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authorKarl Berry <karl@freefriends.org>2021-02-15 22:22:05 +0000
committerKarl Berry <karl@freefriends.org>2021-02-15 22:22:05 +0000
commit781edbbb62beb1418286c27266b5fa51f8718d88 (patch)
treed124cf1d9f555ddb87650f3bf70b4e71b946e20a /Master/texmf-dist/tex/latex/numerica
parente46b42c1fa31404b2a43ce352b257c1e3b00aa5f (diff)
numerica (15feb21)
git-svn-id: svn://tug.org/texlive/trunk@57759 c570f23f-e606-0410-a88d-b1316a301751
Diffstat (limited to 'Master/texmf-dist/tex/latex/numerica')
-rw-r--r--Master/texmf-dist/tex/latex/numerica/numerica-lyx.def44
-rw-r--r--Master/texmf-dist/tex/latex/numerica/numerica-plus.def876
-rw-r--r--Master/texmf-dist/tex/latex/numerica/numerica-tables.def1138
-rw-r--r--Master/texmf-dist/tex/latex/numerica/numerica.sty2692
4 files changed, 4750 insertions, 0 deletions
diff --git a/Master/texmf-dist/tex/latex/numerica/numerica-lyx.def b/Master/texmf-dist/tex/latex/numerica/numerica-lyx.def
new file mode 100644
index 00000000000..96b0f7b1933
--- /dev/null
+++ b/Master/texmf-dist/tex/latex/numerica/numerica-lyx.def
@@ -0,0 +1,44 @@
+% This is file `numerica-lyx.def',
+% part of the `numerica' package
+%
+% This work may be distributed and/or modified under the conditions
+% of the LaTeX Project Public License, either version 1.3c of this
+% license or any later version; see
+% http://www.latex-project.org/lppl.txt
+%
+% Andrew Parsloe (ajparsloe@gmail.com)
+%
+\ProvidesExplFile
+ {numerica-lyx.def}
+ {2021/02/15}
+ {1.0.0}
+ { Enable reuse command to preview in LyX }
+%----------------------------------------------------------
+% copy (only once) .nmc file from doc to temp
+% directory; use nmcDummy.txt to mark success
+\tl_set:NV \l_tmpb_tl \jobname
+\tl_put_right:Nn \l_tmpb_tl {.nmc}
+\file_if_exist:nTF { nmcDummy.txt }
+ { \tl_gset_eq:NN \g__nmc_reuse_filename_tl \l_tmpb_tl }
+ {
+ \iow_open:Nn \g__nmc_iow { nmcDummy.txt }
+ \iow_close:N \g__nmc_iow
+ \makeatletter
+ \tl_set:Nx \l_tmpa_tl \input@path
+ \makeatother
+ \exp_last_unbraced:NNV
+ \tl_gset:Nn \g__nmc_reuse_filename_tl \l_tmpa_tl
+ \tl_gput_right:NV \g__nmc_reuse_filename_tl \l_tmpb_tl
+ \file_get:VnNTF \g__nmc_reuse_filename_tl {} \l__nmc_reuse_retrieved_tl
+ {
+ \tl_gset_eq:NN \g__nmc_reuse_filename_tl \l_tmpb_tl
+ \iow_open:NV \g__nmc_iow \g__nmc_reuse_filename_tl
+ \bool_lazy_or:nnF
+ { \tl_if_blank_p:V \l__nmc_reuse_retrieved_tl }
+ { \tl_if_head_eq_meaning_p:VN \l__nmc_reuse_retrieved_tl \par }
+ { \iow_now:NV \g__nmc_iow \l__nmc_reuse_retrieved_tl }
+ \iow_close:N \g__nmc_iow
+ }
+ { \tl_gset_eq:NN \g__nmc_reuse_filename_tl \l_tmpb_tl }
+ }
+% end of `numerica-lyx.def' \ No newline at end of file
diff --git a/Master/texmf-dist/tex/latex/numerica/numerica-plus.def b/Master/texmf-dist/tex/latex/numerica/numerica-plus.def
new file mode 100644
index 00000000000..6301dc96434
--- /dev/null
+++ b/Master/texmf-dist/tex/latex/numerica/numerica-plus.def
@@ -0,0 +1,876 @@
+% This is file `numerica-plus.def',
+% part of the `numerica' package.
+%
+% This work may be distributed and/or modified under the conditions
+% of the LaTeX Project Public License, either version 1.3c of this
+% license or any later version; see
+% http://www.latex-project.org/lppl.txt
+%
+% Andrew Parsloe (ajparsloe@gmail.com)
+%
+\ProvidesExplFile
+ {numerica-plus.def}
+ {2021/02/15}
+ {1.0.0}
+ { Iterate functions, find fixed points, zeros, extrema and recurrence terms }
+%----------------------------------------------------------
+\cs_new_protected:Npn \__nmc_plus_reuse:nNN #1#2#3
+ {
+ \int_case:nnF { #1 }
+ {
+ { 1 }
+ {
+ \seq_pop:NN #2 \l_tmpa_tl
+ \seq_pop:NN #3 \l_tmpb_tl
+ \tl_gset:Nx \g__nmc_reuse_tl { { \l_tmpa_tl , \l_tmpb_tl } }
+ \seq_mapthread_function:NNN #2 #3 \__nmc_plus_reuse_display:nn
+ }
+ { 2 }
+ {
+ \tl_gset:Nx \g__nmc_reuse_tl
+ { \seq_use:Nn #3 { , } }
+ }
+ }
+ { \tl_gset_eq:NN \g__nmc_reuse_tl \l_nmc_result_tl }
+ }
+\cs_new_protected:Npn \__nmc_plus_reuse_display:nn #1#2
+ { \tl_gput_right:Nx \g__nmc_reuse_tl { , { #1 , #2 } } }
+%--------------------------------------
+% \nmcIterate
+\int_new:N \l__nmc_iter_total_int
+\int_new:N \l__nmc_iter_view_int
+\int_new:N \l__nmc_iter_round_int
+\tl_new:N \l__nmc_iter_var_tl
+\fp_new:N \l__nmc_iter_first_fp
+\seq_new:N \l__nmc_iter_result_seq
+\seq_new:N \l__nmc_iter_index_seq
+
+\fp_new:N \l__nmc_iter_fixedpti_fp
+\fp_new:N \l__nmc_iter_fixedptii_fp
+
+\tl_new:N \l__nmc_iter_begin_tl
+\tl_new:N \l__nmc_iter_end_tl
+\tl_new:N \g__nmc_iter_info_tl
+
+\nmc_define:nnN { \nmcIterate } { iter } \iter
+
+\cs_new_protected:Npn \__nmc_iter_settings_digest:
+ {
+ \bool_set_false:N \l__nmc_allow_TF_out_bool
+ \int_set:Nn \l__nmc_iter_total_int
+ { \int_max:nn { \l__nmc_iter_total_int } { 1 } }
+ \int_set:Nn \l__nmc_iter_view_int
+ { \int_min:nn { \int_max:nn { \l__nmc_iter_view_int }
+ { 1 } } { \l__nmc_iter_total_int } }
+ }
+\cs_new_protected:Npn \__nmc_iter_vv_digest:N #1
+ {
+ \tl_if_empty:NTF \l__nmc_iter_var_tl
+ { \__nmc_vv_digest:N #1 }
+ {
+ \clist_push:NV \l__nmc_formula_tl \l__nmc_iter_var_tl
+ \__nmc_vv_digest:N #1
+ \clist_pop:NN \l__nmc_formula_tl \l__nmc_iter_var_tl
+ }
+ }
+\cs_new_protected:Npn \__nmc_iter_process:
+ {
+ \int_set:Nn \l__nmc_iter_round_int
+ { \l__nmc_round_int + \l__nmc_iter_extra_int }
+ % first iterate
+ \__nmc_error_where:n { formula }
+ \tl_clear:N \l__nmc_fp_expr_tl
+ \__nmc_fpify:VN \l__nmc_formula_tl \l__nmc_fp_expr_tl
+ \fp_set:Nn \l__nmc_result_fp { \l__nmc_fp_expr_tl }
+ \__nmc_error_fpflag:
+
+ \bool_if:NF \g__nmc_error_bool
+ {
+ \fp_set_eq:NN \l__nmc_iter_first_fp \l__nmc_result_fp
+ \tl_if_empty:NT \l__nmc_iter_var_tl
+ { % get iter. var if unspecified
+ \seq_get:NN \l__nmc_vv_all_seq \l_tmpa_tl
+ \__nmc_vv_split_item:V \l_tmpa_tl
+ \tl_set_eq:NN \l__nmc_iter_var_tl \l__nmc_eq_var_tl
+ }
+ \__nmc_iter_do:
+ \tl_set_eq:NN \l__nmc_fp_expr_tl \l__nmc_fp_exprn_tl
+ }
+ \bool_if:nF { \g__nmc_error_bool || \l__nmc_num_only_bool }
+ {
+ \__nmc_iter_environ:
+ \__nmc_iter_write:
+ }
+ }
+%--------------------------------------
+\cs_new_protected:Npn \__nmc_iter_do:
+ {
+ \bool_if:NTF \l__nmc_num_only_bool
+ {
+ \__nmc_iter_fixed_pt:
+ \bool_if:NF \g__nmc_error_bool
+ {
+ \__nmc_num_format:nNnN { \l__nmc_iter_fixedpti_fp }
+ \l_nmc_result_tl { \l__nmc_round_int }
+ \l__nmc_sci_num_out_bool
+ \int_decr:N \l__nmc_iter_total_int
+ \tl_gset:Nx \g__nmc_iter_info_tl
+ { \int_use:N \l__nmc_iter_total_int }
+ }
+ }
+ { % don't print initial iterations
+ \int_step_function:nnnN { 1 } { 1 }
+ { \l__nmc_iter_total_int - \l__nmc_iter_view_int - 1 }
+ \__nmc_iter_current:n
+ \bool_if:NF \g__nmc_error_bool
+ { % store then print these ones
+ \seq_clear:N \l__nmc_iter_result_seq
+ \int_step_function:nnnN { 1 } { 1 }
+ { \int_min:nn { \l__nmc_iter_view_int }
+ { \l__nmc_iter_total_int - 1 } } \__nmc_iter_current_store:n
+ }
+ }
+ }
+\cs_new_protected:Npn \__nmc_iter_current:n #1
+ { % stepping function
+ \bool_if:NF \g__nmc_error_bool
+ {
+ \__nmc_calc_fn_val:VNnN \l__nmc_iter_var_tl \l__nmc_formula_tl
+ { \l__nmc_result_fp } \l__nmc_result_fp
+ }
+ }
+\cs_new_protected:Npn \__nmc_iter_current_store:n #1
+ { % stepping function
+ \__nmc_calc_fn_val:VNnN \l__nmc_iter_var_tl \l__nmc_formula_tl
+ { \l__nmc_result_fp } \l__nmc_result_fp
+ \bool_if:NF \g__nmc_error_bool
+ {
+ \__nmc_num_format:nNnN { \l__nmc_result_fp } \l_nmc_result_tl
+ { \l__nmc_round_int } \l__nmc_sci_num_out_bool
+ \seq_put_right:NV \l__nmc_iter_result_seq \l_nmc_result_tl
+ \int_set:Nn \l_tmpa_int
+ { \l__nmc_iter_total_int - \l__nmc_iter_view_int + #1 }
+ \seq_put_right:Nx \l__nmc_iter_index_seq { \int_use:N \l_tmpa_int }
+ }
+ }
+\cs_new_protected:Npn \__nmc_iter_fixed_pt:
+ { % already 1 iteration
+ \int_set:Nn \l__nmc_iter_total_int { 1 }
+ \fp_set_eq:NN \l__nmc_iter_fixedpti_fp \l__nmc_iter_first_fp
+ \fp_set:Nn \l__nmc_iter_fixedptii_fp { \l__nmc_iter_fixedpti_fp + 1 }
+ \bool_until_do:nn
+ {
+ \fp_compare_p:nNn { 0 } =
+ { round( \l__nmc_iter_fixedpti_fp - \l__nmc_iter_fixedptii_fp,
+ \l__nmc_iter_round_int ) }
+ || \g__nmc_error_bool
+ }
+ {
+ \int_incr:N \l__nmc_iter_total_int
+ \fp_set_eq:NN \l__nmc_iter_fixedptii_fp \l__nmc_iter_fixedpti_fp
+ \__nmc_calc_fn_val:VNnN \l__nmc_iter_var_tl \l__nmc_formula_tl
+ { \l__nmc_result_fp } \l__nmc_result_fp
+ \fp_set_eq:NN \l__nmc_iter_fixedpti_fp \l__nmc_result_fp
+ \int_compare:nNnF { \l__nmc_iter_total_int } <
+ { \l__nmc_iter_max_int }
+ {
+ \bool_gset_true:N \g__nmc_error_bool
+ \__nmc_error_what:n
+ {
+ No~fixed~point~attained~after~$\int_use:N
+ \l__nmc_iter_total_int$~iterations~of
+ }
+ }
+ }
+ }
+\cs_new_protected:Npn \__nmc_iter_environ:
+ {
+ \tl_set:Nx \l__nmc_iter_begin_tl
+ {
+ \mode_if_math:F { \exp_not:o \l__nmc_math_delimi_tl }
+ \exp_not:N \begin{array}{r@{}l}
+ \bool_if:NTF \l__nmc_wraps_math_bool
+ { \exp_not:o \l__nmc_formula_dup_tl &{}= }
+ { &{} }
+ }
+ \tl_set:Nx \l__nmc_iter_end_tl
+ {
+ \exp_not:N \end{array}
+ \mode_if_math:F { \exp_not:o \l__nmc_math_delimii_tl }
+ }
+ }
+\cs_new_protected:Npn \__nmc_iter_write:
+ {
+ \__nmc_num_format:nNnN { \l__nmc_iter_first_fp } \l_tmpa_tl
+ { \l__nmc_round_int } \l__nmc_sci_num_out_bool
+ \tl_gset:Nx \g__nmc_iter_info_tl { \int_use:N \l__nmc_iter_total_int }
+ \__nmc_if_mod_zero:nnTF { \l__nmc_debug_int } { 7 }
+ { \seq_get_right:NN \l__nmc_iter_result_seq \l_nmc_result_tl }
+ {
+ \tl_set:Nx \l_nmc_result_tl
+ {
+ \exp_not:o \l__nmc_iter_begin_tl
+ \l_tmpa_tl \l__nmc_vv_display_tl
+ \int_compare:nNnT
+ { \l__nmc_iter_total_int } > { \l__nmc_iter_view_int + 1 }
+ {
+ \\ & \exp_not:N \ldots
+ \ \exp_not:N\mbox{final\
+ \int_use:N \l__nmc_iter_view_int\ of\ \g__nmc_iter_info_tl :}
+ }
+ \int_compare:nNnT { \l__nmc_iter_total_int } > { 1 }
+ { \\ & \exp_not:N \hookrightarrow }
+ \seq_use:Nn \l__nmc_iter_result_seq { \\ & \hookrightarrow }
+ \exp_not:o \l__nmc_iter_end_tl
+ }
+ }
+ }
+\cs_new_protected:Npn \__nmc_iter_display:
+ {
+ \bool_if:NTF \l__nmc_num_only_bool
+ { \tl_gset_eq:NN \g__nmc_reuse_tl \l_nmc_result_tl }
+ {
+ \__nmc_plus_reuse:nNN { \l__nmc_iter_reuse_int }
+ \l__nmc_iter_index_seq \l__nmc_iter_result_seq
+ }
+ \l_nmc_result_tl
+ }
+%--------------------------------------
+%\nmcSolve
+\int_new:N \l__nmc_solve_round_int
+\int_new:N \l__nmc_solve_steps_int
+\int_new:N \l__nmc_solve_slope_int
+\int_new:N \l__nmc_solve_slopei_int
+\int_new:N \l__nmc_solve_signs_int
+\fp_new:N \l__nmc_solvea_fp
+\fp_new:N \l__nmc_solveb_fp
+\fp_new:N \l__nmc_solvec_fp
+\fp_new:N \l__nmc_solved_fp
+
+\fp_new:N \l__nmc_solvefa_fp
+\fp_new:N \l__nmc_solvefb_fp
+\fp_new:N \l__nmc_solvefc_fp
+\bool_new:N \l__nmc_solve_stop_bool
+\tl_new:N \g__nmc_sove_info_tl
+
+\nmc_define:nnN { \nmcSolve } { solve } \solve
+
+\cs_new_protected:Npn \__nmc_solve_settings_digest:
+ {
+ \bool_set_false:N \l__nmc_allow_TF_out_bool
+ \tl_if_empty:NF \l__nmc_solve_step_tl
+ {
+ \__nmc_fpify_set:NN \l__nmc_solve_step_fp \l__nmc_solve_step_tl
+ \fp_compare:nNnT \l__nmc_solve_step_fp = { 0 }
+ { \__nmc_error_what:n { Non-zero~initial~step~required~in } }
+ }
+ }
+\cs_new_protected:Npn \__nmc_solve_vv_digest:N #1
+ {
+ \tl_if_empty:NTF \l__nmc_solve_var_tl
+ { \__nmc_vv_digest:N #1 }
+ {
+ \clist_push:NV \l__nmc_formula_tl \l__nmc_solve_var_tl
+ \__nmc_vv_digest:N #1
+ \clist_pop:NN \l__nmc_formula_tl \l__nmc_solve_var_tl
+ }
+ }
+\cs_new_protected:Npn \__nmc_solve_process:
+ {
+ \int_set:Nn \l__nmc_solve_round_int
+ { \l__nmc_round_int + \l__nmc_solve_extra_int }
+ % get equation var if unspecified
+ \tl_if_empty:NT \l__nmc_solve_var_tl
+ {
+ \seq_get:NN \l__nmc_vv_all_seq \l_tmpa_tl
+ \__nmc_vv_split_item:V \l_tmpa_tl
+ \tl_set_eq:NN \l__nmc_solve_var_tl \l__nmc_eq_var_tl
+ }
+ \bool_if:NF \g__nmc_error_bool
+ { \__nmc_solve_get_trial_vals: }
+ \bool_if:NF \g__nmc_error_bool
+ {
+ \__nmc_error_where:n { function }
+ \__nmc_solve_do:
+ }
+ \bool_if:NF \g__nmc_error_bool
+ {
+ \__nmc_num_format:nNnN { \l__nmc_solvea_fp } \l_nmc_result_tl
+ { \l__nmc_round_int } \l__nmc_sci_num_out_bool
+ \tl_gset:Nx \g__nmc_solve_info_tl
+ { \clist_use:Nn \g__nmc_solve_info_tl { + } }
+ \tl_set_eq:NN \l__nmc_fp_expr_tl \l__nmc_fp_exprn_tl
+ }
+ }
+\cs_new_protected:Npn \__nmc_solve_get_trial_vals:
+ {
+ \prop_get:NVN \g__nmc_subst_var_prop
+ \l__nmc_solve_var_tl \l__nmc_subst_tl
+ % ensure a < b
+ \int_case:nn { \fp_sign:n { \l__nmc_solve_step_fp } }
+ {
+ { 1 }
+ {
+ \fp_set:Nn \l__nmc_solvea_fp { \l__nmc_subst_tl }
+ \fp_set:Nn \l__nmc_solveb_fp
+ { \l__nmc_solvea_fp + \l__nmc_solve_step_fp }
+ }
+ { -1 }
+ {
+ \fp_set:Nn \l__nmc_solveb_fp { \l__nmc_subst_tl }
+ \fp_set:Nn \l__nmc_solvea_fp
+ { \l__nmc_solveb_fp + \l__nmc_solve_step_fp }
+ }
+ }
+ }
+% find opp. signs, zero, or fn min.
+% a b = var vals; fa fb = fn vals
+\cs_new_protected:Npn \__nmc_solve_do:
+ {
+ \__nmc_solve_calc_values:
+ \int_zero:N \l__nmc_solve_steps_int
+ \tl_gclear:N \g__nmc_solve_info_tl
+ \bool_do_until:nn
+ {
+ \g__nmc_error_bool || \l__nmc_solve_stop_bool
+ || \int_compare_p:nNn
+ { \l__nmc_solve_steps_int } > { \l__nmc_solve_max_int }
+ || \fp_compare_p:nNn { 0 } =
+ { round(\l__nmc_solveb_fp - \l__nmc_solvea_fp,
+ \l__nmc_solve_round_int) }
+ }
+ {
+ \int_incr:N \l__nmc_solve_steps_int
+ \int_case:nn { \l__nmc_solve_signs_int }
+ {
+ { 0 } { \__nmc_solve_do_bingo: }
+ { -1 } { \__nmc_solve_do_bisect: }
+ { 1 } { \__nmc_solve_do_slope: }
+ }
+ }
+ \bool_if:nF { \g__nmc_error_bool || \l__nmc_solve_stop_bool }
+ {
+ \__nmc_error_where:n { $\l__nmc_formula_tl$ }
+ \__nmc_error_what:n
+ {
+ No~zero/extremum~found~after~$\int_use:N
+ \l__nmc_solve_max_int$~steps~for~function
+ }
+ }
+ }
+\cs_new_protected:Npn \__nmc_solve_do_bingo:
+ { % fn = 0 to 16 figures
+ \fp_compare:nNnTF { \l__nmc_solvefb_fp } = { 0 }
+ {
+ \fp_set_eq:NN \l__nmc_solvea_fp \l__nmc_solveb_fp
+ \fp_set_eq:NN \l__nmc_solvefa_fp \l__nmc_solvefb_fp
+ }
+ {
+ \fp_set_eq:NN \l__nmc_solveb_fp \l__nmc_solvea_fp
+ \fp_set_eq:NN \l__nmc_solvefb_fp \l__nmc_solvefa_fp
+ }
+ \bool_set_true:N \l__nmc_solve_stop_bool
+ }
+\cs_new_protected:Npn \__nmc_solve_do_bisect:
+ {
+ \tl_gset:Nx \g__nmc_solve_info_tl { \int_use:N \l__nmc_solve_steps_int }
+ \int_zero:N \l__nmc_solve_steps_int
+ \fp_set:Nn \l__nmc_solvec_fp { ( \l__nmc_solvea_fp + \l__nmc_solveb_fp ) / 2 }
+ \__nmc_calc_fn_val:VNnN \l__nmc_solve_var_tl \l__nmc_formula_tl
+ { \l__nmc_solvec_fp } \l__nmc_solvefc_fp
+ \fp_set:Nn \l__nmc_solved_fp { \l__nmc_solvec_fp + 1 }
+ \bool_until_do:nn
+ {
+ \g__nmc_error_bool ||
+ \fp_compare_p:nNn { 0 } =
+ { round( \l__nmc_solvec_fp - \l__nmc_solved_fp ,
+ \l__nmc_solve_round_int ) }
+ }
+ {
+ \int_incr:N \l__nmc_solve_steps_int
+ \fp_set_eq:NN \l__nmc_solved_fp \l__nmc_solvec_fp
+ \fp_compare:nNnTF { 0 } = { \l__nmc_solvefc_fp }
+ {
+ \fp_set_eq:NN \l__nmc_solvea_fp \l__nmc_solvec_fp
+ \fp_set_eq:NN \l__nmc_solvefa_fp \l__nmc_solvefc_fp
+ }
+ {
+ \fp_compare:nNnTF
+ { sign(\l__nmc_solvefa_fp)sign(\l__nmc_solvefc_fp) } = { 1 }
+ {
+ \fp_set_eq:NN \l__nmc_solvea_fp \l__nmc_solvec_fp
+ \fp_set_eq:NN \l__nmc_solvefa_fp \l__nmc_solvefc_fp
+ }
+ {
+ \fp_set_eq:NN \l__nmc_solveb_fp \l__nmc_solvec_fp
+ \fp_set_eq:NN \l__nmc_solvefb_fp \l__nmc_solvefc_fp
+ }
+ \fp_set:Nn \l__nmc_solvec_fp
+ { ( \l__nmc_solvea_fp + \l__nmc_solveb_fp ) / 2 }
+ \__nmc_calc_fn_val:VNnN \l__nmc_solve_var_tl
+ \l__nmc_formula_tl { \l__nmc_solvec_fp } \l__nmc_solvefc_fp
+ }
+ }
+ \bool_set_true:N \l__nmc_solve_stop_bool
+ \clist_gput_right:Nx \g__nmc_solve_info_tl { \int_use:N \l__nmc_solve_steps_int }
+ }
+\cs_new_protected:Npn \__nmc_solve_do_slope:
+ {
+ \bool_if:NF \g__nmc_error_bool
+ {
+ \int_if_zero:nTF { \l__nmc_solve_slope_int }
+ { % contract
+ \fp_add:Nn \l__nmc_solvea_fp
+ { ( \l__nmc_solveb_fp - \l__nmc_solvea_fp ) / 4 }
+ \fp_sub:Nn \l__nmc_solveb_fp
+ { ( \l__nmc_solveb_fp - \l__nmc_solvea_fp ) / 4 }
+ }
+ { % always towards x-axis
+ \fp_compare:nNnTF { 0 } <
+ { \l__nmc_solvefa_fp * \l__nmc_solve_slope_int }
+ { \__nmc_solve_do_slope_left: }
+ { \__nmc_solve_do_slope_right: }
+ }
+ \fp_set_eq:NN \l__nmc_solved_fp \l__nmc_solvea_fp
+ \int_set_eq:NN \l__nmc_solve_slopei_int \l__nmc_solve_slope_int
+ \__nmc_solve_calc_values:
+ }
+ \bool_if:NF \g__nmc_error_bool
+ {
+ \int_compare:nNnF { \l__nmc_solve_slope_int } =
+ { \l__nmc_solve_slopei_int }
+ {
+ \fp_set:Nn \l__nmc_solvec_fp { ( \l__nmc_solvea_fp + \l__nmc_solveb_fp ) / 2 }
+ \int_case:nn { \l__nmc_solve_slopei_int }
+ {
+ { 1 } { \fp_set_eq:NN \l__nmc_solvea_fp \l__nmc_solvec_fp }
+ { -1 } { \fp_set_eq:NN \l__nmc_solveb_fp \l__nmc_solvec_fp }
+ }
+ \__nmc_solve_calc_values:
+ }
+ }
+ \fp_compare:nNnT { 0 } =
+ { round(\l__nmc_solveb_fp - \l__nmc_solvea_fp,
+ \l__nmc_solve_round_int) }
+ { \bool_set_true:N \l__nmc_solve_stop_bool }
+ }
+\cs_new_protected:Npn \__nmc_solve_do_slope_left:
+ {
+ \fp_set:Nn \l__nmc_solvec_fp { 2 \l__nmc_solvea_fp - \l__nmc_solveb_fp }
+ \fp_set_eq:NN \l__nmc_solveb_fp \l__nmc_solvea_fp
+ \fp_set_eq:NN \l__nmc_solvea_fp \l__nmc_solvec_fp
+ }
+\cs_new_protected:Npn \__nmc_solve_do_slope_right:
+ {
+ \fp_set:Nn \l__nmc_solvec_fp { 2 \l__nmc_solveb_fp - \l__nmc_solvea_fp }
+ \fp_set_eq:NN \l__nmc_solvea_fp \l__nmc_solveb_fp
+ \fp_set_eq:NN \l__nmc_solveb_fp \l__nmc_solvec_fp
+ }
+\cs_new_protected:Npn \__nmc_solve_calc_values:
+ {
+ \__nmc_calc_fn_val:VNnN \l__nmc_solve_var_tl \l__nmc_formula_tl
+ { \l__nmc_solvea_fp } \l__nmc_solvefa_fp
+ \bool_if:NF \g__nmc_error_bool
+ {
+ \__nmc_calc_fn_val:VNnN \l__nmc_solve_var_tl \l__nmc_formula_tl
+ { \l__nmc_solveb_fp } \l__nmc_solvefb_fp
+ }
+ \bool_if:NF \g__nmc_error_bool
+ {
+ \int_set:Nn \l__nmc_solve_slope_int
+ { \fp_eval:n { sign(\l__nmc_solvefb_fp - \l__nmc_solvefa_fp) } }
+ \int_set:Nn \l__nmc_solve_signs_int
+ { \fp_eval:n { sign(\l__nmc_solvefa_fp) sign(\l__nmc_solvefb_fp) } }
+ }
+ }
+\cs_new_protected:Npn \__nmc_solve_display:
+ {
+ \tl_gset_eq:NN \g__nmc_reuse_tl \l_nmc_result_tl
+ \bool_if:NF \l__nmc_num_only_bool
+ {
+ \__nmc_num_format:nNnN { \l__nmc_solvefa_fp } \l_tmpa_tl
+ { \l__nmc_round_int } \l__nmc_sci_num_out_bool
+ \tl_set:Nx \l_nmc_result_tl
+ {
+ \exp_not:o \l__nmc_math_delimi_tl
+ \bool_if:NTF \l__nmc_wraps_math_bool
+ {
+ \exp_not:o \l__nmc_formula_tl = \l_tmpa_tl
+ \bool_if:NTF \l__nmc_vv_multline_bool
+ { \exp_not:o \l__nmc_vv_display_tl }
+ {
+ \mathchoice{ \exp_not:o \l__nmc_vv_display_tl }
