Merge lp:~barry/ubuntu/natty/cvxopt/cvxopt-113 into lp:ubuntu/natty/cvxopt
- Natty (11.04)
- cvxopt-113
- Merge into natty
Proposed by
Barry Warsaw
| Status: | Merged | ||||
|---|---|---|---|---|---|
| Merge reported by: | Stefano Rivera | ||||
| Merged at revision: | not available | ||||
| Proposed branch: | lp:~barry/ubuntu/natty/cvxopt/cvxopt-113 | ||||
| Merge into: | lp:ubuntu/natty/cvxopt | ||||
| Diff against target: |
27822 lines (+18387/-5932) 152 files modified
INSTALL (+5/-5) LICENSE (+4/-1) debian/changelog (+6/-0) debian/control (+2/-1) doc/build/html/.buildinfo (+4/-0) doc/build/html/_static/basic.css (+509/-0) doc/build/html/_static/cvxopt.css (+630/-0) doc/build/html/_static/default.css (+256/-0) doc/build/html/_static/doctools.js (+247/-0) doc/build/html/_static/jquery.js (+154/-0) doc/build/html/_static/pygments.css (+62/-0) doc/build/html/_static/searchtools.js (+518/-0) doc/build/html/_static/sidebar.js (+148/-0) doc/build/html/_static/underscore.js (+16/-0) doc/build/html/blas.html (+913/-0) doc/build/html/c-api.html (+306/-0) doc/build/html/coneprog.html (+1953/-0) doc/build/html/copyright.html (+139/-0) doc/build/html/fftw.html (+293/-0) doc/build/html/index.html (+181/-0) doc/build/html/intro.html (+158/-0) doc/build/html/lapack.html (+1575/-0) doc/build/html/matrices.html (+1333/-0) doc/build/html/modeling.html (+822/-0) doc/build/html/printing.html (+198/-0) doc/build/html/search.html (+96/-0) doc/build/html/searchindex.js (+1/-0) doc/build/html/solvers.html (+1200/-0) doc/build/html/spsolvers.html (+690/-0) doc/source/.templates/layout.html (+17/-0) doc/source/coneprog.rst (+6/-7) doc/source/copyright.rst (+3/-2) doc/source/index.rst (+1/-1) doc/source/matrices.rst (+3/-3) doc/source/modeling.rst (+6/-6) doc/source/spsolvers.rst (+5/-5) examples/book/chap4/portfolio (+0/-57) examples/book/chap4/portfolio.py (+55/-0) examples/book/chap4/rls (+0/-78) examples/book/chap4/rls.py (+76/-0) examples/book/chap6/basispursuit (+0/-247) examples/book/chap6/basispursuit.py (+245/-0) examples/book/chap6/consumerpref (+0/-134) examples/book/chap6/consumerpref.py (+132/-0) examples/book/chap6/cvxfit (+0/-56) examples/book/chap6/cvxfit.py (+54/-0) examples/book/chap6/huber (+0/-82) examples/book/chap6/huber.py (+80/-0) examples/book/chap6/inputdesign (+0/-92) examples/book/chap6/inputdesign.py (+90/-0) examples/book/chap6/penalties (+0/-96) examples/book/chap6/penalties.py (+94/-0) examples/book/chap6/polapprox (+0/-147) examples/book/chap6/polapprox.py (+145/-0) examples/book/chap6/regsel (+0/-126) examples/book/chap6/regsel.py (+124/-0) examples/book/chap6/robls (+0/-161) examples/book/chap6/robls.py (+159/-0) examples/book/chap6/smoothrec (+0/-83) examples/book/chap6/smoothrec.py (+81/-0) examples/book/chap6/tv (+0/-284) examples/book/chap6/tv.py (+282/-0) examples/book/chap7/chernoff (+0/-103) examples/book/chap7/chernoff.py (+101/-0) examples/book/chap7/expdesign (+0/-185) examples/book/chap7/expdesign.py (+183/-0) examples/book/chap7/logreg (+0/-46) examples/book/chap7/logreg.py (+44/-0) examples/book/chap7/maxent (+0/-94) examples/book/chap7/maxent.py (+92/-0) examples/book/chap7/probbounds (+0/-203) examples/book/chap7/probbounds.py (+201/-0) examples/book/chap8/centers (+0/-206) examples/book/chap8/centers.py (+204/-0) examples/book/chap8/ellipsoids (+0/-227) examples/book/chap8/ellipsoids.py (+225/-0) examples/book/chap8/floorplan (+0/-208) examples/book/chap8/floorplan.py (+206/-0) examples/book/chap8/linsep (+0/-133) examples/book/chap8/linsep.py (+131/-0) examples/book/chap8/placement (+0/-175) examples/book/chap8/placement.py (+173/-0) examples/doc/chap10/l1svc (+0/-19) examples/doc/chap10/l1svc.py (+17/-0) examples/doc/chap10/lp (+0/-36) examples/doc/chap10/lp.py (+34/-0) examples/doc/chap10/normappr (+0/-34) examples/doc/chap10/normappr.py (+32/-0) examples/doc/chap10/roblp (+0/-21) examples/doc/chap10/roblp.py (+19/-0) examples/doc/chap4/acent.py (+74/-0) examples/doc/chap7/covsel (+0/-90) examples/doc/chap7/covsel.py (+88/-0) examples/doc/chap8/conelp (+0/-20) examples/doc/chap8/conelp.py (+18/-0) examples/doc/chap8/coneqp (+0/-22) examples/doc/chap8/coneqp.py (+20/-0) examples/doc/chap8/l1 (+0/-128) examples/doc/chap8/l1.py (+126/-0) examples/doc/chap8/l1regls (+0/-145) examples/doc/chap8/l1regls.py (+143/-0) examples/doc/chap8/lp (+0/-10) examples/doc/chap8/lp.py (+8/-0) examples/doc/chap8/mcsdp (+0/-125) examples/doc/chap8/mcsdp.py (+123/-0) examples/doc/chap8/portfolio (+0/-56) examples/doc/chap8/portfolio.py (+54/-0) examples/doc/chap8/qcl1 (+0/-136) examples/doc/chap8/qcl1.py (+134/-0) examples/doc/chap8/sdp (+0/-18) examples/doc/chap8/sdp.py (+16/-0) examples/doc/chap8/socp (+0/-13) examples/doc/chap8/socp.py (+11/-0) examples/doc/chap9/acent (+0/-45) examples/doc/chap9/acent.py (+43/-0) examples/doc/chap9/acent2 (+0/-28) examples/doc/chap9/acent2.py (+26/-0) examples/doc/chap9/floorplan (+0/-185) examples/doc/chap9/floorplan.py (+183/-0) examples/doc/chap9/gp (+0/-21) examples/doc/chap9/gp.py (+19/-0) examples/doc/chap9/l2ac (+0/-78) examples/doc/chap9/l2ac.py (+76/-0) examples/doc/chap9/robls (+0/-59) examples/doc/chap9/robls.py (+57/-0) src/C/SuiteSparse/README_cvxopt (+2/-2) src/C/amd.c (+2/-1) src/C/base.c (+2/-1) src/C/blas.c (+2/-1) src/C/cholmod.c (+2/-1) src/C/cvxopt.h (+2/-1) src/C/dense.c (+4/-1) src/C/dsdp.c (+2/-1) src/C/fftw.c (+2/-1) src/C/glpk.c (+2/-1) src/C/gsl.c (+2/-1) src/C/lapack.c (+2/-1) src/C/misc.h (+2/-1) src/C/misc_solvers.c (+37/-30) src/C/sparse.c (+3/-2) src/C/umfpack.c (+2/-1) src/python/__init__.py (+2/-1) src/python/coneprog.py (+201/-202) src/python/cvxprog.py (+97/-95) src/python/info.py (+4/-2) src/python/misc.py (+18/-17) src/python/modeling.py (+141/-140) src/python/mosek.py (+0/-871) src/python/msk.py (+881/-0) src/python/printing.py (+11/-11) src/python/solvers.py (+2/-1) src/setup.py (+2/-2) |
||||
| To merge this branch: | bzr merge lp:~barry/ubuntu/natty/cvxopt/cvxopt-113 | ||||
| Related bugs: |
|
| Reviewer | Review Type | Date Requested | Status |
|---|---|---|---|
| Ubuntu branches | Pending | ||
|
Review via email:
|
|||
Commit message
Description of the change
New upstream release.
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Revision history for this message
| Jonathan Riddell (jr) wrote : | # |
Revision history for this message
| Barry Warsaw (barry) wrote : | # |
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| 1 | === modified file 'INSTALL' |
| 2 | --- INSTALL 2009-12-20 07:09:46 +0000 |
| 3 | +++ INSTALL 2010-12-10 13:03:35 +0000 |
| 4 | @@ -1,4 +1,4 @@ |
| 5 | -Installation instructions for CVXOPT Version 1.1.2. |
| 6 | +Installation instructions for CVXOPT Version 1.1.3. |
| 7 | |
| 8 | The package requires version 2.5 or newer of Python, and is built from |
| 9 | source, so the header files and libraries for Python must be installed, |
| 10 | @@ -18,7 +18,7 @@ |
| 11 | 3) GLPK (www.gnu.org/software/glpk/glpk.html) is a linear programming |
| 12 | package. |
| 13 | |
| 14 | -4) MOSEK version 5 (www.mosek.com) is a commercial library of convex |
| 15 | +4) MOSEK version 6 (www.mosek.com) is a commercial library of convex |
| 16 | optimization solvers. |
| 17 | |
| 18 | 5) DSDP5.8 (www-unix.mcs.anl.gov/DSDP) is a semidefinite programming |
| 19 | @@ -77,10 +77,10 @@ |
| 20 | |
| 21 | Test it: |
| 22 | -------- |
| 23 | -To test that the installation was successful, go to the examples |
| 24 | -directory and try one of the examples, for example, |
| 25 | +To test that the installation was successful, go to the examples directory |
| 26 | +and try one of the examples, for example, |
| 27 | |
| 28 | $ cd examples/doc/chap8 |
| 29 | - $ python lp |
| 30 | + $ python lp.py |
| 31 | |
| 32 | If Python does not issue an error message installation was successful. |
| 33 | |
| 34 | === modified file 'LICENSE' |
| 35 | --- LICENSE 2009-12-20 07:09:46 +0000 |
| 36 | +++ LICENSE 2010-12-10 13:03:35 +0000 |
| 37 | @@ -1,4 +1,7 @@ |
| 38 | -CVXOPT version 1.1.2 Copyright (c) 2004-2009 J. Dahl and L. Vandenberghe. |
| 39 | +CVXOPT version 1.1.3. |
| 40 | + |
| 41 | +Copyright (c) 2010 L. Vandenberghe. |
| 42 | +Copyright (c) 2004-2009 J. Dahl and L. Vandenberghe. |
| 43 | |
| 44 | This program is free software; you can redistribute it and/or modify |
| 45 | it under the terms of the GNU General Public License as published by |
| 46 | |
| 47 | === modified file 'debian/changelog' |
| 48 | --- debian/changelog 2010-12-08 15:01:49 +0000 |
| 49 | +++ debian/changelog 2010-12-10 13:03:35 +0000 |
| 50 | @@ -1,3 +1,9 @@ |
| 51 | +cvxopt (1.1.3-0ubuntu1) natty; urgency=low |
| 52 | + |
| 53 | + * New upstream release. |
| 54 | + |
| 55 | + -- Barry Warsaw <barry@ubuntu.com> Thu, 09 Dec 2010 18:16:34 -0500 |
| 56 | + |
| 57 | cvxopt (1.1.2-1build2) natty; urgency=low |
| 58 | |
| 59 | * Rebuild with python 2.7 as the python default. |
| 60 | |
| 61 | === modified file 'debian/control' |
| 62 | --- debian/control 2009-12-20 07:09:46 +0000 |
| 63 | +++ debian/control 2010-12-10 13:03:35 +0000 |
| 64 | @@ -1,7 +1,8 @@ |
| 65 | Source: cvxopt |
| 66 | Section: python |
| 67 | Priority: optional |
| 68 | -Maintainer: Soeren Sonnenburg <sonne@debian.org> |
| 69 | +Maintainer: Ubuntu Developers <ubuntu-devel-discuss@lists.ubuntu.com> |
| 70 | +XSBC-Original-Maintainer: Soeren Sonnenburg <sonne@debian.org> |
| 71 | Build-Depends: cdbs, debhelper (>= 5), python-central (>= 0.5), python-all-dev, |
| 72 | libatlas-base-dev [!powerpc !alpha !arm !armel], libblas-dev, liblapack-dev, |
| 73 | python-sphinx, libglpk-dev, libfftw3-dev, libgsl0-dev, libdsdp-dev (>= 5.8-4), |
| 74 | |
| 75 | === added directory 'doc/build/html' |
| 76 | === added file 'doc/build/html/.buildinfo' |
| 77 | --- doc/build/html/.buildinfo 1970-01-01 00:00:00 +0000 |
| 78 | +++ doc/build/html/.buildinfo 2010-12-10 13:03:35 +0000 |
| 79 | @@ -0,0 +1,4 @@ |
| 80 | +# Sphinx build info version 1 |
| 81 | +# This file hashes the configuration used when building these files. When it is not found, a full rebuild will be done. |
| 82 | +config: be7cd3abe5c0acebff1e97eaf6ac08f1 |
| 83 | +tags: fbb0d17656682115ca4d033fb2f83ba1 |
| 84 | |
| 85 | === added directory 'doc/build/html/_images' |
| 86 | === added file 'doc/build/html/_images/floorplan.png' |
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| 785 | === added file 'doc/build/html/_images/normappr.png' |
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| 787 | === added file 'doc/build/html/_images/portfolio1.png' |
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| 789 | === added file 'doc/build/html/_images/portfolio2.png' |
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| 791 | === added directory 'doc/build/html/_static' |
| 792 | === added file 'doc/build/html/_static/basic.css' |
| 793 | --- doc/build/html/_static/basic.css 1970-01-01 00:00:00 +0000 |
| 794 | +++ doc/build/html/_static/basic.css 2010-12-10 13:03:35 +0000 |
| 795 | @@ -0,0 +1,509 @@ |
| 796 | +/* |
| 797 | + * basic.css |
| 798 | + * ~~~~~~~~~ |
| 799 | + * |
| 800 | + * Sphinx stylesheet -- basic theme. |
| 801 | + * |
| 802 | + * :copyright: Copyright 2007-2010 by the Sphinx team, see AUTHORS. |
| 803 | + * :license: BSD, see LICENSE for details. |
| 804 | + * |
| 805 | + */ |
| 806 | + |
| 807 | +/* -- main layout ----------------------------------------------------------- */ |
| 808 | + |
| 809 | +div.clearer { |
| 810 | + clear: both; |
| 811 | +} |
| 812 | + |
| 813 | +/* -- relbar ---------------------------------------------------------------- */ |
| 814 | + |
| 815 | +div.related { |
| 816 | + width: 100%; |
| 817 | + font-size: 90%; |
| 818 | +} |
| 819 | + |
| 820 | +div.related h3 { |
| 821 | + display: none; |
| 822 | +} |
| 823 | + |
| 824 | +div.related ul { |
| 825 | + margin: 0; |
| 826 | + padding: 0 0 0 10px; |
| 827 | + list-style: none; |
| 828 | +} |
| 829 | + |
| 830 | +div.related li { |
| 831 | + display: inline; |
| 832 | +} |
| 833 | + |
| 834 | +div.related li.right { |
| 835 | + float: right; |
| 836 | + margin-right: 5px; |
| 837 | +} |
| 838 | + |
| 839 | +/* -- sidebar --------------------------------------------------------------- */ |
| 840 | + |
| 841 | +div.sphinxsidebarwrapper { |
| 842 | + padding: 10px 5px 0 10px; |
| 843 | +} |
| 844 | + |
| 845 | +div.sphinxsidebar { |
| 846 | + float: left; |
| 847 | + width: 230px; |
| 848 | + margin-left: -100%; |
| 849 | + font-size: 90%; |
| 850 | +} |
| 851 | + |
| 852 | +div.sphinxsidebar ul { |
| 853 | + list-style: none; |
| 854 | +} |
| 855 | + |
| 856 | +div.sphinxsidebar ul ul, |
| 857 | +div.sphinxsidebar ul.want-points { |
| 858 | + margin-left: 20px; |
| 859 | + list-style: square; |
| 860 | +} |
| 861 | + |
| 862 | +div.sphinxsidebar ul ul { |
| 863 | + margin-top: 0; |
| 864 | + margin-bottom: 0; |
| 865 | +} |
| 866 | + |
| 867 | +div.sphinxsidebar form { |
| 868 | + margin-top: 10px; |
| 869 | +} |
| 870 | + |
| 871 | +div.sphinxsidebar input { |
| 872 | + border: 1px solid #98dbcc; |
| 873 | + font-family: sans-serif; |
| 874 | + font-size: 1em; |
| 875 | +} |
| 876 | + |
| 877 | +img { |
| 878 | + border: 0; |
| 879 | +} |
| 880 | + |
| 881 | +/* -- search page ----------------------------------------------------------- */ |
| 882 | + |
| 883 | +ul.search { |
| 884 | + margin: 10px 0 0 20px; |
| 885 | + padding: 0; |
| 886 | +} |
| 887 | + |
| 888 | +ul.search li { |
| 889 | + padding: 5px 0 5px 20px; |
| 890 | + background-image: url(file.png); |
| 891 | + background-repeat: no-repeat; |
| 892 | + background-position: 0 7px; |
| 893 | +} |
| 894 | + |
| 895 | +ul.search li a { |
| 896 | + font-weight: bold; |
| 897 | +} |
| 898 | + |
| 899 | +ul.search li div.context { |
| 900 | + color: #888; |
| 901 | + margin: 2px 0 0 30px; |
| 902 | + text-align: left; |
| 903 | +} |
| 904 | + |
| 905 | +ul.keywordmatches li.goodmatch a { |
| 906 | + font-weight: bold; |
| 907 | +} |
| 908 | + |
| 909 | +/* -- index page ------------------------------------------------------------ */ |
| 910 | + |
| 911 | +table.contentstable { |
| 912 | + width: 90%; |
| 913 | +} |
| 914 | + |
| 915 | +table.contentstable p.biglink { |
| 916 | + line-height: 150%; |
| 917 | +} |
| 918 | + |
| 919 | +a.biglink { |
| 920 | + font-size: 1.3em; |
| 921 | +} |
| 922 | + |
| 923 | +span.linkdescr { |
| 924 | + font-style: italic; |
| 925 | + padding-top: 5px; |
| 926 | + font-size: 90%; |
| 927 | +} |
| 928 | + |
| 929 | +/* -- general index --------------------------------------------------------- */ |
| 930 | + |
| 931 | +table.indextable { |
| 932 | + width: 100%; |
| 933 | +} |
| 934 | + |
| 935 | +table.indextable td { |
| 936 | + text-align: left; |
| 937 | + vertical-align: top; |
| 938 | +} |
| 939 | + |
| 940 | +table.indextable dl, table.indextable dd { |
| 941 | + margin-top: 0; |
| 942 | + margin-bottom: 0; |
| 943 | +} |
| 944 | + |
| 945 | +table.indextable tr.pcap { |
| 946 | + height: 10px; |
| 947 | +} |
| 948 | + |
| 949 | +table.indextable tr.cap { |
| 950 | + margin-top: 10px; |
| 951 | + background-color: #f2f2f2; |
| 952 | +} |
| 953 | + |
| 954 | +img.toggler { |
| 955 | + margin-right: 3px; |
| 956 | + margin-top: 3px; |
| 957 | + cursor: pointer; |
| 958 | +} |
| 959 | + |
| 960 | +div.modindex-jumpbox { |
| 961 | + border-top: 1px solid #ddd; |
| 962 | + border-bottom: 1px solid #ddd; |
| 963 | + margin: 1em 0 1em 0; |
| 964 | + padding: 0.4em; |
| 965 | +} |
| 966 | + |
| 967 | +div.genindex-jumpbox { |
| 968 | + border-top: 1px solid #ddd; |
| 969 | + border-bottom: 1px solid #ddd; |
| 970 | + margin: 1em 0 1em 0; |
| 971 | + padding: 0.4em; |
| 972 | +} |
| 973 | + |
| 974 | +/* -- general body styles --------------------------------------------------- */ |
| 975 | + |
| 976 | +a.headerlink { |
| 977 | + visibility: hidden; |
| 978 | +} |
| 979 | + |
| 980 | +h1:hover > a.headerlink, |
| 981 | +h2:hover > a.headerlink, |
| 982 | +h3:hover > a.headerlink, |
| 983 | +h4:hover > a.headerlink, |
| 984 | +h5:hover > a.headerlink, |
| 985 | +h6:hover > a.headerlink, |
| 986 | +dt:hover > a.headerlink { |
| 987 | + visibility: visible; |
| 988 | +} |
| 989 | + |
| 990 | +div.body p.caption { |
| 991 | + text-align: inherit; |
| 992 | +} |
| 993 | + |
| 994 | +div.body td { |
| 995 | + text-align: left; |
| 996 | +} |
| 997 | + |
| 998 | +.field-list ul { |
| 999 | + padding-left: 1em; |
| 1000 | +} |
| 1001 | + |
| 1002 | +.first { |
| 1003 | + margin-top: 0 !important; |
| 1004 | +} |
| 1005 | + |
| 1006 | +p.rubric { |
| 1007 | + margin-top: 30px; |
| 1008 | + font-weight: bold; |
| 1009 | +} |
| 1010 | + |
| 1011 | +.align-left { |
| 1012 | + text-align: left; |
| 1013 | +} |
| 1014 | + |
| 1015 | +.align-center { |
| 1016 | + clear: both; |
| 1017 | + text-align: center; |
| 1018 | +} |
| 1019 | + |
| 1020 | +.align-right { |
| 1021 | + text-align: right; |
| 1022 | +} |
| 1023 | + |
| 1024 | +/* -- sidebars -------------------------------------------------------------- */ |
| 1025 | + |
| 1026 | +div.sidebar { |
| 1027 | + margin: 0 0 0.5em 1em; |
| 1028 | + border: 1px solid #ddb; |
| 1029 | + padding: 7px 7px 0 7px; |
| 1030 | + background-color: #ffe; |
| 1031 | + width: 40%; |
| 1032 | + float: right; |
| 1033 | +} |
| 1034 | + |
| 1035 | +p.sidebar-title { |
| 1036 | + font-weight: bold; |
| 1037 | +} |
| 1038 | + |
| 1039 | +/* -- topics ---------------------------------------------------------------- */ |
| 1040 | + |
| 1041 | +div.topic { |
| 1042 | + border: 1px solid #ccc; |
| 1043 | + padding: 7px 7px 0 7px; |
| 1044 | + margin: 10px 0 10px 0; |
| 1045 | +} |
| 1046 | + |
| 1047 | +p.topic-title { |
| 1048 | + font-size: 1.1em; |
| 1049 | + font-weight: bold; |
| 1050 | + margin-top: 10px; |
| 1051 | +} |
| 1052 | + |
| 1053 | +/* -- admonitions ----------------------------------------------------------- */ |
| 1054 | + |
| 1055 | +div.admonition { |
| 1056 | + margin-top: 10px; |
| 1057 | + margin-bottom: 10px; |
| 1058 | + padding: 7px; |
| 1059 | +} |
| 1060 | + |
| 1061 | +div.admonition dt { |
| 1062 | + font-weight: bold; |
| 1063 | +} |
| 1064 | + |
| 1065 | +div.admonition dl { |
| 1066 | + margin-bottom: 0; |
| 1067 | +} |
| 1068 | + |
| 1069 | +p.admonition-title { |
| 1070 | + margin: 0px 10px 5px 0px; |
| 1071 | + font-weight: bold; |
| 1072 | +} |
| 1073 | + |
| 1074 | +div.body p.centered { |
| 1075 | + text-align: center; |
| 1076 | + margin-top: 25px; |
| 1077 | +} |
| 1078 | + |
| 1079 | +/* -- tables ---------------------------------------------------------------- */ |
| 1080 | + |
| 1081 | +table.docutils { |
| 1082 | + border: 0; |
| 1083 | + border-collapse: collapse; |
| 1084 | +} |
| 1085 | + |
| 1086 | +table.docutils td, table.docutils th { |
| 1087 | + padding: 1px 8px 1px 5px; |
| 1088 | + border-top: 0; |
| 1089 | + border-left: 0; |
| 1090 | + border-right: 0; |
| 1091 | + border-bottom: 1px solid #aaa; |
| 1092 | +} |
| 1093 | + |
| 1094 | +table.field-list td, table.field-list th { |
| 1095 | + border: 0 !important; |
| 1096 | +} |
| 1097 | + |
| 1098 | +table.footnote td, table.footnote th { |
| 1099 | + border: 0 !important; |
| 1100 | +} |
| 1101 | + |
| 1102 | +th { |
| 1103 | + text-align: left; |
| 1104 | + padding-right: 5px; |
| 1105 | +} |
| 1106 | + |
| 1107 | +table.citation { |
| 1108 | + border-left: solid 1px gray; |
| 1109 | + margin-left: 1px; |
| 1110 | +} |
| 1111 | + |
| 1112 | +table.citation td { |
| 1113 | + border-bottom: none; |
| 1114 | +} |
| 1115 | + |
| 1116 | +/* -- other body styles ----------------------------------------------------- */ |
| 1117 | + |
| 1118 | +ol.arabic { |
| 1119 | + list-style: decimal; |
| 1120 | +} |
| 1121 | + |
| 1122 | +ol.loweralpha { |
| 1123 | + list-style: lower-alpha; |
| 1124 | +} |
| 1125 | + |
| 1126 | +ol.upperalpha { |
| 1127 | + list-style: upper-alpha; |
| 1128 | +} |
| 1129 | + |
| 1130 | +ol.lowerroman { |
| 1131 | + list-style: lower-roman; |
| 1132 | +} |
| 1133 | + |
| 1134 | +ol.upperroman { |
| 1135 | + list-style: upper-roman; |
| 1136 | +} |
| 1137 | + |
| 1138 | +dl { |
| 1139 | + margin-bottom: 15px; |
| 1140 | +} |
| 1141 | + |
| 1142 | +dd p { |
| 1143 | + margin-top: 0px; |
| 1144 | +} |
| 1145 | + |
| 1146 | +dd ul, dd table { |
| 1147 | + margin-bottom: 10px; |
| 1148 | +} |
| 1149 | + |
| 1150 | +dd { |
| 1151 | + margin-top: 3px; |
| 1152 | + margin-bottom: 10px; |
| 1153 | + margin-left: 30px; |
| 1154 | +} |
| 1155 | + |
| 1156 | +dt:target, .highlighted { |
| 1157 | + background-color: #fbe54e; |
| 1158 | +} |
| 1159 | + |
| 1160 | +dl.glossary dt { |
| 1161 | + font-weight: bold; |
| 1162 | + font-size: 1.1em; |
| 1163 | +} |
| 1164 | + |
| 1165 | +.field-list ul { |
| 1166 | + margin: 0; |
| 1167 | + padding-left: 1em; |
| 1168 | +} |
| 1169 | + |
| 1170 | +.field-list p { |
| 1171 | + margin: 0; |
| 1172 | +} |
| 1173 | + |
| 1174 | +.refcount { |
| 1175 | + color: #060; |
| 1176 | +} |
| 1177 | + |
| 1178 | +.optional { |
| 1179 | + font-size: 1.3em; |
| 1180 | +} |
| 1181 | + |
| 1182 | +.versionmodified { |
| 1183 | + font-style: italic; |
| 1184 | +} |
| 1185 | + |
| 1186 | +.system-message { |
| 1187 | + background-color: #fda; |
| 1188 | + padding: 5px; |
| 1189 | + border: 3px solid red; |
| 1190 | +} |
| 1191 | + |
| 1192 | +.footnote:target { |
| 1193 | + background-color: #ffa |
| 1194 | +} |
| 1195 | + |
| 1196 | +.line-block { |
| 1197 | + display: block; |
| 1198 | + margin-top: 1em; |
| 1199 | + margin-bottom: 1em; |
| 1200 | +} |
| 1201 | + |
| 1202 | +.line-block .line-block { |
| 1203 | + margin-top: 0; |
| 1204 | + margin-bottom: 0; |
| 1205 | + margin-left: 1.5em; |
| 1206 | +} |
| 1207 | + |
| 1208 | +.guilabel, .menuselection { |
| 1209 | + font-family: sans-serif; |
| 1210 | +} |
| 1211 | + |
| 1212 | +.accelerator { |
| 1213 | + text-decoration: underline; |
| 1214 | +} |
| 1215 | + |
| 1216 | +.classifier { |
| 1217 | + font-style: oblique; |
| 1218 | +} |
| 1219 | + |
| 1220 | +/* -- code displays --------------------------------------------------------- */ |
| 1221 | + |
| 1222 | +pre { |
| 1223 | + overflow: auto; |
| 1224 | +} |
| 1225 | + |
| 1226 | +td.linenos pre { |
| 1227 | + padding: 5px 0px; |
| 1228 | + border: 0; |
| 1229 | + background-color: transparent; |
| 1230 | + color: #aaa; |
| 1231 | +} |
| 1232 | + |
| 1233 | +table.highlighttable { |
| 1234 | + margin-left: 0.5em; |
| 1235 | +} |
| 1236 | + |
| 1237 | +table.highlighttable td { |
| 1238 | + padding: 0 0.5em 0 0.5em; |
| 1239 | +} |
| 1240 | + |
| 1241 | +tt.descname { |
| 1242 | + background-color: transparent; |
| 1243 | + font-weight: bold; |
| 1244 | + font-size: 1.2em; |
| 1245 | +} |
| 1246 | + |
| 1247 | +tt.descclassname { |
| 1248 | + background-color: transparent; |
| 1249 | +} |
| 1250 | + |
| 1251 | +tt.xref, a tt { |
| 1252 | + background-color: transparent; |
| 1253 | + font-weight: bold; |
| 1254 | +} |
| 1255 | + |
| 1256 | +h1 tt, h2 tt, h3 tt, h4 tt, h5 tt, h6 tt { |
| 1257 | + background-color: transparent; |
| 1258 | +} |
| 1259 | + |
| 1260 | +.viewcode-link { |
| 1261 | + float: right; |
| 1262 | +} |
| 1263 | + |
| 1264 | +.viewcode-back { |
| 1265 | + float: right; |
| 1266 | + font-family: sans-serif; |
| 1267 | +} |
| 1268 | + |
| 1269 | +div.viewcode-block:target { |
| 1270 | + margin: -1px -10px; |
| 1271 | + padding: 0 10px; |
| 1272 | +} |
| 1273 | + |
| 1274 | +/* -- math display ---------------------------------------------------------- */ |
| 1275 | + |
| 1276 | +img.math { |
| 1277 | + vertical-align: middle; |
| 1278 | +} |
| 1279 | + |
| 1280 | +div.body div.math p { |
| 1281 | + text-align: center; |
| 1282 | +} |
| 1283 | + |
| 1284 | +span.eqno { |
| 1285 | + float: right; |
| 1286 | +} |
| 1287 | + |
| 1288 | +/* -- printout stylesheet --------------------------------------------------- */ |
| 1289 | + |
| 1290 | +@media print { |
| 1291 | + div.document, |
| 1292 | + div.documentwrapper, |
| 1293 | + div.bodywrapper { |
| 1294 | + margin: 0 !important; |
| 1295 | + width: 100%; |
| 1296 | + } |
| 1297 | + |
| 1298 | + div.sphinxsidebar, |
| 1299 | + div.related, |
| 1300 | + div.footer, |
| 1301 | + #top-link { |
| 1302 | + display: none; |
| 1303 | + } |
| 1304 | +} |
| 1305 | |
| 1306 | === added file 'doc/build/html/_static/cvxopt.css' |
| 1307 | --- doc/build/html/_static/cvxopt.css 1970-01-01 00:00:00 +0000 |
| 1308 | +++ doc/build/html/_static/cvxopt.css 2010-12-10 13:03:35 +0000 |
| 1309 | @@ -0,0 +1,630 @@ |
| 1310 | +/* |
| 1311 | + * Alternate Sphinx design |
| 1312 | + * Originally created by Armin Ronacher for Werkzeug, adapted by Georg |
| 1313 | + * Brandl. |
| 1314 | + * Adapted for CVXOPT. |
| 1315 | + */ |
| 1316 | + |
| 1317 | +body { |
| 1318 | + font-family: 'Lucida Grande', 'Lucida Sans Unicode', 'Geneva', 'Verdana', sans-serif; |
| 1319 | + font-size: 14px; |
| 1320 | + letter-spacing: -0.01em; |
| 1321 | + line-height: 150%; |
| 1322 | + text-align: center; |
| 1323 | + /* background-color: #AFC1C4; */ |
| 1324 | + /* background-color: #BFD1D4; */ |
| 1325 | + color: black; |
| 1326 | + /* border: 1px solid #aaa; */ |
| 1327 | + margin: 0px 20px 0px 20px; |
| 1328 | + /* min-width: 740px; */ |
| 1329 | + min-width: 800px; */ |
| 1330 | +} |
| 1331 | + |
| 1332 | +a { |
| 1333 | +/* color: #CA7900; */ |
| 1334 | + color: black; |
| 1335 | + text-decoration: underline; |
| 1336 | +} |
| 1337 | + |
| 1338 | +a:hover { |
| 1339 | +/* color: #2491CF; */ |
| 1340 | + text-decoration: underline; |
| 1341 | +} |
| 1342 | + |
| 1343 | +li[class="toctree-l1"] a, div.sphinxsidebar a { |
| 1344 | + text-decoration: none !important; |
| 1345 | +} |
| 1346 | +li[class="toctree-l1"] a:hover, div.sphinxsidebar a:hover { |
| 1347 | + text-decoration: underline !important; |
| 1348 | + color: black !important; |
| 1349 | +} |
| 1350 | +li[class="toctree-l1"] ul { |
| 1351 | + list-style-type: circle; |
| 1352 | +} |
| 1353 | + |
| 1354 | +div.sphinxsidebarwrapper h3 a:hover { |
| 1355 | + text-decoration: none !important; |
| 1356 | + color: white !important; |
| 1357 | +} |
| 1358 | + |
| 1359 | +pre { |
| 1360 | + font-family: 'Consolas', 'Deja Vu Sans Mono', 'Bitstream Vera Sans Mono', monospace; |
| 1361 | + font-size: 0.95em; |
| 1362 | + letter-spacing: 0.015em; |
| 1363 | + padding: 0.5em; |
| 1364 | + border: 1px solid #ccc; |
| 1365 | + background-color: #f8f8f8; |
| 1366 | +} |
| 1367 | + |
| 1368 | +td.linenos pre { |
| 1369 | + padding: 0.5em 0; |
| 1370 | + border: 0; |
| 1371 | + background-color: transparent; |
| 1372 | + color: #aaa; |
| 1373 | +} |
| 1374 | + |
| 1375 | +table.highlighttable { |
| 1376 | + margin-left: 0.5em; |
| 1377 | +} |
| 1378 | + |
| 1379 | +table.highlighttable td { |
| 1380 | + padding: 0 0.5em 0 0.5em; |
| 1381 | +} |
| 1382 | + |
| 1383 | +cite, code { |
| 1384 | + font-family: 'Consolas', 'Deja Vu Sans Mono', 'Bitstream Vera Sans Mono', monospace; |
| 1385 | + font-size: 0.95em; |
| 1386 | + letter-spacing: 0.01em; |
| 1387 | +} |
| 1388 | + |
| 1389 | +hr { |
| 1390 | + border: 1px solid #abc; |
| 1391 | + margin: 2em; |
| 1392 | +} |
| 1393 | + |
| 1394 | +tt { |
| 1395 | + font-family: 'Consolas', 'Deja Vu Sans Mono', 'Bitstream Vera Sans Mono', monospace; |
| 1396 | +} |
| 1397 | + |
| 1398 | +/* function names */ |
| 1399 | +tt.descname { |
| 1400 | + font-style: normal; |
| 1401 | + background-color: transparent; |
| 1402 | + font-weight: bold; |
| 1403 | + font-size: 1.2em; |
| 1404 | + border: 0; |
| 1405 | +} |
| 1406 | + |
| 1407 | +/* module name prepended to function name*/ |
| 1408 | +tt.descclassname { |
| 1409 | + font-style: normal; |
| 1410 | + background-color: transparent; |
| 1411 | + border: 0; |
| 1412 | +} |
| 1413 | + |
| 1414 | +/* variables in function argument list and definition, :samp: */ |
| 1415 | +tt.docutils.literal, dl.function em { |
| 1416 | + font-family: 'Consolas', 'Deja Vu Sans Mono', 'Bitstream Vera Sans Mono', monospace; |
| 1417 | + font-style: italic; |
| 1418 | + background-color: transparent; |
| 1419 | + border: 0; |
| 1420 | +} |
| 1421 | + |
| 1422 | +/* function name in reference, and literals */ |
| 1423 | +tt.xref.docutils.literal { |
| 1424 | + font-style: normal; |
| 1425 | + background-color: transparent; |
| 1426 | + font-weight: bold; |
| 1427 | + border: 0; |
| 1428 | +} |
| 1429 | + |
| 1430 | +a tt { |
| 1431 | + background-color: transparent; |
| 1432 | + font-weight: bold; |
| 1433 | + border: 0; |
| 1434 | +/* color: #CA7900; */ |
| 1435 | +} |
| 1436 | + |
| 1437 | +/* |
| 1438 | +a tt:hover { |
| 1439 | + color: #2491CF; |
| 1440 | +} |
| 1441 | +*/ |
| 1442 | + |
| 1443 | + |
| 1444 | +.field-list ul { |
| 1445 | + margin: 0; |
| 1446 | + padding-left: 1em; |
| 1447 | +} |
| 1448 | + |
| 1449 | +.field-list p { |
| 1450 | + margin: 0; |
| 1451 | +} |
| 1452 | + |
| 1453 | +dl { |
| 1454 | + margin-bottom: 15px; |
| 1455 | +} |
| 1456 | + |
| 1457 | + |
| 1458 | + |
| 1459 | +dd p { |
| 1460 | + margin-top: 0px; |
| 1461 | +} |
| 1462 | + |
| 1463 | +dd ul, dd table { |
| 1464 | + margin-bottom: 10px; |
| 1465 | +} |
| 1466 | + |
| 1467 | +dd { |
| 1468 | + margin-top: 3px; |
| 1469 | + margin-bottom: 10px; |
| 1470 | + margin-left: 30px; |
| 1471 | +} |
| 1472 | + |
| 1473 | +.refcount { |
| 1474 | + color: #060; |
| 1475 | +} |
| 1476 | + |
| 1477 | +dt:target, |
| 1478 | +.highlight { |
| 1479 | + background-color: #fbe54e; |
| 1480 | +} |
| 1481 | + |
| 1482 | +dl.glossary dt { |
| 1483 | + font-weight: bold; |
| 1484 | + font-size: 1.1em; |
| 1485 | +} |
| 1486 | + |
| 1487 | +pre { |
| 1488 | + line-height: 120%; |
| 1489 | +} |
| 1490 | + |
| 1491 | +pre a { |
| 1492 | + color: inherit; |
| 1493 | + text-decoration: underline; |
| 1494 | +} |
| 1495 | + |
| 1496 | +.first { |
| 1497 | + margin-top: 0 !important; |
| 1498 | +} |
| 1499 | + |
| 1500 | +div.document { |
| 1501 | + background-color: white; |
| 1502 | + text-align: left; |
| 1503 | +/* background-image: url(contents.png); */ |
| 1504 | +/* background-repeat: repeat-x; */ |
| 1505 | +} |
| 1506 | + |
| 1507 | +/* |
| 1508 | +div.documentwrapper { |
| 1509 | + width: 100%; |
| 1510 | +} |
| 1511 | +*/ |
| 1512 | + |
| 1513 | +div.clearer { |
| 1514 | + clear: both; |
| 1515 | +} |
| 1516 | + |
| 1517 | +div.related h3 { |
| 1518 | + display: none; |
| 1519 | +} |
| 1520 | + |
| 1521 | +div.related ul { |
| 1522 | +/* background-image: url(navigation.png); */ |
| 1523 | + height: 2em; |
| 1524 | + list-style: none; |
| 1525 | + border-top: 1px solid #ddd; |
| 1526 | + border-bottom: 1px solid #ddd; |
| 1527 | + margin: 0; |
| 1528 | + padding-left: 10px; |
| 1529 | +} |
| 1530 | + |
