%%
%% This is file `l3int.sty',
%% generated with the docstrip utility.
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%% The original source files were:
%%
%% l3int.dtx  (with options: `package')
%% 
%% EXPERIMENTAL CODE
%% 
%% Do not distribute this file without also distributing the
%% source files specified above.
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%% Do not distribute a modified version of this file.
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%% File: l3int.dtx Copyright (C) 1990-2011 The LaTeX3 Project
%%
%% It may be distributed and/or modified under the conditions of the
%% LaTeX Project Public License (LPPL), either version 1.3c of this
%% license or (at your option) any later version.  The latest version
%% of this license is in the file
%%
%%    http://www.latex-project.org/lppl.txt
%%
%% This file is part of the "expl3 bundle" (The Work in LPPL)
%% and all files in that bundle must be distributed together.
%%
%% The released version of this bundle is available from CTAN.
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%% -----------------------------------------------------------------------
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%% The development version of the bundle can be found at
%%
%%    http://www.latex-project.org/svnroot/experimental/trunk/
%%
%% for those people who are interested.
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\RequirePackage{l3names}
\GetIdInfo$Id: l3int.dtx 2666 2011-08-26 06:10:09Z joseph $
  {L3 Experimental integers}
\ProvidesExplPackage
  {\ExplFileName}{\ExplFileDate}{\ExplFileVersion}{\ExplFileDescription}
\package_check_loaded_expl:
\cs_new_eq:NN \int_value:w   \tex_number:D
\cs_new_eq:NN \int_eval:w    \etex_numexpr:D
\cs_new_eq:NN \int_eval_end: \tex_relax:D
\cs_new_eq:NN \if_num:w      \tex_ifnum:D
\cs_new_eq:NN \if_int_odd:w  \tex_ifodd:D
\cs_new_eq:NN \if_case:w     \tex_ifcase:D
\cs_new:Npn \int_eval:n #1 { \int_value:w \int_eval:w #1 \int_eval_end: }
\cs_new:Npn \int_abs:n #1
  {
    \int_value:w
      \if_int_compare:w \int_eval:w #1 < \c_zero
        -
      \fi:
    \int_eval:w #1 \int_eval_end:
  }
\cs_new:Npn \int_max:nn #1#2
  {
    \int_value:w \int_eval:w
      \if_int_compare:w
        \int_eval:w #1 > \int_eval:w #2 \int_eval_end:
        #1
      \else:
        #2
      \fi:
    \int_eval_end:
  }
\cs_new:Npn \int_min:nn #1#2
  {
    \int_value:w \int_eval:w
      \if_int_compare:w
        \int_eval:w #1 < \int_eval:w #2 \int_eval_end:
        #1
      \else:
        #2
      \fi:
    \int_eval_end:
  }
\cs_new:Npn \int_div_truncate:nn #1#2
  {
    \int_value:w \int_eval:w
      \if_int_compare:w \int_eval:w #1 = \c_zero
        0
      \else:
        ( #1 % )
        \if_int_compare:w \int_eval:w #1 < \c_zero
          \if_int_compare:w \int_eval:w #2 < \c_zero
            - ( #2 + % )
          \else:
            + ( #2 - % )
          \fi:
        \else:
          \if_int_compare:w \int_eval:w #2 < \c_zero
            + ( #2 + % )
          \else:
            - ( #2 - % )
          \fi:
        \fi: % ( (
        1 ) / 2 )
      \fi:
      / ( #2 )
    \int_eval_end:
  }
\cs_new:Npn \int_div_round:nn #1#2 { \int_eval:n { ( #1 ) / ( #2 ) } }
\cs_new:Npn \int_mod:nn #1#2
  {
    \int_value:w \int_eval:w
      #1 - \int_div_truncate:nn {#1} {#2} * ( #2 )
    \int_eval_end:
  }
\cs_new_protected_nopar:Npn \int_new:N #1
  {
    \chk_if_free_cs:N #1
    \newcount #1
  }
\cs_generate_variant:Nn \int_new:N { c }
\cs_new_protected_nopar:Npn \int_const:Nn #1#2
  {
    \int_compare:nNnTF {#2} > \c_minus_one
      {
        \int_compare:nNnTF {#2} > \c_max_register_int
          {
            \int_new:N #1
            \int_gset:Nn #1 {#2}
          }
          {
            \chk_if_free_cs:N #1
            \pref_global:D \tex_mathchardef:D #1 =
              \int_eval:w #2 \int_eval_end:
          }
      }
      {
        \int_new:N #1
        \int_gset:Nn #1 {#2}
      }
  }
\cs_generate_variant:Nn \int_const:Nn { c }
\cs_new_protected_nopar:Npn \int_zero:N  #1 { #1 = \c_zero }
\cs_new_protected_nopar:Npn \int_gzero:N #1 { \pref_global:D #1 = \c_zero }
\cs_generate_variant:Nn \int_zero:N  { c }
\cs_generate_variant:Nn \int_gzero:N { c }
\cs_new_protected_nopar:Npn \int_set_eq:NN #1#2 { #1 = #2 }
\cs_generate_variant:Nn \int_set_eq:NN {       c }
\cs_generate_variant:Nn \int_set_eq:NN { Nc , cc }
\cs_new_protected_nopar:Npn \int_gset_eq:NN #1#2 { \pref_global:D #1 = #2 }
\cs_generate_variant:Nn \int_gset_eq:NN {       c }
\cs_generate_variant:Nn \int_gset_eq:NN { Nc , cc }
\cs_new_protected_nopar:Npn \int_add:Nn #1#2
  { \tex_advance:D #1 by \int_eval:w #2 \int_eval_end: }
\cs_new_nopar:Npn \int_sub:Nn #1#2
  { \tex_advance:D #1 by - \int_eval:w #2 \int_eval_end: }
\cs_new_protected_nopar:Npn \int_gadd:Nn
  { \pref_global:D \int_add:Nn }
\cs_new_protected_nopar:Npn \int_gsub:Nn
  { \pref_global:D \int_sub:Nn }
\cs_generate_variant:Nn \int_add:Nn  { c }
\cs_generate_variant:Nn \int_gadd:Nn { c }
\cs_generate_variant:Nn \int_sub:Nn  { c }
\cs_generate_variant:Nn \int_gsub:Nn { c }
\cs_new_protected_nopar:Npn \int_incr:N #1
  { \tex_advance:D #1 \c_one }
\cs_new_protected_nopar:Npn \int_decr:N #1
  { \tex_advance:D #1 \c_minus_one }
\cs_new_protected_nopar:Npn \int_gincr:N
  { \pref_global:D \int_incr:N }
\cs_new_protected_nopar:Npn \int_gdecr:N
  { \pref_global:D \int_decr:N }
\cs_generate_variant:Nn \int_incr:N  { c }
\cs_generate_variant:Nn \int_decr:N  { c }
\cs_generate_variant:Nn \int_gincr:N { c }
\cs_generate_variant:Nn \int_gdecr:N { c }
\cs_new_protected_nopar:Npn \int_set:Nn #1#2
  { #1 ~ \int_eval:w #2\int_eval_end: }
\cs_new_protected_nopar:Npn \int_gset:Nn { \pref_global:D \int_set:Nn }
\cs_generate_variant:Nn \int_set:Nn  { c }
\cs_generate_variant:Nn \int_gset:Nn { c }
\cs_new_eq:NN \int_use:N \tex_the:D
