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authorKarl Berry <karl@freefriends.org>2019-07-21 20:50:55 +0000
committerKarl Berry <karl@freefriends.org>2019-07-21 20:50:55 +0000
commitaad5d81ab8c0e290b133dca9e566845bf37c09e3 (patch)
tree29cd7d69fb677e55a6238a621d384ccf9e10515e /Master/texmf-dist/tex/latex/derivative
parentd2cedbb9100be2efe2cf00e209c623a190e0551a (diff)
derivative (21jul19)
git-svn-id: svn://tug.org/texlive/trunk@51696 c570f23f-e606-0410-a88d-b1316a301751
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-rw-r--r--Master/texmf-dist/tex/latex/derivative/derivative.sty1337
1 files changed, 1337 insertions, 0 deletions
diff --git a/Master/texmf-dist/tex/latex/derivative/derivative.sty b/Master/texmf-dist/tex/latex/derivative/derivative.sty
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+% derivative.sty
+% Copyright 2019 Simon Jensen
+%
+% This work may be distributed and/or modified under the
+% conditions of the LaTeX Project Public License, either version 1.3
+% of this license or (at your option) any later version.
+% The latest version of this license is in
+% http://www.latex-project.org/lppl.txt
+% and version 1.3 or later is part of all distributions of LaTeX
+% version 2005/12/01 or later.
+%
+% This work has the LPPL maintenance status `maintained'.
+%
+% The Current Maintainer of this work is Simon Jensen.
+
+\NeedsTeXFormat{LaTeX2e}
+
+\RequirePackage{xparse}[2018/05/09]
+\ProvidesExplPackage{derivative}{2019/07/21}{0.9}{Nice and easy derivatives}
+
+%%%%% Useful conditionals %%%%%
+
+\prg_new_conditional:Npnn \__if_novalue_blank:n #1 { T , F , TF }
+{
+ \tl_if_novalue:nTF {#1}
+ { \prg_return_true: }
+ {
+ \tl_if_blank:nTF {#1}
+ { \prg_return_true: }
+ { \prg_return_false: }
+ }
+}
+
+\prg_new_conditional:Npnn \__if_novalue_blank_or:nn #1 #2 { F, TF }
+{
+ \__if_novalue_blank:nTF {#1}
+ {
+ \__if_novalue_blank:nTF {#2}
+ { \prg_return_true: }
+ { \prg_return_false: }
+ }
+ { \prg_return_false: }
+}
+
+\prg_new_conditional:Npnn \__show_order:N #1 { T, TF }
+{
+ \quark_if_no_value:NTF #1
+ { \prg_return_false: }
+ {
+ \str_if_eq:NNTF #1 1
+ { \prg_return_false: }
+ {
+ \exp_args:NV \tl_if_novalue:nTF #1
+ { \prg_return_false: }
+ {
+ \tl_if_blank:VTF #1
+ { \prg_return_false: }
+ { \prg_return_true: }
+ }
+ }
+ }
+}
+
+\cs_new:Npn \__deriv_case:n #1
+{ \exp:w \__deriv_case_begin:nTF {#1} { } { } }
+
+\cs_new:Npn \__deriv_case:nT #1#2
+{ \exp:w \__deriv_case_begin:nTF {#1} {#2} { } }
+
+\cs_new:Npn \__deriv_case:nF #1#2
+{ \exp:w \__deriv_case_begin:nTF {#1} { } {#2} }
+
+\cs_new:Npn \__deriv_case:nTF #1
+{ \exp:w \__deriv_case_begin:nTF {#1} }
+
+\cs_new:Npn \__deriv_case_begin:nTF #1#2#3
+{ \__deriv_case:w #1 \c_true_bool { } \q_mark {#2} \q_mark {#3} \q_stop }
+
+\cs_new:Npn \__deriv_case:w #1#2
+{
+ \bool_if:nTF {#1}
+ { \__deriv_case_end:nw {#2} }
+ { \__deriv_case:w }
+}
+
+\cs_new:Npn \__deriv_case_end:nw #1#2#3 \q_mark #4#5 \q_stop
+{ \exp_end: #1 #4 }
+
+%%%%% slash frac %%%%%
+
+\DeclareDocumentCommand{\slashfrac}{ o m m }
+{
+ \tl_if_novalue:nTF {#1}
+ { \__deriv_slashfrac_auto:nn {#2} {#3} }
+ {
+ \str_case:nnF {#1}
+ {
+ { auto } { \__deriv_slashfrac_auto:nn {#2} {#3} }
+ { none } { \__deriv_slashfrac_none:nn {#2} {#3} }
+ }
+ { \__deriv_slashfrac_scale:nnn {#1} {#2} {#3} }
+ }
+}
+% numerator , denominator
+\cs_new_protected:Npn \__deriv_slashfrac_auto:nn #1 #2
+{
+ \__deriv_auto_left:n . \kern-\nulldelimiterspace
+ {#1} \middle/ {#2}
+ \__deriv_auto_right:n . \kern-\nulldelimiterspace
+}
+% numerator , denominator
+\cs_new_protected:Npn \__deriv_slashfrac_none:nn #1 #2
+{
+ {#1} / {#2}
+}
+% scale , numerator , denominator
+\cs_new_protected:Npn \__deriv_slashfrac_scale:nnn #1 #2 #3
+{
+ \cs:w #1 l \cs_end: .
+ {#2}
+ \cs:w #1 \cs_end: /
+ {#3}
+ \cs:w #1 r \cs_end: .
+}
+
+%%%%% Variables for settings of odv, pdv and variants %%%%%
+
+\cs_new_protected:Npn \__deriv_auto_left:n #1 { \left #1 }
+\cs_new_protected:Npn \__deriv_auto_right:n #1 { \right #1 }
+
+\tl_new:N \l__deriv_dv_tmp_tl
+\tl_new:N \l__deriv_derivset_tl
+
+\seq_new:N \l__deriv_var_seq
+\seq_new:N \l__deriv_rubber_seq
+
+%%%%% Variables for odv %%%%%
+
+\seq_new:N \l__deriv_d_variant_seq
+
+\tl_new:N \l__deriv_d_order_tl
+
+%%%%% Variables for pdv and mixed order (mo) %%%%%
+
+\seq_new:N \l__deriv_p_variant_seq
+
+\tl_new:N \l__deriv_p_tmpa_tl
+\tl_new:N \l__deriv_p_mo_tl
+\tl_new:N \l__deriv_p_denom_tl
+
+\seq_new:N \l__deriv_p_var_seq
+\seq_new:N \l__deriv_p_order_seq
+\seq_new:N \l__deriv_p_mo_seq
+
+\int_new:N \l__deriv_vmo_int
+
+\tl_new:N \l__deriv_sym_tmpa_tl
+\tl_new:N \l__deriv_num_tmpa_tl
+\tl_new:N \l__deriv_sym_tmpb_tl
+\tl_new:N \l__deriv_num_tmpb_tl
+\tl_new:N \l__deriv_input_tl
+
+\seq_new:N \l__deriv_input_seq
+\seq_new:N \l__deriv_extract_seq
+\seq_new:N \l__deriv_unsorted_seq
+\seq_new:N \l__deriv_sorted_seq
+
+\seq_new:N \l__deriv_symbol_seq
+\seq_new:N \l__deriv_number_seq
+\seq_new:N \l__deriv_rebuild_seq
+
+\int_new:N \l__deriv_tmpa_int
+
+\int_new:N \l__deriv_numerical_int
+\int_new:N \l__deriv_sort_counter_int
+\int_new:N \l__deriv_sort_max_int
+
+\int_new:N \l__deriv_position_int
+\int_new:N \l__deriv_rebuild_int
+
+\regex_const:Nn \c__deriv_pattern_regex { \A([\+\-]?\d*)(.*) }
+
+%%%%%% Key-val for all %%%%%%
+
+\keys_define:nn { deriv-all-settings }
