538 lines
12 KiB
HTML
538 lines
12 KiB
HTML
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<?xml version="1.0" encoding="utf-8"?>
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<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Strict//EN"
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"http://www.w3.org/TR/xhtml1/DTD/xhtml1-strict.dtd">
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<html xmlns="http://www.w3.org/1999/xhtml" lang="en" xml:lang="en">
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<head>
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<!-- 2024-04-30 tor 19:39 -->
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<meta http-equiv="Content-Type" content="text/html;charset=utf-8" />
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<meta name="viewport" content="width=device-width, initial-scale=1" />
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<title>‎</title>
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<meta name="author" content="Yuri" />
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<meta name="generator" content="Org Mode" />
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<style>
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#content { max-width: 60em; margin: auto; }
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.title { text-align: center;
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margin-bottom: .2em; }
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.subtitle { text-align: center;
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font-size: medium;
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font-weight: bold;
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margin-top:0; }
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.todo { font-family: monospace; color: red; }
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.done { font-family: monospace; color: green; }
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.priority { font-family: monospace; color: orange; }
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.tag { background-color: #eee; font-family: monospace;
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padding: 2px; font-size: 80%; font-weight: normal; }
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.timestamp { color: #bebebe; }
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.timestamp-kwd { color: #5f9ea0; }
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.org-right { margin-left: auto; margin-right: 0px; text-align: right; }
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.org-left { margin-left: 0px; margin-right: auto; text-align: left; }
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.org-center { margin-left: auto; margin-right: auto; text-align: center; }
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.underline { text-decoration: underline; }
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#postamble p, #preamble p { font-size: 90%; margin: .2em; }
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p.verse { margin-left: 3%; }
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pre {
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border: 1px solid #e6e6e6;
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border-radius: 3px;
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background-color: #f2f2f2;
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padding: 8pt;
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font-family: monospace;
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overflow: auto;
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margin: 1.2em;
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}
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pre.src {
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position: relative;
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overflow: auto;
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}
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pre.src:before {
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display: none;
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position: absolute;
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top: -8px;
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right: 12px;
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padding: 3px;
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color: #555;
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background-color: #f2f2f299;
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}
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pre.src:hover:before { display: inline; margin-top: 14px;}
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/* Languages per Org manual */
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pre.src-asymptote:before { content: 'Asymptote'; }
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pre.src-awk:before { content: 'Awk'; }
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pre.src-authinfo::before { content: 'Authinfo'; }
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pre.src-C:before { content: 'C'; }
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/* pre.src-C++ doesn't work in CSS */
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pre.src-clojure:before { content: 'Clojure'; }
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pre.src-css:before { content: 'CSS'; }
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pre.src-D:before { content: 'D'; }
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pre.src-ditaa:before { content: 'ditaa'; }
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pre.src-dot:before { content: 'Graphviz'; }
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pre.src-calc:before { content: 'Emacs Calc'; }
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pre.src-emacs-lisp:before { content: 'Emacs Lisp'; }
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pre.src-fortran:before { content: 'Fortran'; }
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pre.src-gnuplot:before { content: 'gnuplot'; }
