[Tex/LaTex] How to implement a \tomorrow in latex

datetime

I was asked how to implement a \tomorrow macro in TeX/LaTeX. While I could come up with a reasonably good solution, working for one document class, I don't see how that could be achieved in a document class agnostic way.

I found advdate, but even though the date arithmetic may be of use, it assumes a specific format for the date (which also is wrong for the locale I reside in).

Does anyone have a reasonably portable solution? Is this even possible?

Best Answer

Here is a prototype in LaTeX3; the data about tomorrow is available in the integer variables

\l_tomorrow_day_int
\l_tomorrow_month_int
\l_tomorrow_year_int

The code follows; the final macro is just an example of how the data can be used, possibly in connection with datetime.

\documentclass{article}
\usepackage{xparse}
\ExplSyntaxOn
\prop_new:N \g_tomorrow_months_prop
\bool_new:N \l_tomorrow_leap_bool
\int_new:N \l_tomorrow_day_int
\int_new:N \l_tomorrow_month_int
\int_new:N \l_tomorrow_year_int
\prop_gput:Nnn \g_tomorrow_months_prop {  1 } { 31 }
\prop_gput:Nnn \g_tomorrow_months_prop {  2 } { \bool_if:NTF \l_tomorrow_leap_bool { 29 } { 28 } }
\prop_gput:Nnn \g_tomorrow_months_prop {  3 } { 31 }
\prop_gput:Nnn \g_tomorrow_months_prop {  4 } { 30 }
\prop_gput:Nnn \g_tomorrow_months_prop {  5 } { 31 }
\prop_gput:Nnn \g_tomorrow_months_prop {  6 } { 30 }
\prop_gput:Nnn \g_tomorrow_months_prop {  7 } { 31 }
\prop_gput:Nnn \g_tomorrow_months_prop {  8 } { 31 }
\prop_gput:Nnn \g_tomorrow_months_prop {  9 } { 30 }
\prop_gput:Nnn \g_tomorrow_months_prop { 10 } { 31 }
\prop_gput:Nnn \g_tomorrow_months_prop { 11 } { 30 }
\prop_gput:Nnn \g_tomorrow_months_prop { 12 } { 31 }

\cs_new_protected:Npn \tomorrow_check_leap:n #1
 {
  \int_compare:nTF { 0 = \int_mod:nn { #1 } { 4 } }
   {% possibly a leap year
    \int_compare:nTF { 0 = \int_mod:nn { #1 } { 100 } }
     {% possibly not a leap year
      \int_compare:nTF { 0 = \int_mod:nn { #1/100 } { 4 } }
       {% leap year
        \bool_set_true:N \l_tomorrow_leap_bool
       }
       {% not leap year
        \bool_set_false:N \l_tomorrow_leap_bool
       }
     }
     {% leap year
      \bool_set_true:N \l_tomorrow_leap_bool
     }
   }
   {% not leap year
    \bool_set_false:N \l_tomorrow_leap_bool
   }
 }

\cs_new_protected:Npn \tomorrow_set_tomorrow:nnn #1 #2 #3
 {
  \int_compare:nT { #2 = 2 } { \tomorrow_check_leap:n { #3 } }
  \int_set:Nn \l_tomorrow_day_int { #1 }
  \int_set:Nn \l_tomorrow_month_int { #2 }
  \int_set:Nn \l_tomorrow_year_int { #3 }
  \__tomorrow_incr_day:
 }
\cs_new_protected:Npn \__tomorrow_incr_day:
 {
  \int_incr:N \l_tomorrow_day_int
  \int_compare:nT
   { \l_tomorrow_day_int > \prop_get:NV \g_tomorrow_months_prop \l_tomorrow_month_int }
   {
    \int_set:Nn \l_tomorrow_day_int { 1 }
     \__tomorrow_incr_month:
   }
 }
\cs_new_protected:Npn \__tomorrow_incr_month:
 {
  \int_incr:N \l_tomorrow_month_int
  \int_compare:nT { \l_tomorrow_month_int > 12 }
   {
    \int_set:Nn \l_tomorrow_month_int { 1 }
    \int_incr:N \l_tomorrow_year_int
   }
 }
\cs_generate_variant:Nn \prop_get:Nn { NV }