+{
+ scale-auto .choice:,
+ scale-auto / leftright .code:n =
+ {
+ \cs_set_eq:NN \__deriv_auto_left:n \left
+ \cs_set_eq:NN \__deriv_auto_right:n \right
+ },
+ scale-auto / mleftmright .code:n =
+ {
+ \cs_set_eq:NN \__deriv_auto_left:n \mleft
+ \cs_set_eq:NN \__deriv_auto_right:n \mright
+ },
+ scale-auto .default:n = { leftright }
+}
+
+%%%%% Key-val for odv and variants %%%%%
+\cs_new:Npn \__deriv_d_define_keys:n #1
+{
+ \keys_define:nn { deriv-d-#1 }
+ {
+ style-inf .code:n = { \cs_set_eq:cN { __deriv_#1_style_inf:n } ##1 },
+
+ style-frac .code:n = { \cs_set_eq:cN { __deriv_#1_style_frac:n } ##1 },
+ style-frac .default:n = { \frac },
+
+ style-frac-/ .code:n = { \cs_set_eq:cN { __deriv_#1_style_frac_slash:n } ##1 },
+ style-frac-/ .default:n = { \slashfrac },
+
+ scale-eval .choices:nn =
+ { auto, none, big, Big, bigg, Bigg }
+ { \tl_set_eq:cN { l__deriv_#1_scale_eval_tl } \l_keys_choice_tl },
+
+ scale-eval .default:n = { auto },
+
+ scale-eval-/ .choices:nn =
+ { auto, none, big, Big, bigg, Bigg }
+ { \tl_set_eq:cN { l__deriv_#1_scale_eval_slash_tl } \l_keys_choice_tl },
+ scale-eval-/ .default:n = { auto },
+
+ scale-fun .choices:nn =
+ { auto, none, big, Big, bigg, Bigg }
+ { \tl_set_eq:cN { l__deriv_#1_scale_fun_tl } \l_keys_choice_tl },
+ scale-fun .default:n = { auto },
+
+ scale-var .choices:nn =
+ { auto, none, big, Big, bigg, Bigg }
+ { \tl_set_eq:cN { l__deriv_#1_scale_var_tl } \l_keys_choice_tl },
+ scale-var .default:n = { auto },
+
+ scale-frac .choices:nn =
+ { auto, none, big, Big, bigg, Bigg }
+ { \tl_set_eq:cN { l__deriv_#1_scale_frac_tl } \l_keys_choice_tl },
+ scale-frac .default:n = { auto },
+
+ scale-frac-/ .choices:nn =
+ { auto, none, big, Big, bigg, Bigg }
+ { \tl_set_eq:cN { l__deriv_#1_scale_frac_slash_tl } \l_keys_choice_tl },
+ scale-frac-/ .default:n = { auto },
+
+ delims-eval .code:n = { \tl_set:cn { l__deriv_#1_delims_eval_tl } { ##1 } },
+ delims-eval .default:n = { .\rvert },
+ delims-eval-/ .code:n = { \tl_set:cn { l__deriv_#1_delims_eval_slash_tl } { ##1 } },
+ delims-eval-/ .default:n = { .\rvert },
+ delims-fun .code:n = { \tl_set:cn { l__deriv_#1_delims_fun_tl } { ##1 } },
+ delims-fun .default:n = { () },
+ delims-var .code:n = { \tl_set:cn { l__deriv_#1_delims_var_tl } { ##1 } },
+ delims-var .default:n = { () },
+ delims-frac .code:n = { \tl_set:cn { l__deriv_#1_delims_frac_tl } { ##1 } },
+ delims-frac .default:n = { () },
+ delims-frac-/ .code:n = { \tl_set:cn { l__deriv_#1_delims_frac_slash_tl } { ##1 } },
+ delims-frac-/ .default:n = { () },
+
+ sep-inf-ord .code:n = { \__deriv_set_rubber_length:cn { l__deriv_#1_sep_inf_ord_muskip } {##1} },
+ sep-inf-ord .default:n = { 0 },
+ sep-inf-fun .code:n = { \__deriv_set_rubber_length:cn { l__deriv_#1_sep_inf_fun_muskip } {##1} },
+ sep-inf-fun .default:n = { 0 },
+ sep-ord-fun .code:n = { \__deriv_set_rubber_length:cn { l__deriv_#1_sep_ord_fun_muskip } {##1} },
+ sep-ord-fun .default:n = { 0 },
+ sep-var-ord .code:n = { \__deriv_set_rubber_length:cn { l__deriv_#1_sep_var_ord_muskip } {##1} },
+ sep-var-ord .default:n = { 0 },
+ sep-inf-var .code:n = { \__deriv_set_rubber_length:cn { l__deriv_#1_sep_inf_var_muskip } {##1} },
+ sep-inf-var .default:n = { 0 },
+ sep-eval-sb .code:n = { \__deriv_set_rubber_length:cn { l__deriv_#1_sep_eval_sb_muskip } {##1} },
+ sep-eval-sb .default:n = { 0 },
+ sep-eval-sp .code:n = { \__deriv_set_rubber_length:cn { l__deriv_#1_sep_eval_sp_muskip } {##1} },
+ sep-eval-sp .default:n = { 0 },
+
+ switch-* .bool_set:c = { l__deriv_#1_switch_star_bool },
+ switch-* .default:n = { false },
+ switch-/ .bool_set:c = { l__deriv_#1_switch_slash_bool },
+ switch-/ .default:n = { false },
+
+ misc-add-delims .multichoices:nn =
+ { fun, var, frac }
+ { \bool_set_true:c { l__deriv_#1_mics_##1_bool } },
+
+ misc-remove-delims .multichoices:nn =
+ { fun, var, frac }
+ { \bool_set_false:c { l__deriv_#1_mics_##1_bool } },
+ misc-remove-delims .default:n = { fun, var, frac }
+ }
+ \bool_lazy_or:nnT { \sys_if_engine_luatex_p: } { \sys_if_engine_xetex_p: }
+ {
+ \keys_define:nn { deriv-d-#1 }
+ { style-inf .default:n = { \symnormal } }
+ }
+ \sys_if_engine_pdftex:T
+ {
+ \keys_define:nn { deriv-d-#1 }
+ { style-inf .default:n = { \mathnormal } }
+ }
+}
+%%%%%% Key-val for pdv and variants %%%%%%
+\cs_new:Npn \__deriv_p_define_keys:n #1
+{
+ \keys_define:nn { deriv-p-#1 }
+ {
+ style-inf .code:n = { \cs_set_eq:cN { __deriv_#1_style_inf:n } ##1 },
+
+ style-frac .code:n = { \cs_set_eq:cN { __deriv_#1_style_frac:n } ##1 },
+ style-frac .default:n = { \frac },
+
+ style-frac-/ .code:n = { \cs_set_eq:cN { __deriv_#1_style_frac_slash:n } ##1 },
+ style-frac-/ .default:n = { \slashfrac },
+
+ scale-eval .choices:nn =
+ { auto, none, big, Big, bigg, Bigg }
+ { \tl_set_eq:cN { l__deriv_#1_scale_eval_tl } \l_keys_choice_tl },
+ scale-eval .default:n = { auto },
+
+ scale-eval-/ .choices:nn =
+ { auto, none, big, Big, bigg, Bigg }
+ { \tl_set_eq:cN { l__deriv_#1_scale_eval_slash_tl } \l_keys_choice_tl },
+ scale-eval-/ .default:n = { auto },
+
+ scale-fun .choices:nn =
+ { auto, none, big, Big, bigg, Bigg }
+ { \tl_set_eq:cN { l__deriv_#1_scale_fun_tl } \l_keys_choice_tl },
+ scale-fun .default:n = { auto },
+
+ scale-var .choices:nn =
+ { auto, none, big, Big, bigg, Bigg }