| 1531 | +div.related ul li { |
| 1532 | + margin: 0; |
| 1533 | + padding: 0; |
| 1534 | + height: 2em; |
| 1535 | + float: left; |
| 1536 | +} |
| 1537 | + |
| 1538 | +div.related ul li.right { |
| 1539 | + float: right; |
| 1540 | + margin-right: 5px; |
| 1541 | +} |
| 1542 | + |
| 1543 | +div.related ul li a { |
| 1544 | + margin: 0; |
| 1545 | + padding: 0 5px 0 5px; |
| 1546 | + line-height: 1.75em; |
| 1547 | +/* color: #EE9816; */ |
| 1548 | + text-decoration: none; |
| 1549 | +} |
| 1550 | + |
| 1551 | +div.related ul li a:hover { |
| 1552 | +/* color: #3CA8E7; */ |
| 1553 | + text-decoration: underline; |
| 1554 | +} |
| 1555 | + |
| 1556 | +div.body { |
| 1557 | + margin: 0; |
| 1558 | + padding: 0.5em 20px 20px 20px; |
| 1559 | +} |
| 1560 | + |
| 1561 | +div.documentwrapper{ |
| 1562 | + float: left; |
| 1563 | + width: 100%; |
| 1564 | +} |
| 1565 | + |
| 1566 | +div.bodywrapper { |
| 1567 | +/* margin: 0 240px 0 0; */ |
| 1568 | + margin: 0 0 0 240px; |
| 1569 | + border-left: 1px solid #ccc; |
| 1570 | +} |
| 1571 | + |
| 1572 | +/* |
| 1573 | +div.body a { |
| 1574 | + text-decoration: underline; |
| 1575 | + text-decoration: none; |
| 1576 | +} |
| 1577 | +*/ |
| 1578 | + |
| 1579 | +div.body a:hover { |
| 1580 | + color: #2491CF; |
| 1581 | +} |
| 1582 | + |
| 1583 | +div.sphinxsidebar { |
| 1584 | + margin: 0; |
| 1585 | + padding: 0.5em 15px 15px 0; |
| 1586 | + width: 210px; |
| 1587 | + float: left; |
| 1588 | + text-align: left; |
| 1589 | + margin-left: -100%; |
| 1590 | +} |
| 1591 | + |
| 1592 | +div.sphinxsidebar h4, div.sphinxsidebar h3 { |
| 1593 | + margin: 1em 0 .2em 0; |
| 1594 | +/* font-size: 0.9em; */ |
| 1595 | + font-size: 1.1em; |
| 1596 | + |
| 1597 | + padding: 0.1em 0 0.1em 0.5em; |
| 1598 | + color: white; |
| 1599 | + border: 1px solid #86989B; |
| 1600 | + background-color: #AFC1C4; |
| 1601 | +} |
| 1602 | + |
| 1603 | +div.sphinxsidebar h3 a { |
| 1604 | + color: white; |
| 1605 | +} |
| 1606 | + |
| 1607 | +div.sphinxsidebar ul { |
| 1608 | + padding-left: 1.5em; |
| 1609 | + margin-top: 7px; |
| 1610 | + list-style: none; |
| 1611 | + padding: 0; |
| 1612 | + line-height: 130%; |
| 1613 | +} |
| 1614 | + |
| 1615 | +div.sphinxsidebar ul ul { |
| 1616 | + list-style: square; |
| 1617 | + margin-left: 20px; |
| 1618 | +} |
| 1619 | + |
| 1620 | +p { |
| 1621 | + margin: 0.8em 0 0.5em 0; |
| 1622 | +} |
| 1623 | + |
| 1624 | +p.rubric { |
| 1625 | + font-weight: bold; |
| 1626 | +} |
| 1627 | + |
| 1628 | +div.sidebar { |
| 1629 | + margin: 0 0 0.5em 1em; |
| 1630 | + border: 1px solid #ddb; |
| 1631 | + padding: 7px 7px 0 7px; |
| 1632 | + background-color: #ffe; |
| 1633 | + width: 40%; |
| 1634 | + float: right; |
| 1635 | +} |
| 1636 | + |
| 1637 | +div.quotebar { |
| 1638 | + background-color: #f8f8f8; |
| 1639 | + max-width: 250px; |
| 1640 | + float: right; |
| 1641 | + padding: 2px 7px; |
| 1642 | + border: 1px solid #ccc; |
| 1643 | +} |
| 1644 | + |
| 1645 | +p.sidebar-title { |
| 1646 | + font-weight: bold; |
| 1647 | +} |
| 1648 | + |
| 1649 | +div.topic { |
| 1650 | + background-color: #f8f8f8; |
| 1651 | + border: 1px solid #ccc; |
| 1652 | + padding: 7px 7px 0 7px; |
| 1653 | + margin: 10px 0 10px 0; |
| 1654 | +} |
| 1655 | + |
| 1656 | +p.topic-title { |
| 1657 | + font-size: 1.1em; |
| 1658 | + font-weight: bold; |
| 1659 | +} |
| 1660 | + |
| 1661 | +h1 { |
| 1662 | + margin: 0; |
| 1663 | + padding: 0.7em 0 0.3em 0; |
| 1664 | + font-size: 1.5em; |
| 1665 | + color: #11557C; |
| 1666 | +} |
| 1667 | + |
| 1668 | +h2 { |
| 1669 | + margin: 1.3em 0 0.2em 0; |
| 1670 | + font-size: 1.35em; |
| 1671 | + padding: 0; |
| 1672 | + color: #11557C; |
| 1673 | +} |
| 1674 | + |
| 1675 | +h3 { |
| 1676 | + margin: 1em 0 -0.3em 0; |
| 1677 | + font-size: 1.2em; |
| 1678 | +} |
| 1679 | + |
| 1680 | +div.body h1 a, div.body h2 a, div.body h3 a, div.body h4 a, div.body h5 a, div.body h6 a { |
| 1681 | + color: black!important; |
| 1682 | +} |
| 1683 | + |
| 1684 | +h1 a.anchor, h2 a.anchor, h3 a.anchor, h4 a.anchor, h5 a.anchor, h6 a.anchor { |
| 1685 | + display: none; |
| 1686 | + margin: 0 0 0 0.3em; |
| 1687 | + padding: 0 0.2em 0 0.2em; |
| 1688 | + color: #aaa!important; |
| 1689 | +} |
| 1690 | + |
| 1691 | +h1:hover a.anchor, h2:hover a.anchor, h3:hover a.anchor, h4:hover a.anchor, |
| 1692 | +h5:hover a.anchor, h6:hover a.anchor { |
| 1693 | + display: inline; |
| 1694 | +} |
| 1695 | + |
| 1696 | +h1 a.anchor:hover, h2 a.anchor:hover, h3 a.anchor:hover, h4 a.anchor:hover, |
| 1697 | +h5 a.anchor:hover, h6 a.anchor:hover { |
| 1698 | + color: #777; |
| 1699 | + background-color: #eee; |
| 1700 | +} |
| 1701 | + |
| 1702 | +table { |
| 1703 | + border-collapse: collapse; |
| 1704 | + margin: 0 -0.5em 0 -0.5em; |
| 1705 | +} |
| 1706 | + |
| 1707 | +table.docutils{ |
| 1708 | + margin-left: auto; |
| 1709 | + margin-right: auto; |
| 1710 | + width: 60%; |
| 1711 | + margin-top: 1em; |
| 1712 | + margin-bottom: 1em; |
| 1713 | +} |
| 1714 | + |
| 1715 | +table td, table th { |
| 1716 | + padding: 0.2em 0.5em 0.2em 0.5em; |
| 1717 | +} |
| 1718 | + |
| 1719 | +div.footer { |
| 1720 | +/* background-color: #E3EFF1; */ |
| 1721 | + color: #86989B; |
| 1722 | + padding: 3px 8px 3px 0; |
| 1723 | + clear: both; |
| 1724 | + font-size: 0.8em; |
| 1725 | + text-align: right; |
| 1726 | +} |
| 1727 | + |
| 1728 | +div.footer a { |
| 1729 | + color: #86989B; |
| 1730 | + text-decoration: underline; |
| 1731 | +} |
| 1732 | + |
| 1733 | +div.pagination { |
| 1734 | + margin-top: 2em; |
| 1735 | + padding-top: 0.5em; |
| 1736 | + border-top: 1px solid black; |
| 1737 | + text-align: center; |
| 1738 | +} |
| 1739 | + |
| 1740 | +div.sphinxsidebar ul.toc { |
| 1741 | + margin: 1em 0 1em 0; |
| 1742 | + padding: 0 0 0 0.5em; |
| 1743 | + list-style: none; |
| 1744 | +} |
| 1745 | + |
| 1746 | +div.sphinxsidebar ul.toc li { |
| 1747 | + margin: 0.5em 0 0.5em 0; |
| 1748 | + font-size: 0.9em; |
| 1749 | + line-height: 130%; |
| 1750 | +} |
| 1751 | + |
| 1752 | +div.sphinxsidebar ul.toc li p { |
| 1753 | + margin: 0; |
| 1754 | + padding: 0; |
| 1755 | +} |
| 1756 | + |
| 1757 | +div.sphinxsidebar ul.toc ul { |
| 1758 | + margin: 0.2em 0 0.2em 0; |
| 1759 | + padding: 0 0 0 1.8em; |
| 1760 | +} |
| 1761 | + |
| 1762 | +div.sphinxsidebar ul.toc ul li { |
| 1763 | + padding: 0; |
| 1764 | +} |
| 1765 | + |
| 1766 | +div.admonition, div.warning { |
| 1767 | + font-size: 0.9em; |
| 1768 | + margin: 1em 0 0 0; |
| 1769 | + border: 1px solid #86989B; |
| 1770 | + background-color: #f7f7f7; |
| 1771 | +} |
| 1772 | + |
| 1773 | +div.admonition p, div.warning p { |
| 1774 | + margin: 0.5em 1em 0.5em 1em; |
| 1775 | + padding: 0; |
| 1776 | +} |
| 1777 | + |
| 1778 | +div.admonition pre, div.warning pre { |
| 1779 | + margin: 0.4em 1em 0.4em 1em; |
| 1780 | +} |
| 1781 | + |
| 1782 | +div.admonition p.admonition-title, |
| 1783 | +div.warning p.admonition-title { |
| 1784 | + margin: 0; |
| 1785 | + padding: 0.1em 0 0.1em 0.5em; |
| 1786 | + color: white; |
| 1787 | + border-bottom: 1px solid #86989B; |
| 1788 | + font-weight: bold; |
| 1789 | + background-color: #AFC1C4; |
| 1790 | +} |
| 1791 | + |
| 1792 | +div.warning { |
| 1793 | + border: 1px solid #940000; |
| 1794 | +} |
| 1795 | + |
| 1796 | +div.warning p.admonition-title { |
| 1797 | + background-color: #CF0000; |
| 1798 | + border-bottom-color: #940000; |
| 1799 | +} |
| 1800 | + |
| 1801 | +div.admonition ul, div.admonition ol, |
| 1802 | +div.warning ul, div.warning ol { |
| 1803 | + margin: 0.1em 0.5em 0.5em 3em; |
| 1804 | + padding: 0; |
| 1805 | +} |
| 1806 | + |
| 1807 | +div.versioninfo { |
| 1808 | + margin: 1em 0 0 0; |
| 1809 | + border: 1px solid #ccc; |
| 1810 | + background-color: #DDEAF0; |
| 1811 | + padding: 8px; |
| 1812 | + line-height: 1.3em; |
| 1813 | + font-size: 0.9em; |
| 1814 | +} |
| 1815 | + |
| 1816 | + |
| 1817 | +a.headerlink { |
| 1818 | + color: #c60f0f!important; |
| 1819 | + font-size: 1em; |
| 1820 | + margin-left: 6px; |
| 1821 | + padding: 0 4px 0 4px; |
| 1822 | + text-decoration: none!important; |
| 1823 | + visibility: hidden; |
| 1824 | +} |
| 1825 | + |
| 1826 | +h1:hover > a.headerlink, |
| 1827 | +h2:hover > a.headerlink, |
| 1828 | +h3:hover > a.headerlink, |
| 1829 | +h4:hover > a.headerlink, |
| 1830 | +h5:hover > a.headerlink, |
| 1831 | +h6:hover > a.headerlink, |
| 1832 | +dt:hover > a.headerlink { |
| 1833 | + visibility: visible; |
| 1834 | +} |
| 1835 | + |
| 1836 | +a.headerlink:hover { |
| 1837 | + background-color: #ccc; |
| 1838 | + color: white!important; |
| 1839 | +} |
| 1840 | + |
| 1841 | +table.indextable td { |
| 1842 | + text-align: left; |
| 1843 | + vertical-align: top; |
| 1844 | +} |
| 1845 | + |
| 1846 | +table.indextable dl, table.indextable dd { |
| 1847 | + margin-top: 0; |
| 1848 | + margin-bottom: 0; |
| 1849 | +} |
| 1850 | + |
| 1851 | +table.indextable tr.pcap { |
| 1852 | + height: 10px; |
| 1853 | +} |
| 1854 | + |
| 1855 | +table.indextable tr.cap { |
| 1856 | + margin-top: 10px; |
| 1857 | + background-color: #f2f2f2; |
| 1858 | +} |
| 1859 | + |
| 1860 | +img.toggler { |
| 1861 | + margin-right: 3px; |
| 1862 | + margin-top: 3px; |
| 1863 | + cursor: pointer; |
| 1864 | +} |
| 1865 | + |
| 1866 | +form.pfform { |
| 1867 | + margin: 10px 0 20px 0; |
| 1868 | +} |
| 1869 | + |
| 1870 | +table.contentstable { |
| 1871 | + width: 90%; |
| 1872 | +} |
| 1873 | + |
| 1874 | +table.contentstable p.biglink { |
| 1875 | + line-height: 150%; |
| 1876 | +} |
| 1877 | + |
| 1878 | +a.biglink { |
| 1879 | + font-size: 1.3em; |
| 1880 | +} |
| 1881 | + |
| 1882 | +span.linkdescr { |
| 1883 | + font-style: italic; |
| 1884 | + padding-top: 5px; |
| 1885 | + font-size: 90%; |
| 1886 | +} |
| 1887 | + |
| 1888 | +ul.search { |
| 1889 | + margin: 10px 0 0 20px; |
| 1890 | + padding: 0; |
| 1891 | +} |
| 1892 | + |
| 1893 | +ul.search li { |
| 1894 | + padding: 5px 0 5px 20px; |
| 1895 | + background-image: url(file.png); |
| 1896 | + background-repeat: no-repeat; |
| 1897 | + background-position: 0 7px; |
| 1898 | +} |
| 1899 | + |
| 1900 | +ul.search li a { |
| 1901 | + font-weight: bold; |
| 1902 | +} |
| 1903 | + |
| 1904 | +ul.search li div.context { |
| 1905 | + color: #888; |
| 1906 | + margin: 2px 0 0 30px; |
| 1907 | + text-align: left; |
| 1908 | +} |
| 1909 | + |
| 1910 | +ul.keywordmatches li.goodmatch a { |
| 1911 | + font-weight: bold; |
| 1912 | +} |
| 1913 | + |
| 1914 | +img.math { |
| 1915 | + vertical-align: middle; |
| 1916 | +} |
| 1917 | + |
| 1918 | +div.math { |
| 1919 | + text-align: center; |
| 1920 | +} |
| 1921 | + |
| 1922 | +span.eqno { |
| 1923 | + float: right; |
| 1924 | +} |
| 1925 | + |
| 1926 | +img.logo { |
| 1927 | + border: 0; |
| 1928 | +} |
| 1929 | + |
| 1930 | +span.raise { |
| 1931 | + vertical-align:super; |
| 1932 | + font-size: .7em; |
| 1933 | +} |
| 1934 | + |
| 1935 | +ul { |
| 1936 | + list-style-type: disc; |
| 1937 | +} |
| 1938 | + |
| 1939 | + |
| 1940 | |
| 1941 | === added file 'doc/build/html/_static/default.css' |
| 1942 | --- doc/build/html/_static/default.css 1970-01-01 00:00:00 +0000 |
| 1943 | +++ doc/build/html/_static/default.css 2010-12-10 13:03:35 +0000 |
| 1944 | @@ -0,0 +1,256 @@ |
| 1945 | +/* |
| 1946 | + * default.css_t |
| 1947 | + * ~~~~~~~~~~~~~ |
| 1948 | + * |
| 1949 | + * Sphinx stylesheet -- default theme. |
| 1950 | + * |
| 1951 | + * :copyright: Copyright 2007-2010 by the Sphinx team, see AUTHORS. |
| 1952 | + * :license: BSD, see LICENSE for details. |
| 1953 | + * |
| 1954 | + */ |
| 1955 | + |
| 1956 | +@import url("basic.css"); |
| 1957 | + |
| 1958 | +/* -- page layout ----------------------------------------------------------- */ |
| 1959 | + |
| 1960 | +body { |
| 1961 | + font-family: sans-serif; |
| 1962 | + font-size: 100%; |
| 1963 | + background-color: #11303d; |
| 1964 | + color: #000; |
| 1965 | + margin: 0; |
| 1966 | + padding: 0; |
| 1967 | +} |
| 1968 | + |
| 1969 | +div.document { |
| 1970 | + background-color: #1c4e63; |
| 1971 | +} |
| 1972 | + |
| 1973 | +div.documentwrapper { |
| 1974 | + float: left; |
| 1975 | + width: 100%; |
| 1976 | +} |
| 1977 | + |
| 1978 | +div.bodywrapper { |
| 1979 | + margin: 0 0 0 230px; |
| 1980 | +} |
| 1981 | + |
| 1982 | +div.body { |
| 1983 | + background-color: #ffffff; |
| 1984 | + color: #000000; |
| 1985 | + padding: 0 20px 30px 20px; |
| 1986 | +} |
| 1987 | + |
| 1988 | +div.footer { |
| 1989 | + color: #ffffff; |
| 1990 | + width: 100%; |
| 1991 | + padding: 9px 0 9px 0; |
| 1992 | + text-align: center; |
| 1993 | + font-size: 75%; |
| 1994 | +} |
| 1995 | + |
| 1996 | +div.footer a { |
| 1997 | + color: #ffffff; |
| 1998 | + text-decoration: underline; |
| 1999 | +} |
| 2000 | + |
| 2001 | +div.related { |
| 2002 | + background-color: #133f52; |
| 2003 | + line-height: 30px; |
| 2004 | + color: #ffffff; |
| 2005 | +} |
| 2006 | + |
| 2007 | +div.related a { |
| 2008 | + color: #ffffff; |
| 2009 | +} |
| 2010 | + |
| 2011 | +div.sphinxsidebar { |
| 2012 | +} |
| 2013 | + |
| 2014 | +div.sphinxsidebar h3 { |
| 2015 | + font-family: 'Trebuchet MS', sans-serif; |
| 2016 | + color: #ffffff; |
| 2017 | + font-size: 1.4em; |
| 2018 | + font-weight: normal; |
| 2019 | + margin: 0; |
| 2020 | + padding: 0; |
| 2021 | +} |
| 2022 | + |
| 2023 | +div.sphinxsidebar h3 a { |
| 2024 | + color: #ffffff; |
| 2025 | +} |
| 2026 | + |
| 2027 | +div.sphinxsidebar h4 { |
| 2028 | + font-family: 'Trebuchet MS', sans-serif; |
| 2029 | + color: #ffffff; |
| 2030 | + font-size: 1.3em; |
| 2031 | + font-weight: normal; |
| 2032 | + margin: 5px 0 0 0; |
| 2033 | + padding: 0; |
| 2034 | +} |
| 2035 | + |
| 2036 | +div.sphinxsidebar p { |
| 2037 | + color: #ffffff; |
| 2038 | +} |
| 2039 | + |
| 2040 | +div.sphinxsidebar p.topless { |
| 2041 | + margin: 5px 10px 10px 10px; |
| 2042 | +} |
| 2043 | + |
| 2044 | +div.sphinxsidebar ul { |
| 2045 | + margin: 10px; |
| 2046 | + padding: 0; |
| 2047 | + color: #ffffff; |
| 2048 | +} |
| 2049 | + |
| 2050 | +div.sphinxsidebar a { |
| 2051 | + color: #98dbcc; |
| 2052 | +} |
| 2053 | + |
| 2054 | +div.sphinxsidebar input { |
| 2055 | + border: 1px solid #98dbcc; |
| 2056 | + font-family: sans-serif; |
| 2057 | + font-size: 1em; |
| 2058 | +} |
| 2059 | + |
| 2060 | + |
| 2061 | + |
| 2062 | +/* -- hyperlink styles ------------------------------------------------------ */ |
| 2063 | + |
| 2064 | +a { |
| 2065 | + color: #355f7c; |
| 2066 | + text-decoration: none; |
| 2067 | +} |
| 2068 | + |
| 2069 | +a:visited { |
| 2070 | + color: #355f7c; |
| 2071 | + text-decoration: none; |
| 2072 | +} |
| 2073 | + |
| 2074 | +a:hover { |
| 2075 | + text-decoration: underline; |
| 2076 | +} |
| 2077 | + |
| 2078 | + |
| 2079 | + |
| 2080 | +/* -- body styles ----------------------------------------------------------- */ |
| 2081 | + |
| 2082 | +div.body h1, |
| 2083 | +div.body h2, |
| 2084 | +div.body h3, |
| 2085 | +div.body h4, |
| 2086 | +div.body h5, |
| 2087 | +div.body h6 { |
| 2088 | + font-family: 'Trebuchet MS', sans-serif; |
| 2089 | + background-color: #f2f2f2; |
| 2090 | + font-weight: normal; |
| 2091 | + color: #20435c; |
| 2092 | + border-bottom: 1px solid #ccc; |
| 2093 | + margin: 20px -20px 10px -20px; |
| 2094 | + padding: 3px 0 3px 10px; |
| 2095 | +} |
| 2096 | + |
| 2097 | +div.body h1 { margin-top: 0; font-size: 200%; } |
| 2098 | +div.body h2 { font-size: 160%; } |
| 2099 | +div.body h3 { font-size: 140%; } |
| 2100 | +div.body h4 { font-size: 120%; } |
| 2101 | +div.body h5 { font-size: 110%; } |
| 2102 | +div.body h6 { font-size: 100%; } |
| 2103 | + |
| 2104 | +a.headerlink { |
| 2105 | + color: #c60f0f; |
| 2106 | + font-size: 0.8em; |
| 2107 | + padding: 0 4px 0 4px; |
| 2108 | + text-decoration: none; |
| 2109 | +} |
| 2110 | + |
| 2111 | +a.headerlink:hover { |
| 2112 | + background-color: #c60f0f; |
| 2113 | + color: white; |
| 2114 | +} |
| 2115 | + |
| 2116 | +div.body p, div.body dd, div.body li { |
| 2117 | + text-align: justify; |
| 2118 | + line-height: 130%; |
| 2119 | +} |
| 2120 | + |
| 2121 | +div.admonition p.admonition-title + p { |
| 2122 | + display: inline; |
| 2123 | +} |
| 2124 | + |
| 2125 | +div.admonition p { |
| 2126 | + margin-bottom: 5px; |
| 2127 | +} |
| 2128 | + |
| 2129 | +div.admonition pre { |
| 2130 | + margin-bottom: 5px; |
| 2131 | +} |
| 2132 | + |
| 2133 | +div.admonition ul, div.admonition ol { |
| 2134 | + margin-bottom: 5px; |
| 2135 | +} |
| 2136 | + |
| 2137 | +div.note { |
| 2138 | + background-color: #eee; |
| 2139 | + border: 1px solid #ccc; |
| 2140 | +} |
| 2141 | + |
| 2142 | +div.seealso { |
| 2143 | + background-color: #ffc; |
| 2144 | + border: 1px solid #ff6; |
| 2145 | +} |
| 2146 | + |
| 2147 | +div.topic { |
| 2148 | + background-color: #eee; |
| 2149 | +} |
| 2150 | + |
| 2151 | +div.warning { |
| 2152 | + background-color: #ffe4e4; |
| 2153 | + border: 1px solid #f66; |
| 2154 | +} |
| 2155 | + |
| 2156 | +p.admonition-title { |
| 2157 | + display: inline; |
| 2158 | +} |
| 2159 | + |
| 2160 | +p.admonition-title:after { |
| 2161 | + content: ":"; |
| 2162 | +} |
| 2163 | + |
| 2164 | +pre { |
| 2165 | + padding: 5px; |
| 2166 | + background-color: #eeffcc; |
| 2167 | + color: #333333; |
| 2168 | + line-height: 120%; |
| 2169 | + border: 1px solid #ac9; |
| 2170 | + border-left: none; |
| 2171 | + border-right: none; |
| 2172 | +} |
| 2173 | + |
| 2174 | +tt { |
| 2175 | + background-color: #ecf0f3; |
| 2176 | + padding: 0 1px 0 1px; |
| 2177 | + font-size: 0.95em; |
| 2178 | +} |
| 2179 | + |
| 2180 | +th { |
| 2181 | + background-color: #ede; |
| 2182 | +} |
| 2183 | + |
| 2184 | +.warning tt { |
| 2185 | + background: #efc2c2; |
| 2186 | +} |
| 2187 | + |
| 2188 | +.note tt { |
| 2189 | + background: #d6d6d6; |
| 2190 | +} |
| 2191 | + |
| 2192 | +.viewcode-back { |
| 2193 | + font-family: sans-serif; |
| 2194 | +} |
| 2195 | + |
| 2196 | +div.viewcode-block:target { |
| 2197 | + background-color: #f4debf; |
| 2198 | + border-top: 1px solid #ac9; |
| 2199 | + border-bottom: 1px solid #ac9; |
| 2200 | +} |
| 2201 | \ No newline at end of file |
| 2202 | |
| 2203 | === added file 'doc/build/html/_static/doctools.js' |
| 2204 | --- doc/build/html/_static/doctools.js 1970-01-01 00:00:00 +0000 |
| 2205 | +++ doc/build/html/_static/doctools.js 2010-12-10 13:03:35 +0000 |
| 2206 | @@ -0,0 +1,247 @@ |
| 2207 | +/* |
| 2208 | + * doctools.js |
| 2209 | + * ~~~~~~~~~~~ |
| 2210 | + * |
| 2211 | + * Sphinx JavaScript utilties for all documentation. |
| 2212 | + * |
| 2213 | + * :copyright: Copyright 2007-2010 by the Sphinx team, see AUTHORS. |
| 2214 | + * :license: BSD, see LICENSE for details. |
| 2215 | + * |
| 2216 | + */ |
| 2217 | + |
| 2218 | +/** |
| 2219 | + * select a different prefix for underscore |
| 2220 | + */ |
| 2221 | +$u = _.noConflict(); |
| 2222 | + |
| 2223 | +/** |
| 2224 | + * make the code below compatible with browsers without |
| 2225 | + * an installed firebug like debugger |
| 2226 | +if (!window.console || !console.firebug) { |
| 2227 | + var names = ["log", "debug", "info", "warn", "error", "assert", "dir", |
| 2228 | + "dirxml", "group", "groupEnd", "time", "timeEnd", "count", "trace", |
| 2229 | + "profile", "profileEnd"]; |
| 2230 | + window.console = {}; |
| 2231 | + for (var i = 0; i < names.length; ++i) |
| 2232 | + window.console[names[i]] = function() {}; |
| 2233 | +} |
| 2234 | + */ |
| 2235 | + |
| 2236 | +/** |
| 2237 | + * small helper function to urldecode strings |
| 2238 | + */ |
| 2239 | +jQuery.urldecode = function(x) { |
| 2240 | + return decodeURIComponent(x).replace(/\+/g, ' '); |
| 2241 | +} |
| 2242 | + |
| 2243 | +/** |
| 2244 | + * small helper function to urlencode strings |
| 2245 | + */ |
| 2246 | +jQuery.urlencode = encodeURIComponent; |
| 2247 | + |
| 2248 | +/** |
| 2249 | + * This function returns the parsed url parameters of the |
| 2250 | + * current request. Multiple values per key are supported, |
| 2251 | + * it will always return arrays of strings for the value parts. |
| 2252 | + */ |
| 2253 | +jQuery.getQueryParameters = function(s) { |
| 2254 | + if (typeof s == 'undefined') |
| 2255 | + s = document.location.search; |
| 2256 | + var parts = s.substr(s.indexOf('?') + 1).split('&'); |
| 2257 | + var result = {}; |
| 2258 | + for (var i = 0; i < parts.length; i++) { |
| 2259 | + var tmp = parts[i].split('=', 2); |
| 2260 | + var key = jQuery.urldecode(tmp[0]); |
| 2261 | + var value = jQuery.urldecode(tmp[1]); |
| 2262 | + if (key in result) |
| 2263 | + result[key].push(value); |
| 2264 | + else |
| 2265 | + result[key] = [value]; |
| 2266 | + } |
| 2267 | + return result; |
| 2268 | +}; |
| 2269 | + |
| 2270 | +/** |
| 2271 | + * small function to check if an array contains |
| 2272 | + * a given item. |
| 2273 | + */ |
| 2274 | +jQuery.contains = function(arr, item) { |
| 2275 | + for (var i = 0; i < arr.length; i++) { |
| 2276 | + if (arr[i] == item) |
| 2277 | + return true; |
| 2278 | + } |
| 2279 | + return false; |
| 2280 | +}; |
| 2281 | + |
| 2282 | +/** |
| 2283 | + * highlight a given string on a jquery object by wrapping it in |
| 2284 | + * span elements with the given class name. |
| 2285 | + */ |
| 2286 | +jQuery.fn.highlightText = function(text, className) { |
| 2287 | + function highlight(node) { |
| 2288 | + if (node.nodeType == 3) { |
| 2289 | + var val = node.nodeValue; |
| 2290 | + var pos = val.toLowerCase().indexOf(text); |
| 2291 | + if (pos >= 0 && !jQuery(node.parentNode).hasClass(className)) { |
| 2292 | + var span = document.createElement("span"); |
| 2293 | + span.className = className; |
| 2294 | + span.appendChild(document.createTextNode(val.substr(pos, text.length))); |
| 2295 | + node.parentNode.insertBefore(span, node.parentNode.insertBefore( |
| 2296 | + document.createTextNode(val.substr(pos + text.length)), |
| 2297 | + node.nextSibling)); |
| 2298 | + node.nodeValue = val.substr(0, pos); |
| 2299 | + } |
| 2300 | + } |
| 2301 | + else if (!jQuery(node).is("button, select, textarea")) { |
| 2302 | + jQuery.each(node.childNodes, function() { |
| 2303 | + highlight(this); |
| 2304 | + }); |
| 2305 | + } |
| 2306 | + } |
| 2307 | + return this.each(function() { |
| 2308 | + highlight(this); |
| 2309 | + }); |
| 2310 | +}; |
| 2311 | + |
| 2312 | +/** |
| 2313 | + * Small JavaScript module for the documentation. |
| 2314 | + */ |
| 2315 | +var Documentation = { |
| 2316 | + |
| 2317 | + init : function() { |
| 2318 | + this.fixFirefoxAnchorBug(); |
| 2319 | + this.highlightSearchWords(); |
| 2320 | + this.initIndexTable(); |
| 2321 | + }, |
| 2322 | + |
| 2323 | + /** |
| 2324 | + * i18n support |
| 2325 | + */ |
| 2326 | + TRANSLATIONS : {}, |
| 2327 | + PLURAL_EXPR : function(n) { return n == 1 ? 0 : 1; }, |
| 2328 | + LOCALE : 'unknown', |
| 2329 | + |
| 2330 | + // gettext and ngettext don't access this so that the functions |
| 2331 | + // can safely bound to a different name (_ = Documentation.gettext) |
| 2332 | + gettext : function(string) { |
| 2333 | + var translated = Documentation.TRANSLATIONS[string]; |
| 2334 | + if (typeof translated == 'undefined') |
| 2335 | + return string; |
| 2336 | + return (typeof translated == 'string') ? translated : translated[0]; |
| 2337 | + }, |
| 2338 | + |
| 2339 | + ngettext : function(singular, plural, n) { |
| 2340 | + var translated = Documentation.TRANSLATIONS[singular]; |
| 2341 | + if (typeof translated == 'undefined') |
| 2342 | + return (n == 1) ? singular : plural; |
| 2343 | + return translated[Documentation.PLURALEXPR(n)]; |
| 2344 | + }, |
| 2345 | + |
| 2346 | + addTranslations : function(catalog) { |
| 2347 | + for (var key in catalog.messages) |
| 2348 | + this.TRANSLATIONS[key] = catalog.messages[key]; |
| 2349 | + this.PLURAL_EXPR = new Function('n', 'return +(' + catalog.plural_expr + ')'); |
| 2350 | + this.LOCALE = catalog.locale; |
| 2351 | + }, |
| 2352 | + |
| 2353 | + /** |
| 2354 | + * add context elements like header anchor links |
| 2355 | + */ |
| 2356 | + addContextElements : function() { |
| 2357 | + $('div[id] > :header:first').each(function() { |
| 2358 | + $('<a class="headerlink">\u00B6</a>'). |
| 2359 | + attr('href', '#' + this.id). |
| 2360 | + attr('title', _('Permalink to this headline')). |
| 2361 | + appendTo(this); |
| 2362 | + }); |
| 2363 | + $('dt[id]').each(function() { |
| 2364 | + $('<a class="headerlink">\u00B6</a>'). |
| 2365 | + attr('href', '#' + this.id). |
| 2366 | + attr('title', _('Permalink to this definition')). |
| 2367 | + appendTo(this); |
| 2368 | + }); |
| 2369 | + }, |
| 2370 | + |
| 2371 | + /** |
| 2372 | + * workaround a firefox stupidity |
| 2373 | + */ |
| 2374 | + fixFirefoxAnchorBug : function() { |
| 2375 | + if (document.location.hash && $.browser.mozilla) |
| 2376 | + window.setTimeout(function() { |
| 2377 | + document.location.href += ''; |
| 2378 | + }, 10); |
| 2379 | + }, |
| 2380 | + |
| 2381 | + /** |
| 2382 | + * highlight the search words provided in the url in the text |
| 2383 | + */ |
| 2384 | + highlightSearchWords : function() { |
| 2385 | + var params = $.getQueryParameters(); |
| 2386 | + var terms = (params.highlight) ? params.highlight[0].split(/\s+/) : []; |
| 2387 | + if (terms.length) { |
| 2388 | + var body = $('div.body'); |
| 2389 | + window.setTimeout(function() { |
| 2390 | + $.each(terms, function() { |
| 2391 | + body.highlightText(this.toLowerCase(), 'highlighted'); |
| 2392 | + }); |
| 2393 | + }, 10); |
| 2394 | + $('<li class="highlight-link"><a href="javascript:Documentation.' + |
| 2395 | + 'hideSearchWords()">' + _('Hide Search Matches') + '</a></li>') |
| 2396 | + .appendTo($('.sidebar .this-page-menu')); |
| 2397 | + } |
| 2398 | + }, |
| 2399 | + |
| 2400 | + /** |
| 2401 | + * init the domain index toggle buttons |
| 2402 | + */ |
| 2403 | + initIndexTable : function() { |
| 2404 | + var togglers = $('img.toggler').click(function() { |
| 2405 | + var src = $(this).attr('src'); |
| 2406 | + var idnum = $(this).attr('id').substr(7); |
| 2407 | + $('tr.cg-' + idnum).toggle(); |
| 2408 | + if (src.substr(-9) == 'minus.png') |
| 2409 | + $(this).attr('src', src.substr(0, src.length-9) + 'plus.png'); |
| 2410 | + else |
| 2411 | + $(this).attr('src', src.substr(0, src.length-8) + 'minus.png'); |
| 2412 | + }).css('display', ''); |
| 2413 | + if (DOCUMENTATION_OPTIONS.COLLAPSE_INDEX) { |
| 2414 | + togglers.click(); |
| 2415 | + } |
| 2416 | + }, |
| 2417 | + |
| 2418 | + /** |
| 2419 | + * helper function to hide the search marks again |
| 2420 | + */ |
| 2421 | + hideSearchWords : function() { |
| 2422 | + $('.sidebar .this-page-menu li.highlight-link').fadeOut(300); |
| 2423 | + $('span.highlighted').removeClass('highlighted'); |
| 2424 | + }, |
| 2425 | + |
| 2426 | + /** |
| 2427 | + * make the url absolute |
| 2428 | + */ |
| 2429 | + makeURL : function(relativeURL) { |
| 2430 | + return DOCUMENTATION_OPTIONS.URL_ROOT + '/' + relativeURL; |
| 2431 | + }, |
| 2432 | + |
| 2433 | + /** |
| 2434 | + * get the current relative url |
| 2435 | + */ |
| 2436 | + getCurrentURL : function() { |
| 2437 | + var path = document.location.pathname; |
| 2438 | + var parts = path.split(/\//); |
| 2439 | + $.each(DOCUMENTATION_OPTIONS.URL_ROOT.split(/\//), function() { |
| 2440 | + if (this == '..') |
| 2441 | + parts.pop(); |
| 2442 | + }); |
| 2443 | + var url = parts.join('/'); |
| 2444 | + return path.substring(url.lastIndexOf('/') + 1, path.length - 1); |
| 2445 | + } |
| 2446 | +}; |
| 2447 | + |
| 2448 | +// quick alias for translations |
| 2449 | +_ = Documentation.gettext; |
| 2450 | + |
| 2451 | +$(document).ready(function() { |
| 2452 | + Documentation.init(); |
| 2453 | +}); |
| 2454 | |
| 2455 | === added file 'doc/build/html/_static/file.png' |
| 2456 | Binary files doc/build/html/_static/file.png 1970-01-01 00:00:00 +0000 and doc/build/html/_static/file.png 2010-12-10 13:03:35 +0000 differ |
| 2457 | === added file 'doc/build/html/_static/jquery.js' |
| 2458 | --- doc/build/html/_static/jquery.js 1970-01-01 00:00:00 +0000 |
| 2459 | +++ doc/build/html/_static/jquery.js 2010-12-10 13:03:35 +0000 |
| 2460 | @@ -0,0 +1,154 @@ |
| 2461 | +/*! |
| 2462 | + * jQuery JavaScript Library v1.4.2 |
| 2463 | + * http://jquery.com/ |
| 2464 | + * |
| 2465 | + * Copyright 2010, John Resig |
| 2466 | + * Dual licensed under the MIT or GPL Version 2 licenses. |
| 2467 | + * http://jquery.org/license |
| 2468 | + * |
| 2469 | + * Includes Sizzle.js |
| 2470 | + * http://sizzlejs.com/ |
| 2471 | + * Copyright 2010, The Dojo Foundation |
| 2472 | + * Released under the MIT, BSD, and GPL Licenses. |
| 2473 | + * |
| 2474 | + * Date: Sat Feb 13 22:33:48 2010 -0500 |
| 2475 | + */ |
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| 2608 | +f.position==="fixed"){k+=Math.max(i.scrollTop,o.scrollTop);n+=Math.max(i.scrollLeft,o.scrollLeft)}return{top:k,left:n}};c.offset={initialize:function(){var a=s.body,b=s.createElement("div"),d,f,e,j=parseFloat(c.curCSS(a,"marginTop",true))||0;c.extend(b.style,{position:"absolute",top:0,left:0,margin:0,border:0,width:"1px",height:"1px",visibility:"hidden"});b.innerHTML="<div style='position:absolute;top:0;left:0;margin:0;border:5px solid #000;padding:0;width:1px;height:1px;'><div></div></div><table style='position:absolute;top:0;left:0;margin:0;border:5px solid #000;padding:0;width:1px;height:1px;' cellpadding='0' cellspacing='0'><tr><td></td></tr></table>"; |
| 2609 | +a.insertBefore(b,a.firstChild);d=b.firstChild;f=d.firstChild;e=d.nextSibling.firstChild.firstChild;this.doesNotAddBorder=f.offsetTop!==5;this.doesAddBorderForTableAndCells=e.offsetTop===5;f.style.position="fixed";f.style.top="20px";this.supportsFixedPosition=f.offsetTop===20||f.offsetTop===15;f.style.position=f.style.top="";d.style.overflow="hidden";d.style.position="relative";this.subtractsBorderForOverflowNotVisible=f.offsetTop===-5;this.doesNotIncludeMarginInBodyOffset=a.offsetTop!==j;a.removeChild(b); |
| 2610 | +c.offset.initialize=c.noop},bodyOffset:function(a){var b=a.offsetTop,d=a.offsetLeft;c.offset.initialize();if(c.offset.doesNotIncludeMarginInBodyOffset){b+=parseFloat(c.curCSS(a,"marginTop",true))||0;d+=parseFloat(c.curCSS(a,"marginLeft",true))||0}return{top:b,left:d}},setOffset:function(a,b,d){if(/static/.test(c.curCSS(a,"position")))a.style.position="relative";var f=c(a),e=f.offset(),j=parseInt(c.curCSS(a,"top",true),10)||0,i=parseInt(c.curCSS(a,"left",true),10)||0;if(c.isFunction(b))b=b.call(a, |