+ { \exp_not:o \l__nmc_vv_inline_tl }{}{}
+ }
+ \rightarrow \exp_not:N \quad
+ \l__nmc_solve_var_tl = \l_nmc_result_tl
+ }
+ {
+ \l__nmc_solve_var_tl = \l_nmc_result_tl
+ \mathchoice{ \exp_not:o \l__nmc_vv_display_tl }
+ { \exp_not:o \l__nmc_vv_inline_tl }{}{}
+ }
+ \l__nmc_punc_tl
+ \exp_not:o \l__nmc_math_delimii_tl
+ }
+ \int_if_zero:nT { \l__nmc_solve_reuse_int }
+ { \tl_gset_eq:NN \g__nmc_reuse_tl \l_nmc_result_tl }
+ }
+ \l_nmc_result_tl
+ }
+%--------------------------------------
+% \nmcRecur
+\bool_new:N \l__nmc_recur_ellipsis_bool
+\int_new:N \l__nmc_recur_last_int
+\fp_new:N \l__nmc_recur_result_fp
+
+\int_new:N \l__nmc_recur_subscr_ini_int
+\int_new:N \l__nmc_recur_subscr_val_int
+\int_new:N \l__nmc_recur_order_int
+\int_new:N \l__nmc_recur_var_int
+
+\tl_new:N \l__nmc_recurrence_tl
+\tl_new:N \l__nmc_recur_base_var_tl
+\tl_new:N \l__nmc_recur_subscr_var_tl
+
+\seq_new:N \l__nmc_recur_result_seq
+\seq_new:N \l__nmc_recur_index_seq
+\seq_new:N \l__nmc_recur_vars_seq
+
+\nmc_define:nnN { \nmcRecur } { recur } \recur
+
+\cs_new_protected:Npn \__nmc_recur_settings_digest:
+ {
+ \bool_set_false:N \l__nmc_allow_TF_out_bool
+ \int_set:Nn \l__nmc_recur_total_int
+ { \int_max:nn { \l__nmc_recur_total_int } { 1 } }
+ \int_set:Nn \l__nmc_recur_last_int
+ { \int_max:nn { 0 } { \int_min:nn
+ { \l__nmc_recur_last_int } { \l__nmc_recur_total_int } } }
+ \int_set:Nn \l__nmc_recur_first_int
+ { \int_max:nn { 0 } { \int_min:nn { \l__nmc_recur_first_int }
+ { \l__nmc_recur_total_int - \l__nmc_recur_last_int } } }
+ \int_if_zero:nT { \l__nmc_recur_first_int }
+ { \int_decr:N \l__nmc_recur_first_int }
+ }
+\cs_new_protected:Npn \__nmc_recur_vv_digest:N #1
+ { % #1 = reversed vv clist
+ \bool_set_true:N \l__nmc_multitok_bool
+ \__nmc_recur_elements:
+ \__nmc_recur_vars_change:N #1
+ \__nmc_vv_digest:N #1
+ \__nmc_recur_vv_post:
+ \tl_set_eq:NN \l__nmc_formula_tl \l__nmc_recurrence_tl
+ }
+% \l__nmc_recurrence_tl, \l__nmc_recur_base_var_tl,
+% \l__nmc_recur_subscr_var_tl, \l__nmc_recur_subscr_val_int
+\cs_new_protected:Npn \__nmc_recur_elements:
+ {
+ \tl_clear:N \l_tmpa_tl
+ \bool_set_false:N \l_tmpa_bool
+ \tl_map_inline:Nn \l__nmc_formula_tl
+ {
+ \bool_if:NTF \l_tmpa_bool
+ {
+ \tl_set:Nn \l_tmpa_tl { ##1 }
+ \tl_map_break:
+ }
+ {
+ \token_if_math_subscript:NTF ##1
+ {
+ \tl_set:NV \l__nmc_recur_base_var_tl \l_tmpa_tl
+ \bool_set_true:N \l_tmpa_bool
+ }
+ { \tl_put_right:Nn \l_tmpa_tl { ##1 } }
+ }
+ }
+ \__nmc_recur_parse_subscr:N \l_tmpa_tl
+ \exp_last_unbraced:NV\__nmc_split_eq:w \l__nmc_formula_tl \q_stop
+ \tl_set:NV \l__nmc_recurrence_tl \l__nmc_eq_val_tl
+ \tl_set_rescan:Nno \l__nmc_recurrence_tl { \ExplSyntaxOn } \l__nmc_recurrence_tl
+ }
+\cs_new_protected:Npn \__nmc_recur_parse_subscr:N #1
+ {
+ \tl_clear:N \l__nmc_recur_subscr_var_tl
+ \tl_set:Nn \l_tmpb_tl { 0 }
+ \int_zero:N \l__nmc_recur_subscr_val_int
+ \bool_set_false:N \l_tmpa_bool
+ \tl_map_inline:Nn #1
+ {
+ \bool_if:NTF \l_tmpa_bool
+ { \tl_put_right:Nn \l_tmpb_tl { ##1 } }
+ {
+ \tl_if_in:nnTF { +- } { ##1 }
+ {
+ \tl_put_right:Nn \l_tmpb_tl { ##1 }
+ \bool_set_true:N \l_tmpa_bool
+ }
+ { \tl_put_right:Nn \l__nmc_recur_subscr_var_tl { ##1 } }
+ }
+ }
+ \int_set:Nn \l__nmc_recur_subscr_val_int { \l_tmpb_tl }
+ }
+\cs_new_protected:Npn \__nmc_recur_vars_change:N #1
+ { % f_{1} etc ==> f_{n-1} etc in #1 (reverse order vv-list)
+ \clist_reverse:N #1
+ \int_zero:N \l__nmc_recur_order_int
+ \clist_clear:N \l_tmpa_clist % --> \l__nmc_recur_vars_seq
+ \clist_clear:N \l_tmpb_clist % --> #1
+ \int_set:Nn \l_tmpb_int { \l__nmc_recur_subscr_val_int - 1 }
+ \tl_set_rescan:Nno #1 { \ExplSyntaxOn } #1
+ \clist_map_inline:Nn #1
+ {
+ \seq_set_split:Nnn \l_tmpa_seq {_} { ##1 }
+ \seq_pop:NN \l_tmpa_seq \l_tmpa_tl
+ \seq_if_empty:NTF \l_tmpa_seq
+ { \clist_put_left:NV \l_tmpb_clist \l_tmpa_tl }
+ {
+ \tl_if_eq:NNTF \l_tmpa_tl \l__nmc_recur_base_var_tl
+ { % change e.g. f_{1}(x) to f_{n-1}(x)
+ \int_incr:N \l__nmc_recur_order_int
+ \tl_put_right:Nn \l_tmpa_tl { _ }
+ \tl_set_eq:NN \l_tmpb_tl \l__nmc_recur_subscr_var_tl
+ \int_case:nn { \int_sign:n { \l_tmpb_int } }
+ {
+ { -1 }
+ {
+ \tl_put_right:Nx \l_tmpb_tl
+ { \int_use:N \l_tmpb_int }
+ }
+ { 0 } { \prg_do_nothing: }
+ { 1 }
+ {
+ \tl_put_right:Nn \l_tmpb_tl { + }
+ \tl_put_right:Nx \l_tmpb_tl
+ { \int_use:N \l_tmpb_int }
+ }
+ }
+ \tl_put_right:Nx \l_tmpa_tl { { \l_tmpb_tl } }
+ \int_decr:N \l_tmpb_int
+ \seq_pop:NN \l_tmpa_seq \l_tmpb_tl
+ \int_set:Nn \l__nmc_recur_subscr_ini_int
+ { \tl_head:N \l_tmpb_tl }
+ \tl_put_right:Nx \l_tmpa_tl
+ { \tl_range:Nnn \l_tmpb_tl { 2 } { -1 } }
+ \clist_put_left:NV \l_tmpb_clist \l_tmpa_tl
+ \seq_set_split:NnV \l_tmpb_seq { = } \l_tmpa_tl
+ \seq_pop:NN \l_tmpb_seq \l_tmpa_tl
+ \clist_put_left:NV \l_tmpa_clist \l_tmpa_tl
+ }
+ { \clist_put_left:Nn \l_tmpb_clist { ##1 } }
+ }
+ }
+ \int_set:Nn \l__nmc_recur_var_int
+ { \l__nmc_recur_subscr_ini_int + \l__nmc_recur_order_int
+ - \l__nmc_recur_subscr_val_int }
+ \clist_set_eq:NN #1 \l_tmpb_clist
+ \clist_put_left:NV \l_tmpa_clist \l__nmc_recur_subscr_var_tl
+ \clist_concat:NNN \l__nmc_formula_tl \l__nmc_recurrence_tl \l_tmpa_clist
+ }
+\cs_new_protected:Npn \__nmc_recur_vv_post:
+ {
+ \clist_pop:NN \l__nmc_formula_tl \l__nmc_recurrence_tl
+ \clist_pop:NN \l__nmc_formula_tl \l__nmc_recur_subscr_var_tl
+ \tl_set:Nx \l_tmpa_tl { \int_use:N \l__nmc_recur_var_int }
+ \__nmc_vv_record:NVN \l__nmc_recur_subscr_var_tl \l_tmpa_tl \c_empty_prop
+ \tl_set_eq:NN \l_tmpa_tl \l__nmc_recur_subscr_var_tl
+ \tl_put_right:Nn \l_tmpa_tl { =0 } % formal value
+ \seq_put_left:NV \l__nmc_calc_fn_seq \l_tmpa_tl
+ \seq_set_from_clist:NN \l__nmc_recur_vars_seq \l__nmc_formula_tl
+ }
+%%%%%%%%%%%%%%%%%%%
+\cs_new_protected:Npn \__nmc_recur_process:
+ { % store initial vals; generate later vals
+ \__nmc_recur_store_ini:
+ \__nmc_error_where:n { recurrence~formula }
+ \__nmc_recur_generate:
+ \seq_get_right:NN \l__nmc_recur_result_seq \l_nmc_result_tl
+ \tl_set_eq:NN \l__nmc_fp_expr_tl \l__nmc_fp_exprn_tl
+ }
+\cs_new_protected:Npn \__nmc_recur_store_ini:
+ {
+ \seq_set_eq:NN \l_tmpa_seq \l__nmc_recur_vars_seq
+ \int_step_inline:nnnn { 1 } { 1 } { \l__nmc_recur_order_int }
+ {
+ \seq_pop:NN \l_tmpa_seq \l_tmpa_tl
+ \prop_get:NVN \g__nmc_subst_var_prop \l_tmpa_tl \l__nmc_subst_tl
+ \__nmc_num_format:nNnN { \l__nmc_subst_tl } \l_tmpa_tl
+ { \l__nmc_round_int } \l__nmc_sci_num_out_bool
+ \seq_put_right:NV \l__nmc_recur_result_seq \l_tmpa_tl
+ \tl_set:Nx \l_tmpb_tl { \int_eval:n
+ { \l__nmc_recur_subscr_ini_int + ##1 -1 } }
+ \seq_put_right:NV \l__nmc_recur_index_seq \l_tmpb_tl
+ }
+ }
+\cs_new_protected:Npn \__nmc_recur_generate:
+ {
+ \prop_get:NVN \g__nmc_subst_var_prop
+ \l__nmc_recur_subscr_var_tl \l__nmc_subst_tl
+ \int_set:Nn \l__nmc_recur_var_int { \l__nmc_subst_tl }
+ \int_set:Nn \l_tmpa_int { \l__nmc_recur_var_int +
+ \l__nmc_recur_total_int - \l__nmc_recur_order_int - 1 }
+ \__nmc_error_where:n { recurrence~relation }
+ \__nmc_if_mod_zero:nnT { \l__nmc_debug_int } { 7 }
+ { \__nmc_fpify:VN \l__nmc_recurrence_tl \l__nmc_fp_expr_tl }
+ \int_step_function:nnnN { \l__nmc_recur_var_int } { 1 }
+ {\l_tmpa_int } \__nmc_recur_generate_loop:n
+ }
+\cs_new_protected:Npn \__nmc_recur_generate_loop:n #1
+ {
+ \bool_if:NF \g__nmc_error_bool
+ { % calc. the next term
+ \fp_set:Nn \l_tmpa_fp { #1 }
+ \__nmc_calc_fn_val:VNnN \l__nmc_recur_subscr_var_tl
+ \l__nmc_recurrence_tl { \l_tmpa_fp } \l__nmc_recur_result_fp
+ }
+ \bool_if:NF \g__nmc_error_bool
+ { % store the result
+ \__nmc_num_format:nNnN { \l__nmc_recur_result_fp }
+ \l_tmpa_tl { \l__nmc_round_int } \l__nmc_sci_num_out_bool
+ \seq_put_right:NV \l__nmc_recur_result_seq \l_tmpa_tl
+ \seq_put_right:Nn \l__nmc_recur_index_seq { #1 }
+ % shift vals "down variable"; tmpa above, tmpb below
+ \seq_set_eq:NN \l_tmpa_seq \l__nmc_recur_vars_seq
+ \seq_pop:NN \l_tmpa_seq \l_tmpb_tl % low var
+ \int_step_inline:nnnn {2} { 1 } { \l__nmc_recur_order_int }
+ {
+ \seq_pop:NN \l_tmpa_seq \l_tmpa_tl % hi var
+ \prop_get:NVN \g__nmc_subst_var_prop \l_tmpa_tl \l__nmc_subst_tl
+ \prop_put:NVV \g__nmc_subst_var_prop \l_tmpb_tl \l__nmc_subst_tl
+ \prop_put:NVV \l__nmc_vv_change_prop \l_tmpb_tl \l__nmc_subst_tl
+ \tl_set_eq:NN \l_tmpb_tl \l_tmpa_tl
+ }
+ % use tmpb, not tmpa, in case order = 1
+ \prop_put:NVx \g__nmc_subst_var_prop \l_tmpb_tl
+ { \fp_use:N \l__nmc_recur_result_fp }
+ \prop_put:NVx \l__nmc_vv_change_prop \l_tmpb_tl
+ { \fp_use:N \l__nmc_recur_result_fp }
+ }
+ }
+\cs_new_protected:Npn \__nmc_recur_display:
+ {
+ \bool_if:NTF \l__nmc_num_only_bool
+ { \tl_gset_eq:NN \g__nmc_reuse_tl \l_nmc_result_tl }
+ {
+ \seq_clear:N \l_tmpa_seq
+ \seq_clear:N \l_tmpb_seq
+ \seq_clear:N \l_tmpc_seq
+ \__nmc_recur_result:NN \l_tmpa_seq \l_tmpb_seq
+ \tl_set:Nx \l_nmc_result_tl
+ {
+ \exp_not:o \l__nmc_math_delimi_tl
+ \bool_if:NT \l__nmc_wraps_math_bool
+ {
+ \exp_not:o \l__nmc_formula_dup_tl
+ \bool_if:NTF \l__nmc_vv_multline_bool
+ { \exp_not:o \l__nmc_vv_display_tl }
+ {
+ \mathchoice{ \exp_not:o \l__nmc_vv_display_tl }
+ { \exp_not:o \l__nmc_vv_inline_tl }{}{}
+ }
+ \rightarrow \exp_not:N \quad
+ }
+ \seq_use:Nn \l_tmpa_seq { ,\ }
+ \l__nmc_punc_tl
+ \exp_not:o \l__nmc_math_delimii_tl
+ }
+ \__nmc_plus_reuse:nNN { \l__nmc_recur_reuse_int } \l_tmpc_seq \l_tmpb_seq
+ }
+ \l_nmc_result_tl
+ }
+\cs_new_protected:Npn \__nmc_recur_result:NN #1#2
+ {
+ \int_zero:N \l_tmpa_int
+ \seq_map_inline:Nn \l__nmc_recur_result_seq
+ {
+ \seq_pop:NN \l__nmc_recur_index_seq \l__nmc_toss_tl
+ \int_compare:nNnTF { \l_tmpa_int } < { \l__nmc_recur_first_int }
+ { \seq_put_right:Nn #1 { ##1 } }
+ {
+ \int_compare:nTF { \l_tmpa_int = \l__nmc_recur_first_int
+ < \l__nmc_recur_total_int - \l__nmc_recur_last_int }
+ { \seq_put_right:Nn #1 { \ldots } }
+ {
+ \int_compare:nNnT { 1 + \l_tmpa_int } >
+ { \l__nmc_recur_total_int - \l__nmc_recur_last_int }
+ {
+ \seq_put_right:Nn #1 { ##1 }
+ \seq_put_right:Nn #2 { ##1 }
+ \seq_put_right:Nx \l_tmpc_seq { \int_eval:n { \l_tmpa_int + \l__nmc_recur_subscr_val_int } }
+ }
+ }
+ }
+ \int_incr:N \l_tmpa_int
+ }
+ \bool_if:NT \l__nmc_recur_ellipsis_bool
+ { \seq_put_right:Nn #1{ \ldots } }
+ }
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+\keys_define:nn { numerica }
+ {
+ iter-do .int_set:N = \l__nmc_iter_total_int,
+ iter-see-last .int_set:N = \l__nmc_iter_view_int,
+ iter-max-iterations .int_set:N = \l__nmc_iter_max_int,
+ iter-extra-rounding .int_set:N = \l__nmc_iter_extra_int,
+ iter-reuse .int_set:N = \l__nmc_iter_reuse_int,
+
+ iter-do .default:n = 5,
+ iter-see-last .default:n = 4,
+ iter-max-iterations .default:n = 100,
+ iter-extra-rounding .default:n = 0,
+ iter-reuse .default:n = 0,
+%
+ solve-max-steps .int_set:N = \l__nmc_solve_max_int,
+ solve-extra-rounding .int_set:N = \l__nmc_solve_extra_int,
+ solve-first-step .tl_set:N = \l__nmc_solve_step_tl,
+ solve-reuse .int_set:N = \l__nmc_solve_reuse_int,
+
+ solve-max-steps .default:n = 100,
+ solve-extra-rounding .default:n = 0,
+ solve-first-step .default:n = 1,
+ solve-reuse .default:n = 0,
+%
+ recur-do .int_set:N = \l__nmc_recur_total_int,
+ recur-see-first .int_set:N = \l__nmc_recur_first_int,
+ recur-see-last .int_set:N = \l__nmc_recur_last_int,
+ recur-reuse .int_set:N = \l__nmc_recur_reuse_int,
+
+ recur-do .default:n = 7,
+ recur-see-first .default:n = 3,
+ recur-see-last .default:n = 2,
+ recur-reuse .default:n = 0
+ }
+\keys_set_known:nn { numerica }
+ {
+ iter-do,iter-see-last,iter-max-iterations,
+ iter-extra-rounding,iter-reuse,
+ solve-variable,solve-first-step,solve-max-steps,
+ solve-extra-rounding,solve-reuse,
+ recur-do,recur-see-first,recur-see-last,recur-reuse
+ }
+\keys_define:nn { numerica/iter }
+ {
+ var .tl_set:N = \l__nmc_iter_var_tl,
+ + .int_set:N = \l__nmc_iter_extra_int,
+ max .int_set:N = \l__nmc_iter_max_int,
+ do .int_set:N = \l__nmc_iter_total_int,
+ see .int_set:N = \l__nmc_iter_view_int,
+ reuse .int_set:N = \l__nmc_iter_reuse_int
+ }
+\keys_define:nn { numerica/solve }
+ {
+ var .tl_set:N = \l__nmc_solve_var_tl,
+ + .int_set:N = \l__nmc_solve_extra_int,
+ max .int_set:N = \l__nmc_solve_max_int,
+ dvar .tl_set:N = \l__nmc_solve_step_tl,
+ reuse .int_set:N = \l__nmc_solve_reuse_int
+ }
+\keys_define:nn { numerica/recur }
+ {
+ do .int_set:N = \l__nmc_recur_total_int,
+ see1 .int_set:N = \l__nmc_recur_first_int,
+ see2 .int_set:N = \l__nmc_recur_last_int,
+ ... .code:n = \bool_set_true:N \l__nmc_recur_ellipsis_bool,
+ reuse .int_set:N = \l__nmc_recur_reuse_int
+ }
+% end of `numerica-plus.def' \ No newline at end of file
diff --git a/Master/texmf-dist/tex/latex/numerica/numerica-tables.def b/Master/texmf-dist/tex/latex/numerica/numerica-tables.def
new file mode 100644
index 00000000000..5fb2efd5b48
--- /dev/null
+++ b/Master/texmf-dist/tex/latex/numerica/numerica-tables.def
@@ -0,0 +1,1138 @@
+% This is file `numerica-tables.def',
+% part of the `numerica' package.
+%
+% This work may be distributed and/or modified under the conditions
+% of the LaTeX Project Public License, either version 1.3c of this
+% license or any later version; see
+% http://www.latex-project.org/lppl.txt
+%
+% Andrew Parsloe (ajparsloe@gmail.com)
+%
+\RequirePackage{booktabs}
+%
+\ProvidesExplFile
+ {numerica-tables.def}
+ {2021/02/15}
+ {1.0.0}
+ {Create tables of function values}
+%----------------------------------------------------------
+\cs_new_protected:Npn \__nmc_table_prepad:Nnn #1#2#3
+ {
+ \tl_put_left:Nx #1 { \prg_replicate:nn
+ { \int_max:nn { #2 - \tl_count:N #1 } { 0 } } { #3 } }
+ }
+\cs_new:Npn \__nmc_sci_num_table_plus:nn #1#2
+ { % #1 significand, #2 exponent
+ \fp_compare:nTF { #1 >= 0 }
+ { ( #2 )\,{ \__nmc_sci_num_table:n { #1 } } }
+ { ( #2 )\,{ #1 } }
+ }
+\cs_new:Npn \__nmc_sci_num_table:n #1
+ {
+ \int_compare:nNnF { \l__nmc_num_sgn_int } < { 0 }
+ {
+ \int_case:nn { \l__nmc_table_signs_int }
+ {
+ {-2 } { \exp_not:N \hphantom{-} }
+ {-1 } { \bool_if:NTF \l__nmc_table_signs_bool
+ { + }{ \exp_not:N \hphantom{-} } }
+ { 1 } { \bool_if:NT \l__nmc_table_signs_bool { + } }
+ { 2 } { + }
+ }
+ }
+ #1
+ }
+%--------------------------------------
+\tl_new:N \l__nmc_x_tl
+\seq_new:N \l_tmpd_seq
+\tl_const:Nn \c__nmc_r_tl { r }
+\tl_const:Nn \c__nmc_l_tl { l }
+\bool_new:N \l__nmc_table_clist_bool
+\clist_new:N \l__nmc_formula_clist
+\tl_new:N \l__nmc_table_valign_tl
+\seq_new:N \l_nmc_table_reuse_seq
+
+\tl_new:N \l__nmc_table_rvar_tl
+\tl_new:N \l__nmc_table_rvari_tl
+\tl_new:N \l__nmc_table_rstart_tl
+\tl_new:N \l__nmc_table_rstop_tl
+\tl_new:N \l__nmc_table_rstep_tl
+\fp_new:N \l__nmc_table_rstart_fp
+\fp_new:N \l__nmc_table_rstop_fp
+\fp_new:N \l__nmc_table_rstep_fp
+\fp_new:N \l__nmc_table_r_fp
+\fp_new:N \l__nmc_table_c_fp
+\int_new:N \l__nmc_table_rnum_int
+\clist_new:N \l__nmc_table_rspec_clist
+\bool_new:N \l__nmc_table_rspec_bool
+
+\tl_new:N \l__nmc_table_cvar_tl
+\tl_new:N \l__nmc_table_cstart_tl
+\tl_new:N \l__nmc_table_cstop_tl
+\tl_new:N \l__nmc_table_cstep_tl
+\fp_new:N \l__nmc_table_cstart_fp
+\fp_new:N \l__nmc_table_cstop_fp
+\fp_new:N \l__nmc_table_cstep_fp
+\int_new:N \l__nmc_table_cnum_int
+\clist_new:N \l__nmc_table_cspec_clist
+\bool_new:N \l__nmc_table_cspec_bool
+
+\seq_new:N \l__nmc_table_rvraw_seq
+\seq_new:N \l__nmc_table_rvcol_seq
+\seq_new:N \l__nmc_table_rvcoli_seq
+\seq_new:N \l__nmc_table_this_col_seq
+\seq_new:N \l__nmc_table_body_cols_seq
+\seq_new:N \l__nmc_table_body_rows_seq
+
+\seq_new:N \l__nmc_table_header_seq
+\tl_new:N \l__nmc_table_header_tl
+\tl_new:N \l__nmc_table_rfont_tl
+\tl_new:N \l__nmc_table_rhead_tl
+\tl_new:N \l__nmc_table_rheadi_tl
+\tl_new:N \l__nmc_table_rhnudge_tl
+\tl_new:N \l__nmc_table_rhnudgei_tl
+\int_new:N \l__nmc_table_chround_int
+\int_new:N \l__nmc_table_chstyle_int
+\tl_new:N \l__nmc_table_chnudge_tl
+
+\tl_new:N \l__nmc_table_ctitle_tl
+\bool_new:N \l__nmc_table_ctitle_bool
+\bool_new:N \l__nmc_table_ctitle_vv_bool
+\int_new:N \l__nmc_table_rules_int
+\tl_new:N \l__nmc_table_footer_tl
+\bool_new:N \l__nmc_table_foot_bool
+\bool_new:N \l__nmc_table_footops_bool
+\tl_new:N \l__nmc_table_csum_tl
+\tl_new:N \l__nmc_table_cave_tl
+\tl_new:N \l__nmc_table_cmax_tl
+\tl_new:N \l__nmc_table_cmin_tl
+\tl_new:N \l__nmc_table_cdel_tl
+\tl_new:N \l__nmc_table_rbloc_tl
+\tl_new:N \l__nmc_table_rblock_tl
+\int_new:N \l__nmc_table_rbloc_int
+\clist_new:N \l__nmc_table_rbloc_clist
+
+\int_new:N \l__nmc_table_signs_int
+\int_new:N \l__nmc_table_tsigns_int
+\int_new:N \l__nmc_table_c_int
+\int_new:N \l__nmc_table_b_int
+\int_new:N \l__nmc_table_a_int
+\bool_new:N \l__nmc_table_signs_bool
+\bool_new:N \l__nmc_table_diffs_bool
+\tl_new:N \l__nmc_table_diff_tl
+\tl_new:N \l__nmc_table_diff_null_tl
+
+\tl_new:N \l__nmc_table_Q_tl
+\tl_new:N \l__nmc_table_A_tl
+\fp_new:N \l__nmc_table_max_fp
+\fp_new:N \l__nmc_table_min_fp
+\bool_new:N \l__nmc_table_QA_max_bool
+\bool_new:N \l__nmc_table_QA_min_bool
+\bool_new:N \l__nmc_table_QA_bool
+\bool_new:N \l__nmc_table_num_only_bool
+\tl_new:N \l__nmc_table_num_only_tl
+\tl_new:N \l__nmc_table_query_tl
+%------------------------------------------------
+\nmc_define:nnN { \nmcTabulate } { table } \tabulate
+
+\cs_new_protected:Npn \__nmc_table_settings_digest:
+ {
+ \bool_set_false:N \l__nmc_allow_TF_out_bool
+ \int_compare:nTF { 0 <= \l__nmc_table_rpos_int <= 4 }
+ {
+ \int_compare:nNnT { \l__nmc_table_rpos_int } = { 4 }
+ { \int_incr:N \l__nmc_table_rpos_int }
+ }
+ { \int_set:Nn \l__nmc_table_rpos_int { 1 } }
+ \clist_if_empty:NF \l__nmc_table_rspec_clist
+ { \__nmc_table_settings_spec:N r }
+ \clist_if_empty:NF \l__nmc_table_cspec_clist
+ { \__nmc_table_settings_spec:N c }
+ \tl_if_empty:NT \l__nmc_table_rhead_tl
+ { \tl_set_eq:NN \l__nmc_table_rhead_tl \l__nmc_table_rvar_tl }
+ \tl_if_empty:NT \l__nmc_table_rheadi_tl
+ {
+ \tl_if_empty:NTF \l__nmc_table_rvari_tl
+ { \tl_set_eq:NN \l__nmc_table_rheadi_tl \l__nmc_table_rhead_tl }
+ { \tl_set_eq:NN \l__nmc_table_rheadi_tl \l__nmc_table_rvari_tl }
+ }
+ \tl_if_empty:NT \l__nmc_table_rhnudgei_tl
+ { \tl_set_eq:NN \l__nmc_table_rhnudgei_tl \l__nmc_table_rhnudge_tl }
+
+ \tl_if_empty:NF \l__nmc_table_ctitle_tl
+ { \l__nmc_table_settings_ctitle: }
+ \tl_if_empty:NTF \l__nmc_table_Q_tl
+ { \tl_set:Nn \l__nmc_table_query_tl { *~option~ } }
+ {
+ \tl_set:Nn \l__nmc_table_query_tl { table~value~satisfies~ }
+ \__nmc_table_settings_QA:
+ }
+ \clist_if_empty:NTF \l__nmc_table_rbloc_clist
