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Overview
| Comment: | math::quasirandom - Fix testsuite setup - Requirements are 8.5+OO |
|---|---|
| Downloads: | Tarball | ZIP archive |
| Timelines: | family | ancestors | descendants | both | trunk |
| Files: | files | file ages | folders |
| SHA3-256: |
d898baf8e53c3472ec89fdf4d3856929 |
| User & Date: | aku 2019-05-06 01:49:55.201 |
Context
|
2019-05-06
| ||
| 22:53 | sha1: sha1, sha256 Bugfixes - (original commit, and now) Version bump. sha256 1.0.4 sha1 2.0.4 Fixed testsuite issues introduced by commit [aa67a2cdc0]. The switch from `rename` to `interp alias` to activate an implementation was not compensated for in the code doing the deactivation just a few lines higher. check-in: 885b50ec5e user: aku tags: trunk | |
| 01:49 | math::quasirandom - Fix testsuite setup - Requirements are 8.5+OO check-in: d898baf8e5 user: aku tags: trunk | |
|
2019-04-29
| ||
| 10:04 | Make sha module compatible with channels that issue only one event each time the end of the channel is reached. check-in: aa67a2cdc0 user: pooryorick tags: trunk | |
Changes
Changes to embedded/md/index.md.
| ︙ | ︙ | |||
529 530 531 532 533 534 535 | |<a name='manpage'></a>manpage|[doctools](tcllib/files/modules/doctools/doctools\.md) · [doctools::idx](tcllib/files/modules/doctools/docidx\.md) · [doctools::idx](tcllib/files/modules/doctools2idx/idx\_container\.md) · [doctools::idx::export](tcllib/files/modules/doctools2idx/idx\_export\.md) · [doctools::idx::import](tcllib/files/modules/doctools2idx/idx\_import\.md) · [doctools::toc](tcllib/files/modules/doctools/doctoc\.md) · [doctools::toc::export](tcllib/files/modules/doctools2toc/toc\_export\.md) · [doctools::toc::import](tcllib/files/modules/doctools2toc/toc\_import\.md) · [doctools\_plugin\_apiref](tcllib/files/modules/doctools/doctools\_plugin\_apiref\.md) · [dtplite](tcllib/files/modules/dtplite/pkg\_dtplite\.md) · [dtplite](tcllib/files/apps/dtplite\.md) · [mpexpand](tcllib/files/modules/doctools/mpexpand\.md)| |<a name='map'></a>map|[generator](tcllib/files/modules/generator/generator\.md) · [map::geocode::nominatim](tcllib/files/modules/map/map\_geocode\_nominatim\.md) · [map::slippy](tcllib/files/modules/map/map\_slippy\.md) · [map::slippy::cache](tcllib/files/modules/map/map\_slippy\_cache\.md) · [map::slippy::fetcher](tcllib/files/modules/map/map\_slippy\_fetcher\.md) · [mapproj](tcllib/files/modules/mapproj/mapproj\.md) · [struct::list](tcllib/files/modules/struct/struct\_list\.md)| |<a name='markdown'></a>markdown|[doctools](tcllib/files/modules/doctools/doctools\.md) · [doctools::idx](tcllib/files/modules/doctools/docidx\.md) · [doctools::toc](tcllib/files/modules/doctools/doctoc\.md)| |<a name='markup'></a>markup|[docidx\_intro](tcllib/files/modules/doctools/docidx\_intro\.md) · [docidx\_lang\_cmdref](tcllib/files/modules/doctools/docidx\_lang\_cmdref\.md) · [docidx\_lang\_faq](tcllib/files/modules/doctools/docidx\_lang\_faq\.md) · [docidx\_lang\_intro](tcllib/files/modules/doctools/docidx\_lang\_intro\.md) · [docidx\_lang\_syntax](tcllib/files/modules/doctools/docidx\_lang\_syntax\.md) · [docidx\_plugin\_apiref](tcllib/files/modules/doctools/docidx\_plugin\_apiref\.md) · [doctoc\_intro](tcllib/files/modules/doctools/doctoc\_intro\.md) · [doctoc\_lang\_cmdref](tcllib/files/modules/doctools/doctoc\_lang\_cmdref\.md) · [doctoc\_lang\_faq](tcllib/files/modules/doctools/doctoc\_lang\_faq\.md) · [doctoc\_lang\_intro](tcllib/files/modules/doctools/doctoc\_lang\_intro\.md) · [doctoc\_lang\_syntax](tcllib/files/modules/doctools/doctoc\_lang\_syntax\.md) · [doctoc\_plugin\_apiref](tcllib/files/modules/doctools/doctoc\_plugin\_apiref\.md) · [doctools](tcllib/files/modules/doctools/doctools\.md) · [doctools2idx\_introduction](tcllib/files/modules/doctools2idx/idx\_introduction\.md) · [doctools2toc\_introduction](tcllib/files/modules/doctools2toc/toc\_introduction\.md) · [doctools::idx](tcllib/files/modules/doctools/docidx\.md) · [doctools::idx](tcllib/files/modules/doctools2idx/idx\_container\.md) · [doctools::idx::export](tcllib/files/modules/doctools2idx/idx\_export\.md) · [doctools::idx::import](tcllib/files/modules/doctools2idx/idx\_import\.md) · [doctools::toc](tcllib/files/modules/doctools2toc/toc\_container\.md) · [doctools::toc](tcllib/files/modules/doctools/doctoc\.md) · [doctools::toc::export](tcllib/files/modules/doctools2toc/toc\_export\.md) · [doctools::toc::import](tcllib/files/modules/doctools2toc/toc\_import\.md) · [doctools\_intro](tcllib/files/modules/doctools/doctools\_intro\.md) · [doctools\_lang\_cmdref](tcllib/files/modules/doctools/doctools\_lang\_cmdref\.md) · [doctools\_lang\_faq](tcllib/files/modules/doctools/doctools\_lang\_faq\.md) · [doctools\_lang\_intro](tcllib/files/modules/doctools/doctools\_lang\_intro\.md) · [doctools\_lang\_syntax](tcllib/files/modules/doctools/doctools\_lang\_syntax\.md) · [doctools\_plugin\_apiref](tcllib/files/modules/doctools/doctools\_plugin\_apiref\.md) · [dtplite](tcllib/files/modules/dtplite/pkg\_dtplite\.md) · [dtplite](tcllib/files/apps/dtplite\.md) · [mpexpand](tcllib/files/modules/doctools/mpexpand\.md) · [tcldocstrip](tcllib/files/apps/tcldocstrip\.md)| |<a name='mastercard'></a>MasterCard|[valtype::creditcard::mastercard](tcllib/files/modules/valtype/cc\_mastercard\.md)| |<a name='matching'></a>matching|[grammar::me\_intro](tcllib/files/modules/grammar\_me/me\_intro\.md) · [grammar::peg::interp](tcllib/files/modules/grammar\_peg/peg\_interp\.md) · [pt](tcllib/files/apps/pt\.md) · [pt::ast](tcllib/files/modules/pt/pt\_astree\.md) · [pt::cparam::configuration::critcl](tcllib/files/modules/pt/pt\_cparam\_config\_critcl\.md) · [pt::cparam::configuration::tea](tcllib/files/modules/pt/pt\_cparam\_config\_tea\.md) · [pt::json\_language](tcllib/files/modules/pt/pt\_json\_language\.md) · [pt::param](tcllib/files/modules/pt/pt\_param\.md) · [pt::pe](tcllib/files/modules/pt/pt\_pexpression\.md) · [pt::pe::op](tcllib/files/modules/pt/pt\_pexpr\_op\.md) · [pt::peg](tcllib/files/modules/pt/pt\_pegrammar\.md) · [pt::peg::container](tcllib/files/modules/pt/pt\_peg\_container\.md) · [pt::peg::container::peg](tcllib/files/modules/pt/pt\_peg\_container\_peg\.md) · [pt::peg::export](tcllib/files/modules/pt/pt\_peg\_export\.md) · [pt::peg::export::container](tcllib/files/modules/pt/pt\_peg\_export\_container\.md) · [pt::peg::export::json](tcllib/files/modules/pt/pt\_peg\_export\_json\.md) · [pt::peg::export::peg](tcllib/files/modules/pt/pt\_peg\_export\_peg\.md) · [pt::peg::from::container](tcllib/files/modules/pt/pt\_peg\_from\_container\.md) · [pt::peg::from::json](tcllib/files/modules/pt/pt\_peg\_from\_json\.md) · [pt::peg::from::peg](tcllib/files/modules/pt/pt\_peg\_from\_peg\.md) · [pt::peg::import](tcllib/files/modules/pt/pt\_peg\_import\.md) · [pt::peg::import::container](tcllib/files/modules/pt/pt\_peg\_import\_container\.md) · [pt::peg::import::json](tcllib/files/modules/pt/pt\_peg\_import\_json\.md) · [pt::peg::import::peg](tcllib/files/modules/pt/pt\_peg\_import\_peg\.md) · [pt::peg::interp](tcllib/files/modules/pt/pt\_peg\_interp\.md) · [pt::peg::to::container](tcllib/files/modules/pt/pt\_peg\_to\_container\.md) · [pt::peg::to::cparam](tcllib/files/modules/pt/pt\_peg\_to\_cparam\.md) · [pt::peg::to::json](tcllib/files/modules/pt/pt\_peg\_to\_json\.md) · [pt::peg::to::param](tcllib/files/modules/pt/pt\_peg\_to\_param\.md) · [pt::peg::to::peg](tcllib/files/modules/pt/pt\_peg\_to\_peg\.md) · [pt::peg::to::tclparam](tcllib/files/modules/pt/pt\_peg\_to\_tclparam\.md) · [pt::peg\_language](tcllib/files/modules/pt/pt\_peg\_language\.md) · [pt::pegrammar](tcllib/files/modules/pt/pt\_peg\_introduction\.md) · [pt::pgen](tcllib/files/modules/pt/pt\_pgen\.md) · [pt::rde](tcllib/files/modules/pt/pt\_rdengine\.md) · [pt::tclparam::configuration::nx](tcllib/files/modules/pt/pt\_tclparam\_config\_nx\.md) · [pt::tclparam::configuration::snit](tcllib/files/modules/pt/pt\_tclparam\_config\_snit\.md) · [pt::tclparam::configuration::tcloo](tcllib/files/modules/pt/pt\_tclparam\_config\_tcloo\.md) · [pt::util](tcllib/files/modules/pt/pt\_util\.md) · [pt\_export\_api](tcllib/files/modules/pt/pt\_to\_api\.md) · [pt\_import\_api](tcllib/files/modules/pt/pt\_from\_api\.md) · [pt\_introduction](tcllib/files/modules/pt/pt\_introduction\.md) · [pt\_parse\_peg](tcllib/files/modules/pt/pt\_parse\_peg\.md) · [pt\_parser\_api](tcllib/files/modules/pt/pt\_parser\_api\.md) · [pt\_peg\_op](tcllib/files/modules/pt/pt\_peg\_op\.md) · [struct::graph::op](tcllib/files/modules/struct/graphops\.md)| |<a name='math'></a>math|[math](tcllib/files/modules/math/math\.md) · [math::bigfloat](tcllib/files/modules/math/bigfloat\.md) · [math::bignum](tcllib/files/modules/math/bignum\.md) · [math::calculus](tcllib/files/modules/math/calculus\.md) · [math::complexnumbers](tcllib/files/modules/math/qcomplex\.md) · [math::constants](tcllib/files/modules/math/constants\.md) · [math::decimal](tcllib/files/modules/math/decimal\.md) · [math::fuzzy](tcllib/files/modules/math/fuzzy\.md) · [math::geometry](tcllib/files/modules/math/math\_geometry\.md) · [math::interpolate](tcllib/files/modules/math/interpolate\.md) · [math::linearalgebra](tcllib/files/modules/math/linalg\.md) · [math::optimize](tcllib/files/modules/math/optimize\.md) · [math::PCA](tcllib/files/modules/math/pca\.md) · [math::polynomials](tcllib/files/modules/math/polynomials\.md) · [math::rationalfunctions](tcllib/files/modules/math/rational\_funcs\.md) · [math::special](tcllib/files/modules/math/special\.md) · [math::trig](tcllib/files/modules/math/trig\.md) · [simulation::annealing](tcllib/files/modules/simulation/annealing\.md) · [simulation::montecarlo](tcllib/files/modules/simulation/montecarlo\.md) · [simulation::random](tcllib/files/modules/simulation/simulation\_random\.md)| | | | 529 530 531 532 533 534 535 536 537 538 539 540 541 542 543 | |<a name='manpage'></a>manpage|[doctools](tcllib/files/modules/doctools/doctools\.md) · [doctools::idx](tcllib/files/modules/doctools/docidx\.md) · [doctools::idx](tcllib/files/modules/doctools2idx/idx\_container\.md) · [doctools::idx::export](tcllib/files/modules/doctools2idx/idx\_export\.md) · [doctools::idx::import](tcllib/files/modules/doctools2idx/idx\_import\.md) · [doctools::toc](tcllib/files/modules/doctools/doctoc\.md) · [doctools::toc::export](tcllib/files/modules/doctools2toc/toc\_export\.md) · [doctools::toc::import](tcllib/files/modules/doctools2toc/toc\_import\.md) · [doctools\_plugin\_apiref](tcllib/files/modules/doctools/doctools\_plugin\_apiref\.md) · [dtplite](tcllib/files/modules/dtplite/pkg\_dtplite\.md) · [dtplite](tcllib/files/apps/dtplite\.md) · [mpexpand](tcllib/files/modules/doctools/mpexpand\.md)| |<a name='map'></a>map|[generator](tcllib/files/modules/generator/generator\.md) · [map::geocode::nominatim](tcllib/files/modules/map/map\_geocode\_nominatim\.md) · [map::slippy](tcllib/files/modules/map/map\_slippy\.md) · [map::slippy::cache](tcllib/files/modules/map/map\_slippy\_cache\.md) · [map::slippy::fetcher](tcllib/files/modules/map/map\_slippy\_fetcher\.md) · [mapproj](tcllib/files/modules/mapproj/mapproj\.md) · [struct::list](tcllib/files/modules/struct/struct\_list\.md)| |<a name='markdown'></a>markdown|[doctools](tcllib/files/modules/doctools/doctools\.md) · [doctools::idx](tcllib/files/modules/doctools/docidx\.md) · [doctools::toc](tcllib/files/modules/doctools/doctoc\.md)| |<a name='markup'></a>markup|[docidx\_intro](tcllib/files/modules/doctools/docidx\_intro\.md) · [docidx\_lang\_cmdref](tcllib/files/modules/doctools/docidx\_lang\_cmdref\.md) · [docidx\_lang\_faq](tcllib/files/modules/doctools/docidx\_lang\_faq\.md) · [docidx\_lang\_intro](tcllib/files/modules/doctools/docidx\_lang\_intro\.md) · [docidx\_lang\_syntax](tcllib/files/modules/doctools/docidx\_lang\_syntax\.md) · [docidx\_plugin\_apiref](tcllib/files/modules/doctools/docidx\_plugin\_apiref\.md) · [doctoc\_intro](tcllib/files/modules/doctools/doctoc\_intro\.md) · [doctoc\_lang\_cmdref](tcllib/files/modules/doctools/doctoc\_lang\_cmdref\.md) · [doctoc\_lang\_faq](tcllib/files/modules/doctools/doctoc\_lang\_faq\.md) · [doctoc\_lang\_intro](tcllib/files/modules/doctools/doctoc\_lang\_intro\.md) · [doctoc\_lang\_syntax](tcllib/files/modules/doctools/doctoc\_lang\_syntax\.md) · [doctoc\_plugin\_apiref](tcllib/files/modules/doctools/doctoc\_plugin\_apiref\.md) · [doctools](tcllib/files/modules/doctools/doctools\.md) · [doctools2idx\_introduction](tcllib/files/modules/doctools2idx/idx\_introduction\.md) · [doctools2toc\_introduction](tcllib/files/modules/doctools2toc/toc\_introduction\.md) · [doctools::idx](tcllib/files/modules/doctools/docidx\.md) · [doctools::idx](tcllib/files/modules/doctools2idx/idx\_container\.md) · [doctools::idx::export](tcllib/files/modules/doctools2idx/idx\_export\.md) · [doctools::idx::import](tcllib/files/modules/doctools2idx/idx\_import\.md) · [doctools::toc](tcllib/files/modules/doctools2toc/toc\_container\.md) · [doctools::toc](tcllib/files/modules/doctools/doctoc\.md) · [doctools::toc::export](tcllib/files/modules/doctools2toc/toc\_export\.md) · [doctools::toc::import](tcllib/files/modules/doctools2toc/toc\_import\.md) · [doctools\_intro](tcllib/files/modules/doctools/doctools\_intro\.md) · [doctools\_lang\_cmdref](tcllib/files/modules/doctools/doctools\_lang\_cmdref\.md) · [doctools\_lang\_faq](tcllib/files/modules/doctools/doctools\_lang\_faq\.md) · [doctools\_lang\_intro](tcllib/files/modules/doctools/doctools\_lang\_intro\.md) · [doctools\_lang\_syntax](tcllib/files/modules/doctools/doctools\_lang\_syntax\.md) · [doctools\_plugin\_apiref](tcllib/files/modules/doctools/doctools\_plugin\_apiref\.md) · [dtplite](tcllib/files/modules/dtplite/pkg\_dtplite\.md) · [dtplite](tcllib/files/apps/dtplite\.md) · [mpexpand](tcllib/files/modules/doctools/mpexpand\.md) · [tcldocstrip](tcllib/files/apps/tcldocstrip\.md)| |<a name='mastercard'></a>MasterCard|[valtype::creditcard::mastercard](tcllib/files/modules/valtype/cc\_mastercard\.md)| |<a name='matching'></a>matching|[grammar::me\_intro](tcllib/files/modules/grammar\_me/me\_intro\.md) · [grammar::peg::interp](tcllib/files/modules/grammar\_peg/peg\_interp\.md) · [pt](tcllib/files/apps/pt\.md) · [pt::ast](tcllib/files/modules/pt/pt\_astree\.md) · [pt::cparam::configuration::critcl](tcllib/files/modules/pt/pt\_cparam\_config\_critcl\.md) · [pt::cparam::configuration::tea](tcllib/files/modules/pt/pt\_cparam\_config\_tea\.md) · [pt::json\_language](tcllib/files/modules/pt/pt\_json\_language\.md) · [pt::param](tcllib/files/modules/pt/pt\_param\.md) · [pt::pe](tcllib/files/modules/pt/pt\_pexpression\.md) · [pt::pe::op](tcllib/files/modules/pt/pt\_pexpr\_op\.md) · [pt::peg](tcllib/files/modules/pt/pt\_pegrammar\.md) · [pt::peg::container](tcllib/files/modules/pt/pt\_peg\_container\.md) · [pt::peg::container::peg](tcllib/files/modules/pt/pt\_peg\_container\_peg\.md) · [pt::peg::export](tcllib/files/modules/pt/pt\_peg\_export\.md) · [pt::peg::export::container](tcllib/files/modules/pt/pt\_peg\_export\_container\.md) · [pt::peg::export::json](tcllib/files/modules/pt/pt\_peg\_export\_json\.md) · [pt::peg::export::peg](tcllib/files/modules/pt/pt\_peg\_export\_peg\.md) · [pt::peg::from::container](tcllib/files/modules/pt/pt\_peg\_from\_container\.md) · [pt::peg::from::json](tcllib/files/modules/pt/pt\_peg\_from\_json\.md) · [pt::peg::from::peg](tcllib/files/modules/pt/pt\_peg\_from\_peg\.md) · [pt::peg::import](tcllib/files/modules/pt/pt\_peg\_import\.md) · [pt::peg::import::container](tcllib/files/modules/pt/pt\_peg\_import\_container\.md) · [pt::peg::import::json](tcllib/files/modules/pt/pt\_peg\_import\_json\.md) · [pt::peg::import::peg](tcllib/files/modules/pt/pt\_peg\_import\_peg\.md) · [pt::peg::interp](tcllib/files/modules/pt/pt\_peg\_interp\.md) · [pt::peg::to::container](tcllib/files/modules/pt/pt\_peg\_to\_container\.md) · [pt::peg::to::cparam](tcllib/files/modules/pt/pt\_peg\_to\_cparam\.md) · [pt::peg::to::json](tcllib/files/modules/pt/pt\_peg\_to\_json\.md) · [pt::peg::to::param](tcllib/files/modules/pt/pt\_peg\_to\_param\.md) · [pt::peg::to::peg](tcllib/files/modules/pt/pt\_peg\_to\_peg\.md) · [pt::peg::to::tclparam](tcllib/files/modules/pt/pt\_peg\_to\_tclparam\.md) · [pt::peg\_language](tcllib/files/modules/pt/pt\_peg\_language\.md) · [pt::pegrammar](tcllib/files/modules/pt/pt\_peg\_introduction\.md) · [pt::pgen](tcllib/files/modules/pt/pt\_pgen\.md) · [pt::rde](tcllib/files/modules/pt/pt\_rdengine\.md) · [pt::tclparam::configuration::nx](tcllib/files/modules/pt/pt\_tclparam\_config\_nx\.md) · [pt::tclparam::configuration::snit](tcllib/files/modules/pt/pt\_tclparam\_config\_snit\.md) · [pt::tclparam::configuration::tcloo](tcllib/files/modules/pt/pt\_tclparam\_config\_tcloo\.md) · [pt::util](tcllib/files/modules/pt/pt\_util\.md) · [pt\_export\_api](tcllib/files/modules/pt/pt\_to\_api\.md) · [pt\_import\_api](tcllib/files/modules/pt/pt\_from\_api\.md) · [pt\_introduction](tcllib/files/modules/pt/pt\_introduction\.md) · [pt\_parse\_peg](tcllib/files/modules/pt/pt\_parse\_peg\.md) · [pt\_parser\_api](tcllib/files/modules/pt/pt\_parser\_api\.md) · [pt\_peg\_op](tcllib/files/modules/pt/pt\_peg\_op\.md) · [struct::graph::op](tcllib/files/modules/struct/graphops\.md)| |<a name='math'></a>math|[math](tcllib/files/modules/math/math\.md) · [math::bigfloat](tcllib/files/modules/math/bigfloat\.md) · [math::bignum](tcllib/files/modules/math/bignum\.md) · [math::calculus](tcllib/files/modules/math/calculus\.md) · [math::complexnumbers](tcllib/files/modules/math/qcomplex\.md) · [math::constants](tcllib/files/modules/math/constants\.md) · [math::decimal](tcllib/files/modules/math/decimal\.md) · [math::fuzzy](tcllib/files/modules/math/fuzzy\.md) · [math::geometry](tcllib/files/modules/math/math\_geometry\.md) · [math::interpolate](tcllib/files/modules/math/interpolate\.md) · [math::linearalgebra](tcllib/files/modules/math/linalg\.md) · [math::optimize](tcllib/files/modules/math/optimize\.md) · [math::PCA](tcllib/files/modules/math/pca\.md) · [math::polynomials](tcllib/files/modules/math/polynomials\.md) · [math::rationalfunctions](tcllib/files/modules/math/rational\_funcs\.md) · [math::special](tcllib/files/modules/math/special\.md) · [math::trig](tcllib/files/modules/math/trig\.md) · [simulation::annealing](tcllib/files/modules/simulation/annealing\.md) · [simulation::montecarlo](tcllib/files/modules/simulation/montecarlo\.md) · [simulation::random](tcllib/files/modules/simulation/simulation\_random\.md)| |<a name='mathematics'></a>mathematics|[math::fourier](tcllib/files/modules/math/fourier\.md) · [math::quasirandom](tcllib/files/modules/math/quasirandom\.md) · [math::statistics](tcllib/files/modules/math/statistics\.md)| |<a name='matrices'></a>matrices|[math::linearalgebra](tcllib/files/modules/math/linalg\.md)| |<a name='matrix'></a>matrix|[csv](tcllib/files/modules/csv/csv\.md) · [math::linearalgebra](tcllib/files/modules/math/linalg\.md) · [report](tcllib/files/modules/report/report\.md) · [struct::matrix](tcllib/files/modules/struct/matrix\.md) · [struct::matrix\_v1](tcllib/files/modules/struct/matrix1\.md) · [struct::queue](tcllib/files/modules/struct/queue\.md) · [struct::stack](tcllib/files/modules/struct/stack\.md)| |<a name='max\_cut'></a>max cut|[struct::graph::op](tcllib/files/modules/struct/graphops\.md)| |<a name='maximum'></a>maximum|[math::optimize](tcllib/files/modules/math/optimize\.md)| |<a name='maximum\_flow'></a>maximum flow|[struct::graph::op](tcllib/files/modules/struct/graphops\.md)| |<a name='md4'></a>md4|[md4](tcllib/files/modules/md4/md4\.md) · [ripemd128](tcllib/files/modules/ripemd/ripemd128\.md) · [ripemd160](tcllib/files/modules/ripemd/ripemd160\.md)| |<a name='md5'></a>md5|[md5](tcllib/files/modules/md5/md5\.md) · [md5crypt](tcllib/files/modules/md5crypt/md5crypt\.md)| |
| ︙ | ︙ | |||
683 684 685 686 687 688 689 690 691 692 693 694 695 696 | |<a name='push\_down\_automaton'></a>push down automaton|[grammar::me\_intro](tcllib/files/modules/grammar\_me/me\_intro\.md) · [grammar::peg](tcllib/files/modules/grammar\_peg/peg\.md) · [grammar::peg::interp](tcllib/files/modules/grammar\_peg/peg\_interp\.md) · [pt](tcllib/files/apps/pt\.md) · [pt::ast](tcllib/files/modules/pt/pt\_astree\.md) · [pt::cparam::configuration::critcl](tcllib/files/modules/pt/pt\_cparam\_config\_critcl\.md) · [pt::cparam::configuration::tea](tcllib/files/modules/pt/pt\_cparam\_config\_tea\.md) · [pt::json\_language](tcllib/files/modules/pt/pt\_json\_language\.md) · [pt::param](tcllib/files/modules/pt/pt\_param\.md) · [pt::pe](tcllib/files/modules/pt/pt\_pexpression\.md) · [pt::pe::op](tcllib/files/modules/pt/pt\_pexpr\_op\.md) · [pt::peg](tcllib/files/modules/pt/pt\_pegrammar\.md) · [pt::peg::container](tcllib/files/modules/pt/pt\_peg\_container\.md) · [pt::peg::container::peg](tcllib/files/modules/pt/pt\_peg\_container\_peg\.md) · [pt::peg::export](tcllib/files/modules/pt/pt\_peg\_export\.md) · [pt::peg::export::container](tcllib/files/modules/pt/pt\_peg\_export\_container\.md) · [pt::peg::export::json](tcllib/files/modules/pt/pt\_peg\_export\_json\.md) · [pt::peg::export::peg](tcllib/files/modules/pt/pt\_peg\_export\_peg\.md) · [pt::peg::from::container](tcllib/files/modules/pt/pt\_peg\_from\_container\.md) · [pt::peg::from::json](tcllib/files/modules/pt/pt\_peg\_from\_json\.md) · [pt::peg::from::peg](tcllib/files/modules/pt/pt\_peg\_from\_peg\.md) · [pt::peg::import](tcllib/files/modules/pt/pt\_peg\_import\.md) · [pt::peg::import::container](tcllib/files/modules/pt/pt\_peg\_import\_container\.md) · [pt::peg::import::json](tcllib/files/modules/pt/pt\_peg\_import\_json\.md) · [pt::peg::import::peg](tcllib/files/modules/pt/pt\_peg\_import\_peg\.md) · [pt::peg::interp](tcllib/files/modules/pt/pt\_peg\_interp\.md) · [pt::peg::to::container](tcllib/files/modules/pt/pt\_peg\_to\_container\.md) · [pt::peg::to::cparam](tcllib/files/modules/pt/pt\_peg\_to\_cparam\.md) · [pt::peg::to::json](tcllib/files/modules/pt/pt\_peg\_to\_json\.md) · [pt::peg::to::param](tcllib/files/modules/pt/pt\_peg\_to\_param\.md) · [pt::peg::to::peg](tcllib/files/modules/pt/pt\_peg\_to\_peg\.md) · [pt::peg::to::tclparam](tcllib/files/modules/pt/pt\_peg\_to\_tclparam\.md) · [pt::peg\_language](tcllib/files/modules/pt/pt\_peg\_language\.md) · [pt::pegrammar](tcllib/files/modules/pt/pt\_peg\_introduction\.md) · [pt::pgen](tcllib/files/modules/pt/pt\_pgen\.md) · [pt::rde](tcllib/files/modules/pt/pt\_rdengine\.md) · [pt::tclparam::configuration::nx](tcllib/files/modules/pt/pt\_tclparam\_config\_nx\.md) · [pt::tclparam::configuration::snit](tcllib/files/modules/pt/pt\_tclparam\_config\_snit\.md) · [pt::tclparam::configuration::tcloo](tcllib/files/modules/pt/pt\_tclparam\_config\_tcloo\.md) · [pt::util](tcllib/files/modules/pt/pt\_util\.md) · [pt\_export\_api](tcllib/files/modules/pt/pt\_to\_api\.md) · [pt\_import\_api](tcllib/files/modules/pt/pt\_from\_api\.md) · [pt\_introduction](tcllib/files/modules/pt/pt\_introduction\.md) · [pt\_parse\_peg](tcllib/files/modules/pt/pt\_parse\_peg\.md) · [pt\_parser\_api](tcllib/files/modules/pt/pt\_parser\_api\.md) · [pt\_peg\_op](tcllib/files/modules/pt/pt\_peg\_op\.md)| #### <a name='cQ'></a>Keywords: Q ||| |---|---| |<a name='queue'></a>queue|[csv](tcllib/files/modules/csv/csv\.md) · [htmlparse](tcllib/files/modules/htmlparse/htmlparse\.md) · [struct::stack](tcllib/files/modules/struct/stack\.md) · [transfer::copy::queue](tcllib/files/modules/transfer/tqueue\.md)| |<a name='quoting'></a>quoting|[page\_util\_quote](tcllib/files/modules/page/page\_util\_quote\.md)| #### <a name='cR'></a>Keywords: R ||| | > | 683 684 685 686 687 688 689 690 691 692 693 694 695 696 697 | |<a name='push\_down\_automaton'></a>push down automaton|[grammar::me\_intro](tcllib/files/modules/grammar\_me/me\_intro\.md) · [grammar::peg](tcllib/files/modules/grammar\_peg/peg\.md) · [grammar::peg::interp](tcllib/files/modules/grammar\_peg/peg\_interp\.md) · [pt](tcllib/files/apps/pt\.md) · [pt::ast](tcllib/files/modules/pt/pt\_astree\.md) · [pt::cparam::configuration::critcl](tcllib/files/modules/pt/pt\_cparam\_config\_critcl\.md) · [pt::cparam::configuration::tea](tcllib/files/modules/pt/pt\_cparam\_config\_tea\.md) · [pt::json\_language](tcllib/files/modules/pt/pt\_json\_language\.md) · [pt::param](tcllib/files/modules/pt/pt\_param\.md) · [pt::pe](tcllib/files/modules/pt/pt\_pexpression\.md) · [pt::pe::op](tcllib/files/modules/pt/pt\_pexpr\_op\.md) · [pt::peg](tcllib/files/modules/pt/pt\_pegrammar\.md) · [pt::peg::container](tcllib/files/modules/pt/pt\_peg\_container\.md) · [pt::peg::container::peg](tcllib/files/modules/pt/pt\_peg\_container\_peg\.md) · [pt::peg::export](tcllib/files/modules/pt/pt\_peg\_export\.md) · [pt::peg::export::container](tcllib/files/modules/pt/pt\_peg\_export\_container\.md) · [pt::peg::export::json](tcllib/files/modules/pt/pt\_peg\_export\_json\.md) · [pt::peg::export::peg](tcllib/files/modules/pt/pt\_peg\_export\_peg\.md) · [pt::peg::from::container](tcllib/files/modules/pt/pt\_peg\_from\_container\.md) · [pt::peg::from::json](tcllib/files/modules/pt/pt\_peg\_from\_json\.md) · [pt::peg::from::peg](tcllib/files/modules/pt/pt\_peg\_from\_peg\.md) · [pt::peg::import](tcllib/files/modules/pt/pt\_peg\_import\.md) · [pt::peg::import::container](tcllib/files/modules/pt/pt\_peg\_import\_container\.md) · [pt::peg::import::json](tcllib/files/modules/pt/pt\_peg\_import\_json\.md) · [pt::peg::import::peg](tcllib/files/modules/pt/pt\_peg\_import\_peg\.md) · [pt::peg::interp](tcllib/files/modules/pt/pt\_peg\_interp\.md) · [pt::peg::to::container](tcllib/files/modules/pt/pt\_peg\_to\_container\.md) · [pt::peg::to::cparam](tcllib/files/modules/pt/pt\_peg\_to\_cparam\.md) · [pt::peg::to::json](tcllib/files/modules/pt/pt\_peg\_to\_json\.md) · [pt::peg::to::param](tcllib/files/modules/pt/pt\_peg\_to\_param\.md) · [pt::peg::to::peg](tcllib/files/modules/pt/pt\_peg\_to\_peg\.md) · [pt::peg::to::tclparam](tcllib/files/modules/pt/pt\_peg\_to\_tclparam\.md) · [pt::peg\_language](tcllib/files/modules/pt/pt\_peg\_language\.md) · [pt::pegrammar](tcllib/files/modules/pt/pt\_peg\_introduction\.md) · [pt::pgen](tcllib/files/modules/pt/pt\_pgen\.md) · [pt::rde](tcllib/files/modules/pt/pt\_rdengine\.md) · [pt::tclparam::configuration::nx](tcllib/files/modules/pt/pt\_tclparam\_config\_nx\.md) · [pt::tclparam::configuration::snit](tcllib/files/modules/pt/pt\_tclparam\_config\_snit\.md) · [pt::tclparam::configuration::tcloo](tcllib/files/modules/pt/pt\_tclparam\_config\_tcloo\.md) · [pt::util](tcllib/files/modules/pt/pt\_util\.md) · [pt\_export\_api](tcllib/files/modules/pt/pt\_to\_api\.md) · [pt\_import\_api](tcllib/files/modules/pt/pt\_from\_api\.md) · [pt\_introduction](tcllib/files/modules/pt/pt\_introduction\.md) · [pt\_parse\_peg](tcllib/files/modules/pt/pt\_parse\_peg\.md) · [pt\_parser\_api](tcllib/files/modules/pt/pt\_parser\_api\.md) · [pt\_peg\_op](tcllib/files/modules/pt/pt\_peg\_op\.md)| #### <a name='cQ'></a>Keywords: Q ||| |---|---| |<a name='quasi\_random'></a>quasi\-random|[math::quasirandom](tcllib/files/modules/math/quasirandom\.md)| |<a name='queue'></a>queue|[csv](tcllib/files/modules/csv/csv\.md) · [htmlparse](tcllib/files/modules/htmlparse/htmlparse\.md) · [struct::stack](tcllib/files/modules/struct/stack\.md) · [transfer::copy::queue](tcllib/files/modules/transfer/tqueue\.md)| |<a name='quoting'></a>quoting|[page\_util\_quote](tcllib/files/modules/page/page\_util\_quote\.md)| #### <a name='cR'></a>Keywords: R ||| |
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[//000000001]: # (math::quasirandom \- Tcl Math Library)
[//000000002]: # (Generated from file 'quasirandom\.man' by tcllib/doctools with format 'markdown')
[//000000003]: # (math::quasirandom\(n\) 1 tcllib "Tcl Math Library")
<hr> [ <a href="../../../../toc.md">Main Table Of Contents</a> | <a
href="../../../toc.md">Table Of Contents</a> | <a
href="../../../../index.md">Keyword Index</a> | <a
href="../../../../toc0.md">Categories</a> | <a
href="../../../../toc1.md">Modules</a> | <a
href="../../../../toc2.md">Applications</a> ] <hr>
# NAME
math::quasirandom \- Quasi\-random points for integration and Monte Carlo type
methods
# <a name='toc'></a>Table Of Contents
- [Table Of Contents](#toc)
- [Synopsis](#synopsis)
- [Description](#section1)
- [COMMANDS](#section2)
- [TODO](#section3)
- [References](#section4)
- [Keywords](#keywords)
- [Category](#category)
# <a name='synopsis'></a>SYNOPSIS
package require Tcl 8\.5
package require TclOO
package require math::quasirandom 1
[__::math::quasirandom::qrpoint create__ *NAME* *DIM* ?ARGS?](#1)
[__gen next__](#2)
[__gen set\-start__ *index*](#3)
[__gen set\-evaluations__ *number*](#4)
[__gen integral__ *func* *minmax* *args*](#5)
# <a name='description'></a>DESCRIPTION
In many applications pseudo\-random numbers and pseudo\-random points in a
\(limited\) sample space play an important role\. For instance in any type of Monte
Carlo simulation\. Pseudo\-random numbers, however, may be too random and as a
consequence a large number of data points is required to reduce the error or
fluctuation in the results to the desired value\.
