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authorKarl Berry <karl@freefriends.org>2011-09-12 23:20:13 +0000
committerKarl Berry <karl@freefriends.org>2011-09-12 23:20:13 +0000
commitec101e315bca605deccdc06127781caf969e9050 (patch)
treef4537d10a9992b2629bc484831c9dc8bcf284447 /Master/texmf-dist/tex/latex/randomwalk
parent001f733c399ee601d8039ead0a0cca8d5910444b (diff)
randomwalk (10sep11)
git-svn-id: svn://tug.org/texlive/trunk@23924 c570f23f-e606-0410-a88d-b1316a301751
Diffstat (limited to 'Master/texmf-dist/tex/latex/randomwalk')
-rw-r--r--Master/texmf-dist/tex/latex/randomwalk/randomwalk.sty376
1 files changed, 160 insertions, 216 deletions
diff --git a/Master/texmf-dist/tex/latex/randomwalk/randomwalk.sty b/Master/texmf-dist/tex/latex/randomwalk/randomwalk.sty
index 2cfe747b6f5..be8fe93766d 100644
--- a/Master/texmf-dist/tex/latex/randomwalk/randomwalk.sty
+++ b/Master/texmf-dist/tex/latex/randomwalk/randomwalk.sty
@@ -23,238 +23,187 @@
%%
%% -----------------------------------------------------------------------
\RequirePackage{l3names}
-\GetIdInfo$Id: randomwalk.dtx 1 2011-01-09 10:15:31Z blefloch $
+\GetIdInfo$Id: randomwalk.dtx 0.2 2011-09-09 10:15:31Z blefloch $
{Customizable Random Walks using TikZ}%
\ProvidesExplPackage
- {\filename}{\filedate}{\fileversion}{\filedescription}
+ {\ExplFileName}{\ExplFileDate}{\ExplFileVersion}{\ExplFileDescription}
\RequirePackage{expl3}
\RequirePackage{xparse}
\RequirePackage{tikz}
\int_const:Nn \c_rw_lcg_first_int {0}
\int_const:Nn \c_rw_lcg_last_int {536870911}
-\int_const:Nn \c_rw_lcg_range_int {
- \c_rw_lcg_last_int - \c_rw_lcg_first_int
-}
-\RequirePackage [
- first= \c_rw_lcg_first_int,
- last = \c_rw_lcg_last_int,
- counter = lcg@rand ]
+\int_const:Nn \c_rw_lcg_range_int
+ { \c_rw_lcg_last_int - \c_rw_lcg_first_int }
+\RequirePackage
+ [
+ first= \c_rw_lcg_first_int,
+ last = \c_rw_lcg_last_int,
+ counter = lcg@rand
+ ]
{ lcg }
\rand % This \rand avoids some very odd bug.
\fp_const:Nn \c_rw_one_degree_fp {+1.74532925e-2}
-\DeclareDocumentCommand \RandomWalk { m } {
- \rw_set_defaults:
- \keys_set:nn { randomwalk } { #1 }
- \rw_walk:
-}
-\cs_new:Nn \rw_Atype: {}
-\cs_new:Nn \rw_Ltype: {}
-\tl_new:Nn \l_rw_Aargs_tl {}
-\tl_new:Nn \l_rw_Largs_tl {}
+\DeclareDocumentCommand \RandomWalk { m }
+ {
+ \rw_set_defaults:
+ \keys_set:nn { randomwalk } { #1 }
+ \rw_walk:
+ }
+\tl_new:N \g_rw_Ado_tl
+\tl_new:N \g_rw_Ldo_tl
+\bool_new:N \l_rw_A_relative_bool
