02 13]
      [22 0x03 13]
      [1 0x02 22]
      [22 0x03 22]
      [0 0x04 0]
      [0 0x04 0]
      ]

     [
      [2 0x02 10]
      [9 0x02 10]
      [23 0x02 10]
      [40 0x03 10]
      [2 0x02 13]
      [9 0x02 13]
      [23 0x02 13]
      [40 0x03 13]
      [2 0x02 22]
      [9 0x02 22]
      [23 0x02 22]
      [40 0x03 22]
      [0 0x04 0]
      [0 0x04 0]
      [0 0x04 0]
      [0 0x04 0]
      ]

     [
      [3 0x02 10]
      [6 0x02 10]
      [10 0x02 10]
      [15 0x02 10]
      [24 0x02 10]
      [31 0x02 10]
      [41 0x02 10]
      [56 0x03 10]
      [3 0x02 13]
      [6 0x02 13]
      [10 0x02 13]
      [15 0x02 13]
      [24 0x02 13]
      [31 0x02 13]
      [41 0x02 13]
      [56 0x03 13]
      ]

     [
      [3 0x02 22]
      [6 0x02 22]
      [10 0x02 22]
      [15 0x02 22]
      [24 0x02 22]
      [31 0x02 22]
      [41 0x02 22]
      [56 0x03 22]
      [0 0x04 0]
      [0 0x04 0]
      [0 0x04 0]
      [0 0x04 0]
      [0 0x04 0]
      [0 0x04 0]
      [0 0x04 0]
      [0 0x04 0]
      ]
     ]


text:
# MCL (Markov CLustering algorithm)

"""
    immutable MCLResult <: ClusteringResult

Result returned by `mcl()`.
"""
immutable MCLResult <: ClusteringResult
    mcl_adj::AbstractMatrix     # final MCL adjacency matrix (equilibrium state matrix if converged)
    assignments::Vector{Int}    # element-to-cluster assignments (n)
    counts::Vector{Int}         # number of samples assigned to each cluster (k)
    nunassigned::Int            # number of single elements not assigned to any cluster
    iterations::Int             # number of elapsed iterations
    rel_Δ::Float64              # final relative Δ
    converged::Bool             # whether the procedure converged
end

# Extract clusters from the final (equilibrium) MCL matrix
# Return the tuple: cluster indices for each element, cluster sizes,
# the number of unassigned (0 cluster index) elements (if `allow_singles` is on)
# `zero_tol` is a minimal value to consider as an element-to-cluster assignment
function _mcl_clusters(mcl_adj::AbstractMatrix, allow_singles::Bool, zero_tol::Float64 = 1E-20)
    # remove rows containing only zero elements and convert into a mask of nonzero elements
    el2clu_mask = mcl_adj[squeeze(sum(mcl_adj, 2), 2) .> zero_tol, :] .> zero_tol

    # assign cluster indexes to each node
    # cluster index is the index of the first TRUE in a given column
    clu_ixs = squeeze(mapslices(el_mask -> !isempty(el_mask) ? findmax(el_mask)[2] : 0,
                                el2clu_mask, 1), 1)
    clu_sizes = zeros(Int, size(el2clu_mask, 1))
    unassigned_count = 0
    @inbounds for clu_ix in clu_ixs
        (clu_ix > 0) && (clu_sizes[clu_ix] += 1)
    end
    if !allow_singles
        # collapse all size 1 clusters into one with index 0
        @inbounds for i in eachindex(clu_ixs)
            clu_ix = clu_ixs[i]
            if clu_ix > 0 && clu_sizes[clu_ix] == 1
                clu_ixs[i] = 0
                clu_sizes[clu_ix] = 0
                unassigned_count += 1
            end
        end
    else
        unassigned_count = 0
    end

    # recode clusters numbers to be in 1:N range (or 0:N if there's collapsed cluster)
    clu_id_map = zeros(Int, length(clu_sizes))
    next_clu_ix = 0
    @inbounds for i in eachindex(clu_ixs)
        old_clu_ix = clu_ixs[i]
        if old_clu_ix > 0
            new_clu_ix = clu_id_map[old_clu_ix]
            clu_ixs[i] = new_clu_ix == 0 ?
                         clu_id_map[old_clu_ix] = (next_clu_ix += 1) :
                         new_clu_ix
        end
    end
    old_clu_sizes = clu_sizes
    clu_sizes = zeros(Int, next_clu_ix)
    for (old_clu_ix, new_clu_ix) in enumerate(clu_id_map)
        if new_clu_ix > 0
            clu_sizes[new_clu_ix] = old_clu_sizes[old_clu_ix]
        end
    end

    clu_ixs, clu_sizes, unassigned_count
end

# adjacency matrix expansion (matrix-wise raising to a given power) kernel
function _mcl_expand(src::AbstractMatrix, expansion::Number)
    try
        return src^expansion
    catch ex # FIXME: remove this when functionality become available in the standard library
        if isa(ex, MethodError)
            throw(ArgumentError("MCL expansion of $(typeof(src)) with expansion=$expansion not supported"))
        else
            rethrow()
        end
    end
end