Quasi\-random numbers can be used as an alternative: instead of "completely"
arbitrary points, points are generated that are diverse enough to cover the
entire sample space in a more or less uniform way\. As a consequence convergence
to the limit can be much faster, when such quasi\-random numbers are well\-chosen\.
The package defines a *[class](\.\./\.\./\.\./\.\./index\.md\#class)* "qrpoint" that
creates a command to generate quasi\-random points in 1, 2 or more dimensions\.
The command can either generate separate points, so that they can be used in a
user\-defined algorithm or use these points to calculate integrals of functions
defined over 1, 2 or more dimensions\. It also holds several other common
algorithms\. \(NOTE: these are not implemented yet\)
One particular characteristic of the generators is that there are no tuning
parameters involved, which makes the use particularly simple\.
# <a name='section2'></a>COMMANDS
A quasi\-random point generator is created using the *qrpoint* class:
- <a name='1'></a>__::math::quasirandom::qrpoint create__ *NAME* *DIM* ?ARGS?
This command takes the following arguments:
* string *NAME*
The name of the command to be created \(alternatively: the *new*
subcommand will generate a unique name\)
* integer/string *DIM*
The number of dimensions or one of: "circle", "disk", "sphere" or "ball"
* strings *ARGS*
Zero or more key\-value pairs\. The supported options are:
+ *\-start index*: The index for the next point to be generated
\(default: 1\)
+ *\-evaluations number*: The number of evaluations to be used by
default \(default: 100\)
The points that are returned lie in the hyperblock \[0,1\[^n \(n the number of
dimensions\) or on the unit circle, within the unit disk, on the unit sphere or
within the unit ball\.
Each generator supports the following subcommands:
- <a name='2'></a>__gen next__
Return the coordinates of the next quasi\-random point
- <a name='3'></a>__gen set\-start__ *index*
Reset the index for the next quasi\-random point\. This is useful to control
which list of points is returned\. Returns the new or the current value, if
no value is given\.
- <a name='4'></a>__gen set\-evaluations__ *number*
Reset the default number of evaluations in compound algorithms\. Note that
the actual number is the smallest 4\-fold larger or equal to the given
number\. \(The 4\-fold plays a role in the detailed integration routine\.\)
- <a name='5'></a>__gen integral__ *func* *minmax* *args*
Calculate the integral of the given function over the block \(or the circle,
sphere etc\.\)
* string *func*
The name of the function to be integrated
* list *minmax*
List of pairs of minimum and maximum coordinates\. This can be used to
map the quasi\-random coordinates to the desired hyper\-block\.
If the space is a circle, disk etc\. then this argument should be a
single value, the radius\. The circle, disk, etc\. is centred at the
origin\. If this is not what is required, then a coordinate
transformation should be made within the function\.
* strings *args*
Zero or more key\-value pairs\. The following options are supported:
+ *\-evaluations number*: The number of evaluations to be used\. If
not specified use the default of the generator object\.
# <a name='section3'></a>TODO
Implement other algorithms and variants
Implement more unit tests\.
Comparison to pseudo\-random numbers for integration\.
# <a name='section4'></a>References
Various algorithms exist for generating quasi\-random numbers\. The generators
created in this package are based on:
[http://extremelearning\.com\.au/unreasonable\-effectiveness\-of\-quasirandom\-sequences/](http://extremelearning\.com\.au/unreasonable\-effectiveness\-of\-quasirandom\-sequences/)
# <a name='keywords'></a>KEYWORDS
[mathematics](\.\./\.\./\.\./\.\./index\.md\#mathematics),
[quasi\-random](\.\./\.\./\.\./\.\./index\.md\#quasi\_random)
# <a name='category'></a>CATEGORY
Mathematics
|
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370 371 372 373 374 375 376 377 378 379 380 381 382 383 | - [math::numtheory](tcllib/files/modules/math/numtheory\.md) Number Theory - [math::optimize](tcllib/files/modules/math/optimize\.md) Optimisation routines - [math::PCA](tcllib/files/modules/math/pca\.md) Package for Principal Component Analysis - [math::polynomials](tcllib/files/modules/math/polynomials\.md) Polynomial functions - [math::rationalfunctions](tcllib/files/modules/math/rational\_funcs\.md) Polynomial functions - [math::roman](tcllib/files/modules/math/roman\.md) Tools for creating and manipulating roman numerals - [math::special](tcllib/files/modules/math/special\.md) Special mathematical functions | > > | 370 371 372 373 374 375 376 377 378 379 380 381 382 383 384 385 | - [math::numtheory](tcllib/files/modules/math/numtheory\.md) Number Theory - [math::optimize](tcllib/files/modules/math/optimize\.md) Optimisation routines - [math::PCA](tcllib/files/modules/math/pca\.md) Package for Principal Component Analysis - [math::polynomials](tcllib/files/modules/math/polynomials\.md) Polynomial functions - [math::quasirandom](tcllib/files/modules/math/quasirandom\.md) Quasi\-random points for integration and Monte Carlo type methods - [math::rationalfunctions](tcllib/files/modules/math/rational\_funcs\.md) Polynomial functions - [math::roman](tcllib/files/modules/math/roman\.md) Tools for creating and manipulating roman numerals - [math::special](tcllib/files/modules/math/special\.md) Special mathematical functions |
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399 400 401 402 403 404 405 406 407 408 409 410 411 412 |
+ [math::optimize](tcllib/files/modules/math/optimize\.md) Optimisation routines
+ [math::PCA](tcllib/files/modules/math/pca\.md) Package for Principal Component Analysis
+ [math::polynomials](tcllib/files/modules/math/polynomials\.md) Polynomial functions
+ [math::rationalfunctions](tcllib/files/modules/math/rational\_funcs\.md) Polynomial functions
+ [math::roman](tcllib/files/modules/math/roman\.md) Tools for creating and manipulating roman numerals
+ [math::special](tcllib/files/modules/math/special\.md) Special mathematical functions
+ [math::statistics](tcllib/files/modules/math/statistics\.md) Basic statistical functions and procedures
| > > | 399 400 401 402 403 404 405 406 407 408 409 410 411 412 413 414 |
+ [math::optimize](tcllib/files/modules/math/optimize\.md) Optimisation routines
+ [math::PCA](tcllib/files/modules/math/pca\.md) Package for Principal Component Analysis
+ [math::polynomials](tcllib/files/modules/math/polynomials\.md) Polynomial functions
+ [math::quasirandom](tcllib/files/modules/math/quasirandom\.md) Quasi\-random points for integration and Monte Carlo type methods
+ [math::rationalfunctions](tcllib/files/modules/math/rational\_funcs\.md) Polynomial functions
+ [math::roman](tcllib/files/modules/math/roman\.md) Tools for creating and manipulating roman numerals
+ [math::special](tcllib/files/modules/math/special\.md) Special mathematical functions
+ [math::statistics](tcllib/files/modules/math/statistics\.md) Basic statistical functions and procedures
|
| ︙ | ︙ | |||
1450 1451 1452 1453 1454 1455 1456 1457 1458 1459 1460 1461 1462 1463 |
- [math::numtheory](tcllib/files/modules/math/numtheory\.md) Number Theory
- [math::optimize](tcllib/files/modules/math/optimize\.md) Optimisation routines
- [math::PCA](tcllib/files/modules/math/pca\.md) Package for Principal Component Analysis
- [math::polynomials](tcllib/files/modules/math/polynomials\.md) Polynomial functions
- [math::rationalfunctions](tcllib/files/modules/math/rational\_funcs\.md) Polynomial functions
- [math::roman](tcllib/files/modules/math/roman\.md) Tools for creating and manipulating roman numerals
- [math::special](tcllib/files/modules/math/special\.md) Special mathematical functions
| > > | 1452 1453 1454 1455 1456 1457 1458 1459 1460 1461 1462 1463 1464 1465 1466 1467 |
- [math::numtheory](tcllib/files/modules/math/numtheory\.md) Number Theory
- [math::optimize](tcllib/files/modules/math/optimize\.md) Optimisation routines
- [math::PCA](tcllib/files/modules/math/pca\.md) Package for Principal Component Analysis
- [math::polynomials](tcllib/files/modules/math/polynomials\.md) Polynomial functions
- [math::quasirandom](tcllib/files/modules/math/quasirandom\.md) Quasi\-random points for integration and Monte Carlo type methods
- [math::rationalfunctions](tcllib/files/modules/math/rational\_funcs\.md) Polynomial functions
- [math::roman](tcllib/files/modules/math/roman\.md) Tools for creating and manipulating roman numerals
- [math::special](tcllib/files/modules/math/special\.md) Special mathematical functions
|
| ︙ | ︙ |
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| ︙ | ︙ | |||
398 399 400 401 402 403 404 405 406 407 408 409 410 411 |
+ [math::numtheory](tcllib/files/modules/math/numtheory\.md) Number Theory
+ [math::optimize](tcllib/files/modules/math/optimize\.md) Optimisation routines
+ [math::PCA](tcllib/files/modules/math/pca\.md) Package for Principal Component Analysis
+ [math::polynomials](tcllib/files/modules/math/polynomials\.md) Polynomial functions
+ [math::rationalfunctions](tcllib/files/modules/math/rational\_funcs\.md) Polynomial functions
+ [math::roman](tcllib/files/modules/math/roman\.md) Tools for creating and manipulating roman numerals
+ [math::special](tcllib/files/modules/math/special\.md) Special mathematical functions
| > > | 398 399 400 401 402 403 404 405 406 407 408 409 410 411 412 413 |
+ [math::numtheory](tcllib/files/modules/math/numtheory\.md) Number Theory
+ [math::optimize](tcllib/files/modules/math/optimize\.md) Optimisation routines
+ [math::PCA](tcllib/files/modules/math/pca\.md) Package for Principal Component Analysis
+ [math::polynomials](tcllib/files/modules/math/polynomials\.md) Polynomial functions
+ [math::quasirandom](tcllib/files/modules/math/quasirandom\.md) Quasi\-random points for integration and Monte Carlo type methods
+ [math::rationalfunctions](tcllib/files/modules/math/rational\_funcs\.md) Polynomial functions
+ [math::roman](tcllib/files/modules/math/roman\.md) Tools for creating and manipulating roman numerals
+ [math::special](tcllib/files/modules/math/special\.md) Special mathematical functions
|
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+ [math::numtheory](tcllib/files/modules/math/numtheory\.md) Number Theory
+ [math::optimize](tcllib/files/modules/math/optimize\.md) Optimisation routines
+ [math::PCA](tcllib/files/modules/math/pca\.md) Package for Principal Component Analysis
+ [math::polynomials](tcllib/files/modules/math/polynomials\.md) Polynomial functions
+ [math::rationalfunctions](tcllib/files/modules/math/rational\_funcs\.md) Polynomial functions
+ [math::roman](tcllib/files/modules/math/roman\.md) Tools for creating and manipulating roman numerals
+ [math::special](tcllib/files/modules/math/special\.md) Special mathematical functions
| > > | 512 513 514 515 516 517 518 519 520 521 522 523 524 525 526 527 |
+ [math::numtheory](tcllib/files/modules/math/numtheory\.md) Number Theory
+ [math::optimize](tcllib/files/modules/math/optimize\.md) Optimisation routines
+ [math::PCA](tcllib/files/modules/math/pca\.md) Package for Principal Component Analysis
+ [math::polynomials](tcllib/files/modules/math/polynomials\.md) Polynomial functions
+ [math::quasirandom](tcllib/files/modules/math/quasirandom\.md) Quasi\-random points for integration and Monte Carlo type methods
+ [math::rationalfunctions](tcllib/files/modules/math/rational\_funcs\.md) Polynomial functions
+ [math::roman](tcllib/files/modules/math/roman\.md) Tools for creating and manipulating roman numerals
+ [math::special](tcllib/files/modules/math/special\.md) Special mathematical functions
|
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'\"
'\" Generated from file 'quasirandom\&.man' by tcllib/doctools with format 'nroff'
'\"
.TH "math::quasirandom" n 1 tcllib "Tcl Math Library"
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.SH NAME
math::quasirandom \- Quasi-random points for integration and Monte Carlo type methods
.SH SYNOPSIS
package require \fBTcl 8\&.5\fR
.sp
package require \fBTclOO \fR
.sp
package require \fBmath::quasirandom 1\fR
.sp
\fB::math::quasirandom::qrpoint create\fR \fINAME\fR \fIDIM\fR ?ARGS?
.sp
\fBgen next\fR
.sp
\fBgen set-start\fR \fIindex\fR
.sp
\fBgen set-evaluations\fR \fInumber\fR
.sp
\fBgen integral\fR \fIfunc\fR \fIminmax\fR \fIargs\fR
.sp
.BE
.SH DESCRIPTION
.PP
In many applications pseudo-random numbers and pseudo-random points in a (limited)
sample space play an important role\&. For instance in any type of Monte Carlo simulation\&.
Pseudo-random numbers, however, may be too random and as a consequence a large
number of data points is required to reduce the error or fluctuation in the results
to the desired value\&.
.PP
Quasi-random numbers can be used as an alternative: instead of "completely" arbitrary
points, points are generated that are diverse enough to cover the entire sample space
in a more or less uniform way\&. As a consequence convergence to the limit can be
much faster, when such quasi-random numbers are well-chosen\&.
.PP
The package defines a \fIclass\fR "qrpoint" that creates a command to generate
quasi-random points in 1, 2 or more dimensions\&. The command can either generate
separate points, so that they can be used in a user-defined algorithm or use these
points to calculate integrals of functions defined over 1, 2 or more dimensions\&.
It also holds several other common algorithms\&. (NOTE: these are not implemented yet)
.PP
One particular characteristic of the generators is that there are no tuning parameters
involved, which makes the use particularly simple\&.
.SH COMMANDS
A quasi-random point generator is created using the \fIqrpoint\fR class:
.TP
\fB::math::quasirandom::qrpoint create\fR \fINAME\fR \fIDIM\fR ?ARGS?
This command takes the following arguments:
.RS
.TP
string \fINAME\fR
The name of the command to be created (alternatively: the \fInew\fR subcommand
will generate a unique name)
.TP
integer/string \fIDIM\fR
The number of dimensions or one of: "circle", "disk", "sphere" or "ball"
.TP
strings \fIARGS\fR
Zero or more key-value pairs\&. The supported options are:
.RS
.IP \(bu
\fI-start index\fR: The index for the next point to be generated (default: 1)
.IP \(bu
\fI-evaluations number\fR: The number of evaluations to be used by default (default: 100)
.RE
.RE
.PP
The points that are returned lie in the hyperblock [0,1[^n (n the number of dimensions)
or on the unit circle, within the unit disk, on the unit sphere or within the unit ball\&.
.PP
Each generator supports the following subcommands:
.TP
\fBgen next\fR
Return the coordinates of the next quasi-random point
.sp
.TP
\fBgen set-start\fR \fIindex\fR
Reset the index for the next quasi-random point\&. This is useful to control which list of points is returned\&.
Returns the new or the current value, if no value is given\&.
.sp
.TP
\fBgen set-evaluations\fR \fInumber\fR
Reset the default number of evaluations in compound algorithms\&. Note that the actual number is the
smallest 4-fold larger or equal to the given number\&. (The 4-fold plays a role in the detailed integration
routine\&.)
.sp
.TP
\fBgen integral\fR \fIfunc\fR \fIminmax\fR \fIargs\fR
Calculate the integral of the given function over the block (or the circle, sphere etc\&.)
.RS
.TP
string \fIfunc\fR
The name of the function to be integrated
.TP
list \fIminmax\fR
List of pairs of minimum and maximum coordinates\&. This can be used to
map the quasi-random coordinates to the desired hyper-block\&.
.sp
If the space is a circle, disk etc\&. then this argument should be a single value, the radius\&.
The circle, disk, etc\&. is centred at the origin\&. If this is not what is required, then a coordinate
transformation should be made within the function\&.
.TP
strings \fIargs\fR
Zero or more key-value pairs\&. The following options are supported:
.RS
.IP \(bu
\fI-evaluations number\fR: The number of evaluations to be used\&. If not specified use the
default of the generator object\&.
.RE
.RE
.PP
.SH TODO
Implement other algorithms and variants
.PP
Implement more unit tests\&.
.PP
Comparison to pseudo-random numbers for integration\&.
.SH REFERENCES
Various algorithms exist for generating quasi-random numbers\&. The generators created in this package are based on:
\fIhttp://extremelearning\&.com\&.au/unreasonable-effectiveness-of-quasirandom-sequences/\fR
.SH KEYWORDS
mathematics, quasi-random
.SH CATEGORY
Mathematics
|
Changes to idoc/man/index.n.
| ︙ | ︙ | |||
6603 6604 6605 6606 6607 6608 6609 6610 6611 6612 6613 6614 6615 6616 | simulation::random .RE mathematics .RS .TP \fBfiles/modules/math/fourier\&.n\fR math::fourier .TP \fBfiles/modules/math/statistics\&.n\fR math::statistics .RE matrices .RS .TP | > > > | 6603 6604 6605 6606 6607 6608 6609 6610 6611 6612 6613 6614 6615 6616 6617 6618 6619 | simulation::random .RE mathematics .RS .TP \fBfiles/modules/math/fourier\&.n\fR math::fourier .TP \fBfiles/modules/math/quasirandom\&.n\fR math::quasirandom .TP \fBfiles/modules/math/statistics\&.n\fR math::statistics .RE matrices .RS .TP |
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8410 8411 8412 8413 8414 8415 8416 8417 8418 8419 8420 8421 8422 8423 | .TP \fBfiles/modules/pt/pt_parser_api\&.n\fR pt_parser_api .TP \fBfiles/modules/pt/pt_peg_op\&.n\fR pt_peg_op .RE queue .RS .TP \fBfiles/modules/csv/csv\&.n\fR csv .TP \fBfiles/modules/htmlparse/htmlparse\&.n\fR | > > > > > > | 8413 8414 8415 8416 8417 8418 8419 8420 8421 8422 8423 8424 8425 8426 8427 8428 8429 8430 8431 8432 | .TP \fBfiles/modules/pt/pt_parser_api\&.n\fR pt_parser_api .TP \fBfiles/modules/pt/pt_peg_op\&.n\fR pt_peg_op .RE quasi-random .RS .TP \fBfiles/modules/math/quasirandom\&.n\fR math::quasirandom .RE queue .RS .TP \fBfiles/modules/csv/csv\&.n\fR csv .TP \fBfiles/modules/htmlparse/htmlparse\&.n\fR |
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| ︙ | ︙ | |||
827 828 829 830 831 832 833 834 835 836 837 838 839 840 | .TP \fBmath::PCA\fR \fIfiles/modules/math/pca\&.n\fR: Package for Principal Component Analysis .TP \fBmath::polynomials\fR \fIfiles/modules/math/polynomials\&.n\fR: Polynomial functions .TP \fBmath::rationalfunctions\fR \fIfiles/modules/math/rational_funcs\&.n\fR: Polynomial functions .TP \fBmath::roman\fR \fIfiles/modules/math/roman\&.n\fR: Tools for creating and manipulating roman numerals .TP \fBmath::special\fR | > > > | 827 828 829 830 831 832 833 834 835 836 837 838 839 840 841 842 843 | .TP \fBmath::PCA\fR \fIfiles/modules/math/pca\&.n\fR: Package for Principal Component Analysis .TP \fBmath::polynomials\fR \fIfiles/modules/math/polynomials\&.n\fR: Polynomial functions .TP \fBmath::quasirandom\fR \fIfiles/modules/math/quasirandom\&.n\fR: Quasi-random points for integration and Monte Carlo type methods .TP \fBmath::rationalfunctions\fR \fIfiles/modules/math/rational_funcs\&.n\fR: Polynomial functions .TP \fBmath::roman\fR \fIfiles/modules/math/roman\&.n\fR: Tools for creating and manipulating roman numerals .TP \fBmath::special\fR |
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| ︙ | ︙ | |||
2271 2272 2273 2274 2275 2276 2277 | <td class="#doctools_idxleft" width="35%"><a name="math"> math </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/math/math.html"> math </a> · <a href="tcllib/files/modules/math/bigfloat.html"> math::bigfloat </a> · <a href="tcllib/files/modules/math/bignum.html"> math::bignum </a> · <a href="tcllib/files/modules/math/calculus.html"> math::calculus </a> · <a href="tcllib/files/modules/math/qcomplex.html"> math::complexnumbers </a> · <a href="tcllib/files/modules/math/constants.html"> math::constants </a> · <a href="tcllib/files/modules/math/decimal.html"> math::decimal </a> · <a href="tcllib/files/modules/math/fuzzy.html"> math::fuzzy </a> · <a href="tcllib/files/modules/math/math_geometry.html"> math::geometry </a> · <a href="tcllib/files/modules/math/interpolate.html"> math::interpolate </a> · <a href="tcllib/files/modules/math/linalg.html"> math::linearalgebra </a> · <a href="tcllib/files/modules/math/optimize.html"> math::optimize </a> · <a href="tcllib/files/modules/math/pca.html"> math::PCA </a> · <a href="tcllib/files/modules/math/polynomials.html"> math::polynomials </a> · <a href="tcllib/files/modules/math/rational_funcs.html"> math::rationalfunctions </a> · <a href="tcllib/files/modules/math/special.html"> math::special </a> · <a href="tcllib/files/modules/math/trig.html"> math::trig </a> · <a href="tcllib/files/modules/simulation/annealing.html"> simulation::annealing </a> · <a href="tcllib/files/modules/simulation/montecarlo.html"> simulation::montecarlo </a> · <a href="tcllib/files/modules/simulation/simulation_random.html"> simulation::random </a> </td></tr> <tr class="#doctools_idxeven" valign=top> <td class="#doctools_idxleft" width="35%"><a name="mathematics"> mathematics </a></td> <td class="#doctools_idxright" width="65%"> | | | 2271 2272 2273 2274 2275 2276 2277 2278 2279 2280 2281 2282 2283 2284 2285 | <td class="#doctools_idxleft" width="35%"><a name="math"> math </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/math/math.html"> math </a> · <a href="tcllib/files/modules/math/bigfloat.html"> math::bigfloat </a> · <a href="tcllib/files/modules/math/bignum.html"> math::bignum </a> · <a href="tcllib/files/modules/math/calculus.html"> math::calculus </a> · <a href="tcllib/files/modules/math/qcomplex.html"> math::complexnumbers </a> · <a href="tcllib/files/modules/math/constants.html"> math::constants </a> · <a href="tcllib/files/modules/math/decimal.html"> math::decimal </a> · <a href="tcllib/files/modules/math/fuzzy.html"> math::fuzzy </a> · <a href="tcllib/files/modules/math/math_geometry.html"> math::geometry </a> · <a href="tcllib/files/modules/math/interpolate.html"> math::interpolate </a> · <a href="tcllib/files/modules/math/linalg.html"> math::linearalgebra </a> · <a href="tcllib/files/modules/math/optimize.html"> math::optimize </a> · <a href="tcllib/files/modules/math/pca.html"> math::PCA </a> · <a href="tcllib/files/modules/math/polynomials.html"> math::polynomials </a> · <a href="tcllib/files/modules/math/rational_funcs.html"> math::rationalfunctions </a> · <a href="tcllib/files/modules/math/special.html"> math::special </a> · <a href="tcllib/files/modules/math/trig.html"> math::trig </a> · <a href="tcllib/files/modules/simulation/annealing.html"> simulation::annealing </a> · <a href="tcllib/files/modules/simulation/montecarlo.html"> simulation::montecarlo </a> · <a href="tcllib/files/modules/simulation/simulation_random.html"> simulation::random </a> </td></tr> <tr class="#doctools_idxeven" valign=top> <td class="#doctools_idxleft" width="35%"><a name="mathematics"> mathematics </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/math/fourier.html"> math::fourier </a> · <a href="tcllib/files/modules/math/quasirandom.html"> math::quasirandom </a> · <a href="tcllib/files/modules/math/statistics.html"> math::statistics </a> </td></tr> <tr class="#doctools_idxodd" valign=top> <td class="#doctools_idxleft" width="35%"><a name="matrices"> matrices </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/math/linalg.html"> math::linearalgebra </a> </td></tr> <tr class="#doctools_idxeven" valign=top> |
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2931 2932 2933 2934 2935 2936 2937 2938 2939 2940 2941 | <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/grammar_me/me_intro.html"> grammar::me_intro </a> · <a href="tcllib/files/modules/grammar_peg/peg.html"> grammar::peg </a> · <a href="tcllib/files/modules/grammar_peg/peg_interp.html"> grammar::peg::interp </a> · <a href="tcllib/files/apps/pt.html"> pt </a> · <a href="tcllib/files/modules/pt/pt_astree.html"> pt::ast </a> · <a href="tcllib/files/modules/pt/pt_cparam_config_critcl.html"> pt::cparam::configuration::critcl </a> · <a href="tcllib/files/modules/pt/pt_cparam_config_tea.html"> pt::cparam::configuration::tea </a> · <a href="tcllib/files/modules/pt/pt_json_language.html"> pt::json_language </a> · <a href="tcllib/files/modules/pt/pt_param.html"> pt::param </a> · <a href="tcllib/files/modules/pt/pt_pexpression.html"> pt::pe </a> · <a href="tcllib/files/modules/pt/pt_pexpr_op.html"> pt::pe::op </a> · <a href="tcllib/files/modules/pt/pt_pegrammar.html"> pt::peg </a> · <a href="tcllib/files/modules/pt/pt_peg_container.html"> pt::peg::container </a> · <a href="tcllib/files/modules/pt/pt_peg_container_peg.html"> pt::peg::container::peg </a> · <a href="tcllib/files/modules/pt/pt_peg_export.html"> pt::peg::export </a> · <a href="tcllib/files/modules/pt/pt_peg_export_container.html"> pt::peg::export::container </a> · <a href="tcllib/files/modules/pt/pt_peg_export_json.html"> pt::peg::export::json </a> · <a href="tcllib/files/modules/pt/pt_peg_export_peg.html"> pt::peg::export::peg </a> · <a href="tcllib/files/modules/pt/pt_peg_from_container.html"> pt::peg::from::container </a> · <a href="tcllib/files/modules/pt/pt_peg_from_json.html"> pt::peg::from::json </a> · <a href="tcllib/files/modules/pt/pt_peg_from_peg.html"> pt::peg::from::peg </a> · <a href="tcllib/files/modules/pt/pt_peg_import.html"> pt::peg::import </a> · <a href="tcllib/files/modules/pt/pt_peg_import_container.html"> pt::peg::import::container </a> · <a href="tcllib/files/modules/pt/pt_peg_import_json.html"> pt::peg::import::json </a> · <a href="tcllib/files/modules/pt/pt_peg_import_peg.html"> pt::peg::import::peg </a> · <a href="tcllib/files/modules/pt/pt_peg_interp.html"> pt::peg::interp </a> · <a href="tcllib/files/modules/pt/pt_peg_to_container.html"> pt::peg::to::container </a> · <a href="tcllib/files/modules/pt/pt_peg_to_cparam.html"> pt::peg::to::cparam </a> · <a href="tcllib/files/modules/pt/pt_peg_to_json.html"> pt::peg::to::json </a> · <a href="tcllib/files/modules/pt/pt_peg_to_param.html"> pt::peg::to::param </a> · <a href="tcllib/files/modules/pt/pt_peg_to_peg.html"> pt::peg::to::peg </a> · <a href="tcllib/files/modules/pt/pt_peg_to_tclparam.html"> pt::peg::to::tclparam </a> · <a href="tcllib/files/modules/pt/pt_peg_language.html"> pt::peg_language </a> · <a href="tcllib/files/modules/pt/pt_peg_introduction.html"> pt::pegrammar </a> · <a href="tcllib/files/modules/pt/pt_pgen.html"> pt::pgen </a> · <a href="tcllib/files/modules/pt/pt_rdengine.html"> pt::rde </a> · <a href="tcllib/files/modules/pt/pt_tclparam_config_nx.html"> pt::tclparam::configuration::nx </a> · <a href="tcllib/files/modules/pt/pt_tclparam_config_snit.html"> pt::tclparam::configuration::snit </a> · <a href="tcllib/files/modules/pt/pt_tclparam_config_tcloo.html"> pt::tclparam::configuration::tcloo </a> · <a href="tcllib/files/modules/pt/pt_util.html"> pt::util </a> · <a href="tcllib/files/modules/pt/pt_to_api.html"> pt_export_api </a> · <a href="tcllib/files/modules/pt/pt_from_api.html"> pt_import_api </a> · <a href="tcllib/files/modules/pt/pt_introduction.html"> pt_introduction </a> · <a href="tcllib/files/modules/pt/pt_parse_peg.html"> pt_parse_peg </a> · <a href="tcllib/files/modules/pt/pt_parser_api.html"> pt_parser_api </a> · <a href="tcllib/files/modules/pt/pt_peg_op.html"> pt_peg_op </a> </td></tr> <tr class="#doctools_idxheader"><th colspan="2"> <a name="cQ">Keywords: Q</a> </th></tr> <tr 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href="tcllib/files/modules/pt/pt_pexpression.html"> pt::pe </a> · <a href="tcllib/files/modules/pt/pt_pexpr_op.html"> pt::pe::op </a> · <a href="tcllib/files/modules/pt/pt_pegrammar.html"> pt::peg </a> · <a href="tcllib/files/modules/pt/pt_peg_container.html"> pt::peg::container </a> · <a href="tcllib/files/modules/pt/pt_peg_container_peg.html"> pt::peg::container::peg </a> · <a href="tcllib/files/modules/pt/pt_peg_export.html"> pt::peg::export </a> · <a href="tcllib/files/modules/pt/pt_peg_export_container.html"> pt::peg::export::container </a> · <a href="tcllib/files/modules/pt/pt_peg_export_json.html"> pt::peg::export::json </a> · <a href="tcllib/files/modules/pt/pt_peg_export_peg.html"> pt::peg::export::peg </a> · <a href="tcllib/files/modules/pt/pt_peg_from_container.html"> pt::peg::from::container </a> · <a href="tcllib/files/modules/pt/pt_peg_from_json.html"> pt::peg::from::json </a> · <a href="tcllib/files/modules/pt/pt_peg_from_peg.html"> pt::peg::from::peg </a> · <a href="tcllib/files/modules/pt/pt_peg_import.html"> pt::peg::import </a> · <a href="tcllib/files/modules/pt/pt_peg_import_container.html"> pt::peg::import::container </a> · <a href="tcllib/files/modules/pt/pt_peg_import_json.html"> pt::peg::import::json </a> · <a href="tcllib/files/modules/pt/pt_peg_import_peg.html"> pt::peg::import::peg </a> · <a href="tcllib/files/modules/pt/pt_peg_interp.html"> pt::peg::interp </a> · <a href="tcllib/files/modules/pt/pt_peg_to_container.html"> pt::peg::to::container </a> · <a href="tcllib/files/modules/pt/pt_peg_to_cparam.html"> pt::peg::to::cparam </a> · <a href="tcllib/files/modules/pt/pt_peg_to_json.html"> pt::peg::to::json </a> · <a href="tcllib/files/modules/pt/pt_peg_to_param.html"> pt::peg::to::param </a> · <a href="tcllib/files/modules/pt/pt_peg_to_peg.html"> pt::peg::to::peg </a> · <a href="tcllib/files/modules/pt/pt_peg_to_tclparam.html"> pt::peg::to::tclparam </a> · <a href="tcllib/files/modules/pt/pt_peg_language.html"> pt::peg_language </a> · <a href="tcllib/files/modules/pt/pt_peg_introduction.html"> pt::pegrammar </a> · <a href="tcllib/files/modules/pt/pt_pgen.html"> pt::pgen </a> · <a href="tcllib/files/modules/pt/pt_rdengine.html"> pt::rde </a> · <a href="tcllib/files/modules/pt/pt_tclparam_config_nx.html"> pt::tclparam::configuration::nx </a> · <a href="tcllib/files/modules/pt/pt_tclparam_config_snit.html"> pt::tclparam::configuration::snit </a> · <a href="tcllib/files/modules/pt/pt_tclparam_config_tcloo.html"> pt::tclparam::configuration::tcloo </a> · <a href="tcllib/files/modules/pt/pt_util.html"> pt::util </a> · <a href="tcllib/files/modules/pt/pt_to_api.html"> pt_export_api </a> · <a href="tcllib/files/modules/pt/pt_from_api.html"> pt_import_api </a> · <a href="tcllib/files/modules/pt/pt_introduction.html"> pt_introduction </a> · <a href="tcllib/files/modules/pt/pt_parse_peg.html"> pt_parse_peg </a> · <a href="tcllib/files/modules/pt/pt_parser_api.html"> pt_parser_api </a> · <a href="tcllib/files/modules/pt/pt_peg_op.html"> pt_peg_op </a> </td></tr> <tr class="#doctools_idxheader"><th colspan="2"> <a name="cQ">Keywords: Q</a> </th></tr> <tr class="#doctools_idxeven" valign=top> <td class="#doctools_idxleft" width="35%"><a name="quasi_random"> quasi-random </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/math/quasirandom.html"> math::quasirandom </a> </td></tr> <tr class="#doctools_idxodd" valign=top> <td class="#doctools_idxleft" width="35%"><a name="queue"> queue </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/csv/csv.html"> csv </a> · <a href="tcllib/files/modules/htmlparse/htmlparse.html"> htmlparse </a> · <a href="tcllib/files/modules/struct/stack.html"> struct::stack </a> · <a href="tcllib/files/modules/transfer/tqueue.html"> transfer::copy::queue </a> </td></tr> <tr class="#doctools_idxeven" valign=top> <td class="#doctools_idxleft" width="35%"><a name="quoting"> quoting </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/page/page_util_quote.html"> page_util_quote </a> </td></tr> <tr