\NewDocumentCommand{\printtomorrowof}{mmm}
 {
  \tomorrow_set_tomorrow:nnn { #1 } { #2 } { #3 }
  Today~it~is~
  \int_to_arabic:n { #3 }/
  \int_to_arabic:n { #2 }/
  \int_to_arabic:n { #1 },~
  tomorrow~it~is~
  \int_to_arabic:n { \l_tomorrow_year_int }/
  \int_to_arabic:n { \l_tomorrow_month_int }/
  \int_to_arabic:n { \l_tomorrow_day_int }
  \par
 }
\ExplSyntaxOff

\begin{document}

\printtomorrowof{\day}{\month}{\year}
\printtomorrowof{30}{10}{2012}
\printtomorrowof{31}{10}{2012}
\printtomorrowof{31}{12}{2012}
\printtomorrowof{28}{2}{2012}
\printtomorrowof{28}{2}{2013}
\printtomorrowof{28}{2}{1900}
\printtomorrowof{28}{2}{2000}

\end{document}

As you see, leap years are correctly recognized. Only Gregorian calendar, of course.

In order to define a suitable \tomorrow command, you can add (before \ExplSyntaxOn) a babel version

\NewDocumentCommand{\tomorrow}{}
 {
  \tomorrow_set_tomorrow:nnn { \day } { \month } { \year }
  \group_begin:
  \day = \l_tomorrow_day_int
  \month = \l_tomorrow_month_int
  \year = \l_tomorrow_year_int
  \today
  \group_end:
 }

or a datetime version (requires package datetime, of course)

\NewDocumentCommand{\tomorrow}{}
 {
  \tomorrow_set_tomorrow:nnn { \day } { \month } { \year }
  \formatdate { \l_tomorrow_day_int }
              { \l_tomorrow_month_int }
              { \l_tomorrow_year_int }
 }

enter image description here


This is, of course, overkill if one wants only tomorrow's date. The macros actually allow to compute any date from a given one, given the interval (positive or negative). One might make expandable also the "reverse" from a Julian date to the form "Day/Month/Year", but it would be very slow.

\documentclass{article}
\usepackage{xparse}
\ExplSyntaxOn
\DeclareExpandableDocumentCommand{\juliandate}{ m m m }
 {
  \juliandate_calc:nnnn { #1 } { #2 } { #3 } { \use:n }
 }
\NewDocumentCommand{\storejuliandate}{ s m m m m }
 {
  \IfBooleanTF{#1}
   {
    \juliandate_calc:nnnn { #3 } { #4 } { #5 } { \cs_set:Npx #2 }
   }
   {
    \juliandate_calc:nnnn { #3 } { #4 } { #5 } { \cs_new:Npx #2 }
   }
 }
\cs_new:Npn \juliandate_calc:nnnn #1 #2 #3 #4 % #1 = day, #2 = month, #3 = year, #4 = what to do
 {
  #4 
   {
    \int_eval:n
     {
      #1 +
      \int_div_truncate:nn { 153 * (#2 + 12 * \int_div_truncate:nn { 14 - #2 } { 12 } - 3) + 2 } { 5 } +
      365 * (#3 + 4800 - \int_div_truncate:nn { 14 - #2 } { 12 } ) +
      \int_div_truncate:nn { #3 + 4800 - \int_div_truncate:nn { 14 - #2 } { 12 } } { 4 } -
      \int_div_truncate:nn { #3 + 4800 - \int_div_truncate:nn { 14 - #2 } { 12 } } { 100 } + 
      \int_div_truncate:nn { #3 + 4800 - \int_div_truncate:nn { 14 - #2 } { 12 } } { 400 } -
      32045
     }
   }
 }

\tl_new:N \l__juliandate_g_tl
\tl_new:N \l__juliandate_dg_tl
\tl_new:N \l__juliandate_c_tl
\tl_new:N \l__juliandate_dc_tl
\tl_new:N \l__juliandate_b_tl
\tl_new:N \l__juliandate_db_tl
\tl_new:N \l__juliandate_a_tl
\tl_new:N \l__juliandate_da_tl
\tl_new:N \l__juliandate_y_tl
\tl_new:N \l__juliandate_m_tl
\tl_new:N \l__juliandate_d_tl
\int_new:N \l_juliandate_day_int
\int_new:N \l_juliandate_month_int
\int_new:N \l_juliandate_year_int