# integral power inflation (single matrix element)
_mcl_el_inflate(el::Number, inflation::Integer) = el^inflation

# non-integral power inflation (single matrix element)
_mcl_el_inflate(el::Number, inflation::Number) = real((el+0im)^inflation)

# adjacency matrix inflation (element-wise raising to a given power) kernel
function _mcl_inflate!(dest::AbstractMatrix, src::AbstractMatrix, inflation::Number)
    @inbounds for i in eachindex(src)
        dest[i] = _mcl_el_inflate(src[i], inflation)
    end
end

# adjacency matrix pruning
function _mcl_prune!(mtx::AbstractMatrix, prune_tol::Number)
    for i in 1:size(mtx,2)
        c = view(mtx, :, i)
        θ = mean(c)*prune_tol
        @inbounds @simd for j in eachindex(c)
            c[j] = ifelse(c[j] >= θ, c[j], 0.0)
        end
    end
    issparse(mtx) && dropzeros!(mtx)
    return mtx
end

"""
    mcl(adj::Matrix; [keyword arguments])::MCLResult

Identify clusters in the weighted graph using Markov Clustering Algorithm (MCL).

# Arguments
* `adj::Matrix{Float64}`: adjacency matrix that defines the weighted graph
  to cluster
* `add_loops::Bool`: whether edges of weight 1.0 from the node to itself
  should be appended to the graph (enabled by default)
* `expansion::Number`: MCL expansion constant (2)
* `inflation::Number`: MCL inflation constant (2.0)
* `save_final_matrix::Bool`: save final equilibrium state in the result,
  otherwise leave it empty; disabled by default, could be useful if
  MCL doesn't converge
* `max_iter::Integer`: max number of MCL iterations
* `tol::Number`: MCL adjacency matrix convergence threshold
* `prune_tol::Number`: pruning threshold
* `display::Symbol`: `:none` for no output or `:verbose` for diagnostic messages

See [original MCL implementation](http://micans.org/mcl).

Ref: Stijn van Dongen, "Graph clustering by flow simulation", 2001
"""
function mcl{T<:Real}(adj::AbstractMatrix{T};
                      add_loops::Bool = true,
                      expansion::Number = 2, inflation::Number = 2,
                      save_final_matrix::Bool = false,
                      allow_singles::Bool = true,
                      max_iter::Integer = 100, tol::Number=1.0e-5,
                      prune_tol::Number=1.0e-5, display::Symbol=:none)
    m, n = size(adj)
    m == n || throw(DimensionMismatch("Square adjacency matrix expected"))

    if add_loops
        @inbounds for i in 1:size(adj, 1)
            adj[i, i] = 1.0
        end
    end

    # initialize the MCL adjacency matrix by normalized `adj` weights
    mcl_adj = copy(adj)
    # normalize in columns
    scale!(mcl_adj, map(x -> x != 0.0 ?  1.0/x : x, squeeze(sum(mcl_adj, 1), 1)))
    mcl_norm = vecnorm(mcl_adj)
    if !isfinite(mcl_norm)
        throw(OverflowError("The norm of the input adjacency matrix is not finite"))
    end
    next_mcl_adj = similar(mcl_adj)

    # do MCL iterations
    if display != :none
        info("Starting MCL iterations...")
    end
    niter = 0
    converged = false
    rel_delta = NaN
    while !converged && niter < max_iter
        expanded = _mcl_expand(mcl_adj, expansion)
        _mcl_inflate!(next_mcl_adj, expanded, inflation)
        _mcl_prune!(next_mcl_adj, prune_tol)