class="#doctools_idxheader"><th colspan="2"> <a name="cR">Keywords: R</a> </th></tr> <tr class="#doctools_idxodd" valign=top> <td class="#doctools_idxleft" width="35%"><a name="radians"> radians </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/math/constants.html"> math::constants </a> · <a href="tcllib/files/modules/units/units.html"> units </a> </td></tr> <tr class="#doctools_idxeven" valign=top> <td class="#doctools_idxleft" width="35%"><a name="radiobutton"> radiobutton </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/html/html.html"> html </a> </td></tr> <tr class="#doctools_idxodd" valign=top> <td class="#doctools_idxleft" width="35%"><a name="radius"> radius </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/struct/graphops.html"> struct::graph::op </a> </td></tr> <tr class="#doctools_idxeven" valign=top> <td class="#doctools_idxleft" width="35%"><a name="random"> random </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/virtchannel_base/tcllib_random.html"> tcl::chan::random </a> · <a href="tcllib/files/modules/virtchannel_base/randseed.html"> tcl::randomseed </a> </td></tr> <tr class="#doctools_idxodd" valign=top> <td class="#doctools_idxleft" width="35%"><a name="random_numbers"> random numbers </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/simulation/simulation_random.html"> simulation::random </a> </td></tr> <tr class="#doctools_idxeven" valign=top> <td class="#doctools_idxleft" width="35%"><a name="rational_functions"> rational functions </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/math/rational_funcs.html"> math::rationalfunctions </a> </td></tr> <tr class="#doctools_idxodd" valign=top> <td class="#doctools_idxleft" width="35%"><a name="raw"> raw </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/term/ansi_ctrlu.html"> term::ansi::ctrl::unix </a> </td></tr> <tr class="#doctools_idxeven" valign=top> <td class="#doctools_idxleft" width="35%"><a name="rc4"> rc4 </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/rc4/rc4.html"> rc4 </a> </td></tr> <tr class="#doctools_idxodd" valign=top> <td class="#doctools_idxleft" width="35%"><a name="rcs"> RCS </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/rcs/rcs.html"> rcs </a> </td></tr> <tr class="#doctools_idxeven" valign=top> <td class="#doctools_idxleft" width="35%"><a name="rcs_patch"> RCS patch </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/rcs/rcs.html"> rcs </a> </td></tr> <tr class="#doctools_idxodd" valign=top> <td class="#doctools_idxleft" width="35%"><a name="read"> read </a></td> <td 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class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/nns/nns_auto.html"> nameserv::auto </a> </td></tr> <tr class="#doctools_idxodd" valign=top> <td class="#doctools_idxleft" width="35%"><a name="record"> record </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/struct/queue.html"> struct::queue </a> · <a href="tcllib/files/modules/struct/record.html"> struct::record </a> </td></tr> <tr class="#doctools_idxeven" valign=top> <td class="#doctools_idxleft" width="35%"><a name="recursive_descent"> recursive descent </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/grammar_me/me_intro.html"> grammar::me_intro </a> · <a href="tcllib/files/modules/grammar_peg/peg.html"> grammar::peg </a> · <a href="tcllib/files/modules/grammar_peg/peg_interp.html"> grammar::peg::interp </a> · <a href="tcllib/files/apps/pt.html"> pt </a> · <a href="tcllib/files/modules/pt/pt_astree.html"> pt::ast </a> · <a 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pt::peg::to::json </a> · <a href="tcllib/files/modules/pt/pt_peg_to_param.html"> pt::peg::to::param </a> · <a href="tcllib/files/modules/pt/pt_peg_to_peg.html"> pt::peg::to::peg </a> · <a href="tcllib/files/modules/pt/pt_peg_to_tclparam.html"> pt::peg::to::tclparam </a> · <a href="tcllib/files/modules/pt/pt_peg_language.html"> pt::peg_language </a> · <a href="tcllib/files/modules/pt/pt_peg_introduction.html"> pt::pegrammar </a> · <a href="tcllib/files/modules/pt/pt_pgen.html"> pt::pgen </a> · <a href="tcllib/files/modules/pt/pt_rdengine.html"> pt::rde </a> · <a href="tcllib/files/modules/pt/pt_tclparam_config_nx.html"> pt::tclparam::configuration::nx </a> · <a href="tcllib/files/modules/pt/pt_tclparam_config_snit.html"> pt::tclparam::configuration::snit </a> · <a href="tcllib/files/modules/pt/pt_tclparam_config_tcloo.html"> pt::tclparam::configuration::tcloo </a> · <a href="tcllib/files/modules/pt/pt_util.html"> pt::util </a> · <a href="tcllib/files/modules/pt/pt_to_api.html"> pt_export_api </a> · <a href="tcllib/files/modules/pt/pt_from_api.html"> pt_import_api </a> · <a href="tcllib/files/modules/pt/pt_introduction.html"> pt_introduction </a> · <a href="tcllib/files/modules/pt/pt_parse_peg.html"> pt_parse_peg </a> · <a href="tcllib/files/modules/pt/pt_parser_api.html"> pt_parser_api </a> · <a href="tcllib/files/modules/pt/pt_peg_op.html"> pt_peg_op </a> </td></tr> <tr class="#doctools_idxodd" valign=top> <td class="#doctools_idxleft" width="35%"><a name="reduce"> reduce </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/generator/generator.html"> generator </a> · <a href="tcllib/files/modules/struct/struct_list.html"> struct::list </a> </td></tr> <tr class="#doctools_idxeven" valign=top> <td class="#doctools_idxleft" width="35%"><a name="reference"> reference </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/doctools2idx/idx_container.html"> doctools::idx </a> · <a 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width="65%"> <a href="tcllib/files/modules/dns/tcllib_dns.html"> dns </a> </td></tr> <tr class="#doctools_idxodd" valign=top> <td class="#doctools_idxleft" width="35%"><a name="resource_management"> resource management </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/try/tcllib_try.html"> try </a> </td></tr> <tr class="#doctools_idxeven" valign=top> <td class="#doctools_idxleft" width="35%"><a name="restore"> restore </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/nns/nns_auto.html"> nameserv::auto </a> </td></tr> <tr class="#doctools_idxodd" valign=top> <td class="#doctools_idxleft" width="35%"><a name="return"> return </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/try/tcllib_throw.html"> throw </a> </td></tr> <tr class="#doctools_idxeven" valign=top> <td class="#doctools_idxleft" width="35%"><a name="reverse"> reverse </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/struct/struct_list.html"> struct::list </a> </td></tr> <tr class="#doctools_idxodd" valign=top> <td class="#doctools_idxleft" width="35%"><a name="rfc_821"> rfc 821 </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/mime/mime.html"> mime </a> · <a href="tcllib/files/modules/mime/smtp.html"> smtp </a> · <a href="tcllib/files/modules/smtpd/smtpd.html"> smtpd </a> </td></tr> <tr class="#doctools_idxeven" valign=top> <td class="#doctools_idxleft" width="35%"><a name="rfc_822"> rfc 822 </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/mime/mime.html"> mime </a> · <a href="tcllib/files/modules/pop3d/pop3d_dbox.html"> pop3d::dbox </a> · <a href="tcllib/files/modules/mime/smtp.html"> smtp </a> </td></tr> <tr class="#doctools_idxodd" valign=top> <td class="#doctools_idxleft" width="35%"><a name="rfc_868"> rfc 868 </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/ntp/ntp_time.html"> ntp_time </a> </td></tr> <tr class="#doctools_idxeven" valign=top> <td class="#doctools_idxleft" width="35%"><a name="rfc_959"> rfc 959 </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/ftp/ftp.html"> ftp </a> · <a href="tcllib/files/modules/ftp/ftp_geturl.html"> ftp::geturl </a> · <a href="tcllib/files/modules/ftpd/ftpd.html"> ftpd </a> </td></tr> <tr class="#doctools_idxodd" valign=top> <td class="#doctools_idxleft" width="35%"><a name="rfc_977"> rfc 977 </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/nntp/nntp.html"> nntp </a> </td></tr> <tr class="#doctools_idxeven" valign=top> <td class="#doctools_idxleft" width="35%"><a name="rfc_1034"> rfc 1034 </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/dns/tcllib_dns.html"> dns </a> </td></tr> <tr class="#doctools_idxodd" valign=top> <td class="#doctools_idxleft" width="35%"><a name="rfc_1035"> rfc 1035 </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/dns/tcllib_dns.html"> dns </a> </td></tr> <tr class="#doctools_idxeven" valign=top> <td class="#doctools_idxleft" width="35%"><a name="rfc_1036"> rfc 1036 </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/nntp/nntp.html"> nntp </a> </td></tr> <tr class="#doctools_idxodd" valign=top> <td class="#doctools_idxleft" width="35%"><a name="rfc_1320"> rfc 1320 </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/md4/md4.html"> md4 </a> · <a href="tcllib/files/modules/md5/md5.html"> md5 </a> · <a href="tcllib/files/modules/ripemd/ripemd128.html"> ripemd128 </a> · <a href="tcllib/files/modules/ripemd/ripemd160.html"> ripemd160 </a> </td></tr> <tr class="#doctools_idxeven" valign=top> <td class="#doctools_idxleft" width="35%"><a name="rfc_1321"> rfc 1321 </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/md4/md4.html"> md4 </a> · <a href="tcllib/files/modules/md5/md5.html"> md5 </a> · <a href="tcllib/files/modules/ripemd/ripemd128.html"> ripemd128 </a> · <a href="tcllib/files/modules/ripemd/ripemd160.html"> ripemd160 </a> </td></tr> <tr class="#doctools_idxodd" valign=top> <td class="#doctools_idxleft" width="35%"><a name="rfc_1413"> rfc 1413 </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/ident/ident.html"> ident </a> </td></tr> <tr class="#doctools_idxeven" valign=top> <td class="#doctools_idxleft" width="35%"><a name="rfc_1630"> rfc 1630 </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/uri/uri.html"> uri </a> </td></tr> <tr class="#doctools_idxodd" valign=top> <td class="#doctools_idxleft" width="35%"><a name="rfc_1886"> rfc 1886 </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/dns/tcllib_dns.html"> dns </a> </td></tr> <tr class="#doctools_idxeven" valign=top> <td class="#doctools_idxleft" width="35%"><a name="rfc_1939"> rfc 1939 </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/pop3/pop3.html"> pop3 </a> · <a href="tcllib/files/modules/pop3d/pop3d.html"> pop3d </a> </td></tr> <tr class="#doctools_idxodd" valign=top> <td class="#doctools_idxleft" width="35%"><a name="rfc_2030"> rfc 2030 </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/ntp/ntp_time.html"> ntp_time </a> </td></tr> <tr class="#doctools_idxeven" valign=top> <td class="#doctools_idxleft" width="35%"><a name="rfc_2045"> rfc 2045 </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/mime/mime.html"> mime </a> </td></tr> <tr class="#doctools_idxodd" valign=top> <td class="#doctools_idxleft" width="35%"><a name="rfc_2046"> rfc 2046 </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/mime/mime.html"> mime </a> </td></tr> <tr class="#doctools_idxeven" valign=top> <td class="#doctools_idxleft" width="35%"><a name="rfc_2049"> rfc 2049 </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/mime/mime.html"> mime </a> </td></tr> <tr class="#doctools_idxodd" valign=top> <td class="#doctools_idxleft" width="35%"><a name="rfc_2104"> rfc 2104 </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/md4/md4.html"> md4 </a> · <a href="tcllib/files/modules/md5/md5.html"> md5 </a> · <a href="tcllib/files/modules/ripemd/ripemd128.html"> ripemd128 </a> · <a href="tcllib/files/modules/ripemd/ripemd160.html"> ripemd160 </a> · <a href="tcllib/files/modules/sha1/sha1.html"> sha1 </a> · <a href="tcllib/files/modules/sha1/sha256.html"> sha256 </a> </td></tr> <tr class="#doctools_idxeven" valign=top> <td class="#doctools_idxleft" width="35%"><a name="rfc_2141"> rfc 2141 </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/uri/urn-scheme.html"> uri_urn </a> </td></tr> <tr class="#doctools_idxodd" valign=top> <td class="#doctools_idxleft" width="35%"><a name="rfc_2251"> rfc 2251 </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/ldap/ldap.html"> ldap </a> · <a href="tcllib/files/modules/ldap/ldapx.html"> ldapx </a> </td></tr> <tr class="#doctools_idxeven" valign=top> <td class="#doctools_idxleft" width="35%"><a name="rfc_2255"> rfc 2255 </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/uri/uri.html"> uri </a> </td></tr> <tr class="#doctools_idxodd" valign=top> <td class="#doctools_idxleft" width="35%"><a name="rfc_2289"> rfc 2289 </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/otp/otp.html"> otp </a> </td></tr> <tr class="#doctools_idxeven" valign=top> <td class="#doctools_idxleft" width="35%"><a name="rfc_2396"> rfc 2396 </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/uri/uri.html"> uri </a> </td></tr> <tr class="#doctools_idxodd" valign=top> <td class="#doctools_idxleft" width="35%"><a name="rfc_2554"> rfc 2554 </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/mime/smtp.html"> smtp </a> </td></tr> <tr class="#doctools_idxeven" valign=top> <td class="#doctools_idxleft" width="35%"><a name="rfc_2718"> RFC 2718 </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/oauth/oauth.html"> oauth </a> </td></tr> <tr class="#doctools_idxodd" valign=top> <td class="#doctools_idxleft" width="35%"><a name="rfc_2821"> rfc 2821 </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/mime/smtp.html"> smtp </a> · <a href="tcllib/files/modules/smtpd/smtpd.html"> smtpd </a> </td></tr> <tr class="#doctools_idxeven" valign=top> <td class="#doctools_idxleft" width="35%"><a name="rfc_2849"> rfc 2849 </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/ldap/ldapx.html"> ldapx </a> </td></tr> <tr class="#doctools_idxodd" valign=top> <td class="#doctools_idxleft" width="35%"><a name="rfc_3207"> rfc 3207 </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/mime/smtp.html"> smtp </a> </td></tr> <tr class="#doctools_idxeven" valign=top> <td class="#doctools_idxleft" width="35%"><a name="rfc_3513"> rfc 3513 </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/dns/tcllib_ip.html"> tcllib_ip </a> </td></tr> <tr class="#doctools_idxodd" valign=top> <td class="#doctools_idxleft" width="35%"><a name="rfc_3986"> rfc 3986 </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/uri/uri.html"> uri </a> </td></tr> <tr class="#doctools_idxeven" valign=top> <td class="#doctools_idxleft" width="35%"><a name="rfc_4511"> rfc 4511 </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/ldap/ldap.html"> ldap </a> </td></tr> <tr class="#doctools_idxodd" valign=top> <td class="#doctools_idxleft" width="35%"><a name="rfc_5849"> RFC 5849 </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/oauth/oauth.html"> oauth </a> </td></tr> <tr class="#doctools_idxeven" valign=top> <td class="#doctools_idxleft" width="35%"><a name="rfc_6455"> rfc 6455 </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/websocket/websocket.html"> websocket </a> </td></tr> <tr class="#doctools_idxodd" valign=top> <td class="#doctools_idxleft" width="35%"><a name="rfc_7858"> rfc 7858 </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/dns/tcllib_dns.html"> dns </a> </td></tr> <tr class="#doctools_idxeven" valign=top> <td class="#doctools_idxleft" width="35%"><a name="rfc3501"> rfc3501 </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/imap4/imap4.html"> imap4 </a> </td></tr> <tr class="#doctools_idxodd" valign=top> <td class="#doctools_idxleft" width="35%"><a name="rfc3548"> rfc3548 </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/base32/base32.html"> base32 </a> · <a href="tcllib/files/modules/base32/base32hex.html"> base32::hex </a> </td></tr> <tr class="#doctools_idxeven" valign=top> <td class="#doctools_idxleft" width="35%"><a name="right_outer_join"> right outer join </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/struct/struct_list.html"> struct::list </a> </td></tr> <tr class="#doctools_idxodd" valign=top> <td class="#doctools_idxleft" width="35%"><a name="ripemd"> RIPEMD </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/ripemd/ripemd128.html"> ripemd128 </a> · <a href="tcllib/files/modules/ripemd/ripemd160.html"> ripemd160 </a> </td></tr> <tr class="#doctools_idxeven" valign=top> <td class="#doctools_idxleft" width="35%"><a name="roman_numeral"> roman numeral </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/math/roman.html"> math::roman </a> </td></tr> <tr class="#doctools_idxodd" valign=top> <td class="#doctools_idxleft" width="35%"><a name="roots"> roots </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/math/calculus.html"> math::calculus </a> </td></tr> <tr class="#doctools_idxeven" valign=top> <td class="#doctools_idxleft" width="35%"><a name="rot"> rot </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/virtchannel_transform/rot.html"> tcl::transform::rot </a> </td></tr> <tr class="#doctools_idxodd" valign=top> <td class="#doctools_idxleft" width="35%"><a name="rot13"> rot13 </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/virtchannel_transform/rot.html"> tcl::transform::rot </a> </td></tr> <tr class="#doctools_idxeven" valign=top> <td class="#doctools_idxleft" width="35%"><a name="rounding"> rounding </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/math/fuzzy.html"> math::fuzzy </a> </td></tr> <tr class="#doctools_idxodd" valign=top> <td class="#doctools_idxleft" width="35%"><a name="rows"> rows </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/term/ansi_ctrlu.html"> term::ansi::ctrl::unix </a> </td></tr> <tr class="#doctools_idxeven" valign=top> <td class="#doctools_idxleft" width="35%"><a name="rpc"> rpc </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/comm/comm.html"> comm </a> · <a href="tcllib/files/modules/comm/comm_wire.html"> comm_wire </a> </td></tr> <tr class="#doctools_idxodd" valign=top> <td class="#doctools_idxleft" width="35%"><a name="rsa"> rsa </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/pki/pki.html"> pki </a> </td></tr> <tr class="#doctools_idxeven" valign=top> <td class="#doctools_idxleft" width="35%"><a name="running"> running </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/grammar_fa/dexec.html"> grammar::fa::dexec </a> </td></tr> <tr class="#doctools_idxheader"><th colspan="2"> <a name="cS">Keywords: S</a> </th></tr> <tr class="#doctools_idxodd" valign=top> <td class="#doctools_idxleft" width="35%"><a name="s3"> s3 </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/amazon-s3/S3.html"> S3 </a> </td></tr> <tr class="#doctools_idxeven" valign=top> <td class="#doctools_idxleft" width="35%"><a name="sasl"> SASL </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/sasl/sasl.html"> SASL </a> · <a href="tcllib/files/modules/sasl/ntlm.html"> SASL::NTLM </a> · <a href="tcllib/files/modules/sasl/scram.html"> SASL::SCRAM </a> · <a href="tcllib/files/modules/sasl/gtoken.html"> SASL::XGoogleToken </a> </td></tr> <tr class="#doctools_idxodd" valign=top> <td class="#doctools_idxleft" width="35%"><a name="scanl"> scanl </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/generator/generator.html"> generator </a> </td></tr> <tr class="#doctools_idxeven" valign=top> <td class="#doctools_idxleft" width="35%"><a name="sccs"> SCCS </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/rcs/rcs.html"> rcs </a> </td></tr> <tr class="#doctools_idxodd" valign=top> <td class="#doctools_idxleft" width="35%"><a name="scram"> SCRAM </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/sasl/scram.html"> SASL::SCRAM </a> </td></tr> <tr class="#doctools_idxeven" valign=top> <td class="#doctools_idxleft" width="35%"><a name="secure"> secure </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/comm/comm.html"> comm </a> · <a href="tcllib/files/modules/pop3/pop3.html"> pop3 </a> · <a href="tcllib/files/modules/pop3d/pop3d.html"> pop3d </a> · <a href="tcllib/files/modules/transfer/connect.html"> transfer::connect </a> · <a href="tcllib/files/modules/transfer/receiver.html"> transfer::receiver </a> · <a href="tcllib/files/modules/transfer/transmitter.html"> transfer::transmitter </a> </td></tr> <tr class="#doctools_idxodd" valign=top> <td class="#doctools_idxleft" width="35%"><a name="security"> security </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/aes/aes.html"> aes </a> · <a href="tcllib/files/modules/blowfish/blowfish.html"> blowfish </a> · <a href="tcllib/files/modules/crc/cksum.html"> cksum </a> · <a href="tcllib/files/modules/crc/crc16.html"> crc16 </a> · <a href="tcllib/files/modules/crc/crc32.html"> crc32 </a> · <a href="tcllib/files/modules/des/des.html"> des </a> · <a href="tcllib/files/modules/md4/md4.html"> md4 </a> · <a href="tcllib/files/modules/md5/md5.html"> md5 </a> · <a href="tcllib/files/modules/md5crypt/md5crypt.html"> md5crypt </a> · <a href="tcllib/files/modules/otp/otp.html"> otp </a> · <a href="tcllib/files/modules/pki/pki.html"> pki </a> · <a href="tcllib/files/modules/rc4/rc4.html"> rc4 </a> · <a href="tcllib/files/modules/ripemd/ripemd128.html"> ripemd128 </a> · <a href="tcllib/files/modules/ripemd/ripemd160.html"> ripemd160 </a> · <a href="tcllib/files/modules/sha1/sha1.html"> sha1 </a> · <a href="tcllib/files/modules/sha1/sha256.html"> sha256 </a> · <a href="tcllib/files/modules/crc/sum.html"> sum </a> · <a href="tcllib/files/modules/des/tcldes.html"> tclDES </a> · <a href="tcllib/files/modules/des/tcldesjr.html"> tclDESjr </a> </td></tr> <tr class="#doctools_idxeven" valign=top> <td class="#doctools_idxleft" width="35%"><a name="seed"> seed </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/virtchannel_base/randseed.html"> tcl::randomseed </a> </td></tr> <tr class="#doctools_idxodd" valign=top> <td class="#doctools_idxleft" width="35%"><a name="selectionbox"> selectionbox </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/javascript/javascript.html"> javascript </a> </td></tr> <tr class="#doctools_idxeven" valign=top> <td class="#doctools_idxleft" width="35%"><a name="semantic_markup"> semantic markup </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/doctools/docidx_intro.html"> docidx_intro </a> · <a href="tcllib/files/modules/doctools/docidx_lang_cmdref.html"> docidx_lang_cmdref </a> · <a href="tcllib/files/modules/doctools/docidx_lang_faq.html"> docidx_lang_faq </a> · <a href="tcllib/files/modules/doctools/docidx_lang_intro.html"> docidx_lang_intro </a> · <a href="tcllib/files/modules/doctools/docidx_lang_syntax.html"> docidx_lang_syntax </a> · <a href="tcllib/files/modules/doctools/docidx_plugin_apiref.html"> docidx_plugin_apiref </a> · <a href="tcllib/files/modules/doctools/doctoc_intro.html"> doctoc_intro </a> · <a href="tcllib/files/modules/doctools/doctoc_lang_cmdref.html"> doctoc_lang_cmdref </a> · <a href="tcllib/files/modules/doctools/doctoc_lang_faq.html"> doctoc_lang_faq </a> · <a href="tcllib/files/modules/doctools/doctoc_lang_intro.html"> doctoc_lang_intro </a> · <a href="tcllib/files/modules/doctools/doctoc_lang_syntax.html"> doctoc_lang_syntax </a> · <a href="tcllib/files/modules/doctools/doctoc_plugin_apiref.html"> doctoc_plugin_apiref </a> · <a href="tcllib/files/modules/doctools2idx/idx_introduction.html"> doctools2idx_introduction </a> · <a href="tcllib/files/modules/doctools2toc/toc_introduction.html"> doctools2toc_introduction </a> · <a href="tcllib/files/modules/doctools/doctools_intro.html"> doctools_intro </a> · <a href="tcllib/files/modules/doctools/doctools_lang_cmdref.html"> doctools_lang_cmdref </a> · <a href="tcllib/files/modules/doctools/doctools_lang_faq.html"> doctools_lang_faq </a> · <a href="tcllib/files/modules/doctools/doctools_lang_intro.html"> doctools_lang_intro </a> · <a href="tcllib/files/modules/doctools/doctools_lang_syntax.html"> doctools_lang_syntax </a> · <a href="tcllib/files/modules/doctools/doctools_plugin_apiref.html"> doctools_plugin_apiref </a> </td></tr> <tr class="#doctools_idxodd" valign=top> <td class="#doctools_idxleft" width="35%"><a name="send"> send </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/comm/comm.html"> comm </a> </td></tr> <tr class="#doctools_idxeven" valign=top> <td class="#doctools_idxleft" width="35%"><a name="serialization"> serialization </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/bee/bee.html"> bee </a> · <a href="tcllib/files/modules/doctools2idx/export_docidx.html"> doctools::idx::export::docidx </a> · <a href="tcllib/files/modules/doctools2idx/idx_export_html.html"> doctools::idx::export::html </a> · <a href="tcllib/files/modules/doctools2idx/idx_export_json.html"> doctools::idx::export::json </a> · <a href="tcllib/files/modules/doctools2idx/idx_export_nroff.html"> doctools::idx::export::nroff </a> · <a href="tcllib/files/modules/doctools2idx/idx_export_text.html"> doctools::idx::export::text </a> · <a href="tcllib/files/modules/doctools2idx/idx_export_wiki.html"> doctools::idx::export::wiki </a> · <a href="tcllib/files/modules/doctools2idx/idx_structure.html"> doctools::idx::structure </a> · <a href="tcllib/files/modules/doctools2toc/export_doctoc.html"> doctools::toc::export::doctoc </a> · <a href="tcllib/files/modules/doctools2toc/toc_export_html.html"> doctools::toc::export::html </a> · <a href="tcllib/files/modules/doctools2toc/toc_export_json.html"> doctools::toc::export::json </a> · <a href="tcllib/files/modules/doctools2toc/toc_export_nroff.html"> doctools::toc::export::nroff </a> · <a href="tcllib/files/modules/doctools2toc/toc_export_text.html"> doctools::toc::export::text </a> · <a href="tcllib/files/modules/doctools2toc/toc_export_wiki.html"> doctools::toc::export::wiki </a> · <a href="tcllib/files/modules/doctools2toc/toc_structure.html"> doctools::toc::structure </a> · <a href="tcllib/files/modules/pt/pt_peg_export_container.html"> pt::peg::export::container </a> · <a href="tcllib/files/modules/pt/pt_peg_export_json.html"> pt::peg::export::json </a> · <a href="tcllib/files/modules/pt/pt_peg_export_peg.html"> pt::peg::export::peg </a> · <a href="tcllib/files/modules/pt/pt_peg_from_json.html"> pt::peg::from::json </a> · <a href="tcllib/files/modules/pt/pt_peg_from_peg.html"> pt::peg::from::peg </a> · <a href="tcllib/files/modules/pt/pt_peg_import_json.html"> pt::peg::import::json </a> · <a href="tcllib/files/modules/pt/pt_peg_import_peg.html"> pt::peg::import::peg </a> · <a href="tcllib/files/modules/pt/pt_peg_to_container.html"> pt::peg::to::container </a> · <a href="tcllib/files/modules/pt/pt_peg_to_cparam.html"> pt::peg::to::cparam </a> · <a href="tcllib/files/modules/pt/pt_peg_to_json.html"> pt::peg::to::json </a> · <a href="tcllib/files/modules/pt/pt_peg_to_param.html"> pt::peg::to::param </a> · <a href="tcllib/files/modules/pt/pt_peg_to_peg.html"> pt::peg::to::peg </a> · <a href="tcllib/files/modules/pt/pt_peg_to_tclparam.html"> pt::peg::to::tclparam </a> · <a href="tcllib/files/modules/struct/graph.html"> struct::graph </a> · <a href="tcllib/files/modules/struct/struct_tree.html"> struct::tree </a> </td></tr> <tr class="#doctools_idxodd" valign=top> <td class="#doctools_idxleft" width="35%"><a name="server"> server </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/map/map_geocode_nominatim.html"> map::geocode::nominatim </a> · <a href="tcllib/files/modules/map/map_slippy_fetcher.html"> map::slippy::fetcher </a> · <a href="tcllib/files/modules/nns/nns_common.html"> nameserv::common </a> · <a href="tcllib/files/modules/nns/nns_server.html"> nameserv::server </a> · <a href="tcllib/files/modules/nns/nns_intro.html"> nns_intro </a> · <a href="tcllib/files/apps/nnsd.html"> nnsd </a> · <a href="tcllib/files/modules/udpcluster/udpcluster.html"> udpcluster </a> </td></tr> <tr class="#doctools_idxeven" valign=top> <td class="#doctools_idxleft" width="35%"><a name="service"> service </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/log/logger.html"> logger </a> </td></tr> <tr class="#doctools_idxodd" valign=top> <td class="#doctools_idxleft" width="35%"><a name="services"> services </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/ftpd/ftpd.html"> ftpd </a> · <a href="tcllib/files/modules/smtpd/smtpd.html"> smtpd </a> · <a href="tcllib/files/modules/httpd/httpd.html"> tool </a> </td></tr> <tr class="#doctools_idxeven" valign=top> <td class="#doctools_idxleft" width="35%"><a name="set"> set </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/struct/queue.html"> struct::queue </a> · <a href="tcllib/files/modules/struct/struct_set.html"> struct::set </a> </td></tr> <tr class="#doctools_idxodd" valign=top> <td class="#doctools_idxleft" width="35%"><a name="sha1"> sha1 </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/sha1/sha1.html"> sha1 </a> </td></tr> <tr class="#doctools_idxeven" valign=top> <td class="#doctools_idxleft" width="35%"><a name="sha256"> sha256 </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/sha1/sha256.html"> sha256 </a> </td></tr> <tr class="#doctools_idxodd" valign=top> <td class="#doctools_idxleft" width="35%"><a name="shell"> shell </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/string/token_shell.html"> string::token::shell </a> </td></tr> <tr class="#doctools_idxeven" valign=top> <td class="#doctools_idxleft" width="35%"><a name="shortest_path"> shortest path </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/struct/graphops.html"> struct::graph::op </a> </td></tr> <tr class="#doctools_idxodd" valign=top> <td class="#doctools_idxleft" width="35%"><a name="shuffle"> shuffle </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/struct/struct_list.html"> struct::list </a> </td></tr> <tr class="#doctools_idxeven" valign=top> <td class="#doctools_idxleft" width="35%"><a name="simulated_annealing"> simulated annealing </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/simulation/annealing.html"> simulation::annealing </a> </td></tr> <tr class="#doctools_idxodd" valign=top> <td class="#doctools_idxleft" width="35%"><a name="simulation"> simulation </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/simulation/simulation_random.html"> simulation::random </a> </td></tr> <tr class="#doctools_idxeven" valign=top> <td class="#doctools_idxleft" width="35%"><a name="singleton"> singleton </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/tool/meta.html"> oo::util </a> · <a href="tcllib/files/modules/ooutil/ooutil.html"> oo::util </a> </td></tr> <tr class="#doctools_idxodd" valign=top> <td class="#doctools_idxleft" width="35%"><a name="size_limit"> size limit </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/virtchannel_transform/limitsize.html"> tcl::transform::limitsize </a> </td></tr> <tr class="#doctools_idxeven" valign=top> <td class="#doctools_idxleft" width="35%"><a name="skiplist"> skiplist </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/struct/queue.html"> struct::queue </a> · <a href="tcllib/files/modules/struct/skiplist.html"> struct::skiplist </a> </td></tr> <tr class="#doctools_idxodd" valign=top> <td class="#doctools_idxleft" width="35%"><a name="slippy"> slippy </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/map/map_slippy.html"> map::slippy </a> · <a href="tcllib/files/modules/map/map_slippy_cache.html"> map::slippy::cache </a> · <a 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href="tcllib/files/modules/soundex/soundex.html"> soundex </a> </td></tr> <tr class="#doctools_idxodd" valign=top> <td class="#doctools_idxleft" width="35%"><a name="source"> source </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/docstrip/docstrip.html"> docstrip </a> · <a