| 2611 | +d,e);d={top:b.top-e.top+j,left:b.left-e.left+i};"using"in b?b.using.call(a,d):f.css(d)}};c.fn.extend({position:function(){if(!this[0])return null;var a=this[0],b=this.offsetParent(),d=this.offset(),f=/^body|html$/i.test(b[0].nodeName)?{top:0,left:0}:b.offset();d.top-=parseFloat(c.curCSS(a,"marginTop",true))||0;d.left-=parseFloat(c.curCSS(a,"marginLeft",true))||0;f.top+=parseFloat(c.curCSS(b[0],"borderTopWidth",true))||0;f.left+=parseFloat(c.curCSS(b[0],"borderLeftWidth",true))||0;return{top:d.top- |
| 2612 | +f.top,left:d.left-f.left}},offsetParent:function(){return this.map(function(){for(var a=this.offsetParent||s.body;a&&!/^body|html$/i.test(a.nodeName)&&c.css(a,"position")==="static";)a=a.offsetParent;return a})}});c.each(["Left","Top"],function(a,b){var d="scroll"+b;c.fn[d]=function(f){var e=this[0],j;if(!e)return null;if(f!==w)return this.each(function(){if(j=wa(this))j.scrollTo(!a?f:c(j).scrollLeft(),a?f:c(j).scrollTop());else this[d]=f});else return(j=wa(e))?"pageXOffset"in j?j[a?"pageYOffset": |
| 2613 | +"pageXOffset"]:c.support.boxModel&&j.document.documentElement[d]||j.document.body[d]:e[d]}});c.each(["Height","Width"],function(a,b){var d=b.toLowerCase();c.fn["inner"+b]=function(){return this[0]?c.css(this[0],d,false,"padding"):null};c.fn["outer"+b]=function(f){return this[0]?c.css(this[0],d,false,f?"margin":"border"):null};c.fn[d]=function(f){var e=this[0];if(!e)return f==null?null:this;if(c.isFunction(f))return this.each(function(j){var i=c(this);i[d](f.call(this,j,i[d]()))});return"scrollTo"in |
| 2614 | +e&&e.document?e.document.compatMode==="CSS1Compat"&&e.document.documentElement["client"+b]||e.document.body["client"+b]:e.nodeType===9?Math.max(e.documentElement["client"+b],e.body["scroll"+b],e.documentElement["scroll"+b],e.body["offset"+b],e.documentElement["offset"+b]):f===w?c.css(e,d):this.css(d,typeof f==="string"?f:f+"px")}});A.jQuery=A.$=c})(window); |
| 2615 | |
| 2616 | === added file 'doc/build/html/_static/minus.png' |
| 2617 | Binary files doc/build/html/_static/minus.png 1970-01-01 00:00:00 +0000 and doc/build/html/_static/minus.png 2010-12-10 13:03:35 +0000 differ |
| 2618 | === added file 'doc/build/html/_static/plus.png' |
| 2619 | Binary files doc/build/html/_static/plus.png 1970-01-01 00:00:00 +0000 and doc/build/html/_static/plus.png 2010-12-10 13:03:35 +0000 differ |
| 2620 | === added file 'doc/build/html/_static/pygments.css' |
| 2621 | --- doc/build/html/_static/pygments.css 1970-01-01 00:00:00 +0000 |
| 2622 | +++ doc/build/html/_static/pygments.css 2010-12-10 13:03:35 +0000 |
| 2623 | @@ -0,0 +1,62 @@ |
| 2624 | +.highlight .hll { background-color: #ffffcc } |
| 2625 | +.highlight { background: #eeffcc; } |
| 2626 | +.highlight .c { color: #408090; font-style: italic } /* Comment */ |
| 2627 | +.highlight .err { border: 1px solid #FF0000 } /* Error */ |
| 2628 | +.highlight .k { color: #007020; font-weight: bold } /* Keyword */ |
| 2629 | +.highlight .o { color: #666666 } /* Operator */ |
| 2630 | +.highlight .cm { color: #408090; font-style: italic } /* Comment.Multiline */ |
| 2631 | +.highlight .cp { color: #007020 } /* Comment.Preproc */ |
| 2632 | +.highlight .c1 { color: #408090; font-style: italic } /* Comment.Single */ |
| 2633 | +.highlight .cs { color: #408090; background-color: #fff0f0 } /* Comment.Special */ |
| 2634 | +.highlight .gd { color: #A00000 } /* Generic.Deleted */ |
| 2635 | +.highlight .ge { font-style: italic } /* Generic.Emph */ |
| 2636 | +.highlight .gr { color: #FF0000 } /* Generic.Error */ |
| 2637 | +.highlight .gh { color: #000080; font-weight: bold } /* Generic.Heading */ |
| 2638 | +.highlight .gi { color: #00A000 } /* Generic.Inserted */ |
| 2639 | +.highlight .go { color: #303030 } /* Generic.Output */ |
| 2640 | +.highlight .gp { color: #c65d09; font-weight: bold } /* Generic.Prompt */ |
| 2641 | +.highlight .gs { font-weight: bold } /* Generic.Strong */ |
| 2642 | +.highlight .gu { color: #800080; font-weight: bold } /* Generic.Subheading */ |
| 2643 | +.highlight .gt { color: #0040D0 } /* Generic.Traceback */ |
| 2644 | +.highlight .kc { color: #007020; font-weight: bold } /* Keyword.Constant */ |
| 2645 | +.highlight .kd { color: #007020; font-weight: bold } /* Keyword.Declaration */ |
| 2646 | +.highlight .kn { color: #007020; font-weight: bold } /* Keyword.Namespace */ |
| 2647 | +.highlight .kp { color: #007020 } /* Keyword.Pseudo */ |
| 2648 | +.highlight .kr { color: #007020; font-weight: bold } /* Keyword.Reserved */ |
| 2649 | +.highlight .kt { color: #902000 } /* Keyword.Type */ |
| 2650 | +.highlight .m { color: #208050 } /* Literal.Number */ |
| 2651 | +.highlight .s { color: #4070a0 } /* Literal.String */ |
| 2652 | +.highlight .na { color: #4070a0 } /* Name.Attribute */ |
| 2653 | +.highlight .nb { color: #007020 } /* Name.Builtin */ |
| 2654 | +.highlight .nc { color: #0e84b5; font-weight: bold } /* Name.Class */ |
| 2655 | +.highlight .no { color: #60add5 } /* Name.Constant */ |
| 2656 | +.highlight .nd { color: #555555; font-weight: bold } /* Name.Decorator */ |
| 2657 | +.highlight .ni { color: #d55537; font-weight: bold } /* Name.Entity */ |
| 2658 | +.highlight .ne { color: #007020 } /* Name.Exception */ |
| 2659 | +.highlight .nf { color: #06287e } /* Name.Function */ |
| 2660 | +.highlight .nl { color: #002070; font-weight: bold } /* Name.Label */ |
| 2661 | +.highlight .nn { color: #0e84b5; font-weight: bold } /* Name.Namespace */ |
| 2662 | +.highlight .nt { color: #062873; font-weight: bold } /* Name.Tag */ |
| 2663 | +.highlight .nv { color: #bb60d5 } /* Name.Variable */ |
| 2664 | +.highlight .ow { color: #007020; font-weight: bold } /* Operator.Word */ |
| 2665 | +.highlight .w { color: #bbbbbb } /* Text.Whitespace */ |
| 2666 | +.highlight .mf { color: #208050 } /* Literal.Number.Float */ |
| 2667 | +.highlight .mh { color: #208050 } /* Literal.Number.Hex */ |
| 2668 | +.highlight .mi { color: #208050 } /* Literal.Number.Integer */ |
| 2669 | +.highlight .mo { color: #208050 } /* Literal.Number.Oct */ |
| 2670 | +.highlight .sb { color: #4070a0 } /* Literal.String.Backtick */ |
| 2671 | +.highlight .sc { color: #4070a0 } /* Literal.String.Char */ |
| 2672 | +.highlight .sd { color: #4070a0; font-style: italic } /* Literal.String.Doc */ |
| 2673 | +.highlight .s2 { color: #4070a0 } /* Literal.String.Double */ |
| 2674 | +.highlight .se { color: #4070a0; font-weight: bold } /* Literal.String.Escape */ |
| 2675 | +.highlight .sh { color: #4070a0 } /* Literal.String.Heredoc */ |
| 2676 | +.highlight .si { color: #70a0d0; font-style: italic } /* Literal.String.Interpol */ |
| 2677 | +.highlight .sx { color: #c65d09 } /* Literal.String.Other */ |
| 2678 | +.highlight .sr { color: #235388 } /* Literal.String.Regex */ |
| 2679 | +.highlight .s1 { color: #4070a0 } /* Literal.String.Single */ |
| 2680 | +.highlight .ss { color: #517918 } /* Literal.String.Symbol */ |
| 2681 | +.highlight .bp { color: #007020 } /* Name.Builtin.Pseudo */ |
| 2682 | +.highlight .vc { color: #bb60d5 } /* Name.Variable.Class */ |
| 2683 | +.highlight .vg { color: #bb60d5 } /* Name.Variable.Global */ |
| 2684 | +.highlight .vi { color: #bb60d5 } /* Name.Variable.Instance */ |
| 2685 | +.highlight .il { color: #208050 } /* Literal.Number.Integer.Long */ |
| 2686 | \ No newline at end of file |
| 2687 | |
| 2688 | === added file 'doc/build/html/_static/searchtools.js' |
| 2689 | --- doc/build/html/_static/searchtools.js 1970-01-01 00:00:00 +0000 |
| 2690 | +++ doc/build/html/_static/searchtools.js 2010-12-10 13:03:35 +0000 |
| 2691 | @@ -0,0 +1,518 @@ |
| 2692 | +/* |
| 2693 | + * searchtools.js |
| 2694 | + * ~~~~~~~~~~~~~~ |
| 2695 | + * |
| 2696 | + * Sphinx JavaScript utilties for the full-text search. |
| 2697 | + * |
| 2698 | + * :copyright: Copyright 2007-2010 by the Sphinx team, see AUTHORS. |
| 2699 | + * :license: BSD, see LICENSE for details. |
| 2700 | + * |
| 2701 | + */ |
| 2702 | + |
| 2703 | +/** |
| 2704 | + * helper function to return a node containing the |
| 2705 | + * search summary for a given text. keywords is a list |
| 2706 | + * of stemmed words, hlwords is the list of normal, unstemmed |
| 2707 | + * words. the first one is used to find the occurance, the |
| 2708 | + * latter for highlighting it. |
| 2709 | + */ |
| 2710 | + |
| 2711 | +jQuery.makeSearchSummary = function(text, keywords, hlwords) { |
| 2712 | + var textLower = text.toLowerCase(); |
| 2713 | + var start = 0; |
| 2714 | + $.each(keywords, function() { |
| 2715 | + var i = textLower.indexOf(this.toLowerCase()); |
| 2716 | + if (i > -1) |
| 2717 | + start = i; |
| 2718 | + }); |
| 2719 | + start = Math.max(start - 120, 0); |
| 2720 | + var excerpt = ((start > 0) ? '...' : '') + |
| 2721 | + $.trim(text.substr(start, 240)) + |
| 2722 | + ((start + 240 - text.length) ? '...' : ''); |
| 2723 | + var rv = $('<div class="context"></div>').text(excerpt); |
| 2724 | + $.each(hlwords, function() { |
| 2725 | + rv = rv.highlightText(this, 'highlighted'); |
| 2726 | + }); |
| 2727 | + return rv; |
| 2728 | +} |
| 2729 | + |
| 2730 | +/** |
| 2731 | + * Porter Stemmer |
| 2732 | + */ |
| 2733 | +var PorterStemmer = function() { |
| 2734 | + |
| 2735 | + var step2list = { |
| 2736 | + ational: 'ate', |
| 2737 | + tional: 'tion', |
| 2738 | + enci: 'ence', |
| 2739 | + anci: 'ance', |
| 2740 | + izer: 'ize', |
| 2741 | + bli: 'ble', |
| 2742 | + alli: 'al', |
| 2743 | + entli: 'ent', |
| 2744 | + eli: 'e', |
| 2745 | + ousli: 'ous', |
| 2746 | + ization: 'ize', |
| 2747 | + ation: 'ate', |
| 2748 | + ator: 'ate', |
| 2749 | + alism: 'al', |
| 2750 | + iveness: 'ive', |
| 2751 | + fulness: 'ful', |
| 2752 | + ousness: 'ous', |
| 2753 | + aliti: 'al', |
| 2754 | + iviti: 'ive', |
| 2755 | + biliti: 'ble', |
| 2756 | + logi: 'log' |
| 2757 | + }; |
| 2758 | + |
| 2759 | + var step3list = { |
| 2760 | + icate: 'ic', |
| 2761 | + ative: '', |
| 2762 | + alize: 'al', |
| 2763 | + iciti: 'ic', |
| 2764 | + ical: 'ic', |
| 2765 | + ful: '', |
| 2766 | + ness: '' |
| 2767 | + }; |
| 2768 | + |
| 2769 | + var c = "[^aeiou]"; // consonant |
| 2770 | + var v = "[aeiouy]"; // vowel |
| 2771 | + var C = c + "[^aeiouy]*"; // consonant sequence |
| 2772 | + var V = v + "[aeiou]*"; // vowel sequence |
| 2773 | + |
| 2774 | + var mgr0 = "^(" + C + ")?" + V + C; // [C]VC... is m>0 |
| 2775 | + var meq1 = "^(" + C + ")?" + V + C + "(" + V + ")?$"; // [C]VC[V] is m=1 |
| 2776 | + var mgr1 = "^(" + C + ")?" + V + C + V + C; // [C]VCVC... is m>1 |
| 2777 | + var s_v = "^(" + C + ")?" + v; // vowel in stem |
| 2778 | + |
| 2779 | + this.stemWord = function (w) { |
| 2780 | + var stem; |
| 2781 | + var suffix; |
| 2782 | + var firstch; |
| 2783 | + var origword = w; |
| 2784 | + |
| 2785 | + if (w.length < 3) |
| 2786 | + return w; |
| 2787 | + |
| 2788 | + var re; |
| 2789 | + var re2; |
| 2790 | + var re3; |
| 2791 | + var re4; |
| 2792 | + |
| 2793 | + firstch = w.substr(0,1); |
| 2794 | + if (firstch == "y") |
| 2795 | + w = firstch.toUpperCase() + w.substr(1); |
| 2796 | + |
| 2797 | + // Step 1a |
| 2798 | + re = /^(.+?)(ss|i)es$/; |
| 2799 | + re2 = /^(.+?)([^s])s$/; |
| 2800 | + |
| 2801 | + if (re.test(w)) |
| 2802 | + w = w.replace(re,"$1$2"); |
| 2803 | + else if (re2.test(w)) |
| 2804 | + w = w.replace(re2,"$1$2"); |
| 2805 | + |
| 2806 | + // Step 1b |
| 2807 | + re = /^(.+?)eed$/; |
| 2808 | + re2 = /^(.+?)(ed|ing)$/; |
| 2809 | + if (re.test(w)) { |
| 2810 | + var fp = re.exec(w); |
| 2811 | + re = new RegExp(mgr0); |
| 2812 | + if (re.test(fp[1])) { |
| 2813 | + re = /.$/; |
| 2814 | + w = w.replace(re,""); |
| 2815 | + } |
| 2816 | + } |
| 2817 | + else if (re2.test(w)) { |
| 2818 | + var fp = re2.exec(w); |
| 2819 | + stem = fp[1]; |
| 2820 | + re2 = new RegExp(s_v); |
| 2821 | + if (re2.test(stem)) { |
| 2822 | + w = stem; |
| 2823 | + re2 = /(at|bl|iz)$/; |
| 2824 | + re3 = new RegExp("([^aeiouylsz])\\1$"); |
| 2825 | + re4 = new RegExp("^" + C + v + "[^aeiouwxy]$"); |
| 2826 | + if (re2.test(w)) |
| 2827 | + w = w + "e"; |
| 2828 | + else if (re3.test(w)) { |
| 2829 | + re = /.$/; |
| 2830 | + w = w.replace(re,""); |
| 2831 | + } |
| 2832 | + else if (re4.test(w)) |
| 2833 | + w = w + "e"; |
| 2834 | + } |
| 2835 | + } |
| 2836 | + |
| 2837 | + // Step 1c |
| 2838 | + re = /^(.+?)y$/; |
| 2839 | + if (re.test(w)) { |
| 2840 | + var fp = re.exec(w); |
| 2841 | + stem = fp[1]; |
| 2842 | + re = new RegExp(s_v); |
| 2843 | + if (re.test(stem)) |
| 2844 | + w = stem + "i"; |
| 2845 | + } |
| 2846 | + |
| 2847 | + // Step 2 |
| 2848 | + re = /^(.+?)(ational|tional|enci|anci|izer|bli|alli|entli|eli|ousli|ization|ation|ator|alism|iveness|fulness|ousness|aliti|iviti|biliti|logi)$/; |
| 2849 | + if (re.test(w)) { |
| 2850 | + var fp = re.exec(w); |
| 2851 | + stem = fp[1]; |
| 2852 | + suffix = fp[2]; |
| 2853 | + re = new RegExp(mgr0); |
| 2854 | + if (re.test(stem)) |
| 2855 | + w = stem + step2list[suffix]; |
| 2856 | + } |
| 2857 | + |
| 2858 | + // Step 3 |
| 2859 | + re = /^(.+?)(icate|ative|alize|iciti|ical|ful|ness)$/; |
| 2860 | + if (re.test(w)) { |
| 2861 | + var fp = re.exec(w); |
| 2862 | + stem = fp[1]; |
| 2863 | + suffix = fp[2]; |
| 2864 | + re = new RegExp(mgr0); |
| 2865 | + if (re.test(stem)) |
| 2866 | + w = stem + step3list[suffix]; |
| 2867 | + } |
| 2868 | + |
| 2869 | + // Step 4 |
| 2870 | + re = /^(.+?)(al|ance|ence|er|ic|able|ible|ant|ement|ment|ent|ou|ism|ate|iti|ous|ive|ize)$/; |
| 2871 | + re2 = /^(.+?)(s|t)(ion)$/; |
| 2872 | + if (re.test(w)) { |
| 2873 | + var fp = re.exec(w); |
| 2874 | + stem = fp[1]; |
| 2875 | + re = new RegExp(mgr1); |
| 2876 | + if (re.test(stem)) |
| 2877 | + w = stem; |
| 2878 | + } |
| 2879 | + else if (re2.test(w)) { |
| 2880 | + var fp = re2.exec(w); |
| 2881 | + stem = fp[1] + fp[2]; |
| 2882 | + re2 = new RegExp(mgr1); |
| 2883 | + if (re2.test(stem)) |
| 2884 | + w = stem; |
| 2885 | + } |
| 2886 | + |
| 2887 | + // Step 5 |
| 2888 | + re = /^(.+?)e$/; |
| 2889 | + if (re.test(w)) { |
| 2890 | + var fp = re.exec(w); |
| 2891 | + stem = fp[1]; |
| 2892 | + re = new RegExp(mgr1); |
| 2893 | + re2 = new RegExp(meq1); |
| 2894 | + re3 = new RegExp("^" + C + v + "[^aeiouwxy]$"); |
| 2895 | + if (re.test(stem) || (re2.test(stem) && !(re3.test(stem)))) |
| 2896 | + w = stem; |
| 2897 | + } |
| 2898 | + re = /ll$/; |
| 2899 | + re2 = new RegExp(mgr1); |
| 2900 | + if (re.test(w) && re2.test(w)) { |
| 2901 | + re = /.$/; |
| 2902 | + w = w.replace(re,""); |
| 2903 | + } |
| 2904 | + |
| 2905 | + // and turn initial Y back to y |
| 2906 | + if (firstch == "y") |
| 2907 | + w = firstch.toLowerCase() + w.substr(1); |
| 2908 | + return w; |
| 2909 | + } |
| 2910 | +} |
| 2911 | + |
| 2912 | + |
| 2913 | +/** |
| 2914 | + * Search Module |
| 2915 | + */ |
| 2916 | +var Search = { |
| 2917 | + |
| 2918 | + _index : null, |
| 2919 | + _queued_query : null, |
| 2920 | + _pulse_status : -1, |
| 2921 | + |
| 2922 | + init : function() { |
| 2923 | + var params = $.getQueryParameters(); |
| 2924 | + if (params.q) { |
| 2925 | + var query = params.q[0]; |
| 2926 | + $('input[name="q"]')[0].value = query; |
| 2927 | + this.performSearch(query); |
| 2928 | + } |
| 2929 | + }, |
| 2930 | + |
| 2931 | + loadIndex : function(url) { |
| 2932 | + $.ajax({type: "GET", url: url, data: null, success: null, |
| 2933 | + dataType: "script", cache: true}); |
| 2934 | + }, |
| 2935 | + |
| 2936 | + setIndex : function(index) { |
| 2937 | + var q; |
| 2938 | + this._index = index; |
| 2939 | + if ((q = this._queued_query) !== null) { |
| 2940 | + this._queued_query = null; |
| 2941 | + Search.query(q); |
| 2942 | + } |
| 2943 | + }, |
| 2944 | + |
| 2945 | + hasIndex : function() { |
| 2946 | + return this._index !== null; |
| 2947 | + }, |
| 2948 | + |
| 2949 | + deferQuery : function(query) { |
| 2950 | + this._queued_query = query; |
| 2951 | + }, |
| 2952 | + |
| 2953 | + stopPulse : function() { |
| 2954 | + this._pulse_status = 0; |
| 2955 | + }, |
| 2956 | + |
| 2957 | + startPulse : function() { |
| 2958 | + if (this._pulse_status >= 0) |
| 2959 | + return; |
| 2960 | + function pulse() { |
| 2961 | + Search._pulse_status = (Search._pulse_status + 1) % 4; |
| 2962 | + var dotString = ''; |
| 2963 | + for (var i = 0; i < Search._pulse_status; i++) |
| 2964 | + dotString += '.'; |
| 2965 | + Search.dots.text(dotString); |
| 2966 | + if (Search._pulse_status > -1) |
| 2967 | + window.setTimeout(pulse, 500); |
| 2968 | + }; |
| 2969 | + pulse(); |
| 2970 | + }, |
| 2971 | + |
| 2972 | + /** |
| 2973 | + * perform a search for something |
| 2974 | + */ |
| 2975 | + performSearch : function(query) { |
| 2976 | + // create the required interface elements |
| 2977 | + this.out = $('#search-results'); |
| 2978 | + this.title = $('<h2>' + _('Searching') + '</h2>').appendTo(this.out); |
| 2979 | + this.dots = $('<span></span>').appendTo(this.title); |
| 2980 | + this.status = $('<p style="display: none"></p>').appendTo(this.out); |
| 2981 | + this.output = $('<ul class="search"/>').appendTo(this.out); |
| 2982 | + |
| 2983 | + $('#search-progress').text(_('Preparing search...')); |
| 2984 | + this.startPulse(); |
| 2985 | + |
| 2986 | + // index already loaded, the browser was quick! |
| 2987 | + if (this.hasIndex()) |
| 2988 | + this.query(query); |
| 2989 | + else |
| 2990 | + this.deferQuery(query); |
| 2991 | + }, |
| 2992 | + |
| 2993 | + query : function(query) { |
| 2994 | + var stopwords = ['and', 'then', 'into', 'it', 'as', 'are', 'in', |
| 2995 | + 'if', 'for', 'no', 'there', 'their', 'was', 'is', |
| 2996 | + 'be', 'to', 'that', 'but', 'they', 'not', 'such', |
| 2997 | + 'with', 'by', 'a', 'on', 'these', 'of', 'will', |
| 2998 | + 'this', 'near', 'the', 'or', 'at']; |
| 2999 | + |
| 3000 | + // stem the searchterms and add them to the correct list |
| 3001 | + var stemmer = new PorterStemmer(); |
| 3002 | + var searchterms = []; |
| 3003 | + var excluded = []; |
| 3004 | + var hlterms = []; |
| 3005 | + var tmp = query.split(/\s+/); |
| 3006 | + var object = (tmp.length == 1) ? tmp[0].toLowerCase() : null; |
| 3007 | + for (var i = 0; i < tmp.length; i++) { |
| 3008 | + if ($u.indexOf(stopwords, tmp[i]) != -1 || tmp[i].match(/^\d+$/) || |
| 3009 | + tmp[i] == "") { |
| 3010 | + // skip this "word" |
| 3011 | + continue; |
| 3012 | + } |
| 3013 | + // stem the word |
| 3014 | + var word = stemmer.stemWord(tmp[i]).toLowerCase(); |
| 3015 | + // select the correct list |
| 3016 | + if (word[0] == '-') { |
| 3017 | + var toAppend = excluded; |
| 3018 | + word = word.substr(1); |
| 3019 | + } |
| 3020 | + else { |
| 3021 | + var toAppend = searchterms; |
| 3022 | + hlterms.push(tmp[i].toLowerCase()); |
| 3023 | + } |
| 3024 | + // only add if not already in the list |
| 3025 | + if (!$.contains(toAppend, word)) |
| 3026 | + toAppend.push(word); |
| 3027 | + }; |
| 3028 | + var highlightstring = '?highlight=' + $.urlencode(hlterms.join(" ")); |
| 3029 | + |
| 3030 | + // console.debug('SEARCH: searching for:'); |
| 3031 | + // console.info('required: ', searchterms); |
| 3032 | + // console.info('excluded: ', excluded); |
| 3033 | + |
| 3034 | + // prepare search |
| 3035 | + var filenames = this._index.filenames; |
| 3036 | + var titles = this._index.titles; |
| 3037 | + var terms = this._index.terms; |
| 3038 | + var objects = this._index.objects; |
| 3039 | + var objtypes = this._index.objtypes; |
| 3040 | + var objnames = this._index.objnames; |
| 3041 | + var fileMap = {}; |
| 3042 | + var files = null; |
| 3043 | + // different result priorities |
| 3044 | + var importantResults = []; |
| 3045 | + var objectResults = []; |
| 3046 | + var regularResults = []; |
| 3047 | + var unimportantResults = []; |
| 3048 | + $('#search-progress').empty(); |
| 3049 | + |
| 3050 | + // lookup as object |
| 3051 | + if (object != null) { |
| 3052 | + for (var prefix in objects) { |
| 3053 | + for (var name in objects[prefix]) { |
| 3054 | + var fullname = (prefix ? prefix + '.' : '') + name; |
| 3055 | + if (fullname.toLowerCase().indexOf(object) > -1) { |
| 3056 | + match = objects[prefix][name]; |
| 3057 | + descr = objnames[match[1]] + _(', in ') + titles[match[0]]; |
| 3058 | + // XXX the generated anchors are not generally correct |
| 3059 | + // XXX there may be custom prefixes |
| 3060 | + result = [filenames[match[0]], fullname, '#'+fullname, descr]; |
| 3061 | + switch (match[2]) { |
| 3062 | + case 1: objectResults.push(result); break; |
| 3063 | + case 0: importantResults.push(result); break; |
| 3064 | + case 2: unimportantResults.push(result); break; |
| 3065 | + } |
| 3066 | + } |
| 3067 | + } |
| 3068 | + } |
| 3069 | + } |
| 3070 | + |
| 3071 | + // sort results descending |
| 3072 | + objectResults.sort(function(a, b) { |
| 3073 | + return (a[1] > b[1]) ? -1 : ((a[1] < b[1]) ? 1 : 0); |
| 3074 | + }); |
| 3075 | + |
| 3076 | + importantResults.sort(function(a, b) { |
| 3077 | + return (a[1] > b[1]) ? -1 : ((a[1] < b[1]) ? 1 : 0); |
| 3078 | + }); |
| 3079 | + |
| 3080 | + unimportantResults.sort(function(a, b) { |
| 3081 | + return (a[1] > b[1]) ? -1 : ((a[1] < b[1]) ? 1 : 0); |
| 3082 | + }); |
| 3083 | + |
| 3084 | + |
| 3085 | + // perform the search on the required terms |
| 3086 | + for (var i = 0; i < searchterms.length; i++) { |
| 3087 | + var word = searchterms[i]; |
| 3088 | + // no match but word was a required one |
| 3089 | + if ((files = terms[word]) == null) |
| 3090 | + break; |
| 3091 | + if (files.length == undefined) { |
| 3092 | + files = [files]; |
| 3093 | + } |
| 3094 | + // create the mapping |
| 3095 | + for (var j = 0; j < files.length; j++) { |
| 3096 | + var file = files[j]; |
| 3097 | + if (file in fileMap) |
| 3098 | + fileMap[file].push(word); |
| 3099 | + else |
| 3100 | + fileMap[file] = [word]; |
| 3101 | + } |
| 3102 | + } |
| 3103 | + |
| 3104 | + // now check if the files don't contain excluded terms |
| 3105 | + for (var file in fileMap) { |
| 3106 | + var valid = true; |
| 3107 | + |
| 3108 | + // check if all requirements are matched |
| 3109 | + if (fileMap[file].length != searchterms.length) |
| 3110 | + continue; |
| 3111 | + |
| 3112 | + // ensure that none of the excluded terms is in the |
| 3113 | + // search result. |
| 3114 | + for (var i = 0; i < excluded.length; i++) { |
| 3115 | + if (terms[excluded[i]] == file || |
| 3116 | + $.contains(terms[excluded[i]] || [], file)) { |
| 3117 | + valid = false; |
| 3118 | + break; |
| 3119 | + } |
| 3120 | + } |
| 3121 | + |
| 3122 | + // if we have still a valid result we can add it |
| 3123 | + // to the result list |
| 3124 | + if (valid) |
| 3125 | + regularResults.push([filenames[file], titles[file], '', null]); |
| 3126 | + } |
| 3127 | + |
| 3128 | + // delete unused variables in order to not waste |
| 3129 | + // memory until list is retrieved completely |
| 3130 | + delete filenames, titles, terms; |
| 3131 | + |
| 3132 | + // now sort the regular results descending by title |
| 3133 | + regularResults.sort(function(a, b) { |
| 3134 | + var left = a[1].toLowerCase(); |
| 3135 | + var right = b[1].toLowerCase(); |
| 3136 | + return (left > right) ? -1 : ((left < right) ? 1 : 0); |
| 3137 | + }); |
| 3138 | + |
| 3139 | + // combine all results |
| 3140 | + var results = unimportantResults.concat(regularResults) |
| 3141 | + .concat(objectResults).concat(importantResults); |
| 3142 | + |
| 3143 | + // print the results |
| 3144 | + var resultCount = results.length; |
| 3145 | + function displayNextItem() { |
| 3146 | + // results left, load the summary and display it |
| 3147 | + if (results.length) { |
| 3148 | + var item = results.pop(); |
| 3149 | + var listItem = $('<li style="display:none"></li>'); |
| 3150 | + if (DOCUMENTATION_OPTIONS.FILE_SUFFIX == '') { |
| 3151 | + // dirhtml builder |
| 3152 | + var dirname = item[0] + '/'; |
| 3153 | + if (dirname.match(/\/index\/$/)) { |
| 3154 | + dirname = dirname.substring(0, dirname.length-6); |
| 3155 | + } else if (dirname == 'index/') { |
| 3156 | + dirname = ''; |
| 3157 | + } |
| 3158 | + listItem.append($('<a/>').attr('href', |
| 3159 | + DOCUMENTATION_OPTIONS.URL_ROOT + dirname + |
| 3160 | + highlightstring + item[2]).html(item[1])); |
| 3161 | + } else { |
| 3162 | + // normal html builders |
| 3163 | + listItem.append($('<a/>').attr('href', |
| 3164 | + item[0] + DOCUMENTATION_OPTIONS.FILE_SUFFIX + |
| 3165 | + highlightstring + item[2]).html(item[1])); |
| 3166 | + } |
| 3167 | + if (item[3]) { |
| 3168 | + listItem.append($('<span> (' + item[3] + ')</span>')); |
| 3169 | + Search.output.append(listItem); |
| 3170 | + listItem.slideDown(5, function() { |
| 3171 | + displayNextItem(); |
| 3172 | + }); |
| 3173 | + } else if (DOCUMENTATION_OPTIONS.HAS_SOURCE) { |
| 3174 | + $.get(DOCUMENTATION_OPTIONS.URL_ROOT + '_sources/' + |
| 3175 | + item[0] + '.txt', function(data) { |
| 3176 | + if (data != '') { |
| 3177 | + listItem.append($.makeSearchSummary(data, searchterms, hlterms)); |
| 3178 | + Search.output.append(listItem); |
| 3179 | + } |
| 3180 | + listItem.slideDown(5, function() { |
| 3181 | + displayNextItem(); |
| 3182 | + }); |
| 3183 | + }); |
| 3184 | + } else { |
| 3185 | + // no source available, just display title |
| 3186 | + Search.output.append(listItem); |
| 3187 | + listItem.slideDown(5, function() { |
| 3188 | + displayNextItem(); |
| 3189 | + }); |
| 3190 | + } |
| 3191 | + } |
| 3192 | + // search finished, update title and status message |
| 3193 | + else { |
| 3194 | + Search.stopPulse(); |
| 3195 | + Search.title.text(_('Search Results')); |
| 3196 | + if (!resultCount) |
| 3197 | + Search.status.text(_('Your search did not match any documents. Please make sure that all words are spelled correctly and that you\'ve selected enough categories.')); |
| 3198 | + else |
| 3199 | + Search.status.text(_('Search finished, found %s page(s) matching the search query.').replace('%s', resultCount)); |
| 3200 | + Search.status.fadeIn(500); |
| 3201 | + } |
| 3202 | + } |
| 3203 | + displayNextItem(); |
| 3204 | + } |
| 3205 | +} |
| 3206 | + |
| 3207 | +$(document).ready(function() { |
| 3208 | + Search.init(); |
| 3209 | +}); |
| 3210 | |
| 3211 | === added file 'doc/build/html/_static/sidebar.js' |
| 3212 | --- doc/build/html/_static/sidebar.js 1970-01-01 00:00:00 +0000 |
| 3213 | +++ doc/build/html/_static/sidebar.js 2010-12-10 13:03:35 +0000 |
| 3214 | @@ -0,0 +1,148 @@ |
| 3215 | +/* |
| 3216 | + * sidebar.js |
| 3217 | + * ~~~~~~~~~~ |
| 3218 | + * |
| 3219 | + * This script makes the Sphinx sidebar collapsible. |
| 3220 | + * |
| 3221 | + * .sphinxsidebar contains .sphinxsidebarwrapper. This script adds |
| 3222 | + * in .sphixsidebar, after .sphinxsidebarwrapper, the #sidebarbutton |
| 3223 | + * used to collapse and expand the sidebar. |
| 3224 | + * |
| 3225 | + * When the sidebar is collapsed the .sphinxsidebarwrapper is hidden |
| 3226 | + * and the width of the sidebar and the margin-left of the document |
| 3227 | + * are decreased. When the sidebar is expanded the opposite happens. |
| 3228 | + * This script saves a per-browser/per-session cookie used to |
| 3229 | + * remember the position of the sidebar among the pages. |
| 3230 | + * Once the browser is closed the cookie is deleted and the position |
| 3231 | + * reset to the default (expanded). |
| 3232 | + * |
| 3233 | + * :copyright: Copyright 2007-2010 by the Sphinx team, see AUTHORS. |
| 3234 | + * :license: BSD, see LICENSE for details. |
| 3235 | + * |
| 3236 | + */ |
| 3237 | + |
| 3238 | +$(function() { |
| 3239 | + // global elements used by the functions. |
| 3240 | + // the 'sidebarbutton' element is defined as global after its |
| 3241 | + // creation, in the add_sidebar_button function |
| 3242 | + var bodywrapper = $('.bodywrapper'); |
| 3243 | + var sidebar = $('.sphinxsidebar'); |
| 3244 | + var sidebarwrapper = $('.sphinxsidebarwrapper'); |
| 3245 | + |
| 3246 | + // original margin-left of the bodywrapper and width of the sidebar |
| 3247 | + // with the sidebar expanded |
| 3248 | + var bw_margin_expanded = bodywrapper.css('margin-left'); |
| 3249 | + var ssb_width_expanded = sidebar.width(); |
| 3250 | + |
| 3251 | + // margin-left of the bodywrapper and width of the sidebar |
| 3252 | + // with the sidebar collapsed |
| 3253 | + var bw_margin_collapsed = '.8em'; |
| 3254 | + var ssb_width_collapsed = '.8em'; |
| 3255 | + |
| 3256 | + // colors used by the current theme |
| 3257 | + var dark_color = $('.related').css('background-color'); |
| 3258 | + var light_color = $('.document').css('background-color'); |
| 3259 | + |
| 3260 | + function sidebar_is_collapsed() { |
| 3261 | + return sidebarwrapper.is(':not(:visible)'); |
| 3262 | + } |
| 3263 | + |
| 3264 | + function toggle_sidebar() { |
| 3265 | + if (sidebar_is_collapsed()) |
| 3266 | + expand_sidebar(); |
| 3267 | + else |
| 3268 | + collapse_sidebar(); |
| 3269 | + } |
| 3270 | + |
| 3271 | + function collapse_sidebar() { |
| 3272 | + sidebarwrapper.hide(); |
| 3273 | + sidebar.css('width', ssb_width_collapsed); |
| 3274 | + bodywrapper.css('margin-left', bw_margin_collapsed); |
| 3275 | + sidebarbutton.css({ |
| 3276 | + 'margin-left': '0', |
| 3277 | + 'height': bodywrapper.height() |
| 3278 | + }); |
| 3279 | + sidebarbutton.find('span').text('»'); |
| 3280 | + sidebarbutton.attr('title', _('Expand sidebar')); |
| 3281 | + document.cookie = 'sidebar=collapsed'; |
| 3282 | + } |
| 3283 | + |
| 3284 | + function expand_sidebar() { |
| 3285 | + bodywrapper.css('margin-left', bw_margin_expanded); |
| 3286 | + sidebar.css('width', ssb_width_expanded); |
| 3287 | + sidebarwrapper.show(); |
| 3288 | + sidebarbutton.css({ |
| 3289 | + 'margin-left': ssb_width_expanded-12, |
| 3290 | + 'height': bodywrapper.height() |
| 3291 | + }); |
| 3292 | + sidebarbutton.find('span').text('«'); |
| 3293 | + sidebarbutton.attr('title', _('Collapse sidebar')); |
| 3294 | + document.cookie = 'sidebar=expanded'; |
| 3295 | + } |
| 3296 | + |
| 3297 | + function add_sidebar_button() { |
| 3298 | + sidebarwrapper.css({ |
| 3299 | + 'float': 'left', |
| 3300 | + 'margin-right': '0', |
| 3301 | + 'width': ssb_width_expanded - 28 |
| 3302 | + }); |
| 3303 | + // create the button |
| 3304 | + sidebar.append( |
| 3305 | + '<div id="sidebarbutton"><span>«</span></div>' |
| 3306 | + ); |
| 3307 | + var sidebarbutton = $('#sidebarbutton'); |
| 3308 | + light_color = sidebarbutton.css('background-color'); |
| 3309 | + // find the height of the viewport to center the '<<' in the page |
| 3310 | + var viewport_height; |
| 3311 | + if (window.innerHeight) |
| 3312 | + viewport_height = window.innerHeight; |
| 3313 | + else |
| 3314 | + viewport_height = $(window).height(); |
| 3315 | + sidebarbutton.find('span').css({ |
| 3316 | + 'display': 'block', |
| 3317 | + 'margin-top': (viewport_height - sidebar.position().top - 20) / 2 |
| 3318 | + }); |