        # normalize in columns
        scale!(next_mcl_adj, map(x -> x != 0.0 ? 1.0/x : x,
                                 squeeze(sum(next_mcl_adj, 1), 1)))

        next_mcl_norm = vecnorm(next_mcl_adj)
        if !isfinite(next_mcl_norm)
            warn("MCL adjacency matrix norm is not finite")
            break
        end
        rel_delta = euclidean(next_mcl_adj, mcl_adj)/mcl_norm
        (display == :verbose) && info("MCL iter. #$niter: rel.Δ=", rel_delta)
        (converged = rel_delta <= tol) && break
        # update (swap) MCL adjacency
        niter += 1
        mcl_adj, next_mcl_adj = next_mcl_adj, mcl_adj
        mcl_norm = next_mcl_norm
        (mcl_norm < tol) && break # matrix is zero
    end

    if display != :none
        if converged
            info("MCL converged after $niter iteration(s)")
        else
            warn("MCL didn't converge after $niter iteration(s)")
        end
    end

    (display == :verbose) && info("Generating MCL clusters...")
    el2clu, clu_sizes, nunassigned = _mcl_clusters(mcl_adj, allow_singles,
                                                   tol/length(mcl_adj))

    return MCLResult(save_final_matrix ? mcl_adj : similar(mcl_adj, (0,0)),
              el2clu, clu_sizes, nunassigned, niter, rel_delta, converged)
end

ext: jl


text:
module BayesianAB

using Distributions, StatsBase, Statistics
using Gadfly
using JuliaDB

export
    # general statistics functions

    # distributions

    # methods
    bayestest   # compare two variants
    plottest    # plot variant comparison

# generic functions
include("utils.jl")

# core functions
include("evaluation.jl")
include("plotting.jl")

"""
A Julia package containing functions associated with evaluation of A/B tests.

Core functions:
- `bayestest(x, y, p, d)` compares two variants, `x` and `y`, given probability `p` and assumed distribution of `d`
- `testplot(x)` plots evaluation output of `bayestest` (`x`)

"""

BayesianAB

end # module


text:
using Test
using CausalDiscovery

@test showstring(au"""(program
(= GRID_SIZE 16)

(type alias Position ((: x Int) (: y Int)))
(type alias Particle ((: position Position)))

(external (: click Click))

(: particles (List Particle))
(= particles (initnext (list) (if (occurred click)
                             then (push! (prev particles) (particleGen (Position 1 1)))
                             else (map nextParticle particles))))

(= nparticles (length particles))

(: isFree (-> Position Bool))
(= isFree (fn (position)
              (length (filter (--> particle (!= (.. particle position) position)) particles))))

(: isWithinBounds (-> Position Bool))
(= isWithinBounds (fn (position)
                      (& (>= (.. position x) 0) (& (< (.. position x) GRID_SIZE) (& (>= (.. position y) 0) (< (.. position y) GRID_SIZE))))))

(: adjacentPositions (-> Position (List Position)))
(= adjacentPositions (fn (position)
                         (let ((= x (.. position x))
                               (= y (.. position y))
                               (= positions (filter isWithinBounds (list (Position (+ x 1) y) (Position (- x 1) y) (Position x (+ y 1)) (Position x (- y 1))))))
                              positions)))

(: nextParticle (-> Particle Particle))
(= nextParticle (fn (particle)
                    (let ((= freePositions (filter isFree (adjacentPositions (.. particle position)))))
                         (case freePositions
                              (=> (list) particle)
                              (=> _ (Particle (uniformChoice freePositions)))))))

(: particleGen (-> Position Particle))
(= particleGen (fn (initPosition) (Particle initPosition)))
)""") == "GRID_SIZE = 16\ntype alias Position = { x : Int, y : Int }\ntype alias Particle = { position : Position }\nexternal click : Click\nparticles : List Particle\nparticles = init () next if ((occurred click)) then ((push! (prev particles) (particleGen (Position 1 1)))) else ((map nextParticle particles))\nnparticles = (length particles)\nisFree : (Position -> Bool)\nisFree = fn (position) ((length (filter (particle -> ((!= particle.position position))) particles)))\nisWithinBounds : (Position -> Bool)\nisWithinBounds = fn (position) ((& position.x >= 0 (& position.x < GRID_SIZE (& position.y >= 0 position.y < GRID_SIZE))))\nadjacentPositions : (Position -> List Position)\nadjacentPositions = fn (position) (let \n\tx = position.x\n\ty = position.y\n\tpositions = (filter isWithinBounds ((Position x + 1 y), (Position x - 1 y), (Position x y + 1), (Position x y - 1)))\nin\n\tpositions)\nnextParticle : (Particle -> Particle)\nnextParticle = fn (particle) (let \n\tfreePositions = (filter isFree (adjacentPositions particle.position))\nin\n\t\n\tcase freePositions of \n\t\t() => particle\n\t\t_ => (Particle (uniformChoice freePositions)))\nparticleGen : (Position -> Particle)\nparticleGen = fn (initPosition) ((Particle initPosition))"