href="tcllib/files/modules/docstrip/docstrip_util.html"> docstrip_util </a> · <a href="tcllib/files/apps/tcldocstrip.html"> tcldocstrip </a> </td></tr> <tr class="#doctools_idxeven" valign=top> <td class="#doctools_idxleft" width="35%"><a name="spacing"> spacing </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/virtchannel_transform/spacer.html"> tcl::transform::spacer </a> </td></tr> <tr class="#doctools_idxodd" valign=top> <td class="#doctools_idxleft" width="35%"><a name="spatial_interpolation"> spatial interpolation </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/math/interpolate.html"> math::interpolate </a> </td></tr> <tr class="#doctools_idxeven" valign=top> <td class="#doctools_idxleft" width="35%"><a name="special_functions"> special functions </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/math/special.html"> math::special </a> </td></tr> <tr class="#doctools_idxodd" valign=top> <td class="#doctools_idxleft" width="35%"><a name="specification"> specification </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/bench/bench_lang_spec.html"> bench_lang_spec </a> </td></tr> <tr class="#doctools_idxeven" valign=top> <td class="#doctools_idxleft" width="35%"><a name="speed"> speed </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/profiler/profiler.html"> profiler </a> </td></tr> <tr class="#doctools_idxodd" valign=top> <td class="#doctools_idxleft" width="35%"><a name="split"> split </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/textutil/textutil_split.html"> textutil::split </a> </td></tr> <tr class="#doctools_idxeven" valign=top> <td class="#doctools_idxleft" width="35%"><a name="squared_graph"> squared graph </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/struct/graphops.html"> struct::graph::op </a> </td></tr> <tr class="#doctools_idxodd" valign=top> <td class="#doctools_idxleft" width="35%"><a name="ssl"> ssl </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/comm/comm.html"> comm </a> · <a href="tcllib/files/modules/imap4/imap4.html"> imap4 </a> · <a href="tcllib/files/modules/pop3/pop3.html"> pop3 </a> · <a href="tcllib/files/modules/pop3d/pop3d.html"> pop3d </a> · <a href="tcllib/files/modules/transfer/connect.html"> transfer::connect </a> · <a href="tcllib/files/modules/transfer/receiver.html"> transfer::receiver </a> · <a href="tcllib/files/modules/transfer/transmitter.html"> transfer::transmitter </a> </td></tr> <tr class="#doctools_idxeven" valign=top> <td class="#doctools_idxleft" width="35%"><a name="stack"> stack </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/struct/queue.html"> struct::queue </a> </td></tr> <tr class="#doctools_idxodd" valign=top> <td class="#doctools_idxleft" width="35%"><a name="standard_io"> standard io </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/virtchannel_base/std.html"> tcl::chan::std </a> </td></tr> <tr class="#doctools_idxeven" valign=top> <td class="#doctools_idxleft" width="35%"><a name="state"> state </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/grammar_fa/fa.html"> grammar::fa </a> · <a href="tcllib/files/modules/grammar_fa/dacceptor.html"> grammar::fa::dacceptor </a> · <a href="tcllib/files/modules/grammar_fa/dexec.html"> grammar::fa::dexec </a> · <a href="tcllib/files/modules/grammar_fa/faop.html"> grammar::fa::op </a> · <a 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</a> · <a href="tcllib/files/modules/pt/pt_peg_export.html"> pt::peg::export </a> · <a href="tcllib/files/modules/pt/pt_peg_export_container.html"> pt::peg::export::container </a> · <a href="tcllib/files/modules/pt/pt_peg_export_json.html"> pt::peg::export::json </a> · <a href="tcllib/files/modules/pt/pt_peg_export_peg.html"> pt::peg::export::peg </a> · <a href="tcllib/files/modules/pt/pt_peg_from_container.html"> pt::peg::from::container </a> · <a href="tcllib/files/modules/pt/pt_peg_from_json.html"> pt::peg::from::json </a> · <a href="tcllib/files/modules/pt/pt_peg_from_peg.html"> pt::peg::from::peg </a> · <a href="tcllib/files/modules/pt/pt_peg_import.html"> pt::peg::import </a> · <a href="tcllib/files/modules/pt/pt_peg_import_container.html"> pt::peg::import::container </a> · <a href="tcllib/files/modules/pt/pt_peg_import_json.html"> pt::peg::import::json </a> · <a href="tcllib/files/modules/pt/pt_peg_import_peg.html"> pt::peg::import::peg </a> · <a 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class="#doctools_idxodd" valign=top> <td class="#doctools_idxleft" width="35%"><a name="stdout"> stdout </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/virtchannel_base/std.html"> tcl::chan::std </a> </td></tr> <tr class="#doctools_idxeven" valign=top> <td class="#doctools_idxleft" width="35%"><a name="stochastic_modelling"> stochastic modelling </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/simulation/montecarlo.html"> simulation::montecarlo </a> </td></tr> <tr class="#doctools_idxodd" valign=top> <td class="#doctools_idxleft" width="35%"><a name="stream_cipher"> stream cipher </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/rc4/rc4.html"> rc4 </a> </td></tr> <tr class="#doctools_idxeven" valign=top> <td class="#doctools_idxleft" width="35%"><a name="stream_copy"> stream copy </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/virtchannel_transform/observe.html"> tcl::transform::observe </a> </td></tr> <tr class="#doctools_idxodd" valign=top> <td class="#doctools_idxleft" width="35%"><a name="string"> string </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/string/token.html"> string::token </a> · <a href="tcllib/files/modules/string/token_shell.html"> string::token::shell </a> · <a href="tcllib/files/modules/textutil/textutil.html"> textutil </a> · <a href="tcllib/files/modules/textutil/adjust.html"> textutil::adjust </a> · <a href="tcllib/files/modules/textutil/expander.html"> textutil::expander </a> · <a href="tcllib/files/modules/textutil/repeat.html"> textutil::repeat </a> · <a href="tcllib/files/modules/textutil/textutil_split.html"> textutil::split </a> · <a href="tcllib/files/modules/textutil/textutil_string.html"> textutil::string </a> · <a href="tcllib/files/modules/textutil/tabify.html"> textutil::tabify </a> · <a 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href="tcllib/files/modules/struct/pool.html"> struct::pool </a> · <a href="tcllib/files/modules/struct/record.html"> struct::record </a> </td></tr> <tr class="#doctools_idxodd" valign=top> <td class="#doctools_idxleft" width="35%"><a name="structure"> structure </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/control/control.html"> control </a> </td></tr> <tr class="#doctools_idxeven" valign=top> <td class="#doctools_idxleft" width="35%"><a name="structured_queries"> structured queries </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/treeql/treeql.html"> treeql </a> </td></tr> <tr class="#doctools_idxodd" valign=top> <td class="#doctools_idxleft" width="35%"><a name="style"> style </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/doctools2base/html_cssdefaults.html"> doctools::html::cssdefaults </a> </td></tr> <tr class="#doctools_idxeven" valign=top> <td class="#doctools_idxleft" width="35%"><a name="subcommand"> subcommand </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/tepam/tepam_introduction.html"> tepam </a> · <a href="tcllib/files/modules/tepam/tepam_procedure.html"> tepam::procedure </a> </td></tr> <tr class="#doctools_idxodd" valign=top> <td class="#doctools_idxleft" width="35%"><a name="subgraph"> subgraph </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/struct/graph.html"> struct::graph </a> · <a href="tcllib/files/modules/struct/graphops.html"> struct::graph::op </a> </td></tr> <tr class="#doctools_idxeven" valign=top> <td class="#doctools_idxleft" width="35%"><a name="subject"> subject </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/hook/hook.html"> hook </a> </td></tr> <tr class="#doctools_idxodd" valign=top> <td class="#doctools_idxleft" width="35%"><a name="submitbutton"> submitbutton </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/javascript/javascript.html"> javascript </a> </td></tr> <tr class="#doctools_idxeven" valign=top> <td class="#doctools_idxleft" width="35%"><a name="subscriber"> subscriber </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/hook/hook.html"> hook </a> </td></tr> <tr class="#doctools_idxodd" valign=top> <td class="#doctools_idxleft" width="35%"><a name="subsequence"> subsequence </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/struct/struct_list.html"> struct::list </a> </td></tr> <tr class="#doctools_idxeven" valign=top> <td class="#doctools_idxleft" width="35%"><a name="subst"> subst </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/doctools2base/tcl_parse.html"> doctools::tcl::parse </a> </td></tr> <tr class="#doctools_idxodd" valign=top> <td class="#doctools_idxleft" width="35%"><a name="sum"> sum </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/crc/sum.html"> sum </a> </td></tr> <tr class="#doctools_idxeven" valign=top> <td class="#doctools_idxleft" width="35%"><a name="swapping"> swapping </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/struct/struct_list.html"> struct::list </a> </td></tr> <tr class="#doctools_idxodd" valign=top> <td class="#doctools_idxleft" width="35%"><a name="symmetric_difference"> symmetric difference </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/struct/struct_set.html"> struct::set </a> </td></tr> <tr class="#doctools_idxeven" valign=top> <td class="#doctools_idxleft" width="35%"><a name="synchronous"> synchronous </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/cache/async.html"> cache::async </a> </td></tr> <tr class="#doctools_idxodd" valign=top> <td class="#doctools_idxleft" width="35%"><a name="syntax_tree"> syntax tree </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/grammar_me/me_util.html"> grammar::me::util </a> </td></tr> <tr class="#doctools_idxheader"><th colspan="2"> <a name="cT">Keywords: T</a> </th></tr> <tr class="#doctools_idxeven" valign=top> <td class="#doctools_idxleft" width="35%"><a name="table"> table </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/doctools2toc/toc_container.html"> doctools::toc </a> · <a href="tcllib/files/modules/doctools2toc/toc_export.html"> doctools::toc::export </a> · <a href="tcllib/files/modules/doctools2toc/toc_import.html"> doctools::toc::import </a> · <a href="tcllib/files/modules/html/html.html"> html </a> · <a href="tcllib/files/modules/report/report.html"> report </a> </td></tr> <tr class="#doctools_idxodd" valign=top> <td class="#doctools_idxleft" width="35%"><a name="table_of_contents"> table of contents </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/doctools/doctoc_intro.html"> doctoc_intro </a> · <a href="tcllib/files/modules/doctools/doctoc_plugin_apiref.html"> doctoc_plugin_apiref </a> · <a href="tcllib/files/modules/doctools2toc/toc_introduction.html"> doctools2toc_introduction </a> · <a href="tcllib/files/modules/doctools2toc/toc_container.html"> doctools::toc </a> · <a href="tcllib/files/modules/doctools/doctoc.html"> doctools::toc </a> · <a href="tcllib/files/modules/doctools2toc/toc_export.html"> doctools::toc::export </a> · <a href="tcllib/files/modules/doctools2toc/export_doctoc.html"> doctools::toc::export::doctoc </a> · <a href="tcllib/files/modules/doctools2toc/toc_export_html.html"> doctools::toc::export::html </a> · <a href="tcllib/files/modules/doctools2toc/toc_export_json.html"> doctools::toc::export::json </a> · <a href="tcllib/files/modules/doctools2toc/toc_export_nroff.html"> doctools::toc::export::nroff </a> · <a href="tcllib/files/modules/doctools2toc/toc_export_text.html"> doctools::toc::export::text </a> · <a href="tcllib/files/modules/doctools2toc/toc_export_wiki.html"> doctools::toc::export::wiki </a> · <a href="tcllib/files/modules/doctools2toc/toc_import.html"> doctools::toc::import </a> · <a href="tcllib/files/modules/doctools2toc/import_doctoc.html"> doctools::toc::import::doctoc </a> · <a href="tcllib/files/modules/doctools2toc/toc_import_json.html"> doctools::toc::import::json </a> </td></tr> <tr class="#doctools_idxeven" valign=top> <td class="#doctools_idxleft" width="35%"><a name="tabstops"> tabstops </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/textutil/tabify.html"> textutil::tabify </a> </td></tr> <tr class="#doctools_idxodd" valign=top> <td class="#doctools_idxleft" width="35%"><a name="tallying"> tallying </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/counter/counter.html"> counter </a> </td></tr> <tr class="#doctools_idxeven" valign=top> <td class="#doctools_idxleft" width="35%"><a name="tape_archive"> tape archive </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/tar/tar.html"> tar </a> </td></tr> <tr class="#doctools_idxodd" valign=top> <td class="#doctools_idxleft" width="35%"><a name="tar"> tar </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/tar/tar.html"> tar </a> </td></tr> <tr class="#doctools_idxeven" valign=top> <td class="#doctools_idxleft" width="35%"><a name="tcl"> tcl </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/math/bigfloat.html"> math::bigfloat </a> · <a href="tcllib/files/modules/math/bignum.html"> math::bignum </a> · <a href="tcllib/files/modules/math/decimal.html"> math::decimal </a> · <a href="tcllib/files/modules/math/pca.html"> math::PCA </a> </td></tr> <tr class="#doctools_idxodd" valign=top> <td class="#doctools_idxleft" width="35%"><a name="tcl_module"> Tcl module </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/docstrip/docstrip_util.html"> docstrip_util </a> </td></tr> <tr class="#doctools_idxeven" valign=top> <td class="#doctools_idxleft" width="35%"><a name="tcl_syntax"> Tcl syntax </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/doctools2base/tcl_parse.html"> doctools::tcl::parse </a> </td></tr> <tr class="#doctools_idxodd" valign=top> <td class="#doctools_idxleft" width="35%"><a name="tcler_s_wiki"> tcler's wiki </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/doctools2idx/idx_container.html"> doctools::idx </a> · <a href="tcllib/files/modules/doctools2idx/idx_export.html"> doctools::idx::export </a> · <a href="tcllib/files/modules/doctools2toc/toc_container.html"> doctools::toc </a> · <a href="tcllib/files/modules/doctools2toc/toc_export.html"> doctools::toc::export </a> </td></tr> <tr class="#doctools_idxeven" valign=top> <td class="#doctools_idxleft" width="35%"><a name="tcllib"> tcllib </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/csv/csv.html"> csv </a> </td></tr> <tr class="#doctools_idxodd" valign=top> <td class="#doctools_idxleft" width="35%"><a name="tcloo"> TclOO </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/tool/meta.html"> oo::util </a> · <a href="tcllib/files/modules/ooutil/ooutil.html"> oo::util </a> · <a href="tcllib/files/modules/oometa/oometa.html"> oometa </a> · <a href="tcllib/files/modules/httpd/httpd.html"> tool </a> · <a href="tcllib/files/modules/tool/tool.html"> tool </a> · <a href="tcllib/files/modules/tool/tool_dict_ensemble.html"> tool::dict_ensemble </a> </td></tr> <tr class="#doctools_idxeven" valign=top> <td class="#doctools_idxleft" width="35%"><a name="tclparam"> TCLPARAM </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/pt/pt_peg_to_tclparam.html"> pt::peg::to::tclparam </a> </td></tr> <tr class="#doctools_idxodd" valign=top> <td class="#doctools_idxleft" width="35%"><a name="tdpl"> TDPL </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/grammar_peg/peg.html"> grammar::peg </a> · <a href="tcllib/files/modules/grammar_peg/peg_interp.html"> grammar::peg::interp </a> · <a href="tcllib/files/apps/pt.html"> pt </a> · <a href="tcllib/files/modules/pt/pt_astree.html"> pt::ast </a> · <a href="tcllib/files/modules/pt/pt_cparam_config_critcl.html"> pt::cparam::configuration::critcl </a> · <a href="tcllib/files/modules/pt/pt_cparam_config_tea.html"> pt::cparam::configuration::tea </a> · <a href="tcllib/files/modules/pt/pt_json_language.html"> pt::json_language </a> · <a href="tcllib/files/modules/pt/pt_param.html"> pt::param </a> · <a href="tcllib/files/modules/pt/pt_pexpression.html"> pt::pe </a> · <a href="tcllib/files/modules/pt/pt_pexpr_op.html"> pt::pe::op </a> · <a href="tcllib/files/modules/pt/pt_pegrammar.html"> pt::peg </a> · <a href="tcllib/files/modules/pt/pt_peg_container.html"> pt::peg::container </a> · <a href="tcllib/files/modules/pt/pt_peg_container_peg.html"> pt::peg::container::peg </a> · <a href="tcllib/files/modules/pt/pt_peg_export.html"> pt::peg::export </a> · <a href="tcllib/files/modules/pt/pt_peg_export_container.html"> pt::peg::export::container </a> · <a href="tcllib/files/modules/pt/pt_peg_export_json.html"> pt::peg::export::json </a> · <a href="tcllib/files/modules/pt/pt_peg_export_peg.html"> pt::peg::export::peg </a> · <a href="tcllib/files/modules/pt/pt_peg_from_container.html"> pt::peg::from::container </a> · <a href="tcllib/files/modules/pt/pt_peg_from_json.html"> pt::peg::from::json </a> · <a href="tcllib/files/modules/pt/pt_peg_from_peg.html"> pt::peg::from::peg </a> · <a href="tcllib/files/modules/pt/pt_peg_import.html"> pt::peg::import </a> · <a href="tcllib/files/modules/pt/pt_peg_import_container.html"> pt::peg::import::container </a> · <a href="tcllib/files/modules/pt/pt_peg_import_json.html"> pt::peg::import::json </a> · <a href="tcllib/files/modules/pt/pt_peg_import_peg.html"> pt::peg::import::peg </a> · <a href="tcllib/files/modules/pt/pt_peg_interp.html"> pt::peg::interp </a> · <a href="tcllib/files/modules/pt/pt_peg_to_container.html"> pt::peg::to::container </a> · <a href="tcllib/files/modules/pt/pt_peg_to_cparam.html"> pt::peg::to::cparam </a> · <a href="tcllib/files/modules/pt/pt_peg_to_json.html"> pt::peg::to::json </a> · <a href="tcllib/files/modules/pt/pt_peg_to_param.html"> pt::peg::to::param </a> · <a href="tcllib/files/modules/pt/pt_peg_to_peg.html"> pt::peg::to::peg </a> · <a href="tcllib/files/modules/pt/pt_peg_to_tclparam.html"> pt::peg::to::tclparam </a> · <a href="tcllib/files/modules/pt/pt_peg_language.html"> pt::peg_language </a> · <a href="tcllib/files/modules/pt/pt_peg_introduction.html"> pt::pegrammar </a> · <a href="tcllib/files/modules/pt/pt_pgen.html"> pt::pgen </a> · <a href="tcllib/files/modules/pt/pt_rdengine.html"> pt::rde </a> · <a href="tcllib/files/modules/pt/pt_tclparam_config_nx.html"> pt::tclparam::configuration::nx </a> · <a href="tcllib/files/modules/pt/pt_tclparam_config_snit.html"> pt::tclparam::configuration::snit </a> · <a href="tcllib/files/modules/pt/pt_tclparam_config_tcloo.html"> pt::tclparam::configuration::tcloo </a> · <a href="tcllib/files/modules/pt/pt_util.html"> pt::util </a> · <a href="tcllib/files/modules/pt/pt_to_api.html"> pt_export_api </a> · <a href="tcllib/files/modules/pt/pt_from_api.html"> pt_import_api </a> · <a href="tcllib/files/modules/pt/pt_introduction.html"> pt_introduction </a> · <a href="tcllib/files/modules/pt/pt_parse_peg.html"> pt_parse_peg </a> · <a href="tcllib/files/modules/pt/pt_parser_api.html"> pt_parser_api </a> · <a href="tcllib/files/modules/pt/pt_peg_op.html"> pt_peg_op </a> </td></tr> <tr class="#doctools_idxeven" valign=top> <td class="#doctools_idxleft" width="35%"><a name="temp_file"> temp file </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/fileutil/fileutil.html"> fileutil </a> </td></tr> <tr class="#doctools_idxodd" valign=top> <td class="#doctools_idxleft" width="35%"><a name="template_processing"> template processing </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/textutil/expander.html"> textutil::expander </a> </td></tr> <tr class="#doctools_idxeven" valign=top> <td class="#doctools_idxleft" width="35%"><a name="terminal"> terminal </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/term/term.html"> term </a> · <a href="tcllib/files/modules/term/ansi_code.html"> term::ansi::code </a> · <a href="tcllib/files/modules/term/ansi_cattr.html"> term::ansi::code::attr </a> · <a href="tcllib/files/modules/term/ansi_cctrl.html"> term::ansi::code::ctrl </a> · <a href="tcllib/files/modules/term/ansi_cmacros.html"> term::ansi::code::macros </a> · <a href="tcllib/files/modules/term/ansi_ctrlu.html"> term::ansi::ctrl::unix </a> · <a href="tcllib/files/modules/term/ansi_send.html"> term::ansi::send </a> · <a href="tcllib/files/modules/term/imenu.html"> term::interact::menu </a> · <a href="tcllib/files/modules/term/ipager.html"> term::interact::pager </a> · <a href="tcllib/files/modules/term/receive.html"> term::receive </a> · <a href="tcllib/files/modules/term/term_bind.html"> term::receive::bind </a> · <a href="tcllib/files/modules/term/term_send.html"> term::send </a> </td></tr> <tr class="#doctools_idxodd" valign=top> <td class="#doctools_idxleft" width="35%"><a name="test"> test </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/fileutil/fileutil.html"> fileutil </a> </td></tr> <tr class="#doctools_idxeven" valign=top> <td class="#doctools_idxleft" width="35%"><a name="testing"> Testing </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/valtype/valtype_common.html"> valtype::common </a> · <a href="tcllib/files/modules/valtype/cc_amex.html"> valtype::creditcard::amex </a> · <a href="tcllib/files/modules/valtype/cc_discover.html"> valtype::creditcard::discover </a> · <a href="tcllib/files/modules/valtype/cc_mastercard.html"> valtype::creditcard::mastercard </a> · <a href="tcllib/files/modules/valtype/cc_visa.html"> valtype::creditcard::visa </a> · <a href="tcllib/files/modules/valtype/ean13.html"> valtype::gs1::ean13 </a> · <a href="tcllib/files/modules/valtype/iban.html"> valtype::iban </a> · <a href="tcllib/files/modules/valtype/imei.html"> valtype::imei </a> · <a href="tcllib/files/modules/valtype/isbn.html"> valtype::isbn </a> · <a href="tcllib/files/modules/valtype/luhn.html"> valtype::luhn </a> · <a href="tcllib/files/modules/valtype/luhn5.html"> valtype::luhn5 </a> · <a href="tcllib/files/modules/valtype/usnpi.html"> valtype::usnpi </a> · <a href="tcllib/files/modules/valtype/verhoeff.html"> valtype::verhoeff </a> </td></tr> <tr class="#doctools_idxodd" valign=top> <td class="#doctools_idxleft" width="35%"><a name="testing"> testing </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/bench/bench.html"> bench </a> · <a href="tcllib/files/modules/bench/bench_read.html"> bench::in </a> · <a href="tcllib/files/modules/bench/bench_wcsv.html"> bench::out::csv </a> · <a href="tcllib/files/modules/bench/bench_wtext.html"> bench::out::text </a> · <a href="tcllib/files/modules/bench/bench_intro.html"> bench_intro </a> · <a href="tcllib/files/modules/bench/bench_lang_intro.html"> bench_lang_intro </a> · <a href="tcllib/files/modules/bench/bench_lang_spec.html"> bench_lang_spec </a> </td></tr> <tr class="#doctools_idxeven" valign=top> <td class="#doctools_idxleft" width="35%"><a name="tex"> TeX </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/textutil/textutil.html"> textutil </a> · <a href="tcllib/files/modules/textutil/adjust.html"> textutil::adjust </a> </td></tr> <tr class="#doctools_idxodd" valign=top> <td class="#doctools_idxleft" width="35%"><a name="text"> text </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/bench/bench_read.html"> bench::in </a> · <a href="tcllib/files/modules/bench/bench_wtext.html"> bench::out::text </a> · <a href="tcllib/files/modules/doctools2idx/idx_container.html"> doctools::idx </a> · <a href="tcllib/files/modules/doctools2idx/idx_export.html"> doctools::idx::export </a> · <a href="tcllib/files/modules/doctools2toc/toc_container.html"> doctools::toc </a> · <a href="tcllib/files/modules/doctools2toc/toc_export.html"> doctools::toc::export </a> </td></tr> <tr class="#doctools_idxeven" valign=top> <td class="#doctools_idxleft" width="35%"><a name="text_comparison"> text comparison </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/soundex/soundex.html"> soundex </a> </td></tr> <tr class="#doctools_idxodd" valign=top> <td class="#doctools_idxleft" width="35%"><a name="text_conversion"> text conversion </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/rcs/rcs.html"> rcs </a> </td></tr> <tr class="#doctools_idxeven" valign=top> <td class="#doctools_idxleft" width="35%"><a name="text_differences"> text differences </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/rcs/rcs.html"> rcs </a> </td></tr> <tr class="#doctools_idxodd" valign=top> <td class="#doctools_idxleft" width="35%"><a name="text_display"> text display </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/term/imenu.html"> term::interact::menu </a> · <a href="tcllib/files/modules/term/ipager.html"> term::interact::pager </a> </td></tr> <tr class="#doctools_idxeven" valign=top> <td class="#doctools_idxleft" width="35%"><a name="text_expansion"> text expansion </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/textutil/expander.html"> textutil::expander </a> </td></tr> <tr class="#doctools_idxodd" valign=top> <td class="#doctools_idxleft" width="35%"><a name="text_likeness"> text likeness </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/soundex/soundex.html"> soundex </a> </td></tr> <tr class="#doctools_idxeven" valign=top> <td class="#doctools_idxleft" width="35%"><a name="text_processing"> text processing </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/bibtex/bibtex.html"> bibtex </a> · <a href="tcllib/files/modules/yaml/huddle.html"> huddle </a> · <a href="tcllib/files/apps/page.html"> page </a> · <a href="tcllib/files/modules/page/page_intro.html"> page_intro </a> · <a href="tcllib/files/modules/page/page_pluginmgr.html"> page_pluginmgr </a> · <a href="tcllib/files/modules/page/page_util_flow.html"> page_util_flow </a> · <a href="tcllib/files/modules/page/page_util_norm_lemon.html"> page_util_norm_lemon </a> · <a href="tcllib/files/modules/page/page_util_norm_peg.html"> page_util_norm_peg </a> · <a href="tcllib/files/modules/page/page_util_peg.html"> page_util_peg </a> · <a href="tcllib/files/modules/page/page_util_quote.html"> page_util_quote </a> · <a href="tcllib/files/modules/yaml/yaml.html"> yaml </a> </td></tr> <tr class="#doctools_idxodd" valign=top> <td class="#doctools_idxleft" width="35%"><a name="text_widget"> text widget </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/virtchannel_base/textwindow.html"> tcl::chan::textwindow </a> </td></tr> <tr class="#doctools_idxeven" valign=top> <td class="#doctools_idxleft" width="35%"><a name="threads"> threads </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/coroutine/tcllib_coroutine.html"> coroutine </a> · <a href="tcllib/files/modules/coroutine/coro_auto.html"> coroutine::auto </a> </td></tr> <tr class="#doctools_idxodd" valign=top> <td class="#doctools_idxleft" width="35%"><a name="throw"> throw </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/try/tcllib_throw.html"> throw </a> </td></tr> <tr class="#doctools_idxeven" valign=top> <td class="#doctools_idxleft" width="35%"><a name="thumbnail"> thumbnail </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/jpeg/jpeg.html"> jpeg </a> </td></tr> <tr class="#doctools_idxodd" valign=top> <td class="#doctools_idxleft" width="35%"><a name="tie"> tie </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/tie/tie_std.html"> tie </a> · <a href="tcllib/files/modules/tie/tie.html"> tie </a> </td></tr> <tr class="#doctools_idxeven" valign=top> <td class="#doctools_idxleft" width="35%"><a name="tif"> tif </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/tiff/tiff.html"> tiff </a> </td></tr> <tr class="#doctools_idxodd" valign=top> <td class="#doctools_idxleft" width="35%"><a name="tiff"> tiff </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/tiff/tiff.html"> tiff </a> </td></tr> <tr class="#doctools_idxeven" valign=top> <td class="#doctools_idxleft" width="35%"><a name="tile"> tile </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/map/map_slippy_cache.html"> map::slippy::cache </a> · <a href="tcllib/files/modules/map/map_slippy_fetcher.html"> map::slippy::fetcher </a> </td></tr> <tr class="#doctools_idxodd" valign=top> <td class="#doctools_idxleft" width="35%"><a name="time"> time </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/ntp/ntp_time.html"> ntp_time </a> </td></tr> <tr class="#doctools_idxeven" valign=top> <td class="#doctools_idxleft" width="35%"><a name="timestamp"> timestamp </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/png/png.html"> png </a> </td></tr> <tr class="#doctools_idxodd" valign=top> <td class="#doctools_idxleft" width="35%"><a name="timestamps"> timestamps </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/debug/debug_timestamp.html"> debug::timestamp </a> </td></tr> <tr class="#doctools_idxeven" valign=top> <td class="#doctools_idxleft" width="35%"><a name="tip_219"> tip 219 </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/virtchannel_base/cat.html"> tcl::chan::cat </a> · <a href="tcllib/files/modules/virtchannel_core/core.html"> tcl::chan::core </a> · <a href="tcllib/files/modules/virtchannel_core/events.html"> tcl::chan::events </a> · <a href="tcllib/files/modules/virtchannel_base/facade.html"> tcl::chan::facade </a> · <a href="tcllib/files/modules/virtchannel_base/tcllib_fifo.html"> tcl::chan::fifo </a> · <a href="tcllib/files/modules/virtchannel_base/tcllib_fifo2.html"> tcl::chan::fifo2 </a> · <a href="tcllib/files/modules/virtchannel_base/halfpipe.html"> tcl::chan::halfpipe </a> · <a href="tcllib/files/modules/virtchannel_base/tcllib_memchan.html"> tcl::chan::memchan </a> · <a href="tcllib/files/modules/virtchannel_base/tcllib_null.html"> tcl::chan::null </a> · <a href="tcllib/files/modules/virtchannel_base/nullzero.html"> tcl::chan::nullzero </a> · <a href="tcllib/files/modules/virtchannel_base/tcllib_random.html"> tcl::chan::random </a> · <a href="tcllib/files/modules/virtchannel_base/std.html"> tcl::chan::std </a> · <a href="tcllib/files/modules/virtchannel_base/tcllib_string.html"> tcl::chan::string </a> · <a href="tcllib/files/modules/virtchannel_base/textwindow.html"> tcl::chan::textwindow </a> · <a href="tcllib/files/modules/virtchannel_base/tcllib_variable.html"> tcl::chan::variable </a> · <a href="tcllib/files/modules/virtchannel_base/tcllib_zero.html"> tcl::chan::zero </a> · <a href="tcllib/files/modules/virtchannel_base/randseed.html"> tcl::randomseed </a> · <a href="tcllib/files/modules/virtchannel_core/transformcore.html"> tcl::transform::core </a> </td></tr> <tr class="#doctools_idxodd" valign=top> <td class="#doctools_idxleft" width="35%"><a name="tip_230"> tip 230 </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/virtchannel_transform/adler32.html"> tcl::transform::adler32 </a> · <a href="tcllib/files/modules/virtchannel_transform/vt_base64.html"> tcl::transform::base64 </a> · <a href="tcllib/files/modules/virtchannel_transform/vt_counter.html"> tcl::transform::counter </a> · <a href="tcllib/files/modules/virtchannel_transform/vt_crc32.html"> tcl::transform::crc32 </a> · <a href="tcllib/files/modules/virtchannel_transform/hex.html"> tcl::transform::hex </a> · <a href="tcllib/files/modules/virtchannel_transform/identity.html"> tcl::transform::identity </a> · <a href="tcllib/files/modules/virtchannel_transform/limitsize.html"> tcl::transform::limitsize </a> · <a href="tcllib/files/modules/virtchannel_transform/observe.html"> tcl::transform::observe </a> · <a