\cs_new_nopar:Npn \int_use:c #1 { \int_use:N \cs:w #1 \cs_end: }
\prg_new_conditional:Npnn \int_compare:n #1 { p , T , F , TF }
  { \exp_after:wN \int_compare_aux:nw \int_value:w \int_eval:w #1 \q_stop }
\cs_new:Npn \int_compare_aux:nw #1#2 \q_stop
  {
    \exp_after:wN \int_compare_aux:Nw
      \int_to_roman:w
        \if:w #1 -
        \else:
          -
        \fi:
          #1#2 \q_mark #1#2 \q_stop
  }
\cs_new:Npn \int_compare_aux:Nw #1#2#3 \q_mark
  { \use:c { int_compare_  #1  \if_meaning:w = #2 =  \fi: :w } }
\cs_new:cpn { int_compare_=:w } #1 = #2 \q_stop
  {
    \if_int_compare:w #1 = \int_eval:w #2 \int_eval_end:
      \prg_return_true:
    \else:
      \prg_return_false:
    \fi:
  }
\cs_new:cpn { int_compare_==:w } #1 == #2 \q_stop
  {
    \if_int_compare:w #1 = \int_eval:w #2 \int_eval_end:
      \prg_return_true:
    \else:
      \prg_return_false:
    \fi:
  }
\cs_new:cpn { int_compare_!=:w } #1 != #2 \q_stop
  {
    \if_int_compare:w #1 = \int_eval:w #2 \int_eval_end:
      \prg_return_false:
    \else:
      \prg_return_true:
    \fi:
  }
\cs_new:cpn { int_compare_<:w } #1 < #2 \q_stop
  {
    \if_int_compare:w #1 < \int_eval:w #2 \int_eval_end:
      \prg_return_true:
    \else:
      \prg_return_false:
    \fi:
  }
\cs_new:cpn { int_compare_>:w } #1 > #2 \q_stop
  {
    \if_int_compare:w #1 > \int_eval:w #2 \int_eval_end:
      \prg_return_true:
    \else:
      \prg_return_false:
    \fi:
  }
\cs_new:cpn { int_compare_<=:w } #1 <= #2 \q_stop
  {
    \if_int_compare:w #1 > \int_eval:w #2 \int_eval_end:
      \prg_return_false:
    \else:
      \prg_return_true:
    \fi:
  }
\cs_new:cpn { int_compare_>=:w } #1 >= #2 \q_stop
  {
    \if_int_compare:w #1 < \int_eval:w #2 \int_eval_end:
      \prg_return_false:
    \else:
      \prg_return_true:
    \fi:
  }
\prg_new_conditional:Npnn \int_compare:nNn #1#2#3 { p , T , F , TF}
  {
    \if_int_compare:w \int_eval:w #1 #2 \int_eval:w #3 \int_eval_end:
      \prg_return_true:
    \else:
      \prg_return_false:
    \fi:
  }
\prg_new_conditional:Npnn \int_if_odd:n #1 { p , T , F , TF}
  {
    \if_int_odd:w \int_eval:w #1 \int_eval_end:
      \prg_return_true:
    \else:
      \prg_return_false:
    \fi:
  }
\prg_new_conditional:Npnn \int_if_even:n #1 { p , T , F , TF}
  {
    \if_int_odd:w \int_eval:w #1 \int_eval_end:
      \prg_return_false:
    \else:
      \prg_return_true:
    \fi:
  }
\cs_new:Npn \int_while_do:nn #1#2
  {
    \int_compare:nT {#1}
      {
        #2
        \int_while_do:nn {#1} {#2}
      }
  }
\cs_new:Npn \int_until_do:nn #1#2
  {
    \int_compare:nF {#1}
      {
        #2
        \int_until_do:nn {#1} {#2}
      }
  }
\cs_new:Npn \int_do_while:nn #1#2
  {
    #2
    \int_compare:nT {#1}
      { \int_do_while:nNnn {#1} {#2} }
  }
\cs_new:Npn \int_do_until:nn #1#2
  {
    #2
    \int_compare:nF {#1}
      { \int_do_until:nn {#1} {#2} }
  }
\cs_new:Npn \int_while_do:nNnn #1#2#3#4
  {
    \int_compare:nNnT {#1} #2 {#3}
      {