+ { \tl_set:Nn \l__nmc_table_rbloc_tl { 10000 } }
+ { \clist_pop:NN \l__nmc_table_rbloc_clist \l__nmc_table_rbloc_tl }
+ \tl_set_eq:NN \l__nmc_table_rblock_tl \l__nmc_table_rbloc_tl
+ \int_set:Nn \l__nmc_table_rbloc_int { \l__nmc_table_rbloc_tl }
+
+ \__nmc_table_settings_rules:
+ \int_if_zero:nTF \l__nmc_table_diffs_int
+ { \bool_set_false:N \l__nmc_table_diffs_bool }
+ { \bool_set_true:N \l__nmc_table_diffs_bool }
+ \tl_if_empty:NF \l__nmc_table_chead_tl
+ { \int_set:Nn \l__nmc_table_chstyle_int { 4 } }
+ \tl_if_empty:NF \l__nmc_table_footer_tl
+ {
+ \tl_if_eq:VnTF \l__nmc_table_footer_tl { * }
+ { \bool_set_true:N \l__nmc_table_foot_bool }
+ { \__nmc_table_footer:N \l__nmc_table_footer_tl }
+ }
+ }
+\cs_new_protected:Npn \l__nmc_table_settings_ctitle:
+ {
+ \bool_set_true:N \l__nmc_table_ctitle_bool
+ \tl_if_head_eq_charcode:VNT \l__nmc_table_ctitle_tl *
+ {
+ \tl_if_eq:VnT \l__nmc_table_ctitle_tl { ** }
+ { \bool_set_true:N \l__nmc_table_ctitle_vv_bool }
+ \tl_if_head_eq_charcode:VNT \l__nmc_table_ctitle_tl *
+ {
+ \tl_set:Nn \l__nmc_table_ctitle_tl
+ { \exp_not:o \l__nmc_formula_dup_tl }
+ }
+ }
+ }
+\cs_new_protected:Npn \__nmc_table_settings_rules:
+ {
+ \tl_replace_once:Nnn \l__nmc_table_rules_tl { T } { *2 }
+ \tl_replace_once:Nnn \l__nmc_table_rules_tl { t } { *3 }
+ \tl_replace_once:Nnn \l__nmc_table_rules_tl { h } { *5 }
+ \tl_replace_once:Nnn \l__nmc_table_rules_tl { f } { *7 }
+ \tl_replace_once:Nnn \l__nmc_table_rules_tl { B } { *11 }
+ \int_set:Nn \l__nmc_table_rules_int { 1 \l__nmc_table_rules_tl }
+ }
+\cs_new_protected:Npn \__nmc_table_settings_QA:
+ {
+ \bool_set_true:N \l__nmc_table_QA_bool
+ \regex_replace_all:nnN { (\@) } { \c{l_tmpb_fp} } \l__nmc_table_Q_tl
+ \tl_set_rescan:Nno \l__nmc_table_Q_tl { \ExplSyntaxOn } \l__nmc_table_Q_tl
+ \regex_replace_all:nnN { (\cC.) } { \c{exp_not:N}\1 } \l__nmc_table_A_tl
+ \regex_replace_all:nnN { (\@) } { \c{l_tmpb_tl} } \l__nmc_table_A_tl
+ \tl_if_in:NnT \l__nmc_table_Q_tl { MAX }
+ {
+ \bool_set_true:N \l__nmc_table_QA_max_bool
+ \regex_replace_all:nnN { MAX } { \c{l__nmc_table_max_fp} }
+ \l__nmc_table_Q_tl
+ \fp_set:Nn \l__nmc_table_max_fp { -inf }
+ }
+ \tl_if_in:NnT \l__nmc_table_Q_tl { MIN }
+ {
+ \bool_set_true:N \l__nmc_table_QA_min_bool
+ \regex_replace_all:nnN { MIN } { \c{l__nmc_table_min_fp} }
+ \l__nmc_table_Q_tl
+ \fp_set:Nn \l__nmc_table_min_fp { inf }
+ }
+ }
+\cs_new_protected:Npn \__nmc_table_footer:N #1
+ {
+ \tl_set_eq:NN \l_tmpa_tl #1
+ \regex_replace_all:nnN { SUM } { \c{l__nmc_table_csum_tl} } #1
+ \regex_replace_all:nnN { AVE } { \c{l__nmc_table_cave_tl} } #1
+ \regex_replace_all:nnN { MAX } { \c{l__nmc_table_cmax_tl} } #1
+ \regex_replace_all:nnN { MIN } { \c{l__nmc_table_cmin_tl} } #1
+ \regex_replace_all:nnN { DEL } { \c{l__nmc_table_cdel_tl} } #1
+ \tl_if_eq:NNF \l_tmpa_tl #1
+ { \bool_set_true:N \l__nmc_table_footops_bool }
+ }
+\cs_new_protected:Npn \__nmc_table_settings_spec:N #1
+ {
+ \bool_set_true:c { l__nmc_table_ #1 spec_bool }
+ \clist_pop:cc { l__nmc_table_#1spec_clist } { l__nmc_table_ #1 var_tl }
+ \clist_pop:cc { l__nmc_table_ #1 spec_clist } { l__nmc_table_ #1 step_tl }
+ \clist_pop:cN { l__nmc_table_ #1 spec_clist } \l_tmpa_tl
+ \tl_if_head_eq_charcode:VNTF \l_tmpa_tl (
+ {
+ \int_set:cn { l__nmc_table_ #1 num_int }
+ { \exp_last_unbraced:NV \__nmc_paren_arg:w \l_tmpa_tl }
+ }
+ { \tl_set_eq:cN { l__nmc_table_ #1 stop_tl } \l_tmpa_tl }
+ }
+\cs_new:Npn \__nmc_paren_arg:w (#1) { #1 }
+
+\cs_new_protected:Npn \__nmc_table_vv_digest:N #1
+ {
+ \bool_if:NTF \l__nmc_multitok_bool
+ {
+ \clist_push:NV \l__nmc_formula_tl \l__nmc_table_cvar_tl
+ \clist_push:NV \l__nmc_formula_tl \l__nmc_table_rvar_tl
+ \__nmc_vv_digest:N #1
+ \clist_pop:NN \l__nmc_formula_tl \l__nmc_table_rvar_tl
+ \tl_if_empty:NF \l__nmc_table_cvar_tl
+ { \clist_pop:NN \l__nmc_formula_tl \l__nmc_table_cvar_tl }
+ }
+ { \__nmc_vv_digest:N #1 }
+ \seq_gpop:NN \g__nmc_error_where_seq \l__nmc_toss_tl
+ \__nmc_table_get_ini_vals:
+ \bool_if:nT
+ {
+ \int_if_zero_p:n { \l__nmc_table_rpos_int } &&
+ \int_if_zero_p:n { \l__nmc_table_cnum_int }
+ }
+ { \__nmc_error_what:n { Null~table~specified~in } }
+ \bool_if:NF \g__nmc_error_bool
+ {
+ \bool_if:NT \l__nmc_table_ctitle_vv_bool
+ {
+ \exp_args:NNnx\tl_replace_once:Nnn \l__nmc_vv_inline_tl { vv }
+ { \seq_use:Nn \l__nmc_vv_visible_seq { , } }
+ \tl_put_right:Nn \l__nmc_table_ctitle_tl
+ { \exp_not:o \l__nmc_vv_inline_tl }
+ }
+ }
+ }
+\cs_new_protected:Npn \__nmc_table_get_ini_vals:
+ {
+ \__nmc_error_where:n { settings }
+ \__nmc_table_get_ini_vals_aux:N r
+ \tl_if_empty:NTF \l__nmc_table_cvar_tl
+ {
+ \int_set:Nn \l__nmc_table_cnum_int
+ {
+ \int_compare:nNnTF { \l__nmc_table_cnum_int } = { -1 }
+ { 1 } { \int_min:nn { 1 }
+ { \int_abs:n { \l__nmc_table_cnum_int } } }
+ }
+ }
+ { \__nmc_table_get_ini_vals_aux:N c }
+ \seq_gpop:NN \g__nmc_error_where_seq \l__nmc_toss_tl
+ }
+\cs_new_protected:Npn \__nmc_table_get_ini_vals_aux:N #1
+ {
+ \prop_get:NvNTF \g__nmc_subst_var_prop { l__nmc_table_ #1 var_tl } \l_tmpa_tl
+ {
+ \fp_set:cn { l__nmc_table_ #1 start_fp } { \l_tmpa_tl }
+ \bool_if:cTF { l__nmc_table_ #1 spec_bool }
+ {
+ \__nmc_fpify_set:cc { l__nmc_table_ #1 step_fp }
+ { l__nmc_table_ #1 step_tl }
+ \int_compare:vNnT { l__nmc_table_ #1 num_int } = { -1 }
+ {
+ \__nmc_fpify_set:cc { l__nmc_table_ #1 stop_fp }
+ { l__nmc_table_ #1 stop_tl }
+ \l__nmc_table_calc_num:cnnn { l__nmc_table_ #1 num_int }
+ { l__nmc_table_ #1 stop_fp } { l__nmc_table_ #1 start_fp }
+ { l__nmc_table_ #1 step_fp }
+ }
+ }
+ { \__nmc_table_get_individual_ini_vals:N #1 }
+ }
+ { \__nmc_error_what:n { No~ \__nmc_table_rc:N #1 ~variable~specified~in } }
+ }
+\cs_new:Npn \__nmc_table_rc:N #1
+ { \tl_if_eq:NNTF #1 \c__nmc_r_tl { row } { column } }
+
+\cs_new_protected:Npn \l__nmc_table_calc_num:Nnnn #1#2#3#4
+ {
+ \int_set:Nn #1 { \fp_to_int:n { ( \exp_not:v { #2 } - \exp_not:v { #3 } )
+ / \exp_not:v { #4 } } + 1 }
+ }
+\cs_generate_variant:Nn \l__nmc_table_calc_num:Nnnn { c }
+
+\cs_new_protected:Npn \__nmc_table_get_individual_ini_vals:N #1
+ {
+ \int_case:vnTF { l__nmc_table_ #1 num_int }
+ {
+ { -1 }
+ {
+ \__nmc_fpify_set:cc { l__nmc_table_ #1 step_fp }
+ { l__nmc_table_ #1 step_tl }
+ \bool_if:NF \g__nmc_error_bool
+ { \__nmc_fpify_set:cc { l__nmc_table_ #1 stop_fp }
+ { l__nmc_table_ #1 stop_tl } }
+ \bool_if:NF \g__nmc_error_bool
+ {
+ \l__nmc_table_calc_num:cnnn { l__nmc_table_ #1 num_int }
+ { l__nmc_table_ #1 stop_fp } { l__nmc_table_ #1 start_fp }
+ { l__nmc_table_ #1 step_fp }
+ }
+ }
+ { 0 }
+ {
+ \fp_set:cn { l__nmc_table_ #1 stop_fp }
+ { \exp_not:v { l__nmc_table_ #1 start_fp } - 1 }
+ \fp_set:cn { l__nmc_table_ #1 step_fp } { 1 }
+ }
+ { 1 }
+ {
+ \fp_set_eq:cc { l__nmc_table_ #1 stop_fp }
+ { l__nmc_table_ #1 start_fp }
+ \fp_set:cn { l__nmc_table_ #1 step_fp } { 1 }
+ }
+ }
+ {
+ \bool_if:NT \g__nmc_error_bool
+ { \__nmc_error_what:n { Missing~
+ \__nmc_table_rc:N #1-related~variable~in } }
+ }
+ {
+ \int_compare:vNnTF { l__nmc_table_ #1 num_int } > { 1 }
+ { \__nmc_fpify_set:cc { l__nmc_table_ #1 step_fp }
+ { l__nmc_table_ #1 step_tl } }
+ { \__nmc_error_what:n { Check~number~of~
+ \__nmc_table_rc:N #1s~specified~in } }
+ }
+ }
+%----------------------------------------------------------
+\cs_new_protected:Npn \__nmc_table_process:
+ {
+ \__nmc_error_where:n { formula }
+ \__nmc_table_calc_rvar_col:
+ \seq_clear:N \l__nmc_table_header_seq
+ \tl_if_head_eq_charcode:VNT \l__nmc_formula_tl ,
+ { \__nmc_table_multifn: }
+ \__nmc_table_calc_cvar_cols:
+ \tl_clear:N \l_nmc_result_tl
+ \__nmc_table_form_body:N \l_nmc_result_tl
+ \tl_set_eq:NN \l__nmc_fp_expr_tl \l__nmc_fp_exprn_tl
+ \bool_if:NT \l__nmc_num_only_bool
+ {
+ \bool_if:NTF \l__nmc_table_num_only_bool
+ {
+ \tl_set_eq:NN \l_nmc_result_tl \l__nmc_table_num_only_tl
+ \tl_gset_eq:NN \g__nmc_reuse_tl \l__nmc_table_num_only_tl
+ }
+ {
+ \__nmc_error_where:n { settings }
+ \__nmc_error_what:n
+ { No~ \l__nmc_table_query_tl query~\__nmc_verb:n {Q?}~in }
+ \tl_clear:N \l_nmc_result_tl
+ }
+ }
+ }
+\cs_new_protected:Npn \__nmc_table_multifn:
+ {
+ \bool_set_true:N \l__nmc_table_clist_bool
+ \clist_set:NV \l__nmc_formula_clist \l__nmc_formula_tl
+ \seq_set_from_clist:NN \l__nmc_table_header_seq \l__nmc_formula_clist
+ \int_set:Nn \l__nmc_table_cnum_int
+ { \clist_count:N \l__nmc_formula_clist }
+ \fp_set:Nn \l__nmc_table_cstep_fp { 0 }
+ \fp_set:Nn \l__nmc_table_cstart_fp { 0 }
+ \tl_set:Nn \l__nmc_table_cvar_tl { \l__nmc_x_tl }
+ \prop_put:Nnn \g__nmc_subst_var_prop { \l__nmc_x_tl } { 1 }
+ \int_set:Nn \l__nmc_table_chstyle_int { 4 }
+ }
+\cs_new_protected:Npn \__nmc_table_calc_rvar_col:
+ {
+ \fp_set_eq:NN \l__nmc_table_r_fp \l__nmc_table_rstart_fp
+ \int_step_inline:nnnn { 1 } { 1 } { \l__nmc_table_rnum_int }
+ {
+ \seq_put_right:NV \l__nmc_table_rvraw_seq \l__nmc_table_r_fp
+ \fp_add:Nn \l__nmc_table_r_fp { \l__nmc_table_rstep_fp }
+ }
+ }
+\cs_new:Npn \__nmc_table_calc_cvar_cols:
+ {
+ \fp_set_eq:NN \l__nmc_table_c_fp \l__nmc_table_cstart_fp
+ \int_step_inline:nn { \l__nmc_table_cnum_int }
+ {
+ \bool_if:NTF \l__nmc_table_clist_bool
+ { \clist_pop:NN \l__nmc_formula_clist \l__nmc_formula_tl }
+ { \seq_put_right:NV \l__nmc_table_header_seq { \l__nmc_table_c_fp } }
+ \bool_if:NF \g__nmc_error_bool
+ {
+ \seq_clear:N \l__nmc_table_this_col_seq
+ \fp_set_eq:NN \l__nmc_table_r_fp \l__nmc_table_rstart_fp
+ \int_step_function:nN { \l__nmc_table_rnum_int }
+ \__nmc_table_rvar_step_fn:n
+ }
+ \bool_if:NF \g__nmc_error_bool
+ {
+ \seq_put_right:NV \l__nmc_table_body_cols_seq
+ \l__nmc_table_this_col_seq
+ \fp_add:Nn \l__nmc_table_c_fp \l__nmc_table_cstep_fp
+ \__nmc_table_prop_mode:n {\l__nmc_mode_int}
+ \l__nmc_table_rvar_tl \l__nmc_table_rstart_fp
+ \__nmc_calc_fn_val:VNnN \l__nmc_table_cvar_tl \l__nmc_formula_tl
+ { \l__nmc_table_c_fp } \l__nmc_table_fn_val_fp
+ }
+ }
+ }
+\cs_new:Npn \__nmc_table_prop_mode:n #1
+ {
+ \int_if_zero:nTF { #1 }
+ { \prop_put:NVV \g__nmc_subst_var_prop }
+ { \prop_put:NVV \l__nmc_vv_change_prop }
+ }
+\cs_new_protected:Npn \__nmc_table_rvar_step_fn:n #1
+ {
+ \bool_if:NF \g__nmc_error_bool
+ {
+ \__nmc_calc_fn_val:VNnN \l__nmc_table_rvar_tl
+ \l__nmc_formula_tl { \l__nmc_table_r_fp } \l_tmpa_fp
+ \seq_put_right:NV \l__nmc_table_this_col_seq \l_tmpa_fp
+ \bool_if:NT \l__nmc_table_QA_bool
+ { \__nmc_table_maxmin_do:n { \l_tmpa_fp } }
+ \fp_add:Nn \l__nmc_table_r_fp { \l__nmc_table_rstep_fp }
+ }
+ }
+\cs_new_protected:Npn \__nmc_table_maxmin_do:n #1
+ {
+ \bool_if:NT \l__nmc_table_QA_max_bool
+ { \fp_set:Nn \l__nmc_table_max_fp
+ { \fp_max:nn { \l__nmc_table_max_fp } { #1} } }
+ \bool_if:NT \l__nmc_table_QA_min_bool
+ { \fp_set:Nn \l__nmc_table_min_fp
+ { \fp_min:nn { \l__nmc_table_min_fp } { #1 } } }
+ }
+%----------------------------------------------------------
+\cs_new_protected:Npn \__nmc_table_display:
+ {
+ \bool_if:NF \l__nmc_num_only_bool
+ {
+ \__nmc_table_headercnum:
+ \tl_set:Nx \l__nmc_table_header_tl { \__nmc_table_header: }
+ \bool_if:NT \l__nmc_table_foot_bool
+ {
+ \seq_set_split:NnV \l_tmpa_seq { & }\l__nmc_table_header_tl
+ \seq_reverse:N \l_tmpa_seq
+ \tl_set:Nx \l__nmc_table_footer_tl { \seq_use:Nn \l_tmpa_seq { & } }
+ }
+ \tl_put_left:Nx \l_nmc_result_tl
+ {
+ \__nmc_table_upper:
+ \exp_not:o \l__nmc_table_header_tl
+ \tabularnewline
+ \__nmc_if_mod_zero:nnT { \l__nmc_table_rules_int } { 5 }
+ { \exp_not:N \midrule }
+ }
+ \tl_put_right:Nx \l_nmc_result_tl { \__nmc_table_form_lower: }
+ \__nmc_table_reuse:
+ }
+ \l_nmc_result_tl
+ }
+\cs_new:Npn \__nmc_table_upper:
+ {
+ \exp_not:n { \begin{tabular} }
+ \exp_not:o \l__nmc_table_valign_tl
+ {
+ \int_if_odd:nT { \l__nmc_table_rpos_int }
+ { \l__nmc_table_rcalign_tl }
+ \prg_replicate:nn
+ { \l__nmc_table_cnum_int } \l__nmc_table_ccalign_tl
+ \int_compare:nNnT { \l__nmc_table_rpos_int } > { 1 }
+ { \l__nmc_table_rcalign_tl }
+ }
+ \__nmc_if_mod_zero:nnT { \l__nmc_table_rules_int } { 2 }
+ { \exp_not:N \toprule }
+ \bool_if:NT \l__nmc_table_ctitle_bool
+ { \__nmc_table_form_ctitle: }
+ }
+\cs_new:Npn \__nmc_table_form_ctitle:
+ {
+ \int_compare:nNnTF { \l__nmc_table_rpos_int } = { 0 }
+ {
+ \int_compare:nNnF { \l__nmc_table_cnum_int } = { 1 }
+ {
+ \__nmc_table_form_ctitle:nnnn {} {} { 1 }
+ { \l__nmc_table_cnum_int }
+ }
+ }
+ {
+ \int_compare:nNnT { \l__nmc_table_cnum_int } > { 1 }
+ {
+ \int_case:nnF { \l__nmc_table_rpos_int }
+ {
+ { 1 } { \__nmc_table_form_ctitle:nnnn { & } {} { 2 }
+ { \l__nmc_table_cnum_int + 1 } }
+ { 2 } { \__nmc_table_form_ctitle:nnnn {} { & } { 1 }
+ { \l__nmc_table_cnum_int } }
+ }
+ { % 3,4/5
+ \__nmc_table_form_ctitle:nnnn { & } { & } { 2 }
+ { \l__nmc_table_cnum_int + 1 }
+ }
+ }
+ }
+ }
+\cs_new:Npn \__nmc_table_form_ctitle:nnnn #1#2#3#4
+ {
+ #1 \exp_not:N \multicolumn
+ { \int_eval:n { \l__nmc_table_cnum_int } } { c }
+ { $ \l__nmc_table_ctitle_tl $ }
+ #2 \tabularnewline
+ \__nmc_if_mod_zero:nnT { \l__nmc_table_rules_int } { 3 }
+ {
+ \exp_not:N \cmidrule(lr)
+ { #3-\int_eval:n { #4 } }
+ }
+ }
+%%%%%%%%%%%%%%%%%%%%
+\cs_new:Npn \__nmc_table_header:
+ {
+ \int_if_zero:nTF { \l__nmc_table_cnum_int }
+ {
+ \__nmc_table_header_rvar:nn { \exp_not:o \l__nmc_table_rhead_tl }
+ \l__nmc_table_rhnudge_tl
+ }
+ {
+ \int_case:nnF { \l__nmc_table_rpos_int }
+ {
+ { 0 } { \exp_not:o \l__nmc_table_chead_tl }
+ { 1 }
+ {
+ \__nmc_table_header_rvar:nn
+ { \exp_not:o \l__nmc_table_rhead_tl }
+ \l__nmc_table_rhnudge_tl
+ & \exp_not:o \l__nmc_table_chead_tl
+ }
+ { 2 }
+ {
+ \exp_not:o \l__nmc_table_chead_tl &
+ \__nmc_table_header_rvar:nn
+ { \exp_not:o \l__nmc_table_rhead_tl }
+ \l__nmc_table_rhnudge_tl
+ }
+ }
+ { % 3,4/5
+ \__nmc_table_header_rvar:nn
+ { \exp_not:o \l__nmc_table_rhead_tl }
+ \l__nmc_table_rhnudge_tl
+ & \exp_not:o \l__nmc_table_chead_tl &
+ \__nmc_table_header_rvar:nn
+ { \exp_not:o \l__nmc_table_rheadi_tl }
+ \l__nmc_table_rhnudgei_tl
+ }
+ }
+ }
+\cs_new:Npn \__nmc_table_headercnum:
+ {
+ \int_compare:nNnTF { \l__nmc_table_cnum_int } = { 1 }
+ { \__nmc_table_headeri: }
+ { \__nmc_table_headern: }
+ }
+\cs_new:Npn \__nmc_table_header_rvar:nn #1#2
+ { \__nmc_table_header_nudge:Nnn r { #1 } { #2 } }
+
+\cs_new:Npn \__nmc_table_headeri:
+ {
+ \tl_if_empty:NT \l__nmc_table_chead_tl
+ {
+ \tl_set:Nx \l__nmc_table_chead_tl
+ {
+ \__nmc_table_header_nudge:Nnn c
+ {
+ \bool_if:NTF \l__nmc_table_ctitle_bool
+ { \exp_not:o \l__nmc_table_ctitle_tl }
+ { \exp_not:o \l__nmc_formula_dup_tl }
+ }
+ \l__nmc_table_chnudge_tl
+ }
+ }
+ }
+\cs_new:Npn \__nmc_table_headern:
+ {
+ \tl_if_empty:NT \l__nmc_table_chead_tl
+ {
+ \seq_clear:N \l_tmpa_seq
+ \bool_set_true:N \l__nmc_table_coli_only_bool
+ \bool_if:NTF \l__nmc_table_clist_bool
+ {
+ \seq_map_inline:Nn \l__nmc_table_header_seq
+ { \__nmc_table_header_auxi:Nn \l_tmpa_seq { ##1 } }
+ }
+ {
+ \seq_map_inline:Nn \l__nmc_table_header_seq
+ {
+ \__nmc_num_format:nNnN { ##1 } \l_tmpb_tl
+ { \l__nmc_table_chround_int } \l__nmc_sci_num_out_bool
+ \__nmc_table_chstyler:NN \l_tmpa_seq \l_tmpb_tl
+ }
+ }
+ \tl_set:Nx \l__nmc_table_chead_tl { \seq_use:Nn \l_tmpa_seq { & } }
+ }
+ }
+\cs_new_protected:Npn \__nmc_table_chstyler:NN #1 #2
+ {
+ \int_case:nnF { \l__nmc_table_chstyle_int }
+ {
+ { 0 } { \__nmc_table_header_auxi:NV #1 #2 }
+ { 1 }
+ {
+ \bool_if:NTF \l__nmc_table_coli_only_bool
+ {
+ \__nmc_table_header_auxi:Nx #1 { \l__nmc_table_cvar_tl = #2 }
+ \bool_set_false:N \l__nmc_table_coli_only_bool
+ }
+ { \seq_put_right:NV #1 #2 }
+ }
+ { 2 } { \__nmc_table_header_auxi:Nx #1 { \l__nmc_table_cvar_tl = #2 } }
+ { 3 } { \__nmc_table_header_auxiii:NV #1 #2 }
+ { 4 } { \seq_set_split:NnV #1 { & } \l__nmc_table_chead_tl }
+ }
+ { \__nmc_table_header_auxi:NV #1 #2 }
+ }
+\cs_new_protected:Npn \__nmc_table_header_auxi:Nn #1#2
+ {
+ \seq_put_right:Nx #1 { \__nmc_table_header_nudge:Nnn c
+ { \exp_not:n { #2 } } \l__nmc_table_chnudge_tl }
+ }
+\cs_generate_variant:Nn \__nmc_table_header_auxi:Nn { NV,Nx }
+
+\cs_new_protected:Npn \__nmc_table_header_auxiii:Nn #1#2
+ {
+ \tl_set_eq:NN \l_tmpa_tl \l__nmc_formula_dup_tl
+ \regex_replace_all:nnNT { \u{l__nmc_table_cvar_tl} } { #2 } \l_tmpa_tl
+ { \__nmc_table_header_auxi:NV #1 \l_tmpa_tl }
+ }
+\cs_generate_variant:Nn \__nmc_table_header_auxiii:Nn { NV }
+
+\cs_new:Npn \__nmc_table_header_nudge:Nnn #1#2#3
+ { % #1=r(ow)/c(ol), #2=var, #3=nudge
+ \tl_if_eq:cNTF { l__nmc_table_ #1 calign_tl } \c__nmc_r_tl
+ { $ #2 #3 $ }
+ {
+ \tl_if_eq:cNTF { l__nmc_table_ #1 calign_tl } \c__nmc_l_tl
+ { $ #3 #2 $ } { $ #2 $ }
+ }
+ }
+%%%%%%%%%%
+\cs_new_protected:Npn \__nmc_table_form_body:N #1
+ { % #1 \l_nmc_result_tl
+ \int_if_zero:nF { \l__nmc_table_rpos_int }
+ {
+ \__nmc_table_form_rvcol:NN
+ \l__nmc_table_rvraw_seq \l__nmc_table_rvcol_seq
+ }
+ \int_zero:N \l__nmc_table_rbloc_int
+ \int_if_zero:nTF { \l__nmc_table_cnum_int }
+ { \__nmc_table_form_body_rvcol_only:N #1 }
+ { \__nmc_table_form_body_cvcols:N #1 }
+ }
+\cs_new_protected:Npn \__nmc_table_form_rvcol:NN #1#2
+ {
+ \seq_clear:N \l_tmpb_seq
+ \seq_map_variable:NNn #1 \l_tmpa_tl
+ {
+ \__nmc_num_format:nNnN \l_tmpa_tl \l_tmpb_tl
+ { \l__nmc_table_rround_int } \c_false_bool
+ \seq_put_right:Nx \l_tmpb_seq
+ { \exp_not:o \l__nmc_table_rfont_tl { \l_tmpb_tl } }
+ }
+ \seq_set_eq:NN #2 \l_tmpb_seq
+ \int_compare:nNnTF { \l__nmc_table_rpos_int } > { 3 }
+ { \__nmc_table_form_rvcoli:NN #1 #2 } % reverse/pivot
+ { \seq_set_eq:NN \l__nmc_table_rvcoli_seq #2 }
+ }
+\cs_new_protected:Npn \__nmc_table_form_rvcoli:NN #1 #2
+ {
+ \seq_clear:N \l__nmc_table_rvcoli_seq
+ \seq_map_variable:NNn #1 \l_tmpa_tl
+ {
+ \__nmc_calc_fn_val:VNnN \l__nmc_table_rvar_tl
+ \l__nmc_table_rvari_tl \l_tmpa_tl \l_tmpa_fp
+ \__nmc_num_format:nNnN { \l_tmpa_fp } \l_tmpb_tl
+ { \l__nmc_table_rround_int } \c_false_bool
+ \seq_put_right:Nx \l__nmc_table_rvcoli_seq
+ { \exp_not:o \l__nmc_table_rfont_tl { \l_tmpb_tl } }
+ }
+ }
+\cs_new_protected:Npn \__nmc_table_form_body_rvcol_only:N #1
+ { % #1 = \l_nmc_result_tl
+ \seq_clear:N \l_tmpb_seq
+ \seq_map_variable:NNn \l__nmc_table_rvcol_seq \l_tmpa_tl
+ {
+ \tl_put_right:Nx #1
+ { \exp_not:o \l_tmpa_tl \tabularnewline }
+ \__nmc_table_rbloc_spc:NN \l__nmc_table_rbloc_int \l_tmpa_bool
+ \bool_if:NT \l_tmpa_bool
+ {
+ \tl_put_right:Nx #1
+ { \exp_not:o \addlinespace[\l__nmc_table_blocsep_tl] }
+ }
+ }
+ }
+\cs_new_protected:Npn \__nmc_table_form_body_cvcols:N #1