+ { \tl_set_eq:cN { l__deriv_#1_scale_var_tl } \l_keys_choice_tl },
+ scale-var .default:n = { auto },
+
+ scale-frac .choices:nn =
+ { auto, none, big, Big, bigg, Bigg }
+ { \tl_set_eq:cN { l__deriv_#1_scale_frac_tl } \l_keys_choice_tl },
+ scale-frac .default:n = { auto },
+
+ scale-frac-/ .choices:nn =
+ { auto, none, big, Big, bigg, Bigg }
+ { \tl_set_eq:cN { l__deriv_#1_scale_frac_slash_tl } \l_keys_choice_tl },
+ scale-frac-/ .default:n = { auto },
+
+ delims-eval .code:n = { \tl_set:cn { l__deriv_#1_delims_eval_tl } {##1} },
+ delims-eval .default:n = { () },
+ delims-eval-/ .code:n = { \tl_set:cn { l__deriv_#1_delims_eval_slash_tl } {##1} },
+ delims-eval-/ .default:n = { () },
+ delims-fun .code:n = { \tl_set:cn { l__deriv_#1_delims_fun_tl } {##1} },
+ delims-fun .default:n = { () },
+ delims-var .code:n = { \tl_set:cn { l__deriv_#1_delims_var_tl } {##1} },
+ delims-var .default:n = { () },
+ delims-frac .code:n = { \tl_set:cn { l__deriv_#1_delims_frac_tl } {##1} },
+ delims-frac .default:n = { () },
+ delims-frac-/ .code:n = { \tl_set:cn { l__deriv_#1_delims_frac_slash_tl } {##1} },
+ delims-frac-/ .default:n = { () },
+
+ sep-inf-ord .code:n = { \__deriv_set_rubber_length:cn { l__deriv_#1_sep_inf_ord_muskip } {##1} },
+ sep-inf-ord .default:n = { 0 },
+ sep-inf-fun .code:n = { \__deriv_set_rubber_length:cn { l__deriv_#1_sep_inf_fun_muskip } {##1} },
+ sep-inf-fun .default:n = { 0 },
+ sep-ord-fun .code:n = { \__deriv_set_rubber_length:cn { l__deriv_#1_sep_ord_fun_muskip } {##1} },
+ sep-ord-fun .default:n = { 0 },
+ sep-inf-var .code:n = { \__deriv_set_rubber_length:cn { l__deriv_#1_sep_inf_ord_muskip } {##1} },
+ sep-inf-var .default:n = { 0 },
+ sep-var-ord .code:n = { \__deriv_set_rubber_length:cn { l__deriv_#1_sep_var_ord_muskip } {##1} },
+ sep-var-ord .default:n = { 0 },
+ sep-var-inf .code:n = { \__deriv_set_rubber_length:cn { l__deriv_#1_sep_var_inf_muskip } {##1} },
+ sep-var-inf .default:n = { 3 },
+ sep-ord-inf .code:n = { \__deriv_set_rubber_length:cn { l__deriv_#1_sep_ord_inf_muskip } {##1} },
+ sep-ord-inf .default:n = { 3 },
+ sep-eval-sb .code:n = { \__deriv_set_rubber_length:cn { l__deriv_#1_sep_eval_sb_muskip } {##1} },
+ sep-eval-sb .default:n = { -4 },
+ sep-eval-sp .code:n = { \__deriv_set_rubber_length:cn { l__deriv_#1_sep_eval_sp_muskip } {##1} },
+ sep-eval-sp .default:n = { -4 },
+
+ switch-* .bool_set:c = { l__deriv_#1_switch_star_bool },
+ switch-* .default:n = { false },
+ switch-/ .bool_set:c = { l__deriv_#1_switch_slash_bool },
+ switch-/ .default:n = { false },
+
+ misc-add-delims .multichoices:nn =
+ { fun, var, frac }
+ { \bool_set_true:c { l__deriv_#1_mics_##1_bool } },
+
+ misc-remove-delims .multichoices:nn =
+ { fun, var, frac }
+ { \bool_set_false:c { l__deriv_#1_mics_##1_bool } },
+ misc-remove-delims .default:n = { fun, var, frac },
+
+ sort-method .clist_set:c = { l__deriv_#1_sort_method_clist }, % måske seq
+ sort-method .default:n = { abs, sign, symbol },
+
+ sort-numerical .choices:nn =
+ { auto, first, last }
+ { \tl_set_eq:cN { l__deriv_#1_sort_numerical_tl } \l_keys_choice_tl },
+ sort-numerical .default:n = { auto },
+
+ sort-sign-reverse .bool_set:c = { l__deriv_#1_sort_sign_reverse_bool },
+ sort-sign-reverse .default:n = { false },
+ sort-symbol-reverse .bool_set:c = { l__deriv_#1_sort_symbol_reverse_bool },
+ sort-symbol-reverse .default:n = { false },
+ sort-abs-reverse .bool_set:c = { l__deriv_#1_sort_abs_reverse_bool },
+ sort-abs-reverse .default:n = { false }
+ }
+ \bool_lazy_or:nnT { \sys_if_engine_luatex_p: } { \sys_if_engine_xetex_p: }
+ {
+ \keys_define:nn { deriv-p-#1 }
+ { style-inf .default:n = { \symnormal } }
+ }
+ \sys_if_engine_pdftex:T
+ {
+ \keys_define:nn { deriv-p-#1 }
+ { style-inf .default:n = { \mathnormal } }
+ }
+}
+
+\DeclareDocumentCommand{\derivset}{ m o }
+{
+ \token_if_macro:NTF {#1}
+ { \tl_set:Nx \l__deriv_derivset_tl { \cs_to_str:N #1 } }
+ { \tl_set:Nx \l__deriv_derivset_tl { \tl_to_str:n {#1} } }
+
+ \__deriv_derivset:Vn \l__deriv_derivset_tl {#2}
+}
+
+\cs_new_protected:Npn \__deriv_derivset:nn #1 #2
+{
+ \seq_if_in:NnTF \l__deriv_d_variant_seq {#1}
+ { \__deriv_d_set_keys:nn {#1} {#2} }
+ {
+ \seq_if_in:NnTF \l__deriv_p_variant_seq {#1}
+ { \__deriv_p_set_keys:nn {#1} {#2} }
+ {
+ \str_if_eq:nnTF {#1} { all }
+ { \__deriv_all_set_keys:n {#2} }
+ {
+ \msg_error:nnxx { deriv } { derivative-not-defined }
+ { \token_to_str:N #1 }
+ { \token_to_str:N \derivset }
+ }
+ }
+ }
+}
+% dv , key=val clist
+\cs_new_protected:Npn \__deriv_d_set_keys:nn #1 #2
+{
+ \tl_if_novalue:nTF {#2}
+ {
+ \keys_set:nn { deriv-d-#1 }
+ {
+ style-inf , style-frac , style-frac-/ ,
+ scale-eval , scale-eval-/ , scale-fun , scale-var , scale-frac , scale-frac-/ ,
+ delims-eval , delims-eval-/ , delims-fun , delims-var , delims-frac , delims-frac-/ ,
+ sep-inf-ord , sep-inf-fun , sep-ord-fun , sep-var-ord , sep-inf-var , sep-eval-sb , sep-eval-sp ,
+ switch-* , switch-/ ,
+ misc-remove-delims
+ }
+ }
+ { \keys_set:nn { deriv-d-#1 } {#2} }
+}
+% key=val clist
+\cs_new_protected:Npn \__deriv_p_set_keys:nn #1 #2
+{
+ \tl_if_novalue:nTF {#2}
+ {
+ \keys_set:nn { deriv-p-#1 }
+ {
+ style-inf , style-frac , style-frac-/ ,
+ scale-eval , scale-eval-/ , scale-fun , scale-var , scale-frac , scale-frac-/ ,