\bool_new:N \l_rw_revert_random_bool
-
-\cs_new:Nn \rw_set_defaults:
-{
- \fp_set:Nn \l_rw_step_length_fp {10}
- \int_set:Nn \l_rw_step_number_int {10}
- \cs_set:Nn \rw_Atype: {interval:nn}
- \tl_set:Nn \l_rw_Aargs_tl { {-\c_pi_fp} {\c_pi_fp} }
- \cs_set:Nn \rw_Ltype: {fixed:n}
- \tl_set:Nn \l_rw_Largs_tl {\l_rw_step_length_fp}
- \bool_set_false:N \l_rw_revert_random_bool
-}
-\keys_define:nn { randomwalk } {
- number .value_required:,
- length .value_required:,
- angles .value_required:,
- number .code:n = {\int_set:Nn \l_rw_step_number_int {#1}},
- length .code:n = {
- \clist_clear:N \l_rw_lengths_clist
- \clist_put_right:Nn \l_rw_lengths_clist {#1}
- \tl_set:Nn \l_rw_Largs_tl {\l_rw_lengths_clist}
- \rw_clist_fp_from_dim:N \l_rw_lengths_clist
- \rw_clist_count:NN \l_rw_tmpa_int \l_rw_lengths_clist
- \int_compare:nNnTF {\l_rw_tmpa_int}={1}
- {
- \cs_gset:Nn \rw_Ltype: {fixed:n}
- }
- {
- \cs_gset:Nn \rw_Ltype: {list:N}
- }
- },
- angles .code:n = {
- \clist_clear:N \l_rw_angles_clist
- \clist_put_right:Nn \l_rw_angles_clist {#1}
- \cs_gset:Nn \rw_Atype: {list:N}
- \tl_set:Nn \l_rw_Aargs_tl {\l_rw_angles_clist}
- },
- degree .code:n = {\rw_radians_from_degrees:N \l_rw_angles_clist},
- degrees .code:n = {\rw_radians_from_degrees:N \l_rw_angles_clist},
- angles-relative .code:n = {\cs_gset:Nx \rw_Atype: {rel_\rw_Atype:}},
- revert-random .bool_set:N = \l_rw_revert_random_bool,
-}
-\cs_new:Nn \rw_walk:
-{
- \fp_set:Nn \l_rw_old_x_fp {0}
- \fp_set:Nn \l_rw_old_y_fp {0}
- \fp_set:Nn \l_rw_new_x_fp {0}
- \fp_set:Nn \l_rw_new_y_fp {0}
- \begin{tikzpicture}
- \prg_stepwise_inline:nnnn {1}{1}{\l_rw_step_number_int}
- {
- \rw_step_draw:
- }
- \bool_if:NF \l_rw_revert_random_bool {
- \global \cr@nd \cr@nd
- }
- \end{tikzpicture}
-}
-\cs_new:Nn \rw_step_draw:
-{
- \rw_step_random_generic:VV \l_rw_Largs_tl \l_rw_Aargs_tl
- \fp_add:Nn \l_rw_new_x_fp {\l_rw_step_x_fp}
- \fp_add:Nn \l_rw_new_y_fp {\l_rw_step_y_fp}
- \draw (\fp_to_dim:N \l_rw_old_x_fp, \fp_to_dim:N \l_rw_old_y_fp)
- -- (\fp_to_dim:N \l_rw_new_x_fp, \fp_to_dim:N \l_rw_new_y_fp);
- \fp_set:Nn \l_rw_old_x_fp {\l_rw_new_x_fp}
- \fp_set:Nn \l_rw_old_y_fp {\l_rw_new_y_fp}
-}
-\cs_new:Nn \rw_step_random_generic:nn
-{
- \cs:w rw_L \rw_Ltype: \cs_end: #1
- \cs:w rw_A \rw_Atype: \cs_end: #2
- \rw_step_build:
-}
-\cs_generate_variant:Nn \rw_step_random_generic:nn {VV}
-\cs_new:Nn \rw_Lfixed:n {
- \fp_set:Nn \l_rw_radius_fp {#1} }
-\cs_new:Nn \rw_Llist:N {
- \rw_set_to_random_clist_element:NN \l_rw_radius_fp #1 }