+ { % #1 \l_nmc_result_tl
+ \seq_clear:N \l_tmpd_seq
+ \seq_map_variable:NNn \l__nmc_table_body_cols_seq \l_tmpa_seq
+ {
+ \seq_clear:N \l_tmpb_seq
+ \__nmc_table_form_cols:NN \l_tmpa_seq \l_tmpb_seq
+ \seq_put_right:NV \l_tmpd_seq \l_tmpb_seq
+ }
+ \bool_if:NT \l__nmc_table_footops_bool
+ { \__nmc_table_footops:N \l_tmpd_seq }
+ \__nmc_table_transpose:NN \l_tmpd_seq \l__nmc_table_body_rows_seq
+
+ \seq_map_variable:NNn \l__nmc_table_body_rows_seq \l_tmpa_seq
+ {
+ \__nmc_table_rbloc_spc:NN \l__nmc_table_rbloc_int \l_tmpa_bool
+ \tl_put_right:Nx #1
+ {
+ \seq_use:Nn \l_tmpa_seq { & }
+ \tabularnewline
+ \bool_if:NT \l_tmpa_bool
+ { \exp_not:o \addlinespace[\l__nmc_table_blocsep_tl] }
+ }
+ }
+ }
+\cs_new_protected:Npn \__nmc_table_footops:N #1
+ {
+ \group_begin:
+ \seq_clear:N \l_tmpb_seq
+ \seq_set_split:NnV \l_tmpa_seq { & } \l__nmc_table_footer_tl
+ \int_if_odd:nT { \l__nmc_table_rpos_int }
+ {
+ \seq_pop:NN \l_tmpa_seq \l_tmpa_tl
+ \seq_put_left:NV \l_tmpb_seq \l_tmpa_tl
+ }
+ \seq_mapthread_function:NNN #1 \l_tmpa_seq \__nmc_table_footops:nn
+ \int_compare:nNnT { \l__nmc_table_rpos_int } > { 1 }
+ {
+ \seq_pop:NN \l_tmpa_seq \l_tmpa_tl
+ \seq_put_right:NV \l_tmpb_seq \l_tmpa_tl
+ }
+ \tl_set:Nx \l__nmc_table_footer_tl { \seq_use:Nn \l_tmpb_seq { & } }
+ \exp_args:NNNV
+ \group_end:
+ \tl_set:Nn \l__nmc_table_footer_tl \l__nmc_table_footer_tl
+ }
+\cs_new_protected:Npn \__nmc_table_footops:nn #1#2
+ {
+ \tl_set:Nn \l_tmpc_seq { #1 }
+ \tl_set:Nx \l_tmpa_tl { \seq_use:Nn \l_tmpc_seq { + } }
+ \fp_set:Nn \l_tmpa_fp { \l_tmpa_tl }
+ \fp_set:Nn \l_tmpb_fp { \l_tmpa_fp / \l__nmc_table_rnum_int }
+ \__nmc_num_format:nNnN \l_tmpa_fp \l__nmc_table_csum_tl
+ { \l__nmc_round_int } \l__nmc_sci_num_out_bool
+ \__nmc_num_format:nNnN \l_tmpb_fp \l__nmc_table_cave_tl
+ { \l__nmc_round_int } \l__nmc_sci_num_out_bool
+ \tl_set:Nx \l_tmpa_tl { max(\seq_use:Nn \l_tmpc_seq { , }) }
+ \fp_set:Nn \l_tmpa_fp { \l_tmpa_tl }
+ \__nmc_num_format:nNnN \l_tmpa_fp \l__nmc_table_cmax_tl
+ { \l__nmc_round_int } \l__nmc_sci_num_out_bool
+ \tl_set:Nx \l_tmpa_tl { min(\seq_use:Nn \l_tmpc_seq { , }) }
+ \fp_set:Nn \l_tmpb_fp { \l_tmpa_tl }
+ \__nmc_num_format:nNnN \l_tmpb_fp \l__nmc_table_cmin_tl
+ { \l__nmc_round_int } \l__nmc_sci_num_out_bool
+ \__nmc_num_format:nNnN { \l_tmpa_fp - \l_tmpb_fp } \l__nmc_table_cdel_tl
+ { \l__nmc_round_int } \l__nmc_sci_num_out_bool
+ \seq_put_right:Nx \l_tmpb_seq { $ #2 $ }
+ }
+\cs_new_protected:Npn \__nmc_table_transpose:NN #1#2
+ { % #1 seq of seq in #2 seq of seq out
+ \int_if_zero:nF { \l__nmc_table_rpos_int }
+ {
+ \int_compare:nNnF { \l__nmc_table_rpos_int } = { 2 }
+ { \seq_put_left:NV #1 \l__nmc_table_rvcol_seq }
+ \int_compare:nNnT { \l__nmc_table_rpos_int } > { 1 }
+ { \seq_put_right:NV #1 \l__nmc_table_rvcoli_seq }
+ }
+ \int_step_inline:nn { \l__nmc_table_rnum_int }
+ {
+ \seq_clear:N \l_tmpb_seq
+ \seq_clear:N \l_tmpc_seq
+ \seq_map_variable:NNn #1 \l_tmpa_seq
+ {
+ \seq_pop:NN \l_tmpa_seq \l_tmpa_tl
+ \seq_put_right:Nx \l_tmpb_seq { $\exp_not:o\l_tmpa_tl $ }
+ \seq_put_right:NV \l_tmpc_seq \l_tmpa_seq
+ }
+ \seq_put_right:NV \l__nmc_table_body_rows_seq \l_tmpb_seq
+ \seq_set_eq:NN #1 \l_tmpc_seq
+ }
+ }
+\cs_new:Npn \__nmc_table_rbloc_spc:NN #1#2
+ { %
+ \int_incr:N #1
+ \bool_set_false:N #2
+ \int_compare:nNnT { #1 } = { \l__nmc_table_rblock_tl }
+ {
+ \int_compare:nNnF { #1 } = { \l__nmc_table_rnum_int }
+ { \bool_set_true:N #2 }
+ \clist_if_empty:NF \l__nmc_table_rbloc_clist
+ { \clist_pop:NN \l__nmc_table_rbloc_clist \l__nmc_table_rbloc_tl }
+ \tl_set:Nx \l__nmc_table_rblock_tl
+ { \int_eval:n { \l__nmc_table_rblock_tl + \l__nmc_table_rbloc_tl } }
+ }
+ }
+\cs_new_protected:Npn \__nmc_table_form_cols:NN #1#2
+ { % #1 raw cseq, #2 <--formatted cseq
+ \int_case:nnF { \l__nmc_table_rnum_int }
+ {
+ { 0 } { \prg_do_nothing: }
+ { 1 } { \__nmc_table_form_cols_ri:NN #1#2 }
+ { 2 } { \__nmc_table_form_cols_rii:NN #1#2 }
+ }
+ { \__nmc_table_form_cols_riii:NN #1#2 }
+ }
+\cs_new_protected:Npn \__nmc_table_form_cols_ri:NN #1#2
+ {
+ \seq_pop:NN #1 \l_tmpb_fp
+ \__nmc_num_format:nNnN \l_tmpb_fp \l_tmpb_tl
+ { \l__nmc_round_int } \l__nmc_sci_num_table_bool
+ \bool_if:NT \l__nmc_table_QA_bool
+ { \__nmc_table_QA:N \l_tmpb_tl }
+ \seq_put_right:Nx #2 { \exp_not:o \l_tmpb_tl }
+ }
+\cs_new_protected:Npn \__nmc_table_form_cols_rii:NN #1#2
+ {
+ \__nmc_table_form_cols_rii_aux:NN #1#2
+ \__nmc_table_signs:
+ \__nmc_num_format:nNnN \l_tmpb_fp \l_tmpb_tl
+ { \l__nmc_round_int } \l__nmc_sci_num_out_bool
+ \__nmc_table_num_format:N \l_tmpb_tl
+ \seq_put_right:Nx #2
+ { \exp_not:o \l_tmpb_tl \exp_not:o \l__nmc_table_diff_tl }
+ }
+\cs_new_protected:Npn \__nmc_table_form_cols_rii_aux:NN #1#2
+ {
+ \seq_pop:NN #1 \l_tmpb_fp
+ \int_if_zero:nF \l__nmc_table_diffs_int
+ { \__nmc_table_form_diffs_null:n { \l__nmc_table_diffs_int } }
+ \seq_pop:NN #1 \l_tmpa_fp
+ \int_set:Nn \l__nmc_table_c_int { 1 }
+ \int_set:Nn \l__nmc_table_b_int { \fp_sign:n { \l_tmpb_fp } }
+ \int_set:Nn \l__nmc_table_a_int { \fp_sign:n { \l_tmpa_fp } }
+ \__nmc_table_signs:
+ \__nmc_num_format:nNnN \l_tmpb_fp \l_tmpb_tl
+ { \l__nmc_round_int } \l__nmc_sci_num_out_bool
+ \__nmc_table_num_format:N \l_tmpb_tl
+ \seq_put_right:Nx #2
+ { \exp_not:o \l_tmpb_tl \exp_not:o \l__nmc_table_diff_tl }
+ \int_if_zero:nF \l__nmc_table_diffs_int
+ { \__nmc_table_calc_diffs:nn
+ { \l_tmpb_fp } { \l_tmpa_fp } }
+ \fp_set_eq:NN \l_tmpb_fp \l_tmpa_fp
+ }
+\cs_new_protected:Npn \__nmc_table_form_cols_riii:NN #1#2
+ {
+ \__nmc_table_form_cols_rii_aux:NN #1#2
+ \int_set_eq:NN \l__nmc_table_c_int \l__nmc_table_b_int
+ \int_set_eq:NN \l__nmc_table_b_int \l__nmc_table_a_int
+ \seq_map_variable:NNn #1 \l_tmpa_fp
+ {
+ \int_set:Nn \l__nmc_table_a_int { \fp_sign:n { \l_tmpa_fp } }
+ \__nmc_table_signs:
+ \__nmc_num_format:nNnN \l_tmpb_fp \l_tmpb_tl
+ { \l__nmc_round_int } \l__nmc_sci_num_out_bool
+ \__nmc_table_num_format:N \l_tmpb_tl
+ \seq_put_right:Nx #2
+ { \exp_not:o \l_tmpb_tl \exp_not:o \l__nmc_table_diff_tl }
+ \int_if_zero:nF \l__nmc_table_diffs_int
+ { \__nmc_table_calc_diffs:nn { \l_tmpb_fp } { \l_tmpa_fp } }
+ \fp_set_eq:NN \l_tmpb_fp \l_tmpa_fp
+ \int_set_eq:NN \l__nmc_table_c_int \l__nmc_table_b_int
+ \int_set_eq:NN \l__nmc_table_b_int \l__nmc_table_a_int
+ }
+ \int_set:Nn \l__nmc_table_a_int { 1 }
+ \__nmc_table_signs:
+ \__nmc_num_format:nNnN \l_tmpb_fp \l_tmpb_tl
+ { \l__nmc_round_int } \l__nmc_sci_num_out_bool
+ \__nmc_table_num_format:N \l_tmpb_tl
+ \seq_put_right:Nx #2
+ { \exp_not:o \l_tmpb_tl \exp_not:o \l__nmc_table_diff_tl }
+ }
+\cs_new_protected:Npn \__nmc_table_num_format:N #1
+ {
+ \bool_if:NTF \l__nmc_sci_num_table_bool
+ {
+ \tl_if_head_eq_charcode:VNTF #1 (
+ { % for nums in [1,10)
+ \exp_last_unbraced:NV
+ \__nmc_table_t_format:wN #1\q_stop \l_tmpa_tl
+ \tl_set_eq:NN #1 \l_tmpa_tl
+ }
+ { \tl_set:Nx #1 { \__nmc_sci_num_table:n { #1 } } }
+ }
+ { \tl_set:Nx #1 { \__nmc_sci_num_table:n { #1 } } }
+ \bool_if:NT \l__nmc_table_QA_bool
+ { \__nmc_table_QA:N #1 }
+ }
+\cs_new_protected:Npn \__nmc_table_QA:N #1
+ {
+ \fp_compare:nNnT { \l__nmc_table_Q_tl } = { 1 }
+ {
+ \bool_lazy_and:nnT
+ { \l__nmc_num_only_bool } { !\l__nmc_table_num_only_bool }
+ {
+ \tl_set_eq:NN \l__nmc_table_num_only_tl \l_tmpb_tl
+ \bool_set_true:N \l__nmc_table_num_only_bool
+ }
+ \tl_set:Nx #1 { \l__nmc_table_A_tl }
+ }
+ }
+\cs_new_protected:Npn \__nmc_table_t_format:wN (#1)#2#3\q_stop #4
+ {
+ \tl_set:Nn \l__nmc_toss_tl { #1 }
+ \__nmc_table_prepad:Nnn \l__nmc_toss_tl
+ { \l__nmc_table_tsigns_int } { \exp_not:o \hphantom{-} }
+ \tl_set:Nx #4 { \__nmc_sci_num_table_plus:nn
+ { #3 } { \exp_not:o\l__nmc_toss_tl } }
+ }
+\cs_new_protected:Npn \__nmc_table_signs:
+ { % A prev, B current, C next
+ \int_compare:nNnTF \l__nmc_table_b_int > { -1 }
+ {
+ \bool_lazy_or:nnTF
+ { \int_compare_p:nNn \l__nmc_table_a_int = { -1 } }
+ { \int_compare_p:nNn \l__nmc_table_c_int = { -1 } }
+ { \bool_set_true:N \l__nmc_table_signs_bool }
+ { \bool_set_false:N \l__nmc_table_signs_bool }
+ }
+ { \bool_set_false:N \l__nmc_table_signs_bool }
+ }
+%%%%%%%%%%
+\cs_new_protected:Npn \__nmc_table_calc_diffs:nn #1#2
+ {
+ \__nmc_num_format:nNnN
+ { \fp_abs:n {round( #1,\l__nmc_round_int )
+ - round( #2, \l__nmc_round_int) } } \l_tmpb_tl
+ { \l__nmc_round_int } \c_false_bool
+ \tl_set:Nx \l_tmpb_tl { \fp_eval:n { round( 10^{ \l__nmc_round_int }
+ * \l_tmpb_tl, \l__nmc_round_int + 1) } }
+ \__nmc_table_prepad:Nnn \l_tmpb_tl { \l__nmc_table_diffs_int } { 0 }
+ \tl_set:Nx \l__nmc_table_diff_tl { ^{\,^{ \l_tmpb_tl } } }
+ }
+\cs_new_protected:Npn \__nmc_table_form_diffs_null:n #1
+ {
+ \tl_set:Nn \l_tmpb_tl { 0 }
+ \__nmc_table_prepad:Nnn \l_tmpb_tl { #1 } { 0 }
+ \tl_set:Nx \l__nmc_table_diff_tl
+ { ^{\,^{ \exp_not:o \hphantom{ \l_tmpb_tl } } } }
+ }
+%%%%%%%%%%%%%%%%%%%
+\cs_new:Npn \__nmc_table_form_lower:
+ {
+ \tl_if_empty:NF \l__nmc_table_footer_tl
+ {
+ \__nmc_if_mod_zero:nnT { \l__nmc_table_rules_int } { 7 }
+ { \exp_not:N \midrule[\cmidrulewidth] }
+ \exp_not:o \l__nmc_table_footer_tl \tabularnewline
+ }
+ \__nmc_if_mod_zero:nnT { \l__nmc_table_rules_int } { 11 }
+ { \exp_not:N \bottomrule }
+ \exp_not:n { \end{tabular} }
+ }
+%%%%%%%%%%%%%%%%%%%
+\cs_new_protected:Npn \__nmc_table_reuse:
+ {
+ \bool_if:NF \l__nmc_num_only_bool
+ {
+ \int_case:nnF { \int_sign:n { \l__nmc_table_reuse_int } }
+ {
+ { -1 } { \__nmc_table_reuse_row:n { \l__nmc_table_reuse_int } }
+
+ { 1 } { \__nmc_table_reuse_col:n { \l__nmc_table_reuse_int } }
+ }
+ { \tl_gset_eq:NN \g__nmc_reuse_tl \l_nmc_result_tl }
+ }
+ }
+\cs_new_protected:Npn \__nmc_table_reuse_row:n #1
+ {
+ \tl_set:Nx \l_tmpa_seq
+ { \seq_item:Nn \l__nmc_table_body_rows_seq { -#1 } }
+ \tl_gset:Nx \g__nmc_reuse_tl { \seq_use:Nn \l_tmpa_seq { , } }
+ }
+\cs_new_protected:Npn \__nmc_table_reuse_col:n #1
+ {
+ \int_zero:N \l_tmpa_int
+ \seq_map_variable:NNn \l__nmc_table_body_cols_seq \l_tmpa_seq
+ {
+ \int_incr:N \l_tmpa_int
+ \int_compare:nNnT { \l_tmpa_int } = { #1 }
+ {
+ \seq_mapthread_function:NNN \l__nmc_table_rvraw_seq
+ \l_tmpa_seq \__nmc_table_reuse:nn
+ \seq_map_break:
+ }
+ }
+ }
+\cs_new_protected:Npn \__nmc_table_reuse:nn #1#2
+ {
+ \__nmc_num_format:nNnN { #1 } \l_tmpa_tl
+ { \l__nmc_table_rround_int } \c_false_bool
+ \__nmc_num_format:nNnN { #2 } \l_tmpb_tl
+ { \l__nmc_round_int } \l__nmc_sci_num_out_bool
+ \int_if_zero:nTF \l__nmc_table_rpos_int
+ { \seq_put_right:NV \l_nmc_table_reuse_seq \l_tmpb_tl }
+ {
+ \seq_put_right:Nx \l_nmc_table_reuse_seq
+ { { \l_tmpa_tl , \l_tmpb_tl } }
+ }
+ \tl_gset:Nx \g__nmc_reuse_tl { \seq_use:Nn \l_nmc_table_reuse_seq {,} }
+ }
+%------------------------------------------------
+\keys_define:nn { numerica }
+ {
+ table-rvar-rounding .int_set:N = \l__nmc_table_rround_int,
+ table-rvar-col-pos .int_set:N = \l__nmc_table_rpos_int,
+ table-rvar-align .tl_set:N = \l__nmc_table_rcalign_tl,
+ table-cvar-align .tl_set:N = \l__nmc_table_ccalign_tl,
+ table-block-sep .tl_set:N = \l__nmc_table_blocsep_tl,
+ table-rules .tl_set:N = \l__nmc_table_rules_tl,
+ table-form-diffs .int_set:N = \l__nmc_table_diffs_int,
+ table-reuse .int_set:N = \l__nmc_table_reuse_int,
+ table-rvar-rounding .default:n = 1,
+ table-rvar-align .default:n = r,
+ table-rvar-col-pos .default:n = 1,
+ table-cvar-align .default:n = r,
+ table-block-sep .default:n = 1ex,
+ table-rules .default:n = ThB,
+ table-form-diffs .default:n = 0,
+ table-reuse .default:n = 0
+ }
+\keys_set_known:nn { numerica }
+ {
+ table-rvar-rounding,table-rvar-align,table-rvar-col-pos,
+ table-cvar-align,table-block-sep,table-rules,table-fontsize,
+ table-form-diffs,table-reuse
+ }
+\keys_define:nn { numerica/table }
+ {
+ rvar .tl_set:N = \l__nmc_table_rvar_tl,
+ rstop .tl_set:N = \l__nmc_table_rstop_tl,
+ rstep .tl_set:N = \l__nmc_table_rstep_tl,
+ rows .int_set:N = \l__nmc_table_rnum_int,
+ rows .initial:n = -1,
+ rspec .clist_set:N = \l__nmc_table_rspec_clist,
+ rround .int_set:N = \l__nmc_table_rround_int,
+ rfont .code:n = \tl_set:Nn \l__nmc_table_rfont_tl
+ { \use:c { math#1 } },
+ ralign .tl_set:N = \l__nmc_table_rcalign_tl,
+ rhead .tl_set:N = \l__nmc_table_rhead_tl,
+ rhnudge .code:n = \tl_set:Nn \l__nmc_table_rhnudge_tl
+ { \mkern #1 mu },
+ rpos .int_set:N = \l__nmc_table_rpos_int,
+ rvar' .tl_set:N = \l__nmc_table_rvari_tl,
+ rhead' .tl_set:N = \l__nmc_table_rheadi_tl,
+ rhnudge' .code:n = \tl_set:Nn \l__nmc_table_rhnudgei_tl
+ { \mkern #1 mu },
+%
+ cvar .tl_set:N = \l__nmc_table_cvar_tl,
+ cstop .tl_set:N = \l__nmc_table_cstop_tl,
+ cstep .tl_set:N = \l__nmc_table_cstep_tl,
+ cols .int_set:N = \l__nmc_table_cnum_int,
+ cols .initial:n = -1,
+ cspec .clist_set:N = \l__nmc_table_cspec_clist,
+ calign .tl_set:N = \l__nmc_table_ccalign_tl,
+ chstyle .int_set:N = \l__nmc_table_chstyle_int,
+ chnudge .code:n = \tl_set:Nn \l__nmc_table_chnudge_tl
+ { \mkern #1 mu },
+ chead .tl_set:N = \l__nmc_table_chead_tl,
+ chround .int_set:N = \l__nmc_table_chround_int,
+%
+ ctitle .tl_set:N = \l__nmc_table_ctitle_tl,
+ rules .tl_set:N = \l__nmc_table_rules_tl,
+ foot .tl_set:N = \l__nmc_table_footer_tl,
+ rbloc .clist_set:N = \l__nmc_table_rbloc_clist,
+ rblocsep .tl_set:N = \l__nmc_table_blocsep_tl,
+ signs .int_set:N = \l__nmc_table_signs_int,
+ (pad) .int_set:N = \l__nmc_table_tsigns_int,
+ diffs .int_set:N = \l__nmc_table_diffs_int,
+%
+ Q? .tl_set:N = \l__nmc_table_Q_tl,
+ A! .tl_set:N = \l__nmc_table_A_tl,
+ reuse .int_set:N = \l__nmc_table_reuse_int,
+ valign .code:n = \tl_set:Nn \l__nmc_table_valign_tl { [#1] },
+ }
+% end of `numerica-tables.def' \ No newline at end of file
diff --git a/Master/texmf-dist/tex/latex/numerica/numerica.sty b/Master/texmf-dist/tex/latex/numerica/numerica.sty
new file mode 100644
index 00000000000..1f1be433427
--- /dev/null
+++ b/Master/texmf-dist/tex/latex/numerica/numerica.sty
@@ -0,0 +1,2692 @@
+% This is file `numerica.sty',
+% the base of the `numerica' package.
+%
+% This work may be distributed and/or modified under the conditions
+% of the LaTeX Project Public License, either version 1.3c of this
+% license or any later version; see
+% http://www.latex-project.org/lppl.txt
+%
+% Andrew Parsloe (ajparsloe@gmail.com)
+%
+\RequirePackage{expl3}[2017/07/15]
+\RequirePackage{xparse,l3keys2e}
+\RequirePackage{amsmath,mathtools}
+
+\ProvidesExplPackage
+ {numerica}
+ {2021/02/15}
+ {1.0.0}
+ {Evaluate math expressions in the LaTeX form they are typeset}
+%------------------------------------------------
+\cs_if_free:NT \arccsc { \DeclareMathOperator{\arccsc}{arccsc} }
+\cs_if_free:NT \arcsec { \DeclareMathOperator{\arcsec}{arcsec} }
+\cs_if_free:NT \arccot { \DeclareMathOperator{\arccot}{arccot} }
+\cs_if_free:NT \csch { \DeclareMathOperator{\csch}{csch} }
+\cs_if_free:NT \sech { \DeclareMathOperator{\sech}{sech} }
+\cs_if_free:NT \asinh { \DeclareMathOperator{\asinh}{asinh} }
+\cs_if_free:NT \acosh { \DeclareMathOperator{\acosh}{acosh} }
+\cs_if_free:NT \atanh { \DeclareMathOperator{\atanh}{atanh} }
+\cs_if_free:NT \acsch { \DeclareMathOperator{\acsch}{acsch} }
+\cs_if_free:NT \asech { \DeclareMathOperator{\asech}{asech} }
+\cs_if_free:NT \acoth { \DeclareMathOperator{\acoth}{acoth} }
+\cs_if_free:NT \sgn { \DeclareMathOperator{\sgn}{sgn} }
+\cs_if_free:NT \lb { \DeclareMathOperator{\lb}{lb} }
+% mathtools
+\cs_if_free:NT \abs {\DeclarePairedDelimiter{\abs}{\lvert}{\rvert} }
+\cs_if_free:NT \ceil { \DeclarePairedDelimiter{\ceil}{\lceil}{\rceil} }
+\cs_if_free:NT \floor { \DeclarePairedDelimiter{\floor}{\lfloor}{\rfloor} }
+\RenewDocumentCommand \land {} { \,\wedge\, }
+\RenewDocumentCommand \lor {} { \,\vee\, }
+% Qleave apart; qleave to
+\NewDocumentCommand \Q {} { \prg_do_nothing: }
+\NewDocumentCommand \q {} { \prg_do_nothing: }
+\prg_new_conditional:Npnn \int_if_zero:n #1 { p,T,F,TF }
+ {
+ \int_compare:nNnTF { #1 } = { 0 }
+ { \prg_return_true: }
+ { \prg_return_false: }
+ }
+\prg_new_conditional:Npnn \__nmc_if_mod_zero:nn #1#2 { p,T,F,TF }
+ {
+ \bool_if:nTF
+ {
+ !\int_compare_p:nNn { #1 } = { 0 } &&
+ \int_compare_p:nNn { \int_mod:nn { #1 } { #2 } } = { 0 }
+ }
+ { \prg_return_true: }
+ { \prg_return_false: }
+ }
+% constants
+\tl_const:Nn \c__nmc_digits_tl { 123456789 }
+\tl_const:Nn \c__nmc_decimals_tl { 1234567890. }
+\tl_const:Nn \c__nmc_sdigits_tl { -1234567890 }
+\tl_const:Nn \c__nmc_comparisons_tl { <=> }
+\tl_const:Nn \c__nmc_modds_tl { |./ }
+\int_const:Nn \c__nmc_and_int { 0 }
+\int_const:Nn \c__nmc_cmp_int { 1 }
+\int_const:Nn \c__nmc_sum_int { 2 }
+\int_const:Nn \c__nmc_trg_int { 3 }
+\int_const:Nn \c__nmc_uny_int { 4 }
+\int_const:Nn \c__nmc_prn_int { 5 }
+\int_const:Nn \c__nmc_srd_int { 6 }
+\seq_const_from_clist:Nn \c__nmc_T_out_seq { 1,T,\texttt{T} }
+\seq_const_from_clist:Nn \c__nmc_F_out_seq { 0,F,\texttt{F} }
+\int_new:N \l__nmc_trg_int
+\int_new:N \l__nmc_num_sgn_int
+\tl_new:N \l__nmc_toss_tl
+\seq_new:N \l_tmpc_seq
+%-----------------------------------------------------------
+% processing and substitution property lists
+% #1 clist of keys; #2 tl of values
+\cs_new_protected:Npn \__nmc_fill_class:nn #1#2
+ {
+ \clist_map_inline:nn { #1 }
+ { \prop_gput:Nnn \g__nmc_class_prop { ##1 } { #2 } }
+ }
+% math token classes
+\prop_new:N \g__nmc_class_prop
+% decimals
+\__nmc_fill_class:nn { 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, . }
+ { \__nmc_fpify_dec: \__nmc_delim_dec: }
+% constants
+\__nmc_fill_class:nn { e, \pi, \gamma, \phi, \deg, \infty }
+ { \__nmc_fpify_const: \__nmc_delim_const: }
+% plus minus
+\__nmc_fill_class:nn { +, - }
+ { \__nmc_fpify_arith: \__nmc_delim_pm: }
+% arith.
+\prop_put:Nnn \g__nmc_class_prop { * }
+ { \__nmc_fpify_arith: \__nmc_delim_arith: }
+% slash
+\prop_put:Nnn \g__nmc_class_prop { / }
+ { \__nmc_fpify_slash: \__nmc_delim_arith: }
+% arith. alternatives
+\__nmc_fill_class:nn { \times, \cdot, \div }
+ { \__nmc_fpify_arith_alt: \__nmc_delim_arith: }
+% comparisons
+\__nmc_fill_class:nn
+ {
+ =, <, >,
+ \ne, \neq, \nless, \ngtr,
+ \ge, \geq, \geqq, \geqslant,
+ \le, \leq, \leqq, \leqslant,
+ \ngeq, \ngeqq, \ngeqslant,
+ \nleq, \nleqq, \nleqslant,
+ }
+ { \__nmc_fpify_comparison: \__nmc_delim_comparison: }
+% and or
+\__nmc_fill_class:nn { \wedge, \land, \vee, \lor }
+ { \__nmc_fpify_andor: \__nmc_delim_andor: }
+% lparen
+\__nmc_fill_class:nn { (, [, \{, \lparen, \lbrack, \lbrace }
+ { \__nmc_fpify_lparen: \__nmc_delim_lparen: }
+% lvert etc.