| 3319 | + |
| 3320 | + sidebarbutton.click(toggle_sidebar); |
| 3321 | + sidebarbutton.attr('title', _('Collapse sidebar')); |
| 3322 | + sidebarbutton.css({ |
| 3323 | + 'color': '#FFFFFF', |
| 3324 | + 'border-left': '1px solid ' + dark_color, |
| 3325 | + 'font-size': '1.2em', |
| 3326 | + 'cursor': 'pointer', |
| 3327 | + 'height': bodywrapper.height(), |
| 3328 | + 'padding-top': '1px', |
| 3329 | + 'margin-left': ssb_width_expanded - 12 |
| 3330 | + }); |
| 3331 | + |
| 3332 | + sidebarbutton.hover( |
| 3333 | + function () { |
| 3334 | + $(this).css('background-color', dark_color); |
| 3335 | + }, |
| 3336 | + function () { |
| 3337 | + $(this).css('background-color', light_color); |
| 3338 | + } |
| 3339 | + ); |
| 3340 | + } |
| 3341 | + |
| 3342 | + function set_position_from_cookie() { |
| 3343 | + if (!document.cookie) |
| 3344 | + return; |
| 3345 | + var items = document.cookie.split(';'); |
| 3346 | + for(var k=0; k<items.length; k++) { |
| 3347 | + var key_val = items[k].split('='); |
| 3348 | + var key = key_val[0]; |
| 3349 | + if (key == 'sidebar') { |
| 3350 | + var value = key_val[1]; |
| 3351 | + if ((value == 'collapsed') && (!sidebar_is_collapsed())) |
| 3352 | + collapse_sidebar(); |
| 3353 | + else if ((value == 'expanded') && (sidebar_is_collapsed())) |
| 3354 | + expand_sidebar(); |
| 3355 | + } |
| 3356 | + } |
| 3357 | + } |
| 3358 | + |
| 3359 | + add_sidebar_button(); |
| 3360 | + var sidebarbutton = $('#sidebarbutton'); |
| 3361 | + set_position_from_cookie(); |
| 3362 | +}); |
| 3363 | |
| 3364 | === added file 'doc/build/html/_static/underscore.js' |
| 3365 | --- doc/build/html/_static/underscore.js 1970-01-01 00:00:00 +0000 |
| 3366 | +++ doc/build/html/_static/underscore.js 2010-12-10 13:03:35 +0000 |
| 3367 | @@ -0,0 +1,16 @@ |
| 3368 | +(function(){var j=this,n=j._,i=function(a){this._wrapped=a},m=typeof StopIteration!=="undefined"?StopIteration:"__break__",b=j._=function(a){return new i(a)};if(typeof exports!=="undefined")exports._=b;var k=Array.prototype.slice,o=Array.prototype.unshift,p=Object.prototype.toString,q=Object.prototype.hasOwnProperty,r=Object.prototype.propertyIsEnumerable;b.VERSION="0.5.5";b.each=function(a,c,d){try{if(a.forEach)a.forEach(c,d);else if(b.isArray(a)||b.isArguments(a))for(var e=0,f=a.length;e<f;e++)c.call(d, |
| 3369 | +a[e],e,a);else{var g=b.keys(a);f=g.length;for(e=0;e<f;e++)c.call(d,a[g[e]],g[e],a)}}catch(h){if(h!=m)throw h;}return a};b.map=function(a,c,d){if(a&&b.isFunction(a.map))return a.map(c,d);var e=[];b.each(a,function(f,g,h){e.push(c.call(d,f,g,h))});return e};b.reduce=function(a,c,d,e){if(a&&b.isFunction(a.reduce))return a.reduce(b.bind(d,e),c);b.each(a,function(f,g,h){c=d.call(e,c,f,g,h)});return c};b.reduceRight=function(a,c,d,e){if(a&&b.isFunction(a.reduceRight))return a.reduceRight(b.bind(d,e),c); |
| 3370 | +var f=b.clone(b.toArray(a)).reverse();b.each(f,function(g,h){c=d.call(e,c,g,h,a)});return c};b.detect=function(a,c,d){var e;b.each(a,function(f,g,h){if(c.call(d,f,g,h)){e=f;b.breakLoop()}});return e};b.select=function(a,c,d){if(a&&b.isFunction(a.filter))return a.filter(c,d);var e=[];b.each(a,function(f,g,h){c.call(d,f,g,h)&&e.push(f)});return e};b.reject=function(a,c,d){var e=[];b.each(a,function(f,g,h){!c.call(d,f,g,h)&&e.push(f)});return e};b.all=function(a,c,d){c=c||b.identity;if(a&&b.isFunction(a.every))return a.every(c, |
| 3371 | +d);var e=true;b.each(a,function(f,g,h){(e=e&&c.call(d,f,g,h))||b.breakLoop()});return e};b.any=function(a,c,d){c=c||b.identity;if(a&&b.isFunction(a.some))return a.some(c,d);var e=false;b.each(a,function(f,g,h){if(e=c.call(d,f,g,h))b.breakLoop()});return e};b.include=function(a,c){if(b.isArray(a))return b.indexOf(a,c)!=-1;var d=false;b.each(a,function(e){if(d=e===c)b.breakLoop()});return d};b.invoke=function(a,c){var d=b.rest(arguments,2);return b.map(a,function(e){return(c?e[c]:e).apply(e,d)})};b.pluck= |
| 3372 | +function(a,c){return b.map(a,function(d){return d[c]})};b.max=function(a,c,d){if(!c&&b.isArray(a))return Math.max.apply(Math,a);var e={computed:-Infinity};b.each(a,function(f,g,h){g=c?c.call(d,f,g,h):f;g>=e.computed&&(e={value:f,computed:g})});return e.value};b.min=function(a,c,d){if(!c&&b.isArray(a))return Math.min.apply(Math,a);var e={computed:Infinity};b.each(a,function(f,g,h){g=c?c.call(d,f,g,h):f;g<e.computed&&(e={value:f,computed:g})});return e.value};b.sortBy=function(a,c,d){return b.pluck(b.map(a, |
| 3373 | +function(e,f,g){return{value:e,criteria:c.call(d,e,f,g)}}).sort(function(e,f){e=e.criteria;f=f.criteria;return e<f?-1:e>f?1:0}),"value")};b.sortedIndex=function(a,c,d){d=d||b.identity;for(var e=0,f=a.length;e<f;){var g=e+f>>1;d(a[g])<d(c)?(e=g+1):(f=g)}return e};b.toArray=function(a){if(!a)return[];if(a.toArray)return a.toArray();if(b.isArray(a))return a;if(b.isArguments(a))return k.call(a);return b.values(a)};b.size=function(a){return b.toArray(a).length};b.first=function(a,c,d){return c&&!d?k.call(a, |
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| 3384 | |
| 3385 | === added file 'doc/build/html/blas.html' |
| 3386 | --- doc/build/html/blas.html 1970-01-01 00:00:00 +0000 |
| 3387 | +++ doc/build/html/blas.html 2010-12-10 13:03:35 +0000 |
| 3388 | @@ -0,0 +1,913 @@ |
| 3389 | + |
| 3390 | + |
| 3391 | +<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" |
| 3392 | + "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd"> |
| 3393 | + |
| 3394 | +<html xmlns="http://www.w3.org/1999/xhtml"> |
| 3395 | + <head> |
| 3396 | + <meta http-equiv="Content-Type" content="text/html; charset=utf-8" /> |
| 3397 | + |
| 3398 | + <title>The BLAS Interface — CVXOPT User's Guide</title> |
| 3399 | + <link rel="stylesheet" href="_static/cvxopt.css" type="text/css" /> |
| 3400 | + <link rel="stylesheet" href="_static/pygments.css" type="text/css" /> |
| 3401 | + <script type="text/javascript"> |
| 3402 | + var DOCUMENTATION_OPTIONS = { |
| 3403 | + URL_ROOT: '', |
| 3404 | + VERSION: '1.1.1', |
| 3405 | + COLLAPSE_INDEX: false, |
| 3406 | + FILE_SUFFIX: '.html', |
| 3407 | + HAS_SOURCE: false |
| 3408 | + }; |
| 3409 | + </script> |
| 3410 | + <script type="text/javascript" src="_static/jquery.js"></script> |
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| 3418 | + <body> |
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| 3420 | + <h3>Navigation</h3> |
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| 3439 | + |
| 3440 | + <div class="section" id="the-blas-interface"> |
| 3441 | +<span id="c-blas"></span><h1>The BLAS Interface<a class="headerlink" href="#the-blas-interface" title="Permalink to this headline">¶</a></h1> |
| 3442 | +<p>The <tt class="xref py py-mod docutils literal"><span class="pre">cvxopt.blas</span></tt> module provides an interface to the double-precision |
| 3443 | +real and complex Basic Linear Algebra Subprograms (BLAS). The names and |
| 3444 | +calling sequences of the Python functions in the interface closely match |
| 3445 | +the corresponding Fortran BLAS routines (described in the references below) |
| 3446 | +and their functionality is exactly the same. Many of the operations |
| 3447 | +performed by the BLAS routines can be implemented in a more straightforward |
| 3448 | +way by using the matrix arithmetic of the section <a class="reference internal" href="matrices.html#s-arithmetic"><em>Arithmetic Operations</em></a>, |
| 3449 | +combined with the slicing and indexing of the section <a class="reference internal" href="matrices.html#s-indexing"><em>Indexing and Slicing</em></a>. |
| 3450 | +As an example, <tt class="docutils literal"><span class="pre">C</span> <span class="pre">=</span> <span class="pre">A</span> <span class="pre">*</span> <span class="pre">B</span></tt> gives the same result as the BLAS call |
| 3451 | +<tt class="docutils literal"><span class="pre">gemm(A,</span> <span class="pre">B,</span> <span class="pre">C)</span></tt>. The BLAS interface offers two advantages. First, |
| 3452 | +some of the functions it includes are not easily implemented using the |
| 3453 | +basic matrix arithmetic. For example, BLAS includes functions that |
| 3454 | +efficiently exploit symmetry or triangular matrix structure. Second, there |
| 3455 | +is a performance difference that can be significant for large matrices. |
| 3456 | +Although our implementation of the basic matrix arithmetic makes internal |
| 3457 | +calls to BLAS, it also often requires creating temporary matrices to store |
| 3458 | +intermediate results. The BLAS functions on the other hand always operate |
| 3459 | +directly on their matrix arguments and never require any copying to |
| 3460 | +temporary matrices. Thus they can be viewed as generalizations of the |
| 3461 | +in-place matrix addition and scalar multiplication of the section |
| 3462 | +<a class="reference internal" href="matrices.html#s-arithmetic"><em>Arithmetic Operations</em></a> to more complicated operations.</p> |
| 3463 | +<div class="admonition-see-also admonition seealso"> |
| 3464 | +<p class="first admonition-title">See also</p> |
| 3465 | +<ul class="last simple"> |
| 3466 | +<li>C. L. Lawson, R. J. Hanson, D. R. Kincaid, F. T. Krogh, |
| 3467 | +Basic Linear Algebra Subprograms for Fortran Use, |
| 3468 | +ACM Transactions on Mathematical Software, 5(3), 309-323, 1975.</li> |
| 3469 | +<li>J. J. Dongarra, J. Du Croz, S. Hammarling, R. J. Hanson, |
| 3470 | +An Extended Set of Fortran Basic Linear Algebra Subprograms, |
| 3471 | +ACM Transactions on Mathematical Software, 14(1), 1-17, 1988.</li> |
| 3472 | +<li>J. J. Dongarra, J. Du Croz, S. Hammarling, I. Duff, |
| 3473 | +A Set of Level 3 Basic Linear Algebra Subprograms, |
| 3474 | +ACM Transactions on Mathematical Software, 16(1), 1-17, 1990.</li> |
| 3475 | +</ul> |
| 3476 | +</div> |
| 3477 | +<div class="section" id="matrix-classes"> |
| 3478 | +<span id="s-conventions"></span><h2>Matrix Classes<a class="headerlink" href="#matrix-classes" title="Permalink to this headline">¶</a></h2> |
| 3479 | +<p>The BLAS exploit several types of matrix structure: symmetric, Hermitian, |
| 3480 | +triangular, and banded. We represent all these matrix classes by dense |
| 3481 | +real or complex <a class="reference internal" href="matrices.html#cvxopt.matrix" title="cvxopt.matrix"><tt class="xref py py-class docutils literal"><span class="pre">matrix</span></tt></a> objects, with additional |
| 3482 | +arguments that specify the structure.</p> |
| 3483 | +<dl class="docutils"> |
| 3484 | +<dt><strong>Vector</strong></dt> |
| 3485 | +<dd>A real or complex <img class="math" src="_images/math/174fadd07fd54c9afe288e96558c92e0c1da733a.png" alt="n"/>-vector is represented by a <tt class="xref py py-class docutils literal"><span class="pre">matrix</span></tt> |
| 3486 | +of type <tt class="xref py py-const docutils literal"><span class="pre">'d'</span></tt> or <tt class="xref py py-const docutils literal"><span class="pre">'z'</span></tt> and length <img class="math" src="_images/math/174fadd07fd54c9afe288e96558c92e0c1da733a.png" alt="n"/>, with the |
| 3487 | +entries of the vector stored in column-major order.</dd> |
| 3488 | +<dt><strong>General matrix</strong></dt> |
| 3489 | +<dd>A general real or complex <img class="math" src="_images/math/f5047d1e0cbb50ec208923a22cd517c55100fa7b.png" alt="m"/> by <img class="math" src="_images/math/174fadd07fd54c9afe288e96558c92e0c1da733a.png" alt="n"/> matrix is represented |
| 3490 | +by a real or complex <tt class="xref py py-class docutils literal"><span class="pre">matrix</span></tt> of size (<img class="math" src="_images/math/f5047d1e0cbb50ec208923a22cd517c55100fa7b.png" alt="m"/>, <img class="math" src="_images/math/174fadd07fd54c9afe288e96558c92e0c1da733a.png" alt="n"/>).</dd> |
| 3491 | +<dt><strong>Symmetric matrix</strong></dt> |
| 3492 | +<dd><p class="first">A real or complex symmetric matrix of order <img class="math" src="_images/math/174fadd07fd54c9afe288e96558c92e0c1da733a.png" alt="n"/> is represented |
| 3493 | +by a real or complex <tt class="xref py py-class docutils literal"><span class="pre">matrix</span></tt> of size (<img class="math" src="_images/math/174fadd07fd54c9afe288e96558c92e0c1da733a.png" alt="n"/>, <img class="math" src="_images/math/174fadd07fd54c9afe288e96558c92e0c1da733a.png" alt="n"/>), |
| 3494 | +and a character argument <tt class="docutils literal"><span class="pre">uplo</span></tt> with two possible values: |
| 3495 | +<tt class="xref py py-const docutils literal"><span class="pre">'L'</span></tt> and <tt class="xref py py-const docutils literal"><span class="pre">'U'</span></tt>. If <tt class="docutils literal"><span class="pre">uplo</span></tt> is <tt class="xref py py-const docutils literal"><span class="pre">'L'</span></tt>, the lower |
| 3496 | +triangular part of the symmetric matrix is stored; if <tt class="docutils literal"><span class="pre">uplo</span></tt> is |
| 3497 | +<tt class="xref py py-const docutils literal"><span class="pre">'U'</span></tt>, the upper triangular part is stored. A square |
| 3498 | +<tt class="xref py py-class docutils literal"><span class="pre">matrix</span></tt> <tt class="docutils literal"><span class="pre">X</span></tt> of size (<img class="math" src="_images/math/174fadd07fd54c9afe288e96558c92e0c1da733a.png" alt="n"/>, <img class="math" src="_images/math/174fadd07fd54c9afe288e96558c92e0c1da733a.png" alt="n"/>) can therefore be |
| 3499 | +used to represent the symmetric matrices</p> |
| 3500 | +<div class="last math"> |
| 3501 | +<p><img src="_images/math/52e0ff1161373cc9cd64457d457939a0cdf63750.png" alt="\left[\begin{array}{ccccc} |
| 3502 | + X[0,0] & X[1,0] & X[2,0] & \cdots & X[n-1,0] \\ |
| 3503 | + X[1,0] & X[1,1] & X[2,1] & \cdots & X[n-1,1] \\ |
| 3504 | + X[2,0] & X[2,1] & X[2,2] & \cdots & X[n-1,2] \\ |
| 3505 | + \vdots & \vdots & \vdots & \ddots & \vdots \\ |
| 3506 | + X[n-1,0] & X[n-1,1] & X[n-1,2] & \cdots & X[n-1,n-1] |
| 3507 | +\end{array}\right] \quad \mbox{(uplo = 'L')}, |
| 3508 | + |
| 3509 | +\left[\begin{array}{ccccc} |
| 3510 | + X[0,0] & X[0,1] & X[0,2] & \cdots & X[0,n-1] \\ |
| 3511 | + X[0,1] & X[1,1] & X[1,2] & \cdots & X[1,n-1] \\ |
| 3512 | + X[0,2] & X[1,2] & X[2,2] & \cdots & X[2,n-1] \\ |
| 3513 | + \vdots & \vdots & \vdots & \ddots & \vdots \\ |
| 3514 | + X[0,n-1] & X[1,n-1] & X[2,n-1] & \cdots & X[n-1,n-1] |
| 3515 | +\end{array}\right] \quad \mbox{(uplo = U')}." /></p> |
| 3516 | +</div></dd> |
| 3517 | +<dt><strong>Complex Hermitian matrix</strong></dt> |
| 3518 | +<dd><p class="first">A complex Hermitian matrix of order <img class="math" src="_images/math/174fadd07fd54c9afe288e96558c92e0c1da733a.png" alt="n"/> is represented by a |
| 3519 | +<tt class="xref py py-class docutils literal"><span class="pre">matrix</span></tt> of type <tt class="xref py py-const docutils literal"><span class="pre">'z'</span></tt> and size (<img class="math" src="_images/math/174fadd07fd54c9afe288e96558c92e0c1da733a.png" alt="n"/>, <img class="math" src="_images/math/174fadd07fd54c9afe288e96558c92e0c1da733a.png" alt="n"/>), |
| 3520 | +and a character argument <tt class="docutils literal"><span class="pre">uplo</span></tt> with the same meaning as for |
| 3521 | +symmetric matrices. A complex <tt class="xref py py-class docutils literal"><span class="pre">matrix</span></tt> <tt class="docutils literal"><span class="pre">X</span></tt> of size |
| 3522 | +(<img class="math" src="_images/math/174fadd07fd54c9afe288e96558c92e0c1da733a.png" alt="n"/>, <img class="math" src="_images/math/174fadd07fd54c9afe288e96558c92e0c1da733a.png" alt="n"/>) can represent the Hermitian matrices</p> |
| 3523 | +<div class="last math"> |
| 3524 | +<p><img src="_images/math/d61de824765ec1e71fab547965361cde159d3af8.png" alt="\left[\begin{array}{ccccc} |
| 3525 | + \Re X[0,0] & \bar X[1,0] & \bar X[2,0] & \cdots & |
| 3526 | + \bar X[n-1,0] \\ |
| 3527 | + X[1,0] & \Re X[1,1] & \bar X[2,1] & \cdots & |
| 3528 | + \bar X[n-1,1] \\ |
| 3529 | + X[2,0] & X[2,1] & \Re X[2,2] & \cdots & \bar X[n-1,2] \\ |
| 3530 | + \vdots & \vdots & \vdots & \ddots & \vdots \\ |
| 3531 | + X[n-1,0] & X[n-1,1] & X[n-1,2] & \cdots & \Re X[n-1,n-1] |
| 3532 | +\end{array}\right] \quad \mbox{(uplo = 'L')}, |
| 3533 | + |
| 3534 | +\left[\begin{array}{ccccc} |
| 3535 | + \Re X[0,0] & X[0,1] & X[0,2] & \cdots & X[0,n-1] \\ |
| 3536 | + \bar X[0,1] & \Re X[1,1] & X[1,2] & \cdots & X[1,n-1] \\ |
| 3537 | + \bar X[0,2] & \bar X[1,2] & \Re X[2,2] & \cdots & |
| 3538 | + X[2,n-1] \\ |
| 3539 | + \vdots & \vdots & \vdots & \ddots & \vdots \\ |
| 3540 | + \bar X[0,n-1] & \bar X[1,n-1] & \bar X[2,n-1] & \cdots & |
| 3541 | + \Re X[n-1,n-1] |
| 3542 | +\end{array}\right] \quad \mbox{(uplo = 'U')}." /></p> |
| 3543 | +</div></dd> |
| 3544 | +<dt><strong>Triangular matrix</strong></dt> |
| 3545 | +<dd><p class="first">A real or complex triangular matrix of order <img class="math" src="_images/math/174fadd07fd54c9afe288e96558c92e0c1da733a.png" alt="n"/> is represented |
| 3546 | +by a real or complex <tt class="xref py py-class docutils literal"><span class="pre">matrix</span></tt> of size (<img class="math" src="_images/math/174fadd07fd54c9afe288e96558c92e0c1da733a.png" alt="n"/>, <img class="math" src="_images/math/174fadd07fd54c9afe288e96558c92e0c1da733a.png" alt="n"/>), |
| 3547 | +and two character arguments: an argument <tt class="docutils literal"><span class="pre">uplo</span></tt> with possible values |
| 3548 | +<tt class="xref py py-const docutils literal"><span class="pre">'L'</span></tt> and <tt class="xref py py-const docutils literal"><span class="pre">'U'</span></tt> to distinguish between lower and upper |
| 3549 | +triangular matrices, and an argument <tt class="docutils literal"><span class="pre">diag</span></tt> with possible values |
| 3550 | +<tt class="xref py py-const docutils literal"><span class="pre">'U'</span></tt> and <tt class="xref py py-const docutils literal"><span class="pre">'N'</span></tt> to distinguish between unit and non-unit |
| 3551 | +triangular matrices. A square <tt class="xref py py-class docutils literal"><span class="pre">matrix</span></tt> <tt class="docutils literal"><span class="pre">X</span></tt> of size |
| 3552 | +(<img class="math" src="_images/math/174fadd07fd54c9afe288e96558c92e0c1da733a.png" alt="n"/>, <img class="math" src="_images/math/174fadd07fd54c9afe288e96558c92e0c1da733a.png" alt="n"/>) can represent the triangular matrices</p> |
| 3553 | +<div class="last math"> |
| 3554 | +<p><img src="_images/math/867c5e4b34778fd3c6fa395079ad365668a137d7.png" alt="\left[\begin{array}{ccccc} |
| 3555 | + X[0,0] & 0 & 0 & \cdots & 0 \\ |
| 3556 | + X[1,0] & X[1,1] & 0 & \cdots & 0 \\ |
| 3557 | + X[2,0] & X[2,1] & X[2,2] & \cdots & 0 \\ |
| 3558 | + \vdots & \vdots & \vdots & \ddots & \vdots \\ |
| 3559 | + X[n-1,0] & X[n-1,1] & X[n-1,2] & \cdots & X[n-1,n-1] |
| 3560 | +\end{array}\right] \quad \mbox{(uplo = 'L', diag = 'N')}, |
| 3561 | + |
| 3562 | +\left[\begin{array}{ccccc} |
| 3563 | + 1 & 0 & 0 & \cdots & 0 \\ |
| 3564 | + X[1,0] & 1 & 0 & \cdots & 0 \\ |
| 3565 | + X[2,0] & X[2,1] & 1 & \cdots & 0 \\ |
| 3566 | + \vdots & \vdots & \vdots & \ddots & \vdots \\ |
| 3567 | + X[n-1,0] & X[n-1,1] & X[n-1,2] & \cdots & 1 |
| 3568 | +\end{array}\right] \quad \mbox{(uplo = 'L', diag = 'U')}, |
| 3569 | + |
| 3570 | +\left[\begin{array}{ccccc} |
| 3571 | + X[0,0] & X[0,1] & X[0,2] & \cdots & X[0,n-1] \\ |
| 3572 | + 0 & X[1,1] & X[1,2] & \cdots & X[1,n-1] \\ |
| 3573 | + 0 & 0 & X[2,2] & \cdots & X[2,n-1] \\ |
| 3574 | + \vdots & \vdots & \vdots & \ddots & \vdots \\ |
| 3575 | + 0 & 0 & 0 & \cdots & X[n-1,n-1] |
| 3576 | +\end{array}\right] \quad \mbox{(uplo = 'U', diag = 'N')}, |
| 3577 | + |
| 3578 | +\left[\begin{array}{ccccc} |
| 3579 | + 1 & X[0,1] & X[0,2] & \cdots & X[0,n-1] \\ |
| 3580 | + 0 & 1 & X[1,2] & \cdots & X[1,n-1] \\ |
| 3581 | + 0 & 0 & 1 & \cdots & X[2,n-1] \\ |
| 3582 | + \vdots & \vdots & \vdots & \ddots & \vdots \\ |
| 3583 | + 0 & 0 & 0 & \cdots & 1 |
| 3584 | +\end{array}\right] \quad \mbox{(uplo = 'U', diag = 'U')}." /></p> |
| 3585 | +</div></dd> |
| 3586 | +<dt><strong>General band matrix</strong></dt> |
| 3587 | +<dd><p class="first">A general real or complex <img class="math" src="_images/math/f5047d1e0cbb50ec208923a22cd517c55100fa7b.png" alt="m"/> by <img class="math" src="_images/math/174fadd07fd54c9afe288e96558c92e0c1da733a.png" alt="n"/> band matrix with |
| 3588 | +<img class="math" src="_images/math/e505767c729ddb13cbb73d25556a9d0e9068a0e6.png" alt="k_l"/> subdiagonals and <img class="math" src="_images/math/f3f323357467e7e665c0bf7dd0ae17c1a8569e8c.png" alt="k_u"/> superdiagonals is represented |
| 3589 | +by a real or complex <tt class="xref py py-class docutils literal"><span class="pre">matrix</span></tt> <tt class="docutils literal"><span class="pre">X</span></tt> of size |
| 3590 | +(<img class="math" src="_images/math/fd01517a0c59ac672be7ebe5d531b3f04e7d92b0.png" alt="k_l + k_u + 1"/>, <img class="math" src="_images/math/174fadd07fd54c9afe288e96558c92e0c1da733a.png" alt="n"/>), and the two integers <img class="math" src="_images/math/f5047d1e0cbb50ec208923a22cd517c55100fa7b.png" alt="m"/> and |
| 3591 | +<img class="math" src="_images/math/e505767c729ddb13cbb73d25556a9d0e9068a0e6.png" alt="k_l"/>. The diagonals of the band matrix are stored in the rows |
| 3592 | +of <tt class="docutils literal"><span class="pre">X</span></tt>, starting at the top diagonal, and shifted horizontally so that |
| 3593 | +the entries of column <img class="math" src="_images/math/8c325612684d41304b9751c175df7bcc0f61f64f.png" alt="k"/> of the band matrix are stored in column |
| 3594 | +<img class="math" src="_images/math/8c325612684d41304b9751c175df7bcc0f61f64f.png" alt="k"/> of <tt class="docutils literal"><span class="pre">X</span></tt>. A <tt class="xref py py-class docutils literal"><span class="pre">matrix</span></tt> <tt class="docutils literal"><span class="pre">X</span></tt> of size |
| 3595 | +(<img class="math" src="_images/math/fd01517a0c59ac672be7ebe5d531b3f04e7d92b0.png" alt="k_l + k_u + 1"/>, <img class="math" src="_images/math/174fadd07fd54c9afe288e96558c92e0c1da733a.png" alt="n"/>) therefore represents the <img class="math" src="_images/math/f5047d1e0cbb50ec208923a22cd517c55100fa7b.png" alt="m"/> |
| 3596 | +by <img class="math" src="_images/math/174fadd07fd54c9afe288e96558c92e0c1da733a.png" alt="n"/> band matrix</p> |
| 3597 | +<div class="last math"> |
| 3598 | +<p><img src="_images/math/7a7c5981a10b05257be74ff3f4854903bfa9052b.png" alt="\left[ \begin{array}{ccccccc} |
| 3599 | + X[k_u,0] & X[k_u-1,1] & X[k_u-2,2] & \cdots & |
| 3600 | + X[0,k_u] & 0 & \cdots \\ |
| 3601 | + X[k_u+1,0] & X[k_u,1] & X[k_u-1,2] & \cdots & |
| 3602 | + X[1,k_u] & X[0,k_u+1] & \cdots \\ |
| 3603 | + X[k_u+2,0] & X[k_u+1,1] & X[k_u,2] & \cdots & |
| 3604 | + X[2,k_u] & X[1,k_u+1] & \cdots \\ |
| 3605 | + \vdots & \vdots & \vdots & \ddots & |
| 3606 | + \vdots & \vdots & \ddots \\ |
| 3607 | + X[k_u+k_l,0] & X[k_u+k_l-1,1] & X[k_u+k_l-2,2] & \cdots & |
| 3608 | + & & \\ |
| 3609 | + 0 & X[k_u+k_l,1] & X[k_u+k_l-1,2] & \cdots & |
| 3610 | + & & \\ |
| 3611 | + \vdots & \vdots & \vdots & \ddots & |
| 3612 | + & & |
| 3613 | +\end{array}\right]." /></p> |
| 3614 | +</div></dd> |
| 3615 | +<dt><strong>Symmetric band matrix</strong></dt> |
| 3616 | +<dd><p class="first">A real or complex symmetric band matrix of order <img class="math" src="_images/math/174fadd07fd54c9afe288e96558c92e0c1da733a.png" alt="n"/> with |
| 3617 | +<img class="math" src="_images/math/8c325612684d41304b9751c175df7bcc0f61f64f.png" alt="k"/> subdiagonals, is represented by a real or complex matrix <tt class="docutils literal"><span class="pre">X</span></tt> |
| 3618 | +of size (<img class="math" src="_images/math/f05f085f774fc8ab50676b778b86a1f1d1114fc8.png" alt="k+1"/>, <img class="math" src="_images/math/174fadd07fd54c9afe288e96558c92e0c1da733a.png" alt="n"/>), and an argument <tt class="docutils literal"><span class="pre">uplo</span></tt> to indicate |
| 3619 | +whether the subdiagonals (<tt class="docutils literal"><span class="pre">uplo</span></tt> is <tt class="xref py py-const docutils literal"><span class="pre">'L'</span></tt>) or superdiagonals |
| 3620 | +(<tt class="docutils literal"><span class="pre">uplo</span></tt> is <tt class="xref py py-const docutils literal"><span class="pre">'U'</span></tt>) are stored. The <img class="math" src="_images/math/f05f085f774fc8ab50676b778b86a1f1d1114fc8.png" alt="k+1"/> diagonals are |
| 3621 | +stored as rows of <tt class="docutils literal"><span class="pre">X</span></tt>, starting at the top diagonal (i.e., the main |
| 3622 | +diagonal if <tt class="docutils literal"><span class="pre">uplo</span></tt> is <tt class="xref py py-const docutils literal"><span class="pre">'L'</span></tt>, or the <img class="math" src="_images/math/8c325612684d41304b9751c175df7bcc0f61f64f.png" alt="k"/>-th superdiagonal |
| 3623 | +if <tt class="docutils literal"><span class="pre">uplo</span></tt> is <tt class="xref py py-const docutils literal"><span class="pre">'U'</span></tt>) and shifted horizontally so that the |
| 3624 | +entries of the <img class="math" src="_images/math/8c325612684d41304b9751c175df7bcc0f61f64f.png" alt="k"/>-th column of the band matrix are stored in |
| 3625 | +column <img class="math" src="_images/math/8c325612684d41304b9751c175df7bcc0f61f64f.png" alt="k"/> of <tt class="docutils literal"><span class="pre">X</span></tt>. A <tt class="xref py py-class docutils literal"><span class="pre">matrix</span></tt> <tt class="docutils literal"><span class="pre">X</span></tt> of size |
| 3626 | +(<img class="math" src="_images/math/f05f085f774fc8ab50676b778b86a1f1d1114fc8.png" alt="k+1"/>, <img class="math" src="_images/math/174fadd07fd54c9afe288e96558c92e0c1da733a.png" alt="n"/>) can therefore represent the band matrices</p> |
| 3627 | +<div class="last math"> |
| 3628 | +<p><img src="_images/math/f316b0ec14c19c1b6879b9d0dda291b1b3eacaf8.png" alt="\left[ \begin{array}{ccccccc} |
| 3629 | + X[0,0] & X[1,0] & X[2,0] & \cdots & X[k,0] & 0 |
| 3630 | + & \cdots \\ |
| 3631 | + X[1,0] & X[0,1] & X[1,1] & \cdots & X[k-1,1] & X[k,1] |
| 3632 | + & \cdots \\ |
| 3633 | + X[2,0] & X[1,1] & X[0,2] & \cdots & X[k-2,2] & X[k-1,2] |
| 3634 | + & \cdots \\ |
| 3635 | + \vdots & \vdots & \vdots & \ddots & \vdots & \vdots |
| 3636 | + & \ddots \\ |
| 3637 | + X[k,0] & X[k-1,1] & X[k-2,2] & \cdots & & & \\ |
| 3638 | + 0 & X[k,1] & X[k-1,2] & \cdots & & & \\ |
| 3639 | + \vdots & \vdots & \vdots & \ddots & & & |
| 3640 | +\end{array}\right] \quad \mbox{(uplo = 'L')}, |
| 3641 | + |
| 3642 | +\left[ \begin{array}{ccccccc} |
| 3643 | + X[k,0] & X[k-1,1] & X[k-2,2] & \cdots & X[0,k] & 0 |
| 3644 | + & \cdots \\ |
| 3645 | + X[k-1,1] & X[k,1] & X[k-1,2] & \cdots & X[1,k] & X[0,k+1] |
| 3646 | + & \cdots \\ |
| 3647 | + X[k-2,2] & X[k-1,2] & X[k,2] & \cdots & X[2,k] & X[1,k+1] |
| 3648 | + & \cdots \\ |
| 3649 | + \vdots & \vdots & \vdots & \ddots & \vdots & \vdots |
| 3650 | + & \ddots \\ |
| 3651 | + X[0,k] & X[1,k] & X[2,k] & \cdots & & & \\ |
| 3652 | + 0 & X[0,k+1] & X[1,k+1] & \cdots & & & \\ |
| 3653 | + \vdots & \vdots & \vdots & \ddots & & & |
| 3654 | +\end{array}\right] \quad \mbox{(uplo='U')}." /></p> |
| 3655 | +</div></dd> |
| 3656 | +<dt><strong>Hermitian band matrix</strong></dt> |
| 3657 | +<dd><p class="first">A complex Hermitian band matrix of order <img class="math" src="_images/math/174fadd07fd54c9afe288e96558c92e0c1da733a.png" alt="n"/> with <img class="math" src="_images/math/8c325612684d41304b9751c175df7bcc0f61f64f.png" alt="k"/> |
| 3658 | +subdiagonals is represented by a complex matrix of size |
| 3659 | +(<img class="math" src="_images/math/f05f085f774fc8ab50676b778b86a1f1d1114fc8.png" alt="k+1"/>, <img class="math" src="_images/math/174fadd07fd54c9afe288e96558c92e0c1da733a.png" alt="n"/>) and an argument <tt class="docutils literal"><span class="pre">uplo</span></tt>, with the same meaning |
| 3660 | +as for symmetric band matrices. A <tt class="xref py py-class docutils literal"><span class="pre">matrix</span></tt> <tt class="docutils literal"><span class="pre">X</span></tt> of size |
| 3661 | +(<img class="math" src="_images/math/f05f085f774fc8ab50676b778b86a1f1d1114fc8.png" alt="k+1"/>, <img class="math" src="_images/math/174fadd07fd54c9afe288e96558c92e0c1da733a.png" alt="n"/>) can represent the band matrices</p> |
| 3662 | +<div class="last math"> |
| 3663 | +<p><img src="_images/math/c3f5a2b8b364fd6006f57a0b03d27d57344fad31.png" alt="\left[ \begin{array}{ccccccc} |
| 3664 | + \Re X[0,0] & \bar X[1,0] & \bar X[2,0] & \cdots & |
| 3665 | + \bar X[k,0] & 0 & \cdots \\ |
| 3666 | + X[1,0] & \Re X[0,1] & \bar X[1,1] & \cdots & |
| 3667 | + \bar X[k-1,1] & \bar X[k,1] & \cdots \\ |
| 3668 | + X[2,0] & X[1,1] & \Re X[0,2] & \cdots & |
| 3669 | + \bar X[k-2,2] & \bar X[k-1,2] & \cdots \\ |
| 3670 | + \vdots & \vdots & \vdots & \ddots & \vdots |
| 3671 | + & \vdots & \ddots \\ |
| 3672 | + X[k,0] & X[k-1,1] & X[k-2,2] & \cdots & & & \\ |
| 3673 | + 0 & X[k,1] & X[k-1,2] & \cdots & & & \\ |
| 3674 | + \vdots & \vdots & \vdots & \ddots & & & |
| 3675 | +\end{array}\right] \quad \mbox{(uplo = 'L')}, |
| 3676 | + |
| 3677 | +\left[ \begin{array}{ccccccc} |
| 3678 | + \Re X[k,0] & X[k-1,1] & X[k-2,2] & \cdots & X[0,k] & |
| 3679 | + 0 & \cdots \\ |
| 3680 | + \bar X[k-1,1] & \Re X[k,1] & X[k-1,2] & \cdots & |
| 3681 | + X[1,k] & X[0,k+1] & \cdots \\ |
| 3682 | + \bar X[k-2,2] & \bar X[k-1,2] & \Re X[k,2] & \cdots & |
| 3683 | + X[2,k] & X[1,k+1] & \cdots \\ |
| 3684 | + \vdots & \vdots & \vdots & \ddots & \vdots & |
| 3685 | + \vdots & \ddots \\ |
| 3686 | + \bar X[0,k] & \bar X[1,k] & \bar X[2,k] & \cdots & |
| 3687 | + & & \\ |
| 3688 | + 0 & \bar X[0,k+1] & \bar X[1,k+1] & \cdots & & & \\ |
| 3689 | + \vdots & \vdots & \vdots & \ddots & & & |
| 3690 | +\end{array}\right] \quad \mbox{(uplo='U')}." /></p> |
| 3691 | +</div></dd> |
| 3692 | +<dt><strong>Triangular band matrix</strong></dt> |
| 3693 | +<dd><p class="first">A triangular band matrix of order <img class="math" src="_images/math/174fadd07fd54c9afe288e96558c92e0c1da733a.png" alt="n"/> with <img class="math" src="_images/math/8c325612684d41304b9751c175df7bcc0f61f64f.png" alt="k"/> subdiagonals |
| 3694 | +or superdiagonals is represented by a real complex matrix of size |
| 3695 | +(<img class="math" src="_images/math/f05f085f774fc8ab50676b778b86a1f1d1114fc8.png" alt="k+1"/>, <img class="math" src="_images/math/174fadd07fd54c9afe288e96558c92e0c1da733a.png" alt="n"/>) and two character arguments <tt class="docutils literal"><span class="pre">uplo</span></tt> and |