-\cs_new:Nn \rw_Linterval:nn {
- \rw_set_to_random_fp:Nnn \l_rw_radius_fp {#1} {#2} }
-\cs_new:Nn \rw_Ainterval:nn {
- \rw_set_to_random_fp:Nnn \l_rw_angle_fp {#1} {#2} }
-\cs_new:Nn \rw_Alist:N {
- \rw_set_to_random_clist_element:NN \l_rw_angle_fp #1 }
-\cs_new:Nn \rw_Arel_interval:nn {
- \rw_add_to_random_fp:Nnn \l_rw_angle_fp {#1} {#2} }
-\cs_new:Nn \rw_Arel_list:N {
- \rw_add_to_random_clist_element:NN \l_rw_angle_fp #1 }
-\cs_new:Nn \rw_step_build:
-{
- \rw_cartesian_from_polar:NNNN \l_rw_step_x_fp \l_rw_step_y_fp
- \l_rw_radius_fp \l_rw_angle_fp
-}
-\cs_new_protected:Nn \rw_cartesian_from_polar:NNNN
-{
- \fp_cos:Nn #1 {\fp_use:N #4}
- \fp_sin:Nn #2 {\fp_use:N #4}
- \fp_mul:Nn #1 {\fp_use:N #3}
- \fp_mul:Nn #2 {\fp_use:N #3}
-}
-\cs_new_protected:Nn \rw_gcartesian_from_polar:NNNN
-{
- \fp_gcos:Nn #1 {\fp_use:N #4}
- \fp_gsin:Nn #2 {\fp_use:N #4}
- \fp_gmul:Nn #1 {\fp_use:N #3}
- \fp_gmul:Nn #2 {\fp_use:N #3}
-}
-\cs_new:Nn \rw_set_to_random_int:Nnn
-{
- \rand
- \int_set:Nn #1
+\cs_new:Npn \rw_set_defaults:
+ {
+ \fp_set:Nn \l_rw_step_length_fp {10}
+ \int_set:Nn \l_rw_step_number_int {10}
+ \tl_gset:Nn \g_rw_Ado_tl { \rw_Ainterval:nn {-\c_pi_fp} {\c_pi_fp} }
+ \tl_gset:Nn \g_rw_Ldo_tl { \rw_Lfixed:n \l_rw_step_length_fp } %^^A bug?
+ \bool_set_false:N \l_rw_revert_random_bool
+ \bool_set_false:N \l_rw_A_relative_bool
+ }
+\keys_define:nn { randomwalk }
+ {
+ number .value_required:,
+ length .value_required:,
+ angles .value_required:,
+ number .code:n = {\int_set:Nn \l_rw_step_number_int {#1}},
+ length .code:n =
+ {
+ \clist_set:Nn \l_rw_lengths_clist {#1}
+ \rw_clist_fp_from_dim:N \l_rw_lengths_clist
+ \int_compare:nNnTF { \clist_length:N \l_rw_lengths_clist } = {1}
+ { \tl_gset:Nn \g_rw_Ldo_tl { \rw_Lfixed:n \l_rw_lengths_clist } }
+ { \tl_gset:Nn \g_rw_Ldo_tl { \rw_Llist:N \l_rw_lengths_clist } }
+ },
+ angles .code:n =
+ {
+ \clist_set:Nn \l_rw_angles_clist {#1}
+ \tl_gset:Nn \g_rw_Ado_tl { \rw_Alist:N \l_rw_angles_clist }
+ },
+ degree .code:n = { \rw_radians_from_degrees:N \l_rw_angles_clist },
+ degrees .code:n = { \rw_radians_from_degrees:N \l_rw_angles_clist },
+ angles-relative .code:n = { \bool_set_true:N \l_rw_A_relative_bool },
+ revert-random .bool_set:N = \l_rw_revert_random_bool,
+ }
+\cs_new:Npn \rw_walk:
+ {
+ \fp_zero:N \l_rw_old_x_fp
+ \fp_zero:N \l_rw_old_y_fp
+ \fp_zero:N \l_rw_new_x_fp
+ \fp_zero:N \l_rw_new_y_fp
+ \begin{tikzpicture}
+ \prg_replicate:nn { \l_rw_step_number_int } { \rw_step_draw: }