+\__nmc_fill_class:nn { |, \lvert, \lfloor, \lceil }
+ { \__nmc_fpify_lvert: \__nmc_delim_lvert: }
+% lmodifiers
+\__nmc_fill_class:nn { \left, \bigl, \Bigl, \biggl, \Biggl }
+ { \__nmc_fpify_lmod: \__nmc_delim_lmod: }
+% rmodifiers
+\__nmc_fill_class:nn { \right, \bigr, \Bigr, \biggr, \Biggr }
+ { \prg_do_nothing: \__nmc_delim_rparen: }
+% trig, hyper, other unary fns
+\__nmc_fill_class:nn { \sin, \cos, \tan, \csc, \sec, \cot }
+ {
+ { \__nmc_fpify_unary:n { \l__nmc_trg_int } }
+ { \__nmc_delim_unary:n { \l__nmc_trg_int } }
+ }
+\__nmc_fill_class:nn
+ {
+ \arcsin, \arccos, \arctan, \arccsc, \arcsec, \arccot,
+ \sinh, \cosh, \tanh, \csch, \sech, \coth,
+ \asinh, \acosh, \atanh, \acsch, \asech, \acoth,
+ \exp, \ln, \lg, \lb, \sgn
+ }
+ {
+ { \__nmc_fpify_unary:n { \c__nmc_uny_int } }
+ { \__nmc_delim_unary:n { \c__nmc_uny_int } }
+ }
+% power
+\prop_put:Nnn \g__nmc_class_prop { ^ }
+ { \__nmc_fpify_power: \__nmc_delim_power: }
+% (d)frac
+\__nmc_fill_class:nn { \frac, \dfrac }
+ { \__nmc_fpify_frac: \__nmc_delim_frac: }
+% tfrac
+\prop_put:Nnn \g__nmc_class_prop { \tfrac }
+ { \__nmc_fpify_frac: \__nmc_delim_tfrac: }
+% binom
+\__nmc_fill_class:nn { \tbinom, \binom, \dbinom }
+ { \__nmc_fpify_binom: \__nmc_delim_frac: }
+% unary with braced arg
+\__nmc_fill_class:nn { \sqrt, \abs, \floor, \ceil }
+ { \__nmc_fpify_unarybrace: \__nmc_delim_unarybrace: }
+% unary subscripted
+\prop_put:Nnn \g__nmc_class_prop { \log }
+ { \__nmc_fpify_unarysub: \__nmc_delim_log: }
+% surd, not
+\__nmc_fill_class:nn { \surd, \neg, \lnot }
+ { \__nmc_fpify_surd: \__nmc_delim_surd: }
+% factorial
+\prop_put:Nnn \g__nmc_class_prop { ! }
+ { \__nmc_fpify_fact: \__nmc_delim_fact: }
+% cleave
+\__nmc_fill_class:nn { \q, \Q }
+ { \prg_do_nothing: \__nmc_delim_qleave: }
+% n-ary
+\__nmc_fill_class:nn { \min, \max, \gcd }
+ { \__nmc_fpify_nary: \__nmc_delim_nary: }
+% comma (n-ary fns)
+\prop_put:Nnn \g__nmc_class_prop { , }
+ { \__nmc_fpify_comma: \__nmc_delim_comma: }
+% absorb
+\__nmc_fill_class:nn
+ {
+ {{}}, \\, &, \to, \q_nil,
+ \dots, \ldots, \cdots,
+ \ , \,, \;, \:, \!, \>,
+ \thinspace, \quad, \qquad , \hfill, \hfil,
+ \mathstrut, \displaystyle, \textstyle,
+ \scriptstyle, \scriptscriptstyle
+ }
+ { \prg_do_nothing: \__nmc_delim_absorb: }
+% absorbm
+\__nmc_fill_class:nn { \vphantom, \hphantom, \phantom, \label }
+ { \__nmc_fpify_absorbm: \__nmc_delim_absorbm: }
+% absorbom
+\__nmc_fill_class:nn { \xmathstrut }
+ { \__nmc_fpify_absorbom: \__nmc_delim_absorbom: }
+% sum, prod
+\__nmc_fill_class:nn { \sum, \prod }
+ { \__nmc_fpify_sum: \__nmc_delim_sum: }
+% begin end
+\__nmc_fill_class:nn { \begin, \end }
+ { \__nmc_fpify_BE: \__nmc_delim_BE: }
+% font
+\__nmc_fill_class:nn
+ {
+ \mathrm, \mathit, \mathcal, \mathtt, \mathbf, \mathbb,
+ \mathsf, \mathfrak, \mathscr, \mathnormal, \boldsymbol
+ }
+ { \__nmc_fpify_font: \__nmc_delim_font: }
+% meta
+\__nmc_fill_class:nn { \ensuremath, \text, \mbox }
+ { \__nmc_fpify_meta: \__nmc_delim_stop: }
+% meta2
+\__nmc_fill_class:nn { \splitfrac, \splitdfrac }
+ { \__nmc_fpify_metamm: \__nmc_delim_metamm: }
+% nmcFn
+\__nmc_fill_class:nn
+ {
+ \eval, \iter, \solve, \recur, \tabulate,
+ \nmcEvaluate, \nmcIterate, \nmcSolve,
+ \nmcRecur, \nmcTabulate
+ }
+ { \__nmc_fpify_cmd: \__nmc_delim_cmd: }
+
+\__nmc_fill_class:nn { \nmcInfo } { \__nmc_fpify_info: \__nmc_delim_info: }
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+% math token replacements for l3fp evaluation
+% #1 prop; #2 seq (keys); #3 seq (values)
+\cs_new_protected:Npn \__nmc_subst:NNN #1#2#3
+ {
+ \cs_set_protected:Npn \__nmc_substitutions:nn ##1##2
+ { \prop_gput:Nnn #1 { ##1 } { ##2 } }
+ \seq_mapthread_function:NNN #2 #3 \__nmc_substitutions:nn
+ }
+\prop_new:N \g__nmc_subst_fpfn_prop
+\seq_set_from_clist:Nn \l_tmpa_seq
+ {
+ e, \pi, \gamma, \phi, \deg, \infty,
+ \sin, \cos, \tan, \csc, \sec, \cot,
+ \arcsin, \arccos, \arctan, \arccsc, \arcsec, \arccot,
+ \sinh, \cosh, \tanh, \csch, \sech, \coth,
+ \asinh, \acosh, \atanh, \acsch, \asech, \acoth,
+ \exp, \ln, \lg, \lb, \sgn,
+ \max, \min, \surd, \sqrt,
+ \abs, \floor, \ceil,
+ \lvert, \lfloor, \lceil,
+ \times, \cdot, \div,
+ \neg, \lnot, \wedge, \land, \vee, \lor,
+ \le, \leq, \leqq, \leqslant,
+ \ge, \geq, \geqq, \geqslant,
+ \ne, \neq, \nless, \ngtr,
+ \nleq, \nleqq,\nleqslant, \ngeq, \ngeqq, \ngeqslant
+ }
+\seq_set_from_clist:Nn \l_tmpb_seq
+ {
+ exp(1), (pi), (0.5772156649015329),
+ (1.618033988749895), (0.0174532925199433), inf,
+ sin\__nmc_deg:, cos\__nmc_deg:, tan\__nmc_deg:,
+ csc\__nmc_deg:, sec\__nmc_deg:, cot\__nmc_deg:,
+ asin\__nmc_deg:, acos\__nmc_deg:, atan\__nmc_deg:,
+ acsc\__nmc_deg:, asec\__nmc_deg:, acot\__nmc_deg:,
+ sinh, cosh, tanh, csch, sech, coth,
+ asinh, acosh, atanh, acsch, asech, acoth,
+ exp, ln, (0.4342944819032518)ln, (1.442695040888963)ln, sign,
+ max, min, sqrt, sqrt,
+ abs, floor, ceil,
+ abs, floor, ceil,
+ *, *, /,
+ !, !, &&, &&, ||, ||,
+ <=, <=, <=, <=,
+ >=, >=, >=, >=,
+ !=, !=, !<, !>,
+ !<=, !<=, !<=, !>=, !>=, !>=
+ }
+\__nmc_subst:NNN \g__nmc_subst_fpfn_prop \l_tmpa_seq \l_tmpb_seq
+
+% property list for some miscellaneous substitutions
+\prop_new:N \g__nmc_subst_misc_prop
+\seq_set_from_clist:Nn \l_tmpa_seq
+ {
+ \cosh, \sinh, \tanh, \csch, \sech, \coth,
+ (, [, \{, \lparen, \lbrack, \lbrace,
+ \left, \bigl, \Bigl, \biggl, \Biggl,
+ \lvert, \lceil, \lfloor,
+ sum, prod, iter, solve
+ }
+\seq_set_from_clist:Nn \l_tmpb_seq
+ {
+ acosh, asinh, atanh, acsch, asech, acoth,
+ ), ], \}, \rparen, \rbrack, \rbrace,
+ \right, \bigr, \Bigr, \biggr, \Biggr,
+ \rvert, \rceil, \rfloor,
+ term, factor, iteration, step
+ }
+\__nmc_subst:NNN \g__nmc_subst_misc_prop \l_tmpa_seq \l_tmpb_seq
+
+% for variables & \reuse \cs
+\prop_new:N \g__nmc_subst_var_prop
+%---------------------------------------------------------------------------
+% base function variants
+\cs_generate_variant:Nn \tl_if_head_eq_meaning:nNTF { V }
+\cs_generate_variant:Nn \tl_if_head_eq_meaning:nNF { V }
+\cs_generate_variant:Nn \tl_if_head_eq_meaning_p:nN { V }
+\cs_generate_variant:Nn \tl_if_head_eq_charcode:nNTF { V }
+\cs_generate_variant:Nn \tl_if_head_eq_charcode:nNT { V }
+\cs_generate_variant:Nn \tl_if_head_eq_charcode:nNF { V }
+\cs_generate_variant:Nn \tl_if_head_is_group:nTF { V }
+\cs_generate_variant:Nn \tl_if_in:NnTF { NV }
+\cs_generate_variant:Nn \tl_if_in:NnT { NV }
+\cs_generate_variant:Nn \tl_if_in:nnTF { nV }
+\cs_generate_variant:Nn \tl_if_eq:nnTF { V }
+\cs_generate_variant:Nn \tl_if_eq:nnT { V }
+\cs_generate_variant:Nn \tl_if_eq:nnF { V }
+\cs_generate_variant:Nn \tl_replace_once:Nnn { Nnx }
+\cs_generate_variant:Nn \tl_count_tokens:n { V }
+\cs_generate_variant:Nn \int_compare:nNnTF { v }
+\cs_generate_variant:Nn \int_compare:nNnT { v }
+\cs_generate_variant:Nn \int_case:nnTF { v }
+\cs_generate_variant:Nn \clist_pop:NN { cc }
+\cs_generate_variant:Nn \prop_put_if_new:Nnn { No }
+\cs_generate_variant:Nn \iow_open:Nn { NV }
+\cs_generate_variant:Nn \iow_now:Nn { NV }
+\cs_generate_variant:Nn \keys_set_known:nn { x }
+\cs_generate_variant:Nn \file_get:nnN { V }
+\cs_generate_variant:Nn \file_get:nnNT { V }
+\cs_generate_variant:Nn \file_get:nnNTF { V }
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+% general purpose routines
+\tl_new:N \l__nmc_A_tl
+\tl_new:N \l__nmc_B_tl
+\tl_new:N \l__nmc_C_tl
+\tl_new:N \l__nmc_L_tl
+\tl_new:N \l__nmc_R_tl
+% prune head from A, place in B; record new head of A in C
+\cs_new_protected:Npn \__nmc_next:
+ { \exp_last_unbraced:NV\__nmc_next:w \l__nmc_A_tl\q_stop }
+\cs_new_protected:Npn \__nmc_next:w #1#2#3\q_stop
+ { \__nmc_assign_vals:nnnN {#1} {#2} {#3} \l__nmc_B_tl }
+% get |arg|
+\cs_new_protected:Npn \__nmc_absval_arg:N #1
+ { \exp_last_unbraced:NV \__nmc_absval_arg:wN \l__nmc_A_tl\q_stop #1 }
+\cs_new_protected:Npn \__nmc_absval_arg:wN #1|#2#3\q_stop #4
+ { \__nmc_assign_vals:nnnN {#1} {#2} {#3} #4 }
+\cs_new_protected:Npn \__nmc_assign_vals:nnnN #1#2#3#4
+ {
+ \tl_if_single:nTF { #2 }
+ { \tl_set:Nn \l__nmc_A_tl { #2#3 } }
+ { \tl_set:Nn \l__nmc_A_tl { {#2}#3 } }
+ \tl_set:Nn #4 { #1 }
+ \tl_set:Nn \l__nmc_C_tl { #2 }
+ }
+\cs_new_protected:Npn \__nmc_parenth:N #1
+ { \tl_set:Nx #1 { ( \exp_not:o #1 ) } }
+\cs_new_protected:Npn \__nmc_accum_fn_parenth:NNn #1#2#3
+ { \tl_put_right:Nx #1 { #3( \exp_not:o #2 ) } }
+
+\cs_new_protected:Npn \__nmc_accum_fpify_parenth:NN #1#2
+ { % fpify #2, wrap in ( ), append to #1
+ \group_begin:
+ \tl_clear:N \l_tmpa_tl
+ \__nmc_fpify:VN #2 \l_tmpa_tl
+ \exp_args:NNNV
+ \group_end:
+ \__nmc_accum_fn_parenth:NNn #1\l_tmpa_tl{}
+ }
+\cs_new_protected:Npn \__nmc_fpify_next_braced:N #1
+ { % fp-ify next braced argument, parenthesize, append to #1
+ \__nmc_next:
+ \__nmc_accum_fpify_parenth:NN #1 \l__nmc_B_tl
+ }
+% wrap #3 in #2 & #4, & append to #1
+\cs_new_protected:Npn \__nmc_put_right_wrap:NnNn #1#2#3#4
+ { \tl_put_right:Nx #1 { #2 \exp_not:o #3 #4 } }
+
+\cs_new_protected:Npn \__nmc_get_arg_L:nN #1#2
+ {
+ \tl_set:Nn \l__nmc_L_tl { #1 }
+ \prop_get:NnN \g__nmc_subst_misc_prop { #1 } \l__nmc_R_tl
+ \__nmc_get_arg_L_aux:NNV #1#2 \l__nmc_R_tl
+ }
+\cs_generate_variant:Nn \__nmc_get_arg_L:nN { V }
+
+\cs_new_protected:Npn \__nmc_get_arg_L_aux:NNn #1#2#3
+ { \__nmc_get_arg_LR:NNN #1#2#3 }
+\cs_generate_variant:Nn \__nmc_get_arg_L_aux:NNn { NNV }
+
+% #1 left delim; #2 <-- arg (delims *not* included)
+% #3 right delim (*must* differ from #1)
+\cs_new_protected:Npn \__nmc_get_arg_LR:NNN #1#2#3
+ {
+ \int_set:Nn \l_tmpa_int { 1 }
+ \tl_map_inline:Nn \l__nmc_A_tl
+ {
+ \str_case:nn { ##1 }
+ {
+ { #1 } { \int_incr:N \l_tmpa_int }
+ { #3 } { \__nmc_get_arg_LR_rdelim: }
+ { \q_nil } { \__nmc_get_arg_LR_qnil:N #1 }
+ }
+ \__nmc_next:
+ \tl_if_single:nTF { ##1 }
+ { \tl_put_right:Nn #2 { ##1 } }
+ { \tl_put_right:Nn #2 { {##1} } }
+ }
+ }
+\cs_new_protected:Npn \__nmc_get_arg_LR_rdelim:
+ {
+ \int_decr:N \l_tmpa_int
+ \int_if_zero:nT { \l_tmpa_int }
+ { \__nmc_next: \tl_map_break: }
+ }
+\cs_new_protected:Npn \__nmc_get_arg_LR_qnil:N #1
+ {
+ \__nmc_error_what:n { Unmatched~\__nmc_verb:n { #1 }{}~in }
+ \tl_map_break:
+ }
+% #1 <== multi-char num poss. in sci notation
+% #2 delim only bool
+\cs_new_protected:Npn \__nmc_get_dec:NN #1#2
+ {
+ \tl_set:NV #1 \l__nmc_B_tl
+ \__nmc_get_dec_digits:NN #1 \c__nmc_decimals_tl
+ \bool_lazy_and:nnT { \l__nmc_sci_num_in_bool }
+ { \tl_if_eq_p:NN \l__nmc_C_tl \l__nmc_sci_num_in_tl }
+ { \__nmc_get_dec_aux:NN #1#2 }
+ }
+\cs_new_protected:Npn \__nmc_get_dec_aux:NN #1#2
+ { % l3fp uses "e"
+ \__nmc_next:
+ \tl_if_eq:VnTF \l__nmc_C_tl { - }
+ {
+ \__nmc_next:
+ \__nmc_get_dec_aux:NNn #1#2 { e- }
+ }
+ { \__nmc_get_dec_aux:NNn #1#2 { e } }
+ }
+ \cs_new_protected:Npn \__nmc_get_dec_aux:NNn #1#2#3
+ {
+ \tl_if_in:NVTF \c__nmc_digits_tl \l__nmc_C_tl
+ {
+ \bool_if:NTF #2
+ { \tl_put_right:NV #1 \l__nmc_sci_num_in_tl }
+ { \tl_put_right:Nn #1 { #3 } }
+ \__nmc_get_dec_digits:NN #1 \c__nmc_sdigits_tl
+ }
+ {
+ \tl_set_eq:NN \l__nmc_C_tl \l__nmc_sci_num_in_tl
+ \str_if_in:nnT { #3 } { - }
+ { \tl_put_left:Nn \l__nmc_A_tl { - } }
+ \tl_put_left:NV \l__nmc_A_tl \l__nmc_sci_num_in_tl
+ }
+ }
+\cs_new_protected:Npn \__nmc_get_dec_digits:NN #1#2
+ {
+ \tl_map_inline:Nn \l__nmc_A_tl
+ {
+ \tl_if_in:NnTF #2 { ##1 }
+ {
+ \tl_put_right:Nn #1 { ##1 }
+ \__nmc_next:
+ }
+ { \tl_map_break: }
+ }
+ }
+% for factorial, binom, n-th root, sum/prod
+\cs_new_protected:Npn \__nmc_intify:Nn #1#2
+ { % #1 value; #2 lower bound (e.g. 0,1,-1)
+ \int_set:Nn \l_tmpa_int { \l__nmc_intify_round_tl }
+ \fp_compare:nTF { { #2 } <= round(#1+0,\l_tmpa_int) = round(#1+0) }
+ { \tl_set:Nx #1 { \fp_eval:n { round(#1+0) } } }
+ {
+ \fp_compare:nNnTF { #2 } = { -inf }
+ { \__nmc_error_what:n { Integer~required~in } }
+ { \__nmc_error_what:n { Integer~$\ge#2$~required~in } }
+ }
+ }
+%------------------------------------------------
+% explicit/implicit calc. of fn vals (sum/prod, tables, etc.)
+% #1 var; #2 fn; #3 var val (fp); #4 <= fn val at #3
+\cs_new_protected:Npn \__nmc_calc_fn_val:nNnN #1#2#3#4
+ {
+ \prop_put:Nnx \g__nmc_subst_var_prop { #1 } { \fp_eval:n { #3 } }
+ \__nmc_fpify_set:NN #4 #2
+ }
+\cs_new_protected:Npn \__nmc_calc_mode:n #1
+ {
+ \int_set:Nn \l__nmc_mode_int { #1 }
+ \int_case:nn { #1 }
+ {
+ { 1 } { \cs_set_eq:NN \__nmc_calc_fn_val:nNnN
+ \__nmc_calc_fn_vali:nNnN }
+ { 2 } { \cs_set_eq:NN \__nmc_calc_fn_val:nNnN
+ \__nmc_calc_fn_valii:nNnN }
+ }
+ }
+\cs_generate_variant:Nn \__nmc_calc_fn_val:nNnN { V }
+
+\cs_new_protected:Npn \__nmc_calc_fn_vali:nNnN #1#2#3#4
+ { % mode 1 (all vals in vv-list may change)
+ \prop_put:Nnx \l__nmc_vv_change_prop { #1 } { \fp_eval:n { #3 } }
+ \__nmc_vv_get_vars_vals:NN \l__nmc_calc_fn_seq \l__nmc_vv_change_prop
+ \__nmc_fpify_set:NN #4 #2
+ }
+\cs_new_protected:Npn \__nmc_calc_fn_valii:nNnN #1#2#3#4
+ { % mode 2 (some vals in vv-list held const.)
+ \prop_put:Nnx \l__nmc_vv_change_prop { #1 } { \fp_eval:n { #3 } }
+ \clist_map_inline:Nn \g__nmc_unchanged_clist
+ {
+ \prop_get:NnN \g__nmc_subst_var_prop { ##1 } \l__nmc_subst_tl
+ \prop_put:NnV \l__nmc_vv_change_prop { ##1 } \l__nmc_subst_tl
+ }
+ \__nmc_vv_get_vars_vals:NN \l__nmc_calc_fn_seq \l__nmc_vv_change_prop
+ \__nmc_fpify_set:NN #4 #2
+ }
+\cs_new_protected:Npn \__nmc_fpify_set:NN #1#2
+ { % fp-set #1 to fpified #2
+ \group_begin:
+ \tl_clear:N \l_tmpa_tl
+ \__nmc_fpify:VN #2 \l_tmpa_tl
+ \exp_args:NNNV
+ \group_end:
+ \tl_set:Nn \l__nmc_fp_exprn_tl { \l_tmpa_tl }
+ \fp_set:Nn #1 { \l__nmc_fp_exprn_tl }
+ \__nmc_error_fpflag:
+ }
+\cs_generate_variant:Nn \__nmc_fpify_set:NN { cc }
+\cs_new_protected:Npn \__nmc_verb:n #1
+ { \texttt{ \tl_trim_spaces:n { \tl_to_str:n { #1 } } } }
+\cs_generate_variant:Nn \__nmc_verb:n { V }
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+% Error handling
+\seq_new:N \g__nmc_error_where_seq
+\bool_new:N \g__nmc_error_bool
+%--------------------------------------
+\cs_new_protected:Npn \__nmc_error_where:n #1
+ { \seq_gpush:Nn \g__nmc_error_where_seq { #1 } }
+
+\cs_new_protected:Npn \__nmc_error_what:n #1
+ {
+ \bool_gset_true:N \g__nmc_error_bool
+ \tl_gclear:N \g__nmc_reuse_tl
+ \__nmc_error_msg:n { #1 }
+ }
+\cs_new_protected:Npn \__nmc_error_msg:n #1
+ {
+ \seq_if_empty:NF \g__nmc_error_where_seq
+ {
+ \seq_gpop:NN \g__nmc_error_where_seq \l_tmpa_tl
+ \hbox:n { !!!~ #1 :~\l_tmpa_tl.~!!! }
+ }
+ }
+% l3fp exceptions; invalid op triggers a LaTeX *error*, hence:
+\fp_trap:nn { invalid_operation } { flag }
+\cs_new_protected:Npn \__nmc_error_fpflag:
+ { % ln(1),cos(90),sin(360) => underflow. Ignored!
+ \flag_if_raised:nTF { fp_overflow } { \__nmc_flag:n { 1 } }
+ { \flag_if_raised:nTF { fp_division_by_zero } { \__nmc_flag:n { 2 } }
+ { \flag_if_raised:nT { fp_invalid_operation }
+ { \__nmc_flag:n { 3 } }
+ }
+ }
+ }
+\cs_new_protected:Npn \__nmc_flag:n #1
+ {
+ \__nmc_error_what:n
+ {
+ \__nmc_verb:n{l3fp}~error~
+ \int_case:nnT { #1 }
+ {
+ { 1 } { `Overflow' }
+ { 2 } { `Division~by~zero' }
+ { 3 } { `Invalid~operation' }
+ }
+ { ~in }
+ }
+ }
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+% multi-tok vars (primed, subscripted, ...) to single tok
+% assumes math delims absent
+\int_new:N \g__nmc_prep_multitok_int
+\tl_new:N \l_nmc_multitoka_tl
+\tl_new:N \l_nmc_multitokb_tl
+\cs_new_protected:Npn \__nmc_prep_multitok:NN #1#2
+ { % #1 vv-list (seq); #2 formula (tl)
+ \seq_clear:N \l_tmpa_seq
+ \seq_map_inline:Nn #1
+ {
+ \seq_set_split:Nnn \l_tmpb_seq { = } { ##1 }
+ \seq_pop:NN \l_tmpb_seq \l_tmpb_tl
+ \int_compare:nNnT { \tl_count_tokens:V \l_tmpb_tl } > { 1 }
+ { \seq_push:NV \l_tmpa_seq \l_tmpb_tl }
+ }
+ \seq_sort:Nn \l_tmpa_seq
+ { % big --> small
+ \int_compare:nNnTF { \tl_count:n {##2} } > { \tl_count:n { ##1 } }
+ { \sort_return_swapped: }
+ { \sort_return_same: }
+ }
+ \seq_map_inline:Nn \l_tmpa_seq
+ { % multitoks => \_nmca, \_nmcb, etc
+ \int_gincr:N \g__nmc_prep_multitok_int
+ \tl_set:Nn \l_nmc_multitoka_tl { ##1 }
+ \tl_set:Nx \l_nmc_multitokb_tl { \cs:w _nmc\int_to_alph:n
+ { \g__nmc_prep_multitok_int } \cs_end: }
+ \tl_set:cn { _nmc\int_to_alph:n { \g__nmc_prep_multitok_int } }
+ { ##1 }
+ \regex_replace_all:nnN
+ { \u{l_nmc_multitoka_tl} } { \u{l_nmc_multitokb_tl} } #1
+ \regex_replace_all:nnN
+ { \u{l_nmc_multitoka_tl} } { \u{l_nmc_multitokb_tl} } #2
+ }
+ }
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+% \nmcInfo (no. of terms/loops/steps in "infinite" processes)
+\tl_new:N \g__nmc_sum_info_tl
+\tl_new:N \g__nmc_prod_info_tl
+\NewDocumentCommand \nmcInfo { s m }
+ {
+ \prop_if_in:NnTF \g__nmc_subst_misc_prop { #2 }
+ {
+ \tl_if_empty:cT { g__nmc_#2_info_tl }
+ { \tl_set:cn { g__nmc_#2_info_tl } { 0 } }
+ \tl_use:c { g__nmc_#2_info_tl }
+ \IfBooleanF { #1 }
+ {
+ \prop_get:NnN \g__nmc_subst_misc_prop { #2 } \l_tmpb_tl
+ \ \l_tmpb_tl % pluralise?
+ \int_if_zero:nF { \tl_use:c { g__nmc_#2_info_tl } - 1 } { s }
+ }
+ }
+ {
+ \__nmc_error_where:n { info~command }
+ \__nmc_error_what:n { Unknown~argument~\__nmc_verb:n { #2 }~in }
+ }
+ }
+\ProvideDocumentCommand \info {} { \nmcInfo }
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+\int_new:N \l__nmc_mode_int
+\tl_new:N \l__nmc_formula_tl
+\tl_new:N \l__nmc_formula_dup_tl
+\tl_new:N \l__nmc_fp_expr_tl
+\tl_new:N \l__nmc_fp_exprn_tl
+\tl_new:N \l_nmc_result_tl
+\bool_new:N \l__nmc_vv_val_only_bool
+\clist_new:N \l__nmc_vv_clist
+\seq_new:N \l__nmc_vv_visible_seq
+\seq_new:N \l__nmc_vv_all_seq
+\seq_new:N \l__nmc_calc_fn_seq
+\prop_new:N \l__nmc_vv_change_prop
+\tl_new:N \l__nmc_eq_var_tl
+\tl_new:N \l__nmc_eq_val_tl
+\tl_new:N \l__nmc_vv_fp_expr_tl
+\int_new:N \l__nmc_round_int
+\int_new:N \l__nmc_sci_num_int
+\int_new:N \l__nmc_prime_int
+\tl_new:N \l__nmc_bool_F_tl
+\tl_new:N \l__nmc_bool_T_tl
+\bool_new:N \l__nmc_TF_out_bool
+\bool_new:N \l__nmc_allow_TF_out_bool
+\bool_new:N \l__nmc_sci_num_x_bool
+\bool_new:N \l__nmc_sci_num_table_bool
+\tl_new:N \l__nmc_punc_tl
+\tl_new:N \l__nmc_math_delimi_tl
+\tl_new:N \l__nmc_math_delimii_tl
+\bool_new:N \l__nmc_wraps_math_bool
+% ##1 = number-only switch, ##2 = keyval settings,
+% ##3 = formula, ##4 = vv-list, ##5 = number format,
+% #1 = \nmcCommand, #2 = id, #3 =short-name cmd
+\cs_new_protected:Npn \nmc_define:nnN #1#2#3
+ {
+ \NewDocumentCommand { #1 } { s O{} m O{} O{} }
+ {
+ \bool_gset_false:N \g__nmc_error_bool
+ \group_begin:
+ \bool_set_eq:NN \l__nmc_num_only_bool ##1
+ \__nmc_get_inputs:nnnnn { #2 } { ##2 } { ##3 } {##4 } {##5 }
+ \bool_if:NF \g__nmc_error_bool
+ { \use:c { __nmc_#2_process: } }
+ \int_if_zero:nTF { \l__nmc_debug_int }
+ {
+ \bool_if:NF \g__nmc_error_bool
+ { \use:c { __nmc_#2_display: } }
+ }
+ { \__nmc_debug_display:nn { \l__nmc_debug_int } { #2 } }
+ \group_end:
+ }
+ \ProvideDocumentCommand { #3 } { } { #1 }
+ }
+\nmc_define:nnN { \nmcEvaluate } { eval } \eval
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+\cs_new_protected:Npn \__nmc_get_inputs:nnnnn #1#2#3#4#5
+ {
+ \__nmc_settings_get:nn { #1 }{ #2 }
+ \use:c { __nmc_#1_settings_digest: }
+ \bool_if:NF \g__nmc_error_bool
+ {
+ \mode_if_math:TF
+ { \tl_set:Nn \l__nmc_formula_tl { #3 } }
+ { \__nmc_math_delims:n { #3 } }
+ \tl_set_eq:NN \l__nmc_formula_dup_tl \l__nmc_formula_tl
+ }
+ \bool_if:NF \g__nmc_error_bool
+ {
+ \tl_if_in:nnTF { #4 } { = }
+ { % vv-list
+ \__nmc_vv_extract_visible:nN { #4 } \l__nmc_vv_clist
+ \use:c { __nmc_#1_vv_digest:N } \l__nmc_vv_clist
+ \bool_if:NF \g__nmc_error_bool
+ { % number format
+ \tl_if_empty:nF { #5 }
+ { \__nmc_get_num_format:nn { #5 } { #1 } }
+ }
+ }
+ { % if empty vv-list
+ \tl_clear:N \l__nmc_vv_inline_tl
+ \tl_clear:N \l__nmc_vv_display_tl
+ \__nmc_get_num_format:nn { #4#5 } { #1 }
+ }
+ }
+ }
+\cs_new_protected:Npn \__nmc_settings_get:nn #1#2
+ { % #1 = iter,solve,recur,table; #2 = settings
+ \__nmc_error_where:n { settings }
+ \tl_if_empty:nF { #2 }
+ {
+ \keys_set_known:nn { numerica/generic } { #2 }
+ \keys_set_known:xn { numerica/#1 }{ #2 }
+ }
+ }
+\cs_new_protected:Npn \__nmc_debug_display:nn #1#2
+ { \__nmc_debug_display:xnn { \mode_if_math:TF { ed }{ * } } { #1 } { #2 } }
+\cs_new_protected:Npn \__nmc_debug_display:nnn #1#2#3
+ { % #2 dbg int #3 fn id
+ \__nmc_if_mod_zero:nnT { #2 } { 5 }
+ { \__nmc_debug_stored:N \l_tmpb_tl }
+ \raggedright
+ \begin{ align#1 }
+ \__nmc_debug_display:xnnn { \seq_use:Nn \l__nmc_vv_all_seq { ,~ } }
+ { #2 } { 2 } { vv-list }
+ \__nmc_debug_display:Vnnn \l__nmc_formula_tl { #2 } { 3 } { formula }
+ \__nmc_debug_display:Vnnn \l_tmpb_tl { #2 } { 5 } { stored }
+ \__nmc_debug_display:Vnnn \l__nmc_fp_expr_tl { #2 } { 7 } { fp-form }
+ \bool_if:nT
+ {
+ !\g__nmc_error_bool &&
+ \__nmc_if_mod_zero_p:nn { #2 } { 7 } &&
+ !\str_if_eq_p:nn { #3 } { table }
+ }
+ { \text{result:} & \quad \l_nmc_result_tl }
+ \__nmc_debug_display:Vnnn \l__nmc_reuse_retrieved_tl
+ { #2 } { 99991 } { Saved }
+ \end{ align#1 }
+ }
+\cs_generate_variant:Nn \__nmc_debug_display:nnn { x }
+
+\cs_new_protected:Npn \__nmc_debug_stored:N #1
+ {
+ \tl_clear:N \l_tmpa_tl
+ \tl_if_empty:NF \l__nmc_reuse_retrieved_tl
+ {
+ \clist_map_inline:Nn \l__nmc_reuse_retrieved_tl
+ { \tl_put_left:Nx \l_tmpa_tl { \exp_not:o { \use_i:nn ##1 }; } }
+ \tl_replace_all:Nnn \l_tmpa_tl { ~; } { ; }
+ }
+ \tl_clear:N #1
+ \prop_map_inline:Nn \g__nmc_subst_var_prop
+ {
+ \str_if_in:NnF \l_tmpa_tl { ##1; }
+ { \tl_put_right:Nn #1 { ##1=##2,~ } }
+ }
+ \tl_set:Nx #1 { \tl_range:Nnn #1 { 1 } { -2 } }
+ }
+\cs_new:Npn \__nmc_debug_display:nnnn #1#2#3#4
+ {
+ \__nmc_if_mod_zero:nnT { #2 } { #3 }
+ { \hbox:n { #4:} & \quad
+ \int_compare:nNnTF { #2 } > { 0 }
+ { \vbox_top:n } { \hbox:n } { \tl_to_str:n { #1 } } \\ }
+ }
+\cs_generate_variant:Nn \__nmc_debug_display:nnnn { V, x }
+%%%%%%%%% formula, delimiters %%%%%%%%%%%
+% delimiters
+% #1(tl) = formula
+\cs_new_protected:Npn \__nmc_math_delims:n #1
+ {
+ \tl_set:Nn \l__nmc_formula_tl { #1 }
+ \tl_trim_spaces:N \l__nmc_formula_tl
+ \bool_set_true:N \l__nmc_wraps_math_bool
+ % $ ?
+ \tl_if_head_eq_meaning:VNTF \l__nmc_formula_tl $
+ { \__nmc_math_delims_aux:n { 1 } }
+ { % \[ ?
+ \tl_if_head_eq_meaning:VNTF \l__nmc_formula_tl \[
+ { \__nmc_math_delims_aux:n { 1 } }
+ { %\begin{environ} ?
+ \tl_if_head_eq_meaning:VNTF \l__nmc_formula_tl \begin
+ { \__nmc_math_delims_aux:n { 2 } }
+ {
+ \__nmc_math_delims_aux:nn { \[ } { \] }
+ \bool_set_false:N \l__nmc_wraps_math_bool
+ }
+ }
+ }
+ \tl_trim_spaces:N \l__nmc_formula_tl
+ \bool_if:NTF \l__nmc_num_only_bool
+ { \__nmc_math_delims_aux:nn {}{} }
+ {
+ \bool_if:NT \l__nmc_vv_multline_bool
+ { \__nmc_math_delims_mliner:V \l__nmc_eq_num_tl }
+ }
+ }
+\cs_new:Npn \__nmc_math_delims_mliner:n #1
+ {
+ \bool_if:nT { \l__nmc_wraps_math_bool || !\mode_if_math_p: }
+ {
+ \tl_set:Nn \l__nmc_math_delimi_tl { \begin{multline#1} }
+ \tl_set:Nn \l__nmc_math_delimii_tl { \end{multline#1} }
+ }
+ }
+\cs_generate_variant:Nn \__nmc_math_delims_mliner:n { V }
+\cs_new_protected:Npn \__nmc_math_delims_aux:n #1
+ {
+ \__nmc_math_delims_aux:xx
+ { \tl_range:Nnn \l__nmc_formula_tl { 1 } { #1 } }
+ { \tl_range:Nnn \l__nmc_formula_tl { -#1 } { -1 } }
+ \int_set:Nn \l_tmpa_int { #1 + 1 }
+ \tl_set:Nx \l__nmc_formula_tl
+ { \tl_range:Nnn \l__nmc_formula_tl { \l_tmpa_int }
+ { -\l_tmpa_int } }
+ }
+\cs_new_protected:Npn \__nmc_math_delims_aux:nn #1#2
+ {
+ \tl_set:Nn \l__nmc_math_delimi_tl { #1 }
+ \tl_set:Nn \l__nmc_math_delimii_tl { #2 }
+ }
+\cs_generate_variant:Nn \__nmc_math_delims_aux:nn { xx }
+%%%%%%%%%% vv-list routines %%%%%%%%%%%
+\cs_new_protected:Npn \__nmc_vv_extract_visible:nN #1#2
+ { % #2 reverses #1
+ \clist_clear:N #2
+ \seq_clear:N \l__nmc_vv_visible_seq
+ \clist_set:Nn \l_tmpa_clist { #1 }
+ \mode_if_math:F
+ {
+ \tl_remove_all:Nn \l_tmpa_clist { $ }
+ \tl_if_head_eq_charcode:VNT \l_tmpa_clist \[
+ {
+ \tl_remove_once:Nn \l_tmpa_clist { \[ }
+ \tl_remove_once:Nn \l_tmpa_clist { \] }
+ }
+ \tl_trim_spaces:N \l_tmpa_clist
+ }
+ \clist_map_inline:Nn \l_tmpa_clist
+ {
+ \tl_if_head_is_group:nTF { ##1 }
+ { % to remove { }
+ \clist_put_left:Nx #2
+ { \tl_head:n { ##1 } \tl_tail:n { ##1 } }
+ }
+ {
+ \seq_put_right:Nn \l__nmc_vv_visible_seq { ##1 }
+ \tl_if_head_eq_meaning:nNF { ##1 } \\
+ { \clist_put_left:Nn #2 { ##1 } }
+ }
+ }
+ \tl_replace_once:Nnx \l__nmc_vv_inline_tl { vv }
+ { \seq_use:Nn \l__nmc_vv_visible_seq { , } }
+ \tl_replace_once:Nnx \l__nmc_vv_display_tl { vv }
+ { \seq_use:Nn \l__nmc_vv_visible_seq { , } }
+ }
+\cs_new_protected:Npn \__nmc_vv_digest:N #1
+ {
+ \seq_set_from_clist:NN \l__nmc_vv_all_seq #1
+ \__nmc_error_where:n { variable\,=\,value~list }
+ \bool_if:NT \l__nmc_multitok_bool
+ { \__nmc_prep_multitok:NN \l__nmc_vv_all_seq \l__nmc_formula_tl }
+ \__nmc_vv_get_vars_vals:NN \l__nmc_vv_all_seq \c_empty_prop
+ }
+\cs_new_protected:Npn \__nmc_vv_get_vars_vals:NN #1#2
+ { % #1(seq) vv-list;#2(prop) changed vars (implicit-mode)
+ \seq_set_eq:NN \l_tmpa_seq #1
+ \seq_clear:N \l__nmc_calc_fn_seq
+ \seq_map_inline:Nn \l_tmpa_seq
+ {
+ \__nmc_vv_split_item:n { ##1 }
+ \bool_if:NT \g__nmc_error_bool { \seq_map_break: }
+ \__nmc_vv_record:NVN \l__nmc_eq_var_tl \l__nmc_eq_val_tl #2
+ \bool_if:NTF \g__nmc_error_bool { \seq_map_break: }
+ { \seq_put_right:Nn \l__nmc_calc_fn_seq { ##1 } }
+ }
+ }
+\cs_new_protected:Npn \__nmc_vv_get_vars_vals_lims:NN #1#2
+ { % for summation, integration limits
+ \__nmc_vv_split_item:V #1
+ \bool_if:NF \g__nmc_error_bool
+ { \__nmc_vv_record:NVN \l__nmc_eq_var_tl \l__nmc_eq_val_tl #2 }
+ }
+\cs_new_protected:Npn \__nmc_vv_record:NnN #1#2#3
+ {
+ \bool_if:NF \l__nmc_vv_val_only_bool
+ { % record the var
+ \prop_put_if_new:Non \g__nmc_class_prop #1
+ { \__nmc_fpify_var: \__nmc_delim_var: }
+ }
+ \prop_get:NVNF #3 #1 \l__nmc_vv_fp_expr_tl
+ { % fp-ify & calc. (changed `var=val's in prop #3)
+ \tl_clear:N \l__nmc_vv_fp_expr_tl
+ \__nmc_fpify:nN { #2 } \l__nmc_vv_fp_expr_tl
+ }
+ \bool_if:nF
+ {
+ \l__nmc_vv_val_only_bool ||
+ \g__nmc_error_bool
+ }
+ { \__nmc_vv_write:VN #1 \l__nmc_vv_fp_expr_tl }
+ }
+\cs_generate_variant:Nn \__nmc_vv_record:NnN { NV }
+
+\cs_new_protected:Npn \__nmc_vv_write:nN #1#2
+ { % #1 = var; #2 = val as fp expr.