href="tcllib/files/modules/virtchannel_transform/vt_otp.html"> tcl::transform::otp </a> · <a href="tcllib/files/modules/virtchannel_transform/rot.html"> tcl::transform::rot </a> · <a href="tcllib/files/modules/virtchannel_transform/spacer.html"> tcl::transform::spacer </a> · <a href="tcllib/files/modules/virtchannel_transform/tcllib_zlib.html"> tcl::transform::zlib </a> </td></tr> <tr class="#doctools_idxeven" valign=top> <td class="#doctools_idxleft" width="35%"><a name="tip_234"> tip 234 </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/virtchannel_transform/tcllib_zlib.html"> tcl::transform::zlib </a> </td></tr> <tr class="#doctools_idxodd" valign=top> <td class="#doctools_idxleft" width="35%"><a name="tip_317"> tip 317 </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/virtchannel_transform/vt_base64.html"> tcl::transform::base64 </a> </td></tr> <tr class="#doctools_idxeven" valign=top> <td class="#doctools_idxleft" width="35%"><a name="tk"> Tk </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/virtchannel_base/textwindow.html"> tcl::chan::textwindow </a> </td></tr> <tr class="#doctools_idxodd" valign=top> <td class="#doctools_idxleft" width="35%"><a name="tls"> tls </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/comm/comm.html"> comm </a> · <a href="tcllib/files/modules/imap4/imap4.html"> imap4 </a> · <a href="tcllib/files/modules/pop3/pop3.html"> pop3 </a> · <a href="tcllib/files/modules/pop3d/pop3d.html"> pop3d </a> · <a href="tcllib/files/modules/mime/smtp.html"> smtp </a> · <a href="tcllib/files/modules/transfer/connect.html"> transfer::connect </a> · <a href="tcllib/files/modules/transfer/receiver.html"> transfer::receiver </a> · <a href="tcllib/files/modules/transfer/transmitter.html"> transfer::transmitter </a> </td></tr> <tr class="#doctools_idxeven" valign=top> <td class="#doctools_idxleft" width="35%"><a name="tmml"> TMML </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/doctools/doctools.html"> doctools </a> · <a href="tcllib/files/modules/doctools/docidx.html"> doctools::idx </a> · <a href="tcllib/files/modules/doctools2idx/idx_container.html"> doctools::idx </a> · <a href="tcllib/files/modules/doctools2toc/toc_container.html"> doctools::toc </a> · <a href="tcllib/files/modules/doctools/doctoc.html"> doctools::toc </a> · <a href="tcllib/files/apps/dtplite.html"> dtplite </a> · <a href="tcllib/files/modules/dtplite/pkg_dtplite.html"> dtplite </a> · <a href="tcllib/files/modules/doctools/mpexpand.html"> mpexpand </a> </td></tr> <tr class="#doctools_idxodd" valign=top> <td class="#doctools_idxleft" width="35%"><a name="toc"> toc </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/doctools/doctoc_intro.html"> doctoc_intro </a> · <a href="tcllib/files/modules/doctools/doctoc_plugin_apiref.html"> doctoc_plugin_apiref </a> · <a href="tcllib/files/modules/doctools/doctoc.html"> doctools::toc </a> · <a href="tcllib/files/modules/doctools2toc/export_doctoc.html"> doctools::toc::export::doctoc </a> · <a href="tcllib/files/modules/doctools2toc/toc_export_html.html"> doctools::toc::export::html </a> · <a href="tcllib/files/modules/doctools2toc/toc_export_json.html"> doctools::toc::export::json </a> · <a href="tcllib/files/modules/doctools2toc/toc_export_nroff.html"> doctools::toc::export::nroff </a> · <a href="tcllib/files/modules/doctools2toc/toc_export_text.html"> doctools::toc::export::text </a> · <a href="tcllib/files/modules/doctools2toc/toc_export_wiki.html"> doctools::toc::export::wiki </a> · <a href="tcllib/files/modules/doctools2toc/import_doctoc.html"> doctools::toc::import::doctoc </a> · <a href="tcllib/files/modules/doctools2toc/toc_import_json.html"> doctools::toc::import::json </a> </td></tr> <tr class="#doctools_idxeven" valign=top> <td class="#doctools_idxleft" width="35%"><a name="toc_formatter"> toc formatter </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/doctools/doctoc_plugin_apiref.html"> doctoc_plugin_apiref </a> </td></tr> <tr class="#doctools_idxodd" valign=top> <td class="#doctools_idxleft" width="35%"><a name="tokenization"> tokenization </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/string/token.html"> string::token </a> · <a href="tcllib/files/modules/string/token_shell.html"> string::token::shell </a> </td></tr> <tr class="#doctools_idxeven" valign=top> <td class="#doctools_idxleft" width="35%"><a name="tool"> TOOL </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/oometa/oometa.html"> oometa </a> · <a href="tcllib/files/modules/tool/tool.html"> tool </a> · <a href="tcllib/files/modules/tool/tool_dict_ensemble.html"> tool::dict_ensemble </a> </td></tr> <tr class="#doctools_idxodd" valign=top> <td class="#doctools_idxleft" width="35%"><a name="top_down_parsing_languages"> top-down parsing languages </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/grammar_me/me_intro.html"> grammar::me_intro </a> · <a href="tcllib/files/modules/grammar_peg/peg.html"> grammar::peg </a> · <a href="tcllib/files/modules/grammar_peg/peg_interp.html"> grammar::peg::interp </a> · <a href="tcllib/files/apps/pt.html"> pt </a> · <a href="tcllib/files/modules/pt/pt_astree.html"> pt::ast </a> · <a href="tcllib/files/modules/pt/pt_cparam_config_critcl.html"> pt::cparam::configuration::critcl </a> · <a href="tcllib/files/modules/pt/pt_cparam_config_tea.html"> pt::cparam::configuration::tea </a> · <a href="tcllib/files/modules/pt/pt_json_language.html"> pt::json_language </a> · <a href="tcllib/files/modules/pt/pt_param.html"> pt::param </a> · <a href="tcllib/files/modules/pt/pt_pexpression.html"> pt::pe </a> · <a href="tcllib/files/modules/pt/pt_pexpr_op.html"> pt::pe::op </a> · <a href="tcllib/files/modules/pt/pt_pegrammar.html"> pt::peg </a> · <a href="tcllib/files/modules/pt/pt_peg_container.html"> pt::peg::container </a> · <a href="tcllib/files/modules/pt/pt_peg_container_peg.html"> pt::peg::container::peg </a> · <a href="tcllib/files/modules/pt/pt_peg_export.html"> pt::peg::export </a> · <a href="tcllib/files/modules/pt/pt_peg_export_container.html"> pt::peg::export::container </a> · <a href="tcllib/files/modules/pt/pt_peg_export_json.html"> pt::peg::export::json </a> · <a href="tcllib/files/modules/pt/pt_peg_export_peg.html"> pt::peg::export::peg </a> · <a href="tcllib/files/modules/pt/pt_peg_from_container.html"> pt::peg::from::container </a> · <a href="tcllib/files/modules/pt/pt_peg_from_json.html"> pt::peg::from::json </a> · <a href="tcllib/files/modules/pt/pt_peg_from_peg.html"> pt::peg::from::peg </a> · <a href="tcllib/files/modules/pt/pt_peg_import.html"> pt::peg::import </a> · <a href="tcllib/files/modules/pt/pt_peg_import_container.html"> pt::peg::import::container </a> · <a href="tcllib/files/modules/pt/pt_peg_import_json.html"> pt::peg::import::json </a> · <a href="tcllib/files/modules/pt/pt_peg_import_peg.html"> pt::peg::import::peg </a> · <a href="tcllib/files/modules/pt/pt_peg_interp.html"> pt::peg::interp </a> · <a href="tcllib/files/modules/pt/pt_peg_to_container.html"> pt::peg::to::container </a> · <a href="tcllib/files/modules/pt/pt_peg_to_cparam.html"> pt::peg::to::cparam </a> · <a href="tcllib/files/modules/pt/pt_peg_to_json.html"> pt::peg::to::json </a> · <a href="tcllib/files/modules/pt/pt_peg_to_param.html"> pt::peg::to::param </a> · <a href="tcllib/files/modules/pt/pt_peg_to_peg.html"> pt::peg::to::peg </a> · <a href="tcllib/files/modules/pt/pt_peg_to_tclparam.html"> pt::peg::to::tclparam </a> · <a href="tcllib/files/modules/pt/pt_peg_language.html"> pt::peg_language </a> · <a href="tcllib/files/modules/pt/pt_peg_introduction.html"> pt::pegrammar </a> · <a href="tcllib/files/modules/pt/pt_pgen.html"> pt::pgen </a> · <a href="tcllib/files/modules/pt/pt_rdengine.html"> pt::rde </a> · <a href="tcllib/files/modules/pt/pt_tclparam_config_nx.html"> pt::tclparam::configuration::nx </a> · <a href="tcllib/files/modules/pt/pt_tclparam_config_snit.html"> pt::tclparam::configuration::snit </a> · <a href="tcllib/files/modules/pt/pt_tclparam_config_tcloo.html"> pt::tclparam::configuration::tcloo </a> · <a href="tcllib/files/modules/pt/pt_util.html"> pt::util </a> · <a href="tcllib/files/modules/pt/pt_to_api.html"> pt_export_api </a> · <a href="tcllib/files/modules/pt/pt_from_api.html"> pt_import_api </a> · <a href="tcllib/files/modules/pt/pt_introduction.html"> pt_introduction </a> · <a href="tcllib/files/modules/pt/pt_parse_peg.html"> pt_parse_peg </a> · <a href="tcllib/files/modules/pt/pt_parser_api.html"> pt_parser_api </a> · <a href="tcllib/files/modules/pt/pt_peg_op.html"> pt_peg_op </a> </td></tr> <tr class="#doctools_idxeven" valign=top> <td class="#doctools_idxleft" width="35%"><a name="torrent"> torrent </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/bee/bee.html"> bee </a> </td></tr> <tr class="#doctools_idxodd" valign=top> <td class="#doctools_idxleft" width="35%"><a name="touch"> touch </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/fileutil/fileutil.html"> fileutil </a> </td></tr> <tr class="#doctools_idxeven" valign=top> <td class="#doctools_idxleft" width="35%"><a name="tpdl"> TPDL </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/grammar_me/me_intro.html"> grammar::me_intro </a> </td></tr> <tr class="#doctools_idxodd" valign=top> <td class="#doctools_idxleft" width="35%"><a name="trace"> trace </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/debug/debug.html"> debug </a> · <a href="tcllib/files/modules/debug/debug_caller.html"> debug::caller </a> · <a href="tcllib/files/modules/debug/debug_heartbeat.html"> debug::heartbeat </a> · <a href="tcllib/files/modules/debug/debug_timestamp.html"> debug::timestamp </a> </td></tr> <tr class="#doctools_idxeven" valign=top> <td class="#doctools_idxleft" width="35%"><a name="transducer"> transducer </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/grammar_aycock/aycock.html"> grammar::aycock </a> · <a href="tcllib/files/modules/grammar_fa/fa.html"> grammar::fa </a> · <a href="tcllib/files/modules/grammar_fa/dacceptor.html"> grammar::fa::dacceptor </a> · <a href="tcllib/files/modules/grammar_fa/dexec.html"> grammar::fa::dexec </a> · <a href="tcllib/files/modules/grammar_fa/faop.html"> grammar::fa::op </a> · <a href="tcllib/files/modules/grammar_me/me_intro.html"> grammar::me_intro </a> · <a href="tcllib/files/modules/grammar_peg/peg.html"> grammar::peg </a> · <a href="tcllib/files/modules/grammar_peg/peg_interp.html"> grammar::peg::interp </a> · <a href="tcllib/files/apps/pt.html"> pt </a> · <a href="tcllib/files/modules/pt/pt_astree.html"> pt::ast </a> · <a href="tcllib/files/modules/pt/pt_cparam_config_critcl.html"> pt::cparam::configuration::critcl </a> · <a href="tcllib/files/modules/pt/pt_cparam_config_tea.html"> pt::cparam::configuration::tea </a> · <a href="tcllib/files/modules/pt/pt_json_language.html"> pt::json_language </a> · <a href="tcllib/files/modules/pt/pt_param.html"> pt::param </a> · <a href="tcllib/files/modules/pt/pt_pexpression.html"> pt::pe </a> · <a href="tcllib/files/modules/pt/pt_pexpr_op.html"> pt::pe::op </a> · <a href="tcllib/files/modules/pt/pt_pegrammar.html"> pt::peg </a> · <a href="tcllib/files/modules/pt/pt_peg_container.html"> pt::peg::container </a> · <a href="tcllib/files/modules/pt/pt_peg_container_peg.html"> pt::peg::container::peg 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href="tcllib/files/modules/pt/pt_peg_interp.html"> pt::peg::interp </a> · <a href="tcllib/files/modules/pt/pt_peg_to_container.html"> pt::peg::to::container </a> · <a href="tcllib/files/modules/pt/pt_peg_to_cparam.html"> pt::peg::to::cparam </a> · <a href="tcllib/files/modules/pt/pt_peg_to_json.html"> pt::peg::to::json </a> · <a href="tcllib/files/modules/pt/pt_peg_to_param.html"> pt::peg::to::param </a> · <a href="tcllib/files/modules/pt/pt_peg_to_peg.html"> pt::peg::to::peg </a> · <a href="tcllib/files/modules/pt/pt_peg_to_tclparam.html"> pt::peg::to::tclparam </a> · <a href="tcllib/files/modules/pt/pt_peg_language.html"> pt::peg_language </a> · <a href="tcllib/files/modules/pt/pt_peg_introduction.html"> pt::pegrammar </a> · <a href="tcllib/files/modules/pt/pt_pgen.html"> pt::pgen </a> · <a href="tcllib/files/modules/pt/pt_rdengine.html"> pt::rde </a> · <a href="tcllib/files/modules/pt/pt_tclparam_config_nx.html"> pt::tclparam::configuration::nx </a> · <a href="tcllib/files/modules/pt/pt_tclparam_config_snit.html"> pt::tclparam::configuration::snit </a> · <a href="tcllib/files/modules/pt/pt_tclparam_config_tcloo.html"> pt::tclparam::configuration::tcloo </a> · <a href="tcllib/files/modules/pt/pt_util.html"> pt::util </a> · <a href="tcllib/files/modules/pt/pt_to_api.html"> pt_export_api </a> · <a href="tcllib/files/modules/pt/pt_from_api.html"> pt_import_api </a> · <a href="tcllib/files/modules/pt/pt_introduction.html"> pt_introduction </a> · <a href="tcllib/files/modules/pt/pt_parse_peg.html"> pt_parse_peg </a> · <a href="tcllib/files/modules/pt/pt_parser_api.html"> pt_parser_api </a> · <a href="tcllib/files/modules/pt/pt_peg_op.html"> pt_peg_op </a> </td></tr> <tr class="#doctools_idxodd" valign=top> <td class="#doctools_idxleft" width="35%"><a name="transfer"> transfer </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/transfer/connect.html"> transfer::connect </a> · <a href="tcllib/files/modules/transfer/copyops.html"> transfer::copy </a> · <a href="tcllib/files/modules/transfer/tqueue.html"> transfer::copy::queue </a> · <a href="tcllib/files/modules/transfer/ddest.html"> transfer::data::destination </a> · <a href="tcllib/files/modules/transfer/dsource.html"> transfer::data::source </a> · <a href="tcllib/files/modules/transfer/receiver.html"> transfer::receiver </a> · <a href="tcllib/files/modules/transfer/transmitter.html"> transfer::transmitter </a> </td></tr> <tr class="#doctools_idxeven" valign=top> <td class="#doctools_idxleft" width="35%"><a name="transformation"> transformation </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/page/page_util_peg.html"> page_util_peg </a> · <a href="tcllib/files/modules/virtchannel_transform/adler32.html"> tcl::transform::adler32 </a> · <a href="tcllib/files/modules/virtchannel_transform/vt_base64.html"> tcl::transform::base64 </a> · <a href="tcllib/files/modules/virtchannel_transform/vt_counter.html"> tcl::transform::counter </a> · <a href="tcllib/files/modules/virtchannel_transform/vt_crc32.html"> tcl::transform::crc32 </a> · <a href="tcllib/files/modules/virtchannel_transform/hex.html"> tcl::transform::hex </a> · <a href="tcllib/files/modules/virtchannel_transform/identity.html"> tcl::transform::identity </a> · <a href="tcllib/files/modules/virtchannel_transform/limitsize.html"> tcl::transform::limitsize </a> · <a href="tcllib/files/modules/virtchannel_transform/observe.html"> tcl::transform::observe </a> · <a href="tcllib/files/modules/virtchannel_transform/vt_otp.html"> tcl::transform::otp </a> · <a href="tcllib/files/modules/virtchannel_transform/rot.html"> tcl::transform::rot </a> · <a href="tcllib/files/modules/virtchannel_transform/spacer.html"> tcl::transform::spacer </a> · <a href="tcllib/files/modules/virtchannel_transform/tcllib_zlib.html"> tcl::transform::zlib </a> </td></tr> <tr class="#doctools_idxodd" valign=top> <td class="#doctools_idxleft" width="35%"><a name="transmitter"> transmitter </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/transfer/transmitter.html"> transfer::transmitter </a> </td></tr> <tr class="#doctools_idxeven" valign=top> <td class="#doctools_idxleft" width="35%"><a name="travelling_salesman"> travelling salesman </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/struct/graphops.html"> struct::graph::op </a> </td></tr> <tr class="#doctools_idxodd" valign=top> <td class="#doctools_idxleft" width="35%"><a name="traversal"> traversal </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/fileutil/traverse.html"> fileutil_traverse </a> </td></tr> <tr class="#doctools_idxeven" valign=top> <td class="#doctools_idxleft" width="35%"><a name="tree"> tree </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/grammar_me/gasm.html"> grammar::me::cpu::gasm </a> · <a href="tcllib/files/modules/grammar_me/me_util.html"> grammar::me::util </a> · <a href="tcllib/files/modules/htmlparse/htmlparse.html"> htmlparse </a> · <a href="tcllib/files/modules/struct/queue.html"> struct::queue </a> · <a href="tcllib/files/modules/struct/stack.html"> struct::stack </a> · <a href="tcllib/files/modules/struct/struct_tree.html"> struct::tree </a> · <a href="tcllib/files/modules/struct/struct_tree1.html"> struct::tree_v1 </a> · <a href="tcllib/files/modules/treeql/treeql.html"> treeql </a> </td></tr> <tr class="#doctools_idxodd" valign=top> <td class="#doctools_idxleft" width="35%"><a name="tree_query_language"> tree query language </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/treeql/treeql.html"> treeql </a> </td></tr> <tr class="#doctools_idxeven" valign=top> <td class="#doctools_idxleft" width="35%"><a name="tree_walking"> tree walking </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/page/page_util_flow.html"> page_util_flow </a> · <a href="tcllib/files/modules/page/page_util_norm_lemon.html"> page_util_norm_lemon </a> · <a href="tcllib/files/modules/page/page_util_norm_peg.html"> page_util_norm_peg </a> </td></tr> <tr class="#doctools_idxodd" valign=top> <td class="#doctools_idxleft" width="35%"><a name="treeql"> TreeQL </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/treeql/treeql.html"> treeql </a> </td></tr> <tr class="#doctools_idxeven" valign=top> <td class="#doctools_idxleft" width="35%"><a name="trigonometry"> trigonometry </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/math/trig.html"> math::trig </a> </td></tr> <tr class="#doctools_idxodd" valign=top> <td class="#doctools_idxleft" width="35%"><a name="trimming"> trimming </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/textutil/textutil.html"> textutil </a> · <a href="tcllib/files/modules/textutil/trim.html"> textutil::trim </a> </td></tr> <tr class="#doctools_idxeven" valign=top> <td class="#doctools_idxleft" width="35%"><a name="twitter"> twitter </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/oauth/oauth.html"> oauth </a> </td></tr> <tr class="#doctools_idxodd" valign=top> <td class="#doctools_idxleft" width="35%"><a name="type"> type </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/fileutil/fileutil.html"> fileutil </a> · <a href="tcllib/files/modules/fumagic/cfront.html"> fileutil::magic::cfront </a> · <a href="tcllib/files/modules/fumagic/cgen.html"> fileutil::magic::cgen </a> · <a href="tcllib/files/modules/fumagic/filetypes.html"> fileutil::magic::filetype </a> · <a href="tcllib/files/modules/fumagic/rtcore.html"> fileutil::magic::rt </a> · <a href="tcllib/files/modules/snit/snit.html"> snit </a> </td></tr> <tr class="#doctools_idxeven" valign=top> <td class="#doctools_idxleft" width="35%"><a name="type_checking"> Type checking </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/valtype/valtype_common.html"> valtype::common </a> · <a href="tcllib/files/modules/valtype/cc_amex.html"> valtype::creditcard::amex </a> · <a href="tcllib/files/modules/valtype/cc_discover.html"> valtype::creditcard::discover </a> · <a href="tcllib/files/modules/valtype/cc_mastercard.html"> valtype::creditcard::mastercard </a> · <a href="tcllib/files/modules/valtype/cc_visa.html"> valtype::creditcard::visa </a> · <a href="tcllib/files/modules/valtype/ean13.html"> valtype::gs1::ean13 </a> · <a href="tcllib/files/modules/valtype/iban.html"> valtype::iban </a> · <a href="tcllib/files/modules/valtype/imei.html"> valtype::imei </a> · <a href="tcllib/files/modules/valtype/isbn.html"> valtype::isbn </a> · <a href="tcllib/files/modules/valtype/luhn.html"> valtype::luhn </a> · <a href="tcllib/files/modules/valtype/luhn5.html"> valtype::luhn5 </a> · <a href="tcllib/files/modules/valtype/usnpi.html"> valtype::usnpi </a> · <a href="tcllib/files/modules/valtype/verhoeff.html"> valtype::verhoeff </a> </td></tr> <tr class="#doctools_idxheader"><th colspan="2"> <a name="cU">Keywords: U</a> </th></tr> <tr class="#doctools_idxodd" valign=top> <td class="#doctools_idxleft" width="35%"><a name="uevent"> uevent </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/hook/hook.html"> hook </a> </td></tr> <tr class="#doctools_idxeven" valign=top> <td class="#doctools_idxleft" width="35%"><a name="unbind"> unbind </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/uev/uevent.html"> uevent </a> </td></tr> <tr class="#doctools_idxodd" valign=top> <td class="#doctools_idxleft" width="35%"><a name="uncapitalize"> uncapitalize </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/textutil/textutil_string.html"> textutil::string </a> </td></tr> <tr class="#doctools_idxeven" valign=top> <td class="#doctools_idxleft" width="35%"><a name="undenting"> undenting </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/textutil/adjust.html"> textutil::adjust </a> </td></tr> <tr class="#doctools_idxodd" valign=top> <td class="#doctools_idxleft" width="35%"><a name="unicode"> unicode </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/stringprep/stringprep.html"> stringprep </a> · <a href="tcllib/files/modules/stringprep/stringprep_data.html"> stringprep::data </a> · <a href="tcllib/files/modules/stringprep/unicode.html"> unicode </a> · <a href="tcllib/files/modules/stringprep/unicode_data.html"> unicode::data </a> </td></tr> <tr class="#doctools_idxeven" valign=top> <td class="#doctools_idxleft" width="35%"><a name="union"> union </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/struct/disjointset.html"> struct::disjointset </a> · <a href="tcllib/files/modules/struct/struct_set.html"> struct::set </a> </td></tr> <tr class="#doctools_idxodd" valign=top> <td class="#doctools_idxleft" width="35%"><a name="unit"> unit </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/units/units.html"> units </a> </td></tr> <tr class="#doctools_idxeven" valign=top> <td class="#doctools_idxleft" width="35%"><a name="unknown_hooking"> unknown hooking </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/namespacex/namespacex.html"> namespacex </a> </td></tr> <tr class="#doctools_idxodd" valign=top> <td class="#doctools_idxleft" width="35%"><a name="untie"> untie </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/tie/tie_std.html"> tie </a> · <a href="tcllib/files/modules/tie/tie.html"> tie </a> </td></tr> <tr class="#doctools_idxeven" valign=top> <td class="#doctools_idxleft" width="35%"><a name="update"> update </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/coroutine/tcllib_coroutine.html"> coroutine </a> · <a href="tcllib/files/modules/coroutine/coro_auto.html"> coroutine::auto </a> </td></tr> <tr class="#doctools_idxodd" valign=top> <td class="#doctools_idxleft" width="35%"><a name="uri"> uri </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/uri/uri.html"> uri </a> · <a href="tcllib/files/modules/uri/urn-scheme.html"> uri_urn </a> </td></tr> <tr class="#doctools_idxeven" valign=top> <td class="#doctools_idxleft" width="35%"><a name="url"> url </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/doctools2idx/idx_container.html"> doctools::idx </a> · <a href="tcllib/files/modules/doctools2idx/idx_export.html"> doctools::idx::export </a> · <a href="tcllib/files/modules/doctools2idx/idx_import.html"> doctools::idx::import </a> · <a href="tcllib/files/modules/doctools2toc/toc_export.html"> doctools::toc::export </a> · <a href="tcllib/files/modules/doctools2toc/toc_import.html"> doctools::toc::import </a> · <a href="tcllib/files/modules/map/map_geocode_nominatim.html"> map::geocode::nominatim </a> · <a href="tcllib/files/modules/map/map_slippy_fetcher.html"> map::slippy::fetcher </a> · <a href="tcllib/files/modules/uri/uri.html"> uri </a> · <a href="tcllib/files/modules/uri/urn-scheme.html"> uri_urn </a> </td></tr> <tr class="#doctools_idxodd" valign=top> <td class="#doctools_idxleft" width="35%"><a name="urn"> urn </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/uri/urn-scheme.html"> uri_urn </a> </td></tr> <tr class="#doctools_idxeven" valign=top> <td class="#doctools_idxleft" width="35%"><a name="us_npi"> US-NPI </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/valtype/usnpi.html"> valtype::usnpi </a> </td></tr> <tr class="#doctools_idxodd" valign=top> <td class="#doctools_idxleft" width="35%"><a name="utilities"> utilities </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/namespacex/namespacex.html"> namespacex </a> </td></tr> <tr class="#doctools_idxeven" valign=top> <td class="#doctools_idxleft" width="35%"><a name="uuencode"> uuencode </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/base64/uuencode.html"> uuencode </a> </td></tr> <tr class="#doctools_idxodd" valign=top> <td class="#doctools_idxleft" width="35%"><a name="uuid"> UUID </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/uuid/uuid.html"> uuid </a> </td></tr> <tr class="#doctools_idxheader"><th colspan="2"> <a name="cV">Keywords: V</a> </th></tr> <tr class="#doctools_idxeven" valign=top> <td class="#doctools_idxleft" width="35%"><a name="validation"> Validation </a></td> <td class="#doctools_idxright" width="65%"> <a href="tcllib/files/modules/valtype/valtype_common.html"> valtype::common </a> · <a 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<h1 class="doctools_title">math::quasirandom(n) 1 tcllib "Tcl Math Library"</h1>
<div id="name" class="doctools_section"><h2><a name="name">Name</a></h2>
<p>math::quasirandom - Quasi-random points for integration and Monte Carlo type methods</p>
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<div id="toc" class="doctools_section"><h2><a name="toc">Table Of Contents</a></h2>
<ul class="doctools_toc">
<li class="doctools_section"><a href="#toc">Table Of Contents</a></li>
<li class="doctools_section"><a href="#synopsis">Synopsis</a></li>
<li class="doctools_section"><a href="#section1">Description</a></li>
<li class="doctools_section"><a href="#section2">COMMANDS</a></li>
<li class="doctools_section"><a href="#section3">TODO</a></li>
<li class="doctools_section"><a href="#section4">References</a></li>
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<li class="doctools_section"><a href="#category">Category</a></li>
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<div id="synopsis" class="doctools_section"><h2><a name="synopsis">Synopsis</a></h2>
<div class="doctools_synopsis">
<ul class="doctools_requirements">
<li>package require <b class="pkgname">Tcl 8.5</b></li>
<li>package require <b class="pkgname">TclOO</b></li>
<li>package require <b class="pkgname">math::quasirandom 1</b></li>
</ul>
<ul class="doctools_syntax">
<li><a href="#1"><b class="cmd">::math::quasirandom::qrpoint create</b> <i class="arg">NAME</i> <i class="arg">DIM</i> <span class="opt">?ARGS?</span></a></li>
<li><a href="#2"><b class="cmd">gen next</b></a></li>
<li><a href="#3"><b class="cmd">gen set-start</b> <i class="arg">index</i></a></li>
<li><a href="#4"><b class="cmd">gen set-evaluations</b> <i class="arg">number</i></a></li>
<li><a href="#5"><b class="cmd">gen integral</b> <i class="arg">func</i> <i class="arg">minmax</i> <i class="arg">args</i></a></li>
</ul>
</div>
</div>
<div id="section1" class="doctools_section"><h2><a name="section1">Description</a></h2>
<p>In many applications pseudo-random numbers and pseudo-random points in a (limited)
sample space play an important role. For instance in any type of Monte Carlo simulation.
Pseudo-random numbers, however, may be too random and as a consequence a large
number of data points is required to reduce the error or fluctuation in the results
to the desired value.</p>
<p>Quasi-random numbers can be used as an alternative: instead of "completely" arbitrary
points, points are generated that are diverse enough to cover the entire sample space
in a more or less uniform way. As a consequence convergence to the limit can be
much faster, when such quasi-random numbers are well-chosen.</p>
<p>The package defines a <i class="term"><a href="../../../../index.html#class">class</a></i> "qrpoint" that creates a command to generate
quasi-random points in 1, 2 or more dimensions. The command can either generate
separate points, so that they can be used in a user-defined algorithm or use these
points to calculate integrals of functions defined over 1, 2 or more dimensions.
It also holds several other common algorithms. (NOTE: these are not implemented yet)</p>
<p>One particular characteristic of the generators is that there are no tuning parameters
involved, which makes the use particularly simple.</p>
</div>
<div id="section2" class="doctools_section"><h2><a name="section2">COMMANDS</a></h2>
<p>A quasi-random point generator is created using the <i class="term">qrpoint</i> class:</p>
<dl class="doctools_definitions">
<dt><a name="1"><b class="cmd">::math::quasirandom::qrpoint create</b> <i class="arg">NAME</i> <i class="arg">DIM</i> <span class="opt">?ARGS?</span></a></dt>
<dd><p>This command takes the following arguments:</p>
<dl class="doctools_arguments">
<dt>string <i class="arg">NAME</i></dt>
<dd><p>The name of the command to be created (alternatively: the <i class="term">new</i> subcommand
will generate a unique name)</p></dd>
<dt>integer/string <i class="arg">DIM</i></dt>
<dd><p>The number of dimensions or one of: "circle", "disk", "sphere" or "ball"</p></dd>
<dt>strings <i class="arg">ARGS</i></dt>
<dd><p>Zero or more key-value pairs. The supported options are:</p>
<ul class="doctools_itemized">
<li><p><i class="term">-start index</i>: The index for the next point to be generated (default: 1)</p></li>
<li><p><i class="term">-evaluations number</i>: The number of evaluations to be used by default (default: 100)</p></li>
</ul></dd>
</dl></dd>
</dl>
<p>The points that are returned lie in the hyperblock [0,1[^n (n the number of dimensions)
or on the unit circle, within the unit disk, on the unit sphere or within the unit ball.</p>
<p>Each generator supports the following subcommands:</p>
<dl class="doctools_definitions">
<dt><a name="2"><b class="cmd">gen next</b></a></dt>
<dd><p>Return the coordinates of the next quasi-random point</p></dd>
<dt><a name="3"><b class="cmd">gen set-start</b> <i class="arg">index</i></a></dt>
<dd><p>Reset the index for the next quasi-random point. This is useful to control which list of points is returned.
Returns the new or the current value, if no value is given.</p></dd>
<dt><a name="4"><b class="cmd">gen set-evaluations</b> <i class="arg">number</i></a></dt>
<dd><p>Reset the default number of evaluations in compound algorithms. Note that the actual number is the
smallest 4-fold larger or equal to the given number. (The 4-fold plays a role in the detailed integration
routine.)</p></dd>
<dt><a name="5"><b class="cmd">gen integral</b> <i class="arg">func</i> <i class="arg">minmax</i> <i class="arg">args</i></a></dt>
<dd><p>Calculate the integral of the given function over the block (or the circle, sphere etc.)</p>
<dl class="doctools_arguments">
<dt>string <i class="arg">func</i></dt>
<dd><p>The name of the function to be integrated</p></dd>
<dt>list <i class="arg">minmax</i></dt>
<dd><p>List of pairs of minimum and maximum coordinates. This can be used to
map the quasi-random coordinates to the desired hyper-block.</p>
<p>If the space is a circle, disk etc. then this argument should be a single value, the radius.