+ \bool_if:NF \l_rw_revert_random_bool
+ { \int_gset_eq:NN \cr@nd \cr@nd }
+ \end{tikzpicture}
+ }
+\cs_new:Npn \rw_step_draw:
+ {
+ \g_rw_Ldo_tl
+ \g_rw_Ado_tl
+ \rw_cartesian_from_polar:NNNN
+ \l_rw_step_x_fp \l_rw_step_y_fp
+ \l_rw_radius_fp \l_rw_angle_fp
+ \fp_add:Nn \l_rw_new_x_fp { \l_rw_step_x_fp }
+ \fp_add:Nn \l_rw_new_y_fp { \l_rw_step_y_fp }
+ \draw ( \fp_to_dim:N \l_rw_old_x_fp, \fp_to_dim:N \l_rw_old_y_fp )
+ -- ( \fp_to_dim:N \l_rw_new_x_fp, \fp_to_dim:N \l_rw_new_y_fp );
+ \fp_set_eq:NN \l_rw_old_x_fp \l_rw_new_x_fp
+ \fp_set_eq:NN \l_rw_old_y_fp \l_rw_new_y_fp
+ }
+\cs_new:Npn \rw_Lfixed:n #1
+ { \fp_set:Nn \l_rw_radius_fp {#1} }
+\cs_new:Npn \rw_Llist:N #1
+ { \rw_set_to_random_clist_element:NN \l_rw_radius_fp #1 }
+\cs_new:Npn \rw_Linterval:nn #1#2
+ { \rw_set_to_random_fp:Nnn \l_rw_radius_fp {#1} {#2} }
+\cs_new:Npn \rw_Ainterval:nn #1#2
+ {
+ \bool_if:NTF \l_rw_A_relative_bool
+ { \rw_add_to_random_fp:Nnn }
+ { \rw_set_to_random_fp:Nnn }
+ \l_rw_angle_fp {#1} {#2}
+ }
+\cs_new:Npn \rw_Alist:N #1
+ {
+ \bool_if:NTF \l_rw_A_relative_bool
+ { \rw_add_to_random_clist_element:NN }
+ { \rw_set_to_random_clist_element:NN }
+ \l_rw_angle_fp #1
+ }
+\cs_new_protected:Npn \rw_cartesian_from_polar:NNNN #1#2#3#4
+ {
+ \fp_cos:Nn #1 {\fp_use:N #4}
+ \fp_sin:Nn #2 {\fp_use:N #4}
+ \fp_mul:Nn #1 {\fp_use:N #3}
+ \fp_mul:Nn #2 {\fp_use:N #3}
+ }
+\cs_new_protected:Npn \rw_gcartesian_from_polar:NNNN #1#2#3#4
+ {
+ \fp_gcos:Nn #1 {\fp_use:N #4}
+ \fp_gsin:Nn #2 {\fp_use:N #4}
+ \fp_gmul:Nn #1 {\fp_use:N #3}
+ \fp_gmul:Nn #2 {\fp_use:N #3}
+ }
+\cs_new:Npn \rw_set_to_random_int:Nnn #1#2#3
+ {
+ \rand
+ \int_set:Nn #1 { \int_mod:nn {\c@lcg@rand} { #3 - (#2) } }
+ }
+\cs_new:Npn \rw_set_to_random_fp:Nnn #1#2#3
+ {
+ \fp_set:Nn \l_rw_tmpa_fp {#3}
+ \fp_sub:Nn \l_rw_tmpa_fp {#2}
+ \rand
+ \fp_set:Nn \l_rw_tmpb_fp { \int_use:N \c@lcg@rand }
+ \fp_div:Nn \l_rw_tmpb_fp { \int_use:N \c_rw_lcg_range_int }
+ \fp_mul:Nn \l_rw_tmpa_fp { \l_rw_tmpb_fp }
+ \fp_add:Nn \l_rw_tmpa_fp {#2}
+ \fp_set:Nn #1 { \l_rw_tmpa_fp }
+ }
+\cs_new:Npn \rw_add_to_random_fp:Nnn #1#2#3
{
- \int_mod:nn {\c@lcg@rand} { (#3) - (#2) }
+ \fp_set:Nn \l_rw_tmpa_fp {#3}
+ \fp_sub:Nn \l_rw_tmpa_fp {#2}
+ \rand
+ \fp_set:Nn \l_rw_tmpb_fp { \int_use:N \c@lcg@rand }
+ \fp_div:Nn \l_rw_tmpb_fp { \int_use:N \c_rw_lcg_range_int }
+ \fp_mul:Nn \l_rw_tmpa_fp { \l_rw_tmpb_fp }
+ \fp_add:Nn \l_rw_tmpa_fp {#2}
+ \fp_add:Nn #1 { \l_rw_tmpa_fp } %here: mod?