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pre.src-haskell:before { content: 'Haskell'; }
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pre.src-hledger:before { content: 'hledger'; }
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pre.src-java:before { content: 'Java'; }
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pre.src-js:before { content: 'Javascript'; }
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pre.src-latex:before { content: 'LaTeX'; }
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pre.src-ledger:before { content: 'Ledger'; }
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pre.src-lisp:before { content: 'Lisp'; }
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pre.src-lilypond:before { content: 'Lilypond'; }
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pre.src-lua:before { content: 'Lua'; }
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pre.src-matlab:before { content: 'MATLAB'; }
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pre.src-mscgen:before { content: 'Mscgen'; }
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pre.src-ocaml:before { content: 'Objective Caml'; }
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pre.src-octave:before { content: 'Octave'; }
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pre.src-org:before { content: 'Org mode'; }
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pre.src-oz:before { content: 'OZ'; }
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pre.src-plantuml:before { content: 'Plantuml'; }
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pre.src-processing:before { content: 'Processing.js'; }
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pre.src-python:before { content: 'Python'; }
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pre.src-R:before { content: 'R'; }
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pre.src-ruby:before { content: 'Ruby'; }
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pre.src-sass:before { content: 'Sass'; }
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pre.src-scheme:before { content: 'Scheme'; }
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pre.src-screen:before { content: 'Gnu Screen'; }
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pre.src-sed:before { content: 'Sed'; }
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pre.src-sh:before { content: 'shell'; }
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pre.src-sql:before { content: 'SQL'; }
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pre.src-sqlite:before { content: 'SQLite'; }
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/* additional languages in org.el's org-babel-load-languages alist */
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pre.src-forth:before { content: 'Forth'; }
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pre.src-io:before { content: 'IO'; }
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pre.src-J:before { content: 'J'; }
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pre.src-makefile:before { content: 'Makefile'; }
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pre.src-maxima:before { content: 'Maxima'; }
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pre.src-perl:before { content: 'Perl'; }
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pre.src-picolisp:before { content: 'Pico Lisp'; }
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pre.src-scala:before { content: 'Scala'; }
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pre.src-shell:before { content: 'Shell Script'; }
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pre.src-ebnf2ps:before { content: 'ebfn2ps'; }
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/* additional language identifiers per "defun org-babel-execute"
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in ob-*.el */
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pre.src-cpp:before { content: 'C++'; }
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pre.src-abc:before { content: 'ABC'; }
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pre.src-coq:before { content: 'Coq'; }
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pre.src-groovy:before { content: 'Groovy'; }
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/* additional language identifiers from org-babel-shell-names in
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ob-shell.el: ob-shell is the only babel language using a lambda to put
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the execution function name together. */
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pre.src-bash:before { content: 'bash'; }
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pre.src-csh:before { content: 'csh'; }
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pre.src-ash:before { content: 'ash'; }
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pre.src-dash:before { content: 'dash'; }
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pre.src-ksh:before { content: 'ksh'; }
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pre.src-mksh:before { content: 'mksh'; }
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pre.src-posh:before { content: 'posh'; }
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/* Additional Emacs modes also supported by the LaTeX listings package */
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pre.src-ada:before { content: 'Ada'; }
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pre.src-asm:before { content: 'Assembler'; }
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pre.src-caml:before { content: 'Caml'; }
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pre.src-delphi:before { content: 'Delphi'; }
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pre.src-html:before { content: 'HTML'; }
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pre.src-idl:before { content: 'IDL'; }
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pre.src-mercury:before { content: 'Mercury'; }
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pre.src-metapost:before { content: 'MetaPost'; }
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pre.src-modula-2:before { content: 'Modula-2'; }