The circle, disk, etc. is centred at the origin. If this is not what is required, then a coordinate
transformation should be made within the function.</p></dd>
<dt>strings <i class="arg">args</i></dt>
<dd><p>Zero or more key-value pairs. The following options are supported:</p>
<ul class="doctools_itemized">
<li><p><i class="term">-evaluations number</i>: The number of evaluations to be used. If not specified use the
default of the generator object.</p></li>
</ul></dd>
</dl></dd>
</dl>
</div>
<div id="section3" class="doctools_section"><h2><a name="section3">TODO</a></h2>
<p>Implement other algorithms and variants</p>
<p>Implement more unit tests.</p>
<p>Comparison to pseudo-random numbers for integration.</p>
</div>
<div id="section4" class="doctools_section"><h2><a name="section4">References</a></h2>
<p>Various algorithms exist for generating quasi-random numbers. The generators created in this package are based on:
<a href="http://extremelearning.com.au/unreasonable-effectiveness-of-quasirandom-sequences/">http://extremelearning.com.au/unreasonable-effectiveness-of-quasirandom-sequences/</a></p>
</div>
<div id="keywords" class="doctools_section"><h2><a name="keywords">Keywords</a></h2>
<p><a href="../../../../index.html#mathematics">mathematics</a>, <a href="../../../../index.html#quasi_random">quasi-random</a></p>
</div>
<div id="category" class="doctools_section"><h2><a name="category">Category</a></h2>
<p>Mathematics</p>
</div>
</div></body></html>
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href="files/modules/math/polynomials.html">math::polynomials</a></td> <td class="#doctools_tocright">Polynomial functions</td> </tr> <tr class="#doctools_toceven" > <td class="#doctools_tocleft" ><a name='math_quasirandom'><a href="files/modules/math/quasirandom.html">math::quasirandom</a></td> <td class="#doctools_tocright">Quasi-random points for integration and Monte Carlo type methods</td> </tr> <tr class="#doctools_tocodd" > <td class="#doctools_tocleft" ><a name='math_rationalfunctions'><a href="files/modules/math/rational_funcs.html">math::rationalfunctions</a></td> <td class="#doctools_tocright">Polynomial functions</td> </tr> <tr class="#doctools_toceven" > <td class="#doctools_tocleft" ><a name='math_roman'><a href="files/modules/math/roman.html">math::roman</a></td> <td class="#doctools_tocright">Tools for creating and manipulating roman numerals</td> </tr> <tr class="#doctools_tocodd" > <td class="#doctools_tocleft" ><a name='math_special'><a href="files/modules/math/special.html">math::special</a></td> <td class="#doctools_tocright">Special mathematical functions</td> </tr> <tr class="#doctools_toceven" > <td class="#doctools_tocleft" ><a name='math_statistics'><a href="files/modules/math/statistics.html">math::statistics</a></td> <td class="#doctools_tocright">Basic statistical functions and procedures</td> </tr> <tr class="#doctools_tocodd" > <td class="#doctools_tocleft" ><a name='math_trig'><a href="files/modules/math/trig.html">math::trig</a></td> <td class="#doctools_tocright">Trigonometric anf hyperbolic functions</td> </tr> <tr class="#doctools_toceven" > <td class="#doctools_tocleft" ><a name='md4'><a href="files/modules/md4/md4.html">md4</a></td> <td class="#doctools_tocright">MD4 Message-Digest Algorithm</td> </tr> <tr class="#doctools_tocodd" > <td class="#doctools_tocleft" ><a name='md5'><a href="files/modules/md5/md5.html">md5</a></td> <td class="#doctools_tocright">MD5 Message-Digest Algorithm</td> </tr> <tr class="#doctools_toceven" > <td class="#doctools_tocleft" ><a name='md5crypt'><a href="files/modules/md5crypt/md5crypt.html">md5crypt</a></td> <td class="#doctools_tocright">MD5-based password encryption</td> </tr> <tr class="#doctools_tocodd" > <td class="#doctools_tocleft" ><a name='mime'><a href="files/modules/mime/mime.html">mime</a></td> <td class="#doctools_tocright">Manipulation of MIME body parts</td> </tr> <tr class="#doctools_toceven" > <td class="#doctools_tocleft" ><a name='mpexpand'><a href="files/modules/doctools/mpexpand.html">mpexpand</a></td> <td class="#doctools_tocright">Markup processor</td> </tr> <tr class="#doctools_tocodd" > <td class="#doctools_tocleft" ><a name='multiplexer'><a href="files/modules/multiplexer/multiplexer.html">multiplexer</a></td> <td class="#doctools_tocright">One-to-many communication with sockets.</td> </tr> <tr class="#doctools_toceven" > <td class="#doctools_tocleft" ><a name='nameserv'><a href="files/modules/nns/nns_client.html">nameserv</a></td> <td class="#doctools_tocright">Name service facility, Client</td> </tr> <tr class="#doctools_tocodd" > <td class="#doctools_tocleft" ><a name='nameserv_auto'><a href="files/modules/nns/nns_auto.html">nameserv::auto</a></td> <td class="#doctools_tocright">Name service facility, Client Extension</td> </tr> <tr class="#doctools_toceven" > <td class="#doctools_tocleft" ><a name='nameserv_common'><a href="files/modules/nns/nns_common.html">nameserv::common</a></td> <td class="#doctools_tocright">Name service facility, shared definitions</td> </tr> <tr class="#doctools_tocodd" > <td class="#doctools_tocleft" ><a name='nameserv_protocol'><a href="files/modules/nns/nns_protocol.html">nameserv::protocol</a></td> <td class="#doctools_tocright">Name service facility, client/server protocol</td> </tr> <tr class="#doctools_toceven" > <td class="#doctools_tocleft" ><a name='nameserv_server'><a href="files/modules/nns/nns_server.html">nameserv::server</a></td> <td class="#doctools_tocright">Name service facility, Server</td> </tr> <tr class="#doctools_tocodd" > <td class="#doctools_tocleft" ><a name='namespacex'><a href="files/modules/namespacex/namespacex.html">namespacex</a></td> <td class="#doctools_tocright">Namespace utility commands</td> </tr> <tr class="#doctools_toceven" > <td class="#doctools_tocleft" ><a name='ncgi'><a href="files/modules/ncgi/ncgi.html">ncgi</a></td> <td class="#doctools_tocright">Procedures to manipulate CGI values.</td> </tr> <tr class="#doctools_tocodd" > <td class="#doctools_tocleft" ><a name='nettool'><a href="files/modules/nettool/nettool.html">nettool</a></td> <td class="#doctools_tocright">Tools for networked applications</td> </tr> <tr class="#doctools_toceven" > <td class="#doctools_tocleft" ><a name='nmea'><a href="files/modules/nmea/nmea.html">nmea</a></td> <td class="#doctools_tocright">Process NMEA data</td> </tr> <tr class="#doctools_tocodd" > <td class="#doctools_tocleft" ><a name='nns'><a href="files/apps/nns.html">nns</a></td> <td class="#doctools_tocright">Name service facility, Commandline Client Application</td> </tr> <tr class="#doctools_toceven" > <td class="#doctools_tocleft" ><a name='nns_intro'><a href="files/modules/nns/nns_intro.html">nns_intro</a></td> <td class="#doctools_tocright">Name service facility, introduction</td> </tr> <tr class="#doctools_tocodd" > <td class="#doctools_tocleft" ><a name='nnsd'><a href="files/apps/nnsd.html">nnsd</a></td> <td class="#doctools_tocright">Name service facility, Commandline Server Application</td> </tr> <tr class="#doctools_toceven" > <td class="#doctools_tocleft" ><a name='nnslog'><a href="files/apps/nnslog.html">nnslog</a></td> <td class="#doctools_tocright">Name service facility, Commandline Logging Client Application</td> </tr> <tr class="#doctools_tocodd" > <td class="#doctools_tocleft" ><a name='nntp'><a href="files/modules/nntp/nntp.html">nntp</a></td> <td class="#doctools_tocright">Tcl client for the NNTP protocol</td> </tr> <tr class="#doctools_toceven" > <td class="#doctools_tocleft" ><a name='ntp_time'><a href="files/modules/ntp/ntp_time.html">ntp_time</a></td> <td class="#doctools_tocright">Tcl Time Service Client</td> </tr> <tr class="#doctools_tocodd" > <td class="#doctools_tocleft" ><a name='oauth'><a href="files/modules/oauth/oauth.html">oauth</a></td> <td class="#doctools_tocright">oauth API base signature</td> </tr> <tr class="#doctools_toceven" > <td class="#doctools_tocleft" ><a name='oo_util'><a href="files/modules/tool/meta.html">oo::util</a></td> <td class="#doctools_tocright">Utility commands for TclOO</td> </tr> <tr class="#doctools_tocodd" > <td class="#doctools_tocleft" ><a name='oo_util'><a href="files/modules/ooutil/ooutil.html">oo::util</a></td> <td class="#doctools_tocright">Utility commands for TclOO</td> </tr> <tr class="#doctools_toceven" > <td class="#doctools_tocleft" ><a name='oometa'><a href="files/modules/oometa/oometa.html">oometa</a></td> <td class="#doctools_tocright">oo::meta A data registry for classess</td> </tr> <tr class="#doctools_tocodd" > <td class="#doctools_tocleft" ><a name='otp'><a href="files/modules/otp/otp.html">otp</a></td> <td class="#doctools_tocright">One-Time Passwords</td> </tr> <tr class="#doctools_toceven" > <td class="#doctools_tocleft" ><a name='page'><a href="files/apps/page.html">page</a></td> <td class="#doctools_tocright">Parser Generator</td> </tr> <tr class="#doctools_tocodd" > <td class="#doctools_tocleft" ><a name='page_intro'><a href="files/modules/page/page_intro.html">page_intro</a></td> <td class="#doctools_tocright">page introduction</td> </tr> <tr class="#doctools_toceven" > <td class="#doctools_tocleft" ><a name='page_pluginmgr'><a href="files/modules/page/page_pluginmgr.html">page_pluginmgr</a></td> <td class="#doctools_tocright">page plugin manager</td> </tr> <tr class="#doctools_tocodd" > <td class="#doctools_tocleft" ><a name='page_util_flow'><a href="files/modules/page/page_util_flow.html">page_util_flow</a></td> <td class="#doctools_tocright">page dataflow/treewalker utility</td> </tr> <tr class="#doctools_toceven" > <td class="#doctools_tocleft" ><a name='page_util_norm_lemon'><a href="files/modules/page/page_util_norm_lemon.html">page_util_norm_lemon</a></td> <td class="#doctools_tocright">page AST normalization, LEMON</td> </tr> <tr class="#doctools_tocodd" > <td class="#doctools_tocleft" ><a name='page_util_norm_peg'><a href="files/modules/page/page_util_norm_peg.html">page_util_norm_peg</a></td> <td class="#doctools_tocright">page AST normalization, PEG</td> </tr> <tr class="#doctools_toceven" > <td class="#doctools_tocleft" ><a name='page_util_peg'><a href="files/modules/page/page_util_peg.html">page_util_peg</a></td> <td class="#doctools_tocright">page PEG transformation utilities</td> </tr> <tr class="#doctools_tocodd" > <td class="#doctools_tocleft" ><a name='page_util_quote'><a href="files/modules/page/page_util_quote.html">page_util_quote</a></td> <td class="#doctools_tocright">page character quoting utilities</td> </tr> <tr class="#doctools_toceven" > <td class="#doctools_tocleft" ><a name='picoirc'><a href="files/modules/irc/picoirc.html">picoirc</a></td> <td class="#doctools_tocright">Small and simple embeddable IRC client.</td> </tr> <tr class="#doctools_tocodd" > <td class="#doctools_tocleft" ><a name='pki'><a href="files/modules/pki/pki.html">pki</a></td> <td class="#doctools_tocright">Implementation of the public key cipher</td> </tr> <tr class="#doctools_toceven" > <td class="#doctools_tocleft" ><a name='pluginmgr'><a href="files/modules/pluginmgr/pluginmgr.html">pluginmgr</a></td> <td class="#doctools_tocright">Manage a plugin</td> </tr> <tr class="#doctools_tocodd" > <td class="#doctools_tocleft" ><a name='png'><a href="files/modules/png/png.html">png</a></td> <td class="#doctools_tocright">PNG querying and manipulation of meta data</td> </tr> <tr class="#doctools_toceven" > <td class="#doctools_tocleft" ><a name='pop3'><a href="files/modules/pop3/pop3.html">pop3</a></td> <td class="#doctools_tocright">Tcl client for POP3 email protocol</td> </tr> <tr class="#doctools_tocodd" > <td class="#doctools_tocleft" ><a name='pop3d'><a href="files/modules/pop3d/pop3d.html">pop3d</a></td> <td class="#doctools_tocright">Tcl POP3 server implementation</td> </tr> <tr class="#doctools_toceven" > <td class="#doctools_tocleft" ><a name='pop3d_dbox'><a href="files/modules/pop3d/pop3d_dbox.html">pop3d::dbox</a></td> <td class="#doctools_tocright">Simple mailbox database for pop3d</td> </tr> <tr class="#doctools_tocodd" > <td class="#doctools_tocleft" ><a name='pop3d_udb'><a href="files/modules/pop3d/pop3d_udb.html">pop3d::udb</a></td> <td class="#doctools_tocright">Simple user database for pop3d</td> </tr> <tr class="#doctools_toceven" > <td class="#doctools_tocleft" ><a name='practcl'><a href="files/modules/practcl/practcl.html">practcl</a></td> <td class="#doctools_tocright">The Practcl Module</td> </tr> <tr class="#doctools_tocodd" > <td class="#doctools_tocleft" ><a name='processman'><a href="files/modules/processman/processman.html">processman</a></td> <td class="#doctools_tocright">Tool for automating the period callback of commands</td> </tr> <tr class="#doctools_toceven" > <td class="#doctools_tocleft" ><a name='profiler'><a href="files/modules/profiler/profiler.html">profiler</a></td> <td class="#doctools_tocright">Tcl source code profiler</td> </tr> <tr class="#doctools_tocodd" > <td class="#doctools_tocleft" ><a name='pt'><a href="files/apps/pt.html">pt</a></td> <td class="#doctools_tocright">Parser Tools Application</td> </tr> <tr class="#doctools_toceven" > <td class="#doctools_tocleft" ><a name='pt_ast'><a href="files/modules/pt/pt_astree.html">pt::ast</a></td> <td class="#doctools_tocright">Abstract Syntax Tree Serialization</td> </tr> <tr class="#doctools_tocodd" > <td class="#doctools_tocleft" ><a name='pt_cparam_configuration_critcl'><a href="files/modules/pt/pt_cparam_config_critcl.html">pt::cparam::configuration::critcl</a></td> <td class="#doctools_tocright">C/PARAM, Canned configuration, Critcl</td> </tr> <tr class="#doctools_toceven" > <td class="#doctools_tocleft" ><a name='pt_cparam_configuration_tea'><a href="files/modules/pt/pt_cparam_config_tea.html">pt::cparam::configuration::tea</a></td> <td class="#doctools_tocright">C/PARAM, Canned configuration, TEA</td> </tr> <tr class="#doctools_tocodd" > <td class="#doctools_tocleft" ><a name='pt_json_language'><a href="files/modules/pt/pt_json_language.html">pt::json_language</a></td> <td class="#doctools_tocright">The JSON Grammar Exchange Format</td> </tr> <tr class="#doctools_toceven" > <td class="#doctools_tocleft" ><a name='pt_param'><a href="files/modules/pt/pt_param.html">pt::param</a></td> <td class="#doctools_tocright">PackRat Machine Specification</td> </tr> <tr class="#doctools_tocodd" > <td class="#doctools_tocleft" ><a name='pt_pe'><a href="files/modules/pt/pt_pexpression.html">pt::pe</a></td> <td class="#doctools_tocright">Parsing Expression Serialization</td> </tr> <tr class="#doctools_toceven" > <td class="#doctools_tocleft" ><a name='pt_pe_op'><a href="files/modules/pt/pt_pexpr_op.html">pt::pe::op</a></td> <td class="#doctools_tocright">Parsing Expression Utilities</td> </tr> <tr class="#doctools_tocodd" > <td class="#doctools_tocleft" ><a name='pt_peg'><a href="files/modules/pt/pt_pegrammar.html">pt::peg</a></td> <td class="#doctools_tocright">Parsing Expression Grammar Serialization</td> </tr> <tr class="#doctools_toceven" > <td class="#doctools_tocleft" ><a name='pt_peg_container'><a href="files/modules/pt/pt_peg_container.html">pt::peg::container</a></td> <td class="#doctools_tocright">PEG Storage</td> </tr> <tr class="#doctools_tocodd" > <td class="#doctools_tocleft" ><a name='pt_peg_container_peg'><a href="files/modules/pt/pt_peg_container_peg.html">pt::peg::container::peg</a></td> <td class="#doctools_tocright">PEG Storage. Canned PEG grammar specification</td> </tr> <tr class="#doctools_toceven" > <td class="#doctools_tocleft" ><a name='pt_peg_export'><a href="files/modules/pt/pt_peg_export.html">pt::peg::export</a></td> <td class="#doctools_tocright">PEG Export</td> </tr> <tr class="#doctools_tocodd" > <td class="#doctools_tocleft" ><a name='pt_peg_export_container'><a href="files/modules/pt/pt_peg_export_container.html">pt::peg::export::container</a></td> <td class="#doctools_tocright">PEG Export Plugin. Write CONTAINER format</td> </tr> <tr class="#doctools_toceven" > <td class="#doctools_tocleft" ><a name='pt_peg_export_json'><a href="files/modules/pt/pt_peg_export_json.html">pt::peg::export::json</a></td> <td class="#doctools_tocright">PEG Export Plugin. Write JSON format</td> </tr> <tr class="#doctools_tocodd" > <td class="#doctools_tocleft" ><a name='pt_peg_export_peg'><a href="files/modules/pt/pt_peg_export_peg.html">pt::peg::export::peg</a></td> <td class="#doctools_tocright">PEG Export Plugin. Write PEG format</td> </tr> <tr class="#doctools_toceven" > <td class="#doctools_tocleft" ><a name='pt_peg_from_container'><a href="files/modules/pt/pt_peg_from_container.html">pt::peg::from::container</a></td> <td class="#doctools_tocright">PEG Conversion. From CONTAINER format</td> </tr> <tr class="#doctools_tocodd" > <td class="#doctools_tocleft" ><a name='pt_peg_from_json'><a href="files/modules/pt/pt_peg_from_json.html">pt::peg::from::json</a></td> <td class="#doctools_tocright">PEG Conversion. Read JSON format</td> </tr> <tr class="#doctools_toceven" > <td class="#doctools_tocleft" ><a name='pt_peg_from_peg'><a href="files/modules/pt/pt_peg_from_peg.html">pt::peg::from::peg</a></td> <td class="#doctools_tocright">PEG Conversion. Read PEG format</td> </tr> <tr class="#doctools_tocodd" > <td class="#doctools_tocleft" ><a name='pt_peg_import'><a href="files/modules/pt/pt_peg_import.html">pt::peg::import</a></td> <td class="#doctools_tocright">PEG Import</td> </tr> <tr class="#doctools_toceven" > <td class="#doctools_tocleft" ><a name='pt_peg_import_container'><a href="files/modules/pt/pt_peg_import_container.html">pt::peg::import::container</a></td> <td class="#doctools_tocright">PEG Import Plugin. From CONTAINER format</td> </tr> <tr class="#doctools_tocodd" > <td class="#doctools_tocleft" ><a name='pt_peg_import_json'><a href="files/modules/pt/pt_peg_import_json.html">pt::peg::import::json</a></td> <td class="#doctools_tocright">PEG Import Plugin. Read JSON format</td> </tr> <tr class="#doctools_toceven" > <td class="#doctools_tocleft" ><a name='pt_peg_import_peg'><a href="files/modules/pt/pt_peg_import_peg.html">pt::peg::import::peg</a></td> <td class="#doctools_tocright">PEG Import Plugin. Read PEG format</td> </tr> <tr class="#doctools_tocodd" > <td class="#doctools_tocleft" ><a name='pt_peg_interp'><a href="files/modules/pt/pt_peg_interp.html">pt::peg::interp</a></td> <td class="#doctools_tocright">Interpreter for parsing expression grammars</td> </tr> <tr class="#doctools_toceven" > <td class="#doctools_tocleft" ><a name='pt_peg_to_container'><a href="files/modules/pt/pt_peg_to_container.html">pt::peg::to::container</a></td> <td class="#doctools_tocright">PEG Conversion. Write CONTAINER format</td> </tr> <tr class="#doctools_tocodd" > <td class="#doctools_tocleft" ><a name='pt_peg_to_cparam'><a href="files/modules/pt/pt_peg_to_cparam.html">pt::peg::to::cparam</a></td> <td class="#doctools_tocright">PEG Conversion. Write CPARAM format</td> </tr> <tr class="#doctools_toceven" > <td class="#doctools_tocleft" ><a name='pt_peg_to_json'><a href="files/modules/pt/pt_peg_to_json.html">pt::peg::to::json</a></td> <td class="#doctools_tocright">PEG Conversion. Write JSON format</td> </tr> <tr class="#doctools_tocodd" > <td class="#doctools_tocleft" ><a name='pt_peg_to_param'><a href="files/modules/pt/pt_peg_to_param.html">pt::peg::to::param</a></td> <td class="#doctools_tocright">PEG Conversion. Write PARAM format</td> </tr> <tr class="#doctools_toceven" > <td class="#doctools_tocleft" ><a name='pt_peg_to_peg'><a href="files/modules/pt/pt_peg_to_peg.html">pt::peg::to::peg</a></td> <td class="#doctools_tocright">PEG Conversion. Write PEG format</td> </tr> <tr class="#doctools_tocodd" > <td class="#doctools_tocleft" ><a name='pt_peg_to_tclparam'><a href="files/modules/pt/pt_peg_to_tclparam.html">pt::peg::to::tclparam</a></td> <td class="#doctools_tocright">PEG Conversion. Write TCLPARAM format</td> </tr> <tr class="#doctools_toceven" > <td class="#doctools_tocleft" ><a name='pt_peg_language'><a href="files/modules/pt/pt_peg_language.html">pt::peg_language</a></td> <td class="#doctools_tocright">PEG Language Tutorial</td> </tr> <tr class="#doctools_tocodd" > <td class="#doctools_tocleft" ><a name='pt_pegrammar'><a href="files/modules/pt/pt_peg_introduction.html">pt::pegrammar</a></td> <td class="#doctools_tocright">Introduction to Parsing Expression Grammars</td> </tr> <tr class="#doctools_toceven" > <td class="#doctools_tocleft" ><a name='pt_pgen'><a href="files/modules/pt/pt_pgen.html">pt::pgen</a></td> <td class="#doctools_tocright">Parser Generator</td> </tr> <tr class="#doctools_tocodd" > <td class="#doctools_tocleft" ><a name='pt_rde'><a href="files/modules/pt/pt_rdengine.html">pt::rde</a></td> <td class="#doctools_tocright">Parsing Runtime Support, PARAM based</td> </tr> <tr class="#doctools_toceven" > <td class="#doctools_tocleft" ><a name='pt_tclparam_configuration_nx'><a href="files/modules/pt/pt_tclparam_config_nx.html">pt::tclparam::configuration::nx</a></td> <td class="#doctools_tocright">Tcl/PARAM, Canned configuration, NX</td> </tr> <tr class="#doctools_tocodd" > <td class="#doctools_tocleft" ><a name='pt_tclparam_configuration_snit'><a href="files/modules/pt/pt_tclparam_config_snit.html">pt::tclparam::configuration::snit</a></td> <td class="#doctools_tocright">Tcl/PARAM, Canned configuration, Snit</td> </tr> <tr class="#doctools_toceven" > <td class="#doctools_tocleft" ><a name='pt_tclparam_configuration_tcloo'><a href="files/modules/pt/pt_tclparam_config_tcloo.html">pt::tclparam::configuration::tcloo</a></td> <td class="#doctools_tocright">Tcl/PARAM, Canned configuration, Tcloo</td> </tr> <tr class="#doctools_tocodd" > <td class="#doctools_tocleft" ><a name='pt_util'><a href="files/modules/pt/pt_util.html">pt::util</a></td> <td class="#doctools_tocright">General utilities</td> </tr> <tr class="#doctools_toceven" > <td class="#doctools_tocleft" ><a name='pt_export_api'><a href="files/modules/pt/pt_to_api.html">pt_export_api</a></td> <td class="#doctools_tocright">Parser Tools Export API</td> </tr> <tr class="#doctools_tocodd" > <td class="#doctools_tocleft" ><a name='pt_import_api'><a href="files/modules/pt/pt_from_api.html">pt_import_api</a></td> <td class="#doctools_tocright">Parser Tools Import API</td> </tr> <tr class="#doctools_toceven" > <td class="#doctools_tocleft" ><a name='pt_introduction'><a href="files/modules/pt/pt_introduction.html">pt_introduction</a></td> <td class="#doctools_tocright">Introduction to Parser Tools</td> </tr> <tr class="#doctools_tocodd" > <td class="#doctools_tocleft" ><a name='pt_parse_peg'><a href="files/modules/pt/pt_parse_peg.html">pt_parse_peg</a></td> <td class="#doctools_tocright">Parser Tools PEG Parser</td> </tr> <tr class="#doctools_toceven" > <td class="#doctools_tocleft" ><a name='pt_parser_api'><a href="files/modules/pt/pt_parser_api.html">pt_parser_api</a></td> <td class="#doctools_tocright">Parser API</td> </tr> <tr class="#doctools_tocodd" > <td class="#doctools_tocleft" ><a name='pt_peg_op'><a href="files/modules/pt/pt_peg_op.html">pt_peg_op</a></td> <td class="#doctools_tocright">Parser Tools PE Grammar Utility Operations</td> </tr> <tr class="#doctools_toceven" > <td class="#doctools_tocleft" ><a name='rc4'><a href="files/modules/rc4/rc4.html">rc4</a></td> <td class="#doctools_tocright">Implementation of the RC4 stream cipher</td> </tr> <tr class="#doctools_tocodd" > <td class="#doctools_tocleft" ><a name='rcs'><a href="files/modules/rcs/rcs.html">rcs</a></td> <td class="#doctools_tocright">RCS low level utilities</td> </tr> <tr class="#doctools_toceven" > <td class="#doctools_tocleft" ><a name='report'><a href="files/modules/report/report.html">report</a></td> <td class="#doctools_tocright">Create and manipulate report objects</td> </tr> <tr class="#doctools_tocodd" > <td class="#doctools_tocleft" ><a name='rest'><a href="files/modules/rest/rest.html">rest</a></td> <td class="#doctools_tocright">define REST web APIs and call them inline or asychronously</td> </tr> <tr class="#doctools_toceven" > <td class="#doctools_tocleft" ><a name='ripemd128'><a href="files/modules/ripemd/ripemd128.html">ripemd128</a></td> <td class="#doctools_tocright">RIPEMD-128 Message-Digest Algorithm</td> </tr> <tr class="#doctools_tocodd" > <td class="#doctools_tocleft" ><a name='ripemd160'><a href="files/modules/ripemd/ripemd160.html">ripemd160</a></td> <td class="#doctools_tocright">RIPEMD-160 Message-Digest Algorithm</td> </tr> <tr class="#doctools_toceven" > <td class="#doctools_tocleft" ><a name='s3'><a href="files/modules/amazon-s3/S3.html">S3</a></td> <td class="#doctools_tocright">Amazon S3 Web Service Interface</td> </tr> <tr class="#doctools_tocodd" > <td class="#doctools_tocleft" ><a name='sasl'><a href="files/modules/sasl/sasl.html">SASL</a></td> <td class="#doctools_tocright">Implementation of SASL mechanisms for Tcl</td> </tr> <tr class="#doctools_toceven" > <td class="#doctools_tocleft" ><a name='sasl_ntlm'><a href="files/modules/sasl/ntlm.html">SASL::NTLM</a></td> <td class="#doctools_tocright">Implementation of SASL NTLM mechanism for Tcl</td> </tr> <tr class="#doctools_tocodd" > <td class="#doctools_tocleft" ><a name='sasl_scram'><a href="files/modules/sasl/scram.html">SASL::SCRAM</a></td> <td class="#doctools_tocright">Implementation of SASL SCRAM mechanism for Tcl</td> </tr> <tr class="#doctools_toceven" > <td class="#doctools_tocleft" ><a name='sasl_xgoogletoken'><a href="files/modules/sasl/gtoken.html">SASL::XGoogleToken</a></td> <td class="#doctools_tocright">Implementation of SASL NTLM mechanism for Tcl</td> </tr> <tr class="#doctools_tocodd" > <td class="#doctools_tocleft" ><a name='sha1'><a href="files/modules/sha1/sha1.html">sha1</a></td> <td class="#doctools_tocright">SHA1 Message-Digest Algorithm</td> </tr> <tr class="#doctools_toceven" > <td class="#doctools_tocleft" ><a name='sha256'><a href="files/modules/sha1/sha256.html">sha256</a></td> <td class="#doctools_tocright">SHA256 Message-Digest Algorithm</td> </tr> <tr class="#doctools_tocodd" > <td class="#doctools_tocleft" ><a name='simulation_annealing'><a href="files/modules/simulation/annealing.html">simulation::annealing</a></td> <td class="#doctools_tocright">Simulated annealing</td> </tr> <tr class="#doctools_toceven" > <td class="#doctools_tocleft" ><a name='simulation_montecarlo'><a href="files/modules/simulation/montecarlo.html">simulation::montecarlo</a></td> <td class="#doctools_tocright">Monte Carlo simulations</td> </tr> <tr class="#doctools_tocodd" > <td class="#doctools_tocleft" ><a name='simulation_random'><a href="files/modules/simulation/simulation_random.html">simulation::random</a></td> <td class="#doctools_tocright">Pseudo-random number generators</td> </tr> <tr class="#doctools_toceven" > <td class="#doctools_tocleft" ><a name='smtp'><a href="files/modules/mime/smtp.html">smtp</a></td> <td class="#doctools_tocright">Client-side tcl implementation of the smtp protocol</td> </tr> <tr class="#doctools_tocodd" > <td class="#doctools_tocleft" ><a name='smtpd'><a href="files/modules/smtpd/smtpd.html">smtpd</a></td> <td class="#doctools_tocright">Tcl SMTP server implementation</td> </tr> <tr class="#doctools_toceven" > <td class="#doctools_tocleft" ><a name='snit'><a href="files/modules/snit/snit.html">snit</a></td> <td class="#doctools_tocright">Snit's Not Incr Tcl</td> </tr> <tr class="#doctools_tocodd" > <td class="#doctools_tocleft" ><a name='snitfaq'><a href="files/modules/snit/snitfaq.html">snitfaq</a></td> <td class="#doctools_tocright">Snit Frequently Asked Questions</td> </tr> <tr class="#doctools_toceven" > <td class="#doctools_tocleft" ><a name='soundex'><a href="files/modules/soundex/soundex.html">soundex</a></td> <td class="#doctools_tocright">Soundex</td> </tr> <tr class="#doctools_tocodd" > <td class="#doctools_tocleft" ><a name='stooop'><a href="files/modules/stooop/stooop.html">stooop</a></td> <td class="#doctools_tocright">Object oriented extension.