+ \tl_if_empty:NF #2
+ {
+ \tl_if_eq:VnTF #2 { inf }
+ { \prop_put:Nnn \g__nmc_subst_var_prop { #1 } { inf } }
+ {
+ \prop_put:Nnx \g__nmc_subst_var_prop
+ { #1 } { \fp_eval:n { #2 } }
+ \__nmc_error_fpflag:
+ }
+ }
+ }
+\cs_generate_variant:Nn \__nmc_vv_write:nN { V }
+% split var=val
+\cs_new_protected:Npn \__nmc_vv_split_item:n #1
+ {
+ \bool_set_false:N \l__nmc_vv_val_only_bool
+ \tl_if_in:nnTF { #1 } { = }
+ {
+ \__nmc_split_eq:w #1\q_stop
+ \tl_if_empty:NT \l__nmc_eq_val_tl
+ { \__nmc_error_what:n { No~value~for~$\l__nmc_eq_var_tl$~in } }
+ }
+ {
+ \bool_set_true:N \l__nmc_vv_val_only_bool
+ \tl_set:Nn \l__nmc_eq_val_tl { #1 }
+ }
+ }
+\cs_generate_variant:Nn \__nmc_vv_split_item:n { V }
+\cs_new_protected:Npn \__nmc_split_eq:w #1=#2\q_stop
+ {
+ \tl_set:Nn \l__nmc_eq_var_tl { #1 }
+ \tl_trim_spaces:N \l__nmc_eq_var_tl
+ \tl_set:Nn \l__nmc_eq_val_tl { #2 }
+ }
+%%%%%%%%%% number-formatting routines %%%%%%%%%%
+\cs_new_protected:Npn \__nmc_get_num_format:nn #1#2
+ {
+ \__nmc_error_where:n { result~format~spec. }
+ \tl_clear:N \l_tmpa_tl
+ \str_map_inline:nn { #1 }
+ {
+ \str_if_in:NnTF \c__nmc_sdigits_tl { ##1 }
+ { \tl_put_right:Nn \l_tmpa_tl { ##1 } }
+ {
+ \str_if_eq:nnTF { ##1 } { * }
+ { \bool_set_true:N \l__nmc_pad_zeros_bool }
+ {
+ \bool_set_true:N \l__nmc_sci_num_out_bool
+ \str_case:nnF { ##1 }
+ {
+ { x } { \bool_set_true:N \l__nmc_sci_num_x_bool
+ \tl_set:Nn \l__nmc_sci_num_out_tl { ##1 } }
+ { t } { \bool_set_true:N \l__nmc_sci_num_table_bool }
+ { ' } { \int_incr:N \l__nmc_prime_int }
+ }
+ { \tl_set:Nn \l__nmc_sci_num_out_tl { ##1 } }
+ }
+ }
+ }
+ \str_if_in:nnT { #1 } { ? }
+ {
+ \bool_set_eq:NN \l__nmc_TF_out_bool \l__nmc_allow_TF_out_bool
+ \bool_set_false:N \l__nmc_sci_num_out_bool
+ }
+ \tl_if_empty:NF \l_tmpa_tl
+ { \int_set:Nn \l__nmc_round_int \l_tmpa_tl }
+ \bool_if:NT \l__nmc_TF_out_bool
+ {
+ \bool_if:NTF \l__nmc_num_only_bool
+ { \__nmc_num_TF_format:n { 1 } }
+ { \__nmc_num_TF_format:n { 1 + \l__nmc_prime_int } }
+ }
+ \bool_if:NF \g__nmc_error_bool
+ { \seq_gpop:NN \g__nmc_error_where_seq \l__nmc_toss_tl }
+ }
+%%%%%%%%%%
+\cs_new_protected:Npn \__nmc_num_TF_format:n #1
+ {
+ \tl_set:Nx \l__nmc_bool_F_tl { \seq_item:Nn \c__nmc_F_out_seq { #1 } }
+ \tl_set:Nx \l__nmc_bool_T_tl { \seq_item:Nn \c__nmc_T_out_seq { #1 } }
+ }
+\cs_new_protected:Npn \__nmc_num_format:nNnN #1#2#3#4
+ { % #1=fpf'ied in; #2=tl fmt'ed out; #3=int rnd; #4 sci bool
+ \bool_if:NTF \l__nmc_TF_out_bool
+ {
+ \tl_set:Nx #2 { \fp_compare:nNnTF { 0 } = { #1 }
+ { \exp_not:o \l__nmc_bool_F_tl }
+ { \exp_not:o \l__nmc_bool_T_tl } }
+ }
+ {
+ \bool_if:NTF #4
+ {
+ \exp_last_unbraced:Nx \__nmc_sci_output_aux:wNn
+ { \fp_to_scientific:n { #1 } } \q_stop #2 { #3 }
+ }
+ { \__nmc_num_format_decimal:nNn { #1 } #2 { #3 } }
+ }
+ }
+\cs_new_protected:Npn \__nmc_num_format_decimal:nNn #1#2#3
+ {
+ \tl_set:Nx #2 { \fp_eval:n { 0 + round( #1, #3 ) } }
+ \__nmc_error_fpflag:
+ \bool_if:NF \g__nmc_error_bool
+ {
+ \int_set:Nn \l__nmc_num_sgn_int { \fp_sign:n { #2 } }
+ \bool_lazy_and:nnT { \l__nmc_pad_zeros_bool }
+ { \int_compare_p:nNn { #3 } > { 0 } }
+ {
+ \tl_if_in:NnTF #2 { . }
+ { \__nmc_num_pad:Nnn #2 {} { #3 } }
+ { \__nmc_num_pad:Nnn { #2 } {.} { #3 } }
+ }
+ }
+ }
+\cs_new_protected:Npn \__nmc_num_pad:Nnn #1#2#3
+ { % pad with 0s: #1 number; #2 point #3 rounding
+ \tl_set:Nx #1 { \exp_last_unbraced:NV
+ \__nmc_num_pad:wnN #1#2\q_stop{ #3 } }
+ }
+\cs_new:Npn \__nmc_num_pad:wnN #1.#2\q_stop#3
+ {
+ \int_if_zero:nTF { #3 } { #1 }
+ { #1.#2\prg_replicate:nn { #3 - \tl_count:n { #2 } } { 0 } }
+ }
+\cs_new_protected:Npn \__nmc_sci_output_aux:wNn #1e#2\q_stop#3#4
+ { % #1e#2=fp input; #3=formatted tl out; #4 = rounding
+ \tl_set:Nx #3
+ { \fp_eval:n { 0 + round( #1, #4 ) } }
+ \__nmc_error_fpflag:
+ \bool_if:NF \g__nmc_error_bool
+ {
+ \int_set:Nn \l__nmc_sci_num_int { #2 }
+ \tl_if_eq:VnT #3 { 10 }
+ {
+ \int_incr:N \l__nmc_sci_num_int
+ \tl_set:Nn #3 { 1 }
+ }
+ \bool_if:NT \l__nmc_pad_zeros_bool
+ {
+ \tl_if_in:NnTF #3 {.}
+ { \__nmc_num_pad:Nnn #3 {} { #4 } }
+ { \__nmc_num_pad:Nnn #3 {.} { #4 } }
+ }
+ \bool_lazy_or:nnT { !\int_if_zero_p:n { \l__nmc_sci_num_int } }
+ { \int_compare_p:nNn { \l__nmc_prime_int } > { 0 } }
+ { \__nmc_sci_write:Nx #3 { \int_use:N \l__nmc_sci_num_int } }
+ }
+ \int_set:Nn \l__nmc_num_sgn_int { \fp_sign:n { #1 } }
+ }
+\cs_new_protected:Npn \__nmc_sci_write:Nn #1#2
+ { % #1 significand #2 exponent
+ \bool_if:NTF \l__nmc_sci_num_x_bool
+ { \tl_put_right:Nn #1 { \times 10^{#2} } }
+ {
+ \bool_if:NTF \l__nmc_sci_num_table_bool
+ { \tl_set:Nx #1 { \__nmc_sci_num_table:nn { #1 } { #2 } } }
+ { \tl_put_right:Nx #1 { \hbox:n { \l__nmc_sci_num_out_tl {#2} } } }
+ }
+ }
+\cs_generate_variant:Nn \__nmc_sci_write:Nn { Nx }
+\cs_new:Npn \__nmc_sci_num_table:nn #1#2
+ { (#2)\exp_not:n {\,}{#1} }
+%%%%%%%%%%%%%% eval-specific routines %%%%%%%%%%%%%%%
+\cs_new:Npn \__nmc_eval_settings_digest:
+ { \bool_set_true:N \l__nmc_allow_TF_out_bool }
+\cs_set_eq:NN \__nmc_eval_vv_digest:N \__nmc_vv_digest:N
+\cs_new_protected:Npn \__nmc_eval_process:
+ {
+ \__nmc_error_where:n { formula }
+ \tl_clear:N \l__nmc_fp_expr_tl
+ \__nmc_fpify:VN \l__nmc_formula_tl \l__nmc_fp_expr_tl
+ \bool_if:NF \g__nmc_error_bool
+ { \__nmc_num_format:nNnN { \l__nmc_fp_expr_tl } \l_nmc_result_tl
+ { \l__nmc_round_int } \l__nmc_sci_num_out_bool }
+ }
+\cs_new_protected:Npn \__nmc_eval_display:
+ {
+ \tl_gset_eq:NN \g__nmc_reuse_tl \l_nmc_result_tl
+ \bool_if:NF \l__nmc_num_only_bool
+ {
+ \tl_set:Nx \l_nmc_result_tl
+ {
+ \exp_not:o \l__nmc_math_delimi_tl
+ \bool_if:NT \l__nmc_wraps_math_bool
+ {
+ \exp_not:o \l__nmc_formula_dup_tl
+ \bool_if:NTF \l__nmc_TF_out_bool
+ { \rightarrow } { = }
+ }
+ \exp_not:o \l_nmc_result_tl
+ \bool_if:NTF \l__nmc_vv_multline_bool
+ { \exp_not:o \l__nmc_vv_display_tl }
+ {
+ \mathchoice{ \exp_not:o \l__nmc_vv_display_tl }
+ { \exp_not:o \l__nmc_vv_inline_tl }{}{}
+ }
+ \l__nmc_punc_tl
+ \exp_not:o \l__nmc_math_delimii_tl
+ }
+ \int_if_zero:nT { \l__nmc_eval_reuse_int }
+ { \tl_gset_eq:NN \g__nmc_reuse_tl \l_nmc_result_tl }
+ }
+ \l_nmc_result_tl
+ }
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+% \__nmc_fpify:nN
+\bool_new:N \l__nmc_insert_aster_bool
+\tl_new:N \l__nmc_subst_tl
+\tl_new:N \l__nmc_accum_tl
+\tl_new:N \l__nmc_arg_tl
+% unary functions
+\tl_new:N \l__nmc_fn_tl
+\tl_new:N \l__nmc_fn_arg_tl
+\tl_new:N \l__nmc_power_arg_tl
+\bool_new:N \l__nmc_hyperbolic_bool
+% factorial
+\fp_new:N \l__nmc_fact_fp
+\tl_new:N \l__nmc_fact_arg_tl
+% n-ary
+\int_new:N \l_tmpc_int
+\int_new:N \l_tmpd_int
+\bool_new:N \l__nmc_comma_nary_bool
+% sqrt
+\tl_new:N \l__nmc_ubrace_n_tl
+% binom
+\tl_new:N \l__nmc_binom_top_tl
+\tl_new:N \l__nmc_binom_bot_tl
+% sum/prod
+\tl_new:N \l__nmc_sum_var_tl
+\tl_new:N \l__nmc_summand_tl
+\tl_new:N \l__nmc_sum_op_tl
+\tl_new:N \l__nmc_sum_type_tl
+\tl_new:N \g__nmc_sum_A_tl
+\bool_new:N \l__nmc_sum_bool
+\int_new:N \l__nmc_sum_index_int
+\int_new:N \l__nmc_sum_end_int
+\int_new:N \l__nmc_sum_round_int
+\int_new:N \l__nmc_suma_int
+\int_new:N \l__nmc_sumb_int
+\fp_new:N \l__nmc_sum_total_fp
+\fp_new:N \l__nmc_sum_prev_fp
+\fp_new:N \l__nmc_sum_rounded_fp
+% #1 = latex expr #2 = fp-ified result
+\cs_new_protected:Npn \__nmc_fpify:nN #1#2
+ {
+ \group_begin:
+ \bool_set_false:N \l__nmc_superscript_bool
+ \bool_set_false:N \l__nmc_insert_aster_bool
+ \tl_clear:N \l__nmc_accum_tl
+ \tl_clear:N \l__nmc_C_tl
+ \tl_set:Nn \l__nmc_A_tl { #1\q_nil }
+ \tl_if_empty:nT { #1 }
+ { \__nmc_error_what:n { Empty~argument~to~fp-ify~in } }
+ \bool_until_do:nn
+ {
+ \quark_if_nil_p:N \l__nmc_C_tl
+ || \g__nmc_error_bool
+ }
+ {
+ \tl_clear:N \l__nmc_arg_tl
+ \__nmc_next:
+ \prop_get:NVNTF \g__nmc_class_prop \l__nmc_B_tl \l_tmpb_tl
+ { \exp_last_unbraced:NV \use_i:nn \l_tmpb_tl }
+ { \__nmc_fpify_unknown: }
+ }
+ \exp_args:NNNV
+ \group_end:
+ \tl_put_right:Nn #2 \l__nmc_accum_tl
+ }
+\cs_generate_variant:Nn \__nmc_fpify:nN { V }
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+\cs_new_protected:Npn \__nmc_fpify_unknown:
+ {
+ \tl_if_in:nVTF { )]\}\rbrace } \l__nmc_B_tl
+ { \__nmc_error_what:n { Unmatched~\__nmc_verb:V \l__nmc_B_tl{}~in } }
+ { \__nmc_error_what:n { Unknown~token~\__nmc_verb:V \l__nmc_B_tl{}~in } }
+ }
+\cs_new_protected:Npn \__nmc_insert_aster:
+ {
+ \bool_if:NT \l__nmc_insert_aster_bool
+ { \tl_put_right:Nn \l__nmc_accum_tl { * } }
+ }
+\cs_new_protected:Npn \__nmc_fpify_dec:
+ {
+ \__nmc_get_dec:NN \l__nmc_fact_arg_tl \c_false_bool
+ \tl_if_eq:VnF \l__nmc_C_tl { ! }
+ {
+ \__nmc_insert_aster:
+ \tl_put_right:NV \l__nmc_accum_tl \l__nmc_fact_arg_tl
+ \bool_set_true:N \l__nmc_insert_aster_bool
+ }
+ }
+\cs_new_protected:Npn \__nmc_fpify_var:
+ { % ( ) in case var < 0 raised to power
+ \prop_get:NVNTF \g__nmc_subst_var_prop \l__nmc_B_tl \l__nmc_subst_tl
+ {
+ \tl_set_eq:NN \l__nmc_fact_arg_tl \l__nmc_subst_tl
+ \tl_if_in:noTF { !' } \l__nmc_C_tl
+ {
+ % \tl_if_eq:VnT \l__nmc_C_tl { ' }
+ % { \__nmc_deriv_dot_from_prime: }
+ }
+ {
+ \__nmc_accum_fn_parenth:NNn \l__nmc_accum_tl \l__nmc_subst_tl {}
+ \bool_set_true:N \l__nmc_insert_aster_bool
+ }
+ }
+ { \__nmc_fpify_unknown: }
+ }
+\cs_new_protected:Npn \__nmc_fpify_const:
+ { % if const used as var
+ \prop_get:NVNTF \g__nmc_subst_var_prop \l__nmc_B_tl \l__nmc_subst_tl
+ { \__nmc_fpify_var: }
+ {
+ \prop_get:NVN \g__nmc_subst_fpfn_prop \l__nmc_B_tl \l__nmc_subst_tl
+ \tl_if_eq:VnTF \l__nmc_C_tl { ! }
+ { \tl_clear:N \l__nmc_fact_arg_tl }
+ { \tl_put_right:NV \l__nmc_accum_tl \l__nmc_subst_tl }
+ \bool_set_true:N \l__nmc_insert_aster_bool
+ }
+ }
+\cs_new_protected:Npn \__nmc_fpify_arith:
+ {
+ \tl_put_right:NV \l__nmc_accum_tl \l__nmc_B_tl
+ \bool_set_false:N \l__nmc_insert_aster_bool
+ }
+\cs_new_protected:Npn \__nmc_fpify_slash:
+ {
+ \tl_put_right:NV \l__nmc_accum_tl \l__nmc_B_tl
+ \__nmc_delim_arg:Nnn \l__nmc_arg_tl { 1 } { \c__nmc_uny_int }
+ \__nmc_accum_fpify_parenth:NN \l__nmc_accum_tl \l__nmc_arg_tl
+ \bool_set_true:N \l__nmc_insert_aster_bool
+ }
+\cs_new_protected:Npn \__nmc_fpify_arith_alt:
+ {
+ \prop_get:NVN \g__nmc_subst_fpfn_prop \l__nmc_B_tl \l__nmc_B_tl
+ \tl_put_right:NV \l__nmc_accum_tl \l__nmc_B_tl
+ \bool_set_false:N \l__nmc_insert_aster_bool
+ }
+\cs_new_protected:Npn \__nmc_fpify_comparison:
+ {
+ \tl_if_in:NVTF \c__nmc_comparisons_tl \l__nmc_C_tl
+ { \__nmc_error_what:n { Multi-token~comparison~in } }
+ {
+ \prop_get:NVNF \g__nmc_subst_fpfn_prop \l__nmc_B_tl \l_tmpa_tl
+ { \tl_set_eq:NN \l_tmpa_tl \l__nmc_B_tl } % < = >
+ \__nmc_delim_arg:Nnn \l__nmc_arg_tl { 1 } { \c__nmc_cmp_int }
+ \tl_clear:N \l_tmpb_tl
+ \__nmc_fpify:VN \l__nmc_arg_tl \l_tmpb_tl
+ \bool_if:NF \g__nmc_error_bool
+ {
+ \__nmc_accum_fn_parenth:NNn \l__nmc_accum_tl \l_tmpb_tl { - }
+ \tl_set:Nx \l__nmc_accum_tl
+ { round( \l__nmc_accum_tl, \int_use:N \l__nmc_round_int ) }
+ \tl_put_right:NV \l__nmc_accum_tl \l_tmpa_tl
+ \tl_put_right:Nn \l__nmc_accum_tl { 0 }
+ }
+ }
+ }
+\cs_new_protected:Npn \__nmc_fpify_andor:
+ {
+ \prop_get:NVN \g__nmc_subst_fpfn_prop \l__nmc_B_tl \l_tmpa_tl
+ \tl_put_right:NV \l__nmc_accum_tl \l_tmpa_tl
+% \tl_show:N \l__nmc_A_tl
+ \__nmc_delim_arg:Nnn \l__nmc_arg_tl { 1 } { \c__nmc_and_int }
+% \tl_show:N \l__nmc_arg_tl
+ \tl_clear:N \l_tmpa_tl
+ \__nmc_fpify:VN \l__nmc_arg_tl \l_tmpa_tl
+ \tl_put_right:NV \l__nmc_accum_tl \l_tmpa_tl
+ \bool_set_false:N \l__nmc_insert_aster_bool
+
+ }
+\cs_new_protected:Npn \__nmc_fpify_lparen:
+ {
+ \__nmc_get_arg_L:VN \l__nmc_B_tl \l__nmc_arg_tl
+ \tl_set_eq:NN \l__nmc_fact_arg_tl \l__nmc_arg_tl
+ \tl_if_eq:VnTF \l__nmc_C_tl { ! }
+ { \bool_set_false:N \l__nmc_insert_aster_bool }
+ {
+ \__nmc_accum_fpify_parenth:NN \l__nmc_accum_tl \l__nmc_arg_tl
+ \bool_set_true:N \l__nmc_insert_aster_bool
+ }
+ }
+\cs_new_protected:Npn \__nmc_fpify_lvert:
+ {
+ \tl_if_eq:VnTF \l__nmc_B_tl { | }
+ {
+ \tl_set:Nn \l__nmc_L_tl { \lvert }
+ \__nmc_absval_arg:N \l__nmc_arg_tl
+ \tl_set:Nn \l__nmc_R_tl { \rvert }
+ }
+ {
+ \tl_set_eq:NN \l__nmc_L_tl \l__nmc_B_tl
+ \__nmc_get_arg_L:VN \l__nmc_B_tl \l__nmc_arg_tl
+ }
+ \__nmc_fpify_lvert_aux:
+ }
+\cs_new_protected:Npn \__nmc_fpify_lvert_aux:
+ {
+ \tl_if_eq:VnTF \l__nmc_C_tl { ! }
+ {
+ \tl_set:NV \l__nmc_fact_arg_tl \l__nmc_L_tl
+ \tl_put_right:NV \l__nmc_fact_arg_tl \l__nmc_arg_tl
+ \tl_put_right:NV \l__nmc_fact_arg_tl \l__nmc_R_tl
+ }
+ {
+ \tl_clear:N \l_tmpa_tl
+ \__nmc_fpify:VN \l__nmc_arg_tl \l_tmpa_tl
+ \str_case:onF \l__nmc_L_tl
+ {
+ { \lvert } { \tl_put_right:Nn \l__nmc_accum_tl { abs( } }
+ { \lceil } { \tl_put_right:Nn \l__nmc_accum_tl { ceil( } }
+ { \lfloor } { \tl_put_right:Nn \l__nmc_accum_tl { floor( } }
+ { | } { \tl_put_right:Nn \l__nmc_accum_tl { abs( } }
+ { / } { \tl_put_right:Nn \l__nmc_accum_tl { / } }
+ }
+ { \tl_put_right:Nn \l__nmc_accum_tl { ( } }
+ \tl_put_right:NV \l__nmc_accum_tl \l_tmpa_tl
+ \tl_if_eq:VnF \l__nmc_R_tl { . }
+ {
+ \tl_put_right:Nn \l__nmc_accum_tl { ) }
+ \bool_set_true:N \l__nmc_insert_aster_bool
+ }
+ }
+ }
+\cs_new_protected:Npn \__nmc_fpify_lmod:
+ {
+ \tl_set_eq:NN \l__nmc_L_tl \l__nmc_B_tl
+ \prop_get:NVN \g__nmc_subst_misc_prop \l__nmc_L_tl \l__nmc_R_tl
+ \str_case:on \l__nmc_C_tl
+ {
+ { | } { \__nmc_fpify_lmod_abs:V \l__nmc_L_tl }
+ { . } { \__nmc_fpify_lmod_aux:V \l__nmc_L_tl }
+ { / }
+ {
+ \tl_put_right:Nn \l__nmc_accum_tl { / }
+ \__nmc_fpify_lmod_aux:V \l__nmc_L_tl
+ }
+ }
+ }
+\cs_new_protected:Npn \__nmc_fpify_lmod_abs:n #1
+ {
+ \__nmc_next:
+ \tl_put_right:Nn \l__nmc_accum_tl { abs( }
+ \exp_args:NNNV\__nmc_get_arg_LR:NNN { #1 } \l__nmc_arg_tl \l__nmc_R_tl
+ \__nmc_next:
+ \tl_clear:N \l_tmpa_tl
+ \__nmc_fpify:VN \l__nmc_arg_tl \l_tmpa_tl
+ \tl_put_right:NV \l__nmc_accum_tl \l_tmpa_tl
+ \tl_put_right:Nn \l__nmc_accum_tl { ) }
+ \bool_set_true:N \l__nmc_insert_aster_bool
+ }
+\cs_generate_variant:Nn \__nmc_fpify_lmod_abs:n { V }
+
+\cs_new_protected:Npn \__nmc_fpify_lmod_aux:n #1
+ {
+ \__nmc_next:
+ \exp_args:NNNV\__nmc_get_arg_LR:NNN #1 \l__nmc_arg_tl \l__nmc_R_tl
+ \tl_if_eq:VnT \l__nmc_C_tl { . }
+ { \__nmc_next: }
+ \tl_clear:N \l_tmpa_tl
+ \__nmc_fpify:VN \l__nmc_arg_tl \l_tmpa_tl
+ \tl_put_right:NV \l__nmc_accum_tl \l_tmpa_tl
+ \bool_set_true:N \l__nmc_insert_aster_bool
+ }
+\cs_generate_variant:Nn \__nmc_fpify_lmod_aux:n { V }
+
+\cs_new_protected:Npn \__nmc_fpify_rmod:
+ {
+ \tl_if_eq:VnT \l__nmc_C_tl { . }
+ { \__nmc_next: }
+ }
+\cs_new_protected:Npn \__nmc_fpify_unary:n #1
+ {
+ \tl_set:NV \l__nmc_fn_tl \l__nmc_B_tl
+ \tl_if_eq:VnTF \l__nmc_C_tl { ^ }
+ { \__nmc_fpify_unary_superscript: }
+ { \prop_get:NVN \g__nmc_subst_fpfn_prop \l__nmc_fn_tl \l__nmc_fn_tl }
+ \str_if_in:NnTF \l__nmc_fn_tl { h }
+ { \bool_set_true:N \l__nmc_hyperbolic_bool }
+ { \bool_set_false:N \l__nmc_hyperbolic_bool }
+ % get fn arg
+ \__nmc_delim_arg:Nnn \l__nmc_arg_tl { 1 } { #1 }
+ \tl_clear:N \l__nmc_fn_arg_tl
+ \__nmc_fpify:VN \l__nmc_arg_tl \l__nmc_fn_arg_tl
+ \bool_if:NT \l__nmc_hyperbolic_bool
+ {
+ \tl_set:Nx \l__nmc_fn_tl
+ { \__nmc_fpify_unary_hyperbolic:N \l__nmc_fn_arg_tl }
+ }
+ % append fn
+ \bool_if:NTF \l__nmc_hyperbolic_bool
+ { \tl_put_right:NV \l__nmc_accum_tl \l__nmc_fn_tl }
+ {
+ \__nmc_accum_fn_parenth:NNn \l__nmc_accum_tl
+ \l__nmc_fn_arg_tl \l__nmc_fn_tl
+ }
+ \bool_if:NT \l__nmc_superscript_bool
+ { % e.g. \sin^{2}
+ \tl_put_right:Nn \l__nmc_accum_tl { ^ }
+ \tl_put_right:NV \l__nmc_accum_tl \l__nmc_power_arg_tl
+ \bool_set_false:N \l__nmc_superscript_bool
+ }
+ \bool_set_true:N \l__nmc_insert_aster_bool
+ }
+\cs_new_protected:Npn \__nmc_fpify_unary_superscript:
+ {
+ \__nmc_next:
+ \tl_clear:N \l__nmc_power_arg_tl
+ \__nmc_fpify_next_braced:N \l__nmc_power_arg_tl
+ \tl_if_eq:VnTF \l__nmc_power_arg_tl { (-1) }
+ { % inverse trig/hyp. function?
