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  1. #include <array>
  2. #include <string>
  3. #include <numeric>
  4. #include <fstream>
  5. #include <iostream>
  6. #include <algorithm>
  7. #include <functional>
  8. #include <cstdlib>
  9. #include <cmath>
  10.  
  11. constexpr int symbol_count = '~' - ' ' + 1;
  12.  
  13. typedef float table_f[ symbol_count ][ symbol_count ];
  14. typedef int table_i[ symbol_count ][ symbol_count ];
  15.  
  16. table_i prediction; // How many times is group A followed by symbol B?
  17. int total[ symbol_count ];
  18.  
  19. table_f combo_cost; // How many nats are lost by grouping two symbols?
  20.  
  21. std::string group[ symbol_count ];
  22.  
  23. void print_column_headings( std::ostream & stats ) {
  24. stats << '\t';
  25. for ( int c = 0; c != symbol_count; ++ c ) {
  26. stats << char( ' ' + c ) << '\t';
  27. };
  28. stats << '\n';
  29. }
  30.  
  31. float logz( int x ) { return x? log( x ) : 0; }
  32.  
  33. constexpr float bytes_per_nat = 1. / ( log(2) * 8 );
  34.  
  35. float symbol_combo_cost( int a, int b )
  36. { return (a+b) * logz(a+b) - a * logz(a) - b * logz(b); }
  37.  
  38. void update_table_combo_cost( int a, int b ) {
  39. combo_cost[ a ][ b ] = symbol_combo_cost( total[ a ], total[ b ] ) - std::inner_product(
  40. std::begin( prediction[ a ] ), std::end( prediction[ a ] ),
  41. std::begin( prediction[ b ] ), 0.,
  42. std::plus< float >(),
  43. symbol_combo_cost
  44. );
  45. }
  46.  
  47. void collect_samples( std::istream & corpus ) {
  48. std::string item;
  49. while ( getline( corpus, item ) ) {
  50. if ( item.empty() ) continue;
  51.  
  52. for ( int cx = 1; cx < item.size(); ++ cx ) {
  53. if ( item[ cx - 1 ] < ' ' || item[ cx - 1 ] > '~' ) {
  54. ++ cx;
  55. std::cerr << "bad line: " << item << '\n';
  56. continue;
  57. }
  58.  
  59. ++ prediction[ item[ cx - 1 ] - ' ' ][ item[ cx ] - ' ' ];
  60. }
  61. }
  62. if ( ! corpus.eof() ) std::cerr << "Input failure\n";
  63. }
  64.  
  65. float coded_size() {
  66. float acc = 0;
  67. for ( int t = 0; t != symbol_count; ++ t ) {
  68. for ( int p = 0; p != symbol_count; ++ p ) {
  69. acc -= prediction[ t ][ p ] * logz( prediction[ t ][ p ] );
  70. }
  71. acc += total[ t ] * logz( total[ t ] );
  72. }
  73. return acc;
  74. }
  75.  
  76. int main( int argc, char ** argv ) {
  77. if ( argc > 2 ) {
  78. std::cerr << "Usage: " << argv[0] << " <filename>\n";
  79. return EXIT_FAILURE;
  80. }
  81.  
  82. bool use_pipes = argc != 2;
  83.  
  84. std::ifstream corpus_file;
  85. if ( ! use_pipes ) corpus_file.open( argv[1] );
  86.  
  87. std::istream & corpus = use_pipes? std::cin : corpus_file;
  88.  
  89. if ( ! corpus ) {
  90. std::cerr << "Could not open " << argv[1] << "\n";
  91. std::perror( nullptr );
  92. return EXIT_FAILURE;
  93. }
  94.  
  95. collect_samples( corpus );
  96.  
  97. for ( int sx = 0; sx != symbol_count; ++ sx ) {
  98. total[ sx ] = std::accumulate( std::begin( prediction[ sx ] ), std::end( prediction[ sx ] ), 0 );
  99. }
  100.  
  101. for ( int lo = 0; lo != symbol_count; ++ lo ) {
  102. for ( int hi = 0; hi != lo + 1; ++ hi ) {
  103. combo_cost[ lo ][ hi ] = std::numeric_limits< float >::infinity();
  104. }
  105. for ( int hi = lo + 1; hi != symbol_count; ++ hi ) {
  106. update_table_combo_cost( lo, hi );
  107. }
  108. }
  109.  
