%%
%% This is file `l3int.sty',
%% generated with the docstrip utility.
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%% The original source files were:
%%
%% l3int.dtx  (with options: `package,trace')
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%% 
%% EXPERIMENTAL CODE
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%% File: l3int.dtx Copyright (C) 1990-2010 LaTeX3 project
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\RequirePackage{l3names}
\GetIdInfo$Id: l3int.dtx 2029 2010-09-19 13:59:02Z joseph $
          {L3 Experimental Integer module}
\ProvidesExplPackage
  {\filename}{\filedate}{\fileversion}{\filedescription}
\package_check_loaded_expl:
\cs_new_eq:NN \int_to_roman:w \tex_romannumeral:D
\cs_new_eq:NN \int_to_number:w \tex_number:D
\cs_new_eq:NN \int_advance:w \tex_advance:D
\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_set:Nn #1#2{#1 \intexpr_eval:w #2\intexpr_eval_end:
}
\cs_new_protected_nopar:Npn \int_gset:Nn {
 \pref_global:D
   \int_set:Nn }
\cs_generate_variant:Nn\int_set:Nn  {cn}
\cs_generate_variant:Nn\int_gset:Nn {cn}
\cs_new_protected_nopar:Npn \int_incr:N #1{\int_advance:w#1\c_one
}
\cs_new_protected_nopar:Npn \int_decr:N #1{\int_advance:w#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_set_protected_nopar:Npn \int_incr:N #1{\int_add:Nn#1\c_one}
\cs_set_protected_nopar:Npn \int_decr:N #1{\int_add:Nn#1\c_minus_one}
\cs_set_protected_nopar:Npn \int_gincr:N #1{\int_gadd:Nn#1\c_one}
\cs_set_protected_nopar:Npn \int_gdecr:N #1{\int_gadd:Nn#1\c_minus_one}
\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_zero:N  #1 {#1=\c_zero}
\cs_generate_variant:Nn \int_zero:N {c}
\cs_new_protected_nopar:Npn \int_gzero:N #1 {\pref_global:D #1=\c_zero}
\cs_generate_variant:Nn \int_gzero:N {c}
\cs_new_protected_nopar:Npn \int_add:Nn #1#2{
    \int_advance:w #1 by \intexpr_eval:w #2\intexpr_eval_end:
}
\cs_new_nopar:Npn \int_sub:Nn #1#2{
    \int_advance:w #1-\intexpr_eval:w #2\intexpr_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  {cn}
\cs_generate_variant:Nn \int_gadd:Nn {cn}
\cs_generate_variant:Nn \int_sub:Nn  {cn}
\cs_generate_variant:Nn \int_gsub:Nn {cn}
\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:}
\cs_new_eq:NN  \int_show:N  \kernel_register_show:N
\cs_new_eq:NN  \int_show:c  \kernel_register_show:c
\cs_new_nopar:Npn \int_to_arabic:n #1{ \intexpr_eval:n{#1}}
\cs_new_protected_nopar:Npn \int_roman_lcuc_mapping:Nnn #1#2#3{
  \cs_set_nopar:cpn {int_to_lc_roman_#1:}{#2}
  \cs_set_nopar:cpn {int_to_uc_roman_#1:}{#3}
}
\int_roman_lcuc_mapping:Nnn i i I
\int_roman_lcuc_mapping:Nnn v v V
\int_roman_lcuc_mapping:Nnn x x X
\int_roman_lcuc_mapping:Nnn l l L
\int_roman_lcuc_mapping:Nnn c c C
\int_roman_lcuc_mapping:Nnn d d D
\int_roman_lcuc_mapping:Nnn m m M
\int_roman_lcuc_mapping:Nnn Q \use_none:nn \use_none:nn
\cs_new_nopar:Npn \int_to_roman:n #1 {
  \exp_after:wN \int_to_roman_lcuc:NN \exp_after:wN l
    \int_to_roman:w \intexpr_eval:n {#1} Q
}
\cs_new_nopar:Npn \int_to_Roman:n #1 {
  \exp_after:wN \int_to_roman_lcuc:NN \exp_after:wN u
    \int_to_roman:w \intexpr_eval:n {#1} Q