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pre.src-pascal:before { content: 'Pascal'; }
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pre.src-ps:before { content: 'PostScript'; }
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pre.src-prolog:before { content: 'Prolog'; }
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pre.src-simula:before { content: 'Simula'; }
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pre.src-tcl:before { content: 'tcl'; }
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pre.src-tex:before { content: 'TeX'; }
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pre.src-plain-tex:before { content: 'Plain TeX'; }
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pre.src-verilog:before { content: 'Verilog'; }
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pre.src-vhdl:before { content: 'VHDL'; }
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pre.src-xml:before { content: 'XML'; }
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pre.src-nxml:before { content: 'XML'; }
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/* add a generic configuration mode; LaTeX export needs an additional
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(add-to-list 'org-latex-listings-langs '(conf " ")) in .emacs */
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pre.src-conf:before { content: 'Configuration File'; }
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table { border-collapse:collapse; }
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caption.t-above { caption-side: top; }
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caption.t-bottom { caption-side: bottom; }
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td, th { vertical-align:top; }
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th.org-right { text-align: center; }
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th.org-left { text-align: center; }
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th.org-center { text-align: center; }
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td.org-right { text-align: right; }
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td.org-left { text-align: left; }
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td.org-center { text-align: center; }
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dt { font-weight: bold; }
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.footpara { display: inline; }
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.footdef { margin-bottom: 1em; }
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.figure { padding: 1em; }
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.figure p { text-align: center; }
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.equation-container {
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display: table;
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text-align: center;
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width: 100%;
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}
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.equation {
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vertical-align: middle;
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}
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.equation-label {
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display: table-cell;
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text-align: right;
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vertical-align: middle;
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}
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.inlinetask {
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padding: 10px;
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border: 2px solid gray;
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margin: 10px;
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background: #ffffcc;
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}
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#org-div-home-and-up
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{ text-align: right; font-size: 70%; white-space: nowrap; }
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textarea { overflow-x: auto; }
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.linenr { font-size: smaller }
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.code-highlighted { background-color: #ffff00; }
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.org-info-js_info-navigation { border-style: none; }
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#org-info-js_console-label
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{ font-size: 10px; font-weight: bold; white-space: nowrap; }
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.org-info-js_search-highlight
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{ background-color: #ffff00; color: #000000; font-weight: bold; }
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.org-svg { }
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</style>
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</head>
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<body>
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<div id="content" class="content">
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<p>
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#lang scheme
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</p>
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<p>
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;; 1.9
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</p>
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<p>
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;; 1. primer: rekurziven
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;; (+ 4 5) = inc((inc(inc(inc(5)))) = inc((inc(inc(6))) = inc((inc(7)) = inc(8) = 9
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;; 2. primer: iterativen
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;; (+ 4 5):
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;; (+ 3 6)
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;; (+ 2 7)