  110. std::ofstream stats_file;
  111. if ( ! use_pipes ) stats_file.open( "stats.txt" );
  112. std::ostream & stats = use_pipes? std::cout : stats_file;
  113. {
  114. print_column_headings( stats );
  115.  
  116. for ( int row = 0; row != symbol_count; ++ row ) {
  117. stats << char( ' ' + row ) << ':' << '\t';
  118.  
  119. for ( int col = 0; col != symbol_count; ++ col ) {
  120. stats << prediction[ row ][ col ] << '\t';
  121. }
  122. stats << '\n';
  123. }
  124. stats << '\n';
  125.  
  126. stats.precision( 0 );
  127. stats.setf( std::ios::fixed );
  128.  
  129. print_column_headings( stats );
  130. for ( int lo = 0; lo != symbol_count; ++ lo ) {
  131. stats << char( ' ' + lo ) << ':' << std::string( lo + 2, '\t' );
  132.  
  133. for ( int hi = lo + 1; hi != symbol_count; ++ hi ) {
  134. stats << combo_cost[ lo ][ hi ] << '\t';
  135. }
  136. stats << '\n';
  137. }
  138. }
  139.  
  140. float size_check = coded_size();
  141. stats << "ideal size = " << size_check * bytes_per_nat << '\n';
  142.  
  143. for ( int n = 0; n != symbol_count; ++ n ) group[ n ] += char( ' ' + n );
  144.  
  145. for ( float * max_corr; * ( max_corr = std::min_element( & combo_cost[0][0], & combo_cost[symbol_count-1][symbol_count] ) ) != std::numeric_limits< float >::infinity(); ) {
  146. int maxx = max_corr - & combo_cost[0][0],
  147. lo = maxx / symbol_count,
  148. hi = maxx % symbol_count;
  149.  
  150. size_check += * max_corr;
  151.  
  152. stats << * max_corr * bytes_per_nat << " x " << group[ lo ] << " += " << group[ hi ];
  153. group[ lo ] += group[ hi ];
  154. std::sort( group[ lo ].begin(), group[ lo ].end() );
  155. group[ hi ].clear();
  156.  
  157. for ( int nx = 0; nx != symbol_count; ++ nx ) {
  158. prediction[ lo ][ nx ] += prediction[ hi ][ nx ];
  159. prediction[ hi ][ nx ] = 0;
  160. }
  161. total[ lo ] += total[ hi ];
  162. total[ hi ] = 0;
  163.  
  164. std::fill( std::begin( combo_cost[ hi ] ) + hi + 1, std::end( combo_cost[ hi ] ), std::numeric_limits< float >::infinity() );
  165. for ( int lo = 0; lo != hi; ++ lo ) combo_cost[ lo ][ hi ] = std::numeric_limits< float >::infinity();
  166.  
  167. for ( int o = 0; o != lo; ++ o ) {
  168. if ( group[ o ].empty() ) continue;
  169. update_table_combo_cost( o, lo );
  170. }
  171. for ( int hi = lo + 1; hi != symbol_count; ++ hi ) {
  172. if ( group[ hi ].empty() ) continue;
  173. update_table_combo_cost( lo, hi );
  174. }
  175. stats << '\n';
  176. }
  177.  
  178. stats << "single-table size = " << size_check * bytes_per_nat << " = " << coded_size() * bytes_per_nat << " vs " << total[0] << '\n';
  179. }
  180.  
Success #stdin #stdout 0.02s 3512KB
stdin
hello
world
how
ya
doin?
that's
all
folks
stdout
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B:	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	
C:	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	
D:	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	
E:	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	
F:	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	
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H:	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	
I:	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	
J:	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	0	
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x:																																																																																										0	0	0	0	0	0	
y:																																																																																											0	0	0	0	0	
z:																																																																																												0	0	0	0	
{:																																																																																													0	0	0	
|:																																																																																														0	0	
}:																																																																																															0	
~:																																																																																																
ideal size = 3
0 x   += !