\cs_new:Npn \__juliandate_set:nn #1 #2
 {
  \tl_set:cx { l__juliandate_#1_tl } { \int_eval:n { #2 } }
 }
\cs_new:Npn \__juliandate_use:n #1
 {
  \tl_use:c { l__juliandate_#1_tl }
 }
\cs_new_protected:Npn \juliandate_reverse:n #1
 {
  \__juliandate_set:nn { g }
   { \int_div_truncate:nn { #1 + 32044 } { 146097 } }
  \__juliandate_set:nn { dg }
   { \int_mod:nn { #1 + 32044 } { 146097 } }
  \__juliandate_set:nn { c }
   { \int_div_truncate:nn { ( \int_div_truncate:nn { \__juliandate_use:n { dg } } { 36524 } + 1) * 3 } { 4 } }
  \__juliandate_set:nn { dc }
   { \__juliandate_use:n { dg } - \__juliandate_use:n { c } * 36524 }
  \__juliandate_set:nn { b }
   { \int_div_truncate:nn { \__juliandate_use:n { dc } } { 1461 } }
  \__juliandate_set:nn { db }
   { \int_mod:nn { \__juliandate_use:n { dc } } { 1461 } }
  \__juliandate_set:nn { a }
   { \int_div_truncate:nn { ( \int_div_truncate:nn { \__juliandate_use:n { db } } { 365 } + 1) * 3 } { 4 } }
  \__juliandate_set:nn { da }
   { \__juliandate_use:n { db } - \__juliandate_use:n { a } * 365 }
  \__juliandate_set:nn { y }
   {
     \__juliandate_use:n { g } * 400 + 
     \__juliandate_use:n { c } * 100 + 
     \__juliandate_use:n { b } * 4 + 
     \__juliandate_use:n { a }
    }
  \__juliandate_set:nn { m }
   { \int_div_truncate:nn { \__juliandate_use:n { da } * 5 + 308 } { 153 } - 2 }
  \__juliandate_set:nn { d }
   { \__juliandate_use:n { da } - \int_div_truncate:nn { (\__juliandate_use:n { m } + 4) * 153 } { 5 } + 122 }
  \int_set:Nn \l_juliandate_year_int
   { \__juliandate_use:n { y } - 4800 + \int_div_truncate:nn { \__juliandate_use:n { m } + 2 } { 12 } }
  \int_set:Nn \l_juliandate_month_int
   { \int_mod:nn { \__juliandate_use:n { m } + 2 } { 12 } + 1 }
  \int_set:Nn \l_juliandate_day_int
   { \__juliandate_use:n { d } + 1 }
 }
\cs_generate_variant:Nn \juliandate_reverse:n { x }

\NewDocumentCommand{\showday}{ m }
 {
  \juliandate_reverse:n { #1 }
  \int_to_arabic:n { \l_juliandate_day_int }-
  \int_to_arabic:n { \l_juliandate_month_int }-
  \int_to_arabic:n { \l_juliandate_year_int }
 }

\NewDocumentCommand{\tomorrow}{ }
 {
  \group_begin:
  \juliandate_reverse:x { \juliandate_calc:nnnn { \day + 1 } { \month } { \year } { \use:n } }
  \day = \l_juliandate_day_int
  \month = \l_juliandate_month_int
  \year = \l_juliandate_year_int
  \today
  \group_end:
 }
\NewDocumentCommand{\tomorrowof}{ m m m }
 {
  \group_begin:
  \juliandate_reverse:x { \juliandate_calc:nnnn { #1 + 1 } { #2 } { #3 } { \use:n } }
  \day = \l_juliandate_day_int
  \month = \l_juliandate_month_int
  \year = \l_juliandate_year_int
  \today
  \group_end:
 }
\ExplSyntaxOff
\begin{document}
\juliandate{18}{12}{2012}

\storejuliandate*{\x}{18}{12}{2012}\x

\storejuliandate*{\x}{1}{1}{1900}\x

\showday{2456280}

\showday{2415021}

\tomorrow

\tomorrowof{31}{12}{2012}

\tomorrowof{28}{2}{2012}

\tomorrowof{29}{2}{2012}

\tomorrowof{28}{2}{2013}

\tomorrowof{28}{2}{1900}

\end{document}