| 3696 | +<tt class="docutils literal"><span class="pre">diag</span></tt>, with similar conventions as for symmetric band matrices. |
| 3697 | +A <tt class="xref py py-class docutils literal"><span class="pre">matrix</span></tt> <tt class="docutils literal"><span class="pre">X</span></tt> of size (<img class="math" src="_images/math/f05f085f774fc8ab50676b778b86a1f1d1114fc8.png" alt="k+1"/>, <img class="math" src="_images/math/174fadd07fd54c9afe288e96558c92e0c1da733a.png" alt="n"/>) can represent |
| 3698 | +the band matrices</p> |
| 3699 | +<div class="last math"> |
| 3700 | +<p><img src="_images/math/1682dfd5865597e4ae2222e7e9de20cb5eadd543.png" alt="\left[ \begin{array}{cccc} |
| 3701 | + X[0,0] & 0 & 0 & \cdots \\ |
| 3702 | + X[1,0] & X[0,1] & 0 & \cdots \\ |
| 3703 | + X[2,0] & X[1,1] & X[0,2] & \cdots \\ |
| 3704 | + \vdots & \vdots & \vdots & \ddots \\ |
| 3705 | + X[k,0] & X[k-1,1] & X[k-2,2] & \cdots \\ |
| 3706 | + 0 & X[k,1] & X[k-1,1] & \cdots \\ |
| 3707 | + \vdots & \vdots & \vdots & \ddots |
| 3708 | +\end{array}\right] \quad \mbox{(uplo = 'L', diag = 'N')}, |
| 3709 | + |
| 3710 | +\left[ \begin{array}{cccc} |
| 3711 | + 1 & 0 & 0 & \cdots \\ |
| 3712 | + X[1,0] & 1 & 0 & \cdots \\ |
| 3713 | + X[2,0] & X[1,1] & 1 & \cdots \\ |
| 3714 | + \vdots & \vdots & \vdots & \ddots \\ |
| 3715 | + X[k,0] & X[k-1,1] & X[k-2,2] & \cdots \\ |
| 3716 | + 0 & X[k,1] & X[k-1,2] & \cdots \\ |
| 3717 | + \vdots & \vdots & \vdots & \ddots |
| 3718 | +\end{array}\right] \quad \mbox{(uplo = 'L', diag = 'U')}, |
| 3719 | + |
| 3720 | +\left[ \begin{array}{ccccccc} |
| 3721 | + X[k,0] & X[k-1,1] & X[k-2,3] & \cdots & X[0,k] & |
| 3722 | + 0 & \cdots\\ |
| 3723 | + 0 & X[k,1] & X[k-1,2] & \cdots & X[1,k] & |
| 3724 | + X[0,k+1] & \cdots \\ |
| 3725 | + 0 & 0 & X[k,2] & \cdots & X[2,k] & |
| 3726 | + X[1,k+1] & \cdots \\ |
| 3727 | + \vdots & \vdots & \vdots & \ddots & \vdots & |
| 3728 | + \vdots & \ddots |
| 3729 | +\end{array}\right] \quad \mbox{(uplo = 'U', diag = 'N')}, |
| 3730 | + |
| 3731 | +\left[ \begin{array}{ccccccc} |
| 3732 | + 1 & X[k-1,1] & X[k-2,3] & \cdots & X[0,k] & |
| 3733 | + 0 & \cdots\\ |
| 3734 | + 0 & 1 & X[k-1,2] & \cdots & X[1,k] & |
| 3735 | + X[0,k+1] & \cdots \\ |
| 3736 | + 0 & 0 & 1 & \cdots & X[2,k] & |
| 3737 | + X[1,k+1] & \cdots \\ |
| 3738 | + \vdots & \vdots & \vdots & \ddots & \vdots & |
| 3739 | + \vdots & \ddots |
| 3740 | +\end{array}\right] \quad \mbox{(uplo = 'U', diag = 'U')}." /></p> |
| 3741 | +</div></dd> |
| 3742 | +</dl> |
| 3743 | +<p>When discussing BLAS functions in the following sections we will omit |
| 3744 | +several less important optional arguments that can be used to select |
| 3745 | +submatrices for in-place operations. The complete specification is |
| 3746 | +documented in the docstrings of the source code, and can be viewed with the |
| 3747 | +<strong class="program">pydoc</strong> help program.</p> |
| 3748 | +</div> |
| 3749 | +<div class="section" id="level-1-blas"> |
| 3750 | +<span id="s-blas-1"></span><h2>Level 1 BLAS<a class="headerlink" href="#level-1-blas" title="Permalink to this headline">¶</a></h2> |
| 3751 | +<p>The level 1 functions implement vector operations.</p> |
| 3752 | +<dl class="function"> |
| 3753 | +<dt id="cvxopt.blas.scal"> |
| 3754 | +<tt class="descclassname">cvxopt.blas.</tt><tt class="descname">scal</tt><big>(</big><em>alpha</em>, <em>x</em><big>)</big><a class="headerlink" href="#cvxopt.blas.scal" title="Permalink to this definition">¶</a></dt> |
| 3755 | +<dd><p>Scales a vector by a constant:</p> |
| 3756 | +<div class="math"> |
| 3757 | +<p><img src="_images/math/bb61f81a64370408f0551fc4353d23e18ef98d4c.png" alt="x := \alpha x." /></p> |
| 3758 | +</div><p>If <tt class="docutils literal"><span class="pre">x</span></tt> is a real <tt class="xref py py-class docutils literal"><span class="pre">matrix</span></tt>, the scalar argument <tt class="docutils literal"><span class="pre">alpha</span></tt> must |
| 3759 | +be a Python integer or float. If <tt class="docutils literal"><span class="pre">x</span></tt> is complex, <tt class="docutils literal"><span class="pre">alpha</span></tt> can be an |
| 3760 | +integer, float, or complex.</p> |
| 3761 | +</dd></dl> |
| 3762 | + |
| 3763 | +<dl class="function"> |
| 3764 | +<dt id="cvxopt.blas.nrm2"> |
| 3765 | +<tt class="descclassname">cvxopt.blas.</tt><tt class="descname">nrm2</tt><big>(</big><em>x</em><big>)</big><a class="headerlink" href="#cvxopt.blas.nrm2" title="Permalink to this definition">¶</a></dt> |
| 3766 | +<dd><p>Euclidean norm of a vector: returns</p> |
| 3767 | +<div class="math"> |
| 3768 | +<p><img src="_images/math/29fc3d86ed16d5fbe4a492dfeb0b42778cb9d7ee.png" alt="\|x\|_2." /></p> |
| 3769 | +</div></dd></dl> |
| 3770 | + |
| 3771 | +<dl class="function"> |
| 3772 | +<dt id="cvxopt.blas.asum"> |
| 3773 | +<tt class="descclassname">cvxopt.blas.</tt><tt class="descname">asum</tt><big>(</big><em>x</em><big>)</big><a class="headerlink" href="#cvxopt.blas.asum" title="Permalink to this definition">¶</a></dt> |
| 3774 | +<dd><p>1-Norm of a vector: returns</p> |
| 3775 | +<div class="math"> |
| 3776 | +<p><img src="_images/math/331fc28185082cbfa8c57029e65f9a6bd91cc2aa.png" alt="\|x\|_1 \quad \mbox{($x$ real)}, \qquad |
| 3777 | +\|\Re x\|_1 + \|\Im x\|_1 \quad \mbox{($x$ complex)}." /></p> |
| 3778 | +</div></dd></dl> |
| 3779 | + |
| 3780 | +<dl class="function"> |
| 3781 | +<dt id="cvxopt.blas.iamax"> |
| 3782 | +<tt class="descclassname">cvxopt.blas.</tt><tt class="descname">iamax</tt><big>(</big><em>x</em><big>)</big><a class="headerlink" href="#cvxopt.blas.iamax" title="Permalink to this definition">¶</a></dt> |
| 3783 | +<dd><p>Returns</p> |
| 3784 | +<div class="math"> |
| 3785 | +<p><img src="_images/math/68407b248f3e418bdb58269534bdfe5a9469e8f2.png" alt="\mathop{\rm argmax}_{k=0,\ldots,n-1} |x_k| \quad \mbox{($x$ real)}, |
| 3786 | +\qquad |
| 3787 | +\mathop{\rm argmax}_{k=0,\ldots,n-1} |\Re x_k| + |\Im x_k| \quad |
| 3788 | + \mbox{($x$ complex)}." /></p> |
| 3789 | +</div><p>If more than one coefficient achieves the maximum, the index of the |
| 3790 | +first <img class="math" src="_images/math/8c325612684d41304b9751c175df7bcc0f61f64f.png" alt="k"/> is returned.</p> |
| 3791 | +</dd></dl> |
| 3792 | + |
| 3793 | +<dl class="function"> |
| 3794 | +<dt id="cvxopt.blas.swap"> |
| 3795 | +<tt class="descclassname">cvxopt.blas.</tt><tt class="descname">swap</tt><big>(</big><em>x</em>, <em>y</em><big>)</big><a class="headerlink" href="#cvxopt.blas.swap" title="Permalink to this definition">¶</a></dt> |
| 3796 | +<dd><p>Interchanges two vectors:</p> |
| 3797 | +<div class="math"> |
| 3798 | +<p><img src="_images/math/61fe866fa7cfeca631c397262ad092802ea37a45.png" alt="x \leftrightarrow y." /></p> |
| 3799 | +</div><p><tt class="docutils literal"><span class="pre">x</span></tt> and <tt class="docutils literal"><span class="pre">y</span></tt> are matrices of the same type (<tt class="xref py py-const docutils literal"><span class="pre">'d'</span></tt> or |
| 3800 | +<tt class="xref py py-const docutils literal"><span class="pre">'z'</span></tt>).</p> |
| 3801 | +</dd></dl> |
| 3802 | + |
| 3803 | +<dl class="function"> |
| 3804 | +<dt id="cvxopt.blas.copy"> |
| 3805 | +<tt class="descclassname">cvxopt.blas.</tt><tt class="descname">copy</tt><big>(</big><em>x</em>, <em>y</em><big>)</big><a class="headerlink" href="#cvxopt.blas.copy" title="Permalink to this definition">¶</a></dt> |
| 3806 | +<dd><p>Copies a vector to another vector:</p> |
| 3807 | +<div class="math"> |
| 3808 | +<p><img src="_images/math/acfa751f702680bc6b604771354d26e601da497b.png" alt="y := x." /></p> |
| 3809 | +</div><p><tt class="docutils literal"><span class="pre">x</span></tt> and <tt class="docutils literal"><span class="pre">y</span></tt> are matrices of the same type (<tt class="xref py py-const docutils literal"><span class="pre">'d'</span></tt> or |
| 3810 | +<tt class="xref py py-const docutils literal"><span class="pre">'z'</span></tt>).</p> |
| 3811 | +</dd></dl> |
| 3812 | + |
| 3813 | +<dl class="function"> |
| 3814 | +<dt id="cvxopt.blas.axpy"> |
| 3815 | +<tt class="descclassname">cvxopt.blas.</tt><tt class="descname">axpy</tt><big>(</big><em>x</em>, <em>y</em><span class="optional">[</span>, <em>alpha = 1.0</em><span class="optional">]</span><big>)</big><a class="headerlink" href="#cvxopt.blas.axpy" title="Permalink to this definition">¶</a></dt> |
| 3816 | +<dd><p>Constant times a vector plus a vector:</p> |
| 3817 | +<div class="math"> |
| 3818 | +<p><img src="_images/math/90a07d7ff36fa67dc19d3031fec4a29567cf5ea7.png" alt="y := \alpha x + y." /></p> |
| 3819 | +</div><p><tt class="docutils literal"><span class="pre">x</span></tt> and <tt class="docutils literal"><span class="pre">y</span></tt> are matrices of the same type (<tt class="xref py py-const docutils literal"><span class="pre">'d'</span></tt> or |
| 3820 | +<tt class="xref py py-const docutils literal"><span class="pre">'z'</span></tt>). If <tt class="docutils literal"><span class="pre">x</span></tt> is real, the scalar argument <tt class="docutils literal"><span class="pre">alpha</span></tt> must be |
| 3821 | +a Python integer or float. If <tt class="docutils literal"><span class="pre">x</span></tt> is complex, <tt class="docutils literal"><span class="pre">alpha</span></tt> can be an |
| 3822 | +integer, float, or complex.</p> |
| 3823 | +</dd></dl> |
| 3824 | + |
| 3825 | +<dl class="function"> |
| 3826 | +<dt id="cvxopt.blas.dot"> |
| 3827 | +<tt class="descclassname">cvxopt.blas.</tt><tt class="descname">dot</tt><big>(</big><em>x</em>, <em>y</em><big>)</big><a class="headerlink" href="#cvxopt.blas.dot" title="Permalink to this definition">¶</a></dt> |
| 3828 | +<dd><p>Returns</p> |
| 3829 | +<div class="math"> |
| 3830 | +<p><img src="_images/math/4bce221ce644a2b528da32b012c6275b6271e32b.png" alt="x^Hy." /></p> |
| 3831 | +</div><p><tt class="docutils literal"><span class="pre">x</span></tt> and <tt class="docutils literal"><span class="pre">y</span></tt> are matrices of the same type (<tt class="xref py py-const docutils literal"><span class="pre">'d'</span></tt> or |
| 3832 | +<tt class="xref py py-const docutils literal"><span class="pre">'z'</span></tt>).</p> |
| 3833 | +</dd></dl> |
| 3834 | + |
| 3835 | +<dl class="function"> |
| 3836 | +<dt id="cvxopt.blas.dotu"> |
| 3837 | +<tt class="descclassname">cvxopt.blas.</tt><tt class="descname">dotu</tt><big>(</big><em>x</em>, <em>y</em><big>)</big><a class="headerlink" href="#cvxopt.blas.dotu" title="Permalink to this definition">¶</a></dt> |
| 3838 | +<dd><p>Returns</p> |
| 3839 | +<div class="math"> |
| 3840 | +<p><img src="_images/math/e01558de5153188b3cc8b1243c0dd845c5a3e06a.png" alt="x^Ty." /></p> |
| 3841 | +</div><p><tt class="docutils literal"><span class="pre">x</span></tt> and <tt class="docutils literal"><span class="pre">y</span></tt> are matrices of the same type (<tt class="xref py py-const docutils literal"><span class="pre">'d'</span></tt> or |
| 3842 | +<tt class="xref py py-const docutils literal"><span class="pre">'z'</span></tt>).</p> |
| 3843 | +</dd></dl> |
| 3844 | + |
| 3845 | +</div> |
| 3846 | +<div class="section" id="level-2-blas"> |
| 3847 | +<span id="s-blas-2"></span><h2>Level 2 BLAS<a class="headerlink" href="#level-2-blas" title="Permalink to this headline">¶</a></h2> |
| 3848 | +<p>The level 2 functions implement matrix-vector products and rank-1 and |
| 3849 | +rank-2 matrix updates. Different types of matrix structure can be exploited |
| 3850 | +using the conventions of the section <a class="reference internal" href="#s-conventions"><em>Matrix Classes</em></a>.</p> |
| 3851 | +<dl class="function"> |
| 3852 | +<dt id="cvxopt.blas.gemv"> |
| 3853 | +<tt class="descclassname">cvxopt.blas.</tt><tt class="descname">gemv</tt><big>(</big><em>A</em>, <em>x</em>, <em>y</em><span class="optional">[</span>, <em>trans = 'N'</em>, <em>alpha = 1.0</em>, <em>beta = 0.0</em><span class="optional">]</span><big>)</big><a class="headerlink" href="#cvxopt.blas.gemv" title="Permalink to this definition">¶</a></dt> |
| 3854 | +<dd><p>Matrix-vector product with a general matrix:</p> |
| 3855 | +<div class="math"> |
| 3856 | +<p><img src="_images/math/fc0ad97dd45bc8aa577476f2505b0b03f95b2d54.png" alt="y & := \alpha Ax + \beta y \quad |
| 3857 | + (\mathrm{trans} = \mathrm{'N'}), \\ |
| 3858 | +y & := \alpha A^T x + \beta y \quad |
| 3859 | + (\mathrm{trans} = \mathrm{'T'}), \\ |
| 3860 | +y & := \alpha A^H x + \beta y \quad |
| 3861 | + (\mathrm{trans} = \mathrm{'C'})." /></p> |
| 3862 | +</div><p>The arguments <tt class="docutils literal"><span class="pre">A</span></tt>, <tt class="docutils literal"><span class="pre">x</span></tt>, and <tt class="docutils literal"><span class="pre">y</span></tt> must have the same type |
| 3863 | +(<tt class="xref py py-const docutils literal"><span class="pre">'d'</span></tt> or <tt class="xref py py-const docutils literal"><span class="pre">'z'</span></tt>). Complex values of <tt class="docutils literal"><span class="pre">alpha</span></tt> and |
| 3864 | +<tt class="docutils literal"><span class="pre">beta</span></tt> are only allowed if <tt class="docutils literal"><span class="pre">A</span></tt> is complex.</p> |
| 3865 | +</dd></dl> |
| 3866 | + |
| 3867 | +<dl class="function"> |
| 3868 | +<dt id="cvxopt.blas.symv"> |
| 3869 | +<tt class="descclassname">cvxopt.blas.</tt><tt class="descname">symv</tt><big>(</big><em>A</em>, <em>x</em>, <em>y</em><span class="optional">[</span>, <em>uplo = 'L'</em>, <em>alpha = 1.0</em>, <em>beta = 0.0</em><span class="optional">]</span><big>)</big><a class="headerlink" href="#cvxopt.blas.symv" title="Permalink to this definition">¶</a></dt> |
| 3870 | +<dd><p>Matrix-vector product with a real symmetric matrix:</p> |
| 3871 | +<div class="math"> |
| 3872 | +<p><img src="_images/math/ba43bc2b06256b6e07fab088703404fadb26d608.png" alt="y := \alpha A x + \beta y," /></p> |
| 3873 | +</div><p>where <img class="math" src="_images/math/019e9892786e493964e145e7c5cf7b700314e53b.png" alt="A"/> is a real symmetric matrix. The arguments <tt class="docutils literal"><span class="pre">A</span></tt>, |
| 3874 | +<tt class="docutils literal"><span class="pre">x</span></tt>, and <tt class="docutils literal"><span class="pre">y</span></tt> must have type <tt class="xref py py-const docutils literal"><span class="pre">'d'</span></tt>, and <tt class="docutils literal"><span class="pre">alpha</span></tt> and |
| 3875 | +<tt class="docutils literal"><span class="pre">beta</span></tt> must be real.</p> |
| 3876 | +</dd></dl> |
| 3877 | + |
| 3878 | +<dl class="function"> |
| 3879 | +<dt id="cvxopt.blas.hemv"> |
| 3880 | +<tt class="descclassname">cvxopt.blas.</tt><tt class="descname">hemv</tt><big>(</big><em>A</em>, <em>x</em>, <em>y</em><span class="optional">[</span>, <em>uplo = 'L'</em>, <em>alpha = 1.0</em>, <em>beta = 0.0</em><span class="optional">]</span><big>)</big><a class="headerlink" href="#cvxopt.blas.hemv" title="Permalink to this definition">¶</a></dt> |
| 3881 | +<dd><p>Matrix-vector product with a real symmetric or complex Hermitian |
| 3882 | +matrix:</p> |
| 3883 | +<div class="math"> |
| 3884 | +<p><img src="_images/math/ba43bc2b06256b6e07fab088703404fadb26d608.png" alt="y := \alpha A x + \beta y," /></p> |
| 3885 | +</div><p>where <img class="math" src="_images/math/019e9892786e493964e145e7c5cf7b700314e53b.png" alt="A"/> is real symmetric or complex Hermitian. The arguments |
| 3886 | +<tt class="docutils literal"><span class="pre">A</span></tt>, <tt class="docutils literal"><span class="pre">x</span></tt>, <tt class="docutils literal"><span class="pre">y</span></tt> must have the same type (<tt class="xref py py-const docutils literal"><span class="pre">'d'</span></tt> or |
| 3887 | +<tt class="xref py py-const docutils literal"><span class="pre">'z'</span></tt>). Complex values of <tt class="docutils literal"><span class="pre">alpha</span></tt> and <tt class="docutils literal"><span class="pre">beta</span></tt> are only |
| 3888 | +allowed if <tt class="docutils literal"><span class="pre">A</span></tt> is complex.</p> |
| 3889 | +</dd></dl> |
| 3890 | + |
| 3891 | +<dl class="function"> |
| 3892 | +<dt id="cvxopt.blas.trmv"> |
| 3893 | +<tt class="descclassname">cvxopt.blas.</tt><tt class="descname">trmv</tt><big>(</big><em>A</em>, <em>x</em><span class="optional">[</span>, <em>uplo = 'L'</em>, <em>trans = 'N'</em>, <em>diag = 'N'</em><span class="optional">]</span><big>)</big><a class="headerlink" href="#cvxopt.blas.trmv" title="Permalink to this definition">¶</a></dt> |
| 3894 | +<dd><p>Matrix-vector product with a triangular matrix:</p> |
| 3895 | +<div class="math"> |
| 3896 | +<p><img src="_images/math/754d5ef3c6d24a1becd4e5b7cbbb77ba590f1953.png" alt="x & := Ax \quad (\mathrm{trans} = \mathrm{'N'}), \\ |
| 3897 | +x & := A^T x \quad (\mathrm{trans} = \mathrm{'T'}), \\ |
| 3898 | +x & := A^H x \quad (\mathrm{trans} = \mathrm{'C'})," /></p> |
| 3899 | +</div><p>where <img class="math" src="_images/math/019e9892786e493964e145e7c5cf7b700314e53b.png" alt="A"/> is square and triangular. The arguments <tt class="docutils literal"><span class="pre">A</span></tt> and |
| 3900 | +<tt class="docutils literal"><span class="pre">x</span></tt> must have the same type (<tt class="xref py py-const docutils literal"><span class="pre">'d'</span></tt> or <tt class="xref py py-const docutils literal"><span class="pre">'z'</span></tt>).</p> |
| 3901 | +</dd></dl> |
| 3902 | + |
| 3903 | +<dl class="function"> |
| 3904 | +<dt id="cvxopt.blas.trsv"> |
| 3905 | +<tt class="descclassname">cvxopt.blas.</tt><tt class="descname">trsv</tt><big>(</big><em>A</em>, <em>x</em><span class="optional">[</span>, <em>uplo = 'L'</em>, <em>trans = 'N'</em>, <em>diag = 'N'</em><span class="optional">]</span><big>)</big><a class="headerlink" href="#cvxopt.blas.trsv" title="Permalink to this definition">¶</a></dt> |
| 3906 | +<dd><p>Solution of a nonsingular triangular set of linear equations:</p> |
| 3907 | +<div class="math"> |
| 3908 | +<p><img src="_images/math/7a99df5a9041f467f8002a277dedba09aa30420d.png" alt="x & := A^{-1}x \quad (\mathrm{trans} = \mathrm{'N'}), \\ |
| 3909 | +x & := A^{-T}x \quad (\mathrm{trans} = \mathrm{'T'}), \\ |
| 3910 | +x & := A^{-H}x \quad (\mathrm{trans} = \mathrm{'C'})," /></p> |
| 3911 | +</div><p>where <img class="math" src="_images/math/019e9892786e493964e145e7c5cf7b700314e53b.png" alt="A"/> is square and triangular with nonzero diagonal elements. |
| 3912 | +The arguments <tt class="docutils literal"><span class="pre">A</span></tt> and <tt class="docutils literal"><span class="pre">x</span></tt> must have the same type (<tt class="xref py py-const docutils literal"><span class="pre">'d'</span></tt> or |
| 3913 | +<tt class="xref py py-const docutils literal"><span class="pre">'z'</span></tt>).</p> |
| 3914 | +</dd></dl> |
| 3915 | + |
| 3916 | +<dl class="function"> |
| 3917 | +<dt id="cvxopt.blas.gbmv"> |
| 3918 | +<tt class="descclassname">cvxopt.blas.</tt><tt class="descname">gbmv</tt><big>(</big><em>A</em>, <em>m</em>, <em>kl</em>, <em>x</em>, <em>y</em><span class="optional">[</span>, <em>trans = 'N'</em>, <em>alpha = 1.0</em>, <em>beta = 0.0</em><span class="optional">]</span><big>)</big><a class="headerlink" href="#cvxopt.blas.gbmv" title="Permalink to this definition">¶</a></dt> |
| 3919 | +<dd><p>Matrix-vector product with a general band matrix:</p> |
| 3920 | +<div class="math"> |
| 3921 | +<p><img src="_images/math/1a877016ae6db3fb612a56ec2989e72844db99f7.png" alt="y & := \alpha Ax + \beta y \quad |
| 3922 | + (\mathrm{trans} = \mathrm{'N'}), \\ |
| 3923 | +y & := \alpha A^T x + \beta y \quad |
| 3924 | + (\mathrm{trans} = \mathrm{'T'}), \\ |
| 3925 | +y & := \alpha A^H x + \beta y \quad |
| 3926 | + (\mathrm{trans} = \mathrm{'C'})," /></p> |
| 3927 | +</div><p>where <img class="math" src="_images/math/019e9892786e493964e145e7c5cf7b700314e53b.png" alt="A"/> is a rectangular band matrix with <img class="math" src="_images/math/f5047d1e0cbb50ec208923a22cd517c55100fa7b.png" alt="m"/> rows and |
| 3928 | +<img class="math" src="_images/math/e505767c729ddb13cbb73d25556a9d0e9068a0e6.png" alt="k_l"/> subdiagonals. The arguments <tt class="docutils literal"><span class="pre">A</span></tt>, <tt class="docutils literal"><span class="pre">x</span></tt>, <tt class="docutils literal"><span class="pre">y</span></tt> must have |
| 3929 | +the same type (<tt class="xref py py-const docutils literal"><span class="pre">'d'</span></tt> or <tt class="xref py py-const docutils literal"><span class="pre">'z'</span></tt>). Complex values of |
| 3930 | +<tt class="docutils literal"><span class="pre">alpha</span></tt> and <tt class="docutils literal"><span class="pre">beta</span></tt> are only allowed if <tt class="docutils literal"><span class="pre">A</span></tt> is complex.</p> |
| 3931 | +</dd></dl> |
| 3932 | + |
| 3933 | +<dl class="function"> |
| 3934 | +<dt id="cvxopt.blas.sbmv"> |
| 3935 | +<tt class="descclassname">cvxopt.blas.</tt><tt class="descname">sbmv</tt><big>(</big><em>A</em>, <em>x</em>, <em>y</em><span class="optional">[</span>, <em>uplo = 'L'</em>, <em>alpha = 1.0</em>, <em>beta = 0.0</em><span class="optional">]</span><big>)</big><a class="headerlink" href="#cvxopt.blas.sbmv" title="Permalink to this definition">¶</a></dt> |
| 3936 | +<dd><p>Matrix-vector product with a real symmetric band matrix:</p> |
| 3937 | +<div class="math"> |
| 3938 | +<p><img src="_images/math/02fddc92b9ba6d1b1edb8918191220db96c48859.png" alt="y := \alpha Ax + \beta y," /></p> |
| 3939 | +</div><p>where <img class="math" src="_images/math/019e9892786e493964e145e7c5cf7b700314e53b.png" alt="A"/> is a real symmetric band matrix. The arguments |
| 3940 | +<tt class="docutils literal"><span class="pre">A</span></tt>, <tt class="docutils literal"><span class="pre">x</span></tt>, <tt class="docutils literal"><span class="pre">y</span></tt> must have type <tt class="xref py py-const docutils literal"><span class="pre">'d'</span></tt>, and <tt class="docutils literal"><span class="pre">alpha</span></tt> and |
| 3941 | +<tt class="docutils literal"><span class="pre">beta</span></tt> must be real.</p> |
| 3942 | +</dd></dl> |
| 3943 | + |
| 3944 | +<dl class="function"> |
| 3945 | +<dt id="cvxopt.blas.hbmv"> |
| 3946 | +<tt class="descclassname">cvxopt.blas.</tt><tt class="descname">hbmv</tt><big>(</big><em>A</em>, <em>x</em>, <em>y</em><span class="optional">[</span>, <em>uplo = 'L'</em>, <em>alpha = 1.0</em>, <em>beta = 0.0</em><span class="optional">]</span><big>)</big><a class="headerlink" href="#cvxopt.blas.hbmv" title="Permalink to this definition">¶</a></dt> |
| 3947 | +<dd><p>Matrix-vector product with a real symmetric or complex Hermitian band |
| 3948 | +matrix:</p> |
| 3949 | +<div class="math"> |
| 3950 | +<p><img src="_images/math/02fddc92b9ba6d1b1edb8918191220db96c48859.png" alt="y := \alpha Ax + \beta y," /></p> |
| 3951 | +</div><p>where <img class="math" src="_images/math/019e9892786e493964e145e7c5cf7b700314e53b.png" alt="A"/> is a real symmetric or complex Hermitian band matrix. |
| 3952 | +The arguments <tt class="docutils literal"><span class="pre">A</span></tt>, <tt class="docutils literal"><span class="pre">x</span></tt>, <tt class="docutils literal"><span class="pre">y</span></tt> must have the same type |
| 3953 | +(<tt class="xref py py-const docutils literal"><span class="pre">'d'</span></tt> or <tt class="xref py py-const docutils literal"><span class="pre">'z'</span></tt>). Complex values of <tt class="docutils literal"><span class="pre">alpha</span></tt> and |
| 3954 | +<tt class="docutils literal"><span class="pre">beta</span></tt> are only allowed if <tt class="docutils literal"><span class="pre">A</span></tt> is complex.</p> |
| 3955 | +</dd></dl> |
| 3956 | + |
| 3957 | +<dl class="function"> |
| 3958 | +<dt id="cvxopt.blas.tbmv"> |
| 3959 | +<tt class="descclassname">cvxopt.blas.</tt><tt class="descname">tbmv</tt><big>(</big><em>A</em>, <em>x</em><span class="optional">[</span>, <em>uplo = 'L'</em>, <em>trans = 'N'</em>, <em>diag = 'N'</em><span class="optional">]</span><big>)</big><a class="headerlink" href="#cvxopt.blas.tbmv" title="Permalink to this definition">¶</a></dt> |
| 3960 | +<dd><p>Matrix-vector product with a triangular band matrix:</p> |
| 3961 | +<div class="math"> |
| 3962 | +<p><img src="_images/math/cad47014eeee6c0af4656757866126b36f1b9c0f.png" alt="x & := Ax \quad (\mathrm{trans} = \mathrm{'N'}), \\ |
| 3963 | +x & := A^T x \quad (\mathrm{trans} = \mathrm{'T'}), \\ |
| 3964 | +x & := A^H x \quad (\mathrm{trans} = \mathrm{'C'})." /></p> |
| 3965 | +</div><p>The arguments <tt class="docutils literal"><span class="pre">A</span></tt> and <tt class="docutils literal"><span class="pre">x</span></tt> must have the same type (<tt class="xref py py-const docutils literal"><span class="pre">'d'</span></tt> or |
| 3966 | +<tt class="xref py py-const docutils literal"><span class="pre">'z'</span></tt>).</p> |
| 3967 | +</dd></dl> |
| 3968 | + |
| 3969 | +<dl class="function"> |
| 3970 | +<dt id="cvxopt.blas.tbsv"> |
| 3971 | +<tt class="descclassname">cvxopt.blas.</tt><tt class="descname">tbsv</tt><big>(</big><em>A</em>, <em>x</em><span class="optional">[</span>, <em>uplo = 'L'</em>, <em>trans = 'N'</em>, <em>diag = 'N'</em><span class="optional">]</span><big>)</big><a class="headerlink" href="#cvxopt.blas.tbsv" title="Permalink to this definition">¶</a></dt> |
| 3972 | +<dd><p>Solution of a triangular banded set of linear equations:</p> |
| 3973 | +<div class="math"> |
| 3974 | +<p><img src="_images/math/e16fb4f37439c49cd32f0cb017826e80af2b5330.png" alt="x & := A^{-1}x \quad (\mathrm{trans} = \mathrm{'N'}), \\ |
| 3975 | +x & := A^{-T} x \quad (\mathrm{trans} = \mathrm{'T'}), \\ |
| 3976 | +x & := A^{-H} x \quad (\mathrm{trans} = \mathrm{'T'})," /></p> |
| 3977 | +</div><p>where <img class="math" src="_images/math/019e9892786e493964e145e7c5cf7b700314e53b.png" alt="A"/> is a triangular band matrix of with nonzero diagonal |
| 3978 | +elements. The arguments <tt class="docutils literal"><span class="pre">A</span></tt> and <tt class="docutils literal"><span class="pre">x</span></tt> must have the same type |
| 3979 | +(<tt class="xref py py-const docutils literal"><span class="pre">'d'</span></tt> or <tt class="xref py py-const docutils literal"><span class="pre">'z'</span></tt>).</p> |
| 3980 | +</dd></dl> |
| 3981 | + |
| 3982 | +<dl class="function"> |
| 3983 | +<dt id="cvxopt.blas.ger"> |
| 3984 | +<tt class="descclassname">cvxopt.blas.</tt><tt class="descname">ger</tt><big>(</big><em>x</em>, <em>y</em>, <em>A</em><span class="optional">[</span>, <em>alpha = 1.0</em><span class="optional">]</span><big>)</big><a class="headerlink" href="#cvxopt.blas.ger" title="Permalink to this definition">¶</a></dt> |
| 3985 | +<dd><p>General rank-1 update:</p> |
| 3986 | +<div class="math"> |
| 3987 | +<p><img src="_images/math/5a1d0cfaccab316e80ee73f75d7a3259def3ffd2.png" alt="A := A + \alpha x y^H," /></p> |
| 3988 | +</div><p>where <img class="math" src="_images/math/019e9892786e493964e145e7c5cf7b700314e53b.png" alt="A"/> is a general matrix. The arguments <tt class="docutils literal"><span class="pre">A</span></tt>, <tt class="docutils literal"><span class="pre">x</span></tt>, and |
| 3989 | +<tt class="docutils literal"><span class="pre">y</span></tt> must have the same type (<tt class="xref py py-const docutils literal"><span class="pre">'d'</span></tt> or <tt class="xref py py-const docutils literal"><span class="pre">'z'</span></tt>). Complex |
| 3990 | +values of <tt class="docutils literal"><span class="pre">alpha</span></tt> are only allowed if <tt class="docutils literal"><span class="pre">A</span></tt> is complex.</p> |
| 3991 | +</dd></dl> |
| 3992 | + |
| 3993 | +<dl class="function"> |
| 3994 | +<dt id="cvxopt.blas.geru"> |
| 3995 | +<tt class="descclassname">cvxopt.blas.</tt><tt class="descname">geru</tt><big>(</big><em>x</em>, <em>y</em>, <em>A</em><span class="optional">[</span>, <em>alpha = 1.0</em><span class="optional">]</span><big>)</big><a class="headerlink" href="#cvxopt.blas.geru" title="Permalink to this definition">¶</a></dt> |
| 3996 | +<dd><p>General rank-1 update:</p> |
| 3997 | +<div class="math"> |
| 3998 | +<p><img src="_images/math/a2cd54430a2ef28aec0877c9ad824d0f93ad5d58.png" alt="A := A + \alpha x y^T," /></p> |
| 3999 | +</div><p>where <img class="math" src="_images/math/019e9892786e493964e145e7c5cf7b700314e53b.png" alt="A"/> is a general matrix. The arguments <tt class="docutils literal"><span class="pre">A</span></tt>, <tt class="docutils literal"><span class="pre">x</span></tt>, and |
| 4000 | +<tt class="docutils literal"><span class="pre">y</span></tt> must have the same type (<tt class="xref py py-const docutils literal"><span class="pre">'d'</span></tt> or <tt class="xref py py-const docutils literal"><span class="pre">'z'</span></tt>). Complex |
| 4001 | +values of <tt class="docutils literal"><span class="pre">alpha</span></tt> are only allowed if <tt class="docutils literal"><span class="pre">A</span></tt> is complex.</p> |
| 4002 | +</dd></dl> |
| 4003 | + |
| 4004 | +<dl class="function"> |
| 4005 | +<dt id="cvxopt.blas.syr"> |
| 4006 | +<tt class="descclassname">cvxopt.blas.</tt><tt class="descname">syr</tt><big>(</big><em>x</em>, <em>A</em><span class="optional">[</span>, <em>uplo = 'L'</em>, <em>alpha = 1.0</em><span class="optional">]</span><big>)</big><a class="headerlink" href="#cvxopt.blas.syr" title="Permalink to this definition">¶</a></dt> |
| 4007 | +<dd><p>Symmetric rank-1 update:</p> |
| 4008 | +<div class="math"> |
| 4009 | +<p><img src="_images/math/4b0d8c7c85d040eab00b7b39b8267acccc40dc84.png" alt="A := A + \alpha xx^T," /></p> |
| 4010 | +</div><p>where <img class="math" src="_images/math/019e9892786e493964e145e7c5cf7b700314e53b.png" alt="A"/> is a real symmetric matrix. The arguments <tt class="docutils literal"><span class="pre">A</span></tt> and |
| 4011 | +<tt class="docutils literal"><span class="pre">x</span></tt> must have type <tt class="xref py py-const docutils literal"><span class="pre">'d'</span></tt>. <tt class="docutils literal"><span class="pre">alpha</span></tt> must be a real number.</p> |
| 4012 | +</dd></dl> |
| 4013 | + |
| 4014 | +<dl class="function"> |
| 4015 | +<dt id="cvxopt.blas.her"> |
| 4016 | +<tt class="descclassname">cvxopt.blas.</tt><tt class="descname">her</tt><big>(</big><em>x</em>, <em>A</em><span class="optional">[</span>, <em>uplo = 'L'</em>, <em>alpha = 1.0</em><span class="optional">]</span><big>)</big><a class="headerlink" href="#cvxopt.blas.her" title="Permalink to this definition">¶</a></dt> |