0 x  ! += "
0 x  !" += #
0 x  !"# += $
0 x  !"#$ += %
0 x  !"#$% += &
0 x  !"#$%& += '
0 x  !"#$%&' += (
0 x  !"#$%&'( += )
0 x  !"#$%&'() += *
0 x  !"#$%&'()* += +
0 x  !"#$%&'()*+ += ,
0 x  !"#$%&'()*+, += -
0 x  !"#$%&'()*+,- += .
0 x  !"#$%&'()*+,-. += /
0 x  !"#$%&'()*+,-./ += 0
0 x  !"#$%&'()*+,-./0 += 1
0 x  !"#$%&'()*+,-./01 += 2
0 x  !"#$%&'()*+,-./012 += 3
0 x  !"#$%&'()*+,-./0123 += 4
0 x  !"#$%&'()*+,-./01234 += 5
0 x  !"#$%&'()*+,-./012345 += 6
0 x  !"#$%&'()*+,-./0123456 += 7
0 x  !"#$%&'()*+,-./01234567 += 8
0 x  !"#$%&'()*+,-./012345678 += 9
0 x  !"#$%&'()*+,-./0123456789 += :
0 x  !"#$%&'()*+,-./0123456789: += ;
0 x  !"#$%&'()*+,-./0123456789:; += <
0 x  !"#$%&'()*+,-./0123456789:;< += =
0 x  !"#$%&'()*+,-./0123456789:;<= += >
0 x  !"#$%&'()*+,-./0123456789:;<=> += ?
0 x  !"#$%&'()*+,-./0123456789:;<=>? += @
0 x  !"#$%&'()*+,-./0123456789:;<=>?@ += A
0 x  !"#$%&'()*+,-./0123456789:;<=>?@A += B
0 x  !"#$%&'()*+,-./0123456789:;<=>?@AB += C
0 x  !"#$%&'()*+,-./0123456789:;<=>?@ABC += D
0 x  !"#$%&'()*+,-./0123456789:;<=>?@ABCD += E
0 x  !"#$%&'()*+,-./0123456789:;<=>?@ABCDE += F
0 x  !"#$%&'()*+,-./0123456789:;<=>?@ABCDEF += G
0 x  !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFG += H
0 x  !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGH += I
0 x  !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHI += J
0 x  !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJ += K
0 x  !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJK += L
0 x  !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKL += M
0 x  !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLM += N
0 x  !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMN += O
0 x  !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNO += P
0 x  !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOP += Q
0 x  !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQ += R
0 x  !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQR += S
0 x  !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRS += T
0 x  !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRST += U
0 x  !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTU += V
0 x  !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUV += W
0 x  !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVW += X
0 x  !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWX += Y
0 x  !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXY += Z
0 x  !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ += [
0 x  !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[ += \
0 x  !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\ += ]
0 x  !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\] += ^
0 x  !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^ += _
0 x  !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_ += `
0 x  !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_` += b
0 x  !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`b += c
0 x  !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`bc += g
0 x  !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`bcg += j
0 x  !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`bcgj += k
0 x  !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`bcgjk += m
0 x  !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`bcgjkm += p
0 x  !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`bcgjkmp += q
0 x  !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`bcgjkmpq += s
0 x  !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`bcgjkmpqs += u
0 x  !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`bcgjkmpqsu += v
0 x  !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`bcgjkmpqsuv += x
0 x  !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`bcgjkmpqsuvx += z
0 x  !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`bcgjkmpqsuvxz += {
0 x  !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`bcgjkmpqsuvxz{ += |
0 x  !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`bcgjkmpqsuvxz{| += }
0 x  !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`bcgjkmpqsuvxz{|} += ~
0 x d += f
0 x df += w
0 x e += r
0 x a += er
0 x h += y
0 x i += n
0 x dfw += hy
0 x  !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`bcgjkmpqsuvxz{|}~ += in
1 x aer += l
1 x  !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`bcgijkmnpqsuvxz{|}~ += t
1 x aelr += o
2 x  !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`bcgijkmnpqstuvxz{|}~ += dfhwy
3 x  !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`bcdfghijkmnpqstuvwxyz{|}~ += aelor
single-table size = 11 = 11 vs 26