}
\cs_new_nopar:Npn \int_to_roman_lcuc:NN #1#2{
  \use:c {int_to_#1c_roman_#2:}
  \int_to_roman_lcuc:NN #1
}
\cs_set_nopar:Npn \int_convert_number_with_rule:nnN #1#2#3{
  \intexpr_compare:nNnTF {#1}>{#2}
  {
    \exp_args:Nf \int_convert_number_with_rule:nnN
      { \intexpr_div_truncate:nn {#1-1}{#2} }{#2}
      #3
    \exp_args:Nf #3 { \intexpr_eval:n{1+\intexpr_mod:nn {#1-1}{#2}} }
  }
  { \exp_args:Nf #3{ \intexpr_eval:n{#1} } }
}
\cs_new_nopar:Npn \int_alph_default_conversion_rule:n #1{
  \if_case:w #1
    \or: 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
  \fi:
}
\cs_new_nopar:Npn \int_Alph_default_conversion_rule:n #1{
  \if_case:w #1
    \or: 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
  \fi:
}
\cs_new_nopar:Npn \int_to_alph:n #1{
  \int_convert_number_with_rule:nnN {#1}{26}
    \int_alph_default_conversion_rule:n
}
\cs_new_nopar:Npn \int_to_Alph:n #1{
  \int_convert_number_with_rule:nnN {#1}{26}
    \int_Alph_default_conversion_rule:n
}
\cs_new_nopar:Npn \int_to_symbol:n #1{
  \mode_if_math:TF
  {
    \int_convert_number_with_rule:nnN {#1}{9}
      \int_symbol_math_conversion_rule:n
  }
  {
    \int_convert_number_with_rule:nnN {#1}{9}
      \int_symbol_text_conversion_rule:n
  }
}
\cs_new_nopar:Npn \int_symbol_math_conversion_rule:n #1 {
  \if_case:w #1
    \or: *
    \or: \dagger
    \or: \ddagger
    \or: \mathsection
    \or: \mathparagraph
    \or: \|
    \or: **
    \or: \dagger\dagger
    \or: \ddagger\ddagger
  \fi:
}
\cs_new_nopar:Npn \int_symbol_text_conversion_rule:n #1 {
  \if_case:w #1
    \or: \textasteriskcentered
    \or: \textdagger
    \or: \textdaggerdbl
    \or: \textsection
    \or: \textparagraph
    \or: \textbardbl
    \or: \textasteriskcentered\textasteriskcentered
    \or: \textdagger\textdagger
    \or: \textdaggerdbl\textdaggerdbl
  \fi:
}
\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
\cs_set_nopar:Npn \int_pre_eval_one_arg:Nn #1#2{
  \exp_args:Nf#1{\intexpr_eval:n{#2}}}
\cs_set_nopar:Npn \int_pre_eval_two_args:Nnn #1#2#3{
  \exp_args:Nff#1{\intexpr_eval:n{#2}}{\intexpr_eval:n{#3}}
}
\cs_new_protected_nopar:Npn \int_const:Nn #1#2 {
  \intexpr_compare:nTF { #2 > \c_minus_one }
    {
      \intexpr_compare:nTF { #2 > \c_max_register_int }
        {
          \int_new:N #1
          \int_gset:Nn #1 {#2}
        }
        {
          \chk_if_free_cs:N #1
            \tex_global:D \tex_mathchardef:D #1 = \intexpr_eval:n {#2}
        }
    }
    {
      \int_new:N #1
      \int_gset:Nn #1 {#2}
    }
}
 %% \tex_countdef:D \c_minus_one = 10 \scan_stop:
 %% \c_minus_one = -1 \scan_stop:        %% in l3basics
\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_six    {6}
\int_const:Nn \c_seven  {7}
\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_twelve   {12}
\int_const:Nn \c_thirteen {13}
\int_const:Nn \c_fourteen {14}
\int_const:Nn \c_fifteen  {15}
 %% \tex_chardef:D \c_sixteen    = 16\scan_stop: %% in l3basics
\int_const:Nn \c_thirty_two {32}
\int_const:Nn \c_hundred_one          {101}
\int_const:Nn \c_twohundred_fifty_five{255}