}
-}
-\cs_new:Nn \rw_set_to_random_fp:Nnn
-{
- \fp_set:Nn \l_rw_tmpa_fp {#3}
- \fp_sub:Nn \l_rw_tmpa_fp {#2}
- \rand
- \fp_set:Nn \l_rw_tmpb_fp {\int_use:N \c@lcg@rand}
- \fp_div:Nn \l_rw_tmpb_fp {\int_use:N \c_rw_lcg_range_int}
- \fp_mul:Nn \l_rw_tmpa_fp {\l_rw_tmpb_fp}
- \fp_add:Nn \l_rw_tmpa_fp {#2}
- \fp_set:Nn #1 { \l_rw_tmpa_fp }
-}
-\cs_new:Nn \rw_add_to_random_fp:Nnn
-{
- \fp_set:Nn \l_rw_tmpa_fp {#3}
- \fp_sub:Nn \l_rw_tmpa_fp {#2}
- \rand
- \fp_set:Nn \l_rw_tmpb_fp {\int_use:N \c@lcg@rand}
- \fp_div:Nn \l_rw_tmpb_fp {\int_use:N \c_rw_lcg_range_int}
- \fp_mul:Nn \l_rw_tmpa_fp {\l_rw_tmpb_fp}
- \fp_add:Nn \l_rw_tmpa_fp {#2}
- \fp_add:Nn #1 { \l_rw_tmpa_fp } %here: mod?
-}
-\cs_new:Nn \rw_clist_count:NN
-{
- \int_set:Nn \l_rw_tmpa_int {0}
- \clist_set_eq:NN \l_rw_tmpa_clist #2
- \bool_until_do:nn
+\cs_new:Npn \rw_set_to_random_clist_element:NN #1#2
{
- \clist_if_empty_p:N \l_rw_tmpa_clist
- }{
- \clist_pop:NN \l_rw_tmpa_clist \l_rw_tmpa_toks
- \int_add:Nn \l_rw_tmpa_int {1}
+ \rw_set_to_random_int:Nnn \l_rw_tmpb_int {0} { \clist_length:N #2 }
+ \fp_set:Nn #1 { \clist_item:Nn #2 { \l_rw_tmpb_int } }
}
- \int_set_eq:NN #1 \l_rw_tmpa_int
-}
-\cs_new:Nn \rw_clist_nth:NNn {
- \int_set:Nn \l_rw_tmpa_int {#3}
- \clist_set_eq:NN \l_rw_tmpa_clist #2
- \bool_until_do:nn
+\cs_new:Npn \rw_add_to_random_clist_element:NN #1#2
{
- \int_compare_p:nNn {\l_rw_tmpa_int}<{0}
- }{
- \clist_pop:NN \l_rw_tmpa_clist \l_rw_tmpc_fp
- \int_add:Nn \l_rw_tmpa_int {-1}
+ \rw_set_to_random_int:Nnn \l_rw_tmpb_int {0} { \clist_length:N #2 }
+ \fp_add:Nn #1 { \clist_item:Nn #2 { \l_rw_tmpb_int } }
}
- \fp_set:Nn #1 {\l_rw_tmpc_fp}
-}
-\cs_new:Nn \rw_set_to_random_clist_element:NN
-{
- \rw_clist_count:NN \l_rw_tmpa_int #2
- \rw_set_to_random_int:Nnn \l_rw_tmpb_int {0} {\l_rw_tmpa_int}
- \rw_clist_nth:NNn #1 #2 {\l_rw_tmpb_int}
-}