        #4
        \int_while_do:nNnn {#1} #2 {#3} {#4}
      }
  }
\cs_new:Npn \int_until_do:nNnn #1#2#3#4
  {
  \int_compare:nNnF {#1} #2 {#3}
    {
      #4
      \int_until_do:nNnn {#1} #2 {#3} {#4}
    }
  }
\cs_new:Npn \int_do_while:nNnn #1#2#3#4
  {
    #4
    \int_compare:nNnT {#1} #2 {#3}
      { \int_do_while:nNnn {#1} #2 {#3} {#4} }
  }
\cs_new:Npn \int_do_until:nNnn #1#2#3#4
  {
    #4
    \int_compare:nNnF {#1} #2 {#3}
      { \int_do_until:nNnn {#1} #2 {#3} {#4} }
  }
\cs_new_nopar:Npn \int_to_arabic:n #1 { \int_eval:n {#1} }
\cs_new_nopar:Npn \int_to_symbols:nnn #1#2#3
  {
    \int_compare:nNnTF {#1} > {#2}
      {
        \exp_args:Nf \int_to_symbols:nnn
          { \int_div_truncate:nn { #1 - 1 } {#2} } {#2} {#3}
        \exp_args:Nf \prg_case_int:nnn
          { \int_eval:n { 1 + \int_mod:nn { #1 - 1 } {#2} } }
          {#3} { }
      }
      { \exp_args:Nf \prg_case_int:nnn { \int_eval:n {#1} } {#3} { } }
  }
\cs_new:Npn \int_to_alph:n #1
  {
    \int_to_symbols:nnn {#1} { 26 }
      {
        {  1 } { a }
        {  2 } { b }
        {  3 } { c }
        {  4 } { d }
        {  5 } { e }
        {  6 } { f }
        {  7 } { g }
        {  8 } { h }
        {  9 } { i }
        { 10 } { j }
        { 11 } { k }
        { 12 } { l }
        { 13 } { m }
        { 14 } { n }
        { 15 } { o }
        { 16 } { p }
        { 17 } { q }
        { 18 } { r }
        { 19 } { s }
        { 20 } { t }
        { 21 } { u }
        { 22 } { v }
        { 23 } { w }
        { 24 } { x }
        { 25 } { y }
        { 26 } { z }
      }
  }
\cs_new:Npn \int_to_Alph:n #1
  {
    \int_to_symbols:nnn {#1} { 26 }
      {
        {  1 } { A }
        {  2 } { B }
        {  3 } { C }
        {  4 } { D }
        {  5 } { E }
        {  6 } { F }
        {  7 } { G }
        {  8 } { H }
        {  9 } { I }
        { 10 } { J }
        { 11 } { K }
        { 12 } { L }
        { 13 } { M }
        { 14 } { N }
        { 15 } { O }
        { 16 } { P }
        { 17 } { Q }
        { 18 } { R }
        { 19 } { S }
        { 20 } { T }
        { 21 } { U }
        { 22 } { V }
        { 23 } { W }
        { 24 } { X }
        { 25 } { Y }
        { 26 } { Z }
      }
  }
\cs_new:Npn \int_to_base:nn #1
  { \exp_args:Nf \int_to_base_aux_i:nn { \int_eval:n {#1} } }
\cs_new:Npn \int_to_base_aux_i:nn #1#2
  {
    \int_compare:nNnTF {#1} < \c_zero
      { \exp_args:No \int_to_base_aux_ii:nnN { \use_none:n #1 } {#2} - }
      { \int_to_base_aux_ii:nnN {#1} {#2} \c_empty_tl }
  }
\cs_new:Npn \int_to_base_aux_ii:nnN #1#2#3
  {
    \int_compare:nNnTF {#1} < {#2}
      { \exp_last_unbraced:Nf #3 { \int_to_letter:n {#1} } }
      {
        \exp_args:Nf \int_to_base_aux_iii:nnnN
          { \int_to_letter:n { \int_mod:nn {#1} {#2} } }
          {#1}
          {#2}
          #3
      }
  }
\cs_new:Npn \int_to_base_aux_iii:nnnN #1#2#3#4
  {
    \exp_args:Nf \int_to_base_aux_ii:nnN