\int_const:Nn \c_twohundred_fifty_six {256}
\int_const:Nn \c_thousand             {1000}
\int_const:Nn \c_ten_thousand         {10000}
\int_const:Nn \c_ten_thousand_one     {10001}
\int_const:Nn \c_ten_thousand_two     {10002}
\int_const:Nn \c_ten_thousand_three   {10003}
\int_const:Nn \c_ten_thousand_four    {10004}
\int_const:Nn \c_twenty_thousand      {20000}
\int_const:Nn \c_max_int {2147483647}
\cs_new_nopar:Npn \int_get_sign_and_digits:n #1{
  \int_get_sign_and_digits_aux:nNNN {#1} \c_true_bool \c_true_bool \c_true_bool
}
\cs_new_nopar: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_nopar: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_nopar:Npn \int_get_sign_and_digits_aux:nNNN #1#2#3#4{
  \tl_if_head_eq_charcode:fNTF {#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 }
  }
  {
    \tl_if_head_eq_charcode:fNTF {#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 {oNNN}
\cs_set_nopar:Npn \int_convert_from_base_ten:nn#1#2{
  \intexpr_compare:nNnTF {#1}<\c_zero
  {
    - \int_convert_from_base_ten_aux:nfn {}
    {  \intexpr_eval:n {-#1} }
  }
  {
    \int_convert_from_base_ten_aux:nfn {}
    {  \intexpr_eval:n {#1} }
  }
  {#2}
}
\cs_new_nopar:Npn \int_convert_from_base_ten_aux:nnn#1#2#3{
  \intexpr_compare:nNnTF {#2}<{#3}
  { \int_convert_number_to_letter:n{#2} #1 }
  {
    \int_convert_from_base_ten_aux:ffn
    {
      \int_convert_number_to_letter:n {\intexpr_mod:nn {#2}{#3}}
      #1
    }
    { \intexpr_div_truncate:nn{#2}{#3}}
    {#3}
  }
}
\cs_generate_variant:Nn \int_convert_from_base_ten_aux:nnn {nfn}
\cs_generate_variant:Nn \int_convert_from_base_ten_aux:nnn {ffn}
\cs_set_nopar:Npn \int_convert_number_to_letter:n #1{
  \if_case:w \intexpr_eval:w #1-10\intexpr_eval_end:
  \exp_after:wN A \or: \exp_after:wN B \or:
  \exp_after:wN C \or: \exp_after:wN D \or: \exp_after:wN E \or:
  \exp_after:wN F \or: \exp_after:wN G \or: \exp_after:wN H \or:
  \exp_after:wN I \or: \exp_after:wN J \or: \exp_after:wN K \or:
  \exp_after:wN L \or: \exp_after:wN M \or: \exp_after:wN N \or:
  \exp_after:wN O \or: \exp_after:wN P \or: \exp_after:wN Q \or:
  \exp_after:wN R \or: \exp_after:wN S \or: \exp_after:wN T \or:
  \exp_after:wN U \or: \exp_after:wN V \or: \exp_after:wN W \or:
  \exp_after:wN X \or: \exp_after:wN Y \or: \exp_after:wN Z \else:
  \use_i_after_fi:nw{ #1 }\fi: }
\cs_set_nopar:Npn \int_convert_to_base_ten:nn #1#2 {
  \intexpr_eval:n{
    \int_get_sign:n{#1}
    \exp_args:Nf\int_convert_to_base_ten_aux:nn {\int_get_digits:n{#1}}{#2}
  }
}
\cs_new_nopar:Npn \int_convert_to_base_ten_aux:nn #1#2{
  \int_convert_to_base_ten_auxi:nnN {0}{#2} #1 \q_no_value
}
\cs_new_nopar:Npn \int_convert_to_base_ten_auxi:nnN#1#2#3{
  \quark_if_no_value:NTF #3
  {#1}
  {\exp_args:Nf\int_convert_to_base_ten_auxi:nnN
    {\intexpr_eval:n{ #1*#2+\int_convert_letter_to_number:N #3} }
    {#2}
  }
}
\cs_set_nopar:Npn \int_convert_letter_to_number:N #1{
  \intexpr_compare:nNnTF{`#1}<{58}{#1}
  {
    \intexpr_eval:n{ `#1 -
      \intexpr_compare:nNnTF{`#1}<{91}{ 55 }{ 87 }
    }
  }
}
\int_new:N \g_tl_inline_level_int
%% 
%%
%% End of file `l3int.sty'.