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;; (+ 1 8)
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;; (+ 0 9)
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;; 9
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</p>
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<p>
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;; 1.10
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;; Ackermannova funkcija
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;; <a href="https://en.wikipedia.org/wiki/Ackermann_function">https://en.wikipedia.org/wiki/Ackermann_function</a> - tukaj malo drugacna definicija, mislim, da se indeksiranje premakne za 3
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</p>
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<p>
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( define (A x y)
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( cond ((= y 0 ) 0 )
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(( = x 0 ) ( * 2 y))
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((= y 1 ) 2 )
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( else (A ( - x 1 )
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( A x ( - y 1 ) ) ) ) ) )
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</p>
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<p>
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(A 1 10 )
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(A 2 4)
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(A 3 3)
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</p>
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<p>
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;; (f n) = 2*n
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;; (g n) = 2<sup>n</sup>
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;; (h n) =
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</p>
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<p>
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;;;; iz knjige
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;;;;
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(define (fib n)
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( cond (( = n 0 ) 0)
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(( = n 1) 1 )
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( else ( + ( fib ( - n 1 ) )
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( fib ( - n 2 ) ) ) ) ) )
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</p>
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<p>
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(fib 10)
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;;;;
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;;;;
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</p>
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<p>
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;; 1.11
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</p>
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<p>
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;; rekurzivno
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(define (f-rec n)
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( cond (( < n 3 ) n)
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( else ( + (f-rec ( - n 1 )) (* 2 (f-rec (- n 2))) (* 3 (f-rec (- n 3)))))))
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</p>
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<p>
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(f-rec 6)
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</p>
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<p>
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;;;; iz knjige
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;;;;
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( define (fib2 n)
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( fib-iter 1 0 n) )
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</p>
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<p>
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( define ( fib-iter a b count )
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( if (= count 0 )
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b
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( fib-iter (+ a b) a ( - count 1 ) ) ) )
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</p>
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<p>
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(fib2 10)
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;;;;
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;;;;
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</p>
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<p>
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;; iterativno
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( define (f2 n)
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( f-iter n (if (< n 2) n 2)) )
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</p>
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<p>
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( define ( f-iter max-count sum)
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( if (< max-count 3 )
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max-count
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(+ (f-iter (- max-count 1) sum) (* 2 (f-iter (- max-count 2) sum )) (* 3 (f-iter (- max-count 3) sum )))))
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</p>
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<p>
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(f2 6)
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</p>
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<p>
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;; 1.12
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(define (pascal r c)
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(if (or (= r 0) (= c 1) (= c r))
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1
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(+ (pascal (- r 1) c) (pascal (- r 1) (- c 1)))))