</td> </tr> <tr class="#doctools_toceven" > <td class="#doctools_tocleft" ><a name='string_token'><a href="files/modules/string/token.html">string::token</a></td> <td class="#doctools_tocright">Regex based iterative lexing</td> </tr> <tr class="#doctools_tocodd" > <td class="#doctools_tocleft" ><a name='string_token_shell'><a href="files/modules/string/token_shell.html">string::token::shell</a></td> <td class="#doctools_tocright">Parsing of shell command line</td> </tr> <tr class="#doctools_toceven" > <td class="#doctools_tocleft" ><a name='stringprep'><a href="files/modules/stringprep/stringprep.html">stringprep</a></td> <td class="#doctools_tocright">Implementation of stringprep</td> </tr> <tr class="#doctools_tocodd" > <td class="#doctools_tocleft" ><a name='stringprep_data'><a href="files/modules/stringprep/stringprep_data.html">stringprep::data</a></td> <td class="#doctools_tocright">stringprep data tables, generated, internal</td> </tr> <tr class="#doctools_toceven" > <td class="#doctools_tocleft" ><a name='struct_disjointset'><a href="files/modules/struct/disjointset.html">struct::disjointset</a></td> <td class="#doctools_tocright">Disjoint set data structure</td> </tr> <tr class="#doctools_tocodd" > <td class="#doctools_tocleft" ><a name='struct_graph'><a href="files/modules/struct/graph.html">struct::graph</a></td> <td class="#doctools_tocright">Create and manipulate directed graph objects</td> </tr> <tr class="#doctools_toceven" > <td class="#doctools_tocleft" ><a name='struct_graph_op'><a href="files/modules/struct/graphops.html">struct::graph::op</a></td> <td class="#doctools_tocright">Operation for (un)directed graph objects</td> </tr> <tr class="#doctools_tocodd" > <td class="#doctools_tocleft" ><a name='struct_graph_v1'><a href="files/modules/struct/graph1.html">struct::graph_v1</a></td> <td class="#doctools_tocright">Create and manipulate directed graph objects</td> </tr> <tr class="#doctools_toceven" > <td class="#doctools_tocleft" ><a name='struct_list'><a href="files/modules/struct/struct_list.html">struct::list</a></td> <td class="#doctools_tocright">Procedures for manipulating lists</td> </tr> <tr class="#doctools_tocodd" > <td class="#doctools_tocleft" ><a name='struct_map'><a href="files/modules/struct/struct_map.html">struct::map</a></td> <td class="#doctools_tocright">Manage key/value maps</td> </tr> <tr class="#doctools_toceven" > <td class="#doctools_tocleft" ><a name='struct_matrix'><a href="files/modules/struct/matrix.html">struct::matrix</a></td> <td class="#doctools_tocright">Create and manipulate matrix objects</td> </tr> <tr class="#doctools_tocodd" > <td class="#doctools_tocleft" ><a name='struct_matrix_v1'><a href="files/modules/struct/matrix1.html">struct::matrix_v1</a></td> <td class="#doctools_tocright">Create and manipulate matrix objects</td> </tr> <tr class="#doctools_toceven" > <td class="#doctools_tocleft" ><a name='struct_pool'><a href="files/modules/struct/pool.html">struct::pool</a></td> <td class="#doctools_tocright">Create and manipulate pool objects (of discrete items)</td> </tr> <tr class="#doctools_tocodd" > <td class="#doctools_tocleft" ><a name='struct_prioqueue'><a href="files/modules/struct/prioqueue.html">struct::prioqueue</a></td> <td class="#doctools_tocright">Create and manipulate prioqueue objects</td> </tr> <tr class="#doctools_toceven" > <td class="#doctools_tocleft" ><a name='struct_queue'><a href="files/modules/struct/queue.html">struct::queue</a></td> <td class="#doctools_tocright">Create and manipulate queue objects</td> </tr> <tr class="#doctools_tocodd" > <td class="#doctools_tocleft" ><a name='struct_record'><a href="files/modules/struct/record.html">struct::record</a></td> <td class="#doctools_tocright">Define and create records (similar to 'C' structures)</td> </tr> <tr class="#doctools_toceven" > <td class="#doctools_tocleft" ><a name='struct_set'><a href="files/modules/struct/struct_set.html">struct::set</a></td> <td class="#doctools_tocright">Procedures for manipulating sets</td> </tr> <tr class="#doctools_tocodd" > <td class="#doctools_tocleft" ><a name='struct_skiplist'><a href="files/modules/struct/skiplist.html">struct::skiplist</a></td> <td class="#doctools_tocright">Create and manipulate skiplists</td> </tr> <tr class="#doctools_toceven" > <td class="#doctools_tocleft" ><a name='struct_stack'><a href="files/modules/struct/stack.html">struct::stack</a></td> <td class="#doctools_tocright">Create and manipulate stack objects</td> </tr> <tr class="#doctools_tocodd" > <td class="#doctools_tocleft" ><a name='struct_tree'><a href="files/modules/struct/struct_tree.html">struct::tree</a></td> <td class="#doctools_tocright">Create and manipulate tree objects</td> </tr> <tr class="#doctools_toceven" > <td class="#doctools_tocleft" ><a name='struct_tree_v1'><a href="files/modules/struct/struct_tree1.html">struct::tree_v1</a></td> <td class="#doctools_tocright">Create and manipulate tree objects</td> </tr> <tr class="#doctools_tocodd" > <td class="#doctools_tocleft" ><a name='sum'><a href="files/modules/crc/sum.html">sum</a></td> <td class="#doctools_tocright">Calculate a sum(1) compatible checksum</td> </tr> <tr class="#doctools_toceven" > <td class="#doctools_tocleft" ><a name='switched'><a href="files/modules/stooop/switched.html">switched</a></td> <td class="#doctools_tocright">switch/option management.</td> </tr> <tr class="#doctools_tocodd" > <td class="#doctools_tocleft" ><a name='tar'><a href="files/modules/tar/tar.html">tar</a></td> <td class="#doctools_tocright">Tar file creation, extraction & manipulation</td> </tr> <tr class="#doctools_toceven" > <td class="#doctools_tocleft" ><a name='tcl_chan_cat'><a href="files/modules/virtchannel_base/cat.html">tcl::chan::cat</a></td> <td class="#doctools_tocright">Concatenation channel</td> </tr> <tr class="#doctools_tocodd" > <td class="#doctools_tocleft" ><a name='tcl_chan_core'><a href="files/modules/virtchannel_core/core.html">tcl::chan::core</a></td> <td class="#doctools_tocright">Basic reflected/virtual channel support</td> </tr> <tr class="#doctools_toceven" > <td class="#doctools_tocleft" ><a name='tcl_chan_events'><a href="files/modules/virtchannel_core/events.html">tcl::chan::events</a></td> <td class="#doctools_tocright">Event support for reflected/virtual channels</td> </tr> <tr class="#doctools_tocodd" > <td class="#doctools_tocleft" ><a name='tcl_chan_facade'><a href="files/modules/virtchannel_base/facade.html">tcl::chan::facade</a></td> <td class="#doctools_tocright">Facade channel</td> </tr> <tr class="#doctools_toceven" > <td class="#doctools_tocleft" ><a name='tcl_chan_fifo'><a href="files/modules/virtchannel_base/tcllib_fifo.html">tcl::chan::fifo</a></td> <td class="#doctools_tocright">In-memory fifo channel</td> </tr> <tr class="#doctools_tocodd" > <td class="#doctools_tocleft" ><a name='tcl_chan_fifo2'><a href="files/modules/virtchannel_base/tcllib_fifo2.html">tcl::chan::fifo2</a></td> <td class="#doctools_tocright">In-memory interconnected fifo channels</td> </tr> <tr class="#doctools_toceven" > <td class="#doctools_tocleft" ><a name='tcl_chan_halfpipe'><a href="files/modules/virtchannel_base/halfpipe.html">tcl::chan::halfpipe</a></td> <td class="#doctools_tocright">In-memory channel, half of a fifo2</td> </tr> <tr class="#doctools_tocodd" > <td class="#doctools_tocleft" ><a name='tcl_chan_memchan'><a href="files/modules/virtchannel_base/tcllib_memchan.html">tcl::chan::memchan</a></td> <td class="#doctools_tocright">In-memory channel</td> </tr> <tr class="#doctools_toceven" > <td class="#doctools_tocleft" ><a name='tcl_chan_null'><a href="files/modules/virtchannel_base/tcllib_null.html">tcl::chan::null</a></td> <td class="#doctools_tocright">Null channel</td> </tr> <tr class="#doctools_tocodd" > <td class="#doctools_tocleft" ><a name='tcl_chan_nullzero'><a href="files/modules/virtchannel_base/nullzero.html">tcl::chan::nullzero</a></td> <td class="#doctools_tocright">Null/Zero channel combination</td> </tr> <tr class="#doctools_toceven" > <td class="#doctools_tocleft" ><a name='tcl_chan_random'><a href="files/modules/virtchannel_base/tcllib_random.html">tcl::chan::random</a></td> <td class="#doctools_tocright">Random channel</td> </tr> <tr class="#doctools_tocodd" > <td class="#doctools_tocleft" ><a name='tcl_chan_std'><a href="files/modules/virtchannel_base/std.html">tcl::chan::std</a></td> <td class="#doctools_tocright">Standard I/O, unification of stdin and stdout</td> </tr> <tr class="#doctools_toceven" > <td class="#doctools_tocleft" ><a name='tcl_chan_string'><a href="files/modules/virtchannel_base/tcllib_string.html">tcl::chan::string</a></td> <td class="#doctools_tocright">Read-only in-memory channel</td> </tr> <tr class="#doctools_tocodd" > <td class="#doctools_tocleft" ><a name='tcl_chan_textwindow'><a href="files/modules/virtchannel_base/textwindow.html">tcl::chan::textwindow</a></td> <td class="#doctools_tocright">Textwindow channel</td> </tr> <tr class="#doctools_toceven" > <td class="#doctools_tocleft" ><a name='tcl_chan_variable'><a href="files/modules/virtchannel_base/tcllib_variable.html">tcl::chan::variable</a></td> <td class="#doctools_tocright">In-memory channel using variable for storage</td> </tr> <tr class="#doctools_tocodd" > <td class="#doctools_tocleft" ><a name='tcl_chan_zero'><a href="files/modules/virtchannel_base/tcllib_zero.html">tcl::chan::zero</a></td> <td class="#doctools_tocright">Zero channel</td> </tr> <tr class="#doctools_toceven" > <td class="#doctools_tocleft" ><a name='tcl_randomseed'><a href="files/modules/virtchannel_base/randseed.html">tcl::randomseed</a></td> <td class="#doctools_tocright">Utilities for random channels</td> </tr> <tr class="#doctools_tocodd" > <td class="#doctools_tocleft" ><a name='tcl_transform_adler32'><a href="files/modules/virtchannel_transform/adler32.html">tcl::transform::adler32</a></td> <td class="#doctools_tocright">Adler32 transformation</td> </tr> <tr class="#doctools_toceven" > <td class="#doctools_tocleft" ><a name='tcl_transform_base64'><a href="files/modules/virtchannel_transform/vt_base64.html">tcl::transform::base64</a></td> <td class="#doctools_tocright">Base64 encoding transformation</td> </tr> <tr class="#doctools_tocodd" > <td class="#doctools_tocleft" ><a name='tcl_transform_core'><a href="files/modules/virtchannel_core/transformcore.html">tcl::transform::core</a></td> <td class="#doctools_tocright">Basic reflected/virtual channel transform support</td> </tr> <tr class="#doctools_toceven" > <td class="#doctools_tocleft" ><a name='tcl_transform_counter'><a href="files/modules/virtchannel_transform/vt_counter.html">tcl::transform::counter</a></td> <td class="#doctools_tocright">Counter transformation</td> </tr> <tr class="#doctools_tocodd" > <td class="#doctools_tocleft" ><a name='tcl_transform_crc32'><a href="files/modules/virtchannel_transform/vt_crc32.html">tcl::transform::crc32</a></td> <td class="#doctools_tocright">Crc32 transformation</td> </tr> <tr class="#doctools_toceven" > <td class="#doctools_tocleft" ><a name='tcl_transform_hex'><a href="files/modules/virtchannel_transform/hex.html">tcl::transform::hex</a></td> <td class="#doctools_tocright">Hexadecimal encoding transformation</td> </tr> <tr class="#doctools_tocodd" > <td class="#doctools_tocleft" ><a name='tcl_transform_identity'><a href="files/modules/virtchannel_transform/identity.html">tcl::transform::identity</a></td> <td class="#doctools_tocright">Identity transformation</td> </tr> <tr class="#doctools_toceven" > <td class="#doctools_tocleft" ><a name='tcl_transform_limitsize'><a href="files/modules/virtchannel_transform/limitsize.html">tcl::transform::limitsize</a></td> <td class="#doctools_tocright">limiting input</td> </tr> <tr class="#doctools_tocodd" > <td class="#doctools_tocleft" ><a name='tcl_transform_observe'><a href="files/modules/virtchannel_transform/observe.html">tcl::transform::observe</a></td> <td class="#doctools_tocright">Observer transformation, stream copy</td> </tr> <tr class="#doctools_toceven" > <td class="#doctools_tocleft" ><a name='tcl_transform_otp'><a href="files/modules/virtchannel_transform/vt_otp.html">tcl::transform::otp</a></td> <td class="#doctools_tocright">Encryption via one-time pad</td> </tr> <tr class="#doctools_tocodd" > <td class="#doctools_tocleft" ><a name='tcl_transform_rot'><a href="files/modules/virtchannel_transform/rot.html">tcl::transform::rot</a></td> <td class="#doctools_tocright">rot-encryption</td> </tr> <tr class="#doctools_toceven" > <td class="#doctools_tocleft" ><a name='tcl_transform_spacer'><a href="files/modules/virtchannel_transform/spacer.html">tcl::transform::spacer</a></td> <td class="#doctools_tocright">Space insertation and removal</td> </tr> <tr class="#doctools_tocodd" > <td class="#doctools_tocleft" ><a name='tcl_transform_zlib'><a href="files/modules/virtchannel_transform/tcllib_zlib.html">tcl::transform::zlib</a></td> <td class="#doctools_tocright">zlib (de)compression</td> </tr> <tr class="#doctools_toceven" > <td class="#doctools_tocleft" ><a name='tcldes'><a href="files/modules/des/tcldes.html">tclDES</a></td> <td class="#doctools_tocright">Implementation of the DES and triple-DES ciphers</td> </tr> <tr class="#doctools_tocodd" > <td class="#doctools_tocleft" ><a name='tcldesjr'><a href="files/modules/des/tcldesjr.html">tclDESjr</a></td> <td class="#doctools_tocright">Implementation of the DES and triple-DES ciphers</td> </tr> <tr class="#doctools_toceven" > <td class="#doctools_tocleft" ><a name='tcldocstrip'><a href="files/apps/tcldocstrip.html">tcldocstrip</a></td> <td class="#doctools_tocright">Tcl-based Docstrip Processor</td> </tr> <tr class="#doctools_tocodd" > <td class="#doctools_tocleft" ><a name='tcllib_ip'><a href="files/modules/dns/tcllib_ip.html">tcllib_ip</a></td> <td class="#doctools_tocright">IPv4 and IPv6 address manipulation</td> </tr> <tr class="#doctools_toceven" > <td class="#doctools_tocleft" ><a name='tclrep_machineparameters'><a href="files/modules/math/machineparameters.html">tclrep/machineparameters</a></td> <td class="#doctools_tocright">Compute double precision machine parameters.</td> </tr> <tr class="#doctools_tocodd" > <td class="#doctools_tocleft" ><a name='tepam'><a href="files/modules/tepam/tepam_introduction.html">tepam</a></td> <td class="#doctools_tocright">An introduction into TEPAM, Tcl's Enhanced Procedure and Argument Manager</td> </tr> <tr class="#doctools_toceven" > <td class="#doctools_tocleft" ><a name='tepam_argument_dialogbox'><a href="files/modules/tepam/tepam_argument_dialogbox.html">tepam::argument_dialogbox</a></td> <td class="#doctools_tocright">TEPAM argument_dialogbox, reference manual</td> </tr> <tr class="#doctools_tocodd" > <td class="#doctools_tocleft" ><a name='tepam_doc_gen'><a href="files/modules/tepam/tepam_doc_gen.html">tepam::doc_gen</a></td> <td class="#doctools_tocright">TEPAM DOC Generation, reference manual</td> </tr> <tr class="#doctools_toceven" > <td class="#doctools_tocleft" ><a name='tepam_procedure'><a href="files/modules/tepam/tepam_procedure.html">tepam::procedure</a></td> <td class="#doctools_tocright">TEPAM procedure, reference manual</td> </tr> <tr class="#doctools_tocodd" > <td class="#doctools_tocleft" ><a name='term'><a href="files/modules/term/term.html">term</a></td> <td class="#doctools_tocright">General terminal control</td> </tr> <tr class="#doctools_toceven" > <td class="#doctools_tocleft" ><a name='term_ansi_code'><a href="files/modules/term/ansi_code.html">term::ansi::code</a></td> <td class="#doctools_tocright">Helper for control sequences</td> </tr> <tr class="#doctools_tocodd" > <td class="#doctools_tocleft" ><a name='term_ansi_code_attr'><a href="files/modules/term/ansi_cattr.html">term::ansi::code::attr</a></td> <td class="#doctools_tocright">ANSI attribute sequences</td> </tr> <tr class="#doctools_toceven" > <td class="#doctools_tocleft" ><a name='term_ansi_code_ctrl'><a href="files/modules/term/ansi_cctrl.html">term::ansi::code::ctrl</a></td> <td class="#doctools_tocright">ANSI control sequences</td> </tr> <tr class="#doctools_tocodd" > <td class="#doctools_tocleft" ><a name='term_ansi_code_macros'><a href="files/modules/term/ansi_cmacros.html">term::ansi::code::macros</a></td> <td class="#doctools_tocright">Macro sequences</td> </tr> <tr class="#doctools_toceven" > <td class="#doctools_tocleft" ><a name='term_ansi_ctrl_unix'><a href="files/modules/term/ansi_ctrlu.html">term::ansi::ctrl::unix</a></td> <td class="#doctools_tocright">Control operations and queries</td> </tr> <tr class="#doctools_tocodd" > <td class="#doctools_tocleft" ><a name='term_ansi_send'><a href="files/modules/term/ansi_send.html">term::ansi::send</a></td> <td class="#doctools_tocright">Output of ANSI control sequences to terminals</td> </tr> <tr class="#doctools_toceven" > <td class="#doctools_tocleft" ><a name='term_interact_menu'><a href="files/modules/term/imenu.html">term::interact::menu</a></td> <td class="#doctools_tocright">Terminal widget, menu</td> </tr> <tr class="#doctools_tocodd" > <td class="#doctools_tocleft" ><a name='term_interact_pager'><a href="files/modules/term/ipager.html">term::interact::pager</a></td> <td class="#doctools_tocright">Terminal widget, paging</td> </tr> <tr class="#doctools_toceven" > <td class="#doctools_tocleft" ><a name='term_receive'><a href="files/modules/term/receive.html">term::receive</a></td> <td class="#doctools_tocright">General input from terminals</td> </tr> <tr class="#doctools_tocodd" > <td class="#doctools_tocleft" ><a name='term_receive_bind'><a href="files/modules/term/term_bind.html">term::receive::bind</a></td> <td class="#doctools_tocright">Keyboard dispatch from terminals</td> </tr> <tr class="#doctools_toceven" > <td class="#doctools_tocleft" ><a name='term_send'><a href="files/modules/term/term_send.html">term::send</a></td> <td class="#doctools_tocright">General output to terminals</td> </tr> <tr class="#doctools_tocodd" > <td class="#doctools_tocleft" ><a name='textutil'><a href="files/modules/textutil/textutil.html">textutil</a></td> <td class="#doctools_tocright">Procedures to manipulate texts and strings.</td> </tr> <tr class="#doctools_toceven" > <td class="#doctools_tocleft" ><a name='textutil_adjust'><a href="files/modules/textutil/adjust.html">textutil::adjust</a></td> <td class="#doctools_tocright">Procedures to adjust, indent, and undent paragraphs</td> </tr> <tr class="#doctools_tocodd" > <td class="#doctools_tocleft" ><a name='textutil_expander'><a href="files/modules/textutil/expander.html">textutil::expander</a></td> <td class="#doctools_tocright">Procedures to process templates and expand text.</td> </tr> <tr class="#doctools_toceven" > <td class="#doctools_tocleft" ><a name='textutil_repeat'><a href="files/modules/textutil/repeat.html">textutil::repeat</a></td> <td class="#doctools_tocright">Procedures to repeat strings.</td> </tr> <tr class="#doctools_tocodd" > <td class="#doctools_tocleft" ><a name='textutil_split'><a href="files/modules/textutil/textutil_split.html">textutil::split</a></td> <td class="#doctools_tocright">Procedures to split texts</td> </tr> <tr class="#doctools_toceven" > <td class="#doctools_tocleft" ><a name='textutil_string'><a href="files/modules/textutil/textutil_string.html">textutil::string</a></td> <td class="#doctools_tocright">Procedures to manipulate texts and strings.</td> </tr> <tr class="#doctools_tocodd" > <td class="#doctools_tocleft" ><a name='textutil_tabify'><a href="files/modules/textutil/tabify.html">textutil::tabify</a></td> <td class="#doctools_tocright">Procedures to (un)tabify strings</td> </tr> <tr class="#doctools_toceven" > <td class="#doctools_tocleft" ><a name='textutil_trim'><a href="files/modules/textutil/trim.html">textutil::trim</a></td> <td class="#doctools_tocright">Procedures to trim strings</td> </tr> <tr class="#doctools_tocodd" > <td class="#doctools_tocleft" ><a name='throw'><a href="files/modules/try/tcllib_throw.html">throw</a></td> <td class="#doctools_tocright">throw - Throw an error exception with a message</td> </tr> <tr class="#doctools_toceven" > <td class="#doctools_tocleft" ><a name='tie'><a href="files/modules/tie/tie_std.html">tie</a></td> <td class="#doctools_tocright">Array persistence, standard data sources</td> </tr> <tr class="#doctools_tocodd" > <td class="#doctools_tocleft" ><a name='tie'><a href="files/modules/tie/tie.html">tie</a></td> <td class="#doctools_tocright">Array persistence</td> </tr> <tr class="#doctools_toceven" > <td class="#doctools_tocleft" ><a name='tiff'><a href="files/modules/tiff/tiff.html">tiff</a></td> <td class="#doctools_tocright">TIFF reading, writing, and querying and manipulation of meta data</td> </tr> <tr class="#doctools_tocodd" > <td class="#doctools_tocleft" ><a name='tool'><a href="files/modules/httpd/httpd.html">tool</a></td> <td class="#doctools_tocright">A TclOO and coroutine based web server</td> </tr> <tr class="#doctools_toceven" > <td class="#doctools_tocleft" ><a name='tool'><a href="files/modules/tool/tool.html">tool</a></td> <td class="#doctools_tocright">TclOO Library (TOOL) Framework</td> </tr> <tr class="#doctools_tocodd" > <td class="#doctools_tocleft" ><a name='tool_dict_ensemble'><a href="files/modules/tool/tool_dict_ensemble.html">tool::dict_ensemble</a></td> <td class="#doctools_tocright">Dictionary Tools</td> </tr> <tr class="#doctools_toceven" > <td class="#doctools_tocleft" ><a name='transfer_connect'><a href="files/modules/transfer/connect.html">transfer::connect</a></td> <td class="#doctools_tocright">Connection setup</td> </tr> <tr class="#doctools_tocodd" > <td class="#doctools_tocleft" ><a name='transfer_copy'><a href="files/modules/transfer/copyops.html">transfer::copy</a></td> <td class="#doctools_tocright">Data transfer foundation</td> </tr> <tr class="#doctools_toceven" > <td class="#doctools_tocleft" ><a name='transfer_copy_queue'><a href="files/modules/transfer/tqueue.html">transfer::copy::queue</a></td> <td class="#doctools_tocright">Queued transfers</td> </tr> <tr class="#doctools_tocodd" > <td class="#doctools_tocleft" ><a name='transfer_data_destination'><a href="files/modules/transfer/ddest.html">transfer::data::destination</a></td> <td class="#doctools_tocright">Data destination</td> </tr> <tr class="#doctools_toceven" > <td class="#doctools_tocleft" ><a name='transfer_data_source'><a href="files/modules/transfer/dsource.html">transfer::data::source</a></td> <td class="#doctools_tocright">Data source</td> </tr> <tr class="#doctools_tocodd" > <td class="#doctools_tocleft" ><a name='transfer_receiver'><a href="files/modules/transfer/receiver.html">transfer::receiver</a></td> <td class="#doctools_tocright">Data source</td> </tr> <tr class="#doctools_toceven" > <td class="#doctools_tocleft" ><a name='transfer_transmitter'><a href="files/modules/transfer/transmitter.html">transfer::transmitter</a></td> <td class="#doctools_tocright">Data source</td> </tr> <tr class="#doctools_tocodd" > <td class="#doctools_tocleft" ><a name='treeql'><a href="files/modules/treeql/treeql.html">treeql</a></td> <td class="#doctools_tocright">Query tree objects</td> </tr> <tr class="#doctools_toceven" > <td class="#doctools_tocleft" ><a name='try'><a href="files/modules/try/tcllib_try.html">try</a></td> <td class="#doctools_tocright">try - Trap and process errors and exceptions</td> </tr> <tr class="#doctools_tocodd" > <td class="#doctools_tocleft" ><a name='udpcluster'><a href="files/modules/udpcluster/udpcluster.html">udpcluster</a></td> <td class="#doctools_tocright">UDP Peer-to-Peer cluster</td> </tr> <tr class="#doctools_toceven" > <td class="#doctools_tocleft" ><a name='uevent'><a href="files/modules/uev/uevent.html">uevent</a></td> <td class="#doctools_tocright">User events</td> </tr> <tr class="#doctools_tocodd" > <td class="#doctools_tocleft" ><a name='uevent_onidle'><a href="files/modules/uev/uevent_onidle.html">uevent::onidle</a></td> <td class="#doctools_tocright">Request merging and deferal to idle time</td> </tr> <tr class="#doctools_toceven" > <td class="#doctools_tocleft" ><a name='unicode'><a href="files/modules/stringprep/unicode.html">unicode</a></td> <td class="#doctools_tocright">Implementation of Unicode normalization</td> </tr> <tr class="#doctools_tocodd" > <td class="#doctools_tocleft" ><a name='unicode_data'><a href="files/modules/stringprep/unicode_data.html">unicode::data</a></td> <td class="#doctools_tocright">unicode data tables, generated, internal</td> </tr> <tr class="#doctools_toceven" > <td class="#doctools_tocleft" ><a name='units'><a href="files/modules/units/units.html">units</a></td> <td class="#doctools_tocright">unit conversion</td> </tr> <tr class="#doctools_tocodd" > <td class="#doctools_tocleft" ><a name='uri'><a href="files/modules/uri/uri.html">uri</a></td> <td class="#doctools_tocright">URI utilities</td> </tr> <tr class="#doctools_toceven" > <td class="#doctools_tocleft" ><a name='uri_urn'><a href="files/modules/uri/urn-scheme.html">uri_urn</a></td> <td class="#doctools_tocright">URI utilities, URN scheme</td> </tr> <tr class="#doctools_tocodd" > <td class="#doctools_tocleft" ><a name='uuencode'><a href="files/modules/base64/uuencode.html">uuencode</a></td> <td class="#doctools_tocright">UU-encode/decode binary data</td> </tr> <tr class="#doctools_toceven" > <td class="#doctools_tocleft" ><a name='uuid'><a href="files/modules/uuid/uuid.html">uuid</a></td> <td class="#doctools_tocright">UUID generation and comparison</td> </tr> <tr class="#doctools_tocodd" > <td class="#doctools_tocleft" ><a name='valtype_common'><a href="files/modules/valtype/valtype_common.html">valtype::common</a></td> <td class="#doctools_tocright">Validation, common code</td> </tr> <tr class="#doctools_toceven" > <td class="#doctools_tocleft" ><a name='valtype_creditcard_amex'><a href="files/modules/valtype/cc_amex.html">valtype::creditcard::amex</a></td> <td class="#doctools_tocright">Validation for AMEX creditcard number</td> </tr> <tr class="#doctools_tocodd" > <td class="#doctools_tocleft" ><a name='valtype_creditcard_discover'><a href="files/modules/valtype/cc_discover.html">valtype::creditcard::discover</a></td> <td class="#doctools_tocright">Validation for Discover creditcard number</td> </tr> <tr class="#doctools_toceven" > <td class="#doctools_tocleft" ><a name='valtype_creditcard_mastercard'><a href="files/modules/valtype/cc_mastercard.html">valtype::creditcard::mastercard</a></td> <td class="#doctools_tocright">Validation for Mastercard creditcard number</td> </tr> <tr class="#doctools_tocodd" > <td class="#doctools_tocleft" ><a name='valtype_creditcard_visa'><a href="files/modules/valtype/cc_visa.html">valtype::creditcard::visa</a></td> <td class="#doctools_tocright">Validation for VISA creditcard number</td> </tr> <tr class="#doctools_toceven" > <td class="#doctools_tocleft" ><a name='valtype_gs1_ean13'><a href="files/modules/valtype/ean13.html">valtype::gs1::ean13</a></td> <td class="#doctools_tocright">Validation for EAN13</td> </tr> <tr class="#doctools_tocodd" > <td class="#doctools_tocleft" ><a name='valtype_iban'><a href="files/modules/valtype/iban.html">valtype::iban</a></td> <td class="#doctools_tocright">Validation for IBAN</td> </tr> <tr class="#doctools_toceven" > <td class="#doctools_tocleft" ><a name='valtype_imei'><a href="files/modules/valtype/imei.html">valtype::imei</a></td> <td class="#doctools_tocright">Validation for IMEI</td> </tr> <tr class="#doctools_tocodd" > <td class="#doctools_tocleft" ><a name='valtype_isbn'><a href="files/modules/valtype/isbn.html">valtype::isbn</a></td> <td class="#doctools_tocright">Validation for ISBN</td> </tr> <tr class="#doctools_toceven" > <td class="#doctools_tocleft" ><a name='valtype_luhn'><a href="files/modules/valtype/luhn.html">valtype::luhn</a></td> <td class="#doctools_tocright">Validation for plain number with a LUHN checkdigit</td> </tr> <tr class="#doctools_tocodd" > <td class="#doctools_tocleft" ><a name='valtype_luhn5'><a href="files/modules/valtype/luhn5.html">valtype::luhn5</a></td> <td class="#doctools_tocright">Validation for plain number with a LUHN5 checkdigit</td> </tr> <tr class="#doctools_toceven" > <td class="#doctools_tocleft" ><a name='valtype_usnpi'><a href="files/modules/valtype/usnpi.html">valtype::usnpi</a></td> <td class="#doctools_tocright">Validation for USNPI</td> </tr> <tr class="#doctools_tocodd" > <td class="#doctools_tocleft" ><a name='valtype_verhoeff'><a href="files/modules/valtype/verhoeff.html">valtype::verhoeff</a></td> <td class="#doctools_tocright">Validation for plain number with a VERHOEFF checkdigit</td> </tr> <tr class="#doctools_toceven" > <td class="#doctools_tocleft" ><a name='websocket'><a href="files/modules/websocket/websocket.html">websocket</a></td> <td class="#doctools_tocright">Tcl implementation of the websocket protocol</td> </tr> <tr class="#doctools_tocodd" > <td class="#doctools_tocleft" ><a name='wip'><a href="files/modules/wip/wip.html">wip</a></td> <td class="#doctools_tocright">Word Interpreter</td> </tr> <tr class="#doctools_toceven" > <td class="#doctools_tocleft" ><a name='xsxp'><a href="files/modules/amazon-s3/xsxp.html">xsxp</a></td> <td class="#doctools_tocright">eXtremely Simple Xml Parser</td> </tr> <tr class="#doctools_tocodd" > <td class="#doctools_tocleft" ><a name='yaml'><a href="files/modules/yaml/yaml.html">yaml</a></td> <td class="#doctools_tocright">YAML Format Encoder/Decoder</td> </tr> <tr class="#doctools_toceven" > <td class="#doctools_tocleft" ><a name='yencode'><a href="files/modules/base64/yencode.html">yencode</a></td> <td class="#doctools_tocright">Y-encode/decode binary data</td> </tr> <tr class="#doctools_tocodd" > <td class="#doctools_tocleft" ><a name='zipfile_decode'><a href="files/modules/zip/decode.html">zipfile::decode</a></td> <td class="#doctools_tocright">Access to zip archives</td> </tr> <tr class="#doctools_toceven" > <td class="#doctools_tocleft" ><a name='zipfile_encode'><a href="files/modules/zip/encode.html">zipfile::encode</a></td> <td class="#doctools_tocright">Generation of zip archives</td> </tr> <tr class="#doctools_tocodd" > <td class="#doctools_tocleft" ><a name='zipfile_mkzip'><a href="files/modules/zip/mkzip.html">zipfile::mkzip</a></td> <td class="#doctools_tocright">Build a zip archive</td> </tr> </table> </dd></dl><hr></body></html> |
Changes to idoc/www/toc.html.