| 4017 | +<dd><p>Hermitian rank-1 update:</p> |
| 4018 | +<div class="math"> |
| 4019 | +<p><img src="_images/math/61d28c051484889a582fdaefefe98db6b31ce347.png" alt="A := A + \alpha xx^H," /></p> |
| 4020 | +</div><p>where <img class="math" src="_images/math/019e9892786e493964e145e7c5cf7b700314e53b.png" alt="A"/> is a real symmetric or complex Hermitian matrix. The |
| 4021 | +arguments <tt class="docutils literal"><span class="pre">A</span></tt> and <tt class="docutils literal"><span class="pre">x</span></tt> must have the same type (<tt class="xref py py-const docutils literal"><span class="pre">'d'</span></tt> or |
| 4022 | +<tt class="xref py py-const docutils literal"><span class="pre">'z'</span></tt>). <tt class="docutils literal"><span class="pre">alpha</span></tt> must be a real number.</p> |
| 4023 | +</dd></dl> |
| 4024 | + |
| 4025 | +<dl class="function"> |
| 4026 | +<dt id="cvxopt.blas.syr2"> |
| 4027 | +<tt class="descclassname">cvxopt.blas.</tt><tt class="descname">syr2</tt><big>(</big><em>x</em>, <em>y</em>, <em>A</em><span class="optional">[</span>, <em>uplo = 'L'</em>, <em>alpha = 1.0</em><span class="optional">]</span><big>)</big><a class="headerlink" href="#cvxopt.blas.syr2" title="Permalink to this definition">¶</a></dt> |
| 4028 | +<dd><p>Symmetric rank-2 update:</p> |
| 4029 | +<div class="math"> |
| 4030 | +<p><img src="_images/math/193a10d6257248249fc9ba6a97ebf8db48d8dd96.png" alt="A := A + \alpha (xy^T + yx^T)," /></p> |
| 4031 | +</div><p>where <img class="math" src="_images/math/019e9892786e493964e145e7c5cf7b700314e53b.png" alt="A"/> is a real symmetric matrix. The arguments <tt class="docutils literal"><span class="pre">A</span></tt>, <tt class="docutils literal"><span class="pre">x</span></tt>, |
| 4032 | +and <tt class="docutils literal"><span class="pre">y</span></tt> must have type <tt class="xref py py-const docutils literal"><span class="pre">'d'</span></tt>. <tt class="docutils literal"><span class="pre">alpha</span></tt> must be real.</p> |
| 4033 | +</dd></dl> |
| 4034 | + |
| 4035 | +<dl class="function"> |
| 4036 | +<dt id="cvxopt.blas.her2"> |
| 4037 | +<tt class="descclassname">cvxopt.blas.</tt><tt class="descname">her2</tt><big>(</big><em>x</em>, <em>y</em>, <em>A</em><span class="optional">[</span>, <em>uplo = 'L'</em>, <em>alpha = 1.0</em><span class="optional">]</span><big>)</big><a class="headerlink" href="#cvxopt.blas.her2" title="Permalink to this definition">¶</a></dt> |
| 4038 | +<dd><p>Symmetric rank-2 update:</p> |
| 4039 | +<div class="math"> |
| 4040 | +<p><img src="_images/math/1c1f67a0734afc239885815cb3fdca712cdeee34.png" alt="A := A + \alpha xy^H + \bar \alpha yx^H," /></p> |
| 4041 | +</div><p>where <img class="math" src="_images/math/019e9892786e493964e145e7c5cf7b700314e53b.png" alt="A"/> is a a real symmetric or complex Hermitian matrix. |
| 4042 | +The arguments <tt class="docutils literal"><span class="pre">A</span></tt>, <tt class="docutils literal"><span class="pre">x</span></tt>, and <tt class="docutils literal"><span class="pre">y</span></tt> must have the same type |
| 4043 | +(<tt class="xref py py-const docutils literal"><span class="pre">'d'</span></tt> or <tt class="xref py py-const docutils literal"><span class="pre">'z'</span></tt>). Complex values of <tt class="docutils literal"><span class="pre">alpha</span></tt> are only |
| 4044 | +allowed if <tt class="docutils literal"><span class="pre">A</span></tt> is complex.</p> |
| 4045 | +</dd></dl> |
| 4046 | + |
| 4047 | +<p>As an example, the following code multiplies the tridiagonal matrix</p> |
| 4048 | +<div class="math"> |
| 4049 | +<p><img src="_images/math/b000af80200fdf7effeeb2515d90d10fddd5e710.png" alt="A = \left[\begin{array}{rrrr} |
| 4050 | + 1 & 6 & 0 & 0 \\ |
| 4051 | + 2 & -4 & 3 & 0 \\ |
| 4052 | + 0 & -3 & -1 & 1 |
| 4053 | +\end{array}\right]" /></p> |
| 4054 | +</div><p>with the vector <img class="math" src="_images/math/2234314d95cdb2e0ee644869eeb7bd365fd64fca.png" alt="x = (1,-1,2,-2)"/>.</p> |
| 4055 | +<div class="highlight-python"><div class="highlight"><pre><span class="gp">>>> </span><span class="kn">from</span> <span class="nn">cvxopt</span> <span class="kn">import</span> <span class="n">matrix</span> |
| 4056 | +<span class="gp">>>> </span><span class="kn">from</span> <span class="nn">cvxopt.blas</span> <span class="kn">import</span> <span class="n">gbmv</span> |
| 4057 | +<span class="gp">>>> </span><span class="n">A</span> <span class="o">=</span> <span class="n">matrix</span><span class="p">([[</span><span class="mf">0.</span><span class="p">,</span> <span class="mf">1.</span><span class="p">,</span> <span class="mf">2.</span><span class="p">],</span> <span class="p">[</span><span class="mf">6.</span><span class="p">,</span> <span class="o">-</span><span class="mf">4.</span><span class="p">,</span> <span class="o">-</span><span class="mf">3.</span><span class="p">],</span> <span class="p">[</span><span class="mf">3.</span><span class="p">,</span> <span class="o">-</span><span class="mf">1.</span><span class="p">,</span> <span class="mf">0.</span><span class="p">],</span> <span class="p">[</span><span class="mf">1.</span><span class="p">,</span> <span class="mf">0.</span><span class="p">,</span> <span class="mf">0.</span><span class="p">]])</span> |
| 4058 | +<span class="gp">>>> </span><span class="n">x</span> <span class="o">=</span> <span class="n">matrix</span><span class="p">([</span><span class="mf">1.</span><span class="p">,</span> <span class="o">-</span><span class="mf">1.</span><span class="p">,</span> <span class="mf">2.</span><span class="p">,</span> <span class="o">-</span><span class="mf">2.</span><span class="p">])</span> |
| 4059 | +<span class="gp">>>> </span><span class="n">y</span> <span class="o">=</span> <span class="n">matrix</span><span class="p">(</span><span class="mf">0.</span><span class="p">,</span> <span class="p">(</span><span class="mi">3</span><span class="p">,</span><span class="mi">1</span><span class="p">))</span> |
| 4060 | +<span class="gp">>>> </span><span class="n">gbmv</span><span class="p">(</span><span class="n">A</span><span class="p">,</span> <span class="mi">3</span><span class="p">,</span> <span class="mi">1</span><span class="p">,</span> <span class="n">x</span><span class="p">,</span> <span class="n">y</span><span class="p">)</span> |
| 4061 | +<span class="gp">>>> </span><span class="k">print</span> <span class="n">y</span> |
| 4062 | +<span class="go">[-5.00e+00]</span> |
| 4063 | +<span class="go">[ 1.20e+01]</span> |
| 4064 | +<span class="go">[-1.00e+00]</span> |
| 4065 | +</pre></div> |
| 4066 | +</div> |
| 4067 | +<p>The following example illustrates the use of |
| 4068 | +<a class="reference internal" href="#cvxopt.blas.tbsv" title="cvxopt.blas.tbsv"><tt class="xref py py-func docutils literal"><span class="pre">tbsv</span></tt></a>.</p> |
| 4069 | +<div class="highlight-python"><div class="highlight"><pre><span class="gp">>>> </span><span class="kn">from</span> <span class="nn">cvxopt</span> <span class="kn">import</span> <span class="n">matrix</span> |
| 4070 | +<span class="gp">>>> </span><span class="kn">from</span> <span class="nn">cvxopt.blas</span> <span class="kn">import</span> <span class="n">tbsv</span> |
| 4071 | +<span class="gp">>>> </span><span class="n">A</span> <span class="o">=</span> <span class="n">matrix</span><span class="p">([</span><span class="o">-</span><span class="mf">6.</span><span class="p">,</span> <span class="mf">5.</span><span class="p">,</span> <span class="o">-</span><span class="mf">1.</span><span class="p">,</span> <span class="mf">2.</span><span class="p">],</span> <span class="p">(</span><span class="mi">1</span><span class="p">,</span><span class="mi">4</span><span class="p">))</span> |
| 4072 | +<span class="gp">>>> </span><span class="n">x</span> <span class="o">=</span> <span class="n">matrix</span><span class="p">(</span><span class="mf">1.0</span><span class="p">,</span> <span class="p">(</span><span class="mi">4</span><span class="p">,</span><span class="mi">1</span><span class="p">))</span> |
| 4073 | +<span class="gp">>>> </span><span class="n">tbsv</span><span class="p">(</span><span class="n">A</span><span class="p">,</span> <span class="n">x</span><span class="p">)</span> <span class="c"># x := diag(A)^{-1}*x</span> |
| 4074 | +<span class="gp">>>> </span><span class="k">print</span> <span class="n">x</span> |
| 4075 | +<span class="go">[-1.67e-01]</span> |
| 4076 | +<span class="go">[ 2.00e-01]</span> |
| 4077 | +<span class="go">[-1.00e+00]</span> |
| 4078 | +<span class="go">[ 5.00e-01]</span> |
| 4079 | +</pre></div> |
| 4080 | +</div> |
| 4081 | +</div> |
| 4082 | +<div class="section" id="level-3-blas"> |
| 4083 | +<span id="s-blas-3"></span><h2>Level 3 BLAS<a class="headerlink" href="#level-3-blas" title="Permalink to this headline">¶</a></h2> |
| 4084 | +<p>The level 3 BLAS include functions for matrix-matrix multiplication.</p> |
| 4085 | +<dl class="function"> |
| 4086 | +<dt id="cvxopt.blas.gemm"> |
| 4087 | +<tt class="descclassname">cvxopt.blas.</tt><tt class="descname">gemm</tt><big>(</big><em>A</em>, <em>B</em>, <em>C</em><span class="optional">[</span>, <em>transA = 'N'</em>, <em>transB = 'N'</em>, <em>alpha = 1.0</em>, <em>beta = 0.0</em><span class="optional">]</span><big>)</big><a class="headerlink" href="#cvxopt.blas.gemm" title="Permalink to this definition">¶</a></dt> |
| 4088 | +<dd><p>Matrix-matrix product of two general matrices:</p> |
| 4089 | +<div class="math"> |
| 4090 | +<p><img src="_images/math/5c402c86863bfced2e5a4bdcb849f659c2518762.png" alt="\newcommand{\op}{\mathop{\mathrm{op}}} |
| 4091 | +C := \alpha \op(A) \op(B) + \beta C" /></p> |
| 4092 | +</div><p>where</p> |
| 4093 | +<div class="math"> |
| 4094 | +<p><img src="_images/math/e39b614d32f074ae2f65c950cb3786a70353230d.png" alt="\newcommand{\op}{\mathop{\mathrm{op}}} |
| 4095 | +\op(A) = \left\{ \begin{array}{ll} |
| 4096 | + A & \mathrm{transA} = \mathrm{'N'} \\ |
| 4097 | + A^T & \mathrm{transA} = \mathrm{'T'} \\ |
| 4098 | + A^H & \mathrm{transA} = \mathrm{'C'} \end{array} \right. |
| 4099 | +\qquad |
| 4100 | +\op(B) = \left\{ \begin{array}{ll} |
| 4101 | + B & \mathrm{transB} = \mathrm{'N'} \\ |
| 4102 | + B^T & \mathrm{transB} = \mathrm{'T'} \\ |
| 4103 | + B^H & \mathrm{transB} = \mathrm{'C'}. \end{array} \right." /></p> |
| 4104 | +</div><p>The arguments <tt class="docutils literal"><span class="pre">A</span></tt>, <tt class="docutils literal"><span class="pre">B</span></tt>, and <tt class="docutils literal"><span class="pre">C</span></tt> must have the same type |
| 4105 | +(<tt class="xref py py-const docutils literal"><span class="pre">'d'</span></tt> or <tt class="xref py py-const docutils literal"><span class="pre">'z'</span></tt>). Complex values of <tt class="docutils literal"><span class="pre">alpha</span></tt> and |
| 4106 | +<tt class="docutils literal"><span class="pre">beta</span></tt> are only allowed if <tt class="docutils literal"><span class="pre">A</span></tt> is complex.</p> |
| 4107 | +</dd></dl> |
| 4108 | + |
| 4109 | +<dl class="function"> |
| 4110 | +<dt id="cvxopt.blas.symm"> |
| 4111 | +<tt class="descclassname">cvxopt.blas.</tt><tt class="descname">symm</tt><big>(</big><em>A</em>, <em>B</em>, <em>C</em><span class="optional">[</span>, <em>side = 'L'</em>, <em>uplo = 'L'</em>, <em>alpha =1.0</em>, <em>beta = 0.0</em><span class="optional">]</span><big>)</big><a class="headerlink" href="#cvxopt.blas.symm" title="Permalink to this definition">¶</a></dt> |
| 4112 | +<dd><p>Product of a real or complex symmetric matrix <img class="math" src="_images/math/019e9892786e493964e145e7c5cf7b700314e53b.png" alt="A"/> and a general |
| 4113 | +matrix <img class="math" src="_images/math/ff5fb3d775862e2123b007eb4373ff6cc1a34d4e.png" alt="B"/>:</p> |
| 4114 | +<div class="math"> |
| 4115 | +<p><img src="_images/math/1321ae4fe422737feacf3c1da9c8d2f78b542272.png" alt="C & := \alpha AB + \beta C \quad (\mathrm{side} = \mathrm{'L'}), \\ |
| 4116 | +C & := \alpha BA + \beta C \quad (\mathrm{side} = \mathrm{'R'})." /></p> |
| 4117 | +</div><p>The arguments <tt class="docutils literal"><span class="pre">A</span></tt>, <tt class="docutils literal"><span class="pre">B</span></tt>, and <tt class="docutils literal"><span class="pre">C</span></tt> must have the same type |
| 4118 | +(<tt class="xref py py-const docutils literal"><span class="pre">'d'</span></tt> or <tt class="xref py py-const docutils literal"><span class="pre">'z'</span></tt>). Complex values of <tt class="docutils literal"><span class="pre">alpha</span></tt> and |
| 4119 | +<tt class="docutils literal"><span class="pre">beta</span></tt> are only allowed if <tt class="docutils literal"><span class="pre">A</span></tt> is complex.</p> |
| 4120 | +</dd></dl> |
| 4121 | + |
| 4122 | +<dl class="function"> |
| 4123 | +<dt id="cvxopt.blas.hemm"> |
| 4124 | +<tt class="descclassname">cvxopt.blas.</tt><tt class="descname">hemm</tt><big>(</big><em>A</em>, <em>B</em>, <em>C</em><span class="optional">[</span>, <em>side = 'L'</em>, <em>uplo = 'L'</em>, <em>alpha = 1.0</em>, <em>beta = 0.0</em><span class="optional">]</span><big>)</big><a class="headerlink" href="#cvxopt.blas.hemm" title="Permalink to this definition">¶</a></dt> |
| 4125 | +<dd><p>Product of a real symmetric or complex Hermitian matrix <img class="math" src="_images/math/019e9892786e493964e145e7c5cf7b700314e53b.png" alt="A"/> and a |
| 4126 | +general matrix <img class="math" src="_images/math/ff5fb3d775862e2123b007eb4373ff6cc1a34d4e.png" alt="B"/>:</p> |
| 4127 | +<div class="math"> |
| 4128 | +<p><img src="_images/math/1321ae4fe422737feacf3c1da9c8d2f78b542272.png" alt="C & := \alpha AB + \beta C \quad (\mathrm{side} = \mathrm{'L'}), \\ |
| 4129 | +C & := \alpha BA + \beta C \quad (\mathrm{side} = \mathrm{'R'})." /></p> |
| 4130 | +</div><p>The arguments <tt class="docutils literal"><span class="pre">A</span></tt>, <tt class="docutils literal"><span class="pre">B</span></tt>, and <tt class="docutils literal"><span class="pre">C</span></tt> must have the same type |
| 4131 | +(<tt class="xref py py-const docutils literal"><span class="pre">'d'</span></tt> or <tt class="xref py py-const docutils literal"><span class="pre">'z'</span></tt>). Complex values of <tt class="docutils literal"><span class="pre">alpha</span></tt> and |
| 4132 | +<tt class="docutils literal"><span class="pre">beta</span></tt> are only allowed if <tt class="docutils literal"><span class="pre">A</span></tt> is complex.</p> |
| 4133 | +</dd></dl> |
| 4134 | + |
| 4135 | +<dl class="function"> |
| 4136 | +<dt id="cvxopt.blas.trmm"> |
| 4137 | +<tt class="descclassname">cvxopt.blas.</tt><tt class="descname">trmm</tt><big>(</big><em>A</em>, <em>B</em><span class="optional">[</span>, <em>side = 'L'</em>, <em>uplo = 'L'</em>, <em>transA = 'N'</em>, <em>diag = 'N'</em>, <em>alpha = 1.0</em><span class="optional">]</span><big>)</big><a class="headerlink" href="#cvxopt.blas.trmm" title="Permalink to this definition">¶</a></dt> |
| 4138 | +<dd><p>Product of a triangular matrix <img class="math" src="_images/math/019e9892786e493964e145e7c5cf7b700314e53b.png" alt="A"/> and a general matrix <img class="math" src="_images/math/ff5fb3d775862e2123b007eb4373ff6cc1a34d4e.png" alt="B"/>:</p> |
| 4139 | +<div class="math"> |
| 4140 | +<p><img src="_images/math/695db815f33ead3599bc6fec853a3eb11e540537.png" alt="\newcommand{\op}{\mathop{\mathrm{op}}} |
| 4141 | +\begin{split} |
| 4142 | +B & := \alpha\op(A)B \quad (\mathrm{side} = \mathrm{'L'}), \\ |
| 4143 | +B & := \alpha B\op(A) \quad (\mathrm{side} = \mathrm{'R'}) |
| 4144 | +\end{split}" /></p> |
| 4145 | +</div><p>where</p> |
| 4146 | +<div class="math"> |
| 4147 | +<p><img src="_images/math/8546ca19769179ea1a2b09343f28b2329052a2c8.png" alt="\newcommand{\op}{\mathop{\mathrm{op}}} |
| 4148 | +\op(A) = \left\{ \begin{array}{ll} |
| 4149 | + A & \mathrm{transA} = \mathrm{'N'} \\ |
| 4150 | + A^T & \mathrm{transA} = \mathrm{'T'} \\ |
| 4151 | + A^H & \mathrm{transA} = \mathrm{'C'}. \end{array} \right." /></p> |
| 4152 | +</div><p>The arguments <tt class="docutils literal"><span class="pre">A</span></tt> and <tt class="docutils literal"><span class="pre">B</span></tt> must have the same type (<tt class="xref py py-const docutils literal"><span class="pre">'d'</span></tt> or |
| 4153 | +<tt class="xref py py-const docutils literal"><span class="pre">'z'</span></tt>). Complex values of <tt class="docutils literal"><span class="pre">alpha</span></tt> are only allowed if <tt class="docutils literal"><span class="pre">A</span></tt> |
| 4154 | +is complex.</p> |
| 4155 | +</dd></dl> |
| 4156 | + |
| 4157 | +<dl class="function"> |
| 4158 | +<dt id="cvxopt.blas.trsm"> |
| 4159 | +<tt class="descclassname">cvxopt.blas.</tt><tt class="descname">trsm</tt><big>(</big><em>A</em>, <em>B</em><span class="optional">[</span>, <em>side = 'L'</em>, <em>uplo = 'L'</em>, <em>transA = 'N'</em>, <em>diag = 'N'</em>, <em>alpha = 1.0</em><span class="optional">]</span><big>)</big><a class="headerlink" href="#cvxopt.blas.trsm" title="Permalink to this definition">¶</a></dt> |
| 4160 | +<dd><p>Solution of a nonsingular triangular system of equations:</p> |
| 4161 | +<div class="math"> |
| 4162 | +<p><img src="_images/math/f3a22d01b8bc69ba4c61c8228fd70aa5579f6f43.png" alt="\newcommand{\op}{\mathop{\mathrm{op}}} |
| 4163 | +\begin{split} |
| 4164 | +B & := \alpha \op(A)^{-1}B \quad (\mathrm{side} = \mathrm{'L'}), \\ |
| 4165 | +B & := \alpha B\op(A)^{-1} \quad (\mathrm{side} = \mathrm{'R'}), |
| 4166 | +\end{split}" /></p> |
| 4167 | +</div><p>where</p> |
| 4168 | +<div class="math"> |
| 4169 | +<p><img src="_images/math/8eca721b4bae76ad5931d7308ced32d4c72d258d.png" alt="\newcommand{\op}{\mathop{\mathrm{op}}} |
| 4170 | +\op(A) = \left\{ \begin{array}{ll} |
| 4171 | + A & \mathrm{transA} = \mathrm{'N'} \\ |
| 4172 | + A^T & \mathrm{transA} = \mathrm{'T'} \\ |
| 4173 | + A^H & \mathrm{transA} = \mathrm{'C'}, \end{array} \right." /></p> |
| 4174 | +</div><p><img class="math" src="_images/math/019e9892786e493964e145e7c5cf7b700314e53b.png" alt="A"/> is triangular and <img class="math" src="_images/math/ff5fb3d775862e2123b007eb4373ff6cc1a34d4e.png" alt="B"/> is a general matrix. The |
| 4175 | +arguments <tt class="docutils literal"><span class="pre">A</span></tt> and <tt class="docutils literal"><span class="pre">B</span></tt> must have the same type (<tt class="xref py py-const docutils literal"><span class="pre">'d'</span></tt> or |
| 4176 | +<tt class="xref py py-const docutils literal"><span class="pre">'z'</span></tt>). Complex values of <tt class="docutils literal"><span class="pre">alpha</span></tt> are only allowed if <tt class="docutils literal"><span class="pre">A</span></tt> |
| 4177 | +is complex.</p> |
| 4178 | +</dd></dl> |
| 4179 | + |
| 4180 | +<dl class="function"> |
| 4181 | +<dt id="cvxopt.blas.syrk"> |
| 4182 | +<tt class="descclassname">cvxopt.blas.</tt><tt class="descname">syrk</tt><big>(</big><em>A</em>, <em>C</em><span class="optional">[</span>, <em>uplo = 'L'</em>, <em>trans = 'N'</em>, <em>alpha = 1.0</em>, <em>beta = 0.0</em><span class="optional">]</span><big>)</big><a class="headerlink" href="#cvxopt.blas.syrk" title="Permalink to this definition">¶</a></dt> |
| 4183 | +<dd><p>Rank-<img class="math" src="_images/math/8c325612684d41304b9751c175df7bcc0f61f64f.png" alt="k"/> update of a real or complex symmetric matrix <img class="math" src="_images/math/c3355896da590fc491a10150a50416687626d7cc.png" alt="C"/>:</p> |
| 4184 | +<div class="math"> |
| 4185 | +<p><img src="_images/math/6a09e3e0c4b107e714bab1fdaf94303d5ea63905.png" alt="C & := \alpha AA^T + \beta C \quad |
| 4186 | + (\mathrm{trans} = \mathrm{'N'}), \\ |
| 4187 | +C & := \alpha A^TA + \beta C \quad |
| 4188 | + (\mathrm{trans} = \mathrm{'T'})," /></p> |
| 4189 | +</div><p>where <img class="math" src="_images/math/019e9892786e493964e145e7c5cf7b700314e53b.png" alt="A"/> is a general matrix. The arguments <tt class="docutils literal"><span class="pre">A</span></tt> and <tt class="docutils literal"><span class="pre">C</span></tt> |
| 4190 | +must have the same type (<tt class="xref py py-const docutils literal"><span class="pre">'d'</span></tt> or <tt class="xref py py-const docutils literal"><span class="pre">'z'</span></tt>). Complex values |
| 4191 | +of <tt class="docutils literal"><span class="pre">alpha</span></tt> and <tt class="docutils literal"><span class="pre">beta</span></tt> are only allowed if <tt class="docutils literal"><span class="pre">A</span></tt> is complex.</p> |
| 4192 | +</dd></dl> |
| 4193 | + |
| 4194 | +<dl class="function"> |
| 4195 | +<dt id="cvxopt.blas.herk"> |
| 4196 | +<tt class="descclassname">cvxopt.blas.</tt><tt class="descname">herk</tt><big>(</big><em>A</em>, <em>C</em><span class="optional">[</span>, <em>uplo = 'L'</em>, <em>trans = 'N'</em>, <em>alpha = 1.0</em>, <em>beta = 0.0</em><span class="optional">]</span><big>)</big><a class="headerlink" href="#cvxopt.blas.herk" title="Permalink to this definition">¶</a></dt> |
| 4197 | +<dd><p>Rank-<img class="math" src="_images/math/8c325612684d41304b9751c175df7bcc0f61f64f.png" alt="k"/> update of a real symmetric or complex Hermitian matrix |
| 4198 | +<img class="math" src="_images/math/c3355896da590fc491a10150a50416687626d7cc.png" alt="C"/>:</p> |
| 4199 | +<div class="math"> |
| 4200 | +<p><img src="_images/math/b6a3fce6771deb11df3b1a91787c94bb4cc59b6b.png" alt="C & := \alpha AA^H + \beta C \quad |
| 4201 | + (\mathrm{trans} = \mathrm{'N'}), \\ |
| 4202 | +C & := \alpha A^HA + \beta C \quad |
| 4203 | + (\mathrm{trans} = \mathrm{'C'})," /></p> |
| 4204 | +</div><p>where <img class="math" src="_images/math/019e9892786e493964e145e7c5cf7b700314e53b.png" alt="A"/> is a general matrix. The arguments <tt class="docutils literal"><span class="pre">A</span></tt> and <tt class="docutils literal"><span class="pre">C</span></tt> |
| 4205 | +must have the same type (<tt class="xref py py-const docutils literal"><span class="pre">'d'</span></tt> or <tt class="xref py py-const docutils literal"><span class="pre">'z'</span></tt>). <tt class="docutils literal"><span class="pre">alpha</span></tt> and |
| 4206 | +<tt class="docutils literal"><span class="pre">beta</span></tt> must be real.</p> |
| 4207 | +</dd></dl> |
| 4208 | + |
| 4209 | +<dl class="function"> |
| 4210 | +<dt id="cvxopt.blas.syr2k"> |
| 4211 | +<tt class="descclassname">cvxopt.blas.</tt><tt class="descname">syr2k</tt><big>(</big><em>A</em>, <em>B</em>, <em>C</em><span class="optional">[</span>, <em>uplo = 'L'</em>, <em>trans = 'N'</em>, <em>alpha = 1.0</em>, <em>beta = 0.0</em><span class="optional">]</span><big>)</big><a class="headerlink" href="#cvxopt.blas.syr2k" title="Permalink to this definition">¶</a></dt> |
| 4212 | +<dd><p>Rank-<img class="math" src="_images/math/b8ea7ee8a282949fd853a01537ec7a2b55e56f75.png" alt="2k"/> update of a real or complex symmetric matrix <img class="math" src="_images/math/c3355896da590fc491a10150a50416687626d7cc.png" alt="C"/>:</p> |
| 4213 | +<div class="math"> |
| 4214 | +<p><img src="_images/math/10f1c810b7aea1fee7dd21cd0de10161957cf7e8.png" alt="C & := \alpha (AB^T + BA^T) + \beta C \quad |
| 4215 | + (\mathrm{trans} = \mathrm{'N'}), \\ |
| 4216 | +C & := \alpha (A^TB + B^TA) + \beta C \quad |
| 4217 | + (\mathrm{trans} = \mathrm{'T'})." /></p> |
| 4218 | +</div><p><img class="math" src="_images/math/019e9892786e493964e145e7c5cf7b700314e53b.png" alt="A"/> and <img class="math" src="_images/math/ff5fb3d775862e2123b007eb4373ff6cc1a34d4e.png" alt="B"/> are general real or complex matrices. The |
| 4219 | +arguments <tt class="docutils literal"><span class="pre">A</span></tt>, <tt class="docutils literal"><span class="pre">B</span></tt>, and <tt class="docutils literal"><span class="pre">C</span></tt> must have the same type. Complex |
| 4220 | +values of <tt class="docutils literal"><span class="pre">alpha</span></tt> and <tt class="docutils literal"><span class="pre">beta</span></tt> are only allowed if <tt class="docutils literal"><span class="pre">A</span></tt> is complex.</p> |
| 4221 | +</dd></dl> |
| 4222 | + |
| 4223 | +<dl class="function"> |
| 4224 | +<dt id="cvxopt.blas.her2k"> |
| 4225 | +<tt class="descclassname">cvxopt.blas.</tt><tt class="descname">her2k</tt><big>(</big><em>A</em>, <em>B</em>, <em>C</em><span class="optional">[</span>, <em>uplo = 'L'</em>, <em>trans = 'N'</em>, <em>alpha = 1.0</em>, <em>beta = 0.0</em><span class="optional">]</span><big>)</big><a class="headerlink" href="#cvxopt.blas.her2k" title="Permalink to this definition">¶</a></dt> |
| 4226 | +<dd><p>Rank-<img class="math" src="_images/math/b8ea7ee8a282949fd853a01537ec7a2b55e56f75.png" alt="2k"/> update of a real symmetric or complex Hermitian matrix |
| 4227 | +<img class="math" src="_images/math/c3355896da590fc491a10150a50416687626d7cc.png" alt="C"/>:</p> |
| 4228 | +<div class="math"> |
| 4229 | +<p><img src="_images/math/cfe6974cf103f98bc985a9c34598a50b100a6c6b.png" alt="C & := \alpha AB^H + \bar \alpha BA^H + \beta C \quad |
| 4230 | + (\mathrm{trans} = \mathrm{'N'}), \\ |
| 4231 | +C & := \alpha A^HB + \bar\alpha B^HA + \beta C \quad |
| 4232 | + (\mathrm{trans} = \mathrm{'C'})," /></p> |
| 4233 | +</div><p>where <img class="math" src="_images/math/019e9892786e493964e145e7c5cf7b700314e53b.png" alt="A"/> and <img class="math" src="_images/math/ff5fb3d775862e2123b007eb4373ff6cc1a34d4e.png" alt="B"/> are general matrices. The arguments |
| 4234 | +<tt class="docutils literal"><span class="pre">A</span></tt>, <tt class="docutils literal"><span class="pre">B</span></tt>, and <tt class="docutils literal"><span class="pre">C</span></tt> must have the same type (<tt class="xref py py-const docutils literal"><span class="pre">'d'</span></tt> or |
| 4235 | +<tt class="xref py py-const docutils literal"><span class="pre">'z'</span></tt>). Complex values of <tt class="docutils literal"><span class="pre">alpha</span></tt> are only allowed if <tt class="docutils literal"><span class="pre">A</span></tt> |
| 4236 | +is complex. <tt class="docutils literal"><span class="pre">beta</span></tt> must be real.</p> |
| 4237 | +</dd></dl> |
| 4238 | + |
| 4239 | +</div> |
| 4240 | +</div> |
| 4241 | + |
| 4242 | + |
| 4243 | + </div> |
| 4244 | + </div> |
| 4245 | + </div> |
| 4246 | + <div class="sphinxsidebar"> |
| 4247 | + <div class="sphinxsidebarwrapper"> |
| 4248 | + <h3><a href="index.html">Table Of Contents</a></h3> |
| 4249 | + <ul> |
| 4250 | +<li><a class="reference internal" href="#">The BLAS Interface</a><ul> |
| 4251 | +<li><a class="reference internal" href="#matrix-classes">Matrix Classes</a></li> |
| 4252 | +<li><a class="reference internal" href="#level-1-blas">Level 1 BLAS</a></li> |
| 4253 | +<li><a class="reference internal" href="#level-2-blas">Level 2 BLAS</a></li> |
| 4254 | +<li><a class="reference internal" href="#level-3-blas">Level 3 BLAS</a></li> |
| 4255 | +</ul> |
| 4256 | +</li> |
| 4257 | +</ul> |
| 4258 | + |
| 4259 | + <h4>Previous topic</h4> |
| 4260 | + <p class="topless"><a href="matrices.html" |
| 4261 | + title="previous chapter">Dense and Sparse Matrices</a></p> |
| 4262 | + <h4>Next topic</h4> |
| 4263 | + <p class="topless"><a href="lapack.html" |
| 4264 | + title="next chapter">The LAPACK Interface</a></p> |
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| 4274 | + Enter search terms or a module, class or function name. |
| 4275 | + </p> |
| 4276 | +</div> |
| 4277 | +<script type="text/javascript">$('#searchbox').show(0);</script> |
| 4278 | + </div> |
| 4279 | + </div> |
| 4280 | + <div class="clearer"></div> |
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| 4283 | + <h3>Navigation</h3> |
| 4284 | + <ul> |
| 4285 | + <li class="right" style="margin-right: 10px"> |
| 4286 | + <a href="lapack.html" title="The LAPACK Interface" |
| 4287 | + >next</a></li> |
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| 4290 | + >previous</a> |</li> |
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| 4302 | \ No newline at end of file |
| 4303 | |
| 4304 | === added file 'doc/build/html/c-api.html' |
| 4305 | --- doc/build/html/c-api.html 1970-01-01 00:00:00 +0000 |
| 4306 | +++ doc/build/html/c-api.html 2010-12-10 13:03:35 +0000 |
| 4307 | @@ -0,0 +1,306 @@ |
| 4308 | + |
| 4309 | + |
| 4310 | +<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Transitional//EN" |
| 4311 | + "http://www.w3.org/TR/xhtml1/DTD/xhtml1-transitional.dtd"> |
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| 4325 | + FILE_SUFFIX: '.html', |
| 4326 | + HAS_SOURCE: false |
| 4327 | + }; |
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| 4350 | + |
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| 4353 | + |
| 4354 | + <div class="document"> |
| 4355 | + <div class="documentwrapper"> |
| 4356 | + <div class="bodywrapper"> |
| 4357 | + <div class="body"> |
| 4358 | + |
| 4359 | + <div class="section" id="c-api"> |
| 4360 | +<span id="c-capi"></span><h1>C API<a class="headerlink" href="#c-api" title="Permalink to this headline">¶</a></h1> |
| 4361 | +<p>The API can be used to extend CVXOPT with interfaces to external C routines |
| 4362 | +and libraries. A C program that creates or manipulates the dense or sparse |
| 4363 | +matrix objects defined in CVXOPT must include the <tt class="xref py py-const docutils literal"><span class="pre">cvxopt.h</span></tt> header |
| 4364 | +file in the <tt class="xref py py-const docutils literal"><span class="pre">src</span></tt> directory of the distribution.</p> |
| 4365 | +<p>Before the C API can be used in an extension module it must be initialized |
| 4366 | +by calling the macro <tt class="xref c c-macro docutils literal"><span class="pre">import_cvxopt</span></tt>. As an example we show the |
| 4367 | +module initialization from the <tt class="xref py py-mod docutils literal"><span class="pre">cvxopt.blas</span></tt> module, which itself uses |
| 4368 | +the API:</p> |
| 4369 | +<div class="highlight-c"><div class="highlight"><pre><span class="n">PyMODINIT_FUNC</span> <span class="nf">initblas</span><span class="p">(</span><span class="kt">void</span><span class="p">)</span> |
| 4370 | +<span class="p">{</span> |
| 4371 | + <span class="n">PyObject</span> <span class="o">*</span><span class="n">m</span><span class="p">;</span> |
| 4372 | + |