+ delims-eval , delims-eval-/ , delims-fun , delims-var , delims-frac , delims-frac-/ ,
+ sep-inf-ord , sep-inf-fun , sep-ord-fun , sep-inf-var , sep-var-ord , sep-var-inf , sep-ord-inf , sep-eval-sb , sep-eval-sp ,
+ switch-* , switch-/ ,
+ sort-method , sort-numerical , sort-sign-reverse , sort-symbol-reverse , sort-abs-reverse ,
+ misc-remove-delims
+ }
+ }
+ { \keys_set:nn { deriv-p-#1 } {#2} }
+}
+% key=val clist
+\cs_new_protected:Npn \__deriv_all_set_keys:n #1
+{
+ \tl_if_novalue:nTF {#1}
+ { \keys_set:nn { deriv-all-settings } { scale-auto } }
+ { \keys_set:nn { deriv-all-settings } {#1} }
+}
+
+%%%%% Declaring variants %%%%%
+
+\DeclareDocumentCommand{\NewOdvVariant}{ m m o }
+{
+ \cs_if_exist:NTF #1
+ {
+ \msg_error:nnxx { deriv } { command-already-defined }
+ { \token_to_str:N #1 }
+ { \token_to_str:N \NewOdvVariant }
+ }
+ {
+ \deriv_d_preamble:Nnn \l__deriv_dv_tmp_tl {#1} {#3}
+ \deriv_d_define:Vnnn \l__deriv_dv_tmp_tl { New } {#1} {#2}
+ }
+}
+
+\DeclareDocumentCommand{\RenewOdvVariant}{ m m o }
+{
+ \cs_if_exist:NTF #1
+ {
+ \deriv_d_preamble:Nnn \l__deriv_dv_tmp_tl {#1} {#3}
+ \deriv_d_define:Vnnn \l__deriv_dv_tmp_tl { Renew } {#1} {#2}
+ }
+ {
+ \msg_error:nnxx { deriv } { command-not-defined }
+ { \token_to_str:N #1 }
+ { \token_to_str:N \RenewOdvVariant }
+ }
+}
+
+\DeclareDocumentCommand{\ProvideOdvVariant}{ m m o }
+{
+ \cs_if_exist:NF #1
+ {
+ \deriv_d_preamble:Nnn \l__deriv_dv_tmp_tl {#1} {#3}
+ \deriv_d_define:Vnnn \l__deriv_dv_tmp_tl { Provide } {#1} {#2}
+ }
+}
+
+\DeclareDocumentCommand{\DeclareOdvVariant}{ m m o }
+{
+ \deriv_d_preamble:Nnn \l__deriv_dv_tmp_tl {#1} {#3}
+ \deriv_d_define:Vnnn \l__deriv_dv_tmp_tl { Declare } {#1} {#2}
+}
+
+\cs_new_protected:Npn \deriv_d_preamble:Nnn #1 #2 #3
+{
+ \tl_set:Nx #1 { \cs_to_str:N #2 }
+ \seq_if_in:NVF \l__deriv_d_variant_seq #1
+ {
+ \seq_put_left:NV \l__deriv_d_variant_seq #1
+ \__deriv_d_variables:V #1
+ \__deriv_d_define_keys:V #1
+ }
+ \__deriv_derivset:VV #1 \c_novalue_tl
+ \tl_if_novalue:nF {#3} { \__deriv_derivset:Vn #1 {#3} }
+}
+
+\cs_new_protected:Npn \deriv_d_define:nnnn #1 #2 #3 #4
+{
+ \use:c { #2 DocumentCommand }{#3}{ s o m t/ m !e{\sb^} }
+ {
+ \group_begin:
+ \exp_args:Nnc \bool_xor:nnTF {##4} { l__deriv_#1_switch_slash_bool }
+ {
+ \exp_args:Nnc \bool_xor:nnTF {##1} { l__deriv_#1_switch_star_bool }
+ { \__deriv_odv_both:Nnnnnnn #4 {#1} {##2} {##3} {##5} {##6} {##7} }
+ { \__deriv_odv_slash:Nnnnnnn #4 {#1} {##2} {##3} {##5} {##6} {##7} }
+ }
+ {
+ \exp_args:Nnc \bool_xor:nnTF {##1} { l__deriv_#1_switch_star_bool }
+ { \__deriv_odv_star:Nnnnnnn #4 {#1} {##2} {##3} {##5} {##6} {##7} }
+ { \__deriv_odv_none:Nnnnnnn #4 {#1} {##2} {##3} {##5} {##6} {##7} }
+ }
+ \group_end:
+ }
+}
+
+\DeclareDocumentCommand{\NewPdvVariant}{ m m o }
+{
+ \cs_if_exist:NTF #1
+ {
+ \msg_error:nnxx { deriv } { command-already-defined }
+ { \token_to_str:N #1 }
+ { \token_to_str:N \NewPdvVariant }
+ }
+ {
+ \deriv_p_preamble:Nnn \l__deriv_dv_tmp_tl {#1} {#3}
+ \deriv_p_define:Vnnn \l__deriv_dv_tmp_tl { New } {#1} {#2}
+ }
+}
+
+\DeclareDocumentCommand{\RenewPdvVariant}{ m m o }
+{
+ \cs_if_exist:NTF #1
+ {
+ \deriv_p_preamble:Nnn \l__deriv_dv_tmp_tl {#1} {#3}
+ \deriv_p_define:Vnnn \l__deriv_dv_tmp_tl { Renew } {#1} {#2}
+ }
+ {
+ \msg_error:nnxx { deriv } { command-already-defined }
+ { \token_to_str:N #1 }
+ { \token_to_str:N \RenewPdvVariant }
+ }
+}
+
+\DeclareDocumentCommand{\ProvidePdvVariant}{ m m o }
+{
+ \cs_if_exist:NF #1
+ {
+ \deriv_p_preamble:Nnn \l__deriv_dv_tmp_tl {#1} {#3}
+ \deriv_p_define:Vnnn \l__deriv_dv_tmp_tl { Provide } {#1} {#2}
+ }
+}
+
+\DeclareDocumentCommand{\DeclarePdvVariant}{ m m o }
+{
+ \deriv_p_preamble:Nnn \l__deriv_dv_tmp_tl {#1} {#3}
+ \deriv_p_define:Vnnn \l__deriv_dv_tmp_tl { Declare } {#1} {#2}
+}
+
+\cs_new_protected:Npn \deriv_p_preamble:Nnn #1 #2 #3
+{
+ \tl_set:Nx #1 { \cs_to_str:N #2 }
+ \seq_if_in:NVF \l__deriv_p_variant_seq #1
+ {
+ \seq_put_left:NV \l__deriv_p_variant_seq #1
+ \__deriv_p_variables:V #1
+ \__deriv_p_define_keys:V #1
+ }
+ \__deriv_derivset:VV #1 \c_novalue_tl
+ \tl_if_novalue:nF {#3} { \__deriv_derivset:Vn #1 {#3} }
+}
+
+\cs_new_protected:Npn \deriv_p_define:nnnn #1 #2 #3 #4
+{
+ \use:c { #2 DocumentCommand }{#3}{ s o o m t/ m !e{\sb^} }
+ {
+ \group_begin:
+ \exp_args:Nnc \bool_xor:nnTF {##5} { l__deriv_#1_switch_slash_bool }
+ {
+ \exp_args:Nnc \bool_xor:nnTF {##1} { l__deriv_#1_switch_star_bool }
+ { \__deriv_pdv_both:Nnnnnnnn #4 {#1} {##2} {##3} {##4} {##6} {##7} {##8} }
+ { \__deriv_pdv_slash:Nnnnnnnn #4 {#1} {##2} {##3} {##4} {##6} {##7} {##8} }
+ }
+ {
+ \exp_args:Nnc \bool_xor:nnTF {##1} { l__deriv_#1_switch_star_bool }
+ { \__deriv_pdv_star:Nnnnnnnn #4 {#1} {##2} {##3} {##4} {##6} {##7} {##8} }
+ { \__deriv_pdv_none:Nnnnnnnn #4 {#1} {##2} {##3} {##4} {##6} {##7} {##8} }
+ }
+ \group_end:
+ }
+}
+% dv
+\cs_new_protected:Npn \__deriv_d_variables:n #1
+{
+ \__deriv_new:nnnn {#1} { scale } { tl } { eval, eval_slash, fun, var, frac, frac_slash }
+ \__deriv_new:nnnn {#1} { delims } { tl } { eval, eval_slash, fun, var, frac, frac_slash }
+ \__deriv_new:nnnn {#1} { sep } { muskip } { inf_ord, inf_fun, ord_fun, var_ord, inf_var, eval_sb, eval_sp }
+ \__deriv_new:nnnn {#1} { switch } { bool } { star, slash }
+ \__deriv_new:nnnn {#1} { mics } { bool } { fun, var, frac }
+}
+% dv