+ \prop_get:NVNF \g__nmc_subst_misc_prop \l__nmc_fn_tl \l__nmc_fn_tl
+ {
+ \prop_get:NVN \g__nmc_subst_fpfn_prop
+ \l__nmc_fn_tl \l__nmc_subst_tl
+ \tl_concat:NNN \l__nmc_fn_tl a \l__nmc_subst_tl
+ }
+ }
+ { % not inverse fn
+ \prop_get:NVN \g__nmc_subst_fpfn_prop \l__nmc_fn_tl \l__nmc_fn_tl
+ \bool_set_true:N \l__nmc_superscript_bool
+ }
+ }
+\cs_new:Npn \__nmc_fpify_unary_hyperbolic:N #1
+ {
+ \str_case:on \l__nmc_fn_tl
+ {
+ { sinh } { ( 0.5( exp(#1)- exp(-(#1)) ) ) }
+ { cosh } { ( 0.5( exp(#1) + exp(-(#1)) ) ) }
+ { tanh } { ( (exp(2(#1))-1)/(exp(2(#1))+1) ) }
+ { asinh } { ln( #1 + sqrt((#1)^2+1) ) }
+ { acosh } { ln( #1 + sqrt((#1)^2-1) ) }
+ { atanh } { ( 0.5 ln( (1+(#1))/(1-(#1)) ) ) }
+ { csch } { 1/( 0.5( exp(#1)- exp(-(#1)) ) ) }
+ { sech } { 1/( 0.5( exp(#1) + exp(-(#1)) ) ) }
+ { coth } { ( (exp(2(#1))+1)/(exp(2(#1))-1) ) }
+ { acsch } { ( ln(1/(#1)+sqrt(1/(#1)^2+1)) ) }
+ { asech } { ( ln(1/(#1)+sqrt(1/(#1)^2-1)) ) }
+ { acoth } { ( 0.5 ln( ((#1)+1)/((#1)-1) ) ) }
+ }
+ }
+\cs_new_protected:Npn \__nmc_fpify_power:
+ {
+ \tl_put_right:Nn \l__nmc_accum_tl { ^ }
+ \__nmc_fpify_next_braced:N \l__nmc_accum_tl
+ \bool_set_true:N \l__nmc_insert_aster_bool
+ }
+\cs_new_protected:Npn \__nmc_fpify_frac:
+ {
+ \tl_put_right:Nn \l__nmc_accum_tl { ( }
+ \__nmc_fpify_next_braced:N \l__nmc_accum_tl
+ \tl_put_right:Nn \l__nmc_accum_tl { / }
+ \__nmc_fpify_next_braced:N \l__nmc_accum_tl
+ \tl_put_right:Nn \l__nmc_accum_tl { ) }
+ \bool_set_true:N \l__nmc_insert_aster_bool
+ }
+\cs_new_protected:Npn \__nmc_fpify_unarybrace:
+ {
+ \prop_get:NVN \g__nmc_subst_fpfn_prop \l__nmc_B_tl \l__nmc_subst_tl
+ \tl_if_eq:VnT \l__nmc_C_tl { * }
+ { \__nmc_next: }
+ \tl_if_eq:VnTF \l__nmc_C_tl { [ }
+ { % n-th root
+ \tl_if_eq:VnTF \l__nmc_subst_tl { sqrt }
+ {
+ \__nmc_next:
+ \__nmc_fpify_ubrace_n:
+ }
+ {
+ \__nmc_next: \__nmc_next: \__nmc_next:
+ \__nmc_fpify_ubrace_aux:
+ }
+ }
+ { \__nmc_fpify_ubrace_aux: }
+ \bool_set_true:N \l__nmc_insert_aster_bool
+ }
+\cs_new_protected:Npn \__nmc_fpify_ubrace_aux:
+ {
+ \tl_set_eq:NN \l_tmpa_tl \l__nmc_subst_tl
+ \__nmc_fpify_next_braced:N \l_tmpa_tl
+ \tl_if_eq:VnTF \l__nmc_C_tl { ! }
+ { \__nmc_fpify_ubrace_fact: }
+ { \tl_put_right:NV \l__nmc_accum_tl \l_tmpa_tl }
+ }
+\cs_new_protected:Npn \__nmc_fpify_ubrace_n:
+ {
+ \__nmc_error_where:n { [~]~argument~of~\__nmc_verb:n { \sqrt } }
+ \tl_clear:N \l__nmc_arg_tl
+ \tl_clear:N \l__nmc_ubrace_n_tl
+ \__nmc_get_arg_LR:NNN [ \l__nmc_arg_tl ]
+ \__nmc_fpify:VN \l__nmc_arg_tl \l__nmc_ubrace_n_tl
+ \__nmc_intify:Nn \l__nmc_ubrace_n_tl { 1 }
+ \bool_if:NF \g__nmc_error_bool
+ {
+ \seq_gpop:NN \g__nmc_error_where_seq \l__nmc_toss_tl
+ \__nmc_next:
+ \tl_clear:N \l_tmpa_tl
+ \__nmc_fpify:VN \l__nmc_B_tl \l_tmpa_tl
+ \bool_if:nTF
+ {
+ \fp_compare_p:nNn { \l_tmpa_tl } < { 0 }
+ && \int_if_even_p:n { \l__nmc_ubrace_n_tl }
+ }
+ { \flag_raise:n { fp_invalid_operation } \__nmc_error_fpflag: }
+ {
+ \tl_put_right:Nx \l__nmc_accum_tl
+ { \__nmc_fpify_ubrace_n_aux:VV {\l_tmpa_tl}{ \l__nmc_ubrace_n_tl }}
+ }
+ }
+ }
+\cs_new:Npn \__nmc_fpify_ubrace_n_aux:nn #1#2
+ { sign( #1 )( abs( #1 ) )^( 1/( #2 ) ) }
+\cs_generate_variant:Nn \__nmc_fpify_ubrace_n_aux:nn { VV }
+
+\cs_new_protected:Npn \__nmc_fpify_ubrace_fact:
+ {
+ \tl_if_eq:VnF \l__nmc_subst_tl { sqrt }
+ {
+ \str_case:onT \l__nmc_subst_tl
+ {
+ { abs } { \tl_set:Nn \l__nmc_fact_arg_tl { \abs } }
+ { ceil } { \tl_set:Nn \l__nmc_fact_arg_tl { \ceil } }
+ { floor} { \tl_set:Nn \l__nmc_fact_arg_tl { \floor } }
+ }
+ {
+ \tl_put_right:Nx \l__nmc_fact_arg_tl
+ { { \exp_not:o \l__nmc_B_tl } }
+ }
+ }
+ }
+\cs_new_protected:Npn \__nmc_fpify_unarysub:
+ { % e.g. \log_{10}
+ \str_if_eq:VnTF \l__nmc_C_tl { _ }
+ {
+ \__nmc_next: \__nmc_next:
+ \__nmc_fpify_unarysub:N \l__nmc_B_tl
+ }
+ { \__nmc_fpify_unarysub:N \l__nmc_log_base_tl }
+ }
+\cs_new_protected:Npn \__nmc_fpify_unarysub:N #1
+ {
+ \__nmc_fpify:VN #1 \l__nmc_arg_tl
+ \bool_if:NF \g__nmc_error_bool
+ {
+ \fp_compare:nF { 0 < \l__nmc_arg_tl != 1 }
+ {
+ \__nmc_error_what:n
+ { Valid~base~required~for~\__nmc_verb:n { \log } in }
+ }
+ }
+ \bool_if:NF \g__nmc_error_bool
+ {
+ \tl_set:Nx \l_tmpa_tl
+ { \fp_eval:n { 1 / ( ln ( \l__nmc_arg_tl ) ) } }
+ \__nmc_error_fpflag:
+ }
+ \bool_if:NF \g__nmc_error_bool
+ {
+ \__nmc_accum_fn_parenth:NNn \l__nmc_accum_tl \l_tmpa_tl {}
+ \tl_put_left:Nn \l__nmc_A_tl { \ln }
+ }
+ }
+\cs_new_protected:Npn \__nmc_fpify_surd:
+ {
+ \prop_get:NVN \g__nmc_subst_fpfn_prop \l__nmc_B_tl \l__nmc_subst_tl
+ \tl_put_right:NV \l__nmc_accum_tl \l__nmc_subst_tl
+ \tl_clear:N \l__nmc_arg_tl
+ \__nmc_delim_arg:Nnn \l__nmc_arg_tl { 1 } { \c__nmc_srd_int }
+ \__nmc_parenth:N \l__nmc_arg_tl
+ \__nmc_fpify:VN \l__nmc_arg_tl \l__nmc_accum_tl
+ \bool_set_true:N \l__nmc_insert_aster_bool
+ }
+\cs_new_protected:Npn \__nmc_fpify_fact:
+ {
+ \__nmc_error_where:n { factorial }
+ \tl_clear:N \l_tmpa_tl
+ \__nmc_fpify:VN \l__nmc_fact_arg_tl \l_tmpa_tl
+ \tl_if_eq:VnTF \l__nmc_C_tl { ! }
+ { \__nmc_fpify_fact_repeated: }
+ {
+ \__nmc_intify:Nn \l_tmpa_tl { 0 }
+ \bool_if:NF \g__nmc_error_bool
+ {
+ \seq_gpop:NN \g__nmc_error_where_seq \l__nmc_toss_tl
+ \__nmc_accum_fn_parenth:NNn \l__nmc_accum_tl \l_tmpa_tl { fact }
+ }
+ }
+ \bool_set_true:N \l__nmc_insert_aster_bool
+ }
+\cs_new_protected:Npn \__nmc_fpify_fact_repeated:
+ {
+ \__nmc_intify:Nn \l_tmpa_tl { -1 }
+ \bool_if:NF \g__nmc_error_bool
+ {
+ \seq_gpop:NN \g__nmc_error_where_seq \l__nmc_toss_tl
+ \__nmc_fpify_double_fact:N \l_tmpa_tl
+ \tl_set:Nx \l_tmpa_tl { \fp_use:N \l__nmc_fact_fp }
+ \tl_if_eq:VnTF \l__nmc_C_tl { ! }
+ { \tl_set_eq:NN \l__nmc_fact_arg_tl \l_tmpa_tl }
+ { \__nmc_accum_fn_parenth:NNn \l__nmc_accum_tl \l_tmpa_tl {} }
+ }
+ }
+\cs_new_protected:Npn \__nmc_fpify_double_fact:N #1
+ {
+ \__nmc_next:
+ \int_compare:nNnTF { #1 } > { 0 }
+ {
+ \int_if_even:nTF { #1 }
+ { \__nmc_fpify_fact_do:nNn { 2 } #1 { 2 } }
+ { \__nmc_fpify_fact_do:nNn { 1 } #1 { 2 } }
+ }
+ { \fp_set:Nn \l__nmc_fact_fp { 1 } }
+ }
+% multiply nos from #1 to #2, put in \l__nmc_fact_fp
+% #3 = 1 (!), = 2 (!!)
+\cs_new_protected:Npn \__nmc_fpify_fact_do:nNn #1#2#3
+ {
+ \fp_set:Nn \l_tmpa_fp { #1 }
+ \fp_set:Nn \l_tmpb_fp { #2 }
+ \int_set:Nn \l_tmpb_int { #3 }
+ \fp_set_eq:NN \l__nmc_fact_fp \l_tmpa_fp
+ \fp_while_do:nNnn { \l_tmpa_fp } < { \l_tmpb_fp }
+ {
+ \fp_add:Nn \l_tmpa_fp { \l_tmpb_int }
+ \fp_set:Nn \l__nmc_fact_fp { \l__nmc_fact_fp * \l_tmpa_fp }
+ }
+ }
+\cs_new_protected:Npn \__nmc_fpify_nary:
+ {
+ \bool_set_true:N \l__nmc_comma_nary_bool
+ \str_case:on \l__nmc_B_tl
+ {
+ { \gcd } { \__nmc_fpify_nary_gcd: }
+ { \max } { \__nmc_fpify_nary_maxmin: }
+ { \min } { \__nmc_fpify_nary_maxmin: }
+ }
+ \bool_set_false:N \l__nmc_comma_nary_bool
+ }
+\cs_new_protected:Npn \__nmc_fpify_nary_gcd:
+ {
+ \__nmc_insert_aster:
+ \__nmc_delim_arg:Nnn \l__nmc_arg_tl { 1 } { \c_max_int }
+ \tl_set:Nx \l__nmc_arg_tl { \tl_range:Nnn \l__nmc_arg_tl { 2 } { -2 } }
+ \tl_clear:N \l_tmpa_tl
+ \__nmc_fpify:VN \l__nmc_arg_tl \l_tmpa_tl
+ \seq_set_split:NnV \l_tmpa_seq {,} \l_tmpa_tl
+ % eval. 1st expr.
+ \seq_pop:NN \l_tmpa_seq \l_tmpb_tl
+ \int_set:Nn \l_tmpb_int { \fp_to_int:n \l_tmpb_tl }
+ \seq_map_inline:Nn \l_tmpa_seq
+ {
+ \int_set:Nn \l_tmpd_int { \fp_to_int:n { ##1 } }
+ \int_set:Nn \l_tmpa_int { \int_max:nn { \l_tmpd_int } { \l_tmpb_int } }
+ \int_set:Nn \l_tmpb_int { \int_min:nn { \l_tmpd_int } { \l_tmpb_int } }
+ \int_set:Nn \l_tmpc_int { \int_mod:nn { \l_tmpa_int } { \l_tmpb_int } }
+
+ \int_until_do:nNnn { \l_tmpc_int } = { 0 }
+ {
+ \int_set_eq:NN \l_tmpa_int \l_tmpb_int
+ \int_set_eq:NN \l_tmpb_int \l_tmpc_int
+ \int_set:Nn \l_tmpc_int { \int_mod:nn
+ { \l_tmpa_int } { \l_tmpb_int } }
+ }
+ }
+ \tl_put_right:Nx \l__nmc_accum_tl { \int_use:N \l_tmpb_int }
+ \bool_set_false:N \l__nmc_insert_aster_bool
+ }
+\cs_new_protected:Npn \__nmc_fpify_nary_maxmin:
+ {
+ \prop_get:NVN \g__nmc_subst_fpfn_prop \l__nmc_B_tl \l__nmc_subst_tl
+ \__nmc_delim_arg:Nnn \l__nmc_arg_tl { 1 } { \c_max_int }
+ \tl_clear:N \l_tmpa_tl
+ \__nmc_fpify:VN \l__nmc_arg_tl \l_tmpa_tl
+ % em-brace in case nested
+ \tl_put_right:Nx \l__nmc_accum_tl
+ { { \l__nmc_subst_tl \exp_not:o \l_tmpa_tl } }
+ \bool_set_true:N \l__nmc_insert_aster_bool
+ }
+\cs_new_protected:Npn \__nmc_fpify_comma:
+ {
+ \tl_put_right:Nn \l__nmc_accum_tl { , }
+ \bool_set_false:N \l__nmc_insert_aster_bool
+ }
+\cs_new_protected:Npn \__nmc_fpify_binom:
+ {
+ \__nmc_fpify_next_braced:N \l__nmc_binom_top_tl
+ \__nmc_fpify_next_braced:N \l__nmc_binom_bot_tl
+ \__nmc_error_where:n { 2nd~argument~of~\__nmc_verb:n { \binom } }
+ \__nmc_intify:Nn \l__nmc_binom_bot_tl { 0 }
+ \bool_if:NF \g__nmc_error_bool
+ {
+ \seq_gpop:NN \g__nmc_error_where_seq \l__nmc_toss_tl
+ \__nmc_fpify_binom_calc:NN
+ \l__nmc_binom_top_tl \l__nmc_binom_bot_tl
+ }
+ }
+\cs_new_protected:Npn \__nmc_fpify_binom_calc:NN #1 #2
+ {
+ \tl_put_right:Nn \l__nmc_accum_tl { ( }
+ \int_if_zero:nTF { #2 }
+ { \tl_put_right:Nn \l__nmc_accum_tl { 1 } }
+ { % calc. top
+ \__nmc_fpify_binom_calc_do:nN { #1 - #2 + 1 } #1
+ \tl_put_right:Nn \l__nmc_accum_tl { / }
+ \__nmc_fpify_binom_calc_do:nN { 1 } #2 % calc. bot.
+ }
+ \tl_put_right:Nn \l__nmc_accum_tl { ) }
+ }
+\cs_new_protected:Npn \__nmc_fpify_binom_calc_do:nN #1 #2
+ {
+ \__nmc_fpify_fact_do:nNn { #1 } #2 { 1 }
+ \tl_put_right:Nx \l__nmc_accum_tl { \fp_use:N \l__nmc_fact_fp }
+ }
+\cs_new_protected:Npn \__nmc_fpify_BE:
+ {
+ \__nmc_next:
+ \tl_if_in:VnT \l__nmc_B_tl { alignat }
+ { \__nmc_next: }
+ }
+% \cs { m }
+\cs_new_protected:Npn \__nmc_fpify_absorbm:
+ { \__nmc_next: }
+% \cs { o m }
+\cs_new_protected:Npn \__nmc_fpify_absorbom:
+ {
+ \str_if_eq:VnT \l__nmc_C_tl { [ }
+ {
+ \__nmc_next:
+ \__nmc_get_arg_LR:NNN [ \l__nmc_toss_tl ]
+ }
+ \__nmc_next:
+ }
+\cs_new_protected:Npn \__nmc_fpify_font:
+ { \__nmc_fpify_meta: }
+
+\cs_new_protected:Npn \__nmc_fpify_meta:
+ {
+ \__nmc_next:
+ \__nmc_fpify:VN \l__nmc_B_tl \l__nmc_accum_tl
+ }
+\cs_new_protected:Npn \__nmc_fpify_metamm:
+ { \prg_replicate:nn { 2 } { \__nmc_fpify_meta: } }
+%%%%%%%%%%%%%%%%%%%
+% sum/prod
+\cs_new_protected:Npn \__nmc_fpify_sum:
+ {
+ \__nmc_insert_aster:
+ \group_begin:
+ \tl_if_eq:VnTF \l__nmc_B_tl { \sum }
+ { % sum
+ \tl_set:Nn \l__nmc_sum_op_tl { + }
+ \fp_zero:N \l__nmc_sum_total_fp
+ \fp_set:Nn \l__nmc_sum_prev_fp { 1 }
+ \tl_set:Nn \l__nmc_sum_type_tl { sum }
+ \bool_set_true:N \l__nmc_sum_bool
+ }
+ { % product
+ \tl_set:Nn \l__nmc_sum_op_tl { * }
+ \fp_set:Nn \l__nmc_sum_total_fp { 1 }
+ \fp_set:Nn \l__nmc_sum_prev_fp { 2 }
+ \tl_set:Nn \l__nmc_sum_type_tl { product }
+ \bool_set_false:N \l__nmc_sum_bool
+ }
+ \__nmc_error_where:n { \l__nmc_sum_type_tl }
+
+ \bool_if:NF \g__nmc_error_bool
+ {
+ \__nmc_error_where:n { \l__nmc_sum_type_tl~\ limits }
+ \__nmc_sum_get_limits:NNN \l__nmc_sum_var_tl
+ \l__nmc_sum_index_int \l__nmc_sum_end_int
+ }
+ \bool_if:NTF \g__nmc_error_bool
+ { \group_end: }
+ { % get the summand/multiplicand
+ \__nmc_delim_arg:Nnn \l__nmc_arg_tl { 1 } { \c__nmc_sum_int }
+ \tl_if_eq:VnF \l__nmc_C_tl { ( }
+ { \__nmc_parenth:N \l__nmc_arg_tl }
+ \tl_set_eq:NN \l__nmc_summand_tl \l__nmc_arg_tl
+ % do the sum/prod; result in \l__nmc_sum_total_fp
+ \__nmc_error_where:n { \l__nmc_sum_type_tl }
+ \__nmc_sum_do:nnN { \l__nmc_sum_index_int }
+ { \l__nmc_sum_end_int } \l__nmc_sum_total_fp
+ \fp_gset_eq:NN \g_tmpa_fp \l__nmc_sum_total_fp
+ \tl_gset_eq:NN \g_tmpa_tl \l__nmc_A_tl
+ \exp_args:NNNV
+ \group_end:
+ \tl_set:Nn \l__nmc_C_tl \l__nmc_C_tl
+ \tl_put_right:Nx \l__nmc_accum_tl { \fp_use:N \g_tmpa_fp }
+ \tl_set_eq:NN \l__nmc_A_tl \g_tmpa_tl
+ \bool_set_false:N \l__nmc_insert_aster_bool
+ }
+ }
+\cs_new_protected:Npn \__nmc_sum_get_limits:NNN #1#2#3
+ { % #1 (tl) sum var #2, #3 (ints) lower, upper limits
+ \str_if_eq:VnTF \l__nmc_C_tl { _ }
+ {
+ \__nmc_sum_limit_lower:NN #1#2
+ \bool_if:NF \g__nmc_error_bool
+ { \__nmc_sum_limit_upper:N #3 }
+ }
+ {
+ \__nmc_sum_limit_upper:N #3
+ \__nmc_sum_limit_lower:NN #1#2
+ }
+ }
+\cs_new_protected:Npn \__nmc_sum_limit_lower:NN #1#2
+ {
+ \__nmc_next: \__nmc_next:
+ \bool_if:NT \l__nmc_multitok_bool
+ { % may not be in vv-list
+ \seq_clear:N \l_tmpc_seq
+ \seq_push:NV \l_tmpc_seq \l__nmc_B_tl
+ \__nmc_prep_multitok:NN \l_tmpc_seq \l__nmc_A_tl
+ \seq_pop:NN \l_tmpc_seq \l__nmc_B_tl
+ }
+ \str_if_in:NnTF \l__nmc_B_tl { = }
+ {
+ \__nmc_vv_get_vars_vals_lims:NN \l__nmc_B_tl \c_empty_prop
+ \tl_set_eq:NN #1 \l__nmc_eq_var_tl
+ \__nmc_sum_limit_assign:NN #2 \l__nmc_vv_fp_expr_tl
+ \seq_if_in:NVF \l__nmc_calc_fn_seq \l__nmc_B_tl
+ { \seq_put_left:NV \l__nmc_calc_fn_seq \l__nmc_B_tl }
+ }
+ {
+ \__nmc_error_what:n
+ { No~\__nmc_verb:V \l__nmc_sum_type_tl\ variable~in }
+ }
+ }
+\cs_new_protected:Npn \__nmc_sum_limit_upper:N #1
+ {
+ \__nmc_next: \__nmc_next:
+ \__nmc_vv_get_vars_vals_lims:NN \l__nmc_B_tl \c_empty_prop
+ \__nmc_sum_limit_assign:NN #1 \l__nmc_vv_fp_expr_tl
+ }
+\cs_new_protected:Npn \__nmc_sum_limit_assign:NN #1#2
+ {
+ \tl_if_in:VnTF #2 { inf }
+ { \int_set:Nn #1 { \fp_sign:n { #2 } * \c_max_int } }
+ {
+ \fp_compare:nNnTF { abs(#2) } > { \c_max_int }
+ { \int_set:Nn #1 { \fp_sign:n { #2 } * \c_max_int } }
+ {
+ \__nmc_intify:Nn #2 { -inf }
+ \bool_if:NF \g__nmc_error_bool
+ { \int_set:Nn #1 { #2 } }
+ }
+ }
+ }
+\cs_new_protected:Npn \__nmc_sum_do:nnN #1#2#3
+ { % #1,#2 lower, upper limits (int), #3 <-- total (fp)
+ \int_compare:nNnTF { \c_max_int } =
+ { \int_max:nn { \int_abs:n { #1 } } { \int_abs:n { #2 } } }
+ {
+ \bool_if:NTF \l__nmc_sum_bool
+ { \__nmc_sum_do_infinite:Nn #1 { sum } }
+ { \__nmc_sum_do_infinite:Nn #1 { prod } }
+ }
+ { \int_step_function:nnnN { #1 } { 1 } { #2 } \__nmc_sum_eval:n }
+ \bool_if:NF \g__nmc_error_bool
+ {
+ \int_compare:nTF { #1 <= #2 }
+ { \fp_set:Nn #3 { \l__nmc_sum_total_fp } }
+ {
+ \tl_if_eq:VnTF \l__nmc_sum_op_tl { * }
+ { \fp_set:Nn #3 { 1 } }
+ { \fp_set:Nn #3 { 0 } }
+ }
+ }
+ }
+\cs_set:Npn \__nmc_sum_do_infinite:Nn #1#2
+ {
+ \int_set:Nn \l__nmc_sum_round_int
+ { \l__nmc_round_int + \use:c { l__nmc_#2_extra_int } }
+ \int_set:Nn \l__nmc_suma_int { #1 - 1 }
+ % check loop
+ \bool_do_while:nn { \l__nmc_sum_cont_bool }
+ { % main loop
+ \bool_set_false:N \l__nmc_sum_cont_bool
+ \fp_until_do:nNnn { \l__nmc_sum_prev_fp }
+ = { \l__nmc_sum_rounded_fp }
+ {
+ \int_incr:N \l__nmc_suma_int
+ \fp_set_eq:NN \l__nmc_sum_prev_fp \l__nmc_sum_rounded_fp
+ \__nmc_sum_eval:n { \l__nmc_suma_int }
+ \fp_set:Nn \l__nmc_sum_rounded_fp
+ { round( \l__nmc_sum_total_fp, \l__nmc_sum_round_int ) }
+ }
+ % query terms
+ \int_set:Nn \l__nmc_sumb_int
+ { \l__nmc_suma_int + \use:c { l__nmc_#2_query_int } }
+ \int_while_do:nNnn { \l__nmc_suma_int } < { \l__nmc_sumb_int }
+ {
+ \int_incr:N \l__nmc_suma_int
+ \__nmc_sum_query:n { \l__nmc_suma_int }
+ }
+ }
+ \tl_gset:cx { g__nmc_ \tl_range:Nnn \l__nmc_sum_type_tl{1}{4} _info_tl }
+ { \int_eval:n { \l__nmc_suma_int - #1
+ - \use:c { l__nmc_#2_query_int } } }
+ }
+\cs_new_protected:Npn \__nmc_sum_eval:n #1
+ {
+ \__nmc_calc_fn_val:VNnN \l__nmc_sum_var_tl \l__nmc_summand_tl
+ { #1 } \l_tmpb_fp
+ \fp_set:Nn \l__nmc_sum_total_fp
+ { \l__nmc_sum_total_fp \l__nmc_sum_op_tl \l_tmpb_fp }
+ }
+\cs_new_protected:Npn \__nmc_sum_query:n #1
+ {
+ \__nmc_sum_eval:n { #1 }
+ \fp_set:Nn \l__nmc_sum_rounded_fp
+ { round( \l__nmc_sum_total_fp, \l__nmc_sum_round_int ) }
+ \fp_compare:nNnF { \l__nmc_sum_prev_fp } = { \l__nmc_sum_rounded_fp }
+ {
+ \bool_set_true:N \l__nmc_sum_cont_bool
+ \int_set_eq:NN \l__nmc_sumb_int \l__nmc_suma_int
+ }
+ }
+\cs_new_protected:Npn \__nmc_fpify_cmd:
+ {
+ \__nmc_insert_aster:
+ \str_case:onT \l__nmc_B_tl
+ {
+ { \eval } { \__nmc_cmd:n { eval } }
+ { \iter } { \__nmc_cmd:n { iter } }
+ { \solve } { \__nmc_cmd:n { solve } }
+ { \recur } { \__nmc_cmd:n { recur } }
+ { \tabulate } { \__nmc_cmd:n { table } }
+ { \nmcInfo } { \nmcInfo }
+ { \nmcEvaluate } { \__nmc_cmd:n { eval } }
+ { \nmcIterate } { \__nmc_cmd:n { iter } }
+ { \nmcSolve } { \__nmc_cmd:n { solve } }
+ { \nmcRecur } { \__nmc_cmd:n { recur } }
+ { \nmcTabulate } { \__nmc_cmd:n { table } }
+ }
+ {
+ \bool_set_false:N \l__nmc_insert_aster_bool
+ \bool_set_false:N \l__nmc_wraps_math_bool
+ }
+ }
+\cs_new_protected:Npn \__nmc_cmd:n #1
+ { % \cm { s O m O O }
+ \tl_set:Nn \l__nmc_delim_arg_tl { { #1 } } % cmd
+ \tl_if_eq:VnT \l__nmc_C_tl { * }
+ { \__nmc_next: }
+ \__nmc_append_sqbrarg: % settings
+ \__nmc_next:
+ \tl_put_right:Nx \l__nmc_delim_arg_tl { { \exp_not:o \l__nmc_B_tl } }
+ \__nmc_append_sqbrarg: % vv-list
+ \__nmc_append_sqbrarg: % num format
+ \tl_put_right:Nn \l__nmc_accum_tl { ( }
+ \group_begin:
+ \bool_set_true:N \l__nmc_num_only_bool
+ \exp_last_unbraced:No \__nmc_get_inputs:nnnnn \l__nmc_delim_arg_tl
+ \bool_set_false:N \l__nmc_sci_num_out_bool
+ \bool_if:NF \g__nmc_error_bool
+ { \use:c { __nmc_#1_process: } }
+ \exp_args:NNNV
+ \group_end:
+ \tl_put_right:Nn \l__nmc_accum_tl { \l_nmc_result_tl ) }
+ }
+\cs_new_protected:Npn \__nmc_append_sqbrarg:
+ {
+ \tl_if_eq:VnTF \l__nmc_C_tl { [ }
+ { \__nmc_append_sqbrarg_aux: }
+ { \tl_put_right:Nx \l__nmc_delim_arg_tl { {} } }
+ }
+\cs_new_protected:Npn \__nmc_append_sqbrarg_aux:
+ {
+ \__nmc_next:
+ \tl_clear:N \l_tmpa_tl
+ \__nmc_get_arg_LR:NNN [ \l_tmpa_tl ]
+ \tl_put_right:Nx \l__nmc_delim_arg_tl { { \exp_not:o \l_tmpa_tl } }
+ }
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+% \nmc_delim_arg:Nnn
+\tl_new:N \l__nmc_delim_arg_tl
+\tl_new:N \l__nmc_delim_argi_tl
+\int_new:N \l__nmc_delim_pas_int
+\int_new:N \l__nmc_delim_pos_int
+\bool_new:N \l__nmc_delim_stop_bool
+\bool_new:N \l__nmc_delim_lmod_bool
+
+\prg_new_conditional:Npnn \__nmc_if_pospas_gtr:nn #1#2 { p, TF }
+ {
+ \bool_if:nTF
+ {
+ \int_compare_p:nNn { \l__nmc_delim_pos_int } > { #1 }
+ &&
+ \int_compare_p:nNn { \l__nmc_delim_pas_int } > { #2 }
+ }
+ { \prg_return_true: }
+ { \prg_return_false: }
+ }
+%--------------------------------------------------------------------
+% #1(tlvar) receives arg (\l__nmc_delim_arg_tl)
+% #2 (int) initial pos
+% #3 (int) parsing state
+\cs_new_protected:Npn \__nmc_delim_arg:Nnn #1#2#3
+ {
+ \group_begin:
+ \bool_set_false:N \__nmc_delim_stop_bool
+ \bool_set_false:N \l__nmc_delim_lmod_bool
+ \int_set:Nn \l__nmc_delim_pos_int { #2 }
+ \int_set:Nn \l__nmc_delim_pas_int { #3 }
+ \tl_clear:N \l__nmc_delim_arg_tl
+ \bool_until_do:nn
+ {
+ \l__nmc_delim_stop_bool ||
+ \quark_if_nil_p:N \l__nmc_C_tl
+ }
+ {
+ \prop_get:NVNTF \g__nmc_class_prop \l__nmc_C_tl \l__nmc_class_tl
+ { \exp_last_unbraced:NV \use_ii:nn \l__nmc_class_tl }
+ { \__nmc_delim_var: } % unknown; treat as var
+ \int_incr:N \l__nmc_delim_pos_int
+ }
+ \tl_gset_eq:NN \g_tmpa_tl \l__nmc_A_tl
+ \tl_gset_eq:NN \g_tmpb_tl \l__nmc_delim_arg_tl
+ \exp_args:NNNV
+ \group_end:
+ \tl_set:Nn \l__nmc_C_tl \l__nmc_C_tl
+ \tl_set_eq:NN \l__nmc_A_tl \g_tmpa_tl
+ \tl_set_eq:NN #1 \g_tmpb_tl
+ }
+%%%%%%%%% delimit arg routines %%%%%%%%
+\cs_new_protected:Npn \__nmc_delim_stop:
+ {
+ \tl_if_eq:VnTF \l__nmc_C_tl { \q }
+ { \bool_set_false:N \l__nmc_delim_stop_bool }
+ { \bool_set_true:N \l__nmc_delim_stop_bool }
+ }
+\cs_new_protected:Npn \__nmc_delim_stop_if_gtr:n #1
+ {
+ \int_compare:nNnT { \l__nmc_delim_pas_int } > { #1 }
+ { \__nmc_delim_stop: }
+ }
+\cs_new_protected:Npn \__nmc_delim_append:
+ {
+ \__nmc_next:
+ \tl_put_right:NV \l__nmc_delim_arg_tl \l__nmc_B_tl
+ }
+\cs_new_protected:Npn \__nmc_delim_append_braced:
+ {
+ \__nmc_next:
+ \tl_put_right:Nx \l__nmc_delim_arg_tl { { \exp_not:o\l__nmc_B_tl } }
+ }
+\cs_new_protected:Npn \__nmc_delim_append_twobraced:
+ {
+ \__nmc_delim_append:
+ \__nmc_delim_append_braced:
+ \__nmc_delim_append_braced:
+ }
+\cs_new_protected:Npn \__nmc_delim_append_sqbra:
+ {
+ \__nmc_next:
+ \tl_clear:N \l_tmpa_tl
+ \__nmc_get_arg_LR:NNN [ \l_tmpa_tl ]
+ \__nmc_put_right_wrap:NnNn \l__nmc_delim_arg_tl
+ { [ } \l_tmpa_tl { ] }
+ }
+\cs_new_protected:Npn \__nmc_delim_dec:
+ {
+ \__nmc_if_pospas_gtr:nnTF { 1 } { \c__nmc_uny_int }
+ { \__nmc_delim_stop: }
+ {
+ \__nmc_next:
+ \__nmc_get_dec:NN \l_tmpa_tl \c_true_bool
+ \tl_put_right:NV \l__nmc_delim_arg_tl \l_tmpa_tl
+ }
+ }
+\cs_new_protected:Npn \__nmc_delim_var:
+ {
+ \__nmc_if_pospas_gtr:nnTF { 1 } { \c__nmc_uny_int }
+ { \__nmc_delim_stop: }
+ { \__nmc_delim_append: }
+ }
+\cs_new_protected:Npn \__nmc_delim_const:
+ {
+ \__nmc_if_pospas_gtr:nnTF { 1 } { \c__nmc_uny_int }
+ { \__nmc_delim_stop: }
+ { \__nmc_delim_append: }
+ }
+\cs_new_protected:Npn \__nmc_delim_arith:
+ {
+ \__nmc_if_pospas_gtr:nnTF { 1 } { \c__nmc_sum_int }
+ { \__nmc_delim_stop: }
+ { \__nmc_delim_append: }
+ }
+\cs_new_protected:Npn \__nmc_delim_pm:
+ {
+ \__nmc_if_pospas_gtr:nnTF { 1 } { \c__nmc_cmp_int }
+ { \__nmc_delim_stop: }
+ { \__nmc_delim_append: }
+ }
+\cs_new_protected:Npn \__nmc_delim_comparison:
+ {
+ \int_compare:nNnT { \l__nmc_delim_pas_int } = { \c__nmc_cmp_int }
+ {
+ \tl_put_left:NV \l__nmc_A_tl \l__nmc_delim_arg_tl
+ \tl_put_left:Nn \l__nmc_A_tl { \land }
+ \tl_put_left:Nn \l__nmc_C_tl { \land }
+ }
+ \__nmc_if_pospas_gtr:nnTF { 1 } { \c__nmc_and_int }
+ { \__nmc_delim_stop: }
+ {
+ \__nmc_delim_append:
+ \__nmc_delim_arg:Nnn \l__nmc_delim_argi_tl { 1 } { \c__nmc_cmp_int }
+ \tl_put_right:NV \l__nmc_delim_arg_tl \l__nmc_delim_argi_tl
+ }
+ }
+\cs_new_protected:Npn \__nmc_delim_andor:
+ { \__nmc_delim_stop: }
+
+\cs_new_protected:Npn \__nmc_delim_lparen:
+ {
+ \bool_lazy_or:nnTF { \__nmc_if_pospas_gtr_p:nn { 1 } { \c__nmc_trg_int } }
+ { \__nmc_if_pospas_gtr_p:nn { \l__nmc_posi_int } { \c__nmc_sum_int } }
+ { \__nmc_delim_stop: }
+ {
+ \__nmc_next:
+ \str_case:on \l__nmc_B_tl
+ {
+ { ( } { \__nmc_delim_lparen:nn { ( } { ) } }
+ { [ } { \__nmc_delim_lparen:nn { [ } { ] } }
+ { \{ } { \__nmc_delim_lparen:nn {\{ } {\} } }
+ { \lparen } { \__nmc_delim_lparen:nn { \lparen } { \rparen } }
+ { \lbrack } { \__nmc_delim_lparen:nn { \lbrack } { \rbrack } }
+ { \lbrace } { \__nmc_delim_lparen:nn { \lbrace } { \rbrace } }
+ }
+ \__nmc_delim_lparen_auxi:n { \l__nmc_posi_int }
+ }
+ }
+\cs_new_protected:Npn \__nmc_delim_lparen:nn #1#2
+ {
+ \tl_put_right:Nn \l__nmc_delim_arg_tl { ( }
+ \__nmc_get_arg_LR:NNN #1 \l__nmc_delim_arg_tl #2
+ \bool_if:NT \l__nmc_delim_lmod_bool
+ {
+ \tl_set:Nx \l__nmc_delim_arg_tl
+ { \tl_range:Nnn \l__nmc_delim_arg_tl { 1 } { -2 } }
+ }
+ \tl_put_right:Nn \l__nmc_delim_arg_tl { ) }
+ \int_incr:N \l__nmc_delim_pos_int
+ }
+\cs_generate_variant:Nn \__nmc_delim_lparen:nn { VV }
+
+\cs_new_protected:Npn \__nmc_delim_lparen_auxi:n #1
+ { % #1 is first pos.