| 4373 | + <span class="n">m</span> <span class="o">=</span> <span class="n">Py_InitModule3</span><span class="p">(</span><span class="s">"cvxopt.blas"</span><span class="p">,</span> <span class="n">blas_functions</span><span class="p">,</span> <span class="n">blas__doc__</span><span class="p">);</span> |
| 4374 | + |
| 4375 | + <span class="k">if</span> <span class="p">(</span><span class="n">import_cvxopt</span><span class="p">()</span> <span class="o"><</span> <span class="mi">0</span><span class="p">)</span> |
| 4376 | + <span class="k">return</span><span class="p">;</span> |
| 4377 | +<span class="p">}</span> |
| 4378 | +</pre></div> |
| 4379 | +</div> |
| 4380 | +<div class="section" id="dense-matrices"> |
| 4381 | +<h2>Dense Matrices<a class="headerlink" href="#dense-matrices" title="Permalink to this headline">¶</a></h2> |
| 4382 | +<p>As can be seen from the header file <tt class="xref py py-const docutils literal"><span class="pre">cvxopt.h</span></tt>, a <tt class="xref py py-class docutils literal"><span class="pre">matrix</span></tt> is |
| 4383 | +essentially a structure with four fields. The fields <tt class="xref c c-member docutils literal"><span class="pre">nrows</span></tt> and |
| 4384 | +<tt class="xref c c-member docutils literal"><span class="pre">ncols</span></tt> are two integers that specify the dimensions. The |
| 4385 | +<tt class="xref c c-member docutils literal"><span class="pre">id</span></tt> field controls the type of the matrix and can have values |
| 4386 | +<tt class="xref py py-const docutils literal"><span class="pre">DOUBLE</span></tt>, <tt class="xref py py-const docutils literal"><span class="pre">INT</span></tt>, and <tt class="xref py py-const docutils literal"><span class="pre">COMPLEX</span></tt>. The <tt class="xref c c-member docutils literal"><span class="pre">buffer</span></tt> |
| 4387 | +field is an array that contains the matrix elements stored contiguously in |
| 4388 | +column-major order.</p> |
| 4389 | +<p>The following C functions can be used to create matrices.</p> |
| 4390 | +<dl class="function"> |
| 4391 | +<dt id="Matrix_New"> |
| 4392 | +matrix * <tt class="descname">Matrix_New</tt><big>(</big>int<em> nrows</em>, int<em> ncols</em>, int<em> id</em><big>)</big><a class="headerlink" href="#Matrix_New" title="Permalink to this definition">¶</a></dt> |
| 4393 | +<dd><p>Returns a <tt class="xref py py-class docutils literal"><span class="pre">matrix</span></tt> object of type <cite>id</cite> with <cite>nrows</cite> rows and |
| 4394 | +<cite>ncols</cite> columns. The elements of the matrix are uninitialized.</p> |
| 4395 | +</dd></dl> |
| 4396 | + |
| 4397 | +<dl class="function"> |
| 4398 | +<dt id="Matrix_NewFromMatrix"> |
| 4399 | +matrix * <tt class="descname">Matrix_NewFromMatrix</tt><big>(</big>matrix<em> *src</em>, int<em> id</em><big>)</big><a class="headerlink" href="#Matrix_NewFromMatrix" title="Permalink to this definition">¶</a></dt> |
| 4400 | +<dd><p>Returns a copy of the matrix <cite>src</cite> converted to type <cite>id</cite>. The |
| 4401 | +following type conversions are allowed: <tt class="xref py py-const docutils literal"><span class="pre">'i'</span></tt> to <tt class="xref py py-const docutils literal"><span class="pre">'d'</span></tt>, |
| 4402 | +<tt class="xref py py-const docutils literal"><span class="pre">'i'</span></tt> to <tt class="xref py py-const docutils literal"><span class="pre">'z'</span></tt>, and <tt class="xref py py-const docutils literal"><span class="pre">'d'</span></tt> to <tt class="xref py py-const docutils literal"><span class="pre">'z'</span></tt>.</p> |
| 4403 | +</dd></dl> |
| 4404 | + |
| 4405 | +<dl class="function"> |
| 4406 | +<dt id="Matrix_NewFromSequence"> |
| 4407 | +matrix * <tt class="descname">Matrix_NewFromSequence</tt><big>(</big>PyListObject<em> *x</em>, int<em> id</em><big>)</big><a class="headerlink" href="#Matrix_NewFromSequence" title="Permalink to this definition">¶</a></dt> |
| 4408 | +<dd><p>Creates a matrix of type <cite>id</cite> from the Python sequence type <cite>x</cite>. The |
| 4409 | +returned matrix has size <tt class="docutils literal"><span class="pre">(len(x),</span> <span class="pre">1)</span></tt>. The size can be changed |
| 4410 | +by modifying the <tt class="xref c c-member docutils literal"><span class="pre">nrows</span></tt> and <tt class="xref c c-member docutils literal"><span class="pre">ncols</span></tt> fields of the |
| 4411 | +returned matrix.</p> |
| 4412 | +</dd></dl> |
| 4413 | + |
| 4414 | +<p>To illustrate the creation and manipulation of dense matrices (as well as |
| 4415 | +the Python C API), we show the code for the <a class="reference internal" href="matrices.html#cvxopt.uniform" title="cvxopt.uniform"><tt class="xref py py-func docutils literal"><span class="pre">cvxopt.uniform</span></tt></a> function |
| 4416 | +described in the section <a class="reference internal" href="matrices.html#s-random"><em>Randomly Generated Matrices</em></a>.</p> |
| 4417 | +<div class="highlight-c"><div class="highlight"><pre><span class="n">PyObject</span> <span class="o">*</span> <span class="nf">uniform</span><span class="p">(</span><span class="n">PyObject</span> <span class="o">*</span><span class="n">self</span><span class="p">,</span> <span class="n">PyObject</span> <span class="o">*</span><span class="n">args</span><span class="p">,</span> <span class="n">PyObject</span> <span class="o">*</span><span class="n">kwrds</span><span class="p">)</span> |
| 4418 | +<span class="p">{</span> |
| 4419 | + <span class="n">matrix</span> <span class="o">*</span><span class="n">obj</span><span class="p">;</span> |
| 4420 | + <span class="kt">int</span> <span class="n">i</span><span class="p">,</span> <span class="n">nrows</span><span class="p">,</span> <span class="n">ncols</span> <span class="o">=</span> <span class="mi">1</span><span class="p">;</span> |
| 4421 | + <span class="kt">double</span> <span class="n">a</span> <span class="o">=</span> <span class="mi">0</span><span class="p">,</span> <span class="n">b</span> <span class="o">=</span> <span class="mi">1</span><span class="p">;</span> |
| 4422 | + <span class="kt">char</span> <span class="o">*</span><span class="n">kwlist</span><span class="p">[]</span> <span class="o">=</span> <span class="p">{</span><span class="s">"nrows"</span><span class="p">,</span> <span class="s">"ncols"</span><span class="p">,</span> <span class="s">"a"</span><span class="p">,</span> <span class="s">"b"</span><span class="p">,</span> <span class="nb">NULL</span><span class="p">};</span> |
| 4423 | + |
| 4424 | + <span class="k">if</span> <span class="p">(</span><span class="o">!</span><span class="n">PyArg_ParseTupleAndKeywords</span><span class="p">(</span><span class="n">args</span><span class="p">,</span> <span class="n">kwrds</span><span class="p">,</span> <span class="s">"i|idd"</span><span class="p">,</span> <span class="n">kwlist</span><span class="p">,</span> |
| 4425 | + <span class="o">&</span><span class="n">nrows</span><span class="p">,</span> <span class="o">&</span><span class="n">ncols</span><span class="p">,</span> <span class="o">&</span><span class="n">a</span><span class="p">,</span> <span class="o">&</span><span class="n">b</span><span class="p">))</span> <span class="k">return</span> <span class="nb">NULL</span><span class="p">;</span> |
| 4426 | + |
| 4427 | + <span class="k">if</span> <span class="p">((</span><span class="n">nrows</span><span class="o"><</span><span class="mi">0</span><span class="p">)</span> <span class="o">||</span> <span class="p">(</span><span class="n">ncols</span><span class="o"><</span><span class="mi">0</span><span class="p">))</span> <span class="p">{</span> |
| 4428 | + <span class="n">PyErr_SetString</span><span class="p">(</span><span class="n">PyExc_TypeError</span><span class="p">,</span> <span class="s">"dimensions must be non-negative"</span><span class="p">);</span> |
| 4429 | + <span class="k">return</span> <span class="nb">NULL</span><span class="p">;</span> |
| 4430 | + <span class="p">}</span> |
| 4431 | + |
| 4432 | + <span class="k">if</span> <span class="p">(</span><span class="o">!</span><span class="p">(</span><span class="n">obj</span> <span class="o">=</span> <span class="n">Matrix_New</span><span class="p">(</span><span class="n">nrows</span><span class="p">,</span> <span class="n">ncols</span><span class="p">,</span> <span class="n">DOUBLE</span><span class="p">)))</span> |
| 4433 | + <span class="k">return</span> <span class="n">PyErr_NoMemory</span><span class="p">();</span> |
| 4434 | + |
| 4435 | + <span class="k">for</span> <span class="p">(</span><span class="n">i</span> <span class="o">=</span> <span class="mi">0</span><span class="p">;</span> <span class="n">i</span> <span class="o"><</span> <span class="n">nrows</span><span class="o">*</span><span class="n">ncols</span><span class="p">;</span> <span class="n">i</span><span class="o">++</span><span class="p">)</span> |
| 4436 | + <span class="n">MAT_BUFD</span><span class="p">(</span><span class="n">obj</span><span class="p">)[</span><span class="n">i</span><span class="p">]</span> <span class="o">=</span> <span class="n">Uniform</span><span class="p">(</span><span class="n">a</span><span class="p">,</span><span class="n">b</span><span class="p">);</span> |
| 4437 | + |
| 4438 | + <span class="k">return</span> <span class="p">(</span><span class="n">PyObject</span> <span class="o">*</span><span class="p">)</span><span class="n">obj</span><span class="p">;</span> |
| 4439 | +<span class="p">}</span> |
| 4440 | +</pre></div> |
| 4441 | +</div> |
| 4442 | +</div> |
| 4443 | +<div class="section" id="sparse-matrices"> |
| 4444 | +<h2>Sparse Matrices<a class="headerlink" href="#sparse-matrices" title="Permalink to this headline">¶</a></h2> |
| 4445 | +<p>Sparse matrices are stored in compressed column storage (CCS) format. For |
| 4446 | +a general <cite>nrows</cite> by <cite>ncols</cite> sparse matrix with <cite>nnz</cite> nonzero entries this |
| 4447 | +means the following. The sparsity pattern and the nonzero values are |
| 4448 | +stored in three fields:</p> |
| 4449 | +<dl class="docutils"> |
| 4450 | +<dt><tt class="xref c c-member docutils literal"><span class="pre">values</span></tt></dt> |
| 4451 | +<dd>A <tt class="xref py py-const docutils literal"><span class="pre">'d'</span></tt> or <tt class="xref py py-const docutils literal"><span class="pre">'z'</span></tt> matrix of size <tt class="docutils literal"><span class="pre">(nnz,1)</span></tt> with the |
| 4452 | +nonzero entries of the matrix stored columnwise.</dd> |
| 4453 | +<dt><tt class="xref c c-member docutils literal"><span class="pre">rowind</span></tt></dt> |
| 4454 | +<dd>An array of integers of length <cite>nnz</cite> containing the row indices of |
| 4455 | +the nonzero entries, stored in the same order as <tt class="xref c c-member docutils literal"><span class="pre">values</span></tt>.</dd> |
| 4456 | +<dt><tt class="xref c c-member docutils literal"><span class="pre">colptr</span></tt></dt> |
| 4457 | +<dd>An array of integers of length <cite>ncols</cite> + 1 with for each column of the |
| 4458 | +matrix the index of the first element in <tt class="xref c c-member docutils literal"><span class="pre">values</span></tt> from that |
| 4459 | +column. More precisely, <tt class="docutils literal"><span class="pre">colptr[0]</span></tt> is <tt class="xref py py-const docutils literal"><span class="pre">0</span></tt>, and for |
| 4460 | +k = 0, 1, ..., <cite>ncols</cite> - 1, <tt class="docutils literal"><span class="pre">colptr[k+1]</span></tt> is equal to |
| 4461 | +<tt class="docutils literal"><span class="pre">colptr[k]</span></tt> plus the number of nonzeros in column <cite>k</cite> of the |
| 4462 | +matrix. Thus, <tt class="docutils literal"><span class="pre">colptr[ncols]</span></tt> is equal to <cite>nnz</cite>, the number of |
| 4463 | +nonzero entries.</dd> |
| 4464 | +</dl> |
| 4465 | +<p>For example, for the matrix</p> |
| 4466 | +<div class="math"> |
| 4467 | +<p><img src="_images/math/f4cc3b4324f3f4bb12a7db934c2c5c5acc98fe66.png" alt="A=\left [\begin{array}{cccc} |
| 4468 | + 1 & 0 & 0 & 5\\ |
| 4469 | + 2 & 0 & 4 & 0\\ |
| 4470 | + 0 & 0 & 0 & 6\\ |
| 4471 | + 3 & 0 & 0 & 0 |
| 4472 | +\end{array}\right]" /></p> |
| 4473 | +</div><p>the elements of <tt class="xref c c-member docutils literal"><span class="pre">values</span></tt>, <tt class="xref c c-member docutils literal"><span class="pre">rowind</span></tt>, and <tt class="xref c c-member docutils literal"><span class="pre">colptr</span></tt> |
| 4474 | +are:</p> |
| 4475 | +<dl class="docutils"> |
| 4476 | +<dt><tt class="xref c c-member docutils literal"><span class="pre">values</span></tt>:</dt> |
| 4477 | +<dd>1.0, 2.0, 3.0, 4.0, 5.0, 6.0</dd> |
| 4478 | +<dt><tt class="xref c c-member docutils literal"><span class="pre">rowind</span></tt>:</dt> |
| 4479 | +<dd>0, 1,3, 1, 0, 2</dd> |
| 4480 | +<dt><tt class="xref c c-member docutils literal"><span class="pre">colptr</span></tt>:</dt> |
| 4481 | +<dd>0, 3, 3, 4, 6.</dd> |
| 4482 | +</dl> |
| 4483 | +<p>It is crucial that for each column the row indices in <tt class="xref c c-member docutils literal"><span class="pre">rowind</span></tt> are |
| 4484 | +sorted; the equivalent representation</p> |
| 4485 | +<dl class="docutils"> |
| 4486 | +<dt><tt class="xref c c-member docutils literal"><span class="pre">values</span></tt>:</dt> |
| 4487 | +<dd>3.0, 2.0, 1.0, 4.0, 5.0, 6.0</dd> |
| 4488 | +<dt><tt class="xref c c-member docutils literal"><span class="pre">rowind</span></tt>:</dt> |
| 4489 | +<dd>3, 1, 0, 1, 0, 2</dd> |
| 4490 | +<dt><tt class="xref c c-member docutils literal"><span class="pre">colptr</span></tt>:</dt> |
| 4491 | +<dd>0, 3, 3, 4, 6</dd> |
| 4492 | +</dl> |
| 4493 | +<p>is not allowed (and will likely cause the program to crash).</p> |
| 4494 | +<p>The <tt class="xref c c-member docutils literal"><span class="pre">nzmax</span></tt> field specifies the number of non-zero elements the |
| 4495 | +matrix can store. It is equal to the length of <tt class="xref c c-member docutils literal"><span class="pre">rowind</span></tt> and |
| 4496 | +<tt class="xref c c-member docutils literal"><span class="pre">values</span></tt>; this number can be larger that <tt class="docutils literal"><span class="pre">colptr[nrows]</span></tt>, |
| 4497 | +but never less. This field makes it possible to preallocate a certain |
| 4498 | +amount of memory to avoid reallocations if the matrix is constructed |
| 4499 | +sequentially by filling in elements. In general the <tt class="xref c c-member docutils literal"><span class="pre">nzmax</span></tt> field |
| 4500 | +can safely be ignored, however, since it will always be adjusted |
| 4501 | +automatically as the number of non-zero elements grows.</p> |
| 4502 | +<p>The <tt class="xref c c-member docutils literal"><span class="pre">id</span></tt> field controls the type of the matrix and can have |
| 4503 | +values <tt class="xref py py-const docutils literal"><span class="pre">DOUBLE</span></tt> and <tt class="xref py py-const docutils literal"><span class="pre">COMPLEX</span></tt>.</p> |
| 4504 | +<p>Sparse matrices are created using the following functions from the API.</p> |
| 4505 | +<dl class="function"> |
| 4506 | +<dt id="SpMatrix_New"> |
| 4507 | +spmatrix * <tt class="descname">SpMatrix_New</tt><big>(</big>int<em> nrows</em>, int<em> ncols</em>, int<em> nzmax</em>, int<em> id</em><big>)</big><a class="headerlink" href="#SpMatrix_New" title="Permalink to this definition">¶</a></dt> |
| 4508 | +<dd><p>Returns a sparse zero matrix with <cite>nrows</cite> rows and <cite>ncols</cite> columns. |
| 4509 | +<cite>nzmax</cite> is the number of elements that will be allocated (the length of |
| 4510 | +the <tt class="xref c c-member docutils literal"><span class="pre">values</span></tt> and <tt class="xref c c-member docutils literal"><span class="pre">rowind</span></tt> fields).</p> |
| 4511 | +</dd></dl> |
| 4512 | + |
| 4513 | +<dl class="function"> |
| 4514 | +<dt id="SpMatrix_NewFromMatrix"> |
| 4515 | +spmatrix * <tt class="descname">SpMatrix_NewFromMatrix</tt><big>(</big>spmatrix<em> *src</em>, int<em> id</em><big>)</big><a class="headerlink" href="#SpMatrix_NewFromMatrix" title="Permalink to this definition">¶</a></dt> |
| 4516 | +<dd><p>Returns a copy the sparse matrix var{src}.</p> |
| 4517 | +</dd></dl> |
| 4518 | + |
| 4519 | +<dl class="function"> |
| 4520 | +<dt id="SpMatrix_NewFromIJV"> |
| 4521 | +spmatrix * <tt class="descname">SpMatrix_NewFromIJV</tt><big>(</big>matrix<em> *I</em>, matrix<em> *J</em>, matrix<em> *V</em>, int<em> nrows</em>, int<em> ncols</em>, int<em> nzmax</em>, int<em> id</em><big>)</big><a class="headerlink" href="#SpMatrix_NewFromIJV" title="Permalink to this definition">¶</a></dt> |
| 4522 | +<dd><p>Creates a sparse matrix with <cite>nrows</cite> rows and <cite>ncols</cite> columns from a |
| 4523 | +triplet description. <cite>I</cite> and <cite>J</cite> must be integer matrices and <cite>V</cite> |
| 4524 | +either a double or complex matrix, or <tt class="xref py py-const docutils literal"><span class="pre">NULL</span></tt>. If <cite>V</cite> is |
| 4525 | +<tt class="xref py py-const docutils literal"><span class="pre">NULL</span></tt> the values of the entries in the matrix are undefined, |
| 4526 | +otherwise they are specified by <cite>V</cite>. Repeated entries in <cite>V</cite> are |
| 4527 | +summed. The number of allocated elements is given by <cite>nzmax</cite>, which is |
| 4528 | +adjusted if it is smaller than the required amount.</p> |
| 4529 | +</dd></dl> |
| 4530 | + |
| 4531 | +<p>We illustrate use of the sparse matrix class by listing the source |
| 4532 | +code for the <a class="reference internal" href="matrices.html#real" title="real"><tt class="xref py py-attr docutils literal"><span class="pre">real</span></tt></a> method, which returns the real part of |
| 4533 | +a sparse matrix:</p> |
| 4534 | +<div class="highlight-c"><div class="highlight"><pre><span class="k">static</span> <span class="n">PyObject</span> <span class="o">*</span> <span class="nf">spmatrix_real</span><span class="p">(</span><span class="n">spmatrix</span> <span class="o">*</span><span class="n">self</span><span class="p">)</span> <span class="p">{</span> |
| 4535 | + |
| 4536 | + <span class="k">if</span> <span class="p">(</span><span class="n">SP_ID</span><span class="p">(</span><span class="n">self</span><span class="p">)</span> <span class="o">!=</span> <span class="n">COMPLEX</span><span class="p">)</span> |
| 4537 | + <span class="k">return</span> <span class="p">(</span><span class="n">PyObject</span> <span class="o">*</span><span class="p">)</span><span class="n">SpMatrix_NewFromMatrix</span><span class="p">(</span><span class="n">self</span><span class="p">,</span> <span class="mi">0</span><span class="p">,</span> <span class="n">SP_ID</span><span class="p">(</span><span class="n">self</span><span class="p">));</span> |
| 4538 | + |
| 4539 | + <span class="n">spmatrix</span> <span class="o">*</span><span class="n">ret</span> <span class="o">=</span> <span class="n">SpMatrix_New</span><span class="p">(</span><span class="n">SP_NROWS</span><span class="p">(</span><span class="n">self</span><span class="p">),</span> <span class="n">SP_NCOLS</span><span class="p">(</span><span class="n">self</span><span class="p">),</span> |
| 4540 | + <span class="n">SP_NNZ</span><span class="p">(</span><span class="n">self</span><span class="p">),</span> <span class="n">DOUBLE</span><span class="p">);</span> |
| 4541 | + <span class="k">if</span> <span class="p">(</span><span class="o">!</span><span class="n">ret</span><span class="p">)</span> <span class="k">return</span> <span class="n">PyErr_NoMemory</span><span class="p">();</span> |
| 4542 | + |
| 4543 | + <span class="kt">int</span> <span class="n">i</span><span class="p">;</span> |
| 4544 | + <span class="k">for</span> <span class="p">(</span><span class="n">i</span><span class="o">=</span><span class="mi">0</span><span class="p">;</span> <span class="n">i</span> <span class="o"><</span> <span class="n">SP_NNZ</span><span class="p">(</span><span class="n">self</span><span class="p">);</span> <span class="n">i</span><span class="o">++</span><span class="p">)</span> |
| 4545 | + <span class="n">SP_VALD</span><span class="p">(</span><span class="n">ret</span><span class="p">)[</span><span class="n">i</span><span class="p">]</span> <span class="o">=</span> <span class="n">creal</span><span class="p">(</span><span class="n">SP_VALZ</span><span class="p">(</span><span class="n">self</span><span class="p">)[</span><span class="n">i</span><span class="p">]);</span> |
| 4546 | + |
| 4547 | + <span class="n">memcpy</span><span class="p">(</span><span class="n">SP_COL</span><span class="p">(</span><span class="n">ret</span><span class="p">),</span> <span class="n">SP_COL</span><span class="p">(</span><span class="n">self</span><span class="p">),</span> <span class="p">(</span><span class="n">SP_NCOLS</span><span class="p">(</span><span class="n">self</span><span class="p">)</span><span class="o">+</span><span class="mi">1</span><span class="p">)</span><span class="o">*</span><span class="k">sizeof</span><span class="p">(</span><span class="n">int_t</span><span class="p">));</span> |
| 4548 | + <span class="n">memcpy</span><span class="p">(</span><span class="n">SP_ROW</span><span class="p">(</span><span class="n">ret</span><span class="p">),</span> <span class="n">SP_ROW</span><span class="p">(</span><span class="n">self</span><span class="p">),</span> <span class="n">SP_NNZ</span><span class="p">(</span><span class="n">self</span><span class="p">)</span><span class="o">*</span><span class="k">sizeof</span><span class="p">(</span><span class="n">int_t</span><span class="p">));</span> |
| 4549 | + <span class="k">return</span> <span class="p">(</span><span class="n">PyObject</span> <span class="o">*</span><span class="p">)</span><span class="n">ret</span><span class="p">;</span> |
| 4550 | +<span class="p">}</span> |
| 4551 | +</pre></div> |
| 4552 | +</div> |
| 4553 | +</div> |
| 4554 | +</div> |
| 4555 | + |
| 4556 | + |
| 4557 | + </div> |
| 4558 | + </div> |
| 4559 | + </div> |
| 4560 | + <div class="sphinxsidebar"> |
| 4561 | + <div class="sphinxsidebarwrapper"> |
| 4562 | + <h3><a href="index.html">Table Of Contents</a></h3> |
| 4563 | + <ul> |
| 4564 | +<li><a class="reference internal" href="#">C API</a><ul> |
| 4565 | +<li><a class="reference internal" href="#dense-matrices">Dense Matrices</a></li> |
| 4566 | +<li><a class="reference internal" href="#sparse-matrices">Sparse Matrices</a></li> |
| 4567 | +</ul> |
| 4568 | +</li> |
| 4569 | +</ul> |
| 4570 | + |
| 4571 | + <h4>Previous topic</h4> |
| 4572 | + <p class="topless"><a href="modeling.html" |
| 4573 | + title="previous chapter">Modeling</a></p> |
| 4574 | + <h4>Next topic</h4> |
| 4575 | + <p class="topless"><a href="printing.html" |
| 4576 | + title="next chapter">Matrix Formatting</a></p> |
| 4577 | +<div id="searchbox" style="display: none"> |
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| 4670 | + |
| 4671 | + <div class="section" id="cone-programming"> |
| 4672 | +<span id="c-coneprog"></span><h1>Cone Programming<a class="headerlink" href="#cone-programming" title="Permalink to this headline">¶</a></h1> |
| 4673 | +<p>In this chapter we consider convex optimization problems of the form</p> |
| 4674 | +<div class="math"> |
| 4675 | +<p><img src="_images/math/77b87703b14d3f1b59ac092865ee19b0f85cf188.png" alt="\begin{array}{ll} |
| 4676 | +\mbox{minimize} & (1/2) x^TPx + q^T x \\ |
| 4677 | +\mbox{subject to} & G x \preceq h \\ |
| 4678 | + & Ax = b. |
| 4679 | +\end{array}" /></p> |
| 4680 | +</div><p>The linear inequality is a generalized inequality with respect to a |
| 4681 | +proper convex cone. It may include componentwise vector inequalities, |
| 4682 | +second-order cone inequalities, and linear matrix inequalities.</p> |
| 4683 | +<p>The main solvers are <a class="reference internal" href="#cvxopt.solvers.conelp" title="cvxopt.solvers.conelp"><tt class="xref py py-func docutils literal"><span class="pre">conelp</span></tt></a> and |
| 4684 | +<a class="reference internal" href="#cvxopt.solvers.coneqp" title="cvxopt.solvers.coneqp"><tt class="xref py py-func docutils literal"><span class="pre">coneqp</span></tt></a>, described in the |
| 4685 | +sections <a class="reference internal" href="#s-conelp"><em>Linear Cone Programs</em></a> and <a class="reference internal" href="#s-coneqp"><em>Quadratic Cone Programs</em></a>. The function |
| 4686 | +<tt class="xref py py-func docutils literal"><span class="pre">conelp</span></tt> is restricted to problems with linear cost functions, and |
| 4687 | +can detect primal and dual infeasibility. The function <tt class="xref py py-func docutils literal"><span class="pre">coneqp</span></tt> |
| 4688 | +solves the general quadratic problem, but requires the problem to be |
| 4689 | +strictly primal and dual feasible. For convenience (and backward |
| 4690 | +compatibility), simpler interfaces to these function are also provided |
| 4691 | +that handle pure linear programs, quadratic programs, second-order cone |
| 4692 | +programs, and semidefinite programs. These are described in the sections |
| 4693 | +<a class="reference internal" href="#s-lpsolver"><em>Linear Programming</em></a>, <a class="reference internal" href="#s-qp"><em>Quadratic Programming</em></a>, <a class="reference internal" href="#s-socpsolver"><em>Second-Order Cone Programming</em></a>, <a class="reference internal" href="#s-sdpsolver"><em>Semidefinite Programming</em></a>. |
| 4694 | +In the section <a class="reference internal" href="#s-conelp-struct"><em>Exploiting Structure</em></a> we explain how custom solvers can |
| 4695 | +be implemented that exploit structure in cone programs. The last two |
| 4696 | +sections describe optional interfaces to external solvers, and the |
| 4697 | +algorithm parameters that control the cone programming solvers.</p> |
| 4698 | +<div class="section" id="linear-cone-programs"> |
| 4699 | +<span id="s-conelp"></span><h2>Linear Cone Programs<a class="headerlink" href="#linear-cone-programs" title="Permalink to this headline">¶</a></h2> |
| 4700 | +<dl class="function"> |
| 4701 | +<dt id="cvxopt.solvers.conelp"> |
| 4702 | +<tt class="descclassname">cvxopt.solvers.</tt><tt class="descname">conelp</tt><big>(</big><em>c</em>, <em>G</em>, <em>h</em><span class="optional">[</span>, <em>dims</em><span class="optional">[</span>, <em>A</em>, <em>b</em><span class="optional">[</span>, <em>primalstart</em><span class="optional">[</span>, <em>dualstart</em><span class="optional">[</span>, <em>kktsolver</em><span class="optional">]</span><span class="optional">]</span><span class="optional">]</span><span class="optional">]</span><span class="optional">]</span><big>)</big><a class="headerlink" href="#cvxopt.solvers.conelp" title="Permalink to this definition">¶</a></dt> |
| 4703 | +<dd><p>Solves a pair of primal and dual cone programs</p> |
| 4704 | +<div class="math"> |
| 4705 | +<p><img src="_images/math/1a8d47fe4c6b9295f4c73ecb0181d7cdc2f265bd.png" alt="\begin{array}[t]{ll} |
| 4706 | +\mbox{minimize} & c^T x \\ |
| 4707 | +\mbox{subject to} & G x + s = h \\ |
| 4708 | + & Ax = b \\ |
| 4709 | + & s \succeq 0 |
| 4710 | +\end{array} |
| 4711 | +\qquad\qquad |
| 4712 | +\begin{array}[t]{ll} |
| 4713 | +\mbox{maximize} & -h^T z - b^T y \\ |
| 4714 | +\mbox{subject to} & G^T z + A^T y + c = 0 \\ |
| 4715 | + & z \succeq 0. |
| 4716 | +\end{array}" /></p> |
| 4717 | +</div><p>The primal variables are <img class="math" src="_images/math/26eeb5258ca5099acf8fe96b2a1049c48c89a5e6.png" alt="x"/> and <img class="math" src="_images/math/f37bba504894945c07a32f5496d74299a37aa51c.png" alt="s"/>. The dual variables |
| 4718 | +are <img class="math" src="_images/math/092e364e1d9d19ad5fffb0b46ef4cc7f2da02c1c.png" alt="y"/>, <img class="math" src="_images/math/b13f21416d84e13708696f34dea81026cda583c9.png" alt="z"/>. The inequalities are interpreted as |
| 4719 | +<img class="math" src="_images/math/a0bfc2010a37ca5ee8d8553f74881b8e12ea4bfd.png" alt="s \in C"/>, <img class="math" src="_images/math/d22f3a5882fad95b5a9af193c57e3db91989d676.png" alt="z\in C"/>, where <img class="math" src="_images/math/c3355896da590fc491a10150a50416687626d7cc.png" alt="C"/> is a cone defined as |
| 4720 | +a Cartesian product of a nonnegative orthant, a number of second-order |
| 4721 | +cones, and a number of positive semidefinite cones:</p> |
| 4722 | +<div class="math"> |
| 4723 | +<p><img src="_images/math/975932e25b8d20b8ef19bccfe15bfc80e9960ca2.png" alt="C = C_0 \times C_1 \times \cdots \times C_M \times C_{M+1} \times |
| 4724 | + \cdots \times C_{M+N}" /></p> |
| 4725 | +</div><p>with</p> |
| 4726 | +<div class="math"> |
| 4727 | +<p><img src="_images/math/a34d96670035ec4b9d538485aca155388900d586.png" alt="\newcommand{\reals}{{\mbox{\bf R}}} |
| 4728 | +\newcommand{\svec}{\mathop{\mathbf{vec}}} |
| 4729 | +\newcommand{\symm}{{\mbox{\bf S}}} |
| 4730 | +\begin{split} |
| 4731 | + C_0 & = |
| 4732 | + \{ u \in \reals^l \;| \; u_k \geq 0, \; k=1, \ldots,l\}, \\ |
| 4733 | + C_{k+1} & = \{ (u_0, u_1) \in \reals \times \reals^{r_{k}-1} |
| 4734 | + \; | \; u_0 \geq \|u_1\|_2 \}, \quad k=0,\ldots, M-1, \\ |
| 4735 | + C_{k+M+1} &= \left\{ \svec(u) \; | \; u \in \symm^{t_k}_+ |
| 4736 | + \right\}, \quad k=0,\ldots,N-1. |
| 4737 | +\end{split}" /></p> |
| 4738 | +</div><p>In this definition, <img class="math" src="_images/math/1caa3e3ac8919174afb2c7d55599b897ea724bd1.png" alt="\mathbf{vec}(u)"/> denotes a symmetric matrix |
| 4739 | +<img class="math" src="_images/math/9ad99798ec4c38e165cf517cb9e02b1c9e824103.png" alt="u"/> stored as a vector in column major order. The structure of |
| 4740 | +<img class="math" src="_images/math/c3355896da590fc491a10150a50416687626d7cc.png" alt="C"/> is specified by <tt class="docutils literal"><span class="pre">dims</span></tt>. This argument is a dictionary with |
| 4741 | +three fields.</p> |
| 4742 | +<dl class="docutils"> |
| 4743 | +<dt><tt class="docutils literal"><span class="pre">dims['l']</span></tt>:</dt> |
| 4744 | +<dd><img class="math" src="_images/math/9b25f8e64b484493fda944d25cad453423041fe6.png" alt="l"/>, the dimension of the nonnegative orthant (a nonnegative |
| 4745 | +integer).</dd> |
| 4746 | +<dt><tt class="docutils literal"><span class="pre">dims['q']</span></tt>:</dt> |