+\cs_new_protected:Npn \__deriv_p_variables:n #1
+{
+ \__deriv_new:nnnn {#1} { scale } { tl } { eval, eval_slash, fun, var, frac, frac_slash }
+ \__deriv_new:nnnn {#1} { delims } { tl } { eval, eval_slash, fun, var, frac, frac_slash }
+ \__deriv_new:nnnn {#1} { sep } { muskip } { inf_ord, inf_fun, ord_fun, inf_var, var_ord, var_inf, ord_inf, eval_sb, eval_sp }
+ \__deriv_new:nnnn {#1} { switch } { bool } { star, slash }
+ \__deriv_new:nnnn {#1} { sort } { clist } { method }
+ \__deriv_new:nnnn {#1} { sort } { tl } { numerical }
+ \__deriv_new:nnnn {#1} { sort } { bool } { sign_reverse, symbol_reverse, abs_reverse }
+ \__deriv_new:nnnn {#1} { mics } { bool } { fun, var, frac }
+}
+% dv , sub-category , data-type , cs-var-list
+\cs_new:Npn \__deriv_new:nnnn #1 #2 #3 #4
+{
+ \seq_set_from_clist:Nn \l__deriv_var_seq {#4}
+ \seq_map_inline:Nn \l__deriv_var_seq
+ { \cs:w #3_new:c \cs_end: { l__deriv_#1_#2_##1_#3 } }
+}
+
+%%%%% Ordinary derivative definition %%%%%
+
+% inf , dv , order , function , variable , sb-point , sp-point
+\cs_new_protected:Npn \__deriv_odv_both:Nnnnnnn #1 #2 #3 #4 #5 #6 #7
+{
+ \__deriv_set_order:Nn \l__deriv_d_order_tl {#3}
+ \__deriv_evaluation_slash:nnnn {#2} {#6} {#7}
+ {
+ \__deriv_fraction_slash:nn {#2}
+ {
+ \use:c { __deriv_#2_style_frac_slash:n }
+ { \__deriv_d_numerator_nofun:Nn #1 {#2} }
+ { \__deriv_d_denominator:Nnn #1 {#2} {#5} }
+ }
+
+ \__deriv_function:nn {#2} {#4}
+ }
+}
+% inf , dv , order , function , variable , sb-point , sp-point
+\cs_new_protected:Npn \__deriv_odv_star:Nnnnnnn #1 #2 #3 #4 #5 #6 #7
+{
+ \__deriv_set_order:Nn \l__deriv_d_order_tl {#3}
+ \__deriv_evaluation:nnnn {#2} {#6} {#7}
+ {
+ \__deriv_fraction:nn {#2}
+ {
+ \use:c { __deriv_#2_style_frac:n }
+ { \__deriv_d_numerator_nofun:Nn #1 {#2} }
+ { \__deriv_d_denominator:Nnn #1 {#2} {#5} }
+ }
+ \__deriv_function:nn {#2} {#4}
+ }
+}
+% inf , dv , order , function , variable , sb-point , sp-point
+\cs_new_protected:Npn \__deriv_odv_slash:Nnnnnnn #1 #2 #3 #4 #5 #6 #7
+{
+ \__deriv_set_order:Nn \l__deriv_d_order_tl {#3}
+ \__deriv_evaluation_slash:nnnn {#2} {#6} {#7}
+ {
+ \__deriv_fraction_slash:nn {#2}
+ {
+ \use:c { __deriv_#2_style_frac_slash:n }
+ { \__deriv_d_numerator_fun:Nnn #1 {#2} {#4} }
+ { \__deriv_d_denominator:Nnn #1 {#2} {#5} }
+ }
+ }
+}
+% inf , dv , order , function , variable , sb-point , sp-point
+\cs_new_protected:Npn \__deriv_odv_none:Nnnnnnn #1 #2 #3 #4 #5 #6 #7
+{
+ \__deriv_set_order:Nn \l__deriv_d_order_tl {#3}
+ \__deriv_evaluation:nnnn {#2} {#6} {#7}
+ {
+ \__deriv_fraction:nn {#2}
+ {
+ \use:c { __deriv_#2_style_frac:n }
+ { \__deriv_d_numerator_fun:Nnn #1 {#2} {#4} }
+ { \__deriv_d_denominator:Nnn #1 {#2} {#5} }
+ }
+ }
+}
+% inf , dv , function
+\cs_new_protected:Npn \__deriv_d_numerator_fun:Nnn #1 #2 #3
+{
+ \__deriv_insert_inf:Nn #1 {#2}
+ \__deriv_insert_ord:Nnn \l__deriv_d_order_tl {#2} { inf_ord }
+ \__deriv_insert_fun:Nnn \l__deriv_d_order_tl {#2} {#3}
+}
+% inf , dv
+\cs_new_protected:Npn \__deriv_d_numerator_nofun:Nn #1 #2
+{
+ \__deriv_insert_inf:Nn #1 {#2}
+ \__deriv_insert_ord:Nnn \l__deriv_d_order_tl {#2} { inf_ord }
+}
+% inf , dv , variable
+\cs_new_protected:Npn \__deriv_d_denominator:Nnn #1 #2 #3
+{
+ \__deriv_insert_inf:Nn #1 {#2}
+ \__deriv_insert_var_ord:Nnn \l__deriv_d_order_tl {#2} {#3}
+}
+
+%%%%% Partial derivative definition %%%%%
+% inf , dv , order , mixed order , function , variable , sb-point , sp-point
+\cs_new_protected:Npn \__deriv_pdv_both:Nnnnnnnn #1 #2 #3 #4 #5 #6 #7 #8
+{
+ \__deriv_preparation:NNNnnnn \l__deriv_p_mo_tl \l__deriv_p_denom_tl #1 {#2} {#3} {#4} {#6}
+ \__deriv_evaluation_slash:nnnn {#2} {#7} {#8}
+ {
+ \__deriv_fraction_slash:nn {#2}
+ {
+ \use:c { __deriv_#2_style_frac_slash:n }
+ { \__deriv_p_numerator_nofun:Nn #1 {#2} }
+ { \__deriv_p_denominator:n {#2} }
+ }
+ \__deriv_function:nn {#2} {#5}
+ }
+}
+% inf , dv , order , mixed order , function , variable , sb-point , sp-point
+\cs_new_protected:Npn \__deriv_pdv_star:Nnnnnnnn #1 #2 #3 #4 #5 #6 #7 #8
+{
+ \__deriv_preparation:NNNnnnn \l__deriv_p_mo_tl \l__deriv_p_denom_tl #1 {#2} {#3} {#4} {#6}
+ \__deriv_evaluation:nnnn {#2} {#7} {#8}
+ {
+ \__deriv_fraction:nn {#2}
+ {
+ \use:c { __deriv_#2_style_frac:n }
+ { \__deriv_p_numerator_nofun:Nn #1 {#2} }
+ { \__deriv_p_denominator:n {#2} }
+ }
+ \__deriv_function:nn {#2} {#5}
+ }
+}
+% inf , dv , order , mixed order , function , variable , sb-point , sp-point
+\cs_new_protected:Npn \__deriv_pdv_slash:Nnnnnnnn #1 #2 #3 #4 #5 #6 #7 #8
+{
+ \__deriv_preparation:NNNnnnn \l__deriv_p_mo_tl \l__deriv_p_denom_tl #1 {#2} {#3} {#4} {#6}
+ \__deriv_evaluation_slash:nnnn {#2} {#7} {#8}
+ {
+ \__deriv_fraction_slash:nn {#2}
+ {
+ \use:c { __deriv_#2_style_frac_slash:n }
+ { \__deriv_p_numerator_fun:Nnn #1 {#2} {#5} }
+ { \__deriv_p_denominator:n {#2} }
+ }
+ }
+}
+% inf , dv , order , mixed order , function , variable , sb-point , sp-point
+\cs_new_protected:Npn \__deriv_pdv_none:Nnnnnnnn #1 #2 #3 #4 #5 #6 #7 #8
+{
+ \__deriv_preparation:NNNnnnn \l__deriv_p_mo_tl \l__deriv_p_denom_tl #1 {#2} {#3} {#4} {#6}
+ \__deriv_evaluation:nnnn {#2} {#7} {#8}
+ {
+ \__deriv_fraction:nn {#2}
+ {
+ \use:c { __deriv_#2_style_frac:n }
+ { \__deriv_p_numerator_fun:Nnn #1 {#2} {#5} }
+ { \__deriv_p_denominator:n {#2} }
+ }
+ }
+}% inf , dv , function