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795 796 797 798 799 800 801 802 803 804 | <td class="#doctools_tocright">Package for Principal Component Analysis</td> </tr> <tr class="#doctools_toceven" > <td class="#doctools_tocleft" ><a name='math_polynomials'><a href="tcllib/files/modules/math/polynomials.html">math::polynomials</a></td> <td class="#doctools_tocright">Polynomial functions</td> </tr> <tr class="#doctools_tocodd" > <td class="#doctools_tocleft" ><a name='math_rationalfunctions'><a href="tcllib/files/modules/math/rational_funcs.html">math::rationalfunctions</a></td> <td class="#doctools_tocright">Polynomial functions</td> </tr> | > > > > | | | | | | | | 795 796 797 798 799 800 801 802 803 804 805 806 807 808 809 810 811 812 813 814 815 816 817 818 819 820 821 822 823 824 825 826 827 828 829 830 831 832 833 834 835 836 837 838 839 840 | <td class="#doctools_tocright">Package for Principal Component Analysis</td> </tr> <tr class="#doctools_toceven" > <td class="#doctools_tocleft" ><a name='math_polynomials'><a href="tcllib/files/modules/math/polynomials.html">math::polynomials</a></td> <td class="#doctools_tocright">Polynomial functions</td> </tr> <tr class="#doctools_tocodd" > <td class="#doctools_tocleft" ><a name='math_quasirandom'><a href="tcllib/files/modules/math/quasirandom.html">math::quasirandom</a></td> <td class="#doctools_tocright">Quasi-random points for integration and Monte Carlo type methods</td> </tr> <tr class="#doctools_toceven" > <td class="#doctools_tocleft" ><a name='math_rationalfunctions'><a href="tcllib/files/modules/math/rational_funcs.html">math::rationalfunctions</a></td> <td class="#doctools_tocright">Polynomial functions</td> </tr> <tr class="#doctools_tocodd" > <td class="#doctools_tocleft" ><a name='math_roman'><a href="tcllib/files/modules/math/roman.html">math::roman</a></td> <td class="#doctools_tocright">Tools for creating and manipulating roman numerals</td> </tr> <tr class="#doctools_toceven" > <td class="#doctools_tocleft" ><a name='math_special'><a href="tcllib/files/modules/math/special.html">math::special</a></td> <td class="#doctools_tocright">Special mathematical functions</td> </tr> <tr class="#doctools_tocodd" > <td class="#doctools_tocleft" ><a name='math_statistics'><a href="tcllib/files/modules/math/statistics.html">math::statistics</a></td> <td class="#doctools_tocright">Basic statistical functions and procedures</td> </tr> <tr class="#doctools_toceven" > <td class="#doctools_tocleft" ><a name='math_trig'><a href="tcllib/files/modules/math/trig.html">math::trig</a></td> <td class="#doctools_tocright">Trigonometric anf hyperbolic functions</td> </tr> <tr class="#doctools_tocodd" > <td class="#doctools_tocleft" ><a name='simulation_annealing'><a href="tcllib/files/modules/simulation/annealing.html">simulation::annealing</a></td> <td class="#doctools_tocright">Simulated annealing</td> </tr> <tr class="#doctools_toceven" > <td class="#doctools_tocleft" ><a name='simulation_montecarlo'><a href="tcllib/files/modules/simulation/montecarlo.html">simulation::montecarlo</a></td> <td class="#doctools_tocright">Monte Carlo simulations</td> </tr> <tr class="#doctools_tocodd" > <td class="#doctools_tocleft" ><a name='simulation_random'><a href="tcllib/files/modules/simulation/simulation_random.html">simulation::random</a></td> <td class="#doctools_tocright">Pseudo-random number generators</td> </tr> </table></dl> <dl><dt><a name='networking'>Networking</dt><dd> <table class="#doctools_toc"> <tr class="#doctools_toceven" > |
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2817 2818 2819 2820 2821 2822 2823 2824 2825 2826 | <td class="#doctools_tocright">Package for Principal Component Analysis</td> </tr> <tr class="#doctools_tocodd" > <td class="#doctools_tocleft" ><a name='math_polynomials'><a href="tcllib/files/modules/math/polynomials.html">math::polynomials</a></td> <td class="#doctools_tocright">Polynomial functions</td> </tr> <tr class="#doctools_toceven" > <td class="#doctools_tocleft" ><a name='math_rationalfunctions'><a href="tcllib/files/modules/math/rational_funcs.html">math::rationalfunctions</a></td> <td class="#doctools_tocright">Polynomial functions</td> </tr> | > > > > | | | | | | 2821 2822 2823 2824 2825 2826 2827 2828 2829 2830 2831 2832 2833 2834 2835 2836 2837 2838 2839 2840 2841 2842 2843 2844 2845 2846 2847 2848 2849 2850 2851 2852 2853 2854 2855 2856 2857 2858 | <td class="#doctools_tocright">Package for Principal Component Analysis</td> </tr> <tr class="#doctools_tocodd" > <td class="#doctools_tocleft" ><a name='math_polynomials'><a href="tcllib/files/modules/math/polynomials.html">math::polynomials</a></td> <td class="#doctools_tocright">Polynomial functions</td> </tr> <tr class="#doctools_toceven" > <td class="#doctools_tocleft" ><a name='math_quasirandom'><a href="tcllib/files/modules/math/quasirandom.html">math::quasirandom</a></td> <td class="#doctools_tocright">Quasi-random points for integration and Monte Carlo type methods</td> </tr> <tr class="#doctools_tocodd" > <td class="#doctools_tocleft" ><a name='math_rationalfunctions'><a href="tcllib/files/modules/math/rational_funcs.html">math::rationalfunctions</a></td> <td class="#doctools_tocright">Polynomial functions</td> </tr> <tr class="#doctools_toceven" > <td class="#doctools_tocleft" ><a name='math_roman'><a href="tcllib/files/modules/math/roman.html">math::roman</a></td> <td class="#doctools_tocright">Tools for creating and manipulating roman numerals</td> </tr> <tr class="#doctools_tocodd" > <td class="#doctools_tocleft" ><a name='math_special'><a href="tcllib/files/modules/math/special.html">math::special</a></td> <td class="#doctools_tocright">Special mathematical functions</td> </tr> <tr class="#doctools_toceven" > <td class="#doctools_tocleft" ><a name='math_statistics'><a href="tcllib/files/modules/math/statistics.html">math::statistics</a></td> <td class="#doctools_tocright">Basic statistical functions and procedures</td> </tr> <tr class="#doctools_tocodd" > <td class="#doctools_tocleft" ><a name='math_trig'><a href="tcllib/files/modules/math/trig.html">math::trig</a></td> <td class="#doctools_tocright">Trigonometric anf hyperbolic functions</td> </tr> <tr class="#doctools_toceven" > <td class="#doctools_tocleft" ><a name='tclrep_machineparameters'><a href="tcllib/files/modules/math/machineparameters.html">tclrep/machineparameters</a></td> <td class="#doctools_tocright">Compute double precision machine parameters.</td> </tr> </table></dl> <dl><dt><a name='md4'>md4</dt><dd> <table class="#doctools_toc"> <tr class="#doctools_toceven" > |
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795 796 797 798 799 800 801 802 803 804 | <td class="#doctools_tocright">Package for Principal Component Analysis</td> </tr> <tr class="#doctools_toceven" > <td class="#doctools_tocleft" ><a name='math_polynomials'><a href="tcllib/files/modules/math/polynomials.html">math::polynomials</a></td> <td class="#doctools_tocright">Polynomial functions</td> </tr> <tr class="#doctools_tocodd" > <td class="#doctools_tocleft" ><a name='math_rationalfunctions'><a href="tcllib/files/modules/math/rational_funcs.html">math::rationalfunctions</a></td> <td class="#doctools_tocright">Polynomial functions</td> </tr> | > > > > | | | | | | | | 795 796 797 798 799 800 801 802 803 804 805 806 807 808 809 810 811 812 813 814 815 816 817 818 819 820 821 822 823 824 825 826 827 828 829 830 831 832 833 834 835 836 837 838 839 840 | <td class="#doctools_tocright">Package for Principal Component Analysis</td> </tr> <tr class="#doctools_toceven" > <td class="#doctools_tocleft" ><a name='math_polynomials'><a href="tcllib/files/modules/math/polynomials.html">math::polynomials</a></td> <td class="#doctools_tocright">Polynomial functions</td> </tr> <tr class="#doctools_tocodd" > <td class="#doctools_tocleft" ><a name='math_quasirandom'><a href="tcllib/files/modules/math/quasirandom.html">math::quasirandom</a></td> <td class="#doctools_tocright">Quasi-random points for integration and Monte Carlo type methods</td> </tr> <tr class="#doctools_toceven" > <td class="#doctools_tocleft" ><a name='math_rationalfunctions'><a href="tcllib/files/modules/math/rational_funcs.html">math::rationalfunctions</a></td> <td class="#doctools_tocright">Polynomial functions</td> </tr> <tr class="#doctools_tocodd" > <td class="#doctools_tocleft" ><a name='math_roman'><a href="tcllib/files/modules/math/roman.html">math::roman</a></td> <td class="#doctools_tocright">Tools for creating and manipulating roman numerals</td> </tr> <tr class="#doctools_toceven" > <td class="#doctools_tocleft" ><a name='math_special'><a href="tcllib/files/modules/math/special.html">math::special</a></td> <td class="#doctools_tocright">Special mathematical functions</td> </tr> <tr class="#doctools_tocodd" > <td class="#doctools_tocleft" ><a name='math_statistics'><a href="tcllib/files/modules/math/statistics.html">math::statistics</a></td> <td class="#doctools_tocright">Basic statistical functions and procedures</td> </tr> <tr class="#doctools_toceven" > <td class="#doctools_tocleft" ><a name='math_trig'><a href="tcllib/files/modules/math/trig.html">math::trig</a></td> <td class="#doctools_tocright">Trigonometric anf hyperbolic functions</td> </tr> <tr class="#doctools_tocodd" > <td class="#doctools_tocleft" ><a name='simulation_annealing'><a href="tcllib/files/modules/simulation/annealing.html">simulation::annealing</a></td> <td class="#doctools_tocright">Simulated annealing</td> </tr> <tr class="#doctools_toceven" > <td class="#doctools_tocleft" ><a name='simulation_montecarlo'><a href="tcllib/files/modules/simulation/montecarlo.html">simulation::montecarlo</a></td> <td class="#doctools_tocright">Monte Carlo simulations</td> </tr> <tr class="#doctools_tocodd" > <td class="#doctools_tocleft" ><a name='simulation_random'><a href="tcllib/files/modules/simulation/simulation_random.html">simulation::random</a></td> <td class="#doctools_tocright">Pseudo-random number generators</td> </tr> </table></dl> <dl><dt><a name='networking'>Networking</dt><dd> <table class="#doctools_toc"> <tr class="#doctools_toceven" > |
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975 976 977 978 979 980 981 982 983 984 | <td class="#doctools_tocright">Package for Principal Component Analysis</td> </tr> <tr class="#doctools_tocodd" > <td class="#doctools_tocleft" ><a name='math_polynomials'><a href="tcllib/files/modules/math/polynomials.html">math::polynomials</a></td> <td class="#doctools_tocright">Polynomial functions</td> </tr> <tr class="#doctools_toceven" > <td class="#doctools_tocleft" ><a name='math_rationalfunctions'><a href="tcllib/files/modules/math/rational_funcs.html">math::rationalfunctions</a></td> <td class="#doctools_tocright">Polynomial functions</td> </tr> | > > > > | | | | | | 975 976 977 978 979 980 981 982 983 984 985 986 987 988 989 990 991 992 993 994 995 996 997 998 999 1000 1001 1002 1003 1004 1005 1006 1007 1008 1009 1010 1011 1012 | <td class="#doctools_tocright">Package for Principal Component Analysis</td> </tr> <tr class="#doctools_tocodd" > <td class="#doctools_tocleft" ><a name='math_polynomials'><a href="tcllib/files/modules/math/polynomials.html">math::polynomials</a></td> <td class="#doctools_tocright">Polynomial functions</td> </tr> <tr class="#doctools_toceven" > <td class="#doctools_tocleft" ><a name='math_quasirandom'><a href="tcllib/files/modules/math/quasirandom.html">math::quasirandom</a></td> <td class="#doctools_tocright">Quasi-random points for integration and Monte Carlo type methods</td> </tr> <tr class="#doctools_tocodd" > <td class="#doctools_tocleft" ><a name='math_rationalfunctions'><a href="tcllib/files/modules/math/rational_funcs.html">math::rationalfunctions</a></td> <td class="#doctools_tocright">Polynomial functions</td> </tr> <tr class="#doctools_toceven" > <td class="#doctools_tocleft" ><a name='math_roman'><a href="tcllib/files/modules/math/roman.html">math::roman</a></td> <td class="#doctools_tocright">Tools for creating and manipulating roman numerals</td> </tr> <tr class="#doctools_tocodd" > <td class="#doctools_tocleft" ><a name='math_special'><a href="tcllib/files/modules/math/special.html">math::special</a></td> <td class="#doctools_tocright">Special mathematical functions</td> </tr> <tr class="#doctools_toceven" > <td class="#doctools_tocleft" ><a name='math_statistics'><a href="tcllib/files/modules/math/statistics.html">math::statistics</a></td> <td class="#doctools_tocright">Basic statistical functions and procedures</td> </tr> <tr class="#doctools_tocodd" > <td class="#doctools_tocleft" ><a name='math_trig'><a href="tcllib/files/modules/math/trig.html">math::trig</a></td> <td class="#doctools_tocright">Trigonometric anf hyperbolic functions</td> </tr> <tr class="#doctools_toceven" > <td class="#doctools_tocleft" ><a name='tclrep_machineparameters'><a href="tcllib/files/modules/math/machineparameters.html">tclrep/machineparameters</a></td> <td class="#doctools_tocright">Compute double precision machine parameters.</td> </tr> </table></dl> <dl><dt><a name='md4'>md4</dt><dd> <table class="#doctools_toc"> <tr class="#doctools_toceven" > |
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Changes to modules/math/decimal.test.
1 2 3 4 5 6 7 | # -*- tcl -*- # Tests for decimal arithmetic package in math library -*- tcl -*- # # This file contains a collection of tests for one or more of the Tcllib # procedures. Sourcing this file into Tcl runs the tests and # generates output for errors. No output means no errors were found. # | < < | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 | # -*- tcl -*- # Tests for decimal arithmetic package in math library -*- tcl -*- # # This file contains a collection of tests for one or more of the Tcllib # procedures. Sourcing this file into Tcl runs the tests and # generates output for errors. No output means no errors were found. # # Copyright (c) 2011 by Mark Alston # All rights reserved. # # ------------------------------------------------------------------------- source [file join \ |
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Changes to modules/math/pkgIndex.tcl.
| ︙ | ︙ | |||
26 27 28 29 30 31 32 33 34 35 36 |
package ifneeded math::linearalgebra 1.1.6 [list source [file join $dir linalg.tcl]]
package ifneeded math::calculus::symdiff 1.0.1 [list source [file join $dir symdiff.tcl]]
package ifneeded math::bigfloat 2.0.2 [list source [file join $dir bigfloat2.tcl]]
package ifneeded math::numtheory 1.1.1 [list source [file join $dir numtheory.tcl]]
package ifneeded math::decimal 1.0.3 [list source [file join $dir decimal.tcl]]
package ifneeded math::geometry 1.3.0 [list source [file join $dir geometry.tcl]]
package ifneeded math::trig 1.0 [list source [file join $dir trig.tcl]]
if {![package vsatisfies [package require Tcl] 8.6]} {return}
package ifneeded math::exact 1.0.1 [list source [file join $dir exact.tcl]]
package ifneeded math::PCA 1.0 [list source [file join $dir pca.tcl]]
| > < | 26 27 28 29 30 31 32 33 34 35 36 37 |
package ifneeded math::linearalgebra 1.1.6 [list source [file join $dir linalg.tcl]]
package ifneeded math::calculus::symdiff 1.0.1 [list source [file join $dir symdiff.tcl]]
package ifneeded math::bigfloat 2.0.2 [list source [file join $dir bigfloat2.tcl]]
package ifneeded math::numtheory 1.1.1 [list source [file join $dir numtheory.tcl]]
package ifneeded math::decimal 1.0.3 [list source [file join $dir decimal.tcl]]
package ifneeded math::geometry 1.3.0 [list source [file join $dir geometry.tcl]]
package ifneeded math::trig 1.0 [list source [file join $dir trig.tcl]]
package ifneeded math::quasirandom 1.0 [list source [file join $dir quasirandom.tcl]]
if {![package vsatisfies [package require Tcl] 8.6]} {return}
package ifneeded math::exact 1.0.1 [list source [file join $dir exact.tcl]]
package ifneeded math::PCA 1.0 [list source [file join $dir pca.tcl]]
|
Changes to modules/math/quasirandom.man.
1 2 3 4 5 6 7 |
[vset VERSION 1]
[manpage_begin math::quasirandom n [vset VERSION]]
[keywords {quasi-random}]
[keywords mathematics]
[moddesc {Tcl Math Library}]
[titledesc {Quasi-random points for integration and Monte Carlo type methods}]
[category Mathematics]
| | > | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 |
[vset VERSION 1]
[manpage_begin math::quasirandom n [vset VERSION]]
[keywords {quasi-random}]
[keywords mathematics]
[moddesc {Tcl Math Library}]
[titledesc {Quasi-random points for integration and Monte Carlo type methods}]
[category Mathematics]
[require Tcl 8.5]
[require TclOO]
[require math::quasirandom [vset VERSION]]
[description]
[para]
In many applications pseudo-random numbers and pseudo-random points in a (limited)
sample space play an important role. For instance in any type of Monte Carlo simulation.
Pseudo-random numbers, however, may be too random and as a consequence a large
|
| ︙ | ︙ |
Changes to modules/math/quasirandom.tcl.
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 |
# quasirandom.tcl --
# Generate quasi-random points in n dimensions and provide simple
# methods to evaluate an integral
#
# Note: provide a OO-style interface
#
# TODO: integral-detailed, minimum, maximum
#
# Based on the blog "The Unreasonable Effectiveness of Quasirandom Sequences" by Martin Roberts,
# http://extremelearning.com.au/unreasonable-effectiveness-of-quasirandom-sequences/
#
package provide math::quasirandom 1.0
namespace eval ::math::quasirandom {
# qrpoints --
# Create the class
| > > > | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 |
# quasirandom.tcl --
# Generate quasi-random points in n dimensions and provide simple
# methods to evaluate an integral
#
# Note: provide a OO-style interface
#
# TODO: integral-detailed, minimum, maximum
#
# Based on the blog "The Unreasonable Effectiveness of Quasirandom Sequences" by Martin Roberts,
# http://extremelearning.com.au/unreasonable-effectiveness-of-quasirandom-sequences/
#
package require Tcl 8.5
package require TclOO
package provide math::quasirandom 1.0
namespace eval ::math::quasirandom {
# qrpoints --
# Create the class
|
| ︙ | ︙ |
Changes to modules/math/quasirandom.test.
1 2 3 | # quasirandom.test -- # Tests for the quasi-random numbers package # | > | > > > | > > > | > | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 |
# -*- tcl -*-
# quasirandom.test --
# Tests for the quasi-random numbers package
#
source [file join \
[file dirname [file dirname [file join [pwd] [info script]]]] \
devtools testutilities.tcl]
testsNeedTcl 8.5
testsNeedTcltest 2.1
testing {
useLocal quasirandom.tcl math::quasirandom
}
#
# Functions for integration tests
#
proc const {coords} {
return 1.0
}
|
| ︙ | ︙ | |||
47 48 49 50 51 52 53 |
return $equal
}
#
# Create and register (in that order!) custom matching procedures
#
proc matchTolerant { expected actual } {
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 |
return $equal
}
#
# Create and register (in that order!) custom matching procedures
#
proc matchTolerant { expected actual } {
set match 1
foreach a $actual e $expected {
if { $e != 0.0 } {
if { abs($e-$a)>1.0e-7*abs($e) &&
abs($e-$a)>1.0e-7*abs($a) } {
set match 0
break
}
} else {
if { abs($a) > 1.0e-7 } {
set match 0
}
}
}
return $match
}
proc matchOnePercent { expected actual } {
set match 1
foreach a $actual e $expected {
if { $e != 0.0 } {
if { abs($e-$a)>1.0e-2*abs($e) &&
abs($e-$a)>1.0e-2*abs($a) } {
set match 0
break
}
} else {
if { abs($a) > 1.0e-2 } {
set match 0
}
}
}
return $match
}
::tcltest::customMatch tolerant matchTolerant
::tcltest::customMatch error1percent matchOnePercent
::tcltest::customMatch equal equalCoords
|
| ︙ | ︙ | |||
300 301 302 303 304 305 306 |
} -result [expr {4.0/3.0 * 2.0**3 * cos(-1.0)}] -cleanup {simple destroy}
# We do not use too many evaluations ... error less than 1%
test "Quasirandom-4.6" "Integrate linear function (x, y, z)" -match error1percent -body {
::math::quasirandom::qrpoints create simple 3
set result [list [simple integral fx {{0.0 1.0} {0.0 1.0} {0.0 1.0}}] \
| | | | 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 |
} -result [expr {4.0/3.0 * 2.0**3 * cos(-1.0)}] -cleanup {simple destroy}
# We do not use too many evaluations ... error less than 1%
test "Quasirandom-4.6" "Integrate linear function (x, y, z)" -match error1percent -body {
::math::quasirandom::qrpoints create simple 3
set result [list [simple integral fx {{0.0 1.0} {0.0 1.0} {0.0 1.0}}] \
[simple integral fy {{0.0 1.0} {0.0 1.0} {0.0 1.0}}] \
[simple integral fz {{0.0 1.0} {0.0 1.0} {0.0 1.0}}] ]
} -result {0.5 0.5 0.5} -cleanup {simple destroy}
#
# The function varies "sharply", so we need more evaluations
#
test "Quasirandom-4.7" "Integrate (xyz)**4" -match error1percent -body {
|
| ︙ | ︙ | |||
361 362 363 364 365 366 367 |
# - implement minimization
#
# Hm, the less than 1% error in the above test is a coincidence. The error is more
# likely to be 10%.
#
if {0} {
| | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | | > > > > > > | 369 370 371 372 373 374 375 376 377 378 379 380 381 382 383 384 385 386 387 388 389 390 391 392 393 394 395 396 397 398 399 400 401 402 403 404 405 406 407 408 409 410 411 412 413 414 415 416 417 418 419 420 421 422 423 424 425 426 427 428 429 430 431 432 433 434 435 436 437 438 439 440 441 442 443 444 445 446 447 448 449 450 451 452 453 454 455 456 457 458 459 |
# - implement minimization
#
# Hm, the less than 1% error in the above test is a coincidence. The error is more
# likely to be 10%.
#
if {0} {
::math::quasirandom::qrpoints create simple 3
# Exact answer is 1/125
set result [simple integral fxyz4 {{0.0 1.0} {0.0 1.0} {0.0 1.0}} -evaluations 100]
puts "fxyz4: $result"
simple set-step 0
set result [simple integral fxyz4 {{0.0 1.0} {0.0 1.0} {0.0 1.0}} -evaluations 1000]
puts "fxyz4: $result"
set result [simple integral fxyz4 {{0.0 1.0} {0.0 1.0} {0.0 1.0}} -evaluations 1000]
puts "fxyz4: $result"
set result [simple integral fxyz4 {{0.0 1.0} {0.0 1.0} {0.0 1.0}} -evaluations 1000]
puts "fxyz4: $result"
package require math::statistics
set samples {}
for {set trial 0} {$trial < 10} {incr trial} {
set sum 0.0
for {set p 0} {$p < 100} {incr p} {
set x [expr {rand()}]
set y [expr {rand()}]
set z [expr {rand()}]
set sum [expr {$sum + [fxyz4 [list $x $y $z]]}]
}
puts "Trial $trial: [expr {$sum/100.0}]"
lappend samples [expr {$sum/100.0}]
}
puts "MonteCarlo (100):"
puts [::math::statistics::mean $samples]
puts [::math::statistics::stdev $samples]
set samples {}
for {set trial 0} {$trial < 10} {incr trial} {
set sum 0.0
for {set p 0} {$p < 1000} {incr p} {
set x [expr {rand()}]
set y [expr {rand()}]
set z [expr {rand()}]
set sum [expr {$sum + [fxyz4 [list $x $y $z]]}]
}
puts "Trial $trial: [expr {$sum/1000.0}]"
lappend samples [expr {$sum/1000.0}]
}
puts "MonteCarlo (1000):"
puts [::math::statistics::mean $samples]
puts [::math::statistics::stdev $samples]
set samples {}
for {set trial 0} {$trial < 10} {incr trial} {
set result [simple integral fxyz4 {{0.0 1.0} {0.0 1.0} {0.0 1.0}} -evaluations 100]
lappend samples $result
}
puts "Quasi-random (100):"
puts [::math::statistics::mean $samples]
puts [::math::statistics::stdev $samples]
set samples {}
for {set trial 0} {$trial < 10} {incr trial} {
set result [simple integral fxyz4 {{0.0 1.0} {0.0 1.0} {0.0 1.0}} -evaluations 1000]
lappend samples $result
}
puts "Quasi-random (1000):"
puts [::math::statistics::mean $samples]
puts [::math::statistics::stdev $samples]
puts [simple integral-detailed fx {{0.0 1.0} {0.0 1.0} {0.0 1.0}}]
}
# -------------------------------------------------------------------------
# End of test cases
testsuiteCleanup
|
Changes to support/devel/sak/doc/kwic.txt.
| ︙ | ︙ | |||
1872 1873 1874 1875 1876 1877 1878 | [manpage modules/math/rational_funcs.man math::rationalfunctions] [manpage modules/math/special.man math::special] [manpage modules/math/trig.man math::trig] [manpage modules/simulation/annealing.man simulation::annealing] [manpage modules/simulation/montecarlo.man simulation::montecarlo] [manpage modules/simulation/simulation_random.man simulation::random] [key mathematics] | | > | | 1872 1873 1874 1875 1876 1877 1878 1879 1880 1881 1882 1883 1884 1885 1886 1887 1888 | [manpage modules/math/rational_funcs.man math::rationalfunctions] [manpage modules/math/special.man math::special] [manpage modules/math/trig.man math::trig] [manpage modules/simulation/annealing.man simulation::annealing] [manpage modules/simulation/montecarlo.man simulation::montecarlo] [manpage modules/simulation/simulation_random.man simulation::random] [key mathematics] [manpage modules/math/fourier.man math::fourier] [manpage modules/math/quasirandom.man math::quasirandom] [manpage modules/math/statistics.man math::statistics] [key matrices] [manpage modules/math/linalg.man math::linearalgebra] [key matrix] [manpage modules/csv/csv.man csv] [manpage modules/math/linalg.man math::linearalgebra] [manpage modules/report/report.man report] [manpage modules/struct/matrix.man struct::matrix] |
| ︙ | ︙ | |||
2534 2535 2536 2537 2538 2539 2540 2541 2542 2543 2544 2545 2546 2547 | [manpage modules/pt/pt_util.man pt::util] [manpage modules/pt/pt_to_api.man pt_export_api] [manpage modules/pt/pt_from_api.man pt_import_api] [manpage modules/pt/pt_introduction.man pt_introduction] [manpage modules/pt/pt_parse_peg.man pt_parse_peg] [manpage modules/pt/pt_parser_api.man pt_parser_api] [manpage modules/pt/pt_peg_op.man pt_peg_op] [key queue] [manpage modules/csv/csv.man csv] [manpage modules/htmlparse/htmlparse.man htmlparse] [manpage modules/struct/stack.man struct::stack] [manpage modules/transfer/tqueue.man transfer::copy::queue] [key quoting] [manpage modules/page/page_util_quote.man page_util_quote] | > > | 2535 2536 2537 2538 2539 2540 2541 2542 2543 2544 2545 2546 2547 2548 2549 2550 | [manpage modules/pt/pt_util.man pt::util] [manpage modules/pt/pt_to_api.man pt_export_api] [manpage modules/pt/pt_from_api.man pt_import_api] [manpage modules/pt/pt_introduction.man pt_introduction] [manpage modules/pt/pt_parse_peg.man pt_parse_peg] [manpage modules/pt/pt_parser_api.man pt_parser_api] [manpage modules/pt/pt_peg_op.man pt_peg_op] [key quasi-random] [manpage modules/math/quasirandom.man math::quasirandom] [key queue] [manpage modules/csv/csv.man csv] [manpage modules/htmlparse/htmlparse.man htmlparse] [manpage modules/struct/stack.man struct::stack] [manpage modules/transfer/tqueue.man transfer::copy::queue] [key quoting] [manpage modules/page/page_util_quote.man page_util_quote] |
| ︙ | ︙ |
Changes to support/devel/sak/doc/manpages.txt.
| ︙ | ︙ | |||
195 196 197 198 199 200 201 202 203 204 205 206 207 208 | modules/math/math.man modules/math/math_geometry.man modules/math/numtheory.man modules/math/optimize.man modules/math/pca.man modules/math/polynomials.man modules/math/qcomplex.man modules/math/rational_funcs.man modules/math/roman.man modules/math/romberg.man modules/math/special.man modules/math/statistics.man modules/math/symdiff.man modules/math/trig.man | > | 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 | modules/math/math.man modules/math/math_geometry.man modules/math/numtheory.man modules/math/optimize.man modules/math/pca.man modules/math/polynomials.man modules/math/qcomplex.man modules/math/quasirandom.man modules/math/rational_funcs.man modules/math/roman.man modules/math/romberg.man modules/math/special.man modules/math/statistics.man modules/math/symdiff.man modules/math/trig.man |
| ︙ | ︙ |
Changes to support/devel/sak/doc/toc.txt.
| ︙ | ︙ | |||
207 208 209 210 211 212 213 214 215 216 217 218 219 220 |
[item modules/math/math_geometry.man math::geometry {Geometrical computations}]
[item modules/math/interpolate.man math::interpolate {Interpolation routines}]
[item modules/math/linalg.man math::linearalgebra {Linear Algebra}]
[item modules/math/numtheory.man math::numtheory {Number Theory}]
[item modules/math/optimize.man math::optimize {Optimisation routines}]
[item modules/math/pca.man math::PCA {Package for Principal Component Analysis}]
[item modules/math/polynomials.man math::polynomials {Polynomial functions}]
[item modules/math/rational_funcs.man math::rationalfunctions {Polynomial functions}]
[item modules/math/roman.man math::roman {Tools for creating and manipulating roman numerals}]
[item modules/math/special.man math::special {Special mathematical functions}]
[item modules/math/statistics.man math::statistics {Basic statistical functions and procedures}]
[item modules/math/trig.man math::trig {Trigonometric anf hyperbolic functions}]
[item modules/simulation/annealing.man simulation::annealing {Simulated annealing}]
[item modules/simulation/montecarlo.man simulation::montecarlo {Monte Carlo simulations}]
| > | 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 |
[item modules/math/math_geometry.man math::geometry {Geometrical computations}]
[item modules/math/interpolate.man math::interpolate {Interpolation routines}]
[item modules/math/linalg.man math::linearalgebra {Linear Algebra}]
[item modules/math/numtheory.man math::numtheory {Number Theory}]
[item modules/math/optimize.man math::optimize {Optimisation routines}]
[item modules/math/pca.man math::PCA {Package for Principal Component Analysis}]
[item modules/math/polynomials.man math::polynomials {Polynomial functions}]
[item modules/math/quasirandom.man math::quasirandom {Quasi-random points for integration and Monte Carlo type methods}]
[item modules/math/rational_funcs.man math::rationalfunctions {Polynomial functions}]
[item modules/math/roman.man math::roman {Tools for creating and manipulating roman numerals}]
[item modules/math/special.man math::special {Special mathematical functions}]
[item modules/math/statistics.man math::statistics {Basic statistical functions and procedures}]
[item modules/math/trig.man math::trig {Trigonometric anf hyperbolic functions}]
[item modules/simulation/annealing.man simulation::annealing {Simulated annealing}]
[item modules/simulation/montecarlo.man simulation::montecarlo {Monte Carlo simulations}]
|
| ︙ | ︙ | |||
811 812 813 814 815 816 817 818 819 820 821 822 823 824 |
[item modules/math/math_geometry.man math::geometry {Geometrical computations}]
[item modules/math/interpolate.man math::interpolate {Interpolation routines}]
[item modules/math/linalg.man math::linearalgebra {Linear Algebra}]
[item modules/math/numtheory.man math::numtheory {Number Theory}]
[item modules/math/optimize.man math::optimize {Optimisation routines}]
[item modules/math/pca.man math::PCA {Package for Principal Component Analysis}]
[item modules/math/polynomials.man math::polynomials {Polynomial functions}]
[item modules/math/rational_funcs.man math::rationalfunctions {Polynomial functions}]
[item modules/math/roman.man math::roman {Tools for creating and manipulating roman numerals}]
[item modules/math/special.man math::special {Special mathematical functions}]
[item modules/math/statistics.man math::statistics {Basic statistical functions and procedures}]
[item modules/math/trig.man math::trig {Trigonometric anf hyperbolic functions}]
[item modules/math/machineparameters.man tclrep/machineparameters {Compute double precision machine parameters.}]
[division_end]
| > | 812 813 814 815 816 817 818 819 820 821 822 823 824 825 826 |
[item modules/math/math_geometry.man math::geometry {Geometrical computations}]
[item modules/math/interpolate.man math::interpolate {Interpolation routines}]
[item modules/math/linalg.man math::linearalgebra {Linear Algebra}]
[item modules/math/numtheory.man math::numtheory {Number Theory}]
[item modules/math/optimize.man math::optimize {Optimisation routines}]
[item modules/math/pca.man math::PCA {Package for Principal Component Analysis}]
[item modules/math/polynomials.man math::polynomials {Polynomial functions}]
[item modules/math/quasirandom.man math::quasirandom {Quasi-random points for integration and Monte Carlo type methods}]
[item modules/math/rational_funcs.man math::rationalfunctions {Polynomial functions}]
[item modules/math/roman.man math::roman {Tools for creating and manipulating roman numerals}]
[item modules/math/special.man math::special {Special mathematical functions}]
[item modules/math/statistics.man math::statistics {Basic statistical functions and procedures}]
[item modules/math/trig.man math::trig {Trigonometric anf hyperbolic functions}]
[item modules/math/machineparameters.man tclrep/machineparameters {Compute double precision machine parameters.}]
[division_end]
|
| ︙ | ︙ |
Changes to support/devel/sak/doc/toc_cats.txt.
| ︙ | ︙ | |||
207 208 209 210 211 212 213 214 215 216 217 218 219 220 |
[item modules/math/math_geometry.man math::geometry {Geometrical computations}]
[item modules/math/interpolate.man math::interpolate {Interpolation routines}]
[item modules/math/linalg.man math::linearalgebra {Linear Algebra}]
[item modules/math/numtheory.man math::numtheory {Number Theory}]
[item modules/math/optimize.man math::optimize {Optimisation routines}]
[item modules/math/pca.man math::PCA {Package for Principal Component Analysis}]
[item modules/math/polynomials.man math::polynomials {Polynomial functions}]
[item modules/math/rational_funcs.man math::rationalfunctions {Polynomial functions}]
[item modules/math/roman.man math::roman {Tools for creating and manipulating roman numerals}]
[item modules/math/special.man math::special {Special mathematical functions}]
[item modules/math/statistics.man math::statistics {Basic statistical functions and procedures}]
[item modules/math/trig.man math::trig {Trigonometric anf hyperbolic functions}]
[item modules/simulation/annealing.man simulation::annealing {Simulated annealing}]
[item modules/simulation/montecarlo.man simulation::montecarlo {Monte Carlo simulations}]
| > | 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 |
[item modules/math/math_geometry.man math::geometry {Geometrical computations}]
[item modules/math/interpolate.man math::interpolate {Interpolation routines}]
[item modules/math/linalg.man math::linearalgebra {Linear Algebra}]
[item modules/math/numtheory.man math::numtheory {Number Theory}]
[item modules/math/optimize.man math::optimize {Optimisation routines}]
[item modules/math/pca.man math::PCA {Package for Principal Component Analysis}]
[item modules/math/polynomials.man math::polynomials {Polynomial functions}]
[item modules/math/quasirandom.man math::quasirandom {Quasi-random points for integration and Monte Carlo type methods}]
[item modules/math/rational_funcs.man math::rationalfunctions {Polynomial functions}]
[item modules/math/roman.man math::roman {Tools for creating and manipulating roman numerals}]
[item modules/math/special.man math::special {Special mathematical functions}]
[item modules/math/statistics.man math::statistics {Basic statistical functions and procedures}]
[item modules/math/trig.man math::trig {Trigonometric anf hyperbolic functions}]
[item modules/simulation/annealing.man simulation::annealing {Simulated annealing}]
[item modules/simulation/montecarlo.man simulation::montecarlo {Monte Carlo simulations}]
|
| ︙ | ︙ |
Changes to support/devel/sak/doc/toc_mods.txt.
| ︙ | ︙ | |||
312 313 314 315 316 317 318 319 320 321 322 323 324 325 |
[item modules/math/math_geometry.man math::geometry {Geometrical computations}]
[item modules/math/interpolate.man math::interpolate {Interpolation routines}]
[item modules/math/linalg.man math::linearalgebra {Linear Algebra}]
[item modules/math/numtheory.man math::numtheory {Number Theory}]
[item modules/math/optimize.man math::optimize {Optimisation routines}]
[item modules/math/pca.man math::PCA {Package for Principal Component Analysis}]
[item modules/math/polynomials.man math::polynomials {Polynomial functions}]
[item modules/math/rational_funcs.man math::rationalfunctions {Polynomial functions}]
[item modules/math/roman.man math::roman {Tools for creating and manipulating roman numerals}]
[item modules/math/special.man math::special {Special mathematical functions}]
[item modules/math/statistics.man math::statistics {Basic statistical functions and procedures}]
[item modules/math/trig.man math::trig {Trigonometric anf hyperbolic functions}]
[item modules/math/machineparameters.man tclrep/machineparameters {Compute double precision machine parameters.}]
[division_end]
| > | 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 |
[item modules/math/math_geometry.man math::geometry {Geometrical computations}]
[item modules/math/interpolate.man math::interpolate {Interpolation routines}]
[item modules/math/linalg.man math::linearalgebra {Linear Algebra}]
[item modules/math/numtheory.man math::numtheory {Number Theory}]
[item modules/math/optimize.man math::optimize {Optimisation routines}]
[item modules/math/pca.man math::PCA {Package for Principal Component Analysis}]
[item modules/math/polynomials.man math::polynomials {Polynomial functions}]
[item modules/math/quasirandom.man math::quasirandom {Quasi-random points for integration and Monte Carlo type methods}]
[item modules/math/rational_funcs.man math::rationalfunctions {Polynomial functions}]
[item modules/math/roman.man math::roman {Tools for creating and manipulating roman numerals}]
[item modules/math/special.man math::special {Special mathematical functions}]
[item modules/math/statistics.man math::statistics {Basic statistical functions and procedures}]
[item modules/math/trig.man math::trig {Trigonometric anf hyperbolic functions}]
[item modules/math/machineparameters.man tclrep/machineparameters {Compute double precision machine parameters.}]
[division_end]
|
| ︙ | ︙ |