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</p>
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<p>
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(pascal 5 3)
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</p>
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<p>
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;; 1.13 na papirju
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</p>
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<p>
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;; 1.14 na papirju
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</p>
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<p>
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;;;; iz knjige
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;;;;
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( define ( count-change amount )
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( cc amount 5 ) )
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</p>
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<p>
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( define ( cc amount kinds-of-coins )
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( cond (( = amount 0) 1 )
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(( or (< amount 0 ) ( = kinds-of-coins 0 ) ) 0 )
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( else (+ ( cc amount
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||
|
|
( - kinds-of-coins 1 ) )
|
||
|
|
( cc ( - amount
|
||
|
|
( first-denomination kinds-of-coins ) )
|
||
|
|
kinds-of-coins ) ) ) ) )
|
||
|
|
(define ( first-denomination kinds-of-coins)
|
||
|
|
( cond (( = kinds-of-coins 1 ) 1)
|
||
|
|
(( = kinds-of-coins 2 ) 5)
|
||
|
|
(( = kinds-of-coins 3) 10 )
|
||
|
|
(( = kinds-of-coins 4) 25 )
|
||
|
|
(( = kinds-of-coins 5 ) 50) ) )
|
||
|
|
</p>
|
||
|
|
|
||
|
|
<p>
|
||
|
|
( count-change 11)
|
||
|
|
;;;;
|
||
|
|
;;;;
|
||
|
|
</p>
|
||
|
|
|
||
|
|
|
||
|
|
<p>
|
||
|
|
;;;; iz knjige
|
||
|
|
;;;;
|
||
|
|
(define (square x) (* x x))
|
||
|
|
</p>
|
||
|
|
|
||
|
|
<p>
|
||
|
|
( define ( even? n)
|
||
|
|
(= (remainder n 2 ) 0 ) )
|
||
|
|
</p>
|
||
|
|
|
||
|
|
<p>
|
||
|
|
( define ( fast-expt b n)
|
||
|
|
( cond ( (= n 0 ) 1 )
|
||
|
|
( ( even? n ) ( square ( fast-expt b ( / n 2 ) ) ) )
|
||
|
|
( else ( * b ( fast-expt b ( - n 1 ) ) ) ) ) )
|
||
|
|
</p>
|
||
|
|
|
||
|
|
<p>
|
||
|
|
(fast-expt 2 5)
|
||
|
|
;;;;
|
||
|
|
;;;;
|
||
|
|
</p>
|
||
|
|
|
||
|
|
<p>
|
||
|
|
;; 1.15
|
||
|
|
;; a) 5
|
||
|
|
;; b) O(log n) (?)
|
||
|
|
</p>
|
||
|
|
|
||
|
|
<p>
|
||
|
|
;; 1.16
|
||
|
|
( define ( fast-exp-iter n b a )
|
||
|
|
( if (= n 0 )
|
||
|
|
a
|
||
|
|
(if (even? n) (fast-exp-iter ( / n 2 ) (square b) a ) ( * b ( fast-exp-iter ( - n 1 ) (* a b) a ) ) ) ) )
|
||
|
|
</p>
|
||
|
|
|
||
|
|
<p>
|
||
|
|
(fast-exp-iter 10 2 1 )
|
||
|
|
</p>
|
||
|
|
|
||
|
|
<p>
|
||
|
|
;; 1.17
|
||
|
|
</p>
|
||
|
|
|
||
|
|
<p>
|
||
|
|
;;;; iz knjige
|
||
|
|
;;;;
|
||
|
|
(define (mult a b)
|
||
|
|
(if (= b 0)
|
||
|
|
0
|
||
|
|
(+ a (mult a (- b 1 ) ) ) ) )
|
||
|
|
</p>
|
||
|
|
|
||
|
|
<p>
|
||
|
|
(mult 3 4)
|
||
|
|
;;;;
|
||
|
|
;;;;
|
||
|
|
</p>
|
||
|
|
|
||
|
|
<p>
|
||
|
|
;; naloga
|
||
|
|
(define (double x) (+ x x))
|
||
|
|
(define (halve x) (/ x 2)) ;; a bi to moralo biti kako drugace; zakaj uporabljam deljenje pri implementaciji mnozenja s sestevanjem
|
||
|
|
</p>
|
||
|
|
|
||
|
|
<p>
|
||
|
|
( define ( fast-mult a b)
|
||
|
|
( cond ( (= b 0 ) 0 )
|
||
|
|
( ( even? b ) ( double ( fast-mult a (halve b) ) ) )
|
||
|
|
( else ( + a ( fast-mult a ( - b 1 ) ) ) ) ) )
|
||
|
|
</p>
|
||
|
|
|
||
|
|
<p>
|
||
|
|
(fast-mult 8 7)
|
||
|
|
</p>
|
||
|
|
|
||
|
|
<p>
|
||
|
|
;; 1.18
|
||
|
|
</p>
|
||
|
|
|
||
|
|
<p>
|
||
|
|
( define ( fast-mult-iter b a c)
|
||
|
|
( if (= b 0 )
|
||
|
|
0
|
||
|
|
(if (even? b) (fast-mult-iter (halve b) (double a) c ) ( + a ( fast-mult-iter ( - b 1 ) a c ) ) ) ) )
|
||
|
|
</p>
|
||
|
|
|
||
|
|
<p>
|
||
|
|
(fast-mult-iter 18 10 0 )
|
||
|
|
</p>
|
||
|
|
|
||
|
|
<p>
|
||
|
|
;; 1.21
|
||
|
|
</p>
|
||
|
|
|
||
|
|
<p>
|
||
|
|
;;;; iz knjige
|
||
|
|
;;;;
|
||
|
|
( define ( smallest-divisor n)
|
||
|
|
( find-divisor n 2 ) )
|
||
|
|
( define (find-divisor n test-divisor)
|
||
|
|
( cond (( > ( square test-divisor) n) n)
|
||
|
|
(( divides? test-divisor n) test-divisor)
|
||
|
|
(else ( find-divisor n (+ test-divisor 1 ) ) ) ) )
|
||
|
|
( define (divides? a b )
|
||
|
|
(= (remainder b a) 0 ) )
|
||
|
|
</p>
|
||
|
|
|
||
|
|
<p>
|
||
|
|
(smallest-divisor 19999)
|
||
|
|
</p>
|
||
|
|
|
||
|
|
<p>
|
||
|
|
( define (prime? n)
|
||
|
|
(= n ( smallest-divisor n) ) )
|
||
|
|
;;;;
|
||
|
|
;;;;
|
||
|
|
</p>
|
||
|
|
|
||
|
|
|
||
|
|
|
||
|
|
<p>
|
||
|
|
;; 1.22
|
||
|
|
</p>
|
||
|
|
|
||
|
|
<p>
|
||
|
|
(define (runtime) (current-milliseconds)) ;; brez tega error: runtime: unbound identifier in: runtime
|
||
|
|
</p>
|
||
|
|
|
||
|
|
<p>
|
||
|
|
;;;; iz knjige
|
||
|
|
;;;;
|
||
|
|
(define (timed-prime-test n)
|
||
|
|
(newline)
|
||
|
|
(display n)
|
||
|
|
(start-prime-test n (runtime)))
|
||
|
|
(define (start-prime-test n start-time)
|
||
|
|
(if (prime? n)
|
||
|
|
(report-prime (- (runtime) start-time)) -1))
|
||
|
|
(define (report-prime elapsed-time)
|
||
|
|
(display "<b>*</b>" )
|
||
|
|
(display elapsed-time))
|
||
|
|
;;;;
|
||
|
|
;;;;
|
||
|
|
</p>
|
||
|
|
|
||
|
|
<p>
|
||
|
|
(timed-prime-test 87178291199) ;; 35742549198872617291353508656626642567
|
||
|
|
</p>
|
||
|
|
|
||
|
|
<p>
|
||
|
|
;; <a href="https://en.wikipedia.org/wiki/List_of_prime_numbers">https://en.wikipedia.org/wiki/List_of_prime_numbers</a>
|
||
|
|
</p>
|
||
|
|
|
||
|
|
|
||
|
|
<p>
|
||
|
|
;; 1.26
|
||
|
|
;; ker se s klicanjem (/ exp 2) v navadnem mnozenju parameter exp ne razpolovi v naslednjem koraku ?</p>
|
||
|
|
</div>
|
||
|
|
<div id="postamble" class="status">
|
||
|
|
<p class="author">Author: Yuri</p>
|
||
|
|
<p class="date">Created: 2024-04-30 tor 19:39</p>
|
||
|
|
<p class="validation"><a href="https://validator.w3.org/check?uri=referer">Validate</a></p>
|
||
|
|
</div>
|
||
|
|
</body>
|
||
|
|
</html>
|