-\cs_new:Nn \rw_add_to_random_clist_element:NN
-{
- \rw_clist_count:NN \l_rw_tmpa_int #2
- \rw_set_to_random_int:Nnn \l_rw_tmpb_int {0} {\l_rw_tmpa_int}
- \rw_clist_nth:NNn \l_rw_tmpb_fp #2 {\l_rw_tmpb_int}
- \fp_add:Nn #1 {\l_rw_tmpb_fp}
-}
-\cs_new:Nn \rw_radians_from_degrees:N
-{
- \clist_clear:N \l_rw_tmpa_clist
- \bool_until_do:nn
+\cs_new:Npn \rw_radians_from_degrees:N #1
{
- \clist_if_empty_p:N #1
- }{
- \clist_pop:NN #1 \l_rw_tmpa_toks
- \fp_set:Nn \l_rw_tmpa_fp {\l_rw_tmpa_toks}
- \fp_mul:Nn \l_rw_tmpa_fp {\c_rw_one_degree_fp}
- \clist_push:NV \l_rw_tmpa_clist \l_rw_tmpa_fp
+ \clist_clear:N \l_rw_tmpa_clist
+ \clist_map_inline:Nn #1
+ {
+ \fp_set:Nn \l_rw_tmpa_fp {##1}
+ \fp_mul:Nn \l_rw_tmpa_fp { \c_rw_one_degree_fp }
+ \clist_push:NV \l_rw_tmpa_clist \l_rw_tmpa_fp
+ }
+ \clist_set_eq:NN #1 \l_rw_tmpa_clist
}
- \clist_put_right:NV #1 \l_rw_tmpa_clist
-}
-
-\cs_new:Nn \rw_clist_fp_from_dim:N
-{
- \clist_clear:N \l_rw_tmpa_clist
- \bool_until_do:nn
+\cs_new:Npn \rw_clist_fp_from_dim:N #1
{
- \clist_if_empty_p:N #1
- }{
- \clist_pop:NN #1 \l_rw_tmpa_toks
- \fp_set_from_dim:Nn \l_rw_tmpa_fp {\l_rw_tmpa_toks}
- \clist_push:NV \l_rw_tmpa_clist \l_rw_tmpa_fp
+ \clist_clear:N \l_rw_tmpa_clist
+ \clist_map_inline:Nn #1
+ {
+ \fp_set_from_dim:Nn \l_rw_tmpa_fp {##1}
+ \clist_push:NV \l_rw_tmpa_clist \l_rw_tmpa_fp
+ }
+ \clist_set_eq:NN #1 \l_rw_tmpa_clist
}
- \clist_put_right:NV #1 \l_rw_tmpa_clist
-}
\fp_new:N \l_rw_old_x_fp
\fp_new:N \l_rw_old_y_fp
\fp_new:N \l_rw_step_x_fp
@@ -265,15 +214,10 @@
\int_new:N \l_rw_step_number_int
\clist_new:N \l_rw_angles_clist
\clist_new:N \l_rw_lengths_clist
-
\fp_new:N \l_rw_tmpa_fp
\fp_new:N \l_rw_tmpb_fp
-\fp_new:N \l_rw_tmpc_fp
\clist_new:N \l_rw_tmpa_clist
-\clist_new:N \l_rw_tmpb_clist
-\int_new:N \l_rw_tmpa_int
\int_new:N \l_rw_tmpb_int
-\int_new:N \l_rw_tmpc_int
%%
%%
%% End of file `randomwalk.sty'.