+\cs_new_protected:Npn \__deriv_p_numerator_fun:Nnn #1 #2 #3
+{
+ \__deriv_insert_inf:Nn #1 {#2}
+ \__deriv_insert_ord:Nnn \l__deriv_p_mo_tl {#2} { inf_ord }
+ \__deriv_insert_fun:Nnn \l__deriv_p_mo_tl {#2} {#3}
+}
+% inf , dv
+\cs_new_protected:Npn \__deriv_p_numerator_nofun:Nn #1 #2
+{
+ \__deriv_insert_inf:Nn #1 {#2}
+ \__deriv_insert_ord:Nnn \l__deriv_p_mo_tl {#2} { inf_ord }
+}
+% dv
+\cs_new_protected:Npn \__deriv_p_denominator:n #1
+{
+ \tl_use:N \l__deriv_p_denom_tl %{ \__deriv_insert_mskip:nn {#1} { var_inf } }
+}
+% mixed-order-tl , denom-seq , inf , dv , order , mixed order , variable
+\cs_new_protected:Npn \__deriv_preparation:NNNnnnn #1 #2 #3 #4 #5 #6 #7
+{
+ \seq_clear:N #2
+ \seq_set_from_clist:Nn \l__deriv_p_var_seq {#7}
+ \tl_if_novalue:nTF {#5} { \seq_clear:N \l__deriv_p_order_seq } { \seq_set_from_clist:Nn \l__deriv_p_order_seq {#5} }
+
+ \tl_if_novalue:nTF {#6}
+ {
+ \seq_set_eq:NN \l__deriv_p_mo_seq \l__deriv_p_order_seq
+ \__deriv_adjust_mo_seq:NNN \l__deriv_p_mo_seq \l__deriv_p_var_seq \l__deriv_p_order_seq
+ \__deriv_mixed_order:NNn #1 \l__deriv_p_mo_seq {#4}
+ }
+ { \tl_set:Nn #1 {#6} }
+
+ \__deriv_p_build_denom:NNNNn \l__deriv_p_var_seq \l__deriv_p_order_seq #2 #3 {#4}
+}
+
+\cs_new_protected:Npn \__deriv_adjust_mo_seq:NNN #1 #2 #3
+{
+ \int_set:Nn \l__deriv_vmo_int { \seq_count:N #2 - \seq_count:N #3 }
+ \__deriv_case:nF
+ {
+ { \int_compare_p:nNn { \l__deriv_vmo_int } > { 0 } } { \seq_put_left:NV #1 \l__deriv_vmo_int }
+ { \int_compare_p:nNn { \l__deriv_vmo_int } = { 0 } } { \prg_do_nothing: }
+ }
+ {
+ \int_step_inline:nn { -1 * \l__deriv_vmo_int }
+ { \seq_pop_right:NN #1 \l__deriv_p_tmpa_tl }
+ }
+}
+% \l__deriv_p_var_seq \l__deriv_p_order_seq, denom-tl , inf , dv
+\cs_new_protected:Npn \__deriv_p_build_denom:NNNNn #1 #2 #3 #4 #5
+{
+ \int_zero:N \l__deriv_tmpa_int
+ \seq_map_inline:Nn #1
+ {
+ \int_incr:N \l__deriv_tmpa_int
+ \seq_pop_left:NN #2 \l__deriv_p_tmpa_tl
+ \tl_if_blank:nF {##1}
+ {
+ \tl_put_right:Nx #3
+ {
+ \__deriv_insert_inf:Nn #4 {#5}
+ \int_compare:nNnTF { \l__deriv_tmpa_int } = { \seq_count:N #1 }
+ { \__deriv_insert_var_ord:Nnn \l__deriv_p_tmpa_tl {#5} {##1} }
+ { \__deriv_insert_var_ord_sep:Nnn \l__deriv_p_tmpa_tl {#5} {##1} }
+ }
+ }
+ }
+}
+%%%%% And the rest of the code %%%%%
+% inf , dv
+\cs_new:Npn \__deriv_insert_inf:Nn #1 #2
+{
+ \exp_not:n
+ {
+ \use:c { __deriv_#2_style_inf:n }
+ { \tl_use:N #1 }
+ }
+}
+% dv , function
+\cs_new:Npn \__deriv_insert_fun:Nnn #1 #2 #3
+{
+ \tl_if_blank:nF {#3}
+ {
+ \str_if_eq:NNTF #1 1
+ { \__deriv_insert_mskip:nn {#2} { inf_fun } }
+ { \__deriv_insert_mskip:nn {#2} { ord_fun } }
+ \__deriv_function:nn {#2} {#3}
+ }
+}
+% order, dv , variable
+\cs_new:Npn \__deriv_insert_var_ord:Nnn #1 #2 #3
+{
+ \tl_if_blank:nF {#3}
+ {
+ \__deriv_insert_mskip:nn {#2} { inf_var }
+ \exp_not:n { \__deriv_variable:nn {#2} {#3} }
+ \__deriv_insert_ord:Nnn #1 {#2} { var_ord }
+ }
+}
+\cs_new:Npn \__deriv_insert_var_ord_sep:Nnn #1 #2 #3
+{
+ \tl_if_blank:nF {#3}
+ {
+ \__deriv_insert_mskip:nn {#2} { inf_var }
+ \exp_not:n { \__deriv_variable:nn {#2} {#3} }
+ \__deriv_insert_ord:Nn #1 {#2}
+ }
+}
+% dv , name
+\cs_new:Npn \__deriv_insert_mskip:nn #1 #2
+{
+ \str_if_eq:vnF { l__deriv_#1_sep_#2_muskip } { 0.0mu }
+ { \exp_args:Nc \mskip { l__deriv_#1_sep_#2_muskip } }
+}
+% order , dv , name
+\cs_new:Npn \__deriv_insert_ord:Nnn #1 #2 #3
+{
+ \__show_order:NT #1
+ {
+ \sp
+ {
+ \__deriv_insert_mskip:nn {#2} {#3}
+ \tl_use:N #1
+ }
+ }
+}
+% order , dv , name
+\cs_new:Npn \__deriv_insert_ord:Nn #1 #2
+{
+ \__show_order:NTF #1
+ {
+ \sp
+ {
+ \__deriv_insert_mskip:nn {#2} { var_ord }
+ \tl_use:N #1
+ }
+ \__deriv_insert_mskip:nn {#2} { ord_inf }
+ }
+ { \__deriv_insert_mskip:nn {#2} { var_inf } }
+}
+% order , order-list
+\cs_new:Npn \__deriv_set_order:Nn #1 #2
+{
+ \tl_if_novalue:nTF {#2}
+ { \tl_set:Nn #1 { 1 } }
+ { \tl_set:Nn #1 {#2} }
+}
+% muskip , length
+\cs_new:Npn \__deriv_set_rubber_length:Nn #1 #2
+{
+ \seq_set_split:Nnn \l__deriv_rubber_seq { , } { #2 }
+ \exp_args:NNf
+ \muskip_set:Nn #1 { \seq_use:Nnnn \l__deriv_rubber_seq { mu plus } { mu plus } { mu minus } mu }
+}
+
+%%%%% Scale, delimiters, evaluation %%%%%
+% dv , function
+\cs_new:Npn \__deriv_function:nn #1 #2
+{
+ \bool_set_false:c { l__deriv_#1_mics_var_bool }
+ \bool_if:cTF { l__deriv_#1_mics_fun_bool }
+ {
+ \bool_set_false:c { l__deriv_#1_mics_fun_bool }
+ \__deriv_add_delims:nnn {#1} { fun } {#2}
+ }
+ { #2 }
+}
+% dv , variable
+\cs_new:Npn \__deriv_variable:nn #1 #2
+{
+ \bool_if:cTF { l__deriv_#1_mics_var_bool }
+ {
+ \bool_set_false:c { l__deriv_#1_mics_var_bool }
+ \__deriv_add_delims:nnn {#1} { var } {#2}
+ }
+ { #2 }
+}
+% dv , code-for-fraction
+\cs_new:Npn \__deriv_fraction:nn #1 #2
+{
+ \bool_if:cTF { l__deriv_#1_mics_frac_bool }
+ {
+ \bool_set_false:c { l__deriv_#1_mics_frac_bool }
+ \__deriv_add_delims:nnn {#1} { frac } {#2}
+ }
+ { #2 }
+}
+% dv , code-for-fraction
+\cs_new:Npn \__deriv_fraction_slash:nn #1 #2
+{
+ \bool_if:cTF { l__deriv_#1_mics_frac_bool }
+ {
+ \bool_set_false:c { l__deriv_#1_mics_frac_bool }
+ \__deriv_add_delims:nnn {#1} { frac_slash } {#2}
+ }
+ { #2 }
+}
+% dv , sub , sup , code-for-fraction
+\cs_new:Npn \__deriv_evaluation:nnnn #1 #2 #3 #4
+{
+ \__if_novalue_blank_or:nnTF {#2} {#3}
+ { #4 }
+ {
+ \__deriv_add_delims:nnn {#1} { eval } {#4}