+ \int_compare:nNnTF { \l__nmc_delim_pas_int } = { \c__nmc_trg_int }
+ { % +1 to prevent ( )( )
+ \__nmc_delim_arg:Nnn
+ \l__nmc_delim_argi_tl { #1 + 1 } { \c__nmc_trg_int }
+ }
+ {
+ \int_compare:nNnT { \l__nmc_delim_pas_int } = { \c__nmc_uny_int }
+ {
+ \__nmc_delim_arg:Nnn
+ \l__nmc_delim_argi_tl { 2 } { \c__nmc_prn_int }
+ }
+ }
+ \tl_put_right:NV \l__nmc_delim_arg_tl \l__nmc_delim_argi_tl
+ \__nmc_delim_stop_if_gtr:n { \c__nmc_sum_int }
+ }
+\cs_new_protected:Npn \__nmc_delim_rparen:
+ {
+ \__nmc_if_pospas_gtr:nnTF { 1 } { \c__nmc_cmp_int }
+ { \__nmc_delim_stop: }
+ {
+ \__nmc_next:
+ \tl_put_right:NV \l__nmc_delim_arg_tl \l__nmc_B_tl
+ }
+ }
+\cs_new_protected:Npn \__nmc_delim_lvert:
+ {
+ \__nmc_if_pospas_gtr:nnTF { 1 } { \c__nmc_sum_int }
+ { \__nmc_delim_stop: }
+ {
+ \__nmc_next:
+ \tl_put_right:NV \l__nmc_delim_arg_tl \l__nmc_B_tl
+ \str_case:on \l__nmc_B_tl
+ {
+ { \lvert } { \__nmc_delim_lvert:nn { \lvert } { \rvert } }
+ { \lceil } { \__nmc_delim_lvert:nn { \lceil } { \rceil } }
+ { \lfloor } { \__nmc_delim_lvert:nn { \lfloor } { \rfloor } }
+ { | }
+ {
+ \__nmc_absval_arg:N \l__nmc_delim_arg_tl
+ \tl_put_right:Nn \l__nmc_delim_arg_tl { | }
+ }
+ }
+ \__nmc_delim_lparen_auxi:n { 0 }
+ }
+ }
+\cs_new_protected:Npn \__nmc_delim_lvert:nn #1#2
+ {
+ \__nmc_delim_lparen:nn { #1 } { #2 }
+ \tl_put_right:Nn \l__nmc_delim_arg_tl { #2 }
+ }
+\cs_new_protected:Npn \__nmc_delim_lmod:
+ {
+ \bool_lazy_and:nnT { \int_compare_p:nNn { \l__nmc_posi_int } < { 3 } }
+ { \int_compare_p:nNn { \l__nmc_delim_pas_int } = { \l__nmc_trg_int } }
+ { \int_incr:N \l__nmc_delim_pas_int }
+ \__nmc_if_pospas_gtr:nnTF { \l__nmc_posi_int } { \l__nmc_trg_int }
+ { \__nmc_delim_stop: }
+ {
+ \__nmc_next:
+ \tl_if_in:NVTF \c__nmc_modds_tl \l__nmc_C_tl
+ {
+ \prop_get:NVN \g__nmc_subst_misc_prop \l__nmc_B_tl \l_tmpb_tl
+ \__nmc_delim_lparen:VV \l__nmc_B_tl \l_tmpb_tl
+ \__nmc_next:
+ \tl_put_right:NV \l__nmc_delim_arg_tl \l__nmc_B_tl
+ \tl_if_eq:VnTF \l__nmc_C_tl { | }
+ { \__nmc_delim_lparen_auxi:n { 0 } }
+ {
+ \__nmc_next:
+ \tl_put_right:NV \l__nmc_delim_arg_tl \l__nmc_B_tl
+ \__nmc_delim_stop:
+ }
+ }
+ {
+ \int_decr:N \l__nmc_delim_pos_int
+ \bool_set_true:N \l__nmc_delim_lmod_bool
+ }
+ }
+ }
+\cs_new_protected:Npn \__nmc_delim_unary:n #1
+ {
+ \__nmc_if_pospas_gtr:nnTF { 1 } { \c__nmc_sum_int }
+ { \__nmc_delim_stop: }
+ {
+ \__nmc_delim_append:
+ \tl_if_eq:VnT \l__nmc_C_tl { ^ }
+ {
+ \__nmc_delim_append:
+ \__nmc_delim_append_braced:
+ }
+ \__nmc_delim_arg:Nnn \l__nmc_delim_argi_tl { 1 } { #1 }
+ \tl_put_right:NV \l__nmc_delim_arg_tl \l__nmc_delim_argi_tl
+ }
+ }
+\cs_new_protected:Npn \__nmc_delim_power:
+ {
+ \__nmc_if_pospas_gtr:nnTF { 1 } { \c__nmc_prn_int }
+ { \__nmc_delim_stop: }
+ {
+ \__nmc_delim_append:
+ \__nmc_delim_append_braced:
+ \__nmc_delim_stop_if_gtr:n { \c__nmc_sum_int }
+ }
+ }
+\cs_new_protected:Npn \__nmc_delim_tfrac:
+ {
+ \__nmc_if_pospas_gtr:nnTF { 1 } { \c__nmc_uny_int }
+ { \__nmc_delim_stop: }
+ { \__nmc_delim_append_twobraced: }
+ }
+\cs_new_protected:Npn \__nmc_delim_frac: % also \(d)binom
+ {
+ \__nmc_if_pospas_gtr:nnTF { 1 } { \c__nmc_sum_int }
+ { \__nmc_delim_stop: }
+ {
+ \__nmc_delim_append_twobraced:
+ \__nmc_delim_stop_if_gtr:n { \c__nmc_sum_int }
+ }
+ }
+\cs_new_protected:Npn \__nmc_delim_unarybrace:
+ {
+ \__nmc_if_pospas_gtr:nnTF { 1 } { \c__nmc_sum_int }
+ { \__nmc_delim_stop: }
+ {
+ \__nmc_delim_append:
+ \str_case:on \l__nmc_C_tl
+ {
+ { * } { \__nmc_delim_append: }
+ { [ } { \__nmc_delim_append_sqbra: }
+ }
+ \__nmc_delim_append_braced:
+ \__nmc_delim_arg:Nnn \l__nmc_delim_argi_tl { 2 }
+ { \c__nmc_prn_int }
+ \tl_put_right:NV \l__nmc_delim_arg_tl \l__nmc_delim_argi_tl
+ \__nmc_delim_stop_if_gtr:n { \c__nmc_sum_int }
+ }
+ }
+\cs_new_protected:Npn \__nmc_delim_log:
+ {
+ \__nmc_if_pospas_gtr:nnTF { 1 } { \c__nmc_sum_int }
+ { \__nmc_delim_stop: }
+ {
+ \__nmc_delim_append:
+ \__nmc_delim_append:
+ \__nmc_delim_append_braced:
+ \__nmc_delim_arg:Nnn \l__nmc_delim_argi_tl { 1 } { \c__nmc_uny_int }
+ \__nmc_accum_fn_parenth:NNn \l__nmc_delim_arg_tl
+ \l__nmc_delim_argi_tl {}
+ }
+ }
+\cs_new_protected:Npn \__nmc_delim_surd:
+ {
+ \__nmc_if_pospas_gtr:nnTF { 1 } { \c__nmc_uny_int }
+ { \__nmc_delim_stop: }
+ {
+ \__nmc_delim_append:
+ \tl_clear:N \l__nmc_delim_argi_tl
+ \tl_if_eq:VnT \l__nmc_B_tl { \prod }
+ {
+ \prg_replicate:nn { 2 }
+ { \__nmc_delim_append: \__nmc_delim_append_braced: }
+ }
+ \__nmc_delim_arg:Nnn \l__nmc_delim_argi_tl { 1 } { \c__nmc_srd_int }
+ \tl_put_right:NV \l__nmc_delim_arg_tl \l__nmc_delim_argi_tl
+ \__nmc_delim_stop_if_gtr:n { \c__nmc_sum_int }
+ }
+ }
+\cs_new_protected:Npn \__nmc_delim_fact:
+ {
+ \__nmc_if_pospas_gtr:nnTF { 1 } { \c__nmc_prn_int }
+ { \__nmc_delim_stop: }
+ {
+ \__nmc_delim_append:
+ \tl_if_eq:VnT \l__nmc_C_tl { ! }
+ { \__nmc_delim_append: }
+ \__nmc_delim_stop_if_gtr:n { \c__nmc_sum_int }
+ }
+ }
+\cs_new_protected:Npn \__nmc_delim_qleave:
+ {
+ \__nmc_next:
+ \tl_if_eq:VnTF \l__nmc_B_tl { \q }
+ { \int_zero:N \l__nmc_delim_pos_int } % adhere
+ { \bool_set_true:N \l__nmc_delim_stop_bool } % sever
+ \tl_if_eq:VnT \l__nmc_C_tl { ' }
+ { \__nmc_next: }
+ }
+\cs_new_protected:Npn \__nmc_delim_nary:
+ {
+ \__nmc_if_pospas_gtr:nnTF { 1 } { \c__nmc_sum_int }
+ { \__nmc_delim_stop: }
+ {
+ \__nmc_delim_append:
+ \__nmc_get_arg_LR:NNN ( \l__nmc_B_tl )
+ \__nmc_put_right_wrap:NnNn \l__nmc_delim_arg_tl
+ { ( } \l__nmc_B_tl { ) }
+ \__nmc_delim_stop_if_gtr:n { \c__nmc_sum_int }
+ }
+ }
+\cs_new_protected:Npn \__nmc_delim_comma:
+ {
+ \__nmc_if_pospas_gtr:nnTF { 1 } { \c__nmc_cmp_int }
+ { \__nmc_delim_stop: }
+ { \__nmc_delim_append: }
+ }
+\cs_new_protected:Npn \__nmc_delim_sum:
+ {
+ \__nmc_if_pospas_gtr:nnTF { 1 } { \c__nmc_sum_int }
+ { \__nmc_delim_stop: }
+ {
+ \__nmc_delim_append:
+ \__nmc_delim_append:
+ \__nmc_delim_append_braced:
+ \__nmc_delim_append:
+ \__nmc_delim_append_braced:
+ \__nmc_delim_arg:Nnn \l__nmc_delim_argi_tl { 1 } { \c__nmc_sum_int }
+ \tl_put_right:NV \l__nmc_delim_arg_tl \l__nmc_delim_argi_tl
+ \__nmc_delim_stop_if_gtr:n { \c__nmc_cmp_int }
+ }
+ }
+\cs_new_protected:Npn \__nmc_delim_absorb:
+ { % \cs
+ \__nmc_next:
+ \int_decr:N \l__nmc_delim_pos_int
+ }
+\cs_new_protected:Npn \__nmc_delim_absorbm:
+ { % \cs { m }
+ \__nmc_next: \__nmc_next:
+ \int_decr:N \l__nmc_delim_pos_int
+ }
+\cs_new_protected:Npn \__nmc_delim_absorbom:
+ { % \cs { o m }
+ \__nmc_next:
+ \str_if_eq:VnT \l__nmc_C_tl { [ }
+ {
+ \__nmc_next:
+ \__nmc_get_arg_LR:NNN [ \l__nmc_toss_tl ]
+ }
+ \__nmc_next:
+ \int_decr:N \l__nmc_delim_pos_int
+ }
+\cs_new_protected:Npn \__nmc_delim_BE:
+ {
+ \__nmc_if_pospas_gtr:nnTF { 1 } { \c__nmc_cmp_int }
+ { \__nmc_delim_stop: }
+ {
+ \__nmc_next: \__nmc_next:
+ \str_if_in:VnTF \l__nmc_B_tl { alignat }
+ { \__nmc_next: }
+ \tl_put_right:Nn \l__nmc_delim_arg_tl { \c_group_begin_token }
+ \__nmc_get_arg_LR:NNN \begin \l__nmc_delim_arg_tl \end
+ \tl_put_right:Nn \l__nmc_delim_arg_tl { \c_group_end_token }
+ \__nmc_next:
+ }
+ }
+\cs_new_protected:Npn \__nmc_delim_font:
+ {
+ \__nmc_next:
+ \tl_put_left:NV \l__nmc_A_tl \l__nmc_B_tl
+ \int_decr:N \l__nmc_delim_pos_int
+ }
+\cs_new_protected:Npn \__nmc_delim_metamm:
+ {
+ \__nmc_next:
+ \__nmc_delim_append_braced:
+ \__nmc_delim_append_braced:
+ \int_decr:N \l__nmc_delim_pos_int
+ }
+\cs_new_protected:Npn \__nmc_delim_cmd:
+ { % \cmd { s O m O O }
+ \__nmc_if_pospas_gtr:nnTF { 1 } { \c__nmc_sum_int }
+ { \__nmc_delim_stop: }
+ {
+ \tl_put_right:NV \l__nmc_delim_arg_tl \l__nmc_C_tl
+ \__nmc_next:
+ \tl_if_eq:VnT \l__nmc_C_tl { * }
+ { \__nmc_next: }
+ \tl_put_right:Nn \l__nmc_delim_arg_tl { * }
+ \__nmc_delim_nmcfn_aux:NN [ ]
+ \__nmc_next:
+ \tl_put_right:Nx
+ \l__nmc_delim_arg_tl { { \exp_not:o \l__nmc_B_tl } }
+ \__nmc_delim_nmcfn_aux:NN [ ]
+ \__nmc_delim_nmcfn_aux:NN [ ]
+ }
+ }
+\cs_new_protected:Npn \__nmc_delim_nmcfn_aux:NN #1#2
+ {
+ \tl_if_eq:VnT \l__nmc_C_tl { [ }
+ {
+ \__nmc_next:
+ \tl_clear:N \l_tmpa_tl
+ \__nmc_get_arg_LR:NNN #1 \l_tmpa_tl ]
+ \__nmc_put_right_wrap:NnNn \l__nmc_delim_arg_tl
+ { #1 } \l_tmpa_tl { #2 }
+ }
+ }
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+% save & retrieve
+\tl_new:N \g__nmc_reuse_tl
+\tl_new:N \g__nmc_reuse_filename_tl
+\tl_new:N \l__nmc_reuse_retrieved_tl
+\bool_new:N \l__nmc_reuse_retrieved_bool
+\bool_new:N \g__nmc_lyx_bool
+\ior_new:N \g__nmc_ior
+\iow_new:N \g__nmc_iow
+\tl_gset:NV \g__nmc_reuse_filename_tl \jobname
+\tl_gput_right:Nn \g__nmc_reuse_filename_tl { .nmc }
+%
+\NewDocumentCommand \nmcReuse { s >{ \TrimSpaces } O{} }
+ { % save \eval result to csname #2
+ \tl_if_empty:nTF { #2 }
+ { \__nmc_reuse_retrieve: }
+ {
+ \tl_if_empty:NTF \g__nmc_reuse_tl
+ {
+ \__nmc_error_where:n { \__nmc_verb:n { \nmcReuse }~command }
+ \__nmc_error_what:n { No~value~to~save~with }
+ }
+ { \__nmc_reuse_result:c { #2 } }
+ }
+ \IfBooleanT #1 { \__nmc_debug_display:nn { 99991 } { reuse } }
+ }
+\ProvideDocumentCommand\reuse {} { \nmcReuse }
+\cs_new_protected:Npn \__nmc_reuse_retrieve:
+ {
+ \file_get:VnNT \g__nmc_reuse_filename_tl {} \l__nmc_reuse_retrieved_tl
+ {
+ \bool_lazy_or:nnF
+ { \tl_if_blank_p:V \l__nmc_reuse_retrieved_tl }
+ { \tl_if_head_eq_meaning_p:VN \l__nmc_reuse_retrieved_tl \par }
+ {
+ \seq_set_split:NnV \l_tmpa_seq {,} \l__nmc_reuse_retrieved_tl
+ \seq_map_inline:Nn \l_tmpa_seq
+ { \__nmc_reuse_defcmds:Nnn ##1 { _props } }
+ }
+ }
+ \bool_set_true:N \l__nmc_reuse_retrieved_bool
+ }
+\cs_new_protected:Npn \__nmc_reuse_result:N #1
+ {
+ \tl_set:Nn \l_tmpb_tl { #1 }
+ \tl_put_right:Nx \l_tmpb_tl { { \tl_to_str:N \g__nmc_reuse_tl } }
+ \bool_if:NF \l__nmc_reuse_retrieved_bool
+ { \__nmc_reuse_retrieve: }
+ \clist_put_right:NV \l__nmc_reuse_retrieved_tl \l_tmpb_tl
+ \exp_last_unbraced:NV\__nmc_reuse_defcmds:Nnn \l_tmpb_tl {}
+ \tl_gclear:N \g__nmc_reuse_tl
+ }
+\cs_generate_variant:Nn \__nmc_reuse_result:N { c }
+
+\cs_new_protected:Npn \__nmc_reuse_defcmds:Nnn #1#2#3
+ {
+ \prop_get:NnNTF \g__nmc_subst_var_prop { #1 } \l__nmc_toss_tl
+ { \RenewDocumentCommand #1{}{#2} }
+ { \NewDocumentCommand #1{}{#2} }
+ \tl_set_rescan:Nnn #1 { \ExplSyntaxOn } { #2 }
+ \use:c { __nmc_reuse_write#3:Nn } #1{#2}
+ }
+\cs_new_protected:Npn \__nmc_reuse_write:Nn #1#2
+ {
+ \__nmc_reuse_write_props:Nn #1{#2}
+ \file_get:VnNTF \g__nmc_reuse_filename_tl {} \l_tmpa_tl
+ {
+ \tl_if_head_eq_meaning:VNTF \l_tmpa_tl \par
+ { \tl_clear:N \l_tmpa_tl }
+ {
+ \__nmc_reuse_delete:NN #1 \l_tmpa_tl
+ \tl_if_blank:VF \l_tmpa_tl
+ {
+ \tl_trim_spaces:N \l_tmpa_tl
+ \tl_put_right:Nn \l_tmpa_tl {,}
+ }
+ }
+ }
+ { \tl_clear:N \l_tmpa_tl }
+ \tl_put_right:Nn \l_tmpa_tl { #1 {#2} }
+ \iow_open:NV \g__nmc_iow \g__nmc_reuse_filename_tl
+ \iow_now:NV \g__nmc_iow \l_tmpa_tl
+ \iow_close:N \g__nmc_iow
+ }
+\cs_new_protected:Npn \__nmc_reuse_delete:NN #1#2
+ {
+ \seq_clear:N \l_tmpb_seq
+ \seq_set_split:NnV \l_tmpa_seq {,} #2
+ \seq_map_inline:Nn \l_tmpa_seq
+ {
+ \tl_if_head_eq_meaning:nNF { ##1 } #1
+ { \seq_put_right:Nn \l_tmpb_seq { ##1 } }
+ }
+ \tl_set:Nx #2 { \seq_use:Nn \l_tmpb_seq {,} }
+ }
+\cs_new_protected:Npn \__nmc_reuse_write_props:Nn #1#2
+ {
+ \prop_put_if_new:Nnn \g__nmc_class_prop { #1 }
+ { \__nmc_fpify_var: \__nmc_delim_var: }
+ \prop_put:Nnn \g__nmc_subst_var_prop { #1 } { #2 }
+ }
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+% settings
+\bool_new:N \l__nmc_multitok_bool
+\bool_new:N \l__nmc_vv_multline_bool
+\bool_new:N \l__nmc_deg_bool
+\tl_new:N \l__nmc_eq_num_tl
+\int_new:N \l__nmc_posi_int
+\int_new:N \l__nmc_eval_reuse_int
+\int_new:N \l__nmc_debug_int
+\tl_new:N \l__nmc_reuse_sep_tl % numerica-plus
+\int_set_eq:NN \l__nmc_posi_int \c_one_int
+
+\cs_new_protected:Npn \__nmc_set_trig_parsing:n #1
+ { % #1=1,2,3
+ \int_set:Nn\l__nmc_posi_int { #1 }
+ \int_compare:nNnTF { #1 } > { 1 }
+ { % #1=2,3
+ \int_set_eq:NN \l__nmc_trg_int \c__nmc_trg_int
+ \int_compare:nNnT { #1 } > { 2 }
+ { % #1=3
+ \__nmc_fill_class:nn { \frac, \dfrac }
+ { \__nmc_fpify_frac: \__nmc_delim_tfrac: }
+ }
+ }
+ { \int_set_eq:NN \l__nmc_trg_int \c__nmc_uny_int } % #1=1
+ }
+\cs_new:Npn \__nmc_deg:
+ { \bool_if:NT { \l__nmc_deg_bool } { d } }
+\cs_new:Npn \__nmc_int_to_bool:Nn #1#2
+ { \bool_set:Nn #1 { !\int_if_zero_p:n { #2 } } }
+\keys_define:nn { numerica }
+ {
+ rounding .int_set:N = \l__nmc_round_int,
+ pad .code:n = \__nmc_int_to_bool:Nn
+ \l__nmc_pad_zeros_bool { #1 },
+ output-sci-notation .code:n = \__nmc_int_to_bool:Nn
+ \l__nmc_sci_num_out_bool { #1 },
+ output-exponent-char .tl_set:N = \l__nmc_sci_num_out_tl,
+ input-sci-notation .code:n = \__nmc_int_to_bool:Nn
+ \l__nmc_sci_num_in_bool { #1 },
+ input-exponent-char .tl_set:N = \l__nmc_sci_num_in_tl,
+ multitoken-variables .code:n = \__nmc_int_to_bool:Nn
+ \l__nmc_multitok_bool { #1 },
+ logarithm-base .tl_set:N = \l__nmc_log_base_tl,
+ intify-rounding .tl_set:N = \l__nmc_intify_round_tl,
+ vv-display .tl_set:N = \l__nmc_vv_display_tl,
+ vv-inline .tl_set:N = \l__nmc_vv_inline_tl,
+ sum-extra-rounding .int_set:N = \l__nmc_sum_extra_int,
+ sum-query-terms .int_set:N = \l__nmc_sum_query_int,
+ prod-extra-rounding .int_set:N = \l__nmc_prod_extra_int,
+ prod-query-terms .int_set:N = \l__nmc_prod_query_int,
+ eval-reuse .int_set:N = \l__nmc_eval_reuse_int,
+%
+ rounding .default:n = 6,
+ pad .default:n = 0,
+ output-sci-notation .default:n = 0,
+ output-exponent-char .default:n = e,
+ input-sci-notation .default:n = 0,
+ input-exponent-char .default:n = e,
+ multitoken-variables .default:n = 1,
+ logarithm-base .default:n = 10,
+ intify-rounding .default:n = 14,
+ vv-display .default:n = {,}\mskip 36mu minus 24mu(vv),
+ vv-inline .default:n = {,}\mskip 12mu plus 6mu minus 9mu(vv),
+ sum-extra-rounding .default:n = 2,
+ sum-query-terms .default:n = 0,
+ prod-extra-rounding .default:n = 2,
+ prod-query-terms .default:n = 0,
+ eval-reuse .default:n = 0,
+ }
+\keys_set_known:nn { numerica }
+ {
+ rounding,pad,output-sci-notation,output-exponent-char,
+ input-sci-notation,input-exponent-char,
+ multitoken-variables,logarithm-base,intify-rounding,
+ vv-display,vv-inline,sum-extra-rounding,sum-query-terms,
+ prod-extra-rounding,prod-query-terms,eval-reuse
+ }
+\keys_define:nn { numerica/generic }
+ {
+ dbg .code:n = \int_set:Nn \l__nmc_debug_int
+ { \int_compare:nNnTF { \int_abs:n { #1 } } = { 1 }
+ { \int_sign:n { #1 }*2*3*5*7 } { #1 } },
+ ^ .code:n = \bool_set_true:N \l__nmc_sci_num_in_bool
+ \tl_set:Nn \l__nmc_sci_num_in_tl { #1 },
+ xx .code:n = \__nmc_int_to_bool:Nn \l__nmc_multitok_bool { #1 },
+ () .code:n = \__nmc_set_trig_parsing:n { 2+\int_sign:n { #1-1 } },
+ () .initial:n = 0,
+ o .code:n = \bool_set_true:N \l__nmc_deg_bool,
+ log .tl_set:N = \l__nmc_log_base_tl,
+ vvmode .code:n = \__nmc_calc_mode:n { \int_sign:n { #1*#1 } },
+ vvd .code:n = \tl_set:Nn \l__nmc_vv_display_tl { #1 }
+ \tl_if_in:NnT \l__nmc_vv_display_tl { \\ }
+ { \bool_set_true:N \l__nmc_vv_multline_bool },
+ vvi .tl_set:N = \l__nmc_vv_inline_tl,
+ * .code:n = \tl_set:Nn \l__nmc_eq_num_tl { * },
+ p .tl_set:N = \l__nmc_punc_tl,
+ p .default:n = {,},
+ S+ .int_set:N = \l__nmc_sum_extra_int,
+ S? .int_set:N = \l__nmc_sum_query_int,
+ P+ .int_set:N = \l__nmc_prod_extra_int,
+ P? .int_set:N = \l__nmc_prod_query_int,
+ }
+\keys_define:nn { numerica/eval }
+ { reuse .int_set:N = \l__nmc_eval_reuse_int }
+\keys_define:nn { numerica/package }
+ {
+ plus .code:n = \file_input:n { numerica-plus.def },
+ tables .code:n = \file_input:n { numerica-tables.def },
+ % calculus .code:n = \file_input:n { numerica-calculus.def },
+ lyx .code:n = \file_input:n { numerica-lyx.def }
+ }
+\ProcessKeysPackageOptions { numerica/package }
+
+\file_if_exist:nT { numerica.cfg }
+ {
+ \file_get:nnN { numerica.cfg } {} \l_tmpa_tl
+ \exp_args:NnV \keys_set_known:nn { numerica } \l_tmpa_tl
+ }
+% end of `numerica.sty' \ No newline at end of file