| 4747 | +<dd><img class="math" src="_images/math/f9408643dfec56ef1bdd651b0858bed3b41a899b.png" alt="[r_0, \ldots, r_{M-1}]"/>, a list with the dimensions of the |
| 4748 | +second-order cones (positive integers).</dd> |
| 4749 | +<dt><tt class="docutils literal"><span class="pre">dims['s']</span></tt>:</dt> |
| 4750 | +<dd><img class="math" src="_images/math/15c9e0d5b18ecfcec0dc5faf60950122d134d40e.png" alt="[t_0, \ldots, t_{N-1}]"/>, a list with the dimensions of the |
| 4751 | +positive semidefinite cones (nonnegative integers).</dd> |
| 4752 | +</dl> |
| 4753 | +<p>The default value of <tt class="docutils literal"><span class="pre">dims</span></tt> is |
| 4754 | +<tt class="docutils literal"><span class="pre">{'l':</span> <span class="pre">G.size[0],</span> <span class="pre">'q':</span> <span class="pre">[],</span> <span class="pre">'s':</span> <span class="pre">[]}</span></tt>, |
| 4755 | +i.e., by default the |
| 4756 | +inequality is interpreted as a componentwise vector inequality.</p> |
| 4757 | +<p>The arguments <tt class="docutils literal"><span class="pre">c</span></tt>, <tt class="docutils literal"><span class="pre">h</span></tt>, and <tt class="docutils literal"><span class="pre">b</span></tt> are real single-column dense |
| 4758 | +matrices. <tt class="docutils literal"><span class="pre">G</span></tt> and <tt class="docutils literal"><span class="pre">A</span></tt> are real dense or sparse matrices. The |
| 4759 | +number of rows of <tt class="docutils literal"><span class="pre">G</span></tt> and <tt class="docutils literal"><span class="pre">h</span></tt> is equal to</p> |
| 4760 | +<div class="math"> |
| 4761 | +<p><img src="_images/math/0fb35d76d5ee3a9cea74866affcb223883174be3.png" alt="K = l + \sum_{k=0}^{M-1} r_k + \sum_{k=0}^{N-1} t_k^2." /></p> |
| 4762 | +</div><p>The columns of <tt class="docutils literal"><span class="pre">G</span></tt> and <tt class="docutils literal"><span class="pre">h</span></tt> are vectors in</p> |
| 4763 | +<div class="math"> |
| 4764 | +<p><img src="_images/math/c620bdffc558c7c84614e360601c181863f7860c.png" alt="\newcommand{\reals}{{\mbox{\bf R}}} |
| 4765 | +\reals^l \times \reals^{r_0} \times \cdots \times |
| 4766 | +\reals^{r_{M-1}} \times \reals^{t_0^2} \times \cdots \times |
| 4767 | +\reals^{t_{N-1}^2}," /></p> |
| 4768 | +</div><p>where the last <img class="math" src="_images/math/fc97ef67268cd4e91bacdf12b8901d7036c9a056.png" alt="N"/> components represent symmetric matrices |
| 4769 | +stored in column major order. The strictly upper triangular entries |
| 4770 | +of these matrices are not accessed (i.e., the symmetric matrices are |
| 4771 | +stored in the <tt class="xref py py-const docutils literal"><span class="pre">'L'</span></tt>-type column major order used in the |
| 4772 | +<tt class="xref py py-mod docutils literal"><span class="pre">blas</span></tt> and <tt class="xref py py-mod docutils literal"><span class="pre">lapack</span></tt> modules). The default values for <tt class="docutils literal"><span class="pre">A</span></tt> |
| 4773 | +and <tt class="docutils literal"><span class="pre">b</span></tt> are matrices with zero rows, meaning that there are no |
| 4774 | +equality constraints.</p> |
| 4775 | +<p><tt class="docutils literal"><span class="pre">primalstart</span></tt> is a dictionary with keys <tt class="xref py py-const docutils literal"><span class="pre">'x'</span></tt> and |
| 4776 | +<tt class="xref py py-const docutils literal"><span class="pre">'s'</span></tt>, used as an optional primal starting point. |
| 4777 | +<tt class="docutils literal"><span class="pre">primalstart['x']</span></tt> and <tt class="docutils literal"><span class="pre">primalstart['s']</span></tt> are real dense |
| 4778 | +matrices of size (<img class="math" src="_images/math/174fadd07fd54c9afe288e96558c92e0c1da733a.png" alt="n"/>, 1) and (<img class="math" src="_images/math/dfb064112b6c94470339f6571f69d07afc1c024c.png" alt="K"/>, 1), respectively, |
| 4779 | +where <img class="math" src="_images/math/174fadd07fd54c9afe288e96558c92e0c1da733a.png" alt="n"/> is the length of <tt class="docutils literal"><span class="pre">c</span></tt>. The vector |
| 4780 | +<tt class="docutils literal"><span class="pre">primalstart['s']</span></tt> must be strictly positive with respect |
| 4781 | +to the cone <img class="math" src="_images/math/c3355896da590fc491a10150a50416687626d7cc.png" alt="C"/>.</p> |
| 4782 | +<p><tt class="docutils literal"><span class="pre">dualstart</span></tt> is a dictionary with keys <tt class="xref py py-const docutils literal"><span class="pre">'y'</span></tt> and <tt class="xref py py-const docutils literal"><span class="pre">'z'</span></tt>, |
| 4783 | +used as an optional dual starting point. <tt class="docutils literal"><span class="pre">dualstart['y']</span></tt> and |
| 4784 | +<tt class="docutils literal"><span class="pre">dualstart['z']</span></tt> are real dense matrices of size (<img class="math" src="_images/math/36f73fc1312ee0349b3f3a0f3bd9eb5504339011.png" alt="p"/>, 1) |
| 4785 | +and (<img class="math" src="_images/math/dfb064112b6c94470339f6571f69d07afc1c024c.png" alt="K"/>, 1), respectively, where <img class="math" src="_images/math/36f73fc1312ee0349b3f3a0f3bd9eb5504339011.png" alt="p"/> is the number of |
| 4786 | +rows in <tt class="docutils literal"><span class="pre">A</span></tt>. The vector <tt class="docutils literal"><span class="pre">dualstart['s']</span></tt> must be strictly |
| 4787 | +positive with respect to the cone <img class="math" src="_images/math/c3355896da590fc491a10150a50416687626d7cc.png" alt="C"/>.</p> |
| 4788 | +<p>The role of the optional argument <tt class="docutils literal"><span class="pre">kktsolver</span></tt> is explained in |
| 4789 | +the section <a class="reference internal" href="#s-conelp-struct"><em>Exploiting Structure</em></a>.</p> |
| 4790 | +<p><tt class="xref py py-func docutils literal"><span class="pre">conelp</span></tt> returns a dictionary that contains the result and |
| 4791 | +information about the accuracy of the solution. The most important |
| 4792 | +fields have keys <tt class="xref py py-const docutils literal"><span class="pre">'status'</span></tt>, <tt class="xref py py-const docutils literal"><span class="pre">'x'</span></tt>, <tt class="xref py py-const docutils literal"><span class="pre">'s'</span></tt>, |
| 4793 | +<tt class="xref py py-const docutils literal"><span class="pre">'y'</span></tt>, <tt class="xref py py-const docutils literal"><span class="pre">'z'</span></tt>. The <tt class="xref py py-const docutils literal"><span class="pre">'status'</span></tt> field is a string |
| 4794 | +with possible values <tt class="xref py py-const docutils literal"><span class="pre">'optimal'</span></tt>, <tt class="xref py py-const docutils literal"><span class="pre">'primal</span> <span class="pre">infeasible'</span></tt>, |
| 4795 | +<tt class="xref py py-const docutils literal"><span class="pre">'dual</span> <span class="pre">infeasible'</span></tt>, and <tt class="xref py py-const docutils literal"><span class="pre">'unknown'</span></tt>. The meaning of |
| 4796 | +the <tt class="xref py py-const docutils literal"><span class="pre">'x'</span></tt>, <tt class="xref py py-const docutils literal"><span class="pre">'s'</span></tt>, <tt class="xref py py-const docutils literal"><span class="pre">'y'</span></tt>, <tt class="xref py py-const docutils literal"><span class="pre">'z'</span></tt> fields |
| 4797 | +depends on the value of <tt class="xref py py-const docutils literal"><span class="pre">'status'</span></tt>.</p> |
| 4798 | +<dl class="docutils"> |
| 4799 | +<dt><tt class="xref py py-const docutils literal"><span class="pre">'optimal'</span></tt></dt> |
| 4800 | +<dd><p class="first">In this case the <tt class="xref py py-const docutils literal"><span class="pre">'x'</span></tt>, <tt class="xref py py-const docutils literal"><span class="pre">'s'</span></tt>, <tt class="xref py py-const docutils literal"><span class="pre">'y'</span></tt>, and |
| 4801 | +<tt class="xref py py-const docutils literal"><span class="pre">'z'</span></tt> entries contain the primal and dual solutions, which |
| 4802 | +approximately satisfy</p> |
| 4803 | +<div class="math"> |
| 4804 | +<p><img src="_images/math/b7416ae850a4be262250cf738c69746b8c161976.png" alt="Gx + s = h, \qquad Ax = b, \qquad G^T z + A^T y + c = 0, |
| 4805 | + |
| 4806 | +s \succeq 0, \qquad z \succeq 0, \qquad s^T z = 0." /></p> |
| 4807 | +</div><p>The other entries in the output dictionary summarize the accuracy |
| 4808 | +with which these optimality conditions are satisfied. The fields |
| 4809 | +<tt class="xref py py-const docutils literal"><span class="pre">'primal</span> <span class="pre">objective'</span></tt>, <tt class="xref py py-const docutils literal"><span class="pre">'dual</span> <span class="pre">objective'</span></tt>, and |
| 4810 | +<tt class="xref py py-const docutils literal"><span class="pre">'gap'</span></tt> give the primal objective <img class="math" src="_images/math/343d0b1bdf0a89348e54e78243206b00921891fa.png" alt="c^Tx"/>, dual |
| 4811 | +objective <img class="math" src="_images/math/e3a39e1f9f23b6b48180b47a6941803e150acf02.png" alt="-h^Tz - b^Ty"/>, and the gap <img class="math" src="_images/math/2bd21984207bb64a4af86d045947fdb01d050f8f.png" alt="s^Tz"/>. The |
| 4812 | +field <tt class="xref py py-const docutils literal"><span class="pre">'relative</span> <span class="pre">gap'</span></tt> is the relative gap, defined as</p> |
| 4813 | +<div class="math"> |
| 4814 | +<p><img src="_images/math/e227404751bdf9353900cfa8acb3db338ffb45bd.png" alt="\frac{ s^Tz }{ \max\{ -c^Tx, -h^Tz-b^Ty \} } |
| 4815 | +\quad \mbox{if} \quad \max\{ -c^Tx, -h^Tz-b^Ty \} > 0" /></p> |
| 4816 | +</div><p>and <tt class="xref py py-const xref docutils literal"><span class="pre">None</span></tt> otherwise. The fields |
| 4817 | +<tt class="xref py py-const docutils literal"><span class="pre">'primal</span> <span class="pre">infeasibility'</span></tt> and <tt class="xref py py-const docutils literal"><span class="pre">'dual</span> <span class="pre">infeasibility'</span></tt> |
| 4818 | +are the residuals in the primal and dual equality constraints, |
| 4819 | +defined as</p> |
| 4820 | +<div class="math"> |
| 4821 | +<p><img src="_images/math/4d98c2c2a240fd3ece215d33344d6861c464542a.png" alt="\max\{ \frac{ \|Gx+s-h\|_2 }{ \max\{1, \|h\|_2\} }, |
| 4822 | + \frac{ \|Ax-b\|_2 }{ \max\{1,\|b\|_2\} } \}, \qquad |
| 4823 | +\frac{ \|G^Tz + A^Ty + c\|_2 }{ \max\{1, \|c\|_2\} }," /></p> |
| 4824 | +</div><p class="last">respectively.</p> |
| 4825 | +</dd> |
| 4826 | +<dt><tt class="xref py py-const docutils literal"><span class="pre">'primal</span> <span class="pre">infeasible'</span></tt></dt> |
| 4827 | +<dd><p class="first">The <tt class="xref py py-const docutils literal"><span class="pre">'x'</span></tt> and <tt class="xref py py-const docutils literal"><span class="pre">'s'</span></tt> entries are <tt class="xref py py-const xref docutils literal"><span class="pre">None</span></tt>, and |
| 4828 | +the <tt class="xref py py-const docutils literal"><span class="pre">'y'</span></tt>, <tt class="xref py py-const docutils literal"><span class="pre">'z'</span></tt> entries provide an approximate |
| 4829 | +certificate of infeasibility, i.e., vectors that approximately |
| 4830 | +satisfy</p> |
| 4831 | +<div class="math"> |
| 4832 | +<p><img src="_images/math/b57720e648d18f104bebca376094c72e087519ca.png" alt="G^T z + A^T y = 0, \qquad h^T z + b^T y = -1, \qquad |
| 4833 | +z \succeq 0." /></p> |
| 4834 | +</div><p>The field <tt class="xref py py-const docutils literal"><span class="pre">'residual</span> <span class="pre">as</span> <span class="pre">primal</span> <span class="pre">infeasibility</span> <span class="pre">certificate'</span></tt> |
| 4835 | +gives the residual</p> |
| 4836 | +<div class="last math"> |
| 4837 | +<p><img src="_images/math/c917b15b2cdc303898562683b1ac6a34297c70df.png" alt="\frac{ \|G^Tz + A^Ty\|_2 }{ \max\{1, \|c\|_2\} }." /></p> |
| 4838 | +</div></dd> |
| 4839 | +<dt><tt class="xref py py-const docutils literal"><span class="pre">'dual</span> <span class="pre">infeasible'</span></tt></dt> |
| 4840 | +<dd><p class="first">The <tt class="xref py py-const docutils literal"><span class="pre">'y'</span></tt> and <tt class="xref py py-const docutils literal"><span class="pre">'z'</span></tt> entries are <tt class="xref py py-const xref docutils literal"><span class="pre">None</span></tt>, and |
| 4841 | +the <tt class="xref py py-const docutils literal"><span class="pre">'x'</span></tt> and <tt class="xref py py-const docutils literal"><span class="pre">'s'</span></tt> entries contain an approximate |
| 4842 | +certificate of dual infeasibility</p> |
| 4843 | +<div class="math"> |
| 4844 | +<p><img src="_images/math/6489ee228737f4d9d3366e3a7432230c580b2266.png" alt="Gx + s = 0, \qquad Ax=0, \qquad c^T x = -1, \qquad |
| 4845 | +s \succeq 0." /></p> |
| 4846 | +</div><p>The field <tt class="xref py py-const docutils literal"><span class="pre">'residual</span> <span class="pre">as</span> <span class="pre">dual</span> <span class="pre">infeasibility</span> <span class="pre">certificate'</span></tt> |
| 4847 | +gives the residual</p> |
| 4848 | +<div class="last math"> |
| 4849 | +<p><img src="_images/math/723b55830eebda94339bddfe5032d381c449a3fd.png" alt="\max\{ \frac{ \|Gx + s\|_2 }{ \max\{1, \|h\|_2\} }, |
| 4850 | +\frac{ \|Ax\|_2 }{ \max\{1, \|b\|_2\} } \}." /></p> |
| 4851 | +</div></dd> |
| 4852 | +<dt><tt class="xref py py-const docutils literal"><span class="pre">'unknown'</span></tt></dt> |
| 4853 | +<dd><p class="first">This indicates that the algorithm terminated early due to |
| 4854 | +numerical difficulties or because the maximum number of iterations |
| 4855 | +was reached. The <tt class="xref py py-const docutils literal"><span class="pre">'x'</span></tt>, <tt class="xref py py-const docutils literal"><span class="pre">'s'</span></tt>, <tt class="xref py py-const docutils literal"><span class="pre">'y'</span></tt>, |
| 4856 | +<tt class="xref py py-const docutils literal"><span class="pre">'z'</span></tt> entries contain the iterates when the algorithm |
| 4857 | +terminated. Whether these entries are useful, as approximate |
| 4858 | +solutions or certificates of primal and dual infeasibility, can be |
| 4859 | +determined from the other fields in the dictionary.</p> |
| 4860 | +<p>The fields <tt class="xref py py-const docutils literal"><span class="pre">'primal</span> <span class="pre">objective'</span></tt>, <tt class="xref py py-const docutils literal"><span class="pre">'dual</span> <span class="pre">objective'</span></tt>, |
| 4861 | +<tt class="xref py py-const docutils literal"><span class="pre">'gap'</span></tt>, <tt class="xref py py-const docutils literal"><span class="pre">'relative</span> <span class="pre">gap'</span></tt>, |
| 4862 | +<tt class="xref py py-const docutils literal"><span class="pre">'primal</span> <span class="pre">infeasibility'</span></tt>, |
| 4863 | +<tt class="xref py py-const docutils literal"><span class="pre">'dual</span> <span class="pre">infeasibility'</span></tt> are defined as when <tt class="xref py py-const docutils literal"><span class="pre">'status'</span></tt> |
| 4864 | +is <tt class="xref py py-const docutils literal"><span class="pre">'optimal'</span></tt>. The field |
| 4865 | +<tt class="xref py py-const docutils literal"><span class="pre">'residual</span> <span class="pre">as</span> <span class="pre">primal</span> <span class="pre">infeasibility</span> <span class="pre">certificate'</span></tt> is defined |
| 4866 | +as</p> |
| 4867 | +<div class="math"> |
| 4868 | +<p><img src="_images/math/373f482f73854e03e6ed7bd3e56010dedac0a40f.png" alt="\frac{ \|G^Tz+A^Ty\|_2 }{ -(h^Tz + b^Ty) \max\{1, \|h\|_2 \} }." /></p> |
| 4869 | +</div><p>if <img class="math" src="_images/math/ae2badac9a46b59f50871f2bb8d27dbc0e781580.png" alt="h^Tz+b^Ty < 0"/>, and <tt class="xref py py-const xref docutils literal"><span class="pre">None</span></tt> otherwise. A small |
| 4870 | +value of this residual indicates that <img class="math" src="_images/math/092e364e1d9d19ad5fffb0b46ef4cc7f2da02c1c.png" alt="y"/> and <img class="math" src="_images/math/b13f21416d84e13708696f34dea81026cda583c9.png" alt="z"/>, |
| 4871 | +divided by <img class="math" src="_images/math/eb1d31d3ef53ada239a7c1ebcfc362b3739e5fb5.png" alt="-h^Tz-b^Ty"/>, are an approximate proof of primal |
| 4872 | +infeasibility. The field |
| 4873 | +<tt class="xref py py-const docutils literal"><span class="pre">'residual</span> <span class="pre">as</span> <span class="pre">dual</span> <span class="pre">infeasibility</span> <span class="pre">certificate'</span></tt> is defined as</p> |
| 4874 | +<div class="math"> |
| 4875 | +<p><img src="_images/math/7c7417a29910bcf840b52428dbb9ec70f1d85cd9.png" alt="\max\{ \frac{ \|Gx+s\|_2 }{ -c^Tx \max\{ 1, \|h\|_2 \} }, |
| 4876 | +\frac{ \|Ax\|_2 }{ -c^Tx \max\{1,\|b\|_2\} }\}" /></p> |
| 4877 | +</div><p class="last">if <img class="math" src="_images/math/3d5748e90487d80ee689dc7c8ea13ef316542389.png" alt="c^Tx < 0"/>, and as <tt class="xref py py-const xref docutils literal"><span class="pre">None</span></tt> otherwise. A small value |
| 4878 | +indicates that <img class="math" src="_images/math/26eeb5258ca5099acf8fe96b2a1049c48c89a5e6.png" alt="x"/> and <img class="math" src="_images/math/f37bba504894945c07a32f5496d74299a37aa51c.png" alt="s"/>, divided by <img class="math" src="_images/math/2f2c7e1863869b3b250c3397ca8146a4d4863f1b.png" alt="-c^Tx"/> |
| 4879 | +are an approximate proof of dual infeasibility.</p> |
| 4880 | +</dd> |
| 4881 | +</dl> |
| 4882 | +<p>It is required that</p> |
| 4883 | +<div class="math"> |
| 4884 | +<p><img src="_images/math/eebbe23287e11c882a2db71db881db3bb8dc23c4.png" alt="\newcommand{\Rank}{\mathop{\bf rank}} |
| 4885 | +\Rank(A) = p, \qquad |
| 4886 | +\Rank(\left[\begin{array}{c} G \\ A \end{array}\right]) = n," /></p> |
| 4887 | +</div><p>where <img class="math" src="_images/math/36f73fc1312ee0349b3f3a0f3bd9eb5504339011.png" alt="p"/> is the number or rows of <img class="math" src="_images/math/019e9892786e493964e145e7c5cf7b700314e53b.png" alt="A"/> and <img class="math" src="_images/math/174fadd07fd54c9afe288e96558c92e0c1da733a.png" alt="n"/> is |
| 4888 | +the number of columns of <img class="math" src="_images/math/6e28ce12d49d39f160d5a0ef54077fc98e4b9d2b.png" alt="G"/> and <img class="math" src="_images/math/019e9892786e493964e145e7c5cf7b700314e53b.png" alt="A"/>.</p> |
| 4889 | +</dd></dl> |
| 4890 | + |
| 4891 | +<p>As an example we solve the problem</p> |
| 4892 | +<div class="math"> |
| 4893 | +<p><img src="_images/math/ec3d0c1e0e6c4dc7823c2bdefd3004179a4338c3.png" alt="\begin{array}{ll} |
| 4894 | +\mbox{minimize} & -6x_1 - 4x_2 - 5x_3 \\*[1ex] |
| 4895 | +\mbox{subject to} |
| 4896 | + & 16x_1 - 14x_2 + 5x_3 \leq -3 \\*[1ex] |
| 4897 | + & 7x_1 + 2x_2 \leq 5 \\*[1ex] |
| 4898 | + & \left\| \left[ \begin{array}{c} |
| 4899 | + 8x_1 + 13x_2 - 12x_3 - 2 \\ |
| 4900 | + -8x_1 + 18x_2 + 6x_3 - 14 \\ |
| 4901 | + x_1 - 3x_2 - 17x_3 - 13 \end{array}\right] \right\|_2 |
| 4902 | + \leq -24x_1 - 7x_2 + 15x_3 + 12 \\*[3ex] |
| 4903 | + & \left\| \left[ |
| 4904 | + \begin{array}{c} x_1 \\ x_2 \\ x_3 \end{array} |
| 4905 | + \right] \right\|_2 \leq 10 \\*[3ex] |
| 4906 | + & \left[\begin{array}{ccc} |
| 4907 | + 7x_1 + 3x_2 + 9x_3 & -5x_1 + 13x_2 + 6x_3 & |
| 4908 | + x_1 - 6x_2 - 6x_3\\ |
| 4909 | + -5x_1 + 13x_2 + 6x_3 & x_1 + 12x_2 - 7x_3 & |
| 4910 | + -7x_1 -10x_2 - 7x_3\\ |
| 4911 | + x_1 - 6x_2 -6x_3 & -7x_1 -10x_2 -7 x_3 & |
| 4912 | + -4x_1 -28 x_2 -11x_3 |
| 4913 | + \end{array}\right] |
| 4914 | +\preceq \left[\begin{array}{ccc} |
| 4915 | + 68 & -30 & -19 \\ |
| 4916 | + -30 & 99 & 23 \\ |
| 4917 | + -19 & 23 & 10 \end{array}\right]. |
| 4918 | +\end{array}" /></p> |
| 4919 | +</div><div class="highlight-python"><div class="highlight"><pre><span class="gp">>>> </span><span class="kn">from</span> <span class="nn">cvxopt</span> <span class="kn">import</span> <span class="n">matrix</span><span class="p">,</span> <span class="n">solvers</span> |
| 4920 | +<span class="gp">>>> </span><span class="n">c</span> <span class="o">=</span> <span class="n">matrix</span><span class="p">([</span><span class="o">-</span><span class="mf">6.</span><span class="p">,</span> <span class="o">-</span><span class="mf">4.</span><span class="p">,</span> <span class="o">-</span><span class="mf">5.</span><span class="p">])</span> |
| 4921 | +<span class="gp">>>> </span><span class="n">G</span> <span class="o">=</span> <span class="n">matrix</span><span class="p">([[</span> <span class="mf">16.</span><span class="p">,</span> <span class="mf">7.</span><span class="p">,</span> <span class="mf">24.</span><span class="p">,</span> <span class="o">-</span><span class="mf">8.</span><span class="p">,</span> <span class="mf">8.</span><span class="p">,</span> <span class="o">-</span><span class="mf">1.</span><span class="p">,</span> <span class="mf">0.</span><span class="p">,</span> <span class="o">-</span><span class="mf">1.</span><span class="p">,</span> <span class="mf">0.</span><span class="p">,</span> <span class="mf">0.</span><span class="p">,</span> |
| 4922 | +<span class="go"> 7., -5., 1., -5., 1., -7., 1., -7., -4.],</span> |
| 4923 | +<span class="go"> [-14., 2., 7., -13., -18., 3., 0., 0., -1., 0.,</span> |
| 4924 | +<span class="go"> 3., 13., -6., 13., 12., -10., -6., -10., -28.],</span> |
| 4925 | +<span class="go"> [ 5., 0., -15., 12., -6., 17., 0., 0., 0., -1.,</span> |
| 4926 | +<span class="go"> 9., 6., -6., 6., -7., -7., -6., -7., -11.]])</span> |
| 4927 | +<span class="gp">>>> </span><span class="n">h</span> <span class="o">=</span> <span class="n">matrix</span><span class="p">(</span> <span class="p">[</span> <span class="o">-</span><span class="mf">3.</span><span class="p">,</span> <span class="mf">5.</span><span class="p">,</span> <span class="mf">12.</span><span class="p">,</span> <span class="o">-</span><span class="mf">2.</span><span class="p">,</span> <span class="o">-</span><span class="mf">14.</span><span class="p">,</span> <span class="o">-</span><span class="mf">13.</span><span class="p">,</span> <span class="mf">10.</span><span class="p">,</span> <span class="mf">0.</span><span class="p">,</span> <span class="mf">0.</span><span class="p">,</span> <span class="mf">0.</span><span class="p">,</span> |
| 4928 | +<span class="go"> 68., -30., -19., -30., 99., 23., -19., 23., 10.] )</span> |
| 4929 | +<span class="gp">>>> </span><span class="n">dims</span> <span class="o">=</span> <span class="p">{</span><span class="s">'l'</span><span class="p">:</span> <span class="mi">2</span><span class="p">,</span> <span class="s">'q'</span><span class="p">:</span> <span class="p">[</span><span class="mi">4</span><span class="p">,</span> <span class="mi">4</span><span class="p">],</span> <span class="s">'s'</span><span class="p">:</span> <span class="p">[</span><span class="mi">3</span><span class="p">]}</span> |
| 4930 | +<span class="gp">>>> </span><span class="n">sol</span> <span class="o">=</span> <span class="n">solvers</span><span class="o">.</span><span class="n">conelp</span><span class="p">(</span><span class="n">c</span><span class="p">,</span> <span class="n">G</span><span class="p">,</span> <span class="n">h</span><span class="p">,</span> <span class="n">dims</span><span class="p">)</span> |
| 4931 | +<span class="gp">>>> </span><span class="n">sol</span><span class="p">[</span><span class="s">'status'</span><span class="p">]</span> |
| 4932 | +<span class="go">'optimal'</span> |
| 4933 | +<span class="gp">>>> </span><span class="k">print</span> <span class="n">sol</span><span class="p">[</span><span class="s">'x'</span><span class="p">]</span> |
| 4934 | +<span class="go">[-1.22e+00]</span> |
| 4935 | +<span class="go">[ 9.66e-02]</span> |
| 4936 | +<span class="go">[ 3.58e+00]</span> |
| 4937 | +<span class="gp">>>> </span><span class="k">print</span> <span class="n">sol</span><span class="p">[</span><span class="s">'z'</span><span class="p">]</span> |
| 4938 | +<span class="go">[ 9.30e-02]</span> |
| 4939 | +<span class="go">[ 2.04e-08]</span> |
| 4940 | +<span class="go">[ 2.35e-01]</span> |
| 4941 | +<span class="go">[ 1.33e-01]</span> |
| 4942 | +<span class="go">[-4.74e-02]</span> |
| 4943 | +<span class="go">[ 1.88e-01]</span> |
| 4944 | +<span class="go">[ 2.79e-08]</span> |
| 4945 | +<span class="go">[ 1.85e-09]</span> |
| 4946 | +<span class="go">[-6.32e-10]</span> |
| 4947 | +<span class="go">[-7.59e-09]</span> |
| 4948 | +<span class="go">[ 1.26e-01]</span> |
| 4949 | +<span class="go">[ 8.78e-02]</span> |
| 4950 | +<span class="go">[-8.67e-02]</span> |
| 4951 | +<span class="go">[ 8.78e-02]</span> |
| 4952 | +<span class="go">[ 6.13e-02]</span> |
| 4953 | +<span class="go">[-6.06e-02]</span> |
| 4954 | +<span class="go">[-8.67e-02]</span> |
| 4955 | +<span class="go">[-6.06e-02]</span> |
| 4956 | +<span class="go">[ 5.98e-02]</span> |
| 4957 | +</pre></div> |
| 4958 | +</div> |
| 4959 | +<p>Only the entries of <tt class="docutils literal"><span class="pre">G</span></tt> and <tt class="docutils literal"><span class="pre">h</span></tt> defining the lower triangular portions |
| 4960 | +of the coefficients in the linear matrix inequalities are accessed. We |
| 4961 | +obtain the same result if we define <tt class="docutils literal"><span class="pre">G</span></tt> and <tt class="docutils literal"><span class="pre">h</span></tt> as below.</p> |
| 4962 | +<div class="highlight-python"><div class="highlight"><pre><span class="gp">>>> </span><span class="n">G</span> <span class="o">=</span> <span class="n">matrix</span><span class="p">([[</span> <span class="mf">16.</span><span class="p">,</span> <span class="mf">7.</span><span class="p">,</span> <span class="mf">24.</span><span class="p">,</span> <span class="o">-</span><span class="mf">8.</span><span class="p">,</span> <span class="mf">8.</span><span class="p">,</span> <span class="o">-</span><span class="mf">1.</span><span class="p">,</span> <span class="mf">0.</span><span class="p">,</span> <span class="o">-</span><span class="mf">1.</span><span class="p">,</span> <span class="mf">0.</span><span class="p">,</span> <span class="mf">0.</span><span class="p">,</span> |
| 4963 | +<span class="go"> 7., -5., 1., 0., 1., -7., 0., 0., -4.],</span> |
| 4964 | +<span class="go"> [-14., 2., 7., -13., -18., 3., 0., 0., -1., 0.,</span> |
| 4965 | +<span class="go"> 3., 13., -6., 0., 12., -10., 0., 0., -28.],</span> |
| 4966 | +<span class="go"> [ 5., 0., -15., 12., -6., 17., 0., 0., 0., -1.,</span> |
| 4967 | +<span class="go"> 9., 6., -6., 0., -7., -7., 0., 0., -11.]])</span> |
| 4968 | +<span class="gp">>>> </span><span class="n">h</span> <span class="o">=</span> <span class="n">matrix</span><span class="p">(</span> <span class="p">[</span> <span class="o">-</span><span class="mf">3.</span><span class="p">,</span> <span class="mf">5.</span><span class="p">,</span> <span class="mf">12.</span><span class="p">,</span> <span class="o">-</span><span class="mf">2.</span><span class="p">,</span> <span class="o">-</span><span class="mf">14.</span><span class="p">,</span> <span class="o">-</span><span class="mf">13.</span><span class="p">,</span> <span class="mf">10.</span><span class="p">,</span> <span class="mf">0.</span><span class="p">,</span> <span class="mf">0.</span><span class="p">,</span> <span class="mf">0.</span><span class="p">,</span> |
| 4969 | +<span class="go"> 68., -30., -19., 0., 99., 23., 0., 0., 10.] )</span> |
| 4970 | +</pre></div> |
| 4971 | +</div> |
| 4972 | +</div> |
| 4973 | +<div class="section" id="quadratic-cone-programs"> |
| 4974 | +<span id="s-coneqp"></span><h2>Quadratic Cone Programs<a class="headerlink" href="#quadratic-cone-programs" title="Permalink to this headline">¶</a></h2> |
| 4975 | +<dl class="function"> |
| 4976 | +<dt id="cvxopt.solvers.coneqp"> |
| 4977 | +<tt class="descclassname">cvxopt.solvers.</tt><tt class="descname">coneqp</tt><big>(</big><em>P</em>, <em>q</em><span class="optional">[</span>, <em>G</em>, <em>h</em><span class="optional">[</span>, <em>dims</em><span class="optional">[</span>, <em>A</em>, <em>b</em><span class="optional">[</span>, <em>initvals</em><span class="optional">[</span>, <em>kktsolver</em><span class="optional">]</span><span class="optional">]</span><span class="optional">]</span><span class="optional">]</span><span class="optional">]</span><big>)</big><a class="headerlink" href="#cvxopt.solvers.coneqp" title="Permalink to this definition">¶</a></dt> |
| 4978 | +<dd><p>Solves a pair of primal and dual quadratic cone programs</p> |
| 4979 | +<div class="math"> |
| 4980 | +<p><img src="_images/math/e91b9a70b0279938a93a0ec387ee7359ddb67098.png" alt="\begin{array}[t]{ll} |
| 4981 | +\mbox{minimize} & (1/2) x^T Px + q^T x \\ |
| 4982 | +\mbox{subject to} & G x + s = h \\ |
| 4983 | + & Ax = b \\ |
| 4984 | + & s \succeq 0 |
| 4985 | +\end{array}" /></p> |
| 4986 | +</div><p>and</p> |
| 4987 | +<div class="math"> |
| 4988 | +<p><img src="_images/math/35cf8b0b6e5f53cc10c6ef43b8bc6fc921888521.png" alt="\newcommand{\Range}{\mbox{\textrm{range}}} |
| 4989 | +\begin{array}[t]{ll} |
| 4990 | +\mbox{maximize} & -(1/2) (q+G^Tz+A^Ty)^T P^\dagger |
| 4991 | + (q+G^Tz+A^Ty) -h^T z - b^T y \\ |
| 4992 | +\mbox{subject to} & q + G^T z + A^T y \in \Range(P) \\ |
| 4993 | + & z \succeq 0. |
| 4994 | +\end{array}" /></p> |
| 4995 | +</div><p>The primal variables are <img class="math" src="_images/math/26eeb5258ca5099acf8fe96b2a1049c48c89a5e6.png" alt="x"/> and the slack variable <img class="math" src="_images/math/f37bba504894945c07a32f5496d74299a37aa51c.png" alt="s"/>. |
| 4996 | +The dual variables are <img class="math" src="_images/math/092e364e1d9d19ad5fffb0b46ef4cc7f2da02c1c.png" alt="y"/> and <img class="math" src="_images/math/b13f21416d84e13708696f34dea81026cda583c9.png" alt="z"/>. The inequalities are |
| 4997 | +interpreted as <img class="math" src="_images/math/a0bfc2010a37ca5ee8d8553f74881b8e12ea4bfd.png" alt="s \in C"/>, <img class="math" src="_images/math/d22f3a5882fad95b5a9af193c57e3db91989d676.png" alt="z\in C"/>, where <img class="math" src="_images/math/c3355896da590fc491a10150a50416687626d7cc.png" alt="C"/> is a |
| 4998 | +cone defined as a Cartesian product of a nonnegative orthant, a number |
| 4999 | +of second-order cones, and a number of positive semidefinite cones:</p> |
| 5000 | +<div class="math"> |
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Where is the upstream tar?