+ \__if_novalue_blank:nF {#2} { \sb{ \__deriv_insert_mskip:nn {#1} { eval_sb } #2 } }
+ \__if_novalue_blank:nF {#3} { \sp{ \__deriv_insert_mskip:nn {#1} { eval_sp } #3 } }
+ }
+}
+% dv , sub , sup , code-for-fraction
+\cs_new:Npn \__deriv_evaluation_slash:nnnn #1 #2 #3 #4
+{
+ \__if_novalue_blank_or:nnTF {#2} {#3}
+ { #4 }
+ {
+ \__deriv_add_delims:nnn {#1} { eval_slash } {#4}
+ \__if_novalue_blank:nF {#2} { \sb{ \__deriv_insert_mskip:nn {#1} { eval_sb } #2 } }
+ \__if_novalue_blank:nF {#3} { \sp{ \__deriv_insert_mskip:nn {#1} { eval_sp } #3 } }
+ }
+}
+% dv , name , value
+\cs_new:Npn \__deriv_add_delims:nnn #1 #2 #3
+{
+ \__deriv_scale_left:nn {#1} {#2}
+ {#3}
+ \__deriv_scale_right:nn {#1} {#2}
+}
+% dv , name
+\cs_new:Npn \__deriv_scale_left:nn #1 #2
+{
+ \exp_args:Nv \str_case:nnF { l__deriv_#1_scale_#2_tl }
+ {
+ { auto } { \__deriv_scale_auto:Nnnn \__deriv_auto_left:n {#1} {#2} { 1 } }
+ { none } { \__deriv_scale_none:nnn {#1} {#2} { 1 } }
+ }
+ { \__deriv_scale_big:nnnm {#1} {#2} { 1 } { l } }
+}
+% dv , name
+\cs_new:Npn \__deriv_scale_right:nn #1 #2
+{
+ \exp_args:Nv \str_case:nnF { l__deriv_#1_scale_#2_tl }
+ {
+ { auto } { \__deriv_scale_auto:Nnnn \__deriv_auto_right:n {#1} {#2} { 2 } }
+ { none } { \__deriv_scale_none:nnn {#1} {#2} { 2 } }
+ }
+ { \__deriv_scale_big:nnnm {#1} {#2} { 2 } { r } }
+}
+% left/right , dv , name, number
+\cs_new:Npn \__deriv_scale_auto:Nnnn #1 #2 #3 #4
+{
+ #1 \tl_item:cn { l__deriv_#2_delims_#3_tl } { #4 }
+}
+% dv , name , number
+\cs_new:Npn \__deriv_scale_none:nnn #1 #2 #3
+{
+ \str_if_eq:cNF { l__deriv_#1_delims_#2_tl } . { \tl_item:cn { l__deriv_#1_delims_#2_tl } { #3 } }
+}
+% dv , name , number , l/r
+\cs_new:Npn \__deriv_scale_big:nnnn #1 #2 #3 #4
+{
+ \tl_use:c { \tl_use:c { l__deriv_#1_scale_#2_tl } #4 } { \tl_item:cn { l__deriv_#1_delims_#2_tl } { #3 } }
+}
+
+%%%%% Calculation of mixed order %%%%%
+% mixed-order-tl , mixed-order-seq , dv
+\cs_new:Npn \__deriv_mixed_order:NNn #1 #2 #3
+{
+ \__deriv_replace:NN \l__deriv_input_seq #2
+ \__deriv_seq_counting:N \l__deriv_input_seq
+ \__deriv_combine_seq:N \l__deriv_unsorted_seq
+ \__deriv_sort:NNn \l__deriv_sorted_seq \l__deriv_unsorted_seq {#3}
+ \__deriv_output:NNNn #1 \l__deriv_sorted_seq \l__deriv_numerical_int {#3}
+}
+% input-seq , mixed-order-seq
+\cs_new_protected:Npn \__deriv_replace:NN #1 #2
+{
+ \tl_set:Nf \l__deriv_input_tl { \seq_use:Nn #2 { , } }
+ \tl_remove_all:Nn \l__deriv_input_tl { ~ }
+ \tl_replace_all:Nnn \l__deriv_input_tl { -- } { , }
+ \tl_replace_all:Nnn \l__deriv_input_tl { - } { ,- }
+ \tl_replace_all:Nnn \l__deriv_input_tl { + } { , }
+
+ \exp_args:NNV \seq_set_from_clist:Nn #1 \l__deriv_input_tl
+}
+% input-seq
+\cs_new_protected:Npn \__deriv_seq_counting:N #1
+{
+ \seq_clear:N \l__deriv_symbol_seq
+ \seq_clear:N \l__deriv_number_seq
+
+ \seq_map_inline:Nn #1
+ {
+ \__deriv_extract:NNn \l__deriv_sym_tmpa_tl \l__deriv_num_tmpa_tl {##1}
+
+ \seq_if_in:NVTF \l__deriv_symbol_seq \l__deriv_sym_tmpa_tl
+ { \__deriv_update_seq:NN \l__deriv_sym_tmpa_tl \l__deriv_num_tmpa_tl }
+ { \__deriv_add_to_seq:NN \l__deriv_sym_tmpa_tl \l__deriv_num_tmpa_tl }
+ }
+}
+% sym-tl , num-tl , seq-item
+\cs_new_protected:Npn \__deriv_extract:NNn #1 #2 #3
+{
+ \regex_extract_once:NnN \c__deriv_pattern_regex {#3} \l__deriv_extract_seq
+ \seq_pop_right:NN \l__deriv_extract_seq #1
+ \seq_pop_right:NN \l__deriv_extract_seq #2
+
+ \exp_args:NV \str_case:nn #2
+ {
+ { } { \tl_set:Nn #2 { 1 } }
+ { - } { \tl_set:Nn #2 { -1 } }
+ }
+}
+% unsorted-seq
+\cs_new:Npn \__deriv_combine_seq:N #1
+{
+ \seq_clear:N #1
+ \seq_map_inline:Nn \l__deriv_symbol_seq
+ {
+ \seq_pop_left:NN \l__deriv_number_seq \l__deriv_num_tmpa_tl
+ \__deriv_eval_term:NNn #1 \l__deriv_num_tmpa_tl {##1}
+ }
+}
+% unsorted-seq , num-tl, seq-item
+\cs_new_protected:Npn \__deriv_eval_term:NNn #1 #2 #3
+{
+ \__deriv_case:nF
+ {
+ { \tl_if_empty_p:n {#3} } { \int_set:Nn \l__deriv_numerical_int {#2} }
+ { \int_compare_p:nNn {#2} = { 1 } } { \seq_put_left:Nn #1 {#3} }
+ { \int_compare_p:nNn {#2} = { 0 } } { \prg_do_nothing: }
+ { \int_compare_p:nNn {#2} = { -1 } } { \seq_put_left:Nn #1 { -#3 } }
+ }
+ { \seq_put_left:No #1 { #2 #3 } }
+}
+% sym-tl , num-tl
+\cs_new_protected:Npn \__deriv_add_to_seq:NN #1 #2
+{
+ \seq_put_left:NV \l__deriv_symbol_seq #1
+ \seq_put_left:NV \l__deriv_number_seq #2
+}
+% sym-tl , num-tl
+\cs_new_protected:Npn \__deriv_update_seq:NN #1 #2
+{
+ \__deriv_get_position:NN \l__deriv_position_int #1
+ \__deriv_rebuild_seq:NNN \l__deriv_number_seq \l__deriv_position_int #2
+}
+% position-int , sym-tl
+\cs_new:Npn \__deriv_get_position:NN #1 #2
+{
+ \int_zero:N #1
+ \seq_map_inline:Nn \l__deriv_symbol_seq
+ {
+ \int_incr:N #1
+ \exp_args:NV \tl_if_eq:nnT #2 {##1} { \seq_map_break: }
+ }
+}
+% num-seq , position-int , num-tl
+\cs_new_protected:Npn \__deriv_rebuild_seq:NNN #1 #2 #3
+{
+ \int_zero:N \l__deriv_rebuild_int
+ \seq_clear:N \l__deriv_rebuild_seq
+
+ \seq_map_inline:Nn #1
+ {
+ \int_incr:N \l__deriv_rebuild_int
+ \int_compare:nNnTF \l__deriv_rebuild_int = #2
+ {
+ \tl_set:Nf \l__deriv_num_tmpb_tl { \int_eval:n { ##1 + #3 } }
+ \seq_put_right:NV \l__deriv_rebuild_seq \l__deriv_num_tmpb_tl
+ }
+ { \seq_put_right:Nn \l__deriv_rebuild_seq {##1} }
+ }
+ \seq_set_eq:NN #1 \l__deriv_rebuild_seq
+}