      { \int_div_truncate:nn {#2} {#3} }
      {#3}
      #4
    #1
  }
\cs_new:Npn \int_to_letter:n #1
  {
    \exp_after:wN \exp_after:wN
    \if_case:w \int_eval:w #1 - \c_ten \int_eval_end:
         A
    \or: B
    \or: C
    \or: D
    \or: E
    \or: F
    \or: G
    \or: H
    \or: I
    \or: J
    \or: K
    \or: L
    \or: M
    \or: N
    \or: O
    \or: P
    \or: Q
    \or: R
    \or: S
    \or: T
    \or: U
    \or: V
    \or: W
    \or: X
    \or: Y
    \or: Z
    \else: #1
    \fi:
  }
\cs_new:Npn \int_to_binary:n #1
  { \int_to_base:nn {#1} { 2 } }
\cs_new:Npn \int_to_hexadecimal:n #1
  { \int_to_base:nn {#1} { 16 } }
\cs_new:Npn \int_to_octal:n #1
  { \int_to_base:nn {#1} { 8 } }
\cs_new_nopar:Npn \int_to_roman:n #1
  {
    \exp_after:wN \int_to_roman_aux:N
      \int_to_roman:w \int_eval:n {#1} Q
  }
\cs_new_nopar:Npn \int_to_roman_aux:N #1
  {
    \use:c { int_to_roman_ #1 :w }
    \int_to_roman_aux:N
  }
\cs_new_nopar:Npn \int_to_Roman:n #1
  {
    \exp_after:wN \int_to_Roman_aux:N
      \int_to_roman:w \int_eval:n {#1} Q
  }
\cs_new_nopar:Npn \int_to_Roman_aux:N #1
  {
    \use:c { int_to_Roman_ #1 :w }
    \int_to_Roman_aux:N
  }
\cs_new_nopar:Npn \int_to_roman_i:w { i }
\cs_new_nopar:Npn \int_to_roman_v:w { v }
\cs_new_nopar:Npn \int_to_roman_x:w { x }
\cs_new_nopar:Npn \int_to_roman_l:w { l }
\cs_new_nopar:Npn \int_to_roman_c:w { c }
\cs_new_nopar:Npn \int_to_roman_d:w { d }
\cs_new_nopar:Npn \int_to_roman_m:w { m }
\cs_new_nopar:Npn \int_to_roman_Q:w #1 { }
\cs_new_nopar:Npn \int_to_Roman_i:w { I }
\cs_new_nopar:Npn \int_to_Roman_v:w { V }
\cs_new_nopar:Npn \int_to_Roman_x:w { X }
\cs_new_nopar:Npn \int_to_Roman_l:w { L }
\cs_new_nopar:Npn \int_to_Roman_c:w { C }
\cs_new_nopar:Npn \int_to_Roman_d:w { D }
\cs_new_nopar:Npn \int_to_Roman_m:w { M }
\cs_new_nopar:Npn \int_to_Roman_Q:w #1 { }
\cs_new:Npn \int_get_sign:n #1
  {
    \int_get_sign_and_digits_aux:nNNN {#1}
      \c_true_bool \c_true_bool \c_false_bool
  }
\cs_new:Npn \int_get_digits:n #1
  {
    \int_get_sign_and_digits_aux:nNNN {#1}
      \c_true_bool \c_false_bool \c_true_bool
  }
\cs_new:Npn \int_get_sign_and_digits_aux:nNNN #1#2#3#4
  {
    \exp_args:Nf \tl_if_head_eq_charcode:nNTF {#1} -
      {
        \bool_if:NTF #2
          {
            \int_get_sign_and_digits_aux:oNNN
              { \use_none:n #1 } \c_false_bool #3#4
          }
          {
            \int_get_sign_and_digits_aux:oNNN
              { \use_none:n #1 } \c_true_bool #3#4
          }
      }
      {
        \exp_args:Nf \tl_if_head_eq_charcode:nNTF {#1} +
          { \int_get_sign_and_digits_aux:oNNN { \use_none:n #1 } #2#3#4 }
          {
            \bool_if:NT #3 { \bool_if:NF #2 - }
            \bool_if:NT #4 {#1}
          }
      }
  }
\cs_generate_variant:Nn \int_get_sign_and_digits_aux:nNNN { o }
\cs_new:Npn \int_from_alph:n #1
  {
    \int_eval:n
      {
        \int_get_sign:n {#1}
        \exp_args:Nf \int_from_alph_aux:n { \int_get_digits:n {#1} }