+% sorted-seq , unsorted-seq , dv
+\cs_new_protected:Npn \__deriv_sort:NNn #1 #2 #3
+{
+ \int_set:Nn \l__deriv_sort_max_int { \clist_count:c { l__deriv_#3_sort_method_clist } }
+
+ \seq_sort:Nn #2
+ {
+ \__deriv_extract:NNn \l__deriv_sym_tmpa_tl \l__deriv_num_tmpa_tl {##1}
+ \__deriv_extract:NNn \l__deriv_sym_tmpb_tl \l__deriv_num_tmpb_tl {##2}
+ \int_zero:N \l__deriv_sort_counter_int
+ \__deriv_sort_method:n {#3}
+ }
+ \seq_set_eq:NN #1 #2
+}
+% dv
+\cs_new_protected:Npn \__deriv_sort_method:n #1
+{
+ \int_incr:N \l__deriv_sort_counter_int
+
+ \exp_args:Nf
+ \str_case:nn { \clist_item:cn { l__deriv_#1_sort_method_clist } { \l__deriv_sort_counter_int } }
+ {
+ { sign } { \__deriv_sort_sign:n {#1} }
+ { symbol } { \__deriv_sort_symbol:n {#1} }
+ { abs } { \__deriv_sort_abs:n {#1} }
+ }
+}
+% dv
+\cs_new_protected:Npn \__deriv_sort_sign:n #1
+{
+ \__deriv_case:nF
+ {
+ { \tl_if_head_eq_charcode_p:VN \l__deriv_num_tmpb_tl - && ! \tl_if_head_eq_charcode_p:VN \l__deriv_num_tmpa_tl - } { \__deriv_sort_reverse:nnn {#1} { sign } { same } }
+ { \tl_if_head_eq_charcode_p:VN \l__deriv_num_tmpa_tl - && ! \tl_if_head_eq_charcode_p:VN \l__deriv_num_tmpb_tl - } { \__deriv_sort_reverse:nnn {#1} { sign } { swapped } }
+ }
+ {
+ \int_compare:nNnTF { \l__deriv_sort_counter_int } = { \l__deriv_sort_max_int }
+ { \sort_return_same: }
+ { \__deriv_sort_method:n {#1} }
+ }
+}
+% dv
+\cs_new_protected:Npn \__deriv_sort_symbol:n #1
+{
+ \__deriv_case:nF
+ {
+ { \int_compare_p:nNn { \tl_count:N \l__deriv_sym_tmpa_tl } > { \tl_count:N \l__deriv_sym_tmpb_tl } } { \__deriv_sort_reverse:nnn {#1} { symbol } { same } }
+ { \int_compare_p:nNn { \tl_count:N \l__deriv_sym_tmpa_tl } < { \tl_count:N \l__deriv_sym_tmpb_tl } } { \__deriv_sort_reverse:nnn {#1} { symbol } { swapped } }
+ }
+ {
+ \int_compare:nNnTF { \l__deriv_sort_counter_int } = { \l__deriv_sort_max_int }
+ { \sort_return_same: }
+ { \__deriv_sort_method:n {#1} }
+ }
+}
+% dv
+\cs_new_protected:Npn \__deriv_sort_abs:n #1
+{
+ \__deriv_case:nF
+ {
+ { \int_compare_p:nNn { \int_abs:n \l__deriv_num_tmpa_tl } > { \int_abs:n \l__deriv_num_tmpb_tl } } { \__deriv_sort_reverse:nnn {#1} { abs } { same } }
+ { \int_compare_p:nNn { \int_abs:n \l__deriv_num_tmpa_tl } < { \int_abs:n \l__deriv_num_tmpb_tl } } { \__deriv_sort_reverse:nnn {#1} { abs } { swapped } }
+ }
+ {
+ \int_compare:nNnTF { \l__deriv_sort_counter_int } = { \l__deriv_sort_max_int }
+ { \sort_return_same: }
+ { \__deriv_sort_method:n {#1} }
+ }
+}
+% dv , sort-method , same/swapped
+\cs_new_protected:Npn \__deriv_sort_reverse:nnn #1 #2 #3
+{
+ \exp_args:Nc
+ \bool_xor:nnTF { l__deriv_#1_sort_#2_reverse_bool } { \str_if_eq_p:nn {#3} { same } }
+ { \sort_return_same: }
+ { \sort_return_swapped: }
+}
+% mixed-order-tl , sorted-seq , numerical-term, dv
+\cs_new_protected:Npn \__deriv_output:NNNn #1 #2 #3 #4
+{
+ \tl_set:Nf #1 { \seq_use:Nn #2 { + } }
+
+ \int_compare:nNnF {#3} = { 0 }
+ {
+ \tl_if_empty:NTF #1
+ { \tl_put_left:NV #1 #3 }
+ {
+ \exp_args:Nv \str_case:nnF { l__deriv_#4_sort_numerical_tl }
+ {
+ { last } { \tl_put_right:Nx #1 { + \int_use:N #3 } }
+ { first } { \tl_put_left:Nx #1 { \int_use:N #3 + } }
+ }
+ {
+ \bool_if:nTF { \tl_if_head_eq_charcode_p:VN #1 - }
+ { \tl_put_left:NV #1 #3 }
+ { \tl_put_right:Nx #1 { + \int_use:N #3 } }
+ }
+ }
+ }
+ \tl_replace_all:Nnn #1 { +- } { - }
+ \tl_if_empty:NT #1 { \tl_set:Nn #1 { 0 } }
+}
+
+%%%%% Generate variants %%%%%
+
+\cs_generate_variant:Nn \tl_if_head_eq_charcode_p:nN { V }
+\cs_generate_variant:Nn \__deriv_set_rubber_length:Nn { c }
+\cs_generate_variant:Nn \__deriv_p_variables:n { V }
+\cs_generate_variant:Nn \__deriv_d_variables:n { V }
+\cs_generate_variant:Nn \deriv_p_define:nnnn { V }
+\cs_generate_variant:Nn \deriv_d_define:nnnn { V }
+\cs_generate_variant:Nn \__deriv_derivset:nn { V, VV }
+\cs_generate_variant:Nn \__deriv_p_define_keys:n { V }
+\cs_generate_variant:Nn \__deriv_d_define_keys:n { V }
+
+%%%%% Messages %%%%%
+
+\msg_new:nnnn { deriv } { command-already-defined }
+{ Command~'#1'~already~defined! }
+{
+ You~have~used~#2~with~a~command~that~already~has~a~definition. \\
+ The~existing~definition~of~'#1'~will~not~be~altered.
+}
+
+\msg_new:nnnn { deriv } { derivative-not-defined }
+{ Derivative~'#1'~is~not~defined! }
+{
+ You~have~used~#2~with~a~derivative~that~was~never~defined.
+}
+\msg_new:nnnn { deriv } { command-not-defined }
+{ Command~'#1'~not~yet~defined! }
+{
+ You~have~used~#2~with~a~derivative~that~was~never~defined.
+}
+
+%%%%% Declaring derivatives %%%%%
+
+\bool_lazy_or:nnT { \sys_if_engine_luatex_p: } { \sys_if_engine_xetex_p: }
+{
+ \DeclareOdvVariant{\odv}{d}[style-inf = \symup]
+ \DeclareOdvVariant{\mdv}{D}[style-inf = \symup]
+ \DeclareOdvVariant{\fdv}{\delta}
+ \DeclareOdvVariant{\adv}{\Delta}
+ \DeclareOdvVariant{\jdv}{\partial}[misc-add-delims = {fun, var}]
+ \DeclarePdvVariant{\pdv}{\partial}[sep-inf-ord=1, sep-ord-fun=-2]
+
+}
+\sys_if_engine_pdftex:T
+{
+ \DeclareOdvVariant{\odv}{d}[style-inf = \mathrm]
+ \DeclareOdvVariant{\mdv}{D}[style-inf = \mathrm]
+ \DeclareOdvVariant{\fdv}{\delta}
+ \DeclareOdvVariant{\adv}{\Delta}[style-inf = \mathrm]
+ \DeclareOdvVariant{\jdv}{\partial}[misc-add-delims = {fun, var}]
+ \DeclarePdvVariant{\pdv}{\partial}[sep-inf-ord=1, sep-ord-fun=-2]
+}
+%\derivset{all}
+
+\endinput