      }
  }
\cs_new:Npn \int_from_alph_aux:n #1
  { \int_from_alph_aux:nN { 0 } #1 \q_nil }
\cs_new:Npn \int_from_alph_aux:nN #1#2
  {
    \quark_if_nil:NTF #2
      {#1}
      {
        \exp_args:Nf \int_from_alph_aux:nN
          { \int_eval:n { #1 * 26 + \int_from_alph_aux:N #2 } }
      }
  }
\cs_new:Npn \int_from_alph_aux:N #1
  { \int_eval:n { `#1 - \int_compare:nNnTF { `#1 } < { 91 } { 64 } { 96 } } }
\cs_new:Npn \int_from_base:nn #1#2
  {
    \int_eval:n
      {
        \int_get_sign:n {#1}
        \exp_args:Nf \int_from_base_aux:nn
          { \int_get_digits:n {#1} } {#2}
      }
  }
\cs_new:Npn \int_from_base_aux:nn #1#2
  { \int_from_base_aux:nnN { 0 } { #2 } #1 \q_nil }
\cs_new:Npn \int_from_base_aux:nnN #1#2#3
  {
    \quark_if_nil:NTF #3
      {#1}
      {
        \exp_args:Nf \int_from_base_aux:nnN
          { \int_eval:n { #1 * #2 + \int_from_base_aux:N #3 } }
          {#2}
      }
  }
\cs_new:Npn \int_from_base_aux:N #1
  {
    \int_compare:nNnTF { `#1 } < { 58 }
      {#1}
      {
        \int_eval:n
          { `#1 - \int_compare:nNnTF { `#1 } < { 91 } { 55 } { 87 } }
      }
  }
\cs_new:Npn \int_from_binary:n #1
  { \int_from_base:nn {#1} \c_two }
\cs_new:Npn \int_from_hexadecimal:n #1
  { \int_from_base:nn {#1} \c_sixteen }
\cs_new:Npn \int_from_octal:n #1
  { \int_from_base:nn {#1} \c_eight }
\int_const:cn { c_int_from_roman_i_int } { 1 }
\int_const:cn { c_int_from_roman_v_int } { 5 }
\int_const:cn { c_int_from_roman_x_int } { 10 }
\int_const:cn { c_int_from_roman_l_int } { 50 }
\int_const:cn { c_int_from_roman_c_int } { 100 }
\int_const:cn { c_int_from_roman_d_int } { 500 }
\int_const:cn { c_int_from_roman_m_int } { 1000 }
\int_const:cn { c_int_from_roman_I_int } { 1 }
\int_const:cn { c_int_from_roman_V_int } { 5 }
\int_const:cn { c_int_from_roman_X_int } { 10 }
\int_const:cn { c_int_from_roman_L_int } { 50 }
\int_const:cn { c_int_from_roman_C_int } { 100 }
\int_const:cn { c_int_from_roman_D_int } { 500 }
\int_const:cn { c_int_from_roman_M_int } { 1000 }
\cs_new_nopar:Npn \int_from_roman:n #1
  {
    \tl_if_blank:nF {#1}
      {
        \exp_after:wN \int_from_roman_end:w
          \int_value:w \int_eval:w
            \int_from_roman_aux:NN #1 Q \q_stop
      }
  }
\cs_new_nopar:Npn \int_from_roman_aux:NN #1#2
  {
    \str_if_eq:nnTF {#1} { Q }
      {#1#2}
      {
        \str_if_eq:nnTF {#2} { Q }
          {
            \cs_if_exist:cF { c_int_from_roman_ #1 _int }
              { \int_from_roman_clean_up:w }
            +
            \use:c { c_int_from_roman_ #1 _int }
            #2
          }
          {
            \cs_if_exist:cF { c_int_from_roman_ #1 _int }
              { \int_from_roman_clean_up:w }
            \cs_if_exist:cF { c_int_from_roman_ #2 _int }
              { \int_from_roman_clean_up:w }
            \int_compare:nNnTF
              { \use:c { c_int_from_roman_ #1 _int } }
              <
              { \use:c { c_int_from_roman_ #2 _int  } }
              {
                + \use:c { c_int_from_roman_ #2 _int }
                - \use:c { c_int_from_roman_ #1 _int }
                \int_from_roman_aux:NN
              }
              {
                + \use:c { c_int_from_roman_ #1 _int }
                \int_from_roman_aux:NN #2
              }
          }
      }
  }
\cs_new_nopar:Npn \int_from_roman_end:w #1 Q #2 \q_stop
  { \tl_if_empty:nTF {#2} {#1} {#2} }
\cs_new_nopar:Npn \int_from_roman_clean_up:w #1 Q { + 0 Q -1 }
\cs_new_eq:NN \int_show:N \kernel_register_show:N
\cs_new_eq:NN \int_show:c \kernel_register_show:c
\int_const:Nn \c_one      {  1 }
\int_const:Nn \c_two      {  2 }
\int_const:Nn \c_three    {  3 }
\int_const:Nn \c_four     {  4 }
\int_const:Nn \c_five     {  5 }
\int_const:Nn \c_eight    {  8 }
\int_const:Nn \c_nine     {  9 }
\int_const:Nn \c_ten      { 10 }
\int_const:Nn \c_eleven   { 11 }
\int_const:Nn \c_thirteen { 13 }
\int_const:Nn \c_fourteen { 14 }
\int_const:Nn \c_fifteen  { 15 }
\int_const:Nn \c_thirty_two { 32 }
\int_const:Nn \c_two_hundred_fifty_five { 255 }
\int_const:Nn \c_two_hundred_fifty_six  { 256 }
\int_const:Nn \c_one_hundred  {   100 }
\int_const:Nn \c_one_thousand {  1000 }
\int_const:Nn \c_ten_thousand { 10000 }
\int_const:Nn \c_max_int { 2 147 483 647 }
\int_new:N \l_tmpa_int
\int_new:N \l_tmpb_int
\int_new:N \l_tmpc_int
\int_new:N \g_tmpa_int
\int_new:N \g_tmpb_int
\int_new:N \g_seq_nesting_depth_int
\int_new:N \g_tl_inline_level_int
\cs_new_eq:NN \int_convert_from_base_ten:nn \int_to_base:nn
\cs_new_eq:NN \int_convert_to_symbols:nnn   \int_to_symbols:nnn
\cs_new_eq:NN \int_convert_to_base_ten:nn   \int_from_base:nn
\cs_new_nopar:Npn \int_to_symbol:n
  {
    \mode_if_math:TF
      { \int_to_symbol_math:n }
      { \int_to_symbol_text:n }
  }
\cs_new:Npn \int_to_symbol_math:n #1
  {
    \int_to_symbols:nnn {#1} { 9 }
      {
        { 1 } {                 * }
        { 2 } {           \dagger }
        { 3 } {          \ddagger }
        { 4 } {      \mathsection }
        { 5 } {    \mathparagraph }
        { 6 } {                \| }
        { 7 } {                ** }
        { 8 } {   \dagger \dagger }
        { 9 } { \ddagger \ddagger }
      }
  }
\cs_new:Npn \int_to_symbol_text:n #1
  {
    \int_to_symbols:nnn {#1} { 9 }
      {
        { 1 } {                       \textasteriskcentered }
        { 2 } {                                 \textdagger }
        { 3 } {                              \textdaggerdbl }
        { 4 } {                                \textsection }
        { 5 } {                              \textparagraph }
        { 6 } {                                 \textbardbl }
        { 7 } { \textasteriskcentered \textasteriskcentered }
        { 8 } {                     \textdagger \textdagger }
        { 9 } {               \textdaggerdbl \textdaggerdbl }
      }
  }
%% 
%%
